xref: /petsc/src/mat/impls/aij/seq/aij.c (revision dc424cfae46ffd055acbb99fbc61fc85fc92f9ad)
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         } else 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       ierr = submatj->destroy(C);CHKERRQ(ierr);
2544       ierr = MatDestroySubMatrix_Private(submatj);CHKERRQ(ierr);
2545       ierr = PetscLayoutDestroy(&C->rmap);CHKERRQ(ierr);
2546       ierr = PetscLayoutDestroy(&C->cmap);CHKERRQ(ierr);
2547       ierr = PetscHeaderDestroy(&C);CHKERRQ(ierr);
2548     } else {
2549       ierr = MatDestroy(&C);CHKERRQ(ierr);
2550     }
2551   }
2552 
2553   ierr = PetscFree(*mat);CHKERRQ(ierr);
2554   PetscFunctionReturn(0);
2555 }
2556 
2557 PetscErrorCode MatCreateSubMatrices_SeqAIJ(Mat A,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
2558 {
2559   PetscErrorCode ierr;
2560   PetscInt       i;
2561 
2562   PetscFunctionBegin;
2563   if (scall == MAT_INITIAL_MATRIX) {
2564     ierr = PetscCalloc1(n+1,B);CHKERRQ(ierr);
2565   }
2566 
2567   for (i=0; i<n; i++) {
2568     ierr = MatCreateSubMatrix_SeqAIJ(A,irow[i],icol[i],PETSC_DECIDE,scall,&(*B)[i]);CHKERRQ(ierr);
2569   }
2570   PetscFunctionReturn(0);
2571 }
2572 
2573 PetscErrorCode MatIncreaseOverlap_SeqAIJ(Mat A,PetscInt is_max,IS is[],PetscInt ov)
2574 {
2575   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2576   PetscErrorCode ierr;
2577   PetscInt       row,i,j,k,l,m,n,*nidx,isz,val;
2578   const PetscInt *idx;
2579   PetscInt       start,end,*ai,*aj;
2580   PetscBT        table;
2581 
2582   PetscFunctionBegin;
2583   m  = A->rmap->n;
2584   ai = a->i;
2585   aj = a->j;
2586 
2587   if (ov < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"illegal negative overlap value used");
2588 
2589   ierr = PetscMalloc1(m+1,&nidx);CHKERRQ(ierr);
2590   ierr = PetscBTCreate(m,&table);CHKERRQ(ierr);
2591 
2592   for (i=0; i<is_max; i++) {
2593     /* Initialize the two local arrays */
2594     isz  = 0;
2595     ierr = PetscBTMemzero(m,table);CHKERRQ(ierr);
2596 
2597     /* Extract the indices, assume there can be duplicate entries */
2598     ierr = ISGetIndices(is[i],&idx);CHKERRQ(ierr);
2599     ierr = ISGetLocalSize(is[i],&n);CHKERRQ(ierr);
2600 
2601     /* Enter these into the temp arrays. I.e., mark table[row], enter row into new index */
2602     for (j=0; j<n; ++j) {
2603       if (!PetscBTLookupSet(table,idx[j])) nidx[isz++] = idx[j];
2604     }
2605     ierr = ISRestoreIndices(is[i],&idx);CHKERRQ(ierr);
2606     ierr = ISDestroy(&is[i]);CHKERRQ(ierr);
2607 
2608     k = 0;
2609     for (j=0; j<ov; j++) { /* for each overlap */
2610       n = isz;
2611       for (; k<n; k++) { /* do only those rows in nidx[k], which are not done yet */
2612         row   = nidx[k];
2613         start = ai[row];
2614         end   = ai[row+1];
2615         for (l = start; l<end; l++) {
2616           val = aj[l];
2617           if (!PetscBTLookupSet(table,val)) nidx[isz++] = val;
2618         }
2619       }
2620     }
2621     ierr = ISCreateGeneral(PETSC_COMM_SELF,isz,nidx,PETSC_COPY_VALUES,(is+i));CHKERRQ(ierr);
2622   }
2623   ierr = PetscBTDestroy(&table);CHKERRQ(ierr);
2624   ierr = PetscFree(nidx);CHKERRQ(ierr);
2625   PetscFunctionReturn(0);
2626 }
2627 
2628 /* -------------------------------------------------------------- */
2629 PetscErrorCode MatPermute_SeqAIJ(Mat A,IS rowp,IS colp,Mat *B)
2630 {
2631   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2632   PetscErrorCode ierr;
2633   PetscInt       i,nz = 0,m = A->rmap->n,n = A->cmap->n;
2634   const PetscInt *row,*col;
2635   PetscInt       *cnew,j,*lens;
2636   IS             icolp,irowp;
2637   PetscInt       *cwork = NULL;
2638   PetscScalar    *vwork = NULL;
2639 
2640   PetscFunctionBegin;
2641   ierr = ISInvertPermutation(rowp,PETSC_DECIDE,&irowp);CHKERRQ(ierr);
2642   ierr = ISGetIndices(irowp,&row);CHKERRQ(ierr);
2643   ierr = ISInvertPermutation(colp,PETSC_DECIDE,&icolp);CHKERRQ(ierr);
2644   ierr = ISGetIndices(icolp,&col);CHKERRQ(ierr);
2645 
2646   /* determine lengths of permuted rows */
2647   ierr = PetscMalloc1(m+1,&lens);CHKERRQ(ierr);
2648   for (i=0; i<m; i++) lens[row[i]] = a->i[i+1] - a->i[i];
2649   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
2650   ierr = MatSetSizes(*B,m,n,m,n);CHKERRQ(ierr);
2651   ierr = MatSetBlockSizesFromMats(*B,A,A);CHKERRQ(ierr);
2652   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2653   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*B,0,lens);CHKERRQ(ierr);
2654   ierr = PetscFree(lens);CHKERRQ(ierr);
2655 
2656   ierr = PetscMalloc1(n,&cnew);CHKERRQ(ierr);
2657   for (i=0; i<m; i++) {
2658     ierr = MatGetRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2659     for (j=0; j<nz; j++) cnew[j] = col[cwork[j]];
2660     ierr = MatSetValues_SeqAIJ(*B,1,&row[i],nz,cnew,vwork,INSERT_VALUES);CHKERRQ(ierr);
2661     ierr = MatRestoreRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2662   }
2663   ierr = PetscFree(cnew);CHKERRQ(ierr);
2664 
2665   (*B)->assembled = PETSC_FALSE;
2666 
2667   ierr = MatAssemblyBegin(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2668   ierr = MatAssemblyEnd(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2669   ierr = ISRestoreIndices(irowp,&row);CHKERRQ(ierr);
2670   ierr = ISRestoreIndices(icolp,&col);CHKERRQ(ierr);
2671   ierr = ISDestroy(&irowp);CHKERRQ(ierr);
2672   ierr = ISDestroy(&icolp);CHKERRQ(ierr);
2673   PetscFunctionReturn(0);
2674 }
2675 
2676 PetscErrorCode MatCopy_SeqAIJ(Mat A,Mat B,MatStructure str)
2677 {
2678   PetscErrorCode ierr;
2679 
2680   PetscFunctionBegin;
2681   /* If the two matrices have the same copy implementation, use fast copy. */
2682   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
2683     Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2684     Mat_SeqAIJ *b = (Mat_SeqAIJ*)B->data;
2685 
2686     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");
2687     ierr = PetscMemcpy(b->a,a->a,(a->i[A->rmap->n])*sizeof(PetscScalar));CHKERRQ(ierr);
2688     ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
2689   } else {
2690     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
2691   }
2692   PetscFunctionReturn(0);
2693 }
2694 
2695 PetscErrorCode MatSetUp_SeqAIJ(Mat A)
2696 {
2697   PetscErrorCode ierr;
2698 
2699   PetscFunctionBegin;
2700   ierr =  MatSeqAIJSetPreallocation_SeqAIJ(A,PETSC_DEFAULT,0);CHKERRQ(ierr);
2701   PetscFunctionReturn(0);
2702 }
2703 
2704 PetscErrorCode MatSeqAIJGetArray_SeqAIJ(Mat A,PetscScalar *array[])
2705 {
2706   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2707 
2708   PetscFunctionBegin;
2709   *array = a->a;
2710   PetscFunctionReturn(0);
2711 }
2712 
2713 PetscErrorCode MatSeqAIJRestoreArray_SeqAIJ(Mat A,PetscScalar *array[])
2714 {
2715   PetscFunctionBegin;
2716   PetscFunctionReturn(0);
2717 }
2718 
2719 /*
2720    Computes the number of nonzeros per row needed for preallocation when X and Y
2721    have different nonzero structure.
2722 */
2723 PetscErrorCode MatAXPYGetPreallocation_SeqX_private(PetscInt m,const PetscInt *xi,const PetscInt *xj,const PetscInt *yi,const PetscInt *yj,PetscInt *nnz)
2724 {
2725   PetscInt       i,j,k,nzx,nzy;
2726 
2727   PetscFunctionBegin;
2728   /* Set the number of nonzeros in the new matrix */
2729   for (i=0; i<m; i++) {
2730     const PetscInt *xjj = xj+xi[i],*yjj = yj+yi[i];
2731     nzx = xi[i+1] - xi[i];
2732     nzy = yi[i+1] - yi[i];
2733     nnz[i] = 0;
2734     for (j=0,k=0; j<nzx; j++) {                   /* Point in X */
2735       for (; k<nzy && yjj[k]<xjj[j]; k++) nnz[i]++; /* Catch up to X */
2736       if (k<nzy && yjj[k]==xjj[j]) k++;             /* Skip duplicate */
2737       nnz[i]++;
2738     }
2739     for (; k<nzy; k++) nnz[i]++;
2740   }
2741   PetscFunctionReturn(0);
2742 }
2743 
2744 PetscErrorCode MatAXPYGetPreallocation_SeqAIJ(Mat Y,Mat X,PetscInt *nnz)
2745 {
2746   PetscInt       m = Y->rmap->N;
2747   Mat_SeqAIJ     *x = (Mat_SeqAIJ*)X->data;
2748   Mat_SeqAIJ     *y = (Mat_SeqAIJ*)Y->data;
2749   PetscErrorCode ierr;
2750 
2751   PetscFunctionBegin;
2752   /* Set the number of nonzeros in the new matrix */
2753   ierr = MatAXPYGetPreallocation_SeqX_private(m,x->i,x->j,y->i,y->j,nnz);CHKERRQ(ierr);
2754   PetscFunctionReturn(0);
2755 }
2756 
2757 PetscErrorCode MatAXPY_SeqAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
2758 {
2759   PetscErrorCode ierr;
2760   Mat_SeqAIJ     *x = (Mat_SeqAIJ*)X->data,*y = (Mat_SeqAIJ*)Y->data;
2761   PetscBLASInt   one=1,bnz;
2762 
2763   PetscFunctionBegin;
2764   ierr = PetscBLASIntCast(x->nz,&bnz);CHKERRQ(ierr);
2765   if (str == SAME_NONZERO_PATTERN) {
2766     PetscScalar alpha = a;
2767     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
2768     ierr = MatSeqAIJInvalidateDiagonal(Y);CHKERRQ(ierr);
2769     ierr = PetscObjectStateIncrease((PetscObject)Y);CHKERRQ(ierr);
2770   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
2771     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
2772   } else {
2773     Mat      B;
2774     PetscInt *nnz;
2775     ierr = PetscMalloc1(Y->rmap->N,&nnz);CHKERRQ(ierr);
2776     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
2777     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
2778     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
2779     ierr = MatSetBlockSizesFromMats(B,Y,Y);CHKERRQ(ierr);
2780     ierr = MatSetType(B,(MatType) ((PetscObject)Y)->type_name);CHKERRQ(ierr);
2781     ierr = MatAXPYGetPreallocation_SeqAIJ(Y,X,nnz);CHKERRQ(ierr);
2782     ierr = MatSeqAIJSetPreallocation(B,0,nnz);CHKERRQ(ierr);
2783     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
2784     ierr = MatHeaderReplace(Y,&B);CHKERRQ(ierr);
2785     ierr = PetscFree(nnz);CHKERRQ(ierr);
2786   }
2787   PetscFunctionReturn(0);
2788 }
2789 
2790 PetscErrorCode  MatConjugate_SeqAIJ(Mat mat)
2791 {
2792 #if defined(PETSC_USE_COMPLEX)
2793   Mat_SeqAIJ  *aij = (Mat_SeqAIJ*)mat->data;
2794   PetscInt    i,nz;
2795   PetscScalar *a;
2796 
2797   PetscFunctionBegin;
2798   nz = aij->nz;
2799   a  = aij->a;
2800   for (i=0; i<nz; i++) a[i] = PetscConj(a[i]);
2801 #else
2802   PetscFunctionBegin;
2803 #endif
2804   PetscFunctionReturn(0);
2805 }
2806 
2807 PetscErrorCode MatGetRowMaxAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2808 {
2809   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2810   PetscErrorCode ierr;
2811   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2812   PetscReal      atmp;
2813   PetscScalar    *x;
2814   MatScalar      *aa;
2815 
2816   PetscFunctionBegin;
2817   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2818   aa = a->a;
2819   ai = a->i;
2820   aj = a->j;
2821 
2822   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2823   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2824   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2825   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2826   for (i=0; i<m; i++) {
2827     ncols = ai[1] - ai[0]; ai++;
2828     x[i]  = 0.0;
2829     for (j=0; j<ncols; j++) {
2830       atmp = PetscAbsScalar(*aa);
2831       if (PetscAbsScalar(x[i]) < atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
2832       aa++; aj++;
2833     }
2834   }
2835   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2836   PetscFunctionReturn(0);
2837 }
2838 
2839 PetscErrorCode MatGetRowMax_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2840 {
2841   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2842   PetscErrorCode ierr;
2843   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2844   PetscScalar    *x;
2845   MatScalar      *aa;
2846 
2847   PetscFunctionBegin;
2848   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2849   aa = a->a;
2850   ai = a->i;
2851   aj = a->j;
2852 
2853   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2854   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2855   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2856   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2857   for (i=0; i<m; i++) {
2858     ncols = ai[1] - ai[0]; ai++;
2859     if (ncols == A->cmap->n) { /* row is dense */
2860       x[i] = *aa; if (idx) idx[i] = 0;
2861     } else {  /* row is sparse so already KNOW maximum is 0.0 or higher */
2862       x[i] = 0.0;
2863       if (idx) {
2864         idx[i] = 0; /* in case ncols is zero */
2865         for (j=0;j<ncols;j++) { /* find first implicit 0.0 in the row */
2866           if (aj[j] > j) {
2867             idx[i] = j;
2868             break;
2869           }
2870         }
2871       }
2872     }
2873     for (j=0; j<ncols; j++) {
2874       if (PetscRealPart(x[i]) < PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
2875       aa++; aj++;
2876     }
2877   }
2878   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2879   PetscFunctionReturn(0);
2880 }
2881 
2882 PetscErrorCode MatGetRowMinAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2883 {
2884   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2885   PetscErrorCode ierr;
2886   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2887   PetscReal      atmp;
2888   PetscScalar    *x;
2889   MatScalar      *aa;
2890 
2891   PetscFunctionBegin;
2892   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2893   aa = a->a;
2894   ai = a->i;
2895   aj = a->j;
2896 
2897   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2898   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2899   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2900   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);
2901   for (i=0; i<m; i++) {
2902     ncols = ai[1] - ai[0]; ai++;
2903     if (ncols) {
2904       /* Get first nonzero */
2905       for (j = 0; j < ncols; j++) {
2906         atmp = PetscAbsScalar(aa[j]);
2907         if (atmp > 1.0e-12) {
2908           x[i] = atmp;
2909           if (idx) idx[i] = aj[j];
2910           break;
2911         }
2912       }
2913       if (j == ncols) {x[i] = PetscAbsScalar(*aa); if (idx) idx[i] = *aj;}
2914     } else {
2915       x[i] = 0.0; if (idx) idx[i] = 0;
2916     }
2917     for (j = 0; j < ncols; j++) {
2918       atmp = PetscAbsScalar(*aa);
2919       if (atmp > 1.0e-12 && PetscAbsScalar(x[i]) > atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
2920       aa++; aj++;
2921     }
2922   }
2923   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2924   PetscFunctionReturn(0);
2925 }
2926 
2927 PetscErrorCode MatGetRowMin_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2928 {
2929   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
2930   PetscErrorCode  ierr;
2931   PetscInt        i,j,m = A->rmap->n,ncols,n;
2932   const PetscInt  *ai,*aj;
2933   PetscScalar     *x;
2934   const MatScalar *aa;
2935 
2936   PetscFunctionBegin;
2937   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2938   aa = a->a;
2939   ai = a->i;
2940   aj = a->j;
2941 
2942   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2943   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2944   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2945   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2946   for (i=0; i<m; i++) {
2947     ncols = ai[1] - ai[0]; ai++;
2948     if (ncols == A->cmap->n) { /* row is dense */
2949       x[i] = *aa; if (idx) idx[i] = 0;
2950     } else {  /* row is sparse so already KNOW minimum is 0.0 or lower */
2951       x[i] = 0.0;
2952       if (idx) {   /* find first implicit 0.0 in the row */
2953         idx[i] = 0; /* in case ncols is zero */
2954         for (j=0; j<ncols; j++) {
2955           if (aj[j] > j) {
2956             idx[i] = j;
2957             break;
2958           }
2959         }
2960       }
2961     }
2962     for (j=0; j<ncols; j++) {
2963       if (PetscRealPart(x[i]) > PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
2964       aa++; aj++;
2965     }
2966   }
2967   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2968   PetscFunctionReturn(0);
2969 }
2970 
2971 #include <petscblaslapack.h>
2972 #include <petsc/private/kernels/blockinvert.h>
2973 
2974 PetscErrorCode MatInvertBlockDiagonal_SeqAIJ(Mat A,const PetscScalar **values)
2975 {
2976   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
2977   PetscErrorCode ierr;
2978   PetscInt       i,bs = PetscAbs(A->rmap->bs),mbs = A->rmap->n/bs,ipvt[5],bs2 = bs*bs,*v_pivots,ij[7],*IJ,j;
2979   MatScalar      *diag,work[25],*v_work;
2980   PetscReal      shift = 0.0;
2981   PetscBool      allowzeropivot,zeropivotdetected=PETSC_FALSE;
2982 
2983   PetscFunctionBegin;
2984   allowzeropivot = PetscNot(A->erroriffailure);
2985   if (a->ibdiagvalid) {
2986     if (values) *values = a->ibdiag;
2987     PetscFunctionReturn(0);
2988   }
2989   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
2990   if (!a->ibdiag) {
2991     ierr = PetscMalloc1(bs2*mbs,&a->ibdiag);CHKERRQ(ierr);
2992     ierr = PetscLogObjectMemory((PetscObject)A,bs2*mbs*sizeof(PetscScalar));CHKERRQ(ierr);
2993   }
2994   diag = a->ibdiag;
2995   if (values) *values = a->ibdiag;
2996   /* factor and invert each block */
2997   switch (bs) {
2998   case 1:
2999     for (i=0; i<mbs; i++) {
3000       ierr    = MatGetValues(A,1,&i,1,&i,diag+i);CHKERRQ(ierr);
3001       if (PetscAbsScalar(diag[i] + shift) < PETSC_MACHINE_EPSILON) {
3002         if (allowzeropivot) {
3003           A->factorerrortype             = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3004           A->factorerror_zeropivot_value = PetscAbsScalar(diag[i]);
3005           A->factorerror_zeropivot_row   = i;
3006           ierr = PetscInfo3(A,"Zero pivot, row %D pivot %g tolerance %g\n",i,(double)PetscAbsScalar(diag[i]),(double)PETSC_MACHINE_EPSILON);CHKERRQ(ierr);
3007         } 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);
3008       }
3009       diag[i] = (PetscScalar)1.0 / (diag[i] + shift);
3010     }
3011     break;
3012   case 2:
3013     for (i=0; i<mbs; i++) {
3014       ij[0] = 2*i; ij[1] = 2*i + 1;
3015       ierr  = MatGetValues(A,2,ij,2,ij,diag);CHKERRQ(ierr);
3016       ierr  = PetscKernel_A_gets_inverse_A_2(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3017       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3018       ierr  = PetscKernel_A_gets_transpose_A_2(diag);CHKERRQ(ierr);
3019       diag += 4;
3020     }
3021     break;
3022   case 3:
3023     for (i=0; i<mbs; i++) {
3024       ij[0] = 3*i; ij[1] = 3*i + 1; ij[2] = 3*i + 2;
3025       ierr  = MatGetValues(A,3,ij,3,ij,diag);CHKERRQ(ierr);
3026       ierr  = PetscKernel_A_gets_inverse_A_3(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3027       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3028       ierr  = PetscKernel_A_gets_transpose_A_3(diag);CHKERRQ(ierr);
3029       diag += 9;
3030     }
3031     break;
3032   case 4:
3033     for (i=0; i<mbs; i++) {
3034       ij[0] = 4*i; ij[1] = 4*i + 1; ij[2] = 4*i + 2; ij[3] = 4*i + 3;
3035       ierr  = MatGetValues(A,4,ij,4,ij,diag);CHKERRQ(ierr);
3036       ierr  = PetscKernel_A_gets_inverse_A_4(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3037       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3038       ierr  = PetscKernel_A_gets_transpose_A_4(diag);CHKERRQ(ierr);
3039       diag += 16;
3040     }
3041     break;
3042   case 5:
3043     for (i=0; i<mbs; i++) {
3044       ij[0] = 5*i; ij[1] = 5*i + 1; ij[2] = 5*i + 2; ij[3] = 5*i + 3; ij[4] = 5*i + 4;
3045       ierr  = MatGetValues(A,5,ij,5,ij,diag);CHKERRQ(ierr);
3046       ierr  = PetscKernel_A_gets_inverse_A_5(diag,ipvt,work,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3047       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3048       ierr  = PetscKernel_A_gets_transpose_A_5(diag);CHKERRQ(ierr);
3049       diag += 25;
3050     }
3051     break;
3052   case 6:
3053     for (i=0; i<mbs; i++) {
3054       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;
3055       ierr  = MatGetValues(A,6,ij,6,ij,diag);CHKERRQ(ierr);
3056       ierr  = PetscKernel_A_gets_inverse_A_6(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3057       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3058       ierr  = PetscKernel_A_gets_transpose_A_6(diag);CHKERRQ(ierr);
3059       diag += 36;
3060     }
3061     break;
3062   case 7:
3063     for (i=0; i<mbs; i++) {
3064       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;
3065       ierr  = MatGetValues(A,7,ij,7,ij,diag);CHKERRQ(ierr);
3066       ierr  = PetscKernel_A_gets_inverse_A_7(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3067       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3068       ierr  = PetscKernel_A_gets_transpose_A_7(diag);CHKERRQ(ierr);
3069       diag += 49;
3070     }
3071     break;
3072   default:
3073     ierr = PetscMalloc3(bs,&v_work,bs,&v_pivots,bs,&IJ);CHKERRQ(ierr);
3074     for (i=0; i<mbs; i++) {
3075       for (j=0; j<bs; j++) {
3076         IJ[j] = bs*i + j;
3077       }
3078       ierr  = MatGetValues(A,bs,IJ,bs,IJ,diag);CHKERRQ(ierr);
3079       ierr  = PetscKernel_A_gets_inverse_A(bs,diag,v_pivots,v_work,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3080       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3081       ierr  = PetscKernel_A_gets_transpose_A_N(diag,bs);CHKERRQ(ierr);
3082       diag += bs2;
3083     }
3084     ierr = PetscFree3(v_work,v_pivots,IJ);CHKERRQ(ierr);
3085   }
3086   a->ibdiagvalid = PETSC_TRUE;
3087   PetscFunctionReturn(0);
3088 }
3089 
3090 static PetscErrorCode  MatSetRandom_SeqAIJ(Mat x,PetscRandom rctx)
3091 {
3092   PetscErrorCode ierr;
3093   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)x->data;
3094   PetscScalar    a;
3095   PetscInt       m,n,i,j,col;
3096 
3097   PetscFunctionBegin;
3098   if (!x->assembled) {
3099     ierr = MatGetSize(x,&m,&n);CHKERRQ(ierr);
3100     for (i=0; i<m; i++) {
3101       for (j=0; j<aij->imax[i]; j++) {
3102         ierr = PetscRandomGetValue(rctx,&a);CHKERRQ(ierr);
3103         col  = (PetscInt)(n*PetscRealPart(a));
3104         ierr = MatSetValues(x,1,&i,1,&col,&a,ADD_VALUES);CHKERRQ(ierr);
3105       }
3106     }
3107   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet coded");
3108   ierr = MatAssemblyBegin(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3109   ierr = MatAssemblyEnd(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3110   PetscFunctionReturn(0);
3111 }
3112 
3113 PetscErrorCode MatShift_SeqAIJ(Mat Y,PetscScalar a)
3114 {
3115   PetscErrorCode ierr;
3116   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)Y->data;
3117 
3118   PetscFunctionBegin;
3119   if (!Y->preallocated || !aij->nz) {
3120     ierr = MatSeqAIJSetPreallocation(Y,1,NULL);CHKERRQ(ierr);
3121   }
3122   ierr = MatShift_Basic(Y,a);CHKERRQ(ierr);
3123   PetscFunctionReturn(0);
3124 }
3125 
3126 /* -------------------------------------------------------------------*/
3127 static struct _MatOps MatOps_Values = { MatSetValues_SeqAIJ,
3128                                         MatGetRow_SeqAIJ,
3129                                         MatRestoreRow_SeqAIJ,
3130                                         MatMult_SeqAIJ,
3131                                 /*  4*/ MatMultAdd_SeqAIJ,
3132                                         MatMultTranspose_SeqAIJ,
3133                                         MatMultTransposeAdd_SeqAIJ,
3134                                         0,
3135                                         0,
3136                                         0,
3137                                 /* 10*/ 0,
3138                                         MatLUFactor_SeqAIJ,
3139                                         0,
3140                                         MatSOR_SeqAIJ,
3141                                         MatTranspose_SeqAIJ,
3142                                 /*1 5*/ MatGetInfo_SeqAIJ,
3143                                         MatEqual_SeqAIJ,
3144                                         MatGetDiagonal_SeqAIJ,
3145                                         MatDiagonalScale_SeqAIJ,
3146                                         MatNorm_SeqAIJ,
3147                                 /* 20*/ 0,
3148                                         MatAssemblyEnd_SeqAIJ,
3149                                         MatSetOption_SeqAIJ,
3150                                         MatZeroEntries_SeqAIJ,
3151                                 /* 24*/ MatZeroRows_SeqAIJ,
3152                                         0,
3153                                         0,
3154                                         0,
3155                                         0,
3156                                 /* 29*/ MatSetUp_SeqAIJ,
3157                                         0,
3158                                         0,
3159                                         0,
3160                                         0,
3161                                 /* 34*/ MatDuplicate_SeqAIJ,
3162                                         0,
3163                                         0,
3164                                         MatILUFactor_SeqAIJ,
3165                                         0,
3166                                 /* 39*/ MatAXPY_SeqAIJ,
3167                                         MatCreateSubMatrices_SeqAIJ,
3168                                         MatIncreaseOverlap_SeqAIJ,
3169                                         MatGetValues_SeqAIJ,
3170                                         MatCopy_SeqAIJ,
3171                                 /* 44*/ MatGetRowMax_SeqAIJ,
3172                                         MatScale_SeqAIJ,
3173                                         MatShift_SeqAIJ,
3174                                         MatDiagonalSet_SeqAIJ,
3175                                         MatZeroRowsColumns_SeqAIJ,
3176                                 /* 49*/ MatSetRandom_SeqAIJ,
3177                                         MatGetRowIJ_SeqAIJ,
3178                                         MatRestoreRowIJ_SeqAIJ,
3179                                         MatGetColumnIJ_SeqAIJ,
3180                                         MatRestoreColumnIJ_SeqAIJ,
3181                                 /* 54*/ MatFDColoringCreate_SeqXAIJ,
3182                                         0,
3183                                         0,
3184                                         MatPermute_SeqAIJ,
3185                                         0,
3186                                 /* 59*/ 0,
3187                                         MatDestroy_SeqAIJ,
3188                                         MatView_SeqAIJ,
3189                                         0,
3190                                         MatMatMatMult_SeqAIJ_SeqAIJ_SeqAIJ,
3191                                 /* 64*/ MatMatMatMultSymbolic_SeqAIJ_SeqAIJ_SeqAIJ,
3192                                         MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqAIJ,
3193                                         0,
3194                                         0,
3195                                         0,
3196                                 /* 69*/ MatGetRowMaxAbs_SeqAIJ,
3197                                         MatGetRowMinAbs_SeqAIJ,
3198                                         0,
3199                                         0,
3200                                         0,
3201                                 /* 74*/ 0,
3202                                         MatFDColoringApply_AIJ,
3203                                         0,
3204                                         0,
3205                                         0,
3206                                 /* 79*/ MatFindZeroDiagonals_SeqAIJ,
3207                                         0,
3208                                         0,
3209                                         0,
3210                                         MatLoad_SeqAIJ,
3211                                 /* 84*/ MatIsSymmetric_SeqAIJ,
3212                                         MatIsHermitian_SeqAIJ,
3213                                         0,
3214                                         0,
3215                                         0,
3216                                 /* 89*/ MatMatMult_SeqAIJ_SeqAIJ,
3217                                         MatMatMultSymbolic_SeqAIJ_SeqAIJ,
3218                                         MatMatMultNumeric_SeqAIJ_SeqAIJ,
3219                                         MatPtAP_SeqAIJ_SeqAIJ,
3220                                         MatPtAPSymbolic_SeqAIJ_SeqAIJ_SparseAxpy,
3221                                 /* 94*/ MatPtAPNumeric_SeqAIJ_SeqAIJ_SparseAxpy,
3222                                         MatMatTransposeMult_SeqAIJ_SeqAIJ,
3223                                         MatMatTransposeMultSymbolic_SeqAIJ_SeqAIJ,
3224                                         MatMatTransposeMultNumeric_SeqAIJ_SeqAIJ,
3225                                         0,
3226                                 /* 99*/ 0,
3227                                         0,
3228                                         0,
3229                                         MatConjugate_SeqAIJ,
3230                                         0,
3231                                 /*104*/ MatSetValuesRow_SeqAIJ,
3232                                         MatRealPart_SeqAIJ,
3233                                         MatImaginaryPart_SeqAIJ,
3234                                         0,
3235                                         0,
3236                                 /*109*/ MatMatSolve_SeqAIJ,
3237                                         0,
3238                                         MatGetRowMin_SeqAIJ,
3239                                         0,
3240                                         MatMissingDiagonal_SeqAIJ,
3241                                 /*114*/ 0,
3242                                         0,
3243                                         0,
3244                                         0,
3245                                         0,
3246                                 /*119*/ 0,
3247                                         0,
3248                                         0,
3249                                         0,
3250                                         MatGetMultiProcBlock_SeqAIJ,
3251                                 /*124*/ MatFindNonzeroRows_SeqAIJ,
3252                                         MatGetColumnNorms_SeqAIJ,
3253                                         MatInvertBlockDiagonal_SeqAIJ,
3254                                         0,
3255                                         0,
3256                                 /*129*/ 0,
3257                                         MatTransposeMatMult_SeqAIJ_SeqAIJ,
3258                                         MatTransposeMatMultSymbolic_SeqAIJ_SeqAIJ,
3259                                         MatTransposeMatMultNumeric_SeqAIJ_SeqAIJ,
3260                                         MatTransposeColoringCreate_SeqAIJ,
3261                                 /*134*/ MatTransColoringApplySpToDen_SeqAIJ,
3262                                         MatTransColoringApplyDenToSp_SeqAIJ,
3263                                         MatRARt_SeqAIJ_SeqAIJ,
3264                                         MatRARtSymbolic_SeqAIJ_SeqAIJ,
3265                                         MatRARtNumeric_SeqAIJ_SeqAIJ,
3266                                  /*139*/0,
3267                                         0,
3268                                         0,
3269                                         MatFDColoringSetUp_SeqXAIJ,
3270                                         MatFindOffBlockDiagonalEntries_SeqAIJ,
3271                                  /*144*/MatCreateMPIMatConcatenateSeqMat_SeqAIJ,
3272                                         MatDestroySubMatrices_SeqAIJ
3273 };
3274 
3275 PetscErrorCode  MatSeqAIJSetColumnIndices_SeqAIJ(Mat mat,PetscInt *indices)
3276 {
3277   Mat_SeqAIJ *aij = (Mat_SeqAIJ*)mat->data;
3278   PetscInt   i,nz,n;
3279 
3280   PetscFunctionBegin;
3281   nz = aij->maxnz;
3282   n  = mat->rmap->n;
3283   for (i=0; i<nz; i++) {
3284     aij->j[i] = indices[i];
3285   }
3286   aij->nz = nz;
3287   for (i=0; i<n; i++) {
3288     aij->ilen[i] = aij->imax[i];
3289   }
3290   PetscFunctionReturn(0);
3291 }
3292 
3293 /*@
3294     MatSeqAIJSetColumnIndices - Set the column indices for all the rows
3295        in the matrix.
3296 
3297   Input Parameters:
3298 +  mat - the SeqAIJ matrix
3299 -  indices - the column indices
3300 
3301   Level: advanced
3302 
3303   Notes:
3304     This can be called if you have precomputed the nonzero structure of the
3305   matrix and want to provide it to the matrix object to improve the performance
3306   of the MatSetValues() operation.
3307 
3308     You MUST have set the correct numbers of nonzeros per row in the call to
3309   MatCreateSeqAIJ(), and the columns indices MUST be sorted.
3310 
3311     MUST be called before any calls to MatSetValues();
3312 
3313     The indices should start with zero, not one.
3314 
3315 @*/
3316 PetscErrorCode  MatSeqAIJSetColumnIndices(Mat mat,PetscInt *indices)
3317 {
3318   PetscErrorCode ierr;
3319 
3320   PetscFunctionBegin;
3321   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3322   PetscValidPointer(indices,2);
3323   ierr = PetscUseMethod(mat,"MatSeqAIJSetColumnIndices_C",(Mat,PetscInt*),(mat,indices));CHKERRQ(ierr);
3324   PetscFunctionReturn(0);
3325 }
3326 
3327 /* ----------------------------------------------------------------------------------------*/
3328 
3329 PetscErrorCode  MatStoreValues_SeqAIJ(Mat mat)
3330 {
3331   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3332   PetscErrorCode ierr;
3333   size_t         nz = aij->i[mat->rmap->n];
3334 
3335   PetscFunctionBegin;
3336   if (!aij->nonew) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3337 
3338   /* allocate space for values if not already there */
3339   if (!aij->saved_values) {
3340     ierr = PetscMalloc1(nz+1,&aij->saved_values);CHKERRQ(ierr);
3341     ierr = PetscLogObjectMemory((PetscObject)mat,(nz+1)*sizeof(PetscScalar));CHKERRQ(ierr);
3342   }
3343 
3344   /* copy values over */
3345   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3346   PetscFunctionReturn(0);
3347 }
3348 
3349 /*@
3350     MatStoreValues - Stashes a copy of the matrix values; this allows, for
3351        example, reuse of the linear part of a Jacobian, while recomputing the
3352        nonlinear portion.
3353 
3354    Collect on Mat
3355 
3356   Input Parameters:
3357 .  mat - the matrix (currently only AIJ matrices support this option)
3358 
3359   Level: advanced
3360 
3361   Common Usage, with SNESSolve():
3362 $    Create Jacobian matrix
3363 $    Set linear terms into matrix
3364 $    Apply boundary conditions to matrix, at this time matrix must have
3365 $      final nonzero structure (i.e. setting the nonlinear terms and applying
3366 $      boundary conditions again will not change the nonzero structure
3367 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3368 $    ierr = MatStoreValues(mat);
3369 $    Call SNESSetJacobian() with matrix
3370 $    In your Jacobian routine
3371 $      ierr = MatRetrieveValues(mat);
3372 $      Set nonlinear terms in matrix
3373 
3374   Common Usage without SNESSolve(), i.e. when you handle nonlinear solve yourself:
3375 $    // build linear portion of Jacobian
3376 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3377 $    ierr = MatStoreValues(mat);
3378 $    loop over nonlinear iterations
3379 $       ierr = MatRetrieveValues(mat);
3380 $       // call MatSetValues(mat,...) to set nonliner portion of Jacobian
3381 $       // call MatAssemblyBegin/End() on matrix
3382 $       Solve linear system with Jacobian
3383 $    endloop
3384 
3385   Notes:
3386     Matrix must already be assemblied before calling this routine
3387     Must set the matrix option MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE); before
3388     calling this routine.
3389 
3390     When this is called multiple times it overwrites the previous set of stored values
3391     and does not allocated additional space.
3392 
3393 .seealso: MatRetrieveValues()
3394 
3395 @*/
3396 PetscErrorCode  MatStoreValues(Mat mat)
3397 {
3398   PetscErrorCode ierr;
3399 
3400   PetscFunctionBegin;
3401   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3402   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3403   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3404   ierr = PetscUseMethod(mat,"MatStoreValues_C",(Mat),(mat));CHKERRQ(ierr);
3405   PetscFunctionReturn(0);
3406 }
3407 
3408 PetscErrorCode  MatRetrieveValues_SeqAIJ(Mat mat)
3409 {
3410   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3411   PetscErrorCode ierr;
3412   PetscInt       nz = aij->i[mat->rmap->n];
3413 
3414   PetscFunctionBegin;
3415   if (!aij->nonew) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3416   if (!aij->saved_values) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
3417   /* copy values over */
3418   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3419   PetscFunctionReturn(0);
3420 }
3421 
3422 /*@
3423     MatRetrieveValues - Retrieves the copy of the matrix values; this allows, for
3424        example, reuse of the linear part of a Jacobian, while recomputing the
3425        nonlinear portion.
3426 
3427    Collect on Mat
3428 
3429   Input Parameters:
3430 .  mat - the matrix (currently only AIJ matrices support this option)
3431 
3432   Level: advanced
3433 
3434 .seealso: MatStoreValues()
3435 
3436 @*/
3437 PetscErrorCode  MatRetrieveValues(Mat mat)
3438 {
3439   PetscErrorCode ierr;
3440 
3441   PetscFunctionBegin;
3442   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3443   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3444   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3445   ierr = PetscUseMethod(mat,"MatRetrieveValues_C",(Mat),(mat));CHKERRQ(ierr);
3446   PetscFunctionReturn(0);
3447 }
3448 
3449 
3450 /* --------------------------------------------------------------------------------*/
3451 /*@C
3452    MatCreateSeqAIJ - Creates a sparse matrix in AIJ (compressed row) format
3453    (the default parallel PETSc format).  For good matrix assembly performance
3454    the user should preallocate the matrix storage by setting the parameter nz
3455    (or the array nnz).  By setting these parameters accurately, performance
3456    during matrix assembly can be increased by more than a factor of 50.
3457 
3458    Collective on MPI_Comm
3459 
3460    Input Parameters:
3461 +  comm - MPI communicator, set to PETSC_COMM_SELF
3462 .  m - number of rows
3463 .  n - number of columns
3464 .  nz - number of nonzeros per row (same for all rows)
3465 -  nnz - array containing the number of nonzeros in the various rows
3466          (possibly different for each row) or NULL
3467 
3468    Output Parameter:
3469 .  A - the matrix
3470 
3471    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3472    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3473    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3474 
3475    Notes:
3476    If nnz is given then nz is ignored
3477 
3478    The AIJ format (also called the Yale sparse matrix format or
3479    compressed row storage), is fully compatible with standard Fortran 77
3480    storage.  That is, the stored row and column indices can begin at
3481    either one (as in Fortran) or zero.  See the users' manual for details.
3482 
3483    Specify the preallocated storage with either nz or nnz (not both).
3484    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3485    allocation.  For large problems you MUST preallocate memory or you
3486    will get TERRIBLE performance, see the users' manual chapter on matrices.
3487 
3488    By default, this format uses inodes (identical nodes) when possible, to
3489    improve numerical efficiency of matrix-vector products and solves. We
3490    search for consecutive rows with the same nonzero structure, thereby
3491    reusing matrix information to achieve increased efficiency.
3492 
3493    Options Database Keys:
3494 +  -mat_no_inode  - Do not use inodes
3495 -  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3496 
3497    Level: intermediate
3498 
3499 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays()
3500 
3501 @*/
3502 PetscErrorCode  MatCreateSeqAIJ(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
3503 {
3504   PetscErrorCode ierr;
3505 
3506   PetscFunctionBegin;
3507   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3508   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
3509   ierr = MatSetType(*A,MATSEQAIJ);CHKERRQ(ierr);
3510   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*A,nz,nnz);CHKERRQ(ierr);
3511   PetscFunctionReturn(0);
3512 }
3513 
3514 /*@C
3515    MatSeqAIJSetPreallocation - For good matrix assembly performance
3516    the user should preallocate the matrix storage by setting the parameter nz
3517    (or the array nnz).  By setting these parameters accurately, performance
3518    during matrix assembly can be increased by more than a factor of 50.
3519 
3520    Collective on MPI_Comm
3521 
3522    Input Parameters:
3523 +  B - The matrix
3524 .  nz - number of nonzeros per row (same for all rows)
3525 -  nnz - array containing the number of nonzeros in the various rows
3526          (possibly different for each row) or NULL
3527 
3528    Notes:
3529      If nnz is given then nz is ignored
3530 
3531     The AIJ format (also called the Yale sparse matrix format or
3532    compressed row storage), is fully compatible with standard Fortran 77
3533    storage.  That is, the stored row and column indices can begin at
3534    either one (as in Fortran) or zero.  See the users' manual for details.
3535 
3536    Specify the preallocated storage with either nz or nnz (not both).
3537    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3538    allocation.  For large problems you MUST preallocate memory or you
3539    will get TERRIBLE performance, see the users' manual chapter on matrices.
3540 
3541    You can call MatGetInfo() to get information on how effective the preallocation was;
3542    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3543    You can also run with the option -info and look for messages with the string
3544    malloc in them to see if additional memory allocation was needed.
3545 
3546    Developers: Use nz of MAT_SKIP_ALLOCATION to not allocate any space for the matrix
3547    entries or columns indices
3548 
3549    By default, this format uses inodes (identical nodes) when possible, to
3550    improve numerical efficiency of matrix-vector products and solves. We
3551    search for consecutive rows with the same nonzero structure, thereby
3552    reusing matrix information to achieve increased efficiency.
3553 
3554    Options Database Keys:
3555 +  -mat_no_inode  - Do not use inodes
3556 .  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3557 -  -mat_aij_oneindex - Internally use indexing starting at 1
3558         rather than 0.  Note that when calling MatSetValues(),
3559         the user still MUST index entries starting at 0!
3560 
3561    Level: intermediate
3562 
3563 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays(), MatGetInfo()
3564 
3565 @*/
3566 PetscErrorCode  MatSeqAIJSetPreallocation(Mat B,PetscInt nz,const PetscInt nnz[])
3567 {
3568   PetscErrorCode ierr;
3569 
3570   PetscFunctionBegin;
3571   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3572   PetscValidType(B,1);
3573   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocation_C",(Mat,PetscInt,const PetscInt[]),(B,nz,nnz));CHKERRQ(ierr);
3574   PetscFunctionReturn(0);
3575 }
3576 
3577 PetscErrorCode  MatSeqAIJSetPreallocation_SeqAIJ(Mat B,PetscInt nz,const PetscInt *nnz)
3578 {
3579   Mat_SeqAIJ     *b;
3580   PetscBool      skipallocation = PETSC_FALSE,realalloc = PETSC_FALSE;
3581   PetscErrorCode ierr;
3582   PetscInt       i;
3583 
3584   PetscFunctionBegin;
3585   if (nz >= 0 || nnz) realalloc = PETSC_TRUE;
3586   if (nz == MAT_SKIP_ALLOCATION) {
3587     skipallocation = PETSC_TRUE;
3588     nz             = 0;
3589   }
3590   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3591   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3592 
3593   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
3594   if (nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %D",nz);
3595   if (nnz) {
3596     for (i=0; i<B->rmap->n; i++) {
3597       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]);
3598       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);
3599     }
3600   }
3601 
3602   B->preallocated = PETSC_TRUE;
3603 
3604   b = (Mat_SeqAIJ*)B->data;
3605 
3606   if (!skipallocation) {
3607     if (!b->imax) {
3608       ierr = PetscMalloc2(B->rmap->n,&b->imax,B->rmap->n,&b->ilen);CHKERRQ(ierr);
3609       ierr = PetscLogObjectMemory((PetscObject)B,2*B->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
3610     }
3611     if (!nnz) {
3612       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 10;
3613       else if (nz < 0) nz = 1;
3614       for (i=0; i<B->rmap->n; i++) b->imax[i] = nz;
3615       nz = nz*B->rmap->n;
3616     } else {
3617       nz = 0;
3618       for (i=0; i<B->rmap->n; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
3619     }
3620     /* b->ilen will count nonzeros in each row so far. */
3621     for (i=0; i<B->rmap->n; i++) b->ilen[i] = 0;
3622 
3623     /* allocate the matrix space */
3624     /* FIXME: should B's old memory be unlogged? */
3625     ierr    = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
3626     if (B->structure_only) {
3627       ierr    = PetscMalloc1(nz,&b->j);CHKERRQ(ierr);
3628       ierr    = PetscMalloc1(B->rmap->n+1,&b->i);CHKERRQ(ierr);
3629       ierr    = PetscLogObjectMemory((PetscObject)B,(B->rmap->n+1)*sizeof(PetscInt)+nz*sizeof(PetscInt));CHKERRQ(ierr);
3630     } else {
3631       ierr    = PetscMalloc3(nz,&b->a,nz,&b->j,B->rmap->n+1,&b->i);CHKERRQ(ierr);
3632       ierr    = PetscLogObjectMemory((PetscObject)B,(B->rmap->n+1)*sizeof(PetscInt)+nz*(sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
3633     }
3634     b->i[0] = 0;
3635     for (i=1; i<B->rmap->n+1; i++) {
3636       b->i[i] = b->i[i-1] + b->imax[i-1];
3637     }
3638     if (B->structure_only) {
3639       b->singlemalloc = PETSC_FALSE;
3640       b->free_a       = PETSC_FALSE;
3641     } else {
3642       b->singlemalloc = PETSC_TRUE;
3643       b->free_a       = PETSC_TRUE;
3644     }
3645     b->free_ij      = PETSC_TRUE;
3646   } else {
3647     b->free_a  = PETSC_FALSE;
3648     b->free_ij = PETSC_FALSE;
3649   }
3650 
3651   b->nz               = 0;
3652   b->maxnz            = nz;
3653   B->info.nz_unneeded = (double)b->maxnz;
3654   if (realalloc) {
3655     ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3656   }
3657   B->was_assembled = PETSC_FALSE;
3658   B->assembled     = PETSC_FALSE;
3659   PetscFunctionReturn(0);
3660 }
3661 
3662 /*@
3663    MatSeqAIJSetPreallocationCSR - Allocates memory for a sparse sequential matrix in AIJ format.
3664 
3665    Input Parameters:
3666 +  B - the matrix
3667 .  i - the indices into j for the start of each row (starts with zero)
3668 .  j - the column indices for each row (starts with zero) these must be sorted for each row
3669 -  v - optional values in the matrix
3670 
3671    Level: developer
3672 
3673    The i,j,v values are COPIED with this routine; to avoid the copy use MatCreateSeqAIJWithArrays()
3674 
3675 .keywords: matrix, aij, compressed row, sparse, sequential
3676 
3677 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatSeqAIJSetPreallocation(), MatCreateSeqAIJ(), SeqAIJ
3678 @*/
3679 PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat B,const PetscInt i[],const PetscInt j[],const PetscScalar v[])
3680 {
3681   PetscErrorCode ierr;
3682 
3683   PetscFunctionBegin;
3684   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3685   PetscValidType(B,1);
3686   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocationCSR_C",(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,i,j,v));CHKERRQ(ierr);
3687   PetscFunctionReturn(0);
3688 }
3689 
3690 PetscErrorCode  MatSeqAIJSetPreallocationCSR_SeqAIJ(Mat B,const PetscInt Ii[],const PetscInt J[],const PetscScalar v[])
3691 {
3692   PetscInt       i;
3693   PetscInt       m,n;
3694   PetscInt       nz;
3695   PetscInt       *nnz, nz_max = 0;
3696   PetscScalar    *values;
3697   PetscErrorCode ierr;
3698 
3699   PetscFunctionBegin;
3700   if (Ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Ii[0] must be 0 it is %D", Ii[0]);
3701 
3702   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3703   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3704 
3705   ierr = MatGetSize(B, &m, &n);CHKERRQ(ierr);
3706   ierr = PetscMalloc1(m+1, &nnz);CHKERRQ(ierr);
3707   for (i = 0; i < m; i++) {
3708     nz     = Ii[i+1]- Ii[i];
3709     nz_max = PetscMax(nz_max, nz);
3710     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Local row %D has a negative number of columns %D", i, nnz);
3711     nnz[i] = nz;
3712   }
3713   ierr = MatSeqAIJSetPreallocation(B, 0, nnz);CHKERRQ(ierr);
3714   ierr = PetscFree(nnz);CHKERRQ(ierr);
3715 
3716   if (v) {
3717     values = (PetscScalar*) v;
3718   } else {
3719     ierr = PetscCalloc1(nz_max, &values);CHKERRQ(ierr);
3720   }
3721 
3722   for (i = 0; i < m; i++) {
3723     nz   = Ii[i+1] - Ii[i];
3724     ierr = MatSetValues_SeqAIJ(B, 1, &i, nz, J+Ii[i], values + (v ? Ii[i] : 0), INSERT_VALUES);CHKERRQ(ierr);
3725   }
3726 
3727   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3728   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3729 
3730   if (!v) {
3731     ierr = PetscFree(values);CHKERRQ(ierr);
3732   }
3733   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3734   PetscFunctionReturn(0);
3735 }
3736 
3737 #include <../src/mat/impls/dense/seq/dense.h>
3738 #include <petsc/private/kernels/petscaxpy.h>
3739 
3740 /*
3741     Computes (B'*A')' since computing B*A directly is untenable
3742 
3743                n                       p                          p
3744         (              )       (              )         (                  )
3745       m (      A       )  *  n (       B      )   =   m (         C        )
3746         (              )       (              )         (                  )
3747 
3748 */
3749 PetscErrorCode MatMatMultNumeric_SeqDense_SeqAIJ(Mat A,Mat B,Mat C)
3750 {
3751   PetscErrorCode    ierr;
3752   Mat_SeqDense      *sub_a = (Mat_SeqDense*)A->data;
3753   Mat_SeqAIJ        *sub_b = (Mat_SeqAIJ*)B->data;
3754   Mat_SeqDense      *sub_c = (Mat_SeqDense*)C->data;
3755   PetscInt          i,n,m,q,p;
3756   const PetscInt    *ii,*idx;
3757   const PetscScalar *b,*a,*a_q;
3758   PetscScalar       *c,*c_q;
3759 
3760   PetscFunctionBegin;
3761   m    = A->rmap->n;
3762   n    = A->cmap->n;
3763   p    = B->cmap->n;
3764   a    = sub_a->v;
3765   b    = sub_b->a;
3766   c    = sub_c->v;
3767   ierr = PetscMemzero(c,m*p*sizeof(PetscScalar));CHKERRQ(ierr);
3768 
3769   ii  = sub_b->i;
3770   idx = sub_b->j;
3771   for (i=0; i<n; i++) {
3772     q = ii[i+1] - ii[i];
3773     while (q-->0) {
3774       c_q = c + m*(*idx);
3775       a_q = a + m*i;
3776       PetscKernelAXPY(c_q,*b,a_q,m);
3777       idx++;
3778       b++;
3779     }
3780   }
3781   PetscFunctionReturn(0);
3782 }
3783 
3784 PetscErrorCode MatMatMultSymbolic_SeqDense_SeqAIJ(Mat A,Mat B,PetscReal fill,Mat *C)
3785 {
3786   PetscErrorCode ierr;
3787   PetscInt       m=A->rmap->n,n=B->cmap->n;
3788   Mat            Cmat;
3789 
3790   PetscFunctionBegin;
3791   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);
3792   ierr = MatCreate(PetscObjectComm((PetscObject)A),&Cmat);CHKERRQ(ierr);
3793   ierr = MatSetSizes(Cmat,m,n,m,n);CHKERRQ(ierr);
3794   ierr = MatSetBlockSizesFromMats(Cmat,A,B);CHKERRQ(ierr);
3795   ierr = MatSetType(Cmat,MATSEQDENSE);CHKERRQ(ierr);
3796   ierr = MatSeqDenseSetPreallocation(Cmat,NULL);CHKERRQ(ierr);
3797 
3798   Cmat->ops->matmultnumeric = MatMatMultNumeric_SeqDense_SeqAIJ;
3799 
3800   *C = Cmat;
3801   PetscFunctionReturn(0);
3802 }
3803 
3804 /* ----------------------------------------------------------------*/
3805 PETSC_INTERN PetscErrorCode MatMatMult_SeqDense_SeqAIJ(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
3806 {
3807   PetscErrorCode ierr;
3808 
3809   PetscFunctionBegin;
3810   if (scall == MAT_INITIAL_MATRIX) {
3811     ierr = PetscLogEventBegin(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
3812     ierr = MatMatMultSymbolic_SeqDense_SeqAIJ(A,B,fill,C);CHKERRQ(ierr);
3813     ierr = PetscLogEventEnd(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
3814   }
3815   ierr = PetscLogEventBegin(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
3816   ierr = MatMatMultNumeric_SeqDense_SeqAIJ(A,B,*C);CHKERRQ(ierr);
3817   ierr = PetscLogEventEnd(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
3818   PetscFunctionReturn(0);
3819 }
3820 
3821 
3822 /*MC
3823    MATSEQAIJ - MATSEQAIJ = "seqaij" - A matrix type to be used for sequential sparse matrices,
3824    based on compressed sparse row format.
3825 
3826    Options Database Keys:
3827 . -mat_type seqaij - sets the matrix type to "seqaij" during a call to MatSetFromOptions()
3828 
3829   Level: beginner
3830 
3831 .seealso: MatCreateSeqAIJ(), MatSetFromOptions(), MatSetType(), MatCreate(), MatType
3832 M*/
3833 
3834 /*MC
3835    MATAIJ - MATAIJ = "aij" - A matrix type to be used for sparse matrices.
3836 
3837    This matrix type is identical to MATSEQAIJ when constructed with a single process communicator,
3838    and MATMPIAIJ otherwise.  As a result, for single process communicators,
3839   MatSeqAIJSetPreallocation is supported, and similarly MatMPIAIJSetPreallocation is supported
3840   for communicators controlling multiple processes.  It is recommended that you call both of
3841   the above preallocation routines for simplicity.
3842 
3843    Options Database Keys:
3844 . -mat_type aij - sets the matrix type to "aij" during a call to MatSetFromOptions()
3845 
3846   Developer Notes: Subclasses include MATAIJCUSP, MATAIJPERM, MATAIJMKL, MATAIJCRL, and also automatically switches over to use inodes when
3847    enough exist.
3848 
3849   Level: beginner
3850 
3851 .seealso: MatCreateAIJ(), MatCreateSeqAIJ(), MATSEQAIJ,MATMPIAIJ
3852 M*/
3853 
3854 /*MC
3855    MATAIJCRL - MATAIJCRL = "aijcrl" - A matrix type to be used for sparse matrices.
3856 
3857    This matrix type is identical to MATSEQAIJCRL when constructed with a single process communicator,
3858    and MATMPIAIJCRL otherwise.  As a result, for single process communicators,
3859    MatSeqAIJSetPreallocation() is supported, and similarly MatMPIAIJSetPreallocation() is supported
3860   for communicators controlling multiple processes.  It is recommended that you call both of
3861   the above preallocation routines for simplicity.
3862 
3863    Options Database Keys:
3864 . -mat_type aijcrl - sets the matrix type to "aijcrl" during a call to MatSetFromOptions()
3865 
3866   Level: beginner
3867 
3868 .seealso: MatCreateMPIAIJCRL,MATSEQAIJCRL,MATMPIAIJCRL, MATSEQAIJCRL, MATMPIAIJCRL
3869 M*/
3870 
3871 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJCRL(Mat,MatType,MatReuse,Mat*);
3872 #if defined(PETSC_HAVE_ELEMENTAL)
3873 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_Elemental(Mat,MatType,MatReuse,Mat*);
3874 #endif
3875 #if defined(PETSC_HAVE_HYPRE)
3876 PETSC_INTERN PetscErrorCode MatConvert_AIJ_HYPRE(Mat A,MatType,MatReuse,Mat*);
3877 PETSC_INTERN PetscErrorCode MatMatMatMult_Transpose_AIJ_AIJ(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
3878 #endif
3879 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqDense(Mat,MatType,MatReuse,Mat*);
3880 
3881 #if defined(PETSC_HAVE_MATLAB_ENGINE)
3882 PETSC_EXTERN PetscErrorCode  MatlabEnginePut_SeqAIJ(PetscObject,void*);
3883 PETSC_EXTERN PetscErrorCode  MatlabEngineGet_SeqAIJ(PetscObject,void*);
3884 #endif
3885 
3886 PETSC_EXTERN PetscErrorCode MatConvert_SeqAIJ_SeqELL(Mat,MatType,MatReuse,Mat*);
3887 
3888 /*@C
3889    MatSeqAIJGetArray - gives access to the array where the data for a MATSEQAIJ matrix is stored
3890 
3891    Not Collective
3892 
3893    Input Parameter:
3894 .  mat - a MATSEQAIJ matrix
3895 
3896    Output Parameter:
3897 .   array - pointer to the data
3898 
3899    Level: intermediate
3900 
3901 .seealso: MatSeqAIJRestoreArray(), MatSeqAIJGetArrayF90()
3902 @*/
3903 PetscErrorCode  MatSeqAIJGetArray(Mat A,PetscScalar **array)
3904 {
3905   PetscErrorCode ierr;
3906 
3907   PetscFunctionBegin;
3908   ierr = PetscUseMethod(A,"MatSeqAIJGetArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
3909   PetscFunctionReturn(0);
3910 }
3911 
3912 /*@C
3913    MatSeqAIJGetMaxRowNonzeros - returns the maximum number of nonzeros in any row
3914 
3915    Not Collective
3916 
3917    Input Parameter:
3918 .  mat - a MATSEQAIJ matrix
3919 
3920    Output Parameter:
3921 .   nz - the maximum number of nonzeros in any row
3922 
3923    Level: intermediate
3924 
3925 .seealso: MatSeqAIJRestoreArray(), MatSeqAIJGetArrayF90()
3926 @*/
3927 PetscErrorCode  MatSeqAIJGetMaxRowNonzeros(Mat A,PetscInt *nz)
3928 {
3929   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)A->data;
3930 
3931   PetscFunctionBegin;
3932   *nz = aij->rmax;
3933   PetscFunctionReturn(0);
3934 }
3935 
3936 /*@C
3937    MatSeqAIJRestoreArray - returns access to the array where the data for a MATSEQAIJ matrix is stored obtained by MatSeqAIJGetArray()
3938 
3939    Not Collective
3940 
3941    Input Parameters:
3942 .  mat - a MATSEQAIJ matrix
3943 .  array - pointer to the data
3944 
3945    Level: intermediate
3946 
3947 .seealso: MatSeqAIJGetArray(), MatSeqAIJRestoreArrayF90()
3948 @*/
3949 PetscErrorCode  MatSeqAIJRestoreArray(Mat A,PetscScalar **array)
3950 {
3951   PetscErrorCode ierr;
3952 
3953   PetscFunctionBegin;
3954   ierr = PetscUseMethod(A,"MatSeqAIJRestoreArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
3955   PetscFunctionReturn(0);
3956 }
3957 
3958 PETSC_EXTERN PetscErrorCode MatCreate_SeqAIJ(Mat B)
3959 {
3960   Mat_SeqAIJ     *b;
3961   PetscErrorCode ierr;
3962   PetscMPIInt    size;
3963 
3964   PetscFunctionBegin;
3965   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&size);CHKERRQ(ierr);
3966   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Comm must be of size 1");
3967 
3968   ierr = PetscNewLog(B,&b);CHKERRQ(ierr);
3969 
3970   B->data = (void*)b;
3971 
3972   ierr = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
3973 
3974   b->row                = 0;
3975   b->col                = 0;
3976   b->icol               = 0;
3977   b->reallocs           = 0;
3978   b->ignorezeroentries  = PETSC_FALSE;
3979   b->roworiented        = PETSC_TRUE;
3980   b->nonew              = 0;
3981   b->diag               = 0;
3982   b->solve_work         = 0;
3983   B->spptr              = 0;
3984   b->saved_values       = 0;
3985   b->idiag              = 0;
3986   b->mdiag              = 0;
3987   b->ssor_work          = 0;
3988   b->omega              = 1.0;
3989   b->fshift             = 0.0;
3990   b->idiagvalid         = PETSC_FALSE;
3991   b->ibdiagvalid        = PETSC_FALSE;
3992   b->keepnonzeropattern = PETSC_FALSE;
3993 
3994   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
3995   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJGetArray_C",MatSeqAIJGetArray_SeqAIJ);CHKERRQ(ierr);
3996   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJRestoreArray_C",MatSeqAIJRestoreArray_SeqAIJ);CHKERRQ(ierr);
3997 
3998 #if defined(PETSC_HAVE_MATLAB_ENGINE)
3999   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEnginePut_C",MatlabEnginePut_SeqAIJ);CHKERRQ(ierr);
4000   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEngineGet_C",MatlabEngineGet_SeqAIJ);CHKERRQ(ierr);
4001 #endif
4002 
4003   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetColumnIndices_C",MatSeqAIJSetColumnIndices_SeqAIJ);CHKERRQ(ierr);
4004   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_SeqAIJ);CHKERRQ(ierr);
4005   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_SeqAIJ);CHKERRQ(ierr);
4006   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqsbaij_C",MatConvert_SeqAIJ_SeqSBAIJ);CHKERRQ(ierr);
4007   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqbaij_C",MatConvert_SeqAIJ_SeqBAIJ);CHKERRQ(ierr);
4008   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijperm_C",MatConvert_SeqAIJ_SeqAIJPERM);CHKERRQ(ierr);
4009 #if defined(PETSC_HAVE_MKL_SPARSE)
4010   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijmkl_C",MatConvert_SeqAIJ_SeqAIJMKL);CHKERRQ(ierr);
4011 #endif
4012   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijcrl_C",MatConvert_SeqAIJ_SeqAIJCRL);CHKERRQ(ierr);
4013 #if defined(PETSC_HAVE_ELEMENTAL)
4014   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_elemental_C",MatConvert_SeqAIJ_Elemental);CHKERRQ(ierr);
4015 #endif
4016 #if defined(PETSC_HAVE_HYPRE)
4017   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_hypre_C",MatConvert_AIJ_HYPRE);CHKERRQ(ierr);
4018   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMatMult_transpose_seqaij_seqaij_C",MatMatMatMult_Transpose_AIJ_AIJ);CHKERRQ(ierr);
4019 #endif
4020   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqdense_C",MatConvert_SeqAIJ_SeqDense);CHKERRQ(ierr);
4021   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqell_C",MatConvert_SeqAIJ_SeqELL);CHKERRQ(ierr);
4022   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4023   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsHermitianTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4024   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocation_C",MatSeqAIJSetPreallocation_SeqAIJ);CHKERRQ(ierr);
4025   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocationCSR_C",MatSeqAIJSetPreallocationCSR_SeqAIJ);CHKERRQ(ierr);
4026   ierr = PetscObjectComposeFunction((PetscObject)B,"MatReorderForNonzeroDiagonal_C",MatReorderForNonzeroDiagonal_SeqAIJ);CHKERRQ(ierr);
4027   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMult_seqdense_seqaij_C",MatMatMult_SeqDense_SeqAIJ);CHKERRQ(ierr);
4028   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultSymbolic_seqdense_seqaij_C",MatMatMultSymbolic_SeqDense_SeqAIJ);CHKERRQ(ierr);
4029   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultNumeric_seqdense_seqaij_C",MatMatMultNumeric_SeqDense_SeqAIJ);CHKERRQ(ierr);
4030   ierr = MatCreate_SeqAIJ_Inode(B);CHKERRQ(ierr);
4031   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
4032   ierr = MatSeqAIJSetTypeFromOptions(B);CHKERRQ(ierr);  /* this allows changing the matrix subtype to say MATSEQAIJPERM */
4033   PetscFunctionReturn(0);
4034 }
4035 
4036 /*
4037     Given a matrix generated with MatGetFactor() duplicates all the information in A into B
4038 */
4039 PetscErrorCode MatDuplicateNoCreate_SeqAIJ(Mat C,Mat A,MatDuplicateOption cpvalues,PetscBool mallocmatspace)
4040 {
4041   Mat_SeqAIJ     *c,*a = (Mat_SeqAIJ*)A->data;
4042   PetscErrorCode ierr;
4043   PetscInt       i,m = A->rmap->n;
4044 
4045   PetscFunctionBegin;
4046   c = (Mat_SeqAIJ*)C->data;
4047 
4048   C->factortype = A->factortype;
4049   c->row        = 0;
4050   c->col        = 0;
4051   c->icol       = 0;
4052   c->reallocs   = 0;
4053 
4054   C->assembled = PETSC_TRUE;
4055 
4056   ierr = PetscLayoutReference(A->rmap,&C->rmap);CHKERRQ(ierr);
4057   ierr = PetscLayoutReference(A->cmap,&C->cmap);CHKERRQ(ierr);
4058 
4059   ierr = PetscMalloc2(m,&c->imax,m,&c->ilen);CHKERRQ(ierr);
4060   ierr = PetscLogObjectMemory((PetscObject)C, 2*m*sizeof(PetscInt));CHKERRQ(ierr);
4061   for (i=0; i<m; i++) {
4062     c->imax[i] = a->imax[i];
4063     c->ilen[i] = a->ilen[i];
4064   }
4065 
4066   /* allocate the matrix space */
4067   if (mallocmatspace) {
4068     ierr = PetscMalloc3(a->i[m],&c->a,a->i[m],&c->j,m+1,&c->i);CHKERRQ(ierr);
4069     ierr = PetscLogObjectMemory((PetscObject)C, a->i[m]*(sizeof(PetscScalar)+sizeof(PetscInt))+(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4070 
4071     c->singlemalloc = PETSC_TRUE;
4072 
4073     ierr = PetscMemcpy(c->i,a->i,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4074     if (m > 0) {
4075       ierr = PetscMemcpy(c->j,a->j,(a->i[m])*sizeof(PetscInt));CHKERRQ(ierr);
4076       if (cpvalues == MAT_COPY_VALUES) {
4077         ierr = PetscMemcpy(c->a,a->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4078       } else {
4079         ierr = PetscMemzero(c->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4080       }
4081     }
4082   }
4083 
4084   c->ignorezeroentries = a->ignorezeroentries;
4085   c->roworiented       = a->roworiented;
4086   c->nonew             = a->nonew;
4087   if (a->diag) {
4088     ierr = PetscMalloc1(m+1,&c->diag);CHKERRQ(ierr);
4089     ierr = PetscLogObjectMemory((PetscObject)C,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4090     for (i=0; i<m; i++) {
4091       c->diag[i] = a->diag[i];
4092     }
4093   } else c->diag = 0;
4094 
4095   c->solve_work         = 0;
4096   c->saved_values       = 0;
4097   c->idiag              = 0;
4098   c->ssor_work          = 0;
4099   c->keepnonzeropattern = a->keepnonzeropattern;
4100   c->free_a             = PETSC_TRUE;
4101   c->free_ij            = PETSC_TRUE;
4102 
4103   c->rmax         = a->rmax;
4104   c->nz           = a->nz;
4105   c->maxnz        = a->nz;       /* Since we allocate exactly the right amount */
4106   C->preallocated = PETSC_TRUE;
4107 
4108   c->compressedrow.use   = a->compressedrow.use;
4109   c->compressedrow.nrows = a->compressedrow.nrows;
4110   if (a->compressedrow.use) {
4111     i    = a->compressedrow.nrows;
4112     ierr = PetscMalloc2(i+1,&c->compressedrow.i,i,&c->compressedrow.rindex);CHKERRQ(ierr);
4113     ierr = PetscMemcpy(c->compressedrow.i,a->compressedrow.i,(i+1)*sizeof(PetscInt));CHKERRQ(ierr);
4114     ierr = PetscMemcpy(c->compressedrow.rindex,a->compressedrow.rindex,i*sizeof(PetscInt));CHKERRQ(ierr);
4115   } else {
4116     c->compressedrow.use    = PETSC_FALSE;
4117     c->compressedrow.i      = NULL;
4118     c->compressedrow.rindex = NULL;
4119   }
4120   c->nonzerorowcnt = a->nonzerorowcnt;
4121   C->nonzerostate  = A->nonzerostate;
4122 
4123   ierr = MatDuplicate_SeqAIJ_Inode(A,cpvalues,&C);CHKERRQ(ierr);
4124   ierr = PetscFunctionListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
4125   PetscFunctionReturn(0);
4126 }
4127 
4128 PetscErrorCode MatDuplicate_SeqAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
4129 {
4130   PetscErrorCode ierr;
4131 
4132   PetscFunctionBegin;
4133   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
4134   ierr = MatSetSizes(*B,A->rmap->n,A->cmap->n,A->rmap->n,A->cmap->n);CHKERRQ(ierr);
4135   if (!(A->rmap->n % A->rmap->bs) && !(A->cmap->n % A->cmap->bs)) {
4136     ierr = MatSetBlockSizesFromMats(*B,A,A);CHKERRQ(ierr);
4137   }
4138   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
4139   ierr = MatDuplicateNoCreate_SeqAIJ(*B,A,cpvalues,PETSC_TRUE);CHKERRQ(ierr);
4140   PetscFunctionReturn(0);
4141 }
4142 
4143 PetscErrorCode MatLoad_SeqAIJ(Mat newMat, PetscViewer viewer)
4144 {
4145   Mat_SeqAIJ     *a;
4146   PetscErrorCode ierr;
4147   PetscInt       i,sum,nz,header[4],*rowlengths = 0,M,N,rows,cols;
4148   int            fd;
4149   PetscMPIInt    size;
4150   MPI_Comm       comm;
4151   PetscInt       bs = newMat->rmap->bs;
4152 
4153   PetscFunctionBegin;
4154   /* force binary viewer to load .info file if it has not yet done so */
4155   ierr = PetscViewerSetUp(viewer);CHKERRQ(ierr);
4156   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
4157   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4158   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"view must have one processor");
4159 
4160   ierr = PetscOptionsBegin(comm,NULL,"Options for loading SEQAIJ matrix","Mat");CHKERRQ(ierr);
4161   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
4162   ierr = PetscOptionsEnd();CHKERRQ(ierr);
4163   if (bs < 0) bs = 1;
4164   ierr = MatSetBlockSize(newMat,bs);CHKERRQ(ierr);
4165 
4166   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
4167   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
4168   if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object in file");
4169   M = header[1]; N = header[2]; nz = header[3];
4170 
4171   if (nz < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk,cannot load as SeqAIJ");
4172 
4173   /* read in row lengths */
4174   ierr = PetscMalloc1(M,&rowlengths);CHKERRQ(ierr);
4175   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
4176 
4177   /* check if sum of rowlengths is same as nz */
4178   for (i=0,sum=0; i< M; i++) sum +=rowlengths[i];
4179   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);
4180 
4181   /* set global size if not set already*/
4182   if (newMat->rmap->n < 0 && newMat->rmap->N < 0 && newMat->cmap->n < 0 && newMat->cmap->N < 0) {
4183     ierr = MatSetSizes(newMat,PETSC_DECIDE,PETSC_DECIDE,M,N);CHKERRQ(ierr);
4184   } else {
4185     /* if sizes and type are already set, check if the matrix  global sizes are correct */
4186     ierr = MatGetSize(newMat,&rows,&cols);CHKERRQ(ierr);
4187     if (rows < 0 && cols < 0) { /* user might provide local size instead of global size */
4188       ierr = MatGetLocalSize(newMat,&rows,&cols);CHKERRQ(ierr);
4189     }
4190     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);
4191   }
4192   ierr = MatSeqAIJSetPreallocation_SeqAIJ(newMat,0,rowlengths);CHKERRQ(ierr);
4193   a    = (Mat_SeqAIJ*)newMat->data;
4194 
4195   ierr = PetscBinaryRead(fd,a->j,nz,PETSC_INT);CHKERRQ(ierr);
4196 
4197   /* read in nonzero values */
4198   ierr = PetscBinaryRead(fd,a->a,nz,PETSC_SCALAR);CHKERRQ(ierr);
4199 
4200   /* set matrix "i" values */
4201   a->i[0] = 0;
4202   for (i=1; i<= M; i++) {
4203     a->i[i]      = a->i[i-1] + rowlengths[i-1];
4204     a->ilen[i-1] = rowlengths[i-1];
4205   }
4206   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
4207 
4208   ierr = MatAssemblyBegin(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4209   ierr = MatAssemblyEnd(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4210   PetscFunctionReturn(0);
4211 }
4212 
4213 PetscErrorCode MatEqual_SeqAIJ(Mat A,Mat B,PetscBool * flg)
4214 {
4215   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*b = (Mat_SeqAIJ*)B->data;
4216   PetscErrorCode ierr;
4217 #if defined(PETSC_USE_COMPLEX)
4218   PetscInt k;
4219 #endif
4220 
4221   PetscFunctionBegin;
4222   /* If the  matrix dimensions are not equal,or no of nonzeros */
4223   if ((A->rmap->n != B->rmap->n) || (A->cmap->n != B->cmap->n) ||(a->nz != b->nz)) {
4224     *flg = PETSC_FALSE;
4225     PetscFunctionReturn(0);
4226   }
4227 
4228   /* if the a->i are the same */
4229   ierr = PetscMemcmp(a->i,b->i,(A->rmap->n+1)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4230   if (!*flg) PetscFunctionReturn(0);
4231 
4232   /* if a->j are the same */
4233   ierr = PetscMemcmp(a->j,b->j,(a->nz)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4234   if (!*flg) PetscFunctionReturn(0);
4235 
4236   /* if a->a are the same */
4237 #if defined(PETSC_USE_COMPLEX)
4238   for (k=0; k<a->nz; k++) {
4239     if (PetscRealPart(a->a[k]) != PetscRealPart(b->a[k]) || PetscImaginaryPart(a->a[k]) != PetscImaginaryPart(b->a[k])) {
4240       *flg = PETSC_FALSE;
4241       PetscFunctionReturn(0);
4242     }
4243   }
4244 #else
4245   ierr = PetscMemcmp(a->a,b->a,(a->nz)*sizeof(PetscScalar),flg);CHKERRQ(ierr);
4246 #endif
4247   PetscFunctionReturn(0);
4248 }
4249 
4250 /*@
4251      MatCreateSeqAIJWithArrays - Creates an sequential AIJ matrix using matrix elements (in CSR format)
4252               provided by the user.
4253 
4254       Collective on MPI_Comm
4255 
4256    Input Parameters:
4257 +   comm - must be an MPI communicator of size 1
4258 .   m - number of rows
4259 .   n - number of columns
4260 .   i - row indices
4261 .   j - column indices
4262 -   a - matrix values
4263 
4264    Output Parameter:
4265 .   mat - the matrix
4266 
4267    Level: intermediate
4268 
4269    Notes:
4270        The i, j, and a arrays are not copied by this routine, the user must free these arrays
4271     once the matrix is destroyed and not before
4272 
4273        You cannot set new nonzero locations into this matrix, that will generate an error.
4274 
4275        The i and j indices are 0 based
4276 
4277        The format which is used for the sparse matrix input, is equivalent to a
4278     row-major ordering.. i.e for the following matrix, the input data expected is
4279     as shown
4280 
4281 $        1 0 0
4282 $        2 0 3
4283 $        4 5 6
4284 $
4285 $        i =  {0,1,3,6}  [size = nrow+1  = 3+1]
4286 $        j =  {0,0,2,0,1,2}  [size = 6]; values must be sorted for each row
4287 $        v =  {1,2,3,4,5,6}  [size = 6]
4288 
4289 
4290 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateMPIAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4291 
4292 @*/
4293 PetscErrorCode  MatCreateSeqAIJWithArrays(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt i[],PetscInt j[],PetscScalar a[],Mat *mat)
4294 {
4295   PetscErrorCode ierr;
4296   PetscInt       ii;
4297   Mat_SeqAIJ     *aij;
4298 #if defined(PETSC_USE_DEBUG)
4299   PetscInt jj;
4300 #endif
4301 
4302   PetscFunctionBegin;
4303   if (m > 0 && i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
4304   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4305   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4306   /* ierr = MatSetBlockSizes(*mat,,);CHKERRQ(ierr); */
4307   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4308   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
4309   aij  = (Mat_SeqAIJ*)(*mat)->data;
4310   ierr = PetscMalloc2(m,&aij->imax,m,&aij->ilen);CHKERRQ(ierr);
4311 
4312   aij->i            = i;
4313   aij->j            = j;
4314   aij->a            = a;
4315   aij->singlemalloc = PETSC_FALSE;
4316   aij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
4317   aij->free_a       = PETSC_FALSE;
4318   aij->free_ij      = PETSC_FALSE;
4319 
4320   for (ii=0; ii<m; ii++) {
4321     aij->ilen[ii] = aij->imax[ii] = i[ii+1] - i[ii];
4322 #if defined(PETSC_USE_DEBUG)
4323     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]);
4324     for (jj=i[ii]+1; jj<i[ii+1]; jj++) {
4325       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);
4326       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);
4327     }
4328 #endif
4329   }
4330 #if defined(PETSC_USE_DEBUG)
4331   for (ii=0; ii<aij->i[m]; ii++) {
4332     if (j[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %D index = %D",ii,j[ii]);
4333     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]);
4334   }
4335 #endif
4336 
4337   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4338   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4339   PetscFunctionReturn(0);
4340 }
4341 /*@C
4342      MatCreateSeqAIJFromTriple - Creates an sequential AIJ matrix using matrix elements (in COO format)
4343               provided by the user.
4344 
4345       Collective on MPI_Comm
4346 
4347    Input Parameters:
4348 +   comm - must be an MPI communicator of size 1
4349 .   m   - number of rows
4350 .   n   - number of columns
4351 .   i   - row indices
4352 .   j   - column indices
4353 .   a   - matrix values
4354 .   nz  - number of nonzeros
4355 -   idx - 0 or 1 based
4356 
4357    Output Parameter:
4358 .   mat - the matrix
4359 
4360    Level: intermediate
4361 
4362    Notes:
4363        The i and j indices are 0 based
4364 
4365        The format which is used for the sparse matrix input, is equivalent to a
4366     row-major ordering.. i.e for the following matrix, the input data expected is
4367     as shown:
4368 
4369         1 0 0
4370         2 0 3
4371         4 5 6
4372 
4373         i =  {0,1,1,2,2,2}
4374         j =  {0,0,2,0,1,2}
4375         v =  {1,2,3,4,5,6}
4376 
4377 
4378 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateSeqAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4379 
4380 @*/
4381 PetscErrorCode  MatCreateSeqAIJFromTriple(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt i[],PetscInt j[],PetscScalar a[],Mat *mat,PetscInt nz,PetscBool idx)
4382 {
4383   PetscErrorCode ierr;
4384   PetscInt       ii, *nnz, one = 1,row,col;
4385 
4386 
4387   PetscFunctionBegin;
4388   ierr = PetscCalloc1(m,&nnz);CHKERRQ(ierr);
4389   for (ii = 0; ii < nz; ii++) {
4390     nnz[i[ii] - !!idx] += 1;
4391   }
4392   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4393   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4394   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4395   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,0,nnz);CHKERRQ(ierr);
4396   for (ii = 0; ii < nz; ii++) {
4397     if (idx) {
4398       row = i[ii] - 1;
4399       col = j[ii] - 1;
4400     } else {
4401       row = i[ii];
4402       col = j[ii];
4403     }
4404     ierr = MatSetValues(*mat,one,&row,one,&col,&a[ii],ADD_VALUES);CHKERRQ(ierr);
4405   }
4406   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4407   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4408   ierr = PetscFree(nnz);CHKERRQ(ierr);
4409   PetscFunctionReturn(0);
4410 }
4411 
4412 PetscErrorCode MatSeqAIJInvalidateDiagonal(Mat A)
4413 {
4414   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data;
4415   PetscErrorCode ierr;
4416 
4417   PetscFunctionBegin;
4418   a->idiagvalid  = PETSC_FALSE;
4419   a->ibdiagvalid = PETSC_FALSE;
4420 
4421   ierr = MatSeqAIJInvalidateDiagonal_Inode(A);CHKERRQ(ierr);
4422   PetscFunctionReturn(0);
4423 }
4424 
4425 PetscErrorCode MatCreateMPIMatConcatenateSeqMat_SeqAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
4426 {
4427   PetscErrorCode ierr;
4428   PetscMPIInt    size;
4429 
4430   PetscFunctionBegin;
4431   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4432   if (size == 1) {
4433     if (scall == MAT_INITIAL_MATRIX) {
4434       ierr = MatDuplicate(inmat,MAT_COPY_VALUES,outmat);CHKERRQ(ierr);
4435     } else {
4436       ierr = MatCopy(inmat,*outmat,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
4437     }
4438   } else {
4439     ierr = MatCreateMPIMatConcatenateSeqMat_MPIAIJ(comm,inmat,n,scall,outmat);CHKERRQ(ierr);
4440   }
4441   PetscFunctionReturn(0);
4442 }
4443 
4444 /*
4445  Permute A into C's *local* index space using rowemb,colemb.
4446  The embedding are supposed to be injections and the above implies that the range of rowemb is a subset
4447  of [0,m), colemb is in [0,n).
4448  If pattern == DIFFERENT_NONZERO_PATTERN, C is preallocated according to A.
4449  */
4450 PetscErrorCode MatSetSeqMat_SeqAIJ(Mat C,IS rowemb,IS colemb,MatStructure pattern,Mat B)
4451 {
4452   /* If making this function public, change the error returned in this function away from _PLIB. */
4453   PetscErrorCode ierr;
4454   Mat_SeqAIJ     *Baij;
4455   PetscBool      seqaij;
4456   PetscInt       m,n,*nz,i,j,count;
4457   PetscScalar    v;
4458   const PetscInt *rowindices,*colindices;
4459 
4460   PetscFunctionBegin;
4461   if (!B) PetscFunctionReturn(0);
4462   /* Check to make sure the target matrix (and embeddings) are compatible with C and each other. */
4463   ierr = PetscObjectBaseTypeCompare((PetscObject)B,MATSEQAIJ,&seqaij);CHKERRQ(ierr);
4464   if (!seqaij) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is of wrong type");
4465   if (rowemb) {
4466     ierr = ISGetLocalSize(rowemb,&m);CHKERRQ(ierr);
4467     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);
4468   } else {
4469     if (C->rmap->n != B->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is row-incompatible with the target matrix");
4470   }
4471   if (colemb) {
4472     ierr = ISGetLocalSize(colemb,&n);CHKERRQ(ierr);
4473     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);
4474   } else {
4475     if (C->cmap->n != B->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is col-incompatible with the target matrix");
4476   }
4477 
4478   Baij = (Mat_SeqAIJ*)(B->data);
4479   if (pattern == DIFFERENT_NONZERO_PATTERN) {
4480     ierr = PetscMalloc1(B->rmap->n,&nz);CHKERRQ(ierr);
4481     for (i=0; i<B->rmap->n; i++) {
4482       nz[i] = Baij->i[i+1] - Baij->i[i];
4483     }
4484     ierr = MatSeqAIJSetPreallocation(C,0,nz);CHKERRQ(ierr);
4485     ierr = PetscFree(nz);CHKERRQ(ierr);
4486   }
4487   if (pattern == SUBSET_NONZERO_PATTERN) {
4488     ierr = MatZeroEntries(C);CHKERRQ(ierr);
4489   }
4490   count = 0;
4491   rowindices = NULL;
4492   colindices = NULL;
4493   if (rowemb) {
4494     ierr = ISGetIndices(rowemb,&rowindices);CHKERRQ(ierr);
4495   }
4496   if (colemb) {
4497     ierr = ISGetIndices(colemb,&colindices);CHKERRQ(ierr);
4498   }
4499   for (i=0; i<B->rmap->n; i++) {
4500     PetscInt row;
4501     row = i;
4502     if (rowindices) row = rowindices[i];
4503     for (j=Baij->i[i]; j<Baij->i[i+1]; j++) {
4504       PetscInt col;
4505       col  = Baij->j[count];
4506       if (colindices) col = colindices[col];
4507       v    = Baij->a[count];
4508       ierr = MatSetValues(C,1,&row,1,&col,&v,INSERT_VALUES);CHKERRQ(ierr);
4509       ++count;
4510     }
4511   }
4512   /* FIXME: set C's nonzerostate correctly. */
4513   /* Assembly for C is necessary. */
4514   C->preallocated = PETSC_TRUE;
4515   C->assembled     = PETSC_TRUE;
4516   C->was_assembled = PETSC_FALSE;
4517   PetscFunctionReturn(0);
4518 }
4519 
4520 PetscFunctionList MatSeqAIJList = NULL;
4521 
4522 /*@C
4523    MatSeqAIJSetType - Converts a MATSEQAIJ matrix to a subtype
4524 
4525    Collective on Mat
4526 
4527    Input Parameters:
4528 +  mat      - the matrix object
4529 -  matype   - matrix type
4530 
4531    Options Database Key:
4532 .  -mat_seqai_type  <method> - for example seqaijcrl
4533 
4534 
4535   Level: intermediate
4536 
4537 .keywords: Mat, MatType, set, method
4538 
4539 .seealso: PCSetType(), VecSetType(), MatCreate(), MatType, Mat
4540 @*/
4541 PetscErrorCode  MatSeqAIJSetType(Mat mat, MatType matype)
4542 {
4543   PetscErrorCode ierr,(*r)(Mat,const MatType,MatReuse,Mat*);
4544   PetscBool      sametype;
4545 
4546   PetscFunctionBegin;
4547   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
4548   ierr = PetscObjectTypeCompare((PetscObject)mat,matype,&sametype);CHKERRQ(ierr);
4549   if (sametype) PetscFunctionReturn(0);
4550 
4551   ierr =  PetscFunctionListFind(MatSeqAIJList,matype,&r);CHKERRQ(ierr);
4552   if (!r) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_UNKNOWN_TYPE,"Unknown Mat type given: %s",matype);
4553   ierr = (*r)(mat,matype,MAT_INPLACE_MATRIX,&mat);CHKERRQ(ierr);
4554   PetscFunctionReturn(0);
4555 }
4556 
4557 
4558 /*@C
4559   MatSeqAIJRegister -  - Adds a new sub-matrix type for sequential AIJ matrices
4560 
4561    Not Collective
4562 
4563    Input Parameters:
4564 +  name - name of a new user-defined matrix type, for example MATSEQAIJCRL
4565 -  function - routine to convert to subtype
4566 
4567    Notes:
4568    MatSeqAIJRegister() may be called multiple times to add several user-defined solvers.
4569 
4570 
4571    Then, your matrix can be chosen with the procedural interface at runtime via the option
4572 $     -mat_seqaij_type my_mat
4573 
4574    Level: advanced
4575 
4576 .keywords: Mat, register
4577 
4578 .seealso: MatSeqAIJRegisterAll()
4579 
4580 
4581   Level: advanced
4582 @*/
4583 PetscErrorCode  MatSeqAIJRegister(const char sname[],PetscErrorCode (*function)(Mat,MatType,MatReuse,Mat *))
4584 {
4585   PetscErrorCode ierr;
4586 
4587   PetscFunctionBegin;
4588   ierr = PetscFunctionListAdd(&MatSeqAIJList,sname,function);CHKERRQ(ierr);
4589   PetscFunctionReturn(0);
4590 }
4591 
4592 PetscBool MatSeqAIJRegisterAllCalled = PETSC_FALSE;
4593 
4594 /*@C
4595   MatSeqAIJRegisterAll - Registers all of the matrix subtypes of SeqAIJ
4596 
4597   Not Collective
4598 
4599   Level: advanced
4600 
4601   Developers Note: CUSP and CUSPARSE do not yet support the  MatConvert_SeqAIJ..() paradigm and thus cannot be registered here
4602 
4603 .keywords: KSP, register, all
4604 
4605 .seealso:  MatRegisterAll(), MatSeqAIJRegister()
4606 @*/
4607 PetscErrorCode  MatSeqAIJRegisterAll(void)
4608 {
4609   PetscErrorCode ierr;
4610 
4611   PetscFunctionBegin;
4612   if (MatSeqAIJRegisterAllCalled) PetscFunctionReturn(0);
4613   MatSeqAIJRegisterAllCalled = PETSC_TRUE;
4614 
4615   ierr = MatSeqAIJRegister(MATSEQAIJCRL,      MatConvert_SeqAIJ_SeqAIJCRL);CHKERRQ(ierr);
4616   ierr = MatSeqAIJRegister(MATSEQAIJPERM,     MatConvert_SeqAIJ_SeqAIJPERM);CHKERRQ(ierr);
4617 #if defined(PETSC_HAVE_MKL_SPARSE)
4618   ierr = MatSeqAIJRegister(MATSEQAIJMKL,      MatConvert_SeqAIJ_SeqAIJMKL);CHKERRQ(ierr);
4619 #endif
4620 #if defined(PETSC_HAVE_VIENNACL) && defined(PETSC_HAVE_VIENNACL_NO_CUDA)
4621   ierr = MatSeqAIJRegister(MATMPIAIJVIENNACL, MatConvert_SeqAIJ_SeqAIJViennaCL);CHKERRQ(ierr);
4622 #endif
4623   PetscFunctionReturn(0);
4624 }
4625 
4626 /*
4627     Special version for direct calls from Fortran
4628 */
4629 #include <petsc/private/fortranimpl.h>
4630 #if defined(PETSC_HAVE_FORTRAN_CAPS)
4631 #define matsetvaluesseqaij_ MATSETVALUESSEQAIJ
4632 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
4633 #define matsetvaluesseqaij_ matsetvaluesseqaij
4634 #endif
4635 
4636 /* Change these macros so can be used in void function */
4637 #undef CHKERRQ
4638 #define CHKERRQ(ierr) CHKERRABORT(PetscObjectComm((PetscObject)A),ierr)
4639 #undef SETERRQ2
4640 #define SETERRQ2(comm,ierr,b,c,d) CHKERRABORT(comm,ierr)
4641 #undef SETERRQ3
4642 #define SETERRQ3(comm,ierr,b,c,d,e) CHKERRABORT(comm,ierr)
4643 
4644 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)
4645 {
4646   Mat            A  = *AA;
4647   PetscInt       m  = *mm, n = *nn;
4648   InsertMode     is = *isis;
4649   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
4650   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
4651   PetscInt       *imax,*ai,*ailen;
4652   PetscErrorCode ierr;
4653   PetscInt       *aj,nonew = a->nonew,lastcol = -1;
4654   MatScalar      *ap,value,*aa;
4655   PetscBool      ignorezeroentries = a->ignorezeroentries;
4656   PetscBool      roworiented       = a->roworiented;
4657 
4658   PetscFunctionBegin;
4659   MatCheckPreallocated(A,1);
4660   imax  = a->imax;
4661   ai    = a->i;
4662   ailen = a->ilen;
4663   aj    = a->j;
4664   aa    = a->a;
4665 
4666   for (k=0; k<m; k++) { /* loop over added rows */
4667     row = im[k];
4668     if (row < 0) continue;
4669 #if defined(PETSC_USE_DEBUG)
4670     if (row >= A->rmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Row too large");
4671 #endif
4672     rp   = aj + ai[row]; ap = aa + ai[row];
4673     rmax = imax[row]; nrow = ailen[row];
4674     low  = 0;
4675     high = nrow;
4676     for (l=0; l<n; l++) { /* loop over added columns */
4677       if (in[l] < 0) continue;
4678 #if defined(PETSC_USE_DEBUG)
4679       if (in[l] >= A->cmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Column too large");
4680 #endif
4681       col = in[l];
4682       if (roworiented) value = v[l + k*n];
4683       else value = v[k + l*m];
4684 
4685       if (value == 0.0 && ignorezeroentries && (is == ADD_VALUES)) continue;
4686 
4687       if (col <= lastcol) low = 0;
4688       else high = nrow;
4689       lastcol = col;
4690       while (high-low > 5) {
4691         t = (low+high)/2;
4692         if (rp[t] > col) high = t;
4693         else             low  = t;
4694       }
4695       for (i=low; i<high; i++) {
4696         if (rp[i] > col) break;
4697         if (rp[i] == col) {
4698           if (is == ADD_VALUES) ap[i] += value;
4699           else                  ap[i] = value;
4700           goto noinsert;
4701         }
4702       }
4703       if (value == 0.0 && ignorezeroentries) goto noinsert;
4704       if (nonew == 1) goto noinsert;
4705       if (nonew == -1) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero in the matrix");
4706       MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
4707       N = nrow++ - 1; a->nz++; high++;
4708       /* shift up all the later entries in this row */
4709       for (ii=N; ii>=i; ii--) {
4710         rp[ii+1] = rp[ii];
4711         ap[ii+1] = ap[ii];
4712       }
4713       rp[i] = col;
4714       ap[i] = value;
4715       A->nonzerostate++;
4716 noinsert:;
4717       low = i + 1;
4718     }
4719     ailen[row] = nrow;
4720   }
4721   PetscFunctionReturnVoid();
4722 }
4723 
4724