xref: /petsc/src/mat/impls/sbaij/seq/sbaij.c (revision 17803ae8d02afaa2273ccf3906692afdb5cd2d26)
1 
2 /*
3     Defines the basic matrix operations for the SBAIJ (compressed row)
4   matrix storage format.
5 */
6 #include <../src/mat/impls/baij/seq/baij.h>         /*I "petscmat.h" I*/
7 #include <../src/mat/impls/sbaij/seq/sbaij.h>
8 #include <petscblaslapack.h>
9 
10 #include <../src/mat/impls/sbaij/seq/relax.h>
11 #define USESHORT
12 #include <../src/mat/impls/sbaij/seq/relax.h>
13 
14 extern PetscErrorCode MatSeqSBAIJSetNumericFactorization_inplace(Mat,PetscBool );
15 
16 /*
17      Checks for missing diagonals
18 */
19 #undef __FUNCT__
20 #define __FUNCT__ "MatMissingDiagonal_SeqSBAIJ"
21 PetscErrorCode MatMissingDiagonal_SeqSBAIJ(Mat A,PetscBool  *missing,PetscInt *dd)
22 {
23   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
24   PetscErrorCode ierr;
25   PetscInt       *diag,*jj = a->j,i;
26 
27   PetscFunctionBegin;
28   ierr = MatMarkDiagonal_SeqSBAIJ(A);CHKERRQ(ierr);
29   diag = a->diag;
30   *missing = PETSC_FALSE;
31   for (i=0; i<a->mbs; i++) {
32     if (jj[diag[i]] != i) {
33       *missing    = PETSC_TRUE;
34       if (dd) *dd = i;
35       break;
36     }
37   }
38   PetscFunctionReturn(0);
39 }
40 
41 #undef __FUNCT__
42 #define __FUNCT__ "MatMarkDiagonal_SeqSBAIJ"
43 PetscErrorCode MatMarkDiagonal_SeqSBAIJ(Mat A)
44 {
45   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
46   PetscErrorCode ierr;
47   PetscInt       i;
48 
49   PetscFunctionBegin;
50   if (!a->diag) {
51     ierr = PetscMalloc(a->mbs*sizeof(PetscInt),&a->diag);CHKERRQ(ierr);
52     ierr = PetscLogObjectMemory(A,a->mbs*sizeof(PetscInt));CHKERRQ(ierr);
53     a->free_diag = PETSC_TRUE;
54   }
55   for (i=0; i<a->mbs; i++) a->diag[i] = a->i[i];
56   PetscFunctionReturn(0);
57 }
58 
59 #undef __FUNCT__
60 #define __FUNCT__ "MatGetRowIJ_SeqSBAIJ"
61 static PetscErrorCode MatGetRowIJ_SeqSBAIJ(Mat A,PetscInt oshift,PetscBool  symmetric,PetscBool  blockcompressed,PetscInt *nn,PetscInt *ia[],PetscInt *ja[],PetscBool  *done)
62 {
63   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
64   PetscInt     i,j,n = a->mbs,nz = a->i[n],bs = A->rmap->bs;
65   PetscErrorCode ierr;
66 
67   PetscFunctionBegin;
68   *nn = n;
69   if (!ia) PetscFunctionReturn(0);
70   if (!blockcompressed) {
71     /* malloc & create the natural set of indices */
72     ierr = PetscMalloc2((n+1)*bs,PetscInt,ia,nz*bs,PetscInt,ja);CHKERRQ(ierr);
73     for (i=0; i<n+1; i++) {
74       for (j=0; j<bs; j++) {
75         *ia[i*bs+j] = a->i[i]*bs+j+oshift;
76       }
77     }
78     for (i=0; i<nz; i++) {
79       for (j=0; j<bs; j++) {
80         *ja[i*bs+j] = a->j[i]*bs+j+oshift;
81       }
82     }
83   } else { /* blockcompressed */
84     if (oshift == 1) {
85       /* temporarily add 1 to i and j indices */
86       for (i=0; i<nz; i++) a->j[i]++;
87       for (i=0; i<n+1; i++) a->i[i]++;
88     }
89     *ia = a->i; *ja = a->j;
90   }
91 
92   PetscFunctionReturn(0);
93 }
94 
95 #undef __FUNCT__
96 #define __FUNCT__ "MatRestoreRowIJ_SeqSBAIJ"
97 static PetscErrorCode MatRestoreRowIJ_SeqSBAIJ(Mat A,PetscInt oshift,PetscBool  symmetric,PetscBool  blockcompressed,PetscInt *nn,PetscInt *ia[],PetscInt *ja[],PetscBool  *done)
98 {
99   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
100   PetscInt     i,n = a->mbs,nz = a->i[n];
101   PetscErrorCode ierr;
102 
103   PetscFunctionBegin;
104   if (!ia) PetscFunctionReturn(0);
105 
106   if (!blockcompressed) {
107     ierr = PetscFree2(*ia,*ja);CHKERRQ(ierr);
108   } else if (oshift == 1) { /* blockcompressed */
109     for (i=0; i<nz; i++) a->j[i]--;
110     for (i=0; i<n+1; i++) a->i[i]--;
111   }
112 
113   PetscFunctionReturn(0);
114 }
115 
116 #undef __FUNCT__
117 #define __FUNCT__ "MatDestroy_SeqSBAIJ"
118 PetscErrorCode MatDestroy_SeqSBAIJ(Mat A)
119 {
120   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
121   PetscErrorCode ierr;
122 
123   PetscFunctionBegin;
124 #if defined(PETSC_USE_LOG)
125   PetscLogObjectState((PetscObject)A,"Rows=%D, NZ=%D",A->rmap->N,a->nz);
126 #endif
127   ierr = MatSeqXAIJFreeAIJ(A,&a->a,&a->j,&a->i);CHKERRQ(ierr);
128   if (a->free_diag){ierr = PetscFree(a->diag);CHKERRQ(ierr);}
129   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
130   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
131   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
132   ierr = PetscFree(a->idiag);CHKERRQ(ierr);
133   ierr = PetscFree(a->inode.size);CHKERRQ(ierr);
134   ierr = PetscFree(a->diag);CHKERRQ(ierr);
135   if (a->free_imax_ilen) {ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);}
136   ierr = PetscFree(a->solve_work);CHKERRQ(ierr);
137   ierr = PetscFree(a->sor_work);CHKERRQ(ierr);
138   ierr = PetscFree(a->solves_work);CHKERRQ(ierr);
139   ierr = PetscFree(a->mult_work);CHKERRQ(ierr);
140   ierr = PetscFree(a->saved_values);CHKERRQ(ierr);
141   ierr = PetscFree(a->xtoy);CHKERRQ(ierr);
142   if (a->free_jshort) {ierr = PetscFree(a->jshort);CHKERRQ(ierr);}
143   ierr = PetscFree(a->inew);CHKERRQ(ierr);
144   ierr = MatDestroy(&a->parent);CHKERRQ(ierr);
145   ierr = PetscFree(A->data);CHKERRQ(ierr);
146 
147   ierr = PetscObjectChangeTypeName((PetscObject)A,0);CHKERRQ(ierr);
148   ierr = PetscObjectComposeFunction((PetscObject)A,"MatStoreValues_C","",PETSC_NULL);CHKERRQ(ierr);
149   ierr = PetscObjectComposeFunction((PetscObject)A,"MatRetrieveValues_C","",PETSC_NULL);CHKERRQ(ierr);
150   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqSBAIJSetColumnIndices_C","",PETSC_NULL);CHKERRQ(ierr);
151   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqsbaij_seqaij_C","",PETSC_NULL);CHKERRQ(ierr);
152   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqsbaij_seqbaij_C","",PETSC_NULL);CHKERRQ(ierr);
153   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqSBAIJSetPreallocation_C","",PETSC_NULL);CHKERRQ(ierr);
154   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqsbaij_seqsbstrm_C","",PETSC_NULL);CHKERRQ(ierr);
155   PetscFunctionReturn(0);
156 }
157 
158 #undef __FUNCT__
159 #define __FUNCT__ "MatSetOption_SeqSBAIJ"
160 PetscErrorCode MatSetOption_SeqSBAIJ(Mat A,MatOption op,PetscBool  flg)
161 {
162   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
163   PetscErrorCode ierr;
164 
165   PetscFunctionBegin;
166   switch (op) {
167   case MAT_ROW_ORIENTED:
168     a->roworiented = flg;
169     break;
170   case MAT_KEEP_NONZERO_PATTERN:
171     a->keepnonzeropattern = flg;
172     break;
173   case MAT_NEW_NONZERO_LOCATIONS:
174     a->nonew = (flg ? 0 : 1);
175     break;
176   case MAT_NEW_NONZERO_LOCATION_ERR:
177     a->nonew = (flg ? -1 : 0);
178     break;
179   case MAT_NEW_NONZERO_ALLOCATION_ERR:
180     a->nonew = (flg ? -2 : 0);
181     break;
182   case MAT_UNUSED_NONZERO_LOCATION_ERR:
183     a->nounused = (flg ? -1 : 0);
184     break;
185   case MAT_NEW_DIAGONALS:
186   case MAT_IGNORE_OFF_PROC_ENTRIES:
187   case MAT_USE_HASH_TABLE:
188     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
189     break;
190   case MAT_HERMITIAN:
191     if (!A->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call MatAssemblyEnd() first");
192     if (A->cmap->n < 65536 && A->cmap->bs == 1) {
193       A->ops->mult = MatMult_SeqSBAIJ_1_Hermitian_ushort;
194     } else if (A->cmap->bs == 1) {
195       A->ops->mult = MatMult_SeqSBAIJ_1_Hermitian;
196     } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for Hermitian with block size greater than 1");
197     break;
198   case MAT_SPD:
199     A->spd_set                         = PETSC_TRUE;
200     A->spd                             = flg;
201     if (flg) {
202       A->symmetric                     = PETSC_TRUE;
203       A->structurally_symmetric        = PETSC_TRUE;
204       A->symmetric_set                 = PETSC_TRUE;
205       A->structurally_symmetric_set    = PETSC_TRUE;
206     }
207     break;
208   case MAT_SYMMETRIC:
209   case MAT_STRUCTURALLY_SYMMETRIC:
210   case MAT_SYMMETRY_ETERNAL:
211     if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Matrix must be symmetric");
212     ierr = PetscInfo1(A,"Option %s not relevent\n",MatOptions[op]);CHKERRQ(ierr);
213     break;
214   case MAT_IGNORE_LOWER_TRIANGULAR:
215     a->ignore_ltriangular = flg;
216     break;
217   case MAT_ERROR_LOWER_TRIANGULAR:
218     a->ignore_ltriangular = flg;
219     break;
220   case MAT_GETROW_UPPERTRIANGULAR:
221     a->getrow_utriangular = flg;
222     break;
223   default:
224     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
225   }
226   PetscFunctionReturn(0);
227 }
228 
229 #undef __FUNCT__
230 #define __FUNCT__ "MatGetRow_SeqSBAIJ"
231 PetscErrorCode MatGetRow_SeqSBAIJ(Mat A,PetscInt row,PetscInt *ncols,PetscInt **cols,PetscScalar **v)
232 {
233   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
234   PetscErrorCode ierr;
235   PetscInt       itmp,i,j,k,M,*ai,*aj,bs,bn,bp,*cols_i,bs2;
236   MatScalar      *aa,*aa_i;
237   PetscScalar    *v_i;
238 
239   PetscFunctionBegin;
240   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()");
241   /* Get the upper triangular part of the row */
242   bs  = A->rmap->bs;
243   ai  = a->i;
244   aj  = a->j;
245   aa  = a->a;
246   bs2 = a->bs2;
247 
248   if (row < 0 || row >= A->rmap->N) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Row %D out of range", row);
249 
250   bn  = row/bs;   /* Block number */
251   bp  = row % bs; /* Block position */
252   M   = ai[bn+1] - ai[bn];
253   *ncols = bs*M;
254 
255   if (v) {
256     *v = 0;
257     if (*ncols) {
258       ierr = PetscMalloc((*ncols+row)*sizeof(PetscScalar),v);CHKERRQ(ierr);
259       for (i=0; i<M; i++) { /* for each block in the block row */
260         v_i  = *v + i*bs;
261         aa_i = aa + bs2*(ai[bn] + i);
262         for (j=bp,k=0; j<bs2; j+=bs,k++) {v_i[k] = aa_i[j];}
263       }
264     }
265   }
266 
267   if (cols) {
268     *cols = 0;
269     if (*ncols) {
270       ierr = PetscMalloc((*ncols+row)*sizeof(PetscInt),cols);CHKERRQ(ierr);
271       for (i=0; i<M; i++) { /* for each block in the block row */
272         cols_i = *cols + i*bs;
273         itmp  = bs*aj[ai[bn] + i];
274         for (j=0; j<bs; j++) {cols_i[j] = itmp++;}
275       }
276     }
277   }
278 
279   /*search column A(0:row-1,row) (=A(row,0:row-1)). Could be expensive! */
280   /* this segment is currently removed, so only entries in the upper triangle are obtained */
281 #ifdef column_search
282   v_i    = *v    + M*bs;
283   cols_i = *cols + M*bs;
284   for (i=0; i<bn; i++){ /* for each block row */
285     M = ai[i+1] - ai[i];
286     for (j=0; j<M; j++){
287       itmp = aj[ai[i] + j];    /* block column value */
288       if (itmp == bn){
289         aa_i   = aa    + bs2*(ai[i] + j) + bs*bp;
290         for (k=0; k<bs; k++) {
291           *cols_i++ = i*bs+k;
292           *v_i++    = aa_i[k];
293         }
294         *ncols += bs;
295         break;
296       }
297     }
298   }
299 #endif
300   PetscFunctionReturn(0);
301 }
302 
303 #undef __FUNCT__
304 #define __FUNCT__ "MatRestoreRow_SeqSBAIJ"
305 PetscErrorCode MatRestoreRow_SeqSBAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
306 {
307   PetscErrorCode ierr;
308 
309   PetscFunctionBegin;
310   if (idx) {ierr = PetscFree(*idx);CHKERRQ(ierr);}
311   if (v)   {ierr = PetscFree(*v);CHKERRQ(ierr);}
312   PetscFunctionReturn(0);
313 }
314 
315 #undef __FUNCT__
316 #define __FUNCT__ "MatGetRowUpperTriangular_SeqSBAIJ"
317 PetscErrorCode MatGetRowUpperTriangular_SeqSBAIJ(Mat A)
318 {
319   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
320 
321   PetscFunctionBegin;
322   a->getrow_utriangular = PETSC_TRUE;
323   PetscFunctionReturn(0);
324 }
325 #undef __FUNCT__
326 #define __FUNCT__ "MatRestoreRowUpperTriangular_SeqSBAIJ"
327 PetscErrorCode MatRestoreRowUpperTriangular_SeqSBAIJ(Mat A)
328 {
329   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
330 
331   PetscFunctionBegin;
332   a->getrow_utriangular = PETSC_FALSE;
333   PetscFunctionReturn(0);
334 }
335 
336 #undef __FUNCT__
337 #define __FUNCT__ "MatTranspose_SeqSBAIJ"
338 PetscErrorCode MatTranspose_SeqSBAIJ(Mat A,MatReuse reuse,Mat *B)
339 {
340   PetscErrorCode ierr;
341   PetscFunctionBegin;
342   if (reuse == MAT_INITIAL_MATRIX || *B != A) {
343     ierr = MatDuplicate(A,MAT_COPY_VALUES,B);CHKERRQ(ierr);
344   }
345   PetscFunctionReturn(0);
346 }
347 
348 #undef __FUNCT__
349 #define __FUNCT__ "MatView_SeqSBAIJ_ASCII"
350 static PetscErrorCode MatView_SeqSBAIJ_ASCII(Mat A,PetscViewer viewer)
351 {
352   Mat_SeqSBAIJ      *a = (Mat_SeqSBAIJ*)A->data;
353   PetscErrorCode    ierr;
354   PetscInt          i,j,bs = A->rmap->bs,k,l,bs2=a->bs2;
355   PetscViewerFormat format;
356   PetscInt          *diag;
357 
358   PetscFunctionBegin;
359   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
360   if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
361     ierr = PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);CHKERRQ(ierr);
362   } else if (format == PETSC_VIEWER_ASCII_MATLAB) {
363     Mat aij;
364     if (A->factortype && bs>1){
365       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);
366       PetscFunctionReturn(0);
367     }
368     ierr = MatConvert(A,MATSEQAIJ,MAT_INITIAL_MATRIX,&aij);CHKERRQ(ierr);
369     ierr = MatView(aij,viewer);CHKERRQ(ierr);
370     ierr = MatDestroy(&aij);CHKERRQ(ierr);
371   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
372     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
373     for (i=0; i<a->mbs; i++) {
374       for (j=0; j<bs; j++) {
375         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i*bs+j);CHKERRQ(ierr);
376         for (k=a->i[i]; k<a->i[i+1]; k++) {
377           for (l=0; l<bs; l++) {
378 #if defined(PETSC_USE_COMPLEX)
379             if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) > 0.0 && PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
380               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %G i) ",bs*a->j[k]+l,
381                                             PetscRealPart(a->a[bs2*k + l*bs + j]),PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
382             } else if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) < 0.0 && PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
383               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %G i) ",bs*a->j[k]+l,
384                                             PetscRealPart(a->a[bs2*k + l*bs + j]),-PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
385             } else if (PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
386               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,PetscRealPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
387             }
388 #else
389             if (a->a[bs2*k + l*bs + j] != 0.0) {
390               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,a->a[bs2*k + l*bs + j]);CHKERRQ(ierr);
391             }
392 #endif
393           }
394         }
395         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
396       }
397     }
398     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
399   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
400      PetscFunctionReturn(0);
401   } else {
402     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
403     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)A,viewer,"Matrix Object");CHKERRQ(ierr);
404     if (A->factortype){ /* for factored matrix */
405       if (bs>1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"matrix is factored with bs>1. Not implemented yet");
406 
407       diag=a->diag;
408       for (i=0; i<a->mbs; i++) { /* for row block i */
409         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
410         /* diagonal entry */
411 #if defined(PETSC_USE_COMPLEX)
412         if (PetscImaginaryPart(a->a[diag[i]]) > 0.0) {
413           ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %G i) ",a->j[diag[i]],PetscRealPart(1.0/a->a[diag[i]]),PetscImaginaryPart(1.0/a->a[diag[i]]));CHKERRQ(ierr);
414         } else if (PetscImaginaryPart(a->a[diag[i]]) < 0.0) {
415           ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %G i) ",a->j[diag[i]],PetscRealPart(1.0/a->a[diag[i]]),-PetscImaginaryPart(1.0/a->a[diag[i]]));CHKERRQ(ierr);
416         } else {
417           ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",a->j[diag[i]],PetscRealPart(1.0/a->a[diag[i]]));CHKERRQ(ierr);
418         }
419 #else
420         ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",a->j[diag[i]],1.0/a->a[diag[i]]);CHKERRQ(ierr);
421 #endif
422         /* off-diagonal entries */
423         for (k=a->i[i]; k<a->i[i+1]-1; k++) {
424 #if defined(PETSC_USE_COMPLEX)
425           if (PetscImaginaryPart(a->a[k]) > 0.0) {
426             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %G i) ",bs*a->j[k],PetscRealPart(a->a[k]),PetscImaginaryPart(a->a[k]));CHKERRQ(ierr);
427           } else if (PetscImaginaryPart(a->a[k]) < 0.0) {
428             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %G i) ",bs*a->j[k],PetscRealPart(a->a[k]),-PetscImaginaryPart(a->a[k]));CHKERRQ(ierr);
429           } else {
430             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k],PetscRealPart(a->a[k]));CHKERRQ(ierr);
431           }
432 #else
433           ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",a->j[k],a->a[k]);CHKERRQ(ierr);
434 #endif
435         }
436         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
437       }
438 
439     } else { /* for non-factored matrix */
440       for (i=0; i<a->mbs; i++) { /* for row block i */
441         for (j=0; j<bs; j++) {   /* for row bs*i + j */
442           ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i*bs+j);CHKERRQ(ierr);
443           for (k=a->i[i]; k<a->i[i+1]; k++) { /* for column block */
444             for (l=0; l<bs; l++) {            /* for column */
445 #if defined(PETSC_USE_COMPLEX)
446               if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) > 0.0) {
447               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %G i) ",bs*a->j[k]+l,
448                                             PetscRealPart(a->a[bs2*k + l*bs + j]),PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
449               } else if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) < 0.0) {
450                 ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %G i) ",bs*a->j[k]+l,
451                                             PetscRealPart(a->a[bs2*k + l*bs + j]),-PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
452               } else {
453                 ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,PetscRealPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
454               }
455 #else
456               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,a->a[bs2*k + l*bs + j]);CHKERRQ(ierr);
457 #endif
458             }
459           }
460           ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
461         }
462       }
463     }
464     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
465   }
466   ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
467   PetscFunctionReturn(0);
468 }
469 
470 #undef __FUNCT__
471 #define __FUNCT__ "MatView_SeqSBAIJ_Draw_Zoom"
472 static PetscErrorCode MatView_SeqSBAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
473 {
474   Mat            A = (Mat) Aa;
475   Mat_SeqSBAIJ   *a=(Mat_SeqSBAIJ*)A->data;
476   PetscErrorCode ierr;
477   PetscInt       row,i,j,k,l,mbs=a->mbs,color,bs=A->rmap->bs,bs2=a->bs2;
478   PetscMPIInt    rank;
479   PetscReal      xl,yl,xr,yr,x_l,x_r,y_l,y_r;
480   MatScalar      *aa;
481   MPI_Comm       comm;
482   PetscViewer    viewer;
483 
484   PetscFunctionBegin;
485   /*
486     This is nasty. If this is called from an originally parallel matrix
487     then all processes call this,but only the first has the matrix so the
488     rest should return immediately.
489   */
490   ierr = PetscObjectGetComm((PetscObject)draw,&comm);CHKERRQ(ierr);
491   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
492   if (rank) PetscFunctionReturn(0);
493 
494   ierr = PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer);CHKERRQ(ierr);
495 
496   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
497   PetscDrawString(draw, .3*(xl+xr), .3*(yl+yr), PETSC_DRAW_BLACK, "symmetric");
498 
499   /* loop over matrix elements drawing boxes */
500   color = PETSC_DRAW_BLUE;
501   for (i=0,row=0; i<mbs; i++,row+=bs) {
502     for (j=a->i[i]; j<a->i[i+1]; j++) {
503       y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
504       x_l = a->j[j]*bs; x_r = x_l + 1.0;
505       aa = a->a + j*bs2;
506       for (k=0; k<bs; k++) {
507         for (l=0; l<bs; l++) {
508           if (PetscRealPart(*aa++) >=  0.) continue;
509           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
510         }
511       }
512     }
513   }
514   color = PETSC_DRAW_CYAN;
515   for (i=0,row=0; i<mbs; i++,row+=bs) {
516     for (j=a->i[i]; j<a->i[i+1]; j++) {
517       y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
518       x_l = a->j[j]*bs; x_r = x_l + 1.0;
519       aa = a->a + j*bs2;
520       for (k=0; k<bs; k++) {
521         for (l=0; l<bs; l++) {
522           if (PetscRealPart(*aa++) != 0.) continue;
523           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
524         }
525       }
526     }
527   }
528 
529   color = PETSC_DRAW_RED;
530   for (i=0,row=0; i<mbs; i++,row+=bs) {
531     for (j=a->i[i]; j<a->i[i+1]; j++) {
532       y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
533       x_l = a->j[j]*bs; x_r = x_l + 1.0;
534       aa = a->a + j*bs2;
535       for (k=0; k<bs; k++) {
536         for (l=0; l<bs; l++) {
537           if (PetscRealPart(*aa++) <= 0.) continue;
538           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
539         }
540       }
541     }
542   }
543   PetscFunctionReturn(0);
544 }
545 
546 #undef __FUNCT__
547 #define __FUNCT__ "MatView_SeqSBAIJ_Draw"
548 static PetscErrorCode MatView_SeqSBAIJ_Draw(Mat A,PetscViewer viewer)
549 {
550   PetscErrorCode ierr;
551   PetscReal      xl,yl,xr,yr,w,h;
552   PetscDraw      draw;
553   PetscBool      isnull;
554 
555   PetscFunctionBegin;
556   ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
557   ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
558 
559   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer);CHKERRQ(ierr);
560   xr  = A->rmap->N; yr = A->rmap->N; h = yr/10.0; w = xr/10.0;
561   xr += w;    yr += h;  xl = -w;     yl = -h;
562   ierr = PetscDrawSetCoordinates(draw,xl,yl,xr,yr);CHKERRQ(ierr);
563   ierr = PetscDrawZoom(draw,MatView_SeqSBAIJ_Draw_Zoom,A);CHKERRQ(ierr);
564   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",PETSC_NULL);CHKERRQ(ierr);
565   PetscFunctionReturn(0);
566 }
567 
568 #undef __FUNCT__
569 #define __FUNCT__ "MatView_SeqSBAIJ"
570 PetscErrorCode MatView_SeqSBAIJ(Mat A,PetscViewer viewer)
571 {
572   PetscErrorCode ierr;
573   PetscBool      iascii,isdraw;
574   FILE           *file = 0;
575 
576   PetscFunctionBegin;
577   ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
578   ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
579   if (iascii){
580     ierr = MatView_SeqSBAIJ_ASCII(A,viewer);CHKERRQ(ierr);
581   } else if (isdraw) {
582     ierr = MatView_SeqSBAIJ_Draw(A,viewer);CHKERRQ(ierr);
583   } else {
584     Mat B;
585     ierr = MatConvert(A,MATSEQAIJ,MAT_INITIAL_MATRIX,&B);CHKERRQ(ierr);
586     ierr = MatView(B,viewer);CHKERRQ(ierr);
587     ierr = MatDestroy(&B);CHKERRQ(ierr);
588     ierr = PetscViewerBinaryGetInfoPointer(viewer,&file);CHKERRQ(ierr);
589     if (file) {
590       fprintf(file,"-matload_block_size %d\n",(int)A->rmap->bs);
591     }
592   }
593   PetscFunctionReturn(0);
594 }
595 
596 
597 #undef __FUNCT__
598 #define __FUNCT__ "MatGetValues_SeqSBAIJ"
599 PetscErrorCode MatGetValues_SeqSBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],PetscScalar v[])
600 {
601   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
602   PetscInt     *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
603   PetscInt     *ai = a->i,*ailen = a->ilen;
604   PetscInt     brow,bcol,ridx,cidx,bs=A->rmap->bs,bs2=a->bs2;
605   MatScalar    *ap,*aa = a->a;
606 
607   PetscFunctionBegin;
608   for (k=0; k<m; k++) { /* loop over rows */
609     row  = im[k]; brow = row/bs;
610     if (row < 0) {v += n; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",row); */
611     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);
612     rp   = aj + ai[brow] ; ap = aa + bs2*ai[brow] ;
613     nrow = ailen[brow];
614     for (l=0; l<n; l++) { /* loop over columns */
615       if (in[l] < 0) {v++; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column: %D",in[l]); */
616       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);
617       col  = in[l] ;
618       bcol = col/bs;
619       cidx = col%bs;
620       ridx = row%bs;
621       high = nrow;
622       low  = 0; /* assume unsorted */
623       while (high-low > 5) {
624         t = (low+high)/2;
625         if (rp[t] > bcol) high = t;
626         else             low  = t;
627       }
628       for (i=low; i<high; i++) {
629         if (rp[i] > bcol) break;
630         if (rp[i] == bcol) {
631           *v++ = ap[bs2*i+bs*cidx+ridx];
632           goto finished;
633         }
634       }
635       *v++ = 0.0;
636       finished:;
637     }
638   }
639   PetscFunctionReturn(0);
640 }
641 
642 
643 #undef __FUNCT__
644 #define __FUNCT__ "MatSetValuesBlocked_SeqSBAIJ"
645 PetscErrorCode MatSetValuesBlocked_SeqSBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
646 {
647   Mat_SeqSBAIJ      *a = (Mat_SeqSBAIJ*)A->data;
648   PetscErrorCode    ierr;
649   PetscInt          *rp,k,low,high,t,ii,jj,row,nrow,i,col,l,rmax,N,lastcol = -1;
650   PetscInt          *imax=a->imax,*ai=a->i,*ailen=a->ilen;
651   PetscInt          *aj=a->j,nonew=a->nonew,bs2=a->bs2,bs=A->rmap->bs,stepval;
652   PetscBool         roworiented=a->roworiented;
653   const PetscScalar *value = v;
654   MatScalar         *ap,*aa = a->a,*bap;
655 
656   PetscFunctionBegin;
657   if (roworiented) {
658     stepval = (n-1)*bs;
659   } else {
660     stepval = (m-1)*bs;
661   }
662   for (k=0; k<m; k++) { /* loop over added rows */
663     row  = im[k];
664     if (row < 0) continue;
665 #if defined(PETSC_USE_DEBUG)
666     if (row >= a->mbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,a->mbs-1);
667 #endif
668     rp   = aj + ai[row];
669     ap   = aa + bs2*ai[row];
670     rmax = imax[row];
671     nrow = ailen[row];
672     low  = 0;
673     high = nrow;
674     for (l=0; l<n; l++) { /* loop over added columns */
675       if (in[l] < 0) continue;
676       col = in[l];
677 #if defined(PETSC_USE_DEBUG)
678       if (col >= a->nbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",col,a->nbs-1);
679 #endif
680       if (col < row) {
681         if (a->ignore_ltriangular) {
682           continue; /* ignore lower triangular block */
683         } else {
684           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)");
685         }
686       }
687       if (roworiented) {
688         value = v + k*(stepval+bs)*bs + l*bs;
689       } else {
690         value = v + l*(stepval+bs)*bs + k*bs;
691       }
692       if (col <= lastcol) low = 0; else high = nrow;
693       lastcol = col;
694       while (high-low > 7) {
695         t = (low+high)/2;
696         if (rp[t] > col) high = t;
697         else             low  = t;
698       }
699       for (i=low; i<high; i++) {
700         if (rp[i] > col) break;
701         if (rp[i] == col) {
702           bap  = ap +  bs2*i;
703           if (roworiented) {
704             if (is == ADD_VALUES) {
705               for (ii=0; ii<bs; ii++,value+=stepval) {
706                 for (jj=ii; jj<bs2; jj+=bs) {
707                   bap[jj] += *value++;
708                 }
709               }
710             } else {
711               for (ii=0; ii<bs; ii++,value+=stepval) {
712                 for (jj=ii; jj<bs2; jj+=bs) {
713                   bap[jj] = *value++;
714                 }
715                }
716             }
717           } else {
718             if (is == ADD_VALUES) {
719               for (ii=0; ii<bs; ii++,value+=stepval) {
720                 for (jj=0; jj<bs; jj++) {
721                   *bap++ += *value++;
722                 }
723               }
724             } else {
725               for (ii=0; ii<bs; ii++,value+=stepval) {
726                 for (jj=0; jj<bs; jj++) {
727                   *bap++  = *value++;
728                 }
729               }
730             }
731           }
732           goto noinsert2;
733         }
734       }
735       if (nonew == 1) goto noinsert2;
736       if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) in the matrix", row, col);
737       MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
738       N = nrow++ - 1; high++;
739       /* shift up all the later entries in this row */
740       for (ii=N; ii>=i; ii--) {
741         rp[ii+1] = rp[ii];
742         ierr = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
743       }
744       if (N >= i) {
745         ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
746       }
747       rp[i] = col;
748       bap   = ap +  bs2*i;
749       if (roworiented) {
750         for (ii=0; ii<bs; ii++,value+=stepval) {
751           for (jj=ii; jj<bs2; jj+=bs) {
752             bap[jj] = *value++;
753           }
754         }
755       } else {
756         for (ii=0; ii<bs; ii++,value+=stepval) {
757           for (jj=0; jj<bs; jj++) {
758             *bap++  = *value++;
759           }
760         }
761        }
762     noinsert2:;
763       low = i;
764     }
765     ailen[row] = nrow;
766   }
767    PetscFunctionReturn(0);
768 }
769 
770 /*
771     This is not yet used
772 */
773 #undef __FUNCT__
774 #define __FUNCT__ "MatAssemblyEnd_SeqSBAIJ_SeqAIJ_Inode"
775 PetscErrorCode MatAssemblyEnd_SeqSBAIJ_SeqAIJ_Inode(Mat A)
776 {
777   Mat_SeqSBAIJ    *a = (Mat_SeqSBAIJ*)A->data;
778   PetscErrorCode  ierr;
779   const PetscInt  *ai = a->i, *aj = a->j,*cols;
780   PetscInt        i = 0,j,blk_size,m = A->rmap->n,node_count = 0,nzx,nzy,*ns,row,nz,cnt,cnt2,*counts;
781   PetscBool       flag;
782 
783   PetscFunctionBegin;
784   ierr = PetscMalloc(m*sizeof(PetscInt),&ns);CHKERRQ(ierr);
785   while (i < m){
786     nzx = ai[i+1] - ai[i];       /* Number of nonzeros */
787     /* Limits the number of elements in a node to 'a->inode.limit' */
788     for (j=i+1,blk_size=1; j<m && blk_size <a->inode.limit; ++j,++blk_size) {
789       nzy  = ai[j+1] - ai[j];
790       if (nzy != (nzx - j + i)) break;
791       ierr = PetscMemcmp(aj + ai[i] + j - i,aj + ai[j],nzy*sizeof(PetscInt),&flag);CHKERRQ(ierr);
792       if (!flag) break;
793     }
794     ns[node_count++] = blk_size;
795     i = j;
796   }
797   if (!a->inode.size && m && node_count > .9*m) {
798     ierr = PetscFree(ns);CHKERRQ(ierr);
799     ierr = PetscInfo2(A,"Found %D nodes out of %D rows. Not using Inode routines\n",node_count,m);CHKERRQ(ierr);
800   } else {
801     a->inode.node_count = node_count;
802     ierr = PetscMalloc(node_count*sizeof(PetscInt),&a->inode.size);CHKERRQ(ierr);
803     ierr = PetscLogObjectMemory(A,node_count*sizeof(PetscInt));CHKERRQ(ierr);
804     ierr = PetscMemcpy(a->inode.size,ns,node_count*sizeof(PetscInt));
805     ierr = PetscFree(ns);CHKERRQ(ierr);
806     ierr = PetscInfo3(A,"Found %D nodes of %D. Limit used: %D. Using Inode routines\n",node_count,m,a->inode.limit);CHKERRQ(ierr);
807 
808     /* count collections of adjacent columns in each inode */
809     row = 0;
810     cnt = 0;
811     for (i=0; i<node_count; i++) {
812       cols = aj + ai[row] + a->inode.size[i];
813       nz   = ai[row+1] - ai[row] - a->inode.size[i];
814       for (j=1; j<nz; j++) {
815         if (cols[j] != cols[j-1]+1) {
816           cnt++;
817         }
818       }
819       cnt++;
820       row += a->inode.size[i];
821     }
822     ierr = PetscMalloc(2*cnt*sizeof(PetscInt),&counts);CHKERRQ(ierr);
823     cnt = 0;
824     row = 0;
825     for (i=0; i<node_count; i++) {
826       cols          = aj + ai[row] + a->inode.size[i];
827 	  CHKMEMQ;
828       counts[2*cnt] = cols[0];
829 	  CHKMEMQ;
830       nz            = ai[row+1] - ai[row] - a->inode.size[i];
831       cnt2          = 1;
832       for (j=1; j<nz; j++) {
833         if (cols[j] != cols[j-1]+1) {
834 	  CHKMEMQ;
835           counts[2*(cnt++)+1] = cnt2;
836           counts[2*cnt]       = cols[j];
837 	  CHKMEMQ;
838           cnt2                = 1;
839         } else cnt2++;
840       }
841 	  CHKMEMQ;
842       counts[2*(cnt++)+1] = cnt2;
843 	  CHKMEMQ;
844       row += a->inode.size[i];
845     }
846     ierr = PetscIntView(2*cnt,counts,0);
847   }
848   PetscFunctionReturn(0);
849 }
850 
851 #undef __FUNCT__
852 #define __FUNCT__ "MatAssemblyEnd_SeqSBAIJ"
853 PetscErrorCode MatAssemblyEnd_SeqSBAIJ(Mat A,MatAssemblyType mode)
854 {
855   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
856   PetscErrorCode ierr;
857   PetscInt       fshift = 0,i,j,*ai = a->i,*aj = a->j,*imax = a->imax;
858   PetscInt       m = A->rmap->N,*ip,N,*ailen = a->ilen;
859   PetscInt       mbs = a->mbs,bs2 = a->bs2,rmax = 0;
860   MatScalar      *aa = a->a,*ap;
861 
862   PetscFunctionBegin;
863   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
864 
865   if (m) rmax = ailen[0];
866   for (i=1; i<mbs; i++) {
867     /* move each row back by the amount of empty slots (fshift) before it*/
868     fshift += imax[i-1] - ailen[i-1];
869      rmax   = PetscMax(rmax,ailen[i]);
870      if (fshift) {
871        ip = aj + ai[i]; ap = aa + bs2*ai[i];
872        N = ailen[i];
873        for (j=0; j<N; j++) {
874          ip[j-fshift] = ip[j];
875          ierr = PetscMemcpy(ap+(j-fshift)*bs2,ap+j*bs2,bs2*sizeof(MatScalar));CHKERRQ(ierr);
876        }
877      }
878      ai[i] = ai[i-1] + ailen[i-1];
879   }
880   if (mbs) {
881     fshift += imax[mbs-1] - ailen[mbs-1];
882      ai[mbs] = ai[mbs-1] + ailen[mbs-1];
883   }
884   /* reset ilen and imax for each row */
885   for (i=0; i<mbs; i++) {
886     ailen[i] = imax[i] = ai[i+1] - ai[i];
887   }
888   a->nz = ai[mbs];
889 
890   /* diagonals may have moved, reset it */
891   if (a->diag) {
892     ierr = PetscMemcpy(a->diag,ai,mbs*sizeof(PetscInt));CHKERRQ(ierr);
893   }
894   if (fshift && a->nounused == -1) {
895     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);
896   }
897   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);
898   ierr = PetscInfo1(A,"Number of mallocs during MatSetValues is %D\n",a->reallocs);CHKERRQ(ierr);
899   ierr = PetscInfo1(A,"Most nonzeros blocks in any row is %D\n",rmax);CHKERRQ(ierr);
900   A->info.mallocs     += a->reallocs;
901   a->reallocs          = 0;
902   A->info.nz_unneeded  = (PetscReal)fshift*bs2;
903   a->idiagvalid = PETSC_FALSE;
904 
905   if (A->cmap->n < 65536 && A->cmap->bs == 1) {
906     if (a->jshort){
907       /* when matrix data structure is changed, previous jshort must be replaced */
908       ierr = PetscFree(a->jshort);CHKERRQ(ierr);
909     }
910     ierr = PetscMalloc(a->i[A->rmap->n]*sizeof(unsigned short),&a->jshort);CHKERRQ(ierr);
911     ierr = PetscLogObjectMemory(A,a->i[A->rmap->n]*sizeof(unsigned short));CHKERRQ(ierr);
912     for (i=0; i<a->i[A->rmap->n]; i++) a->jshort[i] = a->j[i];
913     A->ops->mult  = MatMult_SeqSBAIJ_1_ushort;
914     A->ops->sor = MatSOR_SeqSBAIJ_ushort;
915     a->free_jshort = PETSC_TRUE;
916   }
917   PetscFunctionReturn(0);
918 }
919 
920 /*
921    This function returns an array of flags which indicate the locations of contiguous
922    blocks that should be zeroed. for eg: if bs = 3  and is = [0,1,2,3,5,6,7,8,9]
923    then the resulting sizes = [3,1,1,3,1] correspondig to sets [(0,1,2),(3),(5),(6,7,8),(9)]
924    Assume: sizes should be long enough to hold all the values.
925 */
926 #undef __FUNCT__
927 #define __FUNCT__ "MatZeroRows_SeqSBAIJ_Check_Blocks"
928 PetscErrorCode MatZeroRows_SeqSBAIJ_Check_Blocks(PetscInt idx[],PetscInt n,PetscInt bs,PetscInt sizes[], PetscInt *bs_max)
929 {
930   PetscInt   i,j,k,row;
931   PetscBool  flg;
932 
933   PetscFunctionBegin;
934    for (i=0,j=0; i<n; j++) {
935      row = idx[i];
936      if (row%bs!=0) { /* Not the begining of a block */
937        sizes[j] = 1;
938        i++;
939      } else if (i+bs > n) { /* Beginning of a block, but complete block doesn't exist (at idx end) */
940        sizes[j] = 1;         /* Also makes sure atleast 'bs' values exist for next else */
941        i++;
942      } else { /* Begining of the block, so check if the complete block exists */
943        flg = PETSC_TRUE;
944        for (k=1; k<bs; k++) {
945          if (row+k != idx[i+k]) { /* break in the block */
946            flg = PETSC_FALSE;
947            break;
948          }
949        }
950        if (flg) { /* No break in the bs */
951          sizes[j] = bs;
952          i+= bs;
953        } else {
954          sizes[j] = 1;
955          i++;
956        }
957      }
958    }
959    *bs_max = j;
960    PetscFunctionReturn(0);
961 }
962 
963 
964 /* Only add/insert a(i,j) with i<=j (blocks).
965    Any a(i,j) with i>j input by user is ingored.
966 */
967 
968 #undef __FUNCT__
969 #define __FUNCT__ "MatSetValues_SeqSBAIJ"
970 PetscErrorCode MatSetValues_SeqSBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
971 {
972   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
973   PetscErrorCode ierr;
974   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N,lastcol = -1;
975   PetscInt       *imax=a->imax,*ai=a->i,*ailen=a->ilen,roworiented=a->roworiented;
976   PetscInt       *aj=a->j,nonew=a->nonew,bs=A->rmap->bs,brow,bcol;
977   PetscInt       ridx,cidx,bs2=a->bs2;
978   MatScalar      *ap,value,*aa=a->a,*bap;
979 
980   PetscFunctionBegin;
981   if (v) PetscValidScalarPointer(v,6);
982   for (k=0; k<m; k++) { /* loop over added rows */
983     row  = im[k];       /* row number */
984     brow = row/bs;      /* block row number */
985     if (row < 0) continue;
986 #if defined(PETSC_USE_DEBUG)
987     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);
988 #endif
989     rp   = aj + ai[brow]; /*ptr to beginning of column value of the row block*/
990     ap   = aa + bs2*ai[brow]; /*ptr to beginning of element value of the row block*/
991     rmax = imax[brow];  /* maximum space allocated for this row */
992     nrow = ailen[brow]; /* actual length of this row */
993     low  = 0;
994 
995     for (l=0; l<n; l++) { /* loop over added columns */
996       if (in[l] < 0) continue;
997 #if defined(PETSC_USE_DEBUG)
998       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);
999 #endif
1000       col = in[l];
1001       bcol = col/bs;              /* block col number */
1002 
1003       if (brow > bcol) {
1004         if (a->ignore_ltriangular){
1005           continue; /* ignore lower triangular values */
1006         } else {
1007           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)");
1008         }
1009       }
1010 
1011       ridx = row % bs; cidx = col % bs; /*row and col index inside the block */
1012       if ((brow==bcol && ridx<=cidx) || (brow<bcol)){
1013         /* element value a(k,l) */
1014         if (roworiented) {
1015           value = v[l + k*n];
1016         } else {
1017           value = v[k + l*m];
1018         }
1019 
1020         /* move pointer bap to a(k,l) quickly and add/insert value */
1021         if (col <= lastcol) low = 0; high = nrow;
1022         lastcol = col;
1023         while (high-low > 7) {
1024           t = (low+high)/2;
1025           if (rp[t] > bcol) high = t;
1026           else              low  = t;
1027         }
1028         for (i=low; i<high; i++) {
1029           if (rp[i] > bcol) break;
1030           if (rp[i] == bcol) {
1031             bap  = ap +  bs2*i + bs*cidx + ridx;
1032             if (is == ADD_VALUES) *bap += value;
1033             else                  *bap  = value;
1034             /* for diag block, add/insert its symmetric element a(cidx,ridx) */
1035             if (brow == bcol && ridx < cidx){
1036               bap  = ap +  bs2*i + bs*ridx + cidx;
1037               if (is == ADD_VALUES) *bap += value;
1038               else                  *bap  = value;
1039             }
1040             goto noinsert1;
1041           }
1042         }
1043 
1044         if (nonew == 1) goto noinsert1;
1045         if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) in the matrix", row, col);
1046         MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
1047 
1048         N = nrow++ - 1; high++;
1049         /* shift up all the later entries in this row */
1050         for (ii=N; ii>=i; ii--) {
1051           rp[ii+1] = rp[ii];
1052           ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
1053         }
1054         if (N>=i) {
1055           ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
1056         }
1057         rp[i]                      = bcol;
1058         ap[bs2*i + bs*cidx + ridx] = value;
1059       noinsert1:;
1060         low = i;
1061       }
1062     }   /* end of loop over added columns */
1063     ailen[brow] = nrow;
1064   }   /* end of loop over added rows */
1065   PetscFunctionReturn(0);
1066 }
1067 
1068 #undef __FUNCT__
1069 #define __FUNCT__ "MatICCFactor_SeqSBAIJ"
1070 PetscErrorCode MatICCFactor_SeqSBAIJ(Mat inA,IS row,const MatFactorInfo *info)
1071 {
1072   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)inA->data;
1073   Mat            outA;
1074   PetscErrorCode ierr;
1075   PetscBool      row_identity;
1076 
1077   PetscFunctionBegin;
1078   if (info->levels != 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only levels=0 is supported for in-place icc");
1079   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
1080   if (!row_identity) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Matrix reordering is not supported");
1081   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()! */
1082 
1083   outA            = inA;
1084   inA->factortype = MAT_FACTOR_ICC;
1085 
1086   ierr = MatMarkDiagonal_SeqSBAIJ(inA);CHKERRQ(ierr);
1087   ierr = MatSeqSBAIJSetNumericFactorization_inplace(inA,row_identity);CHKERRQ(ierr);
1088 
1089   ierr   = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
1090   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
1091   a->row = row;
1092   ierr   = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
1093   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
1094   a->col = row;
1095 
1096   /* Create the invert permutation so that it can be used in MatCholeskyFactorNumeric() */
1097   if (a->icol) {ierr = ISInvertPermutation(row,PETSC_DECIDE, &a->icol);CHKERRQ(ierr);}
1098   ierr = PetscLogObjectParent(inA,a->icol);CHKERRQ(ierr);
1099 
1100   if (!a->solve_work) {
1101     ierr = PetscMalloc((inA->rmap->N+inA->rmap->bs)*sizeof(PetscScalar),&a->solve_work);CHKERRQ(ierr);
1102     ierr = PetscLogObjectMemory(inA,(inA->rmap->N+inA->rmap->bs)*sizeof(PetscScalar));CHKERRQ(ierr);
1103   }
1104 
1105   ierr = MatCholeskyFactorNumeric(outA,inA,info);CHKERRQ(ierr);
1106   PetscFunctionReturn(0);
1107 }
1108 
1109 EXTERN_C_BEGIN
1110 #undef __FUNCT__
1111 #define __FUNCT__ "MatSeqSBAIJSetColumnIndices_SeqSBAIJ"
1112 PetscErrorCode  MatSeqSBAIJSetColumnIndices_SeqSBAIJ(Mat mat,PetscInt *indices)
1113 {
1114   Mat_SeqSBAIJ *baij = (Mat_SeqSBAIJ *)mat->data;
1115   PetscInt     i,nz,n;
1116 
1117   PetscFunctionBegin;
1118   nz = baij->maxnz;
1119   n  = mat->cmap->n;
1120   for (i=0; i<nz; i++) {
1121     baij->j[i] = indices[i];
1122   }
1123    baij->nz = nz;
1124    for (i=0; i<n; i++) {
1125      baij->ilen[i] = baij->imax[i];
1126    }
1127    PetscFunctionReturn(0);
1128 }
1129 EXTERN_C_END
1130 
1131 #undef __FUNCT__
1132 #define __FUNCT__ "MatSeqSBAIJSetColumnIndices"
1133 /*@
1134   MatSeqSBAIJSetColumnIndices - Set the column indices for all the rows
1135   in the matrix.
1136 
1137   Input Parameters:
1138   +  mat     - the SeqSBAIJ matrix
1139   -  indices - the column indices
1140 
1141   Level: advanced
1142 
1143   Notes:
1144   This can be called if you have precomputed the nonzero structure of the
1145   matrix and want to provide it to the matrix object to improve the performance
1146   of the MatSetValues() operation.
1147 
1148   You MUST have set the correct numbers of nonzeros per row in the call to
1149   MatCreateSeqSBAIJ(), and the columns indices MUST be sorted.
1150 
1151   MUST be called before any calls to MatSetValues()
1152 
1153   .seealso: MatCreateSeqSBAIJ
1154 @*/
1155 PetscErrorCode  MatSeqSBAIJSetColumnIndices(Mat mat,PetscInt *indices)
1156 {
1157   PetscErrorCode ierr;
1158 
1159   PetscFunctionBegin;
1160   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
1161   PetscValidPointer(indices,2);
1162   ierr = PetscUseMethod(mat,"MatSeqSBAIJSetColumnIndices_C",(Mat,PetscInt *),(mat,indices));CHKERRQ(ierr);
1163   PetscFunctionReturn(0);
1164 }
1165 
1166 #undef __FUNCT__
1167 #define __FUNCT__ "MatCopy_SeqSBAIJ"
1168 PetscErrorCode MatCopy_SeqSBAIJ(Mat A,Mat B,MatStructure str)
1169 {
1170   PetscErrorCode ierr;
1171 
1172   PetscFunctionBegin;
1173   /* If the two matrices have the same copy implementation, use fast copy. */
1174   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
1175     Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
1176     Mat_SeqSBAIJ *b = (Mat_SeqSBAIJ*)B->data;
1177 
1178     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");
1179     ierr = PetscMemcpy(b->a,a->a,(a->i[A->rmap->N])*sizeof(PetscScalar));CHKERRQ(ierr);
1180   } else {
1181     ierr = MatGetRowUpperTriangular(A);CHKERRQ(ierr);
1182     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
1183     ierr = MatRestoreRowUpperTriangular(A);CHKERRQ(ierr);
1184   }
1185   PetscFunctionReturn(0);
1186 }
1187 
1188 #undef __FUNCT__
1189 #define __FUNCT__ "MatSetUpPreallocation_SeqSBAIJ"
1190 PetscErrorCode MatSetUpPreallocation_SeqSBAIJ(Mat A)
1191 {
1192   PetscErrorCode ierr;
1193 
1194   PetscFunctionBegin;
1195   ierr =  MatSeqSBAIJSetPreallocation_SeqSBAIJ(A,-PetscMax(A->rmap->bs,1),PETSC_DEFAULT,0);CHKERRQ(ierr);
1196   PetscFunctionReturn(0);
1197 }
1198 
1199 #undef __FUNCT__
1200 #define __FUNCT__ "MatGetArray_SeqSBAIJ"
1201 PetscErrorCode MatGetArray_SeqSBAIJ(Mat A,PetscScalar *array[])
1202 {
1203   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
1204   PetscFunctionBegin;
1205   *array = a->a;
1206   PetscFunctionReturn(0);
1207 }
1208 
1209 #undef __FUNCT__
1210 #define __FUNCT__ "MatRestoreArray_SeqSBAIJ"
1211 PetscErrorCode MatRestoreArray_SeqSBAIJ(Mat A,PetscScalar *array[])
1212 {
1213   PetscFunctionBegin;
1214   PetscFunctionReturn(0);
1215  }
1216 
1217 #undef __FUNCT__
1218 #define __FUNCT__ "MatAXPY_SeqSBAIJ"
1219 PetscErrorCode MatAXPY_SeqSBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
1220 {
1221   Mat_SeqSBAIJ   *x=(Mat_SeqSBAIJ *)X->data, *y=(Mat_SeqSBAIJ *)Y->data;
1222   PetscErrorCode ierr;
1223   PetscInt       i,bs=Y->rmap->bs,bs2=bs*bs,j;
1224   PetscBLASInt   one = 1;
1225 
1226   PetscFunctionBegin;
1227   if (str == SAME_NONZERO_PATTERN) {
1228     PetscScalar alpha = a;
1229     PetscBLASInt bnz = PetscBLASIntCast(x->nz*bs2);
1230     BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one);
1231   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
1232     if (y->xtoy && y->XtoY != X) {
1233       ierr = PetscFree(y->xtoy);CHKERRQ(ierr);
1234       ierr = MatDestroy(&y->XtoY);CHKERRQ(ierr);
1235     }
1236     if (!y->xtoy) { /* get xtoy */
1237       ierr = MatAXPYGetxtoy_Private(x->mbs,x->i,x->j,PETSC_NULL, y->i,y->j,PETSC_NULL, &y->xtoy);CHKERRQ(ierr);
1238       y->XtoY = X;
1239     }
1240     for (i=0; i<x->nz; i++) {
1241       j = 0;
1242       while (j < bs2){
1243         y->a[bs2*y->xtoy[i]+j] += a*(x->a[bs2*i+j]);
1244         j++;
1245       }
1246     }
1247     ierr = PetscInfo3(Y,"ratio of nnz_s(X)/nnz_s(Y): %D/%D = %G\n",bs2*x->nz,bs2*y->nz,(PetscReal)(bs2*x->nz)/(bs2*y->nz));CHKERRQ(ierr);
1248   } else {
1249     ierr = MatGetRowUpperTriangular(X);CHKERRQ(ierr);
1250     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
1251     ierr = MatRestoreRowUpperTriangular(X);CHKERRQ(ierr);
1252   }
1253   PetscFunctionReturn(0);
1254 }
1255 
1256 #undef __FUNCT__
1257 #define __FUNCT__ "MatSetBlockSize_SeqSBAIJ"
1258 PetscErrorCode MatSetBlockSize_SeqSBAIJ(Mat A,PetscInt bs)
1259 {
1260   PetscInt rbs,cbs;
1261   PetscErrorCode ierr;
1262 
1263   PetscFunctionBegin;
1264   ierr = PetscLayoutGetBlockSize(A->rmap,&rbs);CHKERRQ(ierr);
1265   ierr = PetscLayoutGetBlockSize(A->cmap,&cbs);CHKERRQ(ierr);
1266   if (rbs != bs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Attempt to set block size %d with SBAIJ %d",bs,rbs);
1267   if (cbs != bs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Attempt to set block size %d with SBAIJ %d",bs,cbs);
1268   PetscFunctionReturn(0);
1269 }
1270 
1271 #undef __FUNCT__
1272 #define __FUNCT__ "MatIsSymmetric_SeqSBAIJ"
1273 PetscErrorCode MatIsSymmetric_SeqSBAIJ(Mat A,PetscReal tol,PetscBool  *flg)
1274 {
1275   PetscFunctionBegin;
1276   *flg = PETSC_TRUE;
1277   PetscFunctionReturn(0);
1278 }
1279 
1280 #undef __FUNCT__
1281 #define __FUNCT__ "MatIsStructurallySymmetric_SeqSBAIJ"
1282 PetscErrorCode MatIsStructurallySymmetric_SeqSBAIJ(Mat A,PetscBool  *flg)
1283 {
1284    PetscFunctionBegin;
1285    *flg = PETSC_TRUE;
1286    PetscFunctionReturn(0);
1287 }
1288 
1289 #undef __FUNCT__
1290 #define __FUNCT__ "MatIsHermitian_SeqSBAIJ"
1291 PetscErrorCode MatIsHermitian_SeqSBAIJ(Mat A,PetscReal tol,PetscBool  *flg)
1292  {
1293    PetscFunctionBegin;
1294    *flg = PETSC_FALSE;
1295    PetscFunctionReturn(0);
1296  }
1297 
1298 #undef __FUNCT__
1299 #define __FUNCT__ "MatRealPart_SeqSBAIJ"
1300 PetscErrorCode MatRealPart_SeqSBAIJ(Mat A)
1301 {
1302   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
1303   PetscInt       i,nz = a->bs2*a->i[a->mbs];
1304   MatScalar      *aa = a->a;
1305 
1306   PetscFunctionBegin;
1307   for (i=0; i<nz; i++) aa[i] = PetscRealPart(aa[i]);
1308   PetscFunctionReturn(0);
1309 }
1310 
1311 #undef __FUNCT__
1312 #define __FUNCT__ "MatImaginaryPart_SeqSBAIJ"
1313 PetscErrorCode MatImaginaryPart_SeqSBAIJ(Mat A)
1314 {
1315   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
1316   PetscInt       i,nz = a->bs2*a->i[a->mbs];
1317   MatScalar      *aa = a->a;
1318 
1319   PetscFunctionBegin;
1320   for (i=0; i<nz; i++) aa[i] = PetscImaginaryPart(aa[i]);
1321   PetscFunctionReturn(0);
1322 }
1323 
1324 #undef __FUNCT__
1325 #define __FUNCT__ "MatZeroRowsColumns_SeqSBAIJ"
1326 PetscErrorCode MatZeroRowsColumns_SeqSBAIJ(Mat A,PetscInt is_n,const PetscInt is_idx[],PetscScalar diag,Vec x, Vec b)
1327 {
1328   Mat_SeqSBAIJ      *baij=(Mat_SeqSBAIJ*)A->data;
1329   PetscErrorCode    ierr;
1330   PetscInt          i,j,k,count;
1331   PetscInt          bs=A->rmap->bs,bs2=baij->bs2,row,col;
1332   PetscScalar       zero = 0.0;
1333   MatScalar         *aa;
1334   const PetscScalar *xx;
1335   PetscScalar       *bb;
1336   PetscBool         *zeroed,vecs = PETSC_FALSE;
1337 
1338   PetscFunctionBegin;
1339   /* fix right hand side if needed */
1340   if (x && b) {
1341     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1342     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1343     vecs = PETSC_TRUE;
1344   }
1345   A->same_nonzero = PETSC_TRUE;
1346 
1347   /* zero the columns */
1348   ierr = PetscMalloc(A->rmap->n*sizeof(PetscBool),&zeroed);CHKERRQ(ierr);
1349   ierr = PetscMemzero(zeroed,A->rmap->n*sizeof(PetscBool));CHKERRQ(ierr);
1350   for (i=0; i<is_n; i++) {
1351     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]);
1352     zeroed[is_idx[i]] = PETSC_TRUE;
1353   }
1354   if (vecs) {
1355     for (i=0; i<A->rmap->N; i++) {
1356       row = i/bs;
1357       for (j=baij->i[row]; j<baij->i[row+1]; j++) {
1358 	for (k=0; k<bs; k++) {
1359 	  col = bs*baij->j[j] + k;
1360           if (col <= i) continue;
1361 	  aa = ((MatScalar*)(baij->a)) + j*bs2 + (i%bs) + bs*k;
1362 	  if (!zeroed[i] && zeroed[col]) {
1363 	    bb[i] -= aa[0]*xx[col];
1364 	  }
1365 	  if (zeroed[i] && !zeroed[col]) {
1366 	    bb[col] -= aa[0]*xx[i];
1367 	  }
1368 	}
1369       }
1370     }
1371     for (i=0; i<is_n; i++) {
1372       bb[is_idx[i]] = diag*xx[is_idx[i]];
1373     }
1374   }
1375 
1376   for (i=0; i<A->rmap->N; i++) {
1377     if (!zeroed[i]) {
1378       row = i/bs;
1379       for (j=baij->i[row]; j<baij->i[row+1]; j++) {
1380         for (k=0; k<bs; k++) {
1381           col = bs*baij->j[j] + k;
1382 	  if (zeroed[col]) {
1383 	    aa = ((MatScalar*)(baij->a)) + j*bs2 + (i%bs) + bs*k;
1384             aa[0] = 0.0;
1385           }
1386         }
1387       }
1388     }
1389   }
1390   ierr = PetscFree(zeroed);CHKERRQ(ierr);
1391   if (vecs) {
1392     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1393     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1394   }
1395 
1396   /* zero the rows */
1397   for (i=0; i<is_n; i++) {
1398     row   = is_idx[i];
1399     count = (baij->i[row/bs +1] - baij->i[row/bs])*bs;
1400     aa    = ((MatScalar*)(baij->a)) + baij->i[row/bs]*bs2 + (row%bs);
1401     for (k=0; k<count; k++) {
1402       aa[0] =  zero;
1403       aa    += bs;
1404     }
1405     if (diag != 0.0) {
1406       ierr = (*A->ops->setvalues)(A,1,&row,1,&row,&diag,INSERT_VALUES);CHKERRQ(ierr);
1407     }
1408   }
1409   ierr = MatAssemblyEnd_SeqSBAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1410   PetscFunctionReturn(0);
1411 }
1412 
1413 /* -------------------------------------------------------------------*/
1414 static struct _MatOps MatOps_Values = {MatSetValues_SeqSBAIJ,
1415        MatGetRow_SeqSBAIJ,
1416        MatRestoreRow_SeqSBAIJ,
1417        MatMult_SeqSBAIJ_N,
1418 /* 4*/ MatMultAdd_SeqSBAIJ_N,
1419        MatMult_SeqSBAIJ_N,       /* transpose versions are same as non-transpose versions */
1420        MatMultAdd_SeqSBAIJ_N,
1421        0,
1422        0,
1423        0,
1424 /*10*/ 0,
1425        0,
1426        MatCholeskyFactor_SeqSBAIJ,
1427        MatSOR_SeqSBAIJ,
1428        MatTranspose_SeqSBAIJ,
1429 /*15*/ MatGetInfo_SeqSBAIJ,
1430        MatEqual_SeqSBAIJ,
1431        MatGetDiagonal_SeqSBAIJ,
1432        MatDiagonalScale_SeqSBAIJ,
1433        MatNorm_SeqSBAIJ,
1434 /*20*/ 0,
1435        MatAssemblyEnd_SeqSBAIJ,
1436        MatSetOption_SeqSBAIJ,
1437        MatZeroEntries_SeqSBAIJ,
1438 /*24*/ 0,
1439        0,
1440        0,
1441        0,
1442        0,
1443 /*29*/ MatSetUpPreallocation_SeqSBAIJ,
1444        0,
1445        0,
1446        MatGetArray_SeqSBAIJ,
1447        MatRestoreArray_SeqSBAIJ,
1448 /*34*/ MatDuplicate_SeqSBAIJ,
1449        0,
1450        0,
1451        0,
1452        MatICCFactor_SeqSBAIJ,
1453 /*39*/ MatAXPY_SeqSBAIJ,
1454        MatGetSubMatrices_SeqSBAIJ,
1455        MatIncreaseOverlap_SeqSBAIJ,
1456        MatGetValues_SeqSBAIJ,
1457        MatCopy_SeqSBAIJ,
1458 /*44*/ 0,
1459        MatScale_SeqSBAIJ,
1460        0,
1461        0,
1462        MatZeroRowsColumns_SeqSBAIJ,
1463 /*49*/ MatSetBlockSize_SeqSBAIJ,
1464        MatGetRowIJ_SeqSBAIJ,
1465        MatRestoreRowIJ_SeqSBAIJ,
1466        0,
1467        0,
1468 /*54*/ 0,
1469        0,
1470        0,
1471        0,
1472        MatSetValuesBlocked_SeqSBAIJ,
1473 /*59*/ MatGetSubMatrix_SeqSBAIJ,
1474        0,
1475        0,
1476        0,
1477        0,
1478 /*64*/ 0,
1479        0,
1480        0,
1481        0,
1482        0,
1483 /*69*/ MatGetRowMaxAbs_SeqSBAIJ,
1484        0,
1485        0,
1486        0,
1487        0,
1488 /*74*/ 0,
1489        0,
1490        0,
1491        0,
1492        0,
1493 /*79*/ 0,
1494        0,
1495        0,
1496        MatGetInertia_SeqSBAIJ,
1497        MatLoad_SeqSBAIJ,
1498 /*84*/ MatIsSymmetric_SeqSBAIJ,
1499        MatIsHermitian_SeqSBAIJ,
1500        MatIsStructurallySymmetric_SeqSBAIJ,
1501        0,
1502        0,
1503 /*89*/ 0,
1504        0,
1505        0,
1506        0,
1507        0,
1508 /*94*/ 0,
1509        0,
1510        0,
1511        0,
1512        0,
1513 /*99*/ 0,
1514        0,
1515        0,
1516        0,
1517        0,
1518 /*104*/0,
1519        MatRealPart_SeqSBAIJ,
1520        MatImaginaryPart_SeqSBAIJ,
1521        MatGetRowUpperTriangular_SeqSBAIJ,
1522        MatRestoreRowUpperTriangular_SeqSBAIJ,
1523 /*109*/0,
1524        0,
1525        0,
1526        0,
1527        MatMissingDiagonal_SeqSBAIJ,
1528 /*114*/0,
1529        0,
1530        0,
1531        0,
1532        0,
1533 /*119*/0,
1534        0,
1535        0,
1536        0
1537 };
1538 
1539 EXTERN_C_BEGIN
1540 #undef __FUNCT__
1541 #define __FUNCT__ "MatStoreValues_SeqSBAIJ"
1542 PetscErrorCode  MatStoreValues_SeqSBAIJ(Mat mat)
1543 {
1544   Mat_SeqSBAIJ   *aij = (Mat_SeqSBAIJ *)mat->data;
1545   PetscInt       nz = aij->i[mat->rmap->N]*mat->rmap->bs*aij->bs2;
1546   PetscErrorCode ierr;
1547 
1548   PetscFunctionBegin;
1549   if (aij->nonew != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
1550 
1551   /* allocate space for values if not already there */
1552   if (!aij->saved_values) {
1553     ierr = PetscMalloc((nz+1)*sizeof(PetscScalar),&aij->saved_values);CHKERRQ(ierr);
1554   }
1555 
1556   /* copy values over */
1557   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
1558   PetscFunctionReturn(0);
1559 }
1560 EXTERN_C_END
1561 
1562 EXTERN_C_BEGIN
1563 #undef __FUNCT__
1564 #define __FUNCT__ "MatRetrieveValues_SeqSBAIJ"
1565 PetscErrorCode  MatRetrieveValues_SeqSBAIJ(Mat mat)
1566 {
1567   Mat_SeqSBAIJ   *aij = (Mat_SeqSBAIJ *)mat->data;
1568   PetscErrorCode ierr;
1569   PetscInt       nz = aij->i[mat->rmap->N]*mat->rmap->bs*aij->bs2;
1570 
1571   PetscFunctionBegin;
1572   if (aij->nonew != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
1573   if (!aij->saved_values) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
1574 
1575   /* copy values over */
1576   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
1577   PetscFunctionReturn(0);
1578 }
1579 EXTERN_C_END
1580 
1581 EXTERN_C_BEGIN
1582 #undef __FUNCT__
1583 #define __FUNCT__ "MatSeqSBAIJSetPreallocation_SeqSBAIJ"
1584 PetscErrorCode  MatSeqSBAIJSetPreallocation_SeqSBAIJ(Mat B,PetscInt bs,PetscInt nz,PetscInt *nnz)
1585 {
1586   Mat_SeqSBAIJ   *b = (Mat_SeqSBAIJ*)B->data;
1587   PetscErrorCode ierr;
1588   PetscInt       i,mbs,bs2, newbs = PetscAbs(bs);
1589   PetscBool      skipallocation = PETSC_FALSE,flg = PETSC_FALSE;
1590 
1591   PetscFunctionBegin;
1592   B->preallocated = PETSC_TRUE;
1593   if (bs < 0) {
1594     ierr = PetscOptionsBegin(((PetscObject)B)->comm,((PetscObject)B)->prefix,"Options for MPISBAIJ matrix","Mat");CHKERRQ(ierr);
1595       ierr = PetscOptionsInt("-mat_block_size","Set the blocksize used to store the matrix","MatSeqSBAIJSetPreallocation",newbs,&newbs,PETSC_NULL);CHKERRQ(ierr);
1596     ierr = PetscOptionsEnd();CHKERRQ(ierr);
1597     bs   = PetscAbs(bs);
1598   }
1599   if (nnz && newbs != bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Cannot change blocksize from command line if setting nnz");
1600   bs = newbs;
1601 
1602   ierr = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
1603   ierr = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
1604   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1605   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1606 
1607   mbs  = B->rmap->N/bs;
1608   bs2  = bs*bs;
1609 
1610   if (mbs*bs != B->rmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Number rows, cols must be divisible by blocksize");
1611 
1612   if (nz == MAT_SKIP_ALLOCATION) {
1613     skipallocation = PETSC_TRUE;
1614     nz             = 0;
1615   }
1616 
1617   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 3;
1618   if (nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %D",nz);
1619   if (nnz) {
1620     for (i=0; i<mbs; i++) {
1621       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]);
1622       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);
1623     }
1624   }
1625 
1626   B->ops->mult             = MatMult_SeqSBAIJ_N;
1627   B->ops->multadd          = MatMultAdd_SeqSBAIJ_N;
1628   B->ops->multtranspose    = MatMult_SeqSBAIJ_N;
1629   B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_N;
1630   ierr  = PetscOptionsGetBool(((PetscObject)B)->prefix,"-mat_no_unroll",&flg,PETSC_NULL);CHKERRQ(ierr);
1631   if (!flg) {
1632     switch (bs) {
1633     case 1:
1634       B->ops->mult             = MatMult_SeqSBAIJ_1;
1635       B->ops->multadd          = MatMultAdd_SeqSBAIJ_1;
1636       B->ops->multtranspose    = MatMult_SeqSBAIJ_1;
1637       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_1;
1638       break;
1639     case 2:
1640       B->ops->mult             = MatMult_SeqSBAIJ_2;
1641       B->ops->multadd          = MatMultAdd_SeqSBAIJ_2;
1642       B->ops->multtranspose    = MatMult_SeqSBAIJ_2;
1643       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_2;
1644       break;
1645     case 3:
1646       B->ops->mult             = MatMult_SeqSBAIJ_3;
1647       B->ops->multadd          = MatMultAdd_SeqSBAIJ_3;
1648       B->ops->multtranspose    = MatMult_SeqSBAIJ_3;
1649       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_3;
1650       break;
1651     case 4:
1652       B->ops->mult             = MatMult_SeqSBAIJ_4;
1653       B->ops->multadd          = MatMultAdd_SeqSBAIJ_4;
1654       B->ops->multtranspose    = MatMult_SeqSBAIJ_4;
1655       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_4;
1656       break;
1657     case 5:
1658       B->ops->mult             = MatMult_SeqSBAIJ_5;
1659       B->ops->multadd          = MatMultAdd_SeqSBAIJ_5;
1660       B->ops->multtranspose    = MatMult_SeqSBAIJ_5;
1661       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_5;
1662       break;
1663     case 6:
1664       B->ops->mult             = MatMult_SeqSBAIJ_6;
1665       B->ops->multadd          = MatMultAdd_SeqSBAIJ_6;
1666       B->ops->multtranspose    = MatMult_SeqSBAIJ_6;
1667       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_6;
1668       break;
1669     case 7:
1670       B->ops->mult             = MatMult_SeqSBAIJ_7;
1671       B->ops->multadd          = MatMultAdd_SeqSBAIJ_7;
1672       B->ops->multtranspose    = MatMult_SeqSBAIJ_7;
1673       B->ops->multtransposeadd = MatMultAdd_SeqSBAIJ_7;
1674       break;
1675     }
1676   }
1677 
1678   b->mbs = mbs;
1679   b->nbs = mbs;
1680   if (!skipallocation) {
1681     if (!b->imax) {
1682       ierr = PetscMalloc2(mbs,PetscInt,&b->imax,mbs,PetscInt,&b->ilen);CHKERRQ(ierr);
1683       b->free_imax_ilen = PETSC_TRUE;
1684       ierr = PetscLogObjectMemory(B,2*mbs*sizeof(PetscInt));CHKERRQ(ierr);
1685     }
1686     if (!nnz) {
1687       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
1688       else if (nz <= 0)        nz = 1;
1689       for (i=0; i<mbs; i++) {
1690         b->imax[i] = nz;
1691       }
1692       nz = nz*mbs; /* total nz */
1693     } else {
1694       nz = 0;
1695       for (i=0; i<mbs; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
1696     }
1697     /* b->ilen will count nonzeros in each block row so far. */
1698     for (i=0; i<mbs; i++) { b->ilen[i] = 0;}
1699     /* nz=(nz+mbs)/2; */ /* total diagonal and superdiagonal nonzero blocks */
1700 
1701     /* allocate the matrix space */
1702     ierr = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
1703     ierr = PetscMalloc3(bs2*nz,PetscScalar,&b->a,nz,PetscInt,&b->j,B->rmap->N+1,PetscInt,&b->i);CHKERRQ(ierr);
1704     ierr = PetscLogObjectMemory(B,(B->rmap->N+1)*sizeof(PetscInt)+nz*(bs2*sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
1705     ierr = PetscMemzero(b->a,nz*bs2*sizeof(MatScalar));CHKERRQ(ierr);
1706     ierr = PetscMemzero(b->j,nz*sizeof(PetscInt));CHKERRQ(ierr);
1707     b->singlemalloc = PETSC_TRUE;
1708 
1709     /* pointer to beginning of each row */
1710     b->i[0] = 0;
1711     for (i=1; i<mbs+1; i++) {
1712       b->i[i] = b->i[i-1] + b->imax[i-1];
1713     }
1714     b->free_a     = PETSC_TRUE;
1715     b->free_ij    = PETSC_TRUE;
1716   } else {
1717     b->free_a     = PETSC_FALSE;
1718     b->free_ij    = PETSC_FALSE;
1719   }
1720 
1721   B->rmap->bs     = bs;
1722   b->bs2          = bs2;
1723   b->nz           = 0;
1724   b->maxnz        = nz;
1725 
1726   b->inew             = 0;
1727   b->jnew             = 0;
1728   b->anew             = 0;
1729   b->a2anew           = 0;
1730   b->permute          = PETSC_FALSE;
1731   PetscFunctionReturn(0);
1732 }
1733 EXTERN_C_END
1734 
1735 /*
1736    This is used to set the numeric factorization for both Cholesky and ICC symbolic factorization
1737 */
1738 #undef __FUNCT__
1739 #define __FUNCT__ "MatSeqSBAIJSetNumericFactorization_inplace"
1740 PetscErrorCode MatSeqSBAIJSetNumericFactorization_inplace(Mat B,PetscBool  natural)
1741 {
1742   PetscErrorCode ierr;
1743   PetscBool      flg = PETSC_FALSE;
1744   PetscInt       bs = B->rmap->bs;
1745 
1746   PetscFunctionBegin;
1747   ierr    = PetscOptionsGetBool(((PetscObject)B)->prefix,"-mat_no_unroll",&flg,PETSC_NULL);CHKERRQ(ierr);
1748   if (flg) bs = 8;
1749 
1750   if (!natural) {
1751     switch (bs) {
1752     case 1:
1753       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_1_inplace;
1754       break;
1755     case 2:
1756       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_2;
1757       break;
1758     case 3:
1759       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_3;
1760       break;
1761     case 4:
1762       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_4;
1763       break;
1764     case 5:
1765       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_5;
1766       break;
1767     case 6:
1768       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_6;
1769       break;
1770     case 7:
1771       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_7;
1772       break;
1773     default:
1774       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_N;
1775       break;
1776     }
1777   } else {
1778     switch (bs) {
1779     case 1:
1780       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_1_NaturalOrdering_inplace;
1781       break;
1782     case 2:
1783       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_2_NaturalOrdering;
1784       break;
1785     case 3:
1786       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_3_NaturalOrdering;
1787       break;
1788     case 4:
1789       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_4_NaturalOrdering;
1790       break;
1791     case 5:
1792       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_5_NaturalOrdering;
1793       break;
1794     case 6:
1795       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_6_NaturalOrdering;
1796       break;
1797     case 7:
1798       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_7_NaturalOrdering;
1799       break;
1800     default:
1801       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_N_NaturalOrdering;
1802       break;
1803     }
1804   }
1805   PetscFunctionReturn(0);
1806 }
1807 
1808 EXTERN_C_BEGIN
1809 extern PetscErrorCode  MatConvert_SeqSBAIJ_SeqAIJ(Mat, MatType,MatReuse,Mat*);
1810 extern PetscErrorCode  MatConvert_SeqSBAIJ_SeqBAIJ(Mat, MatType,MatReuse,Mat*);
1811 EXTERN_C_END
1812 
1813 
1814 EXTERN_C_BEGIN
1815 #undef __FUNCT__
1816 #define __FUNCT__ "MatGetFactor_seqsbaij_petsc"
1817 PetscErrorCode MatGetFactor_seqsbaij_petsc(Mat A,MatFactorType ftype,Mat *B)
1818 {
1819   PetscInt           n = A->rmap->n;
1820   PetscErrorCode     ierr;
1821 
1822   PetscFunctionBegin;
1823   ierr = MatCreate(((PetscObject)A)->comm,B);CHKERRQ(ierr);
1824   ierr = MatSetSizes(*B,n,n,n,n);CHKERRQ(ierr);
1825   if (ftype == MAT_FACTOR_CHOLESKY || ftype == MAT_FACTOR_ICC) {
1826     ierr = MatSetType(*B,MATSEQSBAIJ);CHKERRQ(ierr);
1827     ierr = MatSeqSBAIJSetPreallocation(*B,1,MAT_SKIP_ALLOCATION,PETSC_NULL);CHKERRQ(ierr);
1828     (*B)->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_SeqSBAIJ;
1829     (*B)->ops->iccfactorsymbolic      = MatICCFactorSymbolic_SeqSBAIJ;
1830   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Factor type not supported");
1831   (*B)->factortype = ftype;
1832   PetscFunctionReturn(0);
1833 }
1834 EXTERN_C_END
1835 
1836 EXTERN_C_BEGIN
1837 #undef __FUNCT__
1838 #define __FUNCT__ "MatGetFactorAvailable_seqsbaij_petsc"
1839 PetscErrorCode MatGetFactorAvailable_seqsbaij_petsc(Mat A,MatFactorType ftype,PetscBool  *flg)
1840 {
1841   PetscFunctionBegin;
1842   if (ftype == MAT_FACTOR_CHOLESKY || ftype == MAT_FACTOR_ICC) {
1843     *flg = PETSC_TRUE;
1844   } else {
1845     *flg = PETSC_FALSE;
1846   }
1847   PetscFunctionReturn(0);
1848 }
1849 EXTERN_C_END
1850 
1851 EXTERN_C_BEGIN
1852 #if defined(PETSC_HAVE_MUMPS)
1853 extern PetscErrorCode MatGetFactor_sbaij_mumps(Mat,MatFactorType,Mat*);
1854 #endif
1855 #if defined(PETSC_HAVE_SPOOLES)
1856 extern PetscErrorCode MatGetFactor_seqsbaij_spooles(Mat,MatFactorType,Mat*);
1857 #endif
1858 #if defined(PETSC_HAVE_PASTIX)
1859 extern PetscErrorCode MatGetFactor_seqsbaij_pastix(Mat,MatFactorType,Mat*);
1860 #endif
1861 #if defined(PETSC_HAVE_CHOLMOD)
1862 extern PetscErrorCode MatGetFactor_seqsbaij_cholmod(Mat,MatFactorType,Mat*);
1863 #endif
1864 extern PetscErrorCode MatGetFactor_seqsbaij_sbstrm(Mat,MatFactorType,Mat*);
1865 EXTERN_C_END
1866 
1867 /*MC
1868   MATSEQSBAIJ - MATSEQSBAIJ = "seqsbaij" - A matrix type to be used for sequential symmetric block sparse matrices,
1869   based on block compressed sparse row format.  Only the upper triangular portion of the matrix is stored.
1870 
1871   For complex numbers by default this matrix is symmetric, NOT Hermitian symmetric. To make it Hermitian symmetric you
1872   can call MatSetOption(Mat, MAT_HERMITIAN); after MatAssemblyEnd()
1873 
1874   Options Database Keys:
1875   . -mat_type seqsbaij - sets the matrix type to "seqsbaij" during a call to MatSetFromOptions()
1876 
1877   Notes: By default if you insert values into the lower triangular part of the matrix they are simply ignored (since they are not
1878      stored and it is assumed they symmetric to the upper triangular). If you call MatSetOption(Mat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_FALSE) or use
1879      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.
1880 
1881 
1882   Level: beginner
1883 
1884   .seealso: MatCreateSeqSBAIJ
1885 M*/
1886 
1887 EXTERN_C_BEGIN
1888 extern PetscErrorCode  MatConvert_SeqSBAIJ_SeqSBSTRM(Mat, MatType,MatReuse,Mat*);
1889 EXTERN_C_END
1890 
1891 
1892 EXTERN_C_BEGIN
1893 #undef __FUNCT__
1894 #define __FUNCT__ "MatCreate_SeqSBAIJ"
1895 PetscErrorCode  MatCreate_SeqSBAIJ(Mat B)
1896 {
1897   Mat_SeqSBAIJ   *b;
1898   PetscErrorCode ierr;
1899   PetscMPIInt    size;
1900   PetscBool      no_unroll = PETSC_FALSE,no_inode = PETSC_FALSE;
1901 
1902   PetscFunctionBegin;
1903   ierr = MPI_Comm_size(((PetscObject)B)->comm,&size);CHKERRQ(ierr);
1904   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Comm must be of size 1");
1905 
1906   ierr    = PetscNewLog(B,Mat_SeqSBAIJ,&b);CHKERRQ(ierr);
1907   B->data = (void*)b;
1908   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
1909   B->ops->destroy     = MatDestroy_SeqSBAIJ;
1910   B->ops->view        = MatView_SeqSBAIJ;
1911   b->row              = 0;
1912   b->icol             = 0;
1913   b->reallocs         = 0;
1914   b->saved_values     = 0;
1915   b->inode.limit      = 5;
1916   b->inode.max_limit  = 5;
1917 
1918   b->roworiented      = PETSC_TRUE;
1919   b->nonew            = 0;
1920   b->diag             = 0;
1921   b->solve_work       = 0;
1922   b->mult_work        = 0;
1923   B->spptr            = 0;
1924   B->info.nz_unneeded = (PetscReal)b->maxnz*b->bs2;
1925   b->keepnonzeropattern   = PETSC_FALSE;
1926   b->xtoy             = 0;
1927   b->XtoY             = 0;
1928 
1929   b->inew             = 0;
1930   b->jnew             = 0;
1931   b->anew             = 0;
1932   b->a2anew           = 0;
1933   b->permute          = PETSC_FALSE;
1934 
1935   b->ignore_ltriangular = PETSC_TRUE;
1936   ierr = PetscOptionsGetBool(((PetscObject)B)->prefix,"-mat_ignore_lower_triangular",&b->ignore_ltriangular,PETSC_NULL);CHKERRQ(ierr);
1937 
1938   b->getrow_utriangular = PETSC_FALSE;
1939   ierr = PetscOptionsGetBool(((PetscObject)B)->prefix,"-mat_getrow_uppertriangular",&b->getrow_utriangular,PETSC_NULL);CHKERRQ(ierr);
1940 
1941 #if defined(PETSC_HAVE_PASTIX)
1942   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_pastix_C",
1943 					   "MatGetFactor_seqsbaij_pastix",
1944 					   MatGetFactor_seqsbaij_pastix);CHKERRQ(ierr);
1945 #endif
1946 #if defined(PETSC_HAVE_SPOOLES)
1947   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_spooles_C",
1948                                      "MatGetFactor_seqsbaij_spooles",
1949                                      MatGetFactor_seqsbaij_spooles);CHKERRQ(ierr);
1950 #endif
1951 #if defined(PETSC_HAVE_MUMPS)
1952   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_mumps_C",
1953                                      "MatGetFactor_sbaij_mumps",
1954                                      MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
1955 #endif
1956 #if defined(PETSC_HAVE_CHOLMOD)
1957   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_cholmod_C",
1958                                      "MatGetFactor_seqsbaij_cholmod",
1959                                      MatGetFactor_seqsbaij_cholmod);CHKERRQ(ierr);
1960 #endif
1961   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactorAvailable_petsc_C",
1962                                      "MatGetFactorAvailable_seqsbaij_petsc",
1963                                      MatGetFactorAvailable_seqsbaij_petsc);CHKERRQ(ierr);
1964   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_petsc_C",
1965                                      "MatGetFactor_seqsbaij_petsc",
1966                                      MatGetFactor_seqsbaij_petsc);CHKERRQ(ierr);
1967   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_sbstrm_C",
1968                                      "MatGetFactor_seqsbaij_sbstrm",
1969                                      MatGetFactor_seqsbaij_sbstrm);CHKERRQ(ierr);
1970   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatStoreValues_C",
1971                                      "MatStoreValues_SeqSBAIJ",
1972                                      MatStoreValues_SeqSBAIJ);CHKERRQ(ierr);
1973   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatRetrieveValues_C",
1974                                      "MatRetrieveValues_SeqSBAIJ",
1975                                      (void*)MatRetrieveValues_SeqSBAIJ);CHKERRQ(ierr);
1976   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqSBAIJSetColumnIndices_C",
1977                                      "MatSeqSBAIJSetColumnIndices_SeqSBAIJ",
1978                                      MatSeqSBAIJSetColumnIndices_SeqSBAIJ);CHKERRQ(ierr);
1979   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqsbaij_seqaij_C",
1980                                      "MatConvert_SeqSBAIJ_SeqAIJ",
1981                                       MatConvert_SeqSBAIJ_SeqAIJ);CHKERRQ(ierr);
1982   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqsbaij_seqbaij_C",
1983                                      "MatConvert_SeqSBAIJ_SeqBAIJ",
1984                                       MatConvert_SeqSBAIJ_SeqBAIJ);CHKERRQ(ierr);
1985   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqSBAIJSetPreallocation_C",
1986                                      "MatSeqSBAIJSetPreallocation_SeqSBAIJ",
1987                                      MatSeqSBAIJSetPreallocation_SeqSBAIJ);CHKERRQ(ierr);
1988   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqsbaij_seqsbstrm_C",
1989                                      "MatConvert_SeqSBAIJ_SeqSBSTRM",
1990                                       MatConvert_SeqSBAIJ_SeqSBSTRM);CHKERRQ(ierr);
1991 
1992   B->symmetric                  = PETSC_TRUE;
1993   B->structurally_symmetric     = PETSC_TRUE;
1994   B->symmetric_set              = PETSC_TRUE;
1995   B->structurally_symmetric_set = PETSC_TRUE;
1996   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQSBAIJ);CHKERRQ(ierr);
1997 
1998   ierr = PetscOptionsBegin(((PetscObject)B)->comm,((PetscObject)B)->prefix,"Options for SEQSBAIJ matrix","Mat");CHKERRQ(ierr);
1999     ierr = PetscOptionsBool("-mat_no_unroll","Do not optimize for inodes (slower)",PETSC_NULL,no_unroll,&no_unroll,PETSC_NULL);CHKERRQ(ierr);
2000     if (no_unroll) {ierr = PetscInfo(B,"Not using Inode routines due to -mat_no_unroll\n");CHKERRQ(ierr);}
2001     ierr = PetscOptionsBool("-mat_no_inode","Do not optimize for inodes (slower)",PETSC_NULL,no_inode,&no_inode,PETSC_NULL);CHKERRQ(ierr);
2002     if (no_inode) {ierr = PetscInfo(B,"Not using Inode routines due to -mat_no_inode\n");CHKERRQ(ierr);}
2003     ierr = PetscOptionsInt("-mat_inode_limit","Do not use inodes larger then this value",PETSC_NULL,b->inode.limit,&b->inode.limit,PETSC_NULL);CHKERRQ(ierr);
2004   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2005   b->inode.use = (PetscBool)(!(no_unroll || no_inode));
2006   if (b->inode.limit > b->inode.max_limit) b->inode.limit = b->inode.max_limit;
2007 
2008   PetscFunctionReturn(0);
2009 }
2010 EXTERN_C_END
2011 
2012 #undef __FUNCT__
2013 #define __FUNCT__ "MatSeqSBAIJSetPreallocation"
2014 /*@C
2015    MatSeqSBAIJSetPreallocation - Creates a sparse symmetric matrix in block AIJ (block
2016    compressed row) format.  For good matrix assembly performance the
2017    user should preallocate the matrix storage by setting the parameter nz
2018    (or the array nnz).  By setting these parameters accurately, performance
2019    during matrix assembly can be increased by more than a factor of 50.
2020 
2021    Collective on Mat
2022 
2023    Input Parameters:
2024 +  A - the symmetric matrix
2025 .  bs - size of block
2026 .  nz - number of block nonzeros per block row (same for all rows)
2027 -  nnz - array containing the number of block nonzeros in the upper triangular plus
2028          diagonal portion of each block (possibly different for each block row) or PETSC_NULL
2029 
2030    Options Database Keys:
2031 .   -mat_no_unroll - uses code that does not unroll the loops in the
2032                      block calculations (much slower)
2033 .    -mat_block_size - size of the blocks to use (only works if a negative bs is passed in
2034 
2035    Level: intermediate
2036 
2037    Notes:
2038    Specify the preallocated storage with either nz or nnz (not both).
2039    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
2040    allocation.  See the <a href="../../docs/manual.pdf#nameddest=ch_mat">Mat chapter of the users manual</a> for details.
2041 
2042    You can call MatGetInfo() to get information on how effective the preallocation was;
2043    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
2044    You can also run with the option -info and look for messages with the string
2045    malloc in them to see if additional memory allocation was needed.
2046 
2047    If the nnz parameter is given then the nz parameter is ignored
2048 
2049 
2050 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateMPISBAIJ()
2051 @*/
2052 PetscErrorCode  MatSeqSBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt nz,const PetscInt nnz[])
2053 {
2054   PetscErrorCode ierr;
2055 
2056   PetscFunctionBegin;
2057   ierr = PetscTryMethod(B,"MatSeqSBAIJSetPreallocation_C",(Mat,PetscInt,PetscInt,const PetscInt[]),(B,bs,nz,nnz));CHKERRQ(ierr);
2058   PetscFunctionReturn(0);
2059 }
2060 
2061 #undef __FUNCT__
2062 #define __FUNCT__ "MatCreateSeqSBAIJ"
2063 /*@C
2064    MatCreateSeqSBAIJ - Creates a sparse symmetric matrix in block AIJ (block
2065    compressed row) format.  For good matrix assembly performance the
2066    user should preallocate the matrix storage by setting the parameter nz
2067    (or the array nnz).  By setting these parameters accurately, performance
2068    during matrix assembly can be increased by more than a factor of 50.
2069 
2070    Collective on MPI_Comm
2071 
2072    Input Parameters:
2073 +  comm - MPI communicator, set to PETSC_COMM_SELF
2074 .  bs - size of block
2075 .  m - number of rows, or number of columns
2076 .  nz - number of block nonzeros per block row (same for all rows)
2077 -  nnz - array containing the number of block nonzeros in the upper triangular plus
2078          diagonal portion of each block (possibly different for each block row) or PETSC_NULL
2079 
2080    Output Parameter:
2081 .  A - the symmetric matrix
2082 
2083    Options Database Keys:
2084 .   -mat_no_unroll - uses code that does not unroll the loops in the
2085                      block calculations (much slower)
2086 .    -mat_block_size - size of the blocks to use
2087 
2088    Level: intermediate
2089 
2090    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
2091    MatXXXXSetPreallocation() paradgm instead of this routine directly.
2092    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
2093 
2094    Notes:
2095    The number of rows and columns must be divisible by blocksize.
2096    This matrix type does not support complex Hermitian operation.
2097 
2098    Specify the preallocated storage with either nz or nnz (not both).
2099    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
2100    allocation.  See the <a href="../../docs/manual.pdf#nameddest=ch_mat">Mat chapter of the users manual</a> for details.
2101 
2102    If the nnz parameter is given then the nz parameter is ignored
2103 
2104 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateMPISBAIJ()
2105 @*/
2106 PetscErrorCode  MatCreateSeqSBAIJ(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
2107 {
2108   PetscErrorCode ierr;
2109 
2110   PetscFunctionBegin;
2111   ierr = MatCreate(comm,A);CHKERRQ(ierr);
2112   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
2113   ierr = MatSetType(*A,MATSEQSBAIJ);CHKERRQ(ierr);
2114   ierr = MatSeqSBAIJSetPreallocation_SeqSBAIJ(*A,bs,nz,(PetscInt*)nnz);CHKERRQ(ierr);
2115   PetscFunctionReturn(0);
2116 }
2117 
2118 #undef __FUNCT__
2119 #define __FUNCT__ "MatDuplicate_SeqSBAIJ"
2120 PetscErrorCode MatDuplicate_SeqSBAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
2121 {
2122   Mat            C;
2123   Mat_SeqSBAIJ   *c,*a = (Mat_SeqSBAIJ*)A->data;
2124   PetscErrorCode ierr;
2125   PetscInt       i,mbs = a->mbs,nz = a->nz,bs2 =a->bs2;
2126 
2127   PetscFunctionBegin;
2128   if (a->i[mbs] != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Corrupt matrix");
2129 
2130   *B = 0;
2131   ierr = MatCreate(((PetscObject)A)->comm,&C);CHKERRQ(ierr);
2132   ierr = MatSetSizes(C,A->rmap->N,A->cmap->n,A->rmap->N,A->cmap->n);CHKERRQ(ierr);
2133   ierr = MatSetType(C,MATSEQSBAIJ);CHKERRQ(ierr);
2134   ierr = PetscMemcpy(C->ops,A->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
2135   c    = (Mat_SeqSBAIJ*)C->data;
2136 
2137   C->preallocated       = PETSC_TRUE;
2138   C->factortype         = A->factortype;
2139   c->row                = 0;
2140   c->icol               = 0;
2141   c->saved_values       = 0;
2142   c->keepnonzeropattern = a->keepnonzeropattern;
2143   C->assembled          = PETSC_TRUE;
2144 
2145   ierr = PetscLayoutReference(A->rmap,&C->rmap);CHKERRQ(ierr);
2146   ierr = PetscLayoutReference(A->cmap,&C->cmap);CHKERRQ(ierr);
2147   c->bs2  = a->bs2;
2148   c->mbs  = a->mbs;
2149   c->nbs  = a->nbs;
2150 
2151   if  (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
2152     c->imax           = a->imax;
2153     c->ilen           = a->ilen;
2154     c->free_imax_ilen = PETSC_FALSE;
2155   } else {
2156     ierr = PetscMalloc2((mbs+1),PetscInt,&c->imax,(mbs+1),PetscInt,&c->ilen);CHKERRQ(ierr);
2157     ierr = PetscLogObjectMemory(C,2*(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
2158     for (i=0; i<mbs; i++) {
2159       c->imax[i] = a->imax[i];
2160       c->ilen[i] = a->ilen[i];
2161     }
2162     c->free_imax_ilen = PETSC_TRUE;
2163   }
2164 
2165   /* allocate the matrix space */
2166   if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
2167     ierr = PetscMalloc(bs2*nz*sizeof(MatScalar),&c->a);CHKERRQ(ierr);
2168     ierr = PetscLogObjectMemory(C,nz*bs2*sizeof(MatScalar));CHKERRQ(ierr);
2169     c->singlemalloc = PETSC_FALSE;
2170     c->free_ij      = PETSC_FALSE;
2171     c->parent       = A;
2172     ierr            = PetscObjectReference((PetscObject)A);CHKERRQ(ierr);
2173     ierr            = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
2174     ierr            = MatSetOption(C,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
2175   } else {
2176     ierr = PetscMalloc3(bs2*nz,MatScalar,&c->a,nz,PetscInt,&c->j,mbs+1,PetscInt,&c->i);CHKERRQ(ierr);
2177     ierr = PetscMemcpy(c->i,a->i,(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
2178     ierr = PetscLogObjectMemory(C,(mbs+1)*sizeof(PetscInt) + nz*(bs2*sizeof(MatScalar) + sizeof(PetscInt)));CHKERRQ(ierr);
2179     c->singlemalloc = PETSC_TRUE;
2180     c->free_ij      = PETSC_TRUE;
2181   }
2182   if (mbs > 0) {
2183     if (cpvalues != MAT_SHARE_NONZERO_PATTERN) {
2184       ierr = PetscMemcpy(c->j,a->j,nz*sizeof(PetscInt));CHKERRQ(ierr);
2185     }
2186     if (cpvalues == MAT_COPY_VALUES) {
2187       ierr = PetscMemcpy(c->a,a->a,bs2*nz*sizeof(MatScalar));CHKERRQ(ierr);
2188     } else {
2189       ierr = PetscMemzero(c->a,bs2*nz*sizeof(MatScalar));CHKERRQ(ierr);
2190     }
2191     if (a->jshort) {
2192       if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
2193         c->jshort      = a->jshort;
2194         c->free_jshort = PETSC_FALSE;
2195       } else {
2196         ierr = PetscMalloc(nz*sizeof(unsigned short),&c->jshort);CHKERRQ(ierr);
2197         ierr = PetscLogObjectMemory(C,nz*sizeof(unsigned short));CHKERRQ(ierr);
2198         ierr = PetscMemcpy(c->jshort,a->jshort,nz*sizeof(unsigned short));CHKERRQ(ierr);
2199         c->free_jshort = PETSC_TRUE;
2200       }
2201     }
2202   }
2203 
2204   c->roworiented = a->roworiented;
2205   c->nonew       = a->nonew;
2206 
2207   if (a->diag) {
2208     if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
2209       c->diag      = a->diag;
2210       c->free_diag = PETSC_FALSE;
2211     } else {
2212       ierr = PetscMalloc(mbs*sizeof(PetscInt),&c->diag);CHKERRQ(ierr);
2213       ierr = PetscLogObjectMemory(C,mbs*sizeof(PetscInt));CHKERRQ(ierr);
2214       for (i=0; i<mbs; i++) {
2215 	c->diag[i] = a->diag[i];
2216       }
2217       c->free_diag = PETSC_TRUE;
2218     }
2219   } else c->diag  = 0;
2220   c->nz           = a->nz;
2221   c->maxnz        = a->nz; /* Since we allocate exactly the right amount */
2222   c->solve_work   = 0;
2223   c->mult_work    = 0;
2224   c->free_a       = PETSC_TRUE;
2225   *B = C;
2226   ierr = PetscFListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
2227   PetscFunctionReturn(0);
2228 }
2229 
2230 #undef __FUNCT__
2231 #define __FUNCT__ "MatLoad_SeqSBAIJ"
2232 PetscErrorCode MatLoad_SeqSBAIJ(Mat newmat,PetscViewer viewer)
2233 {
2234   Mat_SeqSBAIJ   *a;
2235   PetscErrorCode ierr;
2236   int            fd;
2237   PetscMPIInt    size;
2238   PetscInt       i,nz,header[4],*rowlengths=0,M,N,bs=1;
2239   PetscInt       *mask,mbs,*jj,j,rowcount,nzcount,k,*s_browlengths,maskcount;
2240   PetscInt       kmax,jcount,block,idx,point,nzcountb,extra_rows,rows,cols;
2241   PetscInt       *masked,nmask,tmp,bs2,ishift;
2242   PetscScalar    *aa;
2243   MPI_Comm       comm = ((PetscObject)viewer)->comm;
2244 
2245   PetscFunctionBegin;
2246   ierr = PetscOptionsGetInt(PETSC_NULL,"-matload_block_size",&bs,PETSC_NULL);CHKERRQ(ierr);
2247   bs2  = bs*bs;
2248 
2249   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2250   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"view must have one processor");
2251   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
2252   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
2253   if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not Mat object");
2254   M = header[1]; N = header[2]; nz = header[3];
2255 
2256   if (header[3] < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as SeqSBAIJ");
2257 
2258   if (M != N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Can only do square matrices");
2259 
2260   /*
2261      This code adds extra rows to make sure the number of rows is
2262     divisible by the blocksize
2263   */
2264   mbs        = M/bs;
2265   extra_rows = bs - M + bs*(mbs);
2266   if (extra_rows == bs) extra_rows = 0;
2267   else                  mbs++;
2268   if (extra_rows) {
2269     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
2270   }
2271 
2272   /* Set global sizes if not already set */
2273   if (newmat->rmap->n < 0 && newmat->rmap->N < 0 && newmat->cmap->n < 0 && newmat->cmap->N < 0) {
2274     ierr = MatSetSizes(newmat,PETSC_DECIDE,PETSC_DECIDE,M+extra_rows,N+extra_rows);CHKERRQ(ierr);
2275   } else { /* Check if the matrix global sizes are correct */
2276     ierr = MatGetSize(newmat,&rows,&cols);CHKERRQ(ierr);
2277     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);
2278   }
2279 
2280   /* read in row lengths */
2281   ierr = PetscMalloc((M+extra_rows)*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
2282   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
2283   for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
2284 
2285   /* read in column indices */
2286   ierr = PetscMalloc((nz+extra_rows)*sizeof(PetscInt),&jj);CHKERRQ(ierr);
2287   ierr = PetscBinaryRead(fd,jj,nz,PETSC_INT);CHKERRQ(ierr);
2288   for (i=0; i<extra_rows; i++) jj[nz+i] = M+i;
2289 
2290   /* loop over row lengths determining block row lengths */
2291   ierr     = PetscMalloc(mbs*sizeof(PetscInt),&s_browlengths);CHKERRQ(ierr);
2292   ierr     = PetscMemzero(s_browlengths,mbs*sizeof(PetscInt));CHKERRQ(ierr);
2293   ierr     = PetscMalloc2(mbs,PetscInt,&mask,mbs,PetscInt,&masked);CHKERRQ(ierr);
2294   ierr     = PetscMemzero(mask,mbs*sizeof(PetscInt));CHKERRQ(ierr);
2295   rowcount = 0;
2296   nzcount  = 0;
2297   for (i=0; i<mbs; i++) {
2298     nmask = 0;
2299     for (j=0; j<bs; j++) {
2300       kmax = rowlengths[rowcount];
2301       for (k=0; k<kmax; k++) {
2302         tmp = jj[nzcount++]/bs;   /* block col. index */
2303         if (!mask[tmp] && tmp >= i) {masked[nmask++] = tmp; mask[tmp] = 1;}
2304       }
2305       rowcount++;
2306     }
2307     s_browlengths[i] += nmask;
2308 
2309     /* zero out the mask elements we set */
2310     for (j=0; j<nmask; j++) mask[masked[j]] = 0;
2311   }
2312 
2313   /* Do preallocation */
2314   ierr = MatSeqSBAIJSetPreallocation_SeqSBAIJ(newmat,bs,0,s_browlengths);CHKERRQ(ierr);
2315   a = (Mat_SeqSBAIJ*)newmat->data;
2316 
2317   /* set matrix "i" values */
2318   a->i[0] = 0;
2319   for (i=1; i<= mbs; i++) {
2320     a->i[i]      = a->i[i-1] + s_browlengths[i-1];
2321     a->ilen[i-1] = s_browlengths[i-1];
2322   }
2323   a->nz = a->i[mbs];
2324 
2325   /* read in nonzero values */
2326   ierr = PetscMalloc((nz+extra_rows)*sizeof(PetscScalar),&aa);CHKERRQ(ierr);
2327   ierr = PetscBinaryRead(fd,aa,nz,PETSC_SCALAR);CHKERRQ(ierr);
2328   for (i=0; i<extra_rows; i++) aa[nz+i] = 1.0;
2329 
2330   /* set "a" and "j" values into matrix */
2331   nzcount = 0; jcount = 0;
2332   for (i=0; i<mbs; i++) {
2333     nzcountb = nzcount;
2334     nmask    = 0;
2335     for (j=0; j<bs; j++) {
2336       kmax = rowlengths[i*bs+j];
2337       for (k=0; k<kmax; k++) {
2338         tmp = jj[nzcount++]/bs; /* block col. index */
2339         if (!mask[tmp] && tmp >= i) { masked[nmask++] = tmp; mask[tmp] = 1;}
2340       }
2341     }
2342     /* sort the masked values */
2343     ierr = PetscSortInt(nmask,masked);CHKERRQ(ierr);
2344 
2345     /* set "j" values into matrix */
2346     maskcount = 1;
2347     for (j=0; j<nmask; j++) {
2348       a->j[jcount++]  = masked[j];
2349       mask[masked[j]] = maskcount++;
2350     }
2351 
2352     /* set "a" values into matrix */
2353     ishift = bs2*a->i[i];
2354     for (j=0; j<bs; j++) {
2355       kmax = rowlengths[i*bs+j];
2356       for (k=0; k<kmax; k++) {
2357         tmp       = jj[nzcountb]/bs ; /* block col. index */
2358         if (tmp >= i){
2359           block     = mask[tmp] - 1;
2360           point     = jj[nzcountb] - bs*tmp;
2361           idx       = ishift + bs2*block + j + bs*point;
2362           a->a[idx] = aa[nzcountb];
2363         }
2364         nzcountb++;
2365       }
2366     }
2367     /* zero out the mask elements we set */
2368     for (j=0; j<nmask; j++) mask[masked[j]] = 0;
2369   }
2370   if (jcount != a->nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Bad binary matrix");
2371 
2372   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
2373   ierr = PetscFree(s_browlengths);CHKERRQ(ierr);
2374   ierr = PetscFree(aa);CHKERRQ(ierr);
2375   ierr = PetscFree(jj);CHKERRQ(ierr);
2376   ierr = PetscFree2(mask,masked);CHKERRQ(ierr);
2377 
2378   ierr = MatAssemblyBegin(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2379   ierr = MatAssemblyEnd(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2380   ierr = MatView_Private(newmat);CHKERRQ(ierr);
2381   PetscFunctionReturn(0);
2382 }
2383 
2384 #undef __FUNCT__
2385 #define __FUNCT__ "MatCreateSeqSBAIJWithArrays"
2386 /*@
2387      MatCreateSeqSBAIJWithArrays - Creates an sequential SBAIJ matrix using matrix elements
2388               (upper triangular entries in CSR format) provided by the user.
2389 
2390      Collective on MPI_Comm
2391 
2392    Input Parameters:
2393 +  comm - must be an MPI communicator of size 1
2394 .  bs - size of block
2395 .  m - number of rows
2396 .  n - number of columns
2397 .  i - row indices
2398 .  j - column indices
2399 -  a - matrix values
2400 
2401    Output Parameter:
2402 .  mat - the matrix
2403 
2404    Level: advanced
2405 
2406    Notes:
2407        The i, j, and a arrays are not copied by this routine, the user must free these arrays
2408     once the matrix is destroyed
2409 
2410        You cannot set new nonzero locations into this matrix, that will generate an error.
2411 
2412        The i and j indices are 0 based
2413 
2414        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
2415        it is the regular CSR format excluding the lower triangular elements.
2416 
2417 .seealso: MatCreate(), MatCreateMPISBAIJ(), MatCreateSeqSBAIJ()
2418 
2419 @*/
2420 PetscErrorCode  MatCreateSeqSBAIJWithArrays(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt* i,PetscInt*j,PetscScalar *a,Mat *mat)
2421 {
2422   PetscErrorCode ierr;
2423   PetscInt       ii;
2424   Mat_SeqSBAIJ   *sbaij;
2425 
2426   PetscFunctionBegin;
2427   if (bs != 1) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"block size %D > 1 is not supported yet",bs);
2428   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
2429 
2430   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
2431   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
2432   ierr = MatSetType(*mat,MATSEQSBAIJ);CHKERRQ(ierr);
2433   ierr = MatSeqSBAIJSetPreallocation_SeqSBAIJ(*mat,bs,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
2434   sbaij = (Mat_SeqSBAIJ*)(*mat)->data;
2435   ierr = PetscMalloc2(m,PetscInt,&sbaij->imax,m,PetscInt,&sbaij->ilen);CHKERRQ(ierr);
2436   ierr = PetscLogObjectMemory(*mat,2*m*sizeof(PetscInt));CHKERRQ(ierr);
2437 
2438   sbaij->i = i;
2439   sbaij->j = j;
2440   sbaij->a = a;
2441   sbaij->singlemalloc = PETSC_FALSE;
2442   sbaij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
2443   sbaij->free_a       = PETSC_FALSE;
2444   sbaij->free_ij      = PETSC_FALSE;
2445 
2446   for (ii=0; ii<m; ii++) {
2447     sbaij->ilen[ii] = sbaij->imax[ii] = i[ii+1] - i[ii];
2448 #if defined(PETSC_USE_DEBUG)
2449     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]);
2450 #endif
2451   }
2452 #if defined(PETSC_USE_DEBUG)
2453   for (ii=0; ii<sbaij->i[m]; ii++) {
2454     if (j[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %d index = %d",ii,j[ii]);
2455     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]);
2456   }
2457 #endif
2458 
2459   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2460   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2461   PetscFunctionReturn(0);
2462 }
2463 
2464 
2465 
2466 
2467 
2468