xref: /petsc/src/mat/impls/sbaij/seq/sbaij.c (revision 1f0e42cf17e8fdc56355134e13a5edcdb6dc1c19)
1 
2 /*
3     Defines the basic matrix operations for the SBAIJ (compressed row)
4   matrix storage format.
5 */
6 #include <../src/mat/impls/baij/seq/baij.h>         /*I "petscmat.h" I*/
7 #include <../src/mat/impls/sbaij/seq/sbaij.h>
8 #include <petscblaslapack.h>
9 
10 #include <../src/mat/impls/sbaij/seq/relax.h>
11 #define USESHORT
12 #include <../src/mat/impls/sbaij/seq/relax.h>
13 
14 extern PetscErrorCode MatSeqSBAIJSetNumericFactorization_inplace(Mat,PetscBool );
15 
16 /*
17      Checks for missing diagonals
18 */
19 #undef __FUNCT__
20 #define __FUNCT__ "MatMissingDiagonal_SeqSBAIJ"
21 PetscErrorCode MatMissingDiagonal_SeqSBAIJ(Mat A,PetscBool  *missing,PetscInt *dd)
22 {
23   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
24   PetscErrorCode ierr;
25   PetscInt       *diag,*jj = a->j,i;
26 
27   PetscFunctionBegin;
28   ierr = MatMarkDiagonal_SeqSBAIJ(A);CHKERRQ(ierr);
29   *missing = PETSC_FALSE;
30   if(A->rmap->n > 0 && !jj) {
31     *missing = PETSC_TRUE;
32     if (dd) *dd = 0;
33     PetscInfo(A,"Matrix has no entries therefore is missing diagonal");
34   } else {
35     diag = a->diag;
36     for (i=0; i<a->mbs; i++) {
37       if (jj[diag[i]] != i) {
38 	*missing    = PETSC_TRUE;
39 	if (dd) *dd = i;
40 	break;
41       }
42     }
43   }
44   PetscFunctionReturn(0);
45 }
46 
47 #undef __FUNCT__
48 #define __FUNCT__ "MatMarkDiagonal_SeqSBAIJ"
49 PetscErrorCode MatMarkDiagonal_SeqSBAIJ(Mat A)
50 {
51   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
52   PetscErrorCode ierr;
53   PetscInt       i;
54 
55   PetscFunctionBegin;
56   if (!a->diag) {
57     ierr = PetscMalloc(a->mbs*sizeof(PetscInt),&a->diag);CHKERRQ(ierr);
58     ierr = PetscLogObjectMemory(A,a->mbs*sizeof(PetscInt));CHKERRQ(ierr);
59     a->free_diag = PETSC_TRUE;
60   }
61   for (i=0; i<a->mbs; i++) a->diag[i] = a->i[i];
62   PetscFunctionReturn(0);
63 }
64 
65 #undef __FUNCT__
66 #define __FUNCT__ "MatGetRowIJ_SeqSBAIJ"
67 static PetscErrorCode MatGetRowIJ_SeqSBAIJ(Mat A,PetscInt oshift,PetscBool  symmetric,PetscBool  blockcompressed,PetscInt *nn,PetscInt *ia[],PetscInt *ja[],PetscBool  *done)
68 {
69   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
70   PetscInt     i,j,n = a->mbs,nz = a->i[n],bs = A->rmap->bs;
71   PetscErrorCode ierr;
72 
73   PetscFunctionBegin;
74   *nn = n;
75   if (!ia) PetscFunctionReturn(0);
76   if (!blockcompressed) {
77     /* malloc & create the natural set of indices */
78     ierr = PetscMalloc2((n+1)*bs,PetscInt,ia,nz*bs,PetscInt,ja);CHKERRQ(ierr);
79     for (i=0; i<n+1; i++) {
80       for (j=0; j<bs; j++) {
81         *ia[i*bs+j] = a->i[i]*bs+j+oshift;
82       }
83     }
84     for (i=0; i<nz; i++) {
85       for (j=0; j<bs; j++) {
86         *ja[i*bs+j] = a->j[i]*bs+j+oshift;
87       }
88     }
89   } else { /* blockcompressed */
90     if (oshift == 1) {
91       /* temporarily add 1 to i and j indices */
92       for (i=0; i<nz; i++) a->j[i]++;
93       for (i=0; i<n+1; i++) a->i[i]++;
94     }
95     *ia = a->i; *ja = a->j;
96   }
97 
98   PetscFunctionReturn(0);
99 }
100 
101 #undef __FUNCT__
102 #define __FUNCT__ "MatRestoreRowIJ_SeqSBAIJ"
103 static PetscErrorCode MatRestoreRowIJ_SeqSBAIJ(Mat A,PetscInt oshift,PetscBool  symmetric,PetscBool  blockcompressed,PetscInt *nn,PetscInt *ia[],PetscInt *ja[],PetscBool  *done)
104 {
105   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
106   PetscInt     i,n = a->mbs,nz = a->i[n];
107   PetscErrorCode ierr;
108 
109   PetscFunctionBegin;
110   if (!ia) PetscFunctionReturn(0);
111 
112   if (!blockcompressed) {
113     ierr = PetscFree2(*ia,*ja);CHKERRQ(ierr);
114   } else if (oshift == 1) { /* blockcompressed */
115     for (i=0; i<nz; i++) a->j[i]--;
116     for (i=0; i<n+1; i++) a->i[i]--;
117   }
118 
119   PetscFunctionReturn(0);
120 }
121 
122 #undef __FUNCT__
123 #define __FUNCT__ "MatDestroy_SeqSBAIJ"
124 PetscErrorCode MatDestroy_SeqSBAIJ(Mat A)
125 {
126   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
127   PetscErrorCode ierr;
128 
129   PetscFunctionBegin;
130 #if defined(PETSC_USE_LOG)
131   PetscLogObjectState((PetscObject)A,"Rows=%D, NZ=%D",A->rmap->N,a->nz);
132 #endif
133   ierr = MatSeqXAIJFreeAIJ(A,&a->a,&a->j,&a->i);CHKERRQ(ierr);
134   if (a->free_diag){ierr = PetscFree(a->diag);CHKERRQ(ierr);}
135   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
136   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
137   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
138   ierr = PetscFree(a->idiag);CHKERRQ(ierr);
139   ierr = PetscFree(a->inode.size);CHKERRQ(ierr);
140   if (a->free_imax_ilen) {ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);}
141   ierr = PetscFree(a->solve_work);CHKERRQ(ierr);
142   ierr = PetscFree(a->sor_work);CHKERRQ(ierr);
143   ierr = PetscFree(a->solves_work);CHKERRQ(ierr);
144   ierr = PetscFree(a->mult_work);CHKERRQ(ierr);
145   ierr = PetscFree(a->saved_values);CHKERRQ(ierr);
146   ierr = PetscFree(a->xtoy);CHKERRQ(ierr);
147   if (a->free_jshort) {ierr = PetscFree(a->jshort);CHKERRQ(ierr);}
148   ierr = PetscFree(a->inew);CHKERRQ(ierr);
149   ierr = MatDestroy(&a->parent);CHKERRQ(ierr);
150   ierr = PetscFree(A->data);CHKERRQ(ierr);
151 
152   ierr = PetscObjectChangeTypeName((PetscObject)A,0);CHKERRQ(ierr);
153   ierr = PetscObjectComposeFunction((PetscObject)A,"MatStoreValues_C","",PETSC_NULL);CHKERRQ(ierr);
154   ierr = PetscObjectComposeFunction((PetscObject)A,"MatRetrieveValues_C","",PETSC_NULL);CHKERRQ(ierr);
155   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqSBAIJSetColumnIndices_C","",PETSC_NULL);CHKERRQ(ierr);
156   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqsbaij_seqaij_C","",PETSC_NULL);CHKERRQ(ierr);
157   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqsbaij_seqbaij_C","",PETSC_NULL);CHKERRQ(ierr);
158   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqSBAIJSetPreallocation_C","",PETSC_NULL);CHKERRQ(ierr);
159   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqsbaij_seqsbstrm_C","",PETSC_NULL);CHKERRQ(ierr);
160   PetscFunctionReturn(0);
161 }
162 
163 #undef __FUNCT__
164 #define __FUNCT__ "MatSetOption_SeqSBAIJ"
165 PetscErrorCode MatSetOption_SeqSBAIJ(Mat A,MatOption op,PetscBool  flg)
166 {
167   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
168   PetscErrorCode ierr;
169 
170   PetscFunctionBegin;
171   switch (op) {
172   case MAT_ROW_ORIENTED:
173     a->roworiented = flg;
174     break;
175   case MAT_KEEP_NONZERO_PATTERN:
176     a->keepnonzeropattern = flg;
177     break;
178   case MAT_NEW_NONZERO_LOCATIONS:
179     a->nonew = (flg ? 0 : 1);
180     break;
181   case MAT_NEW_NONZERO_LOCATION_ERR:
182     a->nonew = (flg ? -1 : 0);
183     break;
184   case MAT_NEW_NONZERO_ALLOCATION_ERR:
185     a->nonew = (flg ? -2 : 0);
186     break;
187   case MAT_UNUSED_NONZERO_LOCATION_ERR:
188     a->nounused = (flg ? -1 : 0);
189     break;
190   case MAT_NEW_DIAGONALS:
191   case MAT_IGNORE_OFF_PROC_ENTRIES:
192   case MAT_USE_HASH_TABLE:
193     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
194     break;
195   case MAT_HERMITIAN:
196     if (!A->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call MatAssemblyEnd() first");
197     if (A->cmap->n < 65536 && A->cmap->bs == 1) {
198       A->ops->mult = MatMult_SeqSBAIJ_1_Hermitian_ushort;
199     } else if (A->cmap->bs == 1) {
200       A->ops->mult = MatMult_SeqSBAIJ_1_Hermitian;
201     } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for Hermitian with block size greater than 1");
202     break;
203   case MAT_SPD:
204     A->spd_set                         = PETSC_TRUE;
205     A->spd                             = flg;
206     if (flg) {
207       A->symmetric                     = PETSC_TRUE;
208       A->structurally_symmetric        = PETSC_TRUE;
209       A->symmetric_set                 = PETSC_TRUE;
210       A->structurally_symmetric_set    = PETSC_TRUE;
211     }
212     break;
213   case MAT_SYMMETRIC:
214   case MAT_STRUCTURALLY_SYMMETRIC:
215   case MAT_SYMMETRY_ETERNAL:
216     if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Matrix must be symmetric");
217     ierr = PetscInfo1(A,"Option %s not relevent\n",MatOptions[op]);CHKERRQ(ierr);
218     break;
219   case MAT_IGNORE_LOWER_TRIANGULAR:
220     a->ignore_ltriangular = flg;
221     break;
222   case MAT_ERROR_LOWER_TRIANGULAR:
223     a->ignore_ltriangular = flg;
224     break;
225   case MAT_GETROW_UPPERTRIANGULAR:
226     a->getrow_utriangular = flg;
227     break;
228   default:
229     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
230   }
231   PetscFunctionReturn(0);
232 }
233 
234 #undef __FUNCT__
235 #define __FUNCT__ "MatGetRow_SeqSBAIJ"
236 PetscErrorCode MatGetRow_SeqSBAIJ(Mat A,PetscInt row,PetscInt *ncols,PetscInt **cols,PetscScalar **v)
237 {
238   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
239   PetscErrorCode ierr;
240   PetscInt       itmp,i,j,k,M,*ai,*aj,bs,bn,bp,*cols_i,bs2;
241   MatScalar      *aa,*aa_i;
242   PetscScalar    *v_i;
243 
244   PetscFunctionBegin;
245   if (A && !a->getrow_utriangular) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatGetRow is not supported for SBAIJ matrix format. Getting the upper triangular part of row, run with -mat_getrow_uppertriangular, call MatSetOption(mat,MAT_GETROW_UPPERTRIANGULAR,PETSC_TRUE) or MatGetRowUpperTriangular()");
246   /* Get the upper triangular part of the row */
247   bs  = A->rmap->bs;
248   ai  = a->i;
249   aj  = a->j;
250   aa  = a->a;
251   bs2 = a->bs2;
252 
253   if (row < 0 || row >= A->rmap->N) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Row %D out of range", row);
254 
255   bn  = row/bs;   /* Block number */
256   bp  = row % bs; /* Block position */
257   M   = ai[bn+1] - ai[bn];
258   *ncols = bs*M;
259 
260   if (v) {
261     *v = 0;
262     if (*ncols) {
263       ierr = PetscMalloc((*ncols+row)*sizeof(PetscScalar),v);CHKERRQ(ierr);
264       for (i=0; i<M; i++) { /* for each block in the block row */
265         v_i  = *v + i*bs;
266         aa_i = aa + bs2*(ai[bn] + i);
267         for (j=bp,k=0; j<bs2; j+=bs,k++) {v_i[k] = aa_i[j];}
268       }
269     }
270   }
271 
272   if (cols) {
273     *cols = 0;
274     if (*ncols) {
275       ierr = PetscMalloc((*ncols+row)*sizeof(PetscInt),cols);CHKERRQ(ierr);
276       for (i=0; i<M; i++) { /* for each block in the block row */
277         cols_i = *cols + i*bs;
278         itmp  = bs*aj[ai[bn] + i];
279         for (j=0; j<bs; j++) {cols_i[j] = itmp++;}
280       }
281     }
282   }
283 
284   /*search column A(0:row-1,row) (=A(row,0:row-1)). Could be expensive! */
285   /* this segment is currently removed, so only entries in the upper triangle are obtained */
286 #ifdef column_search
287   v_i    = *v    + M*bs;
288   cols_i = *cols + M*bs;
289   for (i=0; i<bn; i++){ /* for each block row */
290     M = ai[i+1] - ai[i];
291     for (j=0; j<M; j++){
292       itmp = aj[ai[i] + j];    /* block column value */
293       if (itmp == bn){
294         aa_i   = aa    + bs2*(ai[i] + j) + bs*bp;
295         for (k=0; k<bs; k++) {
296           *cols_i++ = i*bs+k;
297           *v_i++    = aa_i[k];
298         }
299         *ncols += bs;
300         break;
301       }
302     }
303   }
304 #endif
305   PetscFunctionReturn(0);
306 }
307 
308 #undef __FUNCT__
309 #define __FUNCT__ "MatRestoreRow_SeqSBAIJ"
310 PetscErrorCode MatRestoreRow_SeqSBAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
311 {
312   PetscErrorCode ierr;
313 
314   PetscFunctionBegin;
315   if (idx) {ierr = PetscFree(*idx);CHKERRQ(ierr);}
316   if (v)   {ierr = PetscFree(*v);CHKERRQ(ierr);}
317   PetscFunctionReturn(0);
318 }
319 
320 #undef __FUNCT__
321 #define __FUNCT__ "MatGetRowUpperTriangular_SeqSBAIJ"
322 PetscErrorCode MatGetRowUpperTriangular_SeqSBAIJ(Mat A)
323 {
324   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
325 
326   PetscFunctionBegin;
327   a->getrow_utriangular = PETSC_TRUE;
328   PetscFunctionReturn(0);
329 }
330 #undef __FUNCT__
331 #define __FUNCT__ "MatRestoreRowUpperTriangular_SeqSBAIJ"
332 PetscErrorCode MatRestoreRowUpperTriangular_SeqSBAIJ(Mat A)
333 {
334   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
335 
336   PetscFunctionBegin;
337   a->getrow_utriangular = PETSC_FALSE;
338   PetscFunctionReturn(0);
339 }
340 
341 #undef __FUNCT__
342 #define __FUNCT__ "MatTranspose_SeqSBAIJ"
343 PetscErrorCode MatTranspose_SeqSBAIJ(Mat A,MatReuse reuse,Mat *B)
344 {
345   PetscErrorCode ierr;
346   PetscFunctionBegin;
347   if (reuse == MAT_INITIAL_MATRIX || *B != A) {
348     ierr = MatDuplicate(A,MAT_COPY_VALUES,B);CHKERRQ(ierr);
349   }
350   PetscFunctionReturn(0);
351 }
352 
353 #undef __FUNCT__
354 #define __FUNCT__ "MatView_SeqSBAIJ_ASCII"
355 static PetscErrorCode MatView_SeqSBAIJ_ASCII(Mat A,PetscViewer viewer)
356 {
357   Mat_SeqSBAIJ      *a = (Mat_SeqSBAIJ*)A->data;
358   PetscErrorCode    ierr;
359   PetscInt          i,j,bs = A->rmap->bs,k,l,bs2=a->bs2;
360   PetscViewerFormat format;
361   PetscInt          *diag;
362 
363   PetscFunctionBegin;
364   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
365   if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
366     ierr = PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);CHKERRQ(ierr);
367   } else if (format == PETSC_VIEWER_ASCII_MATLAB) {
368     Mat aij;
369     if (A->factortype && bs>1){
370       ierr = PetscPrintf(PETSC_COMM_SELF,"Warning: matrix is factored with bs>1. MatView() with PETSC_VIEWER_ASCII_MATLAB is not supported and ignored!\n");CHKERRQ(ierr);
371       PetscFunctionReturn(0);
372     }
373     ierr = MatConvert(A,MATSEQAIJ,MAT_INITIAL_MATRIX,&aij);CHKERRQ(ierr);
374     ierr = MatView(aij,viewer);CHKERRQ(ierr);
375     ierr = MatDestroy(&aij);CHKERRQ(ierr);
376   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
377     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
378     for (i=0; i<a->mbs; i++) {
379       for (j=0; j<bs; j++) {
380         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i*bs+j);CHKERRQ(ierr);
381         for (k=a->i[i]; k<a->i[i+1]; k++) {
382           for (l=0; l<bs; l++) {
383 #if defined(PETSC_USE_COMPLEX)
384             if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) > 0.0 && PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
385               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %G i) ",bs*a->j[k]+l,
386                                             PetscRealPart(a->a[bs2*k + l*bs + j]),PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
387             } else if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) < 0.0 && PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
388               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %G i) ",bs*a->j[k]+l,
389                                             PetscRealPart(a->a[bs2*k + l*bs + j]),-PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
390             } else if (PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
391               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,PetscRealPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
392             }
393 #else
394             if (a->a[bs2*k + l*bs + j] != 0.0) {
395               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,a->a[bs2*k + l*bs + j]);CHKERRQ(ierr);
396             }
397 #endif
398           }
399         }
400         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
401       }
402     }
403     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
404   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
405      PetscFunctionReturn(0);
406   } else {
407     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
408     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)A,viewer,"Matrix Object");CHKERRQ(ierr);
409     if (A->factortype){ /* for factored matrix */
410       if (bs>1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"matrix is factored with bs>1. Not implemented yet");
411 
412       diag=a->diag;
413       for (i=0; i<a->mbs; i++) { /* for row block i */
414         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
415         /* diagonal entry */
416 #if defined(PETSC_USE_COMPLEX)
417         if (PetscImaginaryPart(a->a[diag[i]]) > 0.0) {
418           ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %G i) ",a->j[diag[i]],PetscRealPart(1.0/a->a[diag[i]]),PetscImaginaryPart(1.0/a->a[diag[i]]));CHKERRQ(ierr);
419         } else if (PetscImaginaryPart(a->a[diag[i]]) < 0.0) {
420           ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %G i) ",a->j[diag[i]],PetscRealPart(1.0/a->a[diag[i]]),-PetscImaginaryPart(1.0/a->a[diag[i]]));CHKERRQ(ierr);
421         } else {
422           ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",a->j[diag[i]],PetscRealPart(1.0/a->a[diag[i]]));CHKERRQ(ierr);
423         }
424 #else
425         ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",a->j[diag[i]],1.0/a->a[diag[i]]);CHKERRQ(ierr);
426 #endif
427         /* off-diagonal entries */
428         for (k=a->i[i]; k<a->i[i+1]-1; k++) {
429 #if defined(PETSC_USE_COMPLEX)
430           if (PetscImaginaryPart(a->a[k]) > 0.0) {
431             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %G i) ",bs*a->j[k],PetscRealPart(a->a[k]),PetscImaginaryPart(a->a[k]));CHKERRQ(ierr);
432           } else if (PetscImaginaryPart(a->a[k]) < 0.0) {
433             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %G i) ",bs*a->j[k],PetscRealPart(a->a[k]),-PetscImaginaryPart(a->a[k]));CHKERRQ(ierr);
434           } else {
435             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k],PetscRealPart(a->a[k]));CHKERRQ(ierr);
436           }
437 #else
438           ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",a->j[k],a->a[k]);CHKERRQ(ierr);
439 #endif
440         }
441         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
442       }
443 
444     } else { /* for non-factored matrix */
445       for (i=0; i<a->mbs; i++) { /* for row block i */
446         for (j=0; j<bs; j++) {   /* for row bs*i + j */
447           ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i*bs+j);CHKERRQ(ierr);
448           for (k=a->i[i]; k<a->i[i+1]; k++) { /* for column block */
449             for (l=0; l<bs; l++) {            /* for column */
450 #if defined(PETSC_USE_COMPLEX)
451               if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) > 0.0) {
452               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %G i) ",bs*a->j[k]+l,
453                                             PetscRealPart(a->a[bs2*k + l*bs + j]),PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
454               } else if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) < 0.0) {
455                 ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %G i) ",bs*a->j[k]+l,
456                                             PetscRealPart(a->a[bs2*k + l*bs + j]),-PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
457               } else {
458                 ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,PetscRealPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
459               }
460 #else
461               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,a->a[bs2*k + l*bs + j]);CHKERRQ(ierr);
462 #endif
463             }
464           }
465           ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
466         }
467       }
468     }
469     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
470   }
471   ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
472   PetscFunctionReturn(0);
473 }
474 
475 #undef __FUNCT__
476 #define __FUNCT__ "MatView_SeqSBAIJ_Draw_Zoom"
477 static PetscErrorCode MatView_SeqSBAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
478 {
479   Mat            A = (Mat) Aa;
480   Mat_SeqSBAIJ   *a=(Mat_SeqSBAIJ*)A->data;
481   PetscErrorCode ierr;
482   PetscInt       row,i,j,k,l,mbs=a->mbs,color,bs=A->rmap->bs,bs2=a->bs2;
483   PetscMPIInt    rank;
484   PetscReal      xl,yl,xr,yr,x_l,x_r,y_l,y_r;
485   MatScalar      *aa;
486   MPI_Comm       comm;
487   PetscViewer    viewer;
488 
489   PetscFunctionBegin;
490   /*
491     This is nasty. If this is called from an originally parallel matrix
492     then all processes call this,but only the first has the matrix so the
493     rest should return immediately.
494   */
495   ierr = PetscObjectGetComm((PetscObject)draw,&comm);CHKERRQ(ierr);
496   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
497   if (rank) PetscFunctionReturn(0);
498 
499   ierr = PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer);CHKERRQ(ierr);
500 
501   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
502   PetscDrawString(draw, .3*(xl+xr), .3*(yl+yr), PETSC_DRAW_BLACK, "symmetric");
503 
504   /* loop over matrix elements drawing boxes */
505   color = PETSC_DRAW_BLUE;
506   for (i=0,row=0; i<mbs; i++,row+=bs) {
507     for (j=a->i[i]; j<a->i[i+1]; j++) {
508       y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
509       x_l = a->j[j]*bs; x_r = x_l + 1.0;
510       aa = a->a + j*bs2;
511       for (k=0; k<bs; k++) {
512         for (l=0; l<bs; l++) {
513           if (PetscRealPart(*aa++) >=  0.) continue;
514           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
515         }
516       }
517     }
518   }
519   color = PETSC_DRAW_CYAN;
520   for (i=0,row=0; i<mbs; i++,row+=bs) {
521     for (j=a->i[i]; j<a->i[i+1]; j++) {
522       y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
523       x_l = a->j[j]*bs; x_r = x_l + 1.0;
524       aa = a->a + j*bs2;
525       for (k=0; k<bs; k++) {
526         for (l=0; l<bs; l++) {
527           if (PetscRealPart(*aa++) != 0.) continue;
528           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
529         }
530       }
531     }
532   }
533 
534   color = PETSC_DRAW_RED;
535   for (i=0,row=0; i<mbs; i++,row+=bs) {
536     for (j=a->i[i]; j<a->i[i+1]; j++) {
537       y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
538       x_l = a->j[j]*bs; x_r = x_l + 1.0;
539       aa = a->a + j*bs2;
540       for (k=0; k<bs; k++) {
541         for (l=0; l<bs; l++) {
542           if (PetscRealPart(*aa++) <= 0.) continue;
543           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
544         }
545       }
546     }
547   }
548   PetscFunctionReturn(0);
549 }
550 
551 #undef __FUNCT__
552 #define __FUNCT__ "MatView_SeqSBAIJ_Draw"
553 static PetscErrorCode MatView_SeqSBAIJ_Draw(Mat A,PetscViewer viewer)
554 {
555   PetscErrorCode ierr;
556   PetscReal      xl,yl,xr,yr,w,h;
557   PetscDraw      draw;
558   PetscBool      isnull;
559 
560   PetscFunctionBegin;
561   ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
562   ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
563 
564   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer);CHKERRQ(ierr);
565   xr  = A->rmap->N; yr = A->rmap->N; h = yr/10.0; w = xr/10.0;
566   xr += w;    yr += h;  xl = -w;     yl = -h;
567   ierr = PetscDrawSetCoordinates(draw,xl,yl,xr,yr);CHKERRQ(ierr);
568   ierr = PetscDrawZoom(draw,MatView_SeqSBAIJ_Draw_Zoom,A);CHKERRQ(ierr);
569   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",PETSC_NULL);CHKERRQ(ierr);
570   PetscFunctionReturn(0);
571 }
572 
573 #undef __FUNCT__
574 #define __FUNCT__ "MatView_SeqSBAIJ"
575 PetscErrorCode MatView_SeqSBAIJ(Mat A,PetscViewer viewer)
576 {
577   PetscErrorCode ierr;
578   PetscBool      iascii,isdraw;
579   FILE           *file = 0;
580 
581   PetscFunctionBegin;
582   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
583   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
584   if (iascii){
585     ierr = MatView_SeqSBAIJ_ASCII(A,viewer);CHKERRQ(ierr);
586   } else if (isdraw) {
587     ierr = MatView_SeqSBAIJ_Draw(A,viewer);CHKERRQ(ierr);
588   } else {
589     Mat B;
590     ierr = MatConvert(A,MATSEQAIJ,MAT_INITIAL_MATRIX,&B);CHKERRQ(ierr);
591     ierr = MatView(B,viewer);CHKERRQ(ierr);
592     ierr = MatDestroy(&B);CHKERRQ(ierr);
593     ierr = PetscViewerBinaryGetInfoPointer(viewer,&file);CHKERRQ(ierr);
594     if (file) {
595       fprintf(file,"-matload_block_size %d\n",(int)A->rmap->bs);
596     }
597   }
598   PetscFunctionReturn(0);
599 }
600 
601 
602 #undef __FUNCT__
603 #define __FUNCT__ "MatGetValues_SeqSBAIJ"
604 PetscErrorCode MatGetValues_SeqSBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],PetscScalar v[])
605 {
606   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
607   PetscInt     *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
608   PetscInt     *ai = a->i,*ailen = a->ilen;
609   PetscInt     brow,bcol,ridx,cidx,bs=A->rmap->bs,bs2=a->bs2;
610   MatScalar    *ap,*aa = a->a;
611 
612   PetscFunctionBegin;
613   for (k=0; k<m; k++) { /* loop over rows */
614     row  = im[k]; brow = row/bs;
615     if (row < 0) {v += n; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",row); */
616     if (row >= A->rmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,A->rmap->N-1);
617     rp   = aj + ai[brow] ; ap = aa + bs2*ai[brow] ;
618     nrow = ailen[brow];
619     for (l=0; l<n; l++) { /* loop over columns */
620       if (in[l] < 0) {v++; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column: %D",in[l]); */
621       if (in[l] >= A->cmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],A->cmap->n-1);
622       col  = in[l] ;
623       bcol = col/bs;
624       cidx = col%bs;
625       ridx = row%bs;
626       high = nrow;
627       low  = 0; /* assume unsorted */
628       while (high-low > 5) {
629         t = (low+high)/2;
630         if (rp[t] > bcol) high = t;
631         else             low  = t;
632       }
633       for (i=low; i<high; i++) {
634         if (rp[i] > bcol) break;
635         if (rp[i] == bcol) {
636           *v++ = ap[bs2*i+bs*cidx+ridx];
637           goto finished;
638         }
639       }
640       *v++ = 0.0;
641       finished:;
642     }
643   }
644   PetscFunctionReturn(0);
645 }
646 
647 
648 #undef __FUNCT__
649 #define __FUNCT__ "MatSetValuesBlocked_SeqSBAIJ"
650 PetscErrorCode MatSetValuesBlocked_SeqSBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
651 {
652   Mat_SeqSBAIJ      *a = (Mat_SeqSBAIJ*)A->data;
653   PetscErrorCode    ierr;
654   PetscInt          *rp,k,low,high,t,ii,jj,row,nrow,i,col,l,rmax,N,lastcol = -1;
655   PetscInt          *imax=a->imax,*ai=a->i,*ailen=a->ilen;
656   PetscInt          *aj=a->j,nonew=a->nonew,bs2=a->bs2,bs=A->rmap->bs,stepval;
657   PetscBool         roworiented=a->roworiented;
658   const PetscScalar *value = v;
659   MatScalar         *ap,*aa = a->a,*bap;
660 
661   PetscFunctionBegin;
662   if (roworiented) {
663     stepval = (n-1)*bs;
664   } else {
665     stepval = (m-1)*bs;
666   }
667   for (k=0; k<m; k++) { /* loop over added rows */
668     row  = im[k];
669     if (row < 0) continue;
670 #if defined(PETSC_USE_DEBUG)
671     if (row >= a->mbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,a->mbs-1);
672 #endif
673     rp   = aj + ai[row];
674     ap   = aa + bs2*ai[row];
675     rmax = imax[row];
676     nrow = ailen[row];
677     low  = 0;
678     high = nrow;
679     for (l=0; l<n; l++) { /* loop over added columns */
680       if (in[l] < 0) continue;
681       col = in[l];
682 #if defined(PETSC_USE_DEBUG)
683       if (col >= a->nbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",col,a->nbs-1);
684 #endif
685       if (col < row) {
686         if (a->ignore_ltriangular) {
687           continue; /* ignore lower triangular block */
688         } else {
689           SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"Lower triangular value cannot be set for sbaij format. Ignoring these values, run with -mat_ignore_lower_triangular or call MatSetOption(mat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE)");
690         }
691       }
692       if (roworiented) {
693         value = v + k*(stepval+bs)*bs + l*bs;
694       } else {
695         value = v + l*(stepval+bs)*bs + k*bs;
696       }
697       if (col <= lastcol) low = 0; else high = nrow;
698       lastcol = col;
699       while (high-low > 7) {
700         t = (low+high)/2;
701         if (rp[t] > col) high = t;
702         else             low  = t;
703       }
704       for (i=low; i<high; i++) {
705         if (rp[i] > col) break;
706         if (rp[i] == col) {
707           bap  = ap +  bs2*i;
708           if (roworiented) {
709             if (is == ADD_VALUES) {
710               for (ii=0; ii<bs; ii++,value+=stepval) {
711                 for (jj=ii; jj<bs2; jj+=bs) {
712                   bap[jj] += *value++;
713                 }
714               }
715             } else {
716               for (ii=0; ii<bs; ii++,value+=stepval) {
717                 for (jj=ii; jj<bs2; jj+=bs) {
718                   bap[jj] = *value++;
719                 }
720                }
721             }
722           } else {
723             if (is == ADD_VALUES) {
724               for (ii=0; ii<bs; ii++,value+=stepval) {
725                 for (jj=0; jj<bs; jj++) {
726                   *bap++ += *value++;
727                 }
728               }
729             } else {
730               for (ii=0; ii<bs; ii++,value+=stepval) {
731                 for (jj=0; jj<bs; jj++) {
732                   *bap++  = *value++;
733                 }
734               }
735             }
736           }
737           goto noinsert2;
738         }
739       }
740       if (nonew == 1) goto noinsert2;
741       if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) in the matrix", row, col);
742       MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
743       N = nrow++ - 1; high++;
744       /* shift up all the later entries in this row */
745       for (ii=N; ii>=i; ii--) {
746         rp[ii+1] = rp[ii];
747         ierr = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
748       }
749       if (N >= i) {
750         ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
751       }
752       rp[i] = col;
753       bap   = ap +  bs2*i;
754       if (roworiented) {
755         for (ii=0; ii<bs; ii++,value+=stepval) {
756           for (jj=ii; jj<bs2; jj+=bs) {
757             bap[jj] = *value++;
758           }
759         }
760       } else {
761         for (ii=0; ii<bs; ii++,value+=stepval) {
762           for (jj=0; jj<bs; jj++) {
763             *bap++  = *value++;
764           }
765         }
766        }
767     noinsert2:;
768       low = i;
769     }
770     ailen[row] = nrow;
771   }
772    PetscFunctionReturn(0);
773 }
774 
775 /*
776     This is not yet used
777 */
778 #undef __FUNCT__
779 #define __FUNCT__ "MatAssemblyEnd_SeqSBAIJ_SeqAIJ_Inode"
780 PetscErrorCode MatAssemblyEnd_SeqSBAIJ_SeqAIJ_Inode(Mat A)
781 {
782   Mat_SeqSBAIJ    *a = (Mat_SeqSBAIJ*)A->data;
783   PetscErrorCode  ierr;
784   const PetscInt  *ai = a->i, *aj = a->j,*cols;
785   PetscInt        i = 0,j,blk_size,m = A->rmap->n,node_count = 0,nzx,nzy,*ns,row,nz,cnt,cnt2,*counts;
786   PetscBool       flag;
787 
788   PetscFunctionBegin;
789   ierr = PetscMalloc(m*sizeof(PetscInt),&ns);CHKERRQ(ierr);
790   while (i < m){
791     nzx = ai[i+1] - ai[i];       /* Number of nonzeros */
792     /* Limits the number of elements in a node to 'a->inode.limit' */
793     for (j=i+1,blk_size=1; j<m && blk_size <a->inode.limit; ++j,++blk_size) {
794       nzy  = ai[j+1] - ai[j];
795       if (nzy != (nzx - j + i)) break;
796       ierr = PetscMemcmp(aj + ai[i] + j - i,aj + ai[j],nzy*sizeof(PetscInt),&flag);CHKERRQ(ierr);
797       if (!flag) break;
798     }
799     ns[node_count++] = blk_size;
800     i = j;
801   }
802   if (!a->inode.size && m && node_count > .9*m) {
803     ierr = PetscFree(ns);CHKERRQ(ierr);
804     ierr = PetscInfo2(A,"Found %D nodes out of %D rows. Not using Inode routines\n",node_count,m);CHKERRQ(ierr);
805   } else {
806     a->inode.node_count = node_count;
807     ierr = PetscMalloc(node_count*sizeof(PetscInt),&a->inode.size);CHKERRQ(ierr);
808     ierr = PetscLogObjectMemory(A,node_count*sizeof(PetscInt));CHKERRQ(ierr);
809     ierr = PetscMemcpy(a->inode.size,ns,node_count*sizeof(PetscInt));
810     ierr = PetscFree(ns);CHKERRQ(ierr);
811     ierr = PetscInfo3(A,"Found %D nodes of %D. Limit used: %D. Using Inode routines\n",node_count,m,a->inode.limit);CHKERRQ(ierr);
812 
813     /* count collections of adjacent columns in each inode */
814     row = 0;
815     cnt = 0;
816     for (i=0; i<node_count; i++) {
817       cols = aj + ai[row] + a->inode.size[i];
818       nz   = ai[row+1] - ai[row] - a->inode.size[i];
819       for (j=1; j<nz; j++) {
820         if (cols[j] != cols[j-1]+1) {
821           cnt++;
822         }
823       }
824       cnt++;
825       row += a->inode.size[i];
826     }
827     ierr = PetscMalloc(2*cnt*sizeof(PetscInt),&counts);CHKERRQ(ierr);
828     cnt = 0;
829     row = 0;
830     for (i=0; i<node_count; i++) {
831       cols          = aj + ai[row] + a->inode.size[i];
832 	  CHKMEMQ;
833       counts[2*cnt] = cols[0];
834 	  CHKMEMQ;
835       nz            = ai[row+1] - ai[row] - a->inode.size[i];
836       cnt2          = 1;
837       for (j=1; j<nz; j++) {
838         if (cols[j] != cols[j-1]+1) {
839 	  CHKMEMQ;
840           counts[2*(cnt++)+1] = cnt2;
841           counts[2*cnt]       = cols[j];
842 	  CHKMEMQ;
843           cnt2                = 1;
844         } else cnt2++;
845       }
846 	  CHKMEMQ;
847       counts[2*(cnt++)+1] = cnt2;
848 	  CHKMEMQ;
849       row += a->inode.size[i];
850     }
851     ierr = PetscIntView(2*cnt,counts,0);
852   }
853   PetscFunctionReturn(0);
854 }
855 
856 #undef __FUNCT__
857 #define __FUNCT__ "MatAssemblyEnd_SeqSBAIJ"
858 PetscErrorCode MatAssemblyEnd_SeqSBAIJ(Mat A,MatAssemblyType mode)
859 {
860   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
861   PetscErrorCode ierr;
862   PetscInt       fshift = 0,i,j,*ai = a->i,*aj = a->j,*imax = a->imax;
863   PetscInt       m = A->rmap->N,*ip,N,*ailen = a->ilen;
864   PetscInt       mbs = a->mbs,bs2 = a->bs2,rmax = 0;
865   MatScalar      *aa = a->a,*ap;
866 
867   PetscFunctionBegin;
868   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
869 
870   if (m) rmax = ailen[0];
871   for (i=1; i<mbs; i++) {
872     /* move each row back by the amount of empty slots (fshift) before it*/
873     fshift += imax[i-1] - ailen[i-1];
874      rmax   = PetscMax(rmax,ailen[i]);
875      if (fshift) {
876        ip = aj + ai[i]; ap = aa + bs2*ai[i];
877        N = ailen[i];
878        for (j=0; j<N; j++) {
879          ip[j-fshift] = ip[j];
880          ierr = PetscMemcpy(ap+(j-fshift)*bs2,ap+j*bs2,bs2*sizeof(MatScalar));CHKERRQ(ierr);
881        }
882      }
883      ai[i] = ai[i-1] + ailen[i-1];
884   }
885   if (mbs) {
886     fshift += imax[mbs-1] - ailen[mbs-1];
887      ai[mbs] = ai[mbs-1] + ailen[mbs-1];
888   }
889   /* reset ilen and imax for each row */
890   for (i=0; i<mbs; i++) {
891     ailen[i] = imax[i] = ai[i+1] - ai[i];
892   }
893   a->nz = ai[mbs];
894 
895   /* diagonals may have moved, reset it */
896   if (a->diag) {
897     ierr = PetscMemcpy(a->diag,ai,mbs*sizeof(PetscInt));CHKERRQ(ierr);
898   }
899   if (fshift && a->nounused == -1) {
900     SETERRQ4(PETSC_COMM_SELF,PETSC_ERR_PLIB, "Unused space detected in matrix: %D X %D block size %D, %D unneeded", m, A->cmap->n, A->rmap->bs, fshift*bs2);
901   }
902   ierr = PetscInfo5(A,"Matrix size: %D X %D, block size %D; storage space: %D unneeded, %D used\n",m,A->rmap->N,A->rmap->bs,fshift*bs2,a->nz*bs2);CHKERRQ(ierr);
903   ierr = PetscInfo1(A,"Number of mallocs during MatSetValues is %D\n",a->reallocs);CHKERRQ(ierr);
904   ierr = PetscInfo1(A,"Most nonzeros blocks in any row is %D\n",rmax);CHKERRQ(ierr);
905   A->info.mallocs     += a->reallocs;
906   a->reallocs          = 0;
907   A->info.nz_unneeded  = (PetscReal)fshift*bs2;
908   a->idiagvalid = PETSC_FALSE;
909 
910   if (A->cmap->n < 65536 && A->cmap->bs == 1) {
911     if (a->jshort && a->free_jshort){
912       /* when matrix data structure is changed, previous jshort must be replaced */
913       ierr = PetscFree(a->jshort);CHKERRQ(ierr);
914     }
915     ierr = PetscMalloc(a->i[A->rmap->n]*sizeof(unsigned short),&a->jshort);CHKERRQ(ierr);
916     ierr = PetscLogObjectMemory(A,a->i[A->rmap->n]*sizeof(unsigned short));CHKERRQ(ierr);
917     for (i=0; i<a->i[A->rmap->n]; i++) a->jshort[i] = a->j[i];
918     A->ops->mult  = MatMult_SeqSBAIJ_1_ushort;
919     A->ops->sor = MatSOR_SeqSBAIJ_ushort;
920     a->free_jshort = PETSC_TRUE;
921   }
922   PetscFunctionReturn(0);
923 }
924 
925 /*
926    This function returns an array of flags which indicate the locations of contiguous
927    blocks that should be zeroed. for eg: if bs = 3  and is = [0,1,2,3,5,6,7,8,9]
928    then the resulting sizes = [3,1,1,3,1] correspondig to sets [(0,1,2),(3),(5),(6,7,8),(9)]
929    Assume: sizes should be long enough to hold all the values.
930 */
931 #undef __FUNCT__
932 #define __FUNCT__ "MatZeroRows_SeqSBAIJ_Check_Blocks"
933 PetscErrorCode MatZeroRows_SeqSBAIJ_Check_Blocks(PetscInt idx[],PetscInt n,PetscInt bs,PetscInt sizes[], PetscInt *bs_max)
934 {
935   PetscInt   i,j,k,row;
936   PetscBool  flg;
937 
938   PetscFunctionBegin;
939    for (i=0,j=0; i<n; j++) {
940      row = idx[i];
941      if (row%bs!=0) { /* Not the begining of a block */
942        sizes[j] = 1;
943        i++;
944      } else if (i+bs > n) { /* Beginning of a block, but complete block doesn't exist (at idx end) */
945        sizes[j] = 1;         /* Also makes sure atleast 'bs' values exist for next else */
946        i++;
947      } else { /* Begining of the block, so check if the complete block exists */
948        flg = PETSC_TRUE;
949        for (k=1; k<bs; k++) {
950          if (row+k != idx[i+k]) { /* break in the block */
951            flg = PETSC_FALSE;
952            break;
953          }
954        }
955        if (flg) { /* No break in the bs */
956          sizes[j] = bs;
957          i+= bs;
958        } else {
959          sizes[j] = 1;
960          i++;
961        }
962      }
963    }
964    *bs_max = j;
965    PetscFunctionReturn(0);
966 }
967 
968 
969 /* Only add/insert a(i,j) with i<=j (blocks).
970    Any a(i,j) with i>j input by user is ingored.
971 */
972 
973 #undef __FUNCT__
974 #define __FUNCT__ "MatSetValues_SeqSBAIJ"
975 PetscErrorCode MatSetValues_SeqSBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
976 {
977   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
978   PetscErrorCode ierr;
979   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N,lastcol = -1;
980   PetscInt       *imax=a->imax,*ai=a->i,*ailen=a->ilen,roworiented=a->roworiented;
981   PetscInt       *aj=a->j,nonew=a->nonew,bs=A->rmap->bs,brow,bcol;
982   PetscInt       ridx,cidx,bs2=a->bs2;
983   MatScalar      *ap,value,*aa=a->a,*bap;
984 
985   PetscFunctionBegin;
986   if (v) PetscValidScalarPointer(v,6);
987   for (k=0; k<m; k++) { /* loop over added rows */
988     row  = im[k];       /* row number */
989     brow = row/bs;      /* block row number */
990     if (row < 0) continue;
991 #if defined(PETSC_USE_DEBUG)
992     if (row >= A->rmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,A->rmap->N-1);
993 #endif
994     rp   = aj + ai[brow]; /*ptr to beginning of column value of the row block*/
995     ap   = aa + bs2*ai[brow]; /*ptr to beginning of element value of the row block*/
996     rmax = imax[brow];  /* maximum space allocated for this row */
997     nrow = ailen[brow]; /* actual length of this row */
998     low  = 0;
999 
1000     for (l=0; l<n; l++) { /* loop over added columns */
1001       if (in[l] < 0) continue;
1002 #if defined(PETSC_USE_DEBUG)
1003       if (in[l] >= A->rmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],A->rmap->N-1);
1004 #endif
1005       col = in[l];
1006       bcol = col/bs;              /* block col number */
1007 
1008       if (brow > bcol) {
1009         if (a->ignore_ltriangular){
1010           continue; /* ignore lower triangular values */
1011         } else {
1012           SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"Lower triangular value cannot be set for sbaij format. Ignoring these values, run with -mat_ignore_lower_triangular or call MatSetOption(mat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE)");
1013         }
1014       }
1015 
1016       ridx = row % bs; cidx = col % bs; /*row and col index inside the block */
1017       if ((brow==bcol && ridx<=cidx) || (brow<bcol)){
1018         /* element value a(k,l) */
1019         if (roworiented) {
1020           value = v[l + k*n];
1021         } else {
1022           value = v[k + l*m];
1023         }
1024 
1025         /* move pointer bap to a(k,l) quickly and add/insert value */
1026         if (col <= lastcol) low = 0; high = nrow;
1027         lastcol = col;
1028         while (high-low > 7) {
1029           t = (low+high)/2;
1030           if (rp[t] > bcol) high = t;
1031           else              low  = t;
1032         }
1033         for (i=low; i<high; i++) {
1034           if (rp[i] > bcol) break;
1035           if (rp[i] == bcol) {
1036             bap  = ap +  bs2*i + bs*cidx + ridx;
1037             if (is == ADD_VALUES) *bap += value;
1038             else                  *bap  = value;
1039             /* for diag block, add/insert its symmetric element a(cidx,ridx) */
1040             if (brow == bcol && ridx < cidx){
1041               bap  = ap +  bs2*i + bs*ridx + cidx;
1042               if (is == ADD_VALUES) *bap += value;
1043               else                  *bap  = value;
1044             }
1045             goto noinsert1;
1046           }
1047         }
1048 
1049         if (nonew == 1) goto noinsert1;
1050         if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) in the matrix", row, col);
1051         MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
1052 
1053         N = nrow++ - 1; high++;
1054         /* shift up all the later entries in this row */
1055         for (ii=N; ii>=i; ii--) {
1056           rp[ii+1] = rp[ii];
1057           ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
1058         }
1059         if (N>=i) {
1060           ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
1061         }
1062         rp[i]                      = bcol;
1063         ap[bs2*i + bs*cidx + ridx] = value;
1064       noinsert1:;
1065         low = i;
1066       }
1067     }   /* end of loop over added columns */
1068     ailen[brow] = nrow;
1069   }   /* end of loop over added rows */
1070   PetscFunctionReturn(0);
1071 }
1072 
1073 #undef __FUNCT__
1074 #define __FUNCT__ "MatICCFactor_SeqSBAIJ"
1075 PetscErrorCode MatICCFactor_SeqSBAIJ(Mat inA,IS row,const MatFactorInfo *info)
1076 {
1077   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)inA->data;
1078   Mat            outA;
1079   PetscErrorCode ierr;
1080   PetscBool      row_identity;
1081 
1082   PetscFunctionBegin;
1083   if (info->levels != 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only levels=0 is supported for in-place icc");
1084   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
1085   if (!row_identity) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Matrix reordering is not supported");
1086   if (inA->rmap->bs != 1) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Matrix block size %D is not supported",inA->rmap->bs); /* Need to replace MatCholeskyFactorSymbolic_SeqSBAIJ_MSR()! */
1087 
1088   outA            = inA;
1089   inA->factortype = MAT_FACTOR_ICC;
1090 
1091   ierr = MatMarkDiagonal_SeqSBAIJ(inA);CHKERRQ(ierr);
1092   ierr = MatSeqSBAIJSetNumericFactorization_inplace(inA,row_identity);CHKERRQ(ierr);
1093 
1094   ierr   = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
1095   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
1096   a->row = row;
1097   ierr   = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
1098   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
1099   a->col = row;
1100 
1101   /* Create the invert permutation so that it can be used in MatCholeskyFactorNumeric() */
1102   if (a->icol) {ierr = ISInvertPermutation(row,PETSC_DECIDE, &a->icol);CHKERRQ(ierr);}
1103   ierr = PetscLogObjectParent(inA,a->icol);CHKERRQ(ierr);
1104 
1105   if (!a->solve_work) {
1106     ierr = PetscMalloc((inA->rmap->N+inA->rmap->bs)*sizeof(PetscScalar),&a->solve_work);CHKERRQ(ierr);
1107     ierr = PetscLogObjectMemory(inA,(inA->rmap->N+inA->rmap->bs)*sizeof(PetscScalar));CHKERRQ(ierr);
1108   }
1109 
1110   ierr = MatCholeskyFactorNumeric(outA,inA,info);CHKERRQ(ierr);
1111   PetscFunctionReturn(0);
1112 }
1113 
1114 EXTERN_C_BEGIN
1115 #undef __FUNCT__
1116 #define __FUNCT__ "MatSeqSBAIJSetColumnIndices_SeqSBAIJ"
1117 PetscErrorCode  MatSeqSBAIJSetColumnIndices_SeqSBAIJ(Mat mat,PetscInt *indices)
1118 {
1119   Mat_SeqSBAIJ   *baij = (Mat_SeqSBAIJ *)mat->data;
1120   PetscInt       i,nz,n;
1121   PetscErrorCode ierr;
1122 
1123   PetscFunctionBegin;
1124   nz = baij->maxnz;
1125   n  = mat->cmap->n;
1126   for (i=0; i<nz; i++) {
1127     baij->j[i] = indices[i];
1128   }
1129    baij->nz = nz;
1130    for (i=0; i<n; i++) {
1131      baij->ilen[i] = baij->imax[i];
1132    }
1133   ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
1134   PetscFunctionReturn(0);
1135 }
1136 EXTERN_C_END
1137 
1138 #undef __FUNCT__
1139 #define __FUNCT__ "MatSeqSBAIJSetColumnIndices"
1140 /*@
1141   MatSeqSBAIJSetColumnIndices - Set the column indices for all the rows
1142   in the matrix.
1143 
1144   Input Parameters:
1145   +  mat     - the SeqSBAIJ matrix
1146   -  indices - the column indices
1147 
1148   Level: advanced
1149 
1150   Notes:
1151   This can be called if you have precomputed the nonzero structure of the
1152   matrix and want to provide it to the matrix object to improve the performance
1153   of the MatSetValues() operation.
1154 
1155   You MUST have set the correct numbers of nonzeros per row in the call to
1156   MatCreateSeqSBAIJ(), and the columns indices MUST be sorted.
1157 
1158   MUST be called before any calls to MatSetValues()
1159 
1160   .seealso: MatCreateSeqSBAIJ
1161 @*/
1162 PetscErrorCode  MatSeqSBAIJSetColumnIndices(Mat mat,PetscInt *indices)
1163 {
1164   PetscErrorCode ierr;
1165 
1166   PetscFunctionBegin;
1167   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
1168   PetscValidPointer(indices,2);
1169   ierr = PetscUseMethod(mat,"MatSeqSBAIJSetColumnIndices_C",(Mat,PetscInt *),(mat,indices));CHKERRQ(ierr);
1170   PetscFunctionReturn(0);
1171 }
1172 
1173 #undef __FUNCT__
1174 #define __FUNCT__ "MatCopy_SeqSBAIJ"
1175 PetscErrorCode MatCopy_SeqSBAIJ(Mat A,Mat B,MatStructure str)
1176 {
1177   PetscErrorCode ierr;
1178 
1179   PetscFunctionBegin;
1180   /* If the two matrices have the same copy implementation, use fast copy. */
1181   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
1182     Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
1183     Mat_SeqSBAIJ *b = (Mat_SeqSBAIJ*)B->data;
1184 
1185     if (a->i[A->rmap->N] != b->i[B->rmap->N]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Number of nonzeros in two matrices are different");
1186     ierr = PetscMemcpy(b->a,a->a,(a->i[A->rmap->N])*sizeof(PetscScalar));CHKERRQ(ierr);
1187   } else {
1188     ierr = MatGetRowUpperTriangular(A);CHKERRQ(ierr);
1189     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
1190     ierr = MatRestoreRowUpperTriangular(A);CHKERRQ(ierr);
1191   }
1192   PetscFunctionReturn(0);
1193 }
1194 
1195 #undef __FUNCT__
1196 #define __FUNCT__ "MatSetUp_SeqSBAIJ"
1197 PetscErrorCode MatSetUp_SeqSBAIJ(Mat A)
1198 {
1199   PetscErrorCode ierr;
1200 
1201   PetscFunctionBegin;
1202   ierr =  MatSeqSBAIJSetPreallocation_SeqSBAIJ(A,A->rmap->bs,PETSC_DEFAULT,0);CHKERRQ(ierr);
1203   PetscFunctionReturn(0);
1204 }
1205 
1206 #undef __FUNCT__
1207 #define __FUNCT__ "MatGetArray_SeqSBAIJ"
1208 PetscErrorCode MatGetArray_SeqSBAIJ(Mat A,PetscScalar *array[])
1209 {
1210   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
1211   PetscFunctionBegin;
1212   *array = a->a;
1213   PetscFunctionReturn(0);
1214 }
1215 
1216 #undef __FUNCT__
1217 #define __FUNCT__ "MatRestoreArray_SeqSBAIJ"
1218 PetscErrorCode MatRestoreArray_SeqSBAIJ(Mat A,PetscScalar *array[])
1219 {
1220   PetscFunctionBegin;
1221   PetscFunctionReturn(0);
1222  }
1223 
1224 #undef __FUNCT__
1225 #define __FUNCT__ "MatAXPY_SeqSBAIJ"
1226 PetscErrorCode MatAXPY_SeqSBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
1227 {
1228   Mat_SeqSBAIJ   *x=(Mat_SeqSBAIJ *)X->data, *y=(Mat_SeqSBAIJ *)Y->data;
1229   PetscErrorCode ierr;
1230   PetscInt       i,bs=Y->rmap->bs,bs2=bs*bs,j;
1231   PetscBLASInt   one = 1;
1232 
1233   PetscFunctionBegin;
1234   if (str == SAME_NONZERO_PATTERN) {
1235     PetscScalar alpha = a;
1236     PetscBLASInt bnz = PetscBLASIntCast(x->nz*bs2);
1237     BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one);
1238   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
1239     if (y->xtoy && y->XtoY != X) {
1240       ierr = PetscFree(y->xtoy);CHKERRQ(ierr);
1241       ierr = MatDestroy(&y->XtoY);CHKERRQ(ierr);
1242     }
1243     if (!y->xtoy) { /* get xtoy */
1244       ierr = MatAXPYGetxtoy_Private(x->mbs,x->i,x->j,PETSC_NULL, y->i,y->j,PETSC_NULL, &y->xtoy);CHKERRQ(ierr);
1245       y->XtoY = X;
1246     }
1247     for (i=0; i<x->nz; i++) {
1248       j = 0;
1249       while (j < bs2){
1250         y->a[bs2*y->xtoy[i]+j] += a*(x->a[bs2*i+j]);
1251         j++;
1252       }
1253     }
1254     ierr = PetscInfo3(Y,"ratio of nnz_s(X)/nnz_s(Y): %D/%D = %G\n",bs2*x->nz,bs2*y->nz,(PetscReal)(bs2*x->nz)/(bs2*y->nz));CHKERRQ(ierr);
1255   } else {
1256     ierr = MatGetRowUpperTriangular(X);CHKERRQ(ierr);
1257     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
1258     ierr = MatRestoreRowUpperTriangular(X);CHKERRQ(ierr);
1259   }
1260   PetscFunctionReturn(0);
1261 }
1262 
1263 #undef __FUNCT__
1264 #define __FUNCT__ "MatIsSymmetric_SeqSBAIJ"
1265 PetscErrorCode MatIsSymmetric_SeqSBAIJ(Mat A,PetscReal tol,PetscBool  *flg)
1266 {
1267   PetscFunctionBegin;
1268   *flg = PETSC_TRUE;
1269   PetscFunctionReturn(0);
1270 }
1271 
1272 #undef __FUNCT__
1273 #define __FUNCT__ "MatIsStructurallySymmetric_SeqSBAIJ"
1274 PetscErrorCode MatIsStructurallySymmetric_SeqSBAIJ(Mat A,PetscBool  *flg)
1275 {
1276    PetscFunctionBegin;
1277    *flg = PETSC_TRUE;
1278    PetscFunctionReturn(0);
1279 }
1280 
1281 #undef __FUNCT__
1282 #define __FUNCT__ "MatIsHermitian_SeqSBAIJ"
1283 PetscErrorCode MatIsHermitian_SeqSBAIJ(Mat A,PetscReal tol,PetscBool  *flg)
1284  {
1285    PetscFunctionBegin;
1286    *flg = PETSC_FALSE;
1287    PetscFunctionReturn(0);
1288  }
1289 
1290 #undef __FUNCT__
1291 #define __FUNCT__ "MatRealPart_SeqSBAIJ"
1292 PetscErrorCode MatRealPart_SeqSBAIJ(Mat A)
1293 {
1294   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
1295   PetscInt       i,nz = a->bs2*a->i[a->mbs];
1296   MatScalar      *aa = a->a;
1297 
1298   PetscFunctionBegin;
1299   for (i=0; i<nz; i++) aa[i] = PetscRealPart(aa[i]);
1300   PetscFunctionReturn(0);
1301 }
1302 
1303 #undef __FUNCT__
1304 #define __FUNCT__ "MatImaginaryPart_SeqSBAIJ"
1305 PetscErrorCode MatImaginaryPart_SeqSBAIJ(Mat A)
1306 {
1307   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
1308   PetscInt       i,nz = a->bs2*a->i[a->mbs];
1309   MatScalar      *aa = a->a;
1310 
1311   PetscFunctionBegin;
1312   for (i=0; i<nz; i++) aa[i] = PetscImaginaryPart(aa[i]);
1313   PetscFunctionReturn(0);
1314 }
1315 
1316 #undef __FUNCT__
1317 #define __FUNCT__ "MatZeroRowsColumns_SeqSBAIJ"
1318 PetscErrorCode MatZeroRowsColumns_SeqSBAIJ(Mat A,PetscInt is_n,const PetscInt is_idx[],PetscScalar diag,Vec x, Vec b)
1319 {
1320   Mat_SeqSBAIJ      *baij=(Mat_SeqSBAIJ*)A->data;
1321   PetscErrorCode    ierr;
1322   PetscInt          i,j,k,count;
1323   PetscInt          bs=A->rmap->bs,bs2=baij->bs2,row,col;
1324   PetscScalar       zero = 0.0;
1325   MatScalar         *aa;
1326   const PetscScalar *xx;
1327   PetscScalar       *bb;
1328   PetscBool         *zeroed,vecs = PETSC_FALSE;
1329 
1330   PetscFunctionBegin;
1331   /* fix right hand side if needed */
1332   if (x && b) {
1333     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1334     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1335     vecs = PETSC_TRUE;
1336   }
1337   A->same_nonzero = PETSC_TRUE;
1338 
1339   /* zero the columns */
1340   ierr = PetscMalloc(A->rmap->n*sizeof(PetscBool),&zeroed);CHKERRQ(ierr);
1341   ierr = PetscMemzero(zeroed,A->rmap->n*sizeof(PetscBool));CHKERRQ(ierr);
1342   for (i=0; i<is_n; i++) {
1343     if (is_idx[i] < 0 || is_idx[i] >= A->rmap->N) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range",is_idx[i]);
1344     zeroed[is_idx[i]] = PETSC_TRUE;
1345   }
1346   if (vecs) {
1347     for (i=0; i<A->rmap->N; i++) {
1348       row = i/bs;
1349       for (j=baij->i[row]; j<baij->i[row+1]; j++) {
1350 	for (k=0; k<bs; k++) {
1351 	  col = bs*baij->j[j] + k;
1352           if (col <= i) continue;
1353 	  aa = ((MatScalar*)(baij->a)) + j*bs2 + (i%bs) + bs*k;
1354 	  if (!zeroed[i] && zeroed[col]) {
1355 	    bb[i] -= aa[0]*xx[col];
1356 	  }
1357 	  if (zeroed[i] && !zeroed[col]) {
1358 	    bb[col] -= aa[0]*xx[i];
1359 	  }
1360 	}
1361       }
1362     }
1363     for (i=0; i<is_n; i++) {
1364       bb[is_idx[i]] = diag*xx[is_idx[i]];
1365     }
1366   }
1367 
1368   for (i=0; i<A->rmap->N; i++) {
1369     if (!zeroed[i]) {
1370       row = i/bs;
1371       for (j=baij->i[row]; j<baij->i[row+1]; j++) {
1372         for (k=0; k<bs; k++) {
1373           col = bs*baij->j[j] + k;
1374 	  if (zeroed[col]) {
1375 	    aa = ((MatScalar*)(baij->a)) + j*bs2 + (i%bs) + bs*k;
1376             aa[0] = 0.0;
1377           }
1378         }
1379       }
1380     }
1381   }
1382   ierr = PetscFree(zeroed);CHKERRQ(ierr);
1383   if (vecs) {
1384     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1385     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1386   }
1387 
1388   /* zero the rows */
1389   for (i=0; i<is_n; i++) {
1390     row   = is_idx[i];
1391     count = (baij->i[row/bs +1] - baij->i[row/bs])*bs;
1392     aa    = ((MatScalar*)(baij->a)) + baij->i[row/bs]*bs2 + (row%bs);
1393     for (k=0; k<count; k++) {
1394       aa[0] =  zero;
1395       aa    += bs;
1396     }
1397     if (diag != 0.0) {
1398       ierr = (*A->ops->setvalues)(A,1,&row,1,&row,&diag,INSERT_VALUES);CHKERRQ(ierr);
1399     }
1400   }
1401   ierr = MatAssemblyEnd_SeqSBAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1402   PetscFunctionReturn(0);
1403 }
1404 
1405 /* -------------------------------------------------------------------*/
1406 static struct _MatOps MatOps_Values = {MatSetValues_SeqSBAIJ,
1407        MatGetRow_SeqSBAIJ,
1408        MatRestoreRow_SeqSBAIJ,
1409        MatMult_SeqSBAIJ_N,
1410 /* 4*/ MatMultAdd_SeqSBAIJ_N,
1411        MatMult_SeqSBAIJ_N,       /* transpose versions are same as non-transpose versions */
1412        MatMultAdd_SeqSBAIJ_N,
1413        0,
1414        0,
1415        0,
1416 /*10*/ 0,
1417        0,
1418        MatCholeskyFactor_SeqSBAIJ,
1419        MatSOR_SeqSBAIJ,
1420        MatTranspose_SeqSBAIJ,
1421 /*15*/ MatGetInfo_SeqSBAIJ,
1422        MatEqual_SeqSBAIJ,
1423        MatGetDiagonal_SeqSBAIJ,
1424        MatDiagonalScale_SeqSBAIJ,
1425        MatNorm_SeqSBAIJ,
1426 /*20*/ 0,
1427        MatAssemblyEnd_SeqSBAIJ,
1428        MatSetOption_SeqSBAIJ,
1429        MatZeroEntries_SeqSBAIJ,
1430 /*24*/ 0,
1431        0,
1432        0,
1433        0,
1434        0,
1435 /*29*/ MatSetUp_SeqSBAIJ,
1436        0,
1437        0,
1438        MatGetArray_SeqSBAIJ,
1439        MatRestoreArray_SeqSBAIJ,
1440 /*34*/ MatDuplicate_SeqSBAIJ,
1441        0,
1442        0,
1443        0,
1444        MatICCFactor_SeqSBAIJ,
1445 /*39*/ MatAXPY_SeqSBAIJ,
1446        MatGetSubMatrices_SeqSBAIJ,
1447        MatIncreaseOverlap_SeqSBAIJ,
1448        MatGetValues_SeqSBAIJ,
1449        MatCopy_SeqSBAIJ,
1450 /*44*/ 0,
1451        MatScale_SeqSBAIJ,
1452        0,
1453        0,
1454        MatZeroRowsColumns_SeqSBAIJ,
1455 /*49*/ 0,
1456        MatGetRowIJ_SeqSBAIJ,
1457        MatRestoreRowIJ_SeqSBAIJ,
1458        0,
1459        0,
1460 /*54*/ 0,
1461        0,
1462        0,
1463        0,
1464        MatSetValuesBlocked_SeqSBAIJ,
1465 /*59*/ MatGetSubMatrix_SeqSBAIJ,
1466        0,
1467        0,
1468        0,
1469        0,
1470 /*64*/ 0,
1471        0,
1472        0,
1473        0,
1474        0,
1475 /*69*/ MatGetRowMaxAbs_SeqSBAIJ,
1476        0,
1477        0,
1478        0,
1479        0,
1480 /*74*/ 0,
1481        0,
1482        0,
1483        0,
1484        0,
1485 /*79*/ 0,
1486        0,
1487        0,
1488        MatGetInertia_SeqSBAIJ,
1489        MatLoad_SeqSBAIJ,
1490 /*84*/ MatIsSymmetric_SeqSBAIJ,
1491        MatIsHermitian_SeqSBAIJ,
1492        MatIsStructurallySymmetric_SeqSBAIJ,
1493        0,
1494        0,
1495 /*89*/ 0,
1496        0,
1497        0,
1498        0,
1499        0,
1500 /*94*/ 0,
1501        0,
1502        0,
1503        0,
1504        0,
1505 /*99*/ 0,
1506        0,
1507        0,
1508        0,
1509        0,
1510 /*104*/0,
1511        MatRealPart_SeqSBAIJ,
1512        MatImaginaryPart_SeqSBAIJ,
1513        MatGetRowUpperTriangular_SeqSBAIJ,
1514        MatRestoreRowUpperTriangular_SeqSBAIJ,
1515 /*109*/0,
1516        0,
1517        0,
1518        0,
1519        MatMissingDiagonal_SeqSBAIJ,
1520 /*114*/0,
1521        0,
1522        0,
1523        0,
1524        0,
1525 /*119*/0,
1526        0,
1527        0,
1528        0
1529 };
1530 
1531 EXTERN_C_BEGIN
1532 #undef __FUNCT__
1533 #define __FUNCT__ "MatStoreValues_SeqSBAIJ"
1534 PetscErrorCode  MatStoreValues_SeqSBAIJ(Mat mat)
1535 {
1536   Mat_SeqSBAIJ   *aij = (Mat_SeqSBAIJ *)mat->data;
1537   PetscInt       nz = aij->i[mat->rmap->N]*mat->rmap->bs*aij->bs2;
1538   PetscErrorCode ierr;
1539 
1540   PetscFunctionBegin;
1541   if (aij->nonew != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
1542 
1543   /* allocate space for values if not already there */
1544   if (!aij->saved_values) {
1545     ierr = PetscMalloc((nz+1)*sizeof(PetscScalar),&aij->saved_values);CHKERRQ(ierr);
1546   }
1547 
1548   /* copy values over */
1549   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
1550   PetscFunctionReturn(0);
1551 }
1552 EXTERN_C_END
1553 
1554 EXTERN_C_BEGIN
1555 #undef __FUNCT__
1556 #define __FUNCT__ "MatRetrieveValues_SeqSBAIJ"
1557 PetscErrorCode  MatRetrieveValues_SeqSBAIJ(Mat mat)
1558 {
1559   Mat_SeqSBAIJ   *aij = (Mat_SeqSBAIJ *)mat->data;
1560   PetscErrorCode ierr;
1561   PetscInt       nz = aij->i[mat->rmap->N]*mat->rmap->bs*aij->bs2;
1562 
1563   PetscFunctionBegin;
1564   if (aij->nonew != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
1565   if (!aij->saved_values) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
1566 
1567   /* copy values over */
1568   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
1569   PetscFunctionReturn(0);
1570 }
1571 EXTERN_C_END
1572 
1573 EXTERN_C_BEGIN
1574 #undef __FUNCT__
1575 #define __FUNCT__ "MatSeqSBAIJSetPreallocation_SeqSBAIJ"
1576 PetscErrorCode  MatSeqSBAIJSetPreallocation_SeqSBAIJ(Mat B,PetscInt bs,PetscInt nz,PetscInt *nnz)
1577 {
1578   Mat_SeqSBAIJ   *b = (Mat_SeqSBAIJ*)B->data;
1579   PetscErrorCode ierr;
1580   PetscInt       i,mbs,bs2;
1581   PetscBool      skipallocation = PETSC_FALSE,flg = PETSC_FALSE,realalloc = PETSC_FALSE;
1582 
1583   PetscFunctionBegin;
1584   if (nz >= 0 || nnz) realalloc = PETSC_TRUE;
1585   B->preallocated = PETSC_TRUE;
1586 
1587   ierr = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
1588   ierr = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
1589   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1590   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1591   ierr = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
1592 
1593   mbs  = B->rmap->N/bs;
1594   bs2  = bs*bs;
1595 
1596   if (mbs*bs != B->rmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Number rows, cols must be divisible by blocksize");
1597 
1598   if (nz == MAT_SKIP_ALLOCATION) {
1599     skipallocation = PETSC_TRUE;
1600     nz             = 0;
1601   }
1602 
1603   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 3;
1604   if (nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %D",nz);
1605   if (nnz) {
1606     for (i=0; i<mbs; i++) {
1607       if (nnz[i] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nnz cannot be less than 0: local row %D value %D",i,nnz[i]);
1608       if (nnz[i] > mbs) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nnz cannot be greater than block row length: local row %D value %D rowlength %D",i,nnz[i],mbs);
1609     }
1610   }
1611 
1612   B->ops->mult             = MatMult_SeqSBAIJ_N;
1613   B->ops->multadd          = MatMultAdd_SeqSBAIJ_N;
1614   B->ops->multtranspose    = MatMult_SeqSBAIJ_N;
1615   B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_N;
1616   ierr  = PetscOptionsGetBool(((PetscObject)B)->prefix,"-mat_no_unroll",&flg,PETSC_NULL);CHKERRQ(ierr);
1617   if (!flg) {
1618     switch (bs) {
1619     case 1:
1620       B->ops->mult             = MatMult_SeqSBAIJ_1;
1621       B->ops->multadd          = MatMultAdd_SeqSBAIJ_1;
1622       B->ops->multtranspose    = MatMult_SeqSBAIJ_1;
1623       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_1;
1624       break;
1625     case 2:
1626       B->ops->mult             = MatMult_SeqSBAIJ_2;
1627       B->ops->multadd          = MatMultAdd_SeqSBAIJ_2;
1628       B->ops->multtranspose    = MatMult_SeqSBAIJ_2;
1629       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_2;
1630       break;
1631     case 3:
1632       B->ops->mult             = MatMult_SeqSBAIJ_3;
1633       B->ops->multadd          = MatMultAdd_SeqSBAIJ_3;
1634       B->ops->multtranspose    = MatMult_SeqSBAIJ_3;
1635       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_3;
1636       break;
1637     case 4:
1638       B->ops->mult             = MatMult_SeqSBAIJ_4;
1639       B->ops->multadd          = MatMultAdd_SeqSBAIJ_4;
1640       B->ops->multtranspose    = MatMult_SeqSBAIJ_4;
1641       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_4;
1642       break;
1643     case 5:
1644       B->ops->mult             = MatMult_SeqSBAIJ_5;
1645       B->ops->multadd          = MatMultAdd_SeqSBAIJ_5;
1646       B->ops->multtranspose    = MatMult_SeqSBAIJ_5;
1647       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_5;
1648       break;
1649     case 6:
1650       B->ops->mult             = MatMult_SeqSBAIJ_6;
1651       B->ops->multadd          = MatMultAdd_SeqSBAIJ_6;
1652       B->ops->multtranspose    = MatMult_SeqSBAIJ_6;
1653       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_6;
1654       break;
1655     case 7:
1656       B->ops->mult             = MatMult_SeqSBAIJ_7;
1657       B->ops->multadd          = MatMultAdd_SeqSBAIJ_7;
1658       B->ops->multtranspose    = MatMult_SeqSBAIJ_7;
1659       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_7;
1660       break;
1661     }
1662   }
1663 
1664   b->mbs = mbs;
1665   b->nbs = mbs;
1666   if (!skipallocation) {
1667     if (!b->imax) {
1668       ierr = PetscMalloc2(mbs,PetscInt,&b->imax,mbs,PetscInt,&b->ilen);CHKERRQ(ierr);
1669       b->free_imax_ilen = PETSC_TRUE;
1670       ierr = PetscLogObjectMemory(B,2*mbs*sizeof(PetscInt));CHKERRQ(ierr);
1671     }
1672     if (!nnz) {
1673       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
1674       else if (nz <= 0)        nz = 1;
1675       for (i=0; i<mbs; i++) {
1676         b->imax[i] = nz;
1677       }
1678       nz = nz*mbs; /* total nz */
1679     } else {
1680       nz = 0;
1681       for (i=0; i<mbs; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
1682     }
1683     /* b->ilen will count nonzeros in each block row so far. */
1684     for (i=0; i<mbs; i++) { b->ilen[i] = 0;}
1685     /* nz=(nz+mbs)/2; */ /* total diagonal and superdiagonal nonzero blocks */
1686 
1687     /* allocate the matrix space */
1688     ierr = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
1689     ierr = PetscMalloc3(bs2*nz,PetscScalar,&b->a,nz,PetscInt,&b->j,B->rmap->N+1,PetscInt,&b->i);CHKERRQ(ierr);
1690     ierr = PetscLogObjectMemory(B,(B->rmap->N+1)*sizeof(PetscInt)+nz*(bs2*sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
1691     ierr = PetscMemzero(b->a,nz*bs2*sizeof(MatScalar));CHKERRQ(ierr);
1692     ierr = PetscMemzero(b->j,nz*sizeof(PetscInt));CHKERRQ(ierr);
1693     b->singlemalloc = PETSC_TRUE;
1694 
1695     /* pointer to beginning of each row */
1696     b->i[0] = 0;
1697     for (i=1; i<mbs+1; i++) {
1698       b->i[i] = b->i[i-1] + b->imax[i-1];
1699     }
1700     b->free_a     = PETSC_TRUE;
1701     b->free_ij    = PETSC_TRUE;
1702   } else {
1703     b->free_a     = PETSC_FALSE;
1704     b->free_ij    = PETSC_FALSE;
1705   }
1706 
1707   B->rmap->bs     = bs;
1708   b->bs2          = bs2;
1709   b->nz           = 0;
1710   b->maxnz        = nz;
1711 
1712   b->inew             = 0;
1713   b->jnew             = 0;
1714   b->anew             = 0;
1715   b->a2anew           = 0;
1716   b->permute          = PETSC_FALSE;
1717   if (realalloc) {ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);}
1718   PetscFunctionReturn(0);
1719 }
1720 EXTERN_C_END
1721 
1722 /*
1723    This is used to set the numeric factorization for both Cholesky and ICC symbolic factorization
1724 */
1725 #undef __FUNCT__
1726 #define __FUNCT__ "MatSeqSBAIJSetNumericFactorization_inplace"
1727 PetscErrorCode MatSeqSBAIJSetNumericFactorization_inplace(Mat B,PetscBool  natural)
1728 {
1729   PetscErrorCode ierr;
1730   PetscBool      flg = PETSC_FALSE;
1731   PetscInt       bs = B->rmap->bs;
1732 
1733   PetscFunctionBegin;
1734   ierr    = PetscOptionsGetBool(((PetscObject)B)->prefix,"-mat_no_unroll",&flg,PETSC_NULL);CHKERRQ(ierr);
1735   if (flg) bs = 8;
1736 
1737   if (!natural) {
1738     switch (bs) {
1739     case 1:
1740       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_1_inplace;
1741       break;
1742     case 2:
1743       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_2;
1744       break;
1745     case 3:
1746       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_3;
1747       break;
1748     case 4:
1749       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_4;
1750       break;
1751     case 5:
1752       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_5;
1753       break;
1754     case 6:
1755       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_6;
1756       break;
1757     case 7:
1758       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_7;
1759       break;
1760     default:
1761       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_N;
1762       break;
1763     }
1764   } else {
1765     switch (bs) {
1766     case 1:
1767       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_1_NaturalOrdering_inplace;
1768       break;
1769     case 2:
1770       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_2_NaturalOrdering;
1771       break;
1772     case 3:
1773       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_3_NaturalOrdering;
1774       break;
1775     case 4:
1776       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_4_NaturalOrdering;
1777       break;
1778     case 5:
1779       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_5_NaturalOrdering;
1780       break;
1781     case 6:
1782       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_6_NaturalOrdering;
1783       break;
1784     case 7:
1785       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_7_NaturalOrdering;
1786       break;
1787     default:
1788       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_N_NaturalOrdering;
1789       break;
1790     }
1791   }
1792   PetscFunctionReturn(0);
1793 }
1794 
1795 EXTERN_C_BEGIN
1796 extern PetscErrorCode  MatConvert_SeqSBAIJ_SeqAIJ(Mat, MatType,MatReuse,Mat*);
1797 extern PetscErrorCode  MatConvert_SeqSBAIJ_SeqBAIJ(Mat, MatType,MatReuse,Mat*);
1798 EXTERN_C_END
1799 
1800 
1801 EXTERN_C_BEGIN
1802 #undef __FUNCT__
1803 #define __FUNCT__ "MatGetFactor_seqsbaij_petsc"
1804 PetscErrorCode MatGetFactor_seqsbaij_petsc(Mat A,MatFactorType ftype,Mat *B)
1805 {
1806   PetscInt           n = A->rmap->n;
1807   PetscErrorCode     ierr;
1808 
1809   PetscFunctionBegin;
1810   ierr = MatCreate(((PetscObject)A)->comm,B);CHKERRQ(ierr);
1811   ierr = MatSetSizes(*B,n,n,n,n);CHKERRQ(ierr);
1812   if (ftype == MAT_FACTOR_CHOLESKY || ftype == MAT_FACTOR_ICC) {
1813     ierr = MatSetType(*B,MATSEQSBAIJ);CHKERRQ(ierr);
1814     ierr = MatSeqSBAIJSetPreallocation(*B,A->rmap->bs,MAT_SKIP_ALLOCATION,PETSC_NULL);CHKERRQ(ierr);
1815     (*B)->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_SeqSBAIJ;
1816     (*B)->ops->iccfactorsymbolic      = MatICCFactorSymbolic_SeqSBAIJ;
1817   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Factor type not supported");
1818   (*B)->factortype = ftype;
1819   PetscFunctionReturn(0);
1820 }
1821 EXTERN_C_END
1822 
1823 EXTERN_C_BEGIN
1824 #undef __FUNCT__
1825 #define __FUNCT__ "MatGetFactorAvailable_seqsbaij_petsc"
1826 PetscErrorCode MatGetFactorAvailable_seqsbaij_petsc(Mat A,MatFactorType ftype,PetscBool  *flg)
1827 {
1828   PetscFunctionBegin;
1829   if (ftype == MAT_FACTOR_CHOLESKY || ftype == MAT_FACTOR_ICC) {
1830     *flg = PETSC_TRUE;
1831   } else {
1832     *flg = PETSC_FALSE;
1833   }
1834   PetscFunctionReturn(0);
1835 }
1836 EXTERN_C_END
1837 
1838 EXTERN_C_BEGIN
1839 #if defined(PETSC_HAVE_MUMPS)
1840 extern PetscErrorCode MatGetFactor_sbaij_mumps(Mat,MatFactorType,Mat*);
1841 #endif
1842 #if defined(PETSC_HAVE_SPOOLES)
1843 extern PetscErrorCode MatGetFactor_seqsbaij_spooles(Mat,MatFactorType,Mat*);
1844 #endif
1845 #if defined(PETSC_HAVE_PASTIX)
1846 extern PetscErrorCode MatGetFactor_seqsbaij_pastix(Mat,MatFactorType,Mat*);
1847 #endif
1848 #if defined(PETSC_HAVE_CHOLMOD)
1849 extern PetscErrorCode MatGetFactor_seqsbaij_cholmod(Mat,MatFactorType,Mat*);
1850 #endif
1851 extern PetscErrorCode MatGetFactor_seqsbaij_sbstrm(Mat,MatFactorType,Mat*);
1852 EXTERN_C_END
1853 
1854 /*MC
1855   MATSEQSBAIJ - MATSEQSBAIJ = "seqsbaij" - A matrix type to be used for sequential symmetric block sparse matrices,
1856   based on block compressed sparse row format.  Only the upper triangular portion of the matrix is stored.
1857 
1858   For complex numbers by default this matrix is symmetric, NOT Hermitian symmetric. To make it Hermitian symmetric you
1859   can call MatSetOption(Mat, MAT_HERMITIAN); after MatAssemblyEnd()
1860 
1861   Options Database Keys:
1862   . -mat_type seqsbaij - sets the matrix type to "seqsbaij" during a call to MatSetFromOptions()
1863 
1864   Notes: By default if you insert values into the lower triangular part of the matrix they are simply ignored (since they are not
1865      stored and it is assumed they symmetric to the upper triangular). If you call MatSetOption(Mat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_FALSE) or use
1866      the options database -mat_ignore_lower_triangular false it will generate an error if you try to set a value in the lower triangular portion.
1867 
1868 
1869   Level: beginner
1870 
1871   .seealso: MatCreateSeqSBAIJ
1872 M*/
1873 
1874 EXTERN_C_BEGIN
1875 extern PetscErrorCode  MatConvert_SeqSBAIJ_SeqSBSTRM(Mat, MatType,MatReuse,Mat*);
1876 EXTERN_C_END
1877 
1878 
1879 EXTERN_C_BEGIN
1880 #undef __FUNCT__
1881 #define __FUNCT__ "MatCreate_SeqSBAIJ"
1882 PetscErrorCode  MatCreate_SeqSBAIJ(Mat B)
1883 {
1884   Mat_SeqSBAIJ   *b;
1885   PetscErrorCode ierr;
1886   PetscMPIInt    size;
1887   PetscBool      no_unroll = PETSC_FALSE,no_inode = PETSC_FALSE;
1888 
1889   PetscFunctionBegin;
1890   ierr = MPI_Comm_size(((PetscObject)B)->comm,&size);CHKERRQ(ierr);
1891   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Comm must be of size 1");
1892 
1893   ierr    = PetscNewLog(B,Mat_SeqSBAIJ,&b);CHKERRQ(ierr);
1894   B->data = (void*)b;
1895   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
1896   B->ops->destroy     = MatDestroy_SeqSBAIJ;
1897   B->ops->view        = MatView_SeqSBAIJ;
1898   b->row              = 0;
1899   b->icol             = 0;
1900   b->reallocs         = 0;
1901   b->saved_values     = 0;
1902   b->inode.limit      = 5;
1903   b->inode.max_limit  = 5;
1904 
1905   b->roworiented      = PETSC_TRUE;
1906   b->nonew            = 0;
1907   b->diag             = 0;
1908   b->solve_work       = 0;
1909   b->mult_work        = 0;
1910   B->spptr            = 0;
1911   B->info.nz_unneeded = (PetscReal)b->maxnz*b->bs2;
1912   b->keepnonzeropattern   = PETSC_FALSE;
1913   b->xtoy             = 0;
1914   b->XtoY             = 0;
1915 
1916   b->inew             = 0;
1917   b->jnew             = 0;
1918   b->anew             = 0;
1919   b->a2anew           = 0;
1920   b->permute          = PETSC_FALSE;
1921 
1922   b->ignore_ltriangular = PETSC_TRUE;
1923   ierr = PetscOptionsGetBool(((PetscObject)B)->prefix,"-mat_ignore_lower_triangular",&b->ignore_ltriangular,PETSC_NULL);CHKERRQ(ierr);
1924 
1925   b->getrow_utriangular = PETSC_FALSE;
1926   ierr = PetscOptionsGetBool(((PetscObject)B)->prefix,"-mat_getrow_uppertriangular",&b->getrow_utriangular,PETSC_NULL);CHKERRQ(ierr);
1927 
1928 #if defined(PETSC_HAVE_PASTIX)
1929   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_pastix_C",
1930 					   "MatGetFactor_seqsbaij_pastix",
1931 					   MatGetFactor_seqsbaij_pastix);CHKERRQ(ierr);
1932 #endif
1933 #if defined(PETSC_HAVE_SPOOLES)
1934   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_spooles_C",
1935                                      "MatGetFactor_seqsbaij_spooles",
1936                                      MatGetFactor_seqsbaij_spooles);CHKERRQ(ierr);
1937 #endif
1938 #if defined(PETSC_HAVE_MUMPS)
1939   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_mumps_C",
1940                                      "MatGetFactor_sbaij_mumps",
1941                                      MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
1942 #endif
1943 #if defined(PETSC_HAVE_CHOLMOD)
1944   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_cholmod_C",
1945                                      "MatGetFactor_seqsbaij_cholmod",
1946                                      MatGetFactor_seqsbaij_cholmod);CHKERRQ(ierr);
1947 #endif
1948   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactorAvailable_petsc_C",
1949                                      "MatGetFactorAvailable_seqsbaij_petsc",
1950                                      MatGetFactorAvailable_seqsbaij_petsc);CHKERRQ(ierr);
1951   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_petsc_C",
1952                                      "MatGetFactor_seqsbaij_petsc",
1953                                      MatGetFactor_seqsbaij_petsc);CHKERRQ(ierr);
1954   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_sbstrm_C",
1955                                      "MatGetFactor_seqsbaij_sbstrm",
1956                                      MatGetFactor_seqsbaij_sbstrm);CHKERRQ(ierr);
1957   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatStoreValues_C",
1958                                      "MatStoreValues_SeqSBAIJ",
1959                                      MatStoreValues_SeqSBAIJ);CHKERRQ(ierr);
1960   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatRetrieveValues_C",
1961                                      "MatRetrieveValues_SeqSBAIJ",
1962                                      (void*)MatRetrieveValues_SeqSBAIJ);CHKERRQ(ierr);
1963   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqSBAIJSetColumnIndices_C",
1964                                      "MatSeqSBAIJSetColumnIndices_SeqSBAIJ",
1965                                      MatSeqSBAIJSetColumnIndices_SeqSBAIJ);CHKERRQ(ierr);
1966   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqsbaij_seqaij_C",
1967                                      "MatConvert_SeqSBAIJ_SeqAIJ",
1968                                       MatConvert_SeqSBAIJ_SeqAIJ);CHKERRQ(ierr);
1969   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqsbaij_seqbaij_C",
1970                                      "MatConvert_SeqSBAIJ_SeqBAIJ",
1971                                       MatConvert_SeqSBAIJ_SeqBAIJ);CHKERRQ(ierr);
1972   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqSBAIJSetPreallocation_C",
1973                                      "MatSeqSBAIJSetPreallocation_SeqSBAIJ",
1974                                      MatSeqSBAIJSetPreallocation_SeqSBAIJ);CHKERRQ(ierr);
1975   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqsbaij_seqsbstrm_C",
1976                                      "MatConvert_SeqSBAIJ_SeqSBSTRM",
1977                                       MatConvert_SeqSBAIJ_SeqSBSTRM);CHKERRQ(ierr);
1978 
1979   B->symmetric                  = PETSC_TRUE;
1980   B->structurally_symmetric     = PETSC_TRUE;
1981   B->symmetric_set              = PETSC_TRUE;
1982   B->structurally_symmetric_set = PETSC_TRUE;
1983   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQSBAIJ);CHKERRQ(ierr);
1984 
1985   ierr = PetscOptionsBegin(((PetscObject)B)->comm,((PetscObject)B)->prefix,"Options for SEQSBAIJ matrix","Mat");CHKERRQ(ierr);
1986     ierr = PetscOptionsBool("-mat_no_unroll","Do not optimize for inodes (slower)",PETSC_NULL,no_unroll,&no_unroll,PETSC_NULL);CHKERRQ(ierr);
1987     if (no_unroll) {ierr = PetscInfo(B,"Not using Inode routines due to -mat_no_unroll\n");CHKERRQ(ierr);}
1988     ierr = PetscOptionsBool("-mat_no_inode","Do not optimize for inodes (slower)",PETSC_NULL,no_inode,&no_inode,PETSC_NULL);CHKERRQ(ierr);
1989     if (no_inode) {ierr = PetscInfo(B,"Not using Inode routines due to -mat_no_inode\n");CHKERRQ(ierr);}
1990     ierr = PetscOptionsInt("-mat_inode_limit","Do not use inodes larger then this value",PETSC_NULL,b->inode.limit,&b->inode.limit,PETSC_NULL);CHKERRQ(ierr);
1991   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1992   b->inode.use = (PetscBool)(!(no_unroll || no_inode));
1993   if (b->inode.limit > b->inode.max_limit) b->inode.limit = b->inode.max_limit;
1994 
1995   PetscFunctionReturn(0);
1996 }
1997 EXTERN_C_END
1998 
1999 #undef __FUNCT__
2000 #define __FUNCT__ "MatSeqSBAIJSetPreallocation"
2001 /*@C
2002    MatSeqSBAIJSetPreallocation - Creates a sparse symmetric matrix in block AIJ (block
2003    compressed row) format.  For good matrix assembly performance the
2004    user should preallocate the matrix storage by setting the parameter nz
2005    (or the array nnz).  By setting these parameters accurately, performance
2006    during matrix assembly can be increased by more than a factor of 50.
2007 
2008    Collective on Mat
2009 
2010    Input Parameters:
2011 +  A - the symmetric matrix
2012 .  bs - size of block
2013 .  nz - number of block nonzeros per block row (same for all rows)
2014 -  nnz - array containing the number of block nonzeros in the upper triangular plus
2015          diagonal portion of each block (possibly different for each block row) or PETSC_NULL
2016 
2017    Options Database Keys:
2018 .   -mat_no_unroll - uses code that does not unroll the loops in the
2019                      block calculations (much slower)
2020 .    -mat_block_size - size of the blocks to use (only works if a negative bs is passed in
2021 
2022    Level: intermediate
2023 
2024    Notes:
2025    Specify the preallocated storage with either nz or nnz (not both).
2026    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
2027    allocation.  See the <a href="../../docs/manual.pdf#nameddest=ch_mat">Mat chapter of the users manual</a> for details.
2028 
2029    You can call MatGetInfo() to get information on how effective the preallocation was;
2030    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
2031    You can also run with the option -info and look for messages with the string
2032    malloc in them to see if additional memory allocation was needed.
2033 
2034    If the nnz parameter is given then the nz parameter is ignored
2035 
2036 
2037 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateSBAIJ()
2038 @*/
2039 PetscErrorCode  MatSeqSBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt nz,const PetscInt nnz[])
2040 {
2041   PetscErrorCode ierr;
2042 
2043   PetscFunctionBegin;
2044   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
2045   PetscValidType(B,1);
2046   PetscValidLogicalCollectiveInt(B,bs,2);
2047   ierr = PetscTryMethod(B,"MatSeqSBAIJSetPreallocation_C",(Mat,PetscInt,PetscInt,const PetscInt[]),(B,bs,nz,nnz));CHKERRQ(ierr);
2048   PetscFunctionReturn(0);
2049 }
2050 
2051 #undef __FUNCT__
2052 #define __FUNCT__ "MatCreateSeqSBAIJ"
2053 /*@C
2054    MatCreateSeqSBAIJ - Creates a sparse symmetric matrix in block AIJ (block
2055    compressed row) format.  For good matrix assembly performance the
2056    user should preallocate the matrix storage by setting the parameter nz
2057    (or the array nnz).  By setting these parameters accurately, performance
2058    during matrix assembly can be increased by more than a factor of 50.
2059 
2060    Collective on MPI_Comm
2061 
2062    Input Parameters:
2063 +  comm - MPI communicator, set to PETSC_COMM_SELF
2064 .  bs - size of block
2065 .  m - number of rows, or number of columns
2066 .  nz - number of block nonzeros per block row (same for all rows)
2067 -  nnz - array containing the number of block nonzeros in the upper triangular plus
2068          diagonal portion of each block (possibly different for each block row) or PETSC_NULL
2069 
2070    Output Parameter:
2071 .  A - the symmetric matrix
2072 
2073    Options Database Keys:
2074 .   -mat_no_unroll - uses code that does not unroll the loops in the
2075                      block calculations (much slower)
2076 .    -mat_block_size - size of the blocks to use
2077 
2078    Level: intermediate
2079 
2080    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
2081    MatXXXXSetPreallocation() paradgm instead of this routine directly.
2082    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
2083 
2084    Notes:
2085    The number of rows and columns must be divisible by blocksize.
2086    This matrix type does not support complex Hermitian operation.
2087 
2088    Specify the preallocated storage with either nz or nnz (not both).
2089    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
2090    allocation.  See the <a href="../../docs/manual.pdf#nameddest=ch_mat">Mat chapter of the users manual</a> for details.
2091 
2092    If the nnz parameter is given then the nz parameter is ignored
2093 
2094 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateSBAIJ()
2095 @*/
2096 PetscErrorCode  MatCreateSeqSBAIJ(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
2097 {
2098   PetscErrorCode ierr;
2099 
2100   PetscFunctionBegin;
2101   ierr = MatCreate(comm,A);CHKERRQ(ierr);
2102   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
2103   ierr = MatSetType(*A,MATSEQSBAIJ);CHKERRQ(ierr);
2104   ierr = MatSeqSBAIJSetPreallocation_SeqSBAIJ(*A,bs,nz,(PetscInt*)nnz);CHKERRQ(ierr);
2105   PetscFunctionReturn(0);
2106 }
2107 
2108 #undef __FUNCT__
2109 #define __FUNCT__ "MatDuplicate_SeqSBAIJ"
2110 PetscErrorCode MatDuplicate_SeqSBAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
2111 {
2112   Mat            C;
2113   Mat_SeqSBAIJ   *c,*a = (Mat_SeqSBAIJ*)A->data;
2114   PetscErrorCode ierr;
2115   PetscInt       i,mbs = a->mbs,nz = a->nz,bs2 =a->bs2;
2116 
2117   PetscFunctionBegin;
2118   if (a->i[mbs] != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Corrupt matrix");
2119 
2120   *B = 0;
2121   ierr = MatCreate(((PetscObject)A)->comm,&C);CHKERRQ(ierr);
2122   ierr = MatSetSizes(C,A->rmap->N,A->cmap->n,A->rmap->N,A->cmap->n);CHKERRQ(ierr);
2123   ierr = MatSetType(C,MATSEQSBAIJ);CHKERRQ(ierr);
2124   ierr = PetscMemcpy(C->ops,A->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
2125   c    = (Mat_SeqSBAIJ*)C->data;
2126 
2127   C->preallocated       = PETSC_TRUE;
2128   C->factortype         = A->factortype;
2129   c->row                = 0;
2130   c->icol               = 0;
2131   c->saved_values       = 0;
2132   c->keepnonzeropattern = a->keepnonzeropattern;
2133   C->assembled          = PETSC_TRUE;
2134 
2135   ierr = PetscLayoutReference(A->rmap,&C->rmap);CHKERRQ(ierr);
2136   ierr = PetscLayoutReference(A->cmap,&C->cmap);CHKERRQ(ierr);
2137   c->bs2  = a->bs2;
2138   c->mbs  = a->mbs;
2139   c->nbs  = a->nbs;
2140 
2141   if  (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
2142     c->imax           = a->imax;
2143     c->ilen           = a->ilen;
2144     c->free_imax_ilen = PETSC_FALSE;
2145   } else {
2146     ierr = PetscMalloc2((mbs+1),PetscInt,&c->imax,(mbs+1),PetscInt,&c->ilen);CHKERRQ(ierr);
2147     ierr = PetscLogObjectMemory(C,2*(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
2148     for (i=0; i<mbs; i++) {
2149       c->imax[i] = a->imax[i];
2150       c->ilen[i] = a->ilen[i];
2151     }
2152     c->free_imax_ilen = PETSC_TRUE;
2153   }
2154 
2155   /* allocate the matrix space */
2156   if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
2157     ierr = PetscMalloc(bs2*nz*sizeof(MatScalar),&c->a);CHKERRQ(ierr);
2158     ierr = PetscLogObjectMemory(C,nz*bs2*sizeof(MatScalar));CHKERRQ(ierr);
2159     c->i            = a->i;
2160     c->j            = a->j;
2161     c->singlemalloc = PETSC_FALSE;
2162     c->free_a       = PETSC_TRUE;
2163     c->free_ij      = PETSC_FALSE;
2164     c->parent       = A;
2165     ierr            = PetscObjectReference((PetscObject)A);CHKERRQ(ierr);
2166     ierr            = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
2167     ierr            = MatSetOption(C,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
2168   } else {
2169     ierr = PetscMalloc3(bs2*nz,MatScalar,&c->a,nz,PetscInt,&c->j,mbs+1,PetscInt,&c->i);CHKERRQ(ierr);
2170     ierr = PetscMemcpy(c->i,a->i,(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
2171     ierr = PetscLogObjectMemory(C,(mbs+1)*sizeof(PetscInt) + nz*(bs2*sizeof(MatScalar) + sizeof(PetscInt)));CHKERRQ(ierr);
2172     c->singlemalloc = PETSC_TRUE;
2173     c->free_a       = PETSC_TRUE;
2174     c->free_ij      = PETSC_TRUE;
2175   }
2176   if (mbs > 0) {
2177     if (cpvalues != MAT_SHARE_NONZERO_PATTERN) {
2178       ierr = PetscMemcpy(c->j,a->j,nz*sizeof(PetscInt));CHKERRQ(ierr);
2179     }
2180     if (cpvalues == MAT_COPY_VALUES) {
2181       ierr = PetscMemcpy(c->a,a->a,bs2*nz*sizeof(MatScalar));CHKERRQ(ierr);
2182     } else {
2183       ierr = PetscMemzero(c->a,bs2*nz*sizeof(MatScalar));CHKERRQ(ierr);
2184     }
2185     if (a->jshort) {
2186       /* cannot share jshort, it is reallocated in MatAssemblyEnd_SeqSBAIJ() */
2187       /* if the parent matrix is reassembled, this child matrix will never notice */
2188       ierr = PetscMalloc(nz*sizeof(unsigned short),&c->jshort);CHKERRQ(ierr);
2189       ierr = PetscLogObjectMemory(C,nz*sizeof(unsigned short));CHKERRQ(ierr);
2190       ierr = PetscMemcpy(c->jshort,a->jshort,nz*sizeof(unsigned short));CHKERRQ(ierr);
2191       c->free_jshort = PETSC_TRUE;
2192     }
2193   }
2194 
2195   c->roworiented = a->roworiented;
2196   c->nonew       = a->nonew;
2197 
2198   if (a->diag) {
2199     if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
2200       c->diag      = a->diag;
2201       c->free_diag = PETSC_FALSE;
2202     } else {
2203       ierr = PetscMalloc(mbs*sizeof(PetscInt),&c->diag);CHKERRQ(ierr);
2204       ierr = PetscLogObjectMemory(C,mbs*sizeof(PetscInt));CHKERRQ(ierr);
2205       for (i=0; i<mbs; i++) {
2206 	c->diag[i] = a->diag[i];
2207       }
2208       c->free_diag = PETSC_TRUE;
2209     }
2210   }
2211   c->nz           = a->nz;
2212   c->maxnz        = a->nz; /* Since we allocate exactly the right amount */
2213   c->solve_work   = 0;
2214   c->mult_work    = 0;
2215   *B = C;
2216   ierr = PetscFListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
2217   PetscFunctionReturn(0);
2218 }
2219 
2220 #undef __FUNCT__
2221 #define __FUNCT__ "MatLoad_SeqSBAIJ"
2222 PetscErrorCode MatLoad_SeqSBAIJ(Mat newmat,PetscViewer viewer)
2223 {
2224   Mat_SeqSBAIJ   *a;
2225   PetscErrorCode ierr;
2226   int            fd;
2227   PetscMPIInt    size;
2228   PetscInt       i,nz,header[4],*rowlengths=0,M,N,bs=1;
2229   PetscInt       *mask,mbs,*jj,j,rowcount,nzcount,k,*s_browlengths,maskcount;
2230   PetscInt       kmax,jcount,block,idx,point,nzcountb,extra_rows,rows,cols;
2231   PetscInt       *masked,nmask,tmp,bs2,ishift;
2232   PetscScalar    *aa;
2233   MPI_Comm       comm = ((PetscObject)viewer)->comm;
2234 
2235   PetscFunctionBegin;
2236   ierr = PetscOptionsGetInt(((PetscObject)newmat)->prefix,"-matload_block_size",&bs,PETSC_NULL);CHKERRQ(ierr);
2237   bs2  = bs*bs;
2238 
2239   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2240   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"view must have one processor");
2241   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
2242   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
2243   if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not Mat object");
2244   M = header[1]; N = header[2]; nz = header[3];
2245 
2246   if (header[3] < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as SeqSBAIJ");
2247 
2248   if (M != N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Can only do square matrices");
2249 
2250   /*
2251      This code adds extra rows to make sure the number of rows is
2252     divisible by the blocksize
2253   */
2254   mbs        = M/bs;
2255   extra_rows = bs - M + bs*(mbs);
2256   if (extra_rows == bs) extra_rows = 0;
2257   else                  mbs++;
2258   if (extra_rows) {
2259     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
2260   }
2261 
2262   /* Set global sizes if not already set */
2263   if (newmat->rmap->n < 0 && newmat->rmap->N < 0 && newmat->cmap->n < 0 && newmat->cmap->N < 0) {
2264     ierr = MatSetSizes(newmat,PETSC_DECIDE,PETSC_DECIDE,M+extra_rows,N+extra_rows);CHKERRQ(ierr);
2265   } else { /* Check if the matrix global sizes are correct */
2266     ierr = MatGetSize(newmat,&rows,&cols);CHKERRQ(ierr);
2267     if (M != rows ||  N != cols) SETERRQ4(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix in file of different length (%d, %d) than the input matrix (%d, %d)",M,N,rows,cols);
2268   }
2269 
2270   /* read in row lengths */
2271   ierr = PetscMalloc((M+extra_rows)*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
2272   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
2273   for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
2274 
2275   /* read in column indices */
2276   ierr = PetscMalloc((nz+extra_rows)*sizeof(PetscInt),&jj);CHKERRQ(ierr);
2277   ierr = PetscBinaryRead(fd,jj,nz,PETSC_INT);CHKERRQ(ierr);
2278   for (i=0; i<extra_rows; i++) jj[nz+i] = M+i;
2279 
2280   /* loop over row lengths determining block row lengths */
2281   ierr     = PetscMalloc(mbs*sizeof(PetscInt),&s_browlengths);CHKERRQ(ierr);
2282   ierr     = PetscMemzero(s_browlengths,mbs*sizeof(PetscInt));CHKERRQ(ierr);
2283   ierr     = PetscMalloc2(mbs,PetscInt,&mask,mbs,PetscInt,&masked);CHKERRQ(ierr);
2284   ierr     = PetscMemzero(mask,mbs*sizeof(PetscInt));CHKERRQ(ierr);
2285   rowcount = 0;
2286   nzcount  = 0;
2287   for (i=0; i<mbs; i++) {
2288     nmask = 0;
2289     for (j=0; j<bs; j++) {
2290       kmax = rowlengths[rowcount];
2291       for (k=0; k<kmax; k++) {
2292         tmp = jj[nzcount++]/bs;   /* block col. index */
2293         if (!mask[tmp] && tmp >= i) {masked[nmask++] = tmp; mask[tmp] = 1;}
2294       }
2295       rowcount++;
2296     }
2297     s_browlengths[i] += nmask;
2298 
2299     /* zero out the mask elements we set */
2300     for (j=0; j<nmask; j++) mask[masked[j]] = 0;
2301   }
2302 
2303   /* Do preallocation */
2304   ierr = MatSeqSBAIJSetPreallocation_SeqSBAIJ(newmat,bs,0,s_browlengths);CHKERRQ(ierr);
2305   a = (Mat_SeqSBAIJ*)newmat->data;
2306 
2307   /* set matrix "i" values */
2308   a->i[0] = 0;
2309   for (i=1; i<= mbs; i++) {
2310     a->i[i]      = a->i[i-1] + s_browlengths[i-1];
2311     a->ilen[i-1] = s_browlengths[i-1];
2312   }
2313   a->nz = a->i[mbs];
2314 
2315   /* read in nonzero values */
2316   ierr = PetscMalloc((nz+extra_rows)*sizeof(PetscScalar),&aa);CHKERRQ(ierr);
2317   ierr = PetscBinaryRead(fd,aa,nz,PETSC_SCALAR);CHKERRQ(ierr);
2318   for (i=0; i<extra_rows; i++) aa[nz+i] = 1.0;
2319 
2320   /* set "a" and "j" values into matrix */
2321   nzcount = 0; jcount = 0;
2322   for (i=0; i<mbs; i++) {
2323     nzcountb = nzcount;
2324     nmask    = 0;
2325     for (j=0; j<bs; j++) {
2326       kmax = rowlengths[i*bs+j];
2327       for (k=0; k<kmax; k++) {
2328         tmp = jj[nzcount++]/bs; /* block col. index */
2329         if (!mask[tmp] && tmp >= i) { masked[nmask++] = tmp; mask[tmp] = 1;}
2330       }
2331     }
2332     /* sort the masked values */
2333     ierr = PetscSortInt(nmask,masked);CHKERRQ(ierr);
2334 
2335     /* set "j" values into matrix */
2336     maskcount = 1;
2337     for (j=0; j<nmask; j++) {
2338       a->j[jcount++]  = masked[j];
2339       mask[masked[j]] = maskcount++;
2340     }
2341 
2342     /* set "a" values into matrix */
2343     ishift = bs2*a->i[i];
2344     for (j=0; j<bs; j++) {
2345       kmax = rowlengths[i*bs+j];
2346       for (k=0; k<kmax; k++) {
2347         tmp       = jj[nzcountb]/bs ; /* block col. index */
2348         if (tmp >= i){
2349           block     = mask[tmp] - 1;
2350           point     = jj[nzcountb] - bs*tmp;
2351           idx       = ishift + bs2*block + j + bs*point;
2352           a->a[idx] = aa[nzcountb];
2353         }
2354         nzcountb++;
2355       }
2356     }
2357     /* zero out the mask elements we set */
2358     for (j=0; j<nmask; j++) mask[masked[j]] = 0;
2359   }
2360   if (jcount != a->nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Bad binary matrix");
2361 
2362   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
2363   ierr = PetscFree(s_browlengths);CHKERRQ(ierr);
2364   ierr = PetscFree(aa);CHKERRQ(ierr);
2365   ierr = PetscFree(jj);CHKERRQ(ierr);
2366   ierr = PetscFree2(mask,masked);CHKERRQ(ierr);
2367 
2368   ierr = MatAssemblyBegin(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2369   ierr = MatAssemblyEnd(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2370   ierr = MatView_Private(newmat);CHKERRQ(ierr);
2371   PetscFunctionReturn(0);
2372 }
2373 
2374 #undef __FUNCT__
2375 #define __FUNCT__ "MatCreateSeqSBAIJWithArrays"
2376 /*@
2377      MatCreateSeqSBAIJWithArrays - Creates an sequential SBAIJ matrix using matrix elements
2378               (upper triangular entries in CSR format) provided by the user.
2379 
2380      Collective on MPI_Comm
2381 
2382    Input Parameters:
2383 +  comm - must be an MPI communicator of size 1
2384 .  bs - size of block
2385 .  m - number of rows
2386 .  n - number of columns
2387 .  i - row indices
2388 .  j - column indices
2389 -  a - matrix values
2390 
2391    Output Parameter:
2392 .  mat - the matrix
2393 
2394    Level: advanced
2395 
2396    Notes:
2397        The i, j, and a arrays are not copied by this routine, the user must free these arrays
2398     once the matrix is destroyed
2399 
2400        You cannot set new nonzero locations into this matrix, that will generate an error.
2401 
2402        The i and j indices are 0 based
2403 
2404        When block size is greater than 1 the matrix values must be stored using the SBAIJ storage format (see the SBAIJ code to determine this). For block size of 1
2405        it is the regular CSR format excluding the lower triangular elements.
2406 
2407 .seealso: MatCreate(), MatCreateSBAIJ(), MatCreateSeqSBAIJ()
2408 
2409 @*/
2410 PetscErrorCode  MatCreateSeqSBAIJWithArrays(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt* i,PetscInt*j,PetscScalar *a,Mat *mat)
2411 {
2412   PetscErrorCode ierr;
2413   PetscInt       ii;
2414   Mat_SeqSBAIJ   *sbaij;
2415 
2416   PetscFunctionBegin;
2417   if (bs != 1) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"block size %D > 1 is not supported yet",bs);
2418   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
2419 
2420   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
2421   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
2422   ierr = MatSetType(*mat,MATSEQSBAIJ);CHKERRQ(ierr);
2423   ierr = MatSeqSBAIJSetPreallocation_SeqSBAIJ(*mat,bs,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
2424   sbaij = (Mat_SeqSBAIJ*)(*mat)->data;
2425   ierr = PetscMalloc2(m,PetscInt,&sbaij->imax,m,PetscInt,&sbaij->ilen);CHKERRQ(ierr);
2426   ierr = PetscLogObjectMemory(*mat,2*m*sizeof(PetscInt));CHKERRQ(ierr);
2427 
2428   sbaij->i = i;
2429   sbaij->j = j;
2430   sbaij->a = a;
2431   sbaij->singlemalloc = PETSC_FALSE;
2432   sbaij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
2433   sbaij->free_a       = PETSC_FALSE;
2434   sbaij->free_ij      = PETSC_FALSE;
2435 
2436   for (ii=0; ii<m; ii++) {
2437     sbaij->ilen[ii] = sbaij->imax[ii] = i[ii+1] - i[ii];
2438 #if defined(PETSC_USE_DEBUG)
2439     if (i[ii+1] - i[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row length in i (row indices) row = %d length = %d",ii,i[ii+1] - i[ii]);
2440 #endif
2441   }
2442 #if defined(PETSC_USE_DEBUG)
2443   for (ii=0; ii<sbaij->i[m]; ii++) {
2444     if (j[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %d index = %d",ii,j[ii]);
2445     if (j[ii] > n - 1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column index to large at location = %d index = %d",ii,j[ii]);
2446   }
2447 #endif
2448 
2449   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2450   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2451   PetscFunctionReturn(0);
2452 }
2453 
2454 
2455 
2456 
2457 
2458