xref: /petsc/src/mat/impls/sbaij/seq/sbaij.c (revision a617505687127600a4a515cb47d9e60889c09ca3)
1 /*$Id: sbaij.c,v 1.62 2001/08/07 03:03:01 balay Exp $*/
2 
3 /*
4     Defines the basic matrix operations for the SBAIJ (compressed row)
5   matrix storage format.
6 */
7 #include "src/mat/impls/baij/seq/baij.h"         /*I "petscmat.h" I*/
8 #include "src/vec/vecimpl.h"
9 #include "src/inline/spops.h"
10 #include "src/mat/impls/sbaij/seq/sbaij.h"
11 
12 #define CHUNKSIZE  10
13 
14 /*
15      Checks for missing diagonals
16 */
17 #undef __FUNCT__
18 #define __FUNCT__ "MatMissingDiagonal_SeqSBAIJ"
19 int MatMissingDiagonal_SeqSBAIJ(Mat A)
20 {
21   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
22   int         *diag,*jj = a->j,i,ierr;
23 
24   PetscFunctionBegin;
25   ierr = MatMarkDiagonal_SeqSBAIJ(A);CHKERRQ(ierr);
26   diag = a->diag;
27   for (i=0; i<a->mbs; i++) {
28     if (jj[diag[i]] != i) SETERRQ1(1,"Matrix is missing diagonal number %d",i);
29   }
30   PetscFunctionReturn(0);
31 }
32 
33 #undef __FUNCT__
34 #define __FUNCT__ "MatMarkDiagonal_SeqSBAIJ"
35 int MatMarkDiagonal_SeqSBAIJ(Mat A)
36 {
37   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
38   int          i,mbs = a->mbs,ierr;
39 
40   PetscFunctionBegin;
41   if (a->diag) PetscFunctionReturn(0);
42 
43   ierr = PetscMalloc((mbs+1)*sizeof(int),&a->diag);CHKERRQ(ierr);
44   PetscLogObjectMemory(A,(mbs+1)*sizeof(int));
45   for (i=0; i<mbs; i++) a->diag[i] = a->i[i];
46   PetscFunctionReturn(0);
47 }
48 
49 #undef __FUNCT__
50 #define __FUNCT__ "MatGetRowIJ_SeqSBAIJ"
51 static int MatGetRowIJ_SeqSBAIJ(Mat A,int oshift,PetscTruth symmetric,int *nn,int **ia,int **ja,PetscTruth *done)
52 {
53   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
54   int         n = a->mbs,i;
55 
56   PetscFunctionBegin;
57   *nn = n;
58   if (!ia) PetscFunctionReturn(0);
59 
60   if (oshift == 1) {
61     /* temporarily add 1 to i and j indices */
62     int s_nz = a->i[n];
63     for (i=0; i<s_nz; i++) a->j[i]++;
64     for (i=0; i<n+1; i++) a->i[i]++;
65     *ia = a->i; *ja = a->j;
66   } else {
67     *ia = a->i; *ja = a->j;
68   }
69   PetscFunctionReturn(0);
70 }
71 
72 #undef __FUNCT__
73 #define __FUNCT__ "MatRestoreRowIJ_SeqSBAIJ"
74 static int MatRestoreRowIJ_SeqSBAIJ(Mat A,int oshift,PetscTruth symmetric,int *nn,int **ia,int **ja,PetscTruth *done)
75 {
76   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
77   int         i,n = a->mbs;
78 
79   PetscFunctionBegin;
80   if (!ia) PetscFunctionReturn(0);
81 
82   if (oshift == 1) {
83     int s_nz = a->i[n]-1;
84     for (i=0; i<s_nz; i++) a->j[i]--;
85     for (i=0; i<n+1; i++) a->i[i]--;
86   }
87   PetscFunctionReturn(0);
88 }
89 
90 #undef __FUNCT__
91 #define __FUNCT__ "MatGetBlockSize_SeqSBAIJ"
92 int MatGetBlockSize_SeqSBAIJ(Mat mat,int *bs)
93 {
94   Mat_SeqSBAIJ *sbaij = (Mat_SeqSBAIJ*)mat->data;
95 
96   PetscFunctionBegin;
97   *bs = sbaij->bs;
98   PetscFunctionReturn(0);
99 }
100 
101 #undef __FUNCT__
102 #define __FUNCT__ "MatDestroy_SeqSBAIJ"
103 int MatDestroy_SeqSBAIJ(Mat A)
104 {
105   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
106   int         ierr;
107 
108   PetscFunctionBegin;
109 #if defined(PETSC_USE_LOG)
110   PetscLogObjectState((PetscObject)A,"Rows=%d, s_NZ=%d",A->m,a->s_nz);
111 #endif
112   ierr = PetscFree(a->a);CHKERRQ(ierr);
113   if (!a->singlemalloc) {
114     ierr = PetscFree(a->i);CHKERRQ(ierr);
115     ierr = PetscFree(a->j);CHKERRQ(ierr);
116   }
117   if (a->row) {
118     ierr = ISDestroy(a->row);CHKERRQ(ierr);
119   }
120   if (a->diag) {ierr = PetscFree(a->diag);CHKERRQ(ierr);}
121   if (a->ilen) {ierr = PetscFree(a->ilen);CHKERRQ(ierr);}
122   if (a->imax) {ierr = PetscFree(a->imax);CHKERRQ(ierr);}
123   if (a->icol) {ierr = ISDestroy(a->icol);CHKERRQ(ierr);}
124   if (a->solve_work)  {ierr = PetscFree(a->solve_work);CHKERRQ(ierr);}
125   if (a->solves_work) {ierr = PetscFree(a->solves_work);CHKERRQ(ierr);}
126   if (a->mult_work)   {ierr = PetscFree(a->mult_work);CHKERRQ(ierr);}
127   if (a->saved_values) {ierr = PetscFree(a->saved_values);CHKERRQ(ierr);}
128 
129   if (a->inew){
130     ierr = PetscFree(a->inew);CHKERRQ(ierr);
131     a->inew = 0;
132   }
133   ierr = PetscFree(a);CHKERRQ(ierr);
134   PetscFunctionReturn(0);
135 }
136 
137 #undef __FUNCT__
138 #define __FUNCT__ "MatSetOption_SeqSBAIJ"
139 int MatSetOption_SeqSBAIJ(Mat A,MatOption op)
140 {
141   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
142 
143   PetscFunctionBegin;
144   switch (op) {
145   case MAT_ROW_ORIENTED:
146     a->roworiented    = PETSC_TRUE;
147     break;
148   case MAT_COLUMN_ORIENTED:
149     a->roworiented    = PETSC_FALSE;
150     break;
151   case MAT_COLUMNS_SORTED:
152     a->sorted         = PETSC_TRUE;
153     break;
154   case MAT_COLUMNS_UNSORTED:
155     a->sorted         = PETSC_FALSE;
156     break;
157   case MAT_KEEP_ZEROED_ROWS:
158     a->keepzeroedrows = PETSC_TRUE;
159     break;
160   case MAT_NO_NEW_NONZERO_LOCATIONS:
161     a->nonew          = 1;
162     break;
163   case MAT_NEW_NONZERO_LOCATION_ERR:
164     a->nonew          = -1;
165     break;
166   case MAT_NEW_NONZERO_ALLOCATION_ERR:
167     a->nonew          = -2;
168     break;
169   case MAT_YES_NEW_NONZERO_LOCATIONS:
170     a->nonew          = 0;
171     break;
172   case MAT_ROWS_SORTED:
173   case MAT_ROWS_UNSORTED:
174   case MAT_YES_NEW_DIAGONALS:
175   case MAT_IGNORE_OFF_PROC_ENTRIES:
176   case MAT_USE_HASH_TABLE:
177   case MAT_USE_SINGLE_PRECISION_SOLVES:
178     PetscLogInfo(A,"MatSetOption_SeqSBAIJ:Option ignored\n");
179     break;
180   case MAT_NO_NEW_DIAGONALS:
181     SETERRQ(PETSC_ERR_SUP,"MAT_NO_NEW_DIAGONALS");
182   default:
183     SETERRQ(PETSC_ERR_SUP,"unknown option");
184   }
185   PetscFunctionReturn(0);
186 }
187 
188 #undef __FUNCT__
189 #define __FUNCT__ "MatGetRow_SeqSBAIJ"
190 int MatGetRow_SeqSBAIJ(Mat A,int row,int *ncols,int **cols,PetscScalar **v)
191 {
192   Mat_SeqSBAIJ  *a = (Mat_SeqSBAIJ*)A->data;
193   int          itmp,i,j,k,M,*ai,*aj,bs,bn,bp,*cols_i,bs2,ierr;
194   MatScalar    *aa,*aa_i;
195   PetscScalar  *v_i;
196 
197   PetscFunctionBegin;
198   bs  = a->bs;
199   ai  = a->i;
200   aj  = a->j;
201   aa  = a->a;
202   bs2 = a->bs2;
203 
204   if (row < 0 || row >= A->m) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Row out of range");
205 
206   bn  = row/bs;   /* Block number */
207   bp  = row % bs; /* Block position */
208   M   = ai[bn+1] - ai[bn];
209   *ncols = bs*M;
210 
211   if (v) {
212     *v = 0;
213     if (*ncols) {
214       ierr = PetscMalloc((*ncols+row)*sizeof(PetscScalar),v);CHKERRQ(ierr);
215       for (i=0; i<M; i++) { /* for each block in the block row */
216         v_i  = *v + i*bs;
217         aa_i = aa + bs2*(ai[bn] + i);
218         for (j=bp,k=0; j<bs2; j+=bs,k++) {v_i[k] = aa_i[j];}
219       }
220     }
221   }
222 
223   if (cols) {
224     *cols = 0;
225     if (*ncols) {
226       ierr = PetscMalloc((*ncols+row)*sizeof(int),cols);CHKERRQ(ierr);
227       for (i=0; i<M; i++) { /* for each block in the block row */
228         cols_i = *cols + i*bs;
229         itmp  = bs*aj[ai[bn] + i];
230         for (j=0; j<bs; j++) {cols_i[j] = itmp++;}
231       }
232     }
233   }
234 
235   /*search column A(0:row-1,row) (=A(row,0:row-1)). Could be expensive! */
236   /* this segment is currently removed, so only entries in the upper triangle are obtained */
237 #ifdef column_search
238   v_i    = *v    + M*bs;
239   cols_i = *cols + M*bs;
240   for (i=0; i<bn; i++){ /* for each block row */
241     M = ai[i+1] - ai[i];
242     for (j=0; j<M; j++){
243       itmp = aj[ai[i] + j];    /* block column value */
244       if (itmp == bn){
245         aa_i   = aa    + bs2*(ai[i] + j) + bs*bp;
246         for (k=0; k<bs; k++) {
247           *cols_i++ = i*bs+k;
248           *v_i++    = aa_i[k];
249         }
250         *ncols += bs;
251         break;
252       }
253     }
254   }
255 #endif
256 
257   PetscFunctionReturn(0);
258 }
259 
260 #undef __FUNCT__
261 #define __FUNCT__ "MatRestoreRow_SeqSBAIJ"
262 int MatRestoreRow_SeqSBAIJ(Mat A,int row,int *nz,int **idx,PetscScalar **v)
263 {
264   int ierr;
265 
266   PetscFunctionBegin;
267   if (idx) {if (*idx) {ierr = PetscFree(*idx);CHKERRQ(ierr);}}
268   if (v)   {if (*v)   {ierr = PetscFree(*v);CHKERRQ(ierr);}}
269   PetscFunctionReturn(0);
270 }
271 
272 #undef __FUNCT__
273 #define __FUNCT__ "MatTranspose_SeqSBAIJ"
274 int MatTranspose_SeqSBAIJ(Mat A,Mat *B)
275 {
276   int ierr;
277   PetscFunctionBegin;
278   ierr = MatDuplicate(A,MAT_COPY_VALUES,B);CHKERRQ(ierr);
279   PetscFunctionReturn(0);
280 }
281 
282 #undef __FUNCT__
283 #define __FUNCT__ "MatView_SeqSBAIJ_Binary"
284 static int MatView_SeqSBAIJ_Binary(Mat A,PetscViewer viewer)
285 {
286   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
287   int          i,fd,*col_lens,ierr,bs = a->bs,count,*jj,j,k,l,bs2=a->bs2;
288   PetscScalar  *aa;
289   FILE         *file;
290 
291   PetscFunctionBegin;
292   ierr        = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
293   ierr        = PetscMalloc((4+A->m)*sizeof(int),&col_lens);CHKERRQ(ierr);
294   col_lens[0] = MAT_FILE_COOKIE;
295 
296   col_lens[1] = A->m;
297   col_lens[2] = A->m;
298   col_lens[3] = a->s_nz*bs2;
299 
300   /* store lengths of each row and write (including header) to file */
301   count = 0;
302   for (i=0; i<a->mbs; i++) {
303     for (j=0; j<bs; j++) {
304       col_lens[4+count++] = bs*(a->i[i+1] - a->i[i]);
305     }
306   }
307   ierr = PetscBinaryWrite(fd,col_lens,4+A->m,PETSC_INT,1);CHKERRQ(ierr);
308   ierr = PetscFree(col_lens);CHKERRQ(ierr);
309 
310   /* store column indices (zero start index) */
311   ierr  = PetscMalloc((a->s_nz+1)*bs2*sizeof(int),&jj);CHKERRQ(ierr);
312   count = 0;
313   for (i=0; i<a->mbs; i++) {
314     for (j=0; j<bs; j++) {
315       for (k=a->i[i]; k<a->i[i+1]; k++) {
316         for (l=0; l<bs; l++) {
317           jj[count++] = bs*a->j[k] + l;
318         }
319       }
320     }
321   }
322   ierr = PetscBinaryWrite(fd,jj,bs2*a->s_nz,PETSC_INT,0);CHKERRQ(ierr);
323   ierr = PetscFree(jj);CHKERRQ(ierr);
324 
325   /* store nonzero values */
326   ierr  = PetscMalloc((a->s_nz+1)*bs2*sizeof(PetscScalar),&aa);CHKERRQ(ierr);
327   count = 0;
328   for (i=0; i<a->mbs; i++) {
329     for (j=0; j<bs; j++) {
330       for (k=a->i[i]; k<a->i[i+1]; k++) {
331         for (l=0; l<bs; l++) {
332           aa[count++] = a->a[bs2*k + l*bs + j];
333         }
334       }
335     }
336   }
337   ierr = PetscBinaryWrite(fd,aa,bs2*a->s_nz,PETSC_SCALAR,0);CHKERRQ(ierr);
338   ierr = PetscFree(aa);CHKERRQ(ierr);
339 
340   ierr = PetscViewerBinaryGetInfoPointer(viewer,&file);CHKERRQ(ierr);
341   if (file) {
342     fprintf(file,"-matload_block_size %d\n",a->bs);
343   }
344   PetscFunctionReturn(0);
345 }
346 
347 #undef __FUNCT__
348 #define __FUNCT__ "MatView_SeqSBAIJ_ASCII"
349 static int MatView_SeqSBAIJ_ASCII(Mat A,PetscViewer viewer)
350 {
351   Mat_SeqSBAIJ      *a = (Mat_SeqSBAIJ*)A->data;
352   int               ierr,i,j,bs = a->bs,k,l,bs2=a->bs2;
353   char              *name;
354   PetscViewerFormat format;
355 
356   PetscFunctionBegin;
357   ierr = PetscObjectGetName((PetscObject)A,&name);CHKERRQ(ierr);
358   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
359   if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
360     ierr = PetscViewerASCIIPrintf(viewer,"  block size is %d\n",bs);CHKERRQ(ierr);
361   } else if (format == PETSC_VIEWER_ASCII_MATLAB) {
362     SETERRQ(PETSC_ERR_SUP,"Matlab format not supported");
363   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
364     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
365     for (i=0; i<a->mbs; i++) {
366       for (j=0; j<bs; j++) {
367         ierr = PetscViewerASCIIPrintf(viewer,"row %d:",i*bs+j);CHKERRQ(ierr);
368         for (k=a->i[i]; k<a->i[i+1]; k++) {
369           for (l=0; l<bs; l++) {
370 #if defined(PETSC_USE_COMPLEX)
371             if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) > 0.0 && PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
372               ierr = PetscViewerASCIIPrintf(viewer," (%d, %g + %g i) ",bs*a->j[k]+l,
373                       PetscRealPart(a->a[bs2*k + l*bs + j]),PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
374             } else if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) < 0.0 && PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
375               ierr = PetscViewerASCIIPrintf(viewer," (%d, %g - %g i) ",bs*a->j[k]+l,
376                       PetscRealPart(a->a[bs2*k + l*bs + j]),-PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
377             } else if (PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
378               ierr = PetscViewerASCIIPrintf(viewer," (%d, %g) ",bs*a->j[k]+l,PetscRealPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
379             }
380 #else
381             if (a->a[bs2*k + l*bs + j] != 0.0) {
382               ierr = PetscViewerASCIIPrintf(viewer," (%d, %g) ",bs*a->j[k]+l,a->a[bs2*k + l*bs + j]);CHKERRQ(ierr);
383             }
384 #endif
385           }
386         }
387         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
388       }
389     }
390     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
391   } else {
392     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
393     for (i=0; i<a->mbs; i++) {
394       for (j=0; j<bs; j++) {
395         ierr = PetscViewerASCIIPrintf(viewer,"row %d:",i*bs+j);CHKERRQ(ierr);
396         for (k=a->i[i]; k<a->i[i+1]; k++) {
397           for (l=0; l<bs; l++) {
398 #if defined(PETSC_USE_COMPLEX)
399             if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) > 0.0) {
400               ierr = PetscViewerASCIIPrintf(viewer," (%d, %g + %g i) ",bs*a->j[k]+l,
401                 PetscRealPart(a->a[bs2*k + l*bs + j]),PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
402             } else if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) < 0.0) {
403               ierr = PetscViewerASCIIPrintf(viewer," (%d, %g - %g i) ",bs*a->j[k]+l,
404                 PetscRealPart(a->a[bs2*k + l*bs + j]),-PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
405             } else {
406               ierr = PetscViewerASCIIPrintf(viewer," (%d, %g) ",bs*a->j[k]+l,PetscRealPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
407             }
408 #else
409             ierr = PetscViewerASCIIPrintf(viewer," %d %g ",bs*a->j[k]+l,a->a[bs2*k + l*bs + j]);CHKERRQ(ierr);
410 #endif
411           }
412         }
413         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
414       }
415     }
416     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
417   }
418   ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
419   PetscFunctionReturn(0);
420 }
421 
422 #undef __FUNCT__
423 #define __FUNCT__ "MatView_SeqSBAIJ_Draw_Zoom"
424 static int MatView_SeqSBAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
425 {
426   Mat          A = (Mat) Aa;
427   Mat_SeqSBAIJ *a=(Mat_SeqSBAIJ*)A->data;
428   int          row,ierr,i,j,k,l,mbs=a->mbs,color,bs=a->bs,bs2=a->bs2,rank;
429   PetscReal    xl,yl,xr,yr,x_l,x_r,y_l,y_r;
430   MatScalar    *aa;
431   MPI_Comm     comm;
432   PetscViewer  viewer;
433 
434   PetscFunctionBegin;
435   /*
436       This is nasty. If this is called from an originally parallel matrix
437    then all processes call this,but only the first has the matrix so the
438    rest should return immediately.
439   */
440   ierr = PetscObjectGetComm((PetscObject)draw,&comm);CHKERRQ(ierr);
441   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
442   if (rank) PetscFunctionReturn(0);
443 
444   ierr = PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer);CHKERRQ(ierr);
445 
446   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
447   PetscDrawString(draw, .3*(xl+xr), .3*(yl+yr), PETSC_DRAW_BLACK, "symmetric");
448 
449   /* loop over matrix elements drawing boxes */
450   color = PETSC_DRAW_BLUE;
451   for (i=0,row=0; i<mbs; i++,row+=bs) {
452     for (j=a->i[i]; j<a->i[i+1]; j++) {
453       y_l = A->m - row - 1.0; y_r = y_l + 1.0;
454       x_l = a->j[j]*bs; x_r = x_l + 1.0;
455       aa = a->a + j*bs2;
456       for (k=0; k<bs; k++) {
457         for (l=0; l<bs; l++) {
458           if (PetscRealPart(*aa++) >=  0.) continue;
459           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
460         }
461       }
462     }
463   }
464   color = PETSC_DRAW_CYAN;
465   for (i=0,row=0; i<mbs; i++,row+=bs) {
466     for (j=a->i[i]; j<a->i[i+1]; j++) {
467       y_l = A->m - row - 1.0; y_r = y_l + 1.0;
468       x_l = a->j[j]*bs; x_r = x_l + 1.0;
469       aa = a->a + j*bs2;
470       for (k=0; k<bs; k++) {
471         for (l=0; l<bs; l++) {
472           if (PetscRealPart(*aa++) != 0.) continue;
473           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
474         }
475       }
476     }
477   }
478 
479   color = PETSC_DRAW_RED;
480   for (i=0,row=0; i<mbs; i++,row+=bs) {
481     for (j=a->i[i]; j<a->i[i+1]; j++) {
482       y_l = A->m - row - 1.0; y_r = y_l + 1.0;
483       x_l = a->j[j]*bs; x_r = x_l + 1.0;
484       aa = a->a + j*bs2;
485       for (k=0; k<bs; k++) {
486         for (l=0; l<bs; l++) {
487           if (PetscRealPart(*aa++) <= 0.) continue;
488           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
489         }
490       }
491     }
492   }
493   PetscFunctionReturn(0);
494 }
495 
496 #undef __FUNCT__
497 #define __FUNCT__ "MatView_SeqSBAIJ_Draw"
498 static int MatView_SeqSBAIJ_Draw(Mat A,PetscViewer viewer)
499 {
500   int          ierr;
501   PetscReal    xl,yl,xr,yr,w,h;
502   PetscDraw    draw;
503   PetscTruth   isnull;
504 
505   PetscFunctionBegin;
506 
507   ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
508   ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
509 
510   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer);CHKERRQ(ierr);
511   xr  = A->m; yr = A->m; h = yr/10.0; w = xr/10.0;
512   xr += w;    yr += h;  xl = -w;     yl = -h;
513   ierr = PetscDrawSetCoordinates(draw,xl,yl,xr,yr);CHKERRQ(ierr);
514   ierr = PetscDrawZoom(draw,MatView_SeqSBAIJ_Draw_Zoom,A);CHKERRQ(ierr);
515   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",PETSC_NULL);CHKERRQ(ierr);
516   PetscFunctionReturn(0);
517 }
518 
519 #undef __FUNCT__
520 #define __FUNCT__ "MatView_SeqSBAIJ"
521 int MatView_SeqSBAIJ(Mat A,PetscViewer viewer)
522 {
523   int        ierr;
524   PetscTruth issocket,isascii,isbinary,isdraw;
525 
526   PetscFunctionBegin;
527   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_SOCKET,&issocket);CHKERRQ(ierr);
528   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&isascii);CHKERRQ(ierr);
529   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_BINARY,&isbinary);CHKERRQ(ierr);
530   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_DRAW,&isdraw);CHKERRQ(ierr);
531   if (issocket) {
532     SETERRQ(PETSC_ERR_SUP,"Socket viewer not supported");
533   } else if (isascii){
534     ierr = MatView_SeqSBAIJ_ASCII(A,viewer);CHKERRQ(ierr);
535   } else if (isbinary) {
536     ierr = MatView_SeqSBAIJ_Binary(A,viewer);CHKERRQ(ierr);
537   } else if (isdraw) {
538     ierr = MatView_SeqSBAIJ_Draw(A,viewer);CHKERRQ(ierr);
539   } else {
540     SETERRQ1(1,"Viewer type %s not supported by SeqSBAIJ matrices",((PetscObject)viewer)->type_name);
541   }
542   PetscFunctionReturn(0);
543 }
544 
545 
546 #undef __FUNCT__
547 #define __FUNCT__ "MatGetValues_SeqSBAIJ"
548 int MatGetValues_SeqSBAIJ(Mat A,int m,int *im,int n,int *in,PetscScalar *v)
549 {
550   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
551   int        *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
552   int        *ai = a->i,*ailen = a->ilen;
553   int        brow,bcol,ridx,cidx,bs=a->bs,bs2=a->bs2;
554   MatScalar  *ap,*aa = a->a,zero = 0.0;
555 
556   PetscFunctionBegin;
557   for (k=0; k<m; k++) { /* loop over rows */
558     row  = im[k]; brow = row/bs;
559     if (row < 0) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Negative row");
560     if (row >= A->m) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Row too large");
561     rp   = aj + ai[brow] ; ap = aa + bs2*ai[brow] ;
562     nrow = ailen[brow];
563     for (l=0; l<n; l++) { /* loop over columns */
564       if (in[l] < 0) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Negative column");
565       if (in[l] >= A->n) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Column too large");
566       col  = in[l] ;
567       bcol = col/bs;
568       cidx = col%bs;
569       ridx = row%bs;
570       high = nrow;
571       low  = 0; /* assume unsorted */
572       while (high-low > 5) {
573         t = (low+high)/2;
574         if (rp[t] > bcol) high = t;
575         else             low  = t;
576       }
577       for (i=low; i<high; i++) {
578         if (rp[i] > bcol) break;
579         if (rp[i] == bcol) {
580           *v++ = ap[bs2*i+bs*cidx+ridx];
581           goto finished;
582         }
583       }
584       *v++ = zero;
585       finished:;
586     }
587   }
588   PetscFunctionReturn(0);
589 }
590 
591 
592 #undef __FUNCT__
593 #define __FUNCT__ "MatSetValuesBlocked_SeqSBAIJ"
594 int MatSetValuesBlocked_SeqSBAIJ(Mat A,int m,int *im,int n,int *in,PetscScalar *v,InsertMode is)
595 {
596   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
597   int         *rp,k,low,high,t,ii,jj,row,nrow,i,col,l,rmax,N,sorted=a->sorted;
598   int         *imax=a->imax,*ai=a->i,*ailen=a->ilen;
599   int         *aj=a->j,nonew=a->nonew,bs2=a->bs2,bs=a->bs,stepval,ierr;
600   PetscTruth  roworiented=a->roworiented;
601   MatScalar   *value = v,*ap,*aa = a->a,*bap;
602 
603   PetscFunctionBegin;
604   if (roworiented) {
605     stepval = (n-1)*bs;
606   } else {
607     stepval = (m-1)*bs;
608   }
609   for (k=0; k<m; k++) { /* loop over added rows */
610     row  = im[k];
611     if (row < 0) continue;
612 #if defined(PETSC_USE_BOPT_g)
613     if (row >= a->mbs) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Row too large");
614 #endif
615     rp   = aj + ai[row];
616     ap   = aa + bs2*ai[row];
617     rmax = imax[row];
618     nrow = ailen[row];
619     low  = 0;
620     for (l=0; l<n; l++) { /* loop over added columns */
621       if (in[l] < 0) continue;
622 #if defined(PETSC_USE_BOPT_g)
623       if (in[l] >= a->nbs) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Column too large");
624 #endif
625       col = in[l];
626       if (col < row) continue; /* ignore lower triangular block */
627       if (roworiented) {
628         value = v + k*(stepval+bs)*bs + l*bs;
629       } else {
630         value = v + l*(stepval+bs)*bs + k*bs;
631       }
632       if (!sorted) low = 0; high = nrow;
633       while (high-low > 7) {
634         t = (low+high)/2;
635         if (rp[t] > col) high = t;
636         else             low  = t;
637       }
638       for (i=low; i<high; i++) {
639         if (rp[i] > col) break;
640         if (rp[i] == col) {
641           bap  = ap +  bs2*i;
642           if (roworiented) {
643             if (is == ADD_VALUES) {
644               for (ii=0; ii<bs; ii++,value+=stepval) {
645                 for (jj=ii; jj<bs2; jj+=bs) {
646                   bap[jj] += *value++;
647                 }
648               }
649             } else {
650               for (ii=0; ii<bs; ii++,value+=stepval) {
651                 for (jj=ii; jj<bs2; jj+=bs) {
652                   bap[jj] = *value++;
653                 }
654               }
655             }
656           } else {
657             if (is == ADD_VALUES) {
658               for (ii=0; ii<bs; ii++,value+=stepval) {
659                 for (jj=0; jj<bs; jj++) {
660                   *bap++ += *value++;
661                 }
662               }
663             } else {
664               for (ii=0; ii<bs; ii++,value+=stepval) {
665                 for (jj=0; jj<bs; jj++) {
666                   *bap++  = *value++;
667                 }
668               }
669             }
670           }
671           goto noinsert2;
672         }
673       }
674       if (nonew == 1) goto noinsert2;
675       else if (nonew == -1) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero in the matrix");
676       if (nrow >= rmax) {
677         /* there is no extra room in row, therefore enlarge */
678         int       new_nz = ai[a->mbs] + CHUNKSIZE,len,*new_i,*new_j;
679         MatScalar *new_a;
680 
681         if (nonew == -2) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero in the matrix");
682 
683         /* malloc new storage space */
684         len     = new_nz*(sizeof(int)+bs2*sizeof(MatScalar))+(a->mbs+1)*sizeof(int);
685 	ierr    = PetscMalloc(len,&new_a);CHKERRQ(ierr);
686         new_j   = (int*)(new_a + bs2*new_nz);
687         new_i   = new_j + new_nz;
688 
689         /* copy over old data into new slots */
690         for (ii=0; ii<row+1; ii++) {new_i[ii] = ai[ii];}
691         for (ii=row+1; ii<a->mbs+1; ii++) {new_i[ii] = ai[ii]+CHUNKSIZE;}
692         ierr = PetscMemcpy(new_j,aj,(ai[row]+nrow)*sizeof(int));CHKERRQ(ierr);
693         len  = (new_nz - CHUNKSIZE - ai[row] - nrow);
694         ierr = PetscMemcpy(new_j+ai[row]+nrow+CHUNKSIZE,aj+ai[row]+nrow,len*sizeof(int));CHKERRQ(ierr);
695         ierr = PetscMemcpy(new_a,aa,(ai[row]+nrow)*bs2*sizeof(MatScalar));CHKERRQ(ierr);
696         ierr = PetscMemzero(new_a+bs2*(ai[row]+nrow),bs2*CHUNKSIZE*sizeof(MatScalar));CHKERRQ(ierr);
697         ierr = PetscMemcpy(new_a+bs2*(ai[row]+nrow+CHUNKSIZE),aa+bs2*(ai[row]+nrow),bs2*len*sizeof(MatScalar));CHKERRQ(ierr);
698         /* free up old matrix storage */
699         ierr = PetscFree(a->a);CHKERRQ(ierr);
700         if (!a->singlemalloc) {
701           ierr = PetscFree(a->i);CHKERRQ(ierr);
702           ierr = PetscFree(a->j);CHKERRQ(ierr);
703         }
704         aa = a->a = new_a; ai = a->i = new_i; aj = a->j = new_j;
705         a->singlemalloc = PETSC_TRUE;
706 
707         rp   = aj + ai[row]; ap = aa + bs2*ai[row];
708         rmax = imax[row] = imax[row] + CHUNKSIZE;
709         PetscLogObjectMemory(A,CHUNKSIZE*(sizeof(int) + bs2*sizeof(MatScalar)));
710         a->s_maxnz += bs2*CHUNKSIZE;
711         a->reallocs++;
712         a->s_nz++;
713       }
714       N = nrow++ - 1;
715       /* shift up all the later entries in this row */
716       for (ii=N; ii>=i; ii--) {
717         rp[ii+1] = rp[ii];
718         ierr = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
719       }
720       if (N >= i) {
721         ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
722       }
723       rp[i] = col;
724       bap   = ap +  bs2*i;
725       if (roworiented) {
726         for (ii=0; ii<bs; ii++,value+=stepval) {
727           for (jj=ii; jj<bs2; jj+=bs) {
728             bap[jj] = *value++;
729           }
730         }
731       } else {
732         for (ii=0; ii<bs; ii++,value+=stepval) {
733           for (jj=0; jj<bs; jj++) {
734             *bap++  = *value++;
735           }
736         }
737       }
738       noinsert2:;
739       low = i;
740     }
741     ailen[row] = nrow;
742   }
743   PetscFunctionReturn(0);
744 }
745 
746 #undef __FUNCT__
747 #define __FUNCT__ "MatAssemblyEnd_SeqSBAIJ"
748 int MatAssemblyEnd_SeqSBAIJ(Mat A,MatAssemblyType mode)
749 {
750   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
751   int        fshift = 0,i,j,*ai = a->i,*aj = a->j,*imax = a->imax;
752   int        m = A->m,*ip,N,*ailen = a->ilen;
753   int        mbs = a->mbs,bs2 = a->bs2,rmax = 0,ierr;
754   MatScalar  *aa = a->a,*ap;
755 #if defined(PETSC_HAVE_SPOOLES)
756   PetscTruth   flag;
757 #endif
758 
759   PetscFunctionBegin;
760   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
761 
762   if (m) rmax = ailen[0];
763   for (i=1; i<mbs; i++) {
764     /* move each row back by the amount of empty slots (fshift) before it*/
765     fshift += imax[i-1] - ailen[i-1];
766     rmax   = PetscMax(rmax,ailen[i]);
767     if (fshift) {
768       ip = aj + ai[i]; ap = aa + bs2*ai[i];
769       N = ailen[i];
770       for (j=0; j<N; j++) {
771         ip[j-fshift] = ip[j];
772         ierr = PetscMemcpy(ap+(j-fshift)*bs2,ap+j*bs2,bs2*sizeof(MatScalar));CHKERRQ(ierr);
773       }
774     }
775     ai[i] = ai[i-1] + ailen[i-1];
776   }
777   if (mbs) {
778     fshift += imax[mbs-1] - ailen[mbs-1];
779     ai[mbs] = ai[mbs-1] + ailen[mbs-1];
780   }
781   /* reset ilen and imax for each row */
782   for (i=0; i<mbs; i++) {
783     ailen[i] = imax[i] = ai[i+1] - ai[i];
784   }
785   a->s_nz = ai[mbs];
786 
787   /* diagonals may have moved, reset it */
788   if (a->diag) {
789     ierr = PetscMemcpy(a->diag,ai,(mbs+1)*sizeof(int));CHKERRQ(ierr);
790   }
791   PetscLogInfo(A,"MatAssemblyEnd_SeqSBAIJ:Matrix size: %d X %d, block size %d; storage space: %d unneeded, %d used\n",
792            m,A->m,a->bs,fshift*bs2,a->s_nz*bs2);
793   PetscLogInfo(A,"MatAssemblyEnd_SeqSBAIJ:Number of mallocs during MatSetValues is %d\n",
794            a->reallocs);
795   PetscLogInfo(A,"MatAssemblyEnd_SeqSBAIJ:Most nonzeros blocks in any row is %d\n",rmax);
796   a->reallocs          = 0;
797   A->info.nz_unneeded  = (PetscReal)fshift*bs2;
798 
799 #if defined(PETSC_HAVE_SPOOLES)
800   ierr = PetscOptionsHasName(A->prefix,"-mat_sbaij_spooles",&flag);CHKERRQ(ierr);
801   if (flag) { ierr = MatUseSpooles_SeqSBAIJ(A);CHKERRQ(ierr); }
802 #endif
803 
804   PetscFunctionReturn(0);
805 }
806 
807 /*
808    This function returns an array of flags which indicate the locations of contiguous
809    blocks that should be zeroed. for eg: if bs = 3  and is = [0,1,2,3,5,6,7,8,9]
810    then the resulting sizes = [3,1,1,3,1] correspondig to sets [(0,1,2),(3),(5),(6,7,8),(9)]
811    Assume: sizes should be long enough to hold all the values.
812 */
813 #undef __FUNCT__
814 #define __FUNCT__ "MatZeroRows_SeqSBAIJ_Check_Blocks"
815 int MatZeroRows_SeqSBAIJ_Check_Blocks(int idx[],int n,int bs,int sizes[], int *bs_max)
816 {
817   int        i,j,k,row;
818   PetscTruth flg;
819 
820   PetscFunctionBegin;
821   for (i=0,j=0; i<n; j++) {
822     row = idx[i];
823     if (row%bs!=0) { /* Not the begining of a block */
824       sizes[j] = 1;
825       i++;
826     } else if (i+bs > n) { /* Beginning of a block, but complete block doesn't exist (at idx end) */
827       sizes[j] = 1;         /* Also makes sure atleast 'bs' values exist for next else */
828       i++;
829     } else { /* Begining of the block, so check if the complete block exists */
830       flg = PETSC_TRUE;
831       for (k=1; k<bs; k++) {
832         if (row+k != idx[i+k]) { /* break in the block */
833           flg = PETSC_FALSE;
834           break;
835         }
836       }
837       if (flg == PETSC_TRUE) { /* No break in the bs */
838         sizes[j] = bs;
839         i+= bs;
840       } else {
841         sizes[j] = 1;
842         i++;
843       }
844     }
845   }
846   *bs_max = j;
847   PetscFunctionReturn(0);
848 }
849 
850 #undef __FUNCT__
851 #define __FUNCT__ "MatZeroRows_SeqSBAIJ"
852 int MatZeroRows_SeqSBAIJ(Mat A,IS is,PetscScalar *diag)
853 {
854   PetscFunctionBegin;
855   SETERRQ(PETSC_ERR_SUP,"No support for this function yet");
856 }
857 
858 /* Only add/insert a(i,j) with i<=j (blocks).
859    Any a(i,j) with i>j input by user is ingored.
860 */
861 
862 #undef __FUNCT__
863 #define __FUNCT__ "MatSetValues_SeqSBAIJ"
864 int MatSetValues_SeqSBAIJ(Mat A,int m,int *im,int n,int *in,PetscScalar *v,InsertMode is)
865 {
866   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
867   int         *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N,sorted=a->sorted;
868   int         *imax=a->imax,*ai=a->i,*ailen=a->ilen,roworiented=a->roworiented;
869   int         *aj=a->j,nonew=a->nonew,bs=a->bs,brow,bcol;
870   int         ridx,cidx,bs2=a->bs2,ierr;
871   MatScalar   *ap,value,*aa=a->a,*bap;
872 
873   PetscFunctionBegin;
874 
875   for (k=0; k<m; k++) { /* loop over added rows */
876     row  = im[k];       /* row number */
877     brow = row/bs;      /* block row number */
878     if (row < 0) continue;
879 #if defined(PETSC_USE_BOPT_g)
880     if (row >= A->m) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %d max %d",row,A->m);
881 #endif
882     rp   = aj + ai[brow]; /*ptr to beginning of column value of the row block*/
883     ap   = aa + bs2*ai[brow]; /*ptr to beginning of element value of the row block*/
884     rmax = imax[brow];  /* maximum space allocated for this row */
885     nrow = ailen[brow]; /* actual length of this row */
886     low  = 0;
887 
888     for (l=0; l<n; l++) { /* loop over added columns */
889       if (in[l] < 0) continue;
890 #if defined(PETSC_USE_BOPT_g)
891       if (in[l] >= A->m) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %d max %d",in[l],A->m);
892 #endif
893       col = in[l];
894       bcol = col/bs;              /* block col number */
895 
896       if (brow <= bcol){
897         ridx = row % bs; cidx = col % bs; /*row and col index inside the block */
898         if ((brow==bcol && ridx<=cidx) || (brow<bcol)){
899           /* element value a(k,l) */
900           if (roworiented) {
901             value = v[l + k*n];
902           } else {
903             value = v[k + l*m];
904           }
905 
906           /* move pointer bap to a(k,l) quickly and add/insert value */
907           if (!sorted) low = 0; high = nrow;
908           while (high-low > 7) {
909             t = (low+high)/2;
910             if (rp[t] > bcol) high = t;
911             else              low  = t;
912           }
913           for (i=low; i<high; i++) {
914             /* printf("The loop of i=low.., rp[%d]=%d\n",i,rp[i]); */
915             if (rp[i] > bcol) break;
916             if (rp[i] == bcol) {
917               bap  = ap +  bs2*i + bs*cidx + ridx;
918               if (is == ADD_VALUES) *bap += value;
919               else                  *bap  = value;
920               /* for diag block, add/insert its symmetric element a(cidx,ridx) */
921               if (brow == bcol && ridx < cidx){
922                 bap  = ap +  bs2*i + bs*ridx + cidx;
923                 if (is == ADD_VALUES) *bap += value;
924                 else                  *bap  = value;
925               }
926               goto noinsert1;
927             }
928           }
929 
930       if (nonew == 1) goto noinsert1;
931       else if (nonew == -1) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero in the matrix");
932       if (nrow >= rmax) {
933         /* there is no extra room in row, therefore enlarge */
934         int       new_nz = ai[a->mbs] + CHUNKSIZE,len,*new_i,*new_j;
935         MatScalar *new_a;
936 
937         if (nonew == -2) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero in the matrix");
938 
939         /* Malloc new storage space */
940         len   = new_nz*(sizeof(int)+bs2*sizeof(MatScalar))+(a->mbs+1)*sizeof(int);
941         ierr  = PetscMalloc(len,&new_a);CHKERRQ(ierr);
942         new_j = (int*)(new_a + bs2*new_nz);
943         new_i = new_j + new_nz;
944 
945         /* copy over old data into new slots */
946         for (ii=0; ii<brow+1; ii++) {new_i[ii] = ai[ii];}
947         for (ii=brow+1; ii<a->mbs+1; ii++) {new_i[ii] = ai[ii]+CHUNKSIZE;}
948         ierr = PetscMemcpy(new_j,aj,(ai[brow]+nrow)*sizeof(int));CHKERRQ(ierr);
949         len  = (new_nz - CHUNKSIZE - ai[brow] - nrow);
950         ierr = PetscMemcpy(new_j+ai[brow]+nrow+CHUNKSIZE,aj+ai[brow]+nrow,len*sizeof(int));CHKERRQ(ierr);
951         ierr = PetscMemcpy(new_a,aa,(ai[brow]+nrow)*bs2*sizeof(MatScalar));CHKERRQ(ierr);
952         ierr = PetscMemzero(new_a+bs2*(ai[brow]+nrow),bs2*CHUNKSIZE*sizeof(MatScalar));CHKERRQ(ierr);
953         ierr = PetscMemcpy(new_a+bs2*(ai[brow]+nrow+CHUNKSIZE),aa+bs2*(ai[brow]+nrow),bs2*len*sizeof(MatScalar));CHKERRQ(ierr);
954         /* free up old matrix storage */
955         ierr = PetscFree(a->a);CHKERRQ(ierr);
956         if (!a->singlemalloc) {
957           ierr = PetscFree(a->i);CHKERRQ(ierr);
958           ierr = PetscFree(a->j);CHKERRQ(ierr);
959         }
960         aa = a->a = new_a; ai = a->i = new_i; aj = a->j = new_j;
961         a->singlemalloc = PETSC_TRUE;
962 
963         rp   = aj + ai[brow]; ap = aa + bs2*ai[brow];
964         rmax = imax[brow] = imax[brow] + CHUNKSIZE;
965         PetscLogObjectMemory(A,CHUNKSIZE*(sizeof(int) + bs2*sizeof(MatScalar)));
966         a->s_maxnz += bs2*CHUNKSIZE;
967         a->reallocs++;
968         a->s_nz++;
969       }
970 
971       N = nrow++ - 1;
972       /* shift up all the later entries in this row */
973       for (ii=N; ii>=i; ii--) {
974         rp[ii+1] = rp[ii];
975         ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
976       }
977       if (N>=i) {
978         ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
979       }
980       rp[i]                      = bcol;
981       ap[bs2*i + bs*cidx + ridx] = value;
982       noinsert1:;
983       low = i;
984       /* } */
985         }
986       } /* end of if .. if..  */
987     }                     /* end of loop over added columns */
988     ailen[brow] = nrow;
989   }                       /* end of loop over added rows */
990 
991   PetscFunctionReturn(0);
992 }
993 
994 extern int MatCholeskyFactorSymbolic_SeqSBAIJ(Mat,IS,PetscReal,Mat*);
995 extern int MatCholeskyFactor_SeqSBAIJ(Mat,IS,PetscReal);
996 extern int MatIncreaseOverlap_SeqSBAIJ(Mat,int,IS*,int);
997 extern int MatGetSubMatrix_SeqSBAIJ(Mat,IS,IS,int,MatReuse,Mat*);
998 extern int MatGetSubMatrices_SeqSBAIJ(Mat,int,IS*,IS*,MatReuse,Mat**);
999 extern int MatMultTranspose_SeqSBAIJ(Mat,Vec,Vec);
1000 extern int MatMultTransposeAdd_SeqSBAIJ(Mat,Vec,Vec,Vec);
1001 extern int MatScale_SeqSBAIJ(PetscScalar*,Mat);
1002 extern int MatNorm_SeqSBAIJ(Mat,NormType,PetscReal *);
1003 extern int MatEqual_SeqSBAIJ(Mat,Mat,PetscTruth*);
1004 extern int MatGetDiagonal_SeqSBAIJ(Mat,Vec);
1005 extern int MatDiagonalScale_SeqSBAIJ(Mat,Vec,Vec);
1006 extern int MatGetInfo_SeqSBAIJ(Mat,MatInfoType,MatInfo *);
1007 extern int MatZeroEntries_SeqSBAIJ(Mat);
1008 extern int MatGetRowMax_SeqSBAIJ(Mat,Vec);
1009 
1010 extern int MatSolve_SeqSBAIJ_N(Mat,Vec,Vec);
1011 extern int MatSolve_SeqSBAIJ_1(Mat,Vec,Vec);
1012 extern int MatSolve_SeqSBAIJ_2(Mat,Vec,Vec);
1013 extern int MatSolve_SeqSBAIJ_3(Mat,Vec,Vec);
1014 extern int MatSolve_SeqSBAIJ_4(Mat,Vec,Vec);
1015 extern int MatSolve_SeqSBAIJ_5(Mat,Vec,Vec);
1016 extern int MatSolve_SeqSBAIJ_6(Mat,Vec,Vec);
1017 extern int MatSolve_SeqSBAIJ_7(Mat,Vec,Vec);
1018 extern int MatSolveTranspose_SeqSBAIJ_7(Mat,Vec,Vec);
1019 extern int MatSolveTranspose_SeqSBAIJ_6(Mat,Vec,Vec);
1020 extern int MatSolveTranspose_SeqSBAIJ_5(Mat,Vec,Vec);
1021 extern int MatSolveTranspose_SeqSBAIJ_4(Mat,Vec,Vec);
1022 extern int MatSolveTranspose_SeqSBAIJ_3(Mat,Vec,Vec);
1023 extern int MatSolveTranspose_SeqSBAIJ_2(Mat,Vec,Vec);
1024 extern int MatSolveTranspose_SeqSBAIJ_1(Mat,Vec,Vec);
1025 
1026 extern int MatSolves_SeqSBAIJ_1(Mat,Vecs,Vecs);
1027 
1028 extern int MatSolve_SeqSBAIJ_1_NaturalOrdering(Mat,Vec,Vec);
1029 extern int MatSolve_SeqSBAIJ_2_NaturalOrdering(Mat,Vec,Vec);
1030 extern int MatSolve_SeqSBAIJ_3_NaturalOrdering(Mat,Vec,Vec);
1031 extern int MatSolve_SeqSBAIJ_4_NaturalOrdering(Mat,Vec,Vec);
1032 extern int MatSolve_SeqSBAIJ_5_NaturalOrdering(Mat,Vec,Vec);
1033 extern int MatSolve_SeqSBAIJ_6_NaturalOrdering(Mat,Vec,Vec);
1034 extern int MatSolve_SeqSBAIJ_7_NaturalOrdering(Mat,Vec,Vec);
1035 extern int MatSolve_SeqSBAIJ_N_NaturalOrdering(Mat,Vec,Vec);
1036 
1037 extern int MatCholeskyFactorNumeric_SeqSBAIJ_N(Mat,Mat*);
1038 extern int MatCholeskyFactorNumeric_SeqSBAIJ_1(Mat,Mat*);
1039 extern int MatCholeskyFactorNumeric_SeqSBAIJ_2(Mat,Mat*);
1040 extern int MatCholeskyFactorNumeric_SeqSBAIJ_3(Mat,Mat*);
1041 extern int MatCholeskyFactorNumeric_SeqSBAIJ_4(Mat,Mat*);
1042 extern int MatCholeskyFactorNumeric_SeqSBAIJ_5(Mat,Mat*);
1043 extern int MatCholeskyFactorNumeric_SeqSBAIJ_6(Mat,Mat*);
1044 extern int MatCholeskyFactorNumeric_SeqSBAIJ_7(Mat,Mat*);
1045 extern int MatGetInertia_SeqSBAIJ(Mat,int*,int*,int*);
1046 
1047 extern int MatMult_SeqSBAIJ_1(Mat,Vec,Vec);
1048 extern int MatMult_SeqSBAIJ_2(Mat,Vec,Vec);
1049 extern int MatMult_SeqSBAIJ_3(Mat,Vec,Vec);
1050 extern int MatMult_SeqSBAIJ_4(Mat,Vec,Vec);
1051 extern int MatMult_SeqSBAIJ_5(Mat,Vec,Vec);
1052 extern int MatMult_SeqSBAIJ_6(Mat,Vec,Vec);
1053 extern int MatMult_SeqSBAIJ_7(Mat,Vec,Vec);
1054 extern int MatMult_SeqSBAIJ_N(Mat,Vec,Vec);
1055 
1056 extern int MatMultAdd_SeqSBAIJ_1(Mat,Vec,Vec,Vec);
1057 extern int MatMultAdd_SeqSBAIJ_2(Mat,Vec,Vec,Vec);
1058 extern int MatMultAdd_SeqSBAIJ_3(Mat,Vec,Vec,Vec);
1059 extern int MatMultAdd_SeqSBAIJ_4(Mat,Vec,Vec,Vec);
1060 extern int MatMultAdd_SeqSBAIJ_5(Mat,Vec,Vec,Vec);
1061 extern int MatMultAdd_SeqSBAIJ_6(Mat,Vec,Vec,Vec);
1062 extern int MatMultAdd_SeqSBAIJ_7(Mat,Vec,Vec,Vec);
1063 extern int MatMultAdd_SeqSBAIJ_N(Mat,Vec,Vec,Vec);
1064 
1065 #ifdef HAVE_MatICCFactor
1066 /* modefied from MatILUFactor_SeqSBAIJ, needs further work!  */
1067 #undef __FUNCT__
1068 #define __FUNCT__ "MatICCFactor_SeqSBAIJ"
1069 int MatICCFactor_SeqSBAIJ(Mat inA,IS row,PetscReal fill,int level)
1070 {
1071   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)inA->data;
1072   Mat         outA;
1073   int         ierr;
1074   PetscTruth  row_identity,col_identity;
1075 
1076   PetscFunctionBegin;
1077   /*
1078   if (level != 0) SETERRQ(PETSC_ERR_SUP,"Only levels = 0 supported for in-place ILU");
1079   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
1080   ierr = ISIdentity(col,&col_identity);CHKERRQ(ierr);
1081   if (!row_identity || !col_identity) {
1082     SETERRQ(1,"Row and column permutations must be identity for in-place ICC");
1083   }
1084   */
1085 
1086   outA          = inA;
1087   inA->factor   = FACTOR_CHOLESKY;
1088 
1089   if (!a->diag) {
1090     ierr = MatMarkDiagonal_SeqSBAIJ(inA);CHKERRQ(ierr);
1091   }
1092   /*
1093       Blocksize 2, 3, 4, 5, 6 and 7 have a special faster factorization/solver
1094       for ILU(0) factorization with natural ordering
1095   */
1096   switch (a->bs) {
1097   case 1:
1098     inA->ops->solve            = MatSolve_SeqSBAIJ_1_NaturalOrdering;
1099     inA->ops->solvetranspose   = MatSolve_SeqSBAIJ_1_NaturalOrdering;
1100     inA->ops->solves           = MatSolves_SeqSBAIJ_1;
1101     PetscLoginfo(inA,"MatICCFactor_SeqSBAIJ:Using special in-place natural ordering solvetrans BS=1\n");
1102   case 2:
1103     inA->ops->lufactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_2_NaturalOrdering;
1104     inA->ops->solve           = MatSolve_SeqSBAIJ_2_NaturalOrdering;
1105     inA->ops->solvetranspose  = MatSolve_SeqSBAIJ_2_NaturalOrdering;
1106     PetscLogInfo(inA,"MatICCFactor_SeqSBAIJ:Using special in-place natural ordering factor and solve BS=2\n");
1107     break;
1108   case 3:
1109     inA->ops->lufactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_3_NaturalOrdering;
1110     inA->ops->solve           = MatSolve_SeqSBAIJ_3_NaturalOrdering;
1111     inA->ops->solvetranspose  = MatSolve_SeqSBAIJ_3_NaturalOrdering;
1112     PetscLogInfo(inA,"MatICCFactor_SeqSBAIJ:Using special in-place natural ordering factor and solve BS=3\n");
1113     break;
1114   case 4:
1115     inA->ops->lufactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_4_NaturalOrdering;
1116     inA->ops->solve           = MatSolve_SeqSBAIJ_4_NaturalOrdering;
1117     inA->ops->solvetranspose  = MatSolve_SeqSBAIJ_4_NaturalOrdering;
1118     PetscLogInfo(inA,"MatICCFactor_SeqSBAIJ:Using special in-place natural ordering factor and solve BS=4\n");
1119     break;
1120   case 5:
1121     inA->ops->lufactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_5_NaturalOrdering;
1122     inA->ops->solve           = MatSolve_SeqSBAIJ_5_NaturalOrdering;
1123     inA->ops->solvetranspose  = MatSolve_SeqSBAIJ_5_NaturalOrdering;
1124     PetscLogInfo(inA,"MatICCFactor_SeqSBAIJ:Using special in-place natural ordering factor and solve BS=5\n");
1125     break;
1126   case 6:
1127     inA->ops->lufactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_6_NaturalOrdering;
1128     inA->ops->solve           = MatSolve_SeqSBAIJ_6_NaturalOrdering;
1129     inA->ops->solvetranspose  = MatSolve_SeqSBAIJ_6_NaturalOrdering;
1130     PetscLogInfo(inA,"MatICCFactor_SeqSBAIJ:Using special in-place natural ordering factor and solve BS=6\n");
1131     break;
1132   case 7:
1133     inA->ops->lufactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_7_NaturalOrdering;
1134     inA->ops->solvetranspose  = MatSolve_SeqSBAIJ_7_NaturalOrdering;
1135     inA->ops->solve           = MatSolve_SeqSBAIJ_7_NaturalOrdering;
1136     PetscLogInfo(inA,"MatICCFactor_SeqSBAIJ:Using special in-place natural ordering factor and solve BS=7\n");
1137     break;
1138   default:
1139     a->row        = row;
1140     a->icol       = col;
1141     ierr          = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
1142     ierr          = PetscObjectReference((PetscObject)col);CHKERRQ(ierr);
1143 
1144     /* Create the invert permutation so that it can be used in MatLUFactorNumeric() */
1145     ierr = ISInvertPermutation(col,PETSC_DECIDE, &(a->icol));CHKERRQ(ierr);
1146     PetscLogObjectParent(inA,a->icol);
1147 
1148     if (!a->solve_work) {
1149       ierr = PetscMalloc((A->m+a->bs)*sizeof(PetscScalar),&a->solve_work);CHKERRQ(ierr);
1150       PetscLogObjectMemory(inA,(A->m+a->bs)*sizeof(PetscScalar));
1151     }
1152   }
1153 
1154   ierr = MatCholeskyFactorNumeric(inA,&outA);CHKERRQ(ierr);
1155 
1156   PetscFunctionReturn(0);
1157 }
1158 #endif
1159 
1160 #undef __FUNCT__
1161 #define __FUNCT__ "MatPrintHelp_SeqSBAIJ"
1162 int MatPrintHelp_SeqSBAIJ(Mat A)
1163 {
1164   static PetscTruth called = PETSC_FALSE;
1165   MPI_Comm          comm = A->comm;
1166   int               ierr;
1167 
1168   PetscFunctionBegin;
1169   if (called) {PetscFunctionReturn(0);} else called = PETSC_TRUE;
1170   ierr = (*PetscHelpPrintf)(comm," Options for MATSEQSBAIJ and MATMPISBAIJ matrix formats (the defaults):\n");CHKERRQ(ierr);
1171   ierr = (*PetscHelpPrintf)(comm,"  -mat_block_size <block_size>\n");CHKERRQ(ierr);
1172   PetscFunctionReturn(0);
1173 }
1174 
1175 EXTERN_C_BEGIN
1176 #undef __FUNCT__
1177 #define __FUNCT__ "MatSeqSBAIJSetColumnIndices_SeqSBAIJ"
1178 int MatSeqSBAIJSetColumnIndices_SeqSBAIJ(Mat mat,int *indices)
1179 {
1180   Mat_SeqSBAIJ *baij = (Mat_SeqSBAIJ *)mat->data;
1181   int         i,nz,n;
1182 
1183   PetscFunctionBegin;
1184   nz = baij->s_maxnz;
1185   n  = mat->n;
1186   for (i=0; i<nz; i++) {
1187     baij->j[i] = indices[i];
1188   }
1189   baij->s_nz = nz;
1190   for (i=0; i<n; i++) {
1191     baij->ilen[i] = baij->imax[i];
1192   }
1193 
1194   PetscFunctionReturn(0);
1195 }
1196 EXTERN_C_END
1197 
1198 #undef __FUNCT__
1199 #define __FUNCT__ "MatSeqSBAIJSetColumnIndices"
1200 /*@
1201     MatSeqSBAIJSetColumnIndices - Set the column indices for all the rows
1202        in the matrix.
1203 
1204   Input Parameters:
1205 +  mat     - the SeqSBAIJ matrix
1206 -  indices - the column indices
1207 
1208   Level: advanced
1209 
1210   Notes:
1211     This can be called if you have precomputed the nonzero structure of the
1212   matrix and want to provide it to the matrix object to improve the performance
1213   of the MatSetValues() operation.
1214 
1215     You MUST have set the correct numbers of nonzeros per row in the call to
1216   MatCreateSeqSBAIJ().
1217 
1218     MUST be called before any calls to MatSetValues()
1219 
1220 .seealso: MatCreateSeqSBAIJ
1221 @*/
1222 int MatSeqSBAIJSetColumnIndices(Mat mat,int *indices)
1223 {
1224   int ierr,(*f)(Mat,int *);
1225 
1226   PetscFunctionBegin;
1227   PetscValidHeaderSpecific(mat,MAT_COOKIE);
1228   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatSeqSBAIJSetColumnIndices_C",(void (**)(void))&f);CHKERRQ(ierr);
1229   if (f) {
1230     ierr = (*f)(mat,indices);CHKERRQ(ierr);
1231   } else {
1232     SETERRQ(1,"Wrong type of matrix to set column indices");
1233   }
1234   PetscFunctionReturn(0);
1235 }
1236 
1237 #undef __FUNCT__
1238 #define __FUNCT__ "MatSetUpPreallocation_SeqSBAIJ"
1239 int MatSetUpPreallocation_SeqSBAIJ(Mat A)
1240 {
1241   int        ierr;
1242 
1243   PetscFunctionBegin;
1244   ierr =  MatSeqSBAIJSetPreallocation(A,1,PETSC_DEFAULT,0);CHKERRQ(ierr);
1245   PetscFunctionReturn(0);
1246 }
1247 
1248 #undef __FUNCT__
1249 #define __FUNCT__ "MatGetArray_SeqSBAIJ"
1250 int MatGetArray_SeqSBAIJ(Mat A,PetscScalar **array)
1251 {
1252   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
1253   PetscFunctionBegin;
1254   *array = a->a;
1255   PetscFunctionReturn(0);
1256 }
1257 
1258 #undef __FUNCT__
1259 #define __FUNCT__ "MatRestoreArray_SeqSBAIJ"
1260 int MatRestoreArray_SeqSBAIJ(Mat A,PetscScalar **array)
1261 {
1262   PetscFunctionBegin;
1263   PetscFunctionReturn(0);
1264 }
1265 
1266 #include "petscblaslapack.h"
1267 #undef __FUNCT__
1268 #define __FUNCT__ "MatAXPY_SeqSBAIJ"
1269 int MatAXPY_SeqSBAIJ(PetscScalar *a,Mat X,Mat Y,MatStructure str)
1270 {
1271   int          ierr,one=1;
1272   Mat_SeqSBAIJ *x  = (Mat_SeqSBAIJ *)X->data,*y = (Mat_SeqSBAIJ *)Y->data;
1273 
1274   PetscFunctionBegin;
1275   if (str == SAME_NONZERO_PATTERN) {
1276     BLaxpy_(&x->s_nz,a,x->a,&one,y->a,&one);
1277   } else {
1278     ierr = MatAXPY_Basic(a,X,Y,str);CHKERRQ(ierr);
1279   }
1280   PetscFunctionReturn(0);
1281 }
1282 
1283 /* -------------------------------------------------------------------*/
1284 static struct _MatOps MatOps_Values = {MatSetValues_SeqSBAIJ,
1285        MatGetRow_SeqSBAIJ,
1286        MatRestoreRow_SeqSBAIJ,
1287        MatMult_SeqSBAIJ_N,
1288        MatMultAdd_SeqSBAIJ_N,
1289        MatMultTranspose_SeqSBAIJ,
1290        MatMultTransposeAdd_SeqSBAIJ,
1291        MatSolve_SeqSBAIJ_N,
1292        0,
1293        0,
1294        0,
1295        0,
1296        MatCholeskyFactor_SeqSBAIJ,
1297        MatRelax_SeqSBAIJ,
1298        MatTranspose_SeqSBAIJ,
1299        MatGetInfo_SeqSBAIJ,
1300        MatEqual_SeqSBAIJ,
1301        MatGetDiagonal_SeqSBAIJ,
1302        MatDiagonalScale_SeqSBAIJ,
1303        MatNorm_SeqSBAIJ,
1304        0,
1305        MatAssemblyEnd_SeqSBAIJ,
1306        0,
1307        MatSetOption_SeqSBAIJ,
1308        MatZeroEntries_SeqSBAIJ,
1309        MatZeroRows_SeqSBAIJ,
1310        0,
1311        0,
1312        MatCholeskyFactorSymbolic_SeqSBAIJ,
1313        MatCholeskyFactorNumeric_SeqSBAIJ_N,
1314        MatSetUpPreallocation_SeqSBAIJ,
1315        0,
1316        MatICCFactorSymbolic_SeqSBAIJ,
1317        MatGetArray_SeqSBAIJ,
1318        MatRestoreArray_SeqSBAIJ,
1319        MatDuplicate_SeqSBAIJ,
1320        0,
1321        0,
1322        0,
1323        0,
1324        MatAXPY_SeqSBAIJ,
1325        MatGetSubMatrices_SeqSBAIJ,
1326        MatIncreaseOverlap_SeqSBAIJ,
1327        MatGetValues_SeqSBAIJ,
1328        0,
1329        MatPrintHelp_SeqSBAIJ,
1330        MatScale_SeqSBAIJ,
1331        0,
1332        0,
1333        0,
1334        MatGetBlockSize_SeqSBAIJ,
1335        MatGetRowIJ_SeqSBAIJ,
1336        MatRestoreRowIJ_SeqSBAIJ,
1337        0,
1338        0,
1339        0,
1340        0,
1341        0,
1342        0,
1343        MatSetValuesBlocked_SeqSBAIJ,
1344        MatGetSubMatrix_SeqSBAIJ,
1345        0,
1346        0,
1347        MatGetPetscMaps_Petsc,
1348        0,
1349        0,
1350        0,
1351        0,
1352        0,
1353        0,
1354        MatGetRowMax_SeqSBAIJ,
1355        0,
1356        0,
1357        0,
1358        0,
1359        0,
1360        0,
1361        0,
1362        0,
1363        0,
1364        0,
1365        0,
1366        0,
1367        0,
1368 #if !defined(PETSC_USE_COMPLEX)
1369        MatGetInertia_SeqSBAIJ
1370 #else
1371        0
1372 #endif
1373 };
1374 
1375 EXTERN_C_BEGIN
1376 #undef __FUNCT__
1377 #define __FUNCT__ "MatStoreValues_SeqSBAIJ"
1378 int MatStoreValues_SeqSBAIJ(Mat mat)
1379 {
1380   Mat_SeqSBAIJ *aij = (Mat_SeqSBAIJ *)mat->data;
1381   int         nz = aij->i[mat->m]*aij->bs*aij->bs2;
1382   int         ierr;
1383 
1384   PetscFunctionBegin;
1385   if (aij->nonew != 1) {
1386     SETERRQ(1,"Must call MatSetOption(A,MAT_NO_NEW_NONZERO_LOCATIONS);first");
1387   }
1388 
1389   /* allocate space for values if not already there */
1390   if (!aij->saved_values) {
1391     ierr = PetscMalloc((nz+1)*sizeof(PetscScalar),&aij->saved_values);CHKERRQ(ierr);
1392   }
1393 
1394   /* copy values over */
1395   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
1396   PetscFunctionReturn(0);
1397 }
1398 EXTERN_C_END
1399 
1400 EXTERN_C_BEGIN
1401 #undef __FUNCT__
1402 #define __FUNCT__ "MatRetrieveValues_SeqSBAIJ"
1403 int MatRetrieveValues_SeqSBAIJ(Mat mat)
1404 {
1405   Mat_SeqSBAIJ *aij = (Mat_SeqSBAIJ *)mat->data;
1406   int         nz = aij->i[mat->m]*aij->bs*aij->bs2,ierr;
1407 
1408   PetscFunctionBegin;
1409   if (aij->nonew != 1) {
1410     SETERRQ(1,"Must call MatSetOption(A,MAT_NO_NEW_NONZERO_LOCATIONS);first");
1411   }
1412   if (!aij->saved_values) {
1413     SETERRQ(1,"Must call MatStoreValues(A);first");
1414   }
1415 
1416   /* copy values over */
1417   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
1418   PetscFunctionReturn(0);
1419 }
1420 EXTERN_C_END
1421 
1422 EXTERN_C_BEGIN
1423 #undef __FUNCT__
1424 #define __FUNCT__ "MatCreate_SeqSBAIJ"
1425 int MatCreate_SeqSBAIJ(Mat B)
1426 {
1427   Mat_SeqSBAIJ *b;
1428   int          ierr,size;
1429 
1430   PetscFunctionBegin;
1431   ierr = MPI_Comm_size(B->comm,&size);CHKERRQ(ierr);
1432   if (size > 1) SETERRQ(PETSC_ERR_ARG_WRONG,"Comm must be of size 1");
1433   B->m = B->M = PetscMax(B->m,B->M);
1434   B->n = B->N = PetscMax(B->n,B->N);
1435 
1436   ierr    = PetscNew(Mat_SeqSBAIJ,&b);CHKERRQ(ierr);
1437   B->data = (void*)b;
1438   ierr    = PetscMemzero(b,sizeof(Mat_SeqSBAIJ));CHKERRQ(ierr);
1439   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
1440   B->ops->destroy     = MatDestroy_SeqSBAIJ;
1441   B->ops->view        = MatView_SeqSBAIJ;
1442   B->factor           = 0;
1443   B->lupivotthreshold = 1.0;
1444   B->mapping          = 0;
1445   b->row              = 0;
1446   b->icol             = 0;
1447   b->reallocs         = 0;
1448   b->saved_values     = 0;
1449 
1450   ierr = PetscMapCreateMPI(B->comm,B->m,B->M,&B->rmap);CHKERRQ(ierr);
1451   ierr = PetscMapCreateMPI(B->comm,B->n,B->N,&B->cmap);CHKERRQ(ierr);
1452 
1453   b->sorted           = PETSC_FALSE;
1454   b->roworiented      = PETSC_TRUE;
1455   b->nonew            = 0;
1456   b->diag             = 0;
1457   b->solve_work       = 0;
1458   b->mult_work        = 0;
1459   B->spptr            = 0;
1460   b->keepzeroedrows   = PETSC_FALSE;
1461 
1462   b->inew             = 0;
1463   b->jnew             = 0;
1464   b->anew             = 0;
1465   b->a2anew           = 0;
1466   b->permute          = PETSC_FALSE;
1467 
1468   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatStoreValues_C",
1469                                      "MatStoreValues_SeqSBAIJ",
1470                                      (void*)MatStoreValues_SeqSBAIJ);CHKERRQ(ierr);
1471   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatRetrieveValues_C",
1472                                      "MatRetrieveValues_SeqSBAIJ",
1473                                      (void*)MatRetrieveValues_SeqSBAIJ);CHKERRQ(ierr);
1474   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqSBAIJSetColumnIndices_C",
1475                                      "MatSeqSBAIJSetColumnIndices_SeqSBAIJ",
1476                                      (void*)MatSeqSBAIJSetColumnIndices_SeqSBAIJ);CHKERRQ(ierr);
1477   PetscFunctionReturn(0);
1478 }
1479 EXTERN_C_END
1480 
1481 #undef __FUNCT__
1482 #define __FUNCT__ "MatSeqSBAIJSetPreallocation"
1483 /*@C
1484    MatSeqSBAIJSetPreallocation - Creates a sparse symmetric matrix in block AIJ (block
1485    compressed row) format.  For good matrix assembly performance the
1486    user should preallocate the matrix storage by setting the parameter nz
1487    (or the array nnz).  By setting these parameters accurately, performance
1488    during matrix assembly can be increased by more than a factor of 50.
1489 
1490    Collective on Mat
1491 
1492    Input Parameters:
1493 +  A - the symmetric matrix
1494 .  bs - size of block
1495 .  nz - number of block nonzeros per block row (same for all rows)
1496 -  nnz - array containing the number of block nonzeros in the upper triangular plus
1497          diagonal portion of each block (possibly different for each block row) or PETSC_NULL
1498 
1499    Options Database Keys:
1500 .   -mat_no_unroll - uses code that does not unroll the loops in the
1501                      block calculations (much slower)
1502 .    -mat_block_size - size of the blocks to use
1503 
1504    Level: intermediate
1505 
1506    Notes:
1507    Specify the preallocated storage with either nz or nnz (not both).
1508    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
1509    allocation.  For additional details, see the users manual chapter on
1510    matrices.
1511 
1512 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateMPISBAIJ()
1513 @*/
1514 int MatSeqSBAIJSetPreallocation(Mat B,int bs,int nz,int *nnz)
1515 {
1516   Mat_SeqSBAIJ *b = (Mat_SeqSBAIJ*)B->data;
1517   int          i,len,ierr,mbs,bs2;
1518   PetscTruth   flg;
1519   int          s_nz;
1520 
1521   PetscFunctionBegin;
1522   B->preallocated = PETSC_TRUE;
1523   ierr = PetscOptionsGetInt(B->prefix,"-mat_block_size",&bs,PETSC_NULL);CHKERRQ(ierr);
1524   mbs  = B->m/bs;
1525   bs2  = bs*bs;
1526 
1527   if (mbs*bs != B->m) {
1528     SETERRQ(PETSC_ERR_ARG_SIZ,"Number rows, cols must be divisible by blocksize");
1529   }
1530 
1531   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 3;
1532   if (nz < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %d",nz);
1533   if (nnz) {
1534     for (i=0; i<mbs; i++) {
1535       if (nnz[i] < 0) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"nnz cannot be less than 0: local row %d value %d",i,nnz[i]);
1536       if (nnz[i] > mbs) SETERRQ3(PETSC_ERR_ARG_OUTOFRANGE,"nnz cannot be greater than block row length: local row %d value %d rowlength %d",i,nnz[i],mbs);
1537     }
1538   }
1539 
1540   ierr    = PetscOptionsHasName(B->prefix,"-mat_no_unroll",&flg);CHKERRQ(ierr);
1541   if (!flg) {
1542     switch (bs) {
1543     case 1:
1544       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_1;
1545       B->ops->solve           = MatSolve_SeqSBAIJ_1;
1546       B->ops->solves          = MatSolves_SeqSBAIJ_1;
1547       B->ops->solvetranspose  = MatSolveTranspose_SeqSBAIJ_1;
1548       B->ops->mult            = MatMult_SeqSBAIJ_1;
1549       B->ops->multadd         = MatMultAdd_SeqSBAIJ_1;
1550       break;
1551     case 2:
1552       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_2;
1553       B->ops->solve           = MatSolve_SeqSBAIJ_2;
1554       B->ops->solvetranspose  = MatSolveTranspose_SeqSBAIJ_2;
1555       B->ops->mult            = MatMult_SeqSBAIJ_2;
1556       B->ops->multadd         = MatMultAdd_SeqSBAIJ_2;
1557       break;
1558     case 3:
1559       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_3;
1560       B->ops->solve           = MatSolve_SeqSBAIJ_3;
1561       B->ops->solvetranspose  = MatSolveTranspose_SeqSBAIJ_3;
1562       B->ops->mult            = MatMult_SeqSBAIJ_3;
1563       B->ops->multadd         = MatMultAdd_SeqSBAIJ_3;
1564       break;
1565     case 4:
1566       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_4;
1567       B->ops->solve           = MatSolve_SeqSBAIJ_4;
1568       B->ops->solvetranspose  = MatSolveTranspose_SeqSBAIJ_4;
1569       B->ops->mult            = MatMult_SeqSBAIJ_4;
1570       B->ops->multadd         = MatMultAdd_SeqSBAIJ_4;
1571       break;
1572     case 5:
1573       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_5;
1574       B->ops->solve           = MatSolve_SeqSBAIJ_5;
1575       B->ops->solvetranspose  = MatSolveTranspose_SeqSBAIJ_5;
1576       B->ops->mult            = MatMult_SeqSBAIJ_5;
1577       B->ops->multadd         = MatMultAdd_SeqSBAIJ_5;
1578       break;
1579     case 6:
1580       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_6;
1581       B->ops->solve           = MatSolve_SeqSBAIJ_6;
1582       B->ops->solvetranspose  = MatSolveTranspose_SeqSBAIJ_6;
1583       B->ops->mult            = MatMult_SeqSBAIJ_6;
1584       B->ops->multadd         = MatMultAdd_SeqSBAIJ_6;
1585       break;
1586     case 7:
1587       B->ops->choleskyfactornumeric = MatCholeskyFactorNumeric_SeqSBAIJ_7;
1588       B->ops->solve           = MatSolve_SeqSBAIJ_7;
1589       B->ops->solvetranspose  = MatSolveTranspose_SeqSBAIJ_7;
1590       B->ops->mult            = MatMult_SeqSBAIJ_7;
1591       B->ops->multadd         = MatMultAdd_SeqSBAIJ_7;
1592       break;
1593     }
1594   }
1595 
1596   b->mbs = mbs;
1597   b->nbs = mbs;
1598   ierr   = PetscMalloc((mbs+1)*sizeof(int),&b->imax);CHKERRQ(ierr);
1599   if (!nnz) {
1600     if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
1601     else if (nz <= 0)        nz = 1;
1602     for (i=0; i<mbs; i++) {
1603       b->imax[i] = nz;
1604     }
1605     nz = nz*mbs; /* total nz */
1606   } else {
1607     nz = 0;
1608     for (i=0; i<mbs; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
1609   }
1610   /* s_nz=(nz+mbs)/2; */ /* total diagonal and superdiagonal nonzero blocks */
1611   s_nz = nz;
1612 
1613   /* allocate the matrix space */
1614   len  = s_nz*sizeof(int) + s_nz*bs2*sizeof(MatScalar) + (B->m+1)*sizeof(int);
1615   ierr = PetscMalloc(len,&b->a);CHKERRQ(ierr);
1616   ierr = PetscMemzero(b->a,s_nz*bs2*sizeof(MatScalar));CHKERRQ(ierr);
1617   b->j = (int*)(b->a + s_nz*bs2);
1618   ierr = PetscMemzero(b->j,s_nz*sizeof(int));CHKERRQ(ierr);
1619   b->i = b->j + s_nz;
1620   b->singlemalloc = PETSC_TRUE;
1621 
1622   /* pointer to beginning of each row */
1623   b->i[0] = 0;
1624   for (i=1; i<mbs+1; i++) {
1625     b->i[i] = b->i[i-1] + b->imax[i-1];
1626   }
1627 
1628   /* b->ilen will count nonzeros in each block row so far. */
1629   ierr = PetscMalloc((mbs+1)*sizeof(int),&b->ilen);CHKERRQ(ierr);
1630   PetscLogObjectMemory(B,len+2*(mbs+1)*sizeof(int)+sizeof(struct _p_Mat)+sizeof(Mat_SeqSBAIJ));
1631   for (i=0; i<mbs; i++) { b->ilen[i] = 0;}
1632 
1633   b->bs               = bs;
1634   b->bs2              = bs2;
1635   b->s_nz             = 0;
1636   b->s_maxnz          = s_nz*bs2;
1637 
1638   b->inew             = 0;
1639   b->jnew             = 0;
1640   b->anew             = 0;
1641   b->a2anew           = 0;
1642   b->permute          = PETSC_FALSE;
1643   PetscFunctionReturn(0);
1644 }
1645 
1646 
1647 #undef __FUNCT__
1648 #define __FUNCT__ "MatCreateSeqSBAIJ"
1649 /*@C
1650    MatCreateSeqSBAIJ - Creates a sparse symmetric matrix in block AIJ (block
1651    compressed row) format.  For good matrix assembly performance the
1652    user should preallocate the matrix storage by setting the parameter nz
1653    (or the array nnz).  By setting these parameters accurately, performance
1654    during matrix assembly can be increased by more than a factor of 50.
1655 
1656    Collective on MPI_Comm
1657 
1658    Input Parameters:
1659 +  comm - MPI communicator, set to PETSC_COMM_SELF
1660 .  bs - size of block
1661 .  m - number of rows, or number of columns
1662 .  nz - number of block nonzeros per block row (same for all rows)
1663 -  nnz - array containing the number of block nonzeros in the upper triangular plus
1664          diagonal portion of each block (possibly different for each block row) or PETSC_NULL
1665 
1666    Output Parameter:
1667 .  A - the symmetric matrix
1668 
1669    Options Database Keys:
1670 .   -mat_no_unroll - uses code that does not unroll the loops in the
1671                      block calculations (much slower)
1672 .    -mat_block_size - size of the blocks to use
1673 
1674    Level: intermediate
1675 
1676    Notes:
1677 
1678    Specify the preallocated storage with either nz or nnz (not both).
1679    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
1680    allocation.  For additional details, see the users manual chapter on
1681    matrices.
1682 
1683 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateMPISBAIJ()
1684 @*/
1685 int MatCreateSeqSBAIJ(MPI_Comm comm,int bs,int m,int n,int nz,int *nnz,Mat *A)
1686 {
1687   int ierr;
1688 
1689   PetscFunctionBegin;
1690   ierr = MatCreate(comm,m,n,m,n,A);CHKERRQ(ierr);
1691   ierr = MatSetType(*A,MATSEQSBAIJ);CHKERRQ(ierr);
1692   ierr = MatSeqSBAIJSetPreallocation(*A,bs,nz,nnz);CHKERRQ(ierr);
1693   PetscFunctionReturn(0);
1694 }
1695 
1696 #undef __FUNCT__
1697 #define __FUNCT__ "MatDuplicate_SeqSBAIJ"
1698 int MatDuplicate_SeqSBAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
1699 {
1700   Mat         C;
1701   Mat_SeqSBAIJ *c,*a = (Mat_SeqSBAIJ*)A->data;
1702   int         i,len,mbs = a->mbs,nz = a->s_nz,bs2 =a->bs2,ierr;
1703 
1704   PetscFunctionBegin;
1705   if (a->i[mbs] != nz) SETERRQ(PETSC_ERR_PLIB,"Corrupt matrix");
1706 
1707   *B = 0;
1708   ierr = MatCreate(A->comm,A->m,A->n,A->m,A->n,&C);CHKERRQ(ierr);
1709   ierr = MatSetType(C,MATSEQSBAIJ);CHKERRQ(ierr);
1710   c    = (Mat_SeqSBAIJ*)C->data;
1711 
1712   ierr              = PetscMemcpy(C->ops,A->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
1713   C->preallocated   = PETSC_TRUE;
1714   C->factor         = A->factor;
1715   c->row            = 0;
1716   c->icol           = 0;
1717   c->saved_values   = 0;
1718   c->keepzeroedrows = a->keepzeroedrows;
1719   C->assembled      = PETSC_TRUE;
1720 
1721   c->bs         = a->bs;
1722   c->bs2        = a->bs2;
1723   c->mbs        = a->mbs;
1724   c->nbs        = a->nbs;
1725 
1726   ierr = PetscMalloc((mbs+1)*sizeof(int),&c->imax);CHKERRQ(ierr);
1727   ierr = PetscMalloc((mbs+1)*sizeof(int),&c->ilen);CHKERRQ(ierr);
1728   for (i=0; i<mbs; i++) {
1729     c->imax[i] = a->imax[i];
1730     c->ilen[i] = a->ilen[i];
1731   }
1732 
1733   /* allocate the matrix space */
1734   c->singlemalloc = PETSC_TRUE;
1735   len  = (mbs+1)*sizeof(int) + nz*(bs2*sizeof(MatScalar) + sizeof(int));
1736   ierr = PetscMalloc(len,&c->a);CHKERRQ(ierr);
1737   c->j = (int*)(c->a + nz*bs2);
1738   c->i = c->j + nz;
1739   ierr = PetscMemcpy(c->i,a->i,(mbs+1)*sizeof(int));CHKERRQ(ierr);
1740   if (mbs > 0) {
1741     ierr = PetscMemcpy(c->j,a->j,nz*sizeof(int));CHKERRQ(ierr);
1742     if (cpvalues == MAT_COPY_VALUES) {
1743       ierr = PetscMemcpy(c->a,a->a,bs2*nz*sizeof(MatScalar));CHKERRQ(ierr);
1744     } else {
1745       ierr = PetscMemzero(c->a,bs2*nz*sizeof(MatScalar));CHKERRQ(ierr);
1746     }
1747   }
1748 
1749   PetscLogObjectMemory(C,len+2*(mbs+1)*sizeof(int)+sizeof(struct _p_Mat)+sizeof(Mat_SeqSBAIJ));
1750   c->sorted      = a->sorted;
1751   c->roworiented = a->roworiented;
1752   c->nonew       = a->nonew;
1753 
1754   if (a->diag) {
1755     ierr = PetscMalloc((mbs+1)*sizeof(int),&c->diag);CHKERRQ(ierr);
1756     PetscLogObjectMemory(C,(mbs+1)*sizeof(int));
1757     for (i=0; i<mbs; i++) {
1758       c->diag[i] = a->diag[i];
1759     }
1760   } else c->diag        = 0;
1761   c->s_nz               = a->s_nz;
1762   c->s_maxnz            = a->s_maxnz;
1763   c->solve_work         = 0;
1764   C->spptr              = 0;      /* Dangerous -I'm throwing away a->spptr */
1765   c->mult_work          = 0;
1766   *B = C;
1767   ierr = PetscFListDuplicate(A->qlist,&C->qlist);CHKERRQ(ierr);
1768   PetscFunctionReturn(0);
1769 }
1770 
1771 EXTERN_C_BEGIN
1772 #undef __FUNCT__
1773 #define __FUNCT__ "MatLoad_SeqSBAIJ"
1774 int MatLoad_SeqSBAIJ(PetscViewer viewer,MatType type,Mat *A)
1775 {
1776   Mat_SeqSBAIJ *a;
1777   Mat          B;
1778   int          i,nz,ierr,fd,header[4],size,*rowlengths=0,M,N,bs=1;
1779   int          *mask,mbs,*jj,j,rowcount,nzcount,k,*s_browlengths,maskcount;
1780   int          kmax,jcount,block,idx,point,nzcountb,extra_rows;
1781   int          *masked,nmask,tmp,bs2,ishift;
1782   PetscScalar  *aa;
1783   MPI_Comm     comm = ((PetscObject)viewer)->comm;
1784 
1785   PetscFunctionBegin;
1786   ierr = PetscOptionsGetInt(PETSC_NULL,"-matload_block_size",&bs,PETSC_NULL);CHKERRQ(ierr);
1787   bs2  = bs*bs;
1788 
1789   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
1790   if (size > 1) SETERRQ(PETSC_ERR_ARG_WRONG,"view must have one processor");
1791   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
1792   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
1793   if (header[0] != MAT_FILE_COOKIE) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"not Mat object");
1794   M = header[1]; N = header[2]; nz = header[3];
1795 
1796   if (header[3] < 0) {
1797     SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as SeqSBAIJ");
1798   }
1799 
1800   if (M != N) SETERRQ(PETSC_ERR_SUP,"Can only do square matrices");
1801 
1802   /*
1803      This code adds extra rows to make sure the number of rows is
1804     divisible by the blocksize
1805   */
1806   mbs        = M/bs;
1807   extra_rows = bs - M + bs*(mbs);
1808   if (extra_rows == bs) extra_rows = 0;
1809   else                  mbs++;
1810   if (extra_rows) {
1811     PetscLogInfo(0,"MatLoad_SeqSBAIJ:Padding loaded matrix to match blocksize\n");
1812   }
1813 
1814   /* read in row lengths */
1815   ierr = PetscMalloc((M+extra_rows)*sizeof(int),&rowlengths);CHKERRQ(ierr);
1816   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
1817   for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
1818 
1819   /* read in column indices */
1820   ierr = PetscMalloc((nz+extra_rows)*sizeof(int),&jj);CHKERRQ(ierr);
1821   ierr = PetscBinaryRead(fd,jj,nz,PETSC_INT);CHKERRQ(ierr);
1822   for (i=0; i<extra_rows; i++) jj[nz+i] = M+i;
1823 
1824   /* loop over row lengths determining block row lengths */
1825   ierr     = PetscMalloc(mbs*sizeof(int),&s_browlengths);CHKERRQ(ierr);
1826   ierr     = PetscMemzero(s_browlengths,mbs*sizeof(int));CHKERRQ(ierr);
1827   ierr     = PetscMalloc(2*mbs*sizeof(int),&mask);CHKERRQ(ierr);
1828   ierr     = PetscMemzero(mask,mbs*sizeof(int));CHKERRQ(ierr);
1829   masked   = mask + mbs;
1830   rowcount = 0; nzcount = 0;
1831   for (i=0; i<mbs; i++) {
1832     nmask = 0;
1833     for (j=0; j<bs; j++) {
1834       kmax = rowlengths[rowcount];
1835       for (k=0; k<kmax; k++) {
1836         tmp = jj[nzcount++]/bs;   /* block col. index */
1837         if (!mask[tmp] && tmp >= i) {masked[nmask++] = tmp; mask[tmp] = 1;}
1838       }
1839       rowcount++;
1840     }
1841     s_browlengths[i] += nmask;
1842 
1843     /* zero out the mask elements we set */
1844     for (j=0; j<nmask; j++) mask[masked[j]] = 0;
1845   }
1846 
1847   /* create our matrix */
1848   ierr = MatCreateSeqSBAIJ(comm,bs,M+extra_rows,N+extra_rows,0,s_browlengths,A);CHKERRQ(ierr);
1849   B = *A;
1850   a = (Mat_SeqSBAIJ*)B->data;
1851 
1852   /* set matrix "i" values */
1853   a->i[0] = 0;
1854   for (i=1; i<= mbs; i++) {
1855     a->i[i]      = a->i[i-1] + s_browlengths[i-1];
1856     a->ilen[i-1] = s_browlengths[i-1];
1857   }
1858   a->s_nz = a->i[mbs];
1859 
1860   /* read in nonzero values */
1861   ierr = PetscMalloc((nz+extra_rows)*sizeof(PetscScalar),&aa);CHKERRQ(ierr);
1862   ierr = PetscBinaryRead(fd,aa,nz,PETSC_SCALAR);CHKERRQ(ierr);
1863   for (i=0; i<extra_rows; i++) aa[nz+i] = 1.0;
1864 
1865   /* set "a" and "j" values into matrix */
1866   nzcount = 0; jcount = 0;
1867   for (i=0; i<mbs; i++) {
1868     nzcountb = nzcount;
1869     nmask    = 0;
1870     for (j=0; j<bs; j++) {
1871       kmax = rowlengths[i*bs+j];
1872       for (k=0; k<kmax; k++) {
1873         tmp = jj[nzcount++]/bs; /* block col. index */
1874         if (!mask[tmp] && tmp >= i) { masked[nmask++] = tmp; mask[tmp] = 1;}
1875       }
1876     }
1877     /* sort the masked values */
1878     ierr = PetscSortInt(nmask,masked);CHKERRQ(ierr);
1879 
1880     /* set "j" values into matrix */
1881     maskcount = 1;
1882     for (j=0; j<nmask; j++) {
1883       a->j[jcount++]  = masked[j];
1884       mask[masked[j]] = maskcount++;
1885     }
1886 
1887     /* set "a" values into matrix */
1888     ishift = bs2*a->i[i];
1889     for (j=0; j<bs; j++) {
1890       kmax = rowlengths[i*bs+j];
1891       for (k=0; k<kmax; k++) {
1892         tmp       = jj[nzcountb]/bs ; /* block col. index */
1893         if (tmp >= i){
1894           block     = mask[tmp] - 1;
1895           point     = jj[nzcountb] - bs*tmp;
1896           idx       = ishift + bs2*block + j + bs*point;
1897           a->a[idx] = aa[nzcountb];
1898         }
1899         nzcountb++;
1900       }
1901     }
1902     /* zero out the mask elements we set */
1903     for (j=0; j<nmask; j++) mask[masked[j]] = 0;
1904   }
1905   if (jcount != a->s_nz) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"Bad binary matrix");
1906 
1907   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
1908   ierr = PetscFree(s_browlengths);CHKERRQ(ierr);
1909   ierr = PetscFree(aa);CHKERRQ(ierr);
1910   ierr = PetscFree(jj);CHKERRQ(ierr);
1911   ierr = PetscFree(mask);CHKERRQ(ierr);
1912 
1913   B->assembled = PETSC_TRUE;
1914   ierr = MatView_Private(B);CHKERRQ(ierr);
1915   PetscFunctionReturn(0);
1916 }
1917 EXTERN_C_END
1918 
1919 #undef __FUNCT__
1920 #define __FUNCT__ "MatRelax_SeqSBAIJ"
1921 int MatRelax_SeqSBAIJ(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,int its,int lits,Vec xx)
1922 {
1923   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data;
1924   MatScalar    *aa=a->a,*v,*v1;
1925   PetscScalar  *x,*b,*t,sum,d;
1926   int          m=a->mbs,bs=a->bs,*ai=a->i,*aj=a->j,ierr;
1927   int          nz,nz1,*vj,*vj1,i;
1928 
1929   PetscFunctionBegin;
1930   its = its*lits;
1931   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %d and local its %d both positive",its,lits);
1932 
1933   if (bs > 1)
1934     SETERRQ(PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
1935 
1936   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1937   if (xx != bb) {
1938     ierr = VecGetArray(bb,&b);CHKERRQ(ierr);
1939   } else {
1940     b = x;
1941   }
1942 
1943   ierr = PetscMalloc(m*sizeof(PetscScalar),&t);CHKERRQ(ierr);
1944 
1945   if (flag & SOR_ZERO_INITIAL_GUESS) {
1946     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
1947       for (i=0; i<m; i++)
1948         t[i] = b[i];
1949 
1950       for (i=0; i<m; i++){
1951         d  = *(aa + ai[i]);  /* diag[i] */
1952         v  = aa + ai[i] + 1;
1953         vj = aj + ai[i] + 1;
1954         nz = ai[i+1] - ai[i] - 1;
1955         x[i] = omega*t[i]/d;
1956         while (nz--) t[*vj++] -= x[i]*(*v++); /* update rhs */
1957         PetscLogFlops(2*nz-1);
1958       }
1959     }
1960 
1961     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
1962       for (i=0; i<m; i++)
1963         t[i] = b[i];
1964 
1965       for (i=0; i<m-1; i++){  /* update rhs */
1966         v  = aa + ai[i] + 1;
1967         vj = aj + ai[i] + 1;
1968         nz = ai[i+1] - ai[i] - 1;
1969         while (nz--) t[*vj++] -= x[i]*(*v++);
1970         PetscLogFlops(2*nz-1);
1971       }
1972       for (i=m-1; i>=0; i--){
1973         d  = *(aa + ai[i]);
1974         v  = aa + ai[i] + 1;
1975         vj = aj + ai[i] + 1;
1976         nz = ai[i+1] - ai[i] - 1;
1977         sum = t[i];
1978         while (nz--) sum -= x[*vj++]*(*v++);
1979         PetscLogFlops(2*nz-1);
1980         x[i] =   (1-omega)*x[i] + omega*sum/d;
1981       }
1982     }
1983     its--;
1984   }
1985 
1986   while (its--) {
1987     /*
1988        forward sweep:
1989        for i=0,...,m-1:
1990          sum[i] = (b[i] - U(i,:)x )/d[i];
1991          x[i]   = (1-omega)x[i] + omega*sum[i];
1992          b      = b - x[i]*U^T(i,:);
1993 
1994     */
1995     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
1996       for (i=0; i<m; i++)
1997         t[i] = b[i];
1998 
1999       for (i=0; i<m; i++){
2000         d  = *(aa + ai[i]);  /* diag[i] */
2001         v  = aa + ai[i] + 1; v1=v;
2002         vj = aj + ai[i] + 1; vj1=vj;
2003         nz = ai[i+1] - ai[i] - 1; nz1=nz;
2004         sum = t[i];
2005         while (nz1--) sum -= (*v1++)*x[*vj1++];
2006         x[i] = (1-omega)*x[i] + omega*sum/d;
2007         while (nz--) t[*vj++] -= x[i]*(*v++);
2008         PetscLogFlops(4*nz-2);
2009       }
2010     }
2011 
2012   if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
2013       /*
2014        backward sweep:
2015        b = b - x[i]*U^T(i,:), i=0,...,n-2
2016        for i=m-1,...,0:
2017          sum[i] = (b[i] - U(i,:)x )/d[i];
2018          x[i]   = (1-omega)x[i] + omega*sum[i];
2019       */
2020       for (i=0; i<m; i++)
2021         t[i] = b[i];
2022 
2023       for (i=0; i<m-1; i++){  /* update rhs */
2024         v  = aa + ai[i] + 1;
2025         vj = aj + ai[i] + 1;
2026         nz = ai[i+1] - ai[i] - 1;
2027         while (nz--) t[*vj++] -= x[i]*(*v++);
2028         PetscLogFlops(2*nz-1);
2029       }
2030       for (i=m-1; i>=0; i--){
2031         d  = *(aa + ai[i]);
2032         v  = aa + ai[i] + 1;
2033         vj = aj + ai[i] + 1;
2034         nz = ai[i+1] - ai[i] - 1;
2035         sum = t[i];
2036         while (nz--) sum -= x[*vj++]*(*v++);
2037         PetscLogFlops(2*nz-1);
2038         x[i] =   (1-omega)*x[i] + omega*sum/d;
2039       }
2040     }
2041   }
2042 
2043   ierr = PetscFree(t); CHKERRQ(ierr);
2044   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2045   if (bb != xx) {
2046     ierr = VecRestoreArray(bb,&b);CHKERRQ(ierr);
2047   }
2048 
2049   PetscFunctionReturn(0);
2050 }
2051 
2052 
2053 
2054 
2055 
2056 
2057