xref: /petsc/src/mat/impls/aij/seq/aij.c (revision 9c334d8fdb557fc53fd345d68cbb3545b09ccab8)
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 #undef __FUNCT__
14 #define __FUNCT__ "MatGetColumnNorms_SeqAIJ"
15 PetscErrorCode MatGetColumnNorms_SeqAIJ(Mat A,NormType type,PetscReal *norms)
16 {
17   PetscErrorCode ierr;
18   PetscInt       i,m,n;
19   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)A->data;
20 
21   PetscFunctionBegin;
22   ierr = MatGetSize(A,&m,&n);CHKERRQ(ierr);
23   ierr = PetscMemzero(norms,n*sizeof(PetscReal));CHKERRQ(ierr);
24   if (type == NORM_2) {
25     for (i=0; i<aij->i[m]; i++) {
26       norms[aij->j[i]] += PetscAbsScalar(aij->a[i]*aij->a[i]);
27     }
28   } else if (type == NORM_1) {
29     for (i=0; i<aij->i[m]; i++) {
30       norms[aij->j[i]] += PetscAbsScalar(aij->a[i]);
31     }
32   } else if (type == NORM_INFINITY) {
33     for (i=0; i<aij->i[m]; i++) {
34       norms[aij->j[i]] = PetscMax(PetscAbsScalar(aij->a[i]),norms[aij->j[i]]);
35     }
36   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Unknown NormType");
37 
38   if (type == NORM_2) {
39     for (i=0; i<n; i++) norms[i] = PetscSqrtReal(norms[i]);
40   }
41   PetscFunctionReturn(0);
42 }
43 
44 #undef __FUNCT__
45 #define __FUNCT__ "MatFindOffBlockDiagonalEntries_SeqAIJ"
46 PetscErrorCode MatFindOffBlockDiagonalEntries_SeqAIJ(Mat A,IS *is)
47 {
48   Mat_SeqAIJ      *a  = (Mat_SeqAIJ*)A->data;
49   PetscInt        i,m=A->rmap->n,cnt = 0, bs = A->rmap->bs;
50   const PetscInt  *jj = a->j,*ii = a->i;
51   PetscInt        *rows;
52   PetscErrorCode  ierr;
53 
54   PetscFunctionBegin;
55   for (i=0; i<m; i++) {
56     if ((ii[i] != ii[i+1]) && ((jj[ii[i]] < bs*(i/bs)) || (jj[ii[i+1]-1] > bs*((i+bs)/bs)-1))) {
57       cnt++;
58     }
59   }
60   ierr = PetscMalloc1(cnt,&rows);CHKERRQ(ierr);
61   cnt  = 0;
62   for (i=0; i<m; i++) {
63     if ((ii[i] != ii[i+1]) && ((jj[ii[i]] < bs*(i/bs)) || (jj[ii[i+1]-1] > bs*((i+bs)/bs)-1))) {
64       rows[cnt] = i;
65       cnt++;
66     }
67   }
68   ierr = ISCreateGeneral(PETSC_COMM_SELF,cnt,rows,PETSC_OWN_POINTER,is);CHKERRQ(ierr);
69   PetscFunctionReturn(0);
70 }
71 
72 #undef __FUNCT__
73 #define __FUNCT__ "MatFindZeroDiagonals_SeqAIJ_Private"
74 PetscErrorCode MatFindZeroDiagonals_SeqAIJ_Private(Mat A,PetscInt *nrows,PetscInt **zrows)
75 {
76   Mat_SeqAIJ      *a  = (Mat_SeqAIJ*)A->data;
77   const MatScalar *aa = a->a;
78   PetscInt        i,m=A->rmap->n,cnt = 0;
79   const PetscInt  *jj = a->j,*diag;
80   PetscInt        *rows;
81   PetscErrorCode  ierr;
82 
83   PetscFunctionBegin;
84   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
85   diag = a->diag;
86   for (i=0; i<m; i++) {
87     if ((jj[diag[i]] != i) || (aa[diag[i]] == 0.0)) {
88       cnt++;
89     }
90   }
91   ierr = PetscMalloc1(cnt,&rows);CHKERRQ(ierr);
92   cnt  = 0;
93   for (i=0; i<m; i++) {
94     if ((jj[diag[i]] != i) || (aa[diag[i]] == 0.0)) {
95       rows[cnt++] = i;
96     }
97   }
98   *nrows = cnt;
99   *zrows = rows;
100   PetscFunctionReturn(0);
101 }
102 
103 #undef __FUNCT__
104 #define __FUNCT__ "MatFindZeroDiagonals_SeqAIJ"
105 PetscErrorCode MatFindZeroDiagonals_SeqAIJ(Mat A,IS *zrows)
106 {
107   PetscInt       nrows,*rows;
108   PetscErrorCode ierr;
109 
110   PetscFunctionBegin;
111   *zrows = NULL;
112   ierr   = MatFindZeroDiagonals_SeqAIJ_Private(A,&nrows,&rows);CHKERRQ(ierr);
113   ierr   = ISCreateGeneral(PetscObjectComm((PetscObject)A),nrows,rows,PETSC_OWN_POINTER,zrows);CHKERRQ(ierr);
114   PetscFunctionReturn(0);
115 }
116 
117 #undef __FUNCT__
118 #define __FUNCT__ "MatFindNonzeroRows_SeqAIJ"
119 PetscErrorCode MatFindNonzeroRows_SeqAIJ(Mat A,IS *keptrows)
120 {
121   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
122   const MatScalar *aa;
123   PetscInt        m=A->rmap->n,cnt = 0;
124   const PetscInt  *ii;
125   PetscInt        n,i,j,*rows;
126   PetscErrorCode  ierr;
127 
128   PetscFunctionBegin;
129   *keptrows = 0;
130   ii        = a->i;
131   for (i=0; i<m; i++) {
132     n = ii[i+1] - ii[i];
133     if (!n) {
134       cnt++;
135       goto ok1;
136     }
137     aa = a->a + ii[i];
138     for (j=0; j<n; j++) {
139       if (aa[j] != 0.0) goto ok1;
140     }
141     cnt++;
142 ok1:;
143   }
144   if (!cnt) PetscFunctionReturn(0);
145   ierr = PetscMalloc1(A->rmap->n-cnt,&rows);CHKERRQ(ierr);
146   cnt  = 0;
147   for (i=0; i<m; i++) {
148     n = ii[i+1] - ii[i];
149     if (!n) continue;
150     aa = a->a + ii[i];
151     for (j=0; j<n; j++) {
152       if (aa[j] != 0.0) {
153         rows[cnt++] = i;
154         break;
155       }
156     }
157   }
158   ierr = ISCreateGeneral(PETSC_COMM_SELF,cnt,rows,PETSC_OWN_POINTER,keptrows);CHKERRQ(ierr);
159   PetscFunctionReturn(0);
160 }
161 
162 #undef __FUNCT__
163 #define __FUNCT__ "MatDiagonalSet_SeqAIJ"
164 PetscErrorCode  MatDiagonalSet_SeqAIJ(Mat Y,Vec D,InsertMode is)
165 {
166   PetscErrorCode    ierr;
167   Mat_SeqAIJ        *aij = (Mat_SeqAIJ*) Y->data;
168   PetscInt          i,m = Y->rmap->n;
169   const PetscInt    *diag;
170   MatScalar         *aa = aij->a;
171   const PetscScalar *v;
172   PetscBool         missing;
173 
174   PetscFunctionBegin;
175   if (Y->assembled) {
176     ierr = MatMissingDiagonal_SeqAIJ(Y,&missing,NULL);CHKERRQ(ierr);
177     if (!missing) {
178       diag = aij->diag;
179       ierr = VecGetArrayRead(D,&v);CHKERRQ(ierr);
180       if (is == INSERT_VALUES) {
181         for (i=0; i<m; i++) {
182           aa[diag[i]] = v[i];
183         }
184       } else {
185         for (i=0; i<m; i++) {
186           aa[diag[i]] += v[i];
187         }
188       }
189       ierr = VecRestoreArrayRead(D,&v);CHKERRQ(ierr);
190       PetscFunctionReturn(0);
191     }
192     ierr = MatSeqAIJInvalidateDiagonal(Y);CHKERRQ(ierr);
193   }
194   ierr = MatDiagonalSet_Default(Y,D,is);CHKERRQ(ierr);
195   PetscFunctionReturn(0);
196 }
197 
198 #undef __FUNCT__
199 #define __FUNCT__ "MatGetRowIJ_SeqAIJ"
200 PetscErrorCode MatGetRowIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *m,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
201 {
202   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
203   PetscErrorCode ierr;
204   PetscInt       i,ishift;
205 
206   PetscFunctionBegin;
207   *m = A->rmap->n;
208   if (!ia) PetscFunctionReturn(0);
209   ishift = 0;
210   if (symmetric && !A->structurally_symmetric) {
211     ierr = MatToSymmetricIJ_SeqAIJ(A->rmap->n,a->i,a->j,ishift,oshift,(PetscInt**)ia,(PetscInt**)ja);CHKERRQ(ierr);
212   } else if (oshift == 1) {
213     PetscInt *tia;
214     PetscInt nz = a->i[A->rmap->n];
215     /* malloc space and  add 1 to i and j indices */
216     ierr = PetscMalloc1(A->rmap->n+1,&tia);CHKERRQ(ierr);
217     for (i=0; i<A->rmap->n+1; i++) tia[i] = a->i[i] + 1;
218     *ia = tia;
219     if (ja) {
220       PetscInt *tja;
221       ierr = PetscMalloc1(nz+1,&tja);CHKERRQ(ierr);
222       for (i=0; i<nz; i++) tja[i] = a->j[i] + 1;
223       *ja = tja;
224     }
225   } else {
226     *ia = a->i;
227     if (ja) *ja = a->j;
228   }
229   PetscFunctionReturn(0);
230 }
231 
232 #undef __FUNCT__
233 #define __FUNCT__ "MatRestoreRowIJ_SeqAIJ"
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 #undef __FUNCT__
248 #define __FUNCT__ "MatGetColumnIJ_SeqAIJ"
249 PetscErrorCode MatGetColumnIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
250 {
251   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
252   PetscErrorCode ierr;
253   PetscInt       i,*collengths,*cia,*cja,n = A->cmap->n,m = A->rmap->n;
254   PetscInt       nz = a->i[m],row,*jj,mr,col;
255 
256   PetscFunctionBegin;
257   *nn = n;
258   if (!ia) PetscFunctionReturn(0);
259   if (symmetric) {
260     ierr = MatToSymmetricIJ_SeqAIJ(A->rmap->n,a->i,a->j,0,oshift,(PetscInt**)ia,(PetscInt**)ja);CHKERRQ(ierr);
261   } else {
262     ierr = PetscCalloc1(n+1,&collengths);CHKERRQ(ierr);
263     ierr = PetscMalloc1(n+1,&cia);CHKERRQ(ierr);
264     ierr = PetscMalloc1(nz+1,&cja);CHKERRQ(ierr);
265     jj   = a->j;
266     for (i=0; i<nz; i++) {
267       collengths[jj[i]]++;
268     }
269     cia[0] = oshift;
270     for (i=0; i<n; i++) {
271       cia[i+1] = cia[i] + collengths[i];
272     }
273     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
274     jj   = a->j;
275     for (row=0; row<m; row++) {
276       mr = a->i[row+1] - a->i[row];
277       for (i=0; i<mr; i++) {
278         col = *jj++;
279 
280         cja[cia[col] + collengths[col]++ - oshift] = row + oshift;
281       }
282     }
283     ierr = PetscFree(collengths);CHKERRQ(ierr);
284     *ia  = cia; *ja = cja;
285   }
286   PetscFunctionReturn(0);
287 }
288 
289 #undef __FUNCT__
290 #define __FUNCT__ "MatRestoreColumnIJ_SeqAIJ"
291 PetscErrorCode MatRestoreColumnIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
292 {
293   PetscErrorCode ierr;
294 
295   PetscFunctionBegin;
296   if (!ia) PetscFunctionReturn(0);
297 
298   ierr = PetscFree(*ia);CHKERRQ(ierr);
299   ierr = PetscFree(*ja);CHKERRQ(ierr);
300   PetscFunctionReturn(0);
301 }
302 
303 /*
304  MatGetColumnIJ_SeqAIJ_Color() and MatRestoreColumnIJ_SeqAIJ_Color() are customized from
305  MatGetColumnIJ_SeqAIJ() and MatRestoreColumnIJ_SeqAIJ() by adding an output
306  spidx[], index of a->a, to be used in MatTransposeColoringCreate_SeqAIJ() and MatFDColoringCreate_SeqXAIJ()
307 */
308 #undef __FUNCT__
309 #define __FUNCT__ "MatGetColumnIJ_SeqAIJ_Color"
310 PetscErrorCode MatGetColumnIJ_SeqAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
311 {
312   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
313   PetscErrorCode ierr;
314   PetscInt       i,*collengths,*cia,*cja,n = A->cmap->n,m = A->rmap->n;
315   PetscInt       nz = a->i[m],row,*jj,mr,col;
316   PetscInt       *cspidx;
317 
318   PetscFunctionBegin;
319   *nn = n;
320   if (!ia) PetscFunctionReturn(0);
321 
322   ierr = PetscCalloc1(n+1,&collengths);CHKERRQ(ierr);
323   ierr = PetscMalloc1(n+1,&cia);CHKERRQ(ierr);
324   ierr = PetscMalloc1(nz+1,&cja);CHKERRQ(ierr);
325   ierr = PetscMalloc1(nz+1,&cspidx);CHKERRQ(ierr);
326   jj   = a->j;
327   for (i=0; i<nz; i++) {
328     collengths[jj[i]]++;
329   }
330   cia[0] = oshift;
331   for (i=0; i<n; i++) {
332     cia[i+1] = cia[i] + collengths[i];
333   }
334   ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
335   jj   = a->j;
336   for (row=0; row<m; row++) {
337     mr = a->i[row+1] - a->i[row];
338     for (i=0; i<mr; i++) {
339       col = *jj++;
340       cspidx[cia[col] + collengths[col] - oshift] = a->i[row] + i; /* index of a->j */
341       cja[cia[col] + collengths[col]++ - oshift]  = row + oshift;
342     }
343   }
344   ierr   = PetscFree(collengths);CHKERRQ(ierr);
345   *ia    = cia; *ja = cja;
346   *spidx = cspidx;
347   PetscFunctionReturn(0);
348 }
349 
350 #undef __FUNCT__
351 #define __FUNCT__ "MatRestoreColumnIJ_SeqAIJ_Color"
352 PetscErrorCode MatRestoreColumnIJ_SeqAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
353 {
354   PetscErrorCode ierr;
355 
356   PetscFunctionBegin;
357   ierr = MatRestoreColumnIJ_SeqAIJ(A,oshift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
358   ierr = PetscFree(*spidx);CHKERRQ(ierr);
359   PetscFunctionReturn(0);
360 }
361 
362 #undef __FUNCT__
363 #define __FUNCT__ "MatSetValuesRow_SeqAIJ"
364 PetscErrorCode MatSetValuesRow_SeqAIJ(Mat A,PetscInt row,const PetscScalar v[])
365 {
366   Mat_SeqAIJ     *a  = (Mat_SeqAIJ*)A->data;
367   PetscInt       *ai = a->i;
368   PetscErrorCode ierr;
369 
370   PetscFunctionBegin;
371   ierr = PetscMemcpy(a->a+ai[row],v,(ai[row+1]-ai[row])*sizeof(PetscScalar));CHKERRQ(ierr);
372   PetscFunctionReturn(0);
373 }
374 
375 /*
376     MatSeqAIJSetValuesLocalFast - An optimized version of MatSetValuesLocal() for SeqAIJ matrices with several assumptions
377 
378       -   a single row of values is set with each call
379       -   no row or column indices are negative or (in error) larger than the number of rows or columns
380       -   the values are always added to the matrix, not set
381       -   no new locations are introduced in the nonzero structure of the matrix
382 
383      This does NOT assume the global column indices are sorted
384 
385 */
386 
387 #include <petsc/private/isimpl.h>
388 #undef __FUNCT__
389 #define __FUNCT__ "MatSeqAIJSetValuesLocalFast"
390 PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
391 {
392   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
393   PetscInt       low,high,t,row,nrow,i,col,l;
394   const PetscInt *rp,*ai = a->i,*ailen = a->ilen,*aj = a->j;
395   PetscInt       lastcol = -1;
396   MatScalar      *ap,value,*aa = a->a;
397   const PetscInt *ridx = A->rmap->mapping->indices,*cidx = A->cmap->mapping->indices;
398 
399   row = ridx[im[0]];
400   rp   = aj + ai[row];
401   ap = aa + ai[row];
402   nrow = ailen[row];
403   low  = 0;
404   high = nrow;
405   for (l=0; l<n; l++) { /* loop over added columns */
406     col = cidx[in[l]];
407     value = v[l];
408 
409     if (col <= lastcol) low = 0;
410     else high = nrow;
411     lastcol = col;
412     while (high-low > 5) {
413       t = (low+high)/2;
414       if (rp[t] > col) high = t;
415       else low = t;
416     }
417     for (i=low; i<high; i++) {
418       if (rp[i] == col) {
419         ap[i] += value;
420         low = i + 1;
421         break;
422       }
423     }
424   }
425   return 0;
426 }
427 
428 #undef __FUNCT__
429 #define __FUNCT__ "MatSetValues_SeqAIJ"
430 PetscErrorCode MatSetValues_SeqAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
431 {
432   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
433   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
434   PetscInt       *imax = a->imax,*ai = a->i,*ailen = a->ilen;
435   PetscErrorCode ierr;
436   PetscInt       *aj = a->j,nonew = a->nonew,lastcol = -1;
437   MatScalar      *ap,value,*aa = a->a;
438   PetscBool      ignorezeroentries = a->ignorezeroentries;
439   PetscBool      roworiented       = a->roworiented;
440 
441   PetscFunctionBegin;
442   for (k=0; k<m; k++) { /* loop over added rows */
443     row = im[k];
444     if (row < 0) continue;
445 #if defined(PETSC_USE_DEBUG)
446     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);
447 #endif
448     rp   = aj + ai[row]; ap = aa + ai[row];
449     rmax = imax[row]; nrow = ailen[row];
450     low  = 0;
451     high = nrow;
452     for (l=0; l<n; l++) { /* loop over added columns */
453       if (in[l] < 0) continue;
454 #if defined(PETSC_USE_DEBUG)
455       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);
456 #endif
457       col = in[l];
458       if (roworiented) {
459         value = v[l + k*n];
460       } else {
461         value = v[k + l*m];
462       }
463       if ((value == 0.0 && ignorezeroentries) && (is == ADD_VALUES)) continue;
464 
465       if (col <= lastcol) low = 0;
466       else high = nrow;
467       lastcol = col;
468       while (high-low > 5) {
469         t = (low+high)/2;
470         if (rp[t] > col) high = t;
471         else low = t;
472       }
473       for (i=low; i<high; i++) {
474         if (rp[i] > col) break;
475         if (rp[i] == col) {
476           if (is == ADD_VALUES) ap[i] += value;
477           else ap[i] = value;
478           low = i + 1;
479           goto noinsert;
480         }
481       }
482       if (value == 0.0 && ignorezeroentries) goto noinsert;
483       if (nonew == 1) goto noinsert;
484       if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero at (%D,%D) in the matrix",row,col);
485       MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
486       N = nrow++ - 1; a->nz++; high++;
487       /* shift up all the later entries in this row */
488       for (ii=N; ii>=i; ii--) {
489         rp[ii+1] = rp[ii];
490         ap[ii+1] = ap[ii];
491       }
492       rp[i] = col;
493       ap[i] = value;
494       low   = i + 1;
495       A->nonzerostate++;
496 noinsert:;
497     }
498     ailen[row] = nrow;
499   }
500   PetscFunctionReturn(0);
501 }
502 
503 
504 #undef __FUNCT__
505 #define __FUNCT__ "MatGetValues_SeqAIJ"
506 PetscErrorCode MatGetValues_SeqAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],PetscScalar v[])
507 {
508   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
509   PetscInt   *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
510   PetscInt   *ai = a->i,*ailen = a->ilen;
511   MatScalar  *ap,*aa = a->a;
512 
513   PetscFunctionBegin;
514   for (k=0; k<m; k++) { /* loop over rows */
515     row = im[k];
516     if (row < 0) {v += n; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",row); */
517     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);
518     rp   = aj + ai[row]; ap = aa + ai[row];
519     nrow = ailen[row];
520     for (l=0; l<n; l++) { /* loop over columns */
521       if (in[l] < 0) {v++; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column: %D",in[l]); */
522       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);
523       col  = in[l];
524       high = nrow; low = 0; /* assume unsorted */
525       while (high-low > 5) {
526         t = (low+high)/2;
527         if (rp[t] > col) high = t;
528         else low = t;
529       }
530       for (i=low; i<high; i++) {
531         if (rp[i] > col) break;
532         if (rp[i] == col) {
533           *v++ = ap[i];
534           goto finished;
535         }
536       }
537       *v++ = 0.0;
538 finished:;
539     }
540   }
541   PetscFunctionReturn(0);
542 }
543 
544 
545 #undef __FUNCT__
546 #define __FUNCT__ "MatView_SeqAIJ_Binary"
547 PetscErrorCode MatView_SeqAIJ_Binary(Mat A,PetscViewer viewer)
548 {
549   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
550   PetscErrorCode ierr;
551   PetscInt       i,*col_lens;
552   int            fd;
553   FILE           *file;
554 
555   PetscFunctionBegin;
556   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
557   ierr = PetscMalloc1(4+A->rmap->n,&col_lens);CHKERRQ(ierr);
558 
559   col_lens[0] = MAT_FILE_CLASSID;
560   col_lens[1] = A->rmap->n;
561   col_lens[2] = A->cmap->n;
562   col_lens[3] = a->nz;
563 
564   /* store lengths of each row and write (including header) to file */
565   for (i=0; i<A->rmap->n; i++) {
566     col_lens[4+i] = a->i[i+1] - a->i[i];
567   }
568   ierr = PetscBinaryWrite(fd,col_lens,4+A->rmap->n,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
569   ierr = PetscFree(col_lens);CHKERRQ(ierr);
570 
571   /* store column indices (zero start index) */
572   ierr = PetscBinaryWrite(fd,a->j,a->nz,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
573 
574   /* store nonzero values */
575   ierr = PetscBinaryWrite(fd,a->a,a->nz,PETSC_SCALAR,PETSC_FALSE);CHKERRQ(ierr);
576 
577   ierr = PetscViewerBinaryGetInfoPointer(viewer,&file);CHKERRQ(ierr);
578   if (file) {
579     fprintf(file,"-matload_block_size %d\n",(int)PetscAbs(A->rmap->bs));
580   }
581   PetscFunctionReturn(0);
582 }
583 
584 extern PetscErrorCode MatSeqAIJFactorInfo_Matlab(Mat,PetscViewer);
585 
586 #undef __FUNCT__
587 #define __FUNCT__ "MatView_SeqAIJ_ASCII"
588 PetscErrorCode MatView_SeqAIJ_ASCII(Mat A,PetscViewer viewer)
589 {
590   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
591   PetscErrorCode    ierr;
592   PetscInt          i,j,m = A->rmap->n;
593   const char        *name;
594   PetscViewerFormat format;
595 
596   PetscFunctionBegin;
597   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
598   if (format == PETSC_VIEWER_ASCII_MATLAB) {
599     PetscInt nofinalvalue = 0;
600     if (m && ((a->i[m] == a->i[m-1]) || (a->j[a->nz-1] != A->cmap->n-1))) {
601       /* Need a dummy value to ensure the dimension of the matrix. */
602       nofinalvalue = 1;
603     }
604     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
605     ierr = PetscViewerASCIIPrintf(viewer,"%% Size = %D %D \n",m,A->cmap->n);CHKERRQ(ierr);
606     ierr = PetscViewerASCIIPrintf(viewer,"%% Nonzeros = %D \n",a->nz);CHKERRQ(ierr);
607 #if defined(PETSC_USE_COMPLEX)
608     ierr = PetscViewerASCIIPrintf(viewer,"zzz = zeros(%D,4);\n",a->nz+nofinalvalue);CHKERRQ(ierr);
609 #else
610     ierr = PetscViewerASCIIPrintf(viewer,"zzz = zeros(%D,3);\n",a->nz+nofinalvalue);CHKERRQ(ierr);
611 #endif
612     ierr = PetscViewerASCIIPrintf(viewer,"zzz = [\n");CHKERRQ(ierr);
613 
614     for (i=0; i<m; i++) {
615       for (j=a->i[i]; j<a->i[i+1]; j++) {
616 #if defined(PETSC_USE_COMPLEX)
617         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);
618 #else
619         ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e\n",i+1,a->j[j]+1,(double)a->a[j]);CHKERRQ(ierr);
620 #endif
621       }
622     }
623     if (nofinalvalue) {
624 #if defined(PETSC_USE_COMPLEX)
625       ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e %18.16e\n",m,A->cmap->n,0.,0.);CHKERRQ(ierr);
626 #else
627       ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e\n",m,A->cmap->n,0.0);CHKERRQ(ierr);
628 #endif
629     }
630     ierr = PetscObjectGetName((PetscObject)A,&name);CHKERRQ(ierr);
631     ierr = PetscViewerASCIIPrintf(viewer,"];\n %s = spconvert(zzz);\n",name);CHKERRQ(ierr);
632     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
633   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO || format == PETSC_VIEWER_ASCII_INFO) {
634     PetscFunctionReturn(0);
635   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
636     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
637     for (i=0; i<m; i++) {
638       ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
639       for (j=a->i[i]; j<a->i[i+1]; j++) {
640 #if defined(PETSC_USE_COMPLEX)
641         if (PetscImaginaryPart(a->a[j]) > 0.0 && PetscRealPart(a->a[j]) != 0.0) {
642           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
643         } else if (PetscImaginaryPart(a->a[j]) < 0.0 && PetscRealPart(a->a[j]) != 0.0) {
644           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
645         } else if (PetscRealPart(a->a[j]) != 0.0) {
646           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
647         }
648 #else
649         if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);}
650 #endif
651       }
652       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
653     }
654     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
655   } else if (format == PETSC_VIEWER_ASCII_SYMMODU) {
656     PetscInt nzd=0,fshift=1,*sptr;
657     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
658     ierr = PetscMalloc1(m+1,&sptr);CHKERRQ(ierr);
659     for (i=0; i<m; i++) {
660       sptr[i] = nzd+1;
661       for (j=a->i[i]; j<a->i[i+1]; j++) {
662         if (a->j[j] >= i) {
663 #if defined(PETSC_USE_COMPLEX)
664           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) nzd++;
665 #else
666           if (a->a[j] != 0.0) nzd++;
667 #endif
668         }
669       }
670     }
671     sptr[m] = nzd+1;
672     ierr    = PetscViewerASCIIPrintf(viewer," %D %D\n\n",m,nzd);CHKERRQ(ierr);
673     for (i=0; i<m+1; i+=6) {
674       if (i+4<m) {
675         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);
676       } else if (i+3<m) {
677         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);
678       } else if (i+2<m) {
679         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2],sptr[i+3]);CHKERRQ(ierr);
680       } else if (i+1<m) {
681         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2]);CHKERRQ(ierr);
682       } else if (i<m) {
683         ierr = PetscViewerASCIIPrintf(viewer," %D %D\n",sptr[i],sptr[i+1]);CHKERRQ(ierr);
684       } else {
685         ierr = PetscViewerASCIIPrintf(viewer," %D\n",sptr[i]);CHKERRQ(ierr);
686       }
687     }
688     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
689     ierr = PetscFree(sptr);CHKERRQ(ierr);
690     for (i=0; i<m; i++) {
691       for (j=a->i[i]; j<a->i[i+1]; j++) {
692         if (a->j[j] >= i) {ierr = PetscViewerASCIIPrintf(viewer," %D ",a->j[j]+fshift);CHKERRQ(ierr);}
693       }
694       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
695     }
696     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
697     for (i=0; i<m; i++) {
698       for (j=a->i[i]; j<a->i[i+1]; j++) {
699         if (a->j[j] >= i) {
700 #if defined(PETSC_USE_COMPLEX)
701           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) {
702             ierr = PetscViewerASCIIPrintf(viewer," %18.16e %18.16e ",(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
703           }
704 #else
705           if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," %18.16e ",(double)a->a[j]);CHKERRQ(ierr);}
706 #endif
707         }
708       }
709       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
710     }
711     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
712   } else if (format == PETSC_VIEWER_ASCII_DENSE) {
713     PetscInt    cnt = 0,jcnt;
714     PetscScalar value;
715 #if defined(PETSC_USE_COMPLEX)
716     PetscBool   realonly = PETSC_TRUE;
717 
718     for (i=0; i<a->i[m]; i++) {
719       if (PetscImaginaryPart(a->a[i]) != 0.0) {
720         realonly = PETSC_FALSE;
721         break;
722       }
723     }
724 #endif
725 
726     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
727     for (i=0; i<m; i++) {
728       jcnt = 0;
729       for (j=0; j<A->cmap->n; j++) {
730         if (jcnt < a->i[i+1]-a->i[i] && j == a->j[cnt]) {
731           value = a->a[cnt++];
732           jcnt++;
733         } else {
734           value = 0.0;
735         }
736 #if defined(PETSC_USE_COMPLEX)
737         if (realonly) {
738           ierr = PetscViewerASCIIPrintf(viewer," %7.5e ",(double)PetscRealPart(value));CHKERRQ(ierr);
739         } else {
740           ierr = PetscViewerASCIIPrintf(viewer," %7.5e+%7.5e i ",(double)PetscRealPart(value),(double)PetscImaginaryPart(value));CHKERRQ(ierr);
741         }
742 #else
743         ierr = PetscViewerASCIIPrintf(viewer," %7.5e ",(double)value);CHKERRQ(ierr);
744 #endif
745       }
746       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
747     }
748     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
749   } else if (format == PETSC_VIEWER_ASCII_MATRIXMARKET) {
750     PetscInt fshift=1;
751     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
752 #if defined(PETSC_USE_COMPLEX)
753     ierr = PetscViewerASCIIPrintf(viewer,"%%%%MatrixMarket matrix coordinate complex general\n");CHKERRQ(ierr);
754 #else
755     ierr = PetscViewerASCIIPrintf(viewer,"%%%%MatrixMarket matrix coordinate real general\n");CHKERRQ(ierr);
756 #endif
757     ierr = PetscViewerASCIIPrintf(viewer,"%D %D %D\n", m, A->cmap->n, a->nz);CHKERRQ(ierr);
758     for (i=0; i<m; i++) {
759       for (j=a->i[i]; j<a->i[i+1]; j++) {
760 #if defined(PETSC_USE_COMPLEX)
761         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);
762 #else
763         ierr = PetscViewerASCIIPrintf(viewer,"%D %D %g\n", i+fshift, a->j[j]+fshift, (double)a->a[j]);CHKERRQ(ierr);
764 #endif
765       }
766     }
767     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
768   } else {
769     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
770     if (A->factortype) {
771       for (i=0; i<m; i++) {
772         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
773         /* L part */
774         for (j=a->i[i]; j<a->i[i+1]; j++) {
775 #if defined(PETSC_USE_COMPLEX)
776           if (PetscImaginaryPart(a->a[j]) > 0.0) {
777             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
778           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
779             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)(-PetscImaginaryPart(a->a[j])));CHKERRQ(ierr);
780           } else {
781             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
782           }
783 #else
784           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);
785 #endif
786         }
787         /* diagonal */
788         j = a->diag[i];
789 #if defined(PETSC_USE_COMPLEX)
790         if (PetscImaginaryPart(a->a[j]) > 0.0) {
791           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);
792         } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
793           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);
794         } else {
795           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(1.0/a->a[j]));CHKERRQ(ierr);
796         }
797 #else
798         ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)(1.0/a->a[j]));CHKERRQ(ierr);
799 #endif
800 
801         /* U part */
802         for (j=a->diag[i+1]+1; j<a->diag[i]; j++) {
803 #if defined(PETSC_USE_COMPLEX)
804           if (PetscImaginaryPart(a->a[j]) > 0.0) {
805             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
806           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
807             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)(-PetscImaginaryPart(a->a[j])));CHKERRQ(ierr);
808           } else {
809             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
810           }
811 #else
812           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);
813 #endif
814         }
815         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
816       }
817     } else {
818       for (i=0; i<m; i++) {
819         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
820         for (j=a->i[i]; j<a->i[i+1]; j++) {
821 #if defined(PETSC_USE_COMPLEX)
822           if (PetscImaginaryPart(a->a[j]) > 0.0) {
823             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
824           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
825             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
826           } else {
827             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
828           }
829 #else
830           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);
831 #endif
832         }
833         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
834       }
835     }
836     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
837   }
838   ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
839   PetscFunctionReturn(0);
840 }
841 
842 #include <petscdraw.h>
843 #undef __FUNCT__
844 #define __FUNCT__ "MatView_SeqAIJ_Draw_Zoom"
845 PetscErrorCode MatView_SeqAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
846 {
847   Mat               A  = (Mat) Aa;
848   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
849   PetscErrorCode    ierr;
850   PetscInt          i,j,m = A->rmap->n;
851   int               color;
852   PetscReal         xl,yl,xr,yr,x_l,x_r,y_l,y_r;
853   PetscViewer       viewer;
854   PetscViewerFormat format;
855 
856   PetscFunctionBegin;
857   ierr = PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer);CHKERRQ(ierr);
858   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
859   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
860 
861   /* loop over matrix elements drawing boxes */
862 
863   if (format != PETSC_VIEWER_DRAW_CONTOUR) {
864     ierr = PetscDrawCollectiveBegin(draw);CHKERRQ(ierr);
865     /* Blue for negative, Cyan for zero and  Red for positive */
866     color = PETSC_DRAW_BLUE;
867     for (i=0; i<m; i++) {
868       y_l = m - i - 1.0; y_r = y_l + 1.0;
869       for (j=a->i[i]; j<a->i[i+1]; j++) {
870         x_l = a->j[j]; x_r = x_l + 1.0;
871         if (PetscRealPart(a->a[j]) >=  0.) continue;
872         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
873       }
874     }
875     color = PETSC_DRAW_CYAN;
876     for (i=0; i<m; i++) {
877       y_l = m - i - 1.0; y_r = y_l + 1.0;
878       for (j=a->i[i]; j<a->i[i+1]; j++) {
879         x_l = a->j[j]; x_r = x_l + 1.0;
880         if (a->a[j] !=  0.) continue;
881         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
882       }
883     }
884     color = PETSC_DRAW_RED;
885     for (i=0; i<m; i++) {
886       y_l = m - i - 1.0; y_r = y_l + 1.0;
887       for (j=a->i[i]; j<a->i[i+1]; j++) {
888         x_l = a->j[j]; x_r = x_l + 1.0;
889         if (PetscRealPart(a->a[j]) <=  0.) continue;
890         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
891       }
892     }
893     ierr = PetscDrawCollectiveEnd(draw);CHKERRQ(ierr);
894   } else {
895     /* use contour shading to indicate magnitude of values */
896     /* first determine max of all nonzero values */
897     PetscReal minv = 0.0, maxv = 0.0;
898     PetscInt  nz = a->nz, count = 0;
899     PetscDraw popup;
900 
901     for (i=0; i<nz; i++) {
902       if (PetscAbsScalar(a->a[i]) > maxv) maxv = PetscAbsScalar(a->a[i]);
903     }
904     if (minv >= maxv) maxv = minv + PETSC_SMALL;
905     ierr = PetscDrawGetPopup(draw,&popup);CHKERRQ(ierr);
906     ierr = PetscDrawScalePopup(popup,minv,maxv);CHKERRQ(ierr);
907 
908     ierr = PetscDrawCollectiveBegin(draw);CHKERRQ(ierr);
909     for (i=0; i<m; i++) {
910       y_l = m - i - 1.0;
911       y_r = y_l + 1.0;
912       for (j=a->i[i]; j<a->i[i+1]; j++) {
913         x_l = a->j[j];
914         x_r = x_l + 1.0;
915         color = PetscDrawRealToColor(PetscAbsScalar(a->a[count]),minv,maxv);
916         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
917         count++;
918       }
919     }
920     ierr = PetscDrawCollectiveEnd(draw);CHKERRQ(ierr);
921   }
922   PetscFunctionReturn(0);
923 }
924 
925 #include <petscdraw.h>
926 #undef __FUNCT__
927 #define __FUNCT__ "MatView_SeqAIJ_Draw"
928 PetscErrorCode MatView_SeqAIJ_Draw(Mat A,PetscViewer viewer)
929 {
930   PetscErrorCode ierr;
931   PetscDraw      draw;
932   PetscReal      xr,yr,xl,yl,h,w;
933   PetscBool      isnull;
934 
935   PetscFunctionBegin;
936   ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
937   ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr);
938   if (isnull) PetscFunctionReturn(0);
939 
940   xr   = A->cmap->n; yr  = A->rmap->n; h = yr/10.0; w = xr/10.0;
941   xr  += w;          yr += h;         xl = -w;     yl = -h;
942   ierr = PetscDrawSetCoordinates(draw,xl,yl,xr,yr);CHKERRQ(ierr);
943   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer);CHKERRQ(ierr);
944   ierr = PetscDrawZoom(draw,MatView_SeqAIJ_Draw_Zoom,A);CHKERRQ(ierr);
945   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",NULL);CHKERRQ(ierr);
946   ierr = PetscDrawSave(draw);CHKERRQ(ierr);
947   PetscFunctionReturn(0);
948 }
949 
950 #undef __FUNCT__
951 #define __FUNCT__ "MatView_SeqAIJ"
952 PetscErrorCode MatView_SeqAIJ(Mat A,PetscViewer viewer)
953 {
954   PetscErrorCode ierr;
955   PetscBool      iascii,isbinary,isdraw;
956 
957   PetscFunctionBegin;
958   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
959   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
960   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
961   if (iascii) {
962     ierr = MatView_SeqAIJ_ASCII(A,viewer);CHKERRQ(ierr);
963   } else if (isbinary) {
964     ierr = MatView_SeqAIJ_Binary(A,viewer);CHKERRQ(ierr);
965   } else if (isdraw) {
966     ierr = MatView_SeqAIJ_Draw(A,viewer);CHKERRQ(ierr);
967   }
968   ierr = MatView_SeqAIJ_Inode(A,viewer);CHKERRQ(ierr);
969   PetscFunctionReturn(0);
970 }
971 
972 #undef __FUNCT__
973 #define __FUNCT__ "MatAssemblyEnd_SeqAIJ"
974 PetscErrorCode MatAssemblyEnd_SeqAIJ(Mat A,MatAssemblyType mode)
975 {
976   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
977   PetscErrorCode ierr;
978   PetscInt       fshift = 0,i,j,*ai = a->i,*aj = a->j,*imax = a->imax;
979   PetscInt       m      = A->rmap->n,*ip,N,*ailen = a->ilen,rmax = 0;
980   MatScalar      *aa    = a->a,*ap;
981   PetscReal      ratio  = 0.6;
982 
983   PetscFunctionBegin;
984   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
985 
986   if (m) rmax = ailen[0]; /* determine row with most nonzeros */
987   for (i=1; i<m; i++) {
988     /* move each row back by the amount of empty slots (fshift) before it*/
989     fshift += imax[i-1] - ailen[i-1];
990     rmax    = PetscMax(rmax,ailen[i]);
991     if (fshift) {
992       ip = aj + ai[i];
993       ap = aa + ai[i];
994       N  = ailen[i];
995       for (j=0; j<N; j++) {
996         ip[j-fshift] = ip[j];
997         ap[j-fshift] = ap[j];
998       }
999     }
1000     ai[i] = ai[i-1] + ailen[i-1];
1001   }
1002   if (m) {
1003     fshift += imax[m-1] - ailen[m-1];
1004     ai[m]   = ai[m-1] + ailen[m-1];
1005   }
1006 
1007   /* reset ilen and imax for each row */
1008   a->nonzerorowcnt = 0;
1009   for (i=0; i<m; i++) {
1010     ailen[i] = imax[i] = ai[i+1] - ai[i];
1011     a->nonzerorowcnt += ((ai[i+1] - ai[i]) > 0);
1012   }
1013   a->nz = ai[m];
1014   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);
1015 
1016   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1017   ierr = PetscInfo4(A,"Matrix size: %D X %D; storage space: %D unneeded,%D used\n",m,A->cmap->n,fshift,a->nz);CHKERRQ(ierr);
1018   ierr = PetscInfo1(A,"Number of mallocs during MatSetValues() is %D\n",a->reallocs);CHKERRQ(ierr);
1019   ierr = PetscInfo1(A,"Maximum nonzeros in any row is %D\n",rmax);CHKERRQ(ierr);
1020 
1021   A->info.mallocs    += a->reallocs;
1022   a->reallocs         = 0;
1023   A->info.nz_unneeded = (PetscReal)fshift;
1024   a->rmax             = rmax;
1025 
1026   ierr = MatCheckCompressedRow(A,a->nonzerorowcnt,&a->compressedrow,a->i,m,ratio);CHKERRQ(ierr);
1027   ierr = MatAssemblyEnd_SeqAIJ_Inode(A,mode);CHKERRQ(ierr);
1028   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1029   PetscFunctionReturn(0);
1030 }
1031 
1032 #undef __FUNCT__
1033 #define __FUNCT__ "MatRealPart_SeqAIJ"
1034 PetscErrorCode MatRealPart_SeqAIJ(Mat A)
1035 {
1036   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1037   PetscInt       i,nz = a->nz;
1038   MatScalar      *aa = a->a;
1039   PetscErrorCode ierr;
1040 
1041   PetscFunctionBegin;
1042   for (i=0; i<nz; i++) aa[i] = PetscRealPart(aa[i]);
1043   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1044   PetscFunctionReturn(0);
1045 }
1046 
1047 #undef __FUNCT__
1048 #define __FUNCT__ "MatImaginaryPart_SeqAIJ"
1049 PetscErrorCode MatImaginaryPart_SeqAIJ(Mat A)
1050 {
1051   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1052   PetscInt       i,nz = a->nz;
1053   MatScalar      *aa = a->a;
1054   PetscErrorCode ierr;
1055 
1056   PetscFunctionBegin;
1057   for (i=0; i<nz; i++) aa[i] = PetscImaginaryPart(aa[i]);
1058   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1059   PetscFunctionReturn(0);
1060 }
1061 
1062 #undef __FUNCT__
1063 #define __FUNCT__ "MatZeroEntries_SeqAIJ"
1064 PetscErrorCode MatZeroEntries_SeqAIJ(Mat A)
1065 {
1066   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1067   PetscErrorCode ierr;
1068 
1069   PetscFunctionBegin;
1070   ierr = PetscMemzero(a->a,(a->i[A->rmap->n])*sizeof(PetscScalar));CHKERRQ(ierr);
1071   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1072   PetscFunctionReturn(0);
1073 }
1074 
1075 #undef __FUNCT__
1076 #define __FUNCT__ "MatDestroy_SeqAIJ"
1077 PetscErrorCode MatDestroy_SeqAIJ(Mat A)
1078 {
1079   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1080   PetscErrorCode ierr;
1081 
1082   PetscFunctionBegin;
1083 #if defined(PETSC_USE_LOG)
1084   PetscLogObjectState((PetscObject)A,"Rows=%D, Cols=%D, NZ=%D",A->rmap->n,A->cmap->n,a->nz);
1085 #endif
1086   ierr = MatSeqXAIJFreeAIJ(A,&a->a,&a->j,&a->i);CHKERRQ(ierr);
1087   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
1088   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
1089   ierr = PetscFree(a->diag);CHKERRQ(ierr);
1090   ierr = PetscFree(a->ibdiag);CHKERRQ(ierr);
1091   ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);
1092   ierr = PetscFree3(a->idiag,a->mdiag,a->ssor_work);CHKERRQ(ierr);
1093   ierr = PetscFree(a->solve_work);CHKERRQ(ierr);
1094   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
1095   ierr = PetscFree(a->saved_values);CHKERRQ(ierr);
1096   ierr = ISColoringDestroy(&a->coloring);CHKERRQ(ierr);
1097   ierr = PetscFree2(a->compressedrow.i,a->compressedrow.rindex);CHKERRQ(ierr);
1098   ierr = PetscFree(a->matmult_abdense);CHKERRQ(ierr);
1099 
1100   ierr = MatDestroy_SeqAIJ_Inode(A);CHKERRQ(ierr);
1101   ierr = PetscFree(A->data);CHKERRQ(ierr);
1102 
1103   ierr = PetscObjectChangeTypeName((PetscObject)A,0);CHKERRQ(ierr);
1104   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetColumnIndices_C",NULL);CHKERRQ(ierr);
1105   ierr = PetscObjectComposeFunction((PetscObject)A,"MatStoreValues_C",NULL);CHKERRQ(ierr);
1106   ierr = PetscObjectComposeFunction((PetscObject)A,"MatRetrieveValues_C",NULL);CHKERRQ(ierr);
1107   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqsbaij_C",NULL);CHKERRQ(ierr);
1108   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqbaij_C",NULL);CHKERRQ(ierr);
1109   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqaijperm_C",NULL);CHKERRQ(ierr);
1110 #if defined(PETSC_HAVE_ELEMENTAL)
1111   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_elemental_C",NULL);CHKERRQ(ierr);
1112 #endif
1113   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqdense_C",NULL);CHKERRQ(ierr);
1114   ierr = PetscObjectComposeFunction((PetscObject)A,"MatIsTranspose_C",NULL);CHKERRQ(ierr);
1115   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetPreallocation_C",NULL);CHKERRQ(ierr);
1116   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetPreallocationCSR_C",NULL);CHKERRQ(ierr);
1117   ierr = PetscObjectComposeFunction((PetscObject)A,"MatReorderForNonzeroDiagonal_C",NULL);CHKERRQ(ierr);
1118   PetscFunctionReturn(0);
1119 }
1120 
1121 #undef __FUNCT__
1122 #define __FUNCT__ "MatSetOption_SeqAIJ"
1123 PetscErrorCode MatSetOption_SeqAIJ(Mat A,MatOption op,PetscBool flg)
1124 {
1125   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1126   PetscErrorCode ierr;
1127 
1128   PetscFunctionBegin;
1129   switch (op) {
1130   case MAT_ROW_ORIENTED:
1131     a->roworiented = flg;
1132     break;
1133   case MAT_KEEP_NONZERO_PATTERN:
1134     a->keepnonzeropattern = flg;
1135     break;
1136   case MAT_NEW_NONZERO_LOCATIONS:
1137     a->nonew = (flg ? 0 : 1);
1138     break;
1139   case MAT_NEW_NONZERO_LOCATION_ERR:
1140     a->nonew = (flg ? -1 : 0);
1141     break;
1142   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1143     a->nonew = (flg ? -2 : 0);
1144     break;
1145   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1146     a->nounused = (flg ? -1 : 0);
1147     break;
1148   case MAT_IGNORE_ZERO_ENTRIES:
1149     a->ignorezeroentries = flg;
1150     break;
1151   case MAT_SPD:
1152   case MAT_SYMMETRIC:
1153   case MAT_STRUCTURALLY_SYMMETRIC:
1154   case MAT_HERMITIAN:
1155   case MAT_SYMMETRY_ETERNAL:
1156     /* These options are handled directly by MatSetOption() */
1157     break;
1158   case MAT_NEW_DIAGONALS:
1159   case MAT_IGNORE_OFF_PROC_ENTRIES:
1160   case MAT_USE_HASH_TABLE:
1161     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1162     break;
1163   case MAT_USE_INODES:
1164     /* Not an error because MatSetOption_SeqAIJ_Inode handles this one */
1165     break;
1166   default:
1167     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
1168   }
1169   ierr = MatSetOption_SeqAIJ_Inode(A,op,flg);CHKERRQ(ierr);
1170   PetscFunctionReturn(0);
1171 }
1172 
1173 #undef __FUNCT__
1174 #define __FUNCT__ "MatGetDiagonal_SeqAIJ"
1175 PetscErrorCode MatGetDiagonal_SeqAIJ(Mat A,Vec v)
1176 {
1177   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1178   PetscErrorCode ierr;
1179   PetscInt       i,j,n,*ai=a->i,*aj=a->j,nz;
1180   PetscScalar    *aa=a->a,*x,zero=0.0;
1181 
1182   PetscFunctionBegin;
1183   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
1184   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
1185 
1186   if (A->factortype == MAT_FACTOR_ILU || A->factortype == MAT_FACTOR_LU) {
1187     PetscInt *diag=a->diag;
1188     ierr = VecGetArray(v,&x);CHKERRQ(ierr);
1189     for (i=0; i<n; i++) x[i] = 1.0/aa[diag[i]];
1190     ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
1191     PetscFunctionReturn(0);
1192   }
1193 
1194   ierr = VecSet(v,zero);CHKERRQ(ierr);
1195   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
1196   for (i=0; i<n; i++) {
1197     nz = ai[i+1] - ai[i];
1198     if (!nz) x[i] = 0.0;
1199     for (j=ai[i]; j<ai[i+1]; j++) {
1200       if (aj[j] == i) {
1201         x[i] = aa[j];
1202         break;
1203       }
1204     }
1205   }
1206   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
1207   PetscFunctionReturn(0);
1208 }
1209 
1210 #include <../src/mat/impls/aij/seq/ftn-kernels/fmult.h>
1211 #undef __FUNCT__
1212 #define __FUNCT__ "MatMultTransposeAdd_SeqAIJ"
1213 PetscErrorCode MatMultTransposeAdd_SeqAIJ(Mat A,Vec xx,Vec zz,Vec yy)
1214 {
1215   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1216   PetscScalar       *y;
1217   const PetscScalar *x;
1218   PetscErrorCode    ierr;
1219   PetscInt          m = A->rmap->n;
1220 #if !defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
1221   const MatScalar   *v;
1222   PetscScalar       alpha;
1223   PetscInt          n,i,j;
1224   const PetscInt    *idx,*ii,*ridx=NULL;
1225   Mat_CompressedRow cprow    = a->compressedrow;
1226   PetscBool         usecprow = cprow.use;
1227 #endif
1228 
1229   PetscFunctionBegin;
1230   if (zz != yy) {ierr = VecCopy(zz,yy);CHKERRQ(ierr);}
1231   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1232   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1233 
1234 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
1235   fortranmulttransposeaddaij_(&m,x,a->i,a->j,a->a,y);
1236 #else
1237   if (usecprow) {
1238     m    = cprow.nrows;
1239     ii   = cprow.i;
1240     ridx = cprow.rindex;
1241   } else {
1242     ii = a->i;
1243   }
1244   for (i=0; i<m; i++) {
1245     idx = a->j + ii[i];
1246     v   = a->a + ii[i];
1247     n   = ii[i+1] - ii[i];
1248     if (usecprow) {
1249       alpha = x[ridx[i]];
1250     } else {
1251       alpha = x[i];
1252     }
1253     for (j=0; j<n; j++) y[idx[j]] += alpha*v[j];
1254   }
1255 #endif
1256   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1257   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1258   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1259   PetscFunctionReturn(0);
1260 }
1261 
1262 #undef __FUNCT__
1263 #define __FUNCT__ "MatMultTranspose_SeqAIJ"
1264 PetscErrorCode MatMultTranspose_SeqAIJ(Mat A,Vec xx,Vec yy)
1265 {
1266   PetscErrorCode ierr;
1267 
1268   PetscFunctionBegin;
1269   ierr = VecSet(yy,0.0);CHKERRQ(ierr);
1270   ierr = MatMultTransposeAdd_SeqAIJ(A,xx,yy,yy);CHKERRQ(ierr);
1271   PetscFunctionReturn(0);
1272 }
1273 
1274 #include <../src/mat/impls/aij/seq/ftn-kernels/fmult.h>
1275 
1276 #undef __FUNCT__
1277 #define __FUNCT__ "MatMult_SeqAIJ"
1278 PetscErrorCode MatMult_SeqAIJ(Mat A,Vec xx,Vec yy)
1279 {
1280   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1281   PetscScalar       *y;
1282   const PetscScalar *x;
1283   const MatScalar   *aa;
1284   PetscErrorCode    ierr;
1285   PetscInt          m=A->rmap->n;
1286   const PetscInt    *aj,*ii,*ridx=NULL;
1287   PetscInt          n,i;
1288   PetscScalar       sum;
1289   PetscBool         usecprow=a->compressedrow.use;
1290 
1291 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
1292 #pragma disjoint(*x,*y,*aa)
1293 #endif
1294 
1295   PetscFunctionBegin;
1296   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1297   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1298   ii   = a->i;
1299   if (usecprow) { /* use compressed row format */
1300     ierr = PetscMemzero(y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1301     m    = a->compressedrow.nrows;
1302     ii   = a->compressedrow.i;
1303     ridx = a->compressedrow.rindex;
1304     for (i=0; i<m; i++) {
1305       n           = ii[i+1] - ii[i];
1306       aj          = a->j + ii[i];
1307       aa          = a->a + ii[i];
1308       sum         = 0.0;
1309       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1310       /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */
1311       y[*ridx++] = sum;
1312     }
1313   } else { /* do not use compressed row format */
1314 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTAIJ)
1315     aj   = a->j;
1316     aa   = a->a;
1317     fortranmultaij_(&m,x,ii,aj,aa,y);
1318 #else
1319     for (i=0; i<m; i++) {
1320       n           = ii[i+1] - ii[i];
1321       aj          = a->j + ii[i];
1322       aa          = a->a + ii[i];
1323       sum         = 0.0;
1324       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1325       y[i] = sum;
1326     }
1327 #endif
1328   }
1329   ierr = PetscLogFlops(2.0*a->nz - a->nonzerorowcnt);CHKERRQ(ierr);
1330   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1331   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1332   PetscFunctionReturn(0);
1333 }
1334 
1335 #undef __FUNCT__
1336 #define __FUNCT__ "MatMultMax_SeqAIJ"
1337 PetscErrorCode MatMultMax_SeqAIJ(Mat A,Vec xx,Vec yy)
1338 {
1339   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1340   PetscScalar       *y;
1341   const PetscScalar *x;
1342   const MatScalar   *aa;
1343   PetscErrorCode    ierr;
1344   PetscInt          m=A->rmap->n;
1345   const PetscInt    *aj,*ii,*ridx=NULL;
1346   PetscInt          n,i,nonzerorow=0;
1347   PetscScalar       sum;
1348   PetscBool         usecprow=a->compressedrow.use;
1349 
1350 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
1351 #pragma disjoint(*x,*y,*aa)
1352 #endif
1353 
1354   PetscFunctionBegin;
1355   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1356   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1357   if (usecprow) { /* use compressed row format */
1358     m    = a->compressedrow.nrows;
1359     ii   = a->compressedrow.i;
1360     ridx = a->compressedrow.rindex;
1361     for (i=0; i<m; i++) {
1362       n           = ii[i+1] - ii[i];
1363       aj          = a->j + ii[i];
1364       aa          = a->a + ii[i];
1365       sum         = 0.0;
1366       nonzerorow += (n>0);
1367       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1368       /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */
1369       y[*ridx++] = sum;
1370     }
1371   } else { /* do not use compressed row format */
1372     ii = a->i;
1373     for (i=0; i<m; i++) {
1374       n           = ii[i+1] - ii[i];
1375       aj          = a->j + ii[i];
1376       aa          = a->a + ii[i];
1377       sum         = 0.0;
1378       nonzerorow += (n>0);
1379       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1380       y[i] = sum;
1381     }
1382   }
1383   ierr = PetscLogFlops(2.0*a->nz - nonzerorow);CHKERRQ(ierr);
1384   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1385   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1386   PetscFunctionReturn(0);
1387 }
1388 
1389 #undef __FUNCT__
1390 #define __FUNCT__ "MatMultAddMax_SeqAIJ"
1391 PetscErrorCode MatMultAddMax_SeqAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1392 {
1393   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1394   PetscScalar       *y,*z;
1395   const PetscScalar *x;
1396   const MatScalar   *aa;
1397   PetscErrorCode    ierr;
1398   PetscInt          m = A->rmap->n,*aj,*ii;
1399   PetscInt          n,i,*ridx=NULL;
1400   PetscScalar       sum;
1401   PetscBool         usecprow=a->compressedrow.use;
1402 
1403   PetscFunctionBegin;
1404   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1405   ierr = VecGetArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1406   if (usecprow) { /* use compressed row format */
1407     if (zz != yy) {
1408       ierr = PetscMemcpy(z,y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1409     }
1410     m    = a->compressedrow.nrows;
1411     ii   = a->compressedrow.i;
1412     ridx = a->compressedrow.rindex;
1413     for (i=0; i<m; i++) {
1414       n   = ii[i+1] - ii[i];
1415       aj  = a->j + ii[i];
1416       aa  = a->a + ii[i];
1417       sum = y[*ridx];
1418       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1419       z[*ridx++] = sum;
1420     }
1421   } else { /* do not use compressed row format */
1422     ii = a->i;
1423     for (i=0; i<m; i++) {
1424       n   = ii[i+1] - ii[i];
1425       aj  = a->j + ii[i];
1426       aa  = a->a + ii[i];
1427       sum = y[i];
1428       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1429       z[i] = sum;
1430     }
1431   }
1432   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1433   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1434   ierr = VecRestoreArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1435   PetscFunctionReturn(0);
1436 }
1437 
1438 #include <../src/mat/impls/aij/seq/ftn-kernels/fmultadd.h>
1439 #undef __FUNCT__
1440 #define __FUNCT__ "MatMultAdd_SeqAIJ"
1441 PetscErrorCode MatMultAdd_SeqAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1442 {
1443   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1444   PetscScalar       *y,*z;
1445   const PetscScalar *x;
1446   const MatScalar   *aa;
1447   PetscErrorCode    ierr;
1448   const PetscInt    *aj,*ii,*ridx=NULL;
1449   PetscInt          m = A->rmap->n,n,i;
1450   PetscScalar       sum;
1451   PetscBool         usecprow=a->compressedrow.use;
1452 
1453   PetscFunctionBegin;
1454   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1455   ierr = VecGetArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1456   if (usecprow) { /* use compressed row format */
1457     if (zz != yy) {
1458       ierr = PetscMemcpy(z,y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1459     }
1460     m    = a->compressedrow.nrows;
1461     ii   = a->compressedrow.i;
1462     ridx = a->compressedrow.rindex;
1463     for (i=0; i<m; i++) {
1464       n   = ii[i+1] - ii[i];
1465       aj  = a->j + ii[i];
1466       aa  = a->a + ii[i];
1467       sum = y[*ridx];
1468       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1469       z[*ridx++] = sum;
1470     }
1471   } else { /* do not use compressed row format */
1472     ii = a->i;
1473 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTADDAIJ)
1474     aj = a->j;
1475     aa = a->a;
1476     fortranmultaddaij_(&m,x,ii,aj,aa,y,z);
1477 #else
1478     for (i=0; i<m; i++) {
1479       n   = ii[i+1] - ii[i];
1480       aj  = a->j + ii[i];
1481       aa  = a->a + ii[i];
1482       sum = y[i];
1483       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1484       z[i] = sum;
1485     }
1486 #endif
1487   }
1488   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1489   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1490   ierr = VecRestoreArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1491 #if defined(PETSC_HAVE_CUSP)
1492   /*
1493   ierr = VecView(xx,0);CHKERRQ(ierr);
1494   ierr = VecView(zz,0);CHKERRQ(ierr);
1495   ierr = MatView(A,0);CHKERRQ(ierr);
1496   */
1497 #endif
1498   PetscFunctionReturn(0);
1499 }
1500 
1501 /*
1502      Adds diagonal pointers to sparse matrix structure.
1503 */
1504 #undef __FUNCT__
1505 #define __FUNCT__ "MatMarkDiagonal_SeqAIJ"
1506 PetscErrorCode MatMarkDiagonal_SeqAIJ(Mat A)
1507 {
1508   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1509   PetscErrorCode ierr;
1510   PetscInt       i,j,m = A->rmap->n;
1511 
1512   PetscFunctionBegin;
1513   if (!a->diag) {
1514     ierr = PetscMalloc1(m,&a->diag);CHKERRQ(ierr);
1515     ierr = PetscLogObjectMemory((PetscObject)A, m*sizeof(PetscInt));CHKERRQ(ierr);
1516   }
1517   for (i=0; i<A->rmap->n; i++) {
1518     a->diag[i] = a->i[i+1];
1519     for (j=a->i[i]; j<a->i[i+1]; j++) {
1520       if (a->j[j] == i) {
1521         a->diag[i] = j;
1522         break;
1523       }
1524     }
1525   }
1526   PetscFunctionReturn(0);
1527 }
1528 
1529 /*
1530      Checks for missing diagonals
1531 */
1532 #undef __FUNCT__
1533 #define __FUNCT__ "MatMissingDiagonal_SeqAIJ"
1534 PetscErrorCode MatMissingDiagonal_SeqAIJ(Mat A,PetscBool  *missing,PetscInt *d)
1535 {
1536   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1537   PetscInt   *diag,*ii = a->i,i;
1538 
1539   PetscFunctionBegin;
1540   *missing = PETSC_FALSE;
1541   if (A->rmap->n > 0 && !ii) {
1542     *missing = PETSC_TRUE;
1543     if (d) *d = 0;
1544     PetscInfo(A,"Matrix has no entries therefore is missing diagonal\n");
1545   } else {
1546     diag = a->diag;
1547     for (i=0; i<A->rmap->n; i++) {
1548       if (diag[i] >= ii[i+1]) {
1549         *missing = PETSC_TRUE;
1550         if (d) *d = i;
1551         PetscInfo1(A,"Matrix is missing diagonal number %D\n",i);
1552         break;
1553       }
1554     }
1555   }
1556   PetscFunctionReturn(0);
1557 }
1558 
1559 #undef __FUNCT__
1560 #define __FUNCT__ "MatInvertDiagonal_SeqAIJ"
1561 /*
1562    Negative shift indicates do not generate an error if there is a zero diagonal, just invert it anyways
1563 */
1564 PetscErrorCode  MatInvertDiagonal_SeqAIJ(Mat A,PetscScalar omega,PetscScalar fshift)
1565 {
1566   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
1567   PetscErrorCode ierr;
1568   PetscInt       i,*diag,m = A->rmap->n;
1569   MatScalar      *v = a->a;
1570   PetscScalar    *idiag,*mdiag;
1571 
1572   PetscFunctionBegin;
1573   if (a->idiagvalid) PetscFunctionReturn(0);
1574   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1575   diag = a->diag;
1576   if (!a->idiag) {
1577     ierr = PetscMalloc3(m,&a->idiag,m,&a->mdiag,m,&a->ssor_work);CHKERRQ(ierr);
1578     ierr = PetscLogObjectMemory((PetscObject)A, 3*m*sizeof(PetscScalar));CHKERRQ(ierr);
1579     v    = a->a;
1580   }
1581   mdiag = a->mdiag;
1582   idiag = a->idiag;
1583 
1584   if (omega == 1.0 && PetscRealPart(fshift) <= 0.0) {
1585     for (i=0; i<m; i++) {
1586       mdiag[i] = v[diag[i]];
1587       if (!PetscAbsScalar(mdiag[i])) { /* zero diagonal */
1588         if (PetscRealPart(fshift)) {
1589           ierr = PetscInfo1(A,"Zero diagonal on row %D\n",i);CHKERRQ(ierr);
1590           A->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
1591         } else {
1592           SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Zero diagonal on row %D",i);
1593         }
1594       }
1595       idiag[i] = 1.0/v[diag[i]];
1596     }
1597     ierr = PetscLogFlops(m);CHKERRQ(ierr);
1598   } else {
1599     for (i=0; i<m; i++) {
1600       mdiag[i] = v[diag[i]];
1601       idiag[i] = omega/(fshift + v[diag[i]]);
1602     }
1603     ierr = PetscLogFlops(2.0*m);CHKERRQ(ierr);
1604   }
1605   a->idiagvalid = PETSC_TRUE;
1606   PetscFunctionReturn(0);
1607 }
1608 
1609 #include <../src/mat/impls/aij/seq/ftn-kernels/frelax.h>
1610 #undef __FUNCT__
1611 #define __FUNCT__ "MatSOR_SeqAIJ"
1612 PetscErrorCode MatSOR_SeqAIJ(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
1613 {
1614   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1615   PetscScalar       *x,d,sum,*t,scale;
1616   const MatScalar   *v,*idiag=0,*mdiag;
1617   const PetscScalar *b, *bs,*xb, *ts;
1618   PetscErrorCode    ierr;
1619   PetscInt          n,m = A->rmap->n,i;
1620   const PetscInt    *idx,*diag;
1621 
1622   PetscFunctionBegin;
1623   its = its*lits;
1624 
1625   if (fshift != a->fshift || omega != a->omega) a->idiagvalid = PETSC_FALSE; /* must recompute idiag[] */
1626   if (!a->idiagvalid) {ierr = MatInvertDiagonal_SeqAIJ(A,omega,fshift);CHKERRQ(ierr);}
1627   a->fshift = fshift;
1628   a->omega  = omega;
1629 
1630   diag  = a->diag;
1631   t     = a->ssor_work;
1632   idiag = a->idiag;
1633   mdiag = a->mdiag;
1634 
1635   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1636   ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
1637   /* We count flops by assuming the upper triangular and lower triangular parts have the same number of nonzeros */
1638   if (flag == SOR_APPLY_UPPER) {
1639     /* apply (U + D/omega) to the vector */
1640     bs = b;
1641     for (i=0; i<m; i++) {
1642       d   = fshift + mdiag[i];
1643       n   = a->i[i+1] - diag[i] - 1;
1644       idx = a->j + diag[i] + 1;
1645       v   = a->a + diag[i] + 1;
1646       sum = b[i]*d/omega;
1647       PetscSparseDensePlusDot(sum,bs,v,idx,n);
1648       x[i] = sum;
1649     }
1650     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1651     ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1652     ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1653     PetscFunctionReturn(0);
1654   }
1655 
1656   if (flag == SOR_APPLY_LOWER) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SOR_APPLY_LOWER is not implemented");
1657   else if (flag & SOR_EISENSTAT) {
1658     /* Let  A = L + U + D; where L is lower trianglar,
1659     U is upper triangular, E = D/omega; This routine applies
1660 
1661             (L + E)^{-1} A (U + E)^{-1}
1662 
1663     to a vector efficiently using Eisenstat's trick.
1664     */
1665     scale = (2.0/omega) - 1.0;
1666 
1667     /*  x = (E + U)^{-1} b */
1668     for (i=m-1; i>=0; i--) {
1669       n   = a->i[i+1] - diag[i] - 1;
1670       idx = a->j + diag[i] + 1;
1671       v   = a->a + diag[i] + 1;
1672       sum = b[i];
1673       PetscSparseDenseMinusDot(sum,x,v,idx,n);
1674       x[i] = sum*idiag[i];
1675     }
1676 
1677     /*  t = b - (2*E - D)x */
1678     v = a->a;
1679     for (i=0; i<m; i++) t[i] = b[i] - scale*(v[*diag++])*x[i];
1680 
1681     /*  t = (E + L)^{-1}t */
1682     ts   = t;
1683     diag = a->diag;
1684     for (i=0; i<m; i++) {
1685       n   = diag[i] - a->i[i];
1686       idx = a->j + a->i[i];
1687       v   = a->a + a->i[i];
1688       sum = t[i];
1689       PetscSparseDenseMinusDot(sum,ts,v,idx,n);
1690       t[i] = sum*idiag[i];
1691       /*  x = x + t */
1692       x[i] += t[i];
1693     }
1694 
1695     ierr = PetscLogFlops(6.0*m-1 + 2.0*a->nz);CHKERRQ(ierr);
1696     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1697     ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1698     PetscFunctionReturn(0);
1699   }
1700   if (flag & SOR_ZERO_INITIAL_GUESS) {
1701     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
1702       for (i=0; i<m; i++) {
1703         n   = diag[i] - a->i[i];
1704         idx = a->j + a->i[i];
1705         v   = a->a + a->i[i];
1706         sum = b[i];
1707         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1708         t[i] = sum;
1709         x[i] = sum*idiag[i];
1710       }
1711       xb   = t;
1712       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1713     } else xb = b;
1714     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
1715       for (i=m-1; i>=0; i--) {
1716         n   = a->i[i+1] - diag[i] - 1;
1717         idx = a->j + diag[i] + 1;
1718         v   = a->a + diag[i] + 1;
1719         sum = xb[i];
1720         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1721         if (xb == b) {
1722           x[i] = sum*idiag[i];
1723         } else {
1724           x[i] = (1-omega)*x[i] + sum*idiag[i];  /* omega in idiag */
1725         }
1726       }
1727       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr); /* assumes 1/2 in upper */
1728     }
1729     its--;
1730   }
1731   while (its--) {
1732     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
1733       for (i=0; i<m; i++) {
1734         /* lower */
1735         n   = diag[i] - a->i[i];
1736         idx = a->j + a->i[i];
1737         v   = a->a + a->i[i];
1738         sum = b[i];
1739         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1740         t[i] = sum;             /* save application of the lower-triangular part */
1741         /* upper */
1742         n   = a->i[i+1] - diag[i] - 1;
1743         idx = a->j + diag[i] + 1;
1744         v   = a->a + diag[i] + 1;
1745         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1746         x[i] = (1. - omega)*x[i] + sum*idiag[i]; /* omega in idiag */
1747       }
1748       xb   = t;
1749       ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1750     } else xb = b;
1751     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
1752       for (i=m-1; i>=0; i--) {
1753         sum = xb[i];
1754         if (xb == b) {
1755           /* whole matrix (no checkpointing available) */
1756           n   = a->i[i+1] - a->i[i];
1757           idx = a->j + a->i[i];
1758           v   = a->a + a->i[i];
1759           PetscSparseDenseMinusDot(sum,x,v,idx,n);
1760           x[i] = (1. - omega)*x[i] + (sum + mdiag[i]*x[i])*idiag[i];
1761         } else { /* lower-triangular part has been saved, so only apply upper-triangular */
1762           n   = a->i[i+1] - diag[i] - 1;
1763           idx = a->j + diag[i] + 1;
1764           v   = a->a + diag[i] + 1;
1765           PetscSparseDenseMinusDot(sum,x,v,idx,n);
1766           x[i] = (1. - omega)*x[i] + sum*idiag[i];  /* omega in idiag */
1767         }
1768       }
1769       if (xb == b) {
1770         ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1771       } else {
1772         ierr = PetscLogFlops(a->nz);CHKERRQ(ierr); /* assumes 1/2 in upper */
1773       }
1774     }
1775   }
1776   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1777   ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1778   PetscFunctionReturn(0);
1779 }
1780 
1781 
1782 #undef __FUNCT__
1783 #define __FUNCT__ "MatGetInfo_SeqAIJ"
1784 PetscErrorCode MatGetInfo_SeqAIJ(Mat A,MatInfoType flag,MatInfo *info)
1785 {
1786   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1787 
1788   PetscFunctionBegin;
1789   info->block_size   = 1.0;
1790   info->nz_allocated = (double)a->maxnz;
1791   info->nz_used      = (double)a->nz;
1792   info->nz_unneeded  = (double)(a->maxnz - a->nz);
1793   info->assemblies   = (double)A->num_ass;
1794   info->mallocs      = (double)A->info.mallocs;
1795   info->memory       = ((PetscObject)A)->mem;
1796   if (A->factortype) {
1797     info->fill_ratio_given  = A->info.fill_ratio_given;
1798     info->fill_ratio_needed = A->info.fill_ratio_needed;
1799     info->factor_mallocs    = A->info.factor_mallocs;
1800   } else {
1801     info->fill_ratio_given  = 0;
1802     info->fill_ratio_needed = 0;
1803     info->factor_mallocs    = 0;
1804   }
1805   PetscFunctionReturn(0);
1806 }
1807 
1808 #undef __FUNCT__
1809 #define __FUNCT__ "MatZeroRows_SeqAIJ"
1810 PetscErrorCode MatZeroRows_SeqAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1811 {
1812   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1813   PetscInt          i,m = A->rmap->n - 1,d = 0;
1814   PetscErrorCode    ierr;
1815   const PetscScalar *xx;
1816   PetscScalar       *bb;
1817   PetscBool         missing;
1818 
1819   PetscFunctionBegin;
1820   if (x && b) {
1821     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1822     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1823     for (i=0; i<N; i++) {
1824       if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1825       bb[rows[i]] = diag*xx[rows[i]];
1826     }
1827     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1828     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1829   }
1830 
1831   if (a->keepnonzeropattern) {
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       ierr = PetscMemzero(&a->a[a->i[rows[i]]],a->ilen[rows[i]]*sizeof(PetscScalar));CHKERRQ(ierr);
1835     }
1836     if (diag != 0.0) {
1837       ierr = MatMissingDiagonal_SeqAIJ(A,&missing,&d);CHKERRQ(ierr);
1838       if (missing) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Matrix is missing diagonal entry in row %D",d);
1839       for (i=0; i<N; i++) {
1840         a->a[a->diag[rows[i]]] = diag;
1841       }
1842     }
1843   } else {
1844     if (diag != 0.0) {
1845       for (i=0; i<N; i++) {
1846         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1847         if (a->ilen[rows[i]] > 0) {
1848           a->ilen[rows[i]]    = 1;
1849           a->a[a->i[rows[i]]] = diag;
1850           a->j[a->i[rows[i]]] = rows[i];
1851         } else { /* in case row was completely empty */
1852           ierr = MatSetValues_SeqAIJ(A,1,&rows[i],1,&rows[i],&diag,INSERT_VALUES);CHKERRQ(ierr);
1853         }
1854       }
1855     } else {
1856       for (i=0; i<N; i++) {
1857         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1858         a->ilen[rows[i]] = 0;
1859       }
1860     }
1861     A->nonzerostate++;
1862   }
1863   ierr = MatAssemblyEnd_SeqAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1864   PetscFunctionReturn(0);
1865 }
1866 
1867 #undef __FUNCT__
1868 #define __FUNCT__ "MatZeroRowsColumns_SeqAIJ"
1869 PetscErrorCode MatZeroRowsColumns_SeqAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1870 {
1871   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1872   PetscInt          i,j,m = A->rmap->n - 1,d = 0;
1873   PetscErrorCode    ierr;
1874   PetscBool         missing,*zeroed,vecs = PETSC_FALSE;
1875   const PetscScalar *xx;
1876   PetscScalar       *bb;
1877 
1878   PetscFunctionBegin;
1879   if (x && b) {
1880     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1881     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1882     vecs = PETSC_TRUE;
1883   }
1884   ierr = PetscCalloc1(A->rmap->n,&zeroed);CHKERRQ(ierr);
1885   for (i=0; i<N; i++) {
1886     if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1887     ierr = PetscMemzero(&a->a[a->i[rows[i]]],a->ilen[rows[i]]*sizeof(PetscScalar));CHKERRQ(ierr);
1888 
1889     zeroed[rows[i]] = PETSC_TRUE;
1890   }
1891   for (i=0; i<A->rmap->n; i++) {
1892     if (!zeroed[i]) {
1893       for (j=a->i[i]; j<a->i[i+1]; j++) {
1894         if (zeroed[a->j[j]]) {
1895           if (vecs) bb[i] -= a->a[j]*xx[a->j[j]];
1896           a->a[j] = 0.0;
1897         }
1898       }
1899     } else if (vecs) bb[i] = diag*xx[i];
1900   }
1901   if (x && b) {
1902     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1903     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1904   }
1905   ierr = PetscFree(zeroed);CHKERRQ(ierr);
1906   if (diag != 0.0) {
1907     ierr = MatMissingDiagonal_SeqAIJ(A,&missing,&d);CHKERRQ(ierr);
1908     if (missing) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Matrix is missing diagonal entry in row %D",d);
1909     for (i=0; i<N; i++) {
1910       a->a[a->diag[rows[i]]] = diag;
1911     }
1912   }
1913   ierr = MatAssemblyEnd_SeqAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1914   PetscFunctionReturn(0);
1915 }
1916 
1917 #undef __FUNCT__
1918 #define __FUNCT__ "MatGetRow_SeqAIJ"
1919 PetscErrorCode MatGetRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1920 {
1921   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1922   PetscInt   *itmp;
1923 
1924   PetscFunctionBegin;
1925   if (row < 0 || row >= A->rmap->n) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row %D out of range",row);
1926 
1927   *nz = a->i[row+1] - a->i[row];
1928   if (v) *v = a->a + a->i[row];
1929   if (idx) {
1930     itmp = a->j + a->i[row];
1931     if (*nz) *idx = itmp;
1932     else *idx = 0;
1933   }
1934   PetscFunctionReturn(0);
1935 }
1936 
1937 /* remove this function? */
1938 #undef __FUNCT__
1939 #define __FUNCT__ "MatRestoreRow_SeqAIJ"
1940 PetscErrorCode MatRestoreRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1941 {
1942   PetscFunctionBegin;
1943   PetscFunctionReturn(0);
1944 }
1945 
1946 #undef __FUNCT__
1947 #define __FUNCT__ "MatNorm_SeqAIJ"
1948 PetscErrorCode MatNorm_SeqAIJ(Mat A,NormType type,PetscReal *nrm)
1949 {
1950   Mat_SeqAIJ     *a  = (Mat_SeqAIJ*)A->data;
1951   MatScalar      *v  = a->a;
1952   PetscReal      sum = 0.0;
1953   PetscErrorCode ierr;
1954   PetscInt       i,j;
1955 
1956   PetscFunctionBegin;
1957   if (type == NORM_FROBENIUS) {
1958     for (i=0; i<a->nz; i++) {
1959       sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
1960     }
1961     *nrm = PetscSqrtReal(sum);
1962   } else if (type == NORM_1) {
1963     PetscReal *tmp;
1964     PetscInt  *jj = a->j;
1965     ierr = PetscCalloc1(A->cmap->n+1,&tmp);CHKERRQ(ierr);
1966     *nrm = 0.0;
1967     for (j=0; j<a->nz; j++) {
1968       tmp[*jj++] += PetscAbsScalar(*v);  v++;
1969     }
1970     for (j=0; j<A->cmap->n; j++) {
1971       if (tmp[j] > *nrm) *nrm = tmp[j];
1972     }
1973     ierr = PetscFree(tmp);CHKERRQ(ierr);
1974   } else if (type == NORM_INFINITY) {
1975     *nrm = 0.0;
1976     for (j=0; j<A->rmap->n; j++) {
1977       v   = a->a + a->i[j];
1978       sum = 0.0;
1979       for (i=0; i<a->i[j+1]-a->i[j]; i++) {
1980         sum += PetscAbsScalar(*v); v++;
1981       }
1982       if (sum > *nrm) *nrm = sum;
1983     }
1984   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for two norm");
1985   PetscFunctionReturn(0);
1986 }
1987 
1988 /* Merged from MatGetSymbolicTranspose_SeqAIJ() - replace MatGetSymbolicTranspose_SeqAIJ()? */
1989 #undef __FUNCT__
1990 #define __FUNCT__ "MatTransposeSymbolic_SeqAIJ"
1991 PetscErrorCode MatTransposeSymbolic_SeqAIJ(Mat A,Mat *B)
1992 {
1993   PetscErrorCode ierr;
1994   PetscInt       i,j,anzj;
1995   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data,*b;
1996   PetscInt       an=A->cmap->N,am=A->rmap->N;
1997   PetscInt       *ati,*atj,*atfill,*ai=a->i,*aj=a->j;
1998 
1999   PetscFunctionBegin;
2000   /* Allocate space for symbolic transpose info and work array */
2001   ierr = PetscCalloc1(an+1,&ati);CHKERRQ(ierr);
2002   ierr = PetscMalloc1(ai[am],&atj);CHKERRQ(ierr);
2003   ierr = PetscMalloc1(an,&atfill);CHKERRQ(ierr);
2004 
2005   /* Walk through aj and count ## of non-zeros in each row of A^T. */
2006   /* Note: offset by 1 for fast conversion into csr format. */
2007   for (i=0;i<ai[am];i++) ati[aj[i]+1] += 1;
2008   /* Form ati for csr format of A^T. */
2009   for (i=0;i<an;i++) ati[i+1] += ati[i];
2010 
2011   /* Copy ati into atfill so we have locations of the next free space in atj */
2012   ierr = PetscMemcpy(atfill,ati,an*sizeof(PetscInt));CHKERRQ(ierr);
2013 
2014   /* Walk through A row-wise and mark nonzero entries of A^T. */
2015   for (i=0;i<am;i++) {
2016     anzj = ai[i+1] - ai[i];
2017     for (j=0;j<anzj;j++) {
2018       atj[atfill[*aj]] = i;
2019       atfill[*aj++]   += 1;
2020     }
2021   }
2022 
2023   /* Clean up temporary space and complete requests. */
2024   ierr = PetscFree(atfill);CHKERRQ(ierr);
2025   ierr = MatCreateSeqAIJWithArrays(PetscObjectComm((PetscObject)A),an,am,ati,atj,NULL,B);CHKERRQ(ierr);
2026   ierr = MatSetBlockSizes(*B,PetscAbs(A->cmap->bs),PetscAbs(A->rmap->bs));CHKERRQ(ierr);
2027 
2028   b          = (Mat_SeqAIJ*)((*B)->data);
2029   b->free_a  = PETSC_FALSE;
2030   b->free_ij = PETSC_TRUE;
2031   b->nonew   = 0;
2032   PetscFunctionReturn(0);
2033 }
2034 
2035 #undef __FUNCT__
2036 #define __FUNCT__ "MatTranspose_SeqAIJ"
2037 PetscErrorCode MatTranspose_SeqAIJ(Mat A,MatReuse reuse,Mat *B)
2038 {
2039   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2040   Mat            C;
2041   PetscErrorCode ierr;
2042   PetscInt       i,*aj = a->j,*ai = a->i,m = A->rmap->n,len,*col;
2043   MatScalar      *array = a->a;
2044 
2045   PetscFunctionBegin;
2046   if (reuse == MAT_REUSE_MATRIX && A == *B && m != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Square matrix only for in-place");
2047 
2048   if (reuse == MAT_INITIAL_MATRIX || *B == A) {
2049     ierr = PetscCalloc1(1+A->cmap->n,&col);CHKERRQ(ierr);
2050 
2051     for (i=0; i<ai[m]; i++) col[aj[i]] += 1;
2052     ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2053     ierr = MatSetSizes(C,A->cmap->n,m,A->cmap->n,m);CHKERRQ(ierr);
2054     ierr = MatSetBlockSizes(C,PetscAbs(A->cmap->bs),PetscAbs(A->rmap->bs));CHKERRQ(ierr);
2055     ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2056     ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,col);CHKERRQ(ierr);
2057     ierr = PetscFree(col);CHKERRQ(ierr);
2058   } else {
2059     C = *B;
2060   }
2061 
2062   for (i=0; i<m; i++) {
2063     len    = ai[i+1]-ai[i];
2064     ierr   = MatSetValues_SeqAIJ(C,len,aj,1,&i,array,INSERT_VALUES);CHKERRQ(ierr);
2065     array += len;
2066     aj    += len;
2067   }
2068   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2069   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2070 
2071   if (reuse == MAT_INITIAL_MATRIX || *B != A) {
2072     *B = C;
2073   } else {
2074     ierr = MatHeaderMerge(A,&C);CHKERRQ(ierr);
2075   }
2076   PetscFunctionReturn(0);
2077 }
2078 
2079 #undef __FUNCT__
2080 #define __FUNCT__ "MatIsTranspose_SeqAIJ"
2081 PetscErrorCode  MatIsTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
2082 {
2083   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) A->data,*bij = (Mat_SeqAIJ*) B->data;
2084   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr;
2085   MatScalar      *va,*vb;
2086   PetscErrorCode ierr;
2087   PetscInt       ma,na,mb,nb, i;
2088 
2089   PetscFunctionBegin;
2090   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
2091   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
2092   if (ma!=nb || na!=mb) {
2093     *f = PETSC_FALSE;
2094     PetscFunctionReturn(0);
2095   }
2096   aii  = aij->i; bii = bij->i;
2097   adx  = aij->j; bdx = bij->j;
2098   va   = aij->a; vb = bij->a;
2099   ierr = PetscMalloc1(ma,&aptr);CHKERRQ(ierr);
2100   ierr = PetscMalloc1(mb,&bptr);CHKERRQ(ierr);
2101   for (i=0; i<ma; i++) aptr[i] = aii[i];
2102   for (i=0; i<mb; i++) bptr[i] = bii[i];
2103 
2104   *f = PETSC_TRUE;
2105   for (i=0; i<ma; i++) {
2106     while (aptr[i]<aii[i+1]) {
2107       PetscInt    idc,idr;
2108       PetscScalar vc,vr;
2109       /* column/row index/value */
2110       idc = adx[aptr[i]];
2111       idr = bdx[bptr[idc]];
2112       vc  = va[aptr[i]];
2113       vr  = vb[bptr[idc]];
2114       if (i!=idr || PetscAbsScalar(vc-vr) > tol) {
2115         *f = PETSC_FALSE;
2116         goto done;
2117       } else {
2118         aptr[i]++;
2119         if (B || i!=idc) bptr[idc]++;
2120       }
2121     }
2122   }
2123 done:
2124   ierr = PetscFree(aptr);CHKERRQ(ierr);
2125   ierr = PetscFree(bptr);CHKERRQ(ierr);
2126   PetscFunctionReturn(0);
2127 }
2128 
2129 #undef __FUNCT__
2130 #define __FUNCT__ "MatIsHermitianTranspose_SeqAIJ"
2131 PetscErrorCode  MatIsHermitianTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
2132 {
2133   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) A->data,*bij = (Mat_SeqAIJ*) B->data;
2134   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr;
2135   MatScalar      *va,*vb;
2136   PetscErrorCode ierr;
2137   PetscInt       ma,na,mb,nb, i;
2138 
2139   PetscFunctionBegin;
2140   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
2141   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
2142   if (ma!=nb || na!=mb) {
2143     *f = PETSC_FALSE;
2144     PetscFunctionReturn(0);
2145   }
2146   aii  = aij->i; bii = bij->i;
2147   adx  = aij->j; bdx = bij->j;
2148   va   = aij->a; vb = bij->a;
2149   ierr = PetscMalloc1(ma,&aptr);CHKERRQ(ierr);
2150   ierr = PetscMalloc1(mb,&bptr);CHKERRQ(ierr);
2151   for (i=0; i<ma; i++) aptr[i] = aii[i];
2152   for (i=0; i<mb; i++) bptr[i] = bii[i];
2153 
2154   *f = PETSC_TRUE;
2155   for (i=0; i<ma; i++) {
2156     while (aptr[i]<aii[i+1]) {
2157       PetscInt    idc,idr;
2158       PetscScalar vc,vr;
2159       /* column/row index/value */
2160       idc = adx[aptr[i]];
2161       idr = bdx[bptr[idc]];
2162       vc  = va[aptr[i]];
2163       vr  = vb[bptr[idc]];
2164       if (i!=idr || PetscAbsScalar(vc-PetscConj(vr)) > tol) {
2165         *f = PETSC_FALSE;
2166         goto done;
2167       } else {
2168         aptr[i]++;
2169         if (B || i!=idc) bptr[idc]++;
2170       }
2171     }
2172   }
2173 done:
2174   ierr = PetscFree(aptr);CHKERRQ(ierr);
2175   ierr = PetscFree(bptr);CHKERRQ(ierr);
2176   PetscFunctionReturn(0);
2177 }
2178 
2179 #undef __FUNCT__
2180 #define __FUNCT__ "MatIsSymmetric_SeqAIJ"
2181 PetscErrorCode MatIsSymmetric_SeqAIJ(Mat A,PetscReal tol,PetscBool  *f)
2182 {
2183   PetscErrorCode ierr;
2184 
2185   PetscFunctionBegin;
2186   ierr = MatIsTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
2187   PetscFunctionReturn(0);
2188 }
2189 
2190 #undef __FUNCT__
2191 #define __FUNCT__ "MatIsHermitian_SeqAIJ"
2192 PetscErrorCode MatIsHermitian_SeqAIJ(Mat A,PetscReal tol,PetscBool  *f)
2193 {
2194   PetscErrorCode ierr;
2195 
2196   PetscFunctionBegin;
2197   ierr = MatIsHermitianTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
2198   PetscFunctionReturn(0);
2199 }
2200 
2201 #undef __FUNCT__
2202 #define __FUNCT__ "MatDiagonalScale_SeqAIJ"
2203 PetscErrorCode MatDiagonalScale_SeqAIJ(Mat A,Vec ll,Vec rr)
2204 {
2205   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2206   PetscScalar    *l,*r,x;
2207   MatScalar      *v;
2208   PetscErrorCode ierr;
2209   PetscInt       i,j,m = A->rmap->n,n = A->cmap->n,M,nz = a->nz,*jj;
2210 
2211   PetscFunctionBegin;
2212   if (ll) {
2213     /* The local size is used so that VecMPI can be passed to this routine
2214        by MatDiagonalScale_MPIAIJ */
2215     ierr = VecGetLocalSize(ll,&m);CHKERRQ(ierr);
2216     if (m != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Left scaling vector wrong length");
2217     ierr = VecGetArray(ll,&l);CHKERRQ(ierr);
2218     v    = a->a;
2219     for (i=0; i<m; i++) {
2220       x = l[i];
2221       M = a->i[i+1] - a->i[i];
2222       for (j=0; j<M; j++) (*v++) *= x;
2223     }
2224     ierr = VecRestoreArray(ll,&l);CHKERRQ(ierr);
2225     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
2226   }
2227   if (rr) {
2228     ierr = VecGetLocalSize(rr,&n);CHKERRQ(ierr);
2229     if (n != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Right scaling vector wrong length");
2230     ierr = VecGetArray(rr,&r);CHKERRQ(ierr);
2231     v    = a->a; jj = a->j;
2232     for (i=0; i<nz; i++) (*v++) *= r[*jj++];
2233     ierr = VecRestoreArray(rr,&r);CHKERRQ(ierr);
2234     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
2235   }
2236   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
2237   PetscFunctionReturn(0);
2238 }
2239 
2240 #undef __FUNCT__
2241 #define __FUNCT__ "MatGetSubMatrix_SeqAIJ"
2242 PetscErrorCode MatGetSubMatrix_SeqAIJ(Mat A,IS isrow,IS iscol,PetscInt csize,MatReuse scall,Mat *B)
2243 {
2244   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*c;
2245   PetscErrorCode ierr;
2246   PetscInt       *smap,i,k,kstart,kend,oldcols = A->cmap->n,*lens;
2247   PetscInt       row,mat_i,*mat_j,tcol,first,step,*mat_ilen,sum,lensi;
2248   const PetscInt *irow,*icol;
2249   PetscInt       nrows,ncols;
2250   PetscInt       *starts,*j_new,*i_new,*aj = a->j,*ai = a->i,ii,*ailen = a->ilen;
2251   MatScalar      *a_new,*mat_a;
2252   Mat            C;
2253   PetscBool      stride;
2254 
2255   PetscFunctionBegin;
2256 
2257   ierr = ISGetIndices(isrow,&irow);CHKERRQ(ierr);
2258   ierr = ISGetLocalSize(isrow,&nrows);CHKERRQ(ierr);
2259   ierr = ISGetLocalSize(iscol,&ncols);CHKERRQ(ierr);
2260 
2261   ierr = PetscObjectTypeCompare((PetscObject)iscol,ISSTRIDE,&stride);CHKERRQ(ierr);
2262   if (stride) {
2263     ierr = ISStrideGetInfo(iscol,&first,&step);CHKERRQ(ierr);
2264   } else {
2265     first = 0;
2266     step  = 0;
2267   }
2268   if (stride && step == 1) {
2269     /* special case of contiguous rows */
2270     ierr = PetscMalloc2(nrows,&lens,nrows,&starts);CHKERRQ(ierr);
2271     /* loop over new rows determining lens and starting points */
2272     for (i=0; i<nrows; i++) {
2273       kstart = ai[irow[i]];
2274       kend   = kstart + ailen[irow[i]];
2275       starts[i] = kstart;
2276       for (k=kstart; k<kend; k++) {
2277         if (aj[k] >= first) {
2278           starts[i] = k;
2279           break;
2280         }
2281       }
2282       sum = 0;
2283       while (k < kend) {
2284         if (aj[k++] >= first+ncols) break;
2285         sum++;
2286       }
2287       lens[i] = sum;
2288     }
2289     /* create submatrix */
2290     if (scall == MAT_REUSE_MATRIX) {
2291       PetscInt n_cols,n_rows;
2292       ierr = MatGetSize(*B,&n_rows,&n_cols);CHKERRQ(ierr);
2293       if (n_rows != nrows || n_cols != ncols) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Reused submatrix wrong size");
2294       ierr = MatZeroEntries(*B);CHKERRQ(ierr);
2295       C    = *B;
2296     } else {
2297       PetscInt rbs,cbs;
2298       ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2299       ierr = MatSetSizes(C,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2300       ierr = ISGetBlockSize(isrow,&rbs);CHKERRQ(ierr);
2301       ierr = ISGetBlockSize(iscol,&cbs);CHKERRQ(ierr);
2302       ierr = MatSetBlockSizes(C,rbs,cbs);CHKERRQ(ierr);
2303       ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2304       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
2305     }
2306     c = (Mat_SeqAIJ*)C->data;
2307 
2308     /* loop over rows inserting into submatrix */
2309     a_new = c->a;
2310     j_new = c->j;
2311     i_new = c->i;
2312 
2313     for (i=0; i<nrows; i++) {
2314       ii    = starts[i];
2315       lensi = lens[i];
2316       for (k=0; k<lensi; k++) {
2317         *j_new++ = aj[ii+k] - first;
2318       }
2319       ierr       = PetscMemcpy(a_new,a->a + starts[i],lensi*sizeof(PetscScalar));CHKERRQ(ierr);
2320       a_new     += lensi;
2321       i_new[i+1] = i_new[i] + lensi;
2322       c->ilen[i] = lensi;
2323     }
2324     ierr = PetscFree2(lens,starts);CHKERRQ(ierr);
2325   } else {
2326     ierr = ISGetIndices(iscol,&icol);CHKERRQ(ierr);
2327     ierr = PetscCalloc1(oldcols,&smap);CHKERRQ(ierr);
2328     ierr = PetscMalloc1(1+nrows,&lens);CHKERRQ(ierr);
2329     for (i=0; i<ncols; i++) {
2330 #if defined(PETSC_USE_DEBUG)
2331       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);
2332 #endif
2333       smap[icol[i]] = i+1;
2334     }
2335 
2336     /* determine lens of each row */
2337     for (i=0; i<nrows; i++) {
2338       kstart  = ai[irow[i]];
2339       kend    = kstart + a->ilen[irow[i]];
2340       lens[i] = 0;
2341       for (k=kstart; k<kend; k++) {
2342         if (smap[aj[k]]) {
2343           lens[i]++;
2344         }
2345       }
2346     }
2347     /* Create and fill new matrix */
2348     if (scall == MAT_REUSE_MATRIX) {
2349       PetscBool equal;
2350 
2351       c = (Mat_SeqAIJ*)((*B)->data);
2352       if ((*B)->rmap->n  != nrows || (*B)->cmap->n != ncols) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong size");
2353       ierr = PetscMemcmp(c->ilen,lens,(*B)->rmap->n*sizeof(PetscInt),&equal);CHKERRQ(ierr);
2354       if (!equal) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong no of nonzeros");
2355       ierr = PetscMemzero(c->ilen,(*B)->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
2356       C    = *B;
2357     } else {
2358       PetscInt rbs,cbs;
2359       ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2360       ierr = MatSetSizes(C,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2361       ierr = ISGetBlockSize(isrow,&rbs);CHKERRQ(ierr);
2362       ierr = ISGetBlockSize(iscol,&cbs);CHKERRQ(ierr);
2363       ierr = MatSetBlockSizes(C,rbs,cbs);CHKERRQ(ierr);
2364       ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2365       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
2366     }
2367     c = (Mat_SeqAIJ*)(C->data);
2368     for (i=0; i<nrows; i++) {
2369       row      = irow[i];
2370       kstart   = ai[row];
2371       kend     = kstart + a->ilen[row];
2372       mat_i    = c->i[i];
2373       mat_j    = c->j + mat_i;
2374       mat_a    = c->a + mat_i;
2375       mat_ilen = c->ilen + i;
2376       for (k=kstart; k<kend; k++) {
2377         if ((tcol=smap[a->j[k]])) {
2378           *mat_j++ = tcol - 1;
2379           *mat_a++ = a->a[k];
2380           (*mat_ilen)++;
2381 
2382         }
2383       }
2384     }
2385     /* Free work space */
2386     ierr = ISRestoreIndices(iscol,&icol);CHKERRQ(ierr);
2387     ierr = PetscFree(smap);CHKERRQ(ierr);
2388     ierr = PetscFree(lens);CHKERRQ(ierr);
2389     /* sort */
2390     for (i = 0; i < nrows; i++) {
2391       PetscInt ilen;
2392 
2393       mat_i = c->i[i];
2394       mat_j = c->j + mat_i;
2395       mat_a = c->a + mat_i;
2396       ilen  = c->ilen[i];
2397       ierr  = PetscSortIntWithMatScalarArray(ilen,mat_j,mat_a);CHKERRQ(ierr);
2398     }
2399   }
2400   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2401   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2402 
2403   ierr = ISRestoreIndices(isrow,&irow);CHKERRQ(ierr);
2404   *B   = C;
2405   PetscFunctionReturn(0);
2406 }
2407 
2408 #undef __FUNCT__
2409 #define __FUNCT__ "MatGetMultiProcBlock_SeqAIJ"
2410 PetscErrorCode  MatGetMultiProcBlock_SeqAIJ(Mat mat,MPI_Comm subComm,MatReuse scall,Mat *subMat)
2411 {
2412   PetscErrorCode ierr;
2413   Mat            B;
2414 
2415   PetscFunctionBegin;
2416   if (scall == MAT_INITIAL_MATRIX) {
2417     ierr    = MatCreate(subComm,&B);CHKERRQ(ierr);
2418     ierr    = MatSetSizes(B,mat->rmap->n,mat->cmap->n,mat->rmap->n,mat->cmap->n);CHKERRQ(ierr);
2419     ierr    = MatSetBlockSizesFromMats(B,mat,mat);CHKERRQ(ierr);
2420     ierr    = MatSetType(B,MATSEQAIJ);CHKERRQ(ierr);
2421     ierr    = MatDuplicateNoCreate_SeqAIJ(B,mat,MAT_COPY_VALUES,PETSC_TRUE);CHKERRQ(ierr);
2422     *subMat = B;
2423   } else {
2424     ierr = MatCopy_SeqAIJ(mat,*subMat,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
2425   }
2426   PetscFunctionReturn(0);
2427 }
2428 
2429 #undef __FUNCT__
2430 #define __FUNCT__ "MatILUFactor_SeqAIJ"
2431 PetscErrorCode MatILUFactor_SeqAIJ(Mat inA,IS row,IS col,const MatFactorInfo *info)
2432 {
2433   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)inA->data;
2434   PetscErrorCode ierr;
2435   Mat            outA;
2436   PetscBool      row_identity,col_identity;
2437 
2438   PetscFunctionBegin;
2439   if (info->levels != 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only levels=0 supported for in-place ilu");
2440 
2441   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
2442   ierr = ISIdentity(col,&col_identity);CHKERRQ(ierr);
2443 
2444   outA             = inA;
2445   outA->factortype = MAT_FACTOR_LU;
2446 
2447   ierr = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
2448   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
2449 
2450   a->row = row;
2451 
2452   ierr = PetscObjectReference((PetscObject)col);CHKERRQ(ierr);
2453   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
2454 
2455   a->col = col;
2456 
2457   /* Create the inverse permutation so that it can be used in MatLUFactorNumeric() */
2458   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
2459   ierr = ISInvertPermutation(col,PETSC_DECIDE,&a->icol);CHKERRQ(ierr);
2460   ierr = PetscLogObjectParent((PetscObject)inA,(PetscObject)a->icol);CHKERRQ(ierr);
2461 
2462   if (!a->solve_work) { /* this matrix may have been factored before */
2463     ierr = PetscMalloc1(inA->rmap->n+1,&a->solve_work);CHKERRQ(ierr);
2464     ierr = PetscLogObjectMemory((PetscObject)inA, (inA->rmap->n+1)*sizeof(PetscScalar));CHKERRQ(ierr);
2465   }
2466 
2467   ierr = MatMarkDiagonal_SeqAIJ(inA);CHKERRQ(ierr);
2468   if (row_identity && col_identity) {
2469     ierr = MatLUFactorNumeric_SeqAIJ_inplace(outA,inA,info);CHKERRQ(ierr);
2470   } else {
2471     ierr = MatLUFactorNumeric_SeqAIJ_InplaceWithPerm(outA,inA,info);CHKERRQ(ierr);
2472   }
2473   PetscFunctionReturn(0);
2474 }
2475 
2476 #undef __FUNCT__
2477 #define __FUNCT__ "MatScale_SeqAIJ"
2478 PetscErrorCode MatScale_SeqAIJ(Mat inA,PetscScalar alpha)
2479 {
2480   Mat_SeqAIJ     *a     = (Mat_SeqAIJ*)inA->data;
2481   PetscScalar    oalpha = alpha;
2482   PetscErrorCode ierr;
2483   PetscBLASInt   one = 1,bnz;
2484 
2485   PetscFunctionBegin;
2486   ierr = PetscBLASIntCast(a->nz,&bnz);CHKERRQ(ierr);
2487   PetscStackCallBLAS("BLASscal",BLASscal_(&bnz,&oalpha,a->a,&one));
2488   ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
2489   ierr = MatSeqAIJInvalidateDiagonal(inA);CHKERRQ(ierr);
2490   PetscFunctionReturn(0);
2491 }
2492 
2493 #undef __FUNCT__
2494 #define __FUNCT__ "MatGetSubMatrices_SeqAIJ"
2495 PetscErrorCode MatGetSubMatrices_SeqAIJ(Mat A,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
2496 {
2497   PetscErrorCode ierr;
2498   PetscInt       i;
2499 
2500   PetscFunctionBegin;
2501   if (scall == MAT_INITIAL_MATRIX) {
2502     ierr = PetscMalloc1(n+1,B);CHKERRQ(ierr);
2503   }
2504 
2505   for (i=0; i<n; i++) {
2506     ierr = MatGetSubMatrix_SeqAIJ(A,irow[i],icol[i],PETSC_DECIDE,scall,&(*B)[i]);CHKERRQ(ierr);
2507   }
2508   PetscFunctionReturn(0);
2509 }
2510 
2511 #undef __FUNCT__
2512 #define __FUNCT__ "MatIncreaseOverlap_SeqAIJ"
2513 PetscErrorCode MatIncreaseOverlap_SeqAIJ(Mat A,PetscInt is_max,IS is[],PetscInt ov)
2514 {
2515   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2516   PetscErrorCode ierr;
2517   PetscInt       row,i,j,k,l,m,n,*nidx,isz,val;
2518   const PetscInt *idx;
2519   PetscInt       start,end,*ai,*aj;
2520   PetscBT        table;
2521 
2522   PetscFunctionBegin;
2523   m  = A->rmap->n;
2524   ai = a->i;
2525   aj = a->j;
2526 
2527   if (ov < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"illegal negative overlap value used");
2528 
2529   ierr = PetscMalloc1(m+1,&nidx);CHKERRQ(ierr);
2530   ierr = PetscBTCreate(m,&table);CHKERRQ(ierr);
2531 
2532   for (i=0; i<is_max; i++) {
2533     /* Initialize the two local arrays */
2534     isz  = 0;
2535     ierr = PetscBTMemzero(m,table);CHKERRQ(ierr);
2536 
2537     /* Extract the indices, assume there can be duplicate entries */
2538     ierr = ISGetIndices(is[i],&idx);CHKERRQ(ierr);
2539     ierr = ISGetLocalSize(is[i],&n);CHKERRQ(ierr);
2540 
2541     /* Enter these into the temp arrays. I.e., mark table[row], enter row into new index */
2542     for (j=0; j<n; ++j) {
2543       if (!PetscBTLookupSet(table,idx[j])) nidx[isz++] = idx[j];
2544     }
2545     ierr = ISRestoreIndices(is[i],&idx);CHKERRQ(ierr);
2546     ierr = ISDestroy(&is[i]);CHKERRQ(ierr);
2547 
2548     k = 0;
2549     for (j=0; j<ov; j++) { /* for each overlap */
2550       n = isz;
2551       for (; k<n; k++) { /* do only those rows in nidx[k], which are not done yet */
2552         row   = nidx[k];
2553         start = ai[row];
2554         end   = ai[row+1];
2555         for (l = start; l<end; l++) {
2556           val = aj[l];
2557           if (!PetscBTLookupSet(table,val)) nidx[isz++] = val;
2558         }
2559       }
2560     }
2561     ierr = ISCreateGeneral(PETSC_COMM_SELF,isz,nidx,PETSC_COPY_VALUES,(is+i));CHKERRQ(ierr);
2562   }
2563   ierr = PetscBTDestroy(&table);CHKERRQ(ierr);
2564   ierr = PetscFree(nidx);CHKERRQ(ierr);
2565   PetscFunctionReturn(0);
2566 }
2567 
2568 /* -------------------------------------------------------------- */
2569 #undef __FUNCT__
2570 #define __FUNCT__ "MatPermute_SeqAIJ"
2571 PetscErrorCode MatPermute_SeqAIJ(Mat A,IS rowp,IS colp,Mat *B)
2572 {
2573   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2574   PetscErrorCode ierr;
2575   PetscInt       i,nz = 0,m = A->rmap->n,n = A->cmap->n;
2576   const PetscInt *row,*col;
2577   PetscInt       *cnew,j,*lens;
2578   IS             icolp,irowp;
2579   PetscInt       *cwork = NULL;
2580   PetscScalar    *vwork = NULL;
2581 
2582   PetscFunctionBegin;
2583   ierr = ISInvertPermutation(rowp,PETSC_DECIDE,&irowp);CHKERRQ(ierr);
2584   ierr = ISGetIndices(irowp,&row);CHKERRQ(ierr);
2585   ierr = ISInvertPermutation(colp,PETSC_DECIDE,&icolp);CHKERRQ(ierr);
2586   ierr = ISGetIndices(icolp,&col);CHKERRQ(ierr);
2587 
2588   /* determine lengths of permuted rows */
2589   ierr = PetscMalloc1(m+1,&lens);CHKERRQ(ierr);
2590   for (i=0; i<m; i++) lens[row[i]] = a->i[i+1] - a->i[i];
2591   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
2592   ierr = MatSetSizes(*B,m,n,m,n);CHKERRQ(ierr);
2593   ierr = MatSetBlockSizesFromMats(*B,A,A);CHKERRQ(ierr);
2594   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2595   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*B,0,lens);CHKERRQ(ierr);
2596   ierr = PetscFree(lens);CHKERRQ(ierr);
2597 
2598   ierr = PetscMalloc1(n,&cnew);CHKERRQ(ierr);
2599   for (i=0; i<m; i++) {
2600     ierr = MatGetRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2601     for (j=0; j<nz; j++) cnew[j] = col[cwork[j]];
2602     ierr = MatSetValues_SeqAIJ(*B,1,&row[i],nz,cnew,vwork,INSERT_VALUES);CHKERRQ(ierr);
2603     ierr = MatRestoreRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2604   }
2605   ierr = PetscFree(cnew);CHKERRQ(ierr);
2606 
2607   (*B)->assembled = PETSC_FALSE;
2608 
2609   ierr = MatAssemblyBegin(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2610   ierr = MatAssemblyEnd(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2611   ierr = ISRestoreIndices(irowp,&row);CHKERRQ(ierr);
2612   ierr = ISRestoreIndices(icolp,&col);CHKERRQ(ierr);
2613   ierr = ISDestroy(&irowp);CHKERRQ(ierr);
2614   ierr = ISDestroy(&icolp);CHKERRQ(ierr);
2615   PetscFunctionReturn(0);
2616 }
2617 
2618 #undef __FUNCT__
2619 #define __FUNCT__ "MatCopy_SeqAIJ"
2620 PetscErrorCode MatCopy_SeqAIJ(Mat A,Mat B,MatStructure str)
2621 {
2622   PetscErrorCode ierr;
2623 
2624   PetscFunctionBegin;
2625   /* If the two matrices have the same copy implementation, use fast copy. */
2626   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
2627     Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2628     Mat_SeqAIJ *b = (Mat_SeqAIJ*)B->data;
2629 
2630     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");
2631     ierr = PetscMemcpy(b->a,a->a,(a->i[A->rmap->n])*sizeof(PetscScalar));CHKERRQ(ierr);
2632   } else {
2633     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
2634   }
2635   PetscFunctionReturn(0);
2636 }
2637 
2638 #undef __FUNCT__
2639 #define __FUNCT__ "MatSetUp_SeqAIJ"
2640 PetscErrorCode MatSetUp_SeqAIJ(Mat A)
2641 {
2642   PetscErrorCode ierr;
2643 
2644   PetscFunctionBegin;
2645   ierr =  MatSeqAIJSetPreallocation_SeqAIJ(A,PETSC_DEFAULT,0);CHKERRQ(ierr);
2646   PetscFunctionReturn(0);
2647 }
2648 
2649 #undef __FUNCT__
2650 #define __FUNCT__ "MatSeqAIJGetArray_SeqAIJ"
2651 PetscErrorCode MatSeqAIJGetArray_SeqAIJ(Mat A,PetscScalar *array[])
2652 {
2653   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2654 
2655   PetscFunctionBegin;
2656   *array = a->a;
2657   PetscFunctionReturn(0);
2658 }
2659 
2660 #undef __FUNCT__
2661 #define __FUNCT__ "MatSeqAIJRestoreArray_SeqAIJ"
2662 PetscErrorCode MatSeqAIJRestoreArray_SeqAIJ(Mat A,PetscScalar *array[])
2663 {
2664   PetscFunctionBegin;
2665   PetscFunctionReturn(0);
2666 }
2667 
2668 /*
2669    Computes the number of nonzeros per row needed for preallocation when X and Y
2670    have different nonzero structure.
2671 */
2672 #undef __FUNCT__
2673 #define __FUNCT__ "MatAXPYGetPreallocation_SeqX_private"
2674 PetscErrorCode MatAXPYGetPreallocation_SeqX_private(PetscInt m,const PetscInt *xi,const PetscInt *xj,const PetscInt *yi,const PetscInt *yj,PetscInt *nnz)
2675 {
2676   PetscInt       i,j,k,nzx,nzy;
2677 
2678   PetscFunctionBegin;
2679   /* Set the number of nonzeros in the new matrix */
2680   for (i=0; i<m; i++) {
2681     const PetscInt *xjj = xj+xi[i],*yjj = yj+yi[i];
2682     nzx = xi[i+1] - xi[i];
2683     nzy = yi[i+1] - yi[i];
2684     nnz[i] = 0;
2685     for (j=0,k=0; j<nzx; j++) {                   /* Point in X */
2686       for (; k<nzy && yjj[k]<xjj[j]; k++) nnz[i]++; /* Catch up to X */
2687       if (k<nzy && yjj[k]==xjj[j]) k++;             /* Skip duplicate */
2688       nnz[i]++;
2689     }
2690     for (; k<nzy; k++) nnz[i]++;
2691   }
2692   PetscFunctionReturn(0);
2693 }
2694 
2695 #undef __FUNCT__
2696 #define __FUNCT__ "MatAXPYGetPreallocation_SeqAIJ"
2697 PetscErrorCode MatAXPYGetPreallocation_SeqAIJ(Mat Y,Mat X,PetscInt *nnz)
2698 {
2699   PetscInt       m = Y->rmap->N;
2700   Mat_SeqAIJ     *x = (Mat_SeqAIJ*)X->data;
2701   Mat_SeqAIJ     *y = (Mat_SeqAIJ*)Y->data;
2702   PetscErrorCode ierr;
2703 
2704   PetscFunctionBegin;
2705   /* Set the number of nonzeros in the new matrix */
2706   ierr = MatAXPYGetPreallocation_SeqX_private(m,x->i,x->j,y->i,y->j,nnz);CHKERRQ(ierr);
2707   PetscFunctionReturn(0);
2708 }
2709 
2710 #undef __FUNCT__
2711 #define __FUNCT__ "MatAXPY_SeqAIJ"
2712 PetscErrorCode MatAXPY_SeqAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
2713 {
2714   PetscErrorCode ierr;
2715   Mat_SeqAIJ     *x = (Mat_SeqAIJ*)X->data,*y = (Mat_SeqAIJ*)Y->data;
2716   PetscBLASInt   one=1,bnz;
2717 
2718   PetscFunctionBegin;
2719   ierr = PetscBLASIntCast(x->nz,&bnz);CHKERRQ(ierr);
2720   if (str == SAME_NONZERO_PATTERN) {
2721     PetscScalar alpha = a;
2722     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
2723     ierr = MatSeqAIJInvalidateDiagonal(Y);CHKERRQ(ierr);
2724     ierr = PetscObjectStateIncrease((PetscObject)Y);CHKERRQ(ierr);
2725   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
2726     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
2727   } else {
2728     Mat      B;
2729     PetscInt *nnz;
2730     ierr = PetscMalloc1(Y->rmap->N,&nnz);CHKERRQ(ierr);
2731     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
2732     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
2733     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
2734     ierr = MatSetBlockSizesFromMats(B,Y,Y);CHKERRQ(ierr);
2735     ierr = MatSetType(B,(MatType) ((PetscObject)Y)->type_name);CHKERRQ(ierr);
2736     ierr = MatAXPYGetPreallocation_SeqAIJ(Y,X,nnz);CHKERRQ(ierr);
2737     ierr = MatSeqAIJSetPreallocation(B,0,nnz);CHKERRQ(ierr);
2738     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
2739     ierr = MatHeaderReplace(Y,&B);CHKERRQ(ierr);
2740     ierr = PetscFree(nnz);CHKERRQ(ierr);
2741   }
2742   PetscFunctionReturn(0);
2743 }
2744 
2745 #undef __FUNCT__
2746 #define __FUNCT__ "MatConjugate_SeqAIJ"
2747 PetscErrorCode  MatConjugate_SeqAIJ(Mat mat)
2748 {
2749 #if defined(PETSC_USE_COMPLEX)
2750   Mat_SeqAIJ  *aij = (Mat_SeqAIJ*)mat->data;
2751   PetscInt    i,nz;
2752   PetscScalar *a;
2753 
2754   PetscFunctionBegin;
2755   nz = aij->nz;
2756   a  = aij->a;
2757   for (i=0; i<nz; i++) a[i] = PetscConj(a[i]);
2758 #else
2759   PetscFunctionBegin;
2760 #endif
2761   PetscFunctionReturn(0);
2762 }
2763 
2764 #undef __FUNCT__
2765 #define __FUNCT__ "MatGetRowMaxAbs_SeqAIJ"
2766 PetscErrorCode MatGetRowMaxAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2767 {
2768   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2769   PetscErrorCode ierr;
2770   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2771   PetscReal      atmp;
2772   PetscScalar    *x;
2773   MatScalar      *aa;
2774 
2775   PetscFunctionBegin;
2776   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2777   aa = a->a;
2778   ai = a->i;
2779   aj = a->j;
2780 
2781   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2782   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2783   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2784   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2785   for (i=0; i<m; i++) {
2786     ncols = ai[1] - ai[0]; ai++;
2787     x[i]  = 0.0;
2788     for (j=0; j<ncols; j++) {
2789       atmp = PetscAbsScalar(*aa);
2790       if (PetscAbsScalar(x[i]) < atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
2791       aa++; aj++;
2792     }
2793   }
2794   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2795   PetscFunctionReturn(0);
2796 }
2797 
2798 #undef __FUNCT__
2799 #define __FUNCT__ "MatGetRowMax_SeqAIJ"
2800 PetscErrorCode MatGetRowMax_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2801 {
2802   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2803   PetscErrorCode ierr;
2804   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2805   PetscScalar    *x;
2806   MatScalar      *aa;
2807 
2808   PetscFunctionBegin;
2809   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2810   aa = a->a;
2811   ai = a->i;
2812   aj = a->j;
2813 
2814   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2815   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2816   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2817   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2818   for (i=0; i<m; i++) {
2819     ncols = ai[1] - ai[0]; ai++;
2820     if (ncols == A->cmap->n) { /* row is dense */
2821       x[i] = *aa; if (idx) idx[i] = 0;
2822     } else {  /* row is sparse so already KNOW maximum is 0.0 or higher */
2823       x[i] = 0.0;
2824       if (idx) {
2825         idx[i] = 0; /* in case ncols is zero */
2826         for (j=0;j<ncols;j++) { /* find first implicit 0.0 in the row */
2827           if (aj[j] > j) {
2828             idx[i] = j;
2829             break;
2830           }
2831         }
2832       }
2833     }
2834     for (j=0; j<ncols; j++) {
2835       if (PetscRealPart(x[i]) < PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
2836       aa++; aj++;
2837     }
2838   }
2839   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2840   PetscFunctionReturn(0);
2841 }
2842 
2843 #undef __FUNCT__
2844 #define __FUNCT__ "MatGetRowMinAbs_SeqAIJ"
2845 PetscErrorCode MatGetRowMinAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2846 {
2847   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2848   PetscErrorCode ierr;
2849   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2850   PetscReal      atmp;
2851   PetscScalar    *x;
2852   MatScalar      *aa;
2853 
2854   PetscFunctionBegin;
2855   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2856   aa = a->a;
2857   ai = a->i;
2858   aj = a->j;
2859 
2860   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2861   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2862   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2863   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);
2864   for (i=0; i<m; i++) {
2865     ncols = ai[1] - ai[0]; ai++;
2866     if (ncols) {
2867       /* Get first nonzero */
2868       for (j = 0; j < ncols; j++) {
2869         atmp = PetscAbsScalar(aa[j]);
2870         if (atmp > 1.0e-12) {
2871           x[i] = atmp;
2872           if (idx) idx[i] = aj[j];
2873           break;
2874         }
2875       }
2876       if (j == ncols) {x[i] = PetscAbsScalar(*aa); if (idx) idx[i] = *aj;}
2877     } else {
2878       x[i] = 0.0; if (idx) idx[i] = 0;
2879     }
2880     for (j = 0; j < ncols; j++) {
2881       atmp = PetscAbsScalar(*aa);
2882       if (atmp > 1.0e-12 && PetscAbsScalar(x[i]) > atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
2883       aa++; aj++;
2884     }
2885   }
2886   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2887   PetscFunctionReturn(0);
2888 }
2889 
2890 #undef __FUNCT__
2891 #define __FUNCT__ "MatGetRowMin_SeqAIJ"
2892 PetscErrorCode MatGetRowMin_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2893 {
2894   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
2895   PetscErrorCode  ierr;
2896   PetscInt        i,j,m = A->rmap->n,ncols,n;
2897   const PetscInt  *ai,*aj;
2898   PetscScalar     *x;
2899   const MatScalar *aa;
2900 
2901   PetscFunctionBegin;
2902   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2903   aa = a->a;
2904   ai = a->i;
2905   aj = a->j;
2906 
2907   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2908   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2909   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2910   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2911   for (i=0; i<m; i++) {
2912     ncols = ai[1] - ai[0]; ai++;
2913     if (ncols == A->cmap->n) { /* row is dense */
2914       x[i] = *aa; if (idx) idx[i] = 0;
2915     } else {  /* row is sparse so already KNOW minimum is 0.0 or lower */
2916       x[i] = 0.0;
2917       if (idx) {   /* find first implicit 0.0 in the row */
2918         idx[i] = 0; /* in case ncols is zero */
2919         for (j=0; j<ncols; j++) {
2920           if (aj[j] > j) {
2921             idx[i] = j;
2922             break;
2923           }
2924         }
2925       }
2926     }
2927     for (j=0; j<ncols; j++) {
2928       if (PetscRealPart(x[i]) > PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
2929       aa++; aj++;
2930     }
2931   }
2932   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2933   PetscFunctionReturn(0);
2934 }
2935 
2936 #include <petscblaslapack.h>
2937 #include <petsc/private/kernels/blockinvert.h>
2938 
2939 #undef __FUNCT__
2940 #define __FUNCT__ "MatInvertBlockDiagonal_SeqAIJ"
2941 PetscErrorCode MatInvertBlockDiagonal_SeqAIJ(Mat A,const PetscScalar **values)
2942 {
2943   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
2944   PetscErrorCode ierr;
2945   PetscInt       i,bs = PetscAbs(A->rmap->bs),mbs = A->rmap->n/bs,ipvt[5],bs2 = bs*bs,*v_pivots,ij[7],*IJ,j;
2946   MatScalar      *diag,work[25],*v_work;
2947   PetscReal      shift = 0.0;
2948   PetscBool      allowzeropivot,zeropivotdetected=PETSC_FALSE;
2949 
2950   PetscFunctionBegin;
2951   allowzeropivot = PetscNot(A->erroriffailure);
2952   if (a->ibdiagvalid) {
2953     if (values) *values = a->ibdiag;
2954     PetscFunctionReturn(0);
2955   }
2956   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
2957   if (!a->ibdiag) {
2958     ierr = PetscMalloc1(bs2*mbs,&a->ibdiag);CHKERRQ(ierr);
2959     ierr = PetscLogObjectMemory((PetscObject)A,bs2*mbs*sizeof(PetscScalar));CHKERRQ(ierr);
2960   }
2961   diag = a->ibdiag;
2962   if (values) *values = a->ibdiag;
2963   /* factor and invert each block */
2964   switch (bs) {
2965   case 1:
2966     for (i=0; i<mbs; i++) {
2967       ierr    = MatGetValues(A,1,&i,1,&i,diag+i);CHKERRQ(ierr);
2968       if (PetscAbsScalar(diag[i] + shift) < PETSC_MACHINE_EPSILON) {
2969         if (allowzeropivot) {
2970           A->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
2971           ierr = PetscInfo1(A,"Zero pivot, row %D\n",i);CHKERRQ(ierr);
2972         } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_MAT_LU_ZRPVT,"Zero pivot, row %D",i);
2973       }
2974       diag[i] = (PetscScalar)1.0 / (diag[i] + shift);
2975     }
2976     break;
2977   case 2:
2978     for (i=0; i<mbs; i++) {
2979       ij[0] = 2*i; ij[1] = 2*i + 1;
2980       ierr  = MatGetValues(A,2,ij,2,ij,diag);CHKERRQ(ierr);
2981       ierr  = PetscKernel_A_gets_inverse_A_2(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
2982       if (zeropivotdetected) A->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
2983       ierr  = PetscKernel_A_gets_transpose_A_2(diag);CHKERRQ(ierr);
2984       diag += 4;
2985     }
2986     break;
2987   case 3:
2988     for (i=0; i<mbs; i++) {
2989       ij[0] = 3*i; ij[1] = 3*i + 1; ij[2] = 3*i + 2;
2990       ierr  = MatGetValues(A,3,ij,3,ij,diag);CHKERRQ(ierr);
2991       ierr  = PetscKernel_A_gets_inverse_A_3(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
2992       if (zeropivotdetected) A->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
2993       ierr  = PetscKernel_A_gets_transpose_A_3(diag);CHKERRQ(ierr);
2994       diag += 9;
2995     }
2996     break;
2997   case 4:
2998     for (i=0; i<mbs; i++) {
2999       ij[0] = 4*i; ij[1] = 4*i + 1; ij[2] = 4*i + 2; ij[3] = 4*i + 3;
3000       ierr  = MatGetValues(A,4,ij,4,ij,diag);CHKERRQ(ierr);
3001       ierr  = PetscKernel_A_gets_inverse_A_4(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3002       if (zeropivotdetected) A->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3003       ierr  = PetscKernel_A_gets_transpose_A_4(diag);CHKERRQ(ierr);
3004       diag += 16;
3005     }
3006     break;
3007   case 5:
3008     for (i=0; i<mbs; i++) {
3009       ij[0] = 5*i; ij[1] = 5*i + 1; ij[2] = 5*i + 2; ij[3] = 5*i + 3; ij[4] = 5*i + 4;
3010       ierr  = MatGetValues(A,5,ij,5,ij,diag);CHKERRQ(ierr);
3011       ierr  = PetscKernel_A_gets_inverse_A_5(diag,ipvt,work,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3012       if (zeropivotdetected) A->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3013       ierr  = PetscKernel_A_gets_transpose_A_5(diag);CHKERRQ(ierr);
3014       diag += 25;
3015     }
3016     break;
3017   case 6:
3018     for (i=0; i<mbs; i++) {
3019       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;
3020       ierr  = MatGetValues(A,6,ij,6,ij,diag);CHKERRQ(ierr);
3021       ierr  = PetscKernel_A_gets_inverse_A_6(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3022       if (zeropivotdetected) A->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3023       ierr  = PetscKernel_A_gets_transpose_A_6(diag);CHKERRQ(ierr);
3024       diag += 36;
3025     }
3026     break;
3027   case 7:
3028     for (i=0; i<mbs; i++) {
3029       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;
3030       ierr  = MatGetValues(A,7,ij,7,ij,diag);CHKERRQ(ierr);
3031       ierr  = PetscKernel_A_gets_inverse_A_7(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3032       if (zeropivotdetected) A->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3033       ierr  = PetscKernel_A_gets_transpose_A_7(diag);CHKERRQ(ierr);
3034       diag += 49;
3035     }
3036     break;
3037   default:
3038     ierr = PetscMalloc3(bs,&v_work,bs,&v_pivots,bs,&IJ);CHKERRQ(ierr);
3039     for (i=0; i<mbs; i++) {
3040       for (j=0; j<bs; j++) {
3041         IJ[j] = bs*i + j;
3042       }
3043       ierr  = MatGetValues(A,bs,IJ,bs,IJ,diag);CHKERRQ(ierr);
3044       ierr  = PetscKernel_A_gets_inverse_A(bs,diag,v_pivots,v_work,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3045       if (zeropivotdetected) A->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3046       ierr  = PetscKernel_A_gets_transpose_A_N(diag,bs);CHKERRQ(ierr);
3047       diag += bs2;
3048     }
3049     ierr = PetscFree3(v_work,v_pivots,IJ);CHKERRQ(ierr);
3050   }
3051   a->ibdiagvalid = PETSC_TRUE;
3052   PetscFunctionReturn(0);
3053 }
3054 
3055 #undef __FUNCT__
3056 #define __FUNCT__ "MatSetRandom_SeqAIJ"
3057 static PetscErrorCode  MatSetRandom_SeqAIJ(Mat x,PetscRandom rctx)
3058 {
3059   PetscErrorCode ierr;
3060   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)x->data;
3061   PetscScalar    a;
3062   PetscInt       m,n,i,j,col;
3063 
3064   PetscFunctionBegin;
3065   if (!x->assembled) {
3066     ierr = MatGetSize(x,&m,&n);CHKERRQ(ierr);
3067     for (i=0; i<m; i++) {
3068       for (j=0; j<aij->imax[i]; j++) {
3069         ierr = PetscRandomGetValue(rctx,&a);CHKERRQ(ierr);
3070         col  = (PetscInt)(n*PetscRealPart(a));
3071         ierr = MatSetValues(x,1,&i,1,&col,&a,ADD_VALUES);CHKERRQ(ierr);
3072       }
3073     }
3074   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet coded");
3075   ierr = MatAssemblyBegin(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3076   ierr = MatAssemblyEnd(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3077   PetscFunctionReturn(0);
3078 }
3079 
3080 #undef __FUNCT__
3081 #define __FUNCT__ "MatShift_SeqAIJ"
3082 PetscErrorCode MatShift_SeqAIJ(Mat Y,PetscScalar a)
3083 {
3084   PetscErrorCode ierr;
3085   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)Y->data;
3086 
3087   PetscFunctionBegin;
3088   if (!Y->preallocated || !aij->nz) {
3089     ierr = MatSeqAIJSetPreallocation(Y,1,NULL);CHKERRQ(ierr);
3090   }
3091   ierr = MatShift_Basic(Y,a);CHKERRQ(ierr);
3092   PetscFunctionReturn(0);
3093 }
3094 
3095 /* -------------------------------------------------------------------*/
3096 static struct _MatOps MatOps_Values = { MatSetValues_SeqAIJ,
3097                                         MatGetRow_SeqAIJ,
3098                                         MatRestoreRow_SeqAIJ,
3099                                         MatMult_SeqAIJ,
3100                                 /*  4*/ MatMultAdd_SeqAIJ,
3101                                         MatMultTranspose_SeqAIJ,
3102                                         MatMultTransposeAdd_SeqAIJ,
3103                                         0,
3104                                         0,
3105                                         0,
3106                                 /* 10*/ 0,
3107                                         MatLUFactor_SeqAIJ,
3108                                         0,
3109                                         MatSOR_SeqAIJ,
3110                                         MatTranspose_SeqAIJ,
3111                                 /*1 5*/ MatGetInfo_SeqAIJ,
3112                                         MatEqual_SeqAIJ,
3113                                         MatGetDiagonal_SeqAIJ,
3114                                         MatDiagonalScale_SeqAIJ,
3115                                         MatNorm_SeqAIJ,
3116                                 /* 20*/ 0,
3117                                         MatAssemblyEnd_SeqAIJ,
3118                                         MatSetOption_SeqAIJ,
3119                                         MatZeroEntries_SeqAIJ,
3120                                 /* 24*/ MatZeroRows_SeqAIJ,
3121                                         0,
3122                                         0,
3123                                         0,
3124                                         0,
3125                                 /* 29*/ MatSetUp_SeqAIJ,
3126                                         0,
3127                                         0,
3128                                         0,
3129                                         0,
3130                                 /* 34*/ MatDuplicate_SeqAIJ,
3131                                         0,
3132                                         0,
3133                                         MatILUFactor_SeqAIJ,
3134                                         0,
3135                                 /* 39*/ MatAXPY_SeqAIJ,
3136                                         MatGetSubMatrices_SeqAIJ,
3137                                         MatIncreaseOverlap_SeqAIJ,
3138                                         MatGetValues_SeqAIJ,
3139                                         MatCopy_SeqAIJ,
3140                                 /* 44*/ MatGetRowMax_SeqAIJ,
3141                                         MatScale_SeqAIJ,
3142                                         MatShift_SeqAIJ,
3143                                         MatDiagonalSet_SeqAIJ,
3144                                         MatZeroRowsColumns_SeqAIJ,
3145                                 /* 49*/ MatSetRandom_SeqAIJ,
3146                                         MatGetRowIJ_SeqAIJ,
3147                                         MatRestoreRowIJ_SeqAIJ,
3148                                         MatGetColumnIJ_SeqAIJ,
3149                                         MatRestoreColumnIJ_SeqAIJ,
3150                                 /* 54*/ MatFDColoringCreate_SeqXAIJ,
3151                                         0,
3152                                         0,
3153                                         MatPermute_SeqAIJ,
3154                                         0,
3155                                 /* 59*/ 0,
3156                                         MatDestroy_SeqAIJ,
3157                                         MatView_SeqAIJ,
3158                                         0,
3159                                         MatMatMatMult_SeqAIJ_SeqAIJ_SeqAIJ,
3160                                 /* 64*/ MatMatMatMultSymbolic_SeqAIJ_SeqAIJ_SeqAIJ,
3161                                         MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqAIJ,
3162                                         0,
3163                                         0,
3164                                         0,
3165                                 /* 69*/ MatGetRowMaxAbs_SeqAIJ,
3166                                         MatGetRowMinAbs_SeqAIJ,
3167                                         0,
3168                                         MatSetColoring_SeqAIJ,
3169                                         0,
3170                                 /* 74*/ MatSetValuesAdifor_SeqAIJ,
3171                                         MatFDColoringApply_AIJ,
3172                                         0,
3173                                         0,
3174                                         0,
3175                                 /* 79*/ MatFindZeroDiagonals_SeqAIJ,
3176                                         0,
3177                                         0,
3178                                         0,
3179                                         MatLoad_SeqAIJ,
3180                                 /* 84*/ MatIsSymmetric_SeqAIJ,
3181                                         MatIsHermitian_SeqAIJ,
3182                                         0,
3183                                         0,
3184                                         0,
3185                                 /* 89*/ MatMatMult_SeqAIJ_SeqAIJ,
3186                                         MatMatMultSymbolic_SeqAIJ_SeqAIJ,
3187                                         MatMatMultNumeric_SeqAIJ_SeqAIJ,
3188                                         MatPtAP_SeqAIJ_SeqAIJ,
3189                                         MatPtAPSymbolic_SeqAIJ_SeqAIJ_DenseAxpy,
3190                                 /* 94*/ MatPtAPNumeric_SeqAIJ_SeqAIJ,
3191                                         MatMatTransposeMult_SeqAIJ_SeqAIJ,
3192                                         MatMatTransposeMultSymbolic_SeqAIJ_SeqAIJ,
3193                                         MatMatTransposeMultNumeric_SeqAIJ_SeqAIJ,
3194                                         0,
3195                                 /* 99*/ 0,
3196                                         0,
3197                                         0,
3198                                         MatConjugate_SeqAIJ,
3199                                         0,
3200                                 /*104*/ MatSetValuesRow_SeqAIJ,
3201                                         MatRealPart_SeqAIJ,
3202                                         MatImaginaryPart_SeqAIJ,
3203                                         0,
3204                                         0,
3205                                 /*109*/ MatMatSolve_SeqAIJ,
3206                                         0,
3207                                         MatGetRowMin_SeqAIJ,
3208                                         0,
3209                                         MatMissingDiagonal_SeqAIJ,
3210                                 /*114*/ 0,
3211                                         0,
3212                                         0,
3213                                         0,
3214                                         0,
3215                                 /*119*/ 0,
3216                                         0,
3217                                         0,
3218                                         0,
3219                                         MatGetMultiProcBlock_SeqAIJ,
3220                                 /*124*/ MatFindNonzeroRows_SeqAIJ,
3221                                         MatGetColumnNorms_SeqAIJ,
3222                                         MatInvertBlockDiagonal_SeqAIJ,
3223                                         0,
3224                                         0,
3225                                 /*129*/ 0,
3226                                         MatTransposeMatMult_SeqAIJ_SeqAIJ,
3227                                         MatTransposeMatMultSymbolic_SeqAIJ_SeqAIJ,
3228                                         MatTransposeMatMultNumeric_SeqAIJ_SeqAIJ,
3229                                         MatTransposeColoringCreate_SeqAIJ,
3230                                 /*134*/ MatTransColoringApplySpToDen_SeqAIJ,
3231                                         MatTransColoringApplyDenToSp_SeqAIJ,
3232                                         MatRARt_SeqAIJ_SeqAIJ,
3233                                         MatRARtSymbolic_SeqAIJ_SeqAIJ,
3234                                         MatRARtNumeric_SeqAIJ_SeqAIJ,
3235                                  /*139*/0,
3236                                         0,
3237                                         0,
3238                                         MatFDColoringSetUp_SeqXAIJ,
3239                                         MatFindOffBlockDiagonalEntries_SeqAIJ,
3240                                  /*144*/MatCreateMPIMatConcatenateSeqMat_SeqAIJ
3241 };
3242 
3243 #undef __FUNCT__
3244 #define __FUNCT__ "MatSeqAIJSetColumnIndices_SeqAIJ"
3245 PetscErrorCode  MatSeqAIJSetColumnIndices_SeqAIJ(Mat mat,PetscInt *indices)
3246 {
3247   Mat_SeqAIJ *aij = (Mat_SeqAIJ*)mat->data;
3248   PetscInt   i,nz,n;
3249 
3250   PetscFunctionBegin;
3251   nz = aij->maxnz;
3252   n  = mat->rmap->n;
3253   for (i=0; i<nz; i++) {
3254     aij->j[i] = indices[i];
3255   }
3256   aij->nz = nz;
3257   for (i=0; i<n; i++) {
3258     aij->ilen[i] = aij->imax[i];
3259   }
3260   PetscFunctionReturn(0);
3261 }
3262 
3263 #undef __FUNCT__
3264 #define __FUNCT__ "MatSeqAIJSetColumnIndices"
3265 /*@
3266     MatSeqAIJSetColumnIndices - Set the column indices for all the rows
3267        in the matrix.
3268 
3269   Input Parameters:
3270 +  mat - the SeqAIJ matrix
3271 -  indices - the column indices
3272 
3273   Level: advanced
3274 
3275   Notes:
3276     This can be called if you have precomputed the nonzero structure of the
3277   matrix and want to provide it to the matrix object to improve the performance
3278   of the MatSetValues() operation.
3279 
3280     You MUST have set the correct numbers of nonzeros per row in the call to
3281   MatCreateSeqAIJ(), and the columns indices MUST be sorted.
3282 
3283     MUST be called before any calls to MatSetValues();
3284 
3285     The indices should start with zero, not one.
3286 
3287 @*/
3288 PetscErrorCode  MatSeqAIJSetColumnIndices(Mat mat,PetscInt *indices)
3289 {
3290   PetscErrorCode ierr;
3291 
3292   PetscFunctionBegin;
3293   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3294   PetscValidPointer(indices,2);
3295   ierr = PetscUseMethod(mat,"MatSeqAIJSetColumnIndices_C",(Mat,PetscInt*),(mat,indices));CHKERRQ(ierr);
3296   PetscFunctionReturn(0);
3297 }
3298 
3299 /* ----------------------------------------------------------------------------------------*/
3300 
3301 #undef __FUNCT__
3302 #define __FUNCT__ "MatStoreValues_SeqAIJ"
3303 PetscErrorCode  MatStoreValues_SeqAIJ(Mat mat)
3304 {
3305   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3306   PetscErrorCode ierr;
3307   size_t         nz = aij->i[mat->rmap->n];
3308 
3309   PetscFunctionBegin;
3310   if (!aij->nonew) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3311 
3312   /* allocate space for values if not already there */
3313   if (!aij->saved_values) {
3314     ierr = PetscMalloc1(nz+1,&aij->saved_values);CHKERRQ(ierr);
3315     ierr = PetscLogObjectMemory((PetscObject)mat,(nz+1)*sizeof(PetscScalar));CHKERRQ(ierr);
3316   }
3317 
3318   /* copy values over */
3319   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3320   PetscFunctionReturn(0);
3321 }
3322 
3323 #undef __FUNCT__
3324 #define __FUNCT__ "MatStoreValues"
3325 /*@
3326     MatStoreValues - Stashes a copy of the matrix values; this allows, for
3327        example, reuse of the linear part of a Jacobian, while recomputing the
3328        nonlinear portion.
3329 
3330    Collect on Mat
3331 
3332   Input Parameters:
3333 .  mat - the matrix (currently only AIJ matrices support this option)
3334 
3335   Level: advanced
3336 
3337   Common Usage, with SNESSolve():
3338 $    Create Jacobian matrix
3339 $    Set linear terms into matrix
3340 $    Apply boundary conditions to matrix, at this time matrix must have
3341 $      final nonzero structure (i.e. setting the nonlinear terms and applying
3342 $      boundary conditions again will not change the nonzero structure
3343 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3344 $    ierr = MatStoreValues(mat);
3345 $    Call SNESSetJacobian() with matrix
3346 $    In your Jacobian routine
3347 $      ierr = MatRetrieveValues(mat);
3348 $      Set nonlinear terms in matrix
3349 
3350   Common Usage without SNESSolve(), i.e. when you handle nonlinear solve yourself:
3351 $    // build linear portion of Jacobian
3352 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3353 $    ierr = MatStoreValues(mat);
3354 $    loop over nonlinear iterations
3355 $       ierr = MatRetrieveValues(mat);
3356 $       // call MatSetValues(mat,...) to set nonliner portion of Jacobian
3357 $       // call MatAssemblyBegin/End() on matrix
3358 $       Solve linear system with Jacobian
3359 $    endloop
3360 
3361   Notes:
3362     Matrix must already be assemblied before calling this routine
3363     Must set the matrix option MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE); before
3364     calling this routine.
3365 
3366     When this is called multiple times it overwrites the previous set of stored values
3367     and does not allocated additional space.
3368 
3369 .seealso: MatRetrieveValues()
3370 
3371 @*/
3372 PetscErrorCode  MatStoreValues(Mat mat)
3373 {
3374   PetscErrorCode ierr;
3375 
3376   PetscFunctionBegin;
3377   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3378   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3379   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3380   ierr = PetscUseMethod(mat,"MatStoreValues_C",(Mat),(mat));CHKERRQ(ierr);
3381   PetscFunctionReturn(0);
3382 }
3383 
3384 #undef __FUNCT__
3385 #define __FUNCT__ "MatRetrieveValues_SeqAIJ"
3386 PetscErrorCode  MatRetrieveValues_SeqAIJ(Mat mat)
3387 {
3388   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3389   PetscErrorCode ierr;
3390   PetscInt       nz = aij->i[mat->rmap->n];
3391 
3392   PetscFunctionBegin;
3393   if (!aij->nonew) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3394   if (!aij->saved_values) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
3395   /* copy values over */
3396   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3397   PetscFunctionReturn(0);
3398 }
3399 
3400 #undef __FUNCT__
3401 #define __FUNCT__ "MatRetrieveValues"
3402 /*@
3403     MatRetrieveValues - Retrieves the copy of the matrix values; this allows, for
3404        example, reuse of the linear part of a Jacobian, while recomputing the
3405        nonlinear portion.
3406 
3407    Collect on Mat
3408 
3409   Input Parameters:
3410 .  mat - the matrix (currently on AIJ matrices support this option)
3411 
3412   Level: advanced
3413 
3414 .seealso: MatStoreValues()
3415 
3416 @*/
3417 PetscErrorCode  MatRetrieveValues(Mat mat)
3418 {
3419   PetscErrorCode ierr;
3420 
3421   PetscFunctionBegin;
3422   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3423   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3424   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3425   ierr = PetscUseMethod(mat,"MatRetrieveValues_C",(Mat),(mat));CHKERRQ(ierr);
3426   PetscFunctionReturn(0);
3427 }
3428 
3429 
3430 /* --------------------------------------------------------------------------------*/
3431 #undef __FUNCT__
3432 #define __FUNCT__ "MatCreateSeqAIJ"
3433 /*@C
3434    MatCreateSeqAIJ - Creates a sparse matrix in AIJ (compressed row) format
3435    (the default parallel PETSc format).  For good matrix assembly performance
3436    the user should preallocate the matrix storage by setting the parameter nz
3437    (or the array nnz).  By setting these parameters accurately, performance
3438    during matrix assembly can be increased by more than a factor of 50.
3439 
3440    Collective on MPI_Comm
3441 
3442    Input Parameters:
3443 +  comm - MPI communicator, set to PETSC_COMM_SELF
3444 .  m - number of rows
3445 .  n - number of columns
3446 .  nz - number of nonzeros per row (same for all rows)
3447 -  nnz - array containing the number of nonzeros in the various rows
3448          (possibly different for each row) or NULL
3449 
3450    Output Parameter:
3451 .  A - the matrix
3452 
3453    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3454    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3455    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3456 
3457    Notes:
3458    If nnz is given then nz is ignored
3459 
3460    The AIJ format (also called the Yale sparse matrix format or
3461    compressed row storage), is fully compatible with standard Fortran 77
3462    storage.  That is, the stored row and column indices can begin at
3463    either one (as in Fortran) or zero.  See the users' manual for details.
3464 
3465    Specify the preallocated storage with either nz or nnz (not both).
3466    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3467    allocation.  For large problems you MUST preallocate memory or you
3468    will get TERRIBLE performance, see the users' manual chapter on matrices.
3469 
3470    By default, this format uses inodes (identical nodes) when possible, to
3471    improve numerical efficiency of matrix-vector products and solves. We
3472    search for consecutive rows with the same nonzero structure, thereby
3473    reusing matrix information to achieve increased efficiency.
3474 
3475    Options Database Keys:
3476 +  -mat_no_inode  - Do not use inodes
3477 -  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3478 
3479    Level: intermediate
3480 
3481 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays()
3482 
3483 @*/
3484 PetscErrorCode  MatCreateSeqAIJ(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
3485 {
3486   PetscErrorCode ierr;
3487 
3488   PetscFunctionBegin;
3489   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3490   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
3491   ierr = MatSetType(*A,MATSEQAIJ);CHKERRQ(ierr);
3492   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*A,nz,nnz);CHKERRQ(ierr);
3493   PetscFunctionReturn(0);
3494 }
3495 
3496 #undef __FUNCT__
3497 #define __FUNCT__ "MatSeqAIJSetPreallocation"
3498 /*@C
3499    MatSeqAIJSetPreallocation - For good matrix assembly performance
3500    the user should preallocate the matrix storage by setting the parameter nz
3501    (or the array nnz).  By setting these parameters accurately, performance
3502    during matrix assembly can be increased by more than a factor of 50.
3503 
3504    Collective on MPI_Comm
3505 
3506    Input Parameters:
3507 +  B - The matrix
3508 .  nz - number of nonzeros per row (same for all rows)
3509 -  nnz - array containing the number of nonzeros in the various rows
3510          (possibly different for each row) or NULL
3511 
3512    Notes:
3513      If nnz is given then nz is ignored
3514 
3515     The AIJ format (also called the Yale sparse matrix format or
3516    compressed row storage), is fully compatible with standard Fortran 77
3517    storage.  That is, the stored row and column indices can begin at
3518    either one (as in Fortran) or zero.  See the users' manual for details.
3519 
3520    Specify the preallocated storage with either nz or nnz (not both).
3521    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3522    allocation.  For large problems you MUST preallocate memory or you
3523    will get TERRIBLE performance, see the users' manual chapter on matrices.
3524 
3525    You can call MatGetInfo() to get information on how effective the preallocation was;
3526    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3527    You can also run with the option -info and look for messages with the string
3528    malloc in them to see if additional memory allocation was needed.
3529 
3530    Developers: Use nz of MAT_SKIP_ALLOCATION to not allocate any space for the matrix
3531    entries or columns indices
3532 
3533    By default, this format uses inodes (identical nodes) when possible, to
3534    improve numerical efficiency of matrix-vector products and solves. We
3535    search for consecutive rows with the same nonzero structure, thereby
3536    reusing matrix information to achieve increased efficiency.
3537 
3538    Options Database Keys:
3539 +  -mat_no_inode  - Do not use inodes
3540 .  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3541 -  -mat_aij_oneindex - Internally use indexing starting at 1
3542         rather than 0.  Note that when calling MatSetValues(),
3543         the user still MUST index entries starting at 0!
3544 
3545    Level: intermediate
3546 
3547 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays(), MatGetInfo()
3548 
3549 @*/
3550 PetscErrorCode  MatSeqAIJSetPreallocation(Mat B,PetscInt nz,const PetscInt nnz[])
3551 {
3552   PetscErrorCode ierr;
3553 
3554   PetscFunctionBegin;
3555   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3556   PetscValidType(B,1);
3557   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocation_C",(Mat,PetscInt,const PetscInt[]),(B,nz,nnz));CHKERRQ(ierr);
3558   PetscFunctionReturn(0);
3559 }
3560 
3561 #undef __FUNCT__
3562 #define __FUNCT__ "MatSeqAIJSetPreallocation_SeqAIJ"
3563 PetscErrorCode  MatSeqAIJSetPreallocation_SeqAIJ(Mat B,PetscInt nz,const PetscInt *nnz)
3564 {
3565   Mat_SeqAIJ     *b;
3566   PetscBool      skipallocation = PETSC_FALSE,realalloc = PETSC_FALSE;
3567   PetscErrorCode ierr;
3568   PetscInt       i;
3569 
3570   PetscFunctionBegin;
3571   if (nz >= 0 || nnz) realalloc = PETSC_TRUE;
3572   if (nz == MAT_SKIP_ALLOCATION) {
3573     skipallocation = PETSC_TRUE;
3574     nz             = 0;
3575   }
3576 
3577   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3578   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3579 
3580   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
3581   if (nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %D",nz);
3582   if (nnz) {
3583     for (i=0; i<B->rmap->n; i++) {
3584       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]);
3585       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);
3586     }
3587   }
3588 
3589   B->preallocated = PETSC_TRUE;
3590 
3591   b = (Mat_SeqAIJ*)B->data;
3592 
3593   if (!skipallocation) {
3594     if (!b->imax) {
3595       ierr = PetscMalloc2(B->rmap->n,&b->imax,B->rmap->n,&b->ilen);CHKERRQ(ierr);
3596       ierr = PetscLogObjectMemory((PetscObject)B,2*B->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
3597     }
3598     if (!nnz) {
3599       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 10;
3600       else if (nz < 0) nz = 1;
3601       for (i=0; i<B->rmap->n; i++) b->imax[i] = nz;
3602       nz = nz*B->rmap->n;
3603     } else {
3604       nz = 0;
3605       for (i=0; i<B->rmap->n; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
3606     }
3607     /* b->ilen will count nonzeros in each row so far. */
3608     for (i=0; i<B->rmap->n; i++) b->ilen[i] = 0;
3609 
3610     /* allocate the matrix space */
3611     /* FIXME: should B's old memory be unlogged? */
3612     ierr    = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
3613     ierr    = PetscMalloc3(nz,&b->a,nz,&b->j,B->rmap->n+1,&b->i);CHKERRQ(ierr);
3614     ierr    = PetscLogObjectMemory((PetscObject)B,(B->rmap->n+1)*sizeof(PetscInt)+nz*(sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
3615     b->i[0] = 0;
3616     for (i=1; i<B->rmap->n+1; i++) {
3617       b->i[i] = b->i[i-1] + b->imax[i-1];
3618     }
3619     b->singlemalloc = PETSC_TRUE;
3620     b->free_a       = PETSC_TRUE;
3621     b->free_ij      = PETSC_TRUE;
3622   } else {
3623     b->free_a  = PETSC_FALSE;
3624     b->free_ij = PETSC_FALSE;
3625   }
3626 
3627   b->nz               = 0;
3628   b->maxnz            = nz;
3629   B->info.nz_unneeded = (double)b->maxnz;
3630   if (realalloc) {
3631     ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3632   }
3633   PetscFunctionReturn(0);
3634 }
3635 
3636 #undef  __FUNCT__
3637 #define __FUNCT__  "MatSeqAIJSetPreallocationCSR"
3638 /*@
3639    MatSeqAIJSetPreallocationCSR - Allocates memory for a sparse sequential matrix in AIJ format.
3640 
3641    Input Parameters:
3642 +  B - the matrix
3643 .  i - the indices into j for the start of each row (starts with zero)
3644 .  j - the column indices for each row (starts with zero) these must be sorted for each row
3645 -  v - optional values in the matrix
3646 
3647    Level: developer
3648 
3649    The i,j,v values are COPIED with this routine; to avoid the copy use MatCreateSeqAIJWithArrays()
3650 
3651 .keywords: matrix, aij, compressed row, sparse, sequential
3652 
3653 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatSeqAIJSetPreallocation(), MatCreateSeqAIJ(), SeqAIJ
3654 @*/
3655 PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat B,const PetscInt i[],const PetscInt j[],const PetscScalar v[])
3656 {
3657   PetscErrorCode ierr;
3658 
3659   PetscFunctionBegin;
3660   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3661   PetscValidType(B,1);
3662   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocationCSR_C",(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,i,j,v));CHKERRQ(ierr);
3663   PetscFunctionReturn(0);
3664 }
3665 
3666 #undef  __FUNCT__
3667 #define __FUNCT__  "MatSeqAIJSetPreallocationCSR_SeqAIJ"
3668 PetscErrorCode  MatSeqAIJSetPreallocationCSR_SeqAIJ(Mat B,const PetscInt Ii[],const PetscInt J[],const PetscScalar v[])
3669 {
3670   PetscInt       i;
3671   PetscInt       m,n;
3672   PetscInt       nz;
3673   PetscInt       *nnz, nz_max = 0;
3674   PetscScalar    *values;
3675   PetscErrorCode ierr;
3676 
3677   PetscFunctionBegin;
3678   if (Ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Ii[0] must be 0 it is %D", Ii[0]);
3679 
3680   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3681   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3682 
3683   ierr = MatGetSize(B, &m, &n);CHKERRQ(ierr);
3684   ierr = PetscMalloc1(m+1, &nnz);CHKERRQ(ierr);
3685   for (i = 0; i < m; i++) {
3686     nz     = Ii[i+1]- Ii[i];
3687     nz_max = PetscMax(nz_max, nz);
3688     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Local row %D has a negative number of columns %D", i, nnz);
3689     nnz[i] = nz;
3690   }
3691   ierr = MatSeqAIJSetPreallocation(B, 0, nnz);CHKERRQ(ierr);
3692   ierr = PetscFree(nnz);CHKERRQ(ierr);
3693 
3694   if (v) {
3695     values = (PetscScalar*) v;
3696   } else {
3697     ierr = PetscCalloc1(nz_max, &values);CHKERRQ(ierr);
3698   }
3699 
3700   for (i = 0; i < m; i++) {
3701     nz   = Ii[i+1] - Ii[i];
3702     ierr = MatSetValues_SeqAIJ(B, 1, &i, nz, J+Ii[i], values + (v ? Ii[i] : 0), INSERT_VALUES);CHKERRQ(ierr);
3703   }
3704 
3705   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3706   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3707 
3708   if (!v) {
3709     ierr = PetscFree(values);CHKERRQ(ierr);
3710   }
3711   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3712   PetscFunctionReturn(0);
3713 }
3714 
3715 #include <../src/mat/impls/dense/seq/dense.h>
3716 #include <petsc/private/kernels/petscaxpy.h>
3717 
3718 #undef __FUNCT__
3719 #define __FUNCT__ "MatMatMultNumeric_SeqDense_SeqAIJ"
3720 /*
3721     Computes (B'*A')' since computing B*A directly is untenable
3722 
3723                n                       p                          p
3724         (              )       (              )         (                  )
3725       m (      A       )  *  n (       B      )   =   m (         C        )
3726         (              )       (              )         (                  )
3727 
3728 */
3729 PetscErrorCode MatMatMultNumeric_SeqDense_SeqAIJ(Mat A,Mat B,Mat C)
3730 {
3731   PetscErrorCode    ierr;
3732   Mat_SeqDense      *sub_a = (Mat_SeqDense*)A->data;
3733   Mat_SeqAIJ        *sub_b = (Mat_SeqAIJ*)B->data;
3734   Mat_SeqDense      *sub_c = (Mat_SeqDense*)C->data;
3735   PetscInt          i,n,m,q,p;
3736   const PetscInt    *ii,*idx;
3737   const PetscScalar *b,*a,*a_q;
3738   PetscScalar       *c,*c_q;
3739 
3740   PetscFunctionBegin;
3741   m    = A->rmap->n;
3742   n    = A->cmap->n;
3743   p    = B->cmap->n;
3744   a    = sub_a->v;
3745   b    = sub_b->a;
3746   c    = sub_c->v;
3747   ierr = PetscMemzero(c,m*p*sizeof(PetscScalar));CHKERRQ(ierr);
3748 
3749   ii  = sub_b->i;
3750   idx = sub_b->j;
3751   for (i=0; i<n; i++) {
3752     q = ii[i+1] - ii[i];
3753     while (q-->0) {
3754       c_q = c + m*(*idx);
3755       a_q = a + m*i;
3756       PetscKernelAXPY(c_q,*b,a_q,m);
3757       idx++;
3758       b++;
3759     }
3760   }
3761   PetscFunctionReturn(0);
3762 }
3763 
3764 #undef __FUNCT__
3765 #define __FUNCT__ "MatMatMultSymbolic_SeqDense_SeqAIJ"
3766 PetscErrorCode MatMatMultSymbolic_SeqDense_SeqAIJ(Mat A,Mat B,PetscReal fill,Mat *C)
3767 {
3768   PetscErrorCode ierr;
3769   PetscInt       m=A->rmap->n,n=B->cmap->n;
3770   Mat            Cmat;
3771 
3772   PetscFunctionBegin;
3773   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);
3774   ierr = MatCreate(PetscObjectComm((PetscObject)A),&Cmat);CHKERRQ(ierr);
3775   ierr = MatSetSizes(Cmat,m,n,m,n);CHKERRQ(ierr);
3776   ierr = MatSetBlockSizesFromMats(Cmat,A,B);CHKERRQ(ierr);
3777   ierr = MatSetType(Cmat,MATSEQDENSE);CHKERRQ(ierr);
3778   ierr = MatSeqDenseSetPreallocation(Cmat,NULL);CHKERRQ(ierr);
3779 
3780   Cmat->ops->matmultnumeric = MatMatMultNumeric_SeqDense_SeqAIJ;
3781 
3782   *C = Cmat;
3783   PetscFunctionReturn(0);
3784 }
3785 
3786 /* ----------------------------------------------------------------*/
3787 #undef __FUNCT__
3788 #define __FUNCT__ "MatMatMult_SeqDense_SeqAIJ"
3789 PETSC_INTERN PetscErrorCode MatMatMult_SeqDense_SeqAIJ(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
3790 {
3791   PetscErrorCode ierr;
3792 
3793   PetscFunctionBegin;
3794   if (scall == MAT_INITIAL_MATRIX) {
3795     ierr = PetscLogEventBegin(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
3796     ierr = MatMatMultSymbolic_SeqDense_SeqAIJ(A,B,fill,C);CHKERRQ(ierr);
3797     ierr = PetscLogEventEnd(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
3798   }
3799   ierr = PetscLogEventBegin(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
3800   ierr = MatMatMultNumeric_SeqDense_SeqAIJ(A,B,*C);CHKERRQ(ierr);
3801   ierr = PetscLogEventEnd(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
3802   PetscFunctionReturn(0);
3803 }
3804 
3805 
3806 /*MC
3807    MATSEQAIJ - MATSEQAIJ = "seqaij" - A matrix type to be used for sequential sparse matrices,
3808    based on compressed sparse row format.
3809 
3810    Options Database Keys:
3811 . -mat_type seqaij - sets the matrix type to "seqaij" during a call to MatSetFromOptions()
3812 
3813   Level: beginner
3814 
3815 .seealso: MatCreateSeqAIJ(), MatSetFromOptions(), MatSetType(), MatCreate(), MatType
3816 M*/
3817 
3818 /*MC
3819    MATAIJ - MATAIJ = "aij" - A matrix type to be used for sparse matrices.
3820 
3821    This matrix type is identical to MATSEQAIJ when constructed with a single process communicator,
3822    and MATMPIAIJ otherwise.  As a result, for single process communicators,
3823   MatSeqAIJSetPreallocation is supported, and similarly MatMPIAIJSetPreallocation is supported
3824   for communicators controlling multiple processes.  It is recommended that you call both of
3825   the above preallocation routines for simplicity.
3826 
3827    Options Database Keys:
3828 . -mat_type aij - sets the matrix type to "aij" during a call to MatSetFromOptions()
3829 
3830   Developer Notes: Subclasses include MATAIJCUSP, MATAIJPERM, MATAIJCRL, and also automatically switches over to use inodes when
3831    enough exist.
3832 
3833   Level: beginner
3834 
3835 .seealso: MatCreateAIJ(), MatCreateSeqAIJ(), MATSEQAIJ,MATMPIAIJ
3836 M*/
3837 
3838 /*MC
3839    MATAIJCRL - MATAIJCRL = "aijcrl" - A matrix type to be used for sparse matrices.
3840 
3841    This matrix type is identical to MATSEQAIJCRL when constructed with a single process communicator,
3842    and MATMPIAIJCRL otherwise.  As a result, for single process communicators,
3843    MatSeqAIJSetPreallocation() is supported, and similarly MatMPIAIJSetPreallocation() is supported
3844   for communicators controlling multiple processes.  It is recommended that you call both of
3845   the above preallocation routines for simplicity.
3846 
3847    Options Database Keys:
3848 . -mat_type aijcrl - sets the matrix type to "aijcrl" during a call to MatSetFromOptions()
3849 
3850   Level: beginner
3851 
3852 .seealso: MatCreateMPIAIJCRL,MATSEQAIJCRL,MATMPIAIJCRL, MATSEQAIJCRL, MATMPIAIJCRL
3853 M*/
3854 
3855 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJCRL(Mat,MatType,MatReuse,Mat*);
3856 #if defined(PETSC_HAVE_ELEMENTAL)
3857 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_Elemental(Mat,MatType,MatReuse,Mat*);
3858 #endif
3859 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqDense(Mat,MatType,MatReuse,Mat*);
3860 
3861 #if defined(PETSC_HAVE_MATLAB_ENGINE)
3862 PETSC_EXTERN PetscErrorCode  MatlabEnginePut_SeqAIJ(PetscObject,void*);
3863 PETSC_EXTERN PetscErrorCode  MatlabEngineGet_SeqAIJ(PetscObject,void*);
3864 #endif
3865 
3866 
3867 #undef __FUNCT__
3868 #define __FUNCT__ "MatSeqAIJGetArray"
3869 /*@C
3870    MatSeqAIJGetArray - gives access to the array where the data for a SeqSeqAIJ matrix is stored
3871 
3872    Not Collective
3873 
3874    Input Parameter:
3875 .  mat - a MATSEQAIJ matrix
3876 
3877    Output Parameter:
3878 .   array - pointer to the data
3879 
3880    Level: intermediate
3881 
3882 .seealso: MatSeqAIJRestoreArray(), MatSeqAIJGetArrayF90()
3883 @*/
3884 PetscErrorCode  MatSeqAIJGetArray(Mat A,PetscScalar **array)
3885 {
3886   PetscErrorCode ierr;
3887 
3888   PetscFunctionBegin;
3889   ierr = PetscUseMethod(A,"MatSeqAIJGetArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
3890   PetscFunctionReturn(0);
3891 }
3892 
3893 #undef __FUNCT__
3894 #define __FUNCT__ "MatSeqAIJGetMaxRowNonzeros"
3895 /*@C
3896    MatSeqAIJGetMaxRowNonzeros - returns the maximum number of nonzeros in any row
3897 
3898    Not Collective
3899 
3900    Input Parameter:
3901 .  mat - a MATSEQAIJ matrix
3902 
3903    Output Parameter:
3904 .   nz - the maximum number of nonzeros in any row
3905 
3906    Level: intermediate
3907 
3908 .seealso: MatSeqAIJRestoreArray(), MatSeqAIJGetArrayF90()
3909 @*/
3910 PetscErrorCode  MatSeqAIJGetMaxRowNonzeros(Mat A,PetscInt *nz)
3911 {
3912   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)A->data;
3913 
3914   PetscFunctionBegin;
3915   *nz = aij->rmax;
3916   PetscFunctionReturn(0);
3917 }
3918 
3919 #undef __FUNCT__
3920 #define __FUNCT__ "MatSeqAIJRestoreArray"
3921 /*@C
3922    MatSeqAIJRestoreArray - returns access to the array where the data for a MATSEQAIJ matrix is stored obtained by MatSeqAIJGetArray()
3923 
3924    Not Collective
3925 
3926    Input Parameters:
3927 .  mat - a MATSEQAIJ matrix
3928 .  array - pointer to the data
3929 
3930    Level: intermediate
3931 
3932 .seealso: MatSeqAIJGetArray(), MatSeqAIJRestoreArrayF90()
3933 @*/
3934 PetscErrorCode  MatSeqAIJRestoreArray(Mat A,PetscScalar **array)
3935 {
3936   PetscErrorCode ierr;
3937 
3938   PetscFunctionBegin;
3939   ierr = PetscUseMethod(A,"MatSeqAIJRestoreArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
3940   PetscFunctionReturn(0);
3941 }
3942 
3943 #undef __FUNCT__
3944 #define __FUNCT__ "MatCreate_SeqAIJ"
3945 PETSC_EXTERN PetscErrorCode MatCreate_SeqAIJ(Mat B)
3946 {
3947   Mat_SeqAIJ     *b;
3948   PetscErrorCode ierr;
3949   PetscMPIInt    size;
3950 
3951   PetscFunctionBegin;
3952   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&size);CHKERRQ(ierr);
3953   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Comm must be of size 1");
3954 
3955   ierr = PetscNewLog(B,&b);CHKERRQ(ierr);
3956 
3957   B->data = (void*)b;
3958 
3959   ierr = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
3960 
3961   b->row                = 0;
3962   b->col                = 0;
3963   b->icol               = 0;
3964   b->reallocs           = 0;
3965   b->ignorezeroentries  = PETSC_FALSE;
3966   b->roworiented        = PETSC_TRUE;
3967   b->nonew              = 0;
3968   b->diag               = 0;
3969   b->solve_work         = 0;
3970   B->spptr              = 0;
3971   b->saved_values       = 0;
3972   b->idiag              = 0;
3973   b->mdiag              = 0;
3974   b->ssor_work          = 0;
3975   b->omega              = 1.0;
3976   b->fshift             = 0.0;
3977   b->idiagvalid         = PETSC_FALSE;
3978   b->ibdiagvalid        = PETSC_FALSE;
3979   b->keepnonzeropattern = PETSC_FALSE;
3980 
3981   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
3982   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJGetArray_C",MatSeqAIJGetArray_SeqAIJ);CHKERRQ(ierr);
3983   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJRestoreArray_C",MatSeqAIJRestoreArray_SeqAIJ);CHKERRQ(ierr);
3984 
3985 #if defined(PETSC_HAVE_MATLAB_ENGINE)
3986   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEnginePut_C",MatlabEnginePut_SeqAIJ);CHKERRQ(ierr);
3987   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEngineGet_C",MatlabEngineGet_SeqAIJ);CHKERRQ(ierr);
3988 #endif
3989 
3990   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetColumnIndices_C",MatSeqAIJSetColumnIndices_SeqAIJ);CHKERRQ(ierr);
3991   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_SeqAIJ);CHKERRQ(ierr);
3992   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_SeqAIJ);CHKERRQ(ierr);
3993   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqsbaij_C",MatConvert_SeqAIJ_SeqSBAIJ);CHKERRQ(ierr);
3994   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqbaij_C",MatConvert_SeqAIJ_SeqBAIJ);CHKERRQ(ierr);
3995   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijperm_C",MatConvert_SeqAIJ_SeqAIJPERM);CHKERRQ(ierr);
3996   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijcrl_C",MatConvert_SeqAIJ_SeqAIJCRL);CHKERRQ(ierr);
3997 #if defined(PETSC_HAVE_ELEMENTAL)
3998   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_elemental_C",MatConvert_SeqAIJ_Elemental);CHKERRQ(ierr);
3999 #endif
4000   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqdense_C",MatConvert_SeqAIJ_SeqDense);CHKERRQ(ierr);
4001   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4002   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsHermitianTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4003   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocation_C",MatSeqAIJSetPreallocation_SeqAIJ);CHKERRQ(ierr);
4004   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocationCSR_C",MatSeqAIJSetPreallocationCSR_SeqAIJ);CHKERRQ(ierr);
4005   ierr = PetscObjectComposeFunction((PetscObject)B,"MatReorderForNonzeroDiagonal_C",MatReorderForNonzeroDiagonal_SeqAIJ);CHKERRQ(ierr);
4006   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMult_seqdense_seqaij_C",MatMatMult_SeqDense_SeqAIJ);CHKERRQ(ierr);
4007   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultSymbolic_seqdense_seqaij_C",MatMatMultSymbolic_SeqDense_SeqAIJ);CHKERRQ(ierr);
4008   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultNumeric_seqdense_seqaij_C",MatMatMultNumeric_SeqDense_SeqAIJ);CHKERRQ(ierr);
4009   ierr = MatCreate_SeqAIJ_Inode(B);CHKERRQ(ierr);
4010   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
4011   PetscFunctionReturn(0);
4012 }
4013 
4014 #undef __FUNCT__
4015 #define __FUNCT__ "MatDuplicateNoCreate_SeqAIJ"
4016 /*
4017     Given a matrix generated with MatGetFactor() duplicates all the information in A into B
4018 */
4019 PetscErrorCode MatDuplicateNoCreate_SeqAIJ(Mat C,Mat A,MatDuplicateOption cpvalues,PetscBool mallocmatspace)
4020 {
4021   Mat_SeqAIJ     *c,*a = (Mat_SeqAIJ*)A->data;
4022   PetscErrorCode ierr;
4023   PetscInt       i,m = A->rmap->n;
4024 
4025   PetscFunctionBegin;
4026   c = (Mat_SeqAIJ*)C->data;
4027 
4028   C->factortype = A->factortype;
4029   c->row        = 0;
4030   c->col        = 0;
4031   c->icol       = 0;
4032   c->reallocs   = 0;
4033 
4034   C->assembled = PETSC_TRUE;
4035 
4036   ierr = PetscLayoutReference(A->rmap,&C->rmap);CHKERRQ(ierr);
4037   ierr = PetscLayoutReference(A->cmap,&C->cmap);CHKERRQ(ierr);
4038 
4039   ierr = PetscMalloc2(m,&c->imax,m,&c->ilen);CHKERRQ(ierr);
4040   ierr = PetscLogObjectMemory((PetscObject)C, 2*m*sizeof(PetscInt));CHKERRQ(ierr);
4041   for (i=0; i<m; i++) {
4042     c->imax[i] = a->imax[i];
4043     c->ilen[i] = a->ilen[i];
4044   }
4045 
4046   /* allocate the matrix space */
4047   if (mallocmatspace) {
4048     ierr = PetscMalloc3(a->i[m],&c->a,a->i[m],&c->j,m+1,&c->i);CHKERRQ(ierr);
4049     ierr = PetscLogObjectMemory((PetscObject)C, a->i[m]*(sizeof(PetscScalar)+sizeof(PetscInt))+(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4050 
4051     c->singlemalloc = PETSC_TRUE;
4052 
4053     ierr = PetscMemcpy(c->i,a->i,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4054     if (m > 0) {
4055       ierr = PetscMemcpy(c->j,a->j,(a->i[m])*sizeof(PetscInt));CHKERRQ(ierr);
4056       if (cpvalues == MAT_COPY_VALUES) {
4057         ierr = PetscMemcpy(c->a,a->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4058       } else {
4059         ierr = PetscMemzero(c->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4060       }
4061     }
4062   }
4063 
4064   c->ignorezeroentries = a->ignorezeroentries;
4065   c->roworiented       = a->roworiented;
4066   c->nonew             = a->nonew;
4067   if (a->diag) {
4068     ierr = PetscMalloc1(m+1,&c->diag);CHKERRQ(ierr);
4069     ierr = PetscLogObjectMemory((PetscObject)C,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4070     for (i=0; i<m; i++) {
4071       c->diag[i] = a->diag[i];
4072     }
4073   } else c->diag = 0;
4074 
4075   c->solve_work         = 0;
4076   c->saved_values       = 0;
4077   c->idiag              = 0;
4078   c->ssor_work          = 0;
4079   c->keepnonzeropattern = a->keepnonzeropattern;
4080   c->free_a             = PETSC_TRUE;
4081   c->free_ij            = PETSC_TRUE;
4082 
4083   c->rmax         = a->rmax;
4084   c->nz           = a->nz;
4085   c->maxnz        = a->nz;       /* Since we allocate exactly the right amount */
4086   C->preallocated = PETSC_TRUE;
4087 
4088   c->compressedrow.use   = a->compressedrow.use;
4089   c->compressedrow.nrows = a->compressedrow.nrows;
4090   if (a->compressedrow.use) {
4091     i    = a->compressedrow.nrows;
4092     ierr = PetscMalloc2(i+1,&c->compressedrow.i,i,&c->compressedrow.rindex);CHKERRQ(ierr);
4093     ierr = PetscMemcpy(c->compressedrow.i,a->compressedrow.i,(i+1)*sizeof(PetscInt));CHKERRQ(ierr);
4094     ierr = PetscMemcpy(c->compressedrow.rindex,a->compressedrow.rindex,i*sizeof(PetscInt));CHKERRQ(ierr);
4095   } else {
4096     c->compressedrow.use    = PETSC_FALSE;
4097     c->compressedrow.i      = NULL;
4098     c->compressedrow.rindex = NULL;
4099   }
4100   c->nonzerorowcnt = a->nonzerorowcnt;
4101   C->nonzerostate  = A->nonzerostate;
4102 
4103   ierr = MatDuplicate_SeqAIJ_Inode(A,cpvalues,&C);CHKERRQ(ierr);
4104   ierr = PetscFunctionListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
4105   PetscFunctionReturn(0);
4106 }
4107 
4108 #undef __FUNCT__
4109 #define __FUNCT__ "MatDuplicate_SeqAIJ"
4110 PetscErrorCode MatDuplicate_SeqAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
4111 {
4112   PetscErrorCode ierr;
4113 
4114   PetscFunctionBegin;
4115   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
4116   ierr = MatSetSizes(*B,A->rmap->n,A->cmap->n,A->rmap->n,A->cmap->n);CHKERRQ(ierr);
4117   if (!(A->rmap->n % A->rmap->bs) && !(A->cmap->n % A->cmap->bs)) {
4118     ierr = MatSetBlockSizesFromMats(*B,A,A);CHKERRQ(ierr);
4119   }
4120   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
4121   ierr = MatDuplicateNoCreate_SeqAIJ(*B,A,cpvalues,PETSC_TRUE);CHKERRQ(ierr);
4122   PetscFunctionReturn(0);
4123 }
4124 
4125 #undef __FUNCT__
4126 #define __FUNCT__ "MatLoad_SeqAIJ"
4127 PetscErrorCode MatLoad_SeqAIJ(Mat newMat, PetscViewer viewer)
4128 {
4129   Mat_SeqAIJ     *a;
4130   PetscErrorCode ierr;
4131   PetscInt       i,sum,nz,header[4],*rowlengths = 0,M,N,rows,cols;
4132   int            fd;
4133   PetscMPIInt    size;
4134   MPI_Comm       comm;
4135   PetscInt       bs = newMat->rmap->bs;
4136 
4137   PetscFunctionBegin;
4138   /* force binary viewer to load .info file if it has not yet done so */
4139   ierr = PetscViewerSetUp(viewer);CHKERRQ(ierr);
4140   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
4141   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4142   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"view must have one processor");
4143 
4144   ierr = PetscOptionsBegin(comm,NULL,"Options for loading SEQAIJ matrix","Mat");CHKERRQ(ierr);
4145   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
4146   ierr = PetscOptionsEnd();CHKERRQ(ierr);
4147   if (bs < 0) bs = 1;
4148   ierr = MatSetBlockSize(newMat,bs);CHKERRQ(ierr);
4149 
4150   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
4151   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
4152   if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object in file");
4153   M = header[1]; N = header[2]; nz = header[3];
4154 
4155   if (nz < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk,cannot load as SeqAIJ");
4156 
4157   /* read in row lengths */
4158   ierr = PetscMalloc1(M,&rowlengths);CHKERRQ(ierr);
4159   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
4160 
4161   /* check if sum of rowlengths is same as nz */
4162   for (i=0,sum=0; i< M; i++) sum +=rowlengths[i];
4163   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);
4164 
4165   /* set global size if not set already*/
4166   if (newMat->rmap->n < 0 && newMat->rmap->N < 0 && newMat->cmap->n < 0 && newMat->cmap->N < 0) {
4167     ierr = MatSetSizes(newMat,PETSC_DECIDE,PETSC_DECIDE,M,N);CHKERRQ(ierr);
4168   } else {
4169     /* if sizes and type are already set, check if the matrix  global sizes are correct */
4170     ierr = MatGetSize(newMat,&rows,&cols);CHKERRQ(ierr);
4171     if (rows < 0 && cols < 0) { /* user might provide local size instead of global size */
4172       ierr = MatGetLocalSize(newMat,&rows,&cols);CHKERRQ(ierr);
4173     }
4174     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);
4175   }
4176   ierr = MatSeqAIJSetPreallocation_SeqAIJ(newMat,0,rowlengths);CHKERRQ(ierr);
4177   a    = (Mat_SeqAIJ*)newMat->data;
4178 
4179   ierr = PetscBinaryRead(fd,a->j,nz,PETSC_INT);CHKERRQ(ierr);
4180 
4181   /* read in nonzero values */
4182   ierr = PetscBinaryRead(fd,a->a,nz,PETSC_SCALAR);CHKERRQ(ierr);
4183 
4184   /* set matrix "i" values */
4185   a->i[0] = 0;
4186   for (i=1; i<= M; i++) {
4187     a->i[i]      = a->i[i-1] + rowlengths[i-1];
4188     a->ilen[i-1] = rowlengths[i-1];
4189   }
4190   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
4191 
4192   ierr = MatAssemblyBegin(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4193   ierr = MatAssemblyEnd(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4194   PetscFunctionReturn(0);
4195 }
4196 
4197 #undef __FUNCT__
4198 #define __FUNCT__ "MatEqual_SeqAIJ"
4199 PetscErrorCode MatEqual_SeqAIJ(Mat A,Mat B,PetscBool * flg)
4200 {
4201   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*b = (Mat_SeqAIJ*)B->data;
4202   PetscErrorCode ierr;
4203 #if defined(PETSC_USE_COMPLEX)
4204   PetscInt k;
4205 #endif
4206 
4207   PetscFunctionBegin;
4208   /* If the  matrix dimensions are not equal,or no of nonzeros */
4209   if ((A->rmap->n != B->rmap->n) || (A->cmap->n != B->cmap->n) ||(a->nz != b->nz)) {
4210     *flg = PETSC_FALSE;
4211     PetscFunctionReturn(0);
4212   }
4213 
4214   /* if the a->i are the same */
4215   ierr = PetscMemcmp(a->i,b->i,(A->rmap->n+1)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4216   if (!*flg) PetscFunctionReturn(0);
4217 
4218   /* if a->j are the same */
4219   ierr = PetscMemcmp(a->j,b->j,(a->nz)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4220   if (!*flg) PetscFunctionReturn(0);
4221 
4222   /* if a->a are the same */
4223 #if defined(PETSC_USE_COMPLEX)
4224   for (k=0; k<a->nz; k++) {
4225     if (PetscRealPart(a->a[k]) != PetscRealPart(b->a[k]) || PetscImaginaryPart(a->a[k]) != PetscImaginaryPart(b->a[k])) {
4226       *flg = PETSC_FALSE;
4227       PetscFunctionReturn(0);
4228     }
4229   }
4230 #else
4231   ierr = PetscMemcmp(a->a,b->a,(a->nz)*sizeof(PetscScalar),flg);CHKERRQ(ierr);
4232 #endif
4233   PetscFunctionReturn(0);
4234 }
4235 
4236 #undef __FUNCT__
4237 #define __FUNCT__ "MatCreateSeqAIJWithArrays"
4238 /*@
4239      MatCreateSeqAIJWithArrays - Creates an sequential AIJ matrix using matrix elements (in CSR format)
4240               provided by the user.
4241 
4242       Collective on MPI_Comm
4243 
4244    Input Parameters:
4245 +   comm - must be an MPI communicator of size 1
4246 .   m - number of rows
4247 .   n - number of columns
4248 .   i - row indices
4249 .   j - column indices
4250 -   a - matrix values
4251 
4252    Output Parameter:
4253 .   mat - the matrix
4254 
4255    Level: intermediate
4256 
4257    Notes:
4258        The i, j, and a arrays are not copied by this routine, the user must free these arrays
4259     once the matrix is destroyed and not before
4260 
4261        You cannot set new nonzero locations into this matrix, that will generate an error.
4262 
4263        The i and j indices are 0 based
4264 
4265        The format which is used for the sparse matrix input, is equivalent to a
4266     row-major ordering.. i.e for the following matrix, the input data expected is
4267     as shown
4268 
4269 $        1 0 0
4270 $        2 0 3
4271 $        4 5 6
4272 $
4273 $        i =  {0,1,3,6}  [size = nrow+1  = 3+1]
4274 $        j =  {0,0,2,0,1,2}  [size = 6]; values must be sorted for each row
4275 $        v =  {1,2,3,4,5,6}  [size = 6]
4276 
4277 
4278 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateMPIAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4279 
4280 @*/
4281 PetscErrorCode  MatCreateSeqAIJWithArrays(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt *i,PetscInt *j,PetscScalar *a,Mat *mat)
4282 {
4283   PetscErrorCode ierr;
4284   PetscInt       ii;
4285   Mat_SeqAIJ     *aij;
4286 #if defined(PETSC_USE_DEBUG)
4287   PetscInt jj;
4288 #endif
4289 
4290   PetscFunctionBegin;
4291   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
4292   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4293   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4294   /* ierr = MatSetBlockSizes(*mat,,);CHKERRQ(ierr); */
4295   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4296   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
4297   aij  = (Mat_SeqAIJ*)(*mat)->data;
4298   ierr = PetscMalloc2(m,&aij->imax,m,&aij->ilen);CHKERRQ(ierr);
4299 
4300   aij->i            = i;
4301   aij->j            = j;
4302   aij->a            = a;
4303   aij->singlemalloc = PETSC_FALSE;
4304   aij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
4305   aij->free_a       = PETSC_FALSE;
4306   aij->free_ij      = PETSC_FALSE;
4307 
4308   for (ii=0; ii<m; ii++) {
4309     aij->ilen[ii] = aij->imax[ii] = i[ii+1] - i[ii];
4310 #if defined(PETSC_USE_DEBUG)
4311     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]);
4312     for (jj=i[ii]+1; jj<i[ii+1]; jj++) {
4313       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);
4314       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);
4315     }
4316 #endif
4317   }
4318 #if defined(PETSC_USE_DEBUG)
4319   for (ii=0; ii<aij->i[m]; ii++) {
4320     if (j[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %D index = %D",ii,j[ii]);
4321     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]);
4322   }
4323 #endif
4324 
4325   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4326   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4327   PetscFunctionReturn(0);
4328 }
4329 #undef __FUNCT__
4330 #define __FUNCT__ "MatCreateSeqAIJFromTriple"
4331 /*@C
4332      MatCreateSeqAIJFromTriple - Creates an sequential AIJ matrix using matrix elements (in COO format)
4333               provided by the user.
4334 
4335       Collective on MPI_Comm
4336 
4337    Input Parameters:
4338 +   comm - must be an MPI communicator of size 1
4339 .   m   - number of rows
4340 .   n   - number of columns
4341 .   i   - row indices
4342 .   j   - column indices
4343 .   a   - matrix values
4344 .   nz  - number of nonzeros
4345 -   idx - 0 or 1 based
4346 
4347    Output Parameter:
4348 .   mat - the matrix
4349 
4350    Level: intermediate
4351 
4352    Notes:
4353        The i and j indices are 0 based
4354 
4355        The format which is used for the sparse matrix input, is equivalent to a
4356     row-major ordering.. i.e for the following matrix, the input data expected is
4357     as shown:
4358 
4359         1 0 0
4360         2 0 3
4361         4 5 6
4362 
4363         i =  {0,1,1,2,2,2}
4364         j =  {0,0,2,0,1,2}
4365         v =  {1,2,3,4,5,6}
4366 
4367 
4368 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateSeqAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4369 
4370 @*/
4371 PetscErrorCode  MatCreateSeqAIJFromTriple(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt *i,PetscInt *j,PetscScalar *a,Mat *mat,PetscInt nz,PetscBool idx)
4372 {
4373   PetscErrorCode ierr;
4374   PetscInt       ii, *nnz, one = 1,row,col;
4375 
4376 
4377   PetscFunctionBegin;
4378   ierr = PetscCalloc1(m,&nnz);CHKERRQ(ierr);
4379   for (ii = 0; ii < nz; ii++) {
4380     nnz[i[ii] - !!idx] += 1;
4381   }
4382   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4383   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4384   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4385   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,0,nnz);CHKERRQ(ierr);
4386   for (ii = 0; ii < nz; ii++) {
4387     if (idx) {
4388       row = i[ii] - 1;
4389       col = j[ii] - 1;
4390     } else {
4391       row = i[ii];
4392       col = j[ii];
4393     }
4394     ierr = MatSetValues(*mat,one,&row,one,&col,&a[ii],ADD_VALUES);CHKERRQ(ierr);
4395   }
4396   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4397   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4398   ierr = PetscFree(nnz);CHKERRQ(ierr);
4399   PetscFunctionReturn(0);
4400 }
4401 
4402 #undef __FUNCT__
4403 #define __FUNCT__ "MatSetColoring_SeqAIJ"
4404 PetscErrorCode MatSetColoring_SeqAIJ(Mat A,ISColoring coloring)
4405 {
4406   PetscErrorCode ierr;
4407   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
4408 
4409   PetscFunctionBegin;
4410   if (coloring->ctype == IS_COLORING_GLOBAL) {
4411     ierr        = ISColoringReference(coloring);CHKERRQ(ierr);
4412     a->coloring = coloring;
4413   } else if (coloring->ctype == IS_COLORING_GHOSTED) {
4414     PetscInt        i,*larray;
4415     ISColoring      ocoloring;
4416     ISColoringValue *colors;
4417 
4418     /* set coloring for diagonal portion */
4419     ierr = PetscMalloc1(A->cmap->n,&larray);CHKERRQ(ierr);
4420     for (i=0; i<A->cmap->n; i++) larray[i] = i;
4421     ierr = ISGlobalToLocalMappingApply(A->cmap->mapping,IS_GTOLM_MASK,A->cmap->n,larray,NULL,larray);CHKERRQ(ierr);
4422     ierr = PetscMalloc1(A->cmap->n,&colors);CHKERRQ(ierr);
4423     for (i=0; i<A->cmap->n; i++) colors[i] = coloring->colors[larray[i]];
4424     ierr        = PetscFree(larray);CHKERRQ(ierr);
4425     ierr        = ISColoringCreate(PETSC_COMM_SELF,coloring->n,A->cmap->n,colors,PETSC_OWN_POINTER,&ocoloring);CHKERRQ(ierr);
4426     a->coloring = ocoloring;
4427   }
4428   PetscFunctionReturn(0);
4429 }
4430 
4431 #undef __FUNCT__
4432 #define __FUNCT__ "MatSetValuesAdifor_SeqAIJ"
4433 PetscErrorCode MatSetValuesAdifor_SeqAIJ(Mat A,PetscInt nl,void *advalues)
4434 {
4435   Mat_SeqAIJ      *a      = (Mat_SeqAIJ*)A->data;
4436   PetscInt        m       = A->rmap->n,*ii = a->i,*jj = a->j,nz,i,j;
4437   MatScalar       *v      = a->a;
4438   PetscScalar     *values = (PetscScalar*)advalues;
4439   ISColoringValue *color;
4440 
4441   PetscFunctionBegin;
4442   if (!a->coloring) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Coloring not set for matrix");
4443   color = a->coloring->colors;
4444   /* loop over rows */
4445   for (i=0; i<m; i++) {
4446     nz = ii[i+1] - ii[i];
4447     /* loop over columns putting computed value into matrix */
4448     for (j=0; j<nz; j++) *v++ = values[color[*jj++]];
4449     values += nl; /* jump to next row of derivatives */
4450   }
4451   PetscFunctionReturn(0);
4452 }
4453 
4454 #undef __FUNCT__
4455 #define __FUNCT__ "MatSeqAIJInvalidateDiagonal"
4456 PetscErrorCode MatSeqAIJInvalidateDiagonal(Mat A)
4457 {
4458   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data;
4459   PetscErrorCode ierr;
4460 
4461   PetscFunctionBegin;
4462   a->idiagvalid  = PETSC_FALSE;
4463   a->ibdiagvalid = PETSC_FALSE;
4464 
4465   ierr = MatSeqAIJInvalidateDiagonal_Inode(A);CHKERRQ(ierr);
4466   PetscFunctionReturn(0);
4467 }
4468 
4469 #undef __FUNCT__
4470 #define __FUNCT__ "MatCreateMPIMatConcatenateSeqMat_SeqAIJ"
4471 PetscErrorCode MatCreateMPIMatConcatenateSeqMat_SeqAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
4472 {
4473   PetscErrorCode ierr;
4474 
4475   PetscFunctionBegin;
4476   ierr = MatCreateMPIMatConcatenateSeqMat_MPIAIJ(comm,inmat,n,scall,outmat);CHKERRQ(ierr);
4477   PetscFunctionReturn(0);
4478 }
4479 
4480 /*
4481  Permute A into C's *local* index space using rowemb,colemb.
4482  The embedding are supposed to be injections and the above implies that the range of rowemb is a subset
4483  of [0,m), colemb is in [0,n).
4484  If pattern == DIFFERENT_NONZERO_PATTERN, C is preallocated according to A.
4485  */
4486 #undef __FUNCT__
4487 #define __FUNCT__ "MatSetSeqMat_SeqAIJ"
4488 PetscErrorCode MatSetSeqMat_SeqAIJ(Mat C,IS rowemb,IS colemb,MatStructure pattern,Mat B)
4489 {
4490   /* If making this function public, change the error returned in this function away from _PLIB. */
4491   PetscErrorCode ierr;
4492   Mat_SeqAIJ     *Baij;
4493   PetscBool      seqaij;
4494   PetscInt       m,n,*nz,i,j,count;
4495   PetscScalar    v;
4496   const PetscInt *rowindices,*colindices;
4497 
4498   PetscFunctionBegin;
4499   if (!B) PetscFunctionReturn(0);
4500   /* Check to make sure the target matrix (and embeddings) are compatible with C and each other. */
4501   ierr = PetscObjectTypeCompare((PetscObject)B,MATSEQAIJ,&seqaij);CHKERRQ(ierr);
4502   if (!seqaij) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is of wrong type");
4503   if (rowemb) {
4504     ierr = ISGetLocalSize(rowemb,&m);CHKERRQ(ierr);
4505     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);
4506   } else {
4507     if (C->rmap->n != B->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is row-incompatible with the target matrix");
4508   }
4509   if (colemb) {
4510     ierr = ISGetLocalSize(colemb,&n);CHKERRQ(ierr);
4511     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);
4512   } else {
4513     if (C->cmap->n != B->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is col-incompatible with the target matrix");
4514   }
4515 
4516   Baij = (Mat_SeqAIJ*)(B->data);
4517   if (pattern == DIFFERENT_NONZERO_PATTERN) {
4518     ierr = PetscMalloc1(B->rmap->n,&nz);CHKERRQ(ierr);
4519     for (i=0; i<B->rmap->n; i++) {
4520       nz[i] = Baij->i[i+1] - Baij->i[i];
4521     }
4522     ierr = MatSeqAIJSetPreallocation(C,0,nz);CHKERRQ(ierr);
4523     ierr = PetscFree(nz);CHKERRQ(ierr);
4524   }
4525   if (pattern == SUBSET_NONZERO_PATTERN) {
4526     ierr = MatZeroEntries(C);CHKERRQ(ierr);
4527   }
4528   count = 0;
4529   rowindices = NULL;
4530   colindices = NULL;
4531   if (rowemb) {
4532     ierr = ISGetIndices(rowemb,&rowindices);CHKERRQ(ierr);
4533   }
4534   if (colemb) {
4535     ierr = ISGetIndices(colemb,&colindices);CHKERRQ(ierr);
4536   }
4537   for (i=0; i<B->rmap->n; i++) {
4538     PetscInt row;
4539     row = i;
4540     if (rowindices) row = rowindices[i];
4541     for (j=Baij->i[i]; j<Baij->i[i+1]; j++) {
4542       PetscInt col;
4543       col  = Baij->j[count];
4544       if (colindices) col = colindices[col];
4545       v    = Baij->a[count];
4546       ierr = MatSetValues(C,1,&row,1,&col,&v,INSERT_VALUES);CHKERRQ(ierr);
4547       ++count;
4548     }
4549   }
4550   /* FIXME: set C's nonzerostate correctly. */
4551   /* Assembly for C is necessary. */
4552   C->preallocated = PETSC_TRUE;
4553   C->assembled     = PETSC_TRUE;
4554   C->was_assembled = PETSC_FALSE;
4555   PetscFunctionReturn(0);
4556 }
4557 
4558 
4559 /*
4560     Special version for direct calls from Fortran
4561 */
4562 #include <petsc/private/fortranimpl.h>
4563 #if defined(PETSC_HAVE_FORTRAN_CAPS)
4564 #define matsetvaluesseqaij_ MATSETVALUESSEQAIJ
4565 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
4566 #define matsetvaluesseqaij_ matsetvaluesseqaij
4567 #endif
4568 
4569 /* Change these macros so can be used in void function */
4570 #undef CHKERRQ
4571 #define CHKERRQ(ierr) CHKERRABORT(PetscObjectComm((PetscObject)A),ierr)
4572 #undef SETERRQ2
4573 #define SETERRQ2(comm,ierr,b,c,d) CHKERRABORT(comm,ierr)
4574 #undef SETERRQ3
4575 #define SETERRQ3(comm,ierr,b,c,d,e) CHKERRABORT(comm,ierr)
4576 
4577 #undef __FUNCT__
4578 #define __FUNCT__ "matsetvaluesseqaij_"
4579 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)
4580 {
4581   Mat            A  = *AA;
4582   PetscInt       m  = *mm, n = *nn;
4583   InsertMode     is = *isis;
4584   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
4585   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
4586   PetscInt       *imax,*ai,*ailen;
4587   PetscErrorCode ierr;
4588   PetscInt       *aj,nonew = a->nonew,lastcol = -1;
4589   MatScalar      *ap,value,*aa;
4590   PetscBool      ignorezeroentries = a->ignorezeroentries;
4591   PetscBool      roworiented       = a->roworiented;
4592 
4593   PetscFunctionBegin;
4594   MatCheckPreallocated(A,1);
4595   imax  = a->imax;
4596   ai    = a->i;
4597   ailen = a->ilen;
4598   aj    = a->j;
4599   aa    = a->a;
4600 
4601   for (k=0; k<m; k++) { /* loop over added rows */
4602     row = im[k];
4603     if (row < 0) continue;
4604 #if defined(PETSC_USE_DEBUG)
4605     if (row >= A->rmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Row too large");
4606 #endif
4607     rp   = aj + ai[row]; ap = aa + ai[row];
4608     rmax = imax[row]; nrow = ailen[row];
4609     low  = 0;
4610     high = nrow;
4611     for (l=0; l<n; l++) { /* loop over added columns */
4612       if (in[l] < 0) continue;
4613 #if defined(PETSC_USE_DEBUG)
4614       if (in[l] >= A->cmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Column too large");
4615 #endif
4616       col = in[l];
4617       if (roworiented) value = v[l + k*n];
4618       else value = v[k + l*m];
4619 
4620       if (value == 0.0 && ignorezeroentries && (is == ADD_VALUES)) continue;
4621 
4622       if (col <= lastcol) low = 0;
4623       else high = nrow;
4624       lastcol = col;
4625       while (high-low > 5) {
4626         t = (low+high)/2;
4627         if (rp[t] > col) high = t;
4628         else             low  = t;
4629       }
4630       for (i=low; i<high; i++) {
4631         if (rp[i] > col) break;
4632         if (rp[i] == col) {
4633           if (is == ADD_VALUES) ap[i] += value;
4634           else                  ap[i] = value;
4635           goto noinsert;
4636         }
4637       }
4638       if (value == 0.0 && ignorezeroentries) goto noinsert;
4639       if (nonew == 1) goto noinsert;
4640       if (nonew == -1) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero in the matrix");
4641       MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
4642       N = nrow++ - 1; a->nz++; high++;
4643       /* shift up all the later entries in this row */
4644       for (ii=N; ii>=i; ii--) {
4645         rp[ii+1] = rp[ii];
4646         ap[ii+1] = ap[ii];
4647       }
4648       rp[i] = col;
4649       ap[i] = value;
4650       A->nonzerostate++;
4651 noinsert:;
4652       low = i + 1;
4653     }
4654     ailen[row] = nrow;
4655   }
4656   PetscFunctionReturnVoid();
4657 }
4658 
4659