xref: /petsc/src/mat/impls/sell/mpi/mmsell.c (revision f4259b3095b7e7c300c2b3c3729548b071684bd7)
1d4002b98SHong Zhang /*
2d4002b98SHong Zhang    Support for the parallel SELL matrix vector multiply
3d4002b98SHong Zhang */
4d4002b98SHong Zhang #include <../src/mat/impls/sell/mpi/mpisell.h>
5d4002b98SHong Zhang #include <petsc/private/isimpl.h>    /* needed because accesses data structure of ISLocalToGlobalMapping directly */
6d4002b98SHong Zhang 
7d4002b98SHong Zhang /*
8d4002b98SHong Zhang    Takes the local part of an already assembled MPISELL matrix
9d4002b98SHong Zhang    and disassembles it. This is to allow new nonzeros into the matrix
10d4002b98SHong Zhang    that require more communication in the matrix vector multiply.
11d4002b98SHong Zhang    Thus certain data-structures must be rebuilt.
12d4002b98SHong Zhang 
13d4002b98SHong Zhang    Kind of slow! But that's what application programmers get when
14d4002b98SHong Zhang    they are sloppy.
15d4002b98SHong Zhang */
16d4002b98SHong Zhang PetscErrorCode MatDisAssemble_MPISELL(Mat A)
17d4002b98SHong Zhang {
18d4002b98SHong Zhang   Mat_MPISELL    *sell=(Mat_MPISELL*)A->data;
19d4002b98SHong Zhang   Mat            B=sell->B,Bnew;
20d4002b98SHong Zhang   Mat_SeqSELL    *Bsell=(Mat_SeqSELL*)B->data;
21d4002b98SHong Zhang   PetscInt       i,j,totalslices,N=A->cmap->N,ec,row;
22d4002b98SHong Zhang   PetscBool      isnonzero;
23d4002b98SHong Zhang   PetscErrorCode ierr;
24d4002b98SHong Zhang 
25d4002b98SHong Zhang   PetscFunctionBegin;
26d4002b98SHong Zhang   /* free stuff related to matrix-vec multiply */
27d4002b98SHong Zhang   ierr = VecGetSize(sell->lvec,&ec);CHKERRQ(ierr); /* needed for PetscLogObjectMemory below */
28d4002b98SHong Zhang   ierr = VecDestroy(&sell->lvec);CHKERRQ(ierr);
29d4002b98SHong Zhang   ierr = VecScatterDestroy(&sell->Mvctx);CHKERRQ(ierr);
30d4002b98SHong Zhang   if (sell->colmap) {
31d4002b98SHong Zhang #if defined(PETSC_USE_CTABLE)
32d4002b98SHong Zhang     ierr = PetscTableDestroy(&sell->colmap);CHKERRQ(ierr);
33d4002b98SHong Zhang #else
34d4002b98SHong Zhang     ierr = PetscFree(sell->colmap);CHKERRQ(ierr);
35d4002b98SHong Zhang     ierr = PetscLogObjectMemory((PetscObject)A,-sell->B->cmap->n*sizeof(PetscInt));CHKERRQ(ierr);
36d4002b98SHong Zhang #endif
37d4002b98SHong Zhang   }
38d4002b98SHong Zhang 
39d4002b98SHong Zhang   /* make sure that B is assembled so we can access its values */
40d4002b98SHong Zhang   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
41d4002b98SHong Zhang   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
42d4002b98SHong Zhang 
43d4002b98SHong Zhang   /* invent new B and copy stuff over */
44d4002b98SHong Zhang   ierr = MatCreate(PETSC_COMM_SELF,&Bnew);CHKERRQ(ierr);
45d4002b98SHong Zhang   ierr = MatSetSizes(Bnew,B->rmap->n,N,B->rmap->n,N);CHKERRQ(ierr);
46d4002b98SHong Zhang   ierr = MatSetBlockSizesFromMats(Bnew,A,A);CHKERRQ(ierr);
47d4002b98SHong Zhang   ierr = MatSetType(Bnew,((PetscObject)B)->type_name);CHKERRQ(ierr);
48d4002b98SHong Zhang   ierr = MatSeqSELLSetPreallocation(Bnew,0,Bsell->rlen);CHKERRQ(ierr);
49b38c15b3SStefano Zampini   if (Bsell->nonew >= 0) { /* Inherit insertion error options (if positive). */
50b38c15b3SStefano Zampini     ((Mat_SeqSELL*)Bnew->data)->nonew = Bsell->nonew;
51b38c15b3SStefano Zampini   }
52d4002b98SHong Zhang 
53d4002b98SHong Zhang   /*
54d4002b98SHong Zhang    Ensure that B's nonzerostate is monotonically increasing.
55d4002b98SHong Zhang    Or should this follow the MatSetValues() loop to preserve B's nonzerstate across a MatDisAssemble() call?
56d4002b98SHong Zhang    */
57d4002b98SHong Zhang   Bnew->nonzerostate = B->nonzerostate;
58d4002b98SHong Zhang 
59d4002b98SHong Zhang   totalslices = B->rmap->n/8+((B->rmap->n & 0x07)?1:0); /* floor(n/8) */
60d4002b98SHong Zhang   for (i=0; i<totalslices; i++) { /* loop over slices */
61d4002b98SHong Zhang     for (j=Bsell->sliidx[i],row=0; j<Bsell->sliidx[i+1]; j++,row=((row+1)&0x07)) {
62d4002b98SHong Zhang       isnonzero = (PetscBool)((j-Bsell->sliidx[i])/8 < Bsell->rlen[8*i+row]);
63d4002b98SHong Zhang       if (isnonzero) {
64d4002b98SHong Zhang         ierr = MatSetValue(Bnew,8*i+row,sell->garray[Bsell->colidx[j]],Bsell->val[j],B->insertmode);CHKERRQ(ierr);
65d4002b98SHong Zhang       }
66d4002b98SHong Zhang     }
67d4002b98SHong Zhang   }
68d4002b98SHong Zhang 
69d4002b98SHong Zhang   ierr = PetscFree(sell->garray);CHKERRQ(ierr);
70d4002b98SHong Zhang   ierr = PetscLogObjectMemory((PetscObject)A,-ec*sizeof(PetscInt));CHKERRQ(ierr);
71d4002b98SHong Zhang   ierr = MatDestroy(&B);CHKERRQ(ierr);
72d4002b98SHong Zhang   ierr = PetscLogObjectParent((PetscObject)A,(PetscObject)Bnew);CHKERRQ(ierr);
73d4002b98SHong Zhang 
74d4002b98SHong Zhang   sell->B          = Bnew;
75d4002b98SHong Zhang   A->was_assembled = PETSC_FALSE;
76d4002b98SHong Zhang   A->assembled     = PETSC_FALSE;
77d4002b98SHong Zhang   PetscFunctionReturn(0);
78d4002b98SHong Zhang }
79d4002b98SHong Zhang 
80d4002b98SHong Zhang PetscErrorCode MatSetUpMultiply_MPISELL(Mat mat)
81d4002b98SHong Zhang {
82d4002b98SHong Zhang   Mat_MPISELL    *sell=(Mat_MPISELL*)mat->data;
83d4002b98SHong Zhang   Mat_SeqSELL    *B=(Mat_SeqSELL*)(sell->B->data);
84d4002b98SHong Zhang   PetscErrorCode ierr;
85d4002b98SHong Zhang   PetscInt       i,j,*bcolidx=B->colidx,ec=0,*garray,totalslices;
86d4002b98SHong Zhang   IS             from,to;
87d4002b98SHong Zhang   Vec            gvec;
88d4002b98SHong Zhang   PetscBool      isnonzero;
89d4002b98SHong Zhang #if defined(PETSC_USE_CTABLE)
90d4002b98SHong Zhang   PetscTable         gid1_lid1;
91d4002b98SHong Zhang   PetscTablePosition tpos;
92d4002b98SHong Zhang   PetscInt           gid,lid;
93d4002b98SHong Zhang #else
94d4002b98SHong Zhang   PetscInt N = mat->cmap->N,*indices;
95d4002b98SHong Zhang #endif
96d4002b98SHong Zhang 
97d4002b98SHong Zhang   PetscFunctionBegin;
98d4002b98SHong Zhang   totalslices = sell->B->rmap->n/8+((sell->B->rmap->n & 0x07)?1:0); /* floor(n/8) */
99d4002b98SHong Zhang 
100d4002b98SHong Zhang   /* ec counts the number of columns that contain nonzeros */
101d4002b98SHong Zhang #if defined(PETSC_USE_CTABLE)
102d4002b98SHong Zhang   /* use a table */
103d4002b98SHong Zhang   ierr = PetscTableCreate(sell->B->rmap->n,mat->cmap->N+1,&gid1_lid1);CHKERRQ(ierr);
104d4002b98SHong Zhang   for (i=0; i<totalslices; i++) { /* loop over slices */
105d4002b98SHong Zhang     for (j=B->sliidx[i]; j<B->sliidx[i+1]; j++) {
106d4002b98SHong Zhang       isnonzero = (PetscBool)((j-B->sliidx[i])/8 < B->rlen[(i<<3)+(j&0x07)]);
107d4002b98SHong Zhang       if (isnonzero) { /* check the mask bit */
108d4002b98SHong Zhang         PetscInt data,gid1 = bcolidx[j] + 1;
109d4002b98SHong Zhang         ierr = PetscTableFind(gid1_lid1,gid1,&data);CHKERRQ(ierr);
110d4002b98SHong Zhang         if (!data) {
111d4002b98SHong Zhang           /* one based table */
112d4002b98SHong Zhang           ierr = PetscTableAdd(gid1_lid1,gid1,++ec,INSERT_VALUES);CHKERRQ(ierr);
113d4002b98SHong Zhang         }
114d4002b98SHong Zhang       }
115d4002b98SHong Zhang     }
116d4002b98SHong Zhang   }
117d4002b98SHong Zhang 
118d4002b98SHong Zhang   /* form array of columns we need */
119d4002b98SHong Zhang   ierr = PetscMalloc1(ec+1,&garray);CHKERRQ(ierr);
120d4002b98SHong Zhang   ierr = PetscTableGetHeadPosition(gid1_lid1,&tpos);CHKERRQ(ierr);
121d4002b98SHong Zhang   while (tpos) {
122d4002b98SHong Zhang     ierr = PetscTableGetNext(gid1_lid1,&tpos,&gid,&lid);CHKERRQ(ierr);
123d4002b98SHong Zhang     gid--;
124d4002b98SHong Zhang     lid--;
125d4002b98SHong Zhang     garray[lid] = gid;
126d4002b98SHong Zhang   }
127d4002b98SHong Zhang   ierr = PetscSortInt(ec,garray);CHKERRQ(ierr); /* sort, and rebuild */
128d4002b98SHong Zhang   ierr = PetscTableRemoveAll(gid1_lid1);CHKERRQ(ierr);
129d4002b98SHong Zhang   for (i=0; i<ec; i++) {
130d4002b98SHong Zhang     ierr = PetscTableAdd(gid1_lid1,garray[i]+1,i+1,INSERT_VALUES);CHKERRQ(ierr);
131d4002b98SHong Zhang   }
132d4002b98SHong Zhang 
133d4002b98SHong Zhang   /* compact out the extra columns in B */
134d4002b98SHong Zhang   for (i=0; i<totalslices; i++) { /* loop over slices */
135d4002b98SHong Zhang     for (j=B->sliidx[i]; j<B->sliidx[i+1]; j++) {
136d4002b98SHong Zhang       isnonzero = (PetscBool)((j-B->sliidx[i])/8 < B->rlen[(i<<3)+(j&0x07)]);
137d4002b98SHong Zhang       if (isnonzero) {
138d4002b98SHong Zhang         PetscInt gid1 = bcolidx[j] + 1;
139d4002b98SHong Zhang         ierr = PetscTableFind(gid1_lid1,gid1,&lid);CHKERRQ(ierr);
140d4002b98SHong Zhang         lid--;
141d4002b98SHong Zhang         bcolidx[j] = lid;
142d4002b98SHong Zhang       }
143d4002b98SHong Zhang     }
144d4002b98SHong Zhang   }
145ca5434daSLawrence Mitchell   ierr = PetscLayoutDestroy(&sell->B->cmap);CHKERRQ(ierr);
146ca5434daSLawrence Mitchell   ierr = PetscLayoutCreateFromSizes(PetscObjectComm((PetscObject)sell->B),ec,ec,1,&sell->B->cmap);CHKERRQ(ierr);
147d4002b98SHong Zhang   ierr = PetscTableDestroy(&gid1_lid1);CHKERRQ(ierr);
148d4002b98SHong Zhang #else
149d4002b98SHong Zhang   /* Make an array as long as the number of columns */
150d4002b98SHong Zhang   ierr = PetscCalloc1(N+1,&indices);CHKERRQ(ierr);
151d4002b98SHong Zhang   /* mark those columns that are in sell->B */
152d4002b98SHong Zhang   for (i=0; i<totalslices; i++) { /* loop over slices */
153d4002b98SHong Zhang     for (j=B->sliidx[i]; j<B->sliidx[i+1]; j++) {
154d4002b98SHong Zhang       isnonzero = (PetscBool)((j-B->sliidx[i])/8 < B->rlen[(i<<3)+(j&0x07)]);
155d4002b98SHong Zhang       if (isnonzero) {
156d4002b98SHong Zhang         if (!indices[bcolidx[j]]) ec++;
157d4002b98SHong Zhang         indices[bcolidx[j]] = 1;
158d4002b98SHong Zhang       }
159d4002b98SHong Zhang     }
160d4002b98SHong Zhang   }
161d4002b98SHong Zhang 
162d4002b98SHong Zhang   /* form array of columns we need */
163d4002b98SHong Zhang   ierr = PetscMalloc1(ec+1,&garray);CHKERRQ(ierr);
164d4002b98SHong Zhang   ec   = 0;
165d4002b98SHong Zhang   for (i=0; i<N; i++) {
166d4002b98SHong Zhang     if (indices[i]) garray[ec++] = i;
167d4002b98SHong Zhang   }
168d4002b98SHong Zhang 
169d4002b98SHong Zhang   /* make indices now point into garray */
170d4002b98SHong Zhang   for (i=0; i<ec; i++) {
171d4002b98SHong Zhang     indices[garray[i]] = i;
172d4002b98SHong Zhang   }
173d4002b98SHong Zhang 
174d4002b98SHong Zhang   /* compact out the extra columns in B */
175d4002b98SHong Zhang   for (i=0; i<totalslices; i++) { /* loop over slices */
176d4002b98SHong Zhang     for (j=B->sliidx[i]; j<B->sliidx[i+1]; j++) {
177d4002b98SHong Zhang       isnonzero = (PetscBool)((j-B->sliidx[i])/8 < B->rlen[(i<<3)+(j&0x07)]);
178d4002b98SHong Zhang       if (isnonzero) bcolidx[j] = indices[bcolidx[j]];
179d4002b98SHong Zhang     }
180d4002b98SHong Zhang   }
181ca5434daSLawrence Mitchell   ierr = PetscLayoutDestroy(&sell->B->cmap);CHKERRQ(ierr);
182ca5434daSLawrence Mitchell   ierr = PetscLayoutCreateFromSizes(PetscObjectComm((PetscObject)sell->B),ec,ec,1,&sell->B->cmap);CHKERRQ(ierr);
183d4002b98SHong Zhang   ierr = PetscFree(indices);CHKERRQ(ierr);
184d4002b98SHong Zhang #endif
185d4002b98SHong Zhang   /* create local vector that is used to scatter into */
186d4002b98SHong Zhang   ierr = VecCreateSeq(PETSC_COMM_SELF,ec,&sell->lvec);CHKERRQ(ierr);
187d4002b98SHong Zhang   /* create two temporary Index sets for build scatter gather */
188a3ebf921SJunchao Zhang   ierr = ISCreateGeneral(PETSC_COMM_SELF,ec,garray,PETSC_COPY_VALUES,&from);CHKERRQ(ierr);
189d4002b98SHong Zhang   ierr = ISCreateStride(PETSC_COMM_SELF,ec,0,1,&to);CHKERRQ(ierr);
190d4002b98SHong Zhang 
191d4002b98SHong Zhang   /* create temporary global vector to generate scatter context */
192d4002b98SHong Zhang   /* This does not allocate the array's memory so is efficient */
193d4002b98SHong Zhang   ierr = VecCreateMPIWithArray(PetscObjectComm((PetscObject)mat),1,mat->cmap->n,mat->cmap->N,NULL,&gvec);CHKERRQ(ierr);
194d4002b98SHong Zhang 
195d4002b98SHong Zhang   /* generate the scatter context */
1969448b7f1SJunchao Zhang   ierr = VecScatterCreate(gvec,from,sell->lvec,to,&sell->Mvctx);CHKERRQ(ierr);
197d4002b98SHong Zhang   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)sell->Mvctx);CHKERRQ(ierr);
198d4002b98SHong Zhang   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)sell->lvec);CHKERRQ(ierr);
199d4002b98SHong Zhang   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)from);CHKERRQ(ierr);
200d4002b98SHong Zhang   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)to);CHKERRQ(ierr);
201d4002b98SHong Zhang 
202d4002b98SHong Zhang   sell->garray = garray;
203d4002b98SHong Zhang 
204d4002b98SHong Zhang   ierr = PetscLogObjectMemory((PetscObject)mat,(ec+1)*sizeof(PetscInt));CHKERRQ(ierr);
205d4002b98SHong Zhang   ierr = ISDestroy(&from);CHKERRQ(ierr);
206d4002b98SHong Zhang   ierr = ISDestroy(&to);CHKERRQ(ierr);
207d4002b98SHong Zhang   ierr = VecDestroy(&gvec);CHKERRQ(ierr);
208d4002b98SHong Zhang   PetscFunctionReturn(0);
209d4002b98SHong Zhang }
210d4002b98SHong Zhang 
211d4002b98SHong Zhang /*      ugly stuff added for Glenn someday we should fix this up */
212*f4259b30SLisandro Dalcin static PetscInt *auglyrmapd = NULL,*auglyrmapo = NULL; /* mapping from the local ordering to the "diagonal" and "off-diagonal" parts of the local matrix */
213*f4259b30SLisandro Dalcin static Vec auglydd          = NULL,auglyoo     = NULL; /* work vectors used to scale the two parts of the local matrix */
214d4002b98SHong Zhang 
215d4002b98SHong Zhang PetscErrorCode MatMPISELLDiagonalScaleLocalSetUp(Mat inA,Vec scale)
216d4002b98SHong Zhang {
217d4002b98SHong Zhang   Mat_MPISELL    *ina=(Mat_MPISELL*)inA->data; /*access private part of matrix */
218d4002b98SHong Zhang   PetscErrorCode ierr;
219d4002b98SHong Zhang   PetscInt       i,n,nt,cstart,cend,no,*garray=ina->garray,*lindices;
220d4002b98SHong Zhang   PetscInt       *r_rmapd,*r_rmapo;
221d4002b98SHong Zhang 
222d4002b98SHong Zhang   PetscFunctionBegin;
223d4002b98SHong Zhang   ierr = MatGetOwnershipRange(inA,&cstart,&cend);CHKERRQ(ierr);
224d4002b98SHong Zhang   ierr = MatGetSize(ina->A,NULL,&n);CHKERRQ(ierr);
225d4002b98SHong Zhang   ierr = PetscCalloc1(inA->rmap->mapping->n+1,&r_rmapd);CHKERRQ(ierr);
226d4002b98SHong Zhang   nt   = 0;
227d4002b98SHong Zhang   for (i=0; i<inA->rmap->mapping->n; i++) {
228d4002b98SHong Zhang     if (inA->rmap->mapping->indices[i] >= cstart && inA->rmap->mapping->indices[i] < cend) {
229d4002b98SHong Zhang       nt++;
230d4002b98SHong Zhang       r_rmapd[i] = inA->rmap->mapping->indices[i] + 1;
231d4002b98SHong Zhang     }
232d4002b98SHong Zhang   }
233d4002b98SHong Zhang   if (nt != n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Hmm nt %D n %D",nt,n);
234d4002b98SHong Zhang   ierr = PetscMalloc1(n+1,&auglyrmapd);CHKERRQ(ierr);
235d4002b98SHong Zhang   for (i=0; i<inA->rmap->mapping->n; i++) {
236d4002b98SHong Zhang     if (r_rmapd[i]) {
237d4002b98SHong Zhang       auglyrmapd[(r_rmapd[i]-1)-cstart] = i;
238d4002b98SHong Zhang     }
239d4002b98SHong Zhang   }
240d4002b98SHong Zhang   ierr = PetscFree(r_rmapd);CHKERRQ(ierr);
241d4002b98SHong Zhang   ierr = VecCreateSeq(PETSC_COMM_SELF,n,&auglydd);CHKERRQ(ierr);
242d4002b98SHong Zhang   ierr = PetscCalloc1(inA->cmap->N+1,&lindices);CHKERRQ(ierr);
243d4002b98SHong Zhang   for (i=0; i<ina->B->cmap->n; i++) {
244d4002b98SHong Zhang     lindices[garray[i]] = i+1;
245d4002b98SHong Zhang   }
246d4002b98SHong Zhang   no   = inA->rmap->mapping->n - nt;
247d4002b98SHong Zhang   ierr = PetscCalloc1(inA->rmap->mapping->n+1,&r_rmapo);CHKERRQ(ierr);
248d4002b98SHong Zhang   nt   = 0;
249d4002b98SHong Zhang   for (i=0; i<inA->rmap->mapping->n; i++) {
250d4002b98SHong Zhang     if (lindices[inA->rmap->mapping->indices[i]]) {
251d4002b98SHong Zhang       nt++;
252d4002b98SHong Zhang       r_rmapo[i] = lindices[inA->rmap->mapping->indices[i]];
253d4002b98SHong Zhang     }
254d4002b98SHong Zhang   }
255d4002b98SHong Zhang   if (nt > no) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Hmm nt %D no %D",nt,n);
256d4002b98SHong Zhang   ierr = PetscFree(lindices);CHKERRQ(ierr);
257d4002b98SHong Zhang   ierr = PetscMalloc1(nt+1,&auglyrmapo);CHKERRQ(ierr);
258d4002b98SHong Zhang   for (i=0; i<inA->rmap->mapping->n; i++) {
259d4002b98SHong Zhang     if (r_rmapo[i]) {
260d4002b98SHong Zhang       auglyrmapo[(r_rmapo[i]-1)] = i;
261d4002b98SHong Zhang     }
262d4002b98SHong Zhang   }
263d4002b98SHong Zhang   ierr = PetscFree(r_rmapo);CHKERRQ(ierr);
264d4002b98SHong Zhang   ierr = VecCreateSeq(PETSC_COMM_SELF,nt,&auglyoo);CHKERRQ(ierr);
265d4002b98SHong Zhang   PetscFunctionReturn(0);
266d4002b98SHong Zhang }
267d4002b98SHong Zhang 
268d4002b98SHong Zhang PetscErrorCode MatDiagonalScaleLocal_MPISELL(Mat A,Vec scale)
269d4002b98SHong Zhang {
270d4002b98SHong Zhang   Mat_MPISELL       *a=(Mat_MPISELL*)A->data; /*access private part of matrix */
271d4002b98SHong Zhang   PetscErrorCode    ierr;
272d4002b98SHong Zhang   PetscInt          n,i;
273d4002b98SHong Zhang   PetscScalar       *d,*o;
274d4002b98SHong Zhang   const PetscScalar *s;
275d4002b98SHong Zhang 
276d4002b98SHong Zhang   PetscFunctionBegin;
277d4002b98SHong Zhang   if (!auglyrmapd) {
278d4002b98SHong Zhang     ierr = MatMPISELLDiagonalScaleLocalSetUp(A,scale);CHKERRQ(ierr);
279d4002b98SHong Zhang   }
280d4002b98SHong Zhang   ierr = VecGetArrayRead(scale,&s);CHKERRQ(ierr);
281d4002b98SHong Zhang   ierr = VecGetLocalSize(auglydd,&n);CHKERRQ(ierr);
282d4002b98SHong Zhang   ierr = VecGetArray(auglydd,&d);CHKERRQ(ierr);
283d4002b98SHong Zhang   for (i=0; i<n; i++) {
284d4002b98SHong Zhang     d[i] = s[auglyrmapd[i]]; /* copy "diagonal" (true local) portion of scale into dd vector */
285d4002b98SHong Zhang   }
286d4002b98SHong Zhang   ierr = VecRestoreArray(auglydd,&d);CHKERRQ(ierr);
287d4002b98SHong Zhang   /* column scale "diagonal" portion of local matrix */
288d4002b98SHong Zhang   ierr = MatDiagonalScale(a->A,NULL,auglydd);CHKERRQ(ierr);
289d4002b98SHong Zhang   ierr = VecGetLocalSize(auglyoo,&n);CHKERRQ(ierr);
290d4002b98SHong Zhang   ierr = VecGetArray(auglyoo,&o);CHKERRQ(ierr);
291d4002b98SHong Zhang   for (i=0; i<n; i++) {
292d4002b98SHong Zhang     o[i] = s[auglyrmapo[i]]; /* copy "off-diagonal" portion of scale into oo vector */
293d4002b98SHong Zhang   }
294d4002b98SHong Zhang   ierr = VecRestoreArrayRead(scale,&s);CHKERRQ(ierr);
295d4002b98SHong Zhang   ierr = VecRestoreArray(auglyoo,&o);CHKERRQ(ierr);
296d4002b98SHong Zhang   /* column scale "off-diagonal" portion of local matrix */
297d4002b98SHong Zhang   ierr = MatDiagonalScale(a->B,NULL,auglyoo);CHKERRQ(ierr);
298d4002b98SHong Zhang   PetscFunctionReturn(0);
299d4002b98SHong Zhang }
300