xref: /petsc/src/mat/impls/aij/seq/aij.c (revision 0090e2cf8650914f034c1a2436476dfd4612a0b3)
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 = PetscFree3(a->idiag,a->mdiag,a->ssor_work);CHKERRQ(ierr);
1098   ierr = PetscFree(a->solve_work);CHKERRQ(ierr);
1099   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
1100   ierr = PetscFree(a->saved_values);CHKERRQ(ierr);
1101   ierr = ISColoringDestroy(&a->coloring);CHKERRQ(ierr);
1102   ierr = PetscFree2(a->compressedrow.i,a->compressedrow.rindex);CHKERRQ(ierr);
1103   ierr = PetscFree(a->matmult_abdense);CHKERRQ(ierr);
1104 
1105   ierr = MatDestroy_SeqAIJ_Inode(A);CHKERRQ(ierr);
1106   ierr = PetscFree(A->data);CHKERRQ(ierr);
1107 
1108   ierr = PetscObjectChangeTypeName((PetscObject)A,0);CHKERRQ(ierr);
1109   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetColumnIndices_C",NULL);CHKERRQ(ierr);
1110   ierr = PetscObjectComposeFunction((PetscObject)A,"MatStoreValues_C",NULL);CHKERRQ(ierr);
1111   ierr = PetscObjectComposeFunction((PetscObject)A,"MatRetrieveValues_C",NULL);CHKERRQ(ierr);
1112   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqsbaij_C",NULL);CHKERRQ(ierr);
1113   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqbaij_C",NULL);CHKERRQ(ierr);
1114   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqaijperm_C",NULL);CHKERRQ(ierr);
1115 #if defined(PETSC_HAVE_ELEMENTAL)
1116   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_elemental_C",NULL);CHKERRQ(ierr);
1117 #endif
1118 #if defined(PETSC_HAVE_HYPRE)
1119   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_hypre_C",NULL);CHKERRQ(ierr);
1120   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMatMatMult_transpose_seqaij_seqaij_C",NULL);CHKERRQ(ierr);
1121 #endif
1122   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqdense_C",NULL);CHKERRQ(ierr);
1123   ierr = PetscObjectComposeFunction((PetscObject)A,"MatIsTranspose_C",NULL);CHKERRQ(ierr);
1124   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetPreallocation_C",NULL);CHKERRQ(ierr);
1125   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetPreallocationCSR_C",NULL);CHKERRQ(ierr);
1126   ierr = PetscObjectComposeFunction((PetscObject)A,"MatReorderForNonzeroDiagonal_C",NULL);CHKERRQ(ierr);
1127   PetscFunctionReturn(0);
1128 }
1129 
1130 PetscErrorCode MatSetOption_SeqAIJ(Mat A,MatOption op,PetscBool flg)
1131 {
1132   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1133   PetscErrorCode ierr;
1134 
1135   PetscFunctionBegin;
1136   switch (op) {
1137   case MAT_ROW_ORIENTED:
1138     a->roworiented = flg;
1139     break;
1140   case MAT_KEEP_NONZERO_PATTERN:
1141     a->keepnonzeropattern = flg;
1142     break;
1143   case MAT_NEW_NONZERO_LOCATIONS:
1144     a->nonew = (flg ? 0 : 1);
1145     break;
1146   case MAT_NEW_NONZERO_LOCATION_ERR:
1147     a->nonew = (flg ? -1 : 0);
1148     break;
1149   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1150     a->nonew = (flg ? -2 : 0);
1151     break;
1152   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1153     a->nounused = (flg ? -1 : 0);
1154     break;
1155   case MAT_IGNORE_ZERO_ENTRIES:
1156     a->ignorezeroentries = flg;
1157     break;
1158   case MAT_SPD:
1159   case MAT_SYMMETRIC:
1160   case MAT_STRUCTURALLY_SYMMETRIC:
1161   case MAT_HERMITIAN:
1162   case MAT_SYMMETRY_ETERNAL:
1163   case MAT_STRUCTURE_ONLY:
1164     /* These options are handled directly by MatSetOption() */
1165     break;
1166   case MAT_NEW_DIAGONALS:
1167   case MAT_IGNORE_OFF_PROC_ENTRIES:
1168   case MAT_USE_HASH_TABLE:
1169     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1170     break;
1171   case MAT_USE_INODES:
1172     /* Not an error because MatSetOption_SeqAIJ_Inode handles this one */
1173     break;
1174   case MAT_SUBMAT_SINGLEIS:
1175     A->submat_singleis = flg;
1176     break;
1177   default:
1178     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
1179   }
1180   ierr = MatSetOption_SeqAIJ_Inode(A,op,flg);CHKERRQ(ierr);
1181   PetscFunctionReturn(0);
1182 }
1183 
1184 PetscErrorCode MatGetDiagonal_SeqAIJ(Mat A,Vec v)
1185 {
1186   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1187   PetscErrorCode ierr;
1188   PetscInt       i,j,n,*ai=a->i,*aj=a->j,nz;
1189   PetscScalar    *aa=a->a,*x,zero=0.0;
1190 
1191   PetscFunctionBegin;
1192   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
1193   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
1194 
1195   if (A->factortype == MAT_FACTOR_ILU || A->factortype == MAT_FACTOR_LU) {
1196     PetscInt *diag=a->diag;
1197     ierr = VecGetArray(v,&x);CHKERRQ(ierr);
1198     for (i=0; i<n; i++) x[i] = 1.0/aa[diag[i]];
1199     ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
1200     PetscFunctionReturn(0);
1201   }
1202 
1203   ierr = VecSet(v,zero);CHKERRQ(ierr);
1204   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
1205   for (i=0; i<n; i++) {
1206     nz = ai[i+1] - ai[i];
1207     if (!nz) x[i] = 0.0;
1208     for (j=ai[i]; j<ai[i+1]; j++) {
1209       if (aj[j] == i) {
1210         x[i] = aa[j];
1211         break;
1212       }
1213     }
1214   }
1215   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
1216   PetscFunctionReturn(0);
1217 }
1218 
1219 #include <../src/mat/impls/aij/seq/ftn-kernels/fmult.h>
1220 PetscErrorCode MatMultTransposeAdd_SeqAIJ(Mat A,Vec xx,Vec zz,Vec yy)
1221 {
1222   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1223   PetscScalar       *y;
1224   const PetscScalar *x;
1225   PetscErrorCode    ierr;
1226   PetscInt          m = A->rmap->n;
1227 #if !defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
1228   const MatScalar   *v;
1229   PetscScalar       alpha;
1230   PetscInt          n,i,j;
1231   const PetscInt    *idx,*ii,*ridx=NULL;
1232   Mat_CompressedRow cprow    = a->compressedrow;
1233   PetscBool         usecprow = cprow.use;
1234 #endif
1235 
1236   PetscFunctionBegin;
1237   if (zz != yy) {ierr = VecCopy(zz,yy);CHKERRQ(ierr);}
1238   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1239   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1240 
1241 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
1242   fortranmulttransposeaddaij_(&m,x,a->i,a->j,a->a,y);
1243 #else
1244   if (usecprow) {
1245     m    = cprow.nrows;
1246     ii   = cprow.i;
1247     ridx = cprow.rindex;
1248   } else {
1249     ii = a->i;
1250   }
1251   for (i=0; i<m; i++) {
1252     idx = a->j + ii[i];
1253     v   = a->a + ii[i];
1254     n   = ii[i+1] - ii[i];
1255     if (usecprow) {
1256       alpha = x[ridx[i]];
1257     } else {
1258       alpha = x[i];
1259     }
1260     for (j=0; j<n; j++) y[idx[j]] += alpha*v[j];
1261   }
1262 #endif
1263   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1264   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1265   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1266   PetscFunctionReturn(0);
1267 }
1268 
1269 PetscErrorCode MatMultTranspose_SeqAIJ(Mat A,Vec xx,Vec yy)
1270 {
1271   PetscErrorCode ierr;
1272 
1273   PetscFunctionBegin;
1274   ierr = VecSet(yy,0.0);CHKERRQ(ierr);
1275   ierr = MatMultTransposeAdd_SeqAIJ(A,xx,yy,yy);CHKERRQ(ierr);
1276   PetscFunctionReturn(0);
1277 }
1278 
1279 #include <../src/mat/impls/aij/seq/ftn-kernels/fmult.h>
1280 
1281 PetscErrorCode MatMult_SeqAIJ(Mat A,Vec xx,Vec yy)
1282 {
1283   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1284   PetscScalar       *y;
1285   const PetscScalar *x;
1286   const MatScalar   *aa;
1287   PetscErrorCode    ierr;
1288   PetscInt          m=A->rmap->n;
1289   const PetscInt    *aj,*ii,*ridx=NULL;
1290   PetscInt          n,i;
1291   PetscScalar       sum;
1292   PetscBool         usecprow=a->compressedrow.use;
1293 
1294 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
1295 #pragma disjoint(*x,*y,*aa)
1296 #endif
1297 
1298   PetscFunctionBegin;
1299   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1300   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1301   ii   = a->i;
1302   if (usecprow) { /* use compressed row format */
1303     ierr = PetscMemzero(y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1304     m    = a->compressedrow.nrows;
1305     ii   = a->compressedrow.i;
1306     ridx = a->compressedrow.rindex;
1307     for (i=0; i<m; i++) {
1308       n           = ii[i+1] - ii[i];
1309       aj          = a->j + ii[i];
1310       aa          = a->a + ii[i];
1311       sum         = 0.0;
1312       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1313       /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */
1314       y[*ridx++] = sum;
1315     }
1316   } else { /* do not use compressed row format */
1317 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTAIJ)
1318     aj   = a->j;
1319     aa   = a->a;
1320     fortranmultaij_(&m,x,ii,aj,aa,y);
1321 #else
1322     for (i=0; i<m; i++) {
1323       n           = ii[i+1] - ii[i];
1324       aj          = a->j + ii[i];
1325       aa          = a->a + ii[i];
1326       sum         = 0.0;
1327       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1328       y[i] = sum;
1329     }
1330 #endif
1331   }
1332   ierr = PetscLogFlops(2.0*a->nz - a->nonzerorowcnt);CHKERRQ(ierr);
1333   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1334   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1335   PetscFunctionReturn(0);
1336 }
1337 
1338 PetscErrorCode MatMultMax_SeqAIJ(Mat A,Vec xx,Vec yy)
1339 {
1340   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1341   PetscScalar       *y;
1342   const PetscScalar *x;
1343   const MatScalar   *aa;
1344   PetscErrorCode    ierr;
1345   PetscInt          m=A->rmap->n;
1346   const PetscInt    *aj,*ii,*ridx=NULL;
1347   PetscInt          n,i,nonzerorow=0;
1348   PetscScalar       sum;
1349   PetscBool         usecprow=a->compressedrow.use;
1350 
1351 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
1352 #pragma disjoint(*x,*y,*aa)
1353 #endif
1354 
1355   PetscFunctionBegin;
1356   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1357   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1358   if (usecprow) { /* use compressed row format */
1359     m    = a->compressedrow.nrows;
1360     ii   = a->compressedrow.i;
1361     ridx = a->compressedrow.rindex;
1362     for (i=0; i<m; i++) {
1363       n           = ii[i+1] - ii[i];
1364       aj          = a->j + ii[i];
1365       aa          = a->a + ii[i];
1366       sum         = 0.0;
1367       nonzerorow += (n>0);
1368       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1369       /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */
1370       y[*ridx++] = sum;
1371     }
1372   } else { /* do not use compressed row format */
1373     ii = a->i;
1374     for (i=0; i<m; i++) {
1375       n           = ii[i+1] - ii[i];
1376       aj          = a->j + ii[i];
1377       aa          = a->a + ii[i];
1378       sum         = 0.0;
1379       nonzerorow += (n>0);
1380       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1381       y[i] = sum;
1382     }
1383   }
1384   ierr = PetscLogFlops(2.0*a->nz - nonzerorow);CHKERRQ(ierr);
1385   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1386   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1387   PetscFunctionReturn(0);
1388 }
1389 
1390 PetscErrorCode MatMultAddMax_SeqAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1391 {
1392   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1393   PetscScalar       *y,*z;
1394   const PetscScalar *x;
1395   const MatScalar   *aa;
1396   PetscErrorCode    ierr;
1397   PetscInt          m = A->rmap->n,*aj,*ii;
1398   PetscInt          n,i,*ridx=NULL;
1399   PetscScalar       sum;
1400   PetscBool         usecprow=a->compressedrow.use;
1401 
1402   PetscFunctionBegin;
1403   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1404   ierr = VecGetArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1405   if (usecprow) { /* use compressed row format */
1406     if (zz != yy) {
1407       ierr = PetscMemcpy(z,y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1408     }
1409     m    = a->compressedrow.nrows;
1410     ii   = a->compressedrow.i;
1411     ridx = a->compressedrow.rindex;
1412     for (i=0; i<m; i++) {
1413       n   = ii[i+1] - ii[i];
1414       aj  = a->j + ii[i];
1415       aa  = a->a + ii[i];
1416       sum = y[*ridx];
1417       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1418       z[*ridx++] = sum;
1419     }
1420   } else { /* do not use compressed row format */
1421     ii = a->i;
1422     for (i=0; i<m; i++) {
1423       n   = ii[i+1] - ii[i];
1424       aj  = a->j + ii[i];
1425       aa  = a->a + ii[i];
1426       sum = y[i];
1427       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1428       z[i] = sum;
1429     }
1430   }
1431   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1432   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1433   ierr = VecRestoreArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1434   PetscFunctionReturn(0);
1435 }
1436 
1437 #include <../src/mat/impls/aij/seq/ftn-kernels/fmultadd.h>
1438 PetscErrorCode MatMultAdd_SeqAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1439 {
1440   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1441   PetscScalar       *y,*z;
1442   const PetscScalar *x;
1443   const MatScalar   *aa;
1444   PetscErrorCode    ierr;
1445   const PetscInt    *aj,*ii,*ridx=NULL;
1446   PetscInt          m = A->rmap->n,n,i;
1447   PetscScalar       sum;
1448   PetscBool         usecprow=a->compressedrow.use;
1449 
1450   PetscFunctionBegin;
1451   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1452   ierr = VecGetArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1453   if (usecprow) { /* use compressed row format */
1454     if (zz != yy) {
1455       ierr = PetscMemcpy(z,y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1456     }
1457     m    = a->compressedrow.nrows;
1458     ii   = a->compressedrow.i;
1459     ridx = a->compressedrow.rindex;
1460     for (i=0; i<m; i++) {
1461       n   = ii[i+1] - ii[i];
1462       aj  = a->j + ii[i];
1463       aa  = a->a + ii[i];
1464       sum = y[*ridx];
1465       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1466       z[*ridx++] = sum;
1467     }
1468   } else { /* do not use compressed row format */
1469     ii = a->i;
1470 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTADDAIJ)
1471     aj = a->j;
1472     aa = a->a;
1473     fortranmultaddaij_(&m,x,ii,aj,aa,y,z);
1474 #else
1475     for (i=0; i<m; i++) {
1476       n   = ii[i+1] - ii[i];
1477       aj  = a->j + ii[i];
1478       aa  = a->a + ii[i];
1479       sum = y[i];
1480       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1481       z[i] = sum;
1482     }
1483 #endif
1484   }
1485   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1486   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1487   ierr = VecRestoreArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1488 #if defined(PETSC_HAVE_CUSP)
1489   /*
1490   ierr = VecView(xx,0);CHKERRQ(ierr);
1491   ierr = VecView(zz,0);CHKERRQ(ierr);
1492   ierr = MatView(A,0);CHKERRQ(ierr);
1493   */
1494 #endif
1495   PetscFunctionReturn(0);
1496 }
1497 
1498 /*
1499      Adds diagonal pointers to sparse matrix structure.
1500 */
1501 PetscErrorCode MatMarkDiagonal_SeqAIJ(Mat A)
1502 {
1503   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1504   PetscErrorCode ierr;
1505   PetscInt       i,j,m = A->rmap->n;
1506 
1507   PetscFunctionBegin;
1508   if (!a->diag) {
1509     ierr = PetscMalloc1(m,&a->diag);CHKERRQ(ierr);
1510     ierr = PetscLogObjectMemory((PetscObject)A, m*sizeof(PetscInt));CHKERRQ(ierr);
1511   }
1512   for (i=0; i<A->rmap->n; i++) {
1513     a->diag[i] = a->i[i+1];
1514     for (j=a->i[i]; j<a->i[i+1]; j++) {
1515       if (a->j[j] == i) {
1516         a->diag[i] = j;
1517         break;
1518       }
1519     }
1520   }
1521   PetscFunctionReturn(0);
1522 }
1523 
1524 /*
1525      Checks for missing diagonals
1526 */
1527 PetscErrorCode MatMissingDiagonal_SeqAIJ(Mat A,PetscBool  *missing,PetscInt *d)
1528 {
1529   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1530   PetscInt   *diag,*ii = a->i,i;
1531 
1532   PetscFunctionBegin;
1533   *missing = PETSC_FALSE;
1534   if (A->rmap->n > 0 && !ii) {
1535     *missing = PETSC_TRUE;
1536     if (d) *d = 0;
1537     PetscInfo(A,"Matrix has no entries therefore is missing diagonal\n");
1538   } else {
1539     diag = a->diag;
1540     for (i=0; i<A->rmap->n; i++) {
1541       if (diag[i] >= ii[i+1]) {
1542         *missing = PETSC_TRUE;
1543         if (d) *d = i;
1544         PetscInfo1(A,"Matrix is missing diagonal number %D\n",i);
1545         break;
1546       }
1547     }
1548   }
1549   PetscFunctionReturn(0);
1550 }
1551 
1552 /*
1553    Negative shift indicates do not generate an error if there is a zero diagonal, just invert it anyways
1554 */
1555 PetscErrorCode  MatInvertDiagonal_SeqAIJ(Mat A,PetscScalar omega,PetscScalar fshift)
1556 {
1557   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
1558   PetscErrorCode ierr;
1559   PetscInt       i,*diag,m = A->rmap->n;
1560   MatScalar      *v = a->a;
1561   PetscScalar    *idiag,*mdiag;
1562 
1563   PetscFunctionBegin;
1564   if (a->idiagvalid) PetscFunctionReturn(0);
1565   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1566   diag = a->diag;
1567   if (!a->idiag) {
1568     ierr = PetscMalloc3(m,&a->idiag,m,&a->mdiag,m,&a->ssor_work);CHKERRQ(ierr);
1569     ierr = PetscLogObjectMemory((PetscObject)A, 3*m*sizeof(PetscScalar));CHKERRQ(ierr);
1570     v    = a->a;
1571   }
1572   mdiag = a->mdiag;
1573   idiag = a->idiag;
1574 
1575   if (omega == 1.0 && PetscRealPart(fshift) <= 0.0) {
1576     for (i=0; i<m; i++) {
1577       mdiag[i] = v[diag[i]];
1578       if (!PetscAbsScalar(mdiag[i])) { /* zero diagonal */
1579         if (PetscRealPart(fshift)) {
1580           ierr = PetscInfo1(A,"Zero diagonal on row %D\n",i);CHKERRQ(ierr);
1581           A->factorerrortype             = MAT_FACTOR_NUMERIC_ZEROPIVOT;
1582           A->factorerror_zeropivot_value = 0.0;
1583           A->factorerror_zeropivot_row   = i;
1584         } SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Zero diagonal on row %D",i);
1585       }
1586       idiag[i] = 1.0/v[diag[i]];
1587     }
1588     ierr = PetscLogFlops(m);CHKERRQ(ierr);
1589   } else {
1590     for (i=0; i<m; i++) {
1591       mdiag[i] = v[diag[i]];
1592       idiag[i] = omega/(fshift + v[diag[i]]);
1593     }
1594     ierr = PetscLogFlops(2.0*m);CHKERRQ(ierr);
1595   }
1596   a->idiagvalid = PETSC_TRUE;
1597   PetscFunctionReturn(0);
1598 }
1599 
1600 #include <../src/mat/impls/aij/seq/ftn-kernels/frelax.h>
1601 PetscErrorCode MatSOR_SeqAIJ(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
1602 {
1603   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1604   PetscScalar       *x,d,sum,*t,scale;
1605   const MatScalar   *v,*idiag=0,*mdiag;
1606   const PetscScalar *b, *bs,*xb, *ts;
1607   PetscErrorCode    ierr;
1608   PetscInt          n,m = A->rmap->n,i;
1609   const PetscInt    *idx,*diag;
1610 
1611   PetscFunctionBegin;
1612   its = its*lits;
1613 
1614   if (fshift != a->fshift || omega != a->omega) a->idiagvalid = PETSC_FALSE; /* must recompute idiag[] */
1615   if (!a->idiagvalid) {ierr = MatInvertDiagonal_SeqAIJ(A,omega,fshift);CHKERRQ(ierr);}
1616   a->fshift = fshift;
1617   a->omega  = omega;
1618 
1619   diag  = a->diag;
1620   t     = a->ssor_work;
1621   idiag = a->idiag;
1622   mdiag = a->mdiag;
1623 
1624   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1625   ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
1626   /* We count flops by assuming the upper triangular and lower triangular parts have the same number of nonzeros */
1627   if (flag == SOR_APPLY_UPPER) {
1628     /* apply (U + D/omega) to the vector */
1629     bs = b;
1630     for (i=0; i<m; i++) {
1631       d   = fshift + mdiag[i];
1632       n   = a->i[i+1] - diag[i] - 1;
1633       idx = a->j + diag[i] + 1;
1634       v   = a->a + diag[i] + 1;
1635       sum = b[i]*d/omega;
1636       PetscSparseDensePlusDot(sum,bs,v,idx,n);
1637       x[i] = sum;
1638     }
1639     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1640     ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1641     ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1642     PetscFunctionReturn(0);
1643   }
1644 
1645   if (flag == SOR_APPLY_LOWER) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SOR_APPLY_LOWER is not implemented");
1646   else if (flag & SOR_EISENSTAT) {
1647     /* Let  A = L + U + D; where L is lower trianglar,
1648     U is upper triangular, E = D/omega; This routine applies
1649 
1650             (L + E)^{-1} A (U + E)^{-1}
1651 
1652     to a vector efficiently using Eisenstat's trick.
1653     */
1654     scale = (2.0/omega) - 1.0;
1655 
1656     /*  x = (E + U)^{-1} b */
1657     for (i=m-1; i>=0; i--) {
1658       n   = a->i[i+1] - diag[i] - 1;
1659       idx = a->j + diag[i] + 1;
1660       v   = a->a + diag[i] + 1;
1661       sum = b[i];
1662       PetscSparseDenseMinusDot(sum,x,v,idx,n);
1663       x[i] = sum*idiag[i];
1664     }
1665 
1666     /*  t = b - (2*E - D)x */
1667     v = a->a;
1668     for (i=0; i<m; i++) t[i] = b[i] - scale*(v[*diag++])*x[i];
1669 
1670     /*  t = (E + L)^{-1}t */
1671     ts   = t;
1672     diag = a->diag;
1673     for (i=0; i<m; i++) {
1674       n   = diag[i] - a->i[i];
1675       idx = a->j + a->i[i];
1676       v   = a->a + a->i[i];
1677       sum = t[i];
1678       PetscSparseDenseMinusDot(sum,ts,v,idx,n);
1679       t[i] = sum*idiag[i];
1680       /*  x = x + t */
1681       x[i] += t[i];
1682     }
1683 
1684     ierr = PetscLogFlops(6.0*m-1 + 2.0*a->nz);CHKERRQ(ierr);
1685     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1686     ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1687     PetscFunctionReturn(0);
1688   }
1689   if (flag & SOR_ZERO_INITIAL_GUESS) {
1690     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
1691       for (i=0; i<m; i++) {
1692         n   = diag[i] - a->i[i];
1693         idx = a->j + a->i[i];
1694         v   = a->a + a->i[i];
1695         sum = b[i];
1696         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1697         t[i] = sum;
1698         x[i] = sum*idiag[i];
1699       }
1700       xb   = t;
1701       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1702     } else xb = b;
1703     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
1704       for (i=m-1; i>=0; i--) {
1705         n   = a->i[i+1] - diag[i] - 1;
1706         idx = a->j + diag[i] + 1;
1707         v   = a->a + diag[i] + 1;
1708         sum = xb[i];
1709         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1710         if (xb == b) {
1711           x[i] = sum*idiag[i];
1712         } else {
1713           x[i] = (1-omega)*x[i] + sum*idiag[i];  /* omega in idiag */
1714         }
1715       }
1716       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr); /* assumes 1/2 in upper */
1717     }
1718     its--;
1719   }
1720   while (its--) {
1721     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
1722       for (i=0; i<m; i++) {
1723         /* lower */
1724         n   = diag[i] - a->i[i];
1725         idx = a->j + a->i[i];
1726         v   = a->a + a->i[i];
1727         sum = b[i];
1728         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1729         t[i] = sum;             /* save application of the lower-triangular part */
1730         /* upper */
1731         n   = a->i[i+1] - diag[i] - 1;
1732         idx = a->j + diag[i] + 1;
1733         v   = a->a + diag[i] + 1;
1734         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1735         x[i] = (1. - omega)*x[i] + sum*idiag[i]; /* omega in idiag */
1736       }
1737       xb   = t;
1738       ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1739     } else xb = b;
1740     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
1741       for (i=m-1; i>=0; i--) {
1742         sum = xb[i];
1743         if (xb == b) {
1744           /* whole matrix (no checkpointing available) */
1745           n   = a->i[i+1] - a->i[i];
1746           idx = a->j + a->i[i];
1747           v   = a->a + a->i[i];
1748           PetscSparseDenseMinusDot(sum,x,v,idx,n);
1749           x[i] = (1. - omega)*x[i] + (sum + mdiag[i]*x[i])*idiag[i];
1750         } else { /* lower-triangular part has been saved, so only apply upper-triangular */
1751           n   = a->i[i+1] - diag[i] - 1;
1752           idx = a->j + diag[i] + 1;
1753           v   = a->a + diag[i] + 1;
1754           PetscSparseDenseMinusDot(sum,x,v,idx,n);
1755           x[i] = (1. - omega)*x[i] + sum*idiag[i];  /* omega in idiag */
1756         }
1757       }
1758       if (xb == b) {
1759         ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1760       } else {
1761         ierr = PetscLogFlops(a->nz);CHKERRQ(ierr); /* assumes 1/2 in upper */
1762       }
1763     }
1764   }
1765   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1766   ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1767   PetscFunctionReturn(0);
1768 }
1769 
1770 
1771 PetscErrorCode MatGetInfo_SeqAIJ(Mat A,MatInfoType flag,MatInfo *info)
1772 {
1773   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1774 
1775   PetscFunctionBegin;
1776   info->block_size   = 1.0;
1777   info->nz_allocated = (double)a->maxnz;
1778   info->nz_used      = (double)a->nz;
1779   info->nz_unneeded  = (double)(a->maxnz - a->nz);
1780   info->assemblies   = (double)A->num_ass;
1781   info->mallocs      = (double)A->info.mallocs;
1782   info->memory       = ((PetscObject)A)->mem;
1783   if (A->factortype) {
1784     info->fill_ratio_given  = A->info.fill_ratio_given;
1785     info->fill_ratio_needed = A->info.fill_ratio_needed;
1786     info->factor_mallocs    = A->info.factor_mallocs;
1787   } else {
1788     info->fill_ratio_given  = 0;
1789     info->fill_ratio_needed = 0;
1790     info->factor_mallocs    = 0;
1791   }
1792   PetscFunctionReturn(0);
1793 }
1794 
1795 PetscErrorCode MatZeroRows_SeqAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1796 {
1797   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1798   PetscInt          i,m = A->rmap->n - 1;
1799   PetscErrorCode    ierr;
1800   const PetscScalar *xx;
1801   PetscScalar       *bb;
1802   PetscInt          d = 0;
1803 
1804   PetscFunctionBegin;
1805   if (x && b) {
1806     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1807     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1808     for (i=0; i<N; i++) {
1809       if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1810       bb[rows[i]] = diag*xx[rows[i]];
1811     }
1812     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1813     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1814   }
1815 
1816   if (a->keepnonzeropattern) {
1817     for (i=0; i<N; i++) {
1818       if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1819       ierr = PetscMemzero(&a->a[a->i[rows[i]]],a->ilen[rows[i]]*sizeof(PetscScalar));CHKERRQ(ierr);
1820     }
1821     if (diag != 0.0) {
1822       for (i=0; i<N; i++) {
1823         d = rows[i];
1824         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);
1825       }
1826       for (i=0; i<N; i++) {
1827         a->a[a->diag[rows[i]]] = diag;
1828       }
1829     }
1830   } else {
1831     if (diag != 0.0) {
1832       for (i=0; i<N; i++) {
1833         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1834         if (a->ilen[rows[i]] > 0) {
1835           a->ilen[rows[i]]    = 1;
1836           a->a[a->i[rows[i]]] = diag;
1837           a->j[a->i[rows[i]]] = rows[i];
1838         } else { /* in case row was completely empty */
1839           ierr = MatSetValues_SeqAIJ(A,1,&rows[i],1,&rows[i],&diag,INSERT_VALUES);CHKERRQ(ierr);
1840         }
1841       }
1842     } else {
1843       for (i=0; i<N; i++) {
1844         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1845         a->ilen[rows[i]] = 0;
1846       }
1847     }
1848     A->nonzerostate++;
1849   }
1850   ierr = (*A->ops->assemblyend)(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1851   PetscFunctionReturn(0);
1852 }
1853 
1854 PetscErrorCode MatZeroRowsColumns_SeqAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1855 {
1856   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1857   PetscInt          i,j,m = A->rmap->n - 1,d = 0;
1858   PetscErrorCode    ierr;
1859   PetscBool         missing,*zeroed,vecs = PETSC_FALSE;
1860   const PetscScalar *xx;
1861   PetscScalar       *bb;
1862 
1863   PetscFunctionBegin;
1864   if (x && b) {
1865     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1866     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1867     vecs = PETSC_TRUE;
1868   }
1869   ierr = PetscCalloc1(A->rmap->n,&zeroed);CHKERRQ(ierr);
1870   for (i=0; i<N; i++) {
1871     if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1872     ierr = PetscMemzero(&a->a[a->i[rows[i]]],a->ilen[rows[i]]*sizeof(PetscScalar));CHKERRQ(ierr);
1873 
1874     zeroed[rows[i]] = PETSC_TRUE;
1875   }
1876   for (i=0; i<A->rmap->n; i++) {
1877     if (!zeroed[i]) {
1878       for (j=a->i[i]; j<a->i[i+1]; j++) {
1879         if (zeroed[a->j[j]]) {
1880           if (vecs) bb[i] -= a->a[j]*xx[a->j[j]];
1881           a->a[j] = 0.0;
1882         }
1883       }
1884     } else if (vecs) bb[i] = diag*xx[i];
1885   }
1886   if (x && b) {
1887     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1888     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1889   }
1890   ierr = PetscFree(zeroed);CHKERRQ(ierr);
1891   if (diag != 0.0) {
1892     ierr = MatMissingDiagonal_SeqAIJ(A,&missing,&d);CHKERRQ(ierr);
1893     if (missing) {
1894       if (a->nonew) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Matrix is missing diagonal entry in row %D",d);
1895       else {
1896         for (i=0; i<N; i++) {
1897           ierr = MatSetValues_SeqAIJ(A,1,&rows[i],1,&rows[i],&diag,INSERT_VALUES);CHKERRQ(ierr);
1898         }
1899       }
1900     } else {
1901       for (i=0; i<N; i++) {
1902         a->a[a->diag[rows[i]]] = diag;
1903       }
1904     }
1905   }
1906   ierr = (*A->ops->assemblyend)(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1907   PetscFunctionReturn(0);
1908 }
1909 
1910 PetscErrorCode MatGetRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1911 {
1912   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1913   PetscInt   *itmp;
1914 
1915   PetscFunctionBegin;
1916   if (row < 0 || row >= A->rmap->n) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row %D out of range",row);
1917 
1918   *nz = a->i[row+1] - a->i[row];
1919   if (v) *v = a->a + a->i[row];
1920   if (idx) {
1921     itmp = a->j + a->i[row];
1922     if (*nz) *idx = itmp;
1923     else *idx = 0;
1924   }
1925   PetscFunctionReturn(0);
1926 }
1927 
1928 /* remove this function? */
1929 PetscErrorCode MatRestoreRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1930 {
1931   PetscFunctionBegin;
1932   PetscFunctionReturn(0);
1933 }
1934 
1935 PetscErrorCode MatNorm_SeqAIJ(Mat A,NormType type,PetscReal *nrm)
1936 {
1937   Mat_SeqAIJ     *a  = (Mat_SeqAIJ*)A->data;
1938   MatScalar      *v  = a->a;
1939   PetscReal      sum = 0.0;
1940   PetscErrorCode ierr;
1941   PetscInt       i,j;
1942 
1943   PetscFunctionBegin;
1944   if (type == NORM_FROBENIUS) {
1945 #if defined(PETSC_USE_REAL___FP16)
1946     PetscBLASInt one = 1,nz = a->nz;
1947     *nrm = BLASnrm2_(&nz,v,&one);
1948 #else
1949     for (i=0; i<a->nz; i++) {
1950       sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
1951     }
1952     *nrm = PetscSqrtReal(sum);
1953 #endif
1954     ierr = PetscLogFlops(2*a->nz);CHKERRQ(ierr);
1955   } else if (type == NORM_1) {
1956     PetscReal *tmp;
1957     PetscInt  *jj = a->j;
1958     ierr = PetscCalloc1(A->cmap->n+1,&tmp);CHKERRQ(ierr);
1959     *nrm = 0.0;
1960     for (j=0; j<a->nz; j++) {
1961       tmp[*jj++] += PetscAbsScalar(*v);  v++;
1962     }
1963     for (j=0; j<A->cmap->n; j++) {
1964       if (tmp[j] > *nrm) *nrm = tmp[j];
1965     }
1966     ierr = PetscFree(tmp);CHKERRQ(ierr);
1967     ierr = PetscLogFlops(PetscMax(a->nz-1,0));CHKERRQ(ierr);
1968   } else if (type == NORM_INFINITY) {
1969     *nrm = 0.0;
1970     for (j=0; j<A->rmap->n; j++) {
1971       v   = a->a + a->i[j];
1972       sum = 0.0;
1973       for (i=0; i<a->i[j+1]-a->i[j]; i++) {
1974         sum += PetscAbsScalar(*v); v++;
1975       }
1976       if (sum > *nrm) *nrm = sum;
1977     }
1978     ierr = PetscLogFlops(PetscMax(a->nz-1,0));CHKERRQ(ierr);
1979   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for two norm");
1980   PetscFunctionReturn(0);
1981 }
1982 
1983 /* Merged from MatGetSymbolicTranspose_SeqAIJ() - replace MatGetSymbolicTranspose_SeqAIJ()? */
1984 PetscErrorCode MatTransposeSymbolic_SeqAIJ(Mat A,Mat *B)
1985 {
1986   PetscErrorCode ierr;
1987   PetscInt       i,j,anzj;
1988   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data,*b;
1989   PetscInt       an=A->cmap->N,am=A->rmap->N;
1990   PetscInt       *ati,*atj,*atfill,*ai=a->i,*aj=a->j;
1991 
1992   PetscFunctionBegin;
1993   /* Allocate space for symbolic transpose info and work array */
1994   ierr = PetscCalloc1(an+1,&ati);CHKERRQ(ierr);
1995   ierr = PetscMalloc1(ai[am],&atj);CHKERRQ(ierr);
1996   ierr = PetscMalloc1(an,&atfill);CHKERRQ(ierr);
1997 
1998   /* Walk through aj and count ## of non-zeros in each row of A^T. */
1999   /* Note: offset by 1 for fast conversion into csr format. */
2000   for (i=0;i<ai[am];i++) ati[aj[i]+1] += 1;
2001   /* Form ati for csr format of A^T. */
2002   for (i=0;i<an;i++) ati[i+1] += ati[i];
2003 
2004   /* Copy ati into atfill so we have locations of the next free space in atj */
2005   ierr = PetscMemcpy(atfill,ati,an*sizeof(PetscInt));CHKERRQ(ierr);
2006 
2007   /* Walk through A row-wise and mark nonzero entries of A^T. */
2008   for (i=0;i<am;i++) {
2009     anzj = ai[i+1] - ai[i];
2010     for (j=0;j<anzj;j++) {
2011       atj[atfill[*aj]] = i;
2012       atfill[*aj++]   += 1;
2013     }
2014   }
2015 
2016   /* Clean up temporary space and complete requests. */
2017   ierr = PetscFree(atfill);CHKERRQ(ierr);
2018   ierr = MatCreateSeqAIJWithArrays(PetscObjectComm((PetscObject)A),an,am,ati,atj,NULL,B);CHKERRQ(ierr);
2019   ierr = MatSetBlockSizes(*B,PetscAbs(A->cmap->bs),PetscAbs(A->rmap->bs));CHKERRQ(ierr);
2020 
2021   b          = (Mat_SeqAIJ*)((*B)->data);
2022   b->free_a  = PETSC_FALSE;
2023   b->free_ij = PETSC_TRUE;
2024   b->nonew   = 0;
2025   PetscFunctionReturn(0);
2026 }
2027 
2028 PetscErrorCode MatTranspose_SeqAIJ(Mat A,MatReuse reuse,Mat *B)
2029 {
2030   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2031   Mat            C;
2032   PetscErrorCode ierr;
2033   PetscInt       i,*aj = a->j,*ai = a->i,m = A->rmap->n,len,*col;
2034   MatScalar      *array = a->a;
2035 
2036   PetscFunctionBegin;
2037   if (reuse == MAT_INPLACE_MATRIX && m != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Square matrix only for in-place");
2038 
2039   if (reuse == MAT_INITIAL_MATRIX || reuse == MAT_INPLACE_MATRIX) {
2040     ierr = PetscCalloc1(1+A->cmap->n,&col);CHKERRQ(ierr);
2041 
2042     for (i=0; i<ai[m]; i++) col[aj[i]] += 1;
2043     ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2044     ierr = MatSetSizes(C,A->cmap->n,m,A->cmap->n,m);CHKERRQ(ierr);
2045     ierr = MatSetBlockSizes(C,PetscAbs(A->cmap->bs),PetscAbs(A->rmap->bs));CHKERRQ(ierr);
2046     ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2047     ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,col);CHKERRQ(ierr);
2048     ierr = PetscFree(col);CHKERRQ(ierr);
2049   } else {
2050     C = *B;
2051   }
2052 
2053   for (i=0; i<m; i++) {
2054     len    = ai[i+1]-ai[i];
2055     ierr   = MatSetValues_SeqAIJ(C,len,aj,1,&i,array,INSERT_VALUES);CHKERRQ(ierr);
2056     array += len;
2057     aj    += len;
2058   }
2059   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2060   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2061 
2062   if (reuse == MAT_INITIAL_MATRIX || reuse == MAT_REUSE_MATRIX) {
2063     *B = C;
2064   } else {
2065     ierr = MatHeaderMerge(A,&C);CHKERRQ(ierr);
2066   }
2067   PetscFunctionReturn(0);
2068 }
2069 
2070 PetscErrorCode  MatIsTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
2071 {
2072   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) A->data,*bij = (Mat_SeqAIJ*) B->data;
2073   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr;
2074   MatScalar      *va,*vb;
2075   PetscErrorCode ierr;
2076   PetscInt       ma,na,mb,nb, i;
2077 
2078   PetscFunctionBegin;
2079   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
2080   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
2081   if (ma!=nb || na!=mb) {
2082     *f = PETSC_FALSE;
2083     PetscFunctionReturn(0);
2084   }
2085   aii  = aij->i; bii = bij->i;
2086   adx  = aij->j; bdx = bij->j;
2087   va   = aij->a; vb = bij->a;
2088   ierr = PetscMalloc1(ma,&aptr);CHKERRQ(ierr);
2089   ierr = PetscMalloc1(mb,&bptr);CHKERRQ(ierr);
2090   for (i=0; i<ma; i++) aptr[i] = aii[i];
2091   for (i=0; i<mb; i++) bptr[i] = bii[i];
2092 
2093   *f = PETSC_TRUE;
2094   for (i=0; i<ma; i++) {
2095     while (aptr[i]<aii[i+1]) {
2096       PetscInt    idc,idr;
2097       PetscScalar vc,vr;
2098       /* column/row index/value */
2099       idc = adx[aptr[i]];
2100       idr = bdx[bptr[idc]];
2101       vc  = va[aptr[i]];
2102       vr  = vb[bptr[idc]];
2103       if (i!=idr || PetscAbsScalar(vc-vr) > tol) {
2104         *f = PETSC_FALSE;
2105         goto done;
2106       } else {
2107         aptr[i]++;
2108         if (B || i!=idc) bptr[idc]++;
2109       }
2110     }
2111   }
2112 done:
2113   ierr = PetscFree(aptr);CHKERRQ(ierr);
2114   ierr = PetscFree(bptr);CHKERRQ(ierr);
2115   PetscFunctionReturn(0);
2116 }
2117 
2118 PetscErrorCode  MatIsHermitianTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
2119 {
2120   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) A->data,*bij = (Mat_SeqAIJ*) B->data;
2121   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr;
2122   MatScalar      *va,*vb;
2123   PetscErrorCode ierr;
2124   PetscInt       ma,na,mb,nb, i;
2125 
2126   PetscFunctionBegin;
2127   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
2128   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
2129   if (ma!=nb || na!=mb) {
2130     *f = PETSC_FALSE;
2131     PetscFunctionReturn(0);
2132   }
2133   aii  = aij->i; bii = bij->i;
2134   adx  = aij->j; bdx = bij->j;
2135   va   = aij->a; vb = bij->a;
2136   ierr = PetscMalloc1(ma,&aptr);CHKERRQ(ierr);
2137   ierr = PetscMalloc1(mb,&bptr);CHKERRQ(ierr);
2138   for (i=0; i<ma; i++) aptr[i] = aii[i];
2139   for (i=0; i<mb; i++) bptr[i] = bii[i];
2140 
2141   *f = PETSC_TRUE;
2142   for (i=0; i<ma; i++) {
2143     while (aptr[i]<aii[i+1]) {
2144       PetscInt    idc,idr;
2145       PetscScalar vc,vr;
2146       /* column/row index/value */
2147       idc = adx[aptr[i]];
2148       idr = bdx[bptr[idc]];
2149       vc  = va[aptr[i]];
2150       vr  = vb[bptr[idc]];
2151       if (i!=idr || PetscAbsScalar(vc-PetscConj(vr)) > tol) {
2152         *f = PETSC_FALSE;
2153         goto done;
2154       } else {
2155         aptr[i]++;
2156         if (B || i!=idc) bptr[idc]++;
2157       }
2158     }
2159   }
2160 done:
2161   ierr = PetscFree(aptr);CHKERRQ(ierr);
2162   ierr = PetscFree(bptr);CHKERRQ(ierr);
2163   PetscFunctionReturn(0);
2164 }
2165 
2166 PetscErrorCode MatIsSymmetric_SeqAIJ(Mat A,PetscReal tol,PetscBool  *f)
2167 {
2168   PetscErrorCode ierr;
2169 
2170   PetscFunctionBegin;
2171   ierr = MatIsTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
2172   PetscFunctionReturn(0);
2173 }
2174 
2175 PetscErrorCode MatIsHermitian_SeqAIJ(Mat A,PetscReal tol,PetscBool  *f)
2176 {
2177   PetscErrorCode ierr;
2178 
2179   PetscFunctionBegin;
2180   ierr = MatIsHermitianTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
2181   PetscFunctionReturn(0);
2182 }
2183 
2184 PetscErrorCode MatDiagonalScale_SeqAIJ(Mat A,Vec ll,Vec rr)
2185 {
2186   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
2187   const PetscScalar *l,*r;
2188   PetscScalar       x;
2189   MatScalar         *v;
2190   PetscErrorCode    ierr;
2191   PetscInt          i,j,m = A->rmap->n,n = A->cmap->n,M,nz = a->nz;
2192   const PetscInt    *jj;
2193 
2194   PetscFunctionBegin;
2195   if (ll) {
2196     /* The local size is used so that VecMPI can be passed to this routine
2197        by MatDiagonalScale_MPIAIJ */
2198     ierr = VecGetLocalSize(ll,&m);CHKERRQ(ierr);
2199     if (m != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Left scaling vector wrong length");
2200     ierr = VecGetArrayRead(ll,&l);CHKERRQ(ierr);
2201     v    = a->a;
2202     for (i=0; i<m; i++) {
2203       x = l[i];
2204       M = a->i[i+1] - a->i[i];
2205       for (j=0; j<M; j++) (*v++) *= x;
2206     }
2207     ierr = VecRestoreArrayRead(ll,&l);CHKERRQ(ierr);
2208     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
2209   }
2210   if (rr) {
2211     ierr = VecGetLocalSize(rr,&n);CHKERRQ(ierr);
2212     if (n != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Right scaling vector wrong length");
2213     ierr = VecGetArrayRead(rr,&r);CHKERRQ(ierr);
2214     v    = a->a; jj = a->j;
2215     for (i=0; i<nz; i++) (*v++) *= r[*jj++];
2216     ierr = VecRestoreArrayRead(rr,&r);CHKERRQ(ierr);
2217     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
2218   }
2219   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
2220   PetscFunctionReturn(0);
2221 }
2222 
2223 PetscErrorCode MatCreateSubMatrix_SeqAIJ(Mat A,IS isrow,IS iscol,PetscInt csize,MatReuse scall,Mat *B)
2224 {
2225   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*c;
2226   PetscErrorCode ierr;
2227   PetscInt       *smap,i,k,kstart,kend,oldcols = A->cmap->n,*lens;
2228   PetscInt       row,mat_i,*mat_j,tcol,first,step,*mat_ilen,sum,lensi;
2229   const PetscInt *irow,*icol;
2230   PetscInt       nrows,ncols;
2231   PetscInt       *starts,*j_new,*i_new,*aj = a->j,*ai = a->i,ii,*ailen = a->ilen;
2232   MatScalar      *a_new,*mat_a;
2233   Mat            C;
2234   PetscBool      stride;
2235 
2236   PetscFunctionBegin;
2237 
2238   ierr = ISGetIndices(isrow,&irow);CHKERRQ(ierr);
2239   ierr = ISGetLocalSize(isrow,&nrows);CHKERRQ(ierr);
2240   ierr = ISGetLocalSize(iscol,&ncols);CHKERRQ(ierr);
2241 
2242   ierr = PetscObjectTypeCompare((PetscObject)iscol,ISSTRIDE,&stride);CHKERRQ(ierr);
2243   if (stride) {
2244     ierr = ISStrideGetInfo(iscol,&first,&step);CHKERRQ(ierr);
2245   } else {
2246     first = 0;
2247     step  = 0;
2248   }
2249   if (stride && step == 1) {
2250     /* special case of contiguous rows */
2251     ierr = PetscMalloc2(nrows,&lens,nrows,&starts);CHKERRQ(ierr);
2252     /* loop over new rows determining lens and starting points */
2253     for (i=0; i<nrows; i++) {
2254       kstart = ai[irow[i]];
2255       kend   = kstart + ailen[irow[i]];
2256       starts[i] = kstart;
2257       for (k=kstart; k<kend; k++) {
2258         if (aj[k] >= first) {
2259           starts[i] = k;
2260           break;
2261         }
2262       }
2263       sum = 0;
2264       while (k < kend) {
2265         if (aj[k++] >= first+ncols) break;
2266         sum++;
2267       }
2268       lens[i] = sum;
2269     }
2270     /* create submatrix */
2271     if (scall == MAT_REUSE_MATRIX) {
2272       PetscInt n_cols,n_rows;
2273       ierr = MatGetSize(*B,&n_rows,&n_cols);CHKERRQ(ierr);
2274       if (n_rows != nrows || n_cols != ncols) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Reused submatrix wrong size");
2275       ierr = MatZeroEntries(*B);CHKERRQ(ierr);
2276       C    = *B;
2277     } else {
2278       PetscInt rbs,cbs;
2279       ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2280       ierr = MatSetSizes(C,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2281       ierr = ISGetBlockSize(isrow,&rbs);CHKERRQ(ierr);
2282       ierr = ISGetBlockSize(iscol,&cbs);CHKERRQ(ierr);
2283       ierr = MatSetBlockSizes(C,rbs,cbs);CHKERRQ(ierr);
2284       ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2285       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
2286     }
2287     c = (Mat_SeqAIJ*)C->data;
2288 
2289     /* loop over rows inserting into submatrix */
2290     a_new = c->a;
2291     j_new = c->j;
2292     i_new = c->i;
2293 
2294     for (i=0; i<nrows; i++) {
2295       ii    = starts[i];
2296       lensi = lens[i];
2297       for (k=0; k<lensi; k++) {
2298         *j_new++ = aj[ii+k] - first;
2299       }
2300       ierr       = PetscMemcpy(a_new,a->a + starts[i],lensi*sizeof(PetscScalar));CHKERRQ(ierr);
2301       a_new     += lensi;
2302       i_new[i+1] = i_new[i] + lensi;
2303       c->ilen[i] = lensi;
2304     }
2305     ierr = PetscFree2(lens,starts);CHKERRQ(ierr);
2306   } else {
2307     ierr = ISGetIndices(iscol,&icol);CHKERRQ(ierr);
2308     ierr = PetscCalloc1(oldcols,&smap);CHKERRQ(ierr);
2309     ierr = PetscMalloc1(1+nrows,&lens);CHKERRQ(ierr);
2310     for (i=0; i<ncols; i++) {
2311 #if defined(PETSC_USE_DEBUG)
2312       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);
2313 #endif
2314       smap[icol[i]] = i+1;
2315     }
2316 
2317     /* determine lens of each row */
2318     for (i=0; i<nrows; i++) {
2319       kstart  = ai[irow[i]];
2320       kend    = kstart + a->ilen[irow[i]];
2321       lens[i] = 0;
2322       for (k=kstart; k<kend; k++) {
2323         if (smap[aj[k]]) {
2324           lens[i]++;
2325         }
2326       }
2327     }
2328     /* Create and fill new matrix */
2329     if (scall == MAT_REUSE_MATRIX) {
2330       PetscBool equal;
2331 
2332       c = (Mat_SeqAIJ*)((*B)->data);
2333       if ((*B)->rmap->n  != nrows || (*B)->cmap->n != ncols) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong size");
2334       ierr = PetscMemcmp(c->ilen,lens,(*B)->rmap->n*sizeof(PetscInt),&equal);CHKERRQ(ierr);
2335       if (!equal) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong no of nonzeros");
2336       ierr = PetscMemzero(c->ilen,(*B)->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
2337       C    = *B;
2338     } else {
2339       PetscInt rbs,cbs;
2340       ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2341       ierr = MatSetSizes(C,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2342       ierr = ISGetBlockSize(isrow,&rbs);CHKERRQ(ierr);
2343       ierr = ISGetBlockSize(iscol,&cbs);CHKERRQ(ierr);
2344       ierr = MatSetBlockSizes(C,rbs,cbs);CHKERRQ(ierr);
2345       ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2346       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
2347     }
2348     c = (Mat_SeqAIJ*)(C->data);
2349     for (i=0; i<nrows; i++) {
2350       row      = irow[i];
2351       kstart   = ai[row];
2352       kend     = kstart + a->ilen[row];
2353       mat_i    = c->i[i];
2354       mat_j    = c->j + mat_i;
2355       mat_a    = c->a + mat_i;
2356       mat_ilen = c->ilen + i;
2357       for (k=kstart; k<kend; k++) {
2358         if ((tcol=smap[a->j[k]])) {
2359           *mat_j++ = tcol - 1;
2360           *mat_a++ = a->a[k];
2361           (*mat_ilen)++;
2362 
2363         }
2364       }
2365     }
2366     /* Free work space */
2367     ierr = ISRestoreIndices(iscol,&icol);CHKERRQ(ierr);
2368     ierr = PetscFree(smap);CHKERRQ(ierr);
2369     ierr = PetscFree(lens);CHKERRQ(ierr);
2370     /* sort */
2371     for (i = 0; i < nrows; i++) {
2372       PetscInt ilen;
2373 
2374       mat_i = c->i[i];
2375       mat_j = c->j + mat_i;
2376       mat_a = c->a + mat_i;
2377       ilen  = c->ilen[i];
2378       ierr  = PetscSortIntWithScalarArray(ilen,mat_j,mat_a);CHKERRQ(ierr);
2379     }
2380   }
2381   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2382   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2383 
2384   ierr = ISRestoreIndices(isrow,&irow);CHKERRQ(ierr);
2385   *B   = C;
2386   PetscFunctionReturn(0);
2387 }
2388 
2389 PetscErrorCode  MatGetMultiProcBlock_SeqAIJ(Mat mat,MPI_Comm subComm,MatReuse scall,Mat *subMat)
2390 {
2391   PetscErrorCode ierr;
2392   Mat            B;
2393 
2394   PetscFunctionBegin;
2395   if (scall == MAT_INITIAL_MATRIX) {
2396     ierr    = MatCreate(subComm,&B);CHKERRQ(ierr);
2397     ierr    = MatSetSizes(B,mat->rmap->n,mat->cmap->n,mat->rmap->n,mat->cmap->n);CHKERRQ(ierr);
2398     ierr    = MatSetBlockSizesFromMats(B,mat,mat);CHKERRQ(ierr);
2399     ierr    = MatSetType(B,MATSEQAIJ);CHKERRQ(ierr);
2400     ierr    = MatDuplicateNoCreate_SeqAIJ(B,mat,MAT_COPY_VALUES,PETSC_TRUE);CHKERRQ(ierr);
2401     *subMat = B;
2402   } else {
2403     ierr = MatCopy_SeqAIJ(mat,*subMat,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
2404   }
2405   PetscFunctionReturn(0);
2406 }
2407 
2408 PetscErrorCode MatILUFactor_SeqAIJ(Mat inA,IS row,IS col,const MatFactorInfo *info)
2409 {
2410   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)inA->data;
2411   PetscErrorCode ierr;
2412   Mat            outA;
2413   PetscBool      row_identity,col_identity;
2414 
2415   PetscFunctionBegin;
2416   if (info->levels != 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only levels=0 supported for in-place ilu");
2417 
2418   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
2419   ierr = ISIdentity(col,&col_identity);CHKERRQ(ierr);
2420 
2421   outA             = inA;
2422   outA->factortype = MAT_FACTOR_LU;
2423   ierr = PetscFree(inA->solvertype);CHKERRQ(ierr);
2424   ierr = PetscStrallocpy(MATSOLVERPETSC,&inA->solvertype);CHKERRQ(ierr);
2425 
2426   ierr = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
2427   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
2428 
2429   a->row = row;
2430 
2431   ierr = PetscObjectReference((PetscObject)col);CHKERRQ(ierr);
2432   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
2433 
2434   a->col = col;
2435 
2436   /* Create the inverse permutation so that it can be used in MatLUFactorNumeric() */
2437   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
2438   ierr = ISInvertPermutation(col,PETSC_DECIDE,&a->icol);CHKERRQ(ierr);
2439   ierr = PetscLogObjectParent((PetscObject)inA,(PetscObject)a->icol);CHKERRQ(ierr);
2440 
2441   if (!a->solve_work) { /* this matrix may have been factored before */
2442     ierr = PetscMalloc1(inA->rmap->n+1,&a->solve_work);CHKERRQ(ierr);
2443     ierr = PetscLogObjectMemory((PetscObject)inA, (inA->rmap->n+1)*sizeof(PetscScalar));CHKERRQ(ierr);
2444   }
2445 
2446   ierr = MatMarkDiagonal_SeqAIJ(inA);CHKERRQ(ierr);
2447   if (row_identity && col_identity) {
2448     ierr = MatLUFactorNumeric_SeqAIJ_inplace(outA,inA,info);CHKERRQ(ierr);
2449   } else {
2450     ierr = MatLUFactorNumeric_SeqAIJ_InplaceWithPerm(outA,inA,info);CHKERRQ(ierr);
2451   }
2452   PetscFunctionReturn(0);
2453 }
2454 
2455 PetscErrorCode MatScale_SeqAIJ(Mat inA,PetscScalar alpha)
2456 {
2457   Mat_SeqAIJ     *a     = (Mat_SeqAIJ*)inA->data;
2458   PetscScalar    oalpha = alpha;
2459   PetscErrorCode ierr;
2460   PetscBLASInt   one = 1,bnz;
2461 
2462   PetscFunctionBegin;
2463   ierr = PetscBLASIntCast(a->nz,&bnz);CHKERRQ(ierr);
2464   PetscStackCallBLAS("BLASscal",BLASscal_(&bnz,&oalpha,a->a,&one));
2465   ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
2466   ierr = MatSeqAIJInvalidateDiagonal(inA);CHKERRQ(ierr);
2467   PetscFunctionReturn(0);
2468 }
2469 
2470 PetscErrorCode MatDestroySubMatrix_Private(Mat_SubSppt *submatj)
2471 {
2472   PetscErrorCode ierr;
2473   PetscInt       i;
2474 
2475   PetscFunctionBegin;
2476   if (!submatj->id) { /* delete data that are linked only to submats[id=0] */
2477     ierr = PetscFree4(submatj->sbuf1,submatj->ptr,submatj->tmp,submatj->ctr);CHKERRQ(ierr);
2478 
2479     for (i=0; i<submatj->nrqr; ++i) {
2480       ierr = PetscFree(submatj->sbuf2[i]);CHKERRQ(ierr);
2481     }
2482     ierr = PetscFree3(submatj->sbuf2,submatj->req_size,submatj->req_source1);CHKERRQ(ierr);
2483 
2484     if (submatj->rbuf1) {
2485       ierr = PetscFree(submatj->rbuf1[0]);CHKERRQ(ierr);
2486       ierr = PetscFree(submatj->rbuf1);CHKERRQ(ierr);
2487     }
2488 
2489     for (i=0; i<submatj->nrqs; ++i) {
2490       ierr = PetscFree(submatj->rbuf3[i]);CHKERRQ(ierr);
2491     }
2492     ierr = PetscFree3(submatj->req_source2,submatj->rbuf2,submatj->rbuf3);CHKERRQ(ierr);
2493     ierr = PetscFree(submatj->pa);CHKERRQ(ierr);
2494   }
2495 
2496 #if defined(PETSC_USE_CTABLE)
2497   ierr = PetscTableDestroy((PetscTable*)&submatj->rmap);CHKERRQ(ierr);
2498   if (submatj->cmap_loc) {ierr = PetscFree(submatj->cmap_loc);CHKERRQ(ierr);}
2499   ierr = PetscFree(submatj->rmap_loc);CHKERRQ(ierr);
2500 #else
2501   ierr = PetscFree(submatj->rmap);CHKERRQ(ierr);
2502 #endif
2503 
2504   if (!submatj->allcolumns) {
2505 #if defined(PETSC_USE_CTABLE)
2506     ierr = PetscTableDestroy((PetscTable*)&submatj->cmap);CHKERRQ(ierr);
2507 #else
2508     ierr = PetscFree(submatj->cmap);CHKERRQ(ierr);
2509 #endif
2510   }
2511   ierr = PetscFree(submatj->row2proc);CHKERRQ(ierr);
2512 
2513   ierr = PetscFree(submatj);CHKERRQ(ierr);
2514   PetscFunctionReturn(0);
2515 }
2516 
2517 PetscErrorCode MatDestroySubMatrix_SeqAIJ(Mat C)
2518 {
2519   PetscErrorCode ierr;
2520   Mat_SeqAIJ     *c = (Mat_SeqAIJ*)C->data;
2521   Mat_SubSppt    *submatj = c->submatis1;
2522 
2523   PetscFunctionBegin;
2524   ierr = submatj->destroy(C);CHKERRQ(ierr);
2525   ierr = MatDestroySubMatrix_Private(submatj);CHKERRQ(ierr);
2526   PetscFunctionReturn(0);
2527 }
2528 
2529 PetscErrorCode MatDestroySubMatrices_SeqAIJ(PetscInt n,Mat *mat[])
2530 {
2531   PetscErrorCode ierr;
2532   PetscInt       i;
2533   Mat            C;
2534   Mat_SeqAIJ     *c;
2535   Mat_SubSppt    *submatj;
2536 
2537   PetscFunctionBegin;
2538   for (i=0; i<n; i++) {
2539     C       = (*mat)[i];
2540     c       = (Mat_SeqAIJ*)C->data;
2541     submatj = c->submatis1;
2542     if (submatj) {
2543       if (--((PetscObject)C)->refct <= 0) {
2544         ierr = (submatj->destroy)(C);CHKERRQ(ierr);
2545         ierr = MatDestroySubMatrix_Private(submatj);CHKERRQ(ierr);
2546         ierr = PetscLayoutDestroy(&C->rmap);CHKERRQ(ierr);
2547         ierr = PetscLayoutDestroy(&C->cmap);CHKERRQ(ierr);
2548         ierr = PetscHeaderDestroy(&C);CHKERRQ(ierr);
2549       }
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 
3560    Level: intermediate
3561 
3562 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays(), MatGetInfo()
3563 
3564 @*/
3565 PetscErrorCode  MatSeqAIJSetPreallocation(Mat B,PetscInt nz,const PetscInt nnz[])
3566 {
3567   PetscErrorCode ierr;
3568 
3569   PetscFunctionBegin;
3570   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3571   PetscValidType(B,1);
3572   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocation_C",(Mat,PetscInt,const PetscInt[]),(B,nz,nnz));CHKERRQ(ierr);
3573   PetscFunctionReturn(0);
3574 }
3575 
3576 PetscErrorCode  MatSeqAIJSetPreallocation_SeqAIJ(Mat B,PetscInt nz,const PetscInt *nnz)
3577 {
3578   Mat_SeqAIJ     *b;
3579   PetscBool      skipallocation = PETSC_FALSE,realalloc = PETSC_FALSE;
3580   PetscErrorCode ierr;
3581   PetscInt       i;
3582 
3583   PetscFunctionBegin;
3584   if (nz >= 0 || nnz) realalloc = PETSC_TRUE;
3585   if (nz == MAT_SKIP_ALLOCATION) {
3586     skipallocation = PETSC_TRUE;
3587     nz             = 0;
3588   }
3589   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3590   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3591 
3592   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
3593   if (nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %D",nz);
3594   if (nnz) {
3595     for (i=0; i<B->rmap->n; i++) {
3596       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]);
3597       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);
3598     }
3599   }
3600 
3601   B->preallocated = PETSC_TRUE;
3602 
3603   b = (Mat_SeqAIJ*)B->data;
3604 
3605   if (!skipallocation) {
3606     if (!b->imax) {
3607       ierr = PetscMalloc2(B->rmap->n,&b->imax,B->rmap->n,&b->ilen);CHKERRQ(ierr);
3608       ierr = PetscLogObjectMemory((PetscObject)B,2*B->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
3609     }
3610     if (!nnz) {
3611       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 10;
3612       else if (nz < 0) nz = 1;
3613       for (i=0; i<B->rmap->n; i++) b->imax[i] = nz;
3614       nz = nz*B->rmap->n;
3615     } else {
3616       nz = 0;
3617       for (i=0; i<B->rmap->n; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
3618     }
3619     /* b->ilen will count nonzeros in each row so far. */
3620     for (i=0; i<B->rmap->n; i++) b->ilen[i] = 0;
3621 
3622     /* allocate the matrix space */
3623     /* FIXME: should B's old memory be unlogged? */
3624     ierr    = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
3625     if (B->structure_only) {
3626       ierr    = PetscMalloc1(nz,&b->j);CHKERRQ(ierr);
3627       ierr    = PetscMalloc1(B->rmap->n+1,&b->i);CHKERRQ(ierr);
3628       ierr    = PetscLogObjectMemory((PetscObject)B,(B->rmap->n+1)*sizeof(PetscInt)+nz*sizeof(PetscInt));CHKERRQ(ierr);
3629     } else {
3630       ierr    = PetscMalloc3(nz,&b->a,nz,&b->j,B->rmap->n+1,&b->i);CHKERRQ(ierr);
3631       ierr    = PetscLogObjectMemory((PetscObject)B,(B->rmap->n+1)*sizeof(PetscInt)+nz*(sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
3632     }
3633     b->i[0] = 0;
3634     for (i=1; i<B->rmap->n+1; i++) {
3635       b->i[i] = b->i[i-1] + b->imax[i-1];
3636     }
3637     if (B->structure_only) {
3638       b->singlemalloc = PETSC_FALSE;
3639       b->free_a       = PETSC_FALSE;
3640     } else {
3641       b->singlemalloc = PETSC_TRUE;
3642       b->free_a       = PETSC_TRUE;
3643     }
3644     b->free_ij      = PETSC_TRUE;
3645   } else {
3646     b->free_a  = PETSC_FALSE;
3647     b->free_ij = PETSC_FALSE;
3648   }
3649 
3650   b->nz               = 0;
3651   b->maxnz            = nz;
3652   B->info.nz_unneeded = (double)b->maxnz;
3653   if (realalloc) {
3654     ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3655   }
3656   B->was_assembled = PETSC_FALSE;
3657   B->assembled     = PETSC_FALSE;
3658   PetscFunctionReturn(0);
3659 }
3660 
3661 /*@
3662    MatSeqAIJSetPreallocationCSR - Allocates memory for a sparse sequential matrix in AIJ format.
3663 
3664    Input Parameters:
3665 +  B - the matrix
3666 .  i - the indices into j for the start of each row (starts with zero)
3667 .  j - the column indices for each row (starts with zero) these must be sorted for each row
3668 -  v - optional values in the matrix
3669 
3670    Level: developer
3671 
3672    The i,j,v values are COPIED with this routine; to avoid the copy use MatCreateSeqAIJWithArrays()
3673 
3674 .keywords: matrix, aij, compressed row, sparse, sequential
3675 
3676 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatSeqAIJSetPreallocation(), MatCreateSeqAIJ(), SeqAIJ
3677 @*/
3678 PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat B,const PetscInt i[],const PetscInt j[],const PetscScalar v[])
3679 {
3680   PetscErrorCode ierr;
3681 
3682   PetscFunctionBegin;
3683   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3684   PetscValidType(B,1);
3685   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocationCSR_C",(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,i,j,v));CHKERRQ(ierr);
3686   PetscFunctionReturn(0);
3687 }
3688 
3689 PetscErrorCode  MatSeqAIJSetPreallocationCSR_SeqAIJ(Mat B,const PetscInt Ii[],const PetscInt J[],const PetscScalar v[])
3690 {
3691   PetscInt       i;
3692   PetscInt       m,n;
3693   PetscInt       nz;
3694   PetscInt       *nnz, nz_max = 0;
3695   PetscScalar    *values;
3696   PetscErrorCode ierr;
3697 
3698   PetscFunctionBegin;
3699   if (Ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Ii[0] must be 0 it is %D", Ii[0]);
3700 
3701   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3702   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3703 
3704   ierr = MatGetSize(B, &m, &n);CHKERRQ(ierr);
3705   ierr = PetscMalloc1(m+1, &nnz);CHKERRQ(ierr);
3706   for (i = 0; i < m; i++) {
3707     nz     = Ii[i+1]- Ii[i];
3708     nz_max = PetscMax(nz_max, nz);
3709     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Local row %D has a negative number of columns %D", i, nnz);
3710     nnz[i] = nz;
3711   }
3712   ierr = MatSeqAIJSetPreallocation(B, 0, nnz);CHKERRQ(ierr);
3713   ierr = PetscFree(nnz);CHKERRQ(ierr);
3714 
3715   if (v) {
3716     values = (PetscScalar*) v;
3717   } else {
3718     ierr = PetscCalloc1(nz_max, &values);CHKERRQ(ierr);
3719   }
3720 
3721   for (i = 0; i < m; i++) {
3722     nz   = Ii[i+1] - Ii[i];
3723     ierr = MatSetValues_SeqAIJ(B, 1, &i, nz, J+Ii[i], values + (v ? Ii[i] : 0), INSERT_VALUES);CHKERRQ(ierr);
3724   }
3725 
3726   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3727   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3728 
3729   if (!v) {
3730     ierr = PetscFree(values);CHKERRQ(ierr);
3731   }
3732   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3733   PetscFunctionReturn(0);
3734 }
3735 
3736 #include <../src/mat/impls/dense/seq/dense.h>
3737 #include <petsc/private/kernels/petscaxpy.h>
3738 
3739 /*
3740     Computes (B'*A')' since computing B*A directly is untenable
3741 
3742                n                       p                          p
3743         (              )       (              )         (                  )
3744       m (      A       )  *  n (       B      )   =   m (         C        )
3745         (              )       (              )         (                  )
3746 
3747 */
3748 PetscErrorCode MatMatMultNumeric_SeqDense_SeqAIJ(Mat A,Mat B,Mat C)
3749 {
3750   PetscErrorCode    ierr;
3751   Mat_SeqDense      *sub_a = (Mat_SeqDense*)A->data;
3752   Mat_SeqAIJ        *sub_b = (Mat_SeqAIJ*)B->data;
3753   Mat_SeqDense      *sub_c = (Mat_SeqDense*)C->data;
3754   PetscInt          i,n,m,q,p;
3755   const PetscInt    *ii,*idx;
3756   const PetscScalar *b,*a,*a_q;
3757   PetscScalar       *c,*c_q;
3758 
3759   PetscFunctionBegin;
3760   m    = A->rmap->n;
3761   n    = A->cmap->n;
3762   p    = B->cmap->n;
3763   a    = sub_a->v;
3764   b    = sub_b->a;
3765   c    = sub_c->v;
3766   ierr = PetscMemzero(c,m*p*sizeof(PetscScalar));CHKERRQ(ierr);
3767 
3768   ii  = sub_b->i;
3769   idx = sub_b->j;
3770   for (i=0; i<n; i++) {
3771     q = ii[i+1] - ii[i];
3772     while (q-->0) {
3773       c_q = c + m*(*idx);
3774       a_q = a + m*i;
3775       PetscKernelAXPY(c_q,*b,a_q,m);
3776       idx++;
3777       b++;
3778     }
3779   }
3780   PetscFunctionReturn(0);
3781 }
3782 
3783 PetscErrorCode MatMatMultSymbolic_SeqDense_SeqAIJ(Mat A,Mat B,PetscReal fill,Mat *C)
3784 {
3785   PetscErrorCode ierr;
3786   PetscInt       m=A->rmap->n,n=B->cmap->n;
3787   Mat            Cmat;
3788 
3789   PetscFunctionBegin;
3790   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);
3791   ierr = MatCreate(PetscObjectComm((PetscObject)A),&Cmat);CHKERRQ(ierr);
3792   ierr = MatSetSizes(Cmat,m,n,m,n);CHKERRQ(ierr);
3793   ierr = MatSetBlockSizesFromMats(Cmat,A,B);CHKERRQ(ierr);
3794   ierr = MatSetType(Cmat,MATSEQDENSE);CHKERRQ(ierr);
3795   ierr = MatSeqDenseSetPreallocation(Cmat,NULL);CHKERRQ(ierr);
3796 
3797   Cmat->ops->matmultnumeric = MatMatMultNumeric_SeqDense_SeqAIJ;
3798 
3799   *C = Cmat;
3800   PetscFunctionReturn(0);
3801 }
3802 
3803 /* ----------------------------------------------------------------*/
3804 PETSC_INTERN PetscErrorCode MatMatMult_SeqDense_SeqAIJ(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
3805 {
3806   PetscErrorCode ierr;
3807 
3808   PetscFunctionBegin;
3809   if (scall == MAT_INITIAL_MATRIX) {
3810     ierr = PetscLogEventBegin(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
3811     ierr = MatMatMultSymbolic_SeqDense_SeqAIJ(A,B,fill,C);CHKERRQ(ierr);
3812     ierr = PetscLogEventEnd(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
3813   }
3814   ierr = PetscLogEventBegin(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
3815   ierr = MatMatMultNumeric_SeqDense_SeqAIJ(A,B,*C);CHKERRQ(ierr);
3816   ierr = PetscLogEventEnd(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
3817   PetscFunctionReturn(0);
3818 }
3819 
3820 
3821 /*MC
3822    MATSEQAIJ - MATSEQAIJ = "seqaij" - A matrix type to be used for sequential sparse matrices,
3823    based on compressed sparse row format.
3824 
3825    Options Database Keys:
3826 . -mat_type seqaij - sets the matrix type to "seqaij" during a call to MatSetFromOptions()
3827 
3828   Level: beginner
3829 
3830 .seealso: MatCreateSeqAIJ(), MatSetFromOptions(), MatSetType(), MatCreate(), MatType
3831 M*/
3832 
3833 /*MC
3834    MATAIJ - MATAIJ = "aij" - A matrix type to be used for sparse matrices.
3835 
3836    This matrix type is identical to MATSEQAIJ when constructed with a single process communicator,
3837    and MATMPIAIJ otherwise.  As a result, for single process communicators,
3838   MatSeqAIJSetPreallocation is supported, and similarly MatMPIAIJSetPreallocation is supported
3839   for communicators controlling multiple processes.  It is recommended that you call both of
3840   the above preallocation routines for simplicity.
3841 
3842    Options Database Keys:
3843 . -mat_type aij - sets the matrix type to "aij" during a call to MatSetFromOptions()
3844 
3845   Developer Notes: Subclasses include MATAIJCUSP, MATAIJPERM, MATAIJMKL, MATAIJCRL, and also automatically switches over to use inodes when
3846    enough exist.
3847 
3848   Level: beginner
3849 
3850 .seealso: MatCreateAIJ(), MatCreateSeqAIJ(), MATSEQAIJ,MATMPIAIJ
3851 M*/
3852 
3853 /*MC
3854    MATAIJCRL - MATAIJCRL = "aijcrl" - A matrix type to be used for sparse matrices.
3855 
3856    This matrix type is identical to MATSEQAIJCRL when constructed with a single process communicator,
3857    and MATMPIAIJCRL otherwise.  As a result, for single process communicators,
3858    MatSeqAIJSetPreallocation() is supported, and similarly MatMPIAIJSetPreallocation() is supported
3859   for communicators controlling multiple processes.  It is recommended that you call both of
3860   the above preallocation routines for simplicity.
3861 
3862    Options Database Keys:
3863 . -mat_type aijcrl - sets the matrix type to "aijcrl" during a call to MatSetFromOptions()
3864 
3865   Level: beginner
3866 
3867 .seealso: MatCreateMPIAIJCRL,MATSEQAIJCRL,MATMPIAIJCRL, MATSEQAIJCRL, MATMPIAIJCRL
3868 M*/
3869 
3870 /*@C
3871    MatSeqAIJGetArray - gives access to the array where the data for a MATSEQAIJ matrix is stored
3872 
3873    Not Collective
3874 
3875    Input Parameter:
3876 .  mat - a MATSEQAIJ matrix
3877 
3878    Output Parameter:
3879 .   array - pointer to the data
3880 
3881    Level: intermediate
3882 
3883 .seealso: MatSeqAIJRestoreArray(), MatSeqAIJGetArrayF90()
3884 @*/
3885 PetscErrorCode  MatSeqAIJGetArray(Mat A,PetscScalar **array)
3886 {
3887   PetscErrorCode ierr;
3888 
3889   PetscFunctionBegin;
3890   ierr = PetscUseMethod(A,"MatSeqAIJGetArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
3891   PetscFunctionReturn(0);
3892 }
3893 
3894 /*@C
3895    MatSeqAIJGetMaxRowNonzeros - returns the maximum number of nonzeros in any row
3896 
3897    Not Collective
3898 
3899    Input Parameter:
3900 .  mat - a MATSEQAIJ matrix
3901 
3902    Output Parameter:
3903 .   nz - the maximum number of nonzeros in any row
3904 
3905    Level: intermediate
3906 
3907 .seealso: MatSeqAIJRestoreArray(), MatSeqAIJGetArrayF90()
3908 @*/
3909 PetscErrorCode  MatSeqAIJGetMaxRowNonzeros(Mat A,PetscInt *nz)
3910 {
3911   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)A->data;
3912 
3913   PetscFunctionBegin;
3914   *nz = aij->rmax;
3915   PetscFunctionReturn(0);
3916 }
3917 
3918 /*@C
3919    MatSeqAIJRestoreArray - returns access to the array where the data for a MATSEQAIJ matrix is stored obtained by MatSeqAIJGetArray()
3920 
3921    Not Collective
3922 
3923    Input Parameters:
3924 .  mat - a MATSEQAIJ matrix
3925 .  array - pointer to the data
3926 
3927    Level: intermediate
3928 
3929 .seealso: MatSeqAIJGetArray(), MatSeqAIJRestoreArrayF90()
3930 @*/
3931 PetscErrorCode  MatSeqAIJRestoreArray(Mat A,PetscScalar **array)
3932 {
3933   PetscErrorCode ierr;
3934 
3935   PetscFunctionBegin;
3936   ierr = PetscUseMethod(A,"MatSeqAIJRestoreArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
3937   PetscFunctionReturn(0);
3938 }
3939 
3940 PETSC_EXTERN PetscErrorCode MatCreate_SeqAIJ(Mat B)
3941 {
3942   Mat_SeqAIJ     *b;
3943   PetscErrorCode ierr;
3944   PetscMPIInt    size;
3945 
3946   PetscFunctionBegin;
3947   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&size);CHKERRQ(ierr);
3948   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Comm must be of size 1");
3949 
3950   ierr = PetscNewLog(B,&b);CHKERRQ(ierr);
3951 
3952   B->data = (void*)b;
3953 
3954   ierr = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
3955 
3956   b->row                = 0;
3957   b->col                = 0;
3958   b->icol               = 0;
3959   b->reallocs           = 0;
3960   b->ignorezeroentries  = PETSC_FALSE;
3961   b->roworiented        = PETSC_TRUE;
3962   b->nonew              = 0;
3963   b->diag               = 0;
3964   b->solve_work         = 0;
3965   B->spptr              = 0;
3966   b->saved_values       = 0;
3967   b->idiag              = 0;
3968   b->mdiag              = 0;
3969   b->ssor_work          = 0;
3970   b->omega              = 1.0;
3971   b->fshift             = 0.0;
3972   b->idiagvalid         = PETSC_FALSE;
3973   b->ibdiagvalid        = PETSC_FALSE;
3974   b->keepnonzeropattern = PETSC_FALSE;
3975 
3976   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
3977   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJGetArray_C",MatSeqAIJGetArray_SeqAIJ);CHKERRQ(ierr);
3978   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJRestoreArray_C",MatSeqAIJRestoreArray_SeqAIJ);CHKERRQ(ierr);
3979 
3980 #if defined(PETSC_HAVE_MATLAB_ENGINE)
3981   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEnginePut_C",MatlabEnginePut_SeqAIJ);CHKERRQ(ierr);
3982   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEngineGet_C",MatlabEngineGet_SeqAIJ);CHKERRQ(ierr);
3983 #endif
3984 
3985   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetColumnIndices_C",MatSeqAIJSetColumnIndices_SeqAIJ);CHKERRQ(ierr);
3986   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_SeqAIJ);CHKERRQ(ierr);
3987   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_SeqAIJ);CHKERRQ(ierr);
3988   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqsbaij_C",MatConvert_SeqAIJ_SeqSBAIJ);CHKERRQ(ierr);
3989   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqbaij_C",MatConvert_SeqAIJ_SeqBAIJ);CHKERRQ(ierr);
3990   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijperm_C",MatConvert_SeqAIJ_SeqAIJPERM);CHKERRQ(ierr);
3991 #if defined(PETSC_HAVE_MKL_SPARSE)
3992   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijmkl_C",MatConvert_SeqAIJ_SeqAIJMKL);CHKERRQ(ierr);
3993 #endif
3994   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijcrl_C",MatConvert_SeqAIJ_SeqAIJCRL);CHKERRQ(ierr);
3995 #if defined(PETSC_HAVE_ELEMENTAL)
3996   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_elemental_C",MatConvert_SeqAIJ_Elemental);CHKERRQ(ierr);
3997 #endif
3998 #if defined(PETSC_HAVE_HYPRE)
3999   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_hypre_C",MatConvert_AIJ_HYPRE);CHKERRQ(ierr);
4000   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMatMult_transpose_seqaij_seqaij_C",MatMatMatMult_Transpose_AIJ_AIJ);CHKERRQ(ierr);
4001 #endif
4002   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqdense_C",MatConvert_SeqAIJ_SeqDense);CHKERRQ(ierr);
4003   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4004   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsHermitianTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4005   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocation_C",MatSeqAIJSetPreallocation_SeqAIJ);CHKERRQ(ierr);
4006   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocationCSR_C",MatSeqAIJSetPreallocationCSR_SeqAIJ);CHKERRQ(ierr);
4007   ierr = PetscObjectComposeFunction((PetscObject)B,"MatReorderForNonzeroDiagonal_C",MatReorderForNonzeroDiagonal_SeqAIJ);CHKERRQ(ierr);
4008   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMult_seqdense_seqaij_C",MatMatMult_SeqDense_SeqAIJ);CHKERRQ(ierr);
4009   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultSymbolic_seqdense_seqaij_C",MatMatMultSymbolic_SeqDense_SeqAIJ);CHKERRQ(ierr);
4010   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultNumeric_seqdense_seqaij_C",MatMatMultNumeric_SeqDense_SeqAIJ);CHKERRQ(ierr);
4011   ierr = MatCreate_SeqAIJ_Inode(B);CHKERRQ(ierr);
4012   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
4013   ierr = MatSeqAIJSetTypeFromOptions(B);CHKERRQ(ierr);  /* this allows changing the matrix subtype to say MATSEQAIJPERM */
4014   PetscFunctionReturn(0);
4015 }
4016 
4017 /*
4018     Given a matrix generated with MatGetFactor() duplicates all the information in A into B
4019 */
4020 PetscErrorCode MatDuplicateNoCreate_SeqAIJ(Mat C,Mat A,MatDuplicateOption cpvalues,PetscBool mallocmatspace)
4021 {
4022   Mat_SeqAIJ     *c,*a = (Mat_SeqAIJ*)A->data;
4023   PetscErrorCode ierr;
4024   PetscInt       i,m = A->rmap->n;
4025 
4026   PetscFunctionBegin;
4027   c = (Mat_SeqAIJ*)C->data;
4028 
4029   C->factortype = A->factortype;
4030   c->row        = 0;
4031   c->col        = 0;
4032   c->icol       = 0;
4033   c->reallocs   = 0;
4034 
4035   C->assembled = PETSC_TRUE;
4036 
4037   ierr = PetscLayoutReference(A->rmap,&C->rmap);CHKERRQ(ierr);
4038   ierr = PetscLayoutReference(A->cmap,&C->cmap);CHKERRQ(ierr);
4039 
4040   ierr = PetscMalloc2(m,&c->imax,m,&c->ilen);CHKERRQ(ierr);
4041   ierr = PetscLogObjectMemory((PetscObject)C, 2*m*sizeof(PetscInt));CHKERRQ(ierr);
4042   for (i=0; i<m; i++) {
4043     c->imax[i] = a->imax[i];
4044     c->ilen[i] = a->ilen[i];
4045   }
4046 
4047   /* allocate the matrix space */
4048   if (mallocmatspace) {
4049     ierr = PetscMalloc3(a->i[m],&c->a,a->i[m],&c->j,m+1,&c->i);CHKERRQ(ierr);
4050     ierr = PetscLogObjectMemory((PetscObject)C, a->i[m]*(sizeof(PetscScalar)+sizeof(PetscInt))+(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4051 
4052     c->singlemalloc = PETSC_TRUE;
4053 
4054     ierr = PetscMemcpy(c->i,a->i,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4055     if (m > 0) {
4056       ierr = PetscMemcpy(c->j,a->j,(a->i[m])*sizeof(PetscInt));CHKERRQ(ierr);
4057       if (cpvalues == MAT_COPY_VALUES) {
4058         ierr = PetscMemcpy(c->a,a->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4059       } else {
4060         ierr = PetscMemzero(c->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4061       }
4062     }
4063   }
4064 
4065   c->ignorezeroentries = a->ignorezeroentries;
4066   c->roworiented       = a->roworiented;
4067   c->nonew             = a->nonew;
4068   if (a->diag) {
4069     ierr = PetscMalloc1(m+1,&c->diag);CHKERRQ(ierr);
4070     ierr = PetscLogObjectMemory((PetscObject)C,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4071     for (i=0; i<m; i++) {
4072       c->diag[i] = a->diag[i];
4073     }
4074   } else c->diag = 0;
4075 
4076   c->solve_work         = 0;
4077   c->saved_values       = 0;
4078   c->idiag              = 0;
4079   c->ssor_work          = 0;
4080   c->keepnonzeropattern = a->keepnonzeropattern;
4081   c->free_a             = PETSC_TRUE;
4082   c->free_ij            = PETSC_TRUE;
4083 
4084   c->rmax         = a->rmax;
4085   c->nz           = a->nz;
4086   c->maxnz        = a->nz;       /* Since we allocate exactly the right amount */
4087   C->preallocated = PETSC_TRUE;
4088 
4089   c->compressedrow.use   = a->compressedrow.use;
4090   c->compressedrow.nrows = a->compressedrow.nrows;
4091   if (a->compressedrow.use) {
4092     i    = a->compressedrow.nrows;
4093     ierr = PetscMalloc2(i+1,&c->compressedrow.i,i,&c->compressedrow.rindex);CHKERRQ(ierr);
4094     ierr = PetscMemcpy(c->compressedrow.i,a->compressedrow.i,(i+1)*sizeof(PetscInt));CHKERRQ(ierr);
4095     ierr = PetscMemcpy(c->compressedrow.rindex,a->compressedrow.rindex,i*sizeof(PetscInt));CHKERRQ(ierr);
4096   } else {
4097     c->compressedrow.use    = PETSC_FALSE;
4098     c->compressedrow.i      = NULL;
4099     c->compressedrow.rindex = NULL;
4100   }
4101   c->nonzerorowcnt = a->nonzerorowcnt;
4102   C->nonzerostate  = A->nonzerostate;
4103 
4104   ierr = MatDuplicate_SeqAIJ_Inode(A,cpvalues,&C);CHKERRQ(ierr);
4105   ierr = PetscFunctionListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
4106   PetscFunctionReturn(0);
4107 }
4108 
4109 PetscErrorCode MatDuplicate_SeqAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
4110 {
4111   PetscErrorCode ierr;
4112 
4113   PetscFunctionBegin;
4114   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
4115   ierr = MatSetSizes(*B,A->rmap->n,A->cmap->n,A->rmap->n,A->cmap->n);CHKERRQ(ierr);
4116   if (!(A->rmap->n % A->rmap->bs) && !(A->cmap->n % A->cmap->bs)) {
4117     ierr = MatSetBlockSizesFromMats(*B,A,A);CHKERRQ(ierr);
4118   }
4119   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
4120   ierr = MatDuplicateNoCreate_SeqAIJ(*B,A,cpvalues,PETSC_TRUE);CHKERRQ(ierr);
4121   PetscFunctionReturn(0);
4122 }
4123 
4124 PetscErrorCode MatLoad_SeqAIJ(Mat newMat, PetscViewer viewer)
4125 {
4126   Mat_SeqAIJ     *a;
4127   PetscErrorCode ierr;
4128   PetscInt       i,sum,nz,header[4],*rowlengths = 0,M,N,rows,cols;
4129   int            fd;
4130   PetscMPIInt    size;
4131   MPI_Comm       comm;
4132   PetscInt       bs = newMat->rmap->bs;
4133 
4134   PetscFunctionBegin;
4135   /* force binary viewer to load .info file if it has not yet done so */
4136   ierr = PetscViewerSetUp(viewer);CHKERRQ(ierr);
4137   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
4138   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4139   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"view must have one processor");
4140 
4141   ierr = PetscOptionsBegin(comm,NULL,"Options for loading SEQAIJ matrix","Mat");CHKERRQ(ierr);
4142   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
4143   ierr = PetscOptionsEnd();CHKERRQ(ierr);
4144   if (bs < 0) bs = 1;
4145   ierr = MatSetBlockSize(newMat,bs);CHKERRQ(ierr);
4146 
4147   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
4148   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
4149   if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object in file");
4150   M = header[1]; N = header[2]; nz = header[3];
4151 
4152   if (nz < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk,cannot load as SeqAIJ");
4153 
4154   /* read in row lengths */
4155   ierr = PetscMalloc1(M,&rowlengths);CHKERRQ(ierr);
4156   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
4157 
4158   /* check if sum of rowlengths is same as nz */
4159   for (i=0,sum=0; i< M; i++) sum +=rowlengths[i];
4160   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);
4161 
4162   /* set global size if not set already*/
4163   if (newMat->rmap->n < 0 && newMat->rmap->N < 0 && newMat->cmap->n < 0 && newMat->cmap->N < 0) {
4164     ierr = MatSetSizes(newMat,PETSC_DECIDE,PETSC_DECIDE,M,N);CHKERRQ(ierr);
4165   } else {
4166     /* if sizes and type are already set, check if the matrix  global sizes are correct */
4167     ierr = MatGetSize(newMat,&rows,&cols);CHKERRQ(ierr);
4168     if (rows < 0 && cols < 0) { /* user might provide local size instead of global size */
4169       ierr = MatGetLocalSize(newMat,&rows,&cols);CHKERRQ(ierr);
4170     }
4171     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);
4172   }
4173   ierr = MatSeqAIJSetPreallocation_SeqAIJ(newMat,0,rowlengths);CHKERRQ(ierr);
4174   a    = (Mat_SeqAIJ*)newMat->data;
4175 
4176   ierr = PetscBinaryRead(fd,a->j,nz,PETSC_INT);CHKERRQ(ierr);
4177 
4178   /* read in nonzero values */
4179   ierr = PetscBinaryRead(fd,a->a,nz,PETSC_SCALAR);CHKERRQ(ierr);
4180 
4181   /* set matrix "i" values */
4182   a->i[0] = 0;
4183   for (i=1; i<= M; i++) {
4184     a->i[i]      = a->i[i-1] + rowlengths[i-1];
4185     a->ilen[i-1] = rowlengths[i-1];
4186   }
4187   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
4188 
4189   ierr = MatAssemblyBegin(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4190   ierr = MatAssemblyEnd(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4191   PetscFunctionReturn(0);
4192 }
4193 
4194 PetscErrorCode MatEqual_SeqAIJ(Mat A,Mat B,PetscBool * flg)
4195 {
4196   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*b = (Mat_SeqAIJ*)B->data;
4197   PetscErrorCode ierr;
4198 #if defined(PETSC_USE_COMPLEX)
4199   PetscInt k;
4200 #endif
4201 
4202   PetscFunctionBegin;
4203   /* If the  matrix dimensions are not equal,or no of nonzeros */
4204   if ((A->rmap->n != B->rmap->n) || (A->cmap->n != B->cmap->n) ||(a->nz != b->nz)) {
4205     *flg = PETSC_FALSE;
4206     PetscFunctionReturn(0);
4207   }
4208 
4209   /* if the a->i are the same */
4210   ierr = PetscMemcmp(a->i,b->i,(A->rmap->n+1)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4211   if (!*flg) PetscFunctionReturn(0);
4212 
4213   /* if a->j are the same */
4214   ierr = PetscMemcmp(a->j,b->j,(a->nz)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4215   if (!*flg) PetscFunctionReturn(0);
4216 
4217   /* if a->a are the same */
4218 #if defined(PETSC_USE_COMPLEX)
4219   for (k=0; k<a->nz; k++) {
4220     if (PetscRealPart(a->a[k]) != PetscRealPart(b->a[k]) || PetscImaginaryPart(a->a[k]) != PetscImaginaryPart(b->a[k])) {
4221       *flg = PETSC_FALSE;
4222       PetscFunctionReturn(0);
4223     }
4224   }
4225 #else
4226   ierr = PetscMemcmp(a->a,b->a,(a->nz)*sizeof(PetscScalar),flg);CHKERRQ(ierr);
4227 #endif
4228   PetscFunctionReturn(0);
4229 }
4230 
4231 /*@
4232      MatCreateSeqAIJWithArrays - Creates an sequential AIJ matrix using matrix elements (in CSR format)
4233               provided by the user.
4234 
4235       Collective on MPI_Comm
4236 
4237    Input Parameters:
4238 +   comm - must be an MPI communicator of size 1
4239 .   m - number of rows
4240 .   n - number of columns
4241 .   i - row indices
4242 .   j - column indices
4243 -   a - matrix values
4244 
4245    Output Parameter:
4246 .   mat - the matrix
4247 
4248    Level: intermediate
4249 
4250    Notes:
4251        The i, j, and a arrays are not copied by this routine, the user must free these arrays
4252     once the matrix is destroyed and not before
4253 
4254        You cannot set new nonzero locations into this matrix, that will generate an error.
4255 
4256        The i and j indices are 0 based
4257 
4258        The format which is used for the sparse matrix input, is equivalent to a
4259     row-major ordering.. i.e for the following matrix, the input data expected is
4260     as shown
4261 
4262 $        1 0 0
4263 $        2 0 3
4264 $        4 5 6
4265 $
4266 $        i =  {0,1,3,6}  [size = nrow+1  = 3+1]
4267 $        j =  {0,0,2,0,1,2}  [size = 6]; values must be sorted for each row
4268 $        v =  {1,2,3,4,5,6}  [size = 6]
4269 
4270 
4271 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateMPIAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4272 
4273 @*/
4274 PetscErrorCode  MatCreateSeqAIJWithArrays(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt i[],PetscInt j[],PetscScalar a[],Mat *mat)
4275 {
4276   PetscErrorCode ierr;
4277   PetscInt       ii;
4278   Mat_SeqAIJ     *aij;
4279 #if defined(PETSC_USE_DEBUG)
4280   PetscInt jj;
4281 #endif
4282 
4283   PetscFunctionBegin;
4284   if (m > 0 && i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
4285   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4286   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4287   /* ierr = MatSetBlockSizes(*mat,,);CHKERRQ(ierr); */
4288   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4289   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
4290   aij  = (Mat_SeqAIJ*)(*mat)->data;
4291   ierr = PetscMalloc2(m,&aij->imax,m,&aij->ilen);CHKERRQ(ierr);
4292 
4293   aij->i            = i;
4294   aij->j            = j;
4295   aij->a            = a;
4296   aij->singlemalloc = PETSC_FALSE;
4297   aij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
4298   aij->free_a       = PETSC_FALSE;
4299   aij->free_ij      = PETSC_FALSE;
4300 
4301   for (ii=0; ii<m; ii++) {
4302     aij->ilen[ii] = aij->imax[ii] = i[ii+1] - i[ii];
4303 #if defined(PETSC_USE_DEBUG)
4304     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]);
4305     for (jj=i[ii]+1; jj<i[ii+1]; jj++) {
4306       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);
4307       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);
4308     }
4309 #endif
4310   }
4311 #if defined(PETSC_USE_DEBUG)
4312   for (ii=0; ii<aij->i[m]; ii++) {
4313     if (j[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %D index = %D",ii,j[ii]);
4314     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]);
4315   }
4316 #endif
4317 
4318   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4319   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4320   PetscFunctionReturn(0);
4321 }
4322 /*@C
4323      MatCreateSeqAIJFromTriple - Creates an sequential AIJ matrix using matrix elements (in COO format)
4324               provided by the user.
4325 
4326       Collective on MPI_Comm
4327 
4328    Input Parameters:
4329 +   comm - must be an MPI communicator of size 1
4330 .   m   - number of rows
4331 .   n   - number of columns
4332 .   i   - row indices
4333 .   j   - column indices
4334 .   a   - matrix values
4335 .   nz  - number of nonzeros
4336 -   idx - 0 or 1 based
4337 
4338    Output Parameter:
4339 .   mat - the matrix
4340 
4341    Level: intermediate
4342 
4343    Notes:
4344        The i and j indices are 0 based
4345 
4346        The format which is used for the sparse matrix input, is equivalent to a
4347     row-major ordering.. i.e for the following matrix, the input data expected is
4348     as shown:
4349 
4350         1 0 0
4351         2 0 3
4352         4 5 6
4353 
4354         i =  {0,1,1,2,2,2}
4355         j =  {0,0,2,0,1,2}
4356         v =  {1,2,3,4,5,6}
4357 
4358 
4359 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateSeqAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4360 
4361 @*/
4362 PetscErrorCode  MatCreateSeqAIJFromTriple(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt i[],PetscInt j[],PetscScalar a[],Mat *mat,PetscInt nz,PetscBool idx)
4363 {
4364   PetscErrorCode ierr;
4365   PetscInt       ii, *nnz, one = 1,row,col;
4366 
4367 
4368   PetscFunctionBegin;
4369   ierr = PetscCalloc1(m,&nnz);CHKERRQ(ierr);
4370   for (ii = 0; ii < nz; ii++) {
4371     nnz[i[ii] - !!idx] += 1;
4372   }
4373   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4374   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4375   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4376   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,0,nnz);CHKERRQ(ierr);
4377   for (ii = 0; ii < nz; ii++) {
4378     if (idx) {
4379       row = i[ii] - 1;
4380       col = j[ii] - 1;
4381     } else {
4382       row = i[ii];
4383       col = j[ii];
4384     }
4385     ierr = MatSetValues(*mat,one,&row,one,&col,&a[ii],ADD_VALUES);CHKERRQ(ierr);
4386   }
4387   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4388   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4389   ierr = PetscFree(nnz);CHKERRQ(ierr);
4390   PetscFunctionReturn(0);
4391 }
4392 
4393 PetscErrorCode MatSeqAIJInvalidateDiagonal(Mat A)
4394 {
4395   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data;
4396   PetscErrorCode ierr;
4397 
4398   PetscFunctionBegin;
4399   a->idiagvalid  = PETSC_FALSE;
4400   a->ibdiagvalid = PETSC_FALSE;
4401 
4402   ierr = MatSeqAIJInvalidateDiagonal_Inode(A);CHKERRQ(ierr);
4403   PetscFunctionReturn(0);
4404 }
4405 
4406 PetscErrorCode MatCreateMPIMatConcatenateSeqMat_SeqAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
4407 {
4408   PetscErrorCode ierr;
4409   PetscMPIInt    size;
4410 
4411   PetscFunctionBegin;
4412   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4413   if (size == 1) {
4414     if (scall == MAT_INITIAL_MATRIX) {
4415       ierr = MatDuplicate(inmat,MAT_COPY_VALUES,outmat);CHKERRQ(ierr);
4416     } else {
4417       ierr = MatCopy(inmat,*outmat,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
4418     }
4419   } else {
4420     ierr = MatCreateMPIMatConcatenateSeqMat_MPIAIJ(comm,inmat,n,scall,outmat);CHKERRQ(ierr);
4421   }
4422   PetscFunctionReturn(0);
4423 }
4424 
4425 /*
4426  Permute A into C's *local* index space using rowemb,colemb.
4427  The embedding are supposed to be injections and the above implies that the range of rowemb is a subset
4428  of [0,m), colemb is in [0,n).
4429  If pattern == DIFFERENT_NONZERO_PATTERN, C is preallocated according to A.
4430  */
4431 PetscErrorCode MatSetSeqMat_SeqAIJ(Mat C,IS rowemb,IS colemb,MatStructure pattern,Mat B)
4432 {
4433   /* If making this function public, change the error returned in this function away from _PLIB. */
4434   PetscErrorCode ierr;
4435   Mat_SeqAIJ     *Baij;
4436   PetscBool      seqaij;
4437   PetscInt       m,n,*nz,i,j,count;
4438   PetscScalar    v;
4439   const PetscInt *rowindices,*colindices;
4440 
4441   PetscFunctionBegin;
4442   if (!B) PetscFunctionReturn(0);
4443   /* Check to make sure the target matrix (and embeddings) are compatible with C and each other. */
4444   ierr = PetscObjectBaseTypeCompare((PetscObject)B,MATSEQAIJ,&seqaij);CHKERRQ(ierr);
4445   if (!seqaij) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is of wrong type");
4446   if (rowemb) {
4447     ierr = ISGetLocalSize(rowemb,&m);CHKERRQ(ierr);
4448     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);
4449   } else {
4450     if (C->rmap->n != B->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is row-incompatible with the target matrix");
4451   }
4452   if (colemb) {
4453     ierr = ISGetLocalSize(colemb,&n);CHKERRQ(ierr);
4454     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);
4455   } else {
4456     if (C->cmap->n != B->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is col-incompatible with the target matrix");
4457   }
4458 
4459   Baij = (Mat_SeqAIJ*)(B->data);
4460   if (pattern == DIFFERENT_NONZERO_PATTERN) {
4461     ierr = PetscMalloc1(B->rmap->n,&nz);CHKERRQ(ierr);
4462     for (i=0; i<B->rmap->n; i++) {
4463       nz[i] = Baij->i[i+1] - Baij->i[i];
4464     }
4465     ierr = MatSeqAIJSetPreallocation(C,0,nz);CHKERRQ(ierr);
4466     ierr = PetscFree(nz);CHKERRQ(ierr);
4467   }
4468   if (pattern == SUBSET_NONZERO_PATTERN) {
4469     ierr = MatZeroEntries(C);CHKERRQ(ierr);
4470   }
4471   count = 0;
4472   rowindices = NULL;
4473   colindices = NULL;
4474   if (rowemb) {
4475     ierr = ISGetIndices(rowemb,&rowindices);CHKERRQ(ierr);
4476   }
4477   if (colemb) {
4478     ierr = ISGetIndices(colemb,&colindices);CHKERRQ(ierr);
4479   }
4480   for (i=0; i<B->rmap->n; i++) {
4481     PetscInt row;
4482     row = i;
4483     if (rowindices) row = rowindices[i];
4484     for (j=Baij->i[i]; j<Baij->i[i+1]; j++) {
4485       PetscInt col;
4486       col  = Baij->j[count];
4487       if (colindices) col = colindices[col];
4488       v    = Baij->a[count];
4489       ierr = MatSetValues(C,1,&row,1,&col,&v,INSERT_VALUES);CHKERRQ(ierr);
4490       ++count;
4491     }
4492   }
4493   /* FIXME: set C's nonzerostate correctly. */
4494   /* Assembly for C is necessary. */
4495   C->preallocated = PETSC_TRUE;
4496   C->assembled     = PETSC_TRUE;
4497   C->was_assembled = PETSC_FALSE;
4498   PetscFunctionReturn(0);
4499 }
4500 
4501 PetscFunctionList MatSeqAIJList = NULL;
4502 
4503 /*@C
4504    MatSeqAIJSetType - Converts a MATSEQAIJ matrix to a subtype
4505 
4506    Collective on Mat
4507 
4508    Input Parameters:
4509 +  mat      - the matrix object
4510 -  matype   - matrix type
4511 
4512    Options Database Key:
4513 .  -mat_seqai_type  <method> - for example seqaijcrl
4514 
4515 
4516   Level: intermediate
4517 
4518 .keywords: Mat, MatType, set, method
4519 
4520 .seealso: PCSetType(), VecSetType(), MatCreate(), MatType, Mat
4521 @*/
4522 PetscErrorCode  MatSeqAIJSetType(Mat mat, MatType matype)
4523 {
4524   PetscErrorCode ierr,(*r)(Mat,const MatType,MatReuse,Mat*);
4525   PetscBool      sametype;
4526 
4527   PetscFunctionBegin;
4528   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
4529   ierr = PetscObjectTypeCompare((PetscObject)mat,matype,&sametype);CHKERRQ(ierr);
4530   if (sametype) PetscFunctionReturn(0);
4531 
4532   ierr =  PetscFunctionListFind(MatSeqAIJList,matype,&r);CHKERRQ(ierr);
4533   if (!r) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_UNKNOWN_TYPE,"Unknown Mat type given: %s",matype);
4534   ierr = (*r)(mat,matype,MAT_INPLACE_MATRIX,&mat);CHKERRQ(ierr);
4535   PetscFunctionReturn(0);
4536 }
4537 
4538 
4539 /*@C
4540   MatSeqAIJRegister -  - Adds a new sub-matrix type for sequential AIJ matrices
4541 
4542    Not Collective
4543 
4544    Input Parameters:
4545 +  name - name of a new user-defined matrix type, for example MATSEQAIJCRL
4546 -  function - routine to convert to subtype
4547 
4548    Notes:
4549    MatSeqAIJRegister() may be called multiple times to add several user-defined solvers.
4550 
4551 
4552    Then, your matrix can be chosen with the procedural interface at runtime via the option
4553 $     -mat_seqaij_type my_mat
4554 
4555    Level: advanced
4556 
4557 .keywords: Mat, register
4558 
4559 .seealso: MatSeqAIJRegisterAll()
4560 
4561 
4562   Level: advanced
4563 @*/
4564 PetscErrorCode  MatSeqAIJRegister(const char sname[],PetscErrorCode (*function)(Mat,MatType,MatReuse,Mat *))
4565 {
4566   PetscErrorCode ierr;
4567 
4568   PetscFunctionBegin;
4569   ierr = PetscFunctionListAdd(&MatSeqAIJList,sname,function);CHKERRQ(ierr);
4570   PetscFunctionReturn(0);
4571 }
4572 
4573 PetscBool MatSeqAIJRegisterAllCalled = PETSC_FALSE;
4574 
4575 /*@C
4576   MatSeqAIJRegisterAll - Registers all of the matrix subtypes of SeqAIJ
4577 
4578   Not Collective
4579 
4580   Level: advanced
4581 
4582   Developers Note: CUSP and CUSPARSE do not yet support the  MatConvert_SeqAIJ..() paradigm and thus cannot be registered here
4583 
4584 .keywords: KSP, register, all
4585 
4586 .seealso:  MatRegisterAll(), MatSeqAIJRegister()
4587 @*/
4588 PetscErrorCode  MatSeqAIJRegisterAll(void)
4589 {
4590   PetscErrorCode ierr;
4591 
4592   PetscFunctionBegin;
4593   if (MatSeqAIJRegisterAllCalled) PetscFunctionReturn(0);
4594   MatSeqAIJRegisterAllCalled = PETSC_TRUE;
4595 
4596   ierr = MatSeqAIJRegister(MATSEQAIJCRL,      MatConvert_SeqAIJ_SeqAIJCRL);CHKERRQ(ierr);
4597   ierr = MatSeqAIJRegister(MATSEQAIJPERM,     MatConvert_SeqAIJ_SeqAIJPERM);CHKERRQ(ierr);
4598 #if defined(PETSC_HAVE_MKL_SPARSE)
4599   ierr = MatSeqAIJRegister(MATSEQAIJMKL,      MatConvert_SeqAIJ_SeqAIJMKL);CHKERRQ(ierr);
4600 #endif
4601 #if defined(PETSC_HAVE_VIENNACL) && defined(PETSC_HAVE_VIENNACL_NO_CUDA)
4602   ierr = MatSeqAIJRegister(MATMPIAIJVIENNACL, MatConvert_SeqAIJ_SeqAIJViennaCL);CHKERRQ(ierr);
4603 #endif
4604   PetscFunctionReturn(0);
4605 }
4606 
4607 /*
4608     Special version for direct calls from Fortran
4609 */
4610 #include <petsc/private/fortranimpl.h>
4611 #if defined(PETSC_HAVE_FORTRAN_CAPS)
4612 #define matsetvaluesseqaij_ MATSETVALUESSEQAIJ
4613 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
4614 #define matsetvaluesseqaij_ matsetvaluesseqaij
4615 #endif
4616 
4617 /* Change these macros so can be used in void function */
4618 #undef CHKERRQ
4619 #define CHKERRQ(ierr) CHKERRABORT(PetscObjectComm((PetscObject)A),ierr)
4620 #undef SETERRQ2
4621 #define SETERRQ2(comm,ierr,b,c,d) CHKERRABORT(comm,ierr)
4622 #undef SETERRQ3
4623 #define SETERRQ3(comm,ierr,b,c,d,e) CHKERRABORT(comm,ierr)
4624 
4625 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)
4626 {
4627   Mat            A  = *AA;
4628   PetscInt       m  = *mm, n = *nn;
4629   InsertMode     is = *isis;
4630   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
4631   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
4632   PetscInt       *imax,*ai,*ailen;
4633   PetscErrorCode ierr;
4634   PetscInt       *aj,nonew = a->nonew,lastcol = -1;
4635   MatScalar      *ap,value,*aa;
4636   PetscBool      ignorezeroentries = a->ignorezeroentries;
4637   PetscBool      roworiented       = a->roworiented;
4638 
4639   PetscFunctionBegin;
4640   MatCheckPreallocated(A,1);
4641   imax  = a->imax;
4642   ai    = a->i;
4643   ailen = a->ilen;
4644   aj    = a->j;
4645   aa    = a->a;
4646 
4647   for (k=0; k<m; k++) { /* loop over added rows */
4648     row = im[k];
4649     if (row < 0) continue;
4650 #if defined(PETSC_USE_DEBUG)
4651     if (row >= A->rmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Row too large");
4652 #endif
4653     rp   = aj + ai[row]; ap = aa + ai[row];
4654     rmax = imax[row]; nrow = ailen[row];
4655     low  = 0;
4656     high = nrow;
4657     for (l=0; l<n; l++) { /* loop over added columns */
4658       if (in[l] < 0) continue;
4659 #if defined(PETSC_USE_DEBUG)
4660       if (in[l] >= A->cmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Column too large");
4661 #endif
4662       col = in[l];
4663       if (roworiented) value = v[l + k*n];
4664       else value = v[k + l*m];
4665 
4666       if (value == 0.0 && ignorezeroentries && (is == ADD_VALUES)) continue;
4667 
4668       if (col <= lastcol) low = 0;
4669       else high = nrow;
4670       lastcol = col;
4671       while (high-low > 5) {
4672         t = (low+high)/2;
4673         if (rp[t] > col) high = t;
4674         else             low  = t;
4675       }
4676       for (i=low; i<high; i++) {
4677         if (rp[i] > col) break;
4678         if (rp[i] == col) {
4679           if (is == ADD_VALUES) ap[i] += value;
4680           else                  ap[i] = value;
4681           goto noinsert;
4682         }
4683       }
4684       if (value == 0.0 && ignorezeroentries) goto noinsert;
4685       if (nonew == 1) goto noinsert;
4686       if (nonew == -1) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero in the matrix");
4687       MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
4688       N = nrow++ - 1; a->nz++; high++;
4689       /* shift up all the later entries in this row */
4690       for (ii=N; ii>=i; ii--) {
4691         rp[ii+1] = rp[ii];
4692         ap[ii+1] = ap[ii];
4693       }
4694       rp[i] = col;
4695       ap[i] = value;
4696       A->nonzerostate++;
4697 noinsert:;
4698       low = i + 1;
4699     }
4700     ailen[row] = nrow;
4701   }
4702   PetscFunctionReturnVoid();
4703 }
4704 
4705