xref: /petsc/src/mat/impls/aij/seq/aij.c (revision a5bbaf83c7e96b494ebab7f63e90aa876bf979e5)
1 
2 /*
3     Defines the basic matrix operations for the AIJ (compressed row)
4   matrix storage format.
5 */
6 
7 
8 #include <../src/mat/impls/aij/seq/aij.h>          /*I "petscmat.h" I*/
9 #include <petscblaslapack.h>
10 #include <petscbt.h>
11 #include <petsc/private/kernels/blocktranspose.h>
12 
13 PetscErrorCode MatSeqAIJSetTypeFromOptions(Mat A)
14 {
15   PetscErrorCode       ierr;
16   PetscBool            flg;
17   char                 type[256];
18 
19   PetscFunctionBegin;
20   ierr = PetscObjectOptionsBegin((PetscObject)A);
21   ierr = PetscOptionsFList("-mat_seqaij_type","Matrix SeqAIJ type","MatSeqAIJSetType",MatSeqAIJList,"seqaij",type,256,&flg);CHKERRQ(ierr);
22   if (flg) {
23     ierr = MatSeqAIJSetType(A,type);CHKERRQ(ierr);
24   }
25   ierr = PetscOptionsEnd();CHKERRQ(ierr);
26   PetscFunctionReturn(0);
27 }
28 
29 PetscErrorCode MatGetColumnNorms_SeqAIJ(Mat A,NormType type,PetscReal *norms)
30 {
31   PetscErrorCode ierr;
32   PetscInt       i,m,n;
33   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)A->data;
34 
35   PetscFunctionBegin;
36   ierr = MatGetSize(A,&m,&n);CHKERRQ(ierr);
37   ierr = PetscMemzero(norms,n*sizeof(PetscReal));CHKERRQ(ierr);
38   if (type == NORM_2) {
39     for (i=0; i<aij->i[m]; i++) {
40       norms[aij->j[i]] += PetscAbsScalar(aij->a[i]*aij->a[i]);
41     }
42   } else if (type == NORM_1) {
43     for (i=0; i<aij->i[m]; i++) {
44       norms[aij->j[i]] += PetscAbsScalar(aij->a[i]);
45     }
46   } else if (type == NORM_INFINITY) {
47     for (i=0; i<aij->i[m]; i++) {
48       norms[aij->j[i]] = PetscMax(PetscAbsScalar(aij->a[i]),norms[aij->j[i]]);
49     }
50   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Unknown NormType");
51 
52   if (type == NORM_2) {
53     for (i=0; i<n; i++) norms[i] = PetscSqrtReal(norms[i]);
54   }
55   PetscFunctionReturn(0);
56 }
57 
58 PetscErrorCode MatFindOffBlockDiagonalEntries_SeqAIJ(Mat A,IS *is)
59 {
60   Mat_SeqAIJ      *a  = (Mat_SeqAIJ*)A->data;
61   PetscInt        i,m=A->rmap->n,cnt = 0, bs = A->rmap->bs;
62   const PetscInt  *jj = a->j,*ii = a->i;
63   PetscInt        *rows;
64   PetscErrorCode  ierr;
65 
66   PetscFunctionBegin;
67   for (i=0; i<m; i++) {
68     if ((ii[i] != ii[i+1]) && ((jj[ii[i]] < bs*(i/bs)) || (jj[ii[i+1]-1] > bs*((i+bs)/bs)-1))) {
69       cnt++;
70     }
71   }
72   ierr = PetscMalloc1(cnt,&rows);CHKERRQ(ierr);
73   cnt  = 0;
74   for (i=0; i<m; i++) {
75     if ((ii[i] != ii[i+1]) && ((jj[ii[i]] < bs*(i/bs)) || (jj[ii[i+1]-1] > bs*((i+bs)/bs)-1))) {
76       rows[cnt] = i;
77       cnt++;
78     }
79   }
80   ierr = ISCreateGeneral(PETSC_COMM_SELF,cnt,rows,PETSC_OWN_POINTER,is);CHKERRQ(ierr);
81   PetscFunctionReturn(0);
82 }
83 
84 PetscErrorCode MatFindZeroDiagonals_SeqAIJ_Private(Mat A,PetscInt *nrows,PetscInt **zrows)
85 {
86   Mat_SeqAIJ      *a  = (Mat_SeqAIJ*)A->data;
87   const MatScalar *aa = a->a;
88   PetscInt        i,m=A->rmap->n,cnt = 0;
89   const PetscInt  *ii = a->i,*jj = a->j,*diag;
90   PetscInt        *rows;
91   PetscErrorCode  ierr;
92 
93   PetscFunctionBegin;
94   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
95   diag = a->diag;
96   for (i=0; i<m; i++) {
97     if ((diag[i] >= ii[i+1]) || (jj[diag[i]] != i) || (aa[diag[i]] == 0.0)) {
98       cnt++;
99     }
100   }
101   ierr = PetscMalloc1(cnt,&rows);CHKERRQ(ierr);
102   cnt  = 0;
103   for (i=0; i<m; i++) {
104     if ((diag[i] >= ii[i+1]) || (jj[diag[i]] != i) || (aa[diag[i]] == 0.0)) {
105       rows[cnt++] = i;
106     }
107   }
108   *nrows = cnt;
109   *zrows = rows;
110   PetscFunctionReturn(0);
111 }
112 
113 PetscErrorCode MatFindZeroDiagonals_SeqAIJ(Mat A,IS *zrows)
114 {
115   PetscInt       nrows,*rows;
116   PetscErrorCode ierr;
117 
118   PetscFunctionBegin;
119   *zrows = NULL;
120   ierr   = MatFindZeroDiagonals_SeqAIJ_Private(A,&nrows,&rows);CHKERRQ(ierr);
121   ierr   = ISCreateGeneral(PetscObjectComm((PetscObject)A),nrows,rows,PETSC_OWN_POINTER,zrows);CHKERRQ(ierr);
122   PetscFunctionReturn(0);
123 }
124 
125 PetscErrorCode MatFindNonzeroRows_SeqAIJ(Mat A,IS *keptrows)
126 {
127   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
128   const MatScalar *aa;
129   PetscInt        m=A->rmap->n,cnt = 0;
130   const PetscInt  *ii;
131   PetscInt        n,i,j,*rows;
132   PetscErrorCode  ierr;
133 
134   PetscFunctionBegin;
135   *keptrows = 0;
136   ii        = a->i;
137   for (i=0; i<m; i++) {
138     n = ii[i+1] - ii[i];
139     if (!n) {
140       cnt++;
141       goto ok1;
142     }
143     aa = a->a + ii[i];
144     for (j=0; j<n; j++) {
145       if (aa[j] != 0.0) goto ok1;
146     }
147     cnt++;
148 ok1:;
149   }
150   if (!cnt) PetscFunctionReturn(0);
151   ierr = PetscMalloc1(A->rmap->n-cnt,&rows);CHKERRQ(ierr);
152   cnt  = 0;
153   for (i=0; i<m; i++) {
154     n = ii[i+1] - ii[i];
155     if (!n) continue;
156     aa = a->a + ii[i];
157     for (j=0; j<n; j++) {
158       if (aa[j] != 0.0) {
159         rows[cnt++] = i;
160         break;
161       }
162     }
163   }
164   ierr = ISCreateGeneral(PETSC_COMM_SELF,cnt,rows,PETSC_OWN_POINTER,keptrows);CHKERRQ(ierr);
165   PetscFunctionReturn(0);
166 }
167 
168 PetscErrorCode  MatDiagonalSet_SeqAIJ(Mat Y,Vec D,InsertMode is)
169 {
170   PetscErrorCode    ierr;
171   Mat_SeqAIJ        *aij = (Mat_SeqAIJ*) Y->data;
172   PetscInt          i,m = Y->rmap->n;
173   const PetscInt    *diag;
174   MatScalar         *aa = aij->a;
175   const PetscScalar *v;
176   PetscBool         missing;
177 
178   PetscFunctionBegin;
179   if (Y->assembled) {
180     ierr = MatMissingDiagonal_SeqAIJ(Y,&missing,NULL);CHKERRQ(ierr);
181     if (!missing) {
182       diag = aij->diag;
183       ierr = VecGetArrayRead(D,&v);CHKERRQ(ierr);
184       if (is == INSERT_VALUES) {
185         for (i=0; i<m; i++) {
186           aa[diag[i]] = v[i];
187         }
188       } else {
189         for (i=0; i<m; i++) {
190           aa[diag[i]] += v[i];
191         }
192       }
193       ierr = VecRestoreArrayRead(D,&v);CHKERRQ(ierr);
194       PetscFunctionReturn(0);
195     }
196     ierr = MatSeqAIJInvalidateDiagonal(Y);CHKERRQ(ierr);
197   }
198   ierr = MatDiagonalSet_Default(Y,D,is);CHKERRQ(ierr);
199   PetscFunctionReturn(0);
200 }
201 
202 PetscErrorCode MatGetRowIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *m,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
203 {
204   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
205   PetscErrorCode ierr;
206   PetscInt       i,ishift;
207 
208   PetscFunctionBegin;
209   *m = A->rmap->n;
210   if (!ia) PetscFunctionReturn(0);
211   ishift = 0;
212   if (symmetric && !A->structurally_symmetric) {
213     ierr = MatToSymmetricIJ_SeqAIJ(A->rmap->n,a->i,a->j,PETSC_TRUE,ishift,oshift,(PetscInt**)ia,(PetscInt**)ja);CHKERRQ(ierr);
214   } else if (oshift == 1) {
215     PetscInt *tia;
216     PetscInt nz = a->i[A->rmap->n];
217     /* malloc space and  add 1 to i and j indices */
218     ierr = PetscMalloc1(A->rmap->n+1,&tia);CHKERRQ(ierr);
219     for (i=0; i<A->rmap->n+1; i++) tia[i] = a->i[i] + 1;
220     *ia = tia;
221     if (ja) {
222       PetscInt *tja;
223       ierr = PetscMalloc1(nz+1,&tja);CHKERRQ(ierr);
224       for (i=0; i<nz; i++) tja[i] = a->j[i] + 1;
225       *ja = tja;
226     }
227   } else {
228     *ia = a->i;
229     if (ja) *ja = a->j;
230   }
231   PetscFunctionReturn(0);
232 }
233 
234 PetscErrorCode MatRestoreRowIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
235 {
236   PetscErrorCode ierr;
237 
238   PetscFunctionBegin;
239   if (!ia) PetscFunctionReturn(0);
240   if ((symmetric && !A->structurally_symmetric) || oshift == 1) {
241     ierr = PetscFree(*ia);CHKERRQ(ierr);
242     if (ja) {ierr = PetscFree(*ja);CHKERRQ(ierr);}
243   }
244   PetscFunctionReturn(0);
245 }
246 
247 PetscErrorCode MatGetColumnIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
248 {
249   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
250   PetscErrorCode ierr;
251   PetscInt       i,*collengths,*cia,*cja,n = A->cmap->n,m = A->rmap->n;
252   PetscInt       nz = a->i[m],row,*jj,mr,col;
253 
254   PetscFunctionBegin;
255   *nn = n;
256   if (!ia) PetscFunctionReturn(0);
257   if (symmetric) {
258     ierr = MatToSymmetricIJ_SeqAIJ(A->rmap->n,a->i,a->j,PETSC_TRUE,0,oshift,(PetscInt**)ia,(PetscInt**)ja);CHKERRQ(ierr);
259   } else {
260     ierr = PetscCalloc1(n+1,&collengths);CHKERRQ(ierr);
261     ierr = PetscMalloc1(n+1,&cia);CHKERRQ(ierr);
262     ierr = PetscMalloc1(nz+1,&cja);CHKERRQ(ierr);
263     jj   = a->j;
264     for (i=0; i<nz; i++) {
265       collengths[jj[i]]++;
266     }
267     cia[0] = oshift;
268     for (i=0; i<n; i++) {
269       cia[i+1] = cia[i] + collengths[i];
270     }
271     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
272     jj   = a->j;
273     for (row=0; row<m; row++) {
274       mr = a->i[row+1] - a->i[row];
275       for (i=0; i<mr; i++) {
276         col = *jj++;
277 
278         cja[cia[col] + collengths[col]++ - oshift] = row + oshift;
279       }
280     }
281     ierr = PetscFree(collengths);CHKERRQ(ierr);
282     *ia  = cia; *ja = cja;
283   }
284   PetscFunctionReturn(0);
285 }
286 
287 PetscErrorCode MatRestoreColumnIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
288 {
289   PetscErrorCode ierr;
290 
291   PetscFunctionBegin;
292   if (!ia) PetscFunctionReturn(0);
293 
294   ierr = PetscFree(*ia);CHKERRQ(ierr);
295   ierr = PetscFree(*ja);CHKERRQ(ierr);
296   PetscFunctionReturn(0);
297 }
298 
299 /*
300  MatGetColumnIJ_SeqAIJ_Color() and MatRestoreColumnIJ_SeqAIJ_Color() are customized from
301  MatGetColumnIJ_SeqAIJ() and MatRestoreColumnIJ_SeqAIJ() by adding an output
302  spidx[], index of a->a, to be used in MatTransposeColoringCreate_SeqAIJ() and MatFDColoringCreate_SeqXAIJ()
303 */
304 PetscErrorCode MatGetColumnIJ_SeqAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
305 {
306   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
307   PetscErrorCode ierr;
308   PetscInt       i,*collengths,*cia,*cja,n = A->cmap->n,m = A->rmap->n;
309   PetscInt       nz = a->i[m],row,*jj,mr,col;
310   PetscInt       *cspidx;
311 
312   PetscFunctionBegin;
313   *nn = n;
314   if (!ia) PetscFunctionReturn(0);
315 
316   ierr = PetscCalloc1(n+1,&collengths);CHKERRQ(ierr);
317   ierr = PetscMalloc1(n+1,&cia);CHKERRQ(ierr);
318   ierr = PetscMalloc1(nz+1,&cja);CHKERRQ(ierr);
319   ierr = PetscMalloc1(nz+1,&cspidx);CHKERRQ(ierr);
320   jj   = a->j;
321   for (i=0; i<nz; i++) {
322     collengths[jj[i]]++;
323   }
324   cia[0] = oshift;
325   for (i=0; i<n; i++) {
326     cia[i+1] = cia[i] + collengths[i];
327   }
328   ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
329   jj   = a->j;
330   for (row=0; row<m; row++) {
331     mr = a->i[row+1] - a->i[row];
332     for (i=0; i<mr; i++) {
333       col = *jj++;
334       cspidx[cia[col] + collengths[col] - oshift] = a->i[row] + i; /* index of a->j */
335       cja[cia[col] + collengths[col]++ - oshift]  = row + oshift;
336     }
337   }
338   ierr   = PetscFree(collengths);CHKERRQ(ierr);
339   *ia    = cia; *ja = cja;
340   *spidx = cspidx;
341   PetscFunctionReturn(0);
342 }
343 
344 PetscErrorCode MatRestoreColumnIJ_SeqAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
345 {
346   PetscErrorCode ierr;
347 
348   PetscFunctionBegin;
349   ierr = MatRestoreColumnIJ_SeqAIJ(A,oshift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
350   ierr = PetscFree(*spidx);CHKERRQ(ierr);
351   PetscFunctionReturn(0);
352 }
353 
354 PetscErrorCode MatSetValuesRow_SeqAIJ(Mat A,PetscInt row,const PetscScalar v[])
355 {
356   Mat_SeqAIJ     *a  = (Mat_SeqAIJ*)A->data;
357   PetscInt       *ai = a->i;
358   PetscErrorCode ierr;
359 
360   PetscFunctionBegin;
361   ierr = PetscMemcpy(a->a+ai[row],v,(ai[row+1]-ai[row])*sizeof(PetscScalar));CHKERRQ(ierr);
362   PetscFunctionReturn(0);
363 }
364 
365 /*
366     MatSeqAIJSetValuesLocalFast - An optimized version of MatSetValuesLocal() for SeqAIJ matrices with several assumptions
367 
368       -   a single row of values is set with each call
369       -   no row or column indices are negative or (in error) larger than the number of rows or columns
370       -   the values are always added to the matrix, not set
371       -   no new locations are introduced in the nonzero structure of the matrix
372 
373      This does NOT assume the global column indices are sorted
374 
375 */
376 
377 #include <petsc/private/isimpl.h>
378 PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
379 {
380   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
381   PetscInt       low,high,t,row,nrow,i,col,l;
382   const PetscInt *rp,*ai = a->i,*ailen = a->ilen,*aj = a->j;
383   PetscInt       lastcol = -1;
384   MatScalar      *ap,value,*aa = a->a;
385   const PetscInt *ridx = A->rmap->mapping->indices,*cidx = A->cmap->mapping->indices;
386 
387   row = ridx[im[0]];
388   rp   = aj + ai[row];
389   ap = aa + ai[row];
390   nrow = ailen[row];
391   low  = 0;
392   high = nrow;
393   for (l=0; l<n; l++) { /* loop over added columns */
394     col = cidx[in[l]];
395     value = v[l];
396 
397     if (col <= lastcol) low = 0;
398     else high = nrow;
399     lastcol = col;
400     while (high-low > 5) {
401       t = (low+high)/2;
402       if (rp[t] > col) high = t;
403       else low = t;
404     }
405     for (i=low; i<high; i++) {
406       if (rp[i] == col) {
407         ap[i] += value;
408         low = i + 1;
409         break;
410       }
411     }
412   }
413   return 0;
414 }
415 
416 PetscErrorCode MatSetValues_SeqAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
417 {
418   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
419   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
420   PetscInt       *imax = a->imax,*ai = a->i,*ailen = a->ilen;
421   PetscErrorCode ierr;
422   PetscInt       *aj = a->j,nonew = a->nonew,lastcol = -1;
423   MatScalar      *ap=NULL,value=0.0,*aa = a->a;
424   PetscBool      ignorezeroentries = a->ignorezeroentries;
425   PetscBool      roworiented       = a->roworiented;
426 
427   PetscFunctionBegin;
428   for (k=0; k<m; k++) { /* loop over added rows */
429     row = im[k];
430     if (row < 0) continue;
431 #if defined(PETSC_USE_DEBUG)
432     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);
433 #endif
434     rp   = aj + ai[row];
435     if (!A->structure_only) ap = aa + ai[row];
436     rmax = imax[row]; nrow = ailen[row];
437     low  = 0;
438     high = nrow;
439     for (l=0; l<n; l++) { /* loop over added columns */
440       if (in[l] < 0) continue;
441 #if defined(PETSC_USE_DEBUG)
442       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);
443 #endif
444       col = in[l];
445       if (!A->structure_only) {
446         if (roworiented) {
447           value = v[l + k*n];
448         } else {
449           value = v[k + l*m];
450         }
451       } else { /* A->structure_only */
452         value = 1; /* avoid 'continue' below?  */
453       }
454       if ((value == 0.0 && ignorezeroentries) && (is == ADD_VALUES) && row != col) continue;
455 
456       if (col <= lastcol) low = 0;
457       else high = nrow;
458       lastcol = col;
459       while (high-low > 5) {
460         t = (low+high)/2;
461         if (rp[t] > col) high = t;
462         else low = t;
463       }
464       for (i=low; i<high; i++) {
465         if (rp[i] > col) break;
466         if (rp[i] == col) {
467           if (!A->structure_only) {
468             if (is == ADD_VALUES) ap[i] += value;
469             else ap[i] = value;
470           }
471           low = i + 1;
472           goto noinsert;
473         }
474       }
475       if (value == 0.0 && ignorezeroentries && row != col) goto noinsert;
476       if (nonew == 1) goto noinsert;
477       if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero at (%D,%D) in the matrix",row,col);
478       if (A->structure_only) {
479         MatSeqXAIJReallocateAIJ_structure_only(A,A->rmap->n,1,nrow,row,col,rmax,ai,aj,rp,imax,nonew,MatScalar);
480       } else {
481         MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
482       }
483       N = nrow++ - 1; a->nz++; high++;
484       /* shift up all the later entries in this row */
485       for (ii=N; ii>=i; ii--) {
486         rp[ii+1] = rp[ii];
487         if (!A->structure_only) ap[ii+1] = ap[ii];
488       }
489       rp[i] = col;
490       if (!A->structure_only) ap[i] = value;
491       low   = i + 1;
492       A->nonzerostate++;
493 noinsert:;
494     }
495     ailen[row] = nrow;
496   }
497   PetscFunctionReturn(0);
498 }
499 
500 
501 PetscErrorCode MatGetValues_SeqAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],PetscScalar v[])
502 {
503   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
504   PetscInt   *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
505   PetscInt   *ai = a->i,*ailen = a->ilen;
506   MatScalar  *ap,*aa = a->a;
507 
508   PetscFunctionBegin;
509   for (k=0; k<m; k++) { /* loop over rows */
510     row = im[k];
511     if (row < 0) {v += n; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",row); */
512     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);
513     rp   = aj + ai[row]; ap = aa + ai[row];
514     nrow = ailen[row];
515     for (l=0; l<n; l++) { /* loop over columns */
516       if (in[l] < 0) {v++; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column: %D",in[l]); */
517       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);
518       col  = in[l];
519       high = nrow; low = 0; /* assume unsorted */
520       while (high-low > 5) {
521         t = (low+high)/2;
522         if (rp[t] > col) high = t;
523         else low = t;
524       }
525       for (i=low; i<high; i++) {
526         if (rp[i] > col) break;
527         if (rp[i] == col) {
528           *v++ = ap[i];
529           goto finished;
530         }
531       }
532       *v++ = 0.0;
533 finished:;
534     }
535   }
536   PetscFunctionReturn(0);
537 }
538 
539 
540 PetscErrorCode MatView_SeqAIJ_Binary(Mat A,PetscViewer viewer)
541 {
542   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
543   PetscErrorCode ierr;
544   PetscInt       i,*col_lens;
545   int            fd;
546   FILE           *file;
547 
548   PetscFunctionBegin;
549   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
550   ierr = PetscMalloc1(4+A->rmap->n,&col_lens);CHKERRQ(ierr);
551 
552   col_lens[0] = MAT_FILE_CLASSID;
553   col_lens[1] = A->rmap->n;
554   col_lens[2] = A->cmap->n;
555   col_lens[3] = a->nz;
556 
557   /* store lengths of each row and write (including header) to file */
558   for (i=0; i<A->rmap->n; i++) {
559     col_lens[4+i] = a->i[i+1] - a->i[i];
560   }
561   ierr = PetscBinaryWrite(fd,col_lens,4+A->rmap->n,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
562   ierr = PetscFree(col_lens);CHKERRQ(ierr);
563 
564   /* store column indices (zero start index) */
565   ierr = PetscBinaryWrite(fd,a->j,a->nz,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
566 
567   /* store nonzero values */
568   ierr = PetscBinaryWrite(fd,a->a,a->nz,PETSC_SCALAR,PETSC_FALSE);CHKERRQ(ierr);
569 
570   ierr = PetscViewerBinaryGetInfoPointer(viewer,&file);CHKERRQ(ierr);
571   if (file) {
572     fprintf(file,"-matload_block_size %d\n",(int)PetscAbs(A->rmap->bs));
573   }
574   PetscFunctionReturn(0);
575 }
576 
577 static PetscErrorCode MatView_SeqAIJ_ASCII_structonly(Mat A,PetscViewer viewer)
578 {
579   PetscErrorCode ierr;
580   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
581   PetscInt       i,k,m=A->rmap->N;
582 
583   PetscFunctionBegin;
584   ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
585   for (i=0; i<m; i++) {
586     ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
587     for (k=a->i[i]; k<a->i[i+1]; k++) {
588       ierr = PetscViewerASCIIPrintf(viewer," (%D) ",a->j[k]);CHKERRQ(ierr);
589     }
590     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
591   }
592   ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
593   PetscFunctionReturn(0);
594 }
595 
596 extern PetscErrorCode MatSeqAIJFactorInfo_Matlab(Mat,PetscViewer);
597 
598 PetscErrorCode MatView_SeqAIJ_ASCII(Mat A,PetscViewer viewer)
599 {
600   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
601   PetscErrorCode    ierr;
602   PetscInt          i,j,m = A->rmap->n;
603   const char        *name;
604   PetscViewerFormat format;
605 
606   PetscFunctionBegin;
607   if (A->structure_only) {
608     ierr = MatView_SeqAIJ_ASCII_structonly(A,viewer);CHKERRQ(ierr);
609     PetscFunctionReturn(0);
610   }
611 
612   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
613   if (format == PETSC_VIEWER_ASCII_MATLAB) {
614     PetscInt nofinalvalue = 0;
615     if (m && ((a->i[m] == a->i[m-1]) || (a->j[a->nz-1] != A->cmap->n-1))) {
616       /* Need a dummy value to ensure the dimension of the matrix. */
617       nofinalvalue = 1;
618     }
619     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
620     ierr = PetscViewerASCIIPrintf(viewer,"%% Size = %D %D \n",m,A->cmap->n);CHKERRQ(ierr);
621     ierr = PetscViewerASCIIPrintf(viewer,"%% Nonzeros = %D \n",a->nz);CHKERRQ(ierr);
622 #if defined(PETSC_USE_COMPLEX)
623     ierr = PetscViewerASCIIPrintf(viewer,"zzz = zeros(%D,4);\n",a->nz+nofinalvalue);CHKERRQ(ierr);
624 #else
625     ierr = PetscViewerASCIIPrintf(viewer,"zzz = zeros(%D,3);\n",a->nz+nofinalvalue);CHKERRQ(ierr);
626 #endif
627     ierr = PetscViewerASCIIPrintf(viewer,"zzz = [\n");CHKERRQ(ierr);
628 
629     for (i=0; i<m; i++) {
630       for (j=a->i[i]; j<a->i[i+1]; j++) {
631 #if defined(PETSC_USE_COMPLEX)
632         ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e %18.16e\n",i+1,a->j[j]+1,(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
633 #else
634         ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e\n",i+1,a->j[j]+1,(double)a->a[j]);CHKERRQ(ierr);
635 #endif
636       }
637     }
638     if (nofinalvalue) {
639 #if defined(PETSC_USE_COMPLEX)
640       ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e %18.16e\n",m,A->cmap->n,0.,0.);CHKERRQ(ierr);
641 #else
642       ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e\n",m,A->cmap->n,0.0);CHKERRQ(ierr);
643 #endif
644     }
645     ierr = PetscObjectGetName((PetscObject)A,&name);CHKERRQ(ierr);
646     ierr = PetscViewerASCIIPrintf(viewer,"];\n %s = spconvert(zzz);\n",name);CHKERRQ(ierr);
647     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
648   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO || format == PETSC_VIEWER_ASCII_INFO) {
649     PetscFunctionReturn(0);
650   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
651     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
652     for (i=0; i<m; i++) {
653       ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
654       for (j=a->i[i]; j<a->i[i+1]; j++) {
655 #if defined(PETSC_USE_COMPLEX)
656         if (PetscImaginaryPart(a->a[j]) > 0.0 && PetscRealPart(a->a[j]) != 0.0) {
657           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
658         } else if (PetscImaginaryPart(a->a[j]) < 0.0 && PetscRealPart(a->a[j]) != 0.0) {
659           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
660         } else if (PetscRealPart(a->a[j]) != 0.0) {
661           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
662         }
663 #else
664         if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);}
665 #endif
666       }
667       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
668     }
669     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
670   } else if (format == PETSC_VIEWER_ASCII_SYMMODU) {
671     PetscInt nzd=0,fshift=1,*sptr;
672     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
673     ierr = PetscMalloc1(m+1,&sptr);CHKERRQ(ierr);
674     for (i=0; i<m; i++) {
675       sptr[i] = nzd+1;
676       for (j=a->i[i]; j<a->i[i+1]; j++) {
677         if (a->j[j] >= i) {
678 #if defined(PETSC_USE_COMPLEX)
679           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) nzd++;
680 #else
681           if (a->a[j] != 0.0) nzd++;
682 #endif
683         }
684       }
685     }
686     sptr[m] = nzd+1;
687     ierr    = PetscViewerASCIIPrintf(viewer," %D %D\n\n",m,nzd);CHKERRQ(ierr);
688     for (i=0; i<m+1; i+=6) {
689       if (i+4<m) {
690         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2],sptr[i+3],sptr[i+4],sptr[i+5]);CHKERRQ(ierr);
691       } else if (i+3<m) {
692         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2],sptr[i+3],sptr[i+4]);CHKERRQ(ierr);
693       } else if (i+2<m) {
694         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2],sptr[i+3]);CHKERRQ(ierr);
695       } else if (i+1<m) {
696         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2]);CHKERRQ(ierr);
697       } else if (i<m) {
698         ierr = PetscViewerASCIIPrintf(viewer," %D %D\n",sptr[i],sptr[i+1]);CHKERRQ(ierr);
699       } else {
700         ierr = PetscViewerASCIIPrintf(viewer," %D\n",sptr[i]);CHKERRQ(ierr);
701       }
702     }
703     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
704     ierr = PetscFree(sptr);CHKERRQ(ierr);
705     for (i=0; i<m; i++) {
706       for (j=a->i[i]; j<a->i[i+1]; j++) {
707         if (a->j[j] >= i) {ierr = PetscViewerASCIIPrintf(viewer," %D ",a->j[j]+fshift);CHKERRQ(ierr);}
708       }
709       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
710     }
711     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
712     for (i=0; i<m; i++) {
713       for (j=a->i[i]; j<a->i[i+1]; j++) {
714         if (a->j[j] >= i) {
715 #if defined(PETSC_USE_COMPLEX)
716           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) {
717             ierr = PetscViewerASCIIPrintf(viewer," %18.16e %18.16e ",(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
718           }
719 #else
720           if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," %18.16e ",(double)a->a[j]);CHKERRQ(ierr);}
721 #endif
722         }
723       }
724       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
725     }
726     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
727   } else if (format == PETSC_VIEWER_ASCII_DENSE) {
728     PetscInt    cnt = 0,jcnt;
729     PetscScalar value;
730 #if defined(PETSC_USE_COMPLEX)
731     PetscBool   realonly = PETSC_TRUE;
732 
733     for (i=0; i<a->i[m]; i++) {
734       if (PetscImaginaryPart(a->a[i]) != 0.0) {
735         realonly = PETSC_FALSE;
736         break;
737       }
738     }
739 #endif
740 
741     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
742     for (i=0; i<m; i++) {
743       jcnt = 0;
744       for (j=0; j<A->cmap->n; j++) {
745         if (jcnt < a->i[i+1]-a->i[i] && j == a->j[cnt]) {
746           value = a->a[cnt++];
747           jcnt++;
748         } else {
749           value = 0.0;
750         }
751 #if defined(PETSC_USE_COMPLEX)
752         if (realonly) {
753           ierr = PetscViewerASCIIPrintf(viewer," %7.5e ",(double)PetscRealPart(value));CHKERRQ(ierr);
754         } else {
755           ierr = PetscViewerASCIIPrintf(viewer," %7.5e+%7.5e i ",(double)PetscRealPart(value),(double)PetscImaginaryPart(value));CHKERRQ(ierr);
756         }
757 #else
758         ierr = PetscViewerASCIIPrintf(viewer," %7.5e ",(double)value);CHKERRQ(ierr);
759 #endif
760       }
761       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
762     }
763     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
764   } else if (format == PETSC_VIEWER_ASCII_MATRIXMARKET) {
765     PetscInt fshift=1;
766     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
767 #if defined(PETSC_USE_COMPLEX)
768     ierr = PetscViewerASCIIPrintf(viewer,"%%%%MatrixMarket matrix coordinate complex general\n");CHKERRQ(ierr);
769 #else
770     ierr = PetscViewerASCIIPrintf(viewer,"%%%%MatrixMarket matrix coordinate real general\n");CHKERRQ(ierr);
771 #endif
772     ierr = PetscViewerASCIIPrintf(viewer,"%D %D %D\n", m, A->cmap->n, a->nz);CHKERRQ(ierr);
773     for (i=0; i<m; i++) {
774       for (j=a->i[i]; j<a->i[i+1]; j++) {
775 #if defined(PETSC_USE_COMPLEX)
776         ierr = PetscViewerASCIIPrintf(viewer,"%D %D %g %g\n", i+fshift,a->j[j]+fshift,(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
777 #else
778         ierr = PetscViewerASCIIPrintf(viewer,"%D %D %g\n", i+fshift, a->j[j]+fshift, (double)a->a[j]);CHKERRQ(ierr);
779 #endif
780       }
781     }
782     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
783   } else {
784     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
785     if (A->factortype) {
786       for (i=0; i<m; i++) {
787         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
788         /* L part */
789         for (j=a->i[i]; j<a->i[i+1]; j++) {
790 #if defined(PETSC_USE_COMPLEX)
791           if (PetscImaginaryPart(a->a[j]) > 0.0) {
792             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
793           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
794             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)(-PetscImaginaryPart(a->a[j])));CHKERRQ(ierr);
795           } else {
796             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
797           }
798 #else
799           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);
800 #endif
801         }
802         /* diagonal */
803         j = a->diag[i];
804 #if defined(PETSC_USE_COMPLEX)
805         if (PetscImaginaryPart(a->a[j]) > 0.0) {
806           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(1.0/a->a[j]),(double)PetscImaginaryPart(1.0/a->a[j]));CHKERRQ(ierr);
807         } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
808           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(1.0/a->a[j]),(double)(-PetscImaginaryPart(1.0/a->a[j])));CHKERRQ(ierr);
809         } else {
810           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(1.0/a->a[j]));CHKERRQ(ierr);
811         }
812 #else
813         ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)(1.0/a->a[j]));CHKERRQ(ierr);
814 #endif
815 
816         /* U part */
817         for (j=a->diag[i+1]+1; j<a->diag[i]; j++) {
818 #if defined(PETSC_USE_COMPLEX)
819           if (PetscImaginaryPart(a->a[j]) > 0.0) {
820             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
821           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
822             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)(-PetscImaginaryPart(a->a[j])));CHKERRQ(ierr);
823           } else {
824             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
825           }
826 #else
827           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);
828 #endif
829         }
830         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
831       }
832     } else {
833       for (i=0; i<m; i++) {
834         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
835         for (j=a->i[i]; j<a->i[i+1]; j++) {
836 #if defined(PETSC_USE_COMPLEX)
837           if (PetscImaginaryPart(a->a[j]) > 0.0) {
838             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
839           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
840             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
841           } else {
842             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
843           }
844 #else
845           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);
846 #endif
847         }
848         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
849       }
850     }
851     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
852   }
853   ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
854   PetscFunctionReturn(0);
855 }
856 
857 #include <petscdraw.h>
858 PetscErrorCode MatView_SeqAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
859 {
860   Mat               A  = (Mat) Aa;
861   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
862   PetscErrorCode    ierr;
863   PetscInt          i,j,m = A->rmap->n;
864   int               color;
865   PetscReal         xl,yl,xr,yr,x_l,x_r,y_l,y_r;
866   PetscViewer       viewer;
867   PetscViewerFormat format;
868 
869   PetscFunctionBegin;
870   ierr = PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer);CHKERRQ(ierr);
871   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
872   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
873 
874   /* loop over matrix elements drawing boxes */
875 
876   if (format != PETSC_VIEWER_DRAW_CONTOUR) {
877     ierr = PetscDrawCollectiveBegin(draw);CHKERRQ(ierr);
878     /* Blue for negative, Cyan for zero and  Red for positive */
879     color = PETSC_DRAW_BLUE;
880     for (i=0; i<m; i++) {
881       y_l = m - i - 1.0; y_r = y_l + 1.0;
882       for (j=a->i[i]; j<a->i[i+1]; j++) {
883         x_l = a->j[j]; x_r = x_l + 1.0;
884         if (PetscRealPart(a->a[j]) >=  0.) continue;
885         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
886       }
887     }
888     color = PETSC_DRAW_CYAN;
889     for (i=0; i<m; i++) {
890       y_l = m - i - 1.0; y_r = y_l + 1.0;
891       for (j=a->i[i]; j<a->i[i+1]; j++) {
892         x_l = a->j[j]; x_r = x_l + 1.0;
893         if (a->a[j] !=  0.) continue;
894         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
895       }
896     }
897     color = PETSC_DRAW_RED;
898     for (i=0; i<m; i++) {
899       y_l = m - i - 1.0; y_r = y_l + 1.0;
900       for (j=a->i[i]; j<a->i[i+1]; j++) {
901         x_l = a->j[j]; x_r = x_l + 1.0;
902         if (PetscRealPart(a->a[j]) <=  0.) continue;
903         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
904       }
905     }
906     ierr = PetscDrawCollectiveEnd(draw);CHKERRQ(ierr);
907   } else {
908     /* use contour shading to indicate magnitude of values */
909     /* first determine max of all nonzero values */
910     PetscReal minv = 0.0, maxv = 0.0;
911     PetscInt  nz = a->nz, count = 0;
912     PetscDraw popup;
913 
914     for (i=0; i<nz; i++) {
915       if (PetscAbsScalar(a->a[i]) > maxv) maxv = PetscAbsScalar(a->a[i]);
916     }
917     if (minv >= maxv) maxv = minv + PETSC_SMALL;
918     ierr = PetscDrawGetPopup(draw,&popup);CHKERRQ(ierr);
919     ierr = PetscDrawScalePopup(popup,minv,maxv);CHKERRQ(ierr);
920 
921     ierr = PetscDrawCollectiveBegin(draw);CHKERRQ(ierr);
922     for (i=0; i<m; i++) {
923       y_l = m - i - 1.0;
924       y_r = y_l + 1.0;
925       for (j=a->i[i]; j<a->i[i+1]; j++) {
926         x_l = a->j[j];
927         x_r = x_l + 1.0;
928         color = PetscDrawRealToColor(PetscAbsScalar(a->a[count]),minv,maxv);
929         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
930         count++;
931       }
932     }
933     ierr = PetscDrawCollectiveEnd(draw);CHKERRQ(ierr);
934   }
935   PetscFunctionReturn(0);
936 }
937 
938 #include <petscdraw.h>
939 PetscErrorCode MatView_SeqAIJ_Draw(Mat A,PetscViewer viewer)
940 {
941   PetscErrorCode ierr;
942   PetscDraw      draw;
943   PetscReal      xr,yr,xl,yl,h,w;
944   PetscBool      isnull;
945 
946   PetscFunctionBegin;
947   ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
948   ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr);
949   if (isnull) PetscFunctionReturn(0);
950 
951   xr   = A->cmap->n; yr  = A->rmap->n; h = yr/10.0; w = xr/10.0;
952   xr  += w;          yr += h;         xl = -w;     yl = -h;
953   ierr = PetscDrawSetCoordinates(draw,xl,yl,xr,yr);CHKERRQ(ierr);
954   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer);CHKERRQ(ierr);
955   ierr = PetscDrawZoom(draw,MatView_SeqAIJ_Draw_Zoom,A);CHKERRQ(ierr);
956   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",NULL);CHKERRQ(ierr);
957   ierr = PetscDrawSave(draw);CHKERRQ(ierr);
958   PetscFunctionReturn(0);
959 }
960 
961 PetscErrorCode MatView_SeqAIJ(Mat A,PetscViewer viewer)
962 {
963   PetscErrorCode ierr;
964   PetscBool      iascii,isbinary,isdraw;
965 
966   PetscFunctionBegin;
967   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
968   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
969   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
970   if (iascii) {
971     ierr = MatView_SeqAIJ_ASCII(A,viewer);CHKERRQ(ierr);
972   } else if (isbinary) {
973     ierr = MatView_SeqAIJ_Binary(A,viewer);CHKERRQ(ierr);
974   } else if (isdraw) {
975     ierr = MatView_SeqAIJ_Draw(A,viewer);CHKERRQ(ierr);
976   }
977   ierr = MatView_SeqAIJ_Inode(A,viewer);CHKERRQ(ierr);
978   PetscFunctionReturn(0);
979 }
980 
981 PetscErrorCode MatAssemblyEnd_SeqAIJ(Mat A,MatAssemblyType mode)
982 {
983   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
984   PetscErrorCode ierr;
985   PetscInt       fshift = 0,i,j,*ai = a->i,*aj = a->j,*imax = a->imax;
986   PetscInt       m      = A->rmap->n,*ip,N,*ailen = a->ilen,rmax = 0;
987   MatScalar      *aa    = a->a,*ap;
988   PetscReal      ratio  = 0.6;
989 
990   PetscFunctionBegin;
991   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
992 
993   if (m) rmax = ailen[0]; /* determine row with most nonzeros */
994   for (i=1; i<m; i++) {
995     /* move each row back by the amount of empty slots (fshift) before it*/
996     fshift += imax[i-1] - ailen[i-1];
997     rmax    = PetscMax(rmax,ailen[i]);
998     if (fshift) {
999       ip = aj + ai[i];
1000       ap = aa + ai[i];
1001       N  = ailen[i];
1002       for (j=0; j<N; j++) {
1003         ip[j-fshift] = ip[j];
1004         if (!A->structure_only) ap[j-fshift] = ap[j];
1005       }
1006     }
1007     ai[i] = ai[i-1] + ailen[i-1];
1008   }
1009   if (m) {
1010     fshift += imax[m-1] - ailen[m-1];
1011     ai[m]   = ai[m-1] + ailen[m-1];
1012   }
1013 
1014   /* reset ilen and imax for each row */
1015   a->nonzerorowcnt = 0;
1016   if (A->structure_only) {
1017     ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);
1018   } else { /* !A->structure_only */
1019     for (i=0; i<m; i++) {
1020       ailen[i] = imax[i] = ai[i+1] - ai[i];
1021       a->nonzerorowcnt += ((ai[i+1] - ai[i]) > 0);
1022     }
1023   }
1024   a->nz = ai[m];
1025   if (fshift && a->nounused == -1) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_PLIB, "Unused space detected in matrix: %D X %D, %D unneeded", m, A->cmap->n, fshift);
1026 
1027   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1028   ierr = PetscInfo4(A,"Matrix size: %D X %D; storage space: %D unneeded,%D used\n",m,A->cmap->n,fshift,a->nz);CHKERRQ(ierr);
1029   ierr = PetscInfo1(A,"Number of mallocs during MatSetValues() is %D\n",a->reallocs);CHKERRQ(ierr);
1030   ierr = PetscInfo1(A,"Maximum nonzeros in any row is %D\n",rmax);CHKERRQ(ierr);
1031 
1032   A->info.mallocs    += a->reallocs;
1033   a->reallocs         = 0;
1034   A->info.nz_unneeded = (PetscReal)fshift;
1035   a->rmax             = rmax;
1036 
1037   if (!A->structure_only) {
1038     ierr = MatCheckCompressedRow(A,a->nonzerorowcnt,&a->compressedrow,a->i,m,ratio);CHKERRQ(ierr);
1039   }
1040   ierr = MatAssemblyEnd_SeqAIJ_Inode(A,mode);CHKERRQ(ierr);
1041   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1042   PetscFunctionReturn(0);
1043 }
1044 
1045 PetscErrorCode MatRealPart_SeqAIJ(Mat A)
1046 {
1047   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1048   PetscInt       i,nz = a->nz;
1049   MatScalar      *aa = a->a;
1050   PetscErrorCode ierr;
1051 
1052   PetscFunctionBegin;
1053   for (i=0; i<nz; i++) aa[i] = PetscRealPart(aa[i]);
1054   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1055   PetscFunctionReturn(0);
1056 }
1057 
1058 PetscErrorCode MatImaginaryPart_SeqAIJ(Mat A)
1059 {
1060   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1061   PetscInt       i,nz = a->nz;
1062   MatScalar      *aa = a->a;
1063   PetscErrorCode ierr;
1064 
1065   PetscFunctionBegin;
1066   for (i=0; i<nz; i++) aa[i] = PetscImaginaryPart(aa[i]);
1067   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1068   PetscFunctionReturn(0);
1069 }
1070 
1071 PetscErrorCode MatZeroEntries_SeqAIJ(Mat A)
1072 {
1073   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1074   PetscErrorCode ierr;
1075 
1076   PetscFunctionBegin;
1077   ierr = PetscMemzero(a->a,(a->i[A->rmap->n])*sizeof(PetscScalar));CHKERRQ(ierr);
1078   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1079   PetscFunctionReturn(0);
1080 }
1081 
1082 PetscErrorCode MatDestroy_SeqAIJ(Mat A)
1083 {
1084   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1085   PetscErrorCode ierr;
1086 
1087   PetscFunctionBegin;
1088 #if defined(PETSC_USE_LOG)
1089   PetscLogObjectState((PetscObject)A,"Rows=%D, Cols=%D, NZ=%D",A->rmap->n,A->cmap->n,a->nz);
1090 #endif
1091   ierr = MatSeqXAIJFreeAIJ(A,&a->a,&a->j,&a->i);CHKERRQ(ierr);
1092   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
1093   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
1094   ierr = PetscFree(a->diag);CHKERRQ(ierr);
1095   ierr = PetscFree(a->ibdiag);CHKERRQ(ierr);
1096   ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);
1097   ierr = PetscFree(a->ipre);CHKERRQ(ierr);
1098   ierr = PetscFree3(a->idiag,a->mdiag,a->ssor_work);CHKERRQ(ierr);
1099   ierr = PetscFree(a->solve_work);CHKERRQ(ierr);
1100   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
1101   ierr = PetscFree(a->saved_values);CHKERRQ(ierr);
1102   ierr = ISColoringDestroy(&a->coloring);CHKERRQ(ierr);
1103   ierr = PetscFree2(a->compressedrow.i,a->compressedrow.rindex);CHKERRQ(ierr);
1104   ierr = PetscFree(a->matmult_abdense);CHKERRQ(ierr);
1105 
1106   ierr = MatDestroy_SeqAIJ_Inode(A);CHKERRQ(ierr);
1107   ierr = PetscFree(A->data);CHKERRQ(ierr);
1108 
1109   ierr = PetscObjectChangeTypeName((PetscObject)A,0);CHKERRQ(ierr);
1110   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetColumnIndices_C",NULL);CHKERRQ(ierr);
1111   ierr = PetscObjectComposeFunction((PetscObject)A,"MatStoreValues_C",NULL);CHKERRQ(ierr);
1112   ierr = PetscObjectComposeFunction((PetscObject)A,"MatRetrieveValues_C",NULL);CHKERRQ(ierr);
1113   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqsbaij_C",NULL);CHKERRQ(ierr);
1114   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqbaij_C",NULL);CHKERRQ(ierr);
1115   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqaijperm_C",NULL);CHKERRQ(ierr);
1116 #if defined(PETSC_HAVE_ELEMENTAL)
1117   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_elemental_C",NULL);CHKERRQ(ierr);
1118 #endif
1119 #if defined(PETSC_HAVE_HYPRE)
1120   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_hypre_C",NULL);CHKERRQ(ierr);
1121   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMatMatMult_transpose_seqaij_seqaij_C",NULL);CHKERRQ(ierr);
1122 #endif
1123   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqdense_C",NULL);CHKERRQ(ierr);
1124   ierr = PetscObjectComposeFunction((PetscObject)A,"MatIsTranspose_C",NULL);CHKERRQ(ierr);
1125   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetPreallocation_C",NULL);CHKERRQ(ierr);
1126   ierr = PetscObjectComposeFunction((PetscObject)A,"MatResetPreallocation_C",NULL);CHKERRQ(ierr);
1127   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetPreallocationCSR_C",NULL);CHKERRQ(ierr);
1128   ierr = PetscObjectComposeFunction((PetscObject)A,"MatReorderForNonzeroDiagonal_C",NULL);CHKERRQ(ierr);
1129   PetscFunctionReturn(0);
1130 }
1131 
1132 PetscErrorCode MatSetOption_SeqAIJ(Mat A,MatOption op,PetscBool flg)
1133 {
1134   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1135   PetscErrorCode ierr;
1136 
1137   PetscFunctionBegin;
1138   switch (op) {
1139   case MAT_ROW_ORIENTED:
1140     a->roworiented = flg;
1141     break;
1142   case MAT_KEEP_NONZERO_PATTERN:
1143     a->keepnonzeropattern = flg;
1144     break;
1145   case MAT_NEW_NONZERO_LOCATIONS:
1146     a->nonew = (flg ? 0 : 1);
1147     break;
1148   case MAT_NEW_NONZERO_LOCATION_ERR:
1149     a->nonew = (flg ? -1 : 0);
1150     break;
1151   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1152     a->nonew = (flg ? -2 : 0);
1153     break;
1154   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1155     a->nounused = (flg ? -1 : 0);
1156     break;
1157   case MAT_IGNORE_ZERO_ENTRIES:
1158     a->ignorezeroentries = flg;
1159     break;
1160   case MAT_SPD:
1161   case MAT_SYMMETRIC:
1162   case MAT_STRUCTURALLY_SYMMETRIC:
1163   case MAT_HERMITIAN:
1164   case MAT_SYMMETRY_ETERNAL:
1165   case MAT_STRUCTURE_ONLY:
1166     /* These options are handled directly by MatSetOption() */
1167     break;
1168   case MAT_NEW_DIAGONALS:
1169   case MAT_IGNORE_OFF_PROC_ENTRIES:
1170   case MAT_USE_HASH_TABLE:
1171     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1172     break;
1173   case MAT_USE_INODES:
1174     /* Not an error because MatSetOption_SeqAIJ_Inode handles this one */
1175     break;
1176   case MAT_SUBMAT_SINGLEIS:
1177     A->submat_singleis = flg;
1178     break;
1179   default:
1180     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
1181   }
1182   ierr = MatSetOption_SeqAIJ_Inode(A,op,flg);CHKERRQ(ierr);
1183   PetscFunctionReturn(0);
1184 }
1185 
1186 PetscErrorCode MatGetDiagonal_SeqAIJ(Mat A,Vec v)
1187 {
1188   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1189   PetscErrorCode ierr;
1190   PetscInt       i,j,n,*ai=a->i,*aj=a->j,nz;
1191   PetscScalar    *aa=a->a,*x,zero=0.0;
1192 
1193   PetscFunctionBegin;
1194   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
1195   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
1196 
1197   if (A->factortype == MAT_FACTOR_ILU || A->factortype == MAT_FACTOR_LU) {
1198     PetscInt *diag=a->diag;
1199     ierr = VecGetArray(v,&x);CHKERRQ(ierr);
1200     for (i=0; i<n; i++) x[i] = 1.0/aa[diag[i]];
1201     ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
1202     PetscFunctionReturn(0);
1203   }
1204 
1205   ierr = VecSet(v,zero);CHKERRQ(ierr);
1206   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
1207   for (i=0; i<n; i++) {
1208     nz = ai[i+1] - ai[i];
1209     if (!nz) x[i] = 0.0;
1210     for (j=ai[i]; j<ai[i+1]; j++) {
1211       if (aj[j] == i) {
1212         x[i] = aa[j];
1213         break;
1214       }
1215     }
1216   }
1217   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
1218   PetscFunctionReturn(0);
1219 }
1220 
1221 #include <../src/mat/impls/aij/seq/ftn-kernels/fmult.h>
1222 PetscErrorCode MatMultTransposeAdd_SeqAIJ(Mat A,Vec xx,Vec zz,Vec yy)
1223 {
1224   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1225   PetscScalar       *y;
1226   const PetscScalar *x;
1227   PetscErrorCode    ierr;
1228   PetscInt          m = A->rmap->n;
1229 #if !defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
1230   const MatScalar   *v;
1231   PetscScalar       alpha;
1232   PetscInt          n,i,j;
1233   const PetscInt    *idx,*ii,*ridx=NULL;
1234   Mat_CompressedRow cprow    = a->compressedrow;
1235   PetscBool         usecprow = cprow.use;
1236 #endif
1237 
1238   PetscFunctionBegin;
1239   if (zz != yy) {ierr = VecCopy(zz,yy);CHKERRQ(ierr);}
1240   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1241   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1242 
1243 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
1244   fortranmulttransposeaddaij_(&m,x,a->i,a->j,a->a,y);
1245 #else
1246   if (usecprow) {
1247     m    = cprow.nrows;
1248     ii   = cprow.i;
1249     ridx = cprow.rindex;
1250   } else {
1251     ii = a->i;
1252   }
1253   for (i=0; i<m; i++) {
1254     idx = a->j + ii[i];
1255     v   = a->a + ii[i];
1256     n   = ii[i+1] - ii[i];
1257     if (usecprow) {
1258       alpha = x[ridx[i]];
1259     } else {
1260       alpha = x[i];
1261     }
1262     for (j=0; j<n; j++) y[idx[j]] += alpha*v[j];
1263   }
1264 #endif
1265   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1266   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1267   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1268   PetscFunctionReturn(0);
1269 }
1270 
1271 PetscErrorCode MatMultTranspose_SeqAIJ(Mat A,Vec xx,Vec yy)
1272 {
1273   PetscErrorCode ierr;
1274 
1275   PetscFunctionBegin;
1276   ierr = VecSet(yy,0.0);CHKERRQ(ierr);
1277   ierr = MatMultTransposeAdd_SeqAIJ(A,xx,yy,yy);CHKERRQ(ierr);
1278   PetscFunctionReturn(0);
1279 }
1280 
1281 #include <../src/mat/impls/aij/seq/ftn-kernels/fmult.h>
1282 
1283 PetscErrorCode MatMult_SeqAIJ(Mat A,Vec xx,Vec yy)
1284 {
1285   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1286   PetscScalar       *y;
1287   const PetscScalar *x;
1288   const MatScalar   *aa;
1289   PetscErrorCode    ierr;
1290   PetscInt          m=A->rmap->n;
1291   const PetscInt    *aj,*ii,*ridx=NULL;
1292   PetscInt          n,i;
1293   PetscScalar       sum;
1294   PetscBool         usecprow=a->compressedrow.use;
1295 
1296 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
1297 #pragma disjoint(*x,*y,*aa)
1298 #endif
1299 
1300   PetscFunctionBegin;
1301   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1302   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1303   ii   = a->i;
1304   if (usecprow) { /* use compressed row format */
1305     ierr = PetscMemzero(y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1306     m    = a->compressedrow.nrows;
1307     ii   = a->compressedrow.i;
1308     ridx = a->compressedrow.rindex;
1309     for (i=0; i<m; i++) {
1310       n           = ii[i+1] - ii[i];
1311       aj          = a->j + ii[i];
1312       aa          = a->a + ii[i];
1313       sum         = 0.0;
1314       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1315       /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */
1316       y[*ridx++] = sum;
1317     }
1318   } else { /* do not use compressed row format */
1319 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTAIJ)
1320     aj   = a->j;
1321     aa   = a->a;
1322     fortranmultaij_(&m,x,ii,aj,aa,y);
1323 #else
1324     for (i=0; i<m; i++) {
1325       n           = ii[i+1] - ii[i];
1326       aj          = a->j + ii[i];
1327       aa          = a->a + ii[i];
1328       sum         = 0.0;
1329       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1330       y[i] = sum;
1331     }
1332 #endif
1333   }
1334   ierr = PetscLogFlops(2.0*a->nz - a->nonzerorowcnt);CHKERRQ(ierr);
1335   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1336   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1337   PetscFunctionReturn(0);
1338 }
1339 
1340 PetscErrorCode MatMultMax_SeqAIJ(Mat A,Vec xx,Vec yy)
1341 {
1342   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1343   PetscScalar       *y;
1344   const PetscScalar *x;
1345   const MatScalar   *aa;
1346   PetscErrorCode    ierr;
1347   PetscInt          m=A->rmap->n;
1348   const PetscInt    *aj,*ii,*ridx=NULL;
1349   PetscInt          n,i,nonzerorow=0;
1350   PetscScalar       sum;
1351   PetscBool         usecprow=a->compressedrow.use;
1352 
1353 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
1354 #pragma disjoint(*x,*y,*aa)
1355 #endif
1356 
1357   PetscFunctionBegin;
1358   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1359   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1360   if (usecprow) { /* use compressed row format */
1361     m    = a->compressedrow.nrows;
1362     ii   = a->compressedrow.i;
1363     ridx = a->compressedrow.rindex;
1364     for (i=0; i<m; i++) {
1365       n           = ii[i+1] - ii[i];
1366       aj          = a->j + ii[i];
1367       aa          = a->a + ii[i];
1368       sum         = 0.0;
1369       nonzerorow += (n>0);
1370       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1371       /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */
1372       y[*ridx++] = sum;
1373     }
1374   } else { /* do not use compressed row format */
1375     ii = a->i;
1376     for (i=0; i<m; i++) {
1377       n           = ii[i+1] - ii[i];
1378       aj          = a->j + ii[i];
1379       aa          = a->a + ii[i];
1380       sum         = 0.0;
1381       nonzerorow += (n>0);
1382       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1383       y[i] = sum;
1384     }
1385   }
1386   ierr = PetscLogFlops(2.0*a->nz - nonzerorow);CHKERRQ(ierr);
1387   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1388   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1389   PetscFunctionReturn(0);
1390 }
1391 
1392 PetscErrorCode MatMultAddMax_SeqAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1393 {
1394   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1395   PetscScalar       *y,*z;
1396   const PetscScalar *x;
1397   const MatScalar   *aa;
1398   PetscErrorCode    ierr;
1399   PetscInt          m = A->rmap->n,*aj,*ii;
1400   PetscInt          n,i,*ridx=NULL;
1401   PetscScalar       sum;
1402   PetscBool         usecprow=a->compressedrow.use;
1403 
1404   PetscFunctionBegin;
1405   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1406   ierr = VecGetArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1407   if (usecprow) { /* use compressed row format */
1408     if (zz != yy) {
1409       ierr = PetscMemcpy(z,y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1410     }
1411     m    = a->compressedrow.nrows;
1412     ii   = a->compressedrow.i;
1413     ridx = a->compressedrow.rindex;
1414     for (i=0; i<m; i++) {
1415       n   = ii[i+1] - ii[i];
1416       aj  = a->j + ii[i];
1417       aa  = a->a + ii[i];
1418       sum = y[*ridx];
1419       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1420       z[*ridx++] = sum;
1421     }
1422   } else { /* do not use compressed row format */
1423     ii = a->i;
1424     for (i=0; i<m; i++) {
1425       n   = ii[i+1] - ii[i];
1426       aj  = a->j + ii[i];
1427       aa  = a->a + ii[i];
1428       sum = y[i];
1429       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1430       z[i] = sum;
1431     }
1432   }
1433   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1434   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1435   ierr = VecRestoreArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1436   PetscFunctionReturn(0);
1437 }
1438 
1439 #include <../src/mat/impls/aij/seq/ftn-kernels/fmultadd.h>
1440 PetscErrorCode MatMultAdd_SeqAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1441 {
1442   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1443   PetscScalar       *y,*z;
1444   const PetscScalar *x;
1445   const MatScalar   *aa;
1446   PetscErrorCode    ierr;
1447   const PetscInt    *aj,*ii,*ridx=NULL;
1448   PetscInt          m = A->rmap->n,n,i;
1449   PetscScalar       sum;
1450   PetscBool         usecprow=a->compressedrow.use;
1451 
1452   PetscFunctionBegin;
1453   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1454   ierr = VecGetArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1455   if (usecprow) { /* use compressed row format */
1456     if (zz != yy) {
1457       ierr = PetscMemcpy(z,y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1458     }
1459     m    = a->compressedrow.nrows;
1460     ii   = a->compressedrow.i;
1461     ridx = a->compressedrow.rindex;
1462     for (i=0; i<m; i++) {
1463       n   = ii[i+1] - ii[i];
1464       aj  = a->j + ii[i];
1465       aa  = a->a + ii[i];
1466       sum = y[*ridx];
1467       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1468       z[*ridx++] = sum;
1469     }
1470   } else { /* do not use compressed row format */
1471     ii = a->i;
1472 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTADDAIJ)
1473     aj = a->j;
1474     aa = a->a;
1475     fortranmultaddaij_(&m,x,ii,aj,aa,y,z);
1476 #else
1477     for (i=0; i<m; i++) {
1478       n   = ii[i+1] - ii[i];
1479       aj  = a->j + ii[i];
1480       aa  = a->a + ii[i];
1481       sum = y[i];
1482       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1483       z[i] = sum;
1484     }
1485 #endif
1486   }
1487   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1488   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1489   ierr = VecRestoreArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1490 #if defined(PETSC_HAVE_CUSP)
1491   /*
1492   ierr = VecView(xx,0);CHKERRQ(ierr);
1493   ierr = VecView(zz,0);CHKERRQ(ierr);
1494   ierr = MatView(A,0);CHKERRQ(ierr);
1495   */
1496 #endif
1497   PetscFunctionReturn(0);
1498 }
1499 
1500 /*
1501      Adds diagonal pointers to sparse matrix structure.
1502 */
1503 PetscErrorCode MatMarkDiagonal_SeqAIJ(Mat A)
1504 {
1505   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1506   PetscErrorCode ierr;
1507   PetscInt       i,j,m = A->rmap->n;
1508 
1509   PetscFunctionBegin;
1510   if (!a->diag) {
1511     ierr = PetscMalloc1(m,&a->diag);CHKERRQ(ierr);
1512     ierr = PetscLogObjectMemory((PetscObject)A, m*sizeof(PetscInt));CHKERRQ(ierr);
1513   }
1514   for (i=0; i<A->rmap->n; i++) {
1515     a->diag[i] = a->i[i+1];
1516     for (j=a->i[i]; j<a->i[i+1]; j++) {
1517       if (a->j[j] == i) {
1518         a->diag[i] = j;
1519         break;
1520       }
1521     }
1522   }
1523   PetscFunctionReturn(0);
1524 }
1525 
1526 /*
1527      Checks for missing diagonals
1528 */
1529 PetscErrorCode MatMissingDiagonal_SeqAIJ(Mat A,PetscBool  *missing,PetscInt *d)
1530 {
1531   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1532   PetscInt   *diag,*ii = a->i,i;
1533 
1534   PetscFunctionBegin;
1535   *missing = PETSC_FALSE;
1536   if (A->rmap->n > 0 && !ii) {
1537     *missing = PETSC_TRUE;
1538     if (d) *d = 0;
1539     PetscInfo(A,"Matrix has no entries therefore is missing diagonal\n");
1540   } else {
1541     diag = a->diag;
1542     for (i=0; i<A->rmap->n; i++) {
1543       if (diag[i] >= ii[i+1]) {
1544         *missing = PETSC_TRUE;
1545         if (d) *d = i;
1546         PetscInfo1(A,"Matrix is missing diagonal number %D\n",i);
1547         break;
1548       }
1549     }
1550   }
1551   PetscFunctionReturn(0);
1552 }
1553 
1554 /*
1555    Negative shift indicates do not generate an error if there is a zero diagonal, just invert it anyways
1556 */
1557 PetscErrorCode  MatInvertDiagonal_SeqAIJ(Mat A,PetscScalar omega,PetscScalar fshift)
1558 {
1559   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
1560   PetscErrorCode ierr;
1561   PetscInt       i,*diag,m = A->rmap->n;
1562   MatScalar      *v = a->a;
1563   PetscScalar    *idiag,*mdiag;
1564 
1565   PetscFunctionBegin;
1566   if (a->idiagvalid) PetscFunctionReturn(0);
1567   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1568   diag = a->diag;
1569   if (!a->idiag) {
1570     ierr = PetscMalloc3(m,&a->idiag,m,&a->mdiag,m,&a->ssor_work);CHKERRQ(ierr);
1571     ierr = PetscLogObjectMemory((PetscObject)A, 3*m*sizeof(PetscScalar));CHKERRQ(ierr);
1572     v    = a->a;
1573   }
1574   mdiag = a->mdiag;
1575   idiag = a->idiag;
1576 
1577   if (omega == 1.0 && PetscRealPart(fshift) <= 0.0) {
1578     for (i=0; i<m; i++) {
1579       mdiag[i] = v[diag[i]];
1580       if (!PetscAbsScalar(mdiag[i])) { /* zero diagonal */
1581         if (PetscRealPart(fshift)) {
1582           ierr = PetscInfo1(A,"Zero diagonal on row %D\n",i);CHKERRQ(ierr);
1583           A->factorerrortype             = MAT_FACTOR_NUMERIC_ZEROPIVOT;
1584           A->factorerror_zeropivot_value = 0.0;
1585           A->factorerror_zeropivot_row   = i;
1586         } SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Zero diagonal on row %D",i);
1587       }
1588       idiag[i] = 1.0/v[diag[i]];
1589     }
1590     ierr = PetscLogFlops(m);CHKERRQ(ierr);
1591   } else {
1592     for (i=0; i<m; i++) {
1593       mdiag[i] = v[diag[i]];
1594       idiag[i] = omega/(fshift + v[diag[i]]);
1595     }
1596     ierr = PetscLogFlops(2.0*m);CHKERRQ(ierr);
1597   }
1598   a->idiagvalid = PETSC_TRUE;
1599   PetscFunctionReturn(0);
1600 }
1601 
1602 #include <../src/mat/impls/aij/seq/ftn-kernels/frelax.h>
1603 PetscErrorCode MatSOR_SeqAIJ(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
1604 {
1605   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1606   PetscScalar       *x,d,sum,*t,scale;
1607   const MatScalar   *v,*idiag=0,*mdiag;
1608   const PetscScalar *b, *bs,*xb, *ts;
1609   PetscErrorCode    ierr;
1610   PetscInt          n,m = A->rmap->n,i;
1611   const PetscInt    *idx,*diag;
1612 
1613   PetscFunctionBegin;
1614   its = its*lits;
1615 
1616   if (fshift != a->fshift || omega != a->omega) a->idiagvalid = PETSC_FALSE; /* must recompute idiag[] */
1617   if (!a->idiagvalid) {ierr = MatInvertDiagonal_SeqAIJ(A,omega,fshift);CHKERRQ(ierr);}
1618   a->fshift = fshift;
1619   a->omega  = omega;
1620 
1621   diag  = a->diag;
1622   t     = a->ssor_work;
1623   idiag = a->idiag;
1624   mdiag = a->mdiag;
1625 
1626   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1627   ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
1628   /* We count flops by assuming the upper triangular and lower triangular parts have the same number of nonzeros */
1629   if (flag == SOR_APPLY_UPPER) {
1630     /* apply (U + D/omega) to the vector */
1631     bs = b;
1632     for (i=0; i<m; i++) {
1633       d   = fshift + mdiag[i];
1634       n   = a->i[i+1] - diag[i] - 1;
1635       idx = a->j + diag[i] + 1;
1636       v   = a->a + diag[i] + 1;
1637       sum = b[i]*d/omega;
1638       PetscSparseDensePlusDot(sum,bs,v,idx,n);
1639       x[i] = sum;
1640     }
1641     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1642     ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1643     ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1644     PetscFunctionReturn(0);
1645   }
1646 
1647   if (flag == SOR_APPLY_LOWER) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SOR_APPLY_LOWER is not implemented");
1648   else if (flag & SOR_EISENSTAT) {
1649     /* Let  A = L + U + D; where L is lower trianglar,
1650     U is upper triangular, E = D/omega; This routine applies
1651 
1652             (L + E)^{-1} A (U + E)^{-1}
1653 
1654     to a vector efficiently using Eisenstat's trick.
1655     */
1656     scale = (2.0/omega) - 1.0;
1657 
1658     /*  x = (E + U)^{-1} b */
1659     for (i=m-1; i>=0; i--) {
1660       n   = a->i[i+1] - diag[i] - 1;
1661       idx = a->j + diag[i] + 1;
1662       v   = a->a + diag[i] + 1;
1663       sum = b[i];
1664       PetscSparseDenseMinusDot(sum,x,v,idx,n);
1665       x[i] = sum*idiag[i];
1666     }
1667 
1668     /*  t = b - (2*E - D)x */
1669     v = a->a;
1670     for (i=0; i<m; i++) t[i] = b[i] - scale*(v[*diag++])*x[i];
1671 
1672     /*  t = (E + L)^{-1}t */
1673     ts   = t;
1674     diag = a->diag;
1675     for (i=0; i<m; i++) {
1676       n   = diag[i] - a->i[i];
1677       idx = a->j + a->i[i];
1678       v   = a->a + a->i[i];
1679       sum = t[i];
1680       PetscSparseDenseMinusDot(sum,ts,v,idx,n);
1681       t[i] = sum*idiag[i];
1682       /*  x = x + t */
1683       x[i] += t[i];
1684     }
1685 
1686     ierr = PetscLogFlops(6.0*m-1 + 2.0*a->nz);CHKERRQ(ierr);
1687     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1688     ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1689     PetscFunctionReturn(0);
1690   }
1691   if (flag & SOR_ZERO_INITIAL_GUESS) {
1692     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
1693       for (i=0; i<m; i++) {
1694         n   = diag[i] - a->i[i];
1695         idx = a->j + a->i[i];
1696         v   = a->a + a->i[i];
1697         sum = b[i];
1698         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1699         t[i] = sum;
1700         x[i] = sum*idiag[i];
1701       }
1702       xb   = t;
1703       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1704     } else xb = b;
1705     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
1706       for (i=m-1; i>=0; i--) {
1707         n   = a->i[i+1] - diag[i] - 1;
1708         idx = a->j + diag[i] + 1;
1709         v   = a->a + diag[i] + 1;
1710         sum = xb[i];
1711         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1712         if (xb == b) {
1713           x[i] = sum*idiag[i];
1714         } else {
1715           x[i] = (1-omega)*x[i] + sum*idiag[i];  /* omega in idiag */
1716         }
1717       }
1718       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr); /* assumes 1/2 in upper */
1719     }
1720     its--;
1721   }
1722   while (its--) {
1723     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
1724       for (i=0; i<m; i++) {
1725         /* lower */
1726         n   = diag[i] - a->i[i];
1727         idx = a->j + a->i[i];
1728         v   = a->a + a->i[i];
1729         sum = b[i];
1730         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1731         t[i] = sum;             /* save application of the lower-triangular part */
1732         /* upper */
1733         n   = a->i[i+1] - diag[i] - 1;
1734         idx = a->j + diag[i] + 1;
1735         v   = a->a + diag[i] + 1;
1736         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1737         x[i] = (1. - omega)*x[i] + sum*idiag[i]; /* omega in idiag */
1738       }
1739       xb   = t;
1740       ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1741     } else xb = b;
1742     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
1743       for (i=m-1; i>=0; i--) {
1744         sum = xb[i];
1745         if (xb == b) {
1746           /* whole matrix (no checkpointing available) */
1747           n   = a->i[i+1] - a->i[i];
1748           idx = a->j + a->i[i];
1749           v   = a->a + a->i[i];
1750           PetscSparseDenseMinusDot(sum,x,v,idx,n);
1751           x[i] = (1. - omega)*x[i] + (sum + mdiag[i]*x[i])*idiag[i];
1752         } else { /* lower-triangular part has been saved, so only apply upper-triangular */
1753           n   = a->i[i+1] - diag[i] - 1;
1754           idx = a->j + diag[i] + 1;
1755           v   = a->a + diag[i] + 1;
1756           PetscSparseDenseMinusDot(sum,x,v,idx,n);
1757           x[i] = (1. - omega)*x[i] + sum*idiag[i];  /* omega in idiag */
1758         }
1759       }
1760       if (xb == b) {
1761         ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1762       } else {
1763         ierr = PetscLogFlops(a->nz);CHKERRQ(ierr); /* assumes 1/2 in upper */
1764       }
1765     }
1766   }
1767   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1768   ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1769   PetscFunctionReturn(0);
1770 }
1771 
1772 
1773 PetscErrorCode MatGetInfo_SeqAIJ(Mat A,MatInfoType flag,MatInfo *info)
1774 {
1775   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1776 
1777   PetscFunctionBegin;
1778   info->block_size   = 1.0;
1779   info->nz_allocated = (double)a->maxnz;
1780   info->nz_used      = (double)a->nz;
1781   info->nz_unneeded  = (double)(a->maxnz - a->nz);
1782   info->assemblies   = (double)A->num_ass;
1783   info->mallocs      = (double)A->info.mallocs;
1784   info->memory       = ((PetscObject)A)->mem;
1785   if (A->factortype) {
1786     info->fill_ratio_given  = A->info.fill_ratio_given;
1787     info->fill_ratio_needed = A->info.fill_ratio_needed;
1788     info->factor_mallocs    = A->info.factor_mallocs;
1789   } else {
1790     info->fill_ratio_given  = 0;
1791     info->fill_ratio_needed = 0;
1792     info->factor_mallocs    = 0;
1793   }
1794   PetscFunctionReturn(0);
1795 }
1796 
1797 PetscErrorCode MatZeroRows_SeqAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1798 {
1799   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1800   PetscInt          i,m = A->rmap->n - 1;
1801   PetscErrorCode    ierr;
1802   const PetscScalar *xx;
1803   PetscScalar       *bb;
1804   PetscInt          d = 0;
1805 
1806   PetscFunctionBegin;
1807   if (x && b) {
1808     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1809     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1810     for (i=0; i<N; i++) {
1811       if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1812       bb[rows[i]] = diag*xx[rows[i]];
1813     }
1814     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1815     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1816   }
1817 
1818   if (a->keepnonzeropattern) {
1819     for (i=0; i<N; i++) {
1820       if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1821       ierr = PetscMemzero(&a->a[a->i[rows[i]]],a->ilen[rows[i]]*sizeof(PetscScalar));CHKERRQ(ierr);
1822     }
1823     if (diag != 0.0) {
1824       for (i=0; i<N; i++) {
1825         d = rows[i];
1826         if (a->diag[d] >= a->i[d+1]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Matrix is missing diagonal entry in the zeroed row %D",d);
1827       }
1828       for (i=0; i<N; i++) {
1829         a->a[a->diag[rows[i]]] = diag;
1830       }
1831     }
1832   } else {
1833     if (diag != 0.0) {
1834       for (i=0; i<N; i++) {
1835         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1836         if (a->ilen[rows[i]] > 0) {
1837           a->ilen[rows[i]]    = 1;
1838           a->a[a->i[rows[i]]] = diag;
1839           a->j[a->i[rows[i]]] = rows[i];
1840         } else { /* in case row was completely empty */
1841           ierr = MatSetValues_SeqAIJ(A,1,&rows[i],1,&rows[i],&diag,INSERT_VALUES);CHKERRQ(ierr);
1842         }
1843       }
1844     } else {
1845       for (i=0; i<N; i++) {
1846         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1847         a->ilen[rows[i]] = 0;
1848       }
1849     }
1850     A->nonzerostate++;
1851   }
1852   ierr = (*A->ops->assemblyend)(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1853   PetscFunctionReturn(0);
1854 }
1855 
1856 PetscErrorCode MatZeroRowsColumns_SeqAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1857 {
1858   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1859   PetscInt          i,j,m = A->rmap->n - 1,d = 0;
1860   PetscErrorCode    ierr;
1861   PetscBool         missing,*zeroed,vecs = PETSC_FALSE;
1862   const PetscScalar *xx;
1863   PetscScalar       *bb;
1864 
1865   PetscFunctionBegin;
1866   if (x && b) {
1867     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1868     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1869     vecs = PETSC_TRUE;
1870   }
1871   ierr = PetscCalloc1(A->rmap->n,&zeroed);CHKERRQ(ierr);
1872   for (i=0; i<N; i++) {
1873     if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1874     ierr = PetscMemzero(&a->a[a->i[rows[i]]],a->ilen[rows[i]]*sizeof(PetscScalar));CHKERRQ(ierr);
1875 
1876     zeroed[rows[i]] = PETSC_TRUE;
1877   }
1878   for (i=0; i<A->rmap->n; i++) {
1879     if (!zeroed[i]) {
1880       for (j=a->i[i]; j<a->i[i+1]; j++) {
1881         if (zeroed[a->j[j]]) {
1882           if (vecs) bb[i] -= a->a[j]*xx[a->j[j]];
1883           a->a[j] = 0.0;
1884         }
1885       }
1886     } else if (vecs) bb[i] = diag*xx[i];
1887   }
1888   if (x && b) {
1889     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1890     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1891   }
1892   ierr = PetscFree(zeroed);CHKERRQ(ierr);
1893   if (diag != 0.0) {
1894     ierr = MatMissingDiagonal_SeqAIJ(A,&missing,&d);CHKERRQ(ierr);
1895     if (missing) {
1896       if (a->nonew) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Matrix is missing diagonal entry in row %D",d);
1897       else {
1898         for (i=0; i<N; i++) {
1899           ierr = MatSetValues_SeqAIJ(A,1,&rows[i],1,&rows[i],&diag,INSERT_VALUES);CHKERRQ(ierr);
1900         }
1901       }
1902     } else {
1903       for (i=0; i<N; i++) {
1904         a->a[a->diag[rows[i]]] = diag;
1905       }
1906     }
1907   }
1908   ierr = (*A->ops->assemblyend)(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1909   PetscFunctionReturn(0);
1910 }
1911 
1912 PetscErrorCode MatGetRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1913 {
1914   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1915   PetscInt   *itmp;
1916 
1917   PetscFunctionBegin;
1918   if (row < 0 || row >= A->rmap->n) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row %D out of range",row);
1919 
1920   *nz = a->i[row+1] - a->i[row];
1921   if (v) *v = a->a + a->i[row];
1922   if (idx) {
1923     itmp = a->j + a->i[row];
1924     if (*nz) *idx = itmp;
1925     else *idx = 0;
1926   }
1927   PetscFunctionReturn(0);
1928 }
1929 
1930 /* remove this function? */
1931 PetscErrorCode MatRestoreRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1932 {
1933   PetscFunctionBegin;
1934   PetscFunctionReturn(0);
1935 }
1936 
1937 PetscErrorCode MatNorm_SeqAIJ(Mat A,NormType type,PetscReal *nrm)
1938 {
1939   Mat_SeqAIJ     *a  = (Mat_SeqAIJ*)A->data;
1940   MatScalar      *v  = a->a;
1941   PetscReal      sum = 0.0;
1942   PetscErrorCode ierr;
1943   PetscInt       i,j;
1944 
1945   PetscFunctionBegin;
1946   if (type == NORM_FROBENIUS) {
1947 #if defined(PETSC_USE_REAL___FP16)
1948     PetscBLASInt one = 1,nz = a->nz;
1949     *nrm = BLASnrm2_(&nz,v,&one);
1950 #else
1951     for (i=0; i<a->nz; i++) {
1952       sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
1953     }
1954     *nrm = PetscSqrtReal(sum);
1955 #endif
1956     ierr = PetscLogFlops(2*a->nz);CHKERRQ(ierr);
1957   } else if (type == NORM_1) {
1958     PetscReal *tmp;
1959     PetscInt  *jj = a->j;
1960     ierr = PetscCalloc1(A->cmap->n+1,&tmp);CHKERRQ(ierr);
1961     *nrm = 0.0;
1962     for (j=0; j<a->nz; j++) {
1963       tmp[*jj++] += PetscAbsScalar(*v);  v++;
1964     }
1965     for (j=0; j<A->cmap->n; j++) {
1966       if (tmp[j] > *nrm) *nrm = tmp[j];
1967     }
1968     ierr = PetscFree(tmp);CHKERRQ(ierr);
1969     ierr = PetscLogFlops(PetscMax(a->nz-1,0));CHKERRQ(ierr);
1970   } else if (type == NORM_INFINITY) {
1971     *nrm = 0.0;
1972     for (j=0; j<A->rmap->n; j++) {
1973       v   = a->a + a->i[j];
1974       sum = 0.0;
1975       for (i=0; i<a->i[j+1]-a->i[j]; i++) {
1976         sum += PetscAbsScalar(*v); v++;
1977       }
1978       if (sum > *nrm) *nrm = sum;
1979     }
1980     ierr = PetscLogFlops(PetscMax(a->nz-1,0));CHKERRQ(ierr);
1981   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for two norm");
1982   PetscFunctionReturn(0);
1983 }
1984 
1985 /* Merged from MatGetSymbolicTranspose_SeqAIJ() - replace MatGetSymbolicTranspose_SeqAIJ()? */
1986 PetscErrorCode MatTransposeSymbolic_SeqAIJ(Mat A,Mat *B)
1987 {
1988   PetscErrorCode ierr;
1989   PetscInt       i,j,anzj;
1990   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data,*b;
1991   PetscInt       an=A->cmap->N,am=A->rmap->N;
1992   PetscInt       *ati,*atj,*atfill,*ai=a->i,*aj=a->j;
1993 
1994   PetscFunctionBegin;
1995   /* Allocate space for symbolic transpose info and work array */
1996   ierr = PetscCalloc1(an+1,&ati);CHKERRQ(ierr);
1997   ierr = PetscMalloc1(ai[am],&atj);CHKERRQ(ierr);
1998   ierr = PetscMalloc1(an,&atfill);CHKERRQ(ierr);
1999 
2000   /* Walk through aj and count ## of non-zeros in each row of A^T. */
2001   /* Note: offset by 1 for fast conversion into csr format. */
2002   for (i=0;i<ai[am];i++) ati[aj[i]+1] += 1;
2003   /* Form ati for csr format of A^T. */
2004   for (i=0;i<an;i++) ati[i+1] += ati[i];
2005 
2006   /* Copy ati into atfill so we have locations of the next free space in atj */
2007   ierr = PetscMemcpy(atfill,ati,an*sizeof(PetscInt));CHKERRQ(ierr);
2008 
2009   /* Walk through A row-wise and mark nonzero entries of A^T. */
2010   for (i=0;i<am;i++) {
2011     anzj = ai[i+1] - ai[i];
2012     for (j=0;j<anzj;j++) {
2013       atj[atfill[*aj]] = i;
2014       atfill[*aj++]   += 1;
2015     }
2016   }
2017 
2018   /* Clean up temporary space and complete requests. */
2019   ierr = PetscFree(atfill);CHKERRQ(ierr);
2020   ierr = MatCreateSeqAIJWithArrays(PetscObjectComm((PetscObject)A),an,am,ati,atj,NULL,B);CHKERRQ(ierr);
2021   ierr = MatSetBlockSizes(*B,PetscAbs(A->cmap->bs),PetscAbs(A->rmap->bs));CHKERRQ(ierr);
2022 
2023   b          = (Mat_SeqAIJ*)((*B)->data);
2024   b->free_a  = PETSC_FALSE;
2025   b->free_ij = PETSC_TRUE;
2026   b->nonew   = 0;
2027   PetscFunctionReturn(0);
2028 }
2029 
2030 PetscErrorCode MatTranspose_SeqAIJ(Mat A,MatReuse reuse,Mat *B)
2031 {
2032   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2033   Mat            C;
2034   PetscErrorCode ierr;
2035   PetscInt       i,*aj = a->j,*ai = a->i,m = A->rmap->n,len,*col;
2036   MatScalar      *array = a->a;
2037 
2038   PetscFunctionBegin;
2039   if (reuse == MAT_INPLACE_MATRIX && m != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Square matrix only for in-place");
2040 
2041   if (reuse == MAT_INITIAL_MATRIX || reuse == MAT_INPLACE_MATRIX) {
2042     ierr = PetscCalloc1(1+A->cmap->n,&col);CHKERRQ(ierr);
2043 
2044     for (i=0; i<ai[m]; i++) col[aj[i]] += 1;
2045     ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2046     ierr = MatSetSizes(C,A->cmap->n,m,A->cmap->n,m);CHKERRQ(ierr);
2047     ierr = MatSetBlockSizes(C,PetscAbs(A->cmap->bs),PetscAbs(A->rmap->bs));CHKERRQ(ierr);
2048     ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2049     ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,col);CHKERRQ(ierr);
2050     ierr = PetscFree(col);CHKERRQ(ierr);
2051   } else {
2052     C = *B;
2053   }
2054 
2055   for (i=0; i<m; i++) {
2056     len    = ai[i+1]-ai[i];
2057     ierr   = MatSetValues_SeqAIJ(C,len,aj,1,&i,array,INSERT_VALUES);CHKERRQ(ierr);
2058     array += len;
2059     aj    += len;
2060   }
2061   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2062   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2063 
2064   if (reuse == MAT_INITIAL_MATRIX || reuse == MAT_REUSE_MATRIX) {
2065     *B = C;
2066   } else {
2067     ierr = MatHeaderMerge(A,&C);CHKERRQ(ierr);
2068   }
2069   PetscFunctionReturn(0);
2070 }
2071 
2072 PetscErrorCode  MatIsTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
2073 {
2074   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) A->data,*bij = (Mat_SeqAIJ*) B->data;
2075   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr;
2076   MatScalar      *va,*vb;
2077   PetscErrorCode ierr;
2078   PetscInt       ma,na,mb,nb, i;
2079 
2080   PetscFunctionBegin;
2081   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
2082   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
2083   if (ma!=nb || na!=mb) {
2084     *f = PETSC_FALSE;
2085     PetscFunctionReturn(0);
2086   }
2087   aii  = aij->i; bii = bij->i;
2088   adx  = aij->j; bdx = bij->j;
2089   va   = aij->a; vb = bij->a;
2090   ierr = PetscMalloc1(ma,&aptr);CHKERRQ(ierr);
2091   ierr = PetscMalloc1(mb,&bptr);CHKERRQ(ierr);
2092   for (i=0; i<ma; i++) aptr[i] = aii[i];
2093   for (i=0; i<mb; i++) bptr[i] = bii[i];
2094 
2095   *f = PETSC_TRUE;
2096   for (i=0; i<ma; i++) {
2097     while (aptr[i]<aii[i+1]) {
2098       PetscInt    idc,idr;
2099       PetscScalar vc,vr;
2100       /* column/row index/value */
2101       idc = adx[aptr[i]];
2102       idr = bdx[bptr[idc]];
2103       vc  = va[aptr[i]];
2104       vr  = vb[bptr[idc]];
2105       if (i!=idr || PetscAbsScalar(vc-vr) > tol) {
2106         *f = PETSC_FALSE;
2107         goto done;
2108       } else {
2109         aptr[i]++;
2110         if (B || i!=idc) bptr[idc]++;
2111       }
2112     }
2113   }
2114 done:
2115   ierr = PetscFree(aptr);CHKERRQ(ierr);
2116   ierr = PetscFree(bptr);CHKERRQ(ierr);
2117   PetscFunctionReturn(0);
2118 }
2119 
2120 PetscErrorCode  MatIsHermitianTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
2121 {
2122   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) A->data,*bij = (Mat_SeqAIJ*) B->data;
2123   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr;
2124   MatScalar      *va,*vb;
2125   PetscErrorCode ierr;
2126   PetscInt       ma,na,mb,nb, i;
2127 
2128   PetscFunctionBegin;
2129   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
2130   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
2131   if (ma!=nb || na!=mb) {
2132     *f = PETSC_FALSE;
2133     PetscFunctionReturn(0);
2134   }
2135   aii  = aij->i; bii = bij->i;
2136   adx  = aij->j; bdx = bij->j;
2137   va   = aij->a; vb = bij->a;
2138   ierr = PetscMalloc1(ma,&aptr);CHKERRQ(ierr);
2139   ierr = PetscMalloc1(mb,&bptr);CHKERRQ(ierr);
2140   for (i=0; i<ma; i++) aptr[i] = aii[i];
2141   for (i=0; i<mb; i++) bptr[i] = bii[i];
2142 
2143   *f = PETSC_TRUE;
2144   for (i=0; i<ma; i++) {
2145     while (aptr[i]<aii[i+1]) {
2146       PetscInt    idc,idr;
2147       PetscScalar vc,vr;
2148       /* column/row index/value */
2149       idc = adx[aptr[i]];
2150       idr = bdx[bptr[idc]];
2151       vc  = va[aptr[i]];
2152       vr  = vb[bptr[idc]];
2153       if (i!=idr || PetscAbsScalar(vc-PetscConj(vr)) > tol) {
2154         *f = PETSC_FALSE;
2155         goto done;
2156       } else {
2157         aptr[i]++;
2158         if (B || i!=idc) bptr[idc]++;
2159       }
2160     }
2161   }
2162 done:
2163   ierr = PetscFree(aptr);CHKERRQ(ierr);
2164   ierr = PetscFree(bptr);CHKERRQ(ierr);
2165   PetscFunctionReturn(0);
2166 }
2167 
2168 PetscErrorCode MatIsSymmetric_SeqAIJ(Mat A,PetscReal tol,PetscBool  *f)
2169 {
2170   PetscErrorCode ierr;
2171 
2172   PetscFunctionBegin;
2173   ierr = MatIsTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
2174   PetscFunctionReturn(0);
2175 }
2176 
2177 PetscErrorCode MatIsHermitian_SeqAIJ(Mat A,PetscReal tol,PetscBool  *f)
2178 {
2179   PetscErrorCode ierr;
2180 
2181   PetscFunctionBegin;
2182   ierr = MatIsHermitianTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
2183   PetscFunctionReturn(0);
2184 }
2185 
2186 PetscErrorCode MatDiagonalScale_SeqAIJ(Mat A,Vec ll,Vec rr)
2187 {
2188   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
2189   const PetscScalar *l,*r;
2190   PetscScalar       x;
2191   MatScalar         *v;
2192   PetscErrorCode    ierr;
2193   PetscInt          i,j,m = A->rmap->n,n = A->cmap->n,M,nz = a->nz;
2194   const PetscInt    *jj;
2195 
2196   PetscFunctionBegin;
2197   if (ll) {
2198     /* The local size is used so that VecMPI can be passed to this routine
2199        by MatDiagonalScale_MPIAIJ */
2200     ierr = VecGetLocalSize(ll,&m);CHKERRQ(ierr);
2201     if (m != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Left scaling vector wrong length");
2202     ierr = VecGetArrayRead(ll,&l);CHKERRQ(ierr);
2203     v    = a->a;
2204     for (i=0; i<m; i++) {
2205       x = l[i];
2206       M = a->i[i+1] - a->i[i];
2207       for (j=0; j<M; j++) (*v++) *= x;
2208     }
2209     ierr = VecRestoreArrayRead(ll,&l);CHKERRQ(ierr);
2210     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
2211   }
2212   if (rr) {
2213     ierr = VecGetLocalSize(rr,&n);CHKERRQ(ierr);
2214     if (n != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Right scaling vector wrong length");
2215     ierr = VecGetArrayRead(rr,&r);CHKERRQ(ierr);
2216     v    = a->a; jj = a->j;
2217     for (i=0; i<nz; i++) (*v++) *= r[*jj++];
2218     ierr = VecRestoreArrayRead(rr,&r);CHKERRQ(ierr);
2219     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
2220   }
2221   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
2222   PetscFunctionReturn(0);
2223 }
2224 
2225 PetscErrorCode MatCreateSubMatrix_SeqAIJ(Mat A,IS isrow,IS iscol,PetscInt csize,MatReuse scall,Mat *B)
2226 {
2227   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*c;
2228   PetscErrorCode ierr;
2229   PetscInt       *smap,i,k,kstart,kend,oldcols = A->cmap->n,*lens;
2230   PetscInt       row,mat_i,*mat_j,tcol,first,step,*mat_ilen,sum,lensi;
2231   const PetscInt *irow,*icol;
2232   PetscInt       nrows,ncols;
2233   PetscInt       *starts,*j_new,*i_new,*aj = a->j,*ai = a->i,ii,*ailen = a->ilen;
2234   MatScalar      *a_new,*mat_a;
2235   Mat            C;
2236   PetscBool      stride;
2237 
2238   PetscFunctionBegin;
2239 
2240   ierr = ISGetIndices(isrow,&irow);CHKERRQ(ierr);
2241   ierr = ISGetLocalSize(isrow,&nrows);CHKERRQ(ierr);
2242   ierr = ISGetLocalSize(iscol,&ncols);CHKERRQ(ierr);
2243 
2244   ierr = PetscObjectTypeCompare((PetscObject)iscol,ISSTRIDE,&stride);CHKERRQ(ierr);
2245   if (stride) {
2246     ierr = ISStrideGetInfo(iscol,&first,&step);CHKERRQ(ierr);
2247   } else {
2248     first = 0;
2249     step  = 0;
2250   }
2251   if (stride && step == 1) {
2252     /* special case of contiguous rows */
2253     ierr = PetscMalloc2(nrows,&lens,nrows,&starts);CHKERRQ(ierr);
2254     /* loop over new rows determining lens and starting points */
2255     for (i=0; i<nrows; i++) {
2256       kstart = ai[irow[i]];
2257       kend   = kstart + ailen[irow[i]];
2258       starts[i] = kstart;
2259       for (k=kstart; k<kend; k++) {
2260         if (aj[k] >= first) {
2261           starts[i] = k;
2262           break;
2263         }
2264       }
2265       sum = 0;
2266       while (k < kend) {
2267         if (aj[k++] >= first+ncols) break;
2268         sum++;
2269       }
2270       lens[i] = sum;
2271     }
2272     /* create submatrix */
2273     if (scall == MAT_REUSE_MATRIX) {
2274       PetscInt n_cols,n_rows;
2275       ierr = MatGetSize(*B,&n_rows,&n_cols);CHKERRQ(ierr);
2276       if (n_rows != nrows || n_cols != ncols) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Reused submatrix wrong size");
2277       ierr = MatZeroEntries(*B);CHKERRQ(ierr);
2278       C    = *B;
2279     } else {
2280       PetscInt rbs,cbs;
2281       ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2282       ierr = MatSetSizes(C,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2283       ierr = ISGetBlockSize(isrow,&rbs);CHKERRQ(ierr);
2284       ierr = ISGetBlockSize(iscol,&cbs);CHKERRQ(ierr);
2285       ierr = MatSetBlockSizes(C,rbs,cbs);CHKERRQ(ierr);
2286       ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2287       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
2288     }
2289     c = (Mat_SeqAIJ*)C->data;
2290 
2291     /* loop over rows inserting into submatrix */
2292     a_new = c->a;
2293     j_new = c->j;
2294     i_new = c->i;
2295 
2296     for (i=0; i<nrows; i++) {
2297       ii    = starts[i];
2298       lensi = lens[i];
2299       for (k=0; k<lensi; k++) {
2300         *j_new++ = aj[ii+k] - first;
2301       }
2302       ierr       = PetscMemcpy(a_new,a->a + starts[i],lensi*sizeof(PetscScalar));CHKERRQ(ierr);
2303       a_new     += lensi;
2304       i_new[i+1] = i_new[i] + lensi;
2305       c->ilen[i] = lensi;
2306     }
2307     ierr = PetscFree2(lens,starts);CHKERRQ(ierr);
2308   } else {
2309     ierr = ISGetIndices(iscol,&icol);CHKERRQ(ierr);
2310     ierr = PetscCalloc1(oldcols,&smap);CHKERRQ(ierr);
2311     ierr = PetscMalloc1(1+nrows,&lens);CHKERRQ(ierr);
2312     for (i=0; i<ncols; i++) {
2313 #if defined(PETSC_USE_DEBUG)
2314       if (icol[i] >= oldcols) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Requesting column beyond largest column icol[%D] %D <= A->cmap->n %D",i,icol[i],oldcols);
2315 #endif
2316       smap[icol[i]] = i+1;
2317     }
2318 
2319     /* determine lens of each row */
2320     for (i=0; i<nrows; i++) {
2321       kstart  = ai[irow[i]];
2322       kend    = kstart + a->ilen[irow[i]];
2323       lens[i] = 0;
2324       for (k=kstart; k<kend; k++) {
2325         if (smap[aj[k]]) {
2326           lens[i]++;
2327         }
2328       }
2329     }
2330     /* Create and fill new matrix */
2331     if (scall == MAT_REUSE_MATRIX) {
2332       PetscBool equal;
2333 
2334       c = (Mat_SeqAIJ*)((*B)->data);
2335       if ((*B)->rmap->n  != nrows || (*B)->cmap->n != ncols) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong size");
2336       ierr = PetscMemcmp(c->ilen,lens,(*B)->rmap->n*sizeof(PetscInt),&equal);CHKERRQ(ierr);
2337       if (!equal) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong no of nonzeros");
2338       ierr = PetscMemzero(c->ilen,(*B)->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
2339       C    = *B;
2340     } else {
2341       PetscInt rbs,cbs;
2342       ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2343       ierr = MatSetSizes(C,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2344       ierr = ISGetBlockSize(isrow,&rbs);CHKERRQ(ierr);
2345       ierr = ISGetBlockSize(iscol,&cbs);CHKERRQ(ierr);
2346       ierr = MatSetBlockSizes(C,rbs,cbs);CHKERRQ(ierr);
2347       ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2348       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
2349     }
2350     c = (Mat_SeqAIJ*)(C->data);
2351     for (i=0; i<nrows; i++) {
2352       row      = irow[i];
2353       kstart   = ai[row];
2354       kend     = kstart + a->ilen[row];
2355       mat_i    = c->i[i];
2356       mat_j    = c->j + mat_i;
2357       mat_a    = c->a + mat_i;
2358       mat_ilen = c->ilen + i;
2359       for (k=kstart; k<kend; k++) {
2360         if ((tcol=smap[a->j[k]])) {
2361           *mat_j++ = tcol - 1;
2362           *mat_a++ = a->a[k];
2363           (*mat_ilen)++;
2364 
2365         }
2366       }
2367     }
2368     /* Free work space */
2369     ierr = ISRestoreIndices(iscol,&icol);CHKERRQ(ierr);
2370     ierr = PetscFree(smap);CHKERRQ(ierr);
2371     ierr = PetscFree(lens);CHKERRQ(ierr);
2372     /* sort */
2373     for (i = 0; i < nrows; i++) {
2374       PetscInt ilen;
2375 
2376       mat_i = c->i[i];
2377       mat_j = c->j + mat_i;
2378       mat_a = c->a + mat_i;
2379       ilen  = c->ilen[i];
2380       ierr  = PetscSortIntWithScalarArray(ilen,mat_j,mat_a);CHKERRQ(ierr);
2381     }
2382   }
2383   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2384   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2385 
2386   ierr = ISRestoreIndices(isrow,&irow);CHKERRQ(ierr);
2387   *B   = C;
2388   PetscFunctionReturn(0);
2389 }
2390 
2391 PetscErrorCode  MatGetMultiProcBlock_SeqAIJ(Mat mat,MPI_Comm subComm,MatReuse scall,Mat *subMat)
2392 {
2393   PetscErrorCode ierr;
2394   Mat            B;
2395 
2396   PetscFunctionBegin;
2397   if (scall == MAT_INITIAL_MATRIX) {
2398     ierr    = MatCreate(subComm,&B);CHKERRQ(ierr);
2399     ierr    = MatSetSizes(B,mat->rmap->n,mat->cmap->n,mat->rmap->n,mat->cmap->n);CHKERRQ(ierr);
2400     ierr    = MatSetBlockSizesFromMats(B,mat,mat);CHKERRQ(ierr);
2401     ierr    = MatSetType(B,MATSEQAIJ);CHKERRQ(ierr);
2402     ierr    = MatDuplicateNoCreate_SeqAIJ(B,mat,MAT_COPY_VALUES,PETSC_TRUE);CHKERRQ(ierr);
2403     *subMat = B;
2404   } else {
2405     ierr = MatCopy_SeqAIJ(mat,*subMat,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
2406   }
2407   PetscFunctionReturn(0);
2408 }
2409 
2410 PetscErrorCode MatILUFactor_SeqAIJ(Mat inA,IS row,IS col,const MatFactorInfo *info)
2411 {
2412   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)inA->data;
2413   PetscErrorCode ierr;
2414   Mat            outA;
2415   PetscBool      row_identity,col_identity;
2416 
2417   PetscFunctionBegin;
2418   if (info->levels != 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only levels=0 supported for in-place ilu");
2419 
2420   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
2421   ierr = ISIdentity(col,&col_identity);CHKERRQ(ierr);
2422 
2423   outA             = inA;
2424   outA->factortype = MAT_FACTOR_LU;
2425   ierr = PetscFree(inA->solvertype);CHKERRQ(ierr);
2426   ierr = PetscStrallocpy(MATSOLVERPETSC,&inA->solvertype);CHKERRQ(ierr);
2427 
2428   ierr = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
2429   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
2430 
2431   a->row = row;
2432 
2433   ierr = PetscObjectReference((PetscObject)col);CHKERRQ(ierr);
2434   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
2435 
2436   a->col = col;
2437 
2438   /* Create the inverse permutation so that it can be used in MatLUFactorNumeric() */
2439   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
2440   ierr = ISInvertPermutation(col,PETSC_DECIDE,&a->icol);CHKERRQ(ierr);
2441   ierr = PetscLogObjectParent((PetscObject)inA,(PetscObject)a->icol);CHKERRQ(ierr);
2442 
2443   if (!a->solve_work) { /* this matrix may have been factored before */
2444     ierr = PetscMalloc1(inA->rmap->n+1,&a->solve_work);CHKERRQ(ierr);
2445     ierr = PetscLogObjectMemory((PetscObject)inA, (inA->rmap->n+1)*sizeof(PetscScalar));CHKERRQ(ierr);
2446   }
2447 
2448   ierr = MatMarkDiagonal_SeqAIJ(inA);CHKERRQ(ierr);
2449   if (row_identity && col_identity) {
2450     ierr = MatLUFactorNumeric_SeqAIJ_inplace(outA,inA,info);CHKERRQ(ierr);
2451   } else {
2452     ierr = MatLUFactorNumeric_SeqAIJ_InplaceWithPerm(outA,inA,info);CHKERRQ(ierr);
2453   }
2454   PetscFunctionReturn(0);
2455 }
2456 
2457 PetscErrorCode MatScale_SeqAIJ(Mat inA,PetscScalar alpha)
2458 {
2459   Mat_SeqAIJ     *a     = (Mat_SeqAIJ*)inA->data;
2460   PetscScalar    oalpha = alpha;
2461   PetscErrorCode ierr;
2462   PetscBLASInt   one = 1,bnz;
2463 
2464   PetscFunctionBegin;
2465   ierr = PetscBLASIntCast(a->nz,&bnz);CHKERRQ(ierr);
2466   PetscStackCallBLAS("BLASscal",BLASscal_(&bnz,&oalpha,a->a,&one));
2467   ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
2468   ierr = MatSeqAIJInvalidateDiagonal(inA);CHKERRQ(ierr);
2469   PetscFunctionReturn(0);
2470 }
2471 
2472 PetscErrorCode MatDestroySubMatrix_Private(Mat_SubSppt *submatj)
2473 {
2474   PetscErrorCode ierr;
2475   PetscInt       i;
2476 
2477   PetscFunctionBegin;
2478   if (!submatj->id) { /* delete data that are linked only to submats[id=0] */
2479     ierr = PetscFree4(submatj->sbuf1,submatj->ptr,submatj->tmp,submatj->ctr);CHKERRQ(ierr);
2480 
2481     for (i=0; i<submatj->nrqr; ++i) {
2482       ierr = PetscFree(submatj->sbuf2[i]);CHKERRQ(ierr);
2483     }
2484     ierr = PetscFree3(submatj->sbuf2,submatj->req_size,submatj->req_source1);CHKERRQ(ierr);
2485 
2486     if (submatj->rbuf1) {
2487       ierr = PetscFree(submatj->rbuf1[0]);CHKERRQ(ierr);
2488       ierr = PetscFree(submatj->rbuf1);CHKERRQ(ierr);
2489     }
2490 
2491     for (i=0; i<submatj->nrqs; ++i) {
2492       ierr = PetscFree(submatj->rbuf3[i]);CHKERRQ(ierr);
2493     }
2494     ierr = PetscFree3(submatj->req_source2,submatj->rbuf2,submatj->rbuf3);CHKERRQ(ierr);
2495     ierr = PetscFree(submatj->pa);CHKERRQ(ierr);
2496   }
2497 
2498 #if defined(PETSC_USE_CTABLE)
2499   ierr = PetscTableDestroy((PetscTable*)&submatj->rmap);CHKERRQ(ierr);
2500   if (submatj->cmap_loc) {ierr = PetscFree(submatj->cmap_loc);CHKERRQ(ierr);}
2501   ierr = PetscFree(submatj->rmap_loc);CHKERRQ(ierr);
2502 #else
2503   ierr = PetscFree(submatj->rmap);CHKERRQ(ierr);
2504 #endif
2505 
2506   if (!submatj->allcolumns) {
2507 #if defined(PETSC_USE_CTABLE)
2508     ierr = PetscTableDestroy((PetscTable*)&submatj->cmap);CHKERRQ(ierr);
2509 #else
2510     ierr = PetscFree(submatj->cmap);CHKERRQ(ierr);
2511 #endif
2512   }
2513   ierr = PetscFree(submatj->row2proc);CHKERRQ(ierr);
2514 
2515   ierr = PetscFree(submatj);CHKERRQ(ierr);
2516   PetscFunctionReturn(0);
2517 }
2518 
2519 PetscErrorCode MatDestroySubMatrix_SeqAIJ(Mat C)
2520 {
2521   PetscErrorCode ierr;
2522   Mat_SeqAIJ     *c = (Mat_SeqAIJ*)C->data;
2523   Mat_SubSppt    *submatj = c->submatis1;
2524 
2525   PetscFunctionBegin;
2526   ierr = submatj->destroy(C);CHKERRQ(ierr);
2527   ierr = MatDestroySubMatrix_Private(submatj);CHKERRQ(ierr);
2528   PetscFunctionReturn(0);
2529 }
2530 
2531 PetscErrorCode MatDestroySubMatrices_SeqAIJ(PetscInt n,Mat *mat[])
2532 {
2533   PetscErrorCode ierr;
2534   PetscInt       i;
2535   Mat            C;
2536   Mat_SeqAIJ     *c;
2537   Mat_SubSppt    *submatj;
2538 
2539   PetscFunctionBegin;
2540   for (i=0; i<n; i++) {
2541     C       = (*mat)[i];
2542     c       = (Mat_SeqAIJ*)C->data;
2543     submatj = c->submatis1;
2544     if (submatj) {
2545       ierr = submatj->destroy(C);CHKERRQ(ierr);
2546       ierr = MatDestroySubMatrix_Private(submatj);CHKERRQ(ierr);
2547       ierr = PetscLayoutDestroy(&C->rmap);CHKERRQ(ierr);
2548       ierr = PetscLayoutDestroy(&C->cmap);CHKERRQ(ierr);
2549       ierr = PetscHeaderDestroy(&C);CHKERRQ(ierr);
2550     } else {
2551       ierr = MatDestroy(&C);CHKERRQ(ierr);
2552     }
2553   }
2554 
2555   ierr = PetscFree(*mat);CHKERRQ(ierr);
2556   PetscFunctionReturn(0);
2557 }
2558 
2559 PetscErrorCode MatCreateSubMatrices_SeqAIJ(Mat A,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
2560 {
2561   PetscErrorCode ierr;
2562   PetscInt       i;
2563 
2564   PetscFunctionBegin;
2565   if (scall == MAT_INITIAL_MATRIX) {
2566     ierr = PetscCalloc1(n+1,B);CHKERRQ(ierr);
2567   }
2568 
2569   for (i=0; i<n; i++) {
2570     ierr = MatCreateSubMatrix_SeqAIJ(A,irow[i],icol[i],PETSC_DECIDE,scall,&(*B)[i]);CHKERRQ(ierr);
2571   }
2572   PetscFunctionReturn(0);
2573 }
2574 
2575 PetscErrorCode MatIncreaseOverlap_SeqAIJ(Mat A,PetscInt is_max,IS is[],PetscInt ov)
2576 {
2577   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2578   PetscErrorCode ierr;
2579   PetscInt       row,i,j,k,l,m,n,*nidx,isz,val;
2580   const PetscInt *idx;
2581   PetscInt       start,end,*ai,*aj;
2582   PetscBT        table;
2583 
2584   PetscFunctionBegin;
2585   m  = A->rmap->n;
2586   ai = a->i;
2587   aj = a->j;
2588 
2589   if (ov < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"illegal negative overlap value used");
2590 
2591   ierr = PetscMalloc1(m+1,&nidx);CHKERRQ(ierr);
2592   ierr = PetscBTCreate(m,&table);CHKERRQ(ierr);
2593 
2594   for (i=0; i<is_max; i++) {
2595     /* Initialize the two local arrays */
2596     isz  = 0;
2597     ierr = PetscBTMemzero(m,table);CHKERRQ(ierr);
2598 
2599     /* Extract the indices, assume there can be duplicate entries */
2600     ierr = ISGetIndices(is[i],&idx);CHKERRQ(ierr);
2601     ierr = ISGetLocalSize(is[i],&n);CHKERRQ(ierr);
2602 
2603     /* Enter these into the temp arrays. I.e., mark table[row], enter row into new index */
2604     for (j=0; j<n; ++j) {
2605       if (!PetscBTLookupSet(table,idx[j])) nidx[isz++] = idx[j];
2606     }
2607     ierr = ISRestoreIndices(is[i],&idx);CHKERRQ(ierr);
2608     ierr = ISDestroy(&is[i]);CHKERRQ(ierr);
2609 
2610     k = 0;
2611     for (j=0; j<ov; j++) { /* for each overlap */
2612       n = isz;
2613       for (; k<n; k++) { /* do only those rows in nidx[k], which are not done yet */
2614         row   = nidx[k];
2615         start = ai[row];
2616         end   = ai[row+1];
2617         for (l = start; l<end; l++) {
2618           val = aj[l];
2619           if (!PetscBTLookupSet(table,val)) nidx[isz++] = val;
2620         }
2621       }
2622     }
2623     ierr = ISCreateGeneral(PETSC_COMM_SELF,isz,nidx,PETSC_COPY_VALUES,(is+i));CHKERRQ(ierr);
2624   }
2625   ierr = PetscBTDestroy(&table);CHKERRQ(ierr);
2626   ierr = PetscFree(nidx);CHKERRQ(ierr);
2627   PetscFunctionReturn(0);
2628 }
2629 
2630 /* -------------------------------------------------------------- */
2631 PetscErrorCode MatPermute_SeqAIJ(Mat A,IS rowp,IS colp,Mat *B)
2632 {
2633   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2634   PetscErrorCode ierr;
2635   PetscInt       i,nz = 0,m = A->rmap->n,n = A->cmap->n;
2636   const PetscInt *row,*col;
2637   PetscInt       *cnew,j,*lens;
2638   IS             icolp,irowp;
2639   PetscInt       *cwork = NULL;
2640   PetscScalar    *vwork = NULL;
2641 
2642   PetscFunctionBegin;
2643   ierr = ISInvertPermutation(rowp,PETSC_DECIDE,&irowp);CHKERRQ(ierr);
2644   ierr = ISGetIndices(irowp,&row);CHKERRQ(ierr);
2645   ierr = ISInvertPermutation(colp,PETSC_DECIDE,&icolp);CHKERRQ(ierr);
2646   ierr = ISGetIndices(icolp,&col);CHKERRQ(ierr);
2647 
2648   /* determine lengths of permuted rows */
2649   ierr = PetscMalloc1(m+1,&lens);CHKERRQ(ierr);
2650   for (i=0; i<m; i++) lens[row[i]] = a->i[i+1] - a->i[i];
2651   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
2652   ierr = MatSetSizes(*B,m,n,m,n);CHKERRQ(ierr);
2653   ierr = MatSetBlockSizesFromMats(*B,A,A);CHKERRQ(ierr);
2654   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2655   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*B,0,lens);CHKERRQ(ierr);
2656   ierr = PetscFree(lens);CHKERRQ(ierr);
2657 
2658   ierr = PetscMalloc1(n,&cnew);CHKERRQ(ierr);
2659   for (i=0; i<m; i++) {
2660     ierr = MatGetRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2661     for (j=0; j<nz; j++) cnew[j] = col[cwork[j]];
2662     ierr = MatSetValues_SeqAIJ(*B,1,&row[i],nz,cnew,vwork,INSERT_VALUES);CHKERRQ(ierr);
2663     ierr = MatRestoreRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2664   }
2665   ierr = PetscFree(cnew);CHKERRQ(ierr);
2666 
2667   (*B)->assembled = PETSC_FALSE;
2668 
2669   ierr = MatAssemblyBegin(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2670   ierr = MatAssemblyEnd(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2671   ierr = ISRestoreIndices(irowp,&row);CHKERRQ(ierr);
2672   ierr = ISRestoreIndices(icolp,&col);CHKERRQ(ierr);
2673   ierr = ISDestroy(&irowp);CHKERRQ(ierr);
2674   ierr = ISDestroy(&icolp);CHKERRQ(ierr);
2675   PetscFunctionReturn(0);
2676 }
2677 
2678 PetscErrorCode MatCopy_SeqAIJ(Mat A,Mat B,MatStructure str)
2679 {
2680   PetscErrorCode ierr;
2681 
2682   PetscFunctionBegin;
2683   /* If the two matrices have the same copy implementation, use fast copy. */
2684   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
2685     Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2686     Mat_SeqAIJ *b = (Mat_SeqAIJ*)B->data;
2687 
2688     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");
2689     ierr = PetscMemcpy(b->a,a->a,(a->i[A->rmap->n])*sizeof(PetscScalar));CHKERRQ(ierr);
2690     ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
2691   } else {
2692     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
2693   }
2694   PetscFunctionReturn(0);
2695 }
2696 
2697 PetscErrorCode MatSetUp_SeqAIJ(Mat A)
2698 {
2699   PetscErrorCode ierr;
2700 
2701   PetscFunctionBegin;
2702   ierr =  MatSeqAIJSetPreallocation_SeqAIJ(A,PETSC_DEFAULT,0);CHKERRQ(ierr);
2703   PetscFunctionReturn(0);
2704 }
2705 
2706 PetscErrorCode MatSeqAIJGetArray_SeqAIJ(Mat A,PetscScalar *array[])
2707 {
2708   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2709 
2710   PetscFunctionBegin;
2711   *array = a->a;
2712   PetscFunctionReturn(0);
2713 }
2714 
2715 PetscErrorCode MatSeqAIJRestoreArray_SeqAIJ(Mat A,PetscScalar *array[])
2716 {
2717   PetscFunctionBegin;
2718   PetscFunctionReturn(0);
2719 }
2720 
2721 /*
2722    Computes the number of nonzeros per row needed for preallocation when X and Y
2723    have different nonzero structure.
2724 */
2725 PetscErrorCode MatAXPYGetPreallocation_SeqX_private(PetscInt m,const PetscInt *xi,const PetscInt *xj,const PetscInt *yi,const PetscInt *yj,PetscInt *nnz)
2726 {
2727   PetscInt       i,j,k,nzx,nzy;
2728 
2729   PetscFunctionBegin;
2730   /* Set the number of nonzeros in the new matrix */
2731   for (i=0; i<m; i++) {
2732     const PetscInt *xjj = xj+xi[i],*yjj = yj+yi[i];
2733     nzx = xi[i+1] - xi[i];
2734     nzy = yi[i+1] - yi[i];
2735     nnz[i] = 0;
2736     for (j=0,k=0; j<nzx; j++) {                   /* Point in X */
2737       for (; k<nzy && yjj[k]<xjj[j]; k++) nnz[i]++; /* Catch up to X */
2738       if (k<nzy && yjj[k]==xjj[j]) k++;             /* Skip duplicate */
2739       nnz[i]++;
2740     }
2741     for (; k<nzy; k++) nnz[i]++;
2742   }
2743   PetscFunctionReturn(0);
2744 }
2745 
2746 PetscErrorCode MatAXPYGetPreallocation_SeqAIJ(Mat Y,Mat X,PetscInt *nnz)
2747 {
2748   PetscInt       m = Y->rmap->N;
2749   Mat_SeqAIJ     *x = (Mat_SeqAIJ*)X->data;
2750   Mat_SeqAIJ     *y = (Mat_SeqAIJ*)Y->data;
2751   PetscErrorCode ierr;
2752 
2753   PetscFunctionBegin;
2754   /* Set the number of nonzeros in the new matrix */
2755   ierr = MatAXPYGetPreallocation_SeqX_private(m,x->i,x->j,y->i,y->j,nnz);CHKERRQ(ierr);
2756   PetscFunctionReturn(0);
2757 }
2758 
2759 PetscErrorCode MatAXPY_SeqAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
2760 {
2761   PetscErrorCode ierr;
2762   Mat_SeqAIJ     *x = (Mat_SeqAIJ*)X->data,*y = (Mat_SeqAIJ*)Y->data;
2763   PetscBLASInt   one=1,bnz;
2764 
2765   PetscFunctionBegin;
2766   ierr = PetscBLASIntCast(x->nz,&bnz);CHKERRQ(ierr);
2767   if (str == SAME_NONZERO_PATTERN) {
2768     PetscScalar alpha = a;
2769     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
2770     ierr = MatSeqAIJInvalidateDiagonal(Y);CHKERRQ(ierr);
2771     ierr = PetscObjectStateIncrease((PetscObject)Y);CHKERRQ(ierr);
2772   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
2773     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
2774   } else {
2775     Mat      B;
2776     PetscInt *nnz;
2777     ierr = PetscMalloc1(Y->rmap->N,&nnz);CHKERRQ(ierr);
2778     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
2779     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
2780     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
2781     ierr = MatSetBlockSizesFromMats(B,Y,Y);CHKERRQ(ierr);
2782     ierr = MatSetType(B,(MatType) ((PetscObject)Y)->type_name);CHKERRQ(ierr);
2783     ierr = MatAXPYGetPreallocation_SeqAIJ(Y,X,nnz);CHKERRQ(ierr);
2784     ierr = MatSeqAIJSetPreallocation(B,0,nnz);CHKERRQ(ierr);
2785     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
2786     ierr = MatHeaderReplace(Y,&B);CHKERRQ(ierr);
2787     ierr = PetscFree(nnz);CHKERRQ(ierr);
2788   }
2789   PetscFunctionReturn(0);
2790 }
2791 
2792 PetscErrorCode  MatConjugate_SeqAIJ(Mat mat)
2793 {
2794 #if defined(PETSC_USE_COMPLEX)
2795   Mat_SeqAIJ  *aij = (Mat_SeqAIJ*)mat->data;
2796   PetscInt    i,nz;
2797   PetscScalar *a;
2798 
2799   PetscFunctionBegin;
2800   nz = aij->nz;
2801   a  = aij->a;
2802   for (i=0; i<nz; i++) a[i] = PetscConj(a[i]);
2803 #else
2804   PetscFunctionBegin;
2805 #endif
2806   PetscFunctionReturn(0);
2807 }
2808 
2809 PetscErrorCode MatGetRowMaxAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2810 {
2811   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2812   PetscErrorCode ierr;
2813   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2814   PetscReal      atmp;
2815   PetscScalar    *x;
2816   MatScalar      *aa;
2817 
2818   PetscFunctionBegin;
2819   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2820   aa = a->a;
2821   ai = a->i;
2822   aj = a->j;
2823 
2824   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2825   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2826   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2827   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2828   for (i=0; i<m; i++) {
2829     ncols = ai[1] - ai[0]; ai++;
2830     x[i]  = 0.0;
2831     for (j=0; j<ncols; j++) {
2832       atmp = PetscAbsScalar(*aa);
2833       if (PetscAbsScalar(x[i]) < atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
2834       aa++; aj++;
2835     }
2836   }
2837   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2838   PetscFunctionReturn(0);
2839 }
2840 
2841 PetscErrorCode MatGetRowMax_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2842 {
2843   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2844   PetscErrorCode ierr;
2845   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2846   PetscScalar    *x;
2847   MatScalar      *aa;
2848 
2849   PetscFunctionBegin;
2850   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2851   aa = a->a;
2852   ai = a->i;
2853   aj = a->j;
2854 
2855   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2856   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2857   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2858   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2859   for (i=0; i<m; i++) {
2860     ncols = ai[1] - ai[0]; ai++;
2861     if (ncols == A->cmap->n) { /* row is dense */
2862       x[i] = *aa; if (idx) idx[i] = 0;
2863     } else {  /* row is sparse so already KNOW maximum is 0.0 or higher */
2864       x[i] = 0.0;
2865       if (idx) {
2866         idx[i] = 0; /* in case ncols is zero */
2867         for (j=0;j<ncols;j++) { /* find first implicit 0.0 in the row */
2868           if (aj[j] > j) {
2869             idx[i] = j;
2870             break;
2871           }
2872         }
2873       }
2874     }
2875     for (j=0; j<ncols; j++) {
2876       if (PetscRealPart(x[i]) < PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
2877       aa++; aj++;
2878     }
2879   }
2880   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2881   PetscFunctionReturn(0);
2882 }
2883 
2884 PetscErrorCode MatGetRowMinAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2885 {
2886   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2887   PetscErrorCode ierr;
2888   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2889   PetscReal      atmp;
2890   PetscScalar    *x;
2891   MatScalar      *aa;
2892 
2893   PetscFunctionBegin;
2894   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2895   aa = a->a;
2896   ai = a->i;
2897   aj = a->j;
2898 
2899   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2900   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2901   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2902   if (n != A->rmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector, %D vs. %D rows", A->rmap->n, n);
2903   for (i=0; i<m; i++) {
2904     ncols = ai[1] - ai[0]; ai++;
2905     if (ncols) {
2906       /* Get first nonzero */
2907       for (j = 0; j < ncols; j++) {
2908         atmp = PetscAbsScalar(aa[j]);
2909         if (atmp > 1.0e-12) {
2910           x[i] = atmp;
2911           if (idx) idx[i] = aj[j];
2912           break;
2913         }
2914       }
2915       if (j == ncols) {x[i] = PetscAbsScalar(*aa); if (idx) idx[i] = *aj;}
2916     } else {
2917       x[i] = 0.0; if (idx) idx[i] = 0;
2918     }
2919     for (j = 0; j < ncols; j++) {
2920       atmp = PetscAbsScalar(*aa);
2921       if (atmp > 1.0e-12 && PetscAbsScalar(x[i]) > atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
2922       aa++; aj++;
2923     }
2924   }
2925   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2926   PetscFunctionReturn(0);
2927 }
2928 
2929 PetscErrorCode MatGetRowMin_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2930 {
2931   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
2932   PetscErrorCode  ierr;
2933   PetscInt        i,j,m = A->rmap->n,ncols,n;
2934   const PetscInt  *ai,*aj;
2935   PetscScalar     *x;
2936   const MatScalar *aa;
2937 
2938   PetscFunctionBegin;
2939   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2940   aa = a->a;
2941   ai = a->i;
2942   aj = a->j;
2943 
2944   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2945   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2946   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2947   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2948   for (i=0; i<m; i++) {
2949     ncols = ai[1] - ai[0]; ai++;
2950     if (ncols == A->cmap->n) { /* row is dense */
2951       x[i] = *aa; if (idx) idx[i] = 0;
2952     } else {  /* row is sparse so already KNOW minimum is 0.0 or lower */
2953       x[i] = 0.0;
2954       if (idx) {   /* find first implicit 0.0 in the row */
2955         idx[i] = 0; /* in case ncols is zero */
2956         for (j=0; j<ncols; j++) {
2957           if (aj[j] > j) {
2958             idx[i] = j;
2959             break;
2960           }
2961         }
2962       }
2963     }
2964     for (j=0; j<ncols; j++) {
2965       if (PetscRealPart(x[i]) > PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
2966       aa++; aj++;
2967     }
2968   }
2969   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2970   PetscFunctionReturn(0);
2971 }
2972 
2973 #include <petscblaslapack.h>
2974 #include <petsc/private/kernels/blockinvert.h>
2975 
2976 PetscErrorCode MatInvertBlockDiagonal_SeqAIJ(Mat A,const PetscScalar **values)
2977 {
2978   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
2979   PetscErrorCode ierr;
2980   PetscInt       i,bs = PetscAbs(A->rmap->bs),mbs = A->rmap->n/bs,ipvt[5],bs2 = bs*bs,*v_pivots,ij[7],*IJ,j;
2981   MatScalar      *diag,work[25],*v_work;
2982   PetscReal      shift = 0.0;
2983   PetscBool      allowzeropivot,zeropivotdetected=PETSC_FALSE;
2984 
2985   PetscFunctionBegin;
2986   allowzeropivot = PetscNot(A->erroriffailure);
2987   if (a->ibdiagvalid) {
2988     if (values) *values = a->ibdiag;
2989     PetscFunctionReturn(0);
2990   }
2991   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
2992   if (!a->ibdiag) {
2993     ierr = PetscMalloc1(bs2*mbs,&a->ibdiag);CHKERRQ(ierr);
2994     ierr = PetscLogObjectMemory((PetscObject)A,bs2*mbs*sizeof(PetscScalar));CHKERRQ(ierr);
2995   }
2996   diag = a->ibdiag;
2997   if (values) *values = a->ibdiag;
2998   /* factor and invert each block */
2999   switch (bs) {
3000   case 1:
3001     for (i=0; i<mbs; i++) {
3002       ierr    = MatGetValues(A,1,&i,1,&i,diag+i);CHKERRQ(ierr);
3003       if (PetscAbsScalar(diag[i] + shift) < PETSC_MACHINE_EPSILON) {
3004         if (allowzeropivot) {
3005           A->factorerrortype             = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3006           A->factorerror_zeropivot_value = PetscAbsScalar(diag[i]);
3007           A->factorerror_zeropivot_row   = i;
3008           ierr = PetscInfo3(A,"Zero pivot, row %D pivot %g tolerance %g\n",i,(double)PetscAbsScalar(diag[i]),(double)PETSC_MACHINE_EPSILON);CHKERRQ(ierr);
3009         } else SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_MAT_LU_ZRPVT,"Zero pivot, row %D pivot %g tolerance %g",i,(double)PetscAbsScalar(diag[i]),(double)PETSC_MACHINE_EPSILON);
3010       }
3011       diag[i] = (PetscScalar)1.0 / (diag[i] + shift);
3012     }
3013     break;
3014   case 2:
3015     for (i=0; i<mbs; i++) {
3016       ij[0] = 2*i; ij[1] = 2*i + 1;
3017       ierr  = MatGetValues(A,2,ij,2,ij,diag);CHKERRQ(ierr);
3018       ierr  = PetscKernel_A_gets_inverse_A_2(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3019       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3020       ierr  = PetscKernel_A_gets_transpose_A_2(diag);CHKERRQ(ierr);
3021       diag += 4;
3022     }
3023     break;
3024   case 3:
3025     for (i=0; i<mbs; i++) {
3026       ij[0] = 3*i; ij[1] = 3*i + 1; ij[2] = 3*i + 2;
3027       ierr  = MatGetValues(A,3,ij,3,ij,diag);CHKERRQ(ierr);
3028       ierr  = PetscKernel_A_gets_inverse_A_3(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3029       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3030       ierr  = PetscKernel_A_gets_transpose_A_3(diag);CHKERRQ(ierr);
3031       diag += 9;
3032     }
3033     break;
3034   case 4:
3035     for (i=0; i<mbs; i++) {
3036       ij[0] = 4*i; ij[1] = 4*i + 1; ij[2] = 4*i + 2; ij[3] = 4*i + 3;
3037       ierr  = MatGetValues(A,4,ij,4,ij,diag);CHKERRQ(ierr);
3038       ierr  = PetscKernel_A_gets_inverse_A_4(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3039       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3040       ierr  = PetscKernel_A_gets_transpose_A_4(diag);CHKERRQ(ierr);
3041       diag += 16;
3042     }
3043     break;
3044   case 5:
3045     for (i=0; i<mbs; i++) {
3046       ij[0] = 5*i; ij[1] = 5*i + 1; ij[2] = 5*i + 2; ij[3] = 5*i + 3; ij[4] = 5*i + 4;
3047       ierr  = MatGetValues(A,5,ij,5,ij,diag);CHKERRQ(ierr);
3048       ierr  = PetscKernel_A_gets_inverse_A_5(diag,ipvt,work,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3049       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3050       ierr  = PetscKernel_A_gets_transpose_A_5(diag);CHKERRQ(ierr);
3051       diag += 25;
3052     }
3053     break;
3054   case 6:
3055     for (i=0; i<mbs; i++) {
3056       ij[0] = 6*i; ij[1] = 6*i + 1; ij[2] = 6*i + 2; ij[3] = 6*i + 3; ij[4] = 6*i + 4; ij[5] = 6*i + 5;
3057       ierr  = MatGetValues(A,6,ij,6,ij,diag);CHKERRQ(ierr);
3058       ierr  = PetscKernel_A_gets_inverse_A_6(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3059       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3060       ierr  = PetscKernel_A_gets_transpose_A_6(diag);CHKERRQ(ierr);
3061       diag += 36;
3062     }
3063     break;
3064   case 7:
3065     for (i=0; i<mbs; i++) {
3066       ij[0] = 7*i; ij[1] = 7*i + 1; ij[2] = 7*i + 2; ij[3] = 7*i + 3; ij[4] = 7*i + 4; ij[5] = 7*i + 5; ij[5] = 7*i + 6;
3067       ierr  = MatGetValues(A,7,ij,7,ij,diag);CHKERRQ(ierr);
3068       ierr  = PetscKernel_A_gets_inverse_A_7(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3069       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3070       ierr  = PetscKernel_A_gets_transpose_A_7(diag);CHKERRQ(ierr);
3071       diag += 49;
3072     }
3073     break;
3074   default:
3075     ierr = PetscMalloc3(bs,&v_work,bs,&v_pivots,bs,&IJ);CHKERRQ(ierr);
3076     for (i=0; i<mbs; i++) {
3077       for (j=0; j<bs; j++) {
3078         IJ[j] = bs*i + j;
3079       }
3080       ierr  = MatGetValues(A,bs,IJ,bs,IJ,diag);CHKERRQ(ierr);
3081       ierr  = PetscKernel_A_gets_inverse_A(bs,diag,v_pivots,v_work,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3082       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3083       ierr  = PetscKernel_A_gets_transpose_A_N(diag,bs);CHKERRQ(ierr);
3084       diag += bs2;
3085     }
3086     ierr = PetscFree3(v_work,v_pivots,IJ);CHKERRQ(ierr);
3087   }
3088   a->ibdiagvalid = PETSC_TRUE;
3089   PetscFunctionReturn(0);
3090 }
3091 
3092 static PetscErrorCode  MatSetRandom_SeqAIJ(Mat x,PetscRandom rctx)
3093 {
3094   PetscErrorCode ierr;
3095   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)x->data;
3096   PetscScalar    a;
3097   PetscInt       m,n,i,j,col;
3098 
3099   PetscFunctionBegin;
3100   if (!x->assembled) {
3101     ierr = MatGetSize(x,&m,&n);CHKERRQ(ierr);
3102     for (i=0; i<m; i++) {
3103       for (j=0; j<aij->imax[i]; j++) {
3104         ierr = PetscRandomGetValue(rctx,&a);CHKERRQ(ierr);
3105         col  = (PetscInt)(n*PetscRealPart(a));
3106         ierr = MatSetValues(x,1,&i,1,&col,&a,ADD_VALUES);CHKERRQ(ierr);
3107       }
3108     }
3109   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet coded");
3110   ierr = MatAssemblyBegin(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3111   ierr = MatAssemblyEnd(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3112   PetscFunctionReturn(0);
3113 }
3114 
3115 PetscErrorCode MatShift_SeqAIJ(Mat Y,PetscScalar a)
3116 {
3117   PetscErrorCode ierr;
3118   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)Y->data;
3119 
3120   PetscFunctionBegin;
3121   if (!Y->preallocated || !aij->nz) {
3122     ierr = MatSeqAIJSetPreallocation(Y,1,NULL);CHKERRQ(ierr);
3123   }
3124   ierr = MatShift_Basic(Y,a);CHKERRQ(ierr);
3125   PetscFunctionReturn(0);
3126 }
3127 
3128 /* -------------------------------------------------------------------*/
3129 static struct _MatOps MatOps_Values = { MatSetValues_SeqAIJ,
3130                                         MatGetRow_SeqAIJ,
3131                                         MatRestoreRow_SeqAIJ,
3132                                         MatMult_SeqAIJ,
3133                                 /*  4*/ MatMultAdd_SeqAIJ,
3134                                         MatMultTranspose_SeqAIJ,
3135                                         MatMultTransposeAdd_SeqAIJ,
3136                                         0,
3137                                         0,
3138                                         0,
3139                                 /* 10*/ 0,
3140                                         MatLUFactor_SeqAIJ,
3141                                         0,
3142                                         MatSOR_SeqAIJ,
3143                                         MatTranspose_SeqAIJ,
3144                                 /*1 5*/ MatGetInfo_SeqAIJ,
3145                                         MatEqual_SeqAIJ,
3146                                         MatGetDiagonal_SeqAIJ,
3147                                         MatDiagonalScale_SeqAIJ,
3148                                         MatNorm_SeqAIJ,
3149                                 /* 20*/ 0,
3150                                         MatAssemblyEnd_SeqAIJ,
3151                                         MatSetOption_SeqAIJ,
3152                                         MatZeroEntries_SeqAIJ,
3153                                 /* 24*/ MatZeroRows_SeqAIJ,
3154                                         0,
3155                                         0,
3156                                         0,
3157                                         0,
3158                                 /* 29*/ MatSetUp_SeqAIJ,
3159                                         0,
3160                                         0,
3161                                         0,
3162                                         0,
3163                                 /* 34*/ MatDuplicate_SeqAIJ,
3164                                         0,
3165                                         0,
3166                                         MatILUFactor_SeqAIJ,
3167                                         0,
3168                                 /* 39*/ MatAXPY_SeqAIJ,
3169                                         MatCreateSubMatrices_SeqAIJ,
3170                                         MatIncreaseOverlap_SeqAIJ,
3171                                         MatGetValues_SeqAIJ,
3172                                         MatCopy_SeqAIJ,
3173                                 /* 44*/ MatGetRowMax_SeqAIJ,
3174                                         MatScale_SeqAIJ,
3175                                         MatShift_SeqAIJ,
3176                                         MatDiagonalSet_SeqAIJ,
3177                                         MatZeroRowsColumns_SeqAIJ,
3178                                 /* 49*/ MatSetRandom_SeqAIJ,
3179                                         MatGetRowIJ_SeqAIJ,
3180                                         MatRestoreRowIJ_SeqAIJ,
3181                                         MatGetColumnIJ_SeqAIJ,
3182                                         MatRestoreColumnIJ_SeqAIJ,
3183                                 /* 54*/ MatFDColoringCreate_SeqXAIJ,
3184                                         0,
3185                                         0,
3186                                         MatPermute_SeqAIJ,
3187                                         0,
3188                                 /* 59*/ 0,
3189                                         MatDestroy_SeqAIJ,
3190                                         MatView_SeqAIJ,
3191                                         0,
3192                                         MatMatMatMult_SeqAIJ_SeqAIJ_SeqAIJ,
3193                                 /* 64*/ MatMatMatMultSymbolic_SeqAIJ_SeqAIJ_SeqAIJ,
3194                                         MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqAIJ,
3195                                         0,
3196                                         0,
3197                                         0,
3198                                 /* 69*/ MatGetRowMaxAbs_SeqAIJ,
3199                                         MatGetRowMinAbs_SeqAIJ,
3200                                         0,
3201                                         0,
3202                                         0,
3203                                 /* 74*/ 0,
3204                                         MatFDColoringApply_AIJ,
3205                                         0,
3206                                         0,
3207                                         0,
3208                                 /* 79*/ MatFindZeroDiagonals_SeqAIJ,
3209                                         0,
3210                                         0,
3211                                         0,
3212                                         MatLoad_SeqAIJ,
3213                                 /* 84*/ MatIsSymmetric_SeqAIJ,
3214                                         MatIsHermitian_SeqAIJ,
3215                                         0,
3216                                         0,
3217                                         0,
3218                                 /* 89*/ MatMatMult_SeqAIJ_SeqAIJ,
3219                                         MatMatMultSymbolic_SeqAIJ_SeqAIJ,
3220                                         MatMatMultNumeric_SeqAIJ_SeqAIJ,
3221                                         MatPtAP_SeqAIJ_SeqAIJ,
3222                                         MatPtAPSymbolic_SeqAIJ_SeqAIJ_DenseAxpy,
3223                                 /* 94*/ MatPtAPNumeric_SeqAIJ_SeqAIJ,
3224                                         MatMatTransposeMult_SeqAIJ_SeqAIJ,
3225                                         MatMatTransposeMultSymbolic_SeqAIJ_SeqAIJ,
3226                                         MatMatTransposeMultNumeric_SeqAIJ_SeqAIJ,
3227                                         0,
3228                                 /* 99*/ 0,
3229                                         0,
3230                                         0,
3231                                         MatConjugate_SeqAIJ,
3232                                         0,
3233                                 /*104*/ MatSetValuesRow_SeqAIJ,
3234                                         MatRealPart_SeqAIJ,
3235                                         MatImaginaryPart_SeqAIJ,
3236                                         0,
3237                                         0,
3238                                 /*109*/ MatMatSolve_SeqAIJ,
3239                                         0,
3240                                         MatGetRowMin_SeqAIJ,
3241                                         0,
3242                                         MatMissingDiagonal_SeqAIJ,
3243                                 /*114*/ 0,
3244                                         0,
3245                                         0,
3246                                         0,
3247                                         0,
3248                                 /*119*/ 0,
3249                                         0,
3250                                         0,
3251                                         0,
3252                                         MatGetMultiProcBlock_SeqAIJ,
3253                                 /*124*/ MatFindNonzeroRows_SeqAIJ,
3254                                         MatGetColumnNorms_SeqAIJ,
3255                                         MatInvertBlockDiagonal_SeqAIJ,
3256                                         0,
3257                                         0,
3258                                 /*129*/ 0,
3259                                         MatTransposeMatMult_SeqAIJ_SeqAIJ,
3260                                         MatTransposeMatMultSymbolic_SeqAIJ_SeqAIJ,
3261                                         MatTransposeMatMultNumeric_SeqAIJ_SeqAIJ,
3262                                         MatTransposeColoringCreate_SeqAIJ,
3263                                 /*134*/ MatTransColoringApplySpToDen_SeqAIJ,
3264                                         MatTransColoringApplyDenToSp_SeqAIJ,
3265                                         MatRARt_SeqAIJ_SeqAIJ,
3266                                         MatRARtSymbolic_SeqAIJ_SeqAIJ,
3267                                         MatRARtNumeric_SeqAIJ_SeqAIJ,
3268                                  /*139*/0,
3269                                         0,
3270                                         0,
3271                                         MatFDColoringSetUp_SeqXAIJ,
3272                                         MatFindOffBlockDiagonalEntries_SeqAIJ,
3273                                  /*144*/MatCreateMPIMatConcatenateSeqMat_SeqAIJ,
3274                                         MatDestroySubMatrices_SeqAIJ
3275 };
3276 
3277 PetscErrorCode  MatSeqAIJSetColumnIndices_SeqAIJ(Mat mat,PetscInt *indices)
3278 {
3279   Mat_SeqAIJ *aij = (Mat_SeqAIJ*)mat->data;
3280   PetscInt   i,nz,n;
3281 
3282   PetscFunctionBegin;
3283   nz = aij->maxnz;
3284   n  = mat->rmap->n;
3285   for (i=0; i<nz; i++) {
3286     aij->j[i] = indices[i];
3287   }
3288   aij->nz = nz;
3289   for (i=0; i<n; i++) {
3290     aij->ilen[i] = aij->imax[i];
3291   }
3292   PetscFunctionReturn(0);
3293 }
3294 
3295 /*@
3296     MatSeqAIJSetColumnIndices - Set the column indices for all the rows
3297        in the matrix.
3298 
3299   Input Parameters:
3300 +  mat - the SeqAIJ matrix
3301 -  indices - the column indices
3302 
3303   Level: advanced
3304 
3305   Notes:
3306     This can be called if you have precomputed the nonzero structure of the
3307   matrix and want to provide it to the matrix object to improve the performance
3308   of the MatSetValues() operation.
3309 
3310     You MUST have set the correct numbers of nonzeros per row in the call to
3311   MatCreateSeqAIJ(), and the columns indices MUST be sorted.
3312 
3313     MUST be called before any calls to MatSetValues();
3314 
3315     The indices should start with zero, not one.
3316 
3317 @*/
3318 PetscErrorCode  MatSeqAIJSetColumnIndices(Mat mat,PetscInt *indices)
3319 {
3320   PetscErrorCode ierr;
3321 
3322   PetscFunctionBegin;
3323   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3324   PetscValidPointer(indices,2);
3325   ierr = PetscUseMethod(mat,"MatSeqAIJSetColumnIndices_C",(Mat,PetscInt*),(mat,indices));CHKERRQ(ierr);
3326   PetscFunctionReturn(0);
3327 }
3328 
3329 /* ----------------------------------------------------------------------------------------*/
3330 
3331 PetscErrorCode  MatStoreValues_SeqAIJ(Mat mat)
3332 {
3333   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3334   PetscErrorCode ierr;
3335   size_t         nz = aij->i[mat->rmap->n];
3336 
3337   PetscFunctionBegin;
3338   if (!aij->nonew) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3339 
3340   /* allocate space for values if not already there */
3341   if (!aij->saved_values) {
3342     ierr = PetscMalloc1(nz+1,&aij->saved_values);CHKERRQ(ierr);
3343     ierr = PetscLogObjectMemory((PetscObject)mat,(nz+1)*sizeof(PetscScalar));CHKERRQ(ierr);
3344   }
3345 
3346   /* copy values over */
3347   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3348   PetscFunctionReturn(0);
3349 }
3350 
3351 /*@
3352     MatStoreValues - Stashes a copy of the matrix values; this allows, for
3353        example, reuse of the linear part of a Jacobian, while recomputing the
3354        nonlinear portion.
3355 
3356    Collect on Mat
3357 
3358   Input Parameters:
3359 .  mat - the matrix (currently only AIJ matrices support this option)
3360 
3361   Level: advanced
3362 
3363   Common Usage, with SNESSolve():
3364 $    Create Jacobian matrix
3365 $    Set linear terms into matrix
3366 $    Apply boundary conditions to matrix, at this time matrix must have
3367 $      final nonzero structure (i.e. setting the nonlinear terms and applying
3368 $      boundary conditions again will not change the nonzero structure
3369 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3370 $    ierr = MatStoreValues(mat);
3371 $    Call SNESSetJacobian() with matrix
3372 $    In your Jacobian routine
3373 $      ierr = MatRetrieveValues(mat);
3374 $      Set nonlinear terms in matrix
3375 
3376   Common Usage without SNESSolve(), i.e. when you handle nonlinear solve yourself:
3377 $    // build linear portion of Jacobian
3378 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3379 $    ierr = MatStoreValues(mat);
3380 $    loop over nonlinear iterations
3381 $       ierr = MatRetrieveValues(mat);
3382 $       // call MatSetValues(mat,...) to set nonliner portion of Jacobian
3383 $       // call MatAssemblyBegin/End() on matrix
3384 $       Solve linear system with Jacobian
3385 $    endloop
3386 
3387   Notes:
3388     Matrix must already be assemblied before calling this routine
3389     Must set the matrix option MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE); before
3390     calling this routine.
3391 
3392     When this is called multiple times it overwrites the previous set of stored values
3393     and does not allocated additional space.
3394 
3395 .seealso: MatRetrieveValues()
3396 
3397 @*/
3398 PetscErrorCode  MatStoreValues(Mat mat)
3399 {
3400   PetscErrorCode ierr;
3401 
3402   PetscFunctionBegin;
3403   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3404   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3405   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3406   ierr = PetscUseMethod(mat,"MatStoreValues_C",(Mat),(mat));CHKERRQ(ierr);
3407   PetscFunctionReturn(0);
3408 }
3409 
3410 PetscErrorCode  MatRetrieveValues_SeqAIJ(Mat mat)
3411 {
3412   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3413   PetscErrorCode ierr;
3414   PetscInt       nz = aij->i[mat->rmap->n];
3415 
3416   PetscFunctionBegin;
3417   if (!aij->nonew) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3418   if (!aij->saved_values) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
3419   /* copy values over */
3420   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3421   PetscFunctionReturn(0);
3422 }
3423 
3424 /*@
3425     MatRetrieveValues - Retrieves the copy of the matrix values; this allows, for
3426        example, reuse of the linear part of a Jacobian, while recomputing the
3427        nonlinear portion.
3428 
3429    Collect on Mat
3430 
3431   Input Parameters:
3432 .  mat - the matrix (currently only AIJ matrices support this option)
3433 
3434   Level: advanced
3435 
3436 .seealso: MatStoreValues()
3437 
3438 @*/
3439 PetscErrorCode  MatRetrieveValues(Mat mat)
3440 {
3441   PetscErrorCode ierr;
3442 
3443   PetscFunctionBegin;
3444   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3445   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3446   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3447   ierr = PetscUseMethod(mat,"MatRetrieveValues_C",(Mat),(mat));CHKERRQ(ierr);
3448   PetscFunctionReturn(0);
3449 }
3450 
3451 
3452 /* --------------------------------------------------------------------------------*/
3453 /*@C
3454    MatCreateSeqAIJ - Creates a sparse matrix in AIJ (compressed row) format
3455    (the default parallel PETSc format).  For good matrix assembly performance
3456    the user should preallocate the matrix storage by setting the parameter nz
3457    (or the array nnz).  By setting these parameters accurately, performance
3458    during matrix assembly can be increased by more than a factor of 50.
3459 
3460    Collective on MPI_Comm
3461 
3462    Input Parameters:
3463 +  comm - MPI communicator, set to PETSC_COMM_SELF
3464 .  m - number of rows
3465 .  n - number of columns
3466 .  nz - number of nonzeros per row (same for all rows)
3467 -  nnz - array containing the number of nonzeros in the various rows
3468          (possibly different for each row) or NULL
3469 
3470    Output Parameter:
3471 .  A - the matrix
3472 
3473    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3474    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3475    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3476 
3477    Notes:
3478    If nnz is given then nz is ignored
3479 
3480    The AIJ format (also called the Yale sparse matrix format or
3481    compressed row storage), is fully compatible with standard Fortran 77
3482    storage.  That is, the stored row and column indices can begin at
3483    either one (as in Fortran) or zero.  See the users' manual for details.
3484 
3485    Specify the preallocated storage with either nz or nnz (not both).
3486    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3487    allocation.  For large problems you MUST preallocate memory or you
3488    will get TERRIBLE performance, see the users' manual chapter on matrices.
3489 
3490    By default, this format uses inodes (identical nodes) when possible, to
3491    improve numerical efficiency of matrix-vector products and solves. We
3492    search for consecutive rows with the same nonzero structure, thereby
3493    reusing matrix information to achieve increased efficiency.
3494 
3495    Options Database Keys:
3496 +  -mat_no_inode  - Do not use inodes
3497 -  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3498 
3499    Level: intermediate
3500 
3501 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays()
3502 
3503 @*/
3504 PetscErrorCode  MatCreateSeqAIJ(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
3505 {
3506   PetscErrorCode ierr;
3507 
3508   PetscFunctionBegin;
3509   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3510   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
3511   ierr = MatSetType(*A,MATSEQAIJ);CHKERRQ(ierr);
3512   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*A,nz,nnz);CHKERRQ(ierr);
3513   PetscFunctionReturn(0);
3514 }
3515 
3516 /*@C
3517    MatSeqAIJSetPreallocation - For good matrix assembly performance
3518    the user should preallocate the matrix storage by setting the parameter nz
3519    (or the array nnz).  By setting these parameters accurately, performance
3520    during matrix assembly can be increased by more than a factor of 50.
3521 
3522    Collective on MPI_Comm
3523 
3524    Input Parameters:
3525 +  B - The matrix
3526 .  nz - number of nonzeros per row (same for all rows)
3527 -  nnz - array containing the number of nonzeros in the various rows
3528          (possibly different for each row) or NULL
3529 
3530    Notes:
3531      If nnz is given then nz is ignored
3532 
3533     The AIJ format (also called the Yale sparse matrix format or
3534    compressed row storage), is fully compatible with standard Fortran 77
3535    storage.  That is, the stored row and column indices can begin at
3536    either one (as in Fortran) or zero.  See the users' manual for details.
3537 
3538    Specify the preallocated storage with either nz or nnz (not both).
3539    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3540    allocation.  For large problems you MUST preallocate memory or you
3541    will get TERRIBLE performance, see the users' manual chapter on matrices.
3542 
3543    You can call MatGetInfo() to get information on how effective the preallocation was;
3544    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3545    You can also run with the option -info and look for messages with the string
3546    malloc in them to see if additional memory allocation was needed.
3547 
3548    Developers: Use nz of MAT_SKIP_ALLOCATION to not allocate any space for the matrix
3549    entries or columns indices
3550 
3551    By default, this format uses inodes (identical nodes) when possible, to
3552    improve numerical efficiency of matrix-vector products and solves. We
3553    search for consecutive rows with the same nonzero structure, thereby
3554    reusing matrix information to achieve increased efficiency.
3555 
3556    Options Database Keys:
3557 +  -mat_no_inode  - Do not use inodes
3558 .  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3559 -  -mat_aij_oneindex - Internally use indexing starting at 1
3560         rather than 0.  Note that when calling MatSetValues(),
3561         the user still MUST index entries starting at 0!
3562 
3563    Level: intermediate
3564 
3565 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays(), MatGetInfo()
3566 
3567 @*/
3568 PetscErrorCode  MatSeqAIJSetPreallocation(Mat B,PetscInt nz,const PetscInt nnz[])
3569 {
3570   PetscErrorCode ierr;
3571 
3572   PetscFunctionBegin;
3573   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3574   PetscValidType(B,1);
3575   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocation_C",(Mat,PetscInt,const PetscInt[]),(B,nz,nnz));CHKERRQ(ierr);
3576   PetscFunctionReturn(0);
3577 }
3578 
3579 PetscErrorCode  MatSeqAIJSetPreallocation_SeqAIJ(Mat B,PetscInt nz,const PetscInt *nnz)
3580 {
3581   Mat_SeqAIJ     *b;
3582   PetscBool      skipallocation = PETSC_FALSE,realalloc = PETSC_FALSE;
3583   PetscErrorCode ierr;
3584   PetscInt       i;
3585 
3586   PetscFunctionBegin;
3587   if (nz >= 0 || nnz) realalloc = PETSC_TRUE;
3588   if (nz == MAT_SKIP_ALLOCATION) {
3589     skipallocation = PETSC_TRUE;
3590     nz             = 0;
3591   }
3592   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3593   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3594 
3595   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
3596   if (nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %D",nz);
3597   if (nnz) {
3598     for (i=0; i<B->rmap->n; i++) {
3599       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]);
3600       if (nnz[i] > B->cmap->n) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nnz cannot be greater than row length: local row %D value %d rowlength %D",i,nnz[i],B->cmap->n);
3601     }
3602   }
3603 
3604   B->preallocated = PETSC_TRUE;
3605 
3606   b = (Mat_SeqAIJ*)B->data;
3607 
3608   if (!skipallocation) {
3609     if (!b->imax) {
3610       ierr = PetscMalloc2(B->rmap->n,&b->imax,B->rmap->n,&b->ilen);CHKERRQ(ierr);
3611       ierr = PetscLogObjectMemory((PetscObject)B,2*B->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
3612     }
3613     if (!b->ipre) {
3614       ierr = PetscMalloc1(B->rmap->n,&b->ipre);CHKERRQ(ierr);
3615       ierr = PetscLogObjectMemory((PetscObject)B,B->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
3616     }
3617     if (!nnz) {
3618       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 10;
3619       else if (nz < 0) nz = 1;
3620       for (i=0; i<B->rmap->n; i++) b->imax[i] = nz;
3621       nz = nz*B->rmap->n;
3622     } else {
3623       nz = 0;
3624       for (i=0; i<B->rmap->n; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
3625     }
3626     /* b->ilen will count nonzeros in each row so far. */
3627     for (i=0; i<B->rmap->n; i++) b->ilen[i] = 0;
3628 
3629     /* allocate the matrix space */
3630     /* FIXME: should B's old memory be unlogged? */
3631     ierr    = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
3632     if (B->structure_only) {
3633       ierr    = PetscMalloc1(nz,&b->j);CHKERRQ(ierr);
3634       ierr    = PetscMalloc1(B->rmap->n+1,&b->i);CHKERRQ(ierr);
3635       ierr    = PetscLogObjectMemory((PetscObject)B,(B->rmap->n+1)*sizeof(PetscInt)+nz*sizeof(PetscInt));CHKERRQ(ierr);
3636     } else {
3637       ierr    = PetscMalloc3(nz,&b->a,nz,&b->j,B->rmap->n+1,&b->i);CHKERRQ(ierr);
3638       ierr    = PetscLogObjectMemory((PetscObject)B,(B->rmap->n+1)*sizeof(PetscInt)+nz*(sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
3639     }
3640     b->i[0] = 0;
3641     for (i=1; i<B->rmap->n+1; i++) {
3642       b->i[i] = b->i[i-1] + b->imax[i-1];
3643     }
3644     if (B->structure_only) {
3645       b->singlemalloc = PETSC_FALSE;
3646       b->free_a       = PETSC_FALSE;
3647     } else {
3648       b->singlemalloc = PETSC_TRUE;
3649       b->free_a       = PETSC_TRUE;
3650     }
3651     b->free_ij      = PETSC_TRUE;
3652   } else {
3653     b->free_a  = PETSC_FALSE;
3654     b->free_ij = PETSC_FALSE;
3655   }
3656 
3657   if (b->ipre && nnz != b->ipre  && b->imax) {
3658     /* reserve user-requested sparsity */
3659     ierr = PetscMemcpy(b->ipre,b->imax,B->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
3660   }
3661 
3662 
3663   b->nz               = 0;
3664   b->maxnz            = nz;
3665   B->info.nz_unneeded = (double)b->maxnz;
3666   if (realalloc) {
3667     ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3668   }
3669   B->was_assembled = PETSC_FALSE;
3670   B->assembled     = PETSC_FALSE;
3671   PetscFunctionReturn(0);
3672 }
3673 
3674 
3675 PetscErrorCode MatResetPreallocation_SeqAIJ(Mat A)
3676 {
3677   Mat_SeqAIJ     *a;
3678   PetscInt       i;
3679   PetscErrorCode ierr;
3680 
3681   PetscFunctionBegin;
3682   PetscValidHeaderSpecific(A,MAT_CLASSID,1);
3683   a = (Mat_SeqAIJ*)A->data;
3684   /* if no saved info, we just return without doing anything  */
3685   if (!a->ipre) {
3686     ierr = PetscInfo(A, "No saved preallocation info \n");CHKERRQ(ierr);
3687     PetscFunctionReturn(0);
3688   }
3689   if (!a->i || !a->j || !a->a || !a->imax || !a->ilen) {
3690     ierr = PetscInfo(A, "Memory info is incomplete, and can not reset preallocation \n");CHKERRQ(ierr);
3691     PetscFunctionReturn(0);
3692   }
3693   ierr = PetscMemcpy(a->imax,a->ipre,A->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
3694   ierr = PetscMemzero(a->ilen,A->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
3695   a->i[0] = 0;
3696   for (i=1; i<A->rmap->n+1; i++) {
3697     a->i[i] = a->i[i-1] + a->imax[i-1];
3698   }
3699   A->preallocated     = PETSC_TRUE;
3700   a->nz               = 0;
3701   a->maxnz            = a->i[A->rmap->n];
3702   A->info.nz_unneeded = (double)a->maxnz;
3703   A->was_assembled    = PETSC_FALSE;
3704   A->assembled        = PETSC_FALSE;
3705   PetscFunctionReturn(0);
3706 }
3707 
3708 /*@
3709    MatSeqAIJSetPreallocationCSR - Allocates memory for a sparse sequential matrix in AIJ format.
3710 
3711    Input Parameters:
3712 +  B - the matrix
3713 .  i - the indices into j for the start of each row (starts with zero)
3714 .  j - the column indices for each row (starts with zero) these must be sorted for each row
3715 -  v - optional values in the matrix
3716 
3717    Level: developer
3718 
3719    The i,j,v values are COPIED with this routine; to avoid the copy use MatCreateSeqAIJWithArrays()
3720 
3721 .keywords: matrix, aij, compressed row, sparse, sequential
3722 
3723 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatSeqAIJSetPreallocation(), MatCreateSeqAIJ(), SeqAIJ
3724 @*/
3725 PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat B,const PetscInt i[],const PetscInt j[],const PetscScalar v[])
3726 {
3727   PetscErrorCode ierr;
3728 
3729   PetscFunctionBegin;
3730   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3731   PetscValidType(B,1);
3732   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocationCSR_C",(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,i,j,v));CHKERRQ(ierr);
3733   PetscFunctionReturn(0);
3734 }
3735 
3736 PetscErrorCode  MatSeqAIJSetPreallocationCSR_SeqAIJ(Mat B,const PetscInt Ii[],const PetscInt J[],const PetscScalar v[])
3737 {
3738   PetscInt       i;
3739   PetscInt       m,n;
3740   PetscInt       nz;
3741   PetscInt       *nnz, nz_max = 0;
3742   PetscScalar    *values;
3743   PetscErrorCode ierr;
3744 
3745   PetscFunctionBegin;
3746   if (Ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Ii[0] must be 0 it is %D", Ii[0]);
3747 
3748   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3749   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3750 
3751   ierr = MatGetSize(B, &m, &n);CHKERRQ(ierr);
3752   ierr = PetscMalloc1(m+1, &nnz);CHKERRQ(ierr);
3753   for (i = 0; i < m; i++) {
3754     nz     = Ii[i+1]- Ii[i];
3755     nz_max = PetscMax(nz_max, nz);
3756     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Local row %D has a negative number of columns %D", i, nnz);
3757     nnz[i] = nz;
3758   }
3759   ierr = MatSeqAIJSetPreallocation(B, 0, nnz);CHKERRQ(ierr);
3760   ierr = PetscFree(nnz);CHKERRQ(ierr);
3761 
3762   if (v) {
3763     values = (PetscScalar*) v;
3764   } else {
3765     ierr = PetscCalloc1(nz_max, &values);CHKERRQ(ierr);
3766   }
3767 
3768   for (i = 0; i < m; i++) {
3769     nz   = Ii[i+1] - Ii[i];
3770     ierr = MatSetValues_SeqAIJ(B, 1, &i, nz, J+Ii[i], values + (v ? Ii[i] : 0), INSERT_VALUES);CHKERRQ(ierr);
3771   }
3772 
3773   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3774   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3775 
3776   if (!v) {
3777     ierr = PetscFree(values);CHKERRQ(ierr);
3778   }
3779   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3780   PetscFunctionReturn(0);
3781 }
3782 
3783 #include <../src/mat/impls/dense/seq/dense.h>
3784 #include <petsc/private/kernels/petscaxpy.h>
3785 
3786 /*
3787     Computes (B'*A')' since computing B*A directly is untenable
3788 
3789                n                       p                          p
3790         (              )       (              )         (                  )
3791       m (      A       )  *  n (       B      )   =   m (         C        )
3792         (              )       (              )         (                  )
3793 
3794 */
3795 PetscErrorCode MatMatMultNumeric_SeqDense_SeqAIJ(Mat A,Mat B,Mat C)
3796 {
3797   PetscErrorCode    ierr;
3798   Mat_SeqDense      *sub_a = (Mat_SeqDense*)A->data;
3799   Mat_SeqAIJ        *sub_b = (Mat_SeqAIJ*)B->data;
3800   Mat_SeqDense      *sub_c = (Mat_SeqDense*)C->data;
3801   PetscInt          i,n,m,q,p;
3802   const PetscInt    *ii,*idx;
3803   const PetscScalar *b,*a,*a_q;
3804   PetscScalar       *c,*c_q;
3805 
3806   PetscFunctionBegin;
3807   m    = A->rmap->n;
3808   n    = A->cmap->n;
3809   p    = B->cmap->n;
3810   a    = sub_a->v;
3811   b    = sub_b->a;
3812   c    = sub_c->v;
3813   ierr = PetscMemzero(c,m*p*sizeof(PetscScalar));CHKERRQ(ierr);
3814 
3815   ii  = sub_b->i;
3816   idx = sub_b->j;
3817   for (i=0; i<n; i++) {
3818     q = ii[i+1] - ii[i];
3819     while (q-->0) {
3820       c_q = c + m*(*idx);
3821       a_q = a + m*i;
3822       PetscKernelAXPY(c_q,*b,a_q,m);
3823       idx++;
3824       b++;
3825     }
3826   }
3827   PetscFunctionReturn(0);
3828 }
3829 
3830 PetscErrorCode MatMatMultSymbolic_SeqDense_SeqAIJ(Mat A,Mat B,PetscReal fill,Mat *C)
3831 {
3832   PetscErrorCode ierr;
3833   PetscInt       m=A->rmap->n,n=B->cmap->n;
3834   Mat            Cmat;
3835 
3836   PetscFunctionBegin;
3837   if (A->cmap->n != B->rmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"A->cmap->n %D != B->rmap->n %D\n",A->cmap->n,B->rmap->n);
3838   ierr = MatCreate(PetscObjectComm((PetscObject)A),&Cmat);CHKERRQ(ierr);
3839   ierr = MatSetSizes(Cmat,m,n,m,n);CHKERRQ(ierr);
3840   ierr = MatSetBlockSizesFromMats(Cmat,A,B);CHKERRQ(ierr);
3841   ierr = MatSetType(Cmat,MATSEQDENSE);CHKERRQ(ierr);
3842   ierr = MatSeqDenseSetPreallocation(Cmat,NULL);CHKERRQ(ierr);
3843 
3844   Cmat->ops->matmultnumeric = MatMatMultNumeric_SeqDense_SeqAIJ;
3845 
3846   *C = Cmat;
3847   PetscFunctionReturn(0);
3848 }
3849 
3850 /* ----------------------------------------------------------------*/
3851 PETSC_INTERN PetscErrorCode MatMatMult_SeqDense_SeqAIJ(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
3852 {
3853   PetscErrorCode ierr;
3854 
3855   PetscFunctionBegin;
3856   if (scall == MAT_INITIAL_MATRIX) {
3857     ierr = PetscLogEventBegin(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
3858     ierr = MatMatMultSymbolic_SeqDense_SeqAIJ(A,B,fill,C);CHKERRQ(ierr);
3859     ierr = PetscLogEventEnd(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
3860   }
3861   ierr = PetscLogEventBegin(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
3862   ierr = MatMatMultNumeric_SeqDense_SeqAIJ(A,B,*C);CHKERRQ(ierr);
3863   ierr = PetscLogEventEnd(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
3864   PetscFunctionReturn(0);
3865 }
3866 
3867 
3868 /*MC
3869    MATSEQAIJ - MATSEQAIJ = "seqaij" - A matrix type to be used for sequential sparse matrices,
3870    based on compressed sparse row format.
3871 
3872    Options Database Keys:
3873 . -mat_type seqaij - sets the matrix type to "seqaij" during a call to MatSetFromOptions()
3874 
3875   Level: beginner
3876 
3877 .seealso: MatCreateSeqAIJ(), MatSetFromOptions(), MatSetType(), MatCreate(), MatType
3878 M*/
3879 
3880 /*MC
3881    MATAIJ - MATAIJ = "aij" - A matrix type to be used for sparse matrices.
3882 
3883    This matrix type is identical to MATSEQAIJ when constructed with a single process communicator,
3884    and MATMPIAIJ otherwise.  As a result, for single process communicators,
3885   MatSeqAIJSetPreallocation is supported, and similarly MatMPIAIJSetPreallocation is supported
3886   for communicators controlling multiple processes.  It is recommended that you call both of
3887   the above preallocation routines for simplicity.
3888 
3889    Options Database Keys:
3890 . -mat_type aij - sets the matrix type to "aij" during a call to MatSetFromOptions()
3891 
3892   Developer Notes: Subclasses include MATAIJCUSP, MATAIJPERM, MATAIJMKL, MATAIJCRL, and also automatically switches over to use inodes when
3893    enough exist.
3894 
3895   Level: beginner
3896 
3897 .seealso: MatCreateAIJ(), MatCreateSeqAIJ(), MATSEQAIJ,MATMPIAIJ
3898 M*/
3899 
3900 /*MC
3901    MATAIJCRL - MATAIJCRL = "aijcrl" - A matrix type to be used for sparse matrices.
3902 
3903    This matrix type is identical to MATSEQAIJCRL when constructed with a single process communicator,
3904    and MATMPIAIJCRL otherwise.  As a result, for single process communicators,
3905    MatSeqAIJSetPreallocation() is supported, and similarly MatMPIAIJSetPreallocation() is supported
3906   for communicators controlling multiple processes.  It is recommended that you call both of
3907   the above preallocation routines for simplicity.
3908 
3909    Options Database Keys:
3910 . -mat_type aijcrl - sets the matrix type to "aijcrl" during a call to MatSetFromOptions()
3911 
3912   Level: beginner
3913 
3914 .seealso: MatCreateMPIAIJCRL,MATSEQAIJCRL,MATMPIAIJCRL, MATSEQAIJCRL, MATMPIAIJCRL
3915 M*/
3916 
3917 /*@C
3918    MatSeqAIJGetArray - gives access to the array where the data for a MATSEQAIJ matrix is stored
3919 
3920    Not Collective
3921 
3922    Input Parameter:
3923 .  mat - a MATSEQAIJ matrix
3924 
3925    Output Parameter:
3926 .   array - pointer to the data
3927 
3928    Level: intermediate
3929 
3930 .seealso: MatSeqAIJRestoreArray(), MatSeqAIJGetArrayF90()
3931 @*/
3932 PetscErrorCode  MatSeqAIJGetArray(Mat A,PetscScalar **array)
3933 {
3934   PetscErrorCode ierr;
3935 
3936   PetscFunctionBegin;
3937   ierr = PetscUseMethod(A,"MatSeqAIJGetArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
3938   PetscFunctionReturn(0);
3939 }
3940 
3941 /*@C
3942    MatSeqAIJGetMaxRowNonzeros - returns the maximum number of nonzeros in any row
3943 
3944    Not Collective
3945 
3946    Input Parameter:
3947 .  mat - a MATSEQAIJ matrix
3948 
3949    Output Parameter:
3950 .   nz - the maximum number of nonzeros in any row
3951 
3952    Level: intermediate
3953 
3954 .seealso: MatSeqAIJRestoreArray(), MatSeqAIJGetArrayF90()
3955 @*/
3956 PetscErrorCode  MatSeqAIJGetMaxRowNonzeros(Mat A,PetscInt *nz)
3957 {
3958   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)A->data;
3959 
3960   PetscFunctionBegin;
3961   *nz = aij->rmax;
3962   PetscFunctionReturn(0);
3963 }
3964 
3965 /*@C
3966    MatSeqAIJRestoreArray - returns access to the array where the data for a MATSEQAIJ matrix is stored obtained by MatSeqAIJGetArray()
3967 
3968    Not Collective
3969 
3970    Input Parameters:
3971 .  mat - a MATSEQAIJ matrix
3972 .  array - pointer to the data
3973 
3974    Level: intermediate
3975 
3976 .seealso: MatSeqAIJGetArray(), MatSeqAIJRestoreArrayF90()
3977 @*/
3978 PetscErrorCode  MatSeqAIJRestoreArray(Mat A,PetscScalar **array)
3979 {
3980   PetscErrorCode ierr;
3981 
3982   PetscFunctionBegin;
3983   ierr = PetscUseMethod(A,"MatSeqAIJRestoreArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
3984   PetscFunctionReturn(0);
3985 }
3986 
3987 PETSC_EXTERN PetscErrorCode MatCreate_SeqAIJ(Mat B)
3988 {
3989   Mat_SeqAIJ     *b;
3990   PetscErrorCode ierr;
3991   PetscMPIInt    size;
3992 
3993   PetscFunctionBegin;
3994   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&size);CHKERRQ(ierr);
3995   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Comm must be of size 1");
3996 
3997   ierr = PetscNewLog(B,&b);CHKERRQ(ierr);
3998 
3999   B->data = (void*)b;
4000 
4001   ierr = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
4002 
4003   b->row                = 0;
4004   b->col                = 0;
4005   b->icol               = 0;
4006   b->reallocs           = 0;
4007   b->ignorezeroentries  = PETSC_FALSE;
4008   b->roworiented        = PETSC_TRUE;
4009   b->nonew              = 0;
4010   b->diag               = 0;
4011   b->solve_work         = 0;
4012   B->spptr              = 0;
4013   b->saved_values       = 0;
4014   b->idiag              = 0;
4015   b->mdiag              = 0;
4016   b->ssor_work          = 0;
4017   b->omega              = 1.0;
4018   b->fshift             = 0.0;
4019   b->idiagvalid         = PETSC_FALSE;
4020   b->ibdiagvalid        = PETSC_FALSE;
4021   b->keepnonzeropattern = PETSC_FALSE;
4022 
4023   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
4024   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJGetArray_C",MatSeqAIJGetArray_SeqAIJ);CHKERRQ(ierr);
4025   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJRestoreArray_C",MatSeqAIJRestoreArray_SeqAIJ);CHKERRQ(ierr);
4026 
4027 #if defined(PETSC_HAVE_MATLAB_ENGINE)
4028   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEnginePut_C",MatlabEnginePut_SeqAIJ);CHKERRQ(ierr);
4029   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEngineGet_C",MatlabEngineGet_SeqAIJ);CHKERRQ(ierr);
4030 #endif
4031 
4032   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetColumnIndices_C",MatSeqAIJSetColumnIndices_SeqAIJ);CHKERRQ(ierr);
4033   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_SeqAIJ);CHKERRQ(ierr);
4034   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_SeqAIJ);CHKERRQ(ierr);
4035   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqsbaij_C",MatConvert_SeqAIJ_SeqSBAIJ);CHKERRQ(ierr);
4036   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqbaij_C",MatConvert_SeqAIJ_SeqBAIJ);CHKERRQ(ierr);
4037   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijperm_C",MatConvert_SeqAIJ_SeqAIJPERM);CHKERRQ(ierr);
4038 #if defined(PETSC_HAVE_MKL)
4039   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijmkl_C",MatConvert_SeqAIJ_SeqAIJMKL);CHKERRQ(ierr);
4040 #endif
4041   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijcrl_C",MatConvert_SeqAIJ_SeqAIJCRL);CHKERRQ(ierr);
4042 #if defined(PETSC_HAVE_ELEMENTAL)
4043   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_elemental_C",MatConvert_SeqAIJ_Elemental);CHKERRQ(ierr);
4044 #endif
4045 #if defined(PETSC_HAVE_HYPRE)
4046   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_hypre_C",MatConvert_AIJ_HYPRE);CHKERRQ(ierr);
4047   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMatMult_transpose_seqaij_seqaij_C",MatMatMatMult_Transpose_AIJ_AIJ);CHKERRQ(ierr);
4048 #endif
4049   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqdense_C",MatConvert_SeqAIJ_SeqDense);CHKERRQ(ierr);
4050   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4051   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsHermitianTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4052   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocation_C",MatSeqAIJSetPreallocation_SeqAIJ);CHKERRQ(ierr);
4053   ierr = PetscObjectComposeFunction((PetscObject)B,"MatResetPreallocation_C",MatResetPreallocation_SeqAIJ);CHKERRQ(ierr);
4054   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocationCSR_C",MatSeqAIJSetPreallocationCSR_SeqAIJ);CHKERRQ(ierr);
4055   ierr = PetscObjectComposeFunction((PetscObject)B,"MatReorderForNonzeroDiagonal_C",MatReorderForNonzeroDiagonal_SeqAIJ);CHKERRQ(ierr);
4056   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMult_seqdense_seqaij_C",MatMatMult_SeqDense_SeqAIJ);CHKERRQ(ierr);
4057   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultSymbolic_seqdense_seqaij_C",MatMatMultSymbolic_SeqDense_SeqAIJ);CHKERRQ(ierr);
4058   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultNumeric_seqdense_seqaij_C",MatMatMultNumeric_SeqDense_SeqAIJ);CHKERRQ(ierr);
4059   ierr = MatCreate_SeqAIJ_Inode(B);CHKERRQ(ierr);
4060   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
4061   ierr = MatSeqAIJSetTypeFromOptions(B);CHKERRQ(ierr);  /* this allows changing the matrix subtype to say MATSEQAIJPERM */
4062   PetscFunctionReturn(0);
4063 }
4064 
4065 /*
4066     Given a matrix generated with MatGetFactor() duplicates all the information in A into B
4067 */
4068 PetscErrorCode MatDuplicateNoCreate_SeqAIJ(Mat C,Mat A,MatDuplicateOption cpvalues,PetscBool mallocmatspace)
4069 {
4070   Mat_SeqAIJ     *c,*a = (Mat_SeqAIJ*)A->data;
4071   PetscErrorCode ierr;
4072   PetscInt       i,m = A->rmap->n;
4073 
4074   PetscFunctionBegin;
4075   c = (Mat_SeqAIJ*)C->data;
4076 
4077   C->factortype = A->factortype;
4078   c->row        = 0;
4079   c->col        = 0;
4080   c->icol       = 0;
4081   c->reallocs   = 0;
4082 
4083   C->assembled = PETSC_TRUE;
4084 
4085   ierr = PetscLayoutReference(A->rmap,&C->rmap);CHKERRQ(ierr);
4086   ierr = PetscLayoutReference(A->cmap,&C->cmap);CHKERRQ(ierr);
4087 
4088   ierr = PetscMalloc2(m,&c->imax,m,&c->ilen);CHKERRQ(ierr);
4089   ierr = PetscLogObjectMemory((PetscObject)C, 2*m*sizeof(PetscInt));CHKERRQ(ierr);
4090   for (i=0; i<m; i++) {
4091     c->imax[i] = a->imax[i];
4092     c->ilen[i] = a->ilen[i];
4093   }
4094 
4095   /* allocate the matrix space */
4096   if (mallocmatspace) {
4097     ierr = PetscMalloc3(a->i[m],&c->a,a->i[m],&c->j,m+1,&c->i);CHKERRQ(ierr);
4098     ierr = PetscLogObjectMemory((PetscObject)C, a->i[m]*(sizeof(PetscScalar)+sizeof(PetscInt))+(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4099 
4100     c->singlemalloc = PETSC_TRUE;
4101 
4102     ierr = PetscMemcpy(c->i,a->i,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4103     if (m > 0) {
4104       ierr = PetscMemcpy(c->j,a->j,(a->i[m])*sizeof(PetscInt));CHKERRQ(ierr);
4105       if (cpvalues == MAT_COPY_VALUES) {
4106         ierr = PetscMemcpy(c->a,a->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4107       } else {
4108         ierr = PetscMemzero(c->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4109       }
4110     }
4111   }
4112 
4113   c->ignorezeroentries = a->ignorezeroentries;
4114   c->roworiented       = a->roworiented;
4115   c->nonew             = a->nonew;
4116   if (a->diag) {
4117     ierr = PetscMalloc1(m+1,&c->diag);CHKERRQ(ierr);
4118     ierr = PetscLogObjectMemory((PetscObject)C,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4119     for (i=0; i<m; i++) {
4120       c->diag[i] = a->diag[i];
4121     }
4122   } else c->diag = 0;
4123 
4124   c->solve_work         = 0;
4125   c->saved_values       = 0;
4126   c->idiag              = 0;
4127   c->ssor_work          = 0;
4128   c->keepnonzeropattern = a->keepnonzeropattern;
4129   c->free_a             = PETSC_TRUE;
4130   c->free_ij            = PETSC_TRUE;
4131 
4132   c->rmax         = a->rmax;
4133   c->nz           = a->nz;
4134   c->maxnz        = a->nz;       /* Since we allocate exactly the right amount */
4135   C->preallocated = PETSC_TRUE;
4136 
4137   c->compressedrow.use   = a->compressedrow.use;
4138   c->compressedrow.nrows = a->compressedrow.nrows;
4139   if (a->compressedrow.use) {
4140     i    = a->compressedrow.nrows;
4141     ierr = PetscMalloc2(i+1,&c->compressedrow.i,i,&c->compressedrow.rindex);CHKERRQ(ierr);
4142     ierr = PetscMemcpy(c->compressedrow.i,a->compressedrow.i,(i+1)*sizeof(PetscInt));CHKERRQ(ierr);
4143     ierr = PetscMemcpy(c->compressedrow.rindex,a->compressedrow.rindex,i*sizeof(PetscInt));CHKERRQ(ierr);
4144   } else {
4145     c->compressedrow.use    = PETSC_FALSE;
4146     c->compressedrow.i      = NULL;
4147     c->compressedrow.rindex = NULL;
4148   }
4149   c->nonzerorowcnt = a->nonzerorowcnt;
4150   C->nonzerostate  = A->nonzerostate;
4151 
4152   ierr = MatDuplicate_SeqAIJ_Inode(A,cpvalues,&C);CHKERRQ(ierr);
4153   ierr = PetscFunctionListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
4154   PetscFunctionReturn(0);
4155 }
4156 
4157 PetscErrorCode MatDuplicate_SeqAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
4158 {
4159   PetscErrorCode ierr;
4160 
4161   PetscFunctionBegin;
4162   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
4163   ierr = MatSetSizes(*B,A->rmap->n,A->cmap->n,A->rmap->n,A->cmap->n);CHKERRQ(ierr);
4164   if (!(A->rmap->n % A->rmap->bs) && !(A->cmap->n % A->cmap->bs)) {
4165     ierr = MatSetBlockSizesFromMats(*B,A,A);CHKERRQ(ierr);
4166   }
4167   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
4168   ierr = MatDuplicateNoCreate_SeqAIJ(*B,A,cpvalues,PETSC_TRUE);CHKERRQ(ierr);
4169   PetscFunctionReturn(0);
4170 }
4171 
4172 PetscErrorCode MatLoad_SeqAIJ(Mat newMat, PetscViewer viewer)
4173 {
4174   Mat_SeqAIJ     *a;
4175   PetscErrorCode ierr;
4176   PetscInt       i,sum,nz,header[4],*rowlengths = 0,M,N,rows,cols;
4177   int            fd;
4178   PetscMPIInt    size;
4179   MPI_Comm       comm;
4180   PetscInt       bs = newMat->rmap->bs;
4181 
4182   PetscFunctionBegin;
4183   /* force binary viewer to load .info file if it has not yet done so */
4184   ierr = PetscViewerSetUp(viewer);CHKERRQ(ierr);
4185   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
4186   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4187   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"view must have one processor");
4188 
4189   ierr = PetscOptionsBegin(comm,NULL,"Options for loading SEQAIJ matrix","Mat");CHKERRQ(ierr);
4190   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
4191   ierr = PetscOptionsEnd();CHKERRQ(ierr);
4192   if (bs < 0) bs = 1;
4193   ierr = MatSetBlockSize(newMat,bs);CHKERRQ(ierr);
4194 
4195   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
4196   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
4197   if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object in file");
4198   M = header[1]; N = header[2]; nz = header[3];
4199 
4200   if (nz < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk,cannot load as SeqAIJ");
4201 
4202   /* read in row lengths */
4203   ierr = PetscMalloc1(M,&rowlengths);CHKERRQ(ierr);
4204   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
4205 
4206   /* check if sum of rowlengths is same as nz */
4207   for (i=0,sum=0; i< M; i++) sum +=rowlengths[i];
4208   if (sum != nz) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_FILE_READ,"Inconsistant matrix data in file. no-nonzeros = %dD, sum-row-lengths = %D\n",nz,sum);
4209 
4210   /* set global size if not set already*/
4211   if (newMat->rmap->n < 0 && newMat->rmap->N < 0 && newMat->cmap->n < 0 && newMat->cmap->N < 0) {
4212     ierr = MatSetSizes(newMat,PETSC_DECIDE,PETSC_DECIDE,M,N);CHKERRQ(ierr);
4213   } else {
4214     /* if sizes and type are already set, check if the matrix  global sizes are correct */
4215     ierr = MatGetSize(newMat,&rows,&cols);CHKERRQ(ierr);
4216     if (rows < 0 && cols < 0) { /* user might provide local size instead of global size */
4217       ierr = MatGetLocalSize(newMat,&rows,&cols);CHKERRQ(ierr);
4218     }
4219     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);
4220   }
4221   ierr = MatSeqAIJSetPreallocation_SeqAIJ(newMat,0,rowlengths);CHKERRQ(ierr);
4222   a    = (Mat_SeqAIJ*)newMat->data;
4223 
4224   ierr = PetscBinaryRead(fd,a->j,nz,PETSC_INT);CHKERRQ(ierr);
4225 
4226   /* read in nonzero values */
4227   ierr = PetscBinaryRead(fd,a->a,nz,PETSC_SCALAR);CHKERRQ(ierr);
4228 
4229   /* set matrix "i" values */
4230   a->i[0] = 0;
4231   for (i=1; i<= M; i++) {
4232     a->i[i]      = a->i[i-1] + rowlengths[i-1];
4233     a->ilen[i-1] = rowlengths[i-1];
4234   }
4235   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
4236 
4237   ierr = MatAssemblyBegin(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4238   ierr = MatAssemblyEnd(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4239   PetscFunctionReturn(0);
4240 }
4241 
4242 PetscErrorCode MatEqual_SeqAIJ(Mat A,Mat B,PetscBool * flg)
4243 {
4244   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*b = (Mat_SeqAIJ*)B->data;
4245   PetscErrorCode ierr;
4246 #if defined(PETSC_USE_COMPLEX)
4247   PetscInt k;
4248 #endif
4249 
4250   PetscFunctionBegin;
4251   /* If the  matrix dimensions are not equal,or no of nonzeros */
4252   if ((A->rmap->n != B->rmap->n) || (A->cmap->n != B->cmap->n) ||(a->nz != b->nz)) {
4253     *flg = PETSC_FALSE;
4254     PetscFunctionReturn(0);
4255   }
4256 
4257   /* if the a->i are the same */
4258   ierr = PetscMemcmp(a->i,b->i,(A->rmap->n+1)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4259   if (!*flg) PetscFunctionReturn(0);
4260 
4261   /* if a->j are the same */
4262   ierr = PetscMemcmp(a->j,b->j,(a->nz)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4263   if (!*flg) PetscFunctionReturn(0);
4264 
4265   /* if a->a are the same */
4266 #if defined(PETSC_USE_COMPLEX)
4267   for (k=0; k<a->nz; k++) {
4268     if (PetscRealPart(a->a[k]) != PetscRealPart(b->a[k]) || PetscImaginaryPart(a->a[k]) != PetscImaginaryPart(b->a[k])) {
4269       *flg = PETSC_FALSE;
4270       PetscFunctionReturn(0);
4271     }
4272   }
4273 #else
4274   ierr = PetscMemcmp(a->a,b->a,(a->nz)*sizeof(PetscScalar),flg);CHKERRQ(ierr);
4275 #endif
4276   PetscFunctionReturn(0);
4277 }
4278 
4279 /*@
4280      MatCreateSeqAIJWithArrays - Creates an sequential AIJ matrix using matrix elements (in CSR format)
4281               provided by the user.
4282 
4283       Collective on MPI_Comm
4284 
4285    Input Parameters:
4286 +   comm - must be an MPI communicator of size 1
4287 .   m - number of rows
4288 .   n - number of columns
4289 .   i - row indices
4290 .   j - column indices
4291 -   a - matrix values
4292 
4293    Output Parameter:
4294 .   mat - the matrix
4295 
4296    Level: intermediate
4297 
4298    Notes:
4299        The i, j, and a arrays are not copied by this routine, the user must free these arrays
4300     once the matrix is destroyed and not before
4301 
4302        You cannot set new nonzero locations into this matrix, that will generate an error.
4303 
4304        The i and j indices are 0 based
4305 
4306        The format which is used for the sparse matrix input, is equivalent to a
4307     row-major ordering.. i.e for the following matrix, the input data expected is
4308     as shown
4309 
4310 $        1 0 0
4311 $        2 0 3
4312 $        4 5 6
4313 $
4314 $        i =  {0,1,3,6}  [size = nrow+1  = 3+1]
4315 $        j =  {0,0,2,0,1,2}  [size = 6]; values must be sorted for each row
4316 $        v =  {1,2,3,4,5,6}  [size = 6]
4317 
4318 
4319 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateMPIAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4320 
4321 @*/
4322 PetscErrorCode  MatCreateSeqAIJWithArrays(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt i[],PetscInt j[],PetscScalar a[],Mat *mat)
4323 {
4324   PetscErrorCode ierr;
4325   PetscInt       ii;
4326   Mat_SeqAIJ     *aij;
4327 #if defined(PETSC_USE_DEBUG)
4328   PetscInt jj;
4329 #endif
4330 
4331   PetscFunctionBegin;
4332   if (m > 0 && i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
4333   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4334   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4335   /* ierr = MatSetBlockSizes(*mat,,);CHKERRQ(ierr); */
4336   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4337   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
4338   aij  = (Mat_SeqAIJ*)(*mat)->data;
4339   ierr = PetscMalloc2(m,&aij->imax,m,&aij->ilen);CHKERRQ(ierr);
4340 
4341   aij->i            = i;
4342   aij->j            = j;
4343   aij->a            = a;
4344   aij->singlemalloc = PETSC_FALSE;
4345   aij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
4346   aij->free_a       = PETSC_FALSE;
4347   aij->free_ij      = PETSC_FALSE;
4348 
4349   for (ii=0; ii<m; ii++) {
4350     aij->ilen[ii] = aij->imax[ii] = i[ii+1] - i[ii];
4351 #if defined(PETSC_USE_DEBUG)
4352     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]);
4353     for (jj=i[ii]+1; jj<i[ii+1]; jj++) {
4354       if (j[jj] < j[jj-1]) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column entry number %D (actual colum %D) in row %D is not sorted",jj-i[ii],j[jj],ii);
4355       if (j[jj] == j[jj]-1) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column entry number %D (actual colum %D) in row %D is identical to previous entry",jj-i[ii],j[jj],ii);
4356     }
4357 #endif
4358   }
4359 #if defined(PETSC_USE_DEBUG)
4360   for (ii=0; ii<aij->i[m]; ii++) {
4361     if (j[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %D index = %D",ii,j[ii]);
4362     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]);
4363   }
4364 #endif
4365 
4366   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4367   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4368   PetscFunctionReturn(0);
4369 }
4370 /*@C
4371      MatCreateSeqAIJFromTriple - Creates an sequential AIJ matrix using matrix elements (in COO format)
4372               provided by the user.
4373 
4374       Collective on MPI_Comm
4375 
4376    Input Parameters:
4377 +   comm - must be an MPI communicator of size 1
4378 .   m   - number of rows
4379 .   n   - number of columns
4380 .   i   - row indices
4381 .   j   - column indices
4382 .   a   - matrix values
4383 .   nz  - number of nonzeros
4384 -   idx - 0 or 1 based
4385 
4386    Output Parameter:
4387 .   mat - the matrix
4388 
4389    Level: intermediate
4390 
4391    Notes:
4392        The i and j indices are 0 based
4393 
4394        The format which is used for the sparse matrix input, is equivalent to a
4395     row-major ordering.. i.e for the following matrix, the input data expected is
4396     as shown:
4397 
4398         1 0 0
4399         2 0 3
4400         4 5 6
4401 
4402         i =  {0,1,1,2,2,2}
4403         j =  {0,0,2,0,1,2}
4404         v =  {1,2,3,4,5,6}
4405 
4406 
4407 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateSeqAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4408 
4409 @*/
4410 PetscErrorCode  MatCreateSeqAIJFromTriple(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt i[],PetscInt j[],PetscScalar a[],Mat *mat,PetscInt nz,PetscBool idx)
4411 {
4412   PetscErrorCode ierr;
4413   PetscInt       ii, *nnz, one = 1,row,col;
4414 
4415 
4416   PetscFunctionBegin;
4417   ierr = PetscCalloc1(m,&nnz);CHKERRQ(ierr);
4418   for (ii = 0; ii < nz; ii++) {
4419     nnz[i[ii] - !!idx] += 1;
4420   }
4421   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4422   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4423   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4424   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,0,nnz);CHKERRQ(ierr);
4425   for (ii = 0; ii < nz; ii++) {
4426     if (idx) {
4427       row = i[ii] - 1;
4428       col = j[ii] - 1;
4429     } else {
4430       row = i[ii];
4431       col = j[ii];
4432     }
4433     ierr = MatSetValues(*mat,one,&row,one,&col,&a[ii],ADD_VALUES);CHKERRQ(ierr);
4434   }
4435   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4436   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4437   ierr = PetscFree(nnz);CHKERRQ(ierr);
4438   PetscFunctionReturn(0);
4439 }
4440 
4441 PetscErrorCode MatSeqAIJInvalidateDiagonal(Mat A)
4442 {
4443   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data;
4444   PetscErrorCode ierr;
4445 
4446   PetscFunctionBegin;
4447   a->idiagvalid  = PETSC_FALSE;
4448   a->ibdiagvalid = PETSC_FALSE;
4449 
4450   ierr = MatSeqAIJInvalidateDiagonal_Inode(A);CHKERRQ(ierr);
4451   PetscFunctionReturn(0);
4452 }
4453 
4454 PetscErrorCode MatCreateMPIMatConcatenateSeqMat_SeqAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
4455 {
4456   PetscErrorCode ierr;
4457   PetscMPIInt    size;
4458 
4459   PetscFunctionBegin;
4460   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4461   if (size == 1) {
4462     if (scall == MAT_INITIAL_MATRIX) {
4463       ierr = MatDuplicate(inmat,MAT_COPY_VALUES,outmat);CHKERRQ(ierr);
4464     } else {
4465       ierr = MatCopy(inmat,*outmat,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
4466     }
4467   } else {
4468     ierr = MatCreateMPIMatConcatenateSeqMat_MPIAIJ(comm,inmat,n,scall,outmat);CHKERRQ(ierr);
4469   }
4470   PetscFunctionReturn(0);
4471 }
4472 
4473 /*
4474  Permute A into C's *local* index space using rowemb,colemb.
4475  The embedding are supposed to be injections and the above implies that the range of rowemb is a subset
4476  of [0,m), colemb is in [0,n).
4477  If pattern == DIFFERENT_NONZERO_PATTERN, C is preallocated according to A.
4478  */
4479 PetscErrorCode MatSetSeqMat_SeqAIJ(Mat C,IS rowemb,IS colemb,MatStructure pattern,Mat B)
4480 {
4481   /* If making this function public, change the error returned in this function away from _PLIB. */
4482   PetscErrorCode ierr;
4483   Mat_SeqAIJ     *Baij;
4484   PetscBool      seqaij;
4485   PetscInt       m,n,*nz,i,j,count;
4486   PetscScalar    v;
4487   const PetscInt *rowindices,*colindices;
4488 
4489   PetscFunctionBegin;
4490   if (!B) PetscFunctionReturn(0);
4491   /* Check to make sure the target matrix (and embeddings) are compatible with C and each other. */
4492   ierr = PetscObjectBaseTypeCompare((PetscObject)B,MATSEQAIJ,&seqaij);CHKERRQ(ierr);
4493   if (!seqaij) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is of wrong type");
4494   if (rowemb) {
4495     ierr = ISGetLocalSize(rowemb,&m);CHKERRQ(ierr);
4496     if (m != B->rmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Row IS of size %D is incompatible with matrix row size %D",m,B->rmap->n);
4497   } else {
4498     if (C->rmap->n != B->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is row-incompatible with the target matrix");
4499   }
4500   if (colemb) {
4501     ierr = ISGetLocalSize(colemb,&n);CHKERRQ(ierr);
4502     if (n != B->cmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Diag col IS of size %D is incompatible with input matrix col size %D",n,B->cmap->n);
4503   } else {
4504     if (C->cmap->n != B->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is col-incompatible with the target matrix");
4505   }
4506 
4507   Baij = (Mat_SeqAIJ*)(B->data);
4508   if (pattern == DIFFERENT_NONZERO_PATTERN) {
4509     ierr = PetscMalloc1(B->rmap->n,&nz);CHKERRQ(ierr);
4510     for (i=0; i<B->rmap->n; i++) {
4511       nz[i] = Baij->i[i+1] - Baij->i[i];
4512     }
4513     ierr = MatSeqAIJSetPreallocation(C,0,nz);CHKERRQ(ierr);
4514     ierr = PetscFree(nz);CHKERRQ(ierr);
4515   }
4516   if (pattern == SUBSET_NONZERO_PATTERN) {
4517     ierr = MatZeroEntries(C);CHKERRQ(ierr);
4518   }
4519   count = 0;
4520   rowindices = NULL;
4521   colindices = NULL;
4522   if (rowemb) {
4523     ierr = ISGetIndices(rowemb,&rowindices);CHKERRQ(ierr);
4524   }
4525   if (colemb) {
4526     ierr = ISGetIndices(colemb,&colindices);CHKERRQ(ierr);
4527   }
4528   for (i=0; i<B->rmap->n; i++) {
4529     PetscInt row;
4530     row = i;
4531     if (rowindices) row = rowindices[i];
4532     for (j=Baij->i[i]; j<Baij->i[i+1]; j++) {
4533       PetscInt col;
4534       col  = Baij->j[count];
4535       if (colindices) col = colindices[col];
4536       v    = Baij->a[count];
4537       ierr = MatSetValues(C,1,&row,1,&col,&v,INSERT_VALUES);CHKERRQ(ierr);
4538       ++count;
4539     }
4540   }
4541   /* FIXME: set C's nonzerostate correctly. */
4542   /* Assembly for C is necessary. */
4543   C->preallocated = PETSC_TRUE;
4544   C->assembled     = PETSC_TRUE;
4545   C->was_assembled = PETSC_FALSE;
4546   PetscFunctionReturn(0);
4547 }
4548 
4549 PetscFunctionList MatSeqAIJList = NULL;
4550 
4551 /*@C
4552    MatSeqAIJSetType - Converts a MATSEQAIJ matrix to a subtype
4553 
4554    Collective on Mat
4555 
4556    Input Parameters:
4557 +  mat      - the matrix object
4558 -  matype   - matrix type
4559 
4560    Options Database Key:
4561 .  -mat_seqai_type  <method> - for example seqaijcrl
4562 
4563 
4564   Level: intermediate
4565 
4566 .keywords: Mat, MatType, set, method
4567 
4568 .seealso: PCSetType(), VecSetType(), MatCreate(), MatType, Mat
4569 @*/
4570 PetscErrorCode  MatSeqAIJSetType(Mat mat, MatType matype)
4571 {
4572   PetscErrorCode ierr,(*r)(Mat,const MatType,MatReuse,Mat*);
4573   PetscBool      sametype;
4574 
4575   PetscFunctionBegin;
4576   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
4577   ierr = PetscObjectTypeCompare((PetscObject)mat,matype,&sametype);CHKERRQ(ierr);
4578   if (sametype) PetscFunctionReturn(0);
4579 
4580   ierr =  PetscFunctionListFind(MatSeqAIJList,matype,&r);CHKERRQ(ierr);
4581   if (!r) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_UNKNOWN_TYPE,"Unknown Mat type given: %s",matype);
4582   ierr = (*r)(mat,matype,MAT_INPLACE_MATRIX,&mat);CHKERRQ(ierr);
4583   PetscFunctionReturn(0);
4584 }
4585 
4586 
4587 /*@C
4588   MatSeqAIJRegister -  - Adds a new sub-matrix type for sequential AIJ matrices
4589 
4590    Not Collective
4591 
4592    Input Parameters:
4593 +  name - name of a new user-defined matrix type, for example MATSEQAIJCRL
4594 -  function - routine to convert to subtype
4595 
4596    Notes:
4597    MatSeqAIJRegister() may be called multiple times to add several user-defined solvers.
4598 
4599 
4600    Then, your matrix can be chosen with the procedural interface at runtime via the option
4601 $     -mat_seqaij_type my_mat
4602 
4603    Level: advanced
4604 
4605 .keywords: Mat, register
4606 
4607 .seealso: MatSeqAIJRegisterAll()
4608 
4609 
4610   Level: advanced
4611 @*/
4612 PetscErrorCode  MatSeqAIJRegister(const char sname[],PetscErrorCode (*function)(Mat,MatType,MatReuse,Mat *))
4613 {
4614   PetscErrorCode ierr;
4615 
4616   PetscFunctionBegin;
4617   ierr = PetscFunctionListAdd(&MatSeqAIJList,sname,function);CHKERRQ(ierr);
4618   PetscFunctionReturn(0);
4619 }
4620 
4621 PetscBool MatSeqAIJRegisterAllCalled = PETSC_FALSE;
4622 
4623 /*@C
4624   MatSeqAIJRegisterAll - Registers all of the matrix subtypes of SeqAIJ
4625 
4626   Not Collective
4627 
4628   Level: advanced
4629 
4630   Developers Note: CUSP and CUSPARSE do not yet support the  MatConvert_SeqAIJ..() paradigm and thus cannot be registered here
4631 
4632 .keywords: KSP, register, all
4633 
4634 .seealso:  MatRegisterAll(), MatSeqAIJRegister()
4635 @*/
4636 PetscErrorCode  MatSeqAIJRegisterAll(void)
4637 {
4638   PetscErrorCode ierr;
4639 
4640   PetscFunctionBegin;
4641   if (MatSeqAIJRegisterAllCalled) PetscFunctionReturn(0);
4642   MatSeqAIJRegisterAllCalled = PETSC_TRUE;
4643 
4644   ierr = MatSeqAIJRegister(MATSEQAIJCRL,      MatConvert_SeqAIJ_SeqAIJCRL);CHKERRQ(ierr);
4645   ierr = MatSeqAIJRegister(MATSEQAIJPERM,     MatConvert_SeqAIJ_SeqAIJPERM);CHKERRQ(ierr);
4646 #if defined(PETSC_HAVE_MKL)
4647   ierr = MatSeqAIJRegister(MATSEQAIJMKL,      MatConvert_SeqAIJ_SeqAIJMKL);CHKERRQ(ierr);
4648 #endif
4649 #if defined(PETSC_HAVE_VIENNACL) && defined(PETSC_HAVE_VIENNACL_NO_CUDA)
4650   ierr = MatSeqAIJRegister(MATMPIAIJVIENNACL, MatConvert_SeqAIJ_SeqAIJViennaCL);CHKERRQ(ierr);
4651 #endif
4652   PetscFunctionReturn(0);
4653 }
4654 
4655 /*
4656     Special version for direct calls from Fortran
4657 */
4658 #include <petsc/private/fortranimpl.h>
4659 #if defined(PETSC_HAVE_FORTRAN_CAPS)
4660 #define matsetvaluesseqaij_ MATSETVALUESSEQAIJ
4661 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
4662 #define matsetvaluesseqaij_ matsetvaluesseqaij
4663 #endif
4664 
4665 /* Change these macros so can be used in void function */
4666 #undef CHKERRQ
4667 #define CHKERRQ(ierr) CHKERRABORT(PetscObjectComm((PetscObject)A),ierr)
4668 #undef SETERRQ2
4669 #define SETERRQ2(comm,ierr,b,c,d) CHKERRABORT(comm,ierr)
4670 #undef SETERRQ3
4671 #define SETERRQ3(comm,ierr,b,c,d,e) CHKERRABORT(comm,ierr)
4672 
4673 PETSC_EXTERN void PETSC_STDCALL matsetvaluesseqaij_(Mat *AA,PetscInt *mm,const PetscInt im[],PetscInt *nn,const PetscInt in[],const PetscScalar v[],InsertMode *isis, PetscErrorCode *_ierr)
4674 {
4675   Mat            A  = *AA;
4676   PetscInt       m  = *mm, n = *nn;
4677   InsertMode     is = *isis;
4678   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
4679   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
4680   PetscInt       *imax,*ai,*ailen;
4681   PetscErrorCode ierr;
4682   PetscInt       *aj,nonew = a->nonew,lastcol = -1;
4683   MatScalar      *ap,value,*aa;
4684   PetscBool      ignorezeroentries = a->ignorezeroentries;
4685   PetscBool      roworiented       = a->roworiented;
4686 
4687   PetscFunctionBegin;
4688   MatCheckPreallocated(A,1);
4689   imax  = a->imax;
4690   ai    = a->i;
4691   ailen = a->ilen;
4692   aj    = a->j;
4693   aa    = a->a;
4694 
4695   for (k=0; k<m; k++) { /* loop over added rows */
4696     row = im[k];
4697     if (row < 0) continue;
4698 #if defined(PETSC_USE_DEBUG)
4699     if (row >= A->rmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Row too large");
4700 #endif
4701     rp   = aj + ai[row]; ap = aa + ai[row];
4702     rmax = imax[row]; nrow = ailen[row];
4703     low  = 0;
4704     high = nrow;
4705     for (l=0; l<n; l++) { /* loop over added columns */
4706       if (in[l] < 0) continue;
4707 #if defined(PETSC_USE_DEBUG)
4708       if (in[l] >= A->cmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Column too large");
4709 #endif
4710       col = in[l];
4711       if (roworiented) value = v[l + k*n];
4712       else value = v[k + l*m];
4713 
4714       if (value == 0.0 && ignorezeroentries && (is == ADD_VALUES)) continue;
4715 
4716       if (col <= lastcol) low = 0;
4717       else high = nrow;
4718       lastcol = col;
4719       while (high-low > 5) {
4720         t = (low+high)/2;
4721         if (rp[t] > col) high = t;
4722         else             low  = t;
4723       }
4724       for (i=low; i<high; i++) {
4725         if (rp[i] > col) break;
4726         if (rp[i] == col) {
4727           if (is == ADD_VALUES) ap[i] += value;
4728           else                  ap[i] = value;
4729           goto noinsert;
4730         }
4731       }
4732       if (value == 0.0 && ignorezeroentries) goto noinsert;
4733       if (nonew == 1) goto noinsert;
4734       if (nonew == -1) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero in the matrix");
4735       MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
4736       N = nrow++ - 1; a->nz++; high++;
4737       /* shift up all the later entries in this row */
4738       for (ii=N; ii>=i; ii--) {
4739         rp[ii+1] = rp[ii];
4740         ap[ii+1] = ap[ii];
4741       }
4742       rp[i] = col;
4743       ap[i] = value;
4744       A->nonzerostate++;
4745 noinsert:;
4746       low = i + 1;
4747     }
4748     ailen[row] = nrow;
4749   }
4750   PetscFunctionReturnVoid();
4751 }
4752 
4753