xref: /petsc/src/mat/impls/sbaij/seq/sbaij.c (revision f73d5cc4fab9985badaa1a29b152f456bf59ad34)
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 = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
583   ierr = PetscTypeCompare((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,-PetscMax(A->rmap->bs,1),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, newbs = PetscAbs(bs);
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   if (bs < 0) {
1587     ierr = PetscOptionsBegin(((PetscObject)B)->comm,((PetscObject)B)->prefix,"Options for MPISBAIJ matrix","Mat");CHKERRQ(ierr);
1588       ierr = PetscOptionsInt("-mat_block_size","Set the blocksize used to store the matrix","MatSeqSBAIJSetPreallocation",newbs,&newbs,PETSC_NULL);CHKERRQ(ierr);
1589     ierr = PetscOptionsEnd();CHKERRQ(ierr);
1590     bs   = PetscAbs(bs);
1591   }
1592   if (nnz && newbs != bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Cannot change blocksize from command line if setting nnz");
1593   bs = newbs;
1594 
1595   ierr = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
1596   ierr = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
1597   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1598   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1599 
1600   mbs  = B->rmap->N/bs;
1601   bs2  = bs*bs;
1602 
1603   if (mbs*bs != B->rmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Number rows, cols must be divisible by blocksize");
1604 
1605   if (nz == MAT_SKIP_ALLOCATION) {
1606     skipallocation = PETSC_TRUE;
1607     nz             = 0;
1608   }
1609 
1610   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 3;
1611   if (nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %D",nz);
1612   if (nnz) {
1613     for (i=0; i<mbs; i++) {
1614       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]);
1615       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);
1616     }
1617   }
1618 
1619   B->ops->mult             = MatMult_SeqSBAIJ_N;
1620   B->ops->multadd          = MatMultAdd_SeqSBAIJ_N;
1621   B->ops->multtranspose    = MatMult_SeqSBAIJ_N;
1622   B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_N;
1623   ierr  = PetscOptionsGetBool(((PetscObject)B)->prefix,"-mat_no_unroll",&flg,PETSC_NULL);CHKERRQ(ierr);
1624   if (!flg) {
1625     switch (bs) {
1626     case 1:
1627       B->ops->mult             = MatMult_SeqSBAIJ_1;
1628       B->ops->multadd          = MatMultAdd_SeqSBAIJ_1;
1629       B->ops->multtranspose    = MatMult_SeqSBAIJ_1;
1630       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_1;
1631       break;
1632     case 2:
1633       B->ops->mult             = MatMult_SeqSBAIJ_2;
1634       B->ops->multadd          = MatMultAdd_SeqSBAIJ_2;
1635       B->ops->multtranspose    = MatMult_SeqSBAIJ_2;
1636       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_2;
1637       break;
1638     case 3:
1639       B->ops->mult             = MatMult_SeqSBAIJ_3;
1640       B->ops->multadd          = MatMultAdd_SeqSBAIJ_3;
1641       B->ops->multtranspose    = MatMult_SeqSBAIJ_3;
1642       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_3;
1643       break;
1644     case 4:
1645       B->ops->mult             = MatMult_SeqSBAIJ_4;
1646       B->ops->multadd          = MatMultAdd_SeqSBAIJ_4;
1647       B->ops->multtranspose    = MatMult_SeqSBAIJ_4;
1648       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_4;
1649       break;
1650     case 5:
1651       B->ops->mult             = MatMult_SeqSBAIJ_5;
1652       B->ops->multadd          = MatMultAdd_SeqSBAIJ_5;
1653       B->ops->multtranspose    = MatMult_SeqSBAIJ_5;
1654       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_5;
1655       break;
1656     case 6:
1657       B->ops->mult             = MatMult_SeqSBAIJ_6;
1658       B->ops->multadd          = MatMultAdd_SeqSBAIJ_6;
1659       B->ops->multtranspose    = MatMult_SeqSBAIJ_6;
1660       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_6;
1661       break;
1662     case 7:
1663       B->ops->mult             = MatMult_SeqSBAIJ_7;
1664       B->ops->multadd          = MatMultAdd_SeqSBAIJ_7;
1665       B->ops->multtranspose    = MatMult_SeqSBAIJ_7;
1666       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_7;
1667       break;
1668     }
1669   }
1670 
1671   b->mbs = mbs;
1672   b->nbs = mbs;
1673   if (!skipallocation) {
1674     if (!b->imax) {
1675       ierr = PetscMalloc2(mbs,PetscInt,&b->imax,mbs,PetscInt,&b->ilen);CHKERRQ(ierr);
1676       b->free_imax_ilen = PETSC_TRUE;
1677       ierr = PetscLogObjectMemory(B,2*mbs*sizeof(PetscInt));CHKERRQ(ierr);
1678     }
1679     if (!nnz) {
1680       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
1681       else if (nz <= 0)        nz = 1;
1682       for (i=0; i<mbs; i++) {
1683         b->imax[i] = nz;
1684       }
1685       nz = nz*mbs; /* total nz */
1686     } else {
1687       nz = 0;
1688       for (i=0; i<mbs; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
1689     }
1690     /* b->ilen will count nonzeros in each block row so far. */
1691     for (i=0; i<mbs; i++) { b->ilen[i] = 0;}
1692     /* nz=(nz+mbs)/2; */ /* total diagonal and superdiagonal nonzero blocks */
1693 
1694     /* allocate the matrix space */
1695     ierr = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
1696     ierr = PetscMalloc3(bs2*nz,PetscScalar,&b->a,nz,PetscInt,&b->j,B->rmap->N+1,PetscInt,&b->i);CHKERRQ(ierr);
1697     ierr = PetscLogObjectMemory(B,(B->rmap->N+1)*sizeof(PetscInt)+nz*(bs2*sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
1698     ierr = PetscMemzero(b->a,nz*bs2*sizeof(MatScalar));CHKERRQ(ierr);
1699     ierr = PetscMemzero(b->j,nz*sizeof(PetscInt));CHKERRQ(ierr);
1700     b->singlemalloc = PETSC_TRUE;
1701 
1702     /* pointer to beginning of each row */
1703     b->i[0] = 0;
1704     for (i=1; i<mbs+1; i++) {
1705       b->i[i] = b->i[i-1] + b->imax[i-1];
1706     }
1707     b->free_a     = PETSC_TRUE;
1708     b->free_ij    = PETSC_TRUE;
1709   } else {
1710     b->free_a     = PETSC_FALSE;
1711     b->free_ij    = PETSC_FALSE;
1712   }
1713 
1714   B->rmap->bs     = bs;
1715   b->bs2          = bs2;
1716   b->nz           = 0;
1717   b->maxnz        = nz;
1718 
1719   b->inew             = 0;
1720   b->jnew             = 0;
1721   b->anew             = 0;
1722   b->a2anew           = 0;
1723   b->permute          = PETSC_FALSE;
1724   if (realalloc) {ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);}
1725   PetscFunctionReturn(0);
1726 }
1727 EXTERN_C_END
1728 
1729 /*
1730    This is used to set the numeric factorization for both Cholesky and ICC symbolic factorization
1731 */
1732 #undef __FUNCT__
1733 #define __FUNCT__ "MatSeqSBAIJSetNumericFactorization_inplace"
1734 PetscErrorCode MatSeqSBAIJSetNumericFactorization_inplace(Mat B,PetscBool  natural)
1735 {
1736   PetscErrorCode ierr;
1737   PetscBool      flg = PETSC_FALSE;
1738   PetscInt       bs = B->rmap->bs;
1739 
1740   PetscFunctionBegin;
1741   ierr    = PetscOptionsGetBool(((PetscObject)B)->prefix,"-mat_no_unroll",&flg,PETSC_NULL);CHKERRQ(ierr);
1742   if (flg) bs = 8;
1743 
1744   if (!natural) {
1745     switch (bs) {
1746     case 1:
1747       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_1_inplace;
1748       break;
1749     case 2:
1750       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_2;
1751       break;
1752     case 3:
1753       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_3;
1754       break;
1755     case 4:
1756       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_4;
1757       break;
1758     case 5:
1759       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_5;
1760       break;
1761     case 6:
1762       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_6;
1763       break;
1764     case 7:
1765       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_7;
1766       break;
1767     default:
1768       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_N;
1769       break;
1770     }
1771   } else {
1772     switch (bs) {
1773     case 1:
1774       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_1_NaturalOrdering_inplace;
1775       break;
1776     case 2:
1777       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_2_NaturalOrdering;
1778       break;
1779     case 3:
1780       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_3_NaturalOrdering;
1781       break;
1782     case 4:
1783       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_4_NaturalOrdering;
1784       break;
1785     case 5:
1786       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_5_NaturalOrdering;
1787       break;
1788     case 6:
1789       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_6_NaturalOrdering;
1790       break;
1791     case 7:
1792       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_7_NaturalOrdering;
1793       break;
1794     default:
1795       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_N_NaturalOrdering;
1796       break;
1797     }
1798   }
1799   PetscFunctionReturn(0);
1800 }
1801 
1802 EXTERN_C_BEGIN
1803 extern PetscErrorCode  MatConvert_SeqSBAIJ_SeqAIJ(Mat, MatType,MatReuse,Mat*);
1804 extern PetscErrorCode  MatConvert_SeqSBAIJ_SeqBAIJ(Mat, MatType,MatReuse,Mat*);
1805 EXTERN_C_END
1806 
1807 
1808 EXTERN_C_BEGIN
1809 #undef __FUNCT__
1810 #define __FUNCT__ "MatGetFactor_seqsbaij_petsc"
1811 PetscErrorCode MatGetFactor_seqsbaij_petsc(Mat A,MatFactorType ftype,Mat *B)
1812 {
1813   PetscInt           n = A->rmap->n;
1814   PetscErrorCode     ierr;
1815 
1816   PetscFunctionBegin;
1817   ierr = MatCreate(((PetscObject)A)->comm,B);CHKERRQ(ierr);
1818   ierr = MatSetSizes(*B,n,n,n,n);CHKERRQ(ierr);
1819   if (ftype == MAT_FACTOR_CHOLESKY || ftype == MAT_FACTOR_ICC) {
1820     ierr = MatSetType(*B,MATSEQSBAIJ);CHKERRQ(ierr);
1821     ierr = MatSeqSBAIJSetPreallocation(*B,1,MAT_SKIP_ALLOCATION,PETSC_NULL);CHKERRQ(ierr);
1822     (*B)->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_SeqSBAIJ;
1823     (*B)->ops->iccfactorsymbolic      = MatICCFactorSymbolic_SeqSBAIJ;
1824   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Factor type not supported");
1825   (*B)->factortype = ftype;
1826   PetscFunctionReturn(0);
1827 }
1828 EXTERN_C_END
1829 
1830 EXTERN_C_BEGIN
1831 #undef __FUNCT__
1832 #define __FUNCT__ "MatGetFactorAvailable_seqsbaij_petsc"
1833 PetscErrorCode MatGetFactorAvailable_seqsbaij_petsc(Mat A,MatFactorType ftype,PetscBool  *flg)
1834 {
1835   PetscFunctionBegin;
1836   if (ftype == MAT_FACTOR_CHOLESKY || ftype == MAT_FACTOR_ICC) {
1837     *flg = PETSC_TRUE;
1838   } else {
1839     *flg = PETSC_FALSE;
1840   }
1841   PetscFunctionReturn(0);
1842 }
1843 EXTERN_C_END
1844 
1845 EXTERN_C_BEGIN
1846 #if defined(PETSC_HAVE_MUMPS)
1847 extern PetscErrorCode MatGetFactor_sbaij_mumps(Mat,MatFactorType,Mat*);
1848 #endif
1849 #if defined(PETSC_HAVE_SPOOLES)
1850 extern PetscErrorCode MatGetFactor_seqsbaij_spooles(Mat,MatFactorType,Mat*);
1851 #endif
1852 #if defined(PETSC_HAVE_PASTIX)
1853 extern PetscErrorCode MatGetFactor_seqsbaij_pastix(Mat,MatFactorType,Mat*);
1854 #endif
1855 #if defined(PETSC_HAVE_CHOLMOD)
1856 extern PetscErrorCode MatGetFactor_seqsbaij_cholmod(Mat,MatFactorType,Mat*);
1857 #endif
1858 extern PetscErrorCode MatGetFactor_seqsbaij_sbstrm(Mat,MatFactorType,Mat*);
1859 EXTERN_C_END
1860 
1861 /*MC
1862   MATSEQSBAIJ - MATSEQSBAIJ = "seqsbaij" - A matrix type to be used for sequential symmetric block sparse matrices,
1863   based on block compressed sparse row format.  Only the upper triangular portion of the matrix is stored.
1864 
1865   For complex numbers by default this matrix is symmetric, NOT Hermitian symmetric. To make it Hermitian symmetric you
1866   can call MatSetOption(Mat, MAT_HERMITIAN); after MatAssemblyEnd()
1867 
1868   Options Database Keys:
1869   . -mat_type seqsbaij - sets the matrix type to "seqsbaij" during a call to MatSetFromOptions()
1870 
1871   Notes: By default if you insert values into the lower triangular part of the matrix they are simply ignored (since they are not
1872      stored and it is assumed they symmetric to the upper triangular). If you call MatSetOption(Mat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_FALSE) or use
1873      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.
1874 
1875 
1876   Level: beginner
1877 
1878   .seealso: MatCreateSeqSBAIJ
1879 M*/
1880 
1881 EXTERN_C_BEGIN
1882 extern PetscErrorCode  MatConvert_SeqSBAIJ_SeqSBSTRM(Mat, MatType,MatReuse,Mat*);
1883 EXTERN_C_END
1884 
1885 
1886 EXTERN_C_BEGIN
1887 #undef __FUNCT__
1888 #define __FUNCT__ "MatCreate_SeqSBAIJ"
1889 PetscErrorCode  MatCreate_SeqSBAIJ(Mat B)
1890 {
1891   Mat_SeqSBAIJ   *b;
1892   PetscErrorCode ierr;
1893   PetscMPIInt    size;
1894   PetscBool      no_unroll = PETSC_FALSE,no_inode = PETSC_FALSE;
1895 
1896   PetscFunctionBegin;
1897   ierr = MPI_Comm_size(((PetscObject)B)->comm,&size);CHKERRQ(ierr);
1898   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Comm must be of size 1");
1899 
1900   ierr    = PetscNewLog(B,Mat_SeqSBAIJ,&b);CHKERRQ(ierr);
1901   B->data = (void*)b;
1902   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
1903   B->ops->destroy     = MatDestroy_SeqSBAIJ;
1904   B->ops->view        = MatView_SeqSBAIJ;
1905   b->row              = 0;
1906   b->icol             = 0;
1907   b->reallocs         = 0;
1908   b->saved_values     = 0;
1909   b->inode.limit      = 5;
1910   b->inode.max_limit  = 5;
1911 
1912   b->roworiented      = PETSC_TRUE;
1913   b->nonew            = 0;
1914   b->diag             = 0;
1915   b->solve_work       = 0;
1916   b->mult_work        = 0;
1917   B->spptr            = 0;
1918   B->info.nz_unneeded = (PetscReal)b->maxnz*b->bs2;
1919   b->keepnonzeropattern   = PETSC_FALSE;
1920   b->xtoy             = 0;
1921   b->XtoY             = 0;
1922 
1923   b->inew             = 0;
1924   b->jnew             = 0;
1925   b->anew             = 0;
1926   b->a2anew           = 0;
1927   b->permute          = PETSC_FALSE;
1928 
1929   b->ignore_ltriangular = PETSC_TRUE;
1930   ierr = PetscOptionsGetBool(((PetscObject)B)->prefix,"-mat_ignore_lower_triangular",&b->ignore_ltriangular,PETSC_NULL);CHKERRQ(ierr);
1931 
1932   b->getrow_utriangular = PETSC_FALSE;
1933   ierr = PetscOptionsGetBool(((PetscObject)B)->prefix,"-mat_getrow_uppertriangular",&b->getrow_utriangular,PETSC_NULL);CHKERRQ(ierr);
1934 
1935 #if defined(PETSC_HAVE_PASTIX)
1936   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_pastix_C",
1937 					   "MatGetFactor_seqsbaij_pastix",
1938 					   MatGetFactor_seqsbaij_pastix);CHKERRQ(ierr);
1939 #endif
1940 #if defined(PETSC_HAVE_SPOOLES)
1941   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_spooles_C",
1942                                      "MatGetFactor_seqsbaij_spooles",
1943                                      MatGetFactor_seqsbaij_spooles);CHKERRQ(ierr);
1944 #endif
1945 #if defined(PETSC_HAVE_MUMPS)
1946   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_mumps_C",
1947                                      "MatGetFactor_sbaij_mumps",
1948                                      MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
1949 #endif
1950 #if defined(PETSC_HAVE_CHOLMOD)
1951   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_cholmod_C",
1952                                      "MatGetFactor_seqsbaij_cholmod",
1953                                      MatGetFactor_seqsbaij_cholmod);CHKERRQ(ierr);
1954 #endif
1955   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactorAvailable_petsc_C",
1956                                      "MatGetFactorAvailable_seqsbaij_petsc",
1957                                      MatGetFactorAvailable_seqsbaij_petsc);CHKERRQ(ierr);
1958   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_petsc_C",
1959                                      "MatGetFactor_seqsbaij_petsc",
1960                                      MatGetFactor_seqsbaij_petsc);CHKERRQ(ierr);
1961   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_sbstrm_C",
1962                                      "MatGetFactor_seqsbaij_sbstrm",
1963                                      MatGetFactor_seqsbaij_sbstrm);CHKERRQ(ierr);
1964   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatStoreValues_C",
1965                                      "MatStoreValues_SeqSBAIJ",
1966                                      MatStoreValues_SeqSBAIJ);CHKERRQ(ierr);
1967   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatRetrieveValues_C",
1968                                      "MatRetrieveValues_SeqSBAIJ",
1969                                      (void*)MatRetrieveValues_SeqSBAIJ);CHKERRQ(ierr);
1970   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqSBAIJSetColumnIndices_C",
1971                                      "MatSeqSBAIJSetColumnIndices_SeqSBAIJ",
1972                                      MatSeqSBAIJSetColumnIndices_SeqSBAIJ);CHKERRQ(ierr);
1973   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqsbaij_seqaij_C",
1974                                      "MatConvert_SeqSBAIJ_SeqAIJ",
1975                                       MatConvert_SeqSBAIJ_SeqAIJ);CHKERRQ(ierr);
1976   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqsbaij_seqbaij_C",
1977                                      "MatConvert_SeqSBAIJ_SeqBAIJ",
1978                                       MatConvert_SeqSBAIJ_SeqBAIJ);CHKERRQ(ierr);
1979   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqSBAIJSetPreallocation_C",
1980                                      "MatSeqSBAIJSetPreallocation_SeqSBAIJ",
1981                                      MatSeqSBAIJSetPreallocation_SeqSBAIJ);CHKERRQ(ierr);
1982   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqsbaij_seqsbstrm_C",
1983                                      "MatConvert_SeqSBAIJ_SeqSBSTRM",
1984                                       MatConvert_SeqSBAIJ_SeqSBSTRM);CHKERRQ(ierr);
1985 
1986   B->symmetric                  = PETSC_TRUE;
1987   B->structurally_symmetric     = PETSC_TRUE;
1988   B->symmetric_set              = PETSC_TRUE;
1989   B->structurally_symmetric_set = PETSC_TRUE;
1990   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQSBAIJ);CHKERRQ(ierr);
1991 
1992   ierr = PetscOptionsBegin(((PetscObject)B)->comm,((PetscObject)B)->prefix,"Options for SEQSBAIJ matrix","Mat");CHKERRQ(ierr);
1993     ierr = PetscOptionsBool("-mat_no_unroll","Do not optimize for inodes (slower)",PETSC_NULL,no_unroll,&no_unroll,PETSC_NULL);CHKERRQ(ierr);
1994     if (no_unroll) {ierr = PetscInfo(B,"Not using Inode routines due to -mat_no_unroll\n");CHKERRQ(ierr);}
1995     ierr = PetscOptionsBool("-mat_no_inode","Do not optimize for inodes (slower)",PETSC_NULL,no_inode,&no_inode,PETSC_NULL);CHKERRQ(ierr);
1996     if (no_inode) {ierr = PetscInfo(B,"Not using Inode routines due to -mat_no_inode\n");CHKERRQ(ierr);}
1997     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);
1998   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1999   b->inode.use = (PetscBool)(!(no_unroll || no_inode));
2000   if (b->inode.limit > b->inode.max_limit) b->inode.limit = b->inode.max_limit;
2001 
2002   PetscFunctionReturn(0);
2003 }
2004 EXTERN_C_END
2005 
2006 #undef __FUNCT__
2007 #define __FUNCT__ "MatSeqSBAIJSetPreallocation"
2008 /*@C
2009    MatSeqSBAIJSetPreallocation - Creates a sparse symmetric matrix in block AIJ (block
2010    compressed row) format.  For good matrix assembly performance the
2011    user should preallocate the matrix storage by setting the parameter nz
2012    (or the array nnz).  By setting these parameters accurately, performance
2013    during matrix assembly can be increased by more than a factor of 50.
2014 
2015    Collective on Mat
2016 
2017    Input Parameters:
2018 +  A - the symmetric matrix
2019 .  bs - size of block
2020 .  nz - number of block nonzeros per block row (same for all rows)
2021 -  nnz - array containing the number of block nonzeros in the upper triangular plus
2022          diagonal portion of each block (possibly different for each block row) or PETSC_NULL
2023 
2024    Options Database Keys:
2025 .   -mat_no_unroll - uses code that does not unroll the loops in the
2026                      block calculations (much slower)
2027 .    -mat_block_size - size of the blocks to use (only works if a negative bs is passed in
2028 
2029    Level: intermediate
2030 
2031    Notes:
2032    Specify the preallocated storage with either nz or nnz (not both).
2033    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
2034    allocation.  See the <a href="../../docs/manual.pdf#nameddest=ch_mat">Mat chapter of the users manual</a> for details.
2035 
2036    You can call MatGetInfo() to get information on how effective the preallocation was;
2037    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
2038    You can also run with the option -info and look for messages with the string
2039    malloc in them to see if additional memory allocation was needed.
2040 
2041    If the nnz parameter is given then the nz parameter is ignored
2042 
2043 
2044 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateSBAIJ()
2045 @*/
2046 PetscErrorCode  MatSeqSBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt nz,const PetscInt nnz[])
2047 {
2048   PetscErrorCode ierr;
2049 
2050   PetscFunctionBegin;
2051   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
2052   PetscValidType(B,1);
2053   PetscValidLogicalCollectiveInt(B,bs,2);
2054   ierr = PetscTryMethod(B,"MatSeqSBAIJSetPreallocation_C",(Mat,PetscInt,PetscInt,const PetscInt[]),(B,bs,nz,nnz));CHKERRQ(ierr);
2055   PetscFunctionReturn(0);
2056 }
2057 
2058 #undef __FUNCT__
2059 #define __FUNCT__ "MatCreateSeqSBAIJ"
2060 /*@C
2061    MatCreateSeqSBAIJ - Creates a sparse symmetric matrix in block AIJ (block
2062    compressed row) format.  For good matrix assembly performance the
2063    user should preallocate the matrix storage by setting the parameter nz
2064    (or the array nnz).  By setting these parameters accurately, performance
2065    during matrix assembly can be increased by more than a factor of 50.
2066 
2067    Collective on MPI_Comm
2068 
2069    Input Parameters:
2070 +  comm - MPI communicator, set to PETSC_COMM_SELF
2071 .  bs - size of block
2072 .  m - number of rows, or number of columns
2073 .  nz - number of block nonzeros per block row (same for all rows)
2074 -  nnz - array containing the number of block nonzeros in the upper triangular plus
2075          diagonal portion of each block (possibly different for each block row) or PETSC_NULL
2076 
2077    Output Parameter:
2078 .  A - the symmetric matrix
2079 
2080    Options Database Keys:
2081 .   -mat_no_unroll - uses code that does not unroll the loops in the
2082                      block calculations (much slower)
2083 .    -mat_block_size - size of the blocks to use
2084 
2085    Level: intermediate
2086 
2087    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
2088    MatXXXXSetPreallocation() paradgm instead of this routine directly.
2089    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
2090 
2091    Notes:
2092    The number of rows and columns must be divisible by blocksize.
2093    This matrix type does not support complex Hermitian operation.
2094 
2095    Specify the preallocated storage with either nz or nnz (not both).
2096    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
2097    allocation.  See the <a href="../../docs/manual.pdf#nameddest=ch_mat">Mat chapter of the users manual</a> for details.
2098 
2099    If the nnz parameter is given then the nz parameter is ignored
2100 
2101 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateSBAIJ()
2102 @*/
2103 PetscErrorCode  MatCreateSeqSBAIJ(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
2104 {
2105   PetscErrorCode ierr;
2106 
2107   PetscFunctionBegin;
2108   ierr = MatCreate(comm,A);CHKERRQ(ierr);
2109   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
2110   ierr = MatSetType(*A,MATSEQSBAIJ);CHKERRQ(ierr);
2111   ierr = MatSeqSBAIJSetPreallocation_SeqSBAIJ(*A,bs,nz,(PetscInt*)nnz);CHKERRQ(ierr);
2112   PetscFunctionReturn(0);
2113 }
2114 
2115 #undef __FUNCT__
2116 #define __FUNCT__ "MatDuplicate_SeqSBAIJ"
2117 PetscErrorCode MatDuplicate_SeqSBAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
2118 {
2119   Mat            C;
2120   Mat_SeqSBAIJ   *c,*a = (Mat_SeqSBAIJ*)A->data;
2121   PetscErrorCode ierr;
2122   PetscInt       i,mbs = a->mbs,nz = a->nz,bs2 =a->bs2;
2123 
2124   PetscFunctionBegin;
2125   if (a->i[mbs] != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Corrupt matrix");
2126 
2127   *B = 0;
2128   ierr = MatCreate(((PetscObject)A)->comm,&C);CHKERRQ(ierr);
2129   ierr = MatSetSizes(C,A->rmap->N,A->cmap->n,A->rmap->N,A->cmap->n);CHKERRQ(ierr);
2130   ierr = MatSetType(C,MATSEQSBAIJ);CHKERRQ(ierr);
2131   ierr = PetscMemcpy(C->ops,A->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
2132   c    = (Mat_SeqSBAIJ*)C->data;
2133 
2134   C->preallocated       = PETSC_TRUE;
2135   C->factortype         = A->factortype;
2136   c->row                = 0;
2137   c->icol               = 0;
2138   c->saved_values       = 0;
2139   c->keepnonzeropattern = a->keepnonzeropattern;
2140   C->assembled          = PETSC_TRUE;
2141 
2142   ierr = PetscLayoutReference(A->rmap,&C->rmap);CHKERRQ(ierr);
2143   ierr = PetscLayoutReference(A->cmap,&C->cmap);CHKERRQ(ierr);
2144   c->bs2  = a->bs2;
2145   c->mbs  = a->mbs;
2146   c->nbs  = a->nbs;
2147 
2148   if  (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
2149     c->imax           = a->imax;
2150     c->ilen           = a->ilen;
2151     c->free_imax_ilen = PETSC_FALSE;
2152   } else {
2153     ierr = PetscMalloc2((mbs+1),PetscInt,&c->imax,(mbs+1),PetscInt,&c->ilen);CHKERRQ(ierr);
2154     ierr = PetscLogObjectMemory(C,2*(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
2155     for (i=0; i<mbs; i++) {
2156       c->imax[i] = a->imax[i];
2157       c->ilen[i] = a->ilen[i];
2158     }
2159     c->free_imax_ilen = PETSC_TRUE;
2160   }
2161 
2162   /* allocate the matrix space */
2163   if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
2164     ierr = PetscMalloc(bs2*nz*sizeof(MatScalar),&c->a);CHKERRQ(ierr);
2165     ierr = PetscLogObjectMemory(C,nz*bs2*sizeof(MatScalar));CHKERRQ(ierr);
2166     c->i            = a->i;
2167     c->j            = a->j;
2168     c->singlemalloc = PETSC_FALSE;
2169     c->free_a       = PETSC_TRUE;
2170     c->free_ij      = PETSC_FALSE;
2171     c->parent       = A;
2172     ierr            = PetscObjectReference((PetscObject)A);CHKERRQ(ierr);
2173     ierr            = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
2174     ierr            = MatSetOption(C,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
2175   } else {
2176     ierr = PetscMalloc3(bs2*nz,MatScalar,&c->a,nz,PetscInt,&c->j,mbs+1,PetscInt,&c->i);CHKERRQ(ierr);
2177     ierr = PetscMemcpy(c->i,a->i,(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
2178     ierr = PetscLogObjectMemory(C,(mbs+1)*sizeof(PetscInt) + nz*(bs2*sizeof(MatScalar) + sizeof(PetscInt)));CHKERRQ(ierr);
2179     c->singlemalloc = PETSC_TRUE;
2180     c->free_a       = PETSC_TRUE;
2181     c->free_ij      = PETSC_TRUE;
2182   }
2183   if (mbs > 0) {
2184     if (cpvalues != MAT_SHARE_NONZERO_PATTERN) {
2185       ierr = PetscMemcpy(c->j,a->j,nz*sizeof(PetscInt));CHKERRQ(ierr);
2186     }
2187     if (cpvalues == MAT_COPY_VALUES) {
2188       ierr = PetscMemcpy(c->a,a->a,bs2*nz*sizeof(MatScalar));CHKERRQ(ierr);
2189     } else {
2190       ierr = PetscMemzero(c->a,bs2*nz*sizeof(MatScalar));CHKERRQ(ierr);
2191     }
2192     if (a->jshort) {
2193       /* cannot share jshort, it is reallocated in MatAssemblyEnd_SeqSBAIJ() */
2194       /* if the parent matrix is reassembled, this child matrix will never notice */
2195       ierr = PetscMalloc(nz*sizeof(unsigned short),&c->jshort);CHKERRQ(ierr);
2196       ierr = PetscLogObjectMemory(C,nz*sizeof(unsigned short));CHKERRQ(ierr);
2197       ierr = PetscMemcpy(c->jshort,a->jshort,nz*sizeof(unsigned short));CHKERRQ(ierr);
2198       c->free_jshort = PETSC_TRUE;
2199     }
2200   }
2201 
2202   c->roworiented = a->roworiented;
2203   c->nonew       = a->nonew;
2204 
2205   if (a->diag) {
2206     if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
2207       c->diag      = a->diag;
2208       c->free_diag = PETSC_FALSE;
2209     } else {
2210       ierr = PetscMalloc(mbs*sizeof(PetscInt),&c->diag);CHKERRQ(ierr);
2211       ierr = PetscLogObjectMemory(C,mbs*sizeof(PetscInt));CHKERRQ(ierr);
2212       for (i=0; i<mbs; i++) {
2213 	c->diag[i] = a->diag[i];
2214       }
2215       c->free_diag = PETSC_TRUE;
2216     }
2217   }
2218   c->nz           = a->nz;
2219   c->maxnz        = a->nz; /* Since we allocate exactly the right amount */
2220   c->solve_work   = 0;
2221   c->mult_work    = 0;
2222   *B = C;
2223   ierr = PetscFListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
2224   PetscFunctionReturn(0);
2225 }
2226 
2227 #undef __FUNCT__
2228 #define __FUNCT__ "MatLoad_SeqSBAIJ"
2229 PetscErrorCode MatLoad_SeqSBAIJ(Mat newmat,PetscViewer viewer)
2230 {
2231   Mat_SeqSBAIJ   *a;
2232   PetscErrorCode ierr;
2233   int            fd;
2234   PetscMPIInt    size;
2235   PetscInt       i,nz,header[4],*rowlengths=0,M,N,bs=1;
2236   PetscInt       *mask,mbs,*jj,j,rowcount,nzcount,k,*s_browlengths,maskcount;
2237   PetscInt       kmax,jcount,block,idx,point,nzcountb,extra_rows,rows,cols;
2238   PetscInt       *masked,nmask,tmp,bs2,ishift;
2239   PetscScalar    *aa;
2240   MPI_Comm       comm = ((PetscObject)viewer)->comm;
2241 
2242   PetscFunctionBegin;
2243   ierr = PetscOptionsGetInt(((PetscObject)newmat)->prefix,"-matload_block_size",&bs,PETSC_NULL);CHKERRQ(ierr);
2244   bs2  = bs*bs;
2245 
2246   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2247   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"view must have one processor");
2248   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
2249   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
2250   if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not Mat object");
2251   M = header[1]; N = header[2]; nz = header[3];
2252 
2253   if (header[3] < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as SeqSBAIJ");
2254 
2255   if (M != N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Can only do square matrices");
2256 
2257   /*
2258      This code adds extra rows to make sure the number of rows is
2259     divisible by the blocksize
2260   */
2261   mbs        = M/bs;
2262   extra_rows = bs - M + bs*(mbs);
2263   if (extra_rows == bs) extra_rows = 0;
2264   else                  mbs++;
2265   if (extra_rows) {
2266     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
2267   }
2268 
2269   /* Set global sizes if not already set */
2270   if (newmat->rmap->n < 0 && newmat->rmap->N < 0 && newmat->cmap->n < 0 && newmat->cmap->N < 0) {
2271     ierr = MatSetSizes(newmat,PETSC_DECIDE,PETSC_DECIDE,M+extra_rows,N+extra_rows);CHKERRQ(ierr);
2272   } else { /* Check if the matrix global sizes are correct */
2273     ierr = MatGetSize(newmat,&rows,&cols);CHKERRQ(ierr);
2274     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);
2275   }
2276 
2277   /* read in row lengths */
2278   ierr = PetscMalloc((M+extra_rows)*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
2279   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
2280   for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
2281 
2282   /* read in column indices */
2283   ierr = PetscMalloc((nz+extra_rows)*sizeof(PetscInt),&jj);CHKERRQ(ierr);
2284   ierr = PetscBinaryRead(fd,jj,nz,PETSC_INT);CHKERRQ(ierr);
2285   for (i=0; i<extra_rows; i++) jj[nz+i] = M+i;
2286 
2287   /* loop over row lengths determining block row lengths */
2288   ierr     = PetscMalloc(mbs*sizeof(PetscInt),&s_browlengths);CHKERRQ(ierr);
2289   ierr     = PetscMemzero(s_browlengths,mbs*sizeof(PetscInt));CHKERRQ(ierr);
2290   ierr     = PetscMalloc2(mbs,PetscInt,&mask,mbs,PetscInt,&masked);CHKERRQ(ierr);
2291   ierr     = PetscMemzero(mask,mbs*sizeof(PetscInt));CHKERRQ(ierr);
2292   rowcount = 0;
2293   nzcount  = 0;
2294   for (i=0; i<mbs; i++) {
2295     nmask = 0;
2296     for (j=0; j<bs; j++) {
2297       kmax = rowlengths[rowcount];
2298       for (k=0; k<kmax; k++) {
2299         tmp = jj[nzcount++]/bs;   /* block col. index */
2300         if (!mask[tmp] && tmp >= i) {masked[nmask++] = tmp; mask[tmp] = 1;}
2301       }
2302       rowcount++;
2303     }
2304     s_browlengths[i] += nmask;
2305 
2306     /* zero out the mask elements we set */
2307     for (j=0; j<nmask; j++) mask[masked[j]] = 0;
2308   }
2309 
2310   /* Do preallocation */
2311   ierr = MatSeqSBAIJSetPreallocation_SeqSBAIJ(newmat,bs,0,s_browlengths);CHKERRQ(ierr);
2312   a = (Mat_SeqSBAIJ*)newmat->data;
2313 
2314   /* set matrix "i" values */
2315   a->i[0] = 0;
2316   for (i=1; i<= mbs; i++) {
2317     a->i[i]      = a->i[i-1] + s_browlengths[i-1];
2318     a->ilen[i-1] = s_browlengths[i-1];
2319   }
2320   a->nz = a->i[mbs];
2321 
2322   /* read in nonzero values */
2323   ierr = PetscMalloc((nz+extra_rows)*sizeof(PetscScalar),&aa);CHKERRQ(ierr);
2324   ierr = PetscBinaryRead(fd,aa,nz,PETSC_SCALAR);CHKERRQ(ierr);
2325   for (i=0; i<extra_rows; i++) aa[nz+i] = 1.0;
2326 
2327   /* set "a" and "j" values into matrix */
2328   nzcount = 0; jcount = 0;
2329   for (i=0; i<mbs; i++) {
2330     nzcountb = nzcount;
2331     nmask    = 0;
2332     for (j=0; j<bs; j++) {
2333       kmax = rowlengths[i*bs+j];
2334       for (k=0; k<kmax; k++) {
2335         tmp = jj[nzcount++]/bs; /* block col. index */
2336         if (!mask[tmp] && tmp >= i) { masked[nmask++] = tmp; mask[tmp] = 1;}
2337       }
2338     }
2339     /* sort the masked values */
2340     ierr = PetscSortInt(nmask,masked);CHKERRQ(ierr);
2341 
2342     /* set "j" values into matrix */
2343     maskcount = 1;
2344     for (j=0; j<nmask; j++) {
2345       a->j[jcount++]  = masked[j];
2346       mask[masked[j]] = maskcount++;
2347     }
2348 
2349     /* set "a" values into matrix */
2350     ishift = bs2*a->i[i];
2351     for (j=0; j<bs; j++) {
2352       kmax = rowlengths[i*bs+j];
2353       for (k=0; k<kmax; k++) {
2354         tmp       = jj[nzcountb]/bs ; /* block col. index */
2355         if (tmp >= i){
2356           block     = mask[tmp] - 1;
2357           point     = jj[nzcountb] - bs*tmp;
2358           idx       = ishift + bs2*block + j + bs*point;
2359           a->a[idx] = aa[nzcountb];
2360         }
2361         nzcountb++;
2362       }
2363     }
2364     /* zero out the mask elements we set */
2365     for (j=0; j<nmask; j++) mask[masked[j]] = 0;
2366   }
2367   if (jcount != a->nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Bad binary matrix");
2368 
2369   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
2370   ierr = PetscFree(s_browlengths);CHKERRQ(ierr);
2371   ierr = PetscFree(aa);CHKERRQ(ierr);
2372   ierr = PetscFree(jj);CHKERRQ(ierr);
2373   ierr = PetscFree2(mask,masked);CHKERRQ(ierr);
2374 
2375   ierr = MatAssemblyBegin(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2376   ierr = MatAssemblyEnd(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2377   ierr = MatView_Private(newmat);CHKERRQ(ierr);
2378   PetscFunctionReturn(0);
2379 }
2380 
2381 #undef __FUNCT__
2382 #define __FUNCT__ "MatCreateSeqSBAIJWithArrays"
2383 /*@
2384      MatCreateSeqSBAIJWithArrays - Creates an sequential SBAIJ matrix using matrix elements
2385               (upper triangular entries in CSR format) provided by the user.
2386 
2387      Collective on MPI_Comm
2388 
2389    Input Parameters:
2390 +  comm - must be an MPI communicator of size 1
2391 .  bs - size of block
2392 .  m - number of rows
2393 .  n - number of columns
2394 .  i - row indices
2395 .  j - column indices
2396 -  a - matrix values
2397 
2398    Output Parameter:
2399 .  mat - the matrix
2400 
2401    Level: advanced
2402 
2403    Notes:
2404        The i, j, and a arrays are not copied by this routine, the user must free these arrays
2405     once the matrix is destroyed
2406 
2407        You cannot set new nonzero locations into this matrix, that will generate an error.
2408 
2409        The i and j indices are 0 based
2410 
2411        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
2412        it is the regular CSR format excluding the lower triangular elements.
2413 
2414 .seealso: MatCreate(), MatCreateSBAIJ(), MatCreateSeqSBAIJ()
2415 
2416 @*/
2417 PetscErrorCode  MatCreateSeqSBAIJWithArrays(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt* i,PetscInt*j,PetscScalar *a,Mat *mat)
2418 {
2419   PetscErrorCode ierr;
2420   PetscInt       ii;
2421   Mat_SeqSBAIJ   *sbaij;
2422 
2423   PetscFunctionBegin;
2424   if (bs != 1) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"block size %D > 1 is not supported yet",bs);
2425   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
2426 
2427   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
2428   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
2429   ierr = MatSetType(*mat,MATSEQSBAIJ);CHKERRQ(ierr);
2430   ierr = MatSeqSBAIJSetPreallocation_SeqSBAIJ(*mat,bs,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
2431   sbaij = (Mat_SeqSBAIJ*)(*mat)->data;
2432   ierr = PetscMalloc2(m,PetscInt,&sbaij->imax,m,PetscInt,&sbaij->ilen);CHKERRQ(ierr);
2433   ierr = PetscLogObjectMemory(*mat,2*m*sizeof(PetscInt));CHKERRQ(ierr);
2434 
2435   sbaij->i = i;
2436   sbaij->j = j;
2437   sbaij->a = a;
2438   sbaij->singlemalloc = PETSC_FALSE;
2439   sbaij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
2440   sbaij->free_a       = PETSC_FALSE;
2441   sbaij->free_ij      = PETSC_FALSE;
2442 
2443   for (ii=0; ii<m; ii++) {
2444     sbaij->ilen[ii] = sbaij->imax[ii] = i[ii+1] - i[ii];
2445 #if defined(PETSC_USE_DEBUG)
2446     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]);
2447 #endif
2448   }
2449 #if defined(PETSC_USE_DEBUG)
2450   for (ii=0; ii<sbaij->i[m]; ii++) {
2451     if (j[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %d index = %d",ii,j[ii]);
2452     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]);
2453   }
2454 #endif
2455 
2456   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2457   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2458   PetscFunctionReturn(0);
2459 }
2460 
2461 
2462 
2463 
2464 
2465