xref: /petsc/src/mat/impls/aij/seq/aij.c (revision 3d96e9964ff330fd2a9eee374bcd4376da7efe60)
1 
2 /*
3     Defines the basic matrix operations for the AIJ (compressed row)
4   matrix storage format.
5 */
6 
7 
8 #include <../src/mat/impls/aij/seq/aij.h>          /*I "petscmat.h" I*/
9 #include <petscblaslapack.h>
10 #include <petscbt.h>
11 #include <petsc/private/kernels/blocktranspose.h>
12 
13 PetscErrorCode MatSeqAIJSetTypeFromOptions(Mat A)
14 {
15   PetscErrorCode       ierr;
16   PetscBool            flg;
17   char                 type[256];
18 
19   PetscFunctionBegin;
20   ierr = PetscObjectOptionsBegin((PetscObject)A);
21   ierr = PetscOptionsFList("-mat_seqaij_type","Matrix SeqAIJ type","MatSeqAIJSetType",MatSeqAIJList,"seqaij",type,256,&flg);CHKERRQ(ierr);
22   if (flg) {
23     ierr = MatSeqAIJSetType(A,type);CHKERRQ(ierr);
24   }
25   ierr = PetscOptionsEnd();CHKERRQ(ierr);
26   PetscFunctionReturn(0);
27 }
28 
29 PetscErrorCode MatGetColumnNorms_SeqAIJ(Mat A,NormType type,PetscReal *norms)
30 {
31   PetscErrorCode ierr;
32   PetscInt       i,m,n;
33   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)A->data;
34 
35   PetscFunctionBegin;
36   ierr = MatGetSize(A,&m,&n);CHKERRQ(ierr);
37   ierr = PetscMemzero(norms,n*sizeof(PetscReal));CHKERRQ(ierr);
38   if (type == NORM_2) {
39     for (i=0; i<aij->i[m]; i++) {
40       norms[aij->j[i]] += PetscAbsScalar(aij->a[i]*aij->a[i]);
41     }
42   } else if (type == NORM_1) {
43     for (i=0; i<aij->i[m]; i++) {
44       norms[aij->j[i]] += PetscAbsScalar(aij->a[i]);
45     }
46   } else if (type == NORM_INFINITY) {
47     for (i=0; i<aij->i[m]; i++) {
48       norms[aij->j[i]] = PetscMax(PetscAbsScalar(aij->a[i]),norms[aij->j[i]]);
49     }
50   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Unknown NormType");
51 
52   if (type == NORM_2) {
53     for (i=0; i<n; i++) norms[i] = PetscSqrtReal(norms[i]);
54   }
55   PetscFunctionReturn(0);
56 }
57 
58 PetscErrorCode MatFindOffBlockDiagonalEntries_SeqAIJ(Mat A,IS *is)
59 {
60   Mat_SeqAIJ      *a  = (Mat_SeqAIJ*)A->data;
61   PetscInt        i,m=A->rmap->n,cnt = 0, bs = A->rmap->bs;
62   const PetscInt  *jj = a->j,*ii = a->i;
63   PetscInt        *rows;
64   PetscErrorCode  ierr;
65 
66   PetscFunctionBegin;
67   for (i=0; i<m; i++) {
68     if ((ii[i] != ii[i+1]) && ((jj[ii[i]] < bs*(i/bs)) || (jj[ii[i+1]-1] > bs*((i+bs)/bs)-1))) {
69       cnt++;
70     }
71   }
72   ierr = PetscMalloc1(cnt,&rows);CHKERRQ(ierr);
73   cnt  = 0;
74   for (i=0; i<m; i++) {
75     if ((ii[i] != ii[i+1]) && ((jj[ii[i]] < bs*(i/bs)) || (jj[ii[i+1]-1] > bs*((i+bs)/bs)-1))) {
76       rows[cnt] = i;
77       cnt++;
78     }
79   }
80   ierr = ISCreateGeneral(PETSC_COMM_SELF,cnt,rows,PETSC_OWN_POINTER,is);CHKERRQ(ierr);
81   PetscFunctionReturn(0);
82 }
83 
84 PetscErrorCode MatFindZeroDiagonals_SeqAIJ_Private(Mat A,PetscInt *nrows,PetscInt **zrows)
85 {
86   Mat_SeqAIJ      *a  = (Mat_SeqAIJ*)A->data;
87   const MatScalar *aa = a->a;
88   PetscInt        i,m=A->rmap->n,cnt = 0;
89   const PetscInt  *ii = a->i,*jj = a->j,*diag;
90   PetscInt        *rows;
91   PetscErrorCode  ierr;
92 
93   PetscFunctionBegin;
94   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
95   diag = a->diag;
96   for (i=0; i<m; i++) {
97     if ((diag[i] >= ii[i+1]) || (jj[diag[i]] != i) || (aa[diag[i]] == 0.0)) {
98       cnt++;
99     }
100   }
101   ierr = PetscMalloc1(cnt,&rows);CHKERRQ(ierr);
102   cnt  = 0;
103   for (i=0; i<m; i++) {
104     if ((diag[i] >= ii[i+1]) || (jj[diag[i]] != i) || (aa[diag[i]] == 0.0)) {
105       rows[cnt++] = i;
106     }
107   }
108   *nrows = cnt;
109   *zrows = rows;
110   PetscFunctionReturn(0);
111 }
112 
113 PetscErrorCode MatFindZeroDiagonals_SeqAIJ(Mat A,IS *zrows)
114 {
115   PetscInt       nrows,*rows;
116   PetscErrorCode ierr;
117 
118   PetscFunctionBegin;
119   *zrows = NULL;
120   ierr   = MatFindZeroDiagonals_SeqAIJ_Private(A,&nrows,&rows);CHKERRQ(ierr);
121   ierr   = ISCreateGeneral(PetscObjectComm((PetscObject)A),nrows,rows,PETSC_OWN_POINTER,zrows);CHKERRQ(ierr);
122   PetscFunctionReturn(0);
123 }
124 
125 PetscErrorCode MatFindNonzeroRows_SeqAIJ(Mat A,IS *keptrows)
126 {
127   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
128   const MatScalar *aa;
129   PetscInt        m=A->rmap->n,cnt = 0;
130   const PetscInt  *ii;
131   PetscInt        n,i,j,*rows;
132   PetscErrorCode  ierr;
133 
134   PetscFunctionBegin;
135   *keptrows = 0;
136   ii        = a->i;
137   for (i=0; i<m; i++) {
138     n = ii[i+1] - ii[i];
139     if (!n) {
140       cnt++;
141       goto ok1;
142     }
143     aa = a->a + ii[i];
144     for (j=0; j<n; j++) {
145       if (aa[j] != 0.0) goto ok1;
146     }
147     cnt++;
148 ok1:;
149   }
150   if (!cnt) PetscFunctionReturn(0);
151   ierr = PetscMalloc1(A->rmap->n-cnt,&rows);CHKERRQ(ierr);
152   cnt  = 0;
153   for (i=0; i<m; i++) {
154     n = ii[i+1] - ii[i];
155     if (!n) continue;
156     aa = a->a + ii[i];
157     for (j=0; j<n; j++) {
158       if (aa[j] != 0.0) {
159         rows[cnt++] = i;
160         break;
161       }
162     }
163   }
164   ierr = ISCreateGeneral(PETSC_COMM_SELF,cnt,rows,PETSC_OWN_POINTER,keptrows);CHKERRQ(ierr);
165   PetscFunctionReturn(0);
166 }
167 
168 PetscErrorCode  MatDiagonalSet_SeqAIJ(Mat Y,Vec D,InsertMode is)
169 {
170   PetscErrorCode    ierr;
171   Mat_SeqAIJ        *aij = (Mat_SeqAIJ*) Y->data;
172   PetscInt          i,m = Y->rmap->n;
173   const PetscInt    *diag;
174   MatScalar         *aa = aij->a;
175   const PetscScalar *v;
176   PetscBool         missing;
177 
178   PetscFunctionBegin;
179   if (Y->assembled) {
180     ierr = MatMissingDiagonal_SeqAIJ(Y,&missing,NULL);CHKERRQ(ierr);
181     if (!missing) {
182       diag = aij->diag;
183       ierr = VecGetArrayRead(D,&v);CHKERRQ(ierr);
184       if (is == INSERT_VALUES) {
185         for (i=0; i<m; i++) {
186           aa[diag[i]] = v[i];
187         }
188       } else {
189         for (i=0; i<m; i++) {
190           aa[diag[i]] += v[i];
191         }
192       }
193       ierr = VecRestoreArrayRead(D,&v);CHKERRQ(ierr);
194       PetscFunctionReturn(0);
195     }
196     ierr = MatSeqAIJInvalidateDiagonal(Y);CHKERRQ(ierr);
197   }
198   ierr = MatDiagonalSet_Default(Y,D,is);CHKERRQ(ierr);
199   PetscFunctionReturn(0);
200 }
201 
202 PetscErrorCode MatGetRowIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *m,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
203 {
204   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
205   PetscErrorCode ierr;
206   PetscInt       i,ishift;
207 
208   PetscFunctionBegin;
209   *m = A->rmap->n;
210   if (!ia) PetscFunctionReturn(0);
211   ishift = 0;
212   if (symmetric && !A->structurally_symmetric) {
213     ierr = MatToSymmetricIJ_SeqAIJ(A->rmap->n,a->i,a->j,PETSC_TRUE,ishift,oshift,(PetscInt**)ia,(PetscInt**)ja);CHKERRQ(ierr);
214   } else if (oshift == 1) {
215     PetscInt *tia;
216     PetscInt nz = a->i[A->rmap->n];
217     /* malloc space and  add 1 to i and j indices */
218     ierr = PetscMalloc1(A->rmap->n+1,&tia);CHKERRQ(ierr);
219     for (i=0; i<A->rmap->n+1; i++) tia[i] = a->i[i] + 1;
220     *ia = tia;
221     if (ja) {
222       PetscInt *tja;
223       ierr = PetscMalloc1(nz+1,&tja);CHKERRQ(ierr);
224       for (i=0; i<nz; i++) tja[i] = a->j[i] + 1;
225       *ja = tja;
226     }
227   } else {
228     *ia = a->i;
229     if (ja) *ja = a->j;
230   }
231   PetscFunctionReturn(0);
232 }
233 
234 PetscErrorCode MatRestoreRowIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
235 {
236   PetscErrorCode ierr;
237 
238   PetscFunctionBegin;
239   if (!ia) PetscFunctionReturn(0);
240   if ((symmetric && !A->structurally_symmetric) || oshift == 1) {
241     ierr = PetscFree(*ia);CHKERRQ(ierr);
242     if (ja) {ierr = PetscFree(*ja);CHKERRQ(ierr);}
243   }
244   PetscFunctionReturn(0);
245 }
246 
247 PetscErrorCode MatGetColumnIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
248 {
249   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
250   PetscErrorCode ierr;
251   PetscInt       i,*collengths,*cia,*cja,n = A->cmap->n,m = A->rmap->n;
252   PetscInt       nz = a->i[m],row,*jj,mr,col;
253 
254   PetscFunctionBegin;
255   *nn = n;
256   if (!ia) PetscFunctionReturn(0);
257   if (symmetric) {
258     ierr = MatToSymmetricIJ_SeqAIJ(A->rmap->n,a->i,a->j,PETSC_TRUE,0,oshift,(PetscInt**)ia,(PetscInt**)ja);CHKERRQ(ierr);
259   } else {
260     ierr = PetscCalloc1(n+1,&collengths);CHKERRQ(ierr);
261     ierr = PetscMalloc1(n+1,&cia);CHKERRQ(ierr);
262     ierr = PetscMalloc1(nz+1,&cja);CHKERRQ(ierr);
263     jj   = a->j;
264     for (i=0; i<nz; i++) {
265       collengths[jj[i]]++;
266     }
267     cia[0] = oshift;
268     for (i=0; i<n; i++) {
269       cia[i+1] = cia[i] + collengths[i];
270     }
271     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
272     jj   = a->j;
273     for (row=0; row<m; row++) {
274       mr = a->i[row+1] - a->i[row];
275       for (i=0; i<mr; i++) {
276         col = *jj++;
277 
278         cja[cia[col] + collengths[col]++ - oshift] = row + oshift;
279       }
280     }
281     ierr = PetscFree(collengths);CHKERRQ(ierr);
282     *ia  = cia; *ja = cja;
283   }
284   PetscFunctionReturn(0);
285 }
286 
287 PetscErrorCode MatRestoreColumnIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
288 {
289   PetscErrorCode ierr;
290 
291   PetscFunctionBegin;
292   if (!ia) PetscFunctionReturn(0);
293 
294   ierr = PetscFree(*ia);CHKERRQ(ierr);
295   ierr = PetscFree(*ja);CHKERRQ(ierr);
296   PetscFunctionReturn(0);
297 }
298 
299 /*
300  MatGetColumnIJ_SeqAIJ_Color() and MatRestoreColumnIJ_SeqAIJ_Color() are customized from
301  MatGetColumnIJ_SeqAIJ() and MatRestoreColumnIJ_SeqAIJ() by adding an output
302  spidx[], index of a->a, to be used in MatTransposeColoringCreate_SeqAIJ() and MatFDColoringCreate_SeqXAIJ()
303 */
304 PetscErrorCode MatGetColumnIJ_SeqAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
305 {
306   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
307   PetscErrorCode ierr;
308   PetscInt       i,*collengths,*cia,*cja,n = A->cmap->n,m = A->rmap->n;
309   PetscInt       nz = a->i[m],row,*jj,mr,col;
310   PetscInt       *cspidx;
311 
312   PetscFunctionBegin;
313   *nn = n;
314   if (!ia) PetscFunctionReturn(0);
315 
316   ierr = PetscCalloc1(n+1,&collengths);CHKERRQ(ierr);
317   ierr = PetscMalloc1(n+1,&cia);CHKERRQ(ierr);
318   ierr = PetscMalloc1(nz+1,&cja);CHKERRQ(ierr);
319   ierr = PetscMalloc1(nz+1,&cspidx);CHKERRQ(ierr);
320   jj   = a->j;
321   for (i=0; i<nz; i++) {
322     collengths[jj[i]]++;
323   }
324   cia[0] = oshift;
325   for (i=0; i<n; i++) {
326     cia[i+1] = cia[i] + collengths[i];
327   }
328   ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
329   jj   = a->j;
330   for (row=0; row<m; row++) {
331     mr = a->i[row+1] - a->i[row];
332     for (i=0; i<mr; i++) {
333       col = *jj++;
334       cspidx[cia[col] + collengths[col] - oshift] = a->i[row] + i; /* index of a->j */
335       cja[cia[col] + collengths[col]++ - oshift]  = row + oshift;
336     }
337   }
338   ierr   = PetscFree(collengths);CHKERRQ(ierr);
339   *ia    = cia; *ja = cja;
340   *spidx = cspidx;
341   PetscFunctionReturn(0);
342 }
343 
344 PetscErrorCode MatRestoreColumnIJ_SeqAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
345 {
346   PetscErrorCode ierr;
347 
348   PetscFunctionBegin;
349   ierr = MatRestoreColumnIJ_SeqAIJ(A,oshift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
350   ierr = PetscFree(*spidx);CHKERRQ(ierr);
351   PetscFunctionReturn(0);
352 }
353 
354 PetscErrorCode MatSetValuesRow_SeqAIJ(Mat A,PetscInt row,const PetscScalar v[])
355 {
356   Mat_SeqAIJ     *a  = (Mat_SeqAIJ*)A->data;
357   PetscInt       *ai = a->i;
358   PetscErrorCode ierr;
359 
360   PetscFunctionBegin;
361   ierr = PetscMemcpy(a->a+ai[row],v,(ai[row+1]-ai[row])*sizeof(PetscScalar));CHKERRQ(ierr);
362   PetscFunctionReturn(0);
363 }
364 
365 /*
366     MatSeqAIJSetValuesLocalFast - An optimized version of MatSetValuesLocal() for SeqAIJ matrices with several assumptions
367 
368       -   a single row of values is set with each call
369       -   no row or column indices are negative or (in error) larger than the number of rows or columns
370       -   the values are always added to the matrix, not set
371       -   no new locations are introduced in the nonzero structure of the matrix
372 
373      This does NOT assume the global column indices are sorted
374 
375 */
376 
377 #include <petsc/private/isimpl.h>
378 PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
379 {
380   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
381   PetscInt       low,high,t,row,nrow,i,col,l;
382   const PetscInt *rp,*ai = a->i,*ailen = a->ilen,*aj = a->j;
383   PetscInt       lastcol = -1;
384   MatScalar      *ap,value,*aa = a->a;
385   const PetscInt *ridx = A->rmap->mapping->indices,*cidx = A->cmap->mapping->indices;
386 
387   row = ridx[im[0]];
388   rp   = aj + ai[row];
389   ap = aa + ai[row];
390   nrow = ailen[row];
391   low  = 0;
392   high = nrow;
393   for (l=0; l<n; l++) { /* loop over added columns */
394     col = cidx[in[l]];
395     value = v[l];
396 
397     if (col <= lastcol) low = 0;
398     else high = nrow;
399     lastcol = col;
400     while (high-low > 5) {
401       t = (low+high)/2;
402       if (rp[t] > col) high = t;
403       else low = t;
404     }
405     for (i=low; i<high; i++) {
406       if (rp[i] == col) {
407         ap[i] += value;
408         low = i + 1;
409         break;
410       }
411     }
412   }
413   return 0;
414 }
415 
416 PetscErrorCode MatSetValues_SeqAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
417 {
418   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
419   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
420   PetscInt       *imax = a->imax,*ai = a->i,*ailen = a->ilen;
421   PetscErrorCode ierr;
422   PetscInt       *aj = a->j,nonew = a->nonew,lastcol = -1;
423   MatScalar      *ap=NULL,value=0.0,*aa = a->a;
424   PetscBool      ignorezeroentries = a->ignorezeroentries;
425   PetscBool      roworiented       = a->roworiented;
426 
427   PetscFunctionBegin;
428   for (k=0; k<m; k++) { /* loop over added rows */
429     row = im[k];
430     if (row < 0) continue;
431 #if defined(PETSC_USE_DEBUG)
432     if (row >= A->rmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,A->rmap->n-1);
433 #endif
434     rp   = aj + ai[row];
435     if (!A->structure_only) ap = aa + ai[row];
436     rmax = imax[row]; nrow = ailen[row];
437     low  = 0;
438     high = nrow;
439     for (l=0; l<n; l++) { /* loop over added columns */
440       if (in[l] < 0) continue;
441 #if defined(PETSC_USE_DEBUG)
442       if (in[l] >= A->cmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],A->cmap->n-1);
443 #endif
444       col = in[l];
445       if (!A->structure_only) {
446         if (roworiented) {
447           value = v[l + k*n];
448         } else {
449           value = v[k + l*m];
450         }
451       } else { /* A->structure_only */
452         value = 1; /* avoid 'continue' below?  */
453       }
454       if ((value == 0.0 && ignorezeroentries) && (is == ADD_VALUES) && row != col) continue;
455 
456       if (col <= lastcol) low = 0;
457       else high = nrow;
458       lastcol = col;
459       while (high-low > 5) {
460         t = (low+high)/2;
461         if (rp[t] > col) high = t;
462         else low = t;
463       }
464       for (i=low; i<high; i++) {
465         if (rp[i] > col) break;
466         if (rp[i] == col) {
467           if (!A->structure_only) {
468             if (is == ADD_VALUES) ap[i] += value;
469             else ap[i] = value;
470           }
471           low = i + 1;
472           goto noinsert;
473         }
474       }
475       if (value == 0.0 && ignorezeroentries && row != col) goto noinsert;
476       if (nonew == 1) goto noinsert;
477       if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero at (%D,%D) in the matrix",row,col);
478       if (A->structure_only) {
479         MatSeqXAIJReallocateAIJ_structure_only(A,A->rmap->n,1,nrow,row,col,rmax,ai,aj,rp,imax,nonew,MatScalar);
480       } else {
481         MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
482       }
483       N = nrow++ - 1; a->nz++; high++;
484       /* shift up all the later entries in this row */
485       for (ii=N; ii>=i; ii--) {
486         rp[ii+1] = rp[ii];
487         if (!A->structure_only) ap[ii+1] = ap[ii];
488       }
489       rp[i] = col;
490       if (!A->structure_only) ap[i] = value;
491       low   = i + 1;
492       A->nonzerostate++;
493 noinsert:;
494     }
495     ailen[row] = nrow;
496   }
497   PetscFunctionReturn(0);
498 }
499 
500 
501 PetscErrorCode MatGetValues_SeqAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],PetscScalar v[])
502 {
503   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
504   PetscInt   *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
505   PetscInt   *ai = a->i,*ailen = a->ilen;
506   MatScalar  *ap,*aa = a->a;
507 
508   PetscFunctionBegin;
509   for (k=0; k<m; k++) { /* loop over rows */
510     row = im[k];
511     if (row < 0) {v += n; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",row); */
512     if (row >= A->rmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,A->rmap->n-1);
513     rp   = aj + ai[row]; ap = aa + ai[row];
514     nrow = ailen[row];
515     for (l=0; l<n; l++) { /* loop over columns */
516       if (in[l] < 0) {v++; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column: %D",in[l]); */
517       if (in[l] >= A->cmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],A->cmap->n-1);
518       col  = in[l];
519       high = nrow; low = 0; /* assume unsorted */
520       while (high-low > 5) {
521         t = (low+high)/2;
522         if (rp[t] > col) high = t;
523         else low = t;
524       }
525       for (i=low; i<high; i++) {
526         if (rp[i] > col) break;
527         if (rp[i] == col) {
528           *v++ = ap[i];
529           goto finished;
530         }
531       }
532       *v++ = 0.0;
533 finished:;
534     }
535   }
536   PetscFunctionReturn(0);
537 }
538 
539 
540 PetscErrorCode MatView_SeqAIJ_Binary(Mat A,PetscViewer viewer)
541 {
542   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
543   PetscErrorCode ierr;
544   PetscInt       i,*col_lens;
545   int            fd;
546   FILE           *file;
547 
548   PetscFunctionBegin;
549   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
550   ierr = PetscMalloc1(4+A->rmap->n,&col_lens);CHKERRQ(ierr);
551 
552   col_lens[0] = MAT_FILE_CLASSID;
553   col_lens[1] = A->rmap->n;
554   col_lens[2] = A->cmap->n;
555   col_lens[3] = a->nz;
556 
557   /* store lengths of each row and write (including header) to file */
558   for (i=0; i<A->rmap->n; i++) {
559     col_lens[4+i] = a->i[i+1] - a->i[i];
560   }
561   ierr = PetscBinaryWrite(fd,col_lens,4+A->rmap->n,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
562   ierr = PetscFree(col_lens);CHKERRQ(ierr);
563 
564   /* store column indices (zero start index) */
565   ierr = PetscBinaryWrite(fd,a->j,a->nz,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
566 
567   /* store nonzero values */
568   ierr = PetscBinaryWrite(fd,a->a,a->nz,PETSC_SCALAR,PETSC_FALSE);CHKERRQ(ierr);
569 
570   ierr = PetscViewerBinaryGetInfoPointer(viewer,&file);CHKERRQ(ierr);
571   if (file) {
572     fprintf(file,"-matload_block_size %d\n",(int)PetscAbs(A->rmap->bs));
573   }
574   PetscFunctionReturn(0);
575 }
576 
577 static PetscErrorCode MatView_SeqAIJ_ASCII_structonly(Mat A,PetscViewer viewer)
578 {
579   PetscErrorCode ierr;
580   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
581   PetscInt       i,k,m=A->rmap->N;
582 
583   PetscFunctionBegin;
584   ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
585   for (i=0; i<m; i++) {
586     ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
587     for (k=a->i[i]; k<a->i[i+1]; k++) {
588       ierr = PetscViewerASCIIPrintf(viewer," (%D) ",a->j[k]);CHKERRQ(ierr);
589     }
590     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
591   }
592   ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
593   PetscFunctionReturn(0);
594 }
595 
596 extern PetscErrorCode MatSeqAIJFactorInfo_Matlab(Mat,PetscViewer);
597 
598 PetscErrorCode MatView_SeqAIJ_ASCII(Mat A,PetscViewer viewer)
599 {
600   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
601   PetscErrorCode    ierr;
602   PetscInt          i,j,m = A->rmap->n;
603   const char        *name;
604   PetscViewerFormat format;
605 
606   PetscFunctionBegin;
607   if (A->structure_only) {
608     ierr = MatView_SeqAIJ_ASCII_structonly(A,viewer);CHKERRQ(ierr);
609     PetscFunctionReturn(0);
610   }
611 
612   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
613   if (format == PETSC_VIEWER_ASCII_MATLAB) {
614     PetscInt nofinalvalue = 0;
615     if (m && ((a->i[m] == a->i[m-1]) || (a->j[a->nz-1] != A->cmap->n-1))) {
616       /* Need a dummy value to ensure the dimension of the matrix. */
617       nofinalvalue = 1;
618     }
619     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
620     ierr = PetscViewerASCIIPrintf(viewer,"%% Size = %D %D \n",m,A->cmap->n);CHKERRQ(ierr);
621     ierr = PetscViewerASCIIPrintf(viewer,"%% Nonzeros = %D \n",a->nz);CHKERRQ(ierr);
622 #if defined(PETSC_USE_COMPLEX)
623     ierr = PetscViewerASCIIPrintf(viewer,"zzz = zeros(%D,4);\n",a->nz+nofinalvalue);CHKERRQ(ierr);
624 #else
625     ierr = PetscViewerASCIIPrintf(viewer,"zzz = zeros(%D,3);\n",a->nz+nofinalvalue);CHKERRQ(ierr);
626 #endif
627     ierr = PetscViewerASCIIPrintf(viewer,"zzz = [\n");CHKERRQ(ierr);
628 
629     for (i=0; i<m; i++) {
630       for (j=a->i[i]; j<a->i[i+1]; j++) {
631 #if defined(PETSC_USE_COMPLEX)
632         ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e %18.16e\n",i+1,a->j[j]+1,(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
633 #else
634         ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e\n",i+1,a->j[j]+1,(double)a->a[j]);CHKERRQ(ierr);
635 #endif
636       }
637     }
638     if (nofinalvalue) {
639 #if defined(PETSC_USE_COMPLEX)
640       ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e %18.16e\n",m,A->cmap->n,0.,0.);CHKERRQ(ierr);
641 #else
642       ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e\n",m,A->cmap->n,0.0);CHKERRQ(ierr);
643 #endif
644     }
645     ierr = PetscObjectGetName((PetscObject)A,&name);CHKERRQ(ierr);
646     ierr = PetscViewerASCIIPrintf(viewer,"];\n %s = spconvert(zzz);\n",name);CHKERRQ(ierr);
647     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
648   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO || format == PETSC_VIEWER_ASCII_INFO) {
649     PetscFunctionReturn(0);
650   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
651     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
652     for (i=0; i<m; i++) {
653       ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
654       for (j=a->i[i]; j<a->i[i+1]; j++) {
655 #if defined(PETSC_USE_COMPLEX)
656         if (PetscImaginaryPart(a->a[j]) > 0.0 && PetscRealPart(a->a[j]) != 0.0) {
657           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
658         } else if (PetscImaginaryPart(a->a[j]) < 0.0 && PetscRealPart(a->a[j]) != 0.0) {
659           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
660         } else if (PetscRealPart(a->a[j]) != 0.0) {
661           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
662         }
663 #else
664         if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);}
665 #endif
666       }
667       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
668     }
669     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
670   } else if (format == PETSC_VIEWER_ASCII_SYMMODU) {
671     PetscInt nzd=0,fshift=1,*sptr;
672     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
673     ierr = PetscMalloc1(m+1,&sptr);CHKERRQ(ierr);
674     for (i=0; i<m; i++) {
675       sptr[i] = nzd+1;
676       for (j=a->i[i]; j<a->i[i+1]; j++) {
677         if (a->j[j] >= i) {
678 #if defined(PETSC_USE_COMPLEX)
679           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) nzd++;
680 #else
681           if (a->a[j] != 0.0) nzd++;
682 #endif
683         }
684       }
685     }
686     sptr[m] = nzd+1;
687     ierr    = PetscViewerASCIIPrintf(viewer," %D %D\n\n",m,nzd);CHKERRQ(ierr);
688     for (i=0; i<m+1; i+=6) {
689       if (i+4<m) {
690         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2],sptr[i+3],sptr[i+4],sptr[i+5]);CHKERRQ(ierr);
691       } else if (i+3<m) {
692         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2],sptr[i+3],sptr[i+4]);CHKERRQ(ierr);
693       } else if (i+2<m) {
694         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2],sptr[i+3]);CHKERRQ(ierr);
695       } else if (i+1<m) {
696         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2]);CHKERRQ(ierr);
697       } else if (i<m) {
698         ierr = PetscViewerASCIIPrintf(viewer," %D %D\n",sptr[i],sptr[i+1]);CHKERRQ(ierr);
699       } else {
700         ierr = PetscViewerASCIIPrintf(viewer," %D\n",sptr[i]);CHKERRQ(ierr);
701       }
702     }
703     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
704     ierr = PetscFree(sptr);CHKERRQ(ierr);
705     for (i=0; i<m; i++) {
706       for (j=a->i[i]; j<a->i[i+1]; j++) {
707         if (a->j[j] >= i) {ierr = PetscViewerASCIIPrintf(viewer," %D ",a->j[j]+fshift);CHKERRQ(ierr);}
708       }
709       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
710     }
711     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
712     for (i=0; i<m; i++) {
713       for (j=a->i[i]; j<a->i[i+1]; j++) {
714         if (a->j[j] >= i) {
715 #if defined(PETSC_USE_COMPLEX)
716           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) {
717             ierr = PetscViewerASCIIPrintf(viewer," %18.16e %18.16e ",(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
718           }
719 #else
720           if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," %18.16e ",(double)a->a[j]);CHKERRQ(ierr);}
721 #endif
722         }
723       }
724       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
725     }
726     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
727   } else if (format == PETSC_VIEWER_ASCII_DENSE) {
728     PetscInt    cnt = 0,jcnt;
729     PetscScalar value;
730 #if defined(PETSC_USE_COMPLEX)
731     PetscBool   realonly = PETSC_TRUE;
732 
733     for (i=0; i<a->i[m]; i++) {
734       if (PetscImaginaryPart(a->a[i]) != 0.0) {
735         realonly = PETSC_FALSE;
736         break;
737       }
738     }
739 #endif
740 
741     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
742     for (i=0; i<m; i++) {
743       jcnt = 0;
744       for (j=0; j<A->cmap->n; j++) {
745         if (jcnt < a->i[i+1]-a->i[i] && j == a->j[cnt]) {
746           value = a->a[cnt++];
747           jcnt++;
748         } else {
749           value = 0.0;
750         }
751 #if defined(PETSC_USE_COMPLEX)
752         if (realonly) {
753           ierr = PetscViewerASCIIPrintf(viewer," %7.5e ",(double)PetscRealPart(value));CHKERRQ(ierr);
754         } else {
755           ierr = PetscViewerASCIIPrintf(viewer," %7.5e+%7.5e i ",(double)PetscRealPart(value),(double)PetscImaginaryPart(value));CHKERRQ(ierr);
756         }
757 #else
758         ierr = PetscViewerASCIIPrintf(viewer," %7.5e ",(double)value);CHKERRQ(ierr);
759 #endif
760       }
761       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
762     }
763     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
764   } else if (format == PETSC_VIEWER_ASCII_MATRIXMARKET) {
765     PetscInt fshift=1;
766     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
767 #if defined(PETSC_USE_COMPLEX)
768     ierr = PetscViewerASCIIPrintf(viewer,"%%%%MatrixMarket matrix coordinate complex general\n");CHKERRQ(ierr);
769 #else
770     ierr = PetscViewerASCIIPrintf(viewer,"%%%%MatrixMarket matrix coordinate real general\n");CHKERRQ(ierr);
771 #endif
772     ierr = PetscViewerASCIIPrintf(viewer,"%D %D %D\n", m, A->cmap->n, a->nz);CHKERRQ(ierr);
773     for (i=0; i<m; i++) {
774       for (j=a->i[i]; j<a->i[i+1]; j++) {
775 #if defined(PETSC_USE_COMPLEX)
776         ierr = PetscViewerASCIIPrintf(viewer,"%D %D %g %g\n", i+fshift,a->j[j]+fshift,(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
777 #else
778         ierr = PetscViewerASCIIPrintf(viewer,"%D %D %g\n", i+fshift, a->j[j]+fshift, (double)a->a[j]);CHKERRQ(ierr);
779 #endif
780       }
781     }
782     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
783   } else {
784     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
785     if (A->factortype) {
786       for (i=0; i<m; i++) {
787         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
788         /* L part */
789         for (j=a->i[i]; j<a->i[i+1]; j++) {
790 #if defined(PETSC_USE_COMPLEX)
791           if (PetscImaginaryPart(a->a[j]) > 0.0) {
792             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
793           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
794             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)(-PetscImaginaryPart(a->a[j])));CHKERRQ(ierr);
795           } else {
796             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
797           }
798 #else
799           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);
800 #endif
801         }
802         /* diagonal */
803         j = a->diag[i];
804 #if defined(PETSC_USE_COMPLEX)
805         if (PetscImaginaryPart(a->a[j]) > 0.0) {
806           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(1.0/a->a[j]),(double)PetscImaginaryPart(1.0/a->a[j]));CHKERRQ(ierr);
807         } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
808           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(1.0/a->a[j]),(double)(-PetscImaginaryPart(1.0/a->a[j])));CHKERRQ(ierr);
809         } else {
810           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(1.0/a->a[j]));CHKERRQ(ierr);
811         }
812 #else
813         ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)(1.0/a->a[j]));CHKERRQ(ierr);
814 #endif
815 
816         /* U part */
817         for (j=a->diag[i+1]+1; j<a->diag[i]; j++) {
818 #if defined(PETSC_USE_COMPLEX)
819           if (PetscImaginaryPart(a->a[j]) > 0.0) {
820             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
821           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
822             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)(-PetscImaginaryPart(a->a[j])));CHKERRQ(ierr);
823           } else {
824             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
825           }
826 #else
827           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);
828 #endif
829         }
830         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
831       }
832     } else {
833       for (i=0; i<m; i++) {
834         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
835         for (j=a->i[i]; j<a->i[i+1]; j++) {
836 #if defined(PETSC_USE_COMPLEX)
837           if (PetscImaginaryPart(a->a[j]) > 0.0) {
838             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
839           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
840             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
841           } else {
842             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
843           }
844 #else
845           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);
846 #endif
847         }
848         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
849       }
850     }
851     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
852   }
853   ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
854   PetscFunctionReturn(0);
855 }
856 
857 #include <petscdraw.h>
858 PetscErrorCode MatView_SeqAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
859 {
860   Mat               A  = (Mat) Aa;
861   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
862   PetscErrorCode    ierr;
863   PetscInt          i,j,m = A->rmap->n;
864   int               color;
865   PetscReal         xl,yl,xr,yr,x_l,x_r,y_l,y_r;
866   PetscViewer       viewer;
867   PetscViewerFormat format;
868 
869   PetscFunctionBegin;
870   ierr = PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer);CHKERRQ(ierr);
871   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
872   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
873 
874   /* loop over matrix elements drawing boxes */
875 
876   if (format != PETSC_VIEWER_DRAW_CONTOUR) {
877     ierr = PetscDrawCollectiveBegin(draw);CHKERRQ(ierr);
878     /* Blue for negative, Cyan for zero and  Red for positive */
879     color = PETSC_DRAW_BLUE;
880     for (i=0; i<m; i++) {
881       y_l = m - i - 1.0; y_r = y_l + 1.0;
882       for (j=a->i[i]; j<a->i[i+1]; j++) {
883         x_l = a->j[j]; x_r = x_l + 1.0;
884         if (PetscRealPart(a->a[j]) >=  0.) continue;
885         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
886       }
887     }
888     color = PETSC_DRAW_CYAN;
889     for (i=0; i<m; i++) {
890       y_l = m - i - 1.0; y_r = y_l + 1.0;
891       for (j=a->i[i]; j<a->i[i+1]; j++) {
892         x_l = a->j[j]; x_r = x_l + 1.0;
893         if (a->a[j] !=  0.) continue;
894         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
895       }
896     }
897     color = PETSC_DRAW_RED;
898     for (i=0; i<m; i++) {
899       y_l = m - i - 1.0; y_r = y_l + 1.0;
900       for (j=a->i[i]; j<a->i[i+1]; j++) {
901         x_l = a->j[j]; x_r = x_l + 1.0;
902         if (PetscRealPart(a->a[j]) <=  0.) continue;
903         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
904       }
905     }
906     ierr = PetscDrawCollectiveEnd(draw);CHKERRQ(ierr);
907   } else {
908     /* use contour shading to indicate magnitude of values */
909     /* first determine max of all nonzero values */
910     PetscReal minv = 0.0, maxv = 0.0;
911     PetscInt  nz = a->nz, count = 0;
912     PetscDraw popup;
913 
914     for (i=0; i<nz; i++) {
915       if (PetscAbsScalar(a->a[i]) > maxv) maxv = PetscAbsScalar(a->a[i]);
916     }
917     if (minv >= maxv) maxv = minv + PETSC_SMALL;
918     ierr = PetscDrawGetPopup(draw,&popup);CHKERRQ(ierr);
919     ierr = PetscDrawScalePopup(popup,minv,maxv);CHKERRQ(ierr);
920 
921     ierr = PetscDrawCollectiveBegin(draw);CHKERRQ(ierr);
922     for (i=0; i<m; i++) {
923       y_l = m - i - 1.0;
924       y_r = y_l + 1.0;
925       for (j=a->i[i]; j<a->i[i+1]; j++) {
926         x_l = a->j[j];
927         x_r = x_l + 1.0;
928         color = PetscDrawRealToColor(PetscAbsScalar(a->a[count]),minv,maxv);
929         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
930         count++;
931       }
932     }
933     ierr = PetscDrawCollectiveEnd(draw);CHKERRQ(ierr);
934   }
935   PetscFunctionReturn(0);
936 }
937 
938 #include <petscdraw.h>
939 PetscErrorCode MatView_SeqAIJ_Draw(Mat A,PetscViewer viewer)
940 {
941   PetscErrorCode ierr;
942   PetscDraw      draw;
943   PetscReal      xr,yr,xl,yl,h,w;
944   PetscBool      isnull;
945 
946   PetscFunctionBegin;
947   ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
948   ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr);
949   if (isnull) PetscFunctionReturn(0);
950 
951   xr   = A->cmap->n; yr  = A->rmap->n; h = yr/10.0; w = xr/10.0;
952   xr  += w;          yr += h;         xl = -w;     yl = -h;
953   ierr = PetscDrawSetCoordinates(draw,xl,yl,xr,yr);CHKERRQ(ierr);
954   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer);CHKERRQ(ierr);
955   ierr = PetscDrawZoom(draw,MatView_SeqAIJ_Draw_Zoom,A);CHKERRQ(ierr);
956   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",NULL);CHKERRQ(ierr);
957   ierr = PetscDrawSave(draw);CHKERRQ(ierr);
958   PetscFunctionReturn(0);
959 }
960 
961 PetscErrorCode MatView_SeqAIJ(Mat A,PetscViewer viewer)
962 {
963   PetscErrorCode ierr;
964   PetscBool      iascii,isbinary,isdraw;
965 
966   PetscFunctionBegin;
967   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
968   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
969   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
970   if (iascii) {
971     ierr = MatView_SeqAIJ_ASCII(A,viewer);CHKERRQ(ierr);
972   } else if (isbinary) {
973     ierr = MatView_SeqAIJ_Binary(A,viewer);CHKERRQ(ierr);
974   } else if (isdraw) {
975     ierr = MatView_SeqAIJ_Draw(A,viewer);CHKERRQ(ierr);
976   }
977   ierr = MatView_SeqAIJ_Inode(A,viewer);CHKERRQ(ierr);
978   PetscFunctionReturn(0);
979 }
980 
981 PetscErrorCode MatAssemblyEnd_SeqAIJ(Mat A,MatAssemblyType mode)
982 {
983   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
984   PetscErrorCode ierr;
985   PetscInt       fshift = 0,i,j,*ai = a->i,*aj = a->j,*imax = a->imax;
986   PetscInt       m      = A->rmap->n,*ip,N,*ailen = a->ilen,rmax = 0;
987   MatScalar      *aa    = a->a,*ap;
988   PetscReal      ratio  = 0.6;
989 
990   PetscFunctionBegin;
991   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
992 
993   if (m) rmax = ailen[0]; /* determine row with most nonzeros */
994   for (i=1; i<m; i++) {
995     /* move each row back by the amount of empty slots (fshift) before it*/
996     fshift += imax[i-1] - ailen[i-1];
997     rmax    = PetscMax(rmax,ailen[i]);
998     if (fshift) {
999       ip = aj + ai[i];
1000       ap = aa + ai[i];
1001       N  = ailen[i];
1002       for (j=0; j<N; j++) {
1003         ip[j-fshift] = ip[j];
1004         if (!A->structure_only) ap[j-fshift] = ap[j];
1005       }
1006     }
1007     ai[i] = ai[i-1] + ailen[i-1];
1008   }
1009   if (m) {
1010     fshift += imax[m-1] - ailen[m-1];
1011     ai[m]   = ai[m-1] + ailen[m-1];
1012   }
1013 
1014   /* reset ilen and imax for each row */
1015   a->nonzerorowcnt = 0;
1016   if (A->structure_only) {
1017     ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);
1018   } else { /* !A->structure_only */
1019     for (i=0; i<m; i++) {
1020       ailen[i] = imax[i] = ai[i+1] - ai[i];
1021       a->nonzerorowcnt += ((ai[i+1] - ai[i]) > 0);
1022     }
1023   }
1024   a->nz = ai[m];
1025   if (fshift && a->nounused == -1) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_PLIB, "Unused space detected in matrix: %D X %D, %D unneeded", m, A->cmap->n, fshift);
1026 
1027   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1028   ierr = PetscInfo4(A,"Matrix size: %D X %D; storage space: %D unneeded,%D used\n",m,A->cmap->n,fshift,a->nz);CHKERRQ(ierr);
1029   ierr = PetscInfo1(A,"Number of mallocs during MatSetValues() is %D\n",a->reallocs);CHKERRQ(ierr);
1030   ierr = PetscInfo1(A,"Maximum nonzeros in any row is %D\n",rmax);CHKERRQ(ierr);
1031 
1032   A->info.mallocs    += a->reallocs;
1033   a->reallocs         = 0;
1034   A->info.nz_unneeded = (PetscReal)fshift;
1035   a->rmax             = rmax;
1036 
1037   if (!A->structure_only) {
1038     ierr = MatCheckCompressedRow(A,a->nonzerorowcnt,&a->compressedrow,a->i,m,ratio);CHKERRQ(ierr);
1039   }
1040   ierr = MatAssemblyEnd_SeqAIJ_Inode(A,mode);CHKERRQ(ierr);
1041   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1042   PetscFunctionReturn(0);
1043 }
1044 
1045 PetscErrorCode MatRealPart_SeqAIJ(Mat A)
1046 {
1047   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1048   PetscInt       i,nz = a->nz;
1049   MatScalar      *aa = a->a;
1050   PetscErrorCode ierr;
1051 
1052   PetscFunctionBegin;
1053   for (i=0; i<nz; i++) aa[i] = PetscRealPart(aa[i]);
1054   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1055   PetscFunctionReturn(0);
1056 }
1057 
1058 PetscErrorCode MatImaginaryPart_SeqAIJ(Mat A)
1059 {
1060   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1061   PetscInt       i,nz = a->nz;
1062   MatScalar      *aa = a->a;
1063   PetscErrorCode ierr;
1064 
1065   PetscFunctionBegin;
1066   for (i=0; i<nz; i++) aa[i] = PetscImaginaryPart(aa[i]);
1067   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1068   PetscFunctionReturn(0);
1069 }
1070 
1071 PetscErrorCode MatZeroEntries_SeqAIJ(Mat A)
1072 {
1073   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1074   PetscErrorCode ierr;
1075 
1076   PetscFunctionBegin;
1077   ierr = PetscMemzero(a->a,(a->i[A->rmap->n])*sizeof(PetscScalar));CHKERRQ(ierr);
1078   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1079   PetscFunctionReturn(0);
1080 }
1081 
1082 PetscErrorCode MatDestroy_SeqAIJ(Mat A)
1083 {
1084   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1085   PetscErrorCode ierr;
1086 
1087   PetscFunctionBegin;
1088 #if defined(PETSC_USE_LOG)
1089   PetscLogObjectState((PetscObject)A,"Rows=%D, Cols=%D, NZ=%D",A->rmap->n,A->cmap->n,a->nz);
1090 #endif
1091   ierr = MatSeqXAIJFreeAIJ(A,&a->a,&a->j,&a->i);CHKERRQ(ierr);
1092   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
1093   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
1094   ierr = PetscFree(a->diag);CHKERRQ(ierr);
1095   ierr = PetscFree(a->ibdiag);CHKERRQ(ierr);
1096   ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);
1097   ierr = PetscFree3(a->idiag,a->mdiag,a->ssor_work);CHKERRQ(ierr);
1098   ierr = PetscFree(a->solve_work);CHKERRQ(ierr);
1099   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
1100   ierr = PetscFree(a->saved_values);CHKERRQ(ierr);
1101   ierr = ISColoringDestroy(&a->coloring);CHKERRQ(ierr);
1102   ierr = PetscFree2(a->compressedrow.i,a->compressedrow.rindex);CHKERRQ(ierr);
1103   ierr = PetscFree(a->matmult_abdense);CHKERRQ(ierr);
1104 
1105   ierr = MatDestroy_SeqAIJ_Inode(A);CHKERRQ(ierr);
1106   ierr = PetscFree(A->data);CHKERRQ(ierr);
1107 
1108   ierr = PetscObjectChangeTypeName((PetscObject)A,0);CHKERRQ(ierr);
1109   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetColumnIndices_C",NULL);CHKERRQ(ierr);
1110   ierr = PetscObjectComposeFunction((PetscObject)A,"MatStoreValues_C",NULL);CHKERRQ(ierr);
1111   ierr = PetscObjectComposeFunction((PetscObject)A,"MatRetrieveValues_C",NULL);CHKERRQ(ierr);
1112   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqsbaij_C",NULL);CHKERRQ(ierr);
1113   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqbaij_C",NULL);CHKERRQ(ierr);
1114   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqaijperm_C",NULL);CHKERRQ(ierr);
1115 #if defined(PETSC_HAVE_ELEMENTAL)
1116   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_elemental_C",NULL);CHKERRQ(ierr);
1117 #endif
1118 #if defined(PETSC_HAVE_HYPRE)
1119   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_hypre_C",NULL);CHKERRQ(ierr);
1120   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMatMatMult_transpose_seqaij_seqaij_C",NULL);CHKERRQ(ierr);
1121 #endif
1122   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqdense_C",NULL);CHKERRQ(ierr);
1123   ierr = PetscObjectComposeFunction((PetscObject)A,"MatIsTranspose_C",NULL);CHKERRQ(ierr);
1124   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetPreallocation_C",NULL);CHKERRQ(ierr);
1125   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetPreallocationCSR_C",NULL);CHKERRQ(ierr);
1126   ierr = PetscObjectComposeFunction((PetscObject)A,"MatReorderForNonzeroDiagonal_C",NULL);CHKERRQ(ierr);
1127   PetscFunctionReturn(0);
1128 }
1129 
1130 PetscErrorCode MatSetOption_SeqAIJ(Mat A,MatOption op,PetscBool flg)
1131 {
1132   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1133   PetscErrorCode ierr;
1134 
1135   PetscFunctionBegin;
1136   switch (op) {
1137   case MAT_ROW_ORIENTED:
1138     a->roworiented = flg;
1139     break;
1140   case MAT_KEEP_NONZERO_PATTERN:
1141     a->keepnonzeropattern = flg;
1142     break;
1143   case MAT_NEW_NONZERO_LOCATIONS:
1144     a->nonew = (flg ? 0 : 1);
1145     break;
1146   case MAT_NEW_NONZERO_LOCATION_ERR:
1147     a->nonew = (flg ? -1 : 0);
1148     break;
1149   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1150     a->nonew = (flg ? -2 : 0);
1151     break;
1152   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1153     a->nounused = (flg ? -1 : 0);
1154     break;
1155   case MAT_IGNORE_ZERO_ENTRIES:
1156     a->ignorezeroentries = flg;
1157     break;
1158   case MAT_SPD:
1159   case MAT_SYMMETRIC:
1160   case MAT_STRUCTURALLY_SYMMETRIC:
1161   case MAT_HERMITIAN:
1162   case MAT_SYMMETRY_ETERNAL:
1163   case MAT_STRUCTURE_ONLY:
1164     /* These options are handled directly by MatSetOption() */
1165     break;
1166   case MAT_NEW_DIAGONALS:
1167   case MAT_IGNORE_OFF_PROC_ENTRIES:
1168   case MAT_USE_HASH_TABLE:
1169     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1170     break;
1171   case MAT_USE_INODES:
1172     /* Not an error because MatSetOption_SeqAIJ_Inode handles this one */
1173     break;
1174   case MAT_SUBMAT_SINGLEIS:
1175     A->submat_singleis = flg;
1176     break;
1177   default:
1178     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
1179   }
1180   ierr = MatSetOption_SeqAIJ_Inode(A,op,flg);CHKERRQ(ierr);
1181   PetscFunctionReturn(0);
1182 }
1183 
1184 PetscErrorCode MatGetDiagonal_SeqAIJ(Mat A,Vec v)
1185 {
1186   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1187   PetscErrorCode ierr;
1188   PetscInt       i,j,n,*ai=a->i,*aj=a->j,nz;
1189   PetscScalar    *aa=a->a,*x,zero=0.0;
1190 
1191   PetscFunctionBegin;
1192   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
1193   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
1194 
1195   if (A->factortype == MAT_FACTOR_ILU || A->factortype == MAT_FACTOR_LU) {
1196     PetscInt *diag=a->diag;
1197     ierr = VecGetArray(v,&x);CHKERRQ(ierr);
1198     for (i=0; i<n; i++) x[i] = 1.0/aa[diag[i]];
1199     ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
1200     PetscFunctionReturn(0);
1201   }
1202 
1203   ierr = VecSet(v,zero);CHKERRQ(ierr);
1204   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
1205   for (i=0; i<n; i++) {
1206     nz = ai[i+1] - ai[i];
1207     if (!nz) x[i] = 0.0;
1208     for (j=ai[i]; j<ai[i+1]; j++) {
1209       if (aj[j] == i) {
1210         x[i] = aa[j];
1211         break;
1212       }
1213     }
1214   }
1215   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
1216   PetscFunctionReturn(0);
1217 }
1218 
1219 #include <../src/mat/impls/aij/seq/ftn-kernels/fmult.h>
1220 PetscErrorCode MatMultTransposeAdd_SeqAIJ(Mat A,Vec xx,Vec zz,Vec yy)
1221 {
1222   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1223   PetscScalar       *y;
1224   const PetscScalar *x;
1225   PetscErrorCode    ierr;
1226   PetscInt          m = A->rmap->n;
1227 #if !defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
1228   const MatScalar   *v;
1229   PetscScalar       alpha;
1230   PetscInt          n,i,j;
1231   const PetscInt    *idx,*ii,*ridx=NULL;
1232   Mat_CompressedRow cprow    = a->compressedrow;
1233   PetscBool         usecprow = cprow.use;
1234 #endif
1235 
1236   PetscFunctionBegin;
1237   if (zz != yy) {ierr = VecCopy(zz,yy);CHKERRQ(ierr);}
1238   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1239   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1240 
1241 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
1242   fortranmulttransposeaddaij_(&m,x,a->i,a->j,a->a,y);
1243 #else
1244   if (usecprow) {
1245     m    = cprow.nrows;
1246     ii   = cprow.i;
1247     ridx = cprow.rindex;
1248   } else {
1249     ii = a->i;
1250   }
1251   for (i=0; i<m; i++) {
1252     idx = a->j + ii[i];
1253     v   = a->a + ii[i];
1254     n   = ii[i+1] - ii[i];
1255     if (usecprow) {
1256       alpha = x[ridx[i]];
1257     } else {
1258       alpha = x[i];
1259     }
1260     for (j=0; j<n; j++) y[idx[j]] += alpha*v[j];
1261   }
1262 #endif
1263   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1264   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1265   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1266   PetscFunctionReturn(0);
1267 }
1268 
1269 PetscErrorCode MatMultTranspose_SeqAIJ(Mat A,Vec xx,Vec yy)
1270 {
1271   PetscErrorCode ierr;
1272 
1273   PetscFunctionBegin;
1274   ierr = VecSet(yy,0.0);CHKERRQ(ierr);
1275   ierr = MatMultTransposeAdd_SeqAIJ(A,xx,yy,yy);CHKERRQ(ierr);
1276   PetscFunctionReturn(0);
1277 }
1278 
1279 #include <../src/mat/impls/aij/seq/ftn-kernels/fmult.h>
1280 
1281 PetscErrorCode MatMult_SeqAIJ(Mat A,Vec xx,Vec yy)
1282 {
1283   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1284   PetscScalar       *y;
1285   const PetscScalar *x;
1286   const MatScalar   *aa;
1287   PetscErrorCode    ierr;
1288   PetscInt          m=A->rmap->n;
1289   const PetscInt    *aj,*ii,*ridx=NULL;
1290   PetscInt          n,i;
1291   PetscScalar       sum;
1292   PetscBool         usecprow=a->compressedrow.use;
1293 
1294 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
1295 #pragma disjoint(*x,*y,*aa)
1296 #endif
1297 
1298   PetscFunctionBegin;
1299   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1300   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1301   ii   = a->i;
1302   if (usecprow) { /* use compressed row format */
1303     ierr = PetscMemzero(y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1304     m    = a->compressedrow.nrows;
1305     ii   = a->compressedrow.i;
1306     ridx = a->compressedrow.rindex;
1307     for (i=0; i<m; i++) {
1308       n           = ii[i+1] - ii[i];
1309       aj          = a->j + ii[i];
1310       aa          = a->a + ii[i];
1311       sum         = 0.0;
1312       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1313       /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */
1314       y[*ridx++] = sum;
1315     }
1316   } else { /* do not use compressed row format */
1317 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTAIJ)
1318     aj   = a->j;
1319     aa   = a->a;
1320     fortranmultaij_(&m,x,ii,aj,aa,y);
1321 #else
1322     for (i=0; i<m; i++) {
1323       n           = ii[i+1] - ii[i];
1324       aj          = a->j + ii[i];
1325       aa          = a->a + ii[i];
1326       sum         = 0.0;
1327       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1328       y[i] = sum;
1329     }
1330 #endif
1331   }
1332   ierr = PetscLogFlops(2.0*a->nz - a->nonzerorowcnt);CHKERRQ(ierr);
1333   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1334   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1335   PetscFunctionReturn(0);
1336 }
1337 
1338 PetscErrorCode MatMultMax_SeqAIJ(Mat A,Vec xx,Vec yy)
1339 {
1340   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1341   PetscScalar       *y;
1342   const PetscScalar *x;
1343   const MatScalar   *aa;
1344   PetscErrorCode    ierr;
1345   PetscInt          m=A->rmap->n;
1346   const PetscInt    *aj,*ii,*ridx=NULL;
1347   PetscInt          n,i,nonzerorow=0;
1348   PetscScalar       sum;
1349   PetscBool         usecprow=a->compressedrow.use;
1350 
1351 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
1352 #pragma disjoint(*x,*y,*aa)
1353 #endif
1354 
1355   PetscFunctionBegin;
1356   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1357   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1358   if (usecprow) { /* use compressed row format */
1359     m    = a->compressedrow.nrows;
1360     ii   = a->compressedrow.i;
1361     ridx = a->compressedrow.rindex;
1362     for (i=0; i<m; i++) {
1363       n           = ii[i+1] - ii[i];
1364       aj          = a->j + ii[i];
1365       aa          = a->a + ii[i];
1366       sum         = 0.0;
1367       nonzerorow += (n>0);
1368       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1369       /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */
1370       y[*ridx++] = sum;
1371     }
1372   } else { /* do not use compressed row format */
1373     ii = a->i;
1374     for (i=0; i<m; i++) {
1375       n           = ii[i+1] - ii[i];
1376       aj          = a->j + ii[i];
1377       aa          = a->a + ii[i];
1378       sum         = 0.0;
1379       nonzerorow += (n>0);
1380       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1381       y[i] = sum;
1382     }
1383   }
1384   ierr = PetscLogFlops(2.0*a->nz - nonzerorow);CHKERRQ(ierr);
1385   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1386   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1387   PetscFunctionReturn(0);
1388 }
1389 
1390 PetscErrorCode MatMultAddMax_SeqAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1391 {
1392   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1393   PetscScalar       *y,*z;
1394   const PetscScalar *x;
1395   const MatScalar   *aa;
1396   PetscErrorCode    ierr;
1397   PetscInt          m = A->rmap->n,*aj,*ii;
1398   PetscInt          n,i,*ridx=NULL;
1399   PetscScalar       sum;
1400   PetscBool         usecprow=a->compressedrow.use;
1401 
1402   PetscFunctionBegin;
1403   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1404   ierr = VecGetArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1405   if (usecprow) { /* use compressed row format */
1406     if (zz != yy) {
1407       ierr = PetscMemcpy(z,y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1408     }
1409     m    = a->compressedrow.nrows;
1410     ii   = a->compressedrow.i;
1411     ridx = a->compressedrow.rindex;
1412     for (i=0; i<m; i++) {
1413       n   = ii[i+1] - ii[i];
1414       aj  = a->j + ii[i];
1415       aa  = a->a + ii[i];
1416       sum = y[*ridx];
1417       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1418       z[*ridx++] = sum;
1419     }
1420   } else { /* do not use compressed row format */
1421     ii = a->i;
1422     for (i=0; i<m; i++) {
1423       n   = ii[i+1] - ii[i];
1424       aj  = a->j + ii[i];
1425       aa  = a->a + ii[i];
1426       sum = y[i];
1427       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1428       z[i] = sum;
1429     }
1430   }
1431   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1432   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1433   ierr = VecRestoreArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1434   PetscFunctionReturn(0);
1435 }
1436 
1437 #include <../src/mat/impls/aij/seq/ftn-kernels/fmultadd.h>
1438 PetscErrorCode MatMultAdd_SeqAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1439 {
1440   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1441   PetscScalar       *y,*z;
1442   const PetscScalar *x;
1443   const MatScalar   *aa;
1444   PetscErrorCode    ierr;
1445   const PetscInt    *aj,*ii,*ridx=NULL;
1446   PetscInt          m = A->rmap->n,n,i;
1447   PetscScalar       sum;
1448   PetscBool         usecprow=a->compressedrow.use;
1449 
1450   PetscFunctionBegin;
1451   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1452   ierr = VecGetArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1453   if (usecprow) { /* use compressed row format */
1454     if (zz != yy) {
1455       ierr = PetscMemcpy(z,y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1456     }
1457     m    = a->compressedrow.nrows;
1458     ii   = a->compressedrow.i;
1459     ridx = a->compressedrow.rindex;
1460     for (i=0; i<m; i++) {
1461       n   = ii[i+1] - ii[i];
1462       aj  = a->j + ii[i];
1463       aa  = a->a + ii[i];
1464       sum = y[*ridx];
1465       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1466       z[*ridx++] = sum;
1467     }
1468   } else { /* do not use compressed row format */
1469     ii = a->i;
1470 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTADDAIJ)
1471     aj = a->j;
1472     aa = a->a;
1473     fortranmultaddaij_(&m,x,ii,aj,aa,y,z);
1474 #else
1475     for (i=0; i<m; i++) {
1476       n   = ii[i+1] - ii[i];
1477       aj  = a->j + ii[i];
1478       aa  = a->a + ii[i];
1479       sum = y[i];
1480       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1481       z[i] = sum;
1482     }
1483 #endif
1484   }
1485   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1486   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1487   ierr = VecRestoreArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1488 #if defined(PETSC_HAVE_CUSP)
1489   /*
1490   ierr = VecView(xx,0);CHKERRQ(ierr);
1491   ierr = VecView(zz,0);CHKERRQ(ierr);
1492   ierr = MatView(A,0);CHKERRQ(ierr);
1493   */
1494 #endif
1495   PetscFunctionReturn(0);
1496 }
1497 
1498 /*
1499      Adds diagonal pointers to sparse matrix structure.
1500 */
1501 PetscErrorCode MatMarkDiagonal_SeqAIJ(Mat A)
1502 {
1503   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1504   PetscErrorCode ierr;
1505   PetscInt       i,j,m = A->rmap->n;
1506 
1507   PetscFunctionBegin;
1508   if (!a->diag) {
1509     ierr = PetscMalloc1(m,&a->diag);CHKERRQ(ierr);
1510     ierr = PetscLogObjectMemory((PetscObject)A, m*sizeof(PetscInt));CHKERRQ(ierr);
1511   }
1512   for (i=0; i<A->rmap->n; i++) {
1513     a->diag[i] = a->i[i+1];
1514     for (j=a->i[i]; j<a->i[i+1]; j++) {
1515       if (a->j[j] == i) {
1516         a->diag[i] = j;
1517         break;
1518       }
1519     }
1520   }
1521   PetscFunctionReturn(0);
1522 }
1523 
1524 /*
1525      Checks for missing diagonals
1526 */
1527 PetscErrorCode MatMissingDiagonal_SeqAIJ(Mat A,PetscBool  *missing,PetscInt *d)
1528 {
1529   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1530   PetscInt   *diag,*ii = a->i,i;
1531 
1532   PetscFunctionBegin;
1533   *missing = PETSC_FALSE;
1534   if (A->rmap->n > 0 && !ii) {
1535     *missing = PETSC_TRUE;
1536     if (d) *d = 0;
1537     PetscInfo(A,"Matrix has no entries therefore is missing diagonal\n");
1538   } else {
1539     diag = a->diag;
1540     for (i=0; i<A->rmap->n; i++) {
1541       if (diag[i] >= ii[i+1]) {
1542         *missing = PETSC_TRUE;
1543         if (d) *d = i;
1544         PetscInfo1(A,"Matrix is missing diagonal number %D\n",i);
1545         break;
1546       }
1547     }
1548   }
1549   PetscFunctionReturn(0);
1550 }
1551 
1552 /*
1553    Negative shift indicates do not generate an error if there is a zero diagonal, just invert it anyways
1554 */
1555 PetscErrorCode  MatInvertDiagonal_SeqAIJ(Mat A,PetscScalar omega,PetscScalar fshift)
1556 {
1557   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
1558   PetscErrorCode ierr;
1559   PetscInt       i,*diag,m = A->rmap->n;
1560   MatScalar      *v = a->a;
1561   PetscScalar    *idiag,*mdiag;
1562 
1563   PetscFunctionBegin;
1564   if (a->idiagvalid) PetscFunctionReturn(0);
1565   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1566   diag = a->diag;
1567   if (!a->idiag) {
1568     ierr = PetscMalloc3(m,&a->idiag,m,&a->mdiag,m,&a->ssor_work);CHKERRQ(ierr);
1569     ierr = PetscLogObjectMemory((PetscObject)A, 3*m*sizeof(PetscScalar));CHKERRQ(ierr);
1570     v    = a->a;
1571   }
1572   mdiag = a->mdiag;
1573   idiag = a->idiag;
1574 
1575   if (omega == 1.0 && PetscRealPart(fshift) <= 0.0) {
1576     for (i=0; i<m; i++) {
1577       mdiag[i] = v[diag[i]];
1578       if (!PetscAbsScalar(mdiag[i])) { /* zero diagonal */
1579         if (PetscRealPart(fshift)) {
1580           ierr = PetscInfo1(A,"Zero diagonal on row %D\n",i);CHKERRQ(ierr);
1581           A->factorerrortype             = MAT_FACTOR_NUMERIC_ZEROPIVOT;
1582           A->factorerror_zeropivot_value = 0.0;
1583           A->factorerror_zeropivot_row   = i;
1584         } SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Zero diagonal on row %D",i);
1585       }
1586       idiag[i] = 1.0/v[diag[i]];
1587     }
1588     ierr = PetscLogFlops(m);CHKERRQ(ierr);
1589   } else {
1590     for (i=0; i<m; i++) {
1591       mdiag[i] = v[diag[i]];
1592       idiag[i] = omega/(fshift + v[diag[i]]);
1593     }
1594     ierr = PetscLogFlops(2.0*m);CHKERRQ(ierr);
1595   }
1596   a->idiagvalid = PETSC_TRUE;
1597   PetscFunctionReturn(0);
1598 }
1599 
1600 #include <../src/mat/impls/aij/seq/ftn-kernels/frelax.h>
1601 PetscErrorCode MatSOR_SeqAIJ(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
1602 {
1603   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1604   PetscScalar       *x,d,sum,*t,scale;
1605   const MatScalar   *v,*idiag=0,*mdiag;
1606   const PetscScalar *b, *bs,*xb, *ts;
1607   PetscErrorCode    ierr;
1608   PetscInt          n,m = A->rmap->n,i;
1609   const PetscInt    *idx,*diag;
1610 
1611   PetscFunctionBegin;
1612   its = its*lits;
1613 
1614   if (fshift != a->fshift || omega != a->omega) a->idiagvalid = PETSC_FALSE; /* must recompute idiag[] */
1615   if (!a->idiagvalid) {ierr = MatInvertDiagonal_SeqAIJ(A,omega,fshift);CHKERRQ(ierr);}
1616   a->fshift = fshift;
1617   a->omega  = omega;
1618 
1619   diag  = a->diag;
1620   t     = a->ssor_work;
1621   idiag = a->idiag;
1622   mdiag = a->mdiag;
1623 
1624   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1625   ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
1626   /* We count flops by assuming the upper triangular and lower triangular parts have the same number of nonzeros */
1627   if (flag == SOR_APPLY_UPPER) {
1628     /* apply (U + D/omega) to the vector */
1629     bs = b;
1630     for (i=0; i<m; i++) {
1631       d   = fshift + mdiag[i];
1632       n   = a->i[i+1] - diag[i] - 1;
1633       idx = a->j + diag[i] + 1;
1634       v   = a->a + diag[i] + 1;
1635       sum = b[i]*d/omega;
1636       PetscSparseDensePlusDot(sum,bs,v,idx,n);
1637       x[i] = sum;
1638     }
1639     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1640     ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1641     ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1642     PetscFunctionReturn(0);
1643   }
1644 
1645   if (flag == SOR_APPLY_LOWER) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SOR_APPLY_LOWER is not implemented");
1646   else if (flag & SOR_EISENSTAT) {
1647     /* Let  A = L + U + D; where L is lower trianglar,
1648     U is upper triangular, E = D/omega; This routine applies
1649 
1650             (L + E)^{-1} A (U + E)^{-1}
1651 
1652     to a vector efficiently using Eisenstat's trick.
1653     */
1654     scale = (2.0/omega) - 1.0;
1655 
1656     /*  x = (E + U)^{-1} b */
1657     for (i=m-1; i>=0; i--) {
1658       n   = a->i[i+1] - diag[i] - 1;
1659       idx = a->j + diag[i] + 1;
1660       v   = a->a + diag[i] + 1;
1661       sum = b[i];
1662       PetscSparseDenseMinusDot(sum,x,v,idx,n);
1663       x[i] = sum*idiag[i];
1664     }
1665 
1666     /*  t = b - (2*E - D)x */
1667     v = a->a;
1668     for (i=0; i<m; i++) t[i] = b[i] - scale*(v[*diag++])*x[i];
1669 
1670     /*  t = (E + L)^{-1}t */
1671     ts   = t;
1672     diag = a->diag;
1673     for (i=0; i<m; i++) {
1674       n   = diag[i] - a->i[i];
1675       idx = a->j + a->i[i];
1676       v   = a->a + a->i[i];
1677       sum = t[i];
1678       PetscSparseDenseMinusDot(sum,ts,v,idx,n);
1679       t[i] = sum*idiag[i];
1680       /*  x = x + t */
1681       x[i] += t[i];
1682     }
1683 
1684     ierr = PetscLogFlops(6.0*m-1 + 2.0*a->nz);CHKERRQ(ierr);
1685     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1686     ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1687     PetscFunctionReturn(0);
1688   }
1689   if (flag & SOR_ZERO_INITIAL_GUESS) {
1690     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
1691       for (i=0; i<m; i++) {
1692         n   = diag[i] - a->i[i];
1693         idx = a->j + a->i[i];
1694         v   = a->a + a->i[i];
1695         sum = b[i];
1696         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1697         t[i] = sum;
1698         x[i] = sum*idiag[i];
1699       }
1700       xb   = t;
1701       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1702     } else xb = b;
1703     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
1704       for (i=m-1; i>=0; i--) {
1705         n   = a->i[i+1] - diag[i] - 1;
1706         idx = a->j + diag[i] + 1;
1707         v   = a->a + diag[i] + 1;
1708         sum = xb[i];
1709         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1710         if (xb == b) {
1711           x[i] = sum*idiag[i];
1712         } else {
1713           x[i] = (1-omega)*x[i] + sum*idiag[i];  /* omega in idiag */
1714         }
1715       }
1716       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr); /* assumes 1/2 in upper */
1717     }
1718     its--;
1719   }
1720   while (its--) {
1721     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
1722       for (i=0; i<m; i++) {
1723         /* lower */
1724         n   = diag[i] - a->i[i];
1725         idx = a->j + a->i[i];
1726         v   = a->a + a->i[i];
1727         sum = b[i];
1728         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1729         t[i] = sum;             /* save application of the lower-triangular part */
1730         /* upper */
1731         n   = a->i[i+1] - diag[i] - 1;
1732         idx = a->j + diag[i] + 1;
1733         v   = a->a + diag[i] + 1;
1734         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1735         x[i] = (1. - omega)*x[i] + sum*idiag[i]; /* omega in idiag */
1736       }
1737       xb   = t;
1738       ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1739     } else xb = b;
1740     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
1741       for (i=m-1; i>=0; i--) {
1742         sum = xb[i];
1743         if (xb == b) {
1744           /* whole matrix (no checkpointing available) */
1745           n   = a->i[i+1] - a->i[i];
1746           idx = a->j + a->i[i];
1747           v   = a->a + a->i[i];
1748           PetscSparseDenseMinusDot(sum,x,v,idx,n);
1749           x[i] = (1. - omega)*x[i] + (sum + mdiag[i]*x[i])*idiag[i];
1750         } else { /* lower-triangular part has been saved, so only apply upper-triangular */
1751           n   = a->i[i+1] - diag[i] - 1;
1752           idx = a->j + diag[i] + 1;
1753           v   = a->a + diag[i] + 1;
1754           PetscSparseDenseMinusDot(sum,x,v,idx,n);
1755           x[i] = (1. - omega)*x[i] + sum*idiag[i];  /* omega in idiag */
1756         }
1757       }
1758       if (xb == b) {
1759         ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1760       } else {
1761         ierr = PetscLogFlops(a->nz);CHKERRQ(ierr); /* assumes 1/2 in upper */
1762       }
1763     }
1764   }
1765   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1766   ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1767   PetscFunctionReturn(0);
1768 }
1769 
1770 
1771 PetscErrorCode MatGetInfo_SeqAIJ(Mat A,MatInfoType flag,MatInfo *info)
1772 {
1773   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1774 
1775   PetscFunctionBegin;
1776   info->block_size   = 1.0;
1777   info->nz_allocated = (double)a->maxnz;
1778   info->nz_used      = (double)a->nz;
1779   info->nz_unneeded  = (double)(a->maxnz - a->nz);
1780   info->assemblies   = (double)A->num_ass;
1781   info->mallocs      = (double)A->info.mallocs;
1782   info->memory       = ((PetscObject)A)->mem;
1783   if (A->factortype) {
1784     info->fill_ratio_given  = A->info.fill_ratio_given;
1785     info->fill_ratio_needed = A->info.fill_ratio_needed;
1786     info->factor_mallocs    = A->info.factor_mallocs;
1787   } else {
1788     info->fill_ratio_given  = 0;
1789     info->fill_ratio_needed = 0;
1790     info->factor_mallocs    = 0;
1791   }
1792   PetscFunctionReturn(0);
1793 }
1794 
1795 PetscErrorCode MatZeroRows_SeqAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1796 {
1797   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1798   PetscInt          i,m = A->rmap->n - 1;
1799   PetscErrorCode    ierr;
1800   const PetscScalar *xx;
1801   PetscScalar       *bb;
1802   PetscInt          d = 0;
1803 
1804   PetscFunctionBegin;
1805   if (x && b) {
1806     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1807     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1808     for (i=0; i<N; i++) {
1809       if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1810       bb[rows[i]] = diag*xx[rows[i]];
1811     }
1812     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1813     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1814   }
1815 
1816   if (a->keepnonzeropattern) {
1817     for (i=0; i<N; i++) {
1818       if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1819       ierr = PetscMemzero(&a->a[a->i[rows[i]]],a->ilen[rows[i]]*sizeof(PetscScalar));CHKERRQ(ierr);
1820     }
1821     if (diag != 0.0) {
1822       for (i=0; i<N; i++) {
1823         d = rows[i];
1824         if (a->diag[d] >= a->i[d+1]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Matrix is missing diagonal entry in the zeroed row %D",d);
1825       }
1826       for (i=0; i<N; i++) {
1827         a->a[a->diag[rows[i]]] = diag;
1828       }
1829     }
1830   } else {
1831     if (diag != 0.0) {
1832       for (i=0; i<N; i++) {
1833         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1834         if (a->ilen[rows[i]] > 0) {
1835           a->ilen[rows[i]]    = 1;
1836           a->a[a->i[rows[i]]] = diag;
1837           a->j[a->i[rows[i]]] = rows[i];
1838         } else { /* in case row was completely empty */
1839           ierr = MatSetValues_SeqAIJ(A,1,&rows[i],1,&rows[i],&diag,INSERT_VALUES);CHKERRQ(ierr);
1840         }
1841       }
1842     } else {
1843       for (i=0; i<N; i++) {
1844         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1845         a->ilen[rows[i]] = 0;
1846       }
1847     }
1848     A->nonzerostate++;
1849   }
1850   ierr = (*A->ops->assemblyend)(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1851   PetscFunctionReturn(0);
1852 }
1853 
1854 PetscErrorCode MatZeroRowsColumns_SeqAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1855 {
1856   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1857   PetscInt          i,j,m = A->rmap->n - 1,d = 0;
1858   PetscErrorCode    ierr;
1859   PetscBool         missing,*zeroed,vecs = PETSC_FALSE;
1860   const PetscScalar *xx;
1861   PetscScalar       *bb;
1862 
1863   PetscFunctionBegin;
1864   if (x && b) {
1865     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1866     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1867     vecs = PETSC_TRUE;
1868   }
1869   ierr = PetscCalloc1(A->rmap->n,&zeroed);CHKERRQ(ierr);
1870   for (i=0; i<N; i++) {
1871     if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1872     ierr = PetscMemzero(&a->a[a->i[rows[i]]],a->ilen[rows[i]]*sizeof(PetscScalar));CHKERRQ(ierr);
1873 
1874     zeroed[rows[i]] = PETSC_TRUE;
1875   }
1876   for (i=0; i<A->rmap->n; i++) {
1877     if (!zeroed[i]) {
1878       for (j=a->i[i]; j<a->i[i+1]; j++) {
1879         if (zeroed[a->j[j]]) {
1880           if (vecs) bb[i] -= a->a[j]*xx[a->j[j]];
1881           a->a[j] = 0.0;
1882         }
1883       }
1884     } else if (vecs) bb[i] = diag*xx[i];
1885   }
1886   if (x && b) {
1887     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1888     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1889   }
1890   ierr = PetscFree(zeroed);CHKERRQ(ierr);
1891   if (diag != 0.0) {
1892     ierr = MatMissingDiagonal_SeqAIJ(A,&missing,&d);CHKERRQ(ierr);
1893     if (missing) {
1894       if (a->nonew) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Matrix is missing diagonal entry in row %D",d);
1895       else {
1896         for (i=0; i<N; i++) {
1897           ierr = MatSetValues_SeqAIJ(A,1,&rows[i],1,&rows[i],&diag,INSERT_VALUES);CHKERRQ(ierr);
1898         }
1899       }
1900     } else {
1901       for (i=0; i<N; i++) {
1902         a->a[a->diag[rows[i]]] = diag;
1903       }
1904     }
1905   }
1906   ierr = (*A->ops->assemblyend)(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1907   PetscFunctionReturn(0);
1908 }
1909 
1910 PetscErrorCode MatGetRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1911 {
1912   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1913   PetscInt   *itmp;
1914 
1915   PetscFunctionBegin;
1916   if (row < 0 || row >= A->rmap->n) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row %D out of range",row);
1917 
1918   *nz = a->i[row+1] - a->i[row];
1919   if (v) *v = a->a + a->i[row];
1920   if (idx) {
1921     itmp = a->j + a->i[row];
1922     if (*nz) *idx = itmp;
1923     else *idx = 0;
1924   }
1925   PetscFunctionReturn(0);
1926 }
1927 
1928 /* remove this function? */
1929 PetscErrorCode MatRestoreRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1930 {
1931   PetscFunctionBegin;
1932   PetscFunctionReturn(0);
1933 }
1934 
1935 PetscErrorCode MatNorm_SeqAIJ(Mat A,NormType type,PetscReal *nrm)
1936 {
1937   Mat_SeqAIJ     *a  = (Mat_SeqAIJ*)A->data;
1938   MatScalar      *v  = a->a;
1939   PetscReal      sum = 0.0;
1940   PetscErrorCode ierr;
1941   PetscInt       i,j;
1942 
1943   PetscFunctionBegin;
1944   if (type == NORM_FROBENIUS) {
1945 #if defined(PETSC_USE_REAL___FP16)
1946     PetscBLASInt one = 1,nz = a->nz;
1947     *nrm = BLASnrm2_(&nz,v,&one);
1948 #else
1949     for (i=0; i<a->nz; i++) {
1950       sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
1951     }
1952     *nrm = PetscSqrtReal(sum);
1953 #endif
1954     ierr = PetscLogFlops(2*a->nz);CHKERRQ(ierr);
1955   } else if (type == NORM_1) {
1956     PetscReal *tmp;
1957     PetscInt  *jj = a->j;
1958     ierr = PetscCalloc1(A->cmap->n+1,&tmp);CHKERRQ(ierr);
1959     *nrm = 0.0;
1960     for (j=0; j<a->nz; j++) {
1961       tmp[*jj++] += PetscAbsScalar(*v);  v++;
1962     }
1963     for (j=0; j<A->cmap->n; j++) {
1964       if (tmp[j] > *nrm) *nrm = tmp[j];
1965     }
1966     ierr = PetscFree(tmp);CHKERRQ(ierr);
1967     ierr = PetscLogFlops(PetscMax(a->nz-1,0));CHKERRQ(ierr);
1968   } else if (type == NORM_INFINITY) {
1969     *nrm = 0.0;
1970     for (j=0; j<A->rmap->n; j++) {
1971       v   = a->a + a->i[j];
1972       sum = 0.0;
1973       for (i=0; i<a->i[j+1]-a->i[j]; i++) {
1974         sum += PetscAbsScalar(*v); v++;
1975       }
1976       if (sum > *nrm) *nrm = sum;
1977     }
1978     ierr = PetscLogFlops(PetscMax(a->nz-1,0));CHKERRQ(ierr);
1979   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for two norm");
1980   PetscFunctionReturn(0);
1981 }
1982 
1983 /* Merged from MatGetSymbolicTranspose_SeqAIJ() - replace MatGetSymbolicTranspose_SeqAIJ()? */
1984 PetscErrorCode MatTransposeSymbolic_SeqAIJ(Mat A,Mat *B)
1985 {
1986   PetscErrorCode ierr;
1987   PetscInt       i,j,anzj;
1988   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data,*b;
1989   PetscInt       an=A->cmap->N,am=A->rmap->N;
1990   PetscInt       *ati,*atj,*atfill,*ai=a->i,*aj=a->j;
1991 
1992   PetscFunctionBegin;
1993   /* Allocate space for symbolic transpose info and work array */
1994   ierr = PetscCalloc1(an+1,&ati);CHKERRQ(ierr);
1995   ierr = PetscMalloc1(ai[am],&atj);CHKERRQ(ierr);
1996   ierr = PetscMalloc1(an,&atfill);CHKERRQ(ierr);
1997 
1998   /* Walk through aj and count ## of non-zeros in each row of A^T. */
1999   /* Note: offset by 1 for fast conversion into csr format. */
2000   for (i=0;i<ai[am];i++) ati[aj[i]+1] += 1;
2001   /* Form ati for csr format of A^T. */
2002   for (i=0;i<an;i++) ati[i+1] += ati[i];
2003 
2004   /* Copy ati into atfill so we have locations of the next free space in atj */
2005   ierr = PetscMemcpy(atfill,ati,an*sizeof(PetscInt));CHKERRQ(ierr);
2006 
2007   /* Walk through A row-wise and mark nonzero entries of A^T. */
2008   for (i=0;i<am;i++) {
2009     anzj = ai[i+1] - ai[i];
2010     for (j=0;j<anzj;j++) {
2011       atj[atfill[*aj]] = i;
2012       atfill[*aj++]   += 1;
2013     }
2014   }
2015 
2016   /* Clean up temporary space and complete requests. */
2017   ierr = PetscFree(atfill);CHKERRQ(ierr);
2018   ierr = MatCreateSeqAIJWithArrays(PetscObjectComm((PetscObject)A),an,am,ati,atj,NULL,B);CHKERRQ(ierr);
2019   ierr = MatSetBlockSizes(*B,PetscAbs(A->cmap->bs),PetscAbs(A->rmap->bs));CHKERRQ(ierr);
2020 
2021   b          = (Mat_SeqAIJ*)((*B)->data);
2022   b->free_a  = PETSC_FALSE;
2023   b->free_ij = PETSC_TRUE;
2024   b->nonew   = 0;
2025   PetscFunctionReturn(0);
2026 }
2027 
2028 PetscErrorCode MatTranspose_SeqAIJ(Mat A,MatReuse reuse,Mat *B)
2029 {
2030   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2031   Mat            C;
2032   PetscErrorCode ierr;
2033   PetscInt       i,*aj = a->j,*ai = a->i,m = A->rmap->n,len,*col;
2034   MatScalar      *array = a->a;
2035 
2036   PetscFunctionBegin;
2037   if (reuse == MAT_INPLACE_MATRIX && m != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Square matrix only for in-place");
2038 
2039   if (reuse == MAT_INITIAL_MATRIX || reuse == MAT_INPLACE_MATRIX) {
2040     ierr = PetscCalloc1(1+A->cmap->n,&col);CHKERRQ(ierr);
2041 
2042     for (i=0; i<ai[m]; i++) col[aj[i]] += 1;
2043     ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2044     ierr = MatSetSizes(C,A->cmap->n,m,A->cmap->n,m);CHKERRQ(ierr);
2045     ierr = MatSetBlockSizes(C,PetscAbs(A->cmap->bs),PetscAbs(A->rmap->bs));CHKERRQ(ierr);
2046     ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2047     ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,col);CHKERRQ(ierr);
2048     ierr = PetscFree(col);CHKERRQ(ierr);
2049   } else {
2050     C = *B;
2051   }
2052 
2053   for (i=0; i<m; i++) {
2054     len    = ai[i+1]-ai[i];
2055     ierr   = MatSetValues_SeqAIJ(C,len,aj,1,&i,array,INSERT_VALUES);CHKERRQ(ierr);
2056     array += len;
2057     aj    += len;
2058   }
2059   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2060   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2061 
2062   if (reuse == MAT_INITIAL_MATRIX || reuse == MAT_REUSE_MATRIX) {
2063     *B = C;
2064   } else {
2065     ierr = MatHeaderMerge(A,&C);CHKERRQ(ierr);
2066   }
2067   PetscFunctionReturn(0);
2068 }
2069 
2070 PetscErrorCode  MatIsTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
2071 {
2072   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) A->data,*bij = (Mat_SeqAIJ*) B->data;
2073   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr;
2074   MatScalar      *va,*vb;
2075   PetscErrorCode ierr;
2076   PetscInt       ma,na,mb,nb, i;
2077 
2078   PetscFunctionBegin;
2079   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
2080   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
2081   if (ma!=nb || na!=mb) {
2082     *f = PETSC_FALSE;
2083     PetscFunctionReturn(0);
2084   }
2085   aii  = aij->i; bii = bij->i;
2086   adx  = aij->j; bdx = bij->j;
2087   va   = aij->a; vb = bij->a;
2088   ierr = PetscMalloc1(ma,&aptr);CHKERRQ(ierr);
2089   ierr = PetscMalloc1(mb,&bptr);CHKERRQ(ierr);
2090   for (i=0; i<ma; i++) aptr[i] = aii[i];
2091   for (i=0; i<mb; i++) bptr[i] = bii[i];
2092 
2093   *f = PETSC_TRUE;
2094   for (i=0; i<ma; i++) {
2095     while (aptr[i]<aii[i+1]) {
2096       PetscInt    idc,idr;
2097       PetscScalar vc,vr;
2098       /* column/row index/value */
2099       idc = adx[aptr[i]];
2100       idr = bdx[bptr[idc]];
2101       vc  = va[aptr[i]];
2102       vr  = vb[bptr[idc]];
2103       if (i!=idr || PetscAbsScalar(vc-vr) > tol) {
2104         *f = PETSC_FALSE;
2105         goto done;
2106       } else {
2107         aptr[i]++;
2108         if (B || i!=idc) bptr[idc]++;
2109       }
2110     }
2111   }
2112 done:
2113   ierr = PetscFree(aptr);CHKERRQ(ierr);
2114   ierr = PetscFree(bptr);CHKERRQ(ierr);
2115   PetscFunctionReturn(0);
2116 }
2117 
2118 PetscErrorCode  MatIsHermitianTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
2119 {
2120   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) A->data,*bij = (Mat_SeqAIJ*) B->data;
2121   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr;
2122   MatScalar      *va,*vb;
2123   PetscErrorCode ierr;
2124   PetscInt       ma,na,mb,nb, i;
2125 
2126   PetscFunctionBegin;
2127   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
2128   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
2129   if (ma!=nb || na!=mb) {
2130     *f = PETSC_FALSE;
2131     PetscFunctionReturn(0);
2132   }
2133   aii  = aij->i; bii = bij->i;
2134   adx  = aij->j; bdx = bij->j;
2135   va   = aij->a; vb = bij->a;
2136   ierr = PetscMalloc1(ma,&aptr);CHKERRQ(ierr);
2137   ierr = PetscMalloc1(mb,&bptr);CHKERRQ(ierr);
2138   for (i=0; i<ma; i++) aptr[i] = aii[i];
2139   for (i=0; i<mb; i++) bptr[i] = bii[i];
2140 
2141   *f = PETSC_TRUE;
2142   for (i=0; i<ma; i++) {
2143     while (aptr[i]<aii[i+1]) {
2144       PetscInt    idc,idr;
2145       PetscScalar vc,vr;
2146       /* column/row index/value */
2147       idc = adx[aptr[i]];
2148       idr = bdx[bptr[idc]];
2149       vc  = va[aptr[i]];
2150       vr  = vb[bptr[idc]];
2151       if (i!=idr || PetscAbsScalar(vc-PetscConj(vr)) > tol) {
2152         *f = PETSC_FALSE;
2153         goto done;
2154       } else {
2155         aptr[i]++;
2156         if (B || i!=idc) bptr[idc]++;
2157       }
2158     }
2159   }
2160 done:
2161   ierr = PetscFree(aptr);CHKERRQ(ierr);
2162   ierr = PetscFree(bptr);CHKERRQ(ierr);
2163   PetscFunctionReturn(0);
2164 }
2165 
2166 PetscErrorCode MatIsSymmetric_SeqAIJ(Mat A,PetscReal tol,PetscBool  *f)
2167 {
2168   PetscErrorCode ierr;
2169 
2170   PetscFunctionBegin;
2171   ierr = MatIsTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
2172   PetscFunctionReturn(0);
2173 }
2174 
2175 PetscErrorCode MatIsHermitian_SeqAIJ(Mat A,PetscReal tol,PetscBool  *f)
2176 {
2177   PetscErrorCode ierr;
2178 
2179   PetscFunctionBegin;
2180   ierr = MatIsHermitianTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
2181   PetscFunctionReturn(0);
2182 }
2183 
2184 PetscErrorCode MatDiagonalScale_SeqAIJ(Mat A,Vec ll,Vec rr)
2185 {
2186   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
2187   const PetscScalar *l,*r;
2188   PetscScalar       x;
2189   MatScalar         *v;
2190   PetscErrorCode    ierr;
2191   PetscInt          i,j,m = A->rmap->n,n = A->cmap->n,M,nz = a->nz;
2192   const PetscInt    *jj;
2193 
2194   PetscFunctionBegin;
2195   if (ll) {
2196     /* The local size is used so that VecMPI can be passed to this routine
2197        by MatDiagonalScale_MPIAIJ */
2198     ierr = VecGetLocalSize(ll,&m);CHKERRQ(ierr);
2199     if (m != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Left scaling vector wrong length");
2200     ierr = VecGetArrayRead(ll,&l);CHKERRQ(ierr);
2201     v    = a->a;
2202     for (i=0; i<m; i++) {
2203       x = l[i];
2204       M = a->i[i+1] - a->i[i];
2205       for (j=0; j<M; j++) (*v++) *= x;
2206     }
2207     ierr = VecRestoreArrayRead(ll,&l);CHKERRQ(ierr);
2208     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
2209   }
2210   if (rr) {
2211     ierr = VecGetLocalSize(rr,&n);CHKERRQ(ierr);
2212     if (n != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Right scaling vector wrong length");
2213     ierr = VecGetArrayRead(rr,&r);CHKERRQ(ierr);
2214     v    = a->a; jj = a->j;
2215     for (i=0; i<nz; i++) (*v++) *= r[*jj++];
2216     ierr = VecRestoreArrayRead(rr,&r);CHKERRQ(ierr);
2217     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
2218   }
2219   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
2220   PetscFunctionReturn(0);
2221 }
2222 
2223 PetscErrorCode MatCreateSubMatrix_SeqAIJ(Mat A,IS isrow,IS iscol,PetscInt csize,MatReuse scall,Mat *B)
2224 {
2225   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*c;
2226   PetscErrorCode ierr;
2227   PetscInt       *smap,i,k,kstart,kend,oldcols = A->cmap->n,*lens;
2228   PetscInt       row,mat_i,*mat_j,tcol,first,step,*mat_ilen,sum,lensi;
2229   const PetscInt *irow,*icol;
2230   PetscInt       nrows,ncols;
2231   PetscInt       *starts,*j_new,*i_new,*aj = a->j,*ai = a->i,ii,*ailen = a->ilen;
2232   MatScalar      *a_new,*mat_a;
2233   Mat            C;
2234   PetscBool      stride;
2235 
2236   PetscFunctionBegin;
2237 
2238   ierr = ISGetIndices(isrow,&irow);CHKERRQ(ierr);
2239   ierr = ISGetLocalSize(isrow,&nrows);CHKERRQ(ierr);
2240   ierr = ISGetLocalSize(iscol,&ncols);CHKERRQ(ierr);
2241 
2242   ierr = PetscObjectTypeCompare((PetscObject)iscol,ISSTRIDE,&stride);CHKERRQ(ierr);
2243   if (stride) {
2244     ierr = ISStrideGetInfo(iscol,&first,&step);CHKERRQ(ierr);
2245   } else {
2246     first = 0;
2247     step  = 0;
2248   }
2249   if (stride && step == 1) {
2250     /* special case of contiguous rows */
2251     ierr = PetscMalloc2(nrows,&lens,nrows,&starts);CHKERRQ(ierr);
2252     /* loop over new rows determining lens and starting points */
2253     for (i=0; i<nrows; i++) {
2254       kstart = ai[irow[i]];
2255       kend   = kstart + ailen[irow[i]];
2256       starts[i] = kstart;
2257       for (k=kstart; k<kend; k++) {
2258         if (aj[k] >= first) {
2259           starts[i] = k;
2260           break;
2261         }
2262       }
2263       sum = 0;
2264       while (k < kend) {
2265         if (aj[k++] >= first+ncols) break;
2266         sum++;
2267       }
2268       lens[i] = sum;
2269     }
2270     /* create submatrix */
2271     if (scall == MAT_REUSE_MATRIX) {
2272       PetscInt n_cols,n_rows;
2273       ierr = MatGetSize(*B,&n_rows,&n_cols);CHKERRQ(ierr);
2274       if (n_rows != nrows || n_cols != ncols) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Reused submatrix wrong size");
2275       ierr = MatZeroEntries(*B);CHKERRQ(ierr);
2276       C    = *B;
2277     } else {
2278       PetscInt rbs,cbs;
2279       ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2280       ierr = MatSetSizes(C,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2281       ierr = ISGetBlockSize(isrow,&rbs);CHKERRQ(ierr);
2282       ierr = ISGetBlockSize(iscol,&cbs);CHKERRQ(ierr);
2283       ierr = MatSetBlockSizes(C,rbs,cbs);CHKERRQ(ierr);
2284       ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2285       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
2286     }
2287     c = (Mat_SeqAIJ*)C->data;
2288 
2289     /* loop over rows inserting into submatrix */
2290     a_new = c->a;
2291     j_new = c->j;
2292     i_new = c->i;
2293 
2294     for (i=0; i<nrows; i++) {
2295       ii    = starts[i];
2296       lensi = lens[i];
2297       for (k=0; k<lensi; k++) {
2298         *j_new++ = aj[ii+k] - first;
2299       }
2300       ierr       = PetscMemcpy(a_new,a->a + starts[i],lensi*sizeof(PetscScalar));CHKERRQ(ierr);
2301       a_new     += lensi;
2302       i_new[i+1] = i_new[i] + lensi;
2303       c->ilen[i] = lensi;
2304     }
2305     ierr = PetscFree2(lens,starts);CHKERRQ(ierr);
2306   } else {
2307     ierr = ISGetIndices(iscol,&icol);CHKERRQ(ierr);
2308     ierr = PetscCalloc1(oldcols,&smap);CHKERRQ(ierr);
2309     ierr = PetscMalloc1(1+nrows,&lens);CHKERRQ(ierr);
2310     for (i=0; i<ncols; i++) {
2311 #if defined(PETSC_USE_DEBUG)
2312       if (icol[i] >= oldcols) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Requesting column beyond largest column icol[%D] %D <= A->cmap->n %D",i,icol[i],oldcols);
2313 #endif
2314       smap[icol[i]] = i+1;
2315     }
2316 
2317     /* determine lens of each row */
2318     for (i=0; i<nrows; i++) {
2319       kstart  = ai[irow[i]];
2320       kend    = kstart + a->ilen[irow[i]];
2321       lens[i] = 0;
2322       for (k=kstart; k<kend; k++) {
2323         if (smap[aj[k]]) {
2324           lens[i]++;
2325         }
2326       }
2327     }
2328     /* Create and fill new matrix */
2329     if (scall == MAT_REUSE_MATRIX) {
2330       PetscBool equal;
2331 
2332       c = (Mat_SeqAIJ*)((*B)->data);
2333       if ((*B)->rmap->n  != nrows || (*B)->cmap->n != ncols) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong size");
2334       ierr = PetscMemcmp(c->ilen,lens,(*B)->rmap->n*sizeof(PetscInt),&equal);CHKERRQ(ierr);
2335       if (!equal) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong no of nonzeros");
2336       ierr = PetscMemzero(c->ilen,(*B)->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
2337       C    = *B;
2338     } else {
2339       PetscInt rbs,cbs;
2340       ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2341       ierr = MatSetSizes(C,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2342       ierr = ISGetBlockSize(isrow,&rbs);CHKERRQ(ierr);
2343       ierr = ISGetBlockSize(iscol,&cbs);CHKERRQ(ierr);
2344       ierr = MatSetBlockSizes(C,rbs,cbs);CHKERRQ(ierr);
2345       ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2346       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
2347     }
2348     c = (Mat_SeqAIJ*)(C->data);
2349     for (i=0; i<nrows; i++) {
2350       row      = irow[i];
2351       kstart   = ai[row];
2352       kend     = kstart + a->ilen[row];
2353       mat_i    = c->i[i];
2354       mat_j    = c->j + mat_i;
2355       mat_a    = c->a + mat_i;
2356       mat_ilen = c->ilen + i;
2357       for (k=kstart; k<kend; k++) {
2358         if ((tcol=smap[a->j[k]])) {
2359           *mat_j++ = tcol - 1;
2360           *mat_a++ = a->a[k];
2361           (*mat_ilen)++;
2362 
2363         }
2364       }
2365     }
2366     /* Free work space */
2367     ierr = ISRestoreIndices(iscol,&icol);CHKERRQ(ierr);
2368     ierr = PetscFree(smap);CHKERRQ(ierr);
2369     ierr = PetscFree(lens);CHKERRQ(ierr);
2370     /* sort */
2371     for (i = 0; i < nrows; i++) {
2372       PetscInt ilen;
2373 
2374       mat_i = c->i[i];
2375       mat_j = c->j + mat_i;
2376       mat_a = c->a + mat_i;
2377       ilen  = c->ilen[i];
2378       ierr  = PetscSortIntWithScalarArray(ilen,mat_j,mat_a);CHKERRQ(ierr);
2379     }
2380   }
2381   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2382   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2383 
2384   ierr = ISRestoreIndices(isrow,&irow);CHKERRQ(ierr);
2385   *B   = C;
2386   PetscFunctionReturn(0);
2387 }
2388 
2389 PetscErrorCode  MatGetMultiProcBlock_SeqAIJ(Mat mat,MPI_Comm subComm,MatReuse scall,Mat *subMat)
2390 {
2391   PetscErrorCode ierr;
2392   Mat            B;
2393 
2394   PetscFunctionBegin;
2395   if (scall == MAT_INITIAL_MATRIX) {
2396     ierr    = MatCreate(subComm,&B);CHKERRQ(ierr);
2397     ierr    = MatSetSizes(B,mat->rmap->n,mat->cmap->n,mat->rmap->n,mat->cmap->n);CHKERRQ(ierr);
2398     ierr    = MatSetBlockSizesFromMats(B,mat,mat);CHKERRQ(ierr);
2399     ierr    = MatSetType(B,MATSEQAIJ);CHKERRQ(ierr);
2400     ierr    = MatDuplicateNoCreate_SeqAIJ(B,mat,MAT_COPY_VALUES,PETSC_TRUE);CHKERRQ(ierr);
2401     *subMat = B;
2402   } else {
2403     ierr = MatCopy_SeqAIJ(mat,*subMat,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
2404   }
2405   PetscFunctionReturn(0);
2406 }
2407 
2408 PetscErrorCode MatILUFactor_SeqAIJ(Mat inA,IS row,IS col,const MatFactorInfo *info)
2409 {
2410   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)inA->data;
2411   PetscErrorCode ierr;
2412   Mat            outA;
2413   PetscBool      row_identity,col_identity;
2414 
2415   PetscFunctionBegin;
2416   if (info->levels != 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only levels=0 supported for in-place ilu");
2417 
2418   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
2419   ierr = ISIdentity(col,&col_identity);CHKERRQ(ierr);
2420 
2421   outA             = inA;
2422   outA->factortype = MAT_FACTOR_LU;
2423   ierr = PetscFree(inA->solvertype);CHKERRQ(ierr);
2424   ierr = PetscStrallocpy(MATSOLVERPETSC,&inA->solvertype);CHKERRQ(ierr);
2425 
2426   ierr = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
2427   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
2428 
2429   a->row = row;
2430 
2431   ierr = PetscObjectReference((PetscObject)col);CHKERRQ(ierr);
2432   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
2433 
2434   a->col = col;
2435 
2436   /* Create the inverse permutation so that it can be used in MatLUFactorNumeric() */
2437   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
2438   ierr = ISInvertPermutation(col,PETSC_DECIDE,&a->icol);CHKERRQ(ierr);
2439   ierr = PetscLogObjectParent((PetscObject)inA,(PetscObject)a->icol);CHKERRQ(ierr);
2440 
2441   if (!a->solve_work) { /* this matrix may have been factored before */
2442     ierr = PetscMalloc1(inA->rmap->n+1,&a->solve_work);CHKERRQ(ierr);
2443     ierr = PetscLogObjectMemory((PetscObject)inA, (inA->rmap->n+1)*sizeof(PetscScalar));CHKERRQ(ierr);
2444   }
2445 
2446   ierr = MatMarkDiagonal_SeqAIJ(inA);CHKERRQ(ierr);
2447   if (row_identity && col_identity) {
2448     ierr = MatLUFactorNumeric_SeqAIJ_inplace(outA,inA,info);CHKERRQ(ierr);
2449   } else {
2450     ierr = MatLUFactorNumeric_SeqAIJ_InplaceWithPerm(outA,inA,info);CHKERRQ(ierr);
2451   }
2452   PetscFunctionReturn(0);
2453 }
2454 
2455 PetscErrorCode MatScale_SeqAIJ(Mat inA,PetscScalar alpha)
2456 {
2457   Mat_SeqAIJ     *a     = (Mat_SeqAIJ*)inA->data;
2458   PetscScalar    oalpha = alpha;
2459   PetscErrorCode ierr;
2460   PetscBLASInt   one = 1,bnz;
2461 
2462   PetscFunctionBegin;
2463   ierr = PetscBLASIntCast(a->nz,&bnz);CHKERRQ(ierr);
2464   PetscStackCallBLAS("BLASscal",BLASscal_(&bnz,&oalpha,a->a,&one));
2465   ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
2466   ierr = MatSeqAIJInvalidateDiagonal(inA);CHKERRQ(ierr);
2467   PetscFunctionReturn(0);
2468 }
2469 
2470 PetscErrorCode MatDestroySubMatrices_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 MatDestroy_SeqAIJ_Submatrices(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 = MatDestroySubMatrices_Private(submatj);CHKERRQ(ierr);
2526   PetscFunctionReturn(0);
2527 }
2528 
2529 PetscErrorCode MatCreateSubMatrices_SeqAIJ(Mat A,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
2530 {
2531   PetscErrorCode ierr;
2532   PetscInt       i;
2533 
2534   PetscFunctionBegin;
2535   if (scall == MAT_INITIAL_MATRIX) {
2536     ierr = PetscCalloc1(n+1,B);CHKERRQ(ierr);
2537   }
2538 
2539   for (i=0; i<n; i++) {
2540     ierr = MatCreateSubMatrix_SeqAIJ(A,irow[i],icol[i],PETSC_DECIDE,scall,&(*B)[i]);CHKERRQ(ierr);
2541   }
2542   PetscFunctionReturn(0);
2543 }
2544 
2545 PetscErrorCode MatIncreaseOverlap_SeqAIJ(Mat A,PetscInt is_max,IS is[],PetscInt ov)
2546 {
2547   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2548   PetscErrorCode ierr;
2549   PetscInt       row,i,j,k,l,m,n,*nidx,isz,val;
2550   const PetscInt *idx;
2551   PetscInt       start,end,*ai,*aj;
2552   PetscBT        table;
2553 
2554   PetscFunctionBegin;
2555   m  = A->rmap->n;
2556   ai = a->i;
2557   aj = a->j;
2558 
2559   if (ov < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"illegal negative overlap value used");
2560 
2561   ierr = PetscMalloc1(m+1,&nidx);CHKERRQ(ierr);
2562   ierr = PetscBTCreate(m,&table);CHKERRQ(ierr);
2563 
2564   for (i=0; i<is_max; i++) {
2565     /* Initialize the two local arrays */
2566     isz  = 0;
2567     ierr = PetscBTMemzero(m,table);CHKERRQ(ierr);
2568 
2569     /* Extract the indices, assume there can be duplicate entries */
2570     ierr = ISGetIndices(is[i],&idx);CHKERRQ(ierr);
2571     ierr = ISGetLocalSize(is[i],&n);CHKERRQ(ierr);
2572 
2573     /* Enter these into the temp arrays. I.e., mark table[row], enter row into new index */
2574     for (j=0; j<n; ++j) {
2575       if (!PetscBTLookupSet(table,idx[j])) nidx[isz++] = idx[j];
2576     }
2577     ierr = ISRestoreIndices(is[i],&idx);CHKERRQ(ierr);
2578     ierr = ISDestroy(&is[i]);CHKERRQ(ierr);
2579 
2580     k = 0;
2581     for (j=0; j<ov; j++) { /* for each overlap */
2582       n = isz;
2583       for (; k<n; k++) { /* do only those rows in nidx[k], which are not done yet */
2584         row   = nidx[k];
2585         start = ai[row];
2586         end   = ai[row+1];
2587         for (l = start; l<end; l++) {
2588           val = aj[l];
2589           if (!PetscBTLookupSet(table,val)) nidx[isz++] = val;
2590         }
2591       }
2592     }
2593     ierr = ISCreateGeneral(PETSC_COMM_SELF,isz,nidx,PETSC_COPY_VALUES,(is+i));CHKERRQ(ierr);
2594   }
2595   ierr = PetscBTDestroy(&table);CHKERRQ(ierr);
2596   ierr = PetscFree(nidx);CHKERRQ(ierr);
2597   PetscFunctionReturn(0);
2598 }
2599 
2600 /* -------------------------------------------------------------- */
2601 PetscErrorCode MatPermute_SeqAIJ(Mat A,IS rowp,IS colp,Mat *B)
2602 {
2603   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2604   PetscErrorCode ierr;
2605   PetscInt       i,nz = 0,m = A->rmap->n,n = A->cmap->n;
2606   const PetscInt *row,*col;
2607   PetscInt       *cnew,j,*lens;
2608   IS             icolp,irowp;
2609   PetscInt       *cwork = NULL;
2610   PetscScalar    *vwork = NULL;
2611 
2612   PetscFunctionBegin;
2613   ierr = ISInvertPermutation(rowp,PETSC_DECIDE,&irowp);CHKERRQ(ierr);
2614   ierr = ISGetIndices(irowp,&row);CHKERRQ(ierr);
2615   ierr = ISInvertPermutation(colp,PETSC_DECIDE,&icolp);CHKERRQ(ierr);
2616   ierr = ISGetIndices(icolp,&col);CHKERRQ(ierr);
2617 
2618   /* determine lengths of permuted rows */
2619   ierr = PetscMalloc1(m+1,&lens);CHKERRQ(ierr);
2620   for (i=0; i<m; i++) lens[row[i]] = a->i[i+1] - a->i[i];
2621   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
2622   ierr = MatSetSizes(*B,m,n,m,n);CHKERRQ(ierr);
2623   ierr = MatSetBlockSizesFromMats(*B,A,A);CHKERRQ(ierr);
2624   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2625   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*B,0,lens);CHKERRQ(ierr);
2626   ierr = PetscFree(lens);CHKERRQ(ierr);
2627 
2628   ierr = PetscMalloc1(n,&cnew);CHKERRQ(ierr);
2629   for (i=0; i<m; i++) {
2630     ierr = MatGetRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2631     for (j=0; j<nz; j++) cnew[j] = col[cwork[j]];
2632     ierr = MatSetValues_SeqAIJ(*B,1,&row[i],nz,cnew,vwork,INSERT_VALUES);CHKERRQ(ierr);
2633     ierr = MatRestoreRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2634   }
2635   ierr = PetscFree(cnew);CHKERRQ(ierr);
2636 
2637   (*B)->assembled = PETSC_FALSE;
2638 
2639   ierr = MatAssemblyBegin(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2640   ierr = MatAssemblyEnd(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2641   ierr = ISRestoreIndices(irowp,&row);CHKERRQ(ierr);
2642   ierr = ISRestoreIndices(icolp,&col);CHKERRQ(ierr);
2643   ierr = ISDestroy(&irowp);CHKERRQ(ierr);
2644   ierr = ISDestroy(&icolp);CHKERRQ(ierr);
2645   PetscFunctionReturn(0);
2646 }
2647 
2648 PetscErrorCode MatCopy_SeqAIJ(Mat A,Mat B,MatStructure str)
2649 {
2650   PetscErrorCode ierr;
2651 
2652   PetscFunctionBegin;
2653   /* If the two matrices have the same copy implementation, use fast copy. */
2654   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
2655     Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2656     Mat_SeqAIJ *b = (Mat_SeqAIJ*)B->data;
2657 
2658     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");
2659     ierr = PetscMemcpy(b->a,a->a,(a->i[A->rmap->n])*sizeof(PetscScalar));CHKERRQ(ierr);
2660     ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
2661   } else {
2662     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
2663   }
2664   PetscFunctionReturn(0);
2665 }
2666 
2667 PetscErrorCode MatSetUp_SeqAIJ(Mat A)
2668 {
2669   PetscErrorCode ierr;
2670 
2671   PetscFunctionBegin;
2672   ierr =  MatSeqAIJSetPreallocation_SeqAIJ(A,PETSC_DEFAULT,0);CHKERRQ(ierr);
2673   PetscFunctionReturn(0);
2674 }
2675 
2676 PetscErrorCode MatSeqAIJGetArray_SeqAIJ(Mat A,PetscScalar *array[])
2677 {
2678   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2679 
2680   PetscFunctionBegin;
2681   *array = a->a;
2682   PetscFunctionReturn(0);
2683 }
2684 
2685 PetscErrorCode MatSeqAIJRestoreArray_SeqAIJ(Mat A,PetscScalar *array[])
2686 {
2687   PetscFunctionBegin;
2688   PetscFunctionReturn(0);
2689 }
2690 
2691 /*
2692    Computes the number of nonzeros per row needed for preallocation when X and Y
2693    have different nonzero structure.
2694 */
2695 PetscErrorCode MatAXPYGetPreallocation_SeqX_private(PetscInt m,const PetscInt *xi,const PetscInt *xj,const PetscInt *yi,const PetscInt *yj,PetscInt *nnz)
2696 {
2697   PetscInt       i,j,k,nzx,nzy;
2698 
2699   PetscFunctionBegin;
2700   /* Set the number of nonzeros in the new matrix */
2701   for (i=0; i<m; i++) {
2702     const PetscInt *xjj = xj+xi[i],*yjj = yj+yi[i];
2703     nzx = xi[i+1] - xi[i];
2704     nzy = yi[i+1] - yi[i];
2705     nnz[i] = 0;
2706     for (j=0,k=0; j<nzx; j++) {                   /* Point in X */
2707       for (; k<nzy && yjj[k]<xjj[j]; k++) nnz[i]++; /* Catch up to X */
2708       if (k<nzy && yjj[k]==xjj[j]) k++;             /* Skip duplicate */
2709       nnz[i]++;
2710     }
2711     for (; k<nzy; k++) nnz[i]++;
2712   }
2713   PetscFunctionReturn(0);
2714 }
2715 
2716 PetscErrorCode MatAXPYGetPreallocation_SeqAIJ(Mat Y,Mat X,PetscInt *nnz)
2717 {
2718   PetscInt       m = Y->rmap->N;
2719   Mat_SeqAIJ     *x = (Mat_SeqAIJ*)X->data;
2720   Mat_SeqAIJ     *y = (Mat_SeqAIJ*)Y->data;
2721   PetscErrorCode ierr;
2722 
2723   PetscFunctionBegin;
2724   /* Set the number of nonzeros in the new matrix */
2725   ierr = MatAXPYGetPreallocation_SeqX_private(m,x->i,x->j,y->i,y->j,nnz);CHKERRQ(ierr);
2726   PetscFunctionReturn(0);
2727 }
2728 
2729 PetscErrorCode MatAXPY_SeqAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
2730 {
2731   PetscErrorCode ierr;
2732   Mat_SeqAIJ     *x = (Mat_SeqAIJ*)X->data,*y = (Mat_SeqAIJ*)Y->data;
2733   PetscBLASInt   one=1,bnz;
2734 
2735   PetscFunctionBegin;
2736   ierr = PetscBLASIntCast(x->nz,&bnz);CHKERRQ(ierr);
2737   if (str == SAME_NONZERO_PATTERN) {
2738     PetscScalar alpha = a;
2739     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
2740     ierr = MatSeqAIJInvalidateDiagonal(Y);CHKERRQ(ierr);
2741     ierr = PetscObjectStateIncrease((PetscObject)Y);CHKERRQ(ierr);
2742   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
2743     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
2744   } else {
2745     Mat      B;
2746     PetscInt *nnz;
2747     ierr = PetscMalloc1(Y->rmap->N,&nnz);CHKERRQ(ierr);
2748     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
2749     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
2750     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
2751     ierr = MatSetBlockSizesFromMats(B,Y,Y);CHKERRQ(ierr);
2752     ierr = MatSetType(B,(MatType) ((PetscObject)Y)->type_name);CHKERRQ(ierr);
2753     ierr = MatAXPYGetPreallocation_SeqAIJ(Y,X,nnz);CHKERRQ(ierr);
2754     ierr = MatSeqAIJSetPreallocation(B,0,nnz);CHKERRQ(ierr);
2755     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
2756     ierr = MatHeaderReplace(Y,&B);CHKERRQ(ierr);
2757     ierr = PetscFree(nnz);CHKERRQ(ierr);
2758   }
2759   PetscFunctionReturn(0);
2760 }
2761 
2762 PetscErrorCode  MatConjugate_SeqAIJ(Mat mat)
2763 {
2764 #if defined(PETSC_USE_COMPLEX)
2765   Mat_SeqAIJ  *aij = (Mat_SeqAIJ*)mat->data;
2766   PetscInt    i,nz;
2767   PetscScalar *a;
2768 
2769   PetscFunctionBegin;
2770   nz = aij->nz;
2771   a  = aij->a;
2772   for (i=0; i<nz; i++) a[i] = PetscConj(a[i]);
2773 #else
2774   PetscFunctionBegin;
2775 #endif
2776   PetscFunctionReturn(0);
2777 }
2778 
2779 PetscErrorCode MatGetRowMaxAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2780 {
2781   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2782   PetscErrorCode ierr;
2783   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2784   PetscReal      atmp;
2785   PetscScalar    *x;
2786   MatScalar      *aa;
2787 
2788   PetscFunctionBegin;
2789   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2790   aa = a->a;
2791   ai = a->i;
2792   aj = a->j;
2793 
2794   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2795   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2796   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2797   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2798   for (i=0; i<m; i++) {
2799     ncols = ai[1] - ai[0]; ai++;
2800     x[i]  = 0.0;
2801     for (j=0; j<ncols; j++) {
2802       atmp = PetscAbsScalar(*aa);
2803       if (PetscAbsScalar(x[i]) < atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
2804       aa++; aj++;
2805     }
2806   }
2807   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2808   PetscFunctionReturn(0);
2809 }
2810 
2811 PetscErrorCode MatGetRowMax_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2812 {
2813   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2814   PetscErrorCode ierr;
2815   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2816   PetscScalar    *x;
2817   MatScalar      *aa;
2818 
2819   PetscFunctionBegin;
2820   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2821   aa = a->a;
2822   ai = a->i;
2823   aj = a->j;
2824 
2825   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2826   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2827   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2828   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2829   for (i=0; i<m; i++) {
2830     ncols = ai[1] - ai[0]; ai++;
2831     if (ncols == A->cmap->n) { /* row is dense */
2832       x[i] = *aa; if (idx) idx[i] = 0;
2833     } else {  /* row is sparse so already KNOW maximum is 0.0 or higher */
2834       x[i] = 0.0;
2835       if (idx) {
2836         idx[i] = 0; /* in case ncols is zero */
2837         for (j=0;j<ncols;j++) { /* find first implicit 0.0 in the row */
2838           if (aj[j] > j) {
2839             idx[i] = j;
2840             break;
2841           }
2842         }
2843       }
2844     }
2845     for (j=0; j<ncols; j++) {
2846       if (PetscRealPart(x[i]) < PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
2847       aa++; aj++;
2848     }
2849   }
2850   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2851   PetscFunctionReturn(0);
2852 }
2853 
2854 PetscErrorCode MatGetRowMinAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2855 {
2856   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2857   PetscErrorCode ierr;
2858   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2859   PetscReal      atmp;
2860   PetscScalar    *x;
2861   MatScalar      *aa;
2862 
2863   PetscFunctionBegin;
2864   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2865   aa = a->a;
2866   ai = a->i;
2867   aj = a->j;
2868 
2869   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2870   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2871   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2872   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);
2873   for (i=0; i<m; i++) {
2874     ncols = ai[1] - ai[0]; ai++;
2875     if (ncols) {
2876       /* Get first nonzero */
2877       for (j = 0; j < ncols; j++) {
2878         atmp = PetscAbsScalar(aa[j]);
2879         if (atmp > 1.0e-12) {
2880           x[i] = atmp;
2881           if (idx) idx[i] = aj[j];
2882           break;
2883         }
2884       }
2885       if (j == ncols) {x[i] = PetscAbsScalar(*aa); if (idx) idx[i] = *aj;}
2886     } else {
2887       x[i] = 0.0; if (idx) idx[i] = 0;
2888     }
2889     for (j = 0; j < ncols; j++) {
2890       atmp = PetscAbsScalar(*aa);
2891       if (atmp > 1.0e-12 && PetscAbsScalar(x[i]) > atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
2892       aa++; aj++;
2893     }
2894   }
2895   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2896   PetscFunctionReturn(0);
2897 }
2898 
2899 PetscErrorCode MatGetRowMin_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2900 {
2901   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
2902   PetscErrorCode  ierr;
2903   PetscInt        i,j,m = A->rmap->n,ncols,n;
2904   const PetscInt  *ai,*aj;
2905   PetscScalar     *x;
2906   const MatScalar *aa;
2907 
2908   PetscFunctionBegin;
2909   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2910   aa = a->a;
2911   ai = a->i;
2912   aj = a->j;
2913 
2914   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2915   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2916   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2917   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2918   for (i=0; i<m; i++) {
2919     ncols = ai[1] - ai[0]; ai++;
2920     if (ncols == A->cmap->n) { /* row is dense */
2921       x[i] = *aa; if (idx) idx[i] = 0;
2922     } else {  /* row is sparse so already KNOW minimum is 0.0 or lower */
2923       x[i] = 0.0;
2924       if (idx) {   /* find first implicit 0.0 in the row */
2925         idx[i] = 0; /* in case ncols is zero */
2926         for (j=0; j<ncols; j++) {
2927           if (aj[j] > j) {
2928             idx[i] = j;
2929             break;
2930           }
2931         }
2932       }
2933     }
2934     for (j=0; j<ncols; j++) {
2935       if (PetscRealPart(x[i]) > PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
2936       aa++; aj++;
2937     }
2938   }
2939   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2940   PetscFunctionReturn(0);
2941 }
2942 
2943 #include <petscblaslapack.h>
2944 #include <petsc/private/kernels/blockinvert.h>
2945 
2946 PetscErrorCode MatInvertBlockDiagonal_SeqAIJ(Mat A,const PetscScalar **values)
2947 {
2948   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
2949   PetscErrorCode ierr;
2950   PetscInt       i,bs = PetscAbs(A->rmap->bs),mbs = A->rmap->n/bs,ipvt[5],bs2 = bs*bs,*v_pivots,ij[7],*IJ,j;
2951   MatScalar      *diag,work[25],*v_work;
2952   PetscReal      shift = 0.0;
2953   PetscBool      allowzeropivot,zeropivotdetected=PETSC_FALSE;
2954 
2955   PetscFunctionBegin;
2956   allowzeropivot = PetscNot(A->erroriffailure);
2957   if (a->ibdiagvalid) {
2958     if (values) *values = a->ibdiag;
2959     PetscFunctionReturn(0);
2960   }
2961   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
2962   if (!a->ibdiag) {
2963     ierr = PetscMalloc1(bs2*mbs,&a->ibdiag);CHKERRQ(ierr);
2964     ierr = PetscLogObjectMemory((PetscObject)A,bs2*mbs*sizeof(PetscScalar));CHKERRQ(ierr);
2965   }
2966   diag = a->ibdiag;
2967   if (values) *values = a->ibdiag;
2968   /* factor and invert each block */
2969   switch (bs) {
2970   case 1:
2971     for (i=0; i<mbs; i++) {
2972       ierr    = MatGetValues(A,1,&i,1,&i,diag+i);CHKERRQ(ierr);
2973       if (PetscAbsScalar(diag[i] + shift) < PETSC_MACHINE_EPSILON) {
2974         if (allowzeropivot) {
2975           A->factorerrortype             = MAT_FACTOR_NUMERIC_ZEROPIVOT;
2976           A->factorerror_zeropivot_value = PetscAbsScalar(diag[i]);
2977           A->factorerror_zeropivot_row   = i;
2978           ierr = PetscInfo3(A,"Zero pivot, row %D pivot %g tolerance %g\n",i,(double)PetscAbsScalar(diag[i]),(double)PETSC_MACHINE_EPSILON);CHKERRQ(ierr);
2979         } 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);
2980       }
2981       diag[i] = (PetscScalar)1.0 / (diag[i] + shift);
2982     }
2983     break;
2984   case 2:
2985     for (i=0; i<mbs; i++) {
2986       ij[0] = 2*i; ij[1] = 2*i + 1;
2987       ierr  = MatGetValues(A,2,ij,2,ij,diag);CHKERRQ(ierr);
2988       ierr  = PetscKernel_A_gets_inverse_A_2(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
2989       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
2990       ierr  = PetscKernel_A_gets_transpose_A_2(diag);CHKERRQ(ierr);
2991       diag += 4;
2992     }
2993     break;
2994   case 3:
2995     for (i=0; i<mbs; i++) {
2996       ij[0] = 3*i; ij[1] = 3*i + 1; ij[2] = 3*i + 2;
2997       ierr  = MatGetValues(A,3,ij,3,ij,diag);CHKERRQ(ierr);
2998       ierr  = PetscKernel_A_gets_inverse_A_3(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
2999       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3000       ierr  = PetscKernel_A_gets_transpose_A_3(diag);CHKERRQ(ierr);
3001       diag += 9;
3002     }
3003     break;
3004   case 4:
3005     for (i=0; i<mbs; i++) {
3006       ij[0] = 4*i; ij[1] = 4*i + 1; ij[2] = 4*i + 2; ij[3] = 4*i + 3;
3007       ierr  = MatGetValues(A,4,ij,4,ij,diag);CHKERRQ(ierr);
3008       ierr  = PetscKernel_A_gets_inverse_A_4(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3009       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3010       ierr  = PetscKernel_A_gets_transpose_A_4(diag);CHKERRQ(ierr);
3011       diag += 16;
3012     }
3013     break;
3014   case 5:
3015     for (i=0; i<mbs; i++) {
3016       ij[0] = 5*i; ij[1] = 5*i + 1; ij[2] = 5*i + 2; ij[3] = 5*i + 3; ij[4] = 5*i + 4;
3017       ierr  = MatGetValues(A,5,ij,5,ij,diag);CHKERRQ(ierr);
3018       ierr  = PetscKernel_A_gets_inverse_A_5(diag,ipvt,work,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3019       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3020       ierr  = PetscKernel_A_gets_transpose_A_5(diag);CHKERRQ(ierr);
3021       diag += 25;
3022     }
3023     break;
3024   case 6:
3025     for (i=0; i<mbs; i++) {
3026       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;
3027       ierr  = MatGetValues(A,6,ij,6,ij,diag);CHKERRQ(ierr);
3028       ierr  = PetscKernel_A_gets_inverse_A_6(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3029       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3030       ierr  = PetscKernel_A_gets_transpose_A_6(diag);CHKERRQ(ierr);
3031       diag += 36;
3032     }
3033     break;
3034   case 7:
3035     for (i=0; i<mbs; i++) {
3036       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;
3037       ierr  = MatGetValues(A,7,ij,7,ij,diag);CHKERRQ(ierr);
3038       ierr  = PetscKernel_A_gets_inverse_A_7(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3039       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3040       ierr  = PetscKernel_A_gets_transpose_A_7(diag);CHKERRQ(ierr);
3041       diag += 49;
3042     }
3043     break;
3044   default:
3045     ierr = PetscMalloc3(bs,&v_work,bs,&v_pivots,bs,&IJ);CHKERRQ(ierr);
3046     for (i=0; i<mbs; i++) {
3047       for (j=0; j<bs; j++) {
3048         IJ[j] = bs*i + j;
3049       }
3050       ierr  = MatGetValues(A,bs,IJ,bs,IJ,diag);CHKERRQ(ierr);
3051       ierr  = PetscKernel_A_gets_inverse_A(bs,diag,v_pivots,v_work,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3052       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3053       ierr  = PetscKernel_A_gets_transpose_A_N(diag,bs);CHKERRQ(ierr);
3054       diag += bs2;
3055     }
3056     ierr = PetscFree3(v_work,v_pivots,IJ);CHKERRQ(ierr);
3057   }
3058   a->ibdiagvalid = PETSC_TRUE;
3059   PetscFunctionReturn(0);
3060 }
3061 
3062 static PetscErrorCode  MatSetRandom_SeqAIJ(Mat x,PetscRandom rctx)
3063 {
3064   PetscErrorCode ierr;
3065   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)x->data;
3066   PetscScalar    a;
3067   PetscInt       m,n,i,j,col;
3068 
3069   PetscFunctionBegin;
3070   if (!x->assembled) {
3071     ierr = MatGetSize(x,&m,&n);CHKERRQ(ierr);
3072     for (i=0; i<m; i++) {
3073       for (j=0; j<aij->imax[i]; j++) {
3074         ierr = PetscRandomGetValue(rctx,&a);CHKERRQ(ierr);
3075         col  = (PetscInt)(n*PetscRealPart(a));
3076         ierr = MatSetValues(x,1,&i,1,&col,&a,ADD_VALUES);CHKERRQ(ierr);
3077       }
3078     }
3079   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet coded");
3080   ierr = MatAssemblyBegin(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3081   ierr = MatAssemblyEnd(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3082   PetscFunctionReturn(0);
3083 }
3084 
3085 PetscErrorCode MatShift_SeqAIJ(Mat Y,PetscScalar a)
3086 {
3087   PetscErrorCode ierr;
3088   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)Y->data;
3089 
3090   PetscFunctionBegin;
3091   if (!Y->preallocated || !aij->nz) {
3092     ierr = MatSeqAIJSetPreallocation(Y,1,NULL);CHKERRQ(ierr);
3093   }
3094   ierr = MatShift_Basic(Y,a);CHKERRQ(ierr);
3095   PetscFunctionReturn(0);
3096 }
3097 
3098 /* -------------------------------------------------------------------*/
3099 static struct _MatOps MatOps_Values = { MatSetValues_SeqAIJ,
3100                                         MatGetRow_SeqAIJ,
3101                                         MatRestoreRow_SeqAIJ,
3102                                         MatMult_SeqAIJ,
3103                                 /*  4*/ MatMultAdd_SeqAIJ,
3104                                         MatMultTranspose_SeqAIJ,
3105                                         MatMultTransposeAdd_SeqAIJ,
3106                                         0,
3107                                         0,
3108                                         0,
3109                                 /* 10*/ 0,
3110                                         MatLUFactor_SeqAIJ,
3111                                         0,
3112                                         MatSOR_SeqAIJ,
3113                                         MatTranspose_SeqAIJ,
3114                                 /*1 5*/ MatGetInfo_SeqAIJ,
3115                                         MatEqual_SeqAIJ,
3116                                         MatGetDiagonal_SeqAIJ,
3117                                         MatDiagonalScale_SeqAIJ,
3118                                         MatNorm_SeqAIJ,
3119                                 /* 20*/ 0,
3120                                         MatAssemblyEnd_SeqAIJ,
3121                                         MatSetOption_SeqAIJ,
3122                                         MatZeroEntries_SeqAIJ,
3123                                 /* 24*/ MatZeroRows_SeqAIJ,
3124                                         0,
3125                                         0,
3126                                         0,
3127                                         0,
3128                                 /* 29*/ MatSetUp_SeqAIJ,
3129                                         0,
3130                                         0,
3131                                         0,
3132                                         0,
3133                                 /* 34*/ MatDuplicate_SeqAIJ,
3134                                         0,
3135                                         0,
3136                                         MatILUFactor_SeqAIJ,
3137                                         0,
3138                                 /* 39*/ MatAXPY_SeqAIJ,
3139                                         MatCreateSubMatrices_SeqAIJ,
3140                                         MatIncreaseOverlap_SeqAIJ,
3141                                         MatGetValues_SeqAIJ,
3142                                         MatCopy_SeqAIJ,
3143                                 /* 44*/ MatGetRowMax_SeqAIJ,
3144                                         MatScale_SeqAIJ,
3145                                         MatShift_SeqAIJ,
3146                                         MatDiagonalSet_SeqAIJ,
3147                                         MatZeroRowsColumns_SeqAIJ,
3148                                 /* 49*/ MatSetRandom_SeqAIJ,
3149                                         MatGetRowIJ_SeqAIJ,
3150                                         MatRestoreRowIJ_SeqAIJ,
3151                                         MatGetColumnIJ_SeqAIJ,
3152                                         MatRestoreColumnIJ_SeqAIJ,
3153                                 /* 54*/ MatFDColoringCreate_SeqXAIJ,
3154                                         0,
3155                                         0,
3156                                         MatPermute_SeqAIJ,
3157                                         0,
3158                                 /* 59*/ 0,
3159                                         MatDestroy_SeqAIJ,
3160                                         MatView_SeqAIJ,
3161                                         0,
3162                                         MatMatMatMult_SeqAIJ_SeqAIJ_SeqAIJ,
3163                                 /* 64*/ MatMatMatMultSymbolic_SeqAIJ_SeqAIJ_SeqAIJ,
3164                                         MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqAIJ,
3165                                         0,
3166                                         0,
3167                                         0,
3168                                 /* 69*/ MatGetRowMaxAbs_SeqAIJ,
3169                                         MatGetRowMinAbs_SeqAIJ,
3170                                         0,
3171                                         0,
3172                                         0,
3173                                 /* 74*/ 0,
3174                                         MatFDColoringApply_AIJ,
3175                                         0,
3176                                         0,
3177                                         0,
3178                                 /* 79*/ MatFindZeroDiagonals_SeqAIJ,
3179                                         0,
3180                                         0,
3181                                         0,
3182                                         MatLoad_SeqAIJ,
3183                                 /* 84*/ MatIsSymmetric_SeqAIJ,
3184                                         MatIsHermitian_SeqAIJ,
3185                                         0,
3186                                         0,
3187                                         0,
3188                                 /* 89*/ MatMatMult_SeqAIJ_SeqAIJ,
3189                                         MatMatMultSymbolic_SeqAIJ_SeqAIJ,
3190                                         MatMatMultNumeric_SeqAIJ_SeqAIJ,
3191                                         MatPtAP_SeqAIJ_SeqAIJ,
3192                                         MatPtAPSymbolic_SeqAIJ_SeqAIJ_DenseAxpy,
3193                                 /* 94*/ MatPtAPNumeric_SeqAIJ_SeqAIJ,
3194                                         MatMatTransposeMult_SeqAIJ_SeqAIJ,
3195                                         MatMatTransposeMultSymbolic_SeqAIJ_SeqAIJ,
3196                                         MatMatTransposeMultNumeric_SeqAIJ_SeqAIJ,
3197                                         0,
3198                                 /* 99*/ 0,
3199                                         0,
3200                                         0,
3201                                         MatConjugate_SeqAIJ,
3202                                         0,
3203                                 /*104*/ MatSetValuesRow_SeqAIJ,
3204                                         MatRealPart_SeqAIJ,
3205                                         MatImaginaryPart_SeqAIJ,
3206                                         0,
3207                                         0,
3208                                 /*109*/ MatMatSolve_SeqAIJ,
3209                                         0,
3210                                         MatGetRowMin_SeqAIJ,
3211                                         0,
3212                                         MatMissingDiagonal_SeqAIJ,
3213                                 /*114*/ 0,
3214                                         0,
3215                                         0,
3216                                         0,
3217                                         0,
3218                                 /*119*/ 0,
3219                                         0,
3220                                         0,
3221                                         0,
3222                                         MatGetMultiProcBlock_SeqAIJ,
3223                                 /*124*/ MatFindNonzeroRows_SeqAIJ,
3224                                         MatGetColumnNorms_SeqAIJ,
3225                                         MatInvertBlockDiagonal_SeqAIJ,
3226                                         0,
3227                                         0,
3228                                 /*129*/ 0,
3229                                         MatTransposeMatMult_SeqAIJ_SeqAIJ,
3230                                         MatTransposeMatMultSymbolic_SeqAIJ_SeqAIJ,
3231                                         MatTransposeMatMultNumeric_SeqAIJ_SeqAIJ,
3232                                         MatTransposeColoringCreate_SeqAIJ,
3233                                 /*134*/ MatTransColoringApplySpToDen_SeqAIJ,
3234                                         MatTransColoringApplyDenToSp_SeqAIJ,
3235                                         MatRARt_SeqAIJ_SeqAIJ,
3236                                         MatRARtSymbolic_SeqAIJ_SeqAIJ,
3237                                         MatRARtNumeric_SeqAIJ_SeqAIJ,
3238                                  /*139*/0,
3239                                         0,
3240                                         0,
3241                                         MatFDColoringSetUp_SeqXAIJ,
3242                                         MatFindOffBlockDiagonalEntries_SeqAIJ,
3243                                  /*144*/MatCreateMPIMatConcatenateSeqMat_SeqAIJ
3244 };
3245 
3246 PetscErrorCode  MatSeqAIJSetColumnIndices_SeqAIJ(Mat mat,PetscInt *indices)
3247 {
3248   Mat_SeqAIJ *aij = (Mat_SeqAIJ*)mat->data;
3249   PetscInt   i,nz,n;
3250 
3251   PetscFunctionBegin;
3252   nz = aij->maxnz;
3253   n  = mat->rmap->n;
3254   for (i=0; i<nz; i++) {
3255     aij->j[i] = indices[i];
3256   }
3257   aij->nz = nz;
3258   for (i=0; i<n; i++) {
3259     aij->ilen[i] = aij->imax[i];
3260   }
3261   PetscFunctionReturn(0);
3262 }
3263 
3264 /*@
3265     MatSeqAIJSetColumnIndices - Set the column indices for all the rows
3266        in the matrix.
3267 
3268   Input Parameters:
3269 +  mat - the SeqAIJ matrix
3270 -  indices - the column indices
3271 
3272   Level: advanced
3273 
3274   Notes:
3275     This can be called if you have precomputed the nonzero structure of the
3276   matrix and want to provide it to the matrix object to improve the performance
3277   of the MatSetValues() operation.
3278 
3279     You MUST have set the correct numbers of nonzeros per row in the call to
3280   MatCreateSeqAIJ(), and the columns indices MUST be sorted.
3281 
3282     MUST be called before any calls to MatSetValues();
3283 
3284     The indices should start with zero, not one.
3285 
3286 @*/
3287 PetscErrorCode  MatSeqAIJSetColumnIndices(Mat mat,PetscInt *indices)
3288 {
3289   PetscErrorCode ierr;
3290 
3291   PetscFunctionBegin;
3292   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3293   PetscValidPointer(indices,2);
3294   ierr = PetscUseMethod(mat,"MatSeqAIJSetColumnIndices_C",(Mat,PetscInt*),(mat,indices));CHKERRQ(ierr);
3295   PetscFunctionReturn(0);
3296 }
3297 
3298 /* ----------------------------------------------------------------------------------------*/
3299 
3300 PetscErrorCode  MatStoreValues_SeqAIJ(Mat mat)
3301 {
3302   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3303   PetscErrorCode ierr;
3304   size_t         nz = aij->i[mat->rmap->n];
3305 
3306   PetscFunctionBegin;
3307   if (!aij->nonew) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3308 
3309   /* allocate space for values if not already there */
3310   if (!aij->saved_values) {
3311     ierr = PetscMalloc1(nz+1,&aij->saved_values);CHKERRQ(ierr);
3312     ierr = PetscLogObjectMemory((PetscObject)mat,(nz+1)*sizeof(PetscScalar));CHKERRQ(ierr);
3313   }
3314 
3315   /* copy values over */
3316   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3317   PetscFunctionReturn(0);
3318 }
3319 
3320 /*@
3321     MatStoreValues - Stashes a copy of the matrix values; this allows, for
3322        example, reuse of the linear part of a Jacobian, while recomputing the
3323        nonlinear portion.
3324 
3325    Collect on Mat
3326 
3327   Input Parameters:
3328 .  mat - the matrix (currently only AIJ matrices support this option)
3329 
3330   Level: advanced
3331 
3332   Common Usage, with SNESSolve():
3333 $    Create Jacobian matrix
3334 $    Set linear terms into matrix
3335 $    Apply boundary conditions to matrix, at this time matrix must have
3336 $      final nonzero structure (i.e. setting the nonlinear terms and applying
3337 $      boundary conditions again will not change the nonzero structure
3338 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3339 $    ierr = MatStoreValues(mat);
3340 $    Call SNESSetJacobian() with matrix
3341 $    In your Jacobian routine
3342 $      ierr = MatRetrieveValues(mat);
3343 $      Set nonlinear terms in matrix
3344 
3345   Common Usage without SNESSolve(), i.e. when you handle nonlinear solve yourself:
3346 $    // build linear portion of Jacobian
3347 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3348 $    ierr = MatStoreValues(mat);
3349 $    loop over nonlinear iterations
3350 $       ierr = MatRetrieveValues(mat);
3351 $       // call MatSetValues(mat,...) to set nonliner portion of Jacobian
3352 $       // call MatAssemblyBegin/End() on matrix
3353 $       Solve linear system with Jacobian
3354 $    endloop
3355 
3356   Notes:
3357     Matrix must already be assemblied before calling this routine
3358     Must set the matrix option MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE); before
3359     calling this routine.
3360 
3361     When this is called multiple times it overwrites the previous set of stored values
3362     and does not allocated additional space.
3363 
3364 .seealso: MatRetrieveValues()
3365 
3366 @*/
3367 PetscErrorCode  MatStoreValues(Mat mat)
3368 {
3369   PetscErrorCode ierr;
3370 
3371   PetscFunctionBegin;
3372   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3373   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3374   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3375   ierr = PetscUseMethod(mat,"MatStoreValues_C",(Mat),(mat));CHKERRQ(ierr);
3376   PetscFunctionReturn(0);
3377 }
3378 
3379 PetscErrorCode  MatRetrieveValues_SeqAIJ(Mat mat)
3380 {
3381   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3382   PetscErrorCode ierr;
3383   PetscInt       nz = aij->i[mat->rmap->n];
3384 
3385   PetscFunctionBegin;
3386   if (!aij->nonew) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3387   if (!aij->saved_values) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
3388   /* copy values over */
3389   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3390   PetscFunctionReturn(0);
3391 }
3392 
3393 /*@
3394     MatRetrieveValues - Retrieves the copy of the matrix values; this allows, for
3395        example, reuse of the linear part of a Jacobian, while recomputing the
3396        nonlinear portion.
3397 
3398    Collect on Mat
3399 
3400   Input Parameters:
3401 .  mat - the matrix (currently only AIJ matrices support this option)
3402 
3403   Level: advanced
3404 
3405 .seealso: MatStoreValues()
3406 
3407 @*/
3408 PetscErrorCode  MatRetrieveValues(Mat mat)
3409 {
3410   PetscErrorCode ierr;
3411 
3412   PetscFunctionBegin;
3413   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3414   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3415   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3416   ierr = PetscUseMethod(mat,"MatRetrieveValues_C",(Mat),(mat));CHKERRQ(ierr);
3417   PetscFunctionReturn(0);
3418 }
3419 
3420 
3421 /* --------------------------------------------------------------------------------*/
3422 /*@C
3423    MatCreateSeqAIJ - Creates a sparse matrix in AIJ (compressed row) format
3424    (the default parallel PETSc format).  For good matrix assembly performance
3425    the user should preallocate the matrix storage by setting the parameter nz
3426    (or the array nnz).  By setting these parameters accurately, performance
3427    during matrix assembly can be increased by more than a factor of 50.
3428 
3429    Collective on MPI_Comm
3430 
3431    Input Parameters:
3432 +  comm - MPI communicator, set to PETSC_COMM_SELF
3433 .  m - number of rows
3434 .  n - number of columns
3435 .  nz - number of nonzeros per row (same for all rows)
3436 -  nnz - array containing the number of nonzeros in the various rows
3437          (possibly different for each row) or NULL
3438 
3439    Output Parameter:
3440 .  A - the matrix
3441 
3442    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3443    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3444    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3445 
3446    Notes:
3447    If nnz is given then nz is ignored
3448 
3449    The AIJ format (also called the Yale sparse matrix format or
3450    compressed row storage), is fully compatible with standard Fortran 77
3451    storage.  That is, the stored row and column indices can begin at
3452    either one (as in Fortran) or zero.  See the users' manual for details.
3453 
3454    Specify the preallocated storage with either nz or nnz (not both).
3455    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3456    allocation.  For large problems you MUST preallocate memory or you
3457    will get TERRIBLE performance, see the users' manual chapter on matrices.
3458 
3459    By default, this format uses inodes (identical nodes) when possible, to
3460    improve numerical efficiency of matrix-vector products and solves. We
3461    search for consecutive rows with the same nonzero structure, thereby
3462    reusing matrix information to achieve increased efficiency.
3463 
3464    Options Database Keys:
3465 +  -mat_no_inode  - Do not use inodes
3466 -  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3467 
3468    Level: intermediate
3469 
3470 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays()
3471 
3472 @*/
3473 PetscErrorCode  MatCreateSeqAIJ(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
3474 {
3475   PetscErrorCode ierr;
3476 
3477   PetscFunctionBegin;
3478   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3479   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
3480   ierr = MatSetType(*A,MATSEQAIJ);CHKERRQ(ierr);
3481   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*A,nz,nnz);CHKERRQ(ierr);
3482   PetscFunctionReturn(0);
3483 }
3484 
3485 /*@C
3486    MatSeqAIJSetPreallocation - For good matrix assembly performance
3487    the user should preallocate the matrix storage by setting the parameter nz
3488    (or the array nnz).  By setting these parameters accurately, performance
3489    during matrix assembly can be increased by more than a factor of 50.
3490 
3491    Collective on MPI_Comm
3492 
3493    Input Parameters:
3494 +  B - The matrix
3495 .  nz - number of nonzeros per row (same for all rows)
3496 -  nnz - array containing the number of nonzeros in the various rows
3497          (possibly different for each row) or NULL
3498 
3499    Notes:
3500      If nnz is given then nz is ignored
3501 
3502     The AIJ format (also called the Yale sparse matrix format or
3503    compressed row storage), is fully compatible with standard Fortran 77
3504    storage.  That is, the stored row and column indices can begin at
3505    either one (as in Fortran) or zero.  See the users' manual for details.
3506 
3507    Specify the preallocated storage with either nz or nnz (not both).
3508    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3509    allocation.  For large problems you MUST preallocate memory or you
3510    will get TERRIBLE performance, see the users' manual chapter on matrices.
3511 
3512    You can call MatGetInfo() to get information on how effective the preallocation was;
3513    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3514    You can also run with the option -info and look for messages with the string
3515    malloc in them to see if additional memory allocation was needed.
3516 
3517    Developers: Use nz of MAT_SKIP_ALLOCATION to not allocate any space for the matrix
3518    entries or columns indices
3519 
3520    By default, this format uses inodes (identical nodes) when possible, to
3521    improve numerical efficiency of matrix-vector products and solves. We
3522    search for consecutive rows with the same nonzero structure, thereby
3523    reusing matrix information to achieve increased efficiency.
3524 
3525    Options Database Keys:
3526 +  -mat_no_inode  - Do not use inodes
3527 .  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3528 -  -mat_aij_oneindex - Internally use indexing starting at 1
3529         rather than 0.  Note that when calling MatSetValues(),
3530         the user still MUST index entries starting at 0!
3531 
3532    Level: intermediate
3533 
3534 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays(), MatGetInfo()
3535 
3536 @*/
3537 PetscErrorCode  MatSeqAIJSetPreallocation(Mat B,PetscInt nz,const PetscInt nnz[])
3538 {
3539   PetscErrorCode ierr;
3540 
3541   PetscFunctionBegin;
3542   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3543   PetscValidType(B,1);
3544   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocation_C",(Mat,PetscInt,const PetscInt[]),(B,nz,nnz));CHKERRQ(ierr);
3545   PetscFunctionReturn(0);
3546 }
3547 
3548 PetscErrorCode  MatSeqAIJSetPreallocation_SeqAIJ(Mat B,PetscInt nz,const PetscInt *nnz)
3549 {
3550   Mat_SeqAIJ     *b;
3551   PetscBool      skipallocation = PETSC_FALSE,realalloc = PETSC_FALSE;
3552   PetscErrorCode ierr;
3553   PetscInt       i;
3554 
3555   PetscFunctionBegin;
3556   if (nz >= 0 || nnz) realalloc = PETSC_TRUE;
3557   if (nz == MAT_SKIP_ALLOCATION) {
3558     skipallocation = PETSC_TRUE;
3559     nz             = 0;
3560   }
3561   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3562   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3563 
3564   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
3565   if (nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %D",nz);
3566   if (nnz) {
3567     for (i=0; i<B->rmap->n; i++) {
3568       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]);
3569       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);
3570     }
3571   }
3572 
3573   B->preallocated = PETSC_TRUE;
3574 
3575   b = (Mat_SeqAIJ*)B->data;
3576 
3577   if (!skipallocation) {
3578     if (!b->imax) {
3579       ierr = PetscMalloc2(B->rmap->n,&b->imax,B->rmap->n,&b->ilen);CHKERRQ(ierr);
3580       ierr = PetscLogObjectMemory((PetscObject)B,2*B->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
3581     }
3582     if (!nnz) {
3583       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 10;
3584       else if (nz < 0) nz = 1;
3585       for (i=0; i<B->rmap->n; i++) b->imax[i] = nz;
3586       nz = nz*B->rmap->n;
3587     } else {
3588       nz = 0;
3589       for (i=0; i<B->rmap->n; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
3590     }
3591     /* b->ilen will count nonzeros in each row so far. */
3592     for (i=0; i<B->rmap->n; i++) b->ilen[i] = 0;
3593 
3594     /* allocate the matrix space */
3595     /* FIXME: should B's old memory be unlogged? */
3596     ierr    = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
3597     if (B->structure_only) {
3598       ierr    = PetscMalloc1(nz,&b->j);CHKERRQ(ierr);
3599       ierr    = PetscMalloc1(B->rmap->n+1,&b->i);CHKERRQ(ierr);
3600       ierr    = PetscLogObjectMemory((PetscObject)B,(B->rmap->n+1)*sizeof(PetscInt)+nz*sizeof(PetscInt));CHKERRQ(ierr);
3601     } else {
3602       ierr    = PetscMalloc3(nz,&b->a,nz,&b->j,B->rmap->n+1,&b->i);CHKERRQ(ierr);
3603       ierr    = PetscLogObjectMemory((PetscObject)B,(B->rmap->n+1)*sizeof(PetscInt)+nz*(sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
3604     }
3605     b->i[0] = 0;
3606     for (i=1; i<B->rmap->n+1; i++) {
3607       b->i[i] = b->i[i-1] + b->imax[i-1];
3608     }
3609     if (B->structure_only) {
3610       b->singlemalloc = PETSC_FALSE;
3611       b->free_a       = PETSC_FALSE;
3612     } else {
3613       b->singlemalloc = PETSC_TRUE;
3614       b->free_a       = PETSC_TRUE;
3615     }
3616     b->free_ij      = PETSC_TRUE;
3617   } else {
3618     b->free_a  = PETSC_FALSE;
3619     b->free_ij = PETSC_FALSE;
3620   }
3621 
3622   b->nz               = 0;
3623   b->maxnz            = nz;
3624   B->info.nz_unneeded = (double)b->maxnz;
3625   if (realalloc) {
3626     ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3627   }
3628   B->was_assembled = PETSC_FALSE;
3629   B->assembled     = PETSC_FALSE;
3630   PetscFunctionReturn(0);
3631 }
3632 
3633 /*@
3634    MatSeqAIJSetPreallocationCSR - Allocates memory for a sparse sequential matrix in AIJ format.
3635 
3636    Input Parameters:
3637 +  B - the matrix
3638 .  i - the indices into j for the start of each row (starts with zero)
3639 .  j - the column indices for each row (starts with zero) these must be sorted for each row
3640 -  v - optional values in the matrix
3641 
3642    Level: developer
3643 
3644    The i,j,v values are COPIED with this routine; to avoid the copy use MatCreateSeqAIJWithArrays()
3645 
3646 .keywords: matrix, aij, compressed row, sparse, sequential
3647 
3648 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatSeqAIJSetPreallocation(), MatCreateSeqAIJ(), SeqAIJ
3649 @*/
3650 PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat B,const PetscInt i[],const PetscInt j[],const PetscScalar v[])
3651 {
3652   PetscErrorCode ierr;
3653 
3654   PetscFunctionBegin;
3655   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3656   PetscValidType(B,1);
3657   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocationCSR_C",(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,i,j,v));CHKERRQ(ierr);
3658   PetscFunctionReturn(0);
3659 }
3660 
3661 PetscErrorCode  MatSeqAIJSetPreallocationCSR_SeqAIJ(Mat B,const PetscInt Ii[],const PetscInt J[],const PetscScalar v[])
3662 {
3663   PetscInt       i;
3664   PetscInt       m,n;
3665   PetscInt       nz;
3666   PetscInt       *nnz, nz_max = 0;
3667   PetscScalar    *values;
3668   PetscErrorCode ierr;
3669 
3670   PetscFunctionBegin;
3671   if (Ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Ii[0] must be 0 it is %D", Ii[0]);
3672 
3673   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3674   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3675 
3676   ierr = MatGetSize(B, &m, &n);CHKERRQ(ierr);
3677   ierr = PetscMalloc1(m+1, &nnz);CHKERRQ(ierr);
3678   for (i = 0; i < m; i++) {
3679     nz     = Ii[i+1]- Ii[i];
3680     nz_max = PetscMax(nz_max, nz);
3681     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Local row %D has a negative number of columns %D", i, nnz);
3682     nnz[i] = nz;
3683   }
3684   ierr = MatSeqAIJSetPreallocation(B, 0, nnz);CHKERRQ(ierr);
3685   ierr = PetscFree(nnz);CHKERRQ(ierr);
3686 
3687   if (v) {
3688     values = (PetscScalar*) v;
3689   } else {
3690     ierr = PetscCalloc1(nz_max, &values);CHKERRQ(ierr);
3691   }
3692 
3693   for (i = 0; i < m; i++) {
3694     nz   = Ii[i+1] - Ii[i];
3695     ierr = MatSetValues_SeqAIJ(B, 1, &i, nz, J+Ii[i], values + (v ? Ii[i] : 0), INSERT_VALUES);CHKERRQ(ierr);
3696   }
3697 
3698   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3699   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3700 
3701   if (!v) {
3702     ierr = PetscFree(values);CHKERRQ(ierr);
3703   }
3704   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3705   PetscFunctionReturn(0);
3706 }
3707 
3708 #include <../src/mat/impls/dense/seq/dense.h>
3709 #include <petsc/private/kernels/petscaxpy.h>
3710 
3711 /*
3712     Computes (B'*A')' since computing B*A directly is untenable
3713 
3714                n                       p                          p
3715         (              )       (              )         (                  )
3716       m (      A       )  *  n (       B      )   =   m (         C        )
3717         (              )       (              )         (                  )
3718 
3719 */
3720 PetscErrorCode MatMatMultNumeric_SeqDense_SeqAIJ(Mat A,Mat B,Mat C)
3721 {
3722   PetscErrorCode    ierr;
3723   Mat_SeqDense      *sub_a = (Mat_SeqDense*)A->data;
3724   Mat_SeqAIJ        *sub_b = (Mat_SeqAIJ*)B->data;
3725   Mat_SeqDense      *sub_c = (Mat_SeqDense*)C->data;
3726   PetscInt          i,n,m,q,p;
3727   const PetscInt    *ii,*idx;
3728   const PetscScalar *b,*a,*a_q;
3729   PetscScalar       *c,*c_q;
3730 
3731   PetscFunctionBegin;
3732   m    = A->rmap->n;
3733   n    = A->cmap->n;
3734   p    = B->cmap->n;
3735   a    = sub_a->v;
3736   b    = sub_b->a;
3737   c    = sub_c->v;
3738   ierr = PetscMemzero(c,m*p*sizeof(PetscScalar));CHKERRQ(ierr);
3739 
3740   ii  = sub_b->i;
3741   idx = sub_b->j;
3742   for (i=0; i<n; i++) {
3743     q = ii[i+1] - ii[i];
3744     while (q-->0) {
3745       c_q = c + m*(*idx);
3746       a_q = a + m*i;
3747       PetscKernelAXPY(c_q,*b,a_q,m);
3748       idx++;
3749       b++;
3750     }
3751   }
3752   PetscFunctionReturn(0);
3753 }
3754 
3755 PetscErrorCode MatMatMultSymbolic_SeqDense_SeqAIJ(Mat A,Mat B,PetscReal fill,Mat *C)
3756 {
3757   PetscErrorCode ierr;
3758   PetscInt       m=A->rmap->n,n=B->cmap->n;
3759   Mat            Cmat;
3760 
3761   PetscFunctionBegin;
3762   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);
3763   ierr = MatCreate(PetscObjectComm((PetscObject)A),&Cmat);CHKERRQ(ierr);
3764   ierr = MatSetSizes(Cmat,m,n,m,n);CHKERRQ(ierr);
3765   ierr = MatSetBlockSizesFromMats(Cmat,A,B);CHKERRQ(ierr);
3766   ierr = MatSetType(Cmat,MATSEQDENSE);CHKERRQ(ierr);
3767   ierr = MatSeqDenseSetPreallocation(Cmat,NULL);CHKERRQ(ierr);
3768 
3769   Cmat->ops->matmultnumeric = MatMatMultNumeric_SeqDense_SeqAIJ;
3770 
3771   *C = Cmat;
3772   PetscFunctionReturn(0);
3773 }
3774 
3775 /* ----------------------------------------------------------------*/
3776 PETSC_INTERN PetscErrorCode MatMatMult_SeqDense_SeqAIJ(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
3777 {
3778   PetscErrorCode ierr;
3779 
3780   PetscFunctionBegin;
3781   if (scall == MAT_INITIAL_MATRIX) {
3782     ierr = PetscLogEventBegin(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
3783     ierr = MatMatMultSymbolic_SeqDense_SeqAIJ(A,B,fill,C);CHKERRQ(ierr);
3784     ierr = PetscLogEventEnd(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
3785   }
3786   ierr = PetscLogEventBegin(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
3787   ierr = MatMatMultNumeric_SeqDense_SeqAIJ(A,B,*C);CHKERRQ(ierr);
3788   ierr = PetscLogEventEnd(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
3789   PetscFunctionReturn(0);
3790 }
3791 
3792 
3793 /*MC
3794    MATSEQAIJ - MATSEQAIJ = "seqaij" - A matrix type to be used for sequential sparse matrices,
3795    based on compressed sparse row format.
3796 
3797    Options Database Keys:
3798 . -mat_type seqaij - sets the matrix type to "seqaij" during a call to MatSetFromOptions()
3799 
3800   Level: beginner
3801 
3802 .seealso: MatCreateSeqAIJ(), MatSetFromOptions(), MatSetType(), MatCreate(), MatType
3803 M*/
3804 
3805 /*MC
3806    MATAIJ - MATAIJ = "aij" - A matrix type to be used for sparse matrices.
3807 
3808    This matrix type is identical to MATSEQAIJ when constructed with a single process communicator,
3809    and MATMPIAIJ otherwise.  As a result, for single process communicators,
3810   MatSeqAIJSetPreallocation is supported, and similarly MatMPIAIJSetPreallocation is supported
3811   for communicators controlling multiple processes.  It is recommended that you call both of
3812   the above preallocation routines for simplicity.
3813 
3814    Options Database Keys:
3815 . -mat_type aij - sets the matrix type to "aij" during a call to MatSetFromOptions()
3816 
3817   Developer Notes: Subclasses include MATAIJCUSP, MATAIJPERM, MATAIJCRL, and also automatically switches over to use inodes when
3818    enough exist.
3819 
3820   Level: beginner
3821 
3822 .seealso: MatCreateAIJ(), MatCreateSeqAIJ(), MATSEQAIJ,MATMPIAIJ
3823 M*/
3824 
3825 /*MC
3826    MATAIJCRL - MATAIJCRL = "aijcrl" - A matrix type to be used for sparse matrices.
3827 
3828    This matrix type is identical to MATSEQAIJCRL when constructed with a single process communicator,
3829    and MATMPIAIJCRL otherwise.  As a result, for single process communicators,
3830    MatSeqAIJSetPreallocation() is supported, and similarly MatMPIAIJSetPreallocation() is supported
3831   for communicators controlling multiple processes.  It is recommended that you call both of
3832   the above preallocation routines for simplicity.
3833 
3834    Options Database Keys:
3835 . -mat_type aijcrl - sets the matrix type to "aijcrl" during a call to MatSetFromOptions()
3836 
3837   Level: beginner
3838 
3839 .seealso: MatCreateMPIAIJCRL,MATSEQAIJCRL,MATMPIAIJCRL, MATSEQAIJCRL, MATMPIAIJCRL
3840 M*/
3841 
3842 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJCRL(Mat,MatType,MatReuse,Mat*);
3843 #if defined(PETSC_HAVE_ELEMENTAL)
3844 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_Elemental(Mat,MatType,MatReuse,Mat*);
3845 #endif
3846 #if defined(PETSC_HAVE_HYPRE)
3847 PETSC_INTERN PetscErrorCode MatConvert_AIJ_HYPRE(Mat A,MatType,MatReuse,Mat*);
3848 PETSC_INTERN PetscErrorCode MatMatMatMult_Transpose_AIJ_AIJ(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
3849 #endif
3850 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqDense(Mat,MatType,MatReuse,Mat*);
3851 
3852 #if defined(PETSC_HAVE_MATLAB_ENGINE)
3853 PETSC_EXTERN PetscErrorCode  MatlabEnginePut_SeqAIJ(PetscObject,void*);
3854 PETSC_EXTERN PetscErrorCode  MatlabEngineGet_SeqAIJ(PetscObject,void*);
3855 #endif
3856 
3857 
3858 /*@C
3859    MatSeqAIJGetArray - gives access to the array where the data for a MATSEQAIJ matrix is stored
3860 
3861    Not Collective
3862 
3863    Input Parameter:
3864 .  mat - a MATSEQAIJ matrix
3865 
3866    Output Parameter:
3867 .   array - pointer to the data
3868 
3869    Level: intermediate
3870 
3871 .seealso: MatSeqAIJRestoreArray(), MatSeqAIJGetArrayF90()
3872 @*/
3873 PetscErrorCode  MatSeqAIJGetArray(Mat A,PetscScalar **array)
3874 {
3875   PetscErrorCode ierr;
3876 
3877   PetscFunctionBegin;
3878   ierr = PetscUseMethod(A,"MatSeqAIJGetArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
3879   PetscFunctionReturn(0);
3880 }
3881 
3882 /*@C
3883    MatSeqAIJGetMaxRowNonzeros - returns the maximum number of nonzeros in any row
3884 
3885    Not Collective
3886 
3887    Input Parameter:
3888 .  mat - a MATSEQAIJ matrix
3889 
3890    Output Parameter:
3891 .   nz - the maximum number of nonzeros in any row
3892 
3893    Level: intermediate
3894 
3895 .seealso: MatSeqAIJRestoreArray(), MatSeqAIJGetArrayF90()
3896 @*/
3897 PetscErrorCode  MatSeqAIJGetMaxRowNonzeros(Mat A,PetscInt *nz)
3898 {
3899   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)A->data;
3900 
3901   PetscFunctionBegin;
3902   *nz = aij->rmax;
3903   PetscFunctionReturn(0);
3904 }
3905 
3906 /*@C
3907    MatSeqAIJRestoreArray - returns access to the array where the data for a MATSEQAIJ matrix is stored obtained by MatSeqAIJGetArray()
3908 
3909    Not Collective
3910 
3911    Input Parameters:
3912 .  mat - a MATSEQAIJ matrix
3913 .  array - pointer to the data
3914 
3915    Level: intermediate
3916 
3917 .seealso: MatSeqAIJGetArray(), MatSeqAIJRestoreArrayF90()
3918 @*/
3919 PetscErrorCode  MatSeqAIJRestoreArray(Mat A,PetscScalar **array)
3920 {
3921   PetscErrorCode ierr;
3922 
3923   PetscFunctionBegin;
3924   ierr = PetscUseMethod(A,"MatSeqAIJRestoreArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
3925   PetscFunctionReturn(0);
3926 }
3927 
3928 PETSC_EXTERN PetscErrorCode MatCreate_SeqAIJ(Mat B)
3929 {
3930   Mat_SeqAIJ     *b;
3931   PetscErrorCode ierr;
3932   PetscMPIInt    size;
3933 
3934   PetscFunctionBegin;
3935   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&size);CHKERRQ(ierr);
3936   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Comm must be of size 1");
3937 
3938   ierr = PetscNewLog(B,&b);CHKERRQ(ierr);
3939 
3940   B->data = (void*)b;
3941 
3942   ierr = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
3943 
3944   b->row                = 0;
3945   b->col                = 0;
3946   b->icol               = 0;
3947   b->reallocs           = 0;
3948   b->ignorezeroentries  = PETSC_FALSE;
3949   b->roworiented        = PETSC_TRUE;
3950   b->nonew              = 0;
3951   b->diag               = 0;
3952   b->solve_work         = 0;
3953   B->spptr              = 0;
3954   b->saved_values       = 0;
3955   b->idiag              = 0;
3956   b->mdiag              = 0;
3957   b->ssor_work          = 0;
3958   b->omega              = 1.0;
3959   b->fshift             = 0.0;
3960   b->idiagvalid         = PETSC_FALSE;
3961   b->ibdiagvalid        = PETSC_FALSE;
3962   b->keepnonzeropattern = PETSC_FALSE;
3963 
3964   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
3965   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJGetArray_C",MatSeqAIJGetArray_SeqAIJ);CHKERRQ(ierr);
3966   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJRestoreArray_C",MatSeqAIJRestoreArray_SeqAIJ);CHKERRQ(ierr);
3967 
3968 #if defined(PETSC_HAVE_MATLAB_ENGINE)
3969   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEnginePut_C",MatlabEnginePut_SeqAIJ);CHKERRQ(ierr);
3970   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEngineGet_C",MatlabEngineGet_SeqAIJ);CHKERRQ(ierr);
3971 #endif
3972 
3973   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetColumnIndices_C",MatSeqAIJSetColumnIndices_SeqAIJ);CHKERRQ(ierr);
3974   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_SeqAIJ);CHKERRQ(ierr);
3975   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_SeqAIJ);CHKERRQ(ierr);
3976   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqsbaij_C",MatConvert_SeqAIJ_SeqSBAIJ);CHKERRQ(ierr);
3977   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqbaij_C",MatConvert_SeqAIJ_SeqBAIJ);CHKERRQ(ierr);
3978   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijperm_C",MatConvert_SeqAIJ_SeqAIJPERM);CHKERRQ(ierr);
3979   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijcrl_C",MatConvert_SeqAIJ_SeqAIJCRL);CHKERRQ(ierr);
3980 #if defined(PETSC_HAVE_ELEMENTAL)
3981   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_elemental_C",MatConvert_SeqAIJ_Elemental);CHKERRQ(ierr);
3982 #endif
3983 #if defined(PETSC_HAVE_HYPRE)
3984   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_hypre_C",MatConvert_AIJ_HYPRE);CHKERRQ(ierr);
3985   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMatMult_transpose_seqaij_seqaij_C",MatMatMatMult_Transpose_AIJ_AIJ);CHKERRQ(ierr);
3986 #endif
3987   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqdense_C",MatConvert_SeqAIJ_SeqDense);CHKERRQ(ierr);
3988   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
3989   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsHermitianTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
3990   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocation_C",MatSeqAIJSetPreallocation_SeqAIJ);CHKERRQ(ierr);
3991   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocationCSR_C",MatSeqAIJSetPreallocationCSR_SeqAIJ);CHKERRQ(ierr);
3992   ierr = PetscObjectComposeFunction((PetscObject)B,"MatReorderForNonzeroDiagonal_C",MatReorderForNonzeroDiagonal_SeqAIJ);CHKERRQ(ierr);
3993   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMult_seqdense_seqaij_C",MatMatMult_SeqDense_SeqAIJ);CHKERRQ(ierr);
3994   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultSymbolic_seqdense_seqaij_C",MatMatMultSymbolic_SeqDense_SeqAIJ);CHKERRQ(ierr);
3995   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultNumeric_seqdense_seqaij_C",MatMatMultNumeric_SeqDense_SeqAIJ);CHKERRQ(ierr);
3996   ierr = MatCreate_SeqAIJ_Inode(B);CHKERRQ(ierr);
3997   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
3998   ierr = MatSeqAIJSetTypeFromOptions(B);CHKERRQ(ierr);  /* this allows changing the matrix subtype to say MATSEQAIJPERM */
3999   PetscFunctionReturn(0);
4000 }
4001 
4002 /*
4003     Given a matrix generated with MatGetFactor() duplicates all the information in A into B
4004 */
4005 PetscErrorCode MatDuplicateNoCreate_SeqAIJ(Mat C,Mat A,MatDuplicateOption cpvalues,PetscBool mallocmatspace)
4006 {
4007   Mat_SeqAIJ     *c,*a = (Mat_SeqAIJ*)A->data;
4008   PetscErrorCode ierr;
4009   PetscInt       i,m = A->rmap->n;
4010 
4011   PetscFunctionBegin;
4012   c = (Mat_SeqAIJ*)C->data;
4013 
4014   C->factortype = A->factortype;
4015   c->row        = 0;
4016   c->col        = 0;
4017   c->icol       = 0;
4018   c->reallocs   = 0;
4019 
4020   C->assembled = PETSC_TRUE;
4021 
4022   ierr = PetscLayoutReference(A->rmap,&C->rmap);CHKERRQ(ierr);
4023   ierr = PetscLayoutReference(A->cmap,&C->cmap);CHKERRQ(ierr);
4024 
4025   ierr = PetscMalloc2(m,&c->imax,m,&c->ilen);CHKERRQ(ierr);
4026   ierr = PetscLogObjectMemory((PetscObject)C, 2*m*sizeof(PetscInt));CHKERRQ(ierr);
4027   for (i=0; i<m; i++) {
4028     c->imax[i] = a->imax[i];
4029     c->ilen[i] = a->ilen[i];
4030   }
4031 
4032   /* allocate the matrix space */
4033   if (mallocmatspace) {
4034     ierr = PetscMalloc3(a->i[m],&c->a,a->i[m],&c->j,m+1,&c->i);CHKERRQ(ierr);
4035     ierr = PetscLogObjectMemory((PetscObject)C, a->i[m]*(sizeof(PetscScalar)+sizeof(PetscInt))+(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4036 
4037     c->singlemalloc = PETSC_TRUE;
4038 
4039     ierr = PetscMemcpy(c->i,a->i,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4040     if (m > 0) {
4041       ierr = PetscMemcpy(c->j,a->j,(a->i[m])*sizeof(PetscInt));CHKERRQ(ierr);
4042       if (cpvalues == MAT_COPY_VALUES) {
4043         ierr = PetscMemcpy(c->a,a->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4044       } else {
4045         ierr = PetscMemzero(c->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4046       }
4047     }
4048   }
4049 
4050   c->ignorezeroentries = a->ignorezeroentries;
4051   c->roworiented       = a->roworiented;
4052   c->nonew             = a->nonew;
4053   if (a->diag) {
4054     ierr = PetscMalloc1(m+1,&c->diag);CHKERRQ(ierr);
4055     ierr = PetscLogObjectMemory((PetscObject)C,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4056     for (i=0; i<m; i++) {
4057       c->diag[i] = a->diag[i];
4058     }
4059   } else c->diag = 0;
4060 
4061   c->solve_work         = 0;
4062   c->saved_values       = 0;
4063   c->idiag              = 0;
4064   c->ssor_work          = 0;
4065   c->keepnonzeropattern = a->keepnonzeropattern;
4066   c->free_a             = PETSC_TRUE;
4067   c->free_ij            = PETSC_TRUE;
4068 
4069   c->rmax         = a->rmax;
4070   c->nz           = a->nz;
4071   c->maxnz        = a->nz;       /* Since we allocate exactly the right amount */
4072   C->preallocated = PETSC_TRUE;
4073 
4074   c->compressedrow.use   = a->compressedrow.use;
4075   c->compressedrow.nrows = a->compressedrow.nrows;
4076   if (a->compressedrow.use) {
4077     i    = a->compressedrow.nrows;
4078     ierr = PetscMalloc2(i+1,&c->compressedrow.i,i,&c->compressedrow.rindex);CHKERRQ(ierr);
4079     ierr = PetscMemcpy(c->compressedrow.i,a->compressedrow.i,(i+1)*sizeof(PetscInt));CHKERRQ(ierr);
4080     ierr = PetscMemcpy(c->compressedrow.rindex,a->compressedrow.rindex,i*sizeof(PetscInt));CHKERRQ(ierr);
4081   } else {
4082     c->compressedrow.use    = PETSC_FALSE;
4083     c->compressedrow.i      = NULL;
4084     c->compressedrow.rindex = NULL;
4085   }
4086   c->nonzerorowcnt = a->nonzerorowcnt;
4087   C->nonzerostate  = A->nonzerostate;
4088 
4089   ierr = MatDuplicate_SeqAIJ_Inode(A,cpvalues,&C);CHKERRQ(ierr);
4090   ierr = PetscFunctionListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
4091   PetscFunctionReturn(0);
4092 }
4093 
4094 PetscErrorCode MatDuplicate_SeqAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
4095 {
4096   PetscErrorCode ierr;
4097 
4098   PetscFunctionBegin;
4099   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
4100   ierr = MatSetSizes(*B,A->rmap->n,A->cmap->n,A->rmap->n,A->cmap->n);CHKERRQ(ierr);
4101   if (!(A->rmap->n % A->rmap->bs) && !(A->cmap->n % A->cmap->bs)) {
4102     ierr = MatSetBlockSizesFromMats(*B,A,A);CHKERRQ(ierr);
4103   }
4104   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
4105   ierr = MatDuplicateNoCreate_SeqAIJ(*B,A,cpvalues,PETSC_TRUE);CHKERRQ(ierr);
4106   PetscFunctionReturn(0);
4107 }
4108 
4109 PetscErrorCode MatLoad_SeqAIJ(Mat newMat, PetscViewer viewer)
4110 {
4111   Mat_SeqAIJ     *a;
4112   PetscErrorCode ierr;
4113   PetscInt       i,sum,nz,header[4],*rowlengths = 0,M,N,rows,cols;
4114   int            fd;
4115   PetscMPIInt    size;
4116   MPI_Comm       comm;
4117   PetscInt       bs = newMat->rmap->bs;
4118 
4119   PetscFunctionBegin;
4120   /* force binary viewer to load .info file if it has not yet done so */
4121   ierr = PetscViewerSetUp(viewer);CHKERRQ(ierr);
4122   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
4123   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4124   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"view must have one processor");
4125 
4126   ierr = PetscOptionsBegin(comm,NULL,"Options for loading SEQAIJ matrix","Mat");CHKERRQ(ierr);
4127   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
4128   ierr = PetscOptionsEnd();CHKERRQ(ierr);
4129   if (bs < 0) bs = 1;
4130   ierr = MatSetBlockSize(newMat,bs);CHKERRQ(ierr);
4131 
4132   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
4133   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
4134   if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object in file");
4135   M = header[1]; N = header[2]; nz = header[3];
4136 
4137   if (nz < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk,cannot load as SeqAIJ");
4138 
4139   /* read in row lengths */
4140   ierr = PetscMalloc1(M,&rowlengths);CHKERRQ(ierr);
4141   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
4142 
4143   /* check if sum of rowlengths is same as nz */
4144   for (i=0,sum=0; i< M; i++) sum +=rowlengths[i];
4145   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);
4146 
4147   /* set global size if not set already*/
4148   if (newMat->rmap->n < 0 && newMat->rmap->N < 0 && newMat->cmap->n < 0 && newMat->cmap->N < 0) {
4149     ierr = MatSetSizes(newMat,PETSC_DECIDE,PETSC_DECIDE,M,N);CHKERRQ(ierr);
4150   } else {
4151     /* if sizes and type are already set, check if the matrix  global sizes are correct */
4152     ierr = MatGetSize(newMat,&rows,&cols);CHKERRQ(ierr);
4153     if (rows < 0 && cols < 0) { /* user might provide local size instead of global size */
4154       ierr = MatGetLocalSize(newMat,&rows,&cols);CHKERRQ(ierr);
4155     }
4156     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);
4157   }
4158   ierr = MatSeqAIJSetPreallocation_SeqAIJ(newMat,0,rowlengths);CHKERRQ(ierr);
4159   a    = (Mat_SeqAIJ*)newMat->data;
4160 
4161   ierr = PetscBinaryRead(fd,a->j,nz,PETSC_INT);CHKERRQ(ierr);
4162 
4163   /* read in nonzero values */
4164   ierr = PetscBinaryRead(fd,a->a,nz,PETSC_SCALAR);CHKERRQ(ierr);
4165 
4166   /* set matrix "i" values */
4167   a->i[0] = 0;
4168   for (i=1; i<= M; i++) {
4169     a->i[i]      = a->i[i-1] + rowlengths[i-1];
4170     a->ilen[i-1] = rowlengths[i-1];
4171   }
4172   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
4173 
4174   ierr = MatAssemblyBegin(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4175   ierr = MatAssemblyEnd(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4176   PetscFunctionReturn(0);
4177 }
4178 
4179 PetscErrorCode MatEqual_SeqAIJ(Mat A,Mat B,PetscBool * flg)
4180 {
4181   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*b = (Mat_SeqAIJ*)B->data;
4182   PetscErrorCode ierr;
4183 #if defined(PETSC_USE_COMPLEX)
4184   PetscInt k;
4185 #endif
4186 
4187   PetscFunctionBegin;
4188   /* If the  matrix dimensions are not equal,or no of nonzeros */
4189   if ((A->rmap->n != B->rmap->n) || (A->cmap->n != B->cmap->n) ||(a->nz != b->nz)) {
4190     *flg = PETSC_FALSE;
4191     PetscFunctionReturn(0);
4192   }
4193 
4194   /* if the a->i are the same */
4195   ierr = PetscMemcmp(a->i,b->i,(A->rmap->n+1)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4196   if (!*flg) PetscFunctionReturn(0);
4197 
4198   /* if a->j are the same */
4199   ierr = PetscMemcmp(a->j,b->j,(a->nz)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4200   if (!*flg) PetscFunctionReturn(0);
4201 
4202   /* if a->a are the same */
4203 #if defined(PETSC_USE_COMPLEX)
4204   for (k=0; k<a->nz; k++) {
4205     if (PetscRealPart(a->a[k]) != PetscRealPart(b->a[k]) || PetscImaginaryPart(a->a[k]) != PetscImaginaryPart(b->a[k])) {
4206       *flg = PETSC_FALSE;
4207       PetscFunctionReturn(0);
4208     }
4209   }
4210 #else
4211   ierr = PetscMemcmp(a->a,b->a,(a->nz)*sizeof(PetscScalar),flg);CHKERRQ(ierr);
4212 #endif
4213   PetscFunctionReturn(0);
4214 }
4215 
4216 /*@
4217      MatCreateSeqAIJWithArrays - Creates an sequential AIJ matrix using matrix elements (in CSR format)
4218               provided by the user.
4219 
4220       Collective on MPI_Comm
4221 
4222    Input Parameters:
4223 +   comm - must be an MPI communicator of size 1
4224 .   m - number of rows
4225 .   n - number of columns
4226 .   i - row indices
4227 .   j - column indices
4228 -   a - matrix values
4229 
4230    Output Parameter:
4231 .   mat - the matrix
4232 
4233    Level: intermediate
4234 
4235    Notes:
4236        The i, j, and a arrays are not copied by this routine, the user must free these arrays
4237     once the matrix is destroyed and not before
4238 
4239        You cannot set new nonzero locations into this matrix, that will generate an error.
4240 
4241        The i and j indices are 0 based
4242 
4243        The format which is used for the sparse matrix input, is equivalent to a
4244     row-major ordering.. i.e for the following matrix, the input data expected is
4245     as shown
4246 
4247 $        1 0 0
4248 $        2 0 3
4249 $        4 5 6
4250 $
4251 $        i =  {0,1,3,6}  [size = nrow+1  = 3+1]
4252 $        j =  {0,0,2,0,1,2}  [size = 6]; values must be sorted for each row
4253 $        v =  {1,2,3,4,5,6}  [size = 6]
4254 
4255 
4256 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateMPIAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4257 
4258 @*/
4259 PetscErrorCode  MatCreateSeqAIJWithArrays(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt i[],PetscInt j[],PetscScalar a[],Mat *mat)
4260 {
4261   PetscErrorCode ierr;
4262   PetscInt       ii;
4263   Mat_SeqAIJ     *aij;
4264 #if defined(PETSC_USE_DEBUG)
4265   PetscInt jj;
4266 #endif
4267 
4268   PetscFunctionBegin;
4269   if (m > 0 && i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
4270   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4271   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4272   /* ierr = MatSetBlockSizes(*mat,,);CHKERRQ(ierr); */
4273   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4274   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
4275   aij  = (Mat_SeqAIJ*)(*mat)->data;
4276   ierr = PetscMalloc2(m,&aij->imax,m,&aij->ilen);CHKERRQ(ierr);
4277 
4278   aij->i            = i;
4279   aij->j            = j;
4280   aij->a            = a;
4281   aij->singlemalloc = PETSC_FALSE;
4282   aij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
4283   aij->free_a       = PETSC_FALSE;
4284   aij->free_ij      = PETSC_FALSE;
4285 
4286   for (ii=0; ii<m; ii++) {
4287     aij->ilen[ii] = aij->imax[ii] = i[ii+1] - i[ii];
4288 #if defined(PETSC_USE_DEBUG)
4289     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]);
4290     for (jj=i[ii]+1; jj<i[ii+1]; jj++) {
4291       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);
4292       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);
4293     }
4294 #endif
4295   }
4296 #if defined(PETSC_USE_DEBUG)
4297   for (ii=0; ii<aij->i[m]; ii++) {
4298     if (j[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %D index = %D",ii,j[ii]);
4299     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]);
4300   }
4301 #endif
4302 
4303   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4304   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4305   PetscFunctionReturn(0);
4306 }
4307 /*@C
4308      MatCreateSeqAIJFromTriple - Creates an sequential AIJ matrix using matrix elements (in COO format)
4309               provided by the user.
4310 
4311       Collective on MPI_Comm
4312 
4313    Input Parameters:
4314 +   comm - must be an MPI communicator of size 1
4315 .   m   - number of rows
4316 .   n   - number of columns
4317 .   i   - row indices
4318 .   j   - column indices
4319 .   a   - matrix values
4320 .   nz  - number of nonzeros
4321 -   idx - 0 or 1 based
4322 
4323    Output Parameter:
4324 .   mat - the matrix
4325 
4326    Level: intermediate
4327 
4328    Notes:
4329        The i and j indices are 0 based
4330 
4331        The format which is used for the sparse matrix input, is equivalent to a
4332     row-major ordering.. i.e for the following matrix, the input data expected is
4333     as shown:
4334 
4335         1 0 0
4336         2 0 3
4337         4 5 6
4338 
4339         i =  {0,1,1,2,2,2}
4340         j =  {0,0,2,0,1,2}
4341         v =  {1,2,3,4,5,6}
4342 
4343 
4344 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateSeqAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4345 
4346 @*/
4347 PetscErrorCode  MatCreateSeqAIJFromTriple(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt i[],PetscInt j[],PetscScalar a[],Mat *mat,PetscInt nz,PetscBool idx)
4348 {
4349   PetscErrorCode ierr;
4350   PetscInt       ii, *nnz, one = 1,row,col;
4351 
4352 
4353   PetscFunctionBegin;
4354   ierr = PetscCalloc1(m,&nnz);CHKERRQ(ierr);
4355   for (ii = 0; ii < nz; ii++) {
4356     nnz[i[ii] - !!idx] += 1;
4357   }
4358   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4359   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4360   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4361   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,0,nnz);CHKERRQ(ierr);
4362   for (ii = 0; ii < nz; ii++) {
4363     if (idx) {
4364       row = i[ii] - 1;
4365       col = j[ii] - 1;
4366     } else {
4367       row = i[ii];
4368       col = j[ii];
4369     }
4370     ierr = MatSetValues(*mat,one,&row,one,&col,&a[ii],ADD_VALUES);CHKERRQ(ierr);
4371   }
4372   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4373   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4374   ierr = PetscFree(nnz);CHKERRQ(ierr);
4375   PetscFunctionReturn(0);
4376 }
4377 
4378 PetscErrorCode MatSeqAIJInvalidateDiagonal(Mat A)
4379 {
4380   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data;
4381   PetscErrorCode ierr;
4382 
4383   PetscFunctionBegin;
4384   a->idiagvalid  = PETSC_FALSE;
4385   a->ibdiagvalid = PETSC_FALSE;
4386 
4387   ierr = MatSeqAIJInvalidateDiagonal_Inode(A);CHKERRQ(ierr);
4388   PetscFunctionReturn(0);
4389 }
4390 
4391 PetscErrorCode MatCreateMPIMatConcatenateSeqMat_SeqAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
4392 {
4393   PetscErrorCode ierr;
4394   PetscMPIInt    size;
4395 
4396   PetscFunctionBegin;
4397   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4398   if (size == 1 && scall == MAT_REUSE_MATRIX) {
4399     ierr = MatCopy(inmat,*outmat,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
4400   } else {
4401     ierr = MatCreateMPIMatConcatenateSeqMat_MPIAIJ(comm,inmat,n,scall,outmat);CHKERRQ(ierr);
4402   }
4403   PetscFunctionReturn(0);
4404 }
4405 
4406 /*
4407  Permute A into C's *local* index space using rowemb,colemb.
4408  The embedding are supposed to be injections and the above implies that the range of rowemb is a subset
4409  of [0,m), colemb is in [0,n).
4410  If pattern == DIFFERENT_NONZERO_PATTERN, C is preallocated according to A.
4411  */
4412 PetscErrorCode MatSetSeqMat_SeqAIJ(Mat C,IS rowemb,IS colemb,MatStructure pattern,Mat B)
4413 {
4414   /* If making this function public, change the error returned in this function away from _PLIB. */
4415   PetscErrorCode ierr;
4416   Mat_SeqAIJ     *Baij;
4417   PetscBool      seqaij;
4418   PetscInt       m,n,*nz,i,j,count;
4419   PetscScalar    v;
4420   const PetscInt *rowindices,*colindices;
4421 
4422   PetscFunctionBegin;
4423   if (!B) PetscFunctionReturn(0);
4424   /* Check to make sure the target matrix (and embeddings) are compatible with C and each other. */
4425   ierr = PetscObjectBaseTypeCompare((PetscObject)B,MATSEQAIJ,&seqaij);CHKERRQ(ierr);
4426   if (!seqaij) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is of wrong type");
4427   if (rowemb) {
4428     ierr = ISGetLocalSize(rowemb,&m);CHKERRQ(ierr);
4429     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);
4430   } else {
4431     if (C->rmap->n != B->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is row-incompatible with the target matrix");
4432   }
4433   if (colemb) {
4434     ierr = ISGetLocalSize(colemb,&n);CHKERRQ(ierr);
4435     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);
4436   } else {
4437     if (C->cmap->n != B->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is col-incompatible with the target matrix");
4438   }
4439 
4440   Baij = (Mat_SeqAIJ*)(B->data);
4441   if (pattern == DIFFERENT_NONZERO_PATTERN) {
4442     ierr = PetscMalloc1(B->rmap->n,&nz);CHKERRQ(ierr);
4443     for (i=0; i<B->rmap->n; i++) {
4444       nz[i] = Baij->i[i+1] - Baij->i[i];
4445     }
4446     ierr = MatSeqAIJSetPreallocation(C,0,nz);CHKERRQ(ierr);
4447     ierr = PetscFree(nz);CHKERRQ(ierr);
4448   }
4449   if (pattern == SUBSET_NONZERO_PATTERN) {
4450     ierr = MatZeroEntries(C);CHKERRQ(ierr);
4451   }
4452   count = 0;
4453   rowindices = NULL;
4454   colindices = NULL;
4455   if (rowemb) {
4456     ierr = ISGetIndices(rowemb,&rowindices);CHKERRQ(ierr);
4457   }
4458   if (colemb) {
4459     ierr = ISGetIndices(colemb,&colindices);CHKERRQ(ierr);
4460   }
4461   for (i=0; i<B->rmap->n; i++) {
4462     PetscInt row;
4463     row = i;
4464     if (rowindices) row = rowindices[i];
4465     for (j=Baij->i[i]; j<Baij->i[i+1]; j++) {
4466       PetscInt col;
4467       col  = Baij->j[count];
4468       if (colindices) col = colindices[col];
4469       v    = Baij->a[count];
4470       ierr = MatSetValues(C,1,&row,1,&col,&v,INSERT_VALUES);CHKERRQ(ierr);
4471       ++count;
4472     }
4473   }
4474   /* FIXME: set C's nonzerostate correctly. */
4475   /* Assembly for C is necessary. */
4476   C->preallocated = PETSC_TRUE;
4477   C->assembled     = PETSC_TRUE;
4478   C->was_assembled = PETSC_FALSE;
4479   PetscFunctionReturn(0);
4480 }
4481 
4482 PetscFunctionList MatSeqAIJList = NULL;
4483 
4484 /*@C
4485    MatSeqAIJSetType - Converts a MATSEQAIJ matrix to a subtype
4486 
4487    Collective on Mat
4488 
4489    Input Parameters:
4490 +  mat      - the matrix object
4491 -  matype   - matrix type
4492 
4493    Options Database Key:
4494 .  -mat_seqai_type  <method> - for example seqaijcrl
4495 
4496 
4497   Level: intermediate
4498 
4499 .keywords: Mat, MatType, set, method
4500 
4501 .seealso: PCSetType(), VecSetType(), MatCreate(), MatType, Mat
4502 @*/
4503 PetscErrorCode  MatSeqAIJSetType(Mat mat, MatType matype)
4504 {
4505   PetscErrorCode ierr,(*r)(Mat,const MatType,MatReuse,Mat*);
4506   PetscBool      sametype;
4507 
4508   PetscFunctionBegin;
4509   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
4510   ierr = PetscObjectTypeCompare((PetscObject)mat,matype,&sametype);CHKERRQ(ierr);
4511   if (sametype) PetscFunctionReturn(0);
4512 
4513   ierr =  PetscFunctionListFind(MatSeqAIJList,matype,&r);CHKERRQ(ierr);
4514   if (!r) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_UNKNOWN_TYPE,"Unknown Mat type given: %s",matype);
4515   ierr = (*r)(mat,matype,MAT_INPLACE_MATRIX,&mat);CHKERRQ(ierr);
4516   PetscFunctionReturn(0);
4517 }
4518 
4519 
4520 /*@C
4521   MatSeqAIJRegister -  - Adds a new sub-matrix type for sequential AIJ matrices
4522 
4523    Not Collective
4524 
4525    Input Parameters:
4526 +  name - name of a new user-defined matrix type, for example MATSEQAIJCRL
4527 -  function - routine to convert to subtype
4528 
4529    Notes:
4530    MatSeqAIJRegister() may be called multiple times to add several user-defined solvers.
4531 
4532 
4533    Then, your matrix can be chosen with the procedural interface at runtime via the option
4534 $     -mat_seqaij_type my_mat
4535 
4536    Level: advanced
4537 
4538 .keywords: Mat, register
4539 
4540 .seealso: MatSeqAIJRegisterAll()
4541 
4542 
4543   Level: advanced
4544 @*/
4545 PetscErrorCode  MatSeqAIJRegister(const char sname[],PetscErrorCode (*function)(Mat,const MatType,MatReuse,Mat *))
4546 {
4547   PetscErrorCode ierr;
4548 
4549   PetscFunctionBegin;
4550   ierr = PetscFunctionListAdd(&MatSeqAIJList,sname,function);CHKERRQ(ierr);
4551   PetscFunctionReturn(0);
4552 }
4553 
4554 PetscBool MatSeqAIJRegisterAllCalled = PETSC_FALSE;
4555 
4556 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJCRL(Mat,const MatType,MatReuse,Mat*);
4557 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJPERM(Mat,const MatType,MatReuse,Mat*);
4558 #if defined(PETSC_HAVE_VIENNACL) && defined(PETSC_HAVE_VIENNACL_NO_CUDA)
4559 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJViennaCL(Mat,const MatType,MatReuse,Mat*);
4560 #endif
4561 
4562 /*@C
4563   MatSeqAIJRegisterAll - Registers all of the matrix subtypes of SeqAIJ
4564 
4565   Not Collective
4566 
4567   Level: advanced
4568 
4569   Developers Note: CUSP and CUSPARSE do not yet support the  MatConvert_SeqAIJ..() paradigm and thus cannot be registered here
4570 
4571 .keywords: KSP, register, all
4572 
4573 .seealso:  MatRegisterAll(), MatSeqAIJRegister()
4574 @*/
4575 PetscErrorCode  MatSeqAIJRegisterAll(void)
4576 {
4577   PetscErrorCode ierr;
4578 
4579   PetscFunctionBegin;
4580   if (MatSeqAIJRegisterAllCalled) PetscFunctionReturn(0);
4581   MatSeqAIJRegisterAllCalled = PETSC_TRUE;
4582 
4583   ierr = MatSeqAIJRegister(MATSEQAIJCRL,      MatConvert_SeqAIJ_SeqAIJCRL);CHKERRQ(ierr);
4584   ierr = MatSeqAIJRegister(MATSEQAIJPERM,     MatConvert_SeqAIJ_SeqAIJPERM);CHKERRQ(ierr);
4585 #if defined(PETSC_HAVE_VIENNACL) && defined(PETSC_HAVE_VIENNACL_NO_CUDA)
4586   ierr = MatSeqAIJRegister(MATMPIAIJVIENNACL, MatConvert_SeqAIJ_SeqAIJViennaCL);CHKERRQ(ierr);
4587 #endif
4588   PetscFunctionReturn(0);
4589 }
4590 
4591 /*
4592     Special version for direct calls from Fortran
4593 */
4594 #include <petsc/private/fortranimpl.h>
4595 #if defined(PETSC_HAVE_FORTRAN_CAPS)
4596 #define matsetvaluesseqaij_ MATSETVALUESSEQAIJ
4597 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
4598 #define matsetvaluesseqaij_ matsetvaluesseqaij
4599 #endif
4600 
4601 /* Change these macros so can be used in void function */
4602 #undef CHKERRQ
4603 #define CHKERRQ(ierr) CHKERRABORT(PetscObjectComm((PetscObject)A),ierr)
4604 #undef SETERRQ2
4605 #define SETERRQ2(comm,ierr,b,c,d) CHKERRABORT(comm,ierr)
4606 #undef SETERRQ3
4607 #define SETERRQ3(comm,ierr,b,c,d,e) CHKERRABORT(comm,ierr)
4608 
4609 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)
4610 {
4611   Mat            A  = *AA;
4612   PetscInt       m  = *mm, n = *nn;
4613   InsertMode     is = *isis;
4614   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
4615   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
4616   PetscInt       *imax,*ai,*ailen;
4617   PetscErrorCode ierr;
4618   PetscInt       *aj,nonew = a->nonew,lastcol = -1;
4619   MatScalar      *ap,value,*aa;
4620   PetscBool      ignorezeroentries = a->ignorezeroentries;
4621   PetscBool      roworiented       = a->roworiented;
4622 
4623   PetscFunctionBegin;
4624   MatCheckPreallocated(A,1);
4625   imax  = a->imax;
4626   ai    = a->i;
4627   ailen = a->ilen;
4628   aj    = a->j;
4629   aa    = a->a;
4630 
4631   for (k=0; k<m; k++) { /* loop over added rows */
4632     row = im[k];
4633     if (row < 0) continue;
4634 #if defined(PETSC_USE_DEBUG)
4635     if (row >= A->rmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Row too large");
4636 #endif
4637     rp   = aj + ai[row]; ap = aa + ai[row];
4638     rmax = imax[row]; nrow = ailen[row];
4639     low  = 0;
4640     high = nrow;
4641     for (l=0; l<n; l++) { /* loop over added columns */
4642       if (in[l] < 0) continue;
4643 #if defined(PETSC_USE_DEBUG)
4644       if (in[l] >= A->cmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Column too large");
4645 #endif
4646       col = in[l];
4647       if (roworiented) value = v[l + k*n];
4648       else value = v[k + l*m];
4649 
4650       if (value == 0.0 && ignorezeroentries && (is == ADD_VALUES)) continue;
4651 
4652       if (col <= lastcol) low = 0;
4653       else high = nrow;
4654       lastcol = col;
4655       while (high-low > 5) {
4656         t = (low+high)/2;
4657         if (rp[t] > col) high = t;
4658         else             low  = t;
4659       }
4660       for (i=low; i<high; i++) {
4661         if (rp[i] > col) break;
4662         if (rp[i] == col) {
4663           if (is == ADD_VALUES) ap[i] += value;
4664           else                  ap[i] = value;
4665           goto noinsert;
4666         }
4667       }
4668       if (value == 0.0 && ignorezeroentries) goto noinsert;
4669       if (nonew == 1) goto noinsert;
4670       if (nonew == -1) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero in the matrix");
4671       MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
4672       N = nrow++ - 1; a->nz++; high++;
4673       /* shift up all the later entries in this row */
4674       for (ii=N; ii>=i; ii--) {
4675         rp[ii+1] = rp[ii];
4676         ap[ii+1] = ap[ii];
4677       }
4678       rp[i] = col;
4679       ap[i] = value;
4680       A->nonzerostate++;
4681 noinsert:;
4682       low = i + 1;
4683     }
4684     ailen[row] = nrow;
4685   }
4686   PetscFunctionReturnVoid();
4687 }
4688 
4689