xref: /petsc/src/mat/impls/sbaij/seq/sbaij.c (revision bfd264e73d4f53735ee2d13f3be48efe21fdc128)
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,*ii = a->i,i;
26 
27   PetscFunctionBegin;
28   ierr     = MatMarkDiagonal_SeqSBAIJ(A);CHKERRQ(ierr);
29   *missing = PETSC_FALSE;
30   if (A->rmap->n > 0 && !ii) {
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 (diag[i] >= ii[i+1]) {
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,j;
54 
55   PetscFunctionBegin;
56   if (!a->diag) {
57     ierr         = PetscMalloc1(a->mbs,&a->diag);CHKERRQ(ierr);
58     ierr         = PetscLogObjectMemory((PetscObject)A,a->mbs*sizeof(PetscInt));CHKERRQ(ierr);
59     a->free_diag = PETSC_TRUE;
60   }
61   for (i=0; i<a->mbs; i++) {
62     a->diag[i] = a->i[i+1];
63     for (j=a->i[i]; j<a->i[i+1]; j++) {
64       if (a->j[j] == i) {
65         a->diag[i] = j;
66         break;
67       }
68     }
69   }
70   PetscFunctionReturn(0);
71 }
72 
73 #undef __FUNCT__
74 #define __FUNCT__ "MatGetRowIJ_SeqSBAIJ"
75 static PetscErrorCode MatGetRowIJ_SeqSBAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool blockcompressed,PetscInt *nn,const PetscInt *inia[],const PetscInt *inja[],PetscBool  *done)
76 {
77   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
78   PetscInt       i,j,n = a->mbs,nz = a->i[n],bs = A->rmap->bs;
79   PetscInt       **ia = (PetscInt**)inia,**ja = (PetscInt**)inja;
80   PetscErrorCode ierr;
81 
82   PetscFunctionBegin;
83   *nn = n;
84   if (!ia) PetscFunctionReturn(0);
85   if (!blockcompressed) {
86     /* malloc & create the natural set of indices */
87     ierr = PetscMalloc2((n+1)*bs,ia,nz*bs,ja);CHKERRQ(ierr);
88     for (i=0; i<n+1; i++) {
89       for (j=0; j<bs; j++) {
90         *ia[i*bs+j] = a->i[i]*bs+j+oshift;
91       }
92     }
93     for (i=0; i<nz; i++) {
94       for (j=0; j<bs; j++) {
95         *ja[i*bs+j] = a->j[i]*bs+j+oshift;
96       }
97     }
98   } else { /* blockcompressed */
99     if (oshift == 1) {
100       /* temporarily add 1 to i and j indices */
101       for (i=0; i<nz; i++) a->j[i]++;
102       for (i=0; i<n+1; i++) a->i[i]++;
103     }
104     *ia = a->i; *ja = a->j;
105   }
106   PetscFunctionReturn(0);
107 }
108 
109 #undef __FUNCT__
110 #define __FUNCT__ "MatRestoreRowIJ_SeqSBAIJ"
111 static PetscErrorCode MatRestoreRowIJ_SeqSBAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool blockcompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
112 {
113   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
114   PetscInt       i,n = a->mbs,nz = a->i[n];
115   PetscErrorCode ierr;
116 
117   PetscFunctionBegin;
118   if (!ia) PetscFunctionReturn(0);
119 
120   if (!blockcompressed) {
121     ierr = PetscFree2(*ia,*ja);CHKERRQ(ierr);
122   } else if (oshift == 1) { /* blockcompressed */
123     for (i=0; i<nz; i++) a->j[i]--;
124     for (i=0; i<n+1; i++) a->i[i]--;
125   }
126   PetscFunctionReturn(0);
127 }
128 
129 #undef __FUNCT__
130 #define __FUNCT__ "MatDestroy_SeqSBAIJ"
131 PetscErrorCode MatDestroy_SeqSBAIJ(Mat A)
132 {
133   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
134   PetscErrorCode ierr;
135 
136   PetscFunctionBegin;
137 #if defined(PETSC_USE_LOG)
138   PetscLogObjectState((PetscObject)A,"Rows=%D, NZ=%D",A->rmap->N,a->nz);
139 #endif
140   ierr = MatSeqXAIJFreeAIJ(A,&a->a,&a->j,&a->i);CHKERRQ(ierr);
141   if (a->free_diag) {ierr = PetscFree(a->diag);CHKERRQ(ierr);}
142   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
143   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
144   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
145   ierr = PetscFree(a->idiag);CHKERRQ(ierr);
146   ierr = PetscFree(a->inode.size);CHKERRQ(ierr);
147   if (a->free_imax_ilen) {ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);}
148   ierr = PetscFree(a->solve_work);CHKERRQ(ierr);
149   ierr = PetscFree(a->sor_work);CHKERRQ(ierr);
150   ierr = PetscFree(a->solves_work);CHKERRQ(ierr);
151   ierr = PetscFree(a->mult_work);CHKERRQ(ierr);
152   ierr = PetscFree(a->saved_values);CHKERRQ(ierr);
153   ierr = PetscFree(a->xtoy);CHKERRQ(ierr);
154   if (a->free_jshort) {ierr = PetscFree(a->jshort);CHKERRQ(ierr);}
155   ierr = PetscFree(a->inew);CHKERRQ(ierr);
156   ierr = MatDestroy(&a->parent);CHKERRQ(ierr);
157   ierr = PetscFree(A->data);CHKERRQ(ierr);
158 
159   ierr = PetscObjectChangeTypeName((PetscObject)A,0);CHKERRQ(ierr);
160   ierr = PetscObjectComposeFunction((PetscObject)A,"MatStoreValues_C",NULL);CHKERRQ(ierr);
161   ierr = PetscObjectComposeFunction((PetscObject)A,"MatRetrieveValues_C",NULL);CHKERRQ(ierr);
162   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqSBAIJSetColumnIndices_C",NULL);CHKERRQ(ierr);
163   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqsbaij_seqaij_C",NULL);CHKERRQ(ierr);
164   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqsbaij_seqbaij_C",NULL);CHKERRQ(ierr);
165   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqSBAIJSetPreallocation_C",NULL);CHKERRQ(ierr);
166   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqSBAIJSetPreallocationCSR_C",NULL);CHKERRQ(ierr);
167   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqsbaij_seqsbstrm_C",NULL);CHKERRQ(ierr);
168   PetscFunctionReturn(0);
169 }
170 
171 #undef __FUNCT__
172 #define __FUNCT__ "MatSetOption_SeqSBAIJ"
173 PetscErrorCode MatSetOption_SeqSBAIJ(Mat A,MatOption op,PetscBool flg)
174 {
175   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
176   PetscErrorCode ierr;
177 
178   PetscFunctionBegin;
179   switch (op) {
180   case MAT_ROW_ORIENTED:
181     a->roworiented = flg;
182     break;
183   case MAT_KEEP_NONZERO_PATTERN:
184     a->keepnonzeropattern = flg;
185     break;
186   case MAT_NEW_NONZERO_LOCATIONS:
187     a->nonew = (flg ? 0 : 1);
188     break;
189   case MAT_NEW_NONZERO_LOCATION_ERR:
190     a->nonew = (flg ? -1 : 0);
191     break;
192   case MAT_NEW_NONZERO_ALLOCATION_ERR:
193     a->nonew = (flg ? -2 : 0);
194     break;
195   case MAT_UNUSED_NONZERO_LOCATION_ERR:
196     a->nounused = (flg ? -1 : 0);
197     break;
198   case MAT_NEW_DIAGONALS:
199   case MAT_IGNORE_OFF_PROC_ENTRIES:
200   case MAT_USE_HASH_TABLE:
201     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
202     break;
203   case MAT_HERMITIAN:
204     if (!A->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call MatAssemblyEnd() first");
205     if (A->cmap->n < 65536 && A->cmap->bs == 1) {
206       A->ops->mult = MatMult_SeqSBAIJ_1_Hermitian_ushort;
207     } else if (A->cmap->bs == 1) {
208       A->ops->mult = MatMult_SeqSBAIJ_1_Hermitian;
209     } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for Hermitian with block size greater than 1");
210     break;
211   case MAT_SPD:
212     /* These options are handled directly by MatSetOption() */
213     break;
214   case MAT_SYMMETRIC:
215   case MAT_STRUCTURALLY_SYMMETRIC:
216   case MAT_SYMMETRY_ETERNAL:
217     if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Matrix must be symmetric");
218     ierr = PetscInfo1(A,"Option %s not relevent\n",MatOptions[op]);CHKERRQ(ierr);
219     break;
220   case MAT_IGNORE_LOWER_TRIANGULAR:
221     a->ignore_ltriangular = flg;
222     break;
223   case MAT_ERROR_LOWER_TRIANGULAR:
224     a->ignore_ltriangular = flg;
225     break;
226   case MAT_GETROW_UPPERTRIANGULAR:
227     a->getrow_utriangular = flg;
228     break;
229   default:
230     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
231   }
232   PetscFunctionReturn(0);
233 }
234 
235 #undef __FUNCT__
236 #define __FUNCT__ "MatGetRow_SeqSBAIJ"
237 PetscErrorCode MatGetRow_SeqSBAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
238 {
239   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
240   PetscErrorCode ierr;
241 
242   PetscFunctionBegin;
243   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()");
244 
245   /* Get the upper triangular part of the row */
246   ierr = MatGetRow_SeqBAIJ_private(A,row,nz,idx,v,a->i,a->j,a->a);CHKERRQ(ierr);
247   PetscFunctionReturn(0);
248 }
249 
250 #undef __FUNCT__
251 #define __FUNCT__ "MatRestoreRow_SeqSBAIJ"
252 PetscErrorCode MatRestoreRow_SeqSBAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
253 {
254   PetscErrorCode ierr;
255 
256   PetscFunctionBegin;
257   if (idx) {ierr = PetscFree(*idx);CHKERRQ(ierr);}
258   if (v)   {ierr = PetscFree(*v);CHKERRQ(ierr);}
259   PetscFunctionReturn(0);
260 }
261 
262 #undef __FUNCT__
263 #define __FUNCT__ "MatGetRowUpperTriangular_SeqSBAIJ"
264 PetscErrorCode MatGetRowUpperTriangular_SeqSBAIJ(Mat A)
265 {
266   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
267 
268   PetscFunctionBegin;
269   a->getrow_utriangular = PETSC_TRUE;
270   PetscFunctionReturn(0);
271 }
272 #undef __FUNCT__
273 #define __FUNCT__ "MatRestoreRowUpperTriangular_SeqSBAIJ"
274 PetscErrorCode MatRestoreRowUpperTriangular_SeqSBAIJ(Mat A)
275 {
276   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
277 
278   PetscFunctionBegin;
279   a->getrow_utriangular = PETSC_FALSE;
280   PetscFunctionReturn(0);
281 }
282 
283 #undef __FUNCT__
284 #define __FUNCT__ "MatTranspose_SeqSBAIJ"
285 PetscErrorCode MatTranspose_SeqSBAIJ(Mat A,MatReuse reuse,Mat *B)
286 {
287   PetscErrorCode ierr;
288 
289   PetscFunctionBegin;
290   if (reuse == MAT_INITIAL_MATRIX || *B != A) {
291     ierr = MatDuplicate(A,MAT_COPY_VALUES,B);CHKERRQ(ierr);
292   }
293   PetscFunctionReturn(0);
294 }
295 
296 #undef __FUNCT__
297 #define __FUNCT__ "MatView_SeqSBAIJ_ASCII"
298 PetscErrorCode MatView_SeqSBAIJ_ASCII(Mat A,PetscViewer viewer)
299 {
300   Mat_SeqSBAIJ      *a = (Mat_SeqSBAIJ*)A->data;
301   PetscErrorCode    ierr;
302   PetscInt          i,j,bs = A->rmap->bs,k,l,bs2=a->bs2;
303   PetscViewerFormat format;
304   PetscInt          *diag;
305 
306   PetscFunctionBegin;
307   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
308   if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
309     ierr = PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);CHKERRQ(ierr);
310   } else if (format == PETSC_VIEWER_ASCII_MATLAB) {
311     Mat aij;
312     if (A->factortype && bs>1) {
313       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);
314       PetscFunctionReturn(0);
315     }
316     ierr = MatConvert(A,MATSEQAIJ,MAT_INITIAL_MATRIX,&aij);CHKERRQ(ierr);
317     ierr = MatView(aij,viewer);CHKERRQ(ierr);
318     ierr = MatDestroy(&aij);CHKERRQ(ierr);
319   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
320     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
321     for (i=0; i<a->mbs; i++) {
322       for (j=0; j<bs; j++) {
323         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i*bs+j);CHKERRQ(ierr);
324         for (k=a->i[i]; k<a->i[i+1]; k++) {
325           for (l=0; l<bs; l++) {
326 #if defined(PETSC_USE_COMPLEX)
327             if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) > 0.0 && PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
328               ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i) ",bs*a->j[k]+l,
329                                             (double)PetscRealPart(a->a[bs2*k + l*bs + j]),(double)PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
330             } else if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) < 0.0 && PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
331               ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i) ",bs*a->j[k]+l,
332                                             (double)PetscRealPart(a->a[bs2*k + l*bs + j]),-(double)PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
333             } else if (PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
334               ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",bs*a->j[k]+l,(double)PetscRealPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
335             }
336 #else
337             if (a->a[bs2*k + l*bs + j] != 0.0) {
338               ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",bs*a->j[k]+l,(double)a->a[bs2*k + l*bs + j]);CHKERRQ(ierr);
339             }
340 #endif
341           }
342         }
343         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
344       }
345     }
346     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
347   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
348     PetscFunctionReturn(0);
349   } else {
350     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
351     if (A->factortype) { /* for factored matrix */
352       if (bs>1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"matrix is factored with bs>1. Not implemented yet");
353 
354       diag=a->diag;
355       for (i=0; i<a->mbs; i++) { /* for row block i */
356         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
357         /* diagonal entry */
358 #if defined(PETSC_USE_COMPLEX)
359         if (PetscImaginaryPart(a->a[diag[i]]) > 0.0) {
360           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i) ",a->j[diag[i]],(double)PetscRealPart(1.0/a->a[diag[i]]),(double)PetscImaginaryPart(1.0/a->a[diag[i]]));CHKERRQ(ierr);
361         } else if (PetscImaginaryPart(a->a[diag[i]]) < 0.0) {
362           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i) ",a->j[diag[i]],(double)PetscRealPart(1.0/a->a[diag[i]]),-(double)PetscImaginaryPart(1.0/a->a[diag[i]]));CHKERRQ(ierr);
363         } else {
364           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[diag[i]],(double)PetscRealPart(1.0/a->a[diag[i]]));CHKERRQ(ierr);
365         }
366 #else
367         ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[diag[i]],(double)(1.0/a->a[diag[i]]));CHKERRQ(ierr);
368 #endif
369         /* off-diagonal entries */
370         for (k=a->i[i]; k<a->i[i+1]-1; k++) {
371 #if defined(PETSC_USE_COMPLEX)
372           if (PetscImaginaryPart(a->a[k]) > 0.0) {
373             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i) ",bs*a->j[k],(double)PetscRealPart(a->a[k]),(double)PetscImaginaryPart(a->a[k]));CHKERRQ(ierr);
374           } else if (PetscImaginaryPart(a->a[k]) < 0.0) {
375             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i) ",bs*a->j[k],(double)PetscRealPart(a->a[k]),-(double)PetscImaginaryPart(a->a[k]));CHKERRQ(ierr);
376           } else {
377             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",bs*a->j[k],(double)PetscRealPart(a->a[k]));CHKERRQ(ierr);
378           }
379 #else
380           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[k],(double)a->a[k]);CHKERRQ(ierr);
381 #endif
382         }
383         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
384       }
385 
386     } else { /* for non-factored matrix */
387       for (i=0; i<a->mbs; i++) { /* for row block i */
388         for (j=0; j<bs; j++) {   /* for row bs*i + j */
389           ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i*bs+j);CHKERRQ(ierr);
390           for (k=a->i[i]; k<a->i[i+1]; k++) { /* for column block */
391             for (l=0; l<bs; l++) {            /* for column */
392 #if defined(PETSC_USE_COMPLEX)
393               if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) > 0.0) {
394                 ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i) ",bs*a->j[k]+l,
395                                               (double)PetscRealPart(a->a[bs2*k + l*bs + j]),(double)PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
396               } else if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) < 0.0) {
397                 ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i) ",bs*a->j[k]+l,
398                                               (double)PetscRealPart(a->a[bs2*k + l*bs + j]),-(double)PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
399               } else {
400                 ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",bs*a->j[k]+l,(double)PetscRealPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
401               }
402 #else
403               ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",bs*a->j[k]+l,(double)a->a[bs2*k + l*bs + j]);CHKERRQ(ierr);
404 #endif
405             }
406           }
407           ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
408         }
409       }
410     }
411     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
412   }
413   ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
414   PetscFunctionReturn(0);
415 }
416 
417 #include <petscdraw.h>
418 #undef __FUNCT__
419 #define __FUNCT__ "MatView_SeqSBAIJ_Draw_Zoom"
420 static PetscErrorCode MatView_SeqSBAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
421 {
422   Mat            A = (Mat) Aa;
423   Mat_SeqSBAIJ   *a=(Mat_SeqSBAIJ*)A->data;
424   PetscErrorCode ierr;
425   PetscInt       row,i,j,k,l,mbs=a->mbs,color,bs=A->rmap->bs,bs2=a->bs2;
426   PetscMPIInt    rank;
427   PetscReal      xl,yl,xr,yr,x_l,x_r,y_l,y_r;
428   MatScalar      *aa;
429   MPI_Comm       comm;
430   PetscViewer    viewer;
431 
432   PetscFunctionBegin;
433   /*
434     This is nasty. If this is called from an originally parallel matrix
435     then all processes call this,but only the first has the matrix so the
436     rest should return immediately.
437   */
438   ierr = PetscObjectGetComm((PetscObject)draw,&comm);CHKERRQ(ierr);
439   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
440   if (rank) PetscFunctionReturn(0);
441 
442   ierr = PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer);CHKERRQ(ierr);
443 
444   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
445   PetscDrawString(draw, .3*(xl+xr), .3*(yl+yr), PETSC_DRAW_BLACK, "symmetric");
446 
447   /* loop over matrix elements drawing boxes */
448   color = PETSC_DRAW_BLUE;
449   for (i=0,row=0; i<mbs; i++,row+=bs) {
450     for (j=a->i[i]; j<a->i[i+1]; j++) {
451       y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
452       x_l = a->j[j]*bs; x_r = x_l + 1.0;
453       aa  = a->a + j*bs2;
454       for (k=0; k<bs; k++) {
455         for (l=0; l<bs; l++) {
456           if (PetscRealPart(*aa++) >=  0.) continue;
457           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
458         }
459       }
460     }
461   }
462   color = PETSC_DRAW_CYAN;
463   for (i=0,row=0; i<mbs; i++,row+=bs) {
464     for (j=a->i[i]; j<a->i[i+1]; j++) {
465       y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
466       x_l = a->j[j]*bs; x_r = x_l + 1.0;
467       aa = a->a + j*bs2;
468       for (k=0; k<bs; k++) {
469         for (l=0; l<bs; l++) {
470           if (PetscRealPart(*aa++) != 0.) continue;
471           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
472         }
473       }
474     }
475   }
476 
477   color = PETSC_DRAW_RED;
478   for (i=0,row=0; i<mbs; i++,row+=bs) {
479     for (j=a->i[i]; j<a->i[i+1]; j++) {
480       y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
481       x_l = a->j[j]*bs; x_r = x_l + 1.0;
482       aa = a->a + j*bs2;
483       for (k=0; k<bs; k++) {
484         for (l=0; l<bs; l++) {
485           if (PetscRealPart(*aa++) <= 0.) continue;
486           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
487         }
488       }
489     }
490   }
491   PetscFunctionReturn(0);
492 }
493 
494 #undef __FUNCT__
495 #define __FUNCT__ "MatView_SeqSBAIJ_Draw"
496 static PetscErrorCode MatView_SeqSBAIJ_Draw(Mat A,PetscViewer viewer)
497 {
498   PetscErrorCode ierr;
499   PetscReal      xl,yl,xr,yr,w,h;
500   PetscDraw      draw;
501   PetscBool      isnull;
502 
503   PetscFunctionBegin;
504   ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
505   ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
506 
507   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer);CHKERRQ(ierr);
508   xr   = A->rmap->N; yr = A->rmap->N; h = yr/10.0; w = xr/10.0;
509   xr  += w;    yr += h;  xl = -w;     yl = -h;
510   ierr = PetscDrawSetCoordinates(draw,xl,yl,xr,yr);CHKERRQ(ierr);
511   ierr = PetscDrawZoom(draw,MatView_SeqSBAIJ_Draw_Zoom,A);CHKERRQ(ierr);
512   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",NULL);CHKERRQ(ierr);
513   PetscFunctionReturn(0);
514 }
515 
516 #undef __FUNCT__
517 #define __FUNCT__ "MatView_SeqSBAIJ"
518 PetscErrorCode MatView_SeqSBAIJ(Mat A,PetscViewer viewer)
519 {
520   PetscErrorCode ierr;
521   PetscBool      iascii,isdraw;
522   FILE           *file = 0;
523 
524   PetscFunctionBegin;
525   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
526   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
527   if (iascii) {
528     ierr = MatView_SeqSBAIJ_ASCII(A,viewer);CHKERRQ(ierr);
529   } else if (isdraw) {
530     ierr = MatView_SeqSBAIJ_Draw(A,viewer);CHKERRQ(ierr);
531   } else {
532     Mat B;
533     ierr = MatConvert(A,MATSEQAIJ,MAT_INITIAL_MATRIX,&B);CHKERRQ(ierr);
534     ierr = MatView(B,viewer);CHKERRQ(ierr);
535     ierr = MatDestroy(&B);CHKERRQ(ierr);
536     ierr = PetscViewerBinaryGetInfoPointer(viewer,&file);CHKERRQ(ierr);
537     if (file) {
538       fprintf(file,"-matload_block_size %d\n",(int)A->rmap->bs);
539     }
540   }
541   PetscFunctionReturn(0);
542 }
543 
544 
545 #undef __FUNCT__
546 #define __FUNCT__ "MatGetValues_SeqSBAIJ"
547 PetscErrorCode MatGetValues_SeqSBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],PetscScalar v[])
548 {
549   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
550   PetscInt     *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
551   PetscInt     *ai = a->i,*ailen = a->ilen;
552   PetscInt     brow,bcol,ridx,cidx,bs=A->rmap->bs,bs2=a->bs2;
553   MatScalar    *ap,*aa = a->a;
554 
555   PetscFunctionBegin;
556   for (k=0; k<m; k++) { /* loop over rows */
557     row = im[k]; brow = row/bs;
558     if (row < 0) {v += n; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",row); */
559     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);
560     rp   = aj + ai[brow]; ap = aa + bs2*ai[brow];
561     nrow = ailen[brow];
562     for (l=0; l<n; l++) { /* loop over columns */
563       if (in[l] < 0) {v++; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column: %D",in[l]); */
564       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);
565       col  = in[l];
566       bcol = col/bs;
567       cidx = col%bs;
568       ridx = row%bs;
569       high = nrow;
570       low  = 0; /* assume unsorted */
571       while (high-low > 5) {
572         t = (low+high)/2;
573         if (rp[t] > bcol) high = t;
574         else              low  = t;
575       }
576       for (i=low; i<high; i++) {
577         if (rp[i] > bcol) break;
578         if (rp[i] == bcol) {
579           *v++ = ap[bs2*i+bs*cidx+ridx];
580           goto finished;
581         }
582       }
583       *v++ = 0.0;
584 finished:;
585     }
586   }
587   PetscFunctionReturn(0);
588 }
589 
590 
591 #undef __FUNCT__
592 #define __FUNCT__ "MatSetValuesBlocked_SeqSBAIJ"
593 PetscErrorCode MatSetValuesBlocked_SeqSBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
594 {
595   Mat_SeqSBAIJ      *a = (Mat_SeqSBAIJ*)A->data;
596   PetscErrorCode    ierr;
597   PetscInt          *rp,k,low,high,t,ii,jj,row,nrow,i,col,l,rmax,N,lastcol = -1;
598   PetscInt          *imax      =a->imax,*ai=a->i,*ailen=a->ilen;
599   PetscInt          *aj        =a->j,nonew=a->nonew,bs2=a->bs2,bs=A->rmap->bs,stepval;
600   PetscBool         roworiented=a->roworiented;
601   const PetscScalar *value     = v;
602   MatScalar         *ap,*aa = a->a,*bap;
603 
604   PetscFunctionBegin;
605   if (roworiented) stepval = (n-1)*bs;
606   else stepval = (m-1)*bs;
607 
608   for (k=0; k<m; k++) { /* loop over added rows */
609     row = im[k];
610     if (row < 0) continue;
611 #if defined(PETSC_USE_DEBUG)
612     if (row >= a->mbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,a->mbs-1);
613 #endif
614     rp   = aj + ai[row];
615     ap   = aa + bs2*ai[row];
616     rmax = imax[row];
617     nrow = ailen[row];
618     low  = 0;
619     high = nrow;
620     for (l=0; l<n; l++) { /* loop over added columns */
621       if (in[l] < 0) continue;
622       col = in[l];
623 #if defined(PETSC_USE_DEBUG)
624       if (col >= a->nbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",col,a->nbs-1);
625 #endif
626       if (col < row) {
627         if (a->ignore_ltriangular) continue; /* ignore lower triangular block */
628         else 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)");
629       }
630       if (roworiented) value = v + k*(stepval+bs)*bs + l*bs;
631       else value = v + l*(stepval+bs)*bs + k*bs;
632 
633       if (col <= lastcol) low = 0;
634       else high = nrow;
635 
636       lastcol = col;
637       while (high-low > 7) {
638         t = (low+high)/2;
639         if (rp[t] > col) high = t;
640         else             low  = t;
641       }
642       for (i=low; i<high; i++) {
643         if (rp[i] > col) break;
644         if (rp[i] == col) {
645           bap = ap +  bs2*i;
646           if (roworiented) {
647             if (is == ADD_VALUES) {
648               for (ii=0; ii<bs; ii++,value+=stepval) {
649                 for (jj=ii; jj<bs2; jj+=bs) {
650                   bap[jj] += *value++;
651                 }
652               }
653             } else {
654               for (ii=0; ii<bs; ii++,value+=stepval) {
655                 for (jj=ii; jj<bs2; jj+=bs) {
656                   bap[jj] = *value++;
657                 }
658                }
659             }
660           } else {
661             if (is == ADD_VALUES) {
662               for (ii=0; ii<bs; ii++,value+=stepval) {
663                 for (jj=0; jj<bs; jj++) {
664                   *bap++ += *value++;
665                 }
666               }
667             } else {
668               for (ii=0; ii<bs; ii++,value+=stepval) {
669                 for (jj=0; jj<bs; jj++) {
670                   *bap++  = *value++;
671                 }
672               }
673             }
674           }
675           goto noinsert2;
676         }
677       }
678       if (nonew == 1) goto noinsert2;
679       if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) in the matrix", row, col);
680       MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
681       N = nrow++ - 1; high++;
682       /* shift up all the later entries in this row */
683       for (ii=N; ii>=i; ii--) {
684         rp[ii+1] = rp[ii];
685         ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
686       }
687       if (N >= i) {
688         ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
689       }
690       rp[i] = col;
691       bap   = ap +  bs2*i;
692       if (roworiented) {
693         for (ii=0; ii<bs; ii++,value+=stepval) {
694           for (jj=ii; jj<bs2; jj+=bs) {
695             bap[jj] = *value++;
696           }
697         }
698       } else {
699         for (ii=0; ii<bs; ii++,value+=stepval) {
700           for (jj=0; jj<bs; jj++) {
701             *bap++ = *value++;
702           }
703         }
704        }
705     noinsert2:;
706       low = i;
707     }
708     ailen[row] = nrow;
709   }
710   PetscFunctionReturn(0);
711 }
712 
713 /*
714     This is not yet used
715 */
716 #undef __FUNCT__
717 #define __FUNCT__ "MatAssemblyEnd_SeqSBAIJ_SeqAIJ_Inode"
718 PetscErrorCode MatAssemblyEnd_SeqSBAIJ_SeqAIJ_Inode(Mat A)
719 {
720   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
721   PetscErrorCode ierr;
722   const PetscInt *ai = a->i, *aj = a->j,*cols;
723   PetscInt       i   = 0,j,blk_size,m = A->rmap->n,node_count = 0,nzx,nzy,*ns,row,nz,cnt,cnt2,*counts;
724   PetscBool      flag;
725 
726   PetscFunctionBegin;
727   ierr = PetscMalloc1(m,&ns);CHKERRQ(ierr);
728   while (i < m) {
729     nzx = ai[i+1] - ai[i];       /* Number of nonzeros */
730     /* Limits the number of elements in a node to 'a->inode.limit' */
731     for (j=i+1,blk_size=1; j<m && blk_size <a->inode.limit; ++j,++blk_size) {
732       nzy = ai[j+1] - ai[j];
733       if (nzy != (nzx - j + i)) break;
734       ierr = PetscMemcmp(aj + ai[i] + j - i,aj + ai[j],nzy*sizeof(PetscInt),&flag);CHKERRQ(ierr);
735       if (!flag) break;
736     }
737     ns[node_count++] = blk_size;
738 
739     i = j;
740   }
741   if (!a->inode.size && m && node_count > .9*m) {
742     ierr = PetscFree(ns);CHKERRQ(ierr);
743     ierr = PetscInfo2(A,"Found %D nodes out of %D rows. Not using Inode routines\n",node_count,m);CHKERRQ(ierr);
744   } else {
745     a->inode.node_count = node_count;
746 
747     ierr = PetscMalloc1(node_count,&a->inode.size);CHKERRQ(ierr);
748     ierr = PetscLogObjectMemory((PetscObject)A,node_count*sizeof(PetscInt));CHKERRQ(ierr);
749     ierr = PetscMemcpy(a->inode.size,ns,node_count*sizeof(PetscInt));CHKERRQ(ierr);
750     ierr = PetscFree(ns);CHKERRQ(ierr);
751     ierr = PetscInfo3(A,"Found %D nodes of %D. Limit used: %D. Using Inode routines\n",node_count,m,a->inode.limit);CHKERRQ(ierr);
752 
753     /* count collections of adjacent columns in each inode */
754     row = 0;
755     cnt = 0;
756     for (i=0; i<node_count; i++) {
757       cols = aj + ai[row] + a->inode.size[i];
758       nz   = ai[row+1] - ai[row] - a->inode.size[i];
759       for (j=1; j<nz; j++) {
760         if (cols[j] != cols[j-1]+1) cnt++;
761       }
762       cnt++;
763       row += a->inode.size[i];
764     }
765     ierr = PetscMalloc1(2*cnt,&counts);CHKERRQ(ierr);
766     cnt  = 0;
767     row  = 0;
768     for (i=0; i<node_count; i++) {
769       cols = aj + ai[row] + a->inode.size[i];
770       counts[2*cnt] = cols[0];
771       nz   = ai[row+1] - ai[row] - a->inode.size[i];
772       cnt2 = 1;
773       for (j=1; j<nz; j++) {
774         if (cols[j] != cols[j-1]+1) {
775           counts[2*(cnt++)+1] = cnt2;
776           counts[2*cnt]       = cols[j];
777           cnt2 = 1;
778         } else cnt2++;
779       }
780       counts[2*(cnt++)+1] = cnt2;
781       row += a->inode.size[i];
782     }
783     ierr = PetscIntView(2*cnt,counts,0);CHKERRQ(ierr);
784   }
785   PetscFunctionReturn(0);
786 }
787 
788 #undef __FUNCT__
789 #define __FUNCT__ "MatAssemblyEnd_SeqSBAIJ"
790 PetscErrorCode MatAssemblyEnd_SeqSBAIJ(Mat A,MatAssemblyType mode)
791 {
792   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
793   PetscErrorCode ierr;
794   PetscInt       fshift = 0,i,j,*ai = a->i,*aj = a->j,*imax = a->imax;
795   PetscInt       m      = A->rmap->N,*ip,N,*ailen = a->ilen;
796   PetscInt       mbs    = a->mbs,bs2 = a->bs2,rmax = 0;
797   MatScalar      *aa    = a->a,*ap;
798 
799   PetscFunctionBegin;
800   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
801 
802   if (m) rmax = ailen[0];
803   for (i=1; i<mbs; i++) {
804     /* move each row back by the amount of empty slots (fshift) before it*/
805     fshift += imax[i-1] - ailen[i-1];
806     rmax    = PetscMax(rmax,ailen[i]);
807     if (fshift) {
808       ip = aj + ai[i]; ap = aa + bs2*ai[i];
809       N  = ailen[i];
810       for (j=0; j<N; j++) {
811         ip[j-fshift] = ip[j];
812         ierr         = PetscMemcpy(ap+(j-fshift)*bs2,ap+j*bs2,bs2*sizeof(MatScalar));CHKERRQ(ierr);
813       }
814     }
815     ai[i] = ai[i-1] + ailen[i-1];
816   }
817   if (mbs) {
818     fshift += imax[mbs-1] - ailen[mbs-1];
819     ai[mbs] = ai[mbs-1] + ailen[mbs-1];
820   }
821   /* reset ilen and imax for each row */
822   for (i=0; i<mbs; i++) {
823     ailen[i] = imax[i] = ai[i+1] - ai[i];
824   }
825   a->nz = ai[mbs];
826 
827   /* diagonals may have moved, reset it */
828   if (a->diag) {
829     ierr = PetscMemcpy(a->diag,ai,mbs*sizeof(PetscInt));CHKERRQ(ierr);
830   }
831   if (fshift && a->nounused == -1) 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);
832 
833   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);
834   ierr = PetscInfo1(A,"Number of mallocs during MatSetValues is %D\n",a->reallocs);CHKERRQ(ierr);
835   ierr = PetscInfo1(A,"Most nonzeros blocks in any row is %D\n",rmax);CHKERRQ(ierr);
836 
837   A->info.mallocs    += a->reallocs;
838   a->reallocs         = 0;
839   A->info.nz_unneeded = (PetscReal)fshift*bs2;
840   a->idiagvalid       = PETSC_FALSE;
841 
842   if (A->cmap->n < 65536 && A->cmap->bs == 1) {
843     if (a->jshort && a->free_jshort) {
844       /* when matrix data structure is changed, previous jshort must be replaced */
845       ierr = PetscFree(a->jshort);CHKERRQ(ierr);
846     }
847     ierr = PetscMalloc1(a->i[A->rmap->n],&a->jshort);CHKERRQ(ierr);
848     ierr = PetscLogObjectMemory((PetscObject)A,a->i[A->rmap->n]*sizeof(unsigned short));CHKERRQ(ierr);
849     for (i=0; i<a->i[A->rmap->n]; i++) a->jshort[i] = a->j[i];
850     A->ops->mult   = MatMult_SeqSBAIJ_1_ushort;
851     A->ops->sor    = MatSOR_SeqSBAIJ_ushort;
852     a->free_jshort = PETSC_TRUE;
853   }
854   PetscFunctionReturn(0);
855 }
856 
857 /*
858    This function returns an array of flags which indicate the locations of contiguous
859    blocks that should be zeroed. for eg: if bs = 3  and is = [0,1,2,3,5,6,7,8,9]
860    then the resulting sizes = [3,1,1,3,1] correspondig to sets [(0,1,2),(3),(5),(6,7,8),(9)]
861    Assume: sizes should be long enough to hold all the values.
862 */
863 #undef __FUNCT__
864 #define __FUNCT__ "MatZeroRows_SeqSBAIJ_Check_Blocks"
865 PetscErrorCode MatZeroRows_SeqSBAIJ_Check_Blocks(PetscInt idx[],PetscInt n,PetscInt bs,PetscInt sizes[], PetscInt *bs_max)
866 {
867   PetscInt  i,j,k,row;
868   PetscBool flg;
869 
870   PetscFunctionBegin;
871   for (i=0,j=0; i<n; j++) {
872     row = idx[i];
873     if (row%bs!=0) { /* Not the begining of a block */
874       sizes[j] = 1;
875       i++;
876     } else if (i+bs > n) { /* Beginning of a block, but complete block doesn't exist (at idx end) */
877       sizes[j] = 1;         /* Also makes sure atleast 'bs' values exist for next else */
878       i++;
879     } else { /* Begining of the block, so check if the complete block exists */
880       flg = PETSC_TRUE;
881       for (k=1; k<bs; k++) {
882         if (row+k != idx[i+k]) { /* break in the block */
883           flg = PETSC_FALSE;
884           break;
885         }
886       }
887       if (flg) { /* No break in the bs */
888         sizes[j] = bs;
889         i       += bs;
890       } else {
891         sizes[j] = 1;
892         i++;
893       }
894     }
895   }
896   *bs_max = j;
897   PetscFunctionReturn(0);
898 }
899 
900 
901 /* Only add/insert a(i,j) with i<=j (blocks).
902    Any a(i,j) with i>j input by user is ingored.
903 */
904 
905 #undef __FUNCT__
906 #define __FUNCT__ "MatSetValues_SeqSBAIJ"
907 PetscErrorCode MatSetValues_SeqSBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
908 {
909   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
910   PetscErrorCode ierr;
911   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N,lastcol = -1;
912   PetscInt       *imax=a->imax,*ai=a->i,*ailen=a->ilen,roworiented=a->roworiented;
913   PetscInt       *aj  =a->j,nonew=a->nonew,bs=A->rmap->bs,brow,bcol;
914   PetscInt       ridx,cidx,bs2=a->bs2;
915   MatScalar      *ap,value,*aa=a->a,*bap;
916 
917   PetscFunctionBegin;
918   for (k=0; k<m; k++) { /* loop over added rows */
919     row  = im[k];       /* row number */
920     brow = row/bs;      /* block row number */
921     if (row < 0) continue;
922 #if defined(PETSC_USE_DEBUG)
923     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);
924 #endif
925     rp   = aj + ai[brow]; /*ptr to beginning of column value of the row block*/
926     ap   = aa + bs2*ai[brow]; /*ptr to beginning of element value of the row block*/
927     rmax = imax[brow];  /* maximum space allocated for this row */
928     nrow = ailen[brow]; /* actual length of this row */
929     low  = 0;
930 
931     for (l=0; l<n; l++) { /* loop over added columns */
932       if (in[l] < 0) continue;
933 #if defined(PETSC_USE_DEBUG)
934       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);
935 #endif
936       col  = in[l];
937       bcol = col/bs;              /* block col number */
938 
939       if (brow > bcol) {
940         if (a->ignore_ltriangular) continue; /* ignore lower triangular values */
941         else 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)");
942       }
943 
944       ridx = row % bs; cidx = col % bs; /*row and col index inside the block */
945       if ((brow==bcol && ridx<=cidx) || (brow<bcol)) {
946         /* element value a(k,l) */
947         if (roworiented) value = v[l + k*n];
948         else value = v[k + l*m];
949 
950         /* move pointer bap to a(k,l) quickly and add/insert value */
951         if (col <= lastcol) low = 0;
952         high = nrow;
953         lastcol = col;
954         while (high-low > 7) {
955           t = (low+high)/2;
956           if (rp[t] > bcol) high = t;
957           else              low  = t;
958         }
959         for (i=low; i<high; i++) {
960           if (rp[i] > bcol) break;
961           if (rp[i] == bcol) {
962             bap = ap +  bs2*i + bs*cidx + ridx;
963             if (is == ADD_VALUES) *bap += value;
964             else                  *bap  = value;
965             /* for diag block, add/insert its symmetric element a(cidx,ridx) */
966             if (brow == bcol && ridx < cidx) {
967               bap = ap +  bs2*i + bs*ridx + cidx;
968               if (is == ADD_VALUES) *bap += value;
969               else                  *bap  = value;
970             }
971             goto noinsert1;
972           }
973         }
974 
975         if (nonew == 1) goto noinsert1;
976         if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) in the matrix", row, col);
977         MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
978 
979         N = nrow++ - 1; high++;
980         /* shift up all the later entries in this row */
981         for (ii=N; ii>=i; ii--) {
982           rp[ii+1] = rp[ii];
983           ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
984         }
985         if (N>=i) {
986           ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
987         }
988         rp[i]                      = bcol;
989         ap[bs2*i + bs*cidx + ridx] = value;
990         A->nonzerostate++;
991 noinsert1:;
992         low = i;
993       }
994     }   /* end of loop over added columns */
995     ailen[brow] = nrow;
996   }   /* end of loop over added rows */
997   PetscFunctionReturn(0);
998 }
999 
1000 #undef __FUNCT__
1001 #define __FUNCT__ "MatICCFactor_SeqSBAIJ"
1002 PetscErrorCode MatICCFactor_SeqSBAIJ(Mat inA,IS row,const MatFactorInfo *info)
1003 {
1004   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)inA->data;
1005   Mat            outA;
1006   PetscErrorCode ierr;
1007   PetscBool      row_identity;
1008 
1009   PetscFunctionBegin;
1010   if (info->levels != 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only levels=0 is supported for in-place icc");
1011   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
1012   if (!row_identity) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Matrix reordering is not supported");
1013   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()! */
1014 
1015   outA            = inA;
1016   inA->factortype = MAT_FACTOR_ICC;
1017 
1018   ierr = MatMarkDiagonal_SeqSBAIJ(inA);CHKERRQ(ierr);
1019   ierr = MatSeqSBAIJSetNumericFactorization_inplace(inA,row_identity);CHKERRQ(ierr);
1020 
1021   ierr   = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
1022   ierr   = ISDestroy(&a->row);CHKERRQ(ierr);
1023   a->row = row;
1024   ierr   = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
1025   ierr   = ISDestroy(&a->col);CHKERRQ(ierr);
1026   a->col = row;
1027 
1028   /* Create the invert permutation so that it can be used in MatCholeskyFactorNumeric() */
1029   if (a->icol) {ierr = ISInvertPermutation(row,PETSC_DECIDE, &a->icol);CHKERRQ(ierr);}
1030   ierr = PetscLogObjectParent((PetscObject)inA,(PetscObject)a->icol);CHKERRQ(ierr);
1031 
1032   if (!a->solve_work) {
1033     ierr = PetscMalloc1((inA->rmap->N+inA->rmap->bs),&a->solve_work);CHKERRQ(ierr);
1034     ierr = PetscLogObjectMemory((PetscObject)inA,(inA->rmap->N+inA->rmap->bs)*sizeof(PetscScalar));CHKERRQ(ierr);
1035   }
1036 
1037   ierr = MatCholeskyFactorNumeric(outA,inA,info);CHKERRQ(ierr);
1038   PetscFunctionReturn(0);
1039 }
1040 
1041 #undef __FUNCT__
1042 #define __FUNCT__ "MatSeqSBAIJSetColumnIndices_SeqSBAIJ"
1043 PetscErrorCode  MatSeqSBAIJSetColumnIndices_SeqSBAIJ(Mat mat,PetscInt *indices)
1044 {
1045   Mat_SeqSBAIJ   *baij = (Mat_SeqSBAIJ*)mat->data;
1046   PetscInt       i,nz,n;
1047   PetscErrorCode ierr;
1048 
1049   PetscFunctionBegin;
1050   nz = baij->maxnz;
1051   n  = mat->cmap->n;
1052   for (i=0; i<nz; i++) baij->j[i] = indices[i];
1053 
1054   baij->nz = nz;
1055   for (i=0; i<n; i++) baij->ilen[i] = baij->imax[i];
1056 
1057   ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
1058   PetscFunctionReturn(0);
1059 }
1060 
1061 #undef __FUNCT__
1062 #define __FUNCT__ "MatSeqSBAIJSetColumnIndices"
1063 /*@
1064   MatSeqSBAIJSetColumnIndices - Set the column indices for all the rows
1065   in the matrix.
1066 
1067   Input Parameters:
1068   +  mat     - the SeqSBAIJ matrix
1069   -  indices - the column indices
1070 
1071   Level: advanced
1072 
1073   Notes:
1074   This can be called if you have precomputed the nonzero structure of the
1075   matrix and want to provide it to the matrix object to improve the performance
1076   of the MatSetValues() operation.
1077 
1078   You MUST have set the correct numbers of nonzeros per row in the call to
1079   MatCreateSeqSBAIJ(), and the columns indices MUST be sorted.
1080 
1081   MUST be called before any calls to MatSetValues()
1082 
1083   .seealso: MatCreateSeqSBAIJ
1084 @*/
1085 PetscErrorCode  MatSeqSBAIJSetColumnIndices(Mat mat,PetscInt *indices)
1086 {
1087   PetscErrorCode ierr;
1088 
1089   PetscFunctionBegin;
1090   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
1091   PetscValidPointer(indices,2);
1092   ierr = PetscUseMethod(mat,"MatSeqSBAIJSetColumnIndices_C",(Mat,PetscInt*),(mat,indices));CHKERRQ(ierr);
1093   PetscFunctionReturn(0);
1094 }
1095 
1096 #undef __FUNCT__
1097 #define __FUNCT__ "MatCopy_SeqSBAIJ"
1098 PetscErrorCode MatCopy_SeqSBAIJ(Mat A,Mat B,MatStructure str)
1099 {
1100   PetscErrorCode ierr;
1101 
1102   PetscFunctionBegin;
1103   /* If the two matrices have the same copy implementation, use fast copy. */
1104   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
1105     Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
1106     Mat_SeqSBAIJ *b = (Mat_SeqSBAIJ*)B->data;
1107 
1108     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");
1109     ierr = PetscMemcpy(b->a,a->a,(a->i[A->rmap->N])*sizeof(PetscScalar));CHKERRQ(ierr);
1110   } else {
1111     ierr = MatGetRowUpperTriangular(A);CHKERRQ(ierr);
1112     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
1113     ierr = MatRestoreRowUpperTriangular(A);CHKERRQ(ierr);
1114   }
1115   PetscFunctionReturn(0);
1116 }
1117 
1118 #undef __FUNCT__
1119 #define __FUNCT__ "MatSetUp_SeqSBAIJ"
1120 PetscErrorCode MatSetUp_SeqSBAIJ(Mat A)
1121 {
1122   PetscErrorCode ierr;
1123 
1124   PetscFunctionBegin;
1125   ierr = MatSeqSBAIJSetPreallocation_SeqSBAIJ(A,A->rmap->bs,PETSC_DEFAULT,0);CHKERRQ(ierr);
1126   PetscFunctionReturn(0);
1127 }
1128 
1129 #undef __FUNCT__
1130 #define __FUNCT__ "MatSeqSBAIJGetArray_SeqSBAIJ"
1131 PetscErrorCode MatSeqSBAIJGetArray_SeqSBAIJ(Mat A,PetscScalar *array[])
1132 {
1133   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
1134 
1135   PetscFunctionBegin;
1136   *array = a->a;
1137   PetscFunctionReturn(0);
1138 }
1139 
1140 #undef __FUNCT__
1141 #define __FUNCT__ "MatSeqSBAIJRestoreArray_SeqSBAIJ"
1142 PetscErrorCode MatSeqSBAIJRestoreArray_SeqSBAIJ(Mat A,PetscScalar *array[])
1143 {
1144   PetscFunctionBegin;
1145   PetscFunctionReturn(0);
1146 }
1147 
1148 #undef __FUNCT__
1149 #define __FUNCT__ "MatAXPYGetPreallocation_SeqSBAIJ"
1150 PetscErrorCode MatAXPYGetPreallocation_SeqSBAIJ(Mat Y,Mat X,PetscInt *nnz)
1151 {
1152   PetscInt       bs = Y->rmap->bs,mbs = Y->rmap->N/bs;
1153   Mat_SeqSBAIJ   *x = (Mat_SeqSBAIJ*)X->data;
1154   Mat_SeqSBAIJ   *y = (Mat_SeqSBAIJ*)Y->data;
1155   PetscErrorCode ierr;
1156 
1157   PetscFunctionBegin;
1158   /* Set the number of nonzeros in the new matrix */
1159   ierr = MatAXPYGetPreallocation_SeqX_private(mbs,x->i,x->j,y->i,y->j,nnz);CHKERRQ(ierr);
1160   PetscFunctionReturn(0);
1161 }
1162 
1163 #undef __FUNCT__
1164 #define __FUNCT__ "MatAXPY_SeqSBAIJ"
1165 PetscErrorCode MatAXPY_SeqSBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
1166 {
1167   Mat_SeqSBAIJ   *x=(Mat_SeqSBAIJ*)X->data, *y=(Mat_SeqSBAIJ*)Y->data;
1168   PetscErrorCode ierr;
1169   PetscInt       bs=Y->rmap->bs,bs2=bs*bs;
1170   PetscBLASInt   one = 1;
1171 
1172   PetscFunctionBegin;
1173   if (str == SAME_NONZERO_PATTERN) {
1174     PetscScalar  alpha = a;
1175     PetscBLASInt bnz;
1176     ierr = PetscBLASIntCast(x->nz*bs2,&bnz);CHKERRQ(ierr);
1177     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
1178     ierr = PetscObjectStateIncrease((PetscObject)Y);CHKERRQ(ierr);
1179   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
1180     ierr = MatSetOption(X,MAT_GETROW_UPPERTRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
1181     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
1182     ierr = MatSetOption(X,MAT_GETROW_UPPERTRIANGULAR,PETSC_FALSE);CHKERRQ(ierr);
1183   } else {
1184     Mat      B;
1185     PetscInt *nnz;
1186     if (bs != X->rmap->bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Matrices must have same block size");
1187     ierr = MatGetRowUpperTriangular(X);CHKERRQ(ierr);
1188     ierr = MatGetRowUpperTriangular(Y);CHKERRQ(ierr);
1189     ierr = PetscMalloc1(Y->rmap->N,&nnz);CHKERRQ(ierr);
1190     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
1191     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
1192     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
1193     ierr = MatSetBlockSizesFromMats(B,Y,Y);CHKERRQ(ierr);
1194     ierr = MatSetType(B,(MatType) ((PetscObject)Y)->type_name);CHKERRQ(ierr);
1195     ierr = MatAXPYGetPreallocation_SeqSBAIJ(Y,X,nnz);CHKERRQ(ierr);
1196     ierr = MatSeqSBAIJSetPreallocation(B,bs,0,nnz);CHKERRQ(ierr);
1197 
1198     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
1199 
1200     ierr = MatHeaderReplace(Y,B);CHKERRQ(ierr);
1201     ierr = PetscFree(nnz);CHKERRQ(ierr);
1202     ierr = MatRestoreRowUpperTriangular(X);CHKERRQ(ierr);
1203     ierr = MatRestoreRowUpperTriangular(Y);CHKERRQ(ierr);
1204   }
1205   PetscFunctionReturn(0);
1206 }
1207 
1208 #undef __FUNCT__
1209 #define __FUNCT__ "MatIsSymmetric_SeqSBAIJ"
1210 PetscErrorCode MatIsSymmetric_SeqSBAIJ(Mat A,PetscReal tol,PetscBool  *flg)
1211 {
1212   PetscFunctionBegin;
1213   *flg = PETSC_TRUE;
1214   PetscFunctionReturn(0);
1215 }
1216 
1217 #undef __FUNCT__
1218 #define __FUNCT__ "MatIsStructurallySymmetric_SeqSBAIJ"
1219 PetscErrorCode MatIsStructurallySymmetric_SeqSBAIJ(Mat A,PetscBool  *flg)
1220 {
1221   PetscFunctionBegin;
1222   *flg = PETSC_TRUE;
1223   PetscFunctionReturn(0);
1224 }
1225 
1226 #undef __FUNCT__
1227 #define __FUNCT__ "MatIsHermitian_SeqSBAIJ"
1228 PetscErrorCode MatIsHermitian_SeqSBAIJ(Mat A,PetscReal tol,PetscBool  *flg)
1229 {
1230   PetscFunctionBegin;
1231   *flg = PETSC_FALSE;
1232   PetscFunctionReturn(0);
1233 }
1234 
1235 #undef __FUNCT__
1236 #define __FUNCT__ "MatRealPart_SeqSBAIJ"
1237 PetscErrorCode MatRealPart_SeqSBAIJ(Mat A)
1238 {
1239   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
1240   PetscInt     i,nz = a->bs2*a->i[a->mbs];
1241   MatScalar    *aa = a->a;
1242 
1243   PetscFunctionBegin;
1244   for (i=0; i<nz; i++) aa[i] = PetscRealPart(aa[i]);
1245   PetscFunctionReturn(0);
1246 }
1247 
1248 #undef __FUNCT__
1249 #define __FUNCT__ "MatImaginaryPart_SeqSBAIJ"
1250 PetscErrorCode MatImaginaryPart_SeqSBAIJ(Mat A)
1251 {
1252   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
1253   PetscInt     i,nz = a->bs2*a->i[a->mbs];
1254   MatScalar    *aa = a->a;
1255 
1256   PetscFunctionBegin;
1257   for (i=0; i<nz; i++) aa[i] = PetscImaginaryPart(aa[i]);
1258   PetscFunctionReturn(0);
1259 }
1260 
1261 #undef __FUNCT__
1262 #define __FUNCT__ "MatZeroRowsColumns_SeqSBAIJ"
1263 PetscErrorCode MatZeroRowsColumns_SeqSBAIJ(Mat A,PetscInt is_n,const PetscInt is_idx[],PetscScalar diag,Vec x, Vec b)
1264 {
1265   Mat_SeqSBAIJ      *baij=(Mat_SeqSBAIJ*)A->data;
1266   PetscErrorCode    ierr;
1267   PetscInt          i,j,k,count;
1268   PetscInt          bs   =A->rmap->bs,bs2=baij->bs2,row,col;
1269   PetscScalar       zero = 0.0;
1270   MatScalar         *aa;
1271   const PetscScalar *xx;
1272   PetscScalar       *bb;
1273   PetscBool         *zeroed,vecs = PETSC_FALSE;
1274 
1275   PetscFunctionBegin;
1276   /* fix right hand side if needed */
1277   if (x && b) {
1278     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1279     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1280     vecs = PETSC_TRUE;
1281   }
1282 
1283   /* zero the columns */
1284   ierr = PetscCalloc1(A->rmap->n,&zeroed);CHKERRQ(ierr);
1285   for (i=0; i<is_n; i++) {
1286     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]);
1287     zeroed[is_idx[i]] = PETSC_TRUE;
1288   }
1289   if (vecs) {
1290     for (i=0; i<A->rmap->N; i++) {
1291       row = i/bs;
1292       for (j=baij->i[row]; j<baij->i[row+1]; j++) {
1293         for (k=0; k<bs; k++) {
1294           col = bs*baij->j[j] + k;
1295           if (col <= i) continue;
1296           aa = ((MatScalar*)(baij->a)) + j*bs2 + (i%bs) + bs*k;
1297           if (!zeroed[i] && zeroed[col]) bb[i]   -= aa[0]*xx[col];
1298           if (zeroed[i] && !zeroed[col]) bb[col] -= aa[0]*xx[i];
1299         }
1300       }
1301     }
1302     for (i=0; i<is_n; i++) bb[is_idx[i]] = diag*xx[is_idx[i]];
1303   }
1304 
1305   for (i=0; i<A->rmap->N; i++) {
1306     if (!zeroed[i]) {
1307       row = i/bs;
1308       for (j=baij->i[row]; j<baij->i[row+1]; j++) {
1309         for (k=0; k<bs; k++) {
1310           col = bs*baij->j[j] + k;
1311           if (zeroed[col]) {
1312             aa = ((MatScalar*)(baij->a)) + j*bs2 + (i%bs) + bs*k;
1313             aa[0] = 0.0;
1314           }
1315         }
1316       }
1317     }
1318   }
1319   ierr = PetscFree(zeroed);CHKERRQ(ierr);
1320   if (vecs) {
1321     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1322     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1323   }
1324 
1325   /* zero the rows */
1326   for (i=0; i<is_n; i++) {
1327     row   = is_idx[i];
1328     count = (baij->i[row/bs +1] - baij->i[row/bs])*bs;
1329     aa    = ((MatScalar*)(baij->a)) + baij->i[row/bs]*bs2 + (row%bs);
1330     for (k=0; k<count; k++) {
1331       aa[0] =  zero;
1332       aa   += bs;
1333     }
1334     if (diag != 0.0) {
1335       ierr = (*A->ops->setvalues)(A,1,&row,1,&row,&diag,INSERT_VALUES);CHKERRQ(ierr);
1336     }
1337   }
1338   ierr = MatAssemblyEnd_SeqSBAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1339   PetscFunctionReturn(0);
1340 }
1341 
1342 /* -------------------------------------------------------------------*/
1343 static struct _MatOps MatOps_Values = {MatSetValues_SeqSBAIJ,
1344                                        MatGetRow_SeqSBAIJ,
1345                                        MatRestoreRow_SeqSBAIJ,
1346                                        MatMult_SeqSBAIJ_N,
1347                                /*  4*/ MatMultAdd_SeqSBAIJ_N,
1348                                        MatMult_SeqSBAIJ_N,       /* transpose versions are same as non-transpose versions */
1349                                        MatMultAdd_SeqSBAIJ_N,
1350                                        0,
1351                                        0,
1352                                        0,
1353                                /* 10*/ 0,
1354                                        0,
1355                                        MatCholeskyFactor_SeqSBAIJ,
1356                                        MatSOR_SeqSBAIJ,
1357                                        MatTranspose_SeqSBAIJ,
1358                                /* 15*/ MatGetInfo_SeqSBAIJ,
1359                                        MatEqual_SeqSBAIJ,
1360                                        MatGetDiagonal_SeqSBAIJ,
1361                                        MatDiagonalScale_SeqSBAIJ,
1362                                        MatNorm_SeqSBAIJ,
1363                                /* 20*/ 0,
1364                                        MatAssemblyEnd_SeqSBAIJ,
1365                                        MatSetOption_SeqSBAIJ,
1366                                        MatZeroEntries_SeqSBAIJ,
1367                                /* 24*/ 0,
1368                                        0,
1369                                        0,
1370                                        0,
1371                                        0,
1372                                /* 29*/ MatSetUp_SeqSBAIJ,
1373                                        0,
1374                                        0,
1375                                        0,
1376                                        0,
1377                                /* 34*/ MatDuplicate_SeqSBAIJ,
1378                                        0,
1379                                        0,
1380                                        0,
1381                                        MatICCFactor_SeqSBAIJ,
1382                                /* 39*/ MatAXPY_SeqSBAIJ,
1383                                        MatGetSubMatrices_SeqSBAIJ,
1384                                        MatIncreaseOverlap_SeqSBAIJ,
1385                                        MatGetValues_SeqSBAIJ,
1386                                        MatCopy_SeqSBAIJ,
1387                                /* 44*/ 0,
1388                                        MatScale_SeqSBAIJ,
1389                                        0,
1390                                        0,
1391                                        MatZeroRowsColumns_SeqSBAIJ,
1392                                /* 49*/ 0,
1393                                        MatGetRowIJ_SeqSBAIJ,
1394                                        MatRestoreRowIJ_SeqSBAIJ,
1395                                        0,
1396                                        0,
1397                                /* 54*/ 0,
1398                                        0,
1399                                        0,
1400                                        0,
1401                                        MatSetValuesBlocked_SeqSBAIJ,
1402                                /* 59*/ MatGetSubMatrix_SeqSBAIJ,
1403                                        0,
1404                                        0,
1405                                        0,
1406                                        0,
1407                                /* 64*/ 0,
1408                                        0,
1409                                        0,
1410                                        0,
1411                                        0,
1412                                /* 69*/ MatGetRowMaxAbs_SeqSBAIJ,
1413                                        0,
1414                                        0,
1415                                        0,
1416                                        0,
1417                                /* 74*/ 0,
1418                                        0,
1419                                        0,
1420                                        0,
1421                                        0,
1422                                /* 79*/ 0,
1423                                        0,
1424                                        0,
1425                                        MatGetInertia_SeqSBAIJ,
1426                                        MatLoad_SeqSBAIJ,
1427                                /* 84*/ MatIsSymmetric_SeqSBAIJ,
1428                                        MatIsHermitian_SeqSBAIJ,
1429                                        MatIsStructurallySymmetric_SeqSBAIJ,
1430                                        0,
1431                                        0,
1432                                /* 89*/ 0,
1433                                        0,
1434                                        0,
1435                                        0,
1436                                        0,
1437                                /* 94*/ 0,
1438                                        0,
1439                                        0,
1440                                        0,
1441                                        0,
1442                                /* 99*/ 0,
1443                                        0,
1444                                        0,
1445                                        0,
1446                                        0,
1447                                /*104*/ 0,
1448                                        MatRealPart_SeqSBAIJ,
1449                                        MatImaginaryPart_SeqSBAIJ,
1450                                        MatGetRowUpperTriangular_SeqSBAIJ,
1451                                        MatRestoreRowUpperTriangular_SeqSBAIJ,
1452                                /*109*/ 0,
1453                                        0,
1454                                        0,
1455                                        0,
1456                                        MatMissingDiagonal_SeqSBAIJ,
1457                                /*114*/ 0,
1458                                        0,
1459                                        0,
1460                                        0,
1461                                        0,
1462                                /*119*/ 0,
1463                                        0,
1464                                        0,
1465                                        0,
1466                                        0,
1467                                /*124*/ 0,
1468                                        0,
1469                                        0,
1470                                        0,
1471                                        0,
1472                                /*129*/ 0,
1473                                        0,
1474                                        0,
1475                                        0,
1476                                        0,
1477                                /*134*/ 0,
1478                                        0,
1479                                        0,
1480                                        0,
1481                                        0,
1482                                /*139*/ 0,
1483                                        0,
1484                                        0
1485 };
1486 
1487 #undef __FUNCT__
1488 #define __FUNCT__ "MatStoreValues_SeqSBAIJ"
1489 PetscErrorCode  MatStoreValues_SeqSBAIJ(Mat mat)
1490 {
1491   Mat_SeqSBAIJ   *aij = (Mat_SeqSBAIJ*)mat->data;
1492   PetscInt       nz   = aij->i[mat->rmap->N]*mat->rmap->bs*aij->bs2;
1493   PetscErrorCode ierr;
1494 
1495   PetscFunctionBegin;
1496   if (aij->nonew != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
1497 
1498   /* allocate space for values if not already there */
1499   if (!aij->saved_values) {
1500     ierr = PetscMalloc1((nz+1),&aij->saved_values);CHKERRQ(ierr);
1501   }
1502 
1503   /* copy values over */
1504   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
1505   PetscFunctionReturn(0);
1506 }
1507 
1508 #undef __FUNCT__
1509 #define __FUNCT__ "MatRetrieveValues_SeqSBAIJ"
1510 PetscErrorCode  MatRetrieveValues_SeqSBAIJ(Mat mat)
1511 {
1512   Mat_SeqSBAIJ   *aij = (Mat_SeqSBAIJ*)mat->data;
1513   PetscErrorCode ierr;
1514   PetscInt       nz = aij->i[mat->rmap->N]*mat->rmap->bs*aij->bs2;
1515 
1516   PetscFunctionBegin;
1517   if (aij->nonew != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
1518   if (!aij->saved_values) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
1519 
1520   /* copy values over */
1521   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
1522   PetscFunctionReturn(0);
1523 }
1524 
1525 #undef __FUNCT__
1526 #define __FUNCT__ "MatSeqSBAIJSetPreallocation_SeqSBAIJ"
1527 PetscErrorCode  MatSeqSBAIJSetPreallocation_SeqSBAIJ(Mat B,PetscInt bs,PetscInt nz,PetscInt *nnz)
1528 {
1529   Mat_SeqSBAIJ   *b = (Mat_SeqSBAIJ*)B->data;
1530   PetscErrorCode ierr;
1531   PetscInt       i,mbs,bs2;
1532   PetscBool      skipallocation = PETSC_FALSE,flg = PETSC_FALSE,realalloc = PETSC_FALSE;
1533 
1534   PetscFunctionBegin;
1535   if (nz >= 0 || nnz) realalloc = PETSC_TRUE;
1536   B->preallocated = PETSC_TRUE;
1537 
1538   ierr = MatSetBlockSize(B,PetscAbs(bs));CHKERRQ(ierr);
1539   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1540   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1541   ierr = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
1542 
1543   mbs = B->rmap->N/bs;
1544   bs2 = bs*bs;
1545 
1546   if (mbs*bs != B->rmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Number rows, cols must be divisible by blocksize");
1547 
1548   if (nz == MAT_SKIP_ALLOCATION) {
1549     skipallocation = PETSC_TRUE;
1550     nz             = 0;
1551   }
1552 
1553   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 3;
1554   if (nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %D",nz);
1555   if (nnz) {
1556     for (i=0; i<mbs; i++) {
1557       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]);
1558       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);
1559     }
1560   }
1561 
1562   B->ops->mult             = MatMult_SeqSBAIJ_N;
1563   B->ops->multadd          = MatMultAdd_SeqSBAIJ_N;
1564   B->ops->multtranspose    = MatMult_SeqSBAIJ_N;
1565   B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_N;
1566 
1567   ierr  = PetscOptionsGetBool(((PetscObject)B)->prefix,"-mat_no_unroll",&flg,NULL);CHKERRQ(ierr);
1568   if (!flg) {
1569     switch (bs) {
1570     case 1:
1571       B->ops->mult             = MatMult_SeqSBAIJ_1;
1572       B->ops->multadd          = MatMultAdd_SeqSBAIJ_1;
1573       B->ops->multtranspose    = MatMult_SeqSBAIJ_1;
1574       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_1;
1575       break;
1576     case 2:
1577       B->ops->mult             = MatMult_SeqSBAIJ_2;
1578       B->ops->multadd          = MatMultAdd_SeqSBAIJ_2;
1579       B->ops->multtranspose    = MatMult_SeqSBAIJ_2;
1580       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_2;
1581       break;
1582     case 3:
1583       B->ops->mult             = MatMult_SeqSBAIJ_3;
1584       B->ops->multadd          = MatMultAdd_SeqSBAIJ_3;
1585       B->ops->multtranspose    = MatMult_SeqSBAIJ_3;
1586       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_3;
1587       break;
1588     case 4:
1589       B->ops->mult             = MatMult_SeqSBAIJ_4;
1590       B->ops->multadd          = MatMultAdd_SeqSBAIJ_4;
1591       B->ops->multtranspose    = MatMult_SeqSBAIJ_4;
1592       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_4;
1593       break;
1594     case 5:
1595       B->ops->mult             = MatMult_SeqSBAIJ_5;
1596       B->ops->multadd          = MatMultAdd_SeqSBAIJ_5;
1597       B->ops->multtranspose    = MatMult_SeqSBAIJ_5;
1598       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_5;
1599       break;
1600     case 6:
1601       B->ops->mult             = MatMult_SeqSBAIJ_6;
1602       B->ops->multadd          = MatMultAdd_SeqSBAIJ_6;
1603       B->ops->multtranspose    = MatMult_SeqSBAIJ_6;
1604       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_6;
1605       break;
1606     case 7:
1607       B->ops->mult             = MatMult_SeqSBAIJ_7;
1608       B->ops->multadd          = MatMultAdd_SeqSBAIJ_7;
1609       B->ops->multtranspose    = MatMult_SeqSBAIJ_7;
1610       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_7;
1611       break;
1612     }
1613   }
1614 
1615   b->mbs = mbs;
1616   b->nbs = mbs;
1617   if (!skipallocation) {
1618     if (!b->imax) {
1619       ierr = PetscMalloc2(mbs,&b->imax,mbs,&b->ilen);CHKERRQ(ierr);
1620 
1621       b->free_imax_ilen = PETSC_TRUE;
1622 
1623       ierr = PetscLogObjectMemory((PetscObject)B,2*mbs*sizeof(PetscInt));CHKERRQ(ierr);
1624     }
1625     if (!nnz) {
1626       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
1627       else if (nz <= 0) nz = 1;
1628       for (i=0; i<mbs; i++) b->imax[i] = nz;
1629       nz = nz*mbs; /* total nz */
1630     } else {
1631       nz = 0;
1632       for (i=0; i<mbs; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
1633     }
1634     /* b->ilen will count nonzeros in each block row so far. */
1635     for (i=0; i<mbs; i++) b->ilen[i] = 0;
1636     /* nz=(nz+mbs)/2; */ /* total diagonal and superdiagonal nonzero blocks */
1637 
1638     /* allocate the matrix space */
1639     ierr = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
1640     ierr = PetscMalloc3(bs2*nz,&b->a,nz,&b->j,B->rmap->N+1,&b->i);CHKERRQ(ierr);
1641     ierr = PetscLogObjectMemory((PetscObject)B,(B->rmap->N+1)*sizeof(PetscInt)+nz*(bs2*sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
1642     ierr = PetscMemzero(b->a,nz*bs2*sizeof(MatScalar));CHKERRQ(ierr);
1643     ierr = PetscMemzero(b->j,nz*sizeof(PetscInt));CHKERRQ(ierr);
1644 
1645     b->singlemalloc = PETSC_TRUE;
1646 
1647     /* pointer to beginning of each row */
1648     b->i[0] = 0;
1649     for (i=1; i<mbs+1; i++) b->i[i] = b->i[i-1] + b->imax[i-1];
1650 
1651     b->free_a  = PETSC_TRUE;
1652     b->free_ij = PETSC_TRUE;
1653   } else {
1654     b->free_a  = PETSC_FALSE;
1655     b->free_ij = PETSC_FALSE;
1656   }
1657 
1658   B->rmap->bs = bs;
1659   b->bs2      = bs2;
1660   b->nz       = 0;
1661   b->maxnz    = nz;
1662 
1663   b->inew    = 0;
1664   b->jnew    = 0;
1665   b->anew    = 0;
1666   b->a2anew  = 0;
1667   b->permute = PETSC_FALSE;
1668   if (realalloc) {ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);}
1669   PetscFunctionReturn(0);
1670 }
1671 
1672 #undef __FUNCT__
1673 #define __FUNCT__ "MatSeqSBAIJSetPreallocationCSR_SeqSBAIJ"
1674 PetscErrorCode MatSeqSBAIJSetPreallocationCSR_SeqSBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[], const PetscScalar V[])
1675 {
1676   PetscInt       i,j,m,nz,nz_max=0,*nnz;
1677   PetscScalar    *values=0;
1678   PetscBool      roworiented = ((Mat_SeqSBAIJ*)B->data)->roworiented;
1679   PetscErrorCode ierr;
1680   PetscFunctionBegin;
1681   if (bs < 1) SETERRQ1(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_OUTOFRANGE,"Invalid block size specified, must be positive but it is %D",bs);
1682   ierr   = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
1683   ierr   = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
1684   ierr   = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1685   ierr   = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1686   ierr   = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
1687   m      = B->rmap->n/bs;
1688 
1689   if (ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"ii[0] must be 0 but it is %D",ii[0]);
1690   ierr = PetscMalloc1((m+1),&nnz);CHKERRQ(ierr);
1691   for (i=0; i<m; i++) {
1692     nz = ii[i+1] - ii[i];
1693     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row %D has a negative number of columns %D",i,nz);
1694     nz_max = PetscMax(nz_max,nz);
1695     nnz[i] = nz;
1696   }
1697   ierr = MatSeqSBAIJSetPreallocation(B,bs,0,nnz);CHKERRQ(ierr);
1698   ierr = PetscFree(nnz);CHKERRQ(ierr);
1699 
1700   values = (PetscScalar*)V;
1701   if (!values) {
1702     ierr = PetscCalloc1(bs*bs*nz_max,&values);CHKERRQ(ierr);
1703   }
1704   for (i=0; i<m; i++) {
1705     PetscInt          ncols  = ii[i+1] - ii[i];
1706     const PetscInt    *icols = jj + ii[i];
1707     if (!roworiented || bs == 1) {
1708       const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
1709       ierr = MatSetValuesBlocked_SeqSBAIJ(B,1,&i,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
1710     } else {
1711       for (j=0; j<ncols; j++) {
1712         const PetscScalar *svals = values + (V ? (bs*bs*(ii[i]+j)) : 0);
1713         ierr = MatSetValuesBlocked_SeqSBAIJ(B,1,&i,1,&icols[j],svals,INSERT_VALUES);CHKERRQ(ierr);
1714       }
1715     }
1716   }
1717   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
1718   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1719   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1720   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
1721   PetscFunctionReturn(0);
1722 }
1723 
1724 /*
1725    This is used to set the numeric factorization for both Cholesky and ICC symbolic factorization
1726 */
1727 #undef __FUNCT__
1728 #define __FUNCT__ "MatSeqSBAIJSetNumericFactorization_inplace"
1729 PetscErrorCode MatSeqSBAIJSetNumericFactorization_inplace(Mat B,PetscBool natural)
1730 {
1731   PetscErrorCode ierr;
1732   PetscBool      flg = PETSC_FALSE;
1733   PetscInt       bs  = B->rmap->bs;
1734 
1735   PetscFunctionBegin;
1736   ierr = PetscOptionsGetBool(((PetscObject)B)->prefix,"-mat_no_unroll",&flg,NULL);CHKERRQ(ierr);
1737   if (flg) bs = 8;
1738 
1739   if (!natural) {
1740     switch (bs) {
1741     case 1:
1742       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_1_inplace;
1743       break;
1744     case 2:
1745       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_2;
1746       break;
1747     case 3:
1748       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_3;
1749       break;
1750     case 4:
1751       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_4;
1752       break;
1753     case 5:
1754       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_5;
1755       break;
1756     case 6:
1757       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_6;
1758       break;
1759     case 7:
1760       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_7;
1761       break;
1762     default:
1763       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_N;
1764       break;
1765     }
1766   } else {
1767     switch (bs) {
1768     case 1:
1769       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_1_NaturalOrdering_inplace;
1770       break;
1771     case 2:
1772       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_2_NaturalOrdering;
1773       break;
1774     case 3:
1775       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_3_NaturalOrdering;
1776       break;
1777     case 4:
1778       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_4_NaturalOrdering;
1779       break;
1780     case 5:
1781       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_5_NaturalOrdering;
1782       break;
1783     case 6:
1784       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_6_NaturalOrdering;
1785       break;
1786     case 7:
1787       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_7_NaturalOrdering;
1788       break;
1789     default:
1790       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_N_NaturalOrdering;
1791       break;
1792     }
1793   }
1794   PetscFunctionReturn(0);
1795 }
1796 
1797 PETSC_EXTERN PetscErrorCode MatConvert_SeqSBAIJ_SeqAIJ(Mat, MatType,MatReuse,Mat*);
1798 PETSC_EXTERN PetscErrorCode MatConvert_SeqSBAIJ_SeqBAIJ(Mat, MatType,MatReuse,Mat*);
1799 
1800 #undef __FUNCT__
1801 #define __FUNCT__ "MatGetFactor_seqsbaij_petsc"
1802 PETSC_EXTERN PetscErrorCode MatGetFactor_seqsbaij_petsc(Mat A,MatFactorType ftype,Mat *B)
1803 {
1804   PetscInt       n = A->rmap->n;
1805   PetscErrorCode ierr;
1806 
1807   PetscFunctionBegin;
1808 #if defined(PETSC_USE_COMPLEX)
1809   if (A->hermitian) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Hermitian Factor is not supported");
1810 #endif
1811   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
1812   ierr = MatSetSizes(*B,n,n,n,n);CHKERRQ(ierr);
1813   if (ftype == MAT_FACTOR_CHOLESKY || ftype == MAT_FACTOR_ICC) {
1814     ierr = MatSetType(*B,MATSEQSBAIJ);CHKERRQ(ierr);
1815     ierr = MatSeqSBAIJSetPreallocation(*B,A->rmap->bs,MAT_SKIP_ALLOCATION,NULL);CHKERRQ(ierr);
1816 
1817     (*B)->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_SeqSBAIJ;
1818     (*B)->ops->iccfactorsymbolic      = MatICCFactorSymbolic_SeqSBAIJ;
1819   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Factor type not supported");
1820   (*B)->factortype = ftype;
1821   PetscFunctionReturn(0);
1822 }
1823 
1824 #undef __FUNCT__
1825 #define __FUNCT__ "MatGetFactorAvailable_seqsbaij_petsc"
1826 PetscErrorCode MatGetFactorAvailable_seqsbaij_petsc(Mat A,MatFactorType ftype,PetscBool  *flg)
1827 {
1828   PetscFunctionBegin;
1829   if (ftype == MAT_FACTOR_CHOLESKY || ftype == MAT_FACTOR_ICC) {
1830     *flg = PETSC_TRUE;
1831   } else {
1832     *flg = PETSC_FALSE;
1833   }
1834   PetscFunctionReturn(0);
1835 }
1836 
1837 #if defined(PETSC_HAVE_MUMPS)
1838 PETSC_EXTERN PetscErrorCode MatGetFactor_sbaij_mumps(Mat,MatFactorType,Mat*);
1839 #endif
1840 #if defined(PETSC_HAVE_PASTIX)
1841 PETSC_EXTERN PetscErrorCode MatGetFactor_seqsbaij_pastix(Mat,MatFactorType,Mat*);
1842 #endif
1843 #if defined(PETSC_HAVE_SUITESPARSE)
1844 PETSC_EXTERN PetscErrorCode MatGetFactor_seqsbaij_cholmod(Mat,MatFactorType,Mat*);
1845 #endif
1846 PETSC_EXTERN PetscErrorCode MatGetFactor_seqsbaij_sbstrm(Mat,MatFactorType,Mat*);
1847 
1848 /*MC
1849   MATSEQSBAIJ - MATSEQSBAIJ = "seqsbaij" - A matrix type to be used for sequential symmetric block sparse matrices,
1850   based on block compressed sparse row format.  Only the upper triangular portion of the matrix is stored.
1851 
1852   For complex numbers by default this matrix is symmetric, NOT Hermitian symmetric. To make it Hermitian symmetric you
1853   can call MatSetOption(Mat, MAT_HERMITIAN); after MatAssemblyEnd()
1854 
1855   Options Database Keys:
1856   . -mat_type seqsbaij - sets the matrix type to "seqsbaij" during a call to MatSetFromOptions()
1857 
1858   Notes: By default if you insert values into the lower triangular part of the matrix they are simply ignored (since they are not
1859      stored and it is assumed they symmetric to the upper triangular). If you call MatSetOption(Mat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_FALSE) or use
1860      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.
1861 
1862 
1863   Level: beginner
1864 
1865   .seealso: MatCreateSeqSBAIJ
1866 M*/
1867 
1868 PETSC_EXTERN PetscErrorCode MatConvert_SeqSBAIJ_SeqSBSTRM(Mat, MatType,MatReuse,Mat*);
1869 
1870 #undef __FUNCT__
1871 #define __FUNCT__ "MatCreate_SeqSBAIJ"
1872 PETSC_EXTERN PetscErrorCode MatCreate_SeqSBAIJ(Mat B)
1873 {
1874   Mat_SeqSBAIJ   *b;
1875   PetscErrorCode ierr;
1876   PetscMPIInt    size;
1877   PetscBool      no_unroll = PETSC_FALSE,no_inode = PETSC_FALSE;
1878 
1879   PetscFunctionBegin;
1880   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&size);CHKERRQ(ierr);
1881   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Comm must be of size 1");
1882 
1883   ierr    = PetscNewLog(B,&b);CHKERRQ(ierr);
1884   B->data = (void*)b;
1885   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
1886 
1887   B->ops->destroy    = MatDestroy_SeqSBAIJ;
1888   B->ops->view       = MatView_SeqSBAIJ;
1889   b->row             = 0;
1890   b->icol            = 0;
1891   b->reallocs        = 0;
1892   b->saved_values    = 0;
1893   b->inode.limit     = 5;
1894   b->inode.max_limit = 5;
1895 
1896   b->roworiented        = PETSC_TRUE;
1897   b->nonew              = 0;
1898   b->diag               = 0;
1899   b->solve_work         = 0;
1900   b->mult_work          = 0;
1901   B->spptr              = 0;
1902   B->info.nz_unneeded   = (PetscReal)b->maxnz*b->bs2;
1903   b->keepnonzeropattern = PETSC_FALSE;
1904   b->xtoy               = 0;
1905   b->XtoY               = 0;
1906 
1907   b->inew    = 0;
1908   b->jnew    = 0;
1909   b->anew    = 0;
1910   b->a2anew  = 0;
1911   b->permute = PETSC_FALSE;
1912 
1913   b->ignore_ltriangular = PETSC_TRUE;
1914 
1915   ierr = PetscOptionsGetBool(((PetscObject)B)->prefix,"-mat_ignore_lower_triangular",&b->ignore_ltriangular,NULL);CHKERRQ(ierr);
1916 
1917   b->getrow_utriangular = PETSC_FALSE;
1918 
1919   ierr = PetscOptionsGetBool(((PetscObject)B)->prefix,"-mat_getrow_uppertriangular",&b->getrow_utriangular,NULL);CHKERRQ(ierr);
1920 
1921 #if defined(PETSC_HAVE_PASTIX)
1922   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_pastix_C",MatGetFactor_seqsbaij_pastix);CHKERRQ(ierr);
1923 #endif
1924 #if defined(PETSC_HAVE_MUMPS)
1925   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_mumps_C",MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
1926 #endif
1927 #if defined(PETSC_HAVE_SUITESPARSE)
1928   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_cholmod_C",MatGetFactor_seqsbaij_cholmod);CHKERRQ(ierr);
1929 #endif
1930   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactorAvailable_petsc_C",MatGetFactorAvailable_seqsbaij_petsc);CHKERRQ(ierr);
1931   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_petsc_C",MatGetFactor_seqsbaij_petsc);CHKERRQ(ierr);
1932   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_sbstrm_C",MatGetFactor_seqsbaij_sbstrm);CHKERRQ(ierr);
1933   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_SeqSBAIJ);CHKERRQ(ierr);
1934   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_SeqSBAIJ);CHKERRQ(ierr);
1935   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqSBAIJSetColumnIndices_C",MatSeqSBAIJSetColumnIndices_SeqSBAIJ);CHKERRQ(ierr);
1936   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqsbaij_seqaij_C",MatConvert_SeqSBAIJ_SeqAIJ);CHKERRQ(ierr);
1937   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqsbaij_seqbaij_C",MatConvert_SeqSBAIJ_SeqBAIJ);CHKERRQ(ierr);
1938   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqSBAIJSetPreallocation_C",MatSeqSBAIJSetPreallocation_SeqSBAIJ);CHKERRQ(ierr);
1939   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqSBAIJSetPreallocationCSR_C",MatSeqSBAIJSetPreallocationCSR_SeqSBAIJ);CHKERRQ(ierr);
1940   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqsbaij_seqsbstrm_C",MatConvert_SeqSBAIJ_SeqSBSTRM);CHKERRQ(ierr);
1941 
1942   B->symmetric                  = PETSC_TRUE;
1943   B->structurally_symmetric     = PETSC_TRUE;
1944   B->symmetric_set              = PETSC_TRUE;
1945   B->structurally_symmetric_set = PETSC_TRUE;
1946 
1947   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQSBAIJ);CHKERRQ(ierr);
1948 
1949   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)B),((PetscObject)B)->prefix,"Options for SEQSBAIJ matrix","Mat");CHKERRQ(ierr);
1950   ierr = PetscOptionsBool("-mat_no_unroll","Do not optimize for inodes (slower)",NULL,no_unroll,&no_unroll,NULL);CHKERRQ(ierr);
1951   if (no_unroll) {
1952     ierr = PetscInfo(B,"Not using Inode routines due to -mat_no_unroll\n");CHKERRQ(ierr);
1953   }
1954   ierr = PetscOptionsBool("-mat_no_inode","Do not optimize for inodes (slower)",NULL,no_inode,&no_inode,NULL);CHKERRQ(ierr);
1955   if (no_inode) {
1956     ierr = PetscInfo(B,"Not using Inode routines due to -mat_no_inode\n");CHKERRQ(ierr);
1957   }
1958   ierr = PetscOptionsInt("-mat_inode_limit","Do not use inodes larger then this value",NULL,b->inode.limit,&b->inode.limit,NULL);CHKERRQ(ierr);
1959   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1960   b->inode.use = (PetscBool)(!(no_unroll || no_inode));
1961   if (b->inode.limit > b->inode.max_limit) b->inode.limit = b->inode.max_limit;
1962   PetscFunctionReturn(0);
1963 }
1964 
1965 #undef __FUNCT__
1966 #define __FUNCT__ "MatSeqSBAIJSetPreallocation"
1967 /*@C
1968    MatSeqSBAIJSetPreallocation - Creates a sparse symmetric matrix in block AIJ (block
1969    compressed row) format.  For good matrix assembly performance the
1970    user should preallocate the matrix storage by setting the parameter nz
1971    (or the array nnz).  By setting these parameters accurately, performance
1972    during matrix assembly can be increased by more than a factor of 50.
1973 
1974    Collective on Mat
1975 
1976    Input Parameters:
1977 +  B - the symmetric matrix
1978 .  bs - size of block
1979 .  nz - number of block nonzeros per block row (same for all rows)
1980 -  nnz - array containing the number of block nonzeros in the upper triangular plus
1981          diagonal portion of each block (possibly different for each block row) or NULL
1982 
1983    Options Database Keys:
1984 .   -mat_no_unroll - uses code that does not unroll the loops in the
1985                      block calculations (much slower)
1986 .    -mat_block_size - size of the blocks to use (only works if a negative bs is passed in
1987 
1988    Level: intermediate
1989 
1990    Notes:
1991    Specify the preallocated storage with either nz or nnz (not both).
1992    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
1993    allocation.  See Users-Manual: ch_mat for details.
1994 
1995    You can call MatGetInfo() to get information on how effective the preallocation was;
1996    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
1997    You can also run with the option -info and look for messages with the string
1998    malloc in them to see if additional memory allocation was needed.
1999 
2000    If the nnz parameter is given then the nz parameter is ignored
2001 
2002 
2003 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateSBAIJ()
2004 @*/
2005 PetscErrorCode  MatSeqSBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt nz,const PetscInt nnz[])
2006 {
2007   PetscErrorCode ierr;
2008 
2009   PetscFunctionBegin;
2010   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
2011   PetscValidType(B,1);
2012   PetscValidLogicalCollectiveInt(B,bs,2);
2013   ierr = PetscTryMethod(B,"MatSeqSBAIJSetPreallocation_C",(Mat,PetscInt,PetscInt,const PetscInt[]),(B,bs,nz,nnz));CHKERRQ(ierr);
2014   PetscFunctionReturn(0);
2015 }
2016 
2017 #undef  __FUNCT__
2018 #define __FUNCT__ "MatSeqSBAIJSetPreallocationCSR"
2019 /*@C
2020    MatSeqSBAIJSetPreallocationCSR - Allocates memory for a sparse sequential matrix in symmetric block AIJ format.
2021 
2022    Input Parameters:
2023 +  B - the matrix
2024 .  i - the indices into j for the start of each local row (starts with zero)
2025 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
2026 -  v - optional values in the matrix
2027 
2028    Level: developer
2029 
2030    Notes:
2031    The order of the entries in values is specified by the MatOption MAT_ROW_ORIENTED.  For example, C programs
2032    may want to use the default MAT_ROW_ORIENTED=PETSC_TRUE and use an array v[nnz][bs][bs] where the second index is
2033    over rows within a block and the last index is over columns within a block row.  Fortran programs will likely set
2034    MAT_ROW_ORIENTED=PETSC_FALSE and use a Fortran array v(bs,bs,nnz) in which the first index is over rows within a
2035    block column and the second index is over columns within a block.
2036 
2037 .keywords: matrix, block, aij, compressed row, sparse
2038 
2039 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValuesBlocked(), MatSeqSBAIJSetPreallocation(), MATSEQSBAIJ
2040 @*/
2041 PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
2042 {
2043   PetscErrorCode ierr;
2044 
2045   PetscFunctionBegin;
2046   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
2047   PetscValidType(B,1);
2048   PetscValidLogicalCollectiveInt(B,bs,2);
2049   ierr = PetscTryMethod(B,"MatSeqSBAIJSetPreallocationCSR_C",(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,bs,i,j,v));CHKERRQ(ierr);
2050   PetscFunctionReturn(0);
2051 }
2052 
2053 #undef __FUNCT__
2054 #define __FUNCT__ "MatCreateSeqSBAIJ"
2055 /*@C
2056    MatCreateSeqSBAIJ - Creates a sparse symmetric matrix in block AIJ (block
2057    compressed row) format.  For good matrix assembly performance the
2058    user should preallocate the matrix storage by setting the parameter nz
2059    (or the array nnz).  By setting these parameters accurately, performance
2060    during matrix assembly can be increased by more than a factor of 50.
2061 
2062    Collective on MPI_Comm
2063 
2064    Input Parameters:
2065 +  comm - MPI communicator, set to PETSC_COMM_SELF
2066 .  bs - size of block
2067 .  m - number of rows, or number of columns
2068 .  nz - number of block nonzeros per block row (same for all rows)
2069 -  nnz - array containing the number of block nonzeros in the upper triangular plus
2070          diagonal portion of each block (possibly different for each block row) or NULL
2071 
2072    Output Parameter:
2073 .  A - the symmetric matrix
2074 
2075    Options Database Keys:
2076 .   -mat_no_unroll - uses code that does not unroll the loops in the
2077                      block calculations (much slower)
2078 .    -mat_block_size - size of the blocks to use
2079 
2080    Level: intermediate
2081 
2082    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
2083    MatXXXXSetPreallocation() paradgm instead of this routine directly.
2084    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
2085 
2086    Notes:
2087    The number of rows and columns must be divisible by blocksize.
2088    This matrix type does not support complex Hermitian operation.
2089 
2090    Specify the preallocated storage with either nz or nnz (not both).
2091    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
2092    allocation.  See Users-Manual: ch_mat for details.
2093 
2094    If the nnz parameter is given then the nz parameter is ignored
2095 
2096 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateSBAIJ()
2097 @*/
2098 PetscErrorCode  MatCreateSeqSBAIJ(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
2099 {
2100   PetscErrorCode ierr;
2101 
2102   PetscFunctionBegin;
2103   ierr = MatCreate(comm,A);CHKERRQ(ierr);
2104   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
2105   ierr = MatSetType(*A,MATSEQSBAIJ);CHKERRQ(ierr);
2106   ierr = MatSeqSBAIJSetPreallocation_SeqSBAIJ(*A,bs,nz,(PetscInt*)nnz);CHKERRQ(ierr);
2107   PetscFunctionReturn(0);
2108 }
2109 
2110 #undef __FUNCT__
2111 #define __FUNCT__ "MatDuplicate_SeqSBAIJ"
2112 PetscErrorCode MatDuplicate_SeqSBAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
2113 {
2114   Mat            C;
2115   Mat_SeqSBAIJ   *c,*a = (Mat_SeqSBAIJ*)A->data;
2116   PetscErrorCode ierr;
2117   PetscInt       i,mbs = a->mbs,nz = a->nz,bs2 =a->bs2;
2118 
2119   PetscFunctionBegin;
2120   if (a->i[mbs] != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Corrupt matrix");
2121 
2122   *B   = 0;
2123   ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2124   ierr = MatSetSizes(C,A->rmap->N,A->cmap->n,A->rmap->N,A->cmap->n);CHKERRQ(ierr);
2125   ierr = MatSetType(C,MATSEQSBAIJ);CHKERRQ(ierr);
2126   ierr = PetscMemcpy(C->ops,A->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
2127   c    = (Mat_SeqSBAIJ*)C->data;
2128 
2129   C->preallocated       = PETSC_TRUE;
2130   C->factortype         = A->factortype;
2131   c->row                = 0;
2132   c->icol               = 0;
2133   c->saved_values       = 0;
2134   c->keepnonzeropattern = a->keepnonzeropattern;
2135   C->assembled          = PETSC_TRUE;
2136 
2137   ierr   = PetscLayoutReference(A->rmap,&C->rmap);CHKERRQ(ierr);
2138   ierr   = PetscLayoutReference(A->cmap,&C->cmap);CHKERRQ(ierr);
2139   c->bs2 = a->bs2;
2140   c->mbs = a->mbs;
2141   c->nbs = a->nbs;
2142 
2143   if  (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
2144     c->imax           = a->imax;
2145     c->ilen           = a->ilen;
2146     c->free_imax_ilen = PETSC_FALSE;
2147   } else {
2148     ierr = PetscMalloc2((mbs+1),&c->imax,(mbs+1),&c->ilen);CHKERRQ(ierr);
2149     ierr = PetscLogObjectMemory((PetscObject)C,2*(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
2150     for (i=0; i<mbs; i++) {
2151       c->imax[i] = a->imax[i];
2152       c->ilen[i] = a->ilen[i];
2153     }
2154     c->free_imax_ilen = PETSC_TRUE;
2155   }
2156 
2157   /* allocate the matrix space */
2158   if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
2159     ierr            = PetscMalloc1(bs2*nz,&c->a);CHKERRQ(ierr);
2160     ierr            = PetscLogObjectMemory((PetscObject)C,nz*bs2*sizeof(MatScalar));CHKERRQ(ierr);
2161     c->i            = a->i;
2162     c->j            = a->j;
2163     c->singlemalloc = PETSC_FALSE;
2164     c->free_a       = PETSC_TRUE;
2165     c->free_ij      = PETSC_FALSE;
2166     c->parent       = A;
2167     ierr            = PetscObjectReference((PetscObject)A);CHKERRQ(ierr);
2168     ierr            = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
2169     ierr            = MatSetOption(C,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
2170   } else {
2171     ierr            = PetscMalloc3(bs2*nz,&c->a,nz,&c->j,mbs+1,&c->i);CHKERRQ(ierr);
2172     ierr            = PetscMemcpy(c->i,a->i,(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
2173     ierr            = PetscLogObjectMemory((PetscObject)C,(mbs+1)*sizeof(PetscInt) + nz*(bs2*sizeof(MatScalar) + sizeof(PetscInt)));CHKERRQ(ierr);
2174     c->singlemalloc = PETSC_TRUE;
2175     c->free_a       = PETSC_TRUE;
2176     c->free_ij      = PETSC_TRUE;
2177   }
2178   if (mbs > 0) {
2179     if (cpvalues != MAT_SHARE_NONZERO_PATTERN) {
2180       ierr = PetscMemcpy(c->j,a->j,nz*sizeof(PetscInt));CHKERRQ(ierr);
2181     }
2182     if (cpvalues == MAT_COPY_VALUES) {
2183       ierr = PetscMemcpy(c->a,a->a,bs2*nz*sizeof(MatScalar));CHKERRQ(ierr);
2184     } else {
2185       ierr = PetscMemzero(c->a,bs2*nz*sizeof(MatScalar));CHKERRQ(ierr);
2186     }
2187     if (a->jshort) {
2188       /* cannot share jshort, it is reallocated in MatAssemblyEnd_SeqSBAIJ() */
2189       /* if the parent matrix is reassembled, this child matrix will never notice */
2190       ierr = PetscMalloc1(nz,&c->jshort);CHKERRQ(ierr);
2191       ierr = PetscLogObjectMemory((PetscObject)C,nz*sizeof(unsigned short));CHKERRQ(ierr);
2192       ierr = PetscMemcpy(c->jshort,a->jshort,nz*sizeof(unsigned short));CHKERRQ(ierr);
2193 
2194       c->free_jshort = PETSC_TRUE;
2195     }
2196   }
2197 
2198   c->roworiented = a->roworiented;
2199   c->nonew       = a->nonew;
2200 
2201   if (a->diag) {
2202     if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
2203       c->diag      = a->diag;
2204       c->free_diag = PETSC_FALSE;
2205     } else {
2206       ierr = PetscMalloc1(mbs,&c->diag);CHKERRQ(ierr);
2207       ierr = PetscLogObjectMemory((PetscObject)C,mbs*sizeof(PetscInt));CHKERRQ(ierr);
2208       for (i=0; i<mbs; i++) c->diag[i] = a->diag[i];
2209       c->free_diag = PETSC_TRUE;
2210     }
2211   }
2212   c->nz         = a->nz;
2213   c->maxnz      = a->nz; /* Since we allocate exactly the right amount */
2214   c->solve_work = 0;
2215   c->mult_work  = 0;
2216 
2217   *B   = C;
2218   ierr = PetscFunctionListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
2219   PetscFunctionReturn(0);
2220 }
2221 
2222 #undef __FUNCT__
2223 #define __FUNCT__ "MatLoad_SeqSBAIJ"
2224 PetscErrorCode MatLoad_SeqSBAIJ(Mat newmat,PetscViewer viewer)
2225 {
2226   Mat_SeqSBAIJ   *a;
2227   PetscErrorCode ierr;
2228   int            fd;
2229   PetscMPIInt    size;
2230   PetscInt       i,nz,header[4],*rowlengths=0,M,N,bs=1;
2231   PetscInt       *mask,mbs,*jj,j,rowcount,nzcount,k,*s_browlengths,maskcount;
2232   PetscInt       kmax,jcount,block,idx,point,nzcountb,extra_rows,rows,cols;
2233   PetscInt       *masked,nmask,tmp,bs2,ishift;
2234   PetscScalar    *aa;
2235   MPI_Comm       comm;
2236 
2237   PetscFunctionBegin;
2238   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
2239   ierr = PetscOptionsGetInt(((PetscObject)newmat)->prefix,"-matload_block_size",&bs,NULL);CHKERRQ(ierr);
2240   bs2  = bs*bs;
2241 
2242   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2243   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"view must have one processor");
2244   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
2245   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
2246   if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not Mat object");
2247   M = header[1]; N = header[2]; nz = header[3];
2248 
2249   if (header[3] < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as SeqSBAIJ");
2250 
2251   if (M != N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Can only do square matrices");
2252 
2253   /*
2254      This code adds extra rows to make sure the number of rows is
2255     divisible by the blocksize
2256   */
2257   mbs        = M/bs;
2258   extra_rows = bs - M + bs*(mbs);
2259   if (extra_rows == bs) extra_rows = 0;
2260   else                  mbs++;
2261   if (extra_rows) {
2262     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
2263   }
2264 
2265   /* Set global sizes if not already set */
2266   if (newmat->rmap->n < 0 && newmat->rmap->N < 0 && newmat->cmap->n < 0 && newmat->cmap->N < 0) {
2267     ierr = MatSetSizes(newmat,PETSC_DECIDE,PETSC_DECIDE,M+extra_rows,N+extra_rows);CHKERRQ(ierr);
2268   } else { /* Check if the matrix global sizes are correct */
2269     ierr = MatGetSize(newmat,&rows,&cols);CHKERRQ(ierr);
2270     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);
2271   }
2272 
2273   /* read in row lengths */
2274   ierr = PetscMalloc1((M+extra_rows),&rowlengths);CHKERRQ(ierr);
2275   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
2276   for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
2277 
2278   /* read in column indices */
2279   ierr = PetscMalloc1((nz+extra_rows),&jj);CHKERRQ(ierr);
2280   ierr = PetscBinaryRead(fd,jj,nz,PETSC_INT);CHKERRQ(ierr);
2281   for (i=0; i<extra_rows; i++) jj[nz+i] = M+i;
2282 
2283   /* loop over row lengths determining block row lengths */
2284   ierr     = PetscCalloc1(mbs,&s_browlengths);CHKERRQ(ierr);
2285   ierr     = PetscMalloc2(mbs,&mask,mbs,&masked);CHKERRQ(ierr);
2286   ierr     = PetscMemzero(mask,mbs*sizeof(PetscInt));CHKERRQ(ierr);
2287   rowcount = 0;
2288   nzcount  = 0;
2289   for (i=0; i<mbs; i++) {
2290     nmask = 0;
2291     for (j=0; j<bs; j++) {
2292       kmax = rowlengths[rowcount];
2293       for (k=0; k<kmax; k++) {
2294         tmp = jj[nzcount++]/bs;   /* block col. index */
2295         if (!mask[tmp] && tmp >= i) {masked[nmask++] = tmp; mask[tmp] = 1;}
2296       }
2297       rowcount++;
2298     }
2299     s_browlengths[i] += nmask;
2300 
2301     /* zero out the mask elements we set */
2302     for (j=0; j<nmask; j++) mask[masked[j]] = 0;
2303   }
2304 
2305   /* Do preallocation */
2306   ierr = MatSeqSBAIJSetPreallocation_SeqSBAIJ(newmat,bs,0,s_browlengths);CHKERRQ(ierr);
2307   a    = (Mat_SeqSBAIJ*)newmat->data;
2308 
2309   /* set matrix "i" values */
2310   a->i[0] = 0;
2311   for (i=1; i<= mbs; i++) {
2312     a->i[i]      = a->i[i-1] + s_browlengths[i-1];
2313     a->ilen[i-1] = s_browlengths[i-1];
2314   }
2315   a->nz = a->i[mbs];
2316 
2317   /* read in nonzero values */
2318   ierr = PetscMalloc1((nz+extra_rows),&aa);CHKERRQ(ierr);
2319   ierr = PetscBinaryRead(fd,aa,nz,PETSC_SCALAR);CHKERRQ(ierr);
2320   for (i=0; i<extra_rows; i++) aa[nz+i] = 1.0;
2321 
2322   /* set "a" and "j" values into matrix */
2323   nzcount = 0; jcount = 0;
2324   for (i=0; i<mbs; i++) {
2325     nzcountb = nzcount;
2326     nmask    = 0;
2327     for (j=0; j<bs; j++) {
2328       kmax = rowlengths[i*bs+j];
2329       for (k=0; k<kmax; k++) {
2330         tmp = jj[nzcount++]/bs; /* block col. index */
2331         if (!mask[tmp] && tmp >= i) { masked[nmask++] = tmp; mask[tmp] = 1;}
2332       }
2333     }
2334     /* sort the masked values */
2335     ierr = PetscSortInt(nmask,masked);CHKERRQ(ierr);
2336 
2337     /* set "j" values into matrix */
2338     maskcount = 1;
2339     for (j=0; j<nmask; j++) {
2340       a->j[jcount++]  = masked[j];
2341       mask[masked[j]] = maskcount++;
2342     }
2343 
2344     /* set "a" values into matrix */
2345     ishift = bs2*a->i[i];
2346     for (j=0; j<bs; j++) {
2347       kmax = rowlengths[i*bs+j];
2348       for (k=0; k<kmax; k++) {
2349         tmp = jj[nzcountb]/bs;        /* block col. index */
2350         if (tmp >= i) {
2351           block     = mask[tmp] - 1;
2352           point     = jj[nzcountb] - bs*tmp;
2353           idx       = ishift + bs2*block + j + bs*point;
2354           a->a[idx] = aa[nzcountb];
2355         }
2356         nzcountb++;
2357       }
2358     }
2359     /* zero out the mask elements we set */
2360     for (j=0; j<nmask; j++) mask[masked[j]] = 0;
2361   }
2362   if (jcount != a->nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Bad binary matrix");
2363 
2364   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
2365   ierr = PetscFree(s_browlengths);CHKERRQ(ierr);
2366   ierr = PetscFree(aa);CHKERRQ(ierr);
2367   ierr = PetscFree(jj);CHKERRQ(ierr);
2368   ierr = PetscFree2(mask,masked);CHKERRQ(ierr);
2369 
2370   ierr = MatAssemblyBegin(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2371   ierr = MatAssemblyEnd(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2372   PetscFunctionReturn(0);
2373 }
2374 
2375 #undef __FUNCT__
2376 #define __FUNCT__ "MatCreateSeqSBAIJWithArrays"
2377 /*@
2378      MatCreateSeqSBAIJWithArrays - Creates an sequential SBAIJ matrix using matrix elements
2379               (upper triangular entries in CSR format) provided by the user.
2380 
2381      Collective on MPI_Comm
2382 
2383    Input Parameters:
2384 +  comm - must be an MPI communicator of size 1
2385 .  bs - size of block
2386 .  m - number of rows
2387 .  n - number of columns
2388 .  i - row indices
2389 .  j - column indices
2390 -  a - matrix values
2391 
2392    Output Parameter:
2393 .  mat - the matrix
2394 
2395    Level: advanced
2396 
2397    Notes:
2398        The i, j, and a arrays are not copied by this routine, the user must free these arrays
2399     once the matrix is destroyed
2400 
2401        You cannot set new nonzero locations into this matrix, that will generate an error.
2402 
2403        The i and j indices are 0 based
2404 
2405        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
2406        it is the regular CSR format excluding the lower triangular elements.
2407 
2408 .seealso: MatCreate(), MatCreateSBAIJ(), MatCreateSeqSBAIJ()
2409 
2410 @*/
2411 PetscErrorCode  MatCreateSeqSBAIJWithArrays(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt *i,PetscInt *j,PetscScalar *a,Mat *mat)
2412 {
2413   PetscErrorCode ierr;
2414   PetscInt       ii;
2415   Mat_SeqSBAIJ   *sbaij;
2416 
2417   PetscFunctionBegin;
2418   if (bs != 1) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"block size %D > 1 is not supported yet",bs);
2419   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
2420 
2421   ierr  = MatCreate(comm,mat);CHKERRQ(ierr);
2422   ierr  = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
2423   ierr  = MatSetType(*mat,MATSEQSBAIJ);CHKERRQ(ierr);
2424   ierr  = MatSeqSBAIJSetPreallocation_SeqSBAIJ(*mat,bs,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
2425   sbaij = (Mat_SeqSBAIJ*)(*mat)->data;
2426   ierr  = PetscMalloc2(m,&sbaij->imax,m,&sbaij->ilen);CHKERRQ(ierr);
2427   ierr  = PetscLogObjectMemory((PetscObject)*mat,2*m*sizeof(PetscInt));CHKERRQ(ierr);
2428 
2429   sbaij->i = i;
2430   sbaij->j = j;
2431   sbaij->a = a;
2432 
2433   sbaij->singlemalloc = PETSC_FALSE;
2434   sbaij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
2435   sbaij->free_a       = PETSC_FALSE;
2436   sbaij->free_ij      = PETSC_FALSE;
2437 
2438   for (ii=0; ii<m; ii++) {
2439     sbaij->ilen[ii] = sbaij->imax[ii] = i[ii+1] - i[ii];
2440 #if defined(PETSC_USE_DEBUG)
2441     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]);
2442 #endif
2443   }
2444 #if defined(PETSC_USE_DEBUG)
2445   for (ii=0; ii<sbaij->i[m]; ii++) {
2446     if (j[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %d index = %d",ii,j[ii]);
2447     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]);
2448   }
2449 #endif
2450 
2451   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2452   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2453   PetscFunctionReturn(0);
2454 }
2455 
2456 
2457 
2458 
2459 
2460