xref: /petsc/src/mat/impls/baij/seq/baijfact.c (revision b9b9770376f6bdad54cc53bb7a8b79bbb53b7e80)
1*b9b97703SBarry Smith /*$Id: baijfact.c,v 1.82 2000/04/12 04:23:32 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__
15*b9b97703SBarry Smith #define __FUNC__ /*<a name="MatLUFactorSymbolic_SeqBAIJ"></a>*/"MatLUFactorSymbolic_SeqBAIJ"
16*b9b97703SBarry Smith int MatLUFactorSymbolic_SeqBAIJ(Mat A,IS isrow,IS iscol,MatLUInfo *info,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;
23*b9b97703SBarry Smith   PetscReal   f = 1.0;
245d517e7eSBarry Smith 
253a40ed3dSBarry Smith   PetscFunctionBegin;
26d3cbd50cSLois Curfman McInnes   PetscValidHeaderSpecific(isrow,IS_COOKIE);
27d3cbd50cSLois Curfman McInnes   PetscValidHeaderSpecific(iscol,IS_COOKIE);
28f1af5d2fSBarry Smith   if (A->M != A->N) SETERRQ(PETSC_ERR_ARG_WRONG,0,"matrix must be square");
294da77479SBarry Smith 
304da77479SBarry Smith   if (!isrow) {
314da77479SBarry Smith     ierr = ISCreateStride(PETSC_COMM_SELF,A->M,0,1,&isrow);CHKERRQ(ierr);
324da77479SBarry Smith   }
334da77479SBarry Smith   if (!iscol) {
344da77479SBarry Smith     ierr = ISCreateStride(PETSC_COMM_SELF,A->M,0,1,&iscol);CHKERRQ(ierr);
354da77479SBarry Smith   }
364c49b128SBarry Smith   ierr = ISInvertPermutation(iscol,PETSC_DECIDE,&isicol);CHKERRQ(ierr);
37f1af5d2fSBarry Smith   ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr);
38f1af5d2fSBarry Smith   ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr);
395d517e7eSBarry Smith 
40*b9b97703SBarry Smith   if (info) f = info->fill;
415d517e7eSBarry Smith   /* get new row pointers */
425d517e7eSBarry Smith   ainew = (int*)PetscMalloc((n+1)*sizeof(int));CHKPTRQ(ainew);
43de6a44a3SBarry Smith   ainew[0] = 0;
445d517e7eSBarry Smith   /* don't know how many column pointers are needed so estimate */
45de6a44a3SBarry Smith   jmax = (int)(f*ai[n] + 1);
465d517e7eSBarry Smith   ajnew = (int*)PetscMalloc((jmax)*sizeof(int));CHKPTRQ(ajnew);
475d517e7eSBarry Smith   /* fill is a linked list of nonzeros in active row */
485d517e7eSBarry Smith   fill = (int*)PetscMalloc((2*n+1)*sizeof(int));CHKPTRQ(fill);
495d517e7eSBarry Smith   im = fill + n + 1;
505d517e7eSBarry Smith   /* idnew is location of diagonal in factor */
515d517e7eSBarry Smith   idnew = (int*)PetscMalloc((n+1)*sizeof(int));CHKPTRQ(idnew);
52de6a44a3SBarry Smith   idnew[0] = 0;
535d517e7eSBarry Smith 
545d517e7eSBarry Smith   for (i=0; i<n; i++) {
555d517e7eSBarry Smith     /* first copy previous fill into linked list */
565d517e7eSBarry Smith     nnz     = nz    = ai[r[i]+1] - ai[r[i]];
576b96ef82SSatish Balay     if (!nz) SETERRQ(PETSC_ERR_MAT_LU_ZRPVT,1,"Empty row in matrix");
58de6a44a3SBarry Smith     ajtmp   = aj + ai[r[i]];
595d517e7eSBarry Smith     fill[n] = n;
605d517e7eSBarry Smith     while (nz--) {
615d517e7eSBarry Smith       fm  = n;
62de6a44a3SBarry Smith       idx = ic[*ajtmp++];
635d517e7eSBarry Smith       do {
645d517e7eSBarry Smith         m  = fm;
655d517e7eSBarry Smith         fm = fill[m];
665d517e7eSBarry Smith       } while (fm < idx);
675d517e7eSBarry Smith       fill[m]   = idx;
685d517e7eSBarry Smith       fill[idx] = fm;
695d517e7eSBarry Smith     }
705d517e7eSBarry Smith     row = fill[n];
715d517e7eSBarry Smith     while (row < i) {
72de6a44a3SBarry Smith       ajtmp = ajnew + idnew[row] + 1;
735d517e7eSBarry Smith       nzbd  = 1 + idnew[row] - ainew[row];
745d517e7eSBarry Smith       nz    = im[row] - nzbd;
755d517e7eSBarry Smith       fm    = row;
765d517e7eSBarry Smith       while (nz-- > 0) {
77de6a44a3SBarry Smith         idx = *ajtmp++;
785d517e7eSBarry Smith         nzbd++;
795d517e7eSBarry Smith         if (idx == i) im[row] = nzbd;
805d517e7eSBarry Smith         do {
815d517e7eSBarry Smith           m  = fm;
825d517e7eSBarry Smith           fm = fill[m];
835d517e7eSBarry Smith         } while (fm < idx);
845d517e7eSBarry Smith         if (fm != idx) {
855d517e7eSBarry Smith           fill[m]   = idx;
865d517e7eSBarry Smith           fill[idx] = fm;
875d517e7eSBarry Smith           fm        = idx;
885d517e7eSBarry Smith           nnz++;
895d517e7eSBarry Smith         }
905d517e7eSBarry Smith       }
915d517e7eSBarry Smith       row = fill[row];
925d517e7eSBarry Smith     }
935d517e7eSBarry Smith     /* copy new filled row into permanent storage */
945d517e7eSBarry Smith     ainew[i+1] = ainew[i] + nnz;
954078e994SBarry Smith     if (ainew[i+1] > jmax) {
96ecf371e4SBarry Smith 
97ecf371e4SBarry Smith       /* estimate how much additional space we will need */
98ecf371e4SBarry Smith       /* use the strategy suggested by David Hysom <hysom@perch-t.icase.edu> */
99ecf371e4SBarry Smith       /* just double the memory each time */
100ecf371e4SBarry Smith       int maxadd = jmax;
101ecf371e4SBarry Smith       /* maxadd = (int)((f*(ai[n]+1)*(n-i+5))/n); */
1025d517e7eSBarry Smith       if (maxadd < nnz) maxadd = (n-i)*(nnz+1);
1035d517e7eSBarry Smith       jmax += maxadd;
104ecf371e4SBarry Smith 
105ecf371e4SBarry Smith       /* allocate a longer ajnew */
1065d517e7eSBarry Smith       ajtmp = (int*)PetscMalloc(jmax*sizeof(int));CHKPTRQ(ajtmp);
107549d3d68SSatish Balay       ierr  = PetscMemcpy(ajtmp,ajnew,ainew[i]*sizeof(int));CHKERRQ(ierr);
108606d414cSSatish Balay       ierr = PetscFree(ajnew);CHKERRQ(ierr);
1095d517e7eSBarry Smith       ajnew = ajtmp;
1105d517e7eSBarry Smith       realloc++; /* count how many times we realloc */
1115d517e7eSBarry Smith     }
112de6a44a3SBarry Smith     ajtmp = ajnew + ainew[i];
1135d517e7eSBarry Smith     fm    = fill[n];
1145d517e7eSBarry Smith     nzi   = 0;
1155d517e7eSBarry Smith     im[i] = nnz;
1165d517e7eSBarry Smith     while (nnz--) {
1175d517e7eSBarry Smith       if (fm < i) nzi++;
118de6a44a3SBarry Smith       *ajtmp++ = fm;
1195d517e7eSBarry Smith       fm       = fill[fm];
1205d517e7eSBarry Smith     }
1215d517e7eSBarry Smith     idnew[i] = ainew[i] + nzi;
1225d517e7eSBarry Smith   }
1235d517e7eSBarry Smith 
124fbe2de07SSatish Balay   if (ai[n] != 0) {
125329f5518SBarry Smith     PetscReal af = ((PetscReal)ainew[n])/((PetscReal)ai[n]);
126c38d4ed2SBarry Smith     PLogInfo(A,"MatLUFactorSymbolic_SeqBAIJ:Reallocs %d Fill ratio:given %g needed %g\n",realloc,f,af);
127981c4779SBarry Smith     PLogInfo(A,"MatLUFactorSymbolic_SeqBAIJ:Run with -pc_lu_fill %g or use \n",af);
128981c4779SBarry Smith     PLogInfo(A,"MatLUFactorSymbolic_SeqBAIJ:PCLUSetFill(pc,%g);\n",af);
129981c4779SBarry Smith     PLogInfo(A,"MatLUFactorSymbolic_SeqBAIJ:for best performance.\n");
13070794672SSatish Balay   } else {
131981c4779SBarry Smith      PLogInfo(A,"MatLUFactorSymbolic_SeqBAIJ:Empty matrix.\n");
13270794672SSatish Balay   }
13370794672SSatish Balay 
1345d517e7eSBarry Smith   ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr);
1355d517e7eSBarry Smith   ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr);
1365d517e7eSBarry Smith 
137606d414cSSatish Balay   ierr = PetscFree(fill);CHKERRQ(ierr);
1385d517e7eSBarry Smith 
1395d517e7eSBarry Smith   /* put together the new matrix */
140ec3a8b7bSBarry Smith   ierr = MatCreateSeqBAIJ(A->comm,bs,bs*n,bs*n,0,PETSC_NULL,B);CHKERRQ(ierr);
1415d517e7eSBarry Smith   PLogObjectParent(*B,isicol);
142ec3a8b7bSBarry Smith   b = (Mat_SeqBAIJ*)(*B)->data;
143606d414cSSatish Balay   ierr = PetscFree(b->imax);CHKERRQ(ierr);
1447c922b88SBarry Smith   b->singlemalloc = PETSC_FALSE;
1455d517e7eSBarry Smith   /* the next line frees the default space generated by the Create() */
146606d414cSSatish Balay   ierr = PetscFree(b->a);CHKERRQ(ierr);
147606d414cSSatish Balay   ierr = PetscFree(b->ilen);CHKERRQ(ierr);
1483f1db9ecSBarry Smith   b->a          = (MatScalar*)PetscMalloc((ainew[n]+1)*sizeof(MatScalar)*bs2);CHKPTRQ(b->a);
1495d517e7eSBarry Smith   b->j          = ajnew;
1505d517e7eSBarry Smith   b->i          = ainew;
1515d517e7eSBarry Smith   b->diag       = idnew;
1525d517e7eSBarry Smith   b->ilen       = 0;
1535d517e7eSBarry Smith   b->imax       = 0;
1545d517e7eSBarry Smith   b->row        = isrow;
1555d517e7eSBarry Smith   b->col        = iscol;
156c38d4ed2SBarry Smith   ierr          = PetscObjectReference((PetscObject)isrow);CHKERRQ(ierr);
157c38d4ed2SBarry Smith   ierr          = PetscObjectReference((PetscObject)iscol);CHKERRQ(ierr);
158e51c0b9cSSatish Balay   b->icol       = isicol;
1593a40ed3dSBarry Smith   b->solve_work = (Scalar*)PetscMalloc((bs*n+bs)*sizeof(Scalar));CHKPTRQ(b->solve_work);
1605d517e7eSBarry Smith   /* In b structure:  Free imax, ilen, old a, old j.
1615d517e7eSBarry Smith      Allocate idnew, solve_work, new a, new j */
1623f1db9ecSBarry Smith   PLogObjectMemory(*B,(ainew[n]-n)*(sizeof(int)+sizeof(MatScalar)));
163de6a44a3SBarry Smith   b->maxnz = b->nz = ainew[n];
1645d517e7eSBarry Smith 
165e93ccc4dSBarry Smith   (*B)->factor                 = FACTOR_LU;
166ae068f58SLois Curfman McInnes   (*B)->info.factor_mallocs    = realloc;
167ae068f58SLois Curfman McInnes   (*B)->info.fill_ratio_given  = f;
168e93ccc4dSBarry Smith   if (ai[n] != 0) {
169329f5518SBarry Smith     (*B)->info.fill_ratio_needed = ((PetscReal)ainew[n])/((PetscReal)ai[n]);
170966b9fa7SBarry Smith   } else {
171966b9fa7SBarry Smith     (*B)->info.fill_ratio_needed = 0.0;
172966b9fa7SBarry Smith   }
173966b9fa7SBarry Smith 
174ae068f58SLois Curfman McInnes 
1753a40ed3dSBarry Smith   PetscFunctionReturn(0);
1765d517e7eSBarry Smith }
1775d517e7eSBarry Smith 
178ec3a8b7bSBarry Smith /* ----------------------------------------------------------- */
1795615d1e5SSatish Balay #undef __FUNC__
180*b9b97703SBarry Smith #define __FUNC__ /*<a name="MatLUFactorNumeric_SeqBAIJ_N"></a>*/"MatLUFactorNumeric_SeqBAIJ_N"
1817fc0212eSBarry Smith int MatLUFactorNumeric_SeqBAIJ_N(Mat A,Mat *B)
1825d517e7eSBarry Smith {
1835d517e7eSBarry Smith   Mat                C = *B;
184ec3a8b7bSBarry Smith   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data;
18508b7f112SBarry Smith   IS                 isrow = b->row,isicol = b->icol;
1864078e994SBarry Smith   int                *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j;
18748e9ddb2SSatish Balay   int                *ajtmpold,*ajtmp,nz,row,bslog,*ai=a->i,*aj=a->j,k,flg;
188329f5518SBarry Smith   int                *diag_offset=b->diag,diag,bs=a->bs,bs2 = a->bs2,*v_pivots,*pj;
189329f5518SBarry Smith   MatScalar          *ba = b->a,*aa = a->a,*pv,*v,*rtmp,*multiplier,*v_work,*pc,*w;
1905d517e7eSBarry Smith 
1913a40ed3dSBarry Smith   PetscFunctionBegin;
1925d517e7eSBarry Smith   ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr);
1935d517e7eSBarry Smith   ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr);
1943f1db9ecSBarry Smith   rtmp = (MatScalar*)PetscMalloc(bs2*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp);
195549d3d68SSatish Balay   ierr = PetscMemzero(rtmp,bs2*(n+1)*sizeof(MatScalar));CHKERRQ(ierr);
196ec3a8b7bSBarry Smith   /* generate work space needed by dense LU factorization */
1973f1db9ecSBarry Smith   v_work     = (MatScalar*)PetscMalloc(bs*sizeof(int) + (bs+bs2)*sizeof(MatScalar));CHKPTRQ(v_work);
1986d84be18SBarry Smith   multiplier = v_work + bs;
199de6a44a3SBarry Smith   v_pivots   = (int*)(multiplier + bs2);
200de6a44a3SBarry Smith 
201de6a44a3SBarry Smith   /* flops in while loop */
2024eeb42bcSBarry Smith   bslog = 2*bs*bs2;
2035d517e7eSBarry Smith 
2045d517e7eSBarry Smith   for (i=0; i<n; i++) {
2054078e994SBarry Smith     nz    = bi[i+1] - bi[i];
2064078e994SBarry Smith     ajtmp = bj + bi[i];
2074eeb42bcSBarry Smith     for  (j=0; j<nz; j++) {
208549d3d68SSatish Balay       ierr = PetscMemzero(rtmp+bs2*ajtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr);
2094eeb42bcSBarry Smith     }
2105d517e7eSBarry Smith     /* load in initial (unfactored row) */
2114078e994SBarry Smith     nz       = ai[r[i]+1] - ai[r[i]];
2124078e994SBarry Smith     ajtmpold = aj + ai[r[i]];
2134078e994SBarry Smith     v        = aa + bs2*ai[r[i]];
2144eeb42bcSBarry Smith     for (j=0; j<nz; j++) {
215549d3d68SSatish Balay       ierr = PetscMemcpy(rtmp+bs2*ic[ajtmpold[j]],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr);
2164eeb42bcSBarry Smith     }
217de6a44a3SBarry Smith     row = *ajtmp++;
2185d517e7eSBarry Smith     while (row < i) {
219de6a44a3SBarry Smith       pc = rtmp + bs2*row;
220de6a44a3SBarry Smith /*      if (*pc) { */
221974088aaSSatish Balay       for (flg=0,k=0; k<bs2; k++) { if (pc[k]!=0.0) { flg =1; break; }}
22248e9ddb2SSatish Balay       if (flg) {
2234078e994SBarry Smith         pv = ba + bs2*diag_offset[row];
2244078e994SBarry Smith         pj = bj + diag_offset[row] + 1;
2254078e994SBarry Smith         Kernel_A_gets_A_times_B(bs,pc,pv,multiplier);
2264078e994SBarry Smith         nz = bi[row+1] - diag_offset[row] - 1;
227ec3a8b7bSBarry Smith         pv += bs2;
2284eeb42bcSBarry Smith         for (j=0; j<nz; j++) {
2294078e994SBarry Smith           Kernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j);
2304eeb42bcSBarry Smith         }
2314eeb42bcSBarry Smith         PLogFlops(bslog*(nz+1)-bs);
23248e9ddb2SSatish Balay       }
233de6a44a3SBarry Smith         row = *ajtmp++;
2345d517e7eSBarry Smith     }
2355d517e7eSBarry Smith     /* finished row so stick it into b->a */
2364078e994SBarry Smith     pv = ba + bs2*bi[i];
2374078e994SBarry Smith     pj = bj + bi[i];
2384078e994SBarry Smith     nz = bi[i+1] - bi[i];
2394eeb42bcSBarry Smith     for (j=0; j<nz; j++) {
240549d3d68SSatish Balay       ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr);
2414eeb42bcSBarry Smith     }
2424078e994SBarry Smith     diag = diag_offset[i] - bi[i];
243ec3a8b7bSBarry Smith     /* invert diagonal block */
2444eeb42bcSBarry Smith     w = pv + bs2*diag;
2454078e994SBarry Smith     Kernel_A_gets_inverse_A(bs,w,v_pivots,v_work);
2465d517e7eSBarry Smith   }
2475d517e7eSBarry Smith 
248606d414cSSatish Balay   ierr = PetscFree(rtmp);CHKERRQ(ierr);
249606d414cSSatish Balay   ierr = PetscFree(v_work);CHKERRQ(ierr);
2505d517e7eSBarry Smith   ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr);
2515d517e7eSBarry Smith   ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr);
2525d517e7eSBarry Smith   C->factor = FACTOR_LU;
2535d517e7eSBarry Smith   C->assembled = PETSC_TRUE;
254de6a44a3SBarry Smith   PLogFlops(1.3333*bs*bs2*b->mbs); /* from inverting diagonal blocks */
2553a40ed3dSBarry Smith   PetscFunctionReturn(0);
2565d517e7eSBarry Smith }
2574eeb42bcSBarry Smith /* ------------------------------------------------------------*/
2584eeb42bcSBarry Smith /*
2594cd38560SBarry Smith       Version for when blocks are 7 by 7
2604cd38560SBarry Smith */
2614cd38560SBarry Smith #undef __FUNC__
262*b9b97703SBarry Smith #define __FUNC__ /*<a name="MatLUFactorNumeric_SeqBAIJ_7"></a>*/"MatLUFactorNumeric_SeqBAIJ_7"
2634cd38560SBarry Smith int MatLUFactorNumeric_SeqBAIJ_7(Mat A,Mat *B)
2644cd38560SBarry Smith {
2654cd38560SBarry Smith   Mat         C = *B;
2664cd38560SBarry Smith   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data;
2674cd38560SBarry Smith   IS          isrow = b->row,isicol = b->icol;
2684cd38560SBarry Smith   int         *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j;
2694cd38560SBarry Smith   int         *ajtmpold,*ajtmp,nz,row;
270329f5518SBarry Smith   int         *diag_offset = b->diag,idx,*ai=a->i,*aj=a->j,*pj;
271329f5518SBarry Smith   MatScalar   *pv,*v,*rtmp,*pc,*w,*x;
2724cd38560SBarry Smith   MatScalar   p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4;
2734cd38560SBarry Smith   MatScalar   p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16;
2744cd38560SBarry Smith   MatScalar   x17,x18,x19,x20,x21,x22,x23,x24,x25,p10,p11,p12,p13,p14;
2754cd38560SBarry Smith   MatScalar   p15,p16,p17,p18,p19,p20,p21,p22,p23,p24,p25,m10,m11,m12;
2764cd38560SBarry Smith   MatScalar   m13,m14,m15,m16,m17,m18,m19,m20,m21,m22,m23,m24,m25;
2774cd38560SBarry Smith   MatScalar   p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36;
2784cd38560SBarry Smith   MatScalar   p37,p38,p39,p40,p41,p42,p43,p44,p45,p46,p47,p48,p49;
2794cd38560SBarry Smith   MatScalar   x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36;
2804cd38560SBarry Smith   MatScalar   x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49;
2814cd38560SBarry Smith   MatScalar   m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36;
2824cd38560SBarry Smith   MatScalar   m37,m38,m39,m40,m41,m42,m43,m44,m45,m46,m47,m48,m49;
2834cd38560SBarry Smith   MatScalar   *ba = b->a,*aa = a->a;
2844cd38560SBarry Smith 
2854cd38560SBarry Smith   PetscFunctionBegin;
2864cd38560SBarry Smith   ierr  = ISGetIndices(isrow,&r);CHKERRQ(ierr);
2874cd38560SBarry Smith   ierr  = ISGetIndices(isicol,&ic);CHKERRQ(ierr);
2884cd38560SBarry Smith   rtmp  = (MatScalar*)PetscMalloc(49*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp);
2894cd38560SBarry Smith 
2904cd38560SBarry Smith   for (i=0; i<n; i++) {
2914cd38560SBarry Smith     nz    = bi[i+1] - bi[i];
2924cd38560SBarry Smith     ajtmp = bj + bi[i];
2934cd38560SBarry Smith     for  (j=0; j<nz; j++) {
2944cd38560SBarry Smith       x = rtmp+49*ajtmp[j];
2954cd38560SBarry Smith       x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0;
2964cd38560SBarry Smith       x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0;
2974cd38560SBarry Smith       x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0 ;
2984cd38560SBarry Smith       x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0 ;
2994cd38560SBarry Smith       x[34] = x[35] = x[36] = x[37] = x[38] = x[39] = x[40] = x[41] = 0.0 ;
30015091d37SBarry Smith       x[42] = x[43] = x[44] = x[45] = x[46] = x[47] = x[48] = 0.0 ;
3014cd38560SBarry Smith     }
3024cd38560SBarry Smith     /* load in initial (unfactored row) */
3034cd38560SBarry Smith     idx      = r[i];
3044cd38560SBarry Smith     nz       = ai[idx+1] - ai[idx];
3054cd38560SBarry Smith     ajtmpold = aj + ai[idx];
3064cd38560SBarry Smith     v        = aa + 49*ai[idx];
3074cd38560SBarry Smith     for (j=0; j<nz; j++) {
3084cd38560SBarry Smith       x    = rtmp+49*ic[ajtmpold[j]];
3094cd38560SBarry Smith       x[0] =  v[0];  x[1] =  v[1];  x[2] =  v[2];  x[3] =  v[3];
3104cd38560SBarry Smith       x[4] =  v[4];  x[5] =  v[5];  x[6] =  v[6];  x[7] =  v[7];
3114cd38560SBarry Smith       x[8] =  v[8];  x[9] =  v[9];  x[10] = v[10]; x[11] = v[11];
3124cd38560SBarry Smith       x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15];
3134cd38560SBarry Smith       x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19];
3144cd38560SBarry Smith       x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23];
3154cd38560SBarry Smith       x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27];
3164cd38560SBarry Smith       x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31];
3174cd38560SBarry Smith       x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35];
3184cd38560SBarry Smith       x[36] = v[36]; x[37] = v[37]; x[38] = v[38]; x[39] = v[39];
3194cd38560SBarry Smith       x[40] = v[40]; x[41] = v[41]; x[42] = v[42]; x[43] = v[43];
3204cd38560SBarry Smith       x[44] = v[44]; x[45] = v[45]; x[46] = v[46]; x[47] = v[47];
3214cd38560SBarry Smith       x[48] = v[48];
3224cd38560SBarry Smith       v    += 49;
3234cd38560SBarry Smith     }
3244cd38560SBarry Smith     row = *ajtmp++;
3254cd38560SBarry Smith     while (row < i) {
3264cd38560SBarry Smith       pc  =  rtmp + 49*row;
3274cd38560SBarry Smith       p1  = pc[0];  p2  = pc[1];  p3  = pc[2];  p4  = pc[3];
3284cd38560SBarry Smith       p5  = pc[4];  p6  = pc[5];  p7  = pc[6];  p8  = pc[7];
3294cd38560SBarry Smith       p9  = pc[8];  p10 = pc[9];  p11 = pc[10]; p12 = pc[11];
3304cd38560SBarry Smith       p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15];
3314cd38560SBarry Smith       p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19];
3324cd38560SBarry Smith       p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23];
3334cd38560SBarry Smith       p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27];
3344cd38560SBarry Smith       p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31];
3354cd38560SBarry Smith       p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35];
3364cd38560SBarry Smith       p37 = pc[36]; p38 = pc[37]; p39 = pc[38]; p40 = pc[39];
3374cd38560SBarry Smith       p41 = pc[40]; p42 = pc[41]; p43 = pc[42]; p44 = pc[43];
3384cd38560SBarry Smith       p45 = pc[44]; p46 = pc[45]; p47 = pc[46]; p48 = pc[47];
3394cd38560SBarry Smith       p49 = pc[48];
3404cd38560SBarry Smith       if (p1  != 0.0 || p2  != 0.0 || p3  != 0.0 || p4  != 0.0 ||
3414cd38560SBarry Smith           p5  != 0.0 || p6  != 0.0 || p7  != 0.0 || p8  != 0.0 ||
3424cd38560SBarry Smith           p9  != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 ||
3434cd38560SBarry Smith           p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 ||
3444cd38560SBarry Smith           p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 ||
3454cd38560SBarry Smith           p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 ||
3464cd38560SBarry Smith           p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 ||
3474cd38560SBarry Smith           p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 ||
3484cd38560SBarry Smith           p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0 ||
3494cd38560SBarry Smith           p37 != 0.0 || p38 != 0.0 || p39 != 0.0 || p40 != 0.0 ||
3504cd38560SBarry Smith           p41 != 0.0 || p42 != 0.0 || p43 != 0.0 || p44 != 0.0 ||
3514cd38560SBarry Smith           p45 != 0.0 || p46 != 0.0 || p47 != 0.0 || p48 != 0.0 ||
3524cd38560SBarry Smith           p49 != 0.0) {
3534cd38560SBarry Smith         pv = ba + 49*diag_offset[row];
3544cd38560SBarry Smith         pj = bj + diag_offset[row] + 1;
3554cd38560SBarry Smith 	x1  = pv[0];  x2  = pv[1];  x3  = pv[2];  x4  = pv[3];
3564cd38560SBarry Smith 	x5  = pv[4];  x6  = pv[5];  x7  = pv[6];  x8  = pv[7];
3574cd38560SBarry Smith 	x9  = pv[8];  x10 = pv[9];  x11 = pv[10]; x12 = pv[11];
3584cd38560SBarry Smith 	x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15];
3594cd38560SBarry Smith 	x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19];
3604cd38560SBarry Smith 	x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23];
3614cd38560SBarry Smith 	x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27];
3624cd38560SBarry Smith 	x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31];
3634cd38560SBarry Smith 	x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35];
3644cd38560SBarry Smith 	x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39];
3654cd38560SBarry Smith 	x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43];
3664cd38560SBarry Smith 	x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47];
3674cd38560SBarry Smith 	x49 = pv[48];
3684cd38560SBarry Smith         pc[0]  = m1  = p1*x1  + p8*x2   + p15*x3  + p22*x4  + p29*x5  + p36*x6 + p43*x7;
3694cd38560SBarry Smith         pc[1]  = m2  = p2*x1  + p9*x2   + p16*x3  + p23*x4  + p30*x5  + p37*x6 + p44*x7;
3704cd38560SBarry Smith         pc[2]  = m3  = p3*x1  + p10*x2  + p17*x3  + p24*x4  + p31*x5  + p38*x6 + p45*x7;
3714cd38560SBarry Smith         pc[3]  = m4  = p4*x1  + p11*x2  + p18*x3  + p25*x4  + p32*x5  + p39*x6 + p46*x7;
3724cd38560SBarry Smith         pc[4]  = m5  = p5*x1  + p12*x2  + p19*x3  + p26*x4  + p33*x5  + p40*x6 + p47*x7;
3734cd38560SBarry Smith         pc[5]  = m6  = p6*x1  + p13*x2  + p20*x3  + p27*x4  + p34*x5  + p41*x6 + p48*x7;
3744cd38560SBarry Smith         pc[6]  = m7  = p7*x1  + p14*x2  + p21*x3  + p28*x4  + p35*x5  + p42*x6 + p49*x7;
3754cd38560SBarry Smith 
3764cd38560SBarry Smith         pc[7]  = m8  = p1*x8  + p8*x9   + p15*x10 + p22*x11 + p29*x12 + p36*x13 + p43*x14;
3774cd38560SBarry Smith         pc[8]  = m9  = p2*x8  + p9*x9   + p16*x10 + p23*x11 + p30*x12 + p37*x13 + p44*x14;
3784cd38560SBarry Smith         pc[9]  = m10 = p3*x8  + p10*x9  + p17*x10 + p24*x11 + p31*x12 + p38*x13 + p45*x14;
3794cd38560SBarry Smith         pc[10] = m11 = p4*x8  + p11*x9  + p18*x10 + p25*x11 + p32*x12 + p39*x13 + p46*x14;
3804cd38560SBarry Smith         pc[11] = m12 = p5*x8  + p12*x9  + p19*x10 + p26*x11 + p33*x12 + p40*x13 + p47*x14;
3814cd38560SBarry Smith         pc[12] = m13 = p6*x8  + p13*x9  + p20*x10 + p27*x11 + p34*x12 + p41*x13 + p48*x14;
3824cd38560SBarry Smith         pc[13] = m14 = p7*x8  + p14*x9  + p21*x10 + p28*x11 + p35*x12 + p42*x13 + p49*x14;
3834cd38560SBarry Smith 
3844cd38560SBarry Smith         pc[14] = m15 = p1*x15 + p8*x16  + p15*x17 + p22*x18 + p29*x19 + p36*x20 + p43*x21;
3854cd38560SBarry Smith         pc[15] = m16 = p2*x15 + p9*x16  + p16*x17 + p23*x18 + p30*x19 + p37*x20 + p44*x21;
3864cd38560SBarry Smith         pc[16] = m17 = p3*x15 + p10*x16 + p17*x17 + p24*x18 + p31*x19 + p38*x20 + p45*x21;
3874cd38560SBarry Smith         pc[17] = m18 = p4*x15 + p11*x16 + p18*x17 + p25*x18 + p32*x19 + p39*x20 + p46*x21;
3884cd38560SBarry Smith         pc[18] = m19 = p5*x15 + p12*x16 + p19*x17 + p26*x18 + p33*x19 + p40*x20 + p47*x21;
3894cd38560SBarry Smith         pc[19] = m20 = p6*x15 + p13*x16 + p20*x17 + p27*x18 + p34*x19 + p41*x20 + p48*x21;
3904cd38560SBarry Smith         pc[20] = m21 = p7*x15 + p14*x16 + p21*x17 + p28*x18 + p35*x19 + p42*x20 + p49*x21;
3914cd38560SBarry Smith 
3924cd38560SBarry Smith         pc[21] = m22 = p1*x22 + p8*x23  + p15*x24 + p22*x25 + p29*x26 + p36*x27 + p43*x28;
3934cd38560SBarry Smith         pc[22] = m23 = p2*x22 + p9*x23  + p16*x24 + p23*x25 + p30*x26 + p37*x27 + p44*x28;
3944cd38560SBarry Smith         pc[23] = m24 = p3*x22 + p10*x23 + p17*x24 + p24*x25 + p31*x26 + p38*x27 + p45*x28;
3954cd38560SBarry Smith         pc[24] = m25 = p4*x22 + p11*x23 + p18*x24 + p25*x25 + p32*x26 + p39*x27 + p46*x28;
3964cd38560SBarry Smith         pc[25] = m26 = p5*x22 + p12*x23 + p19*x24 + p26*x25 + p33*x26 + p40*x27 + p47*x28;
3974cd38560SBarry Smith         pc[26] = m27 = p6*x22 + p13*x23 + p20*x24 + p27*x25 + p34*x26 + p41*x27 + p48*x28;
3984cd38560SBarry Smith         pc[27] = m28 = p7*x22 + p14*x23 + p21*x24 + p28*x25 + p35*x26 + p42*x27 + p49*x28;
3994cd38560SBarry Smith 
4004cd38560SBarry Smith         pc[28] = m29 = p1*x29 + p8*x30  + p15*x31 + p22*x32 + p29*x33 + p36*x34 + p43*x35;
4014cd38560SBarry Smith         pc[29] = m30 = p2*x29 + p9*x30  + p16*x31 + p23*x32 + p30*x33 + p37*x34 + p44*x35;
4024cd38560SBarry Smith         pc[30] = m31 = p3*x29 + p10*x30 + p17*x31 + p24*x32 + p31*x33 + p38*x34 + p45*x35;
4034cd38560SBarry Smith         pc[31] = m32 = p4*x29 + p11*x30 + p18*x31 + p25*x32 + p32*x33 + p39*x34 + p46*x35;
4044cd38560SBarry Smith         pc[32] = m33 = p5*x29 + p12*x30 + p19*x31 + p26*x32 + p33*x33 + p40*x34 + p47*x35;
4054cd38560SBarry Smith         pc[33] = m34 = p6*x29 + p13*x30 + p20*x31 + p27*x32 + p34*x33 + p41*x34 + p48*x35;
4064cd38560SBarry Smith         pc[34] = m35 = p7*x29 + p14*x30 + p21*x31 + p28*x32 + p35*x33 + p42*x34 + p49*x35;
4074cd38560SBarry Smith 
4084cd38560SBarry Smith         pc[35] = m36 = p1*x36 + p8*x37  + p15*x38 + p22*x39 + p29*x40 + p36*x41 + p43*x42;
4094cd38560SBarry Smith         pc[36] = m37 = p2*x36 + p9*x37  + p16*x38 + p23*x39 + p30*x40 + p37*x41 + p44*x42;
4104cd38560SBarry Smith         pc[37] = m38 = p3*x36 + p10*x37 + p17*x38 + p24*x39 + p31*x40 + p38*x41 + p45*x42;
4114cd38560SBarry Smith         pc[38] = m39 = p4*x36 + p11*x37 + p18*x38 + p25*x39 + p32*x40 + p39*x41 + p46*x42;
4124cd38560SBarry Smith         pc[39] = m40 = p5*x36 + p12*x37 + p19*x38 + p26*x39 + p33*x40 + p40*x41 + p47*x42;
4134cd38560SBarry Smith         pc[40] = m41 = p6*x36 + p13*x37 + p20*x38 + p27*x39 + p34*x40 + p41*x41 + p48*x42;
4144cd38560SBarry Smith         pc[41] = m42 = p7*x36 + p14*x37 + p21*x38 + p28*x39 + p35*x40 + p42*x41 + p49*x42;
4154cd38560SBarry Smith 
4164cd38560SBarry Smith         pc[42] = m43 = p1*x43 + p8*x44  + p15*x45 + p22*x46 + p29*x47 + p36*x48 + p43*x49;
4174cd38560SBarry Smith         pc[43] = m44 = p2*x43 + p9*x44  + p16*x45 + p23*x46 + p30*x47 + p37*x48 + p44*x49;
4184cd38560SBarry Smith         pc[44] = m45 = p3*x43 + p10*x44 + p17*x45 + p24*x46 + p31*x47 + p38*x48 + p45*x49;
4194cd38560SBarry Smith         pc[45] = m46 = p4*x43 + p11*x44 + p18*x45 + p25*x46 + p32*x47 + p39*x48 + p46*x49;
4204cd38560SBarry Smith         pc[46] = m47 = p5*x43 + p12*x44 + p19*x45 + p26*x46 + p33*x47 + p40*x48 + p47*x49;
4214cd38560SBarry Smith         pc[47] = m48 = p6*x43 + p13*x44 + p20*x45 + p27*x46 + p34*x47 + p41*x48 + p48*x49;
4224cd38560SBarry Smith         pc[48] = m49 = p7*x43 + p14*x44 + p21*x45 + p28*x46 + p35*x47 + p42*x48 + p49*x49;
4234cd38560SBarry Smith 
4244cd38560SBarry Smith         nz = bi[row+1] - diag_offset[row] - 1;
4254cd38560SBarry Smith         pv += 49;
4264cd38560SBarry Smith         for (j=0; j<nz; j++) {
4274cd38560SBarry Smith 	  x1  = pv[0];  x2  = pv[1];  x3  = pv[2];  x4  = pv[3];
4284cd38560SBarry Smith 	  x5  = pv[4];  x6  = pv[5];  x7  = pv[6];  x8  = pv[7];
4294cd38560SBarry Smith 	  x9  = pv[8];  x10 = pv[9];  x11 = pv[10]; x12 = pv[11];
4304cd38560SBarry Smith 	  x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15];
4314cd38560SBarry Smith 	  x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19];
4324cd38560SBarry Smith 	  x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23];
4334cd38560SBarry Smith 	  x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27];
4344cd38560SBarry Smith 	  x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31];
4354cd38560SBarry Smith 	  x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35];
4364cd38560SBarry Smith 	  x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39];
4374cd38560SBarry Smith 	  x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43];
4384cd38560SBarry Smith 	  x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47];
4394cd38560SBarry Smith 	  x49 = pv[48];
4404cd38560SBarry Smith 	  x    = rtmp + 49*pj[j];
4414cd38560SBarry Smith 	  x[0]  -= m1*x1  + m8*x2   + m15*x3  + m22*x4  + m29*x5  + m36*x6 + m43*x7;
4424cd38560SBarry Smith 	  x[1]  -= m2*x1  + m9*x2   + m16*x3  + m23*x4  + m30*x5  + m37*x6 + m44*x7;
4434cd38560SBarry Smith 	  x[2]  -= m3*x1  + m10*x2  + m17*x3  + m24*x4  + m31*x5  + m38*x6 + m45*x7;
4444cd38560SBarry Smith 	  x[3]  -= m4*x1  + m11*x2  + m18*x3  + m25*x4  + m32*x5  + m39*x6 + m46*x7;
4454cd38560SBarry Smith 	  x[4]  -= m5*x1  + m12*x2  + m19*x3  + m26*x4  + m33*x5  + m40*x6 + m47*x7;
4464cd38560SBarry Smith 	  x[5]  -= m6*x1  + m13*x2  + m20*x3  + m27*x4  + m34*x5  + m41*x6 + m48*x7;
4474cd38560SBarry Smith 	  x[6]  -= m7*x1  + m14*x2  + m21*x3  + m28*x4  + m35*x5  + m42*x6 + m49*x7;
4484cd38560SBarry Smith 
4494cd38560SBarry Smith 	  x[7]  -= m1*x8  + m8*x9   + m15*x10 + m22*x11 + m29*x12 + m36*x13 + m43*x14;
4504cd38560SBarry Smith 	  x[8]  -= m2*x8  + m9*x9   + m16*x10 + m23*x11 + m30*x12 + m37*x13 + m44*x14;
4514cd38560SBarry Smith 	  x[9]  -= m3*x8  + m10*x9  + m17*x10 + m24*x11 + m31*x12 + m38*x13 + m45*x14;
4524cd38560SBarry Smith 	  x[10] -= m4*x8  + m11*x9  + m18*x10 + m25*x11 + m32*x12 + m39*x13 + m46*x14;
4534cd38560SBarry Smith 	  x[11] -= m5*x8  + m12*x9  + m19*x10 + m26*x11 + m33*x12 + m40*x13 + m47*x14;
4544cd38560SBarry Smith 	  x[12] -= m6*x8  + m13*x9  + m20*x10 + m27*x11 + m34*x12 + m41*x13 + m48*x14;
4554cd38560SBarry Smith 	  x[13] -= m7*x8  + m14*x9  + m21*x10 + m28*x11 + m35*x12 + m42*x13 + m49*x14;
4564cd38560SBarry Smith 
4574cd38560SBarry Smith 	  x[14] -= m1*x15 + m8*x16  + m15*x17 + m22*x18 + m29*x19 + m36*x20 + m43*x21;
4584cd38560SBarry Smith 	  x[15] -= m2*x15 + m9*x16  + m16*x17 + m23*x18 + m30*x19 + m37*x20 + m44*x21;
4594cd38560SBarry Smith 	  x[16] -= m3*x15 + m10*x16 + m17*x17 + m24*x18 + m31*x19 + m38*x20 + m45*x21;
4604cd38560SBarry Smith 	  x[17] -= m4*x15 + m11*x16 + m18*x17 + m25*x18 + m32*x19 + m39*x20 + m46*x21;
4614cd38560SBarry Smith 	  x[18] -= m5*x15 + m12*x16 + m19*x17 + m26*x18 + m33*x19 + m40*x20 + m47*x21;
4624cd38560SBarry Smith 	  x[19] -= m6*x15 + m13*x16 + m20*x17 + m27*x18 + m34*x19 + m41*x20 + m48*x21;
4634cd38560SBarry Smith 	  x[20] -= m7*x15 + m14*x16 + m21*x17 + m28*x18 + m35*x19 + m42*x20 + m49*x21;
4644cd38560SBarry Smith 
4654cd38560SBarry Smith 	  x[21] -= m1*x22 + m8*x23  + m15*x24 + m22*x25 + m29*x26 + m36*x27 + m43*x28;
4664cd38560SBarry Smith 	  x[22] -= m2*x22 + m9*x23  + m16*x24 + m23*x25 + m30*x26 + m37*x27 + m44*x28;
4674cd38560SBarry Smith 	  x[23] -= m3*x22 + m10*x23 + m17*x24 + m24*x25 + m31*x26 + m38*x27 + m45*x28;
4684cd38560SBarry Smith 	  x[24] -= m4*x22 + m11*x23 + m18*x24 + m25*x25 + m32*x26 + m39*x27 + m46*x28;
4694cd38560SBarry Smith 	  x[25] -= m5*x22 + m12*x23 + m19*x24 + m26*x25 + m33*x26 + m40*x27 + m47*x28;
4704cd38560SBarry Smith 	  x[26] -= m6*x22 + m13*x23 + m20*x24 + m27*x25 + m34*x26 + m41*x27 + m48*x28;
4714cd38560SBarry Smith 	  x[27] -= m7*x22 + m14*x23 + m21*x24 + m28*x25 + m35*x26 + m42*x27 + m49*x28;
4724cd38560SBarry Smith 
4734cd38560SBarry Smith 	  x[28] -= m1*x29 + m8*x30  + m15*x31 + m22*x32 + m29*x33 + m36*x34 + m43*x35;
4744cd38560SBarry Smith 	  x[29] -= m2*x29 + m9*x30  + m16*x31 + m23*x32 + m30*x33 + m37*x34 + m44*x35;
4754cd38560SBarry Smith 	  x[30] -= m3*x29 + m10*x30 + m17*x31 + m24*x32 + m31*x33 + m38*x34 + m45*x35;
4764cd38560SBarry Smith 	  x[31] -= m4*x29 + m11*x30 + m18*x31 + m25*x32 + m32*x33 + m39*x34 + m46*x35;
4774cd38560SBarry Smith 	  x[32] -= m5*x29 + m12*x30 + m19*x31 + m26*x32 + m33*x33 + m40*x34 + m47*x35;
4784cd38560SBarry Smith 	  x[33] -= m6*x29 + m13*x30 + m20*x31 + m27*x32 + m34*x33 + m41*x34 + m48*x35;
4794cd38560SBarry Smith 	  x[34] -= m7*x29 + m14*x30 + m21*x31 + m28*x32 + m35*x33 + m42*x34 + m49*x35;
4804cd38560SBarry Smith 
4814cd38560SBarry Smith 	  x[35] -= m1*x36 + m8*x37  + m15*x38 + m22*x39 + m29*x40 + m36*x41 + m43*x42;
4824cd38560SBarry Smith 	  x[36] -= m2*x36 + m9*x37  + m16*x38 + m23*x39 + m30*x40 + m37*x41 + m44*x42;
4834cd38560SBarry Smith 	  x[37] -= m3*x36 + m10*x37 + m17*x38 + m24*x39 + m31*x40 + m38*x41 + m45*x42;
4844cd38560SBarry Smith 	  x[38] -= m4*x36 + m11*x37 + m18*x38 + m25*x39 + m32*x40 + m39*x41 + m46*x42;
4854cd38560SBarry Smith 	  x[39] -= m5*x36 + m12*x37 + m19*x38 + m26*x39 + m33*x40 + m40*x41 + m47*x42;
4864cd38560SBarry Smith 	  x[40] -= m6*x36 + m13*x37 + m20*x38 + m27*x39 + m34*x40 + m41*x41 + m48*x42;
4874cd38560SBarry Smith 	  x[41] -= m7*x36 + m14*x37 + m21*x38 + m28*x39 + m35*x40 + m42*x41 + m49*x42;
4884cd38560SBarry Smith 
4894cd38560SBarry Smith 	  x[42] -= m1*x43 + m8*x44  + m15*x45 + m22*x46 + m29*x47 + m36*x48 + m43*x49;
4904cd38560SBarry Smith 	  x[43] -= m2*x43 + m9*x44  + m16*x45 + m23*x46 + m30*x47 + m37*x48 + m44*x49;
4914cd38560SBarry Smith 	  x[44] -= m3*x43 + m10*x44 + m17*x45 + m24*x46 + m31*x47 + m38*x48 + m45*x49;
4924cd38560SBarry Smith 	  x[45] -= m4*x43 + m11*x44 + m18*x45 + m25*x46 + m32*x47 + m39*x48 + m46*x49;
4934cd38560SBarry Smith 	  x[46] -= m5*x43 + m12*x44 + m19*x45 + m26*x46 + m33*x47 + m40*x48 + m47*x49;
4944cd38560SBarry Smith 	  x[47] -= m6*x43 + m13*x44 + m20*x45 + m27*x46 + m34*x47 + m41*x48 + m48*x49;
4954cd38560SBarry Smith 	  x[48] -= m7*x43 + m14*x44 + m21*x45 + m28*x46 + m35*x47 + m42*x48 + m49*x49;
4964cd38560SBarry Smith           pv   += 49;
4974cd38560SBarry Smith         }
4984cd38560SBarry Smith         PLogFlops(686*nz+637);
4994cd38560SBarry Smith       }
5004cd38560SBarry Smith       row = *ajtmp++;
5014cd38560SBarry Smith     }
5024cd38560SBarry Smith     /* finished row so stick it into b->a */
5034cd38560SBarry Smith     pv = ba + 49*bi[i];
5044cd38560SBarry Smith     pj = bj + bi[i];
5054cd38560SBarry Smith     nz = bi[i+1] - bi[i];
5064cd38560SBarry Smith     for (j=0; j<nz; j++) {
5074cd38560SBarry Smith       x      = rtmp+49*pj[j];
5084cd38560SBarry Smith       pv[0]  = x[0];  pv[1]  = x[1];  pv[2]  = x[2];  pv[3]  = x[3];
5094cd38560SBarry Smith       pv[4]  = x[4];  pv[5]  = x[5];  pv[6]  = x[6];  pv[7]  = x[7];
5104cd38560SBarry Smith       pv[8]  = x[8];  pv[9]  = x[9];  pv[10] = x[10]; pv[11] = x[11];
5114cd38560SBarry Smith       pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15];
5124cd38560SBarry Smith       pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19];
5134cd38560SBarry Smith       pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23];
5144cd38560SBarry Smith       pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27];
5154cd38560SBarry Smith       pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31];
5164cd38560SBarry Smith       pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35];
5174cd38560SBarry Smith       pv[36] = x[36]; pv[37] = x[37]; pv[38] = x[38]; pv[39] = x[39];
5184cd38560SBarry Smith       pv[40] = x[40]; pv[41] = x[41]; pv[42] = x[42]; pv[43] = x[43];
5194cd38560SBarry Smith       pv[44] = x[44]; pv[45] = x[45]; pv[46] = x[46]; pv[47] = x[47];
52015091d37SBarry Smith       pv[48] = x[48];
5214cd38560SBarry Smith       pv   += 49;
5224cd38560SBarry Smith     }
5234cd38560SBarry Smith     /* invert diagonal block */
5244cd38560SBarry Smith     w = ba + 49*diag_offset[i];
5254cd38560SBarry Smith     ierr = Kernel_A_gets_inverse_A_7(w);CHKERRQ(ierr);
5264cd38560SBarry Smith   }
5274cd38560SBarry Smith 
528606d414cSSatish Balay   ierr = PetscFree(rtmp);CHKERRQ(ierr);
5294cd38560SBarry Smith   ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr);
5304cd38560SBarry Smith   ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr);
5314cd38560SBarry Smith   C->factor = FACTOR_LU;
5324cd38560SBarry Smith   C->assembled = PETSC_TRUE;
5334cd38560SBarry Smith   PLogFlops(1.3333*343*b->mbs); /* from inverting diagonal blocks */
5344cd38560SBarry Smith   PetscFunctionReturn(0);
5354cd38560SBarry Smith }
53615091d37SBarry Smith 
5374cd38560SBarry Smith /*
5384cd38560SBarry Smith       Version for when blocks are 7 by 7 Using natural ordering
5394cd38560SBarry Smith */
5404cd38560SBarry Smith #undef __FUNC__
541b2863d3aSBarry Smith #define __FUNC__ /*<a name=""></a>*/"MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering"
5424cd38560SBarry Smith int MatLUFactorNumeric_SeqBAIJ_7_NaturalOrdering(Mat A,Mat *B)
5434cd38560SBarry Smith {
5444cd38560SBarry Smith   Mat          C = *B;
5454cd38560SBarry Smith   Mat_SeqBAIJ  *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data;
5464cd38560SBarry Smith   int          ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j;
5474cd38560SBarry Smith   int          *ajtmpold,*ajtmp,nz,row;
548329f5518SBarry Smith   int          *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj;
549329f5518SBarry Smith   MatScalar    *pv,*v,*rtmp,*pc,*w,*x;
5504cd38560SBarry Smith   MatScalar    x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15;
5514cd38560SBarry Smith   MatScalar    x16,x17,x18,x19,x20,x21,x22,x23,x24,x25;
5524cd38560SBarry Smith   MatScalar    p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15;
5534cd38560SBarry Smith   MatScalar    p16,p17,p18,p19,p20,p21,p22,p23,p24,p25;
5544cd38560SBarry Smith   MatScalar    m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15;
5554cd38560SBarry Smith   MatScalar    m16,m17,m18,m19,m20,m21,m22,m23,m24,m25;
5564cd38560SBarry Smith   MatScalar    p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36;
5574cd38560SBarry Smith   MatScalar    p37,p38,p39,p40,p41,p42,p43,p44,p45,p46,p47,p48,p49;
5584cd38560SBarry Smith   MatScalar    x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36;
5594cd38560SBarry Smith   MatScalar    x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49;
5604cd38560SBarry Smith   MatScalar    m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36;
5614cd38560SBarry Smith   MatScalar    m37,m38,m39,m40,m41,m42,m43,m44,m45,m46,m47,m48,m49;
5624cd38560SBarry Smith   MatScalar    *ba = b->a,*aa = a->a;
5634cd38560SBarry Smith 
5644cd38560SBarry Smith   PetscFunctionBegin;
5654cd38560SBarry Smith   rtmp  = (MatScalar*)PetscMalloc(49*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp);
5664cd38560SBarry Smith   for (i=0; i<n; i++) {
5674cd38560SBarry Smith     nz    = bi[i+1] - bi[i];
5684cd38560SBarry Smith     ajtmp = bj + bi[i];
5694cd38560SBarry Smith     for  (j=0; j<nz; j++) {
5704cd38560SBarry Smith       x = rtmp+49*ajtmp[j];
5714cd38560SBarry Smith       x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0;
5724cd38560SBarry Smith       x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0;
5734cd38560SBarry Smith       x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0 ;
5744cd38560SBarry Smith       x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0 ;
5754cd38560SBarry Smith       x[34] = x[35] = x[36] = x[37] = x[38] = x[39] = x[40] = x[41] = 0.0 ;
57615091d37SBarry Smith       x[42] = x[43] = x[44] = x[45] = x[46] = x[47] = x[48] = 0.0 ;
5774cd38560SBarry Smith     }
5784cd38560SBarry Smith     /* load in initial (unfactored row) */
5794cd38560SBarry Smith     nz       = ai[i+1] - ai[i];
5804cd38560SBarry Smith     ajtmpold = aj + ai[i];
5814cd38560SBarry Smith     v        = aa + 49*ai[i];
5824cd38560SBarry Smith     for (j=0; j<nz; j++) {
5834cd38560SBarry Smith       x    = rtmp+49*ajtmpold[j];
5844cd38560SBarry Smith       x[0] =  v[0];  x[1] =  v[1];  x[2] =  v[2];  x[3] =  v[3];
5854cd38560SBarry Smith       x[4] =  v[4];  x[5] =  v[5];  x[6] =  v[6];  x[7] =  v[7];
5864cd38560SBarry Smith       x[8] =  v[8];  x[9] =  v[9];  x[10] = v[10]; x[11] = v[11];
5874cd38560SBarry Smith       x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15];
5884cd38560SBarry Smith       x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19];
5894cd38560SBarry Smith       x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23];
5904cd38560SBarry Smith       x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27];
5914cd38560SBarry Smith       x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31];
5924cd38560SBarry Smith       x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35];
5934cd38560SBarry Smith       x[36] = v[36]; x[37] = v[37]; x[38] = v[38]; x[39] = v[39];
5944cd38560SBarry Smith       x[40] = v[40]; x[41] = v[41]; x[42] = v[42]; x[43] = v[43];
5954cd38560SBarry Smith       x[44] = v[44]; x[45] = v[45]; x[46] = v[46]; x[47] = v[47];
5964cd38560SBarry Smith       x[48] = v[48];
5974cd38560SBarry Smith       v    += 49;
5984cd38560SBarry Smith     }
5994cd38560SBarry Smith     row = *ajtmp++;
6004cd38560SBarry Smith     while (row < i) {
6014cd38560SBarry Smith       pc  = rtmp + 49*row;
6024cd38560SBarry Smith       p1  = pc[0];  p2  = pc[1];  p3  = pc[2];  p4  = pc[3];
6034cd38560SBarry Smith       p5  = pc[4];  p6  = pc[5];  p7  = pc[6];  p8  = pc[7];
6044cd38560SBarry Smith       p9  = pc[8];  p10 = pc[9];  p11 = pc[10]; p12 = pc[11];
6054cd38560SBarry Smith       p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15];
6064cd38560SBarry Smith       p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19];
6074cd38560SBarry Smith       p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23];
6084cd38560SBarry Smith       p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27];
6094cd38560SBarry Smith       p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31];
6104cd38560SBarry Smith       p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35];
6114cd38560SBarry Smith       p37 = pc[36]; p38 = pc[37]; p39 = pc[38]; p40 = pc[39];
6124cd38560SBarry Smith       p41 = pc[40]; p42 = pc[41]; p43 = pc[42]; p44 = pc[43];
6134cd38560SBarry Smith       p45 = pc[44]; p46 = pc[45]; p47 = pc[46]; p48 = pc[47];
6144cd38560SBarry Smith       p49 = pc[48];
6154cd38560SBarry Smith       if (p1  != 0.0 || p2  != 0.0 || p3  != 0.0 || p4  != 0.0 ||
6164cd38560SBarry Smith           p5  != 0.0 || p6  != 0.0 || p7  != 0.0 || p8  != 0.0 ||
6174cd38560SBarry Smith           p9  != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 ||
6184cd38560SBarry Smith           p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 ||
6194cd38560SBarry Smith           p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 ||
6204cd38560SBarry Smith           p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 ||
6214cd38560SBarry Smith           p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 ||
6224cd38560SBarry Smith           p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 ||
6234cd38560SBarry Smith           p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0 ||
6244cd38560SBarry Smith           p37 != 0.0 || p38 != 0.0 || p39 != 0.0 || p40 != 0.0 ||
6254cd38560SBarry Smith           p41 != 0.0 || p42 != 0.0 || p43 != 0.0 || p44 != 0.0 ||
6264cd38560SBarry Smith           p45 != 0.0 || p46 != 0.0 || p47 != 0.0 || p48 != 0.0 ||
6274cd38560SBarry Smith           p49 != 0.0) {
62815091d37SBarry Smith         pv = ba + 49*diag_offset[row];
6294cd38560SBarry Smith         pj = bj + diag_offset[row] + 1;
6304cd38560SBarry Smith 	x1  = pv[0];  x2  = pv[1];  x3  = pv[2];  x4  = pv[3];
6314cd38560SBarry Smith 	x5  = pv[4];  x6  = pv[5];  x7  = pv[6];  x8  = pv[7];
6324cd38560SBarry Smith 	x9  = pv[8];  x10 = pv[9];  x11 = pv[10]; x12 = pv[11];
6334cd38560SBarry Smith 	x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15];
6344cd38560SBarry Smith 	x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19];
6354cd38560SBarry Smith 	x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23];
6364cd38560SBarry Smith 	x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27];
6374cd38560SBarry Smith 	x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31];
6384cd38560SBarry Smith 	x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35];
6394cd38560SBarry Smith 	x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39];
6404cd38560SBarry Smith 	x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43];
6414cd38560SBarry Smith 	x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47];
6424cd38560SBarry Smith         x49 = pv[48];
6434cd38560SBarry Smith         pc[0]  = m1  = p1*x1  + p8*x2   + p15*x3  + p22*x4  + p29*x5  + p36*x6 + p43*x7;
6444cd38560SBarry Smith         pc[1]  = m2  = p2*x1  + p9*x2   + p16*x3  + p23*x4  + p30*x5  + p37*x6 + p44*x7;
6454cd38560SBarry Smith         pc[2]  = m3  = p3*x1  + p10*x2  + p17*x3  + p24*x4  + p31*x5  + p38*x6 + p45*x7;
6464cd38560SBarry Smith         pc[3]  = m4  = p4*x1  + p11*x2  + p18*x3  + p25*x4  + p32*x5  + p39*x6 + p46*x7;
6474cd38560SBarry Smith         pc[4]  = m5  = p5*x1  + p12*x2  + p19*x3  + p26*x4  + p33*x5  + p40*x6 + p47*x7;
6484cd38560SBarry Smith         pc[5]  = m6  = p6*x1  + p13*x2  + p20*x3  + p27*x4  + p34*x5  + p41*x6 + p48*x7;
6494cd38560SBarry Smith         pc[6]  = m7  = p7*x1  + p14*x2  + p21*x3  + p28*x4  + p35*x5  + p42*x6 + p49*x7;
6504cd38560SBarry Smith 
6514cd38560SBarry Smith         pc[7]  = m8  = p1*x8  + p8*x9   + p15*x10 + p22*x11 + p29*x12 + p36*x13 + p43*x14;
6524cd38560SBarry Smith         pc[8]  = m9  = p2*x8  + p9*x9   + p16*x10 + p23*x11 + p30*x12 + p37*x13 + p44*x14;
6534cd38560SBarry Smith         pc[9]  = m10 = p3*x8  + p10*x9  + p17*x10 + p24*x11 + p31*x12 + p38*x13 + p45*x14;
6544cd38560SBarry Smith         pc[10] = m11 = p4*x8  + p11*x9  + p18*x10 + p25*x11 + p32*x12 + p39*x13 + p46*x14;
6554cd38560SBarry Smith         pc[11] = m12 = p5*x8  + p12*x9  + p19*x10 + p26*x11 + p33*x12 + p40*x13 + p47*x14;
6564cd38560SBarry Smith         pc[12] = m13 = p6*x8  + p13*x9  + p20*x10 + p27*x11 + p34*x12 + p41*x13 + p48*x14;
6574cd38560SBarry Smith         pc[13] = m14 = p7*x8  + p14*x9  + p21*x10 + p28*x11 + p35*x12 + p42*x13 + p49*x14;
6584cd38560SBarry Smith 
6594cd38560SBarry Smith         pc[14] = m15 = p1*x15 + p8*x16  + p15*x17 + p22*x18 + p29*x19 + p36*x20 + p43*x21;
6604cd38560SBarry Smith         pc[15] = m16 = p2*x15 + p9*x16  + p16*x17 + p23*x18 + p30*x19 + p37*x20 + p44*x21;
6614cd38560SBarry Smith         pc[16] = m17 = p3*x15 + p10*x16 + p17*x17 + p24*x18 + p31*x19 + p38*x20 + p45*x21;
6624cd38560SBarry Smith         pc[17] = m18 = p4*x15 + p11*x16 + p18*x17 + p25*x18 + p32*x19 + p39*x20 + p46*x21;
6634cd38560SBarry Smith         pc[18] = m19 = p5*x15 + p12*x16 + p19*x17 + p26*x18 + p33*x19 + p40*x20 + p47*x21;
6644cd38560SBarry Smith         pc[19] = m20 = p6*x15 + p13*x16 + p20*x17 + p27*x18 + p34*x19 + p41*x20 + p48*x21;
6654cd38560SBarry Smith         pc[20] = m21 = p7*x15 + p14*x16 + p21*x17 + p28*x18 + p35*x19 + p42*x20 + p49*x21;
6664cd38560SBarry Smith 
6674cd38560SBarry Smith         pc[21] = m22 = p1*x22 + p8*x23  + p15*x24 + p22*x25 + p29*x26 + p36*x27 + p43*x28;
6684cd38560SBarry Smith         pc[22] = m23 = p2*x22 + p9*x23  + p16*x24 + p23*x25 + p30*x26 + p37*x27 + p44*x28;
6694cd38560SBarry Smith         pc[23] = m24 = p3*x22 + p10*x23 + p17*x24 + p24*x25 + p31*x26 + p38*x27 + p45*x28;
6704cd38560SBarry Smith         pc[24] = m25 = p4*x22 + p11*x23 + p18*x24 + p25*x25 + p32*x26 + p39*x27 + p46*x28;
6714cd38560SBarry Smith         pc[25] = m26 = p5*x22 + p12*x23 + p19*x24 + p26*x25 + p33*x26 + p40*x27 + p47*x28;
6724cd38560SBarry Smith         pc[26] = m27 = p6*x22 + p13*x23 + p20*x24 + p27*x25 + p34*x26 + p41*x27 + p48*x28;
6734cd38560SBarry Smith         pc[27] = m28 = p7*x22 + p14*x23 + p21*x24 + p28*x25 + p35*x26 + p42*x27 + p49*x28;
6744cd38560SBarry Smith 
6754cd38560SBarry Smith         pc[28] = m29 = p1*x29 + p8*x30  + p15*x31 + p22*x32 + p29*x33 + p36*x34 + p43*x35;
6764cd38560SBarry Smith         pc[29] = m30 = p2*x29 + p9*x30  + p16*x31 + p23*x32 + p30*x33 + p37*x34 + p44*x35;
6774cd38560SBarry Smith         pc[30] = m31 = p3*x29 + p10*x30 + p17*x31 + p24*x32 + p31*x33 + p38*x34 + p45*x35;
6784cd38560SBarry Smith         pc[31] = m32 = p4*x29 + p11*x30 + p18*x31 + p25*x32 + p32*x33 + p39*x34 + p46*x35;
6794cd38560SBarry Smith         pc[32] = m33 = p5*x29 + p12*x30 + p19*x31 + p26*x32 + p33*x33 + p40*x34 + p47*x35;
6804cd38560SBarry Smith         pc[33] = m34 = p6*x29 + p13*x30 + p20*x31 + p27*x32 + p34*x33 + p41*x34 + p48*x35;
6814cd38560SBarry Smith         pc[34] = m35 = p7*x29 + p14*x30 + p21*x31 + p28*x32 + p35*x33 + p42*x34 + p49*x35;
6824cd38560SBarry Smith 
6834cd38560SBarry Smith         pc[35] = m36 = p1*x36 + p8*x37  + p15*x38 + p22*x39 + p29*x40 + p36*x41 + p43*x42;
6844cd38560SBarry Smith         pc[36] = m37 = p2*x36 + p9*x37  + p16*x38 + p23*x39 + p30*x40 + p37*x41 + p44*x42;
6854cd38560SBarry Smith         pc[37] = m38 = p3*x36 + p10*x37 + p17*x38 + p24*x39 + p31*x40 + p38*x41 + p45*x42;
6864cd38560SBarry Smith         pc[38] = m39 = p4*x36 + p11*x37 + p18*x38 + p25*x39 + p32*x40 + p39*x41 + p46*x42;
6874cd38560SBarry Smith         pc[39] = m40 = p5*x36 + p12*x37 + p19*x38 + p26*x39 + p33*x40 + p40*x41 + p47*x42;
6884cd38560SBarry Smith         pc[40] = m41 = p6*x36 + p13*x37 + p20*x38 + p27*x39 + p34*x40 + p41*x41 + p48*x42;
6894cd38560SBarry Smith         pc[41] = m42 = p7*x36 + p14*x37 + p21*x38 + p28*x39 + p35*x40 + p42*x41 + p49*x42;
6904cd38560SBarry Smith 
6914cd38560SBarry Smith         pc[42] = m43 = p1*x43 + p8*x44  + p15*x45 + p22*x46 + p29*x47 + p36*x48 + p43*x49;
6924cd38560SBarry Smith         pc[43] = m44 = p2*x43 + p9*x44  + p16*x45 + p23*x46 + p30*x47 + p37*x48 + p44*x49;
6934cd38560SBarry Smith         pc[44] = m45 = p3*x43 + p10*x44 + p17*x45 + p24*x46 + p31*x47 + p38*x48 + p45*x49;
6944cd38560SBarry Smith         pc[45] = m46 = p4*x43 + p11*x44 + p18*x45 + p25*x46 + p32*x47 + p39*x48 + p46*x49;
6954cd38560SBarry Smith         pc[46] = m47 = p5*x43 + p12*x44 + p19*x45 + p26*x46 + p33*x47 + p40*x48 + p47*x49;
6964cd38560SBarry Smith         pc[47] = m48 = p6*x43 + p13*x44 + p20*x45 + p27*x46 + p34*x47 + p41*x48 + p48*x49;
6974cd38560SBarry Smith         pc[48] = m49 = p7*x43 + p14*x44 + p21*x45 + p28*x46 + p35*x47 + p42*x48 + p49*x49;
6984cd38560SBarry Smith 
6994cd38560SBarry Smith         nz = bi[row+1] - diag_offset[row] - 1;
7004cd38560SBarry Smith         pv += 49;
7014cd38560SBarry Smith         for (j=0; j<nz; j++) {
7024cd38560SBarry Smith 	  x1  = pv[0];  x2  = pv[1];  x3  = pv[2];  x4  = pv[3];
7034cd38560SBarry Smith 	  x5  = pv[4];  x6  = pv[5];  x7  = pv[6];  x8  = pv[7];
7044cd38560SBarry Smith 	  x9  = pv[8];  x10 = pv[9];  x11 = pv[10]; x12 = pv[11];
7054cd38560SBarry Smith 	  x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15];
7064cd38560SBarry Smith 	  x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19];
7074cd38560SBarry Smith 	  x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23];
7084cd38560SBarry Smith 	  x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27];
7094cd38560SBarry Smith 	  x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31];
7104cd38560SBarry Smith 	  x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35];
7114cd38560SBarry Smith 	  x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39];
7124cd38560SBarry Smith 	  x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43];
7134cd38560SBarry Smith 	  x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47];
7144cd38560SBarry Smith 	  x49 = pv[48];
7154cd38560SBarry Smith 	  x    = rtmp + 49*pj[j];
7164cd38560SBarry Smith 	  x[0]  -= m1*x1  + m8*x2   + m15*x3  + m22*x4  + m29*x5  + m36*x6 + m43*x7;
7174cd38560SBarry Smith 	  x[1]  -= m2*x1  + m9*x2   + m16*x3  + m23*x4  + m30*x5  + m37*x6 + m44*x7;
7184cd38560SBarry Smith 	  x[2]  -= m3*x1  + m10*x2  + m17*x3  + m24*x4  + m31*x5  + m38*x6 + m45*x7;
7194cd38560SBarry Smith 	  x[3]  -= m4*x1  + m11*x2  + m18*x3  + m25*x4  + m32*x5  + m39*x6 + m46*x7;
7204cd38560SBarry Smith 	  x[4]  -= m5*x1  + m12*x2  + m19*x3  + m26*x4  + m33*x5  + m40*x6 + m47*x7;
7214cd38560SBarry Smith 	  x[5]  -= m6*x1  + m13*x2  + m20*x3  + m27*x4  + m34*x5  + m41*x6 + m48*x7;
7224cd38560SBarry Smith 	  x[6]  -= m7*x1  + m14*x2  + m21*x3  + m28*x4  + m35*x5  + m42*x6 + m49*x7;
7234cd38560SBarry Smith 
7244cd38560SBarry Smith 	  x[7]  -= m1*x8  + m8*x9   + m15*x10 + m22*x11 + m29*x12 + m36*x13 + m43*x14;
7254cd38560SBarry Smith 	  x[8]  -= m2*x8  + m9*x9   + m16*x10 + m23*x11 + m30*x12 + m37*x13 + m44*x14;
7264cd38560SBarry Smith 	  x[9]  -= m3*x8  + m10*x9  + m17*x10 + m24*x11 + m31*x12 + m38*x13 + m45*x14;
7274cd38560SBarry Smith 	  x[10] -= m4*x8  + m11*x9  + m18*x10 + m25*x11 + m32*x12 + m39*x13 + m46*x14;
7284cd38560SBarry Smith 	  x[11] -= m5*x8  + m12*x9  + m19*x10 + m26*x11 + m33*x12 + m40*x13 + m47*x14;
7294cd38560SBarry Smith 	  x[12] -= m6*x8  + m13*x9  + m20*x10 + m27*x11 + m34*x12 + m41*x13 + m48*x14;
7304cd38560SBarry Smith 	  x[13] -= m7*x8  + m14*x9  + m21*x10 + m28*x11 + m35*x12 + m42*x13 + m49*x14;
7314cd38560SBarry Smith 
7324cd38560SBarry Smith 	  x[14] -= m1*x15 + m8*x16  + m15*x17 + m22*x18 + m29*x19 + m36*x20 + m43*x21;
7334cd38560SBarry Smith 	  x[15] -= m2*x15 + m9*x16  + m16*x17 + m23*x18 + m30*x19 + m37*x20 + m44*x21;
7344cd38560SBarry Smith 	  x[16] -= m3*x15 + m10*x16 + m17*x17 + m24*x18 + m31*x19 + m38*x20 + m45*x21;
7354cd38560SBarry Smith 	  x[17] -= m4*x15 + m11*x16 + m18*x17 + m25*x18 + m32*x19 + m39*x20 + m46*x21;
7364cd38560SBarry Smith 	  x[18] -= m5*x15 + m12*x16 + m19*x17 + m26*x18 + m33*x19 + m40*x20 + m47*x21;
7374cd38560SBarry Smith 	  x[19] -= m6*x15 + m13*x16 + m20*x17 + m27*x18 + m34*x19 + m41*x20 + m48*x21;
7384cd38560SBarry Smith 	  x[20] -= m7*x15 + m14*x16 + m21*x17 + m28*x18 + m35*x19 + m42*x20 + m49*x21;
7394cd38560SBarry Smith 
7404cd38560SBarry Smith 	  x[21] -= m1*x22 + m8*x23  + m15*x24 + m22*x25 + m29*x26 + m36*x27 + m43*x28;
7414cd38560SBarry Smith 	  x[22] -= m2*x22 + m9*x23  + m16*x24 + m23*x25 + m30*x26 + m37*x27 + m44*x28;
7424cd38560SBarry Smith 	  x[23] -= m3*x22 + m10*x23 + m17*x24 + m24*x25 + m31*x26 + m38*x27 + m45*x28;
7434cd38560SBarry Smith 	  x[24] -= m4*x22 + m11*x23 + m18*x24 + m25*x25 + m32*x26 + m39*x27 + m46*x28;
7444cd38560SBarry Smith 	  x[25] -= m5*x22 + m12*x23 + m19*x24 + m26*x25 + m33*x26 + m40*x27 + m47*x28;
7454cd38560SBarry Smith 	  x[26] -= m6*x22 + m13*x23 + m20*x24 + m27*x25 + m34*x26 + m41*x27 + m48*x28;
7464cd38560SBarry Smith 	  x[27] -= m7*x22 + m14*x23 + m21*x24 + m28*x25 + m35*x26 + m42*x27 + m49*x28;
7474cd38560SBarry Smith 
7484cd38560SBarry Smith 	  x[28] -= m1*x29 + m8*x30  + m15*x31 + m22*x32 + m29*x33 + m36*x34 + m43*x35;
7494cd38560SBarry Smith 	  x[29] -= m2*x29 + m9*x30  + m16*x31 + m23*x32 + m30*x33 + m37*x34 + m44*x35;
7504cd38560SBarry Smith 	  x[30] -= m3*x29 + m10*x30 + m17*x31 + m24*x32 + m31*x33 + m38*x34 + m45*x35;
7514cd38560SBarry Smith 	  x[31] -= m4*x29 + m11*x30 + m18*x31 + m25*x32 + m32*x33 + m39*x34 + m46*x35;
7524cd38560SBarry Smith 	  x[32] -= m5*x29 + m12*x30 + m19*x31 + m26*x32 + m33*x33 + m40*x34 + m47*x35;
7534cd38560SBarry Smith 	  x[33] -= m6*x29 + m13*x30 + m20*x31 + m27*x32 + m34*x33 + m41*x34 + m48*x35;
7544cd38560SBarry Smith 	  x[34] -= m7*x29 + m14*x30 + m21*x31 + m28*x32 + m35*x33 + m42*x34 + m49*x35;
7554cd38560SBarry Smith 
7564cd38560SBarry Smith 	  x[35] -= m1*x36 + m8*x37  + m15*x38 + m22*x39 + m29*x40 + m36*x41 + m43*x42;
7574cd38560SBarry Smith 	  x[36] -= m2*x36 + m9*x37  + m16*x38 + m23*x39 + m30*x40 + m37*x41 + m44*x42;
7584cd38560SBarry Smith 	  x[37] -= m3*x36 + m10*x37 + m17*x38 + m24*x39 + m31*x40 + m38*x41 + m45*x42;
7594cd38560SBarry Smith 	  x[38] -= m4*x36 + m11*x37 + m18*x38 + m25*x39 + m32*x40 + m39*x41 + m46*x42;
7604cd38560SBarry Smith 	  x[39] -= m5*x36 + m12*x37 + m19*x38 + m26*x39 + m33*x40 + m40*x41 + m47*x42;
7614cd38560SBarry Smith 	  x[40] -= m6*x36 + m13*x37 + m20*x38 + m27*x39 + m34*x40 + m41*x41 + m48*x42;
7624cd38560SBarry Smith 	  x[41] -= m7*x36 + m14*x37 + m21*x38 + m28*x39 + m35*x40 + m42*x41 + m49*x42;
7634cd38560SBarry Smith 
7644cd38560SBarry Smith 	  x[42] -= m1*x43 + m8*x44  + m15*x45 + m22*x46 + m29*x47 + m36*x48 + m43*x49;
7654cd38560SBarry Smith 	  x[43] -= m2*x43 + m9*x44  + m16*x45 + m23*x46 + m30*x47 + m37*x48 + m44*x49;
7664cd38560SBarry Smith 	  x[44] -= m3*x43 + m10*x44 + m17*x45 + m24*x46 + m31*x47 + m38*x48 + m45*x49;
7674cd38560SBarry Smith 	  x[45] -= m4*x43 + m11*x44 + m18*x45 + m25*x46 + m32*x47 + m39*x48 + m46*x49;
7684cd38560SBarry Smith 	  x[46] -= m5*x43 + m12*x44 + m19*x45 + m26*x46 + m33*x47 + m40*x48 + m47*x49;
7694cd38560SBarry Smith 	  x[47] -= m6*x43 + m13*x44 + m20*x45 + m27*x46 + m34*x47 + m41*x48 + m48*x49;
7704cd38560SBarry Smith 	  x[48] -= m7*x43 + m14*x44 + m21*x45 + m28*x46 + m35*x47 + m42*x48 + m49*x49;
7714cd38560SBarry Smith           pv   += 49;
7724cd38560SBarry Smith         }
7734cd38560SBarry Smith         PLogFlops(686*nz+637);
7744cd38560SBarry Smith       }
7754cd38560SBarry Smith       row = *ajtmp++;
7764cd38560SBarry Smith     }
7774cd38560SBarry Smith     /* finished row so stick it into b->a */
7784cd38560SBarry Smith     pv = ba + 49*bi[i];
7794cd38560SBarry Smith     pj = bj + bi[i];
7804cd38560SBarry Smith     nz = bi[i+1] - bi[i];
7814cd38560SBarry Smith     for (j=0; j<nz; j++) {
7824cd38560SBarry Smith       x      = rtmp+49*pj[j];
7834cd38560SBarry Smith       pv[0]  = x[0];  pv[1]  = x[1];  pv[2]  = x[2];  pv[3]  = x[3];
7844cd38560SBarry Smith       pv[4]  = x[4];  pv[5]  = x[5];  pv[6]  = x[6];  pv[7]  = x[7];
7854cd38560SBarry Smith       pv[8]  = x[8];  pv[9]  = x[9];  pv[10] = x[10]; pv[11] = x[11];
7864cd38560SBarry Smith       pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15];
7874cd38560SBarry Smith       pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19];
7884cd38560SBarry Smith       pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23];
7894cd38560SBarry Smith       pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27];
7904cd38560SBarry Smith       pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31];
7914cd38560SBarry Smith       pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35];
7924cd38560SBarry Smith       pv[36] = x[36]; pv[37] = x[37]; pv[38] = x[38]; pv[39] = x[39];
7934cd38560SBarry Smith       pv[40] = x[40]; pv[41] = x[41]; pv[42] = x[42]; pv[43] = x[43];
7944cd38560SBarry Smith       pv[44] = x[44]; pv[45] = x[45]; pv[46] = x[46]; pv[47] = x[47];
79515091d37SBarry Smith       pv[48] = x[48];
7964cd38560SBarry Smith       pv   += 49;
7974cd38560SBarry Smith     }
7984cd38560SBarry Smith     /* invert diagonal block */
7994cd38560SBarry Smith     w = ba + 49*diag_offset[i];
8004cd38560SBarry Smith     ierr = Kernel_A_gets_inverse_A_7(w);CHKERRQ(ierr);
8014cd38560SBarry Smith   }
8024cd38560SBarry Smith 
803606d414cSSatish Balay   ierr = PetscFree(rtmp);CHKERRQ(ierr);
8044cd38560SBarry Smith   C->factor    = FACTOR_LU;
8054cd38560SBarry Smith   C->assembled = PETSC_TRUE;
8064cd38560SBarry Smith   PLogFlops(1.3333*343*b->mbs); /* from inverting diagonal blocks */
8074cd38560SBarry Smith   PetscFunctionReturn(0);
8084cd38560SBarry Smith }
8094cd38560SBarry Smith 
8104cd38560SBarry Smith /* ------------------------------------------------------------*/
8114cd38560SBarry Smith /*
8124cd38560SBarry Smith       Version for when blocks are 6 by 6
8134cd38560SBarry Smith */
8144cd38560SBarry Smith #undef __FUNC__
815b2863d3aSBarry Smith #define __FUNC__ /*<a name=""></a>*/"MatLUFactorNumeric_SeqBAIJ_6"
8164cd38560SBarry Smith int MatLUFactorNumeric_SeqBAIJ_6(Mat A,Mat *B)
8174cd38560SBarry Smith {
8184cd38560SBarry Smith   Mat          C = *B;
8194cd38560SBarry Smith   Mat_SeqBAIJ  *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data;
8204cd38560SBarry Smith   IS           isrow = b->row,isicol = b->icol;
8214cd38560SBarry Smith   int          *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j;
8224cd38560SBarry Smith   int          *ajtmpold,*ajtmp,nz,row;
823329f5518SBarry Smith   int          *diag_offset = b->diag,idx,*ai=a->i,*aj=a->j,*pj;
824329f5518SBarry Smith   MatScalar    *pv,*v,*rtmp,*pc,*w,*x;
8254cd38560SBarry Smith   MatScalar    p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4;
8264cd38560SBarry Smith   MatScalar    p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16;
8274cd38560SBarry Smith   MatScalar    x17,x18,x19,x20,x21,x22,x23,x24,x25,p10,p11,p12,p13,p14;
8284cd38560SBarry Smith   MatScalar    p15,p16,p17,p18,p19,p20,p21,p22,p23,p24,p25,m10,m11,m12;
8294cd38560SBarry Smith   MatScalar    m13,m14,m15,m16,m17,m18,m19,m20,m21,m22,m23,m24,m25;
8304cd38560SBarry Smith   MatScalar    p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36;
8314cd38560SBarry Smith   MatScalar    x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36;
8324cd38560SBarry Smith   MatScalar    m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36;
8334cd38560SBarry Smith   MatScalar    *ba = b->a,*aa = a->a;
8344cd38560SBarry Smith 
8354cd38560SBarry Smith   PetscFunctionBegin;
8364cd38560SBarry Smith   ierr  = ISGetIndices(isrow,&r);CHKERRQ(ierr);
8374cd38560SBarry Smith   ierr  = ISGetIndices(isicol,&ic);CHKERRQ(ierr);
8384cd38560SBarry Smith   rtmp  = (MatScalar*)PetscMalloc(36*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp);
8394cd38560SBarry Smith 
8404cd38560SBarry Smith   for (i=0; i<n; i++) {
8414cd38560SBarry Smith     nz    = bi[i+1] - bi[i];
8424cd38560SBarry Smith     ajtmp = bj + bi[i];
8434cd38560SBarry Smith     for  (j=0; j<nz; j++) {
8444cd38560SBarry Smith       x = rtmp+36*ajtmp[j];
8454cd38560SBarry Smith       x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0;
8464cd38560SBarry Smith       x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0;
8474cd38560SBarry Smith       x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0 ;
8484cd38560SBarry Smith       x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0 ;
8494cd38560SBarry Smith       x[34] = x[35] = 0.0 ;
8504cd38560SBarry Smith     }
8514cd38560SBarry Smith     /* load in initial (unfactored row) */
8524cd38560SBarry Smith     idx      = r[i];
8534cd38560SBarry Smith     nz       = ai[idx+1] - ai[idx];
8544cd38560SBarry Smith     ajtmpold = aj + ai[idx];
8554cd38560SBarry Smith     v        = aa + 36*ai[idx];
8564cd38560SBarry Smith     for (j=0; j<nz; j++) {
8574cd38560SBarry Smith       x    = rtmp+36*ic[ajtmpold[j]];
8584cd38560SBarry Smith       x[0] =  v[0];  x[1] =  v[1];  x[2] =  v[2];  x[3] =  v[3];
8594cd38560SBarry Smith       x[4] =  v[4];  x[5] =  v[5];  x[6] =  v[6];  x[7] =  v[7];
8604cd38560SBarry Smith       x[8] =  v[8];  x[9] =  v[9];  x[10] = v[10]; x[11] = v[11];
8614cd38560SBarry Smith       x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15];
8624cd38560SBarry Smith       x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19];
8634cd38560SBarry Smith       x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23];
8644cd38560SBarry Smith       x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27];
8654cd38560SBarry Smith       x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31];
8664cd38560SBarry Smith       x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35];
8674cd38560SBarry Smith       v    += 36;
8684cd38560SBarry Smith     }
8694cd38560SBarry Smith     row = *ajtmp++;
8704cd38560SBarry Smith     while (row < i) {
8714cd38560SBarry Smith       pc  =  rtmp + 36*row;
8724cd38560SBarry Smith       p1  = pc[0];  p2  = pc[1];  p3  = pc[2];  p4  = pc[3];
8734cd38560SBarry Smith       p5  = pc[4];  p6  = pc[5];  p7  = pc[6];  p8  = pc[7];
8744cd38560SBarry Smith       p9  = pc[8];  p10 = pc[9];  p11 = pc[10]; p12 = pc[11];
8754cd38560SBarry Smith       p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15];
8764cd38560SBarry Smith       p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19];
8774cd38560SBarry Smith       p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23];
8784cd38560SBarry Smith       p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27];
8794cd38560SBarry Smith       p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31];
8804cd38560SBarry Smith       p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35];
8814cd38560SBarry Smith       if (p1  != 0.0 || p2  != 0.0 || p3  != 0.0 || p4  != 0.0 ||
8824cd38560SBarry Smith           p5  != 0.0 || p6  != 0.0 || p7  != 0.0 || p8  != 0.0 ||
8834cd38560SBarry Smith           p9  != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 ||
8844cd38560SBarry Smith           p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 ||
8854cd38560SBarry Smith           p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 ||
8864cd38560SBarry Smith           p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 ||
8874cd38560SBarry Smith           p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 ||
8884cd38560SBarry Smith           p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 ||
8894cd38560SBarry Smith           p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0) {
8904cd38560SBarry Smith         pv = ba + 36*diag_offset[row];
8914cd38560SBarry Smith         pj = bj + diag_offset[row] + 1;
8924cd38560SBarry Smith 	x1  = pv[0];  x2  = pv[1];  x3  = pv[2];  x4  = pv[3];
8934cd38560SBarry Smith 	x5  = pv[4];  x6  = pv[5];  x7  = pv[6];  x8  = pv[7];
8944cd38560SBarry Smith 	x9  = pv[8];  x10 = pv[9];  x11 = pv[10]; x12 = pv[11];
8954cd38560SBarry Smith 	x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15];
8964cd38560SBarry Smith 	x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19];
8974cd38560SBarry Smith 	x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23];
8984cd38560SBarry Smith 	x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27];
8994cd38560SBarry Smith 	x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31];
9004cd38560SBarry Smith 	x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35];
9014cd38560SBarry Smith         pc[0]  = m1  = p1*x1  + p7*x2   + p13*x3  + p19*x4  + p25*x5  + p31*x6;
9024cd38560SBarry Smith         pc[1]  = m2  = p2*x1  + p8*x2   + p14*x3  + p20*x4  + p26*x5  + p32*x6;
9034cd38560SBarry Smith         pc[2]  = m3  = p3*x1  + p9*x2   + p15*x3  + p21*x4  + p27*x5  + p33*x6;
9044cd38560SBarry Smith         pc[3]  = m4  = p4*x1  + p10*x2  + p16*x3  + p22*x4  + p28*x5  + p34*x6;
9054cd38560SBarry Smith         pc[4]  = m5  = p5*x1  + p11*x2  + p17*x3  + p23*x4  + p29*x5  + p35*x6;
9064cd38560SBarry Smith         pc[5]  = m6  = p6*x1  + p12*x2  + p18*x3  + p24*x4  + p30*x5  + p36*x6;
9074cd38560SBarry Smith 
9084cd38560SBarry Smith         pc[6]  = m7  = p1*x7  + p7*x8   + p13*x9  + p19*x10 + p25*x11 + p31*x12;
9094cd38560SBarry Smith         pc[7]  = m8  = p2*x7  + p8*x8   + p14*x9  + p20*x10 + p26*x11 + p32*x12;
9104cd38560SBarry Smith         pc[8]  = m9  = p3*x7  + p9*x8   + p15*x9  + p21*x10 + p27*x11 + p33*x12;
9114cd38560SBarry Smith         pc[9]  = m10 = p4*x7  + p10*x8  + p16*x9  + p22*x10 + p28*x11 + p34*x12;
9124cd38560SBarry Smith         pc[10] = m11 = p5*x7  + p11*x8  + p17*x9  + p23*x10 + p29*x11 + p35*x12;
9134cd38560SBarry Smith         pc[11] = m12 = p6*x7  + p12*x8  + p18*x9  + p24*x10 + p30*x11 + p36*x12;
9144cd38560SBarry Smith 
9154cd38560SBarry Smith         pc[12] = m13 = p1*x13 + p7*x14  + p13*x15 + p19*x16 + p25*x17 + p31*x18;
9164cd38560SBarry Smith         pc[13] = m14 = p2*x13 + p8*x14  + p14*x15 + p20*x16 + p26*x17 + p32*x18;
9174cd38560SBarry Smith         pc[14] = m15 = p3*x13 + p9*x14  + p15*x15 + p21*x16 + p27*x17 + p33*x18;
9184cd38560SBarry Smith         pc[15] = m16 = p4*x13 + p10*x14 + p16*x15 + p22*x16 + p28*x17 + p34*x18;
9194cd38560SBarry Smith         pc[16] = m17 = p5*x13 + p11*x14 + p17*x15 + p23*x16 + p29*x17 + p35*x18;
9204cd38560SBarry Smith         pc[17] = m18 = p6*x13 + p12*x14 + p18*x15 + p24*x16 + p30*x17 + p36*x18;
9214cd38560SBarry Smith 
9224cd38560SBarry Smith         pc[18] = m19 = p1*x19 + p7*x20  + p13*x21 + p19*x22 + p25*x23 + p31*x24;
9234cd38560SBarry Smith         pc[19] = m20 = p2*x19 + p8*x20  + p14*x21 + p20*x22 + p26*x23 + p32*x24;
9244cd38560SBarry Smith         pc[20] = m21 = p3*x19 + p9*x20  + p15*x21 + p21*x22 + p27*x23 + p33*x24;
9254cd38560SBarry Smith         pc[21] = m22 = p4*x19 + p10*x20 + p16*x21 + p22*x22 + p28*x23 + p34*x24;
9264cd38560SBarry Smith         pc[22] = m23 = p5*x19 + p11*x20 + p17*x21 + p23*x22 + p29*x23 + p35*x24;
9274cd38560SBarry Smith         pc[23] = m24 = p6*x19 + p12*x20 + p18*x21 + p24*x22 + p30*x23 + p36*x24;
9284cd38560SBarry Smith 
9294cd38560SBarry Smith         pc[24] = m25 = p1*x25 + p7*x26  + p13*x27 + p19*x28 + p25*x29 + p31*x30;
9304cd38560SBarry Smith         pc[25] = m26 = p2*x25 + p8*x26  + p14*x27 + p20*x28 + p26*x29 + p32*x30;
9314cd38560SBarry Smith         pc[26] = m27 = p3*x25 + p9*x26  + p15*x27 + p21*x28 + p27*x29 + p33*x30;
9324cd38560SBarry Smith         pc[27] = m28 = p4*x25 + p10*x26 + p16*x27 + p22*x28 + p28*x29 + p34*x30;
9334cd38560SBarry Smith         pc[28] = m29 = p5*x25 + p11*x26 + p17*x27 + p23*x28 + p29*x29 + p35*x30;
9344cd38560SBarry Smith         pc[29] = m30 = p6*x25 + p12*x26 + p18*x27 + p24*x28 + p30*x29 + p36*x30;
9354cd38560SBarry Smith 
9364cd38560SBarry Smith         pc[30] = m31 = p1*x31 + p7*x32  + p13*x33 + p19*x34 + p25*x35 + p31*x36;
9374cd38560SBarry Smith         pc[31] = m32 = p2*x31 + p8*x32  + p14*x33 + p20*x34 + p26*x35 + p32*x36;
9384cd38560SBarry Smith         pc[32] = m33 = p3*x31 + p9*x32  + p15*x33 + p21*x34 + p27*x35 + p33*x36;
9394cd38560SBarry Smith         pc[33] = m34 = p4*x31 + p10*x32 + p16*x33 + p22*x34 + p28*x35 + p34*x36;
9404cd38560SBarry Smith         pc[34] = m35 = p5*x31 + p11*x32 + p17*x33 + p23*x34 + p29*x35 + p35*x36;
9414cd38560SBarry Smith         pc[35] = m36 = p6*x31 + p12*x32 + p18*x33 + p24*x34 + p30*x35 + p36*x36;
9424cd38560SBarry Smith 
9434cd38560SBarry Smith         nz = bi[row+1] - diag_offset[row] - 1;
9444cd38560SBarry Smith         pv += 36;
9454cd38560SBarry Smith         for (j=0; j<nz; j++) {
9464cd38560SBarry Smith 	  x1  = pv[0];  x2  = pv[1];  x3  = pv[2];  x4  = pv[3];
9474cd38560SBarry Smith 	  x5  = pv[4];  x6  = pv[5];  x7  = pv[6];  x8  = pv[7];
9484cd38560SBarry Smith 	  x9  = pv[8];  x10 = pv[9];  x11 = pv[10]; x12 = pv[11];
9494cd38560SBarry Smith 	  x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15];
9504cd38560SBarry Smith 	  x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19];
9514cd38560SBarry Smith 	  x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23];
9524cd38560SBarry Smith 	  x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27];
9534cd38560SBarry Smith 	  x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31];
9544cd38560SBarry Smith 	  x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35];
9554cd38560SBarry Smith 	  x    = rtmp + 36*pj[j];
9564cd38560SBarry Smith           x[0]  -= m1*x1  + m7*x2   + m13*x3  + m19*x4  + m25*x5  + m31*x6;
9574cd38560SBarry Smith           x[1]  -= m2*x1  + m8*x2   + m14*x3  + m20*x4  + m26*x5  + m32*x6;
9584cd38560SBarry Smith           x[2]  -= m3*x1  + m9*x2   + m15*x3  + m21*x4  + m27*x5  + m33*x6;
9594cd38560SBarry Smith           x[3]  -= m4*x1  + m10*x2  + m16*x3  + m22*x4  + m28*x5  + m34*x6;
9604cd38560SBarry Smith           x[4]  -= m5*x1  + m11*x2  + m17*x3  + m23*x4  + m29*x5  + m35*x6;
9614cd38560SBarry Smith           x[5]  -= m6*x1  + m12*x2  + m18*x3  + m24*x4  + m30*x5  + m36*x6;
9624cd38560SBarry Smith 
9634cd38560SBarry Smith 	  x[6]  -= m1*x7  + m7*x8   + m13*x9  + m19*x10 + m25*x11 + m31*x12;
9644cd38560SBarry Smith 	  x[7]  -= m2*x7  + m8*x8   + m14*x9  + m20*x10 + m26*x11 + m32*x12;
9654cd38560SBarry Smith 	  x[8]  -= m3*x7  + m9*x8   + m15*x9  + m21*x10 + m27*x11 + m33*x12;
9664cd38560SBarry Smith 	  x[9]  -= m4*x7  + m10*x8  + m16*x9  + m22*x10 + m28*x11 + m34*x12;
9674cd38560SBarry Smith 	  x[10] -= m5*x7  + m11*x8  + m17*x9  + m23*x10 + m29*x11 + m35*x12;
9684cd38560SBarry Smith 	  x[11] -= m6*x7  + m12*x8  + m18*x9  + m24*x10 + m30*x11 + m36*x12;
9694cd38560SBarry Smith 
9704cd38560SBarry Smith 	  x[12] -= m1*x13 + m7*x14  + m13*x15 + m19*x16 + m25*x17 + m31*x18;
9714cd38560SBarry Smith 	  x[13] -= m2*x13 + m8*x14  + m14*x15 + m20*x16 + m26*x17 + m32*x18;
9724cd38560SBarry Smith 	  x[14] -= m3*x13 + m9*x14  + m15*x15 + m21*x16 + m27*x17 + m33*x18;
9734cd38560SBarry Smith 	  x[15] -= m4*x13 + m10*x14 + m16*x15 + m22*x16 + m28*x17 + m34*x18;
9744cd38560SBarry Smith 	  x[16] -= m5*x13 + m11*x14 + m17*x15 + m23*x16 + m29*x17 + m35*x18;
9754cd38560SBarry Smith 	  x[17] -= m6*x13 + m12*x14 + m18*x15 + m24*x16 + m30*x17 + m36*x18;
9764cd38560SBarry Smith 
9774cd38560SBarry Smith 	  x[18] -= m1*x19 + m7*x20  + m13*x21 + m19*x22 + m25*x23 + m31*x24;
9784cd38560SBarry Smith 	  x[19] -= m2*x19 + m8*x20  + m14*x21 + m20*x22 + m26*x23 + m32*x24;
9794cd38560SBarry Smith 	  x[20] -= m3*x19 + m9*x20  + m15*x21 + m21*x22 + m27*x23 + m33*x24;
9804cd38560SBarry Smith 	  x[21] -= m4*x19 + m10*x20 + m16*x21 + m22*x22 + m28*x23 + m34*x24;
9814cd38560SBarry Smith 	  x[22] -= m5*x19 + m11*x20 + m17*x21 + m23*x22 + m29*x23 + m35*x24;
9824cd38560SBarry Smith 	  x[23] -= m6*x19 + m12*x20 + m18*x21 + m24*x22 + m30*x23 + m36*x24;
9834cd38560SBarry Smith 
9844cd38560SBarry Smith 	  x[24] -= m1*x25 + m7*x26  + m13*x27 + m19*x28 + m25*x29 + m31*x30;
9854cd38560SBarry Smith 	  x[25] -= m2*x25 + m8*x26  + m14*x27 + m20*x28 + m26*x29 + m32*x30;
9864cd38560SBarry Smith 	  x[26] -= m3*x25 + m9*x26  + m15*x27 + m21*x28 + m27*x29 + m33*x30;
9874cd38560SBarry Smith 	  x[27] -= m4*x25 + m10*x26 + m16*x27 + m22*x28 + m28*x29 + m34*x30;
9884cd38560SBarry Smith 	  x[28] -= m5*x25 + m11*x26 + m17*x27 + m23*x28 + m29*x29 + m35*x30;
9894cd38560SBarry Smith 	  x[29] -= m6*x25 + m12*x26 + m18*x27 + m24*x28 + m30*x29 + m36*x30;
9904cd38560SBarry Smith 
9914cd38560SBarry Smith 	  x[30] -= m1*x31 + m7*x32  + m13*x33 + m19*x34 + m25*x35 + m31*x36;
9924cd38560SBarry Smith 	  x[31] -= m2*x31 + m8*x32  + m14*x33 + m20*x34 + m26*x35 + m32*x36;
9934cd38560SBarry Smith 	  x[32] -= m3*x31 + m9*x32  + m15*x33 + m21*x34 + m27*x35 + m33*x36;
9944cd38560SBarry Smith 	  x[33] -= m4*x31 + m10*x32 + m16*x33 + m22*x34 + m28*x35 + m34*x36;
9954cd38560SBarry Smith 	  x[34] -= m5*x31 + m11*x32 + m17*x33 + m23*x34 + m29*x35 + m35*x36;
9964cd38560SBarry Smith 	  x[35] -= m6*x31 + m12*x32 + m18*x33 + m24*x34 + m30*x35 + m36*x36;
9974cd38560SBarry Smith 
9984cd38560SBarry Smith           pv   += 36;
9994cd38560SBarry Smith         }
10004cd38560SBarry Smith         PLogFlops(432*nz+396);
10014cd38560SBarry Smith       }
10024cd38560SBarry Smith       row = *ajtmp++;
10034cd38560SBarry Smith     }
10044cd38560SBarry Smith     /* finished row so stick it into b->a */
10054cd38560SBarry Smith     pv = ba + 36*bi[i];
10064cd38560SBarry Smith     pj = bj + bi[i];
10074cd38560SBarry Smith     nz = bi[i+1] - bi[i];
10084cd38560SBarry Smith     for (j=0; j<nz; j++) {
10094cd38560SBarry Smith       x      = rtmp+36*pj[j];
10104cd38560SBarry Smith       pv[0]  = x[0];  pv[1]  = x[1];  pv[2]  = x[2];  pv[3]  = x[3];
10114cd38560SBarry Smith       pv[4]  = x[4];  pv[5]  = x[5];  pv[6]  = x[6];  pv[7]  = x[7];
10124cd38560SBarry Smith       pv[8]  = x[8];  pv[9]  = x[9];  pv[10] = x[10]; pv[11] = x[11];
10134cd38560SBarry Smith       pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15];
10144cd38560SBarry Smith       pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19];
10154cd38560SBarry Smith       pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23];
10164cd38560SBarry Smith       pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27];
10174cd38560SBarry Smith       pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31];
10184cd38560SBarry Smith       pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35];
10194cd38560SBarry Smith       pv   += 36;
10204cd38560SBarry Smith     }
10214cd38560SBarry Smith     /* invert diagonal block */
10224cd38560SBarry Smith     w = ba + 36*diag_offset[i];
10234cd38560SBarry Smith     ierr = Kernel_A_gets_inverse_A_6(w);CHKERRQ(ierr);
10244cd38560SBarry Smith   }
10254cd38560SBarry Smith 
1026606d414cSSatish Balay   ierr = PetscFree(rtmp);CHKERRQ(ierr);
10274cd38560SBarry Smith   ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr);
10284cd38560SBarry Smith   ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr);
10294cd38560SBarry Smith   C->factor = FACTOR_LU;
10304cd38560SBarry Smith   C->assembled = PETSC_TRUE;
10314cd38560SBarry Smith   PLogFlops(1.3333*216*b->mbs); /* from inverting diagonal blocks */
10324cd38560SBarry Smith   PetscFunctionReturn(0);
10334cd38560SBarry Smith }
10344cd38560SBarry Smith /*
10354cd38560SBarry Smith       Version for when blocks are 6 by 6 Using natural ordering
10364cd38560SBarry Smith */
10374cd38560SBarry Smith #undef __FUNC__
1038b2863d3aSBarry Smith #define __FUNC__ /*<a name=""></a>*/"MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering"
10394cd38560SBarry Smith int MatLUFactorNumeric_SeqBAIJ_6_NaturalOrdering(Mat A,Mat *B)
10404cd38560SBarry Smith {
10414cd38560SBarry Smith   Mat         C = *B;
10424cd38560SBarry Smith   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data;
10434cd38560SBarry Smith   int         ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j;
10444cd38560SBarry Smith   int         *ajtmpold,*ajtmp,nz,row;
1045329f5518SBarry Smith   int         *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj;
1046329f5518SBarry Smith   MatScalar   *pv,*v,*rtmp,*pc,*w,*x;
10474cd38560SBarry Smith   MatScalar   x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15;
10484cd38560SBarry Smith   MatScalar   x16,x17,x18,x19,x20,x21,x22,x23,x24,x25;
10494cd38560SBarry Smith   MatScalar   p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15;
10504cd38560SBarry Smith   MatScalar   p16,p17,p18,p19,p20,p21,p22,p23,p24,p25;
10514cd38560SBarry Smith   MatScalar   m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15;
10524cd38560SBarry Smith   MatScalar   m16,m17,m18,m19,m20,m21,m22,m23,m24,m25;
10534cd38560SBarry Smith   MatScalar   p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36;
10544cd38560SBarry Smith   MatScalar   x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36;
10554cd38560SBarry Smith   MatScalar   m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36;
10564cd38560SBarry Smith   MatScalar   *ba = b->a,*aa = a->a;
10574cd38560SBarry Smith 
10584cd38560SBarry Smith   PetscFunctionBegin;
10594cd38560SBarry Smith   rtmp  = (MatScalar*)PetscMalloc(36*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp);
10604cd38560SBarry Smith   for (i=0; i<n; i++) {
10614cd38560SBarry Smith     nz    = bi[i+1] - bi[i];
10624cd38560SBarry Smith     ajtmp = bj + bi[i];
10634cd38560SBarry Smith     for  (j=0; j<nz; j++) {
10644cd38560SBarry Smith       x = rtmp+36*ajtmp[j];
10654cd38560SBarry Smith       x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0;
10664cd38560SBarry Smith       x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0;
10674cd38560SBarry Smith       x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0 ;
10684cd38560SBarry Smith       x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0 ;
10694cd38560SBarry Smith       x[34] = x[35] = 0.0 ;
10704cd38560SBarry Smith     }
10714cd38560SBarry Smith     /* load in initial (unfactored row) */
10724cd38560SBarry Smith     nz       = ai[i+1] - ai[i];
10734cd38560SBarry Smith     ajtmpold = aj + ai[i];
10744cd38560SBarry Smith     v        = aa + 36*ai[i];
10754cd38560SBarry Smith     for (j=0; j<nz; j++) {
10764cd38560SBarry Smith       x    = rtmp+36*ajtmpold[j];
10774cd38560SBarry Smith       x[0] =  v[0];  x[1] =  v[1];  x[2] =  v[2];  x[3] =  v[3];
10784cd38560SBarry Smith       x[4] =  v[4];  x[5] =  v[5];  x[6] =  v[6];  x[7] =  v[7];
10794cd38560SBarry Smith       x[8] =  v[8];  x[9] =  v[9];  x[10] = v[10]; x[11] = v[11];
10804cd38560SBarry Smith       x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15];
10814cd38560SBarry Smith       x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19];
10824cd38560SBarry Smith       x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23];
10834cd38560SBarry Smith       x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27];
10844cd38560SBarry Smith       x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31];
10854cd38560SBarry Smith       x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35];
10864cd38560SBarry Smith       v    += 36;
10874cd38560SBarry Smith     }
10884cd38560SBarry Smith     row = *ajtmp++;
10894cd38560SBarry Smith     while (row < i) {
10904cd38560SBarry Smith       pc  = rtmp + 36*row;
10914cd38560SBarry Smith       p1  = pc[0];  p2  = pc[1];  p3  = pc[2];  p4  = pc[3];
10924cd38560SBarry Smith       p5  = pc[4];  p6  = pc[5];  p7  = pc[6];  p8  = pc[7];
10934cd38560SBarry Smith       p9  = pc[8];  p10 = pc[9];  p11 = pc[10]; p12 = pc[11];
10944cd38560SBarry Smith       p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15];
10954cd38560SBarry Smith       p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19];
10964cd38560SBarry Smith       p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23];
10974cd38560SBarry Smith       p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27];
10984cd38560SBarry Smith       p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31];
10994cd38560SBarry Smith       p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35];
11004cd38560SBarry Smith       if (p1  != 0.0 || p2  != 0.0 || p3  != 0.0 || p4  != 0.0 ||
11014cd38560SBarry Smith           p5  != 0.0 || p6  != 0.0 || p7  != 0.0 || p8  != 0.0 ||
11024cd38560SBarry Smith           p9  != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 ||
11034cd38560SBarry Smith           p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 ||
11044cd38560SBarry Smith           p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 ||
11054cd38560SBarry Smith           p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 ||
11064cd38560SBarry Smith           p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 ||
11074cd38560SBarry Smith           p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 ||
11084cd38560SBarry Smith           p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0) {
11094cd38560SBarry Smith         pv = ba + 36*diag_offset[row];
11104cd38560SBarry Smith         pj = bj + diag_offset[row] + 1;
11114cd38560SBarry Smith 	x1  = pv[0];  x2  = pv[1];  x3  = pv[2];  x4  = pv[3];
11124cd38560SBarry Smith 	x5  = pv[4];  x6  = pv[5];  x7  = pv[6];  x8  = pv[7];
11134cd38560SBarry Smith 	x9  = pv[8];  x10 = pv[9];  x11 = pv[10]; x12 = pv[11];
11144cd38560SBarry Smith 	x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15];
11154cd38560SBarry Smith 	x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19];
11164cd38560SBarry Smith 	x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23];
11174cd38560SBarry Smith 	x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27];
11184cd38560SBarry Smith 	x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31];
11194cd38560SBarry Smith 	x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35];
11204cd38560SBarry Smith         pc[0]  = m1  = p1*x1  + p7*x2   + p13*x3  + p19*x4  + p25*x5  + p31*x6;
11214cd38560SBarry Smith         pc[1]  = m2  = p2*x1  + p8*x2   + p14*x3  + p20*x4  + p26*x5  + p32*x6;
11224cd38560SBarry Smith         pc[2]  = m3  = p3*x1  + p9*x2   + p15*x3  + p21*x4  + p27*x5  + p33*x6;
11234cd38560SBarry Smith         pc[3]  = m4  = p4*x1  + p10*x2  + p16*x3  + p22*x4  + p28*x5  + p34*x6;
11244cd38560SBarry Smith         pc[4]  = m5  = p5*x1  + p11*x2  + p17*x3  + p23*x4  + p29*x5  + p35*x6;
11254cd38560SBarry Smith         pc[5]  = m6  = p6*x1  + p12*x2  + p18*x3  + p24*x4  + p30*x5  + p36*x6;
11264cd38560SBarry Smith 
11274cd38560SBarry Smith         pc[6]  = m7  = p1*x7  + p7*x8   + p13*x9  + p19*x10 + p25*x11 + p31*x12;
11284cd38560SBarry Smith         pc[7]  = m8  = p2*x7  + p8*x8   + p14*x9  + p20*x10 + p26*x11 + p32*x12;
11294cd38560SBarry Smith         pc[8]  = m9  = p3*x7  + p9*x8   + p15*x9  + p21*x10 + p27*x11 + p33*x12;
11304cd38560SBarry Smith         pc[9]  = m10 = p4*x7  + p10*x8  + p16*x9  + p22*x10 + p28*x11 + p34*x12;
11314cd38560SBarry Smith         pc[10] = m11 = p5*x7  + p11*x8  + p17*x9  + p23*x10 + p29*x11 + p35*x12;
11324cd38560SBarry Smith         pc[11] = m12 = p6*x7  + p12*x8  + p18*x9  + p24*x10 + p30*x11 + p36*x12;
11334cd38560SBarry Smith 
11344cd38560SBarry Smith         pc[12] = m13 = p1*x13 + p7*x14  + p13*x15 + p19*x16 + p25*x17 + p31*x18;
11354cd38560SBarry Smith         pc[13] = m14 = p2*x13 + p8*x14  + p14*x15 + p20*x16 + p26*x17 + p32*x18;
11364cd38560SBarry Smith         pc[14] = m15 = p3*x13 + p9*x14  + p15*x15 + p21*x16 + p27*x17 + p33*x18;
11374cd38560SBarry Smith         pc[15] = m16 = p4*x13 + p10*x14 + p16*x15 + p22*x16 + p28*x17 + p34*x18;
11384cd38560SBarry Smith         pc[16] = m17 = p5*x13 + p11*x14 + p17*x15 + p23*x16 + p29*x17 + p35*x18;
11394cd38560SBarry Smith         pc[17] = m18 = p6*x13 + p12*x14 + p18*x15 + p24*x16 + p30*x17 + p36*x18;
11404cd38560SBarry Smith 
11414cd38560SBarry Smith         pc[18] = m19 = p1*x19 + p7*x20  + p13*x21 + p19*x22 + p25*x23 + p31*x24;
11424cd38560SBarry Smith         pc[19] = m20 = p2*x19 + p8*x20  + p14*x21 + p20*x22 + p26*x23 + p32*x24;
11434cd38560SBarry Smith         pc[20] = m21 = p3*x19 + p9*x20  + p15*x21 + p21*x22 + p27*x23 + p33*x24;
11444cd38560SBarry Smith         pc[21] = m22 = p4*x19 + p10*x20 + p16*x21 + p22*x22 + p28*x23 + p34*x24;
11454cd38560SBarry Smith         pc[22] = m23 = p5*x19 + p11*x20 + p17*x21 + p23*x22 + p29*x23 + p35*x24;
11464cd38560SBarry Smith         pc[23] = m24 = p6*x19 + p12*x20 + p18*x21 + p24*x22 + p30*x23 + p36*x24;
11474cd38560SBarry Smith 
11484cd38560SBarry Smith         pc[24] = m25 = p1*x25 + p7*x26  + p13*x27 + p19*x28 + p25*x29 + p31*x30;
11494cd38560SBarry Smith         pc[25] = m26 = p2*x25 + p8*x26  + p14*x27 + p20*x28 + p26*x29 + p32*x30;
11504cd38560SBarry Smith         pc[26] = m27 = p3*x25 + p9*x26  + p15*x27 + p21*x28 + p27*x29 + p33*x30;
11514cd38560SBarry Smith         pc[27] = m28 = p4*x25 + p10*x26 + p16*x27 + p22*x28 + p28*x29 + p34*x30;
11524cd38560SBarry Smith         pc[28] = m29 = p5*x25 + p11*x26 + p17*x27 + p23*x28 + p29*x29 + p35*x30;
11534cd38560SBarry Smith         pc[29] = m30 = p6*x25 + p12*x26 + p18*x27 + p24*x28 + p30*x29 + p36*x30;
11544cd38560SBarry Smith 
11554cd38560SBarry Smith         pc[30] = m31 = p1*x31 + p7*x32  + p13*x33 + p19*x34 + p25*x35 + p31*x36;
11564cd38560SBarry Smith         pc[31] = m32 = p2*x31 + p8*x32  + p14*x33 + p20*x34 + p26*x35 + p32*x36;
11574cd38560SBarry Smith         pc[32] = m33 = p3*x31 + p9*x32  + p15*x33 + p21*x34 + p27*x35 + p33*x36;
11584cd38560SBarry Smith         pc[33] = m34 = p4*x31 + p10*x32 + p16*x33 + p22*x34 + p28*x35 + p34*x36;
11594cd38560SBarry Smith         pc[34] = m35 = p5*x31 + p11*x32 + p17*x33 + p23*x34 + p29*x35 + p35*x36;
11604cd38560SBarry Smith         pc[35] = m36 = p6*x31 + p12*x32 + p18*x33 + p24*x34 + p30*x35 + p36*x36;
11614cd38560SBarry Smith 
11624cd38560SBarry Smith         nz = bi[row+1] - diag_offset[row] - 1;
11634cd38560SBarry Smith         pv += 36;
11644cd38560SBarry Smith         for (j=0; j<nz; j++) {
11654cd38560SBarry Smith 	  x1  = pv[0];  x2  = pv[1];  x3  = pv[2];  x4  = pv[3];
11664cd38560SBarry Smith 	  x5  = pv[4];  x6  = pv[5];  x7  = pv[6];  x8  = pv[7];
11674cd38560SBarry Smith 	  x9  = pv[8];  x10 = pv[9];  x11 = pv[10]; x12 = pv[11];
11684cd38560SBarry Smith 	  x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15];
11694cd38560SBarry Smith 	  x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19];
11704cd38560SBarry Smith 	  x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23];
11714cd38560SBarry Smith 	  x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27];
11724cd38560SBarry Smith 	  x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31];
11734cd38560SBarry Smith 	  x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35];
11744cd38560SBarry Smith 	  x    = rtmp + 36*pj[j];
11754cd38560SBarry Smith           x[0]  -= m1*x1  + m7*x2   + m13*x3  + m19*x4  + m25*x5  + m31*x6;
11764cd38560SBarry Smith           x[1]  -= m2*x1  + m8*x2   + m14*x3  + m20*x4  + m26*x5  + m32*x6;
11774cd38560SBarry Smith           x[2]  -= m3*x1  + m9*x2   + m15*x3  + m21*x4  + m27*x5  + m33*x6;
11784cd38560SBarry Smith           x[3]  -= m4*x1  + m10*x2  + m16*x3  + m22*x4  + m28*x5  + m34*x6;
11794cd38560SBarry Smith           x[4]  -= m5*x1  + m11*x2  + m17*x3  + m23*x4  + m29*x5  + m35*x6;
11804cd38560SBarry Smith           x[5]  -= m6*x1  + m12*x2  + m18*x3  + m24*x4  + m30*x5  + m36*x6;
11814cd38560SBarry Smith 
11824cd38560SBarry Smith 	  x[6]  -= m1*x7  + m7*x8   + m13*x9  + m19*x10 + m25*x11 + m31*x12;
11834cd38560SBarry Smith 	  x[7]  -= m2*x7  + m8*x8   + m14*x9  + m20*x10 + m26*x11 + m32*x12;
11844cd38560SBarry Smith 	  x[8]  -= m3*x7  + m9*x8   + m15*x9  + m21*x10 + m27*x11 + m33*x12;
11854cd38560SBarry Smith 	  x[9]  -= m4*x7  + m10*x8  + m16*x9  + m22*x10 + m28*x11 + m34*x12;
11864cd38560SBarry Smith 	  x[10] -= m5*x7  + m11*x8  + m17*x9  + m23*x10 + m29*x11 + m35*x12;
11874cd38560SBarry Smith 	  x[11] -= m6*x7  + m12*x8  + m18*x9  + m24*x10 + m30*x11 + m36*x12;
11884cd38560SBarry Smith 
11894cd38560SBarry Smith 	  x[12] -= m1*x13 + m7*x14  + m13*x15 + m19*x16 + m25*x17 + m31*x18;
11904cd38560SBarry Smith 	  x[13] -= m2*x13 + m8*x14  + m14*x15 + m20*x16 + m26*x17 + m32*x18;
11914cd38560SBarry Smith 	  x[14] -= m3*x13 + m9*x14  + m15*x15 + m21*x16 + m27*x17 + m33*x18;
11924cd38560SBarry Smith 	  x[15] -= m4*x13 + m10*x14 + m16*x15 + m22*x16 + m28*x17 + m34*x18;
11934cd38560SBarry Smith 	  x[16] -= m5*x13 + m11*x14 + m17*x15 + m23*x16 + m29*x17 + m35*x18;
11944cd38560SBarry Smith 	  x[17] -= m6*x13 + m12*x14 + m18*x15 + m24*x16 + m30*x17 + m36*x18;
11954cd38560SBarry Smith 
11964cd38560SBarry Smith 	  x[18] -= m1*x19 + m7*x20  + m13*x21 + m19*x22 + m25*x23 + m31*x24;
11974cd38560SBarry Smith 	  x[19] -= m2*x19 + m8*x20  + m14*x21 + m20*x22 + m26*x23 + m32*x24;
11984cd38560SBarry Smith 	  x[20] -= m3*x19 + m9*x20  + m15*x21 + m21*x22 + m27*x23 + m33*x24;
11994cd38560SBarry Smith 	  x[21] -= m4*x19 + m10*x20 + m16*x21 + m22*x22 + m28*x23 + m34*x24;
12004cd38560SBarry Smith 	  x[22] -= m5*x19 + m11*x20 + m17*x21 + m23*x22 + m29*x23 + m35*x24;
12014cd38560SBarry Smith 	  x[23] -= m6*x19 + m12*x20 + m18*x21 + m24*x22 + m30*x23 + m36*x24;
12024cd38560SBarry Smith 
12034cd38560SBarry Smith 	  x[24] -= m1*x25 + m7*x26  + m13*x27 + m19*x28 + m25*x29 + m31*x30;
12044cd38560SBarry Smith 	  x[25] -= m2*x25 + m8*x26  + m14*x27 + m20*x28 + m26*x29 + m32*x30;
12054cd38560SBarry Smith 	  x[26] -= m3*x25 + m9*x26  + m15*x27 + m21*x28 + m27*x29 + m33*x30;
12064cd38560SBarry Smith 	  x[27] -= m4*x25 + m10*x26 + m16*x27 + m22*x28 + m28*x29 + m34*x30;
12074cd38560SBarry Smith 	  x[28] -= m5*x25 + m11*x26 + m17*x27 + m23*x28 + m29*x29 + m35*x30;
12084cd38560SBarry Smith 	  x[29] -= m6*x25 + m12*x26 + m18*x27 + m24*x28 + m30*x29 + m36*x30;
12094cd38560SBarry Smith 
12104cd38560SBarry Smith 	  x[30] -= m1*x31 + m7*x32  + m13*x33 + m19*x34 + m25*x35 + m31*x36;
12114cd38560SBarry Smith 	  x[31] -= m2*x31 + m8*x32  + m14*x33 + m20*x34 + m26*x35 + m32*x36;
12124cd38560SBarry Smith 	  x[32] -= m3*x31 + m9*x32  + m15*x33 + m21*x34 + m27*x35 + m33*x36;
12134cd38560SBarry Smith 	  x[33] -= m4*x31 + m10*x32 + m16*x33 + m22*x34 + m28*x35 + m34*x36;
12144cd38560SBarry Smith 	  x[34] -= m5*x31 + m11*x32 + m17*x33 + m23*x34 + m29*x35 + m35*x36;
12154cd38560SBarry Smith 	  x[35] -= m6*x31 + m12*x32 + m18*x33 + m24*x34 + m30*x35 + m36*x36;
12164cd38560SBarry Smith 
12174cd38560SBarry Smith           pv   += 36;
12184cd38560SBarry Smith         }
12194cd38560SBarry Smith         PLogFlops(432*nz+396);
12204cd38560SBarry Smith       }
12214cd38560SBarry Smith       row = *ajtmp++;
12224cd38560SBarry Smith     }
12234cd38560SBarry Smith     /* finished row so stick it into b->a */
12244cd38560SBarry Smith     pv = ba + 36*bi[i];
12254cd38560SBarry Smith     pj = bj + bi[i];
12264cd38560SBarry Smith     nz = bi[i+1] - bi[i];
12274cd38560SBarry Smith     for (j=0; j<nz; j++) {
12284cd38560SBarry Smith       x      = rtmp+36*pj[j];
12294cd38560SBarry Smith       pv[0]  = x[0];  pv[1]  = x[1];  pv[2]  = x[2];  pv[3]  = x[3];
12304cd38560SBarry Smith       pv[4]  = x[4];  pv[5]  = x[5];  pv[6]  = x[6];  pv[7]  = x[7];
12314cd38560SBarry Smith       pv[8]  = x[8];  pv[9]  = x[9];  pv[10] = x[10]; pv[11] = x[11];
12324cd38560SBarry Smith       pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15];
12334cd38560SBarry Smith       pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19];
12344cd38560SBarry Smith       pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23];
12354cd38560SBarry Smith       pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27];
12364cd38560SBarry Smith       pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31];
12374cd38560SBarry Smith       pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35];
12384cd38560SBarry Smith       pv   += 36;
12394cd38560SBarry Smith     }
12404cd38560SBarry Smith     /* invert diagonal block */
12414cd38560SBarry Smith     w = ba + 36*diag_offset[i];
12424cd38560SBarry Smith     ierr = Kernel_A_gets_inverse_A_6(w);CHKERRQ(ierr);
12434cd38560SBarry Smith   }
12444cd38560SBarry Smith 
1245606d414cSSatish Balay   ierr = PetscFree(rtmp);CHKERRQ(ierr);
12464cd38560SBarry Smith   C->factor    = FACTOR_LU;
12474cd38560SBarry Smith   C->assembled = PETSC_TRUE;
12484cd38560SBarry Smith   PLogFlops(1.3333*216*b->mbs); /* from inverting diagonal blocks */
12494cd38560SBarry Smith   PetscFunctionReturn(0);
12504cd38560SBarry Smith }
12514cd38560SBarry Smith 
12524cd38560SBarry Smith /* ------------------------------------------------------------*/
12534cd38560SBarry Smith /*
12546d84be18SBarry Smith       Version for when blocks are 5 by 5
12556d84be18SBarry Smith */
12565615d1e5SSatish Balay #undef __FUNC__
1257b2863d3aSBarry Smith #define __FUNC__ /*<a name=""></a>*/"MatLUFactorNumeric_SeqBAIJ_5"
12586d84be18SBarry Smith int MatLUFactorNumeric_SeqBAIJ_5(Mat A,Mat *B)
12596d84be18SBarry Smith {
12606d84be18SBarry Smith   Mat         C = *B;
12616d84be18SBarry Smith   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data;
12627cdf2dbbSSatish Balay   IS          isrow = b->row,isicol = b->icol;
12634078e994SBarry Smith   int         *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j;
12648a36c062SBarry Smith   int         *ajtmpold,*ajtmp,nz,row;
1265329f5518SBarry Smith   int         *diag_offset = b->diag,idx,*ai=a->i,*aj=a->j,*pj;
1266329f5518SBarry Smith   MatScalar   *pv,*v,*rtmp,*pc,*w,*x;
12673f1db9ecSBarry Smith   MatScalar   p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4;
12683f1db9ecSBarry Smith   MatScalar   p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16;
12693f1db9ecSBarry Smith   MatScalar   x17,x18,x19,x20,x21,x22,x23,x24,x25,p10,p11,p12,p13,p14;
12703f1db9ecSBarry Smith   MatScalar   p15,p16,p17,p18,p19,p20,p21,p22,p23,p24,p25,m10,m11,m12;
12713f1db9ecSBarry Smith   MatScalar   m13,m14,m15,m16,m17,m18,m19,m20,m21,m22,m23,m24,m25;
12723f1db9ecSBarry Smith   MatScalar   *ba = b->a,*aa = a->a;
12736d84be18SBarry Smith 
12743a40ed3dSBarry Smith   PetscFunctionBegin;
12756d84be18SBarry Smith   ierr  = ISGetIndices(isrow,&r);CHKERRQ(ierr);
12766d84be18SBarry Smith   ierr  = ISGetIndices(isicol,&ic);CHKERRQ(ierr);
12773f1db9ecSBarry Smith   rtmp  = (MatScalar*)PetscMalloc(25*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp);
12786d84be18SBarry Smith 
12796d84be18SBarry Smith   for (i=0; i<n; i++) {
12804078e994SBarry Smith     nz    = bi[i+1] - bi[i];
12814078e994SBarry Smith     ajtmp = bj + bi[i];
12826d84be18SBarry Smith     for  (j=0; j<nz; j++) {
12836d84be18SBarry Smith       x = rtmp+25*ajtmp[j];
12846d84be18SBarry Smith       x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0;
12856d84be18SBarry Smith       x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0;
12866d84be18SBarry Smith       x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = 0.0;
12876d84be18SBarry Smith     }
12886d84be18SBarry Smith     /* load in initial (unfactored row) */
12896d84be18SBarry Smith     idx      = r[i];
12904078e994SBarry Smith     nz       = ai[idx+1] - ai[idx];
12914078e994SBarry Smith     ajtmpold = aj + ai[idx];
12924078e994SBarry Smith     v        = aa + 25*ai[idx];
12936d84be18SBarry Smith     for (j=0; j<nz; j++) {
12946d84be18SBarry Smith       x    = rtmp+25*ic[ajtmpold[j]];
12956d84be18SBarry Smith       x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3];
12966d84be18SBarry Smith       x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8];
12976d84be18SBarry Smith       x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; x[12] = v[12]; x[13] = v[13];
12986d84be18SBarry Smith       x[14] = v[14]; x[15] = v[15]; x[16] = v[16]; x[17] = v[17];
12996d84be18SBarry Smith       x[18] = v[18]; x[19] = v[19]; x[20] = v[20]; x[21] = v[21];
13006d84be18SBarry Smith       x[22] = v[22]; x[23] = v[23]; x[24] = v[24];
13016d84be18SBarry Smith       v    += 25;
13026d84be18SBarry Smith     }
13036d84be18SBarry Smith     row = *ajtmp++;
13046d84be18SBarry Smith     while (row < i) {
13056d84be18SBarry Smith       pc = rtmp + 25*row;
13066d84be18SBarry Smith       p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3];
13076d84be18SBarry Smith       p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8];
13086d84be18SBarry Smith       p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; p13 = pc[12]; p14 = pc[13];
13096d84be18SBarry Smith       p15 = pc[14]; p16 = pc[15]; p17 = pc[16]; p18 = pc[17]; p19 = pc[18];
13106d84be18SBarry Smith       p20 = pc[19]; p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23];
13116d84be18SBarry Smith       p25 = pc[24];
13126d84be18SBarry Smith       if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 ||
13136d84be18SBarry Smith           p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 ||
13146d84be18SBarry Smith           p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0
13156d84be18SBarry Smith           || p16 != 0.0 || p17 != 0.0 || p18 != 0.0 || p19 != 0.0 ||
13166d84be18SBarry Smith           p20 != 0.0 || p21 != 0.0 || p22 != 0.0 || p23 != 0.0 ||
13174078e994SBarry Smith           p24 != 0.0 || p25 != 0.0) {
13184078e994SBarry Smith         pv = ba + 25*diag_offset[row];
13194078e994SBarry Smith         pj = bj + diag_offset[row] + 1;
13206d84be18SBarry Smith         x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3];
13216d84be18SBarry Smith         x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8];
13226d84be18SBarry Smith         x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; x14 = pv[13];
13236d84be18SBarry Smith         x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; x18 = pv[17];
13246d84be18SBarry Smith         x19 = pv[18]; x20 = pv[19]; x21 = pv[20]; x22 = pv[21];
13256d84be18SBarry Smith         x23 = pv[22]; x24 = pv[23]; x25 = pv[24];
13266d84be18SBarry Smith         pc[0] = m1 = p1*x1 + p6*x2  + p11*x3 + p16*x4 + p21*x5;
13276d84be18SBarry Smith         pc[1] = m2 = p2*x1 + p7*x2  + p12*x3 + p17*x4 + p22*x5;
13286d84be18SBarry Smith         pc[2] = m3 = p3*x1 + p8*x2  + p13*x3 + p18*x4 + p23*x5;
13296d84be18SBarry Smith         pc[3] = m4 = p4*x1 + p9*x2  + p14*x3 + p19*x4 + p24*x5;
13306d84be18SBarry Smith         pc[4] = m5 = p5*x1 + p10*x2 + p15*x3 + p20*x4 + p25*x5;
13316d84be18SBarry Smith 
13326d84be18SBarry Smith         pc[5] = m6 = p1*x6 + p6*x7  + p11*x8 + p16*x9 + p21*x10;
13336d84be18SBarry Smith         pc[6] = m7 = p2*x6 + p7*x7  + p12*x8 + p17*x9 + p22*x10;
13346d84be18SBarry Smith         pc[7] = m8 = p3*x6 + p8*x7  + p13*x8 + p18*x9 + p23*x10;
13356d84be18SBarry Smith         pc[8] = m9 = p4*x6 + p9*x7  + p14*x8 + p19*x9 + p24*x10;
13366d84be18SBarry Smith         pc[9] = m10 = p5*x6 + p10*x7 + p15*x8 + p20*x9 + p25*x10;
13376d84be18SBarry Smith 
13386d84be18SBarry Smith         pc[10] = m11 = p1*x11 + p6*x12  + p11*x13 + p16*x14 + p21*x15;
13396d84be18SBarry Smith         pc[11] = m12 = p2*x11 + p7*x12  + p12*x13 + p17*x14 + p22*x15;
13406d84be18SBarry Smith         pc[12] = m13 = p3*x11 + p8*x12  + p13*x13 + p18*x14 + p23*x15;
13416d84be18SBarry Smith         pc[13] = m14 = p4*x11 + p9*x12  + p14*x13 + p19*x14 + p24*x15;
13426d84be18SBarry Smith         pc[14] = m15 = p5*x11 + p10*x12 + p15*x13 + p20*x14 + p25*x15;
13436d84be18SBarry Smith 
13446d84be18SBarry Smith         pc[15] = m16 = p1*x16 + p6*x17  + p11*x18 + p16*x19 + p21*x20;
13456d84be18SBarry Smith         pc[16] = m17 = p2*x16 + p7*x17  + p12*x18 + p17*x19 + p22*x20;
13466d84be18SBarry Smith         pc[17] = m18 = p3*x16 + p8*x17  + p13*x18 + p18*x19 + p23*x20;
13476d84be18SBarry Smith         pc[18] = m19 = p4*x16 + p9*x17  + p14*x18 + p19*x19 + p24*x20;
13486d84be18SBarry Smith         pc[19] = m20 = p5*x16 + p10*x17 + p15*x18 + p20*x19 + p25*x20;
13496d84be18SBarry Smith 
13506d84be18SBarry Smith         pc[20] = m21 = p1*x21 + p6*x22  + p11*x23 + p16*x24 + p21*x25;
13516d84be18SBarry Smith         pc[21] = m22 = p2*x21 + p7*x22  + p12*x23 + p17*x24 + p22*x25;
13526d84be18SBarry Smith         pc[22] = m23 = p3*x21 + p8*x22  + p13*x23 + p18*x24 + p23*x25;
13536d84be18SBarry Smith         pc[23] = m24 = p4*x21 + p9*x22  + p14*x23 + p19*x24 + p24*x25;
13546d84be18SBarry Smith         pc[24] = m25 = p5*x21 + p10*x22 + p15*x23 + p20*x24 + p25*x25;
13556d84be18SBarry Smith 
13564078e994SBarry Smith         nz = bi[row+1] - diag_offset[row] - 1;
13576d84be18SBarry Smith         pv += 25;
13586d84be18SBarry Smith         for (j=0; j<nz; j++) {
13596d84be18SBarry Smith           x1   = pv[0];  x2 = pv[1];   x3  = pv[2];  x4  = pv[3];
13606d84be18SBarry Smith           x5   = pv[4];  x6 = pv[5];   x7  = pv[6];  x8  = pv[7]; x9 = pv[8];
13616d84be18SBarry Smith           x10  = pv[9];  x11 = pv[10]; x12 = pv[11]; x13 = pv[12];
13626d84be18SBarry Smith           x14  = pv[13]; x15 = pv[14]; x16 = pv[15]; x17 = pv[16];
13636d84be18SBarry Smith           x18  = pv[17]; x19 = pv[18]; x20 = pv[19]; x21 = pv[20];
13646d84be18SBarry Smith           x22  = pv[21]; x23 = pv[22]; x24 = pv[23]; x25 = pv[24];
13656d84be18SBarry Smith           x    = rtmp + 25*pj[j];
13666d84be18SBarry Smith           x[0] -= m1*x1 + m6*x2  + m11*x3 + m16*x4 + m21*x5;
13676d84be18SBarry Smith           x[1] -= m2*x1 + m7*x2  + m12*x3 + m17*x4 + m22*x5;
13686d84be18SBarry Smith           x[2] -= m3*x1 + m8*x2  + m13*x3 + m18*x4 + m23*x5;
13696d84be18SBarry Smith           x[3] -= m4*x1 + m9*x2  + m14*x3 + m19*x4 + m24*x5;
13706d84be18SBarry Smith           x[4] -= m5*x1 + m10*x2 + m15*x3 + m20*x4 + m25*x5;
13716d84be18SBarry Smith 
13726d84be18SBarry Smith           x[5] -= m1*x6 + m6*x7  + m11*x8 + m16*x9 + m21*x10;
13736d84be18SBarry Smith           x[6] -= m2*x6 + m7*x7  + m12*x8 + m17*x9 + m22*x10;
13746d84be18SBarry Smith           x[7] -= m3*x6 + m8*x7  + m13*x8 + m18*x9 + m23*x10;
13756d84be18SBarry Smith           x[8] -= m4*x6 + m9*x7  + m14*x8 + m19*x9 + m24*x10;
13766d84be18SBarry Smith           x[9] -= m5*x6 + m10*x7 + m15*x8 + m20*x9 + m25*x10;
13776d84be18SBarry Smith 
13786d84be18SBarry Smith           x[10] -= m1*x11 + m6*x12  + m11*x13 + m16*x14 + m21*x15;
13796d84be18SBarry Smith           x[11] -= m2*x11 + m7*x12  + m12*x13 + m17*x14 + m22*x15;
13806d84be18SBarry Smith           x[12] -= m3*x11 + m8*x12  + m13*x13 + m18*x14 + m23*x15;
13816d84be18SBarry Smith           x[13] -= m4*x11 + m9*x12  + m14*x13 + m19*x14 + m24*x15;
13826d84be18SBarry Smith           x[14] -= m5*x11 + m10*x12 + m15*x13 + m20*x14 + m25*x15;
13836d84be18SBarry Smith 
13846d84be18SBarry Smith           x[15] -= m1*x16 + m6*x17  + m11*x18 + m16*x19 + m21*x20;
13856d84be18SBarry Smith           x[16] -= m2*x16 + m7*x17  + m12*x18 + m17*x19 + m22*x20;
13866d84be18SBarry Smith           x[17] -= m3*x16 + m8*x17  + m13*x18 + m18*x19 + m23*x20;
13876d84be18SBarry Smith           x[18] -= m4*x16 + m9*x17  + m14*x18 + m19*x19 + m24*x20;
13886d84be18SBarry Smith           x[19] -= m5*x16 + m10*x17 + m15*x18 + m20*x19 + m25*x20;
13896d84be18SBarry Smith 
13906d84be18SBarry Smith           x[20] -= m1*x21 + m6*x22  + m11*x23 + m16*x24 + m21*x25;
13916d84be18SBarry Smith           x[21] -= m2*x21 + m7*x22  + m12*x23 + m17*x24 + m22*x25;
13926d84be18SBarry Smith           x[22] -= m3*x21 + m8*x22  + m13*x23 + m18*x24 + m23*x25;
13936d84be18SBarry Smith           x[23] -= m4*x21 + m9*x22  + m14*x23 + m19*x24 + m24*x25;
13946d84be18SBarry Smith           x[24] -= m5*x21 + m10*x22 + m15*x23 + m20*x24 + m25*x25;
13956d84be18SBarry Smith 
13966d84be18SBarry Smith           pv   += 25;
13976d84be18SBarry Smith         }
13986d84be18SBarry Smith         PLogFlops(250*nz+225);
13996d84be18SBarry Smith       }
14006d84be18SBarry Smith       row = *ajtmp++;
14016d84be18SBarry Smith     }
14026d84be18SBarry Smith     /* finished row so stick it into b->a */
14034078e994SBarry Smith     pv = ba + 25*bi[i];
14044078e994SBarry Smith     pj = bj + bi[i];
14054078e994SBarry Smith     nz = bi[i+1] - bi[i];
14066d84be18SBarry Smith     for (j=0; j<nz; j++) {
14076d84be18SBarry Smith       x     = rtmp+25*pj[j];
14086d84be18SBarry Smith       pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3];
14096d84be18SBarry Smith       pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8];
14106d84be18SBarry Smith       pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; pv[12] = x[12];
14116d84be18SBarry Smith       pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; pv[16] = x[16];
14126d84be18SBarry Smith       pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; pv[20] = x[20];
14136d84be18SBarry Smith       pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; pv[24] = x[24];
14146d84be18SBarry Smith       pv   += 25;
14156d84be18SBarry Smith     }
14166d84be18SBarry Smith     /* invert diagonal block */
14174078e994SBarry Smith     w = ba + 25*diag_offset[i];
14188a36c062SBarry Smith     ierr = Kernel_A_gets_inverse_A_5(w);CHKERRQ(ierr);
14196d84be18SBarry Smith   }
14206d84be18SBarry Smith 
1421606d414cSSatish Balay   ierr = PetscFree(rtmp);CHKERRQ(ierr);
14226d84be18SBarry Smith   ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr);
14236d84be18SBarry Smith   ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr);
14246d84be18SBarry Smith   C->factor = FACTOR_LU;
14256d84be18SBarry Smith   C->assembled = PETSC_TRUE;
14266d84be18SBarry Smith   PLogFlops(1.3333*125*b->mbs); /* from inverting diagonal blocks */
14273a40ed3dSBarry Smith   PetscFunctionReturn(0);
14286d84be18SBarry Smith }
14294cd38560SBarry Smith /*
14304cd38560SBarry Smith       Version for when blocks are 5 by 5 Using natural ordering
14314cd38560SBarry Smith */
14324cd38560SBarry Smith #undef __FUNC__
1433b2863d3aSBarry Smith #define __FUNC__ /*<a name=""></a>*/"MatLUFactorNumeric_SeqBAIJ_5_NaturalOrdering"
14344cd38560SBarry Smith int MatLUFactorNumeric_SeqBAIJ_5_NaturalOrdering(Mat A,Mat *B)
14354cd38560SBarry Smith {
14364cd38560SBarry Smith   Mat         C = *B;
14374cd38560SBarry Smith   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data;
14384cd38560SBarry Smith   int         ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j;
14394cd38560SBarry Smith   int         *ajtmpold,*ajtmp,nz,row;
1440329f5518SBarry Smith   int         *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj;
1441329f5518SBarry Smith   MatScalar   *pv,*v,*rtmp,*pc,*w,*x;
14424cd38560SBarry Smith   MatScalar   x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15;
14434cd38560SBarry Smith   MatScalar   x16,x17,x18,x19,x20,x21,x22,x23,x24,x25;
14444cd38560SBarry Smith   MatScalar   p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15;
14454cd38560SBarry Smith   MatScalar   p16,p17,p18,p19,p20,p21,p22,p23,p24,p25;
14464cd38560SBarry Smith   MatScalar   m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15;
14474cd38560SBarry Smith   MatScalar   m16,m17,m18,m19,m20,m21,m22,m23,m24,m25;
14484cd38560SBarry Smith   MatScalar   *ba = b->a,*aa = a->a;
14494cd38560SBarry Smith 
14504cd38560SBarry Smith   PetscFunctionBegin;
14514cd38560SBarry Smith   rtmp  = (MatScalar*)PetscMalloc(25*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp);
14524cd38560SBarry Smith   for (i=0; i<n; i++) {
14534cd38560SBarry Smith     nz    = bi[i+1] - bi[i];
14544cd38560SBarry Smith     ajtmp = bj + bi[i];
14554cd38560SBarry Smith     for  (j=0; j<nz; j++) {
14564cd38560SBarry Smith       x = rtmp+25*ajtmp[j];
14574cd38560SBarry Smith       x[0]  = x[1]  = x[2]  = x[3]  = x[4]  = x[5]  = x[6] = x[7] = x[8] = x[9] = 0.0;
14584cd38560SBarry Smith       x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = 0.0;
14594cd38560SBarry Smith       x[16] = x[17] = x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = 0.0;
14604cd38560SBarry Smith     }
14614cd38560SBarry Smith     /* load in initial (unfactored row) */
14624cd38560SBarry Smith     nz       = ai[i+1] - ai[i];
14634cd38560SBarry Smith     ajtmpold = aj + ai[i];
14644cd38560SBarry Smith     v        = aa + 25*ai[i];
14654cd38560SBarry Smith     for (j=0; j<nz; j++) {
14664cd38560SBarry Smith       x    = rtmp+25*ajtmpold[j];
14674cd38560SBarry Smith       x[0]  = v[0];  x[1]  = v[1];  x[2]  = v[2];  x[3]  = v[3];
14684cd38560SBarry Smith       x[4]  = v[4];  x[5]  = v[5];  x[6]  = v[6];  x[7]  = v[7];  x[8]  = v[8];
14694cd38560SBarry Smith       x[9]  = v[9];  x[10] = v[10]; x[11] = v[11]; x[12] = v[12]; x[13] = v[13];
14704cd38560SBarry Smith       x[14] = v[14]; x[15] = v[15]; x[16] = v[16]; x[17] = v[17]; x[18] = v[18];
14714cd38560SBarry Smith       x[19] = v[19]; x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23];
14724cd38560SBarry Smith       x[24] = v[24];
14734cd38560SBarry Smith       v    += 25;
14744cd38560SBarry Smith     }
14754cd38560SBarry Smith     row = *ajtmp++;
14764cd38560SBarry Smith     while (row < i) {
14774cd38560SBarry Smith       pc  = rtmp + 25*row;
14784cd38560SBarry Smith       p1  = pc[0];  p2  = pc[1];  p3  = pc[2];  p4  = pc[3];
14794cd38560SBarry Smith       p5  = pc[4];  p6  = pc[5];  p7  = pc[6];  p8  = pc[7];  p9  = pc[8];
14804cd38560SBarry Smith       p10 = pc[9];  p11 = pc[10]; p12 = pc[11]; p13 = pc[12]; p14 = pc[13];
14814cd38560SBarry Smith       p15 = pc[14]; p16 = pc[15]; p17 = pc[16]; p18 = pc[17];
14824cd38560SBarry Smith       p19 = pc[18]; p20 = pc[19]; p21 = pc[20]; p22 = pc[21]; p23 = pc[22];
14834cd38560SBarry Smith       p24 = pc[23]; p25 = pc[24];
14844cd38560SBarry Smith       if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 ||
14854cd38560SBarry Smith           p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 ||
14864cd38560SBarry Smith           p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0
14874cd38560SBarry Smith           || p16 != 0.0 || p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0
14884cd38560SBarry Smith           || p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || p25 != 0.0) {
14894cd38560SBarry Smith         pv = ba + 25*diag_offset[row];
14904cd38560SBarry Smith         pj = bj + diag_offset[row] + 1;
14914cd38560SBarry Smith         x1  = pv[0];  x2  = pv[1];  x3  = pv[2];  x4  = pv[3];
14924cd38560SBarry Smith         x5  = pv[4];  x6  = pv[5];  x7  = pv[6];  x8  = pv[7];  x9  = pv[8];
14934cd38560SBarry Smith         x10 = pv[9];  x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; x14 = pv[13];
14944cd38560SBarry Smith         x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; x18 = pv[17]; x19 = pv[18];
14954cd38560SBarry Smith         x20 = pv[19]; x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23];
14964cd38560SBarry Smith         x25 = pv[24];
14974cd38560SBarry Smith         pc[0] = m1 = p1*x1 + p6*x2  + p11*x3 + p16*x4 + p21*x5;
14984cd38560SBarry Smith         pc[1] = m2 = p2*x1 + p7*x2  + p12*x3 + p17*x4 + p22*x5;
14994cd38560SBarry Smith         pc[2] = m3 = p3*x1 + p8*x2  + p13*x3 + p18*x4 + p23*x5;
15004cd38560SBarry Smith         pc[3] = m4 = p4*x1 + p9*x2  + p14*x3 + p19*x4 + p24*x5;
15014cd38560SBarry Smith         pc[4] = m5 = p5*x1 + p10*x2 + p15*x3 + p20*x4 + p25*x5;
15024cd38560SBarry Smith 
15034cd38560SBarry Smith         pc[5]  = m6  = p1*x6 + p6*x7  + p11*x8 + p16*x9 + p21*x10;
15044cd38560SBarry Smith         pc[6]  = m7  = p2*x6 + p7*x7  + p12*x8 + p17*x9 + p22*x10;
15054cd38560SBarry Smith         pc[7]  = m8  = p3*x6 + p8*x7  + p13*x8 + p18*x9 + p23*x10;
15064cd38560SBarry Smith         pc[8]  = m9  = p4*x6 + p9*x7  + p14*x8 + p19*x9 + p24*x10;
15074cd38560SBarry Smith         pc[9]  = m10 = p5*x6 + p10*x7 + p15*x8 + p20*x9 + p25*x10;
15084cd38560SBarry Smith 
15094cd38560SBarry Smith         pc[10] = m11 = p1*x11 + p6*x12  + p11*x13 + p16*x14 + p21*x15;
15104cd38560SBarry Smith         pc[11] = m12 = p2*x11 + p7*x12  + p12*x13 + p17*x14 + p22*x15;
15114cd38560SBarry Smith         pc[12] = m13 = p3*x11 + p8*x12  + p13*x13 + p18*x14 + p23*x15;
15124cd38560SBarry Smith         pc[13] = m14 = p4*x11 + p9*x12  + p14*x13 + p19*x14 + p24*x15;
15134cd38560SBarry Smith         pc[14] = m15 = p5*x11 + p10*x12 + p15*x13 + p20*x14 + p25*x15;
15144cd38560SBarry Smith 
15154cd38560SBarry Smith         pc[15] = m16 = p1*x16 + p6*x17  + p11*x18 + p16*x19 + p21*x20;
15164cd38560SBarry Smith         pc[16] = m17 = p2*x16 + p7*x17  + p12*x18 + p17*x19 + p22*x20;
15174cd38560SBarry Smith         pc[17] = m18 = p3*x16 + p8*x17  + p13*x18 + p18*x19 + p23*x20;
15184cd38560SBarry Smith         pc[18] = m19 = p4*x16 + p9*x17  + p14*x18 + p19*x19 + p24*x20;
15194cd38560SBarry Smith         pc[19] = m20 = p5*x16 + p10*x17 + p15*x18 + p20*x19 + p25*x20;
15204cd38560SBarry Smith 
15214cd38560SBarry Smith         pc[20] = m21 = p1*x21 + p6*x22  + p11*x23 + p16*x24 + p21*x25;
15224cd38560SBarry Smith         pc[21] = m22 = p2*x21 + p7*x22  + p12*x23 + p17*x24 + p22*x25;
15234cd38560SBarry Smith         pc[22] = m23 = p3*x21 + p8*x22  + p13*x23 + p18*x24 + p23*x25;
15244cd38560SBarry Smith         pc[23] = m24 = p4*x21 + p9*x22  + p14*x23 + p19*x24 + p24*x25;
15254cd38560SBarry Smith         pc[24] = m25 = p5*x21 + p10*x22 + p15*x23 + p20*x24 + p25*x25;
15264cd38560SBarry Smith 
15274cd38560SBarry Smith         nz = bi[row+1] - diag_offset[row] - 1;
15284cd38560SBarry Smith         pv += 25;
15294cd38560SBarry Smith         for (j=0; j<nz; j++) {
15304cd38560SBarry Smith           x1   = pv[0];  x2  = pv[1];   x3 = pv[2];  x4  = pv[3];
15314cd38560SBarry Smith           x5   = pv[4];  x6  = pv[5];   x7 = pv[6];  x8  = pv[7]; x9 = pv[8];
15324cd38560SBarry Smith           x10  = pv[9];  x11 = pv[10]; x12 = pv[11]; x13 = pv[12];
15334cd38560SBarry Smith           x14  = pv[13]; x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; x18 = pv[17];
15344cd38560SBarry Smith           x19 = pv[18];  x20 = pv[19]; x21 = pv[20]; x22 = pv[21]; x23 = pv[22];
15354cd38560SBarry Smith           x24 = pv[23];  x25 = pv[24];
15364cd38560SBarry Smith           x    = rtmp + 25*pj[j];
15374cd38560SBarry Smith           x[0] -= m1*x1 + m6*x2   + m11*x3  + m16*x4 + m21*x5;
15384cd38560SBarry Smith           x[1] -= m2*x1 + m7*x2   + m12*x3  + m17*x4 + m22*x5;
15394cd38560SBarry Smith           x[2] -= m3*x1 + m8*x2   + m13*x3  + m18*x4 + m23*x5;
15404cd38560SBarry Smith           x[3] -= m4*x1 + m9*x2   + m14*x3  + m19*x4 + m24*x5;
15414cd38560SBarry Smith           x[4] -= m5*x1 + m10*x2  + m15*x3  + m20*x4 + m25*x5;
15424cd38560SBarry Smith 
15434cd38560SBarry Smith           x[5] -= m1*x6 + m6*x7   + m11*x8  + m16*x9 + m21*x10;
15444cd38560SBarry Smith           x[6] -= m2*x6 + m7*x7   + m12*x8  + m17*x9 + m22*x10;
15454cd38560SBarry Smith           x[7] -= m3*x6 + m8*x7   + m13*x8  + m18*x9 + m23*x10;
15464cd38560SBarry Smith           x[8] -= m4*x6 + m9*x7   + m14*x8  + m19*x9 + m24*x10;
15474cd38560SBarry Smith           x[9] -= m5*x6 + m10*x7  + m15*x8  + m20*x9 + m25*x10;
15484cd38560SBarry Smith 
15494cd38560SBarry Smith           x[10] -= m1*x11 + m6*x12  + m11*x13 + m16*x14 + m21*x15;
15504cd38560SBarry Smith           x[11] -= m2*x11 + m7*x12  + m12*x13 + m17*x14 + m22*x15;
15514cd38560SBarry Smith           x[12] -= m3*x11 + m8*x12  + m13*x13 + m18*x14 + m23*x15;
15524cd38560SBarry Smith           x[13] -= m4*x11 + m9*x12  + m14*x13 + m19*x14 + m24*x15;
15534cd38560SBarry Smith           x[14] -= m5*x11 + m10*x12 + m15*x13 + m20*x14 + m25*x15;
15544cd38560SBarry Smith 
15554cd38560SBarry Smith           x[15] -= m1*x16 + m6*x17  + m11*x18 + m16*x19 + m21*x20;
15564cd38560SBarry Smith           x[16] -= m2*x16 + m7*x17  + m12*x18 + m17*x19 + m22*x20;
15574cd38560SBarry Smith           x[17] -= m3*x16 + m8*x17  + m13*x18 + m18*x19 + m23*x20;
15584cd38560SBarry Smith           x[18] -= m4*x16 + m9*x17  + m14*x18 + m19*x19 + m24*x20;
15594cd38560SBarry Smith           x[19] -= m5*x16 + m10*x17 + m15*x18 + m20*x19 + m25*x20;
15604cd38560SBarry Smith 
15614cd38560SBarry Smith           x[20] -= m1*x21 + m6*x22  + m11*x23 + m16*x24 + m21*x25;
15624cd38560SBarry Smith           x[21] -= m2*x21 + m7*x22  + m12*x23 + m17*x24 + m22*x25;
15634cd38560SBarry Smith           x[22] -= m3*x21 + m8*x22  + m13*x23 + m18*x24 + m23*x25;
15644cd38560SBarry Smith           x[23] -= m4*x21 + m9*x22  + m14*x23 + m19*x24 + m24*x25;
15654cd38560SBarry Smith           x[24] -= m5*x21 + m10*x22 + m15*x23 + m20*x24 + m25*x25;
15664cd38560SBarry Smith           pv   += 25;
15674cd38560SBarry Smith         }
15684cd38560SBarry Smith         PLogFlops(250*nz+225);
15694cd38560SBarry Smith       }
15704cd38560SBarry Smith       row = *ajtmp++;
15714cd38560SBarry Smith     }
15724cd38560SBarry Smith     /* finished row so stick it into b->a */
15734cd38560SBarry Smith     pv = ba + 25*bi[i];
15744cd38560SBarry Smith     pj = bj + bi[i];
15754cd38560SBarry Smith     nz = bi[i+1] - bi[i];
15764cd38560SBarry Smith     for (j=0; j<nz; j++) {
15774cd38560SBarry Smith       x      = rtmp+25*pj[j];
15784cd38560SBarry Smith       pv[0]  = x[0];  pv[1]  = x[1];  pv[2]  = x[2];  pv[3]  = x[3];
15794cd38560SBarry Smith       pv[4]  = x[4];  pv[5]  = x[5];  pv[6]  = x[6];  pv[7]  = x[7]; pv[8] = x[8];
15804cd38560SBarry Smith       pv[9]  = x[9];  pv[10] = x[10]; pv[11] = x[11]; pv[12] = x[12];
15814cd38560SBarry Smith       pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; pv[16] = x[16]; pv[17] = x[17];
15824cd38560SBarry Smith       pv[18] = x[18]; pv[19] = x[19]; pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22];
15834cd38560SBarry Smith       pv[23] = x[23]; pv[24] = x[24];
15844cd38560SBarry Smith       pv   += 25;
15854cd38560SBarry Smith     }
15864cd38560SBarry Smith     /* invert diagonal block */
15874cd38560SBarry Smith     w = ba + 25*diag_offset[i];
15884cd38560SBarry Smith     ierr = Kernel_A_gets_inverse_A_5(w);CHKERRQ(ierr);
15894cd38560SBarry Smith   }
15904cd38560SBarry Smith 
1591606d414cSSatish Balay   ierr = PetscFree(rtmp);CHKERRQ(ierr);
15924cd38560SBarry Smith   C->factor    = FACTOR_LU;
15934cd38560SBarry Smith   C->assembled = PETSC_TRUE;
15944cd38560SBarry Smith   PLogFlops(1.3333*125*b->mbs); /* from inverting diagonal blocks */
15954cd38560SBarry Smith   PetscFunctionReturn(0);
15964cd38560SBarry Smith }
15976d84be18SBarry Smith 
15986d84be18SBarry Smith /* ------------------------------------------------------------*/
15996d84be18SBarry Smith /*
16006d84be18SBarry Smith       Version for when blocks are 4 by 4
16016d84be18SBarry Smith */
16025615d1e5SSatish Balay #undef __FUNC__
1603b2863d3aSBarry Smith #define __FUNC__ /*<a name=""></a>*/"MatLUFactorNumeric_SeqBAIJ_4"
16046d84be18SBarry Smith int MatLUFactorNumeric_SeqBAIJ_4(Mat A,Mat *B)
16056d84be18SBarry Smith {
16066d84be18SBarry Smith   Mat         C = *B;
16076d84be18SBarry Smith   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data;
16087cdf2dbbSSatish Balay   IS          isrow = b->row,isicol = b->icol;
16094078e994SBarry Smith   int         *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j;
16108a36c062SBarry Smith   int         *ajtmpold,*ajtmp,nz,row;
1611329f5518SBarry Smith   int         *diag_offset = b->diag,idx,*ai=a->i,*aj=a->j,*pj;
1612329f5518SBarry Smith   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__
1745b2863d3aSBarry Smith #define __FUNC__ /*<a name=""></a>*/"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;
1752329f5518SBarry Smith   int         *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj;
1753329f5518SBarry Smith   MatScalar   *pv,*v,*rtmp,*pc,*w,*x;
17543f1db9ecSBarry Smith   MatScalar   p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4;
17553f1db9ecSBarry Smith   MatScalar   p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16;
17563f1db9ecSBarry Smith   MatScalar   p10,p11,p12,p13,p14,p15,p16,m10,m11,m12;
17573f1db9ecSBarry Smith   MatScalar   m13,m14,m15,m16;
17583f1db9ecSBarry Smith   MatScalar   *ba = b->a,*aa = a->a;
175983559355SBarry Smith 
17603a40ed3dSBarry Smith   PetscFunctionBegin;
17613f1db9ecSBarry Smith   rtmp  = (MatScalar*)PetscMalloc(16*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp);
176283559355SBarry Smith 
176383559355SBarry Smith   for (i=0; i<n; i++) {
176483559355SBarry Smith     nz    = bi[i+1] - bi[i];
176583559355SBarry Smith     ajtmp = bj + bi[i];
176683559355SBarry Smith     for  (j=0; j<nz; j++) {
176783559355SBarry Smith       x = rtmp+16*ajtmp[j];
176883559355SBarry Smith       x[0]  = x[1]  = x[2]  = x[3]  = x[4]  = x[5]  = x[6] = x[7] = x[8] = x[9] = 0.0;
176983559355SBarry Smith       x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = 0.0;
177083559355SBarry Smith     }
177183559355SBarry Smith     /* load in initial (unfactored row) */
177283559355SBarry Smith     nz       = ai[i+1] - ai[i];
177383559355SBarry Smith     ajtmpold = aj + ai[i];
177483559355SBarry Smith     v        = aa + 16*ai[i];
177583559355SBarry Smith     for (j=0; j<nz; j++) {
177683559355SBarry Smith       x    = rtmp+16*ajtmpold[j];
177783559355SBarry Smith       x[0]  = v[0];  x[1]  = v[1];  x[2]  = v[2];  x[3]  = v[3];
177883559355SBarry Smith       x[4]  = v[4];  x[5]  = v[5];  x[6]  = v[6];  x[7]  = v[7];  x[8]  = v[8];
177983559355SBarry Smith       x[9]  = v[9];  x[10] = v[10]; x[11] = v[11]; x[12] = v[12]; x[13] = v[13];
178083559355SBarry Smith       x[14] = v[14]; x[15] = v[15];
178183559355SBarry Smith       v    += 16;
178283559355SBarry Smith     }
178383559355SBarry Smith     row = *ajtmp++;
178483559355SBarry Smith     while (row < i) {
178583559355SBarry Smith       pc  = rtmp + 16*row;
178683559355SBarry Smith       p1  = pc[0];  p2  = pc[1];  p3  = pc[2];  p4  = pc[3];
178783559355SBarry Smith       p5  = pc[4];  p6  = pc[5];  p7  = pc[6];  p8  = pc[7];  p9  = pc[8];
178883559355SBarry Smith       p10 = pc[9];  p11 = pc[10]; p12 = pc[11]; p13 = pc[12]; p14 = pc[13];
178983559355SBarry Smith       p15 = pc[14]; p16 = pc[15];
179083559355SBarry Smith       if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 ||
179183559355SBarry Smith           p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 ||
179283559355SBarry Smith           p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0
179383559355SBarry Smith           || p16 != 0.0) {
179483559355SBarry Smith         pv = ba + 16*diag_offset[row];
179583559355SBarry Smith         pj = bj + diag_offset[row] + 1;
179683559355SBarry Smith         x1  = pv[0];  x2  = pv[1];  x3  = pv[2];  x4  = pv[3];
179783559355SBarry Smith         x5  = pv[4];  x6  = pv[5];  x7  = pv[6];  x8  = pv[7];  x9  = pv[8];
179883559355SBarry Smith         x10 = pv[9];  x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; x14 = pv[13];
179983559355SBarry Smith         x15 = pv[14]; x16 = pv[15];
180083559355SBarry Smith         pc[0] = m1 = p1*x1 + p5*x2  + p9*x3  + p13*x4;
180183559355SBarry Smith         pc[1] = m2 = p2*x1 + p6*x2  + p10*x3 + p14*x4;
180283559355SBarry Smith         pc[2] = m3 = p3*x1 + p7*x2  + p11*x3 + p15*x4;
180383559355SBarry Smith         pc[3] = m4 = p4*x1 + p8*x2  + p12*x3 + p16*x4;
180483559355SBarry Smith 
180583559355SBarry Smith         pc[4] = m5 = p1*x5 + p5*x6  + p9*x7  + p13*x8;
180683559355SBarry Smith         pc[5] = m6 = p2*x5 + p6*x6  + p10*x7 + p14*x8;
180783559355SBarry Smith         pc[6] = m7 = p3*x5 + p7*x6  + p11*x7 + p15*x8;
180883559355SBarry Smith         pc[7] = m8 = p4*x5 + p8*x6  + p12*x7 + p16*x8;
180983559355SBarry Smith 
181083559355SBarry Smith         pc[8]  = m9  = p1*x9 + p5*x10  + p9*x11  + p13*x12;
181183559355SBarry Smith         pc[9]  = m10 = p2*x9 + p6*x10  + p10*x11 + p14*x12;
181283559355SBarry Smith         pc[10] = m11 = p3*x9 + p7*x10  + p11*x11 + p15*x12;
181383559355SBarry Smith         pc[11] = m12 = p4*x9 + p8*x10  + p12*x11 + p16*x12;
181483559355SBarry Smith 
181583559355SBarry Smith         pc[12] = m13 = p1*x13 + p5*x14  + p9*x15  + p13*x16;
181683559355SBarry Smith         pc[13] = m14 = p2*x13 + p6*x14  + p10*x15 + p14*x16;
181783559355SBarry Smith         pc[14] = m15 = p3*x13 + p7*x14  + p11*x15 + p15*x16;
181883559355SBarry Smith         pc[15] = m16 = p4*x13 + p8*x14  + p12*x15 + p16*x16;
181983559355SBarry Smith 
182083559355SBarry Smith         nz = bi[row+1] - diag_offset[row] - 1;
182183559355SBarry Smith         pv += 16;
182283559355SBarry Smith         for (j=0; j<nz; j++) {
182383559355SBarry Smith           x1   = pv[0];  x2  = pv[1];   x3 = pv[2];  x4  = pv[3];
182483559355SBarry Smith           x5   = pv[4];  x6  = pv[5];   x7 = pv[6];  x8  = pv[7]; x9 = pv[8];
182583559355SBarry Smith           x10  = pv[9];  x11 = pv[10]; x12 = pv[11]; x13 = pv[12];
182683559355SBarry Smith           x14  = pv[13]; x15 = pv[14]; x16 = pv[15];
182783559355SBarry Smith           x    = rtmp + 16*pj[j];
182883559355SBarry Smith           x[0] -= m1*x1 + m5*x2  + m9*x3  + m13*x4;
182983559355SBarry Smith           x[1] -= m2*x1 + m6*x2  + m10*x3 + m14*x4;
183083559355SBarry Smith           x[2] -= m3*x1 + m7*x2  + m11*x3 + m15*x4;
183183559355SBarry Smith           x[3] -= m4*x1 + m8*x2  + m12*x3 + m16*x4;
183283559355SBarry Smith 
183383559355SBarry Smith           x[4] -= m1*x5 + m5*x6  + m9*x7  + m13*x8;
183483559355SBarry Smith           x[5] -= m2*x5 + m6*x6  + m10*x7 + m14*x8;
183583559355SBarry Smith           x[6] -= m3*x5 + m7*x6  + m11*x7 + m15*x8;
183683559355SBarry Smith           x[7] -= m4*x5 + m8*x6  + m12*x7 + m16*x8;
183783559355SBarry Smith 
183883559355SBarry Smith           x[8]  -= m1*x9 + m5*x10 + m9*x11  + m13*x12;
183983559355SBarry Smith           x[9]  -= m2*x9 + m6*x10 + m10*x11 + m14*x12;
184083559355SBarry Smith           x[10] -= m3*x9 + m7*x10 + m11*x11 + m15*x12;
184183559355SBarry Smith           x[11] -= m4*x9 + m8*x10 + m12*x11 + m16*x12;
184283559355SBarry Smith 
184383559355SBarry Smith           x[12] -= m1*x13 + m5*x14  + m9*x15  + m13*x16;
184483559355SBarry Smith           x[13] -= m2*x13 + m6*x14  + m10*x15 + m14*x16;
184583559355SBarry Smith           x[14] -= m3*x13 + m7*x14  + m11*x15 + m15*x16;
184683559355SBarry Smith           x[15] -= m4*x13 + m8*x14  + m12*x15 + m16*x16;
184783559355SBarry Smith 
184883559355SBarry Smith           pv   += 16;
184983559355SBarry Smith         }
185083559355SBarry Smith         PLogFlops(128*nz+112);
185183559355SBarry Smith       }
185283559355SBarry Smith       row = *ajtmp++;
185383559355SBarry Smith     }
185483559355SBarry Smith     /* finished row so stick it into b->a */
185583559355SBarry Smith     pv = ba + 16*bi[i];
185683559355SBarry Smith     pj = bj + bi[i];
185783559355SBarry Smith     nz = bi[i+1] - bi[i];
185883559355SBarry Smith     for (j=0; j<nz; j++) {
185983559355SBarry Smith       x      = rtmp+16*pj[j];
186083559355SBarry Smith       pv[0]  = x[0];  pv[1]  = x[1];  pv[2]  = x[2];  pv[3]  = x[3];
186183559355SBarry Smith       pv[4]  = x[4];  pv[5]  = x[5];  pv[6]  = x[6];  pv[7]  = x[7]; pv[8] = x[8];
186283559355SBarry Smith       pv[9]  = x[9];  pv[10] = x[10]; pv[11] = x[11]; pv[12] = x[12];
186383559355SBarry Smith       pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15];
186483559355SBarry Smith       pv   += 16;
186583559355SBarry Smith     }
186683559355SBarry Smith     /* invert diagonal block */
186783559355SBarry Smith     w = ba + 16*diag_offset[i];
186883559355SBarry Smith     ierr = Kernel_A_gets_inverse_A_4(w);CHKERRQ(ierr);
186983559355SBarry Smith   }
187083559355SBarry Smith 
1871606d414cSSatish Balay   ierr = PetscFree(rtmp);CHKERRQ(ierr);
187283559355SBarry Smith   C->factor    = FACTOR_LU;
187383559355SBarry Smith   C->assembled = PETSC_TRUE;
187483559355SBarry Smith   PLogFlops(1.3333*64*b->mbs); /* from inverting diagonal blocks */
18753a40ed3dSBarry Smith   PetscFunctionReturn(0);
187683559355SBarry Smith }
187783559355SBarry Smith 
1878667159a5SBarry Smith 
18796d84be18SBarry Smith /* ------------------------------------------------------------*/
18806d84be18SBarry Smith /*
18816d84be18SBarry Smith       Version for when blocks are 3 by 3
18826d84be18SBarry Smith */
18835615d1e5SSatish Balay #undef __FUNC__
1884b2863d3aSBarry Smith #define __FUNC__ /*<a name=""></a>*/"MatLUFactorNumeric_SeqBAIJ_3"
18856d84be18SBarry Smith int MatLUFactorNumeric_SeqBAIJ_3(Mat A,Mat *B)
18866d84be18SBarry Smith {
18876d84be18SBarry Smith   Mat         C = *B;
18886d84be18SBarry Smith   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data;
18897cdf2dbbSSatish Balay   IS          isrow = b->row,isicol = b->icol;
18904078e994SBarry Smith   int         *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j;
1891a3c32e02SBarry Smith   int         *ajtmpold,*ajtmp,nz,row,*ai=a->i,*aj=a->j;
1892329f5518SBarry Smith   int         *diag_offset = b->diag,idx,*pj;
1893329f5518SBarry Smith   MatScalar   *pv,*v,*rtmp,*pc,*w,*x;
18943f1db9ecSBarry Smith   MatScalar   p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4;
18953f1db9ecSBarry Smith   MatScalar   p5,p6,p7,p8,p9,x5,x6,x7,x8,x9;
18963f1db9ecSBarry Smith   MatScalar   *ba = b->a,*aa = a->a;
18976d84be18SBarry Smith 
18983a40ed3dSBarry Smith   PetscFunctionBegin;
18996d84be18SBarry Smith   ierr  = ISGetIndices(isrow,&r);CHKERRQ(ierr);
19006d84be18SBarry Smith   ierr  = ISGetIndices(isicol,&ic);CHKERRQ(ierr);
19013f1db9ecSBarry Smith   rtmp  = (MatScalar*)PetscMalloc(9*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp);
19026d84be18SBarry Smith 
19036d84be18SBarry Smith   for (i=0; i<n; i++) {
19044078e994SBarry Smith     nz    = bi[i+1] - bi[i];
19054078e994SBarry Smith     ajtmp = bj + bi[i];
19066d84be18SBarry Smith     for  (j=0; j<nz; j++) {
19076d84be18SBarry Smith       x = rtmp + 9*ajtmp[j];
19084cd38560SBarry Smith       x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = 0.0;
19096d84be18SBarry Smith     }
19106d84be18SBarry Smith     /* load in initial (unfactored row) */
19116d84be18SBarry Smith     idx      = r[i];
19124078e994SBarry Smith     nz       = ai[idx+1] - ai[idx];
19134078e994SBarry Smith     ajtmpold = aj + ai[idx];
19144078e994SBarry Smith     v        = aa + 9*ai[idx];
19156d84be18SBarry Smith     for (j=0; j<nz; j++) {
19166d84be18SBarry Smith       x    = rtmp + 9*ic[ajtmpold[j]];
19176d84be18SBarry Smith       x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3];
19186d84be18SBarry Smith       x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8];
19196d84be18SBarry Smith       v    += 9;
19206d84be18SBarry Smith     }
19216d84be18SBarry Smith     row = *ajtmp++;
19226d84be18SBarry Smith     while (row < i) {
19236d84be18SBarry Smith       pc = rtmp + 9*row;
19246d84be18SBarry Smith       p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3];
19256d84be18SBarry Smith       p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8];
19266d84be18SBarry Smith       if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 ||
19276d84be18SBarry Smith           p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0) {
19284078e994SBarry Smith         pv = ba + 9*diag_offset[row];
19294078e994SBarry Smith         pj = bj + diag_offset[row] + 1;
19306d84be18SBarry Smith         x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3];
19316d84be18SBarry Smith         x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8];
19326d84be18SBarry Smith         pc[0] = m1 = p1*x1 + p4*x2 + p7*x3;
19336d84be18SBarry Smith         pc[1] = m2 = p2*x1 + p5*x2 + p8*x3;
19346d84be18SBarry Smith         pc[2] = m3 = p3*x1 + p6*x2 + p9*x3;
19356d84be18SBarry Smith 
19366d84be18SBarry Smith         pc[3] = m4 = p1*x4 + p4*x5 + p7*x6;
19376d84be18SBarry Smith         pc[4] = m5 = p2*x4 + p5*x5 + p8*x6;
19386d84be18SBarry Smith         pc[5] = m6 = p3*x4 + p6*x5 + p9*x6;
19396d84be18SBarry Smith 
19406d84be18SBarry Smith         pc[6] = m7 = p1*x7 + p4*x8 + p7*x9;
19416d84be18SBarry Smith         pc[7] = m8 = p2*x7 + p5*x8 + p8*x9;
19426d84be18SBarry Smith         pc[8] = m9 = p3*x7 + p6*x8 + p9*x9;
19434078e994SBarry Smith         nz = bi[row+1] - diag_offset[row] - 1;
19446d84be18SBarry Smith         pv += 9;
19456d84be18SBarry Smith         for (j=0; j<nz; j++) {
19466d84be18SBarry Smith           x1   = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3];
19476d84be18SBarry Smith           x5   = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8];
19486d84be18SBarry Smith           x    = rtmp + 9*pj[j];
19496d84be18SBarry Smith           x[0] -= m1*x1 + m4*x2 + m7*x3;
19506d84be18SBarry Smith           x[1] -= m2*x1 + m5*x2 + m8*x3;
19516d84be18SBarry Smith           x[2] -= m3*x1 + m6*x2 + m9*x3;
19526d84be18SBarry Smith 
19536d84be18SBarry Smith           x[3] -= m1*x4 + m4*x5 + m7*x6;
19546d84be18SBarry Smith           x[4] -= m2*x4 + m5*x5 + m8*x6;
19556d84be18SBarry Smith           x[5] -= m3*x4 + m6*x5 + m9*x6;
19566d84be18SBarry Smith 
19576d84be18SBarry Smith           x[6] -= m1*x7 + m4*x8 + m7*x9;
19586d84be18SBarry Smith           x[7] -= m2*x7 + m5*x8 + m8*x9;
19596d84be18SBarry Smith           x[8] -= m3*x7 + m6*x8 + m9*x9;
19606d84be18SBarry Smith           pv   += 9;
19616d84be18SBarry Smith         }
19626d84be18SBarry Smith         PLogFlops(54*nz+36);
19636d84be18SBarry Smith       }
19646d84be18SBarry Smith       row = *ajtmp++;
19656d84be18SBarry Smith     }
19666d84be18SBarry Smith     /* finished row so stick it into b->a */
19674078e994SBarry Smith     pv = ba + 9*bi[i];
19684078e994SBarry Smith     pj = bj + bi[i];
19694078e994SBarry Smith     nz = bi[i+1] - bi[i];
19706d84be18SBarry Smith     for (j=0; j<nz; j++) {
19716d84be18SBarry Smith       x     = rtmp + 9*pj[j];
19726d84be18SBarry Smith       pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3];
19736d84be18SBarry Smith       pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8];
19746d84be18SBarry Smith       pv   += 9;
19756d84be18SBarry Smith     }
19766d84be18SBarry Smith     /* invert diagonal block */
19774078e994SBarry Smith     w = ba + 9*diag_offset[i];
19784078e994SBarry Smith     ierr = Kernel_A_gets_inverse_A_3(w);CHKERRQ(ierr);
19796d84be18SBarry Smith   }
19806d84be18SBarry Smith 
1981606d414cSSatish Balay   ierr = PetscFree(rtmp);CHKERRQ(ierr);
19826d84be18SBarry Smith   ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr);
19836d84be18SBarry Smith   ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr);
19846d84be18SBarry Smith   C->factor = FACTOR_LU;
19856d84be18SBarry Smith   C->assembled = PETSC_TRUE;
19866d84be18SBarry Smith   PLogFlops(1.3333*27*b->mbs); /* from inverting diagonal blocks */
19873a40ed3dSBarry Smith   PetscFunctionReturn(0);
19886d84be18SBarry Smith }
19894cd38560SBarry Smith /*
19904cd38560SBarry Smith       Version for when blocks are 3 by 3 Using natural ordering
19914cd38560SBarry Smith */
19924cd38560SBarry Smith #undef __FUNC__
1993b2863d3aSBarry Smith #define __FUNC__ /*<a name=""></a>*/"MatLUFactorNumeric_SeqBAIJ_3_NaturalOrdering"
19944cd38560SBarry Smith int MatLUFactorNumeric_SeqBAIJ_3_NaturalOrdering(Mat A,Mat *B)
19954cd38560SBarry Smith {
19964cd38560SBarry Smith   Mat                C = *B;
19974cd38560SBarry Smith   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data;
19984cd38560SBarry Smith   int                ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j;
19994cd38560SBarry Smith   int                *ajtmpold,*ajtmp,nz,row;
2000329f5518SBarry Smith   int                *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj;
2001329f5518SBarry Smith   MatScalar          *pv,*v,*rtmp,*pc,*w,*x;
20024cd38560SBarry Smith   MatScalar          p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4;
20034cd38560SBarry Smith   MatScalar          p5,p6,p7,p8,p9,x5,x6,x7,x8,x9;
20044cd38560SBarry Smith   MatScalar          *ba = b->a,*aa = a->a;
20054cd38560SBarry Smith 
20064cd38560SBarry Smith   PetscFunctionBegin;
20074cd38560SBarry Smith   rtmp  = (MatScalar*)PetscMalloc(9*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp);
20084cd38560SBarry Smith 
20094cd38560SBarry Smith   for (i=0; i<n; i++) {
20104cd38560SBarry Smith     nz    = bi[i+1] - bi[i];
20114cd38560SBarry Smith     ajtmp = bj + bi[i];
20124cd38560SBarry Smith     for  (j=0; j<nz; j++) {
20134cd38560SBarry Smith       x = rtmp+9*ajtmp[j];
20144cd38560SBarry Smith       x[0]  = x[1]  = x[2]  = x[3]  = x[4]  = x[5]  = x[6] = x[7] = x[8] = 0.0;
20154cd38560SBarry Smith     }
20164cd38560SBarry Smith     /* load in initial (unfactored row) */
20174cd38560SBarry Smith     nz       = ai[i+1] - ai[i];
20184cd38560SBarry Smith     ajtmpold = aj + ai[i];
20194cd38560SBarry Smith     v        = aa + 9*ai[i];
20204cd38560SBarry Smith     for (j=0; j<nz; j++) {
20214cd38560SBarry Smith       x    = rtmp+9*ajtmpold[j];
20224cd38560SBarry Smith       x[0]  = v[0];  x[1]  = v[1];  x[2]  = v[2];  x[3]  = v[3];
20234cd38560SBarry Smith       x[4]  = v[4];  x[5]  = v[5];  x[6]  = v[6];  x[7]  = v[7];  x[8]  = v[8];
20244cd38560SBarry Smith       v    += 9;
20254cd38560SBarry Smith     }
20264cd38560SBarry Smith     row = *ajtmp++;
20274cd38560SBarry Smith     while (row < i) {
20284cd38560SBarry Smith       pc  = rtmp + 9*row;
20294cd38560SBarry Smith       p1  = pc[0];  p2  = pc[1];  p3  = pc[2];  p4  = pc[3];
20304cd38560SBarry Smith       p5  = pc[4];  p6  = pc[5];  p7  = pc[6];  p8  = pc[7];  p9  = pc[8];
20314cd38560SBarry Smith       if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 ||
20324cd38560SBarry Smith           p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0) {
20334cd38560SBarry Smith         pv = ba + 9*diag_offset[row];
20344cd38560SBarry Smith         pj = bj + diag_offset[row] + 1;
20354cd38560SBarry Smith         x1  = pv[0];  x2  = pv[1];  x3  = pv[2];  x4  = pv[3];
20364cd38560SBarry Smith         x5  = pv[4];  x6  = pv[5];  x7  = pv[6];  x8  = pv[7];  x9  = pv[8];
20374cd38560SBarry Smith         pc[0] = m1 = p1*x1 + p4*x2 + p7*x3;
20384cd38560SBarry Smith         pc[1] = m2 = p2*x1 + p5*x2 + p8*x3;
20394cd38560SBarry Smith         pc[2] = m3 = p3*x1 + p6*x2 + p9*x3;
20404cd38560SBarry Smith 
20414cd38560SBarry Smith         pc[3] = m4 = p1*x4 + p4*x5 + p7*x6;
20424cd38560SBarry Smith         pc[4] = m5 = p2*x4 + p5*x5 + p8*x6;
20434cd38560SBarry Smith         pc[5] = m6 = p3*x4 + p6*x5 + p9*x6;
20444cd38560SBarry Smith 
20454cd38560SBarry Smith         pc[6] = m7 = p1*x7 + p4*x8 + p7*x9;
20464cd38560SBarry Smith         pc[7] = m8 = p2*x7 + p5*x8 + p8*x9;
20474cd38560SBarry Smith         pc[8] = m9 = p3*x7 + p6*x8 + p9*x9;
20484cd38560SBarry Smith 
20494cd38560SBarry Smith         nz = bi[row+1] - diag_offset[row] - 1;
20504cd38560SBarry Smith         pv += 9;
20514cd38560SBarry Smith         for (j=0; j<nz; j++) {
20524cd38560SBarry Smith           x1   = pv[0];  x2  = pv[1];   x3 = pv[2];  x4  = pv[3];
20534cd38560SBarry Smith           x5   = pv[4];  x6  = pv[5];   x7 = pv[6];  x8  = pv[7]; x9 = pv[8];
20544cd38560SBarry Smith           x    = rtmp + 9*pj[j];
20554cd38560SBarry Smith           x[0] -= m1*x1 + m4*x2 + m7*x3;
20564cd38560SBarry Smith           x[1] -= m2*x1 + m5*x2 + m8*x3;
20574cd38560SBarry Smith           x[2] -= m3*x1 + m6*x2 + m9*x3;
20584cd38560SBarry Smith 
20594cd38560SBarry Smith           x[3] -= m1*x4 + m4*x5 + m7*x6;
20604cd38560SBarry Smith           x[4] -= m2*x4 + m5*x5 + m8*x6;
20614cd38560SBarry Smith           x[5] -= m3*x4 + m6*x5 + m9*x6;
20624cd38560SBarry Smith 
20634cd38560SBarry Smith           x[6] -= m1*x7 + m4*x8 + m7*x9;
20644cd38560SBarry Smith           x[7] -= m2*x7 + m5*x8 + m8*x9;
20654cd38560SBarry Smith           x[8] -= m3*x7 + m6*x8 + m9*x9;
20664cd38560SBarry Smith           pv   += 9;
20674cd38560SBarry Smith         }
20684cd38560SBarry Smith         PLogFlops(54*nz+36);
20694cd38560SBarry Smith       }
20704cd38560SBarry Smith       row = *ajtmp++;
20714cd38560SBarry Smith     }
20724cd38560SBarry Smith     /* finished row so stick it into b->a */
20734cd38560SBarry Smith     pv = ba + 9*bi[i];
20744cd38560SBarry Smith     pj = bj + bi[i];
20754cd38560SBarry Smith     nz = bi[i+1] - bi[i];
20764cd38560SBarry Smith     for (j=0; j<nz; j++) {
20774cd38560SBarry Smith       x      = rtmp+9*pj[j];
20784cd38560SBarry Smith       pv[0]  = x[0];  pv[1]  = x[1];  pv[2]  = x[2];  pv[3]  = x[3];
20794cd38560SBarry Smith       pv[4]  = x[4];  pv[5]  = x[5];  pv[6]  = x[6];  pv[7]  = x[7]; pv[8] = x[8];
20804cd38560SBarry Smith       pv   += 9;
20814cd38560SBarry Smith     }
20824cd38560SBarry Smith     /* invert diagonal block */
20834cd38560SBarry Smith     w = ba + 9*diag_offset[i];
20844cd38560SBarry Smith     ierr = Kernel_A_gets_inverse_A_3(w);CHKERRQ(ierr);
20854cd38560SBarry Smith   }
20864cd38560SBarry Smith 
2087606d414cSSatish Balay   ierr = PetscFree(rtmp);CHKERRQ(ierr);
20884cd38560SBarry Smith   C->factor    = FACTOR_LU;
20894cd38560SBarry Smith   C->assembled = PETSC_TRUE;
20904cd38560SBarry Smith   PLogFlops(1.3333*27*b->mbs); /* from inverting diagonal blocks */
20914cd38560SBarry Smith   PetscFunctionReturn(0);
20924cd38560SBarry Smith }
20936d84be18SBarry Smith 
20946d84be18SBarry Smith /* ------------------------------------------------------------*/
20956d84be18SBarry Smith /*
20964eeb42bcSBarry Smith       Version for when blocks are 2 by 2
20974eeb42bcSBarry Smith */
20985615d1e5SSatish Balay #undef __FUNC__
2099b2863d3aSBarry Smith #define __FUNC__ /*<a name=""></a>*/"MatLUFactorNumeric_SeqBAIJ_2"
21004eeb42bcSBarry Smith int MatLUFactorNumeric_SeqBAIJ_2(Mat A,Mat *B)
21014eeb42bcSBarry Smith {
21024eeb42bcSBarry Smith   Mat                C = *B;
21034eeb42bcSBarry Smith   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data;
21047cdf2dbbSSatish Balay   IS                 isrow = b->row,isicol = b->icol;
21054078e994SBarry Smith   int                *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j;
21062515f8d2SSatish Balay   int                *ajtmpold,*ajtmp,nz,row;
2107329f5518SBarry Smith   int                *diag_offset=b->diag,idx,*ai=a->i,*aj=a->j,*pj;
2108329f5518SBarry Smith   MatScalar          *pv,*v,*rtmp,m1,m2,m3,m4,*pc,*w,*x,x1,x2,x3,x4;
21092515f8d2SSatish Balay   MatScalar          p1,p2,p3,p4;
21103f1db9ecSBarry Smith   MatScalar          *ba = b->a,*aa = a->a;
21114eeb42bcSBarry Smith 
21123a40ed3dSBarry Smith   PetscFunctionBegin;
21134eeb42bcSBarry Smith   ierr  = ISGetIndices(isrow,&r);CHKERRQ(ierr);
21144eeb42bcSBarry Smith   ierr  = ISGetIndices(isicol,&ic);CHKERRQ(ierr);
21153f1db9ecSBarry Smith   rtmp  = (MatScalar*)PetscMalloc(4*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp);
21164eeb42bcSBarry Smith 
21174eeb42bcSBarry Smith   for (i=0; i<n; i++) {
21184078e994SBarry Smith     nz    = bi[i+1] - bi[i];
21194078e994SBarry Smith     ajtmp = bj + bi[i];
21204eeb42bcSBarry Smith     for  (j=0; j<nz; j++) {
21214eeb42bcSBarry Smith       x = rtmp+4*ajtmp[j]; x[0] = x[1] = x[2] = x[3] = 0.0;
21224eeb42bcSBarry Smith     }
21234eeb42bcSBarry Smith     /* load in initial (unfactored row) */
21244eeb42bcSBarry Smith     idx      = r[i];
21254078e994SBarry Smith     nz       = ai[idx+1] - ai[idx];
21264078e994SBarry Smith     ajtmpold = aj + ai[idx];
21274078e994SBarry Smith     v        = aa + 4*ai[idx];
21284eeb42bcSBarry Smith     for (j=0; j<nz; j++) {
21294eeb42bcSBarry Smith       x    = rtmp+4*ic[ajtmpold[j]];
21304eeb42bcSBarry Smith       x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3];
21314eeb42bcSBarry Smith       v    += 4;
21324eeb42bcSBarry Smith     }
21334eeb42bcSBarry Smith     row = *ajtmp++;
21344eeb42bcSBarry Smith     while (row < i) {
21354eeb42bcSBarry Smith       pc = rtmp + 4*row;
21364eeb42bcSBarry Smith       p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3];
213788685aaeSLois Curfman McInnes       if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0) {
21384078e994SBarry Smith         pv = ba + 4*diag_offset[row];
21394078e994SBarry Smith         pj = bj + diag_offset[row] + 1;
21404eeb42bcSBarry Smith         x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3];
21414eeb42bcSBarry Smith         pc[0] = m1 = p1*x1 + p3*x2;
21424eeb42bcSBarry Smith         pc[1] = m2 = p2*x1 + p4*x2;
21434eeb42bcSBarry Smith         pc[2] = m3 = p1*x3 + p3*x4;
21444eeb42bcSBarry Smith         pc[3] = m4 = p2*x3 + p4*x4;
21454078e994SBarry Smith         nz = bi[row+1] - diag_offset[row] - 1;
21464eeb42bcSBarry Smith         pv += 4;
21474eeb42bcSBarry Smith         for (j=0; j<nz; j++) {
21484eeb42bcSBarry Smith           x1   = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3];
21494eeb42bcSBarry Smith           x    = rtmp + 4*pj[j];
21504eeb42bcSBarry Smith           x[0] -= m1*x1 + m3*x2;
21514eeb42bcSBarry Smith           x[1] -= m2*x1 + m4*x2;
21524eeb42bcSBarry Smith           x[2] -= m1*x3 + m3*x4;
21534eeb42bcSBarry Smith           x[3] -= m2*x3 + m4*x4;
21544eeb42bcSBarry Smith           pv   += 4;
21554eeb42bcSBarry Smith         }
21564eeb42bcSBarry Smith         PLogFlops(16*nz+12);
21574eeb42bcSBarry Smith       }
21584eeb42bcSBarry Smith       row = *ajtmp++;
21594eeb42bcSBarry Smith     }
21604eeb42bcSBarry Smith     /* finished row so stick it into b->a */
21614078e994SBarry Smith     pv = ba + 4*bi[i];
21624078e994SBarry Smith     pj = bj + bi[i];
21634078e994SBarry Smith     nz = bi[i+1] - bi[i];
21644eeb42bcSBarry Smith     for (j=0; j<nz; j++) {
21654eeb42bcSBarry Smith       x     = rtmp+4*pj[j];
21664eeb42bcSBarry Smith       pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3];
21674eeb42bcSBarry Smith       pv   += 4;
21684eeb42bcSBarry Smith     }
21694eeb42bcSBarry Smith     /* invert diagonal block */
21704078e994SBarry Smith     w = ba + 4*diag_offset[i];
21714cd38560SBarry Smith     ierr = Kernel_A_gets_inverse_A_2(w);CHKERRQ(ierr);
21724cd38560SBarry Smith     /*Kernel_A_gets_inverse_A(bs,w,v_pivots,v_work);*/
21734eeb42bcSBarry Smith   }
21744eeb42bcSBarry Smith 
2175606d414cSSatish Balay   ierr = PetscFree(rtmp);CHKERRQ(ierr);
21764eeb42bcSBarry Smith   ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr);
21774eeb42bcSBarry Smith   ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr);
21784eeb42bcSBarry Smith   C->factor = FACTOR_LU;
21794eeb42bcSBarry Smith   C->assembled = PETSC_TRUE;
21804eeb42bcSBarry Smith   PLogFlops(1.3333*8*b->mbs); /* from inverting diagonal blocks */
21813a40ed3dSBarry Smith   PetscFunctionReturn(0);
21824eeb42bcSBarry Smith }
21834cd38560SBarry Smith /*
21844cd38560SBarry Smith       Version for when blocks are 2 by 2 Using natural ordering
21854cd38560SBarry Smith */
21864cd38560SBarry Smith #undef __FUNC__
2187b2863d3aSBarry Smith #define __FUNC__ /*<a name=""></a>*/"MatLUFactorNumeric_SeqBAIJ_2_NaturalOrdering"
21884cd38560SBarry Smith int MatLUFactorNumeric_SeqBAIJ_2_NaturalOrdering(Mat A,Mat *B)
21894cd38560SBarry Smith {
21904cd38560SBarry Smith   Mat                C = *B;
21914cd38560SBarry Smith   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data;
21924cd38560SBarry Smith   int                ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j;
21932515f8d2SSatish Balay   int                *ajtmpold,*ajtmp,nz,row;
2194329f5518SBarry Smith   int                *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj;
2195329f5518SBarry Smith   MatScalar          *pv,*v,*rtmp,*pc,*w,*x;
21962515f8d2SSatish Balay   MatScalar          p1,p2,p3,p4,m1,m2,m3,m4,x1,x2,x3,x4;
21974cd38560SBarry Smith   MatScalar          *ba = b->a,*aa = a->a;
21984cd38560SBarry Smith 
21994cd38560SBarry Smith   PetscFunctionBegin;
22004cd38560SBarry Smith   rtmp  = (MatScalar*)PetscMalloc(4*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp);
22014cd38560SBarry Smith 
22024cd38560SBarry Smith   for (i=0; i<n; i++) {
22034cd38560SBarry Smith     nz    = bi[i+1] - bi[i];
22044cd38560SBarry Smith     ajtmp = bj + bi[i];
22054cd38560SBarry Smith     for  (j=0; j<nz; j++) {
22064cd38560SBarry Smith       x = rtmp+4*ajtmp[j];
22074cd38560SBarry Smith       x[0]  = x[1]  = x[2]  = x[3]  = 0.0;
22084cd38560SBarry Smith     }
22094cd38560SBarry Smith     /* load in initial (unfactored row) */
22104cd38560SBarry Smith     nz       = ai[i+1] - ai[i];
22114cd38560SBarry Smith     ajtmpold = aj + ai[i];
22124cd38560SBarry Smith     v        = aa + 4*ai[i];
22134cd38560SBarry Smith     for (j=0; j<nz; j++) {
22144cd38560SBarry Smith       x    = rtmp+4*ajtmpold[j];
22154cd38560SBarry Smith       x[0]  = v[0];  x[1]  = v[1];  x[2]  = v[2];  x[3]  = v[3];
22164cd38560SBarry Smith       v    += 4;
22174cd38560SBarry Smith     }
22184cd38560SBarry Smith     row = *ajtmp++;
22194cd38560SBarry Smith     while (row < i) {
22204cd38560SBarry Smith       pc  = rtmp + 4*row;
22214cd38560SBarry Smith       p1  = pc[0];  p2  = pc[1];  p3  = pc[2];  p4  = pc[3];
22224cd38560SBarry Smith       if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0) {
22234cd38560SBarry Smith         pv = ba + 4*diag_offset[row];
22244cd38560SBarry Smith         pj = bj + diag_offset[row] + 1;
22254cd38560SBarry Smith         x1  = pv[0];  x2  = pv[1];  x3  = pv[2];  x4  = pv[3];
22264cd38560SBarry Smith         pc[0] = m1 = p1*x1 + p3*x2;
22274cd38560SBarry Smith         pc[1] = m2 = p2*x1 + p4*x2;
22284cd38560SBarry Smith         pc[2] = m3 = p1*x3 + p3*x4;
22294cd38560SBarry Smith         pc[3] = m4 = p2*x3 + p4*x4;
22304cd38560SBarry Smith         nz = bi[row+1] - diag_offset[row] - 1;
22314cd38560SBarry Smith         pv += 4;
22324cd38560SBarry Smith         for (j=0; j<nz; j++) {
22334cd38560SBarry Smith           x1   = pv[0];  x2  = pv[1];   x3 = pv[2];  x4  = pv[3];
22344cd38560SBarry Smith           x    = rtmp + 4*pj[j];
22354cd38560SBarry Smith           x[0] -= m1*x1 + m3*x2;
22364cd38560SBarry Smith           x[1] -= m2*x1 + m4*x2;
22374cd38560SBarry Smith           x[2] -= m1*x3 + m3*x4;
22384cd38560SBarry Smith           x[3] -= m2*x3 + m4*x4;
22394cd38560SBarry Smith           pv   += 4;
22404cd38560SBarry Smith         }
22414cd38560SBarry Smith         PLogFlops(16*nz+12);
22424cd38560SBarry Smith       }
22434cd38560SBarry Smith       row = *ajtmp++;
22444cd38560SBarry Smith     }
22454cd38560SBarry Smith     /* finished row so stick it into b->a */
22464cd38560SBarry Smith     pv = ba + 4*bi[i];
22474cd38560SBarry Smith     pj = bj + bi[i];
22484cd38560SBarry Smith     nz = bi[i+1] - bi[i];
22494cd38560SBarry Smith     for (j=0; j<nz; j++) {
22504cd38560SBarry Smith       x      = rtmp+4*pj[j];
22514cd38560SBarry Smith       pv[0]  = x[0];  pv[1]  = x[1];  pv[2]  = x[2];  pv[3]  = x[3];
22524cd38560SBarry Smith       pv   += 4;
22534cd38560SBarry Smith     }
22544cd38560SBarry Smith     /* invert diagonal block */
22554cd38560SBarry Smith     w = ba + 4*diag_offset[i];
22564cd38560SBarry Smith     ierr = Kernel_A_gets_inverse_A_2(w);CHKERRQ(ierr);
22574cd38560SBarry Smith     /*Kernel_A_gets_inverse_A(bs,w,v_pivots,v_work);*/
22584cd38560SBarry Smith   }
22594cd38560SBarry Smith 
2260606d414cSSatish Balay   ierr = PetscFree(rtmp);CHKERRQ(ierr);
22614cd38560SBarry Smith   C->factor    = FACTOR_LU;
22624cd38560SBarry Smith   C->assembled = PETSC_TRUE;
22634cd38560SBarry Smith   PLogFlops(1.3333*8*b->mbs); /* from inverting diagonal blocks */
22644cd38560SBarry Smith   PetscFunctionReturn(0);
22654cd38560SBarry Smith }
22667fc0212eSBarry Smith 
22677fc0212eSBarry Smith /* ----------------------------------------------------------- */
22687fc0212eSBarry Smith /*
22697fc0212eSBarry Smith      Version for when blocks are 1 by 1.
22707fc0212eSBarry Smith */
22715615d1e5SSatish Balay #undef __FUNC__
2272b2863d3aSBarry Smith #define __FUNC__ /*<a name=""></a>*/"MatLUFactorNumeric_SeqBAIJ_1"
22737fc0212eSBarry Smith int MatLUFactorNumeric_SeqBAIJ_1(Mat A,Mat *B)
22747fc0212eSBarry Smith {
22757fc0212eSBarry Smith   Mat                C = *B;
22767fc0212eSBarry Smith   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data;
22777cdf2dbbSSatish Balay   IS                 isrow = b->row,isicol = b->icol;
22784078e994SBarry Smith   int                *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j;
22794078e994SBarry Smith   int                *ajtmpold,*ajtmp,nz,row,*ai = a->i,*aj = a->j;
2280329f5518SBarry Smith   int                *diag_offset = b->diag,diag,*pj;
2281329f5518SBarry Smith   MatScalar          *pv,*v,*rtmp,multiplier,*pc;
22823f1db9ecSBarry Smith   MatScalar          *ba = b->a,*aa = a->a;
22837fc0212eSBarry Smith 
22843a40ed3dSBarry Smith   PetscFunctionBegin;
22857fc0212eSBarry Smith   ierr  = ISGetIndices(isrow,&r);CHKERRQ(ierr);
22867fc0212eSBarry Smith   ierr  = ISGetIndices(isicol,&ic);CHKERRQ(ierr);
22873f1db9ecSBarry Smith   rtmp  = (MatScalar*)PetscMalloc((n+1)*sizeof(MatScalar));CHKPTRQ(rtmp);
22887fc0212eSBarry Smith 
22897fc0212eSBarry Smith   for (i=0; i<n; i++) {
22904078e994SBarry Smith     nz    = bi[i+1] - bi[i];
22914078e994SBarry Smith     ajtmp = bj + bi[i];
22927fc0212eSBarry Smith     for  (j=0; j<nz; j++) rtmp[ajtmp[j]] = 0.0;
22937fc0212eSBarry Smith 
22947fc0212eSBarry Smith     /* load in initial (unfactored row) */
22954078e994SBarry Smith     nz       = ai[r[i]+1] - ai[r[i]];
22964078e994SBarry Smith     ajtmpold = aj + ai[r[i]];
22974078e994SBarry Smith     v        = aa + ai[r[i]];
22987fc0212eSBarry Smith     for (j=0; j<nz; j++) rtmp[ic[ajtmpold[j]]] =  v[j];
22997fc0212eSBarry Smith 
23007fc0212eSBarry Smith     row = *ajtmp++;
23017fc0212eSBarry Smith     while (row < i) {
23027fc0212eSBarry Smith       pc = rtmp + row;
23037fc0212eSBarry Smith       if (*pc != 0.0) {
23044078e994SBarry Smith         pv         = ba + diag_offset[row];
23054078e994SBarry Smith         pj         = bj + diag_offset[row] + 1;
23067fc0212eSBarry Smith         multiplier = *pc * *pv++;
23077fc0212eSBarry Smith         *pc        = multiplier;
23084078e994SBarry Smith         nz         = bi[row+1] - diag_offset[row] - 1;
23097fc0212eSBarry Smith         for (j=0; j<nz; j++) rtmp[pj[j]] -= multiplier * pv[j];
23104eeb42bcSBarry Smith         PLogFlops(1+2*nz);
23117fc0212eSBarry Smith       }
23127fc0212eSBarry Smith       row = *ajtmp++;
23137fc0212eSBarry Smith     }
23147fc0212eSBarry Smith     /* finished row so stick it into b->a */
23154078e994SBarry Smith     pv = ba + bi[i];
23164078e994SBarry Smith     pj = bj + bi[i];
23174078e994SBarry Smith     nz = bi[i+1] - bi[i];
23187fc0212eSBarry Smith     for (j=0; j<nz; j++) {pv[j] = rtmp[pj[j]];}
23194078e994SBarry Smith     diag = diag_offset[i] - bi[i];
23207fc0212eSBarry Smith     /* check pivot entry for current row */
23217fc0212eSBarry Smith     if (pv[diag] == 0.0) {
2322e3372554SBarry Smith       SETERRQ(PETSC_ERR_MAT_LU_ZRPVT,0,"Zero pivot");
23237fc0212eSBarry Smith     }
23247fc0212eSBarry Smith     pv[diag] = 1.0/pv[diag];
23257fc0212eSBarry Smith   }
23267fc0212eSBarry Smith 
2327606d414cSSatish Balay   ierr = PetscFree(rtmp);CHKERRQ(ierr);
23287fc0212eSBarry Smith   ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr);
23297fc0212eSBarry Smith   ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr);
23307fc0212eSBarry Smith   C->factor    = FACTOR_LU;
23317fc0212eSBarry Smith   C->assembled = PETSC_TRUE;
23327fc0212eSBarry Smith   PLogFlops(b->n);
23333a40ed3dSBarry Smith   PetscFunctionReturn(0);
23347fc0212eSBarry Smith }
23357fc0212eSBarry Smith 
23365d517e7eSBarry Smith /* ----------------------------------------------------------- */
23375615d1e5SSatish Balay #undef __FUNC__
2338*b9b97703SBarry Smith #define __FUNC__ /*<a name="MatLUFactor_SeqBAIJ"></a>*/"MatLUFactor_SeqBAIJ"
2339*b9b97703SBarry Smith int MatLUFactor_SeqBAIJ(Mat A,IS row,IS col,MatLUInfo *info)
23405d517e7eSBarry Smith {
2341ec3a8b7bSBarry Smith   Mat_SeqBAIJ *mat = (Mat_SeqBAIJ*)A->data;
2342329f5518SBarry Smith   int         ierr,refct;
23435d517e7eSBarry Smith   Mat         C;
2344f830108cSBarry Smith   PetscOps    *Abops;
234517642b18SBarry Smith   MatOps      Aops;
23465d517e7eSBarry Smith 
23473a40ed3dSBarry Smith   PetscFunctionBegin;
2348*b9b97703SBarry Smith   ierr = MatLUFactorSymbolic(A,row,col,info,&C);CHKERRQ(ierr);
23497fc0212eSBarry Smith   ierr = MatLUFactorNumeric(A,&C);CHKERRQ(ierr);
23505d517e7eSBarry Smith 
23515d517e7eSBarry Smith   /* free all the data structures from mat */
2352606d414cSSatish Balay   ierr = PetscFree(mat->a);CHKERRQ(ierr);
2353606d414cSSatish Balay   if (!mat->singlemalloc) {
2354606d414cSSatish Balay     ierr = PetscFree(mat->i);CHKERRQ(ierr);
2355606d414cSSatish Balay     ierr = PetscFree(mat->j);CHKERRQ(ierr);
2356606d414cSSatish Balay   }
2357606d414cSSatish Balay   if (mat->diag) {ierr = PetscFree(mat->diag);CHKERRQ(ierr);}
2358606d414cSSatish Balay   if (mat->ilen) {ierr = PetscFree(mat->ilen);CHKERRQ(ierr);}
2359606d414cSSatish Balay   if (mat->imax) {ierr = PetscFree(mat->imax);CHKERRQ(ierr);}
2360606d414cSSatish Balay   if (mat->solve_work) {ierr = PetscFree(mat->solve_work);CHKERRQ(ierr);}
2361606d414cSSatish Balay   if (mat->mult_work) {ierr = PetscFree(mat->mult_work);CHKERRQ(ierr);}
2362e93ccc4dSBarry Smith   if (mat->icol) {ierr = ISDestroy(mat->icol);CHKERRQ(ierr);}
2363606d414cSSatish Balay   ierr = PetscFree(mat);CHKERRQ(ierr);
23645d517e7eSBarry Smith 
236517642b18SBarry Smith   ierr = MapDestroy(A->rmap);CHKERRQ(ierr);
236617642b18SBarry Smith   ierr = MapDestroy(A->cmap);CHKERRQ(ierr);
236717642b18SBarry Smith 
2368f830108cSBarry Smith   /*
2369f830108cSBarry Smith        This is horrible,horrible code. We need to keep the
2370f830108cSBarry Smith     A pointers for the bops and ops but copy everything
2371f830108cSBarry Smith     else from C.
2372f830108cSBarry Smith   */
2373f830108cSBarry Smith   Abops = A->bops;
2374f830108cSBarry Smith   Aops  = A->ops;
2375329f5518SBarry Smith   refct = A->refct;
2376549d3d68SSatish Balay   ierr  = PetscMemcpy(A,C,sizeof(struct _p_Mat));CHKERRQ(ierr);
2377451c4af8SSatish Balay   mat   = (Mat_SeqBAIJ*)A->data;
2378451c4af8SSatish Balay   PLogObjectParent(A,mat->icol);
2379451c4af8SSatish Balay 
2380f830108cSBarry Smith   A->bops  = Abops;
2381f830108cSBarry Smith   A->ops   = Aops;
238227a8da17SBarry Smith   A->qlist = 0;
2383329f5518SBarry Smith   A->refct = refct;
2384c38d4ed2SBarry Smith   /* copy over the type_name and name */
2385c38d4ed2SBarry Smith   ierr     = PetscStrallocpy(C->type_name,&A->type_name);CHKERRQ(ierr);
2386c38d4ed2SBarry Smith   ierr     = PetscStrallocpy(C->name,&A->name);CHKERRQ(ierr);
2387f830108cSBarry Smith 
23885d517e7eSBarry Smith   PetscHeaderDestroy(C);
23893a40ed3dSBarry Smith   PetscFunctionReturn(0);
23905d517e7eSBarry Smith }
23914cd38560SBarry Smith 
23924cd38560SBarry Smith 
23934cd38560SBarry Smith 
2394