xref: /petsc/src/mat/impls/aij/seq/aij.c (revision 2c93a97ac4dcf4e8c67f0ee09af8f9723fee5055)
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,PETSC_TRUE,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,PETSC_TRUE,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->factorerrortype             = MAT_FACTOR_NUMERIC_ZEROPIVOT;
1591           A->factorerror_zeropivot_value = 0.0;
1592           A->factorerror_zeropivot_row   = i;
1593         } SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Zero diagonal on row %D",i);
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     ierr = PetscLogFlops(2*a->nz);CHKERRQ(ierr);
1963   } else if (type == NORM_1) {
1964     PetscReal *tmp;
1965     PetscInt  *jj = a->j;
1966     ierr = PetscCalloc1(A->cmap->n+1,&tmp);CHKERRQ(ierr);
1967     *nrm = 0.0;
1968     for (j=0; j<a->nz; j++) {
1969       tmp[*jj++] += PetscAbsScalar(*v);  v++;
1970     }
1971     for (j=0; j<A->cmap->n; j++) {
1972       if (tmp[j] > *nrm) *nrm = tmp[j];
1973     }
1974     ierr = PetscFree(tmp);CHKERRQ(ierr);
1975     ierr = PetscLogFlops(PetscMax(a->nz-1,0));CHKERRQ(ierr);
1976   } else if (type == NORM_INFINITY) {
1977     *nrm = 0.0;
1978     for (j=0; j<A->rmap->n; j++) {
1979       v   = a->a + a->i[j];
1980       sum = 0.0;
1981       for (i=0; i<a->i[j+1]-a->i[j]; i++) {
1982         sum += PetscAbsScalar(*v); v++;
1983       }
1984       if (sum > *nrm) *nrm = sum;
1985     }
1986     ierr = PetscLogFlops(PetscMax(a->nz-1,0));CHKERRQ(ierr);
1987   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for two norm");
1988   PetscFunctionReturn(0);
1989 }
1990 
1991 /* Merged from MatGetSymbolicTranspose_SeqAIJ() - replace MatGetSymbolicTranspose_SeqAIJ()? */
1992 #undef __FUNCT__
1993 #define __FUNCT__ "MatTransposeSymbolic_SeqAIJ"
1994 PetscErrorCode MatTransposeSymbolic_SeqAIJ(Mat A,Mat *B)
1995 {
1996   PetscErrorCode ierr;
1997   PetscInt       i,j,anzj;
1998   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data,*b;
1999   PetscInt       an=A->cmap->N,am=A->rmap->N;
2000   PetscInt       *ati,*atj,*atfill,*ai=a->i,*aj=a->j;
2001 
2002   PetscFunctionBegin;
2003   /* Allocate space for symbolic transpose info and work array */
2004   ierr = PetscCalloc1(an+1,&ati);CHKERRQ(ierr);
2005   ierr = PetscMalloc1(ai[am],&atj);CHKERRQ(ierr);
2006   ierr = PetscMalloc1(an,&atfill);CHKERRQ(ierr);
2007 
2008   /* Walk through aj and count ## of non-zeros in each row of A^T. */
2009   /* Note: offset by 1 for fast conversion into csr format. */
2010   for (i=0;i<ai[am];i++) ati[aj[i]+1] += 1;
2011   /* Form ati for csr format of A^T. */
2012   for (i=0;i<an;i++) ati[i+1] += ati[i];
2013 
2014   /* Copy ati into atfill so we have locations of the next free space in atj */
2015   ierr = PetscMemcpy(atfill,ati,an*sizeof(PetscInt));CHKERRQ(ierr);
2016 
2017   /* Walk through A row-wise and mark nonzero entries of A^T. */
2018   for (i=0;i<am;i++) {
2019     anzj = ai[i+1] - ai[i];
2020     for (j=0;j<anzj;j++) {
2021       atj[atfill[*aj]] = i;
2022       atfill[*aj++]   += 1;
2023     }
2024   }
2025 
2026   /* Clean up temporary space and complete requests. */
2027   ierr = PetscFree(atfill);CHKERRQ(ierr);
2028   ierr = MatCreateSeqAIJWithArrays(PetscObjectComm((PetscObject)A),an,am,ati,atj,NULL,B);CHKERRQ(ierr);
2029   ierr = MatSetBlockSizes(*B,PetscAbs(A->cmap->bs),PetscAbs(A->rmap->bs));CHKERRQ(ierr);
2030 
2031   b          = (Mat_SeqAIJ*)((*B)->data);
2032   b->free_a  = PETSC_FALSE;
2033   b->free_ij = PETSC_TRUE;
2034   b->nonew   = 0;
2035   PetscFunctionReturn(0);
2036 }
2037 
2038 #undef __FUNCT__
2039 #define __FUNCT__ "MatTranspose_SeqAIJ"
2040 PetscErrorCode MatTranspose_SeqAIJ(Mat A,MatReuse reuse,Mat *B)
2041 {
2042   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2043   Mat            C;
2044   PetscErrorCode ierr;
2045   PetscInt       i,*aj = a->j,*ai = a->i,m = A->rmap->n,len,*col;
2046   MatScalar      *array = a->a;
2047 
2048   PetscFunctionBegin;
2049   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");
2050 
2051   if (reuse == MAT_INITIAL_MATRIX || *B == A) {
2052     ierr = PetscCalloc1(1+A->cmap->n,&col);CHKERRQ(ierr);
2053 
2054     for (i=0; i<ai[m]; i++) col[aj[i]] += 1;
2055     ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2056     ierr = MatSetSizes(C,A->cmap->n,m,A->cmap->n,m);CHKERRQ(ierr);
2057     ierr = MatSetBlockSizes(C,PetscAbs(A->cmap->bs),PetscAbs(A->rmap->bs));CHKERRQ(ierr);
2058     ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2059     ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,col);CHKERRQ(ierr);
2060     ierr = PetscFree(col);CHKERRQ(ierr);
2061   } else {
2062     C = *B;
2063   }
2064 
2065   for (i=0; i<m; i++) {
2066     len    = ai[i+1]-ai[i];
2067     ierr   = MatSetValues_SeqAIJ(C,len,aj,1,&i,array,INSERT_VALUES);CHKERRQ(ierr);
2068     array += len;
2069     aj    += len;
2070   }
2071   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2072   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2073 
2074   if (reuse == MAT_INITIAL_MATRIX || *B != A) {
2075     *B = C;
2076   } else {
2077     ierr = MatHeaderMerge(A,&C);CHKERRQ(ierr);
2078   }
2079   PetscFunctionReturn(0);
2080 }
2081 
2082 #undef __FUNCT__
2083 #define __FUNCT__ "MatIsTranspose_SeqAIJ"
2084 PetscErrorCode  MatIsTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
2085 {
2086   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) A->data,*bij = (Mat_SeqAIJ*) B->data;
2087   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr;
2088   MatScalar      *va,*vb;
2089   PetscErrorCode ierr;
2090   PetscInt       ma,na,mb,nb, i;
2091 
2092   PetscFunctionBegin;
2093   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
2094   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
2095   if (ma!=nb || na!=mb) {
2096     *f = PETSC_FALSE;
2097     PetscFunctionReturn(0);
2098   }
2099   aii  = aij->i; bii = bij->i;
2100   adx  = aij->j; bdx = bij->j;
2101   va   = aij->a; vb = bij->a;
2102   ierr = PetscMalloc1(ma,&aptr);CHKERRQ(ierr);
2103   ierr = PetscMalloc1(mb,&bptr);CHKERRQ(ierr);
2104   for (i=0; i<ma; i++) aptr[i] = aii[i];
2105   for (i=0; i<mb; i++) bptr[i] = bii[i];
2106 
2107   *f = PETSC_TRUE;
2108   for (i=0; i<ma; i++) {
2109     while (aptr[i]<aii[i+1]) {
2110       PetscInt    idc,idr;
2111       PetscScalar vc,vr;
2112       /* column/row index/value */
2113       idc = adx[aptr[i]];
2114       idr = bdx[bptr[idc]];
2115       vc  = va[aptr[i]];
2116       vr  = vb[bptr[idc]];
2117       if (i!=idr || PetscAbsScalar(vc-vr) > tol) {
2118         *f = PETSC_FALSE;
2119         goto done;
2120       } else {
2121         aptr[i]++;
2122         if (B || i!=idc) bptr[idc]++;
2123       }
2124     }
2125   }
2126 done:
2127   ierr = PetscFree(aptr);CHKERRQ(ierr);
2128   ierr = PetscFree(bptr);CHKERRQ(ierr);
2129   PetscFunctionReturn(0);
2130 }
2131 
2132 #undef __FUNCT__
2133 #define __FUNCT__ "MatIsHermitianTranspose_SeqAIJ"
2134 PetscErrorCode  MatIsHermitianTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
2135 {
2136   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) A->data,*bij = (Mat_SeqAIJ*) B->data;
2137   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr;
2138   MatScalar      *va,*vb;
2139   PetscErrorCode ierr;
2140   PetscInt       ma,na,mb,nb, i;
2141 
2142   PetscFunctionBegin;
2143   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
2144   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
2145   if (ma!=nb || na!=mb) {
2146     *f = PETSC_FALSE;
2147     PetscFunctionReturn(0);
2148   }
2149   aii  = aij->i; bii = bij->i;
2150   adx  = aij->j; bdx = bij->j;
2151   va   = aij->a; vb = bij->a;
2152   ierr = PetscMalloc1(ma,&aptr);CHKERRQ(ierr);
2153   ierr = PetscMalloc1(mb,&bptr);CHKERRQ(ierr);
2154   for (i=0; i<ma; i++) aptr[i] = aii[i];
2155   for (i=0; i<mb; i++) bptr[i] = bii[i];
2156 
2157   *f = PETSC_TRUE;
2158   for (i=0; i<ma; i++) {
2159     while (aptr[i]<aii[i+1]) {
2160       PetscInt    idc,idr;
2161       PetscScalar vc,vr;
2162       /* column/row index/value */
2163       idc = adx[aptr[i]];
2164       idr = bdx[bptr[idc]];
2165       vc  = va[aptr[i]];
2166       vr  = vb[bptr[idc]];
2167       if (i!=idr || PetscAbsScalar(vc-PetscConj(vr)) > tol) {
2168         *f = PETSC_FALSE;
2169         goto done;
2170       } else {
2171         aptr[i]++;
2172         if (B || i!=idc) bptr[idc]++;
2173       }
2174     }
2175   }
2176 done:
2177   ierr = PetscFree(aptr);CHKERRQ(ierr);
2178   ierr = PetscFree(bptr);CHKERRQ(ierr);
2179   PetscFunctionReturn(0);
2180 }
2181 
2182 #undef __FUNCT__
2183 #define __FUNCT__ "MatIsSymmetric_SeqAIJ"
2184 PetscErrorCode MatIsSymmetric_SeqAIJ(Mat A,PetscReal tol,PetscBool  *f)
2185 {
2186   PetscErrorCode ierr;
2187 
2188   PetscFunctionBegin;
2189   ierr = MatIsTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
2190   PetscFunctionReturn(0);
2191 }
2192 
2193 #undef __FUNCT__
2194 #define __FUNCT__ "MatIsHermitian_SeqAIJ"
2195 PetscErrorCode MatIsHermitian_SeqAIJ(Mat A,PetscReal tol,PetscBool  *f)
2196 {
2197   PetscErrorCode ierr;
2198 
2199   PetscFunctionBegin;
2200   ierr = MatIsHermitianTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
2201   PetscFunctionReturn(0);
2202 }
2203 
2204 #undef __FUNCT__
2205 #define __FUNCT__ "MatDiagonalScale_SeqAIJ"
2206 PetscErrorCode MatDiagonalScale_SeqAIJ(Mat A,Vec ll,Vec rr)
2207 {
2208   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2209   PetscScalar    *l,*r,x;
2210   MatScalar      *v;
2211   PetscErrorCode ierr;
2212   PetscInt       i,j,m = A->rmap->n,n = A->cmap->n,M,nz = a->nz,*jj;
2213 
2214   PetscFunctionBegin;
2215   if (ll) {
2216     /* The local size is used so that VecMPI can be passed to this routine
2217        by MatDiagonalScale_MPIAIJ */
2218     ierr = VecGetLocalSize(ll,&m);CHKERRQ(ierr);
2219     if (m != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Left scaling vector wrong length");
2220     ierr = VecGetArray(ll,&l);CHKERRQ(ierr);
2221     v    = a->a;
2222     for (i=0; i<m; i++) {
2223       x = l[i];
2224       M = a->i[i+1] - a->i[i];
2225       for (j=0; j<M; j++) (*v++) *= x;
2226     }
2227     ierr = VecRestoreArray(ll,&l);CHKERRQ(ierr);
2228     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
2229   }
2230   if (rr) {
2231     ierr = VecGetLocalSize(rr,&n);CHKERRQ(ierr);
2232     if (n != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Right scaling vector wrong length");
2233     ierr = VecGetArray(rr,&r);CHKERRQ(ierr);
2234     v    = a->a; jj = a->j;
2235     for (i=0; i<nz; i++) (*v++) *= r[*jj++];
2236     ierr = VecRestoreArray(rr,&r);CHKERRQ(ierr);
2237     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
2238   }
2239   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
2240   PetscFunctionReturn(0);
2241 }
2242 
2243 #undef __FUNCT__
2244 #define __FUNCT__ "MatGetSubMatrix_SeqAIJ"
2245 PetscErrorCode MatGetSubMatrix_SeqAIJ(Mat A,IS isrow,IS iscol,PetscInt csize,MatReuse scall,Mat *B)
2246 {
2247   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*c;
2248   PetscErrorCode ierr;
2249   PetscInt       *smap,i,k,kstart,kend,oldcols = A->cmap->n,*lens;
2250   PetscInt       row,mat_i,*mat_j,tcol,first,step,*mat_ilen,sum,lensi;
2251   const PetscInt *irow,*icol;
2252   PetscInt       nrows,ncols;
2253   PetscInt       *starts,*j_new,*i_new,*aj = a->j,*ai = a->i,ii,*ailen = a->ilen;
2254   MatScalar      *a_new,*mat_a;
2255   Mat            C;
2256   PetscBool      stride;
2257 
2258   PetscFunctionBegin;
2259 
2260   ierr = ISGetIndices(isrow,&irow);CHKERRQ(ierr);
2261   ierr = ISGetLocalSize(isrow,&nrows);CHKERRQ(ierr);
2262   ierr = ISGetLocalSize(iscol,&ncols);CHKERRQ(ierr);
2263 
2264   ierr = PetscObjectTypeCompare((PetscObject)iscol,ISSTRIDE,&stride);CHKERRQ(ierr);
2265   if (stride) {
2266     ierr = ISStrideGetInfo(iscol,&first,&step);CHKERRQ(ierr);
2267   } else {
2268     first = 0;
2269     step  = 0;
2270   }
2271   if (stride && step == 1) {
2272     /* special case of contiguous rows */
2273     ierr = PetscMalloc2(nrows,&lens,nrows,&starts);CHKERRQ(ierr);
2274     /* loop over new rows determining lens and starting points */
2275     for (i=0; i<nrows; i++) {
2276       kstart = ai[irow[i]];
2277       kend   = kstart + ailen[irow[i]];
2278       starts[i] = kstart;
2279       for (k=kstart; k<kend; k++) {
2280         if (aj[k] >= first) {
2281           starts[i] = k;
2282           break;
2283         }
2284       }
2285       sum = 0;
2286       while (k < kend) {
2287         if (aj[k++] >= first+ncols) break;
2288         sum++;
2289       }
2290       lens[i] = sum;
2291     }
2292     /* create submatrix */
2293     if (scall == MAT_REUSE_MATRIX) {
2294       PetscInt n_cols,n_rows;
2295       ierr = MatGetSize(*B,&n_rows,&n_cols);CHKERRQ(ierr);
2296       if (n_rows != nrows || n_cols != ncols) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Reused submatrix wrong size");
2297       ierr = MatZeroEntries(*B);CHKERRQ(ierr);
2298       C    = *B;
2299     } else {
2300       PetscInt rbs,cbs;
2301       ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2302       ierr = MatSetSizes(C,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2303       ierr = ISGetBlockSize(isrow,&rbs);CHKERRQ(ierr);
2304       ierr = ISGetBlockSize(iscol,&cbs);CHKERRQ(ierr);
2305       ierr = MatSetBlockSizes(C,rbs,cbs);CHKERRQ(ierr);
2306       ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2307       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
2308     }
2309     c = (Mat_SeqAIJ*)C->data;
2310 
2311     /* loop over rows inserting into submatrix */
2312     a_new = c->a;
2313     j_new = c->j;
2314     i_new = c->i;
2315 
2316     for (i=0; i<nrows; i++) {
2317       ii    = starts[i];
2318       lensi = lens[i];
2319       for (k=0; k<lensi; k++) {
2320         *j_new++ = aj[ii+k] - first;
2321       }
2322       ierr       = PetscMemcpy(a_new,a->a + starts[i],lensi*sizeof(PetscScalar));CHKERRQ(ierr);
2323       a_new     += lensi;
2324       i_new[i+1] = i_new[i] + lensi;
2325       c->ilen[i] = lensi;
2326     }
2327     ierr = PetscFree2(lens,starts);CHKERRQ(ierr);
2328   } else {
2329     ierr = ISGetIndices(iscol,&icol);CHKERRQ(ierr);
2330     ierr = PetscCalloc1(oldcols,&smap);CHKERRQ(ierr);
2331     ierr = PetscMalloc1(1+nrows,&lens);CHKERRQ(ierr);
2332     for (i=0; i<ncols; i++) {
2333 #if defined(PETSC_USE_DEBUG)
2334       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);
2335 #endif
2336       smap[icol[i]] = i+1;
2337     }
2338 
2339     /* determine lens of each row */
2340     for (i=0; i<nrows; i++) {
2341       kstart  = ai[irow[i]];
2342       kend    = kstart + a->ilen[irow[i]];
2343       lens[i] = 0;
2344       for (k=kstart; k<kend; k++) {
2345         if (smap[aj[k]]) {
2346           lens[i]++;
2347         }
2348       }
2349     }
2350     /* Create and fill new matrix */
2351     if (scall == MAT_REUSE_MATRIX) {
2352       PetscBool equal;
2353 
2354       c = (Mat_SeqAIJ*)((*B)->data);
2355       if ((*B)->rmap->n  != nrows || (*B)->cmap->n != ncols) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong size");
2356       ierr = PetscMemcmp(c->ilen,lens,(*B)->rmap->n*sizeof(PetscInt),&equal);CHKERRQ(ierr);
2357       if (!equal) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong no of nonzeros");
2358       ierr = PetscMemzero(c->ilen,(*B)->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
2359       C    = *B;
2360     } else {
2361       PetscInt rbs,cbs;
2362       ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2363       ierr = MatSetSizes(C,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2364       ierr = ISGetBlockSize(isrow,&rbs);CHKERRQ(ierr);
2365       ierr = ISGetBlockSize(iscol,&cbs);CHKERRQ(ierr);
2366       ierr = MatSetBlockSizes(C,rbs,cbs);CHKERRQ(ierr);
2367       ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2368       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
2369     }
2370     c = (Mat_SeqAIJ*)(C->data);
2371     for (i=0; i<nrows; i++) {
2372       row      = irow[i];
2373       kstart   = ai[row];
2374       kend     = kstart + a->ilen[row];
2375       mat_i    = c->i[i];
2376       mat_j    = c->j + mat_i;
2377       mat_a    = c->a + mat_i;
2378       mat_ilen = c->ilen + i;
2379       for (k=kstart; k<kend; k++) {
2380         if ((tcol=smap[a->j[k]])) {
2381           *mat_j++ = tcol - 1;
2382           *mat_a++ = a->a[k];
2383           (*mat_ilen)++;
2384 
2385         }
2386       }
2387     }
2388     /* Free work space */
2389     ierr = ISRestoreIndices(iscol,&icol);CHKERRQ(ierr);
2390     ierr = PetscFree(smap);CHKERRQ(ierr);
2391     ierr = PetscFree(lens);CHKERRQ(ierr);
2392     /* sort */
2393     for (i = 0; i < nrows; i++) {
2394       PetscInt ilen;
2395 
2396       mat_i = c->i[i];
2397       mat_j = c->j + mat_i;
2398       mat_a = c->a + mat_i;
2399       ilen  = c->ilen[i];
2400       ierr  = PetscSortIntWithMatScalarArray(ilen,mat_j,mat_a);CHKERRQ(ierr);
2401     }
2402   }
2403   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2404   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2405 
2406   ierr = ISRestoreIndices(isrow,&irow);CHKERRQ(ierr);
2407   *B   = C;
2408   PetscFunctionReturn(0);
2409 }
2410 
2411 #undef __FUNCT__
2412 #define __FUNCT__ "MatGetMultiProcBlock_SeqAIJ"
2413 PetscErrorCode  MatGetMultiProcBlock_SeqAIJ(Mat mat,MPI_Comm subComm,MatReuse scall,Mat *subMat)
2414 {
2415   PetscErrorCode ierr;
2416   Mat            B;
2417 
2418   PetscFunctionBegin;
2419   if (scall == MAT_INITIAL_MATRIX) {
2420     ierr    = MatCreate(subComm,&B);CHKERRQ(ierr);
2421     ierr    = MatSetSizes(B,mat->rmap->n,mat->cmap->n,mat->rmap->n,mat->cmap->n);CHKERRQ(ierr);
2422     ierr    = MatSetBlockSizesFromMats(B,mat,mat);CHKERRQ(ierr);
2423     ierr    = MatSetType(B,MATSEQAIJ);CHKERRQ(ierr);
2424     ierr    = MatDuplicateNoCreate_SeqAIJ(B,mat,MAT_COPY_VALUES,PETSC_TRUE);CHKERRQ(ierr);
2425     *subMat = B;
2426   } else {
2427     ierr = MatCopy_SeqAIJ(mat,*subMat,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
2428   }
2429   PetscFunctionReturn(0);
2430 }
2431 
2432 #undef __FUNCT__
2433 #define __FUNCT__ "MatILUFactor_SeqAIJ"
2434 PetscErrorCode MatILUFactor_SeqAIJ(Mat inA,IS row,IS col,const MatFactorInfo *info)
2435 {
2436   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)inA->data;
2437   PetscErrorCode ierr;
2438   Mat            outA;
2439   PetscBool      row_identity,col_identity;
2440 
2441   PetscFunctionBegin;
2442   if (info->levels != 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only levels=0 supported for in-place ilu");
2443 
2444   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
2445   ierr = ISIdentity(col,&col_identity);CHKERRQ(ierr);
2446 
2447   outA             = inA;
2448   outA->factortype = MAT_FACTOR_LU;
2449   ierr = PetscFree(inA->solvertype);CHKERRQ(ierr);
2450   ierr = PetscStrallocpy(MATSOLVERPETSC,&inA->solvertype);CHKERRQ(ierr);
2451 
2452   ierr = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
2453   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
2454 
2455   a->row = row;
2456 
2457   ierr = PetscObjectReference((PetscObject)col);CHKERRQ(ierr);
2458   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
2459 
2460   a->col = col;
2461 
2462   /* Create the inverse permutation so that it can be used in MatLUFactorNumeric() */
2463   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
2464   ierr = ISInvertPermutation(col,PETSC_DECIDE,&a->icol);CHKERRQ(ierr);
2465   ierr = PetscLogObjectParent((PetscObject)inA,(PetscObject)a->icol);CHKERRQ(ierr);
2466 
2467   if (!a->solve_work) { /* this matrix may have been factored before */
2468     ierr = PetscMalloc1(inA->rmap->n+1,&a->solve_work);CHKERRQ(ierr);
2469     ierr = PetscLogObjectMemory((PetscObject)inA, (inA->rmap->n+1)*sizeof(PetscScalar));CHKERRQ(ierr);
2470   }
2471 
2472   ierr = MatMarkDiagonal_SeqAIJ(inA);CHKERRQ(ierr);
2473   if (row_identity && col_identity) {
2474     ierr = MatLUFactorNumeric_SeqAIJ_inplace(outA,inA,info);CHKERRQ(ierr);
2475   } else {
2476     ierr = MatLUFactorNumeric_SeqAIJ_InplaceWithPerm(outA,inA,info);CHKERRQ(ierr);
2477   }
2478   PetscFunctionReturn(0);
2479 }
2480 
2481 #undef __FUNCT__
2482 #define __FUNCT__ "MatScale_SeqAIJ"
2483 PetscErrorCode MatScale_SeqAIJ(Mat inA,PetscScalar alpha)
2484 {
2485   Mat_SeqAIJ     *a     = (Mat_SeqAIJ*)inA->data;
2486   PetscScalar    oalpha = alpha;
2487   PetscErrorCode ierr;
2488   PetscBLASInt   one = 1,bnz;
2489 
2490   PetscFunctionBegin;
2491   ierr = PetscBLASIntCast(a->nz,&bnz);CHKERRQ(ierr);
2492   PetscStackCallBLAS("BLASscal",BLASscal_(&bnz,&oalpha,a->a,&one));
2493   ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
2494   ierr = MatSeqAIJInvalidateDiagonal(inA);CHKERRQ(ierr);
2495   PetscFunctionReturn(0);
2496 }
2497 
2498 #undef __FUNCT__
2499 #define __FUNCT__ "MatGetSubMatrices_SeqAIJ"
2500 PetscErrorCode MatGetSubMatrices_SeqAIJ(Mat A,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
2501 {
2502   PetscErrorCode ierr;
2503   PetscInt       i;
2504 
2505   PetscFunctionBegin;
2506   if (scall == MAT_INITIAL_MATRIX) {
2507     ierr = PetscMalloc1(n+1,B);CHKERRQ(ierr);
2508   }
2509 
2510   for (i=0; i<n; i++) {
2511     ierr = MatGetSubMatrix_SeqAIJ(A,irow[i],icol[i],PETSC_DECIDE,scall,&(*B)[i]);CHKERRQ(ierr);
2512   }
2513   PetscFunctionReturn(0);
2514 }
2515 
2516 #undef __FUNCT__
2517 #define __FUNCT__ "MatIncreaseOverlap_SeqAIJ"
2518 PetscErrorCode MatIncreaseOverlap_SeqAIJ(Mat A,PetscInt is_max,IS is[],PetscInt ov)
2519 {
2520   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2521   PetscErrorCode ierr;
2522   PetscInt       row,i,j,k,l,m,n,*nidx,isz,val;
2523   const PetscInt *idx;
2524   PetscInt       start,end,*ai,*aj;
2525   PetscBT        table;
2526 
2527   PetscFunctionBegin;
2528   m  = A->rmap->n;
2529   ai = a->i;
2530   aj = a->j;
2531 
2532   if (ov < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"illegal negative overlap value used");
2533 
2534   ierr = PetscMalloc1(m+1,&nidx);CHKERRQ(ierr);
2535   ierr = PetscBTCreate(m,&table);CHKERRQ(ierr);
2536 
2537   for (i=0; i<is_max; i++) {
2538     /* Initialize the two local arrays */
2539     isz  = 0;
2540     ierr = PetscBTMemzero(m,table);CHKERRQ(ierr);
2541 
2542     /* Extract the indices, assume there can be duplicate entries */
2543     ierr = ISGetIndices(is[i],&idx);CHKERRQ(ierr);
2544     ierr = ISGetLocalSize(is[i],&n);CHKERRQ(ierr);
2545 
2546     /* Enter these into the temp arrays. I.e., mark table[row], enter row into new index */
2547     for (j=0; j<n; ++j) {
2548       if (!PetscBTLookupSet(table,idx[j])) nidx[isz++] = idx[j];
2549     }
2550     ierr = ISRestoreIndices(is[i],&idx);CHKERRQ(ierr);
2551     ierr = ISDestroy(&is[i]);CHKERRQ(ierr);
2552 
2553     k = 0;
2554     for (j=0; j<ov; j++) { /* for each overlap */
2555       n = isz;
2556       for (; k<n; k++) { /* do only those rows in nidx[k], which are not done yet */
2557         row   = nidx[k];
2558         start = ai[row];
2559         end   = ai[row+1];
2560         for (l = start; l<end; l++) {
2561           val = aj[l];
2562           if (!PetscBTLookupSet(table,val)) nidx[isz++] = val;
2563         }
2564       }
2565     }
2566     ierr = ISCreateGeneral(PETSC_COMM_SELF,isz,nidx,PETSC_COPY_VALUES,(is+i));CHKERRQ(ierr);
2567   }
2568   ierr = PetscBTDestroy(&table);CHKERRQ(ierr);
2569   ierr = PetscFree(nidx);CHKERRQ(ierr);
2570   PetscFunctionReturn(0);
2571 }
2572 
2573 /* -------------------------------------------------------------- */
2574 #undef __FUNCT__
2575 #define __FUNCT__ "MatPermute_SeqAIJ"
2576 PetscErrorCode MatPermute_SeqAIJ(Mat A,IS rowp,IS colp,Mat *B)
2577 {
2578   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2579   PetscErrorCode ierr;
2580   PetscInt       i,nz = 0,m = A->rmap->n,n = A->cmap->n;
2581   const PetscInt *row,*col;
2582   PetscInt       *cnew,j,*lens;
2583   IS             icolp,irowp;
2584   PetscInt       *cwork = NULL;
2585   PetscScalar    *vwork = NULL;
2586 
2587   PetscFunctionBegin;
2588   ierr = ISInvertPermutation(rowp,PETSC_DECIDE,&irowp);CHKERRQ(ierr);
2589   ierr = ISGetIndices(irowp,&row);CHKERRQ(ierr);
2590   ierr = ISInvertPermutation(colp,PETSC_DECIDE,&icolp);CHKERRQ(ierr);
2591   ierr = ISGetIndices(icolp,&col);CHKERRQ(ierr);
2592 
2593   /* determine lengths of permuted rows */
2594   ierr = PetscMalloc1(m+1,&lens);CHKERRQ(ierr);
2595   for (i=0; i<m; i++) lens[row[i]] = a->i[i+1] - a->i[i];
2596   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
2597   ierr = MatSetSizes(*B,m,n,m,n);CHKERRQ(ierr);
2598   ierr = MatSetBlockSizesFromMats(*B,A,A);CHKERRQ(ierr);
2599   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2600   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*B,0,lens);CHKERRQ(ierr);
2601   ierr = PetscFree(lens);CHKERRQ(ierr);
2602 
2603   ierr = PetscMalloc1(n,&cnew);CHKERRQ(ierr);
2604   for (i=0; i<m; i++) {
2605     ierr = MatGetRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2606     for (j=0; j<nz; j++) cnew[j] = col[cwork[j]];
2607     ierr = MatSetValues_SeqAIJ(*B,1,&row[i],nz,cnew,vwork,INSERT_VALUES);CHKERRQ(ierr);
2608     ierr = MatRestoreRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2609   }
2610   ierr = PetscFree(cnew);CHKERRQ(ierr);
2611 
2612   (*B)->assembled = PETSC_FALSE;
2613 
2614   ierr = MatAssemblyBegin(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2615   ierr = MatAssemblyEnd(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2616   ierr = ISRestoreIndices(irowp,&row);CHKERRQ(ierr);
2617   ierr = ISRestoreIndices(icolp,&col);CHKERRQ(ierr);
2618   ierr = ISDestroy(&irowp);CHKERRQ(ierr);
2619   ierr = ISDestroy(&icolp);CHKERRQ(ierr);
2620   PetscFunctionReturn(0);
2621 }
2622 
2623 #undef __FUNCT__
2624 #define __FUNCT__ "MatCopy_SeqAIJ"
2625 PetscErrorCode MatCopy_SeqAIJ(Mat A,Mat B,MatStructure str)
2626 {
2627   PetscErrorCode ierr;
2628 
2629   PetscFunctionBegin;
2630   /* If the two matrices have the same copy implementation, use fast copy. */
2631   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
2632     Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2633     Mat_SeqAIJ *b = (Mat_SeqAIJ*)B->data;
2634 
2635     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");
2636     ierr = PetscMemcpy(b->a,a->a,(a->i[A->rmap->n])*sizeof(PetscScalar));CHKERRQ(ierr);
2637   } else {
2638     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
2639   }
2640   PetscFunctionReturn(0);
2641 }
2642 
2643 #undef __FUNCT__
2644 #define __FUNCT__ "MatSetUp_SeqAIJ"
2645 PetscErrorCode MatSetUp_SeqAIJ(Mat A)
2646 {
2647   PetscErrorCode ierr;
2648 
2649   PetscFunctionBegin;
2650   ierr =  MatSeqAIJSetPreallocation_SeqAIJ(A,PETSC_DEFAULT,0);CHKERRQ(ierr);
2651   PetscFunctionReturn(0);
2652 }
2653 
2654 #undef __FUNCT__
2655 #define __FUNCT__ "MatSeqAIJGetArray_SeqAIJ"
2656 PetscErrorCode MatSeqAIJGetArray_SeqAIJ(Mat A,PetscScalar *array[])
2657 {
2658   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2659 
2660   PetscFunctionBegin;
2661   *array = a->a;
2662   PetscFunctionReturn(0);
2663 }
2664 
2665 #undef __FUNCT__
2666 #define __FUNCT__ "MatSeqAIJRestoreArray_SeqAIJ"
2667 PetscErrorCode MatSeqAIJRestoreArray_SeqAIJ(Mat A,PetscScalar *array[])
2668 {
2669   PetscFunctionBegin;
2670   PetscFunctionReturn(0);
2671 }
2672 
2673 /*
2674    Computes the number of nonzeros per row needed for preallocation when X and Y
2675    have different nonzero structure.
2676 */
2677 #undef __FUNCT__
2678 #define __FUNCT__ "MatAXPYGetPreallocation_SeqX_private"
2679 PetscErrorCode MatAXPYGetPreallocation_SeqX_private(PetscInt m,const PetscInt *xi,const PetscInt *xj,const PetscInt *yi,const PetscInt *yj,PetscInt *nnz)
2680 {
2681   PetscInt       i,j,k,nzx,nzy;
2682 
2683   PetscFunctionBegin;
2684   /* Set the number of nonzeros in the new matrix */
2685   for (i=0; i<m; i++) {
2686     const PetscInt *xjj = xj+xi[i],*yjj = yj+yi[i];
2687     nzx = xi[i+1] - xi[i];
2688     nzy = yi[i+1] - yi[i];
2689     nnz[i] = 0;
2690     for (j=0,k=0; j<nzx; j++) {                   /* Point in X */
2691       for (; k<nzy && yjj[k]<xjj[j]; k++) nnz[i]++; /* Catch up to X */
2692       if (k<nzy && yjj[k]==xjj[j]) k++;             /* Skip duplicate */
2693       nnz[i]++;
2694     }
2695     for (; k<nzy; k++) nnz[i]++;
2696   }
2697   PetscFunctionReturn(0);
2698 }
2699 
2700 #undef __FUNCT__
2701 #define __FUNCT__ "MatAXPYGetPreallocation_SeqAIJ"
2702 PetscErrorCode MatAXPYGetPreallocation_SeqAIJ(Mat Y,Mat X,PetscInt *nnz)
2703 {
2704   PetscInt       m = Y->rmap->N;
2705   Mat_SeqAIJ     *x = (Mat_SeqAIJ*)X->data;
2706   Mat_SeqAIJ     *y = (Mat_SeqAIJ*)Y->data;
2707   PetscErrorCode ierr;
2708 
2709   PetscFunctionBegin;
2710   /* Set the number of nonzeros in the new matrix */
2711   ierr = MatAXPYGetPreallocation_SeqX_private(m,x->i,x->j,y->i,y->j,nnz);CHKERRQ(ierr);
2712   PetscFunctionReturn(0);
2713 }
2714 
2715 #undef __FUNCT__
2716 #define __FUNCT__ "MatAXPY_SeqAIJ"
2717 PetscErrorCode MatAXPY_SeqAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
2718 {
2719   PetscErrorCode ierr;
2720   Mat_SeqAIJ     *x = (Mat_SeqAIJ*)X->data,*y = (Mat_SeqAIJ*)Y->data;
2721   PetscBLASInt   one=1,bnz;
2722 
2723   PetscFunctionBegin;
2724   ierr = PetscBLASIntCast(x->nz,&bnz);CHKERRQ(ierr);
2725   if (str == SAME_NONZERO_PATTERN) {
2726     PetscScalar alpha = a;
2727     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
2728     ierr = MatSeqAIJInvalidateDiagonal(Y);CHKERRQ(ierr);
2729     ierr = PetscObjectStateIncrease((PetscObject)Y);CHKERRQ(ierr);
2730   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
2731     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
2732   } else {
2733     Mat      B;
2734     PetscInt *nnz;
2735     ierr = PetscMalloc1(Y->rmap->N,&nnz);CHKERRQ(ierr);
2736     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
2737     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
2738     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
2739     ierr = MatSetBlockSizesFromMats(B,Y,Y);CHKERRQ(ierr);
2740     ierr = MatSetType(B,(MatType) ((PetscObject)Y)->type_name);CHKERRQ(ierr);
2741     ierr = MatAXPYGetPreallocation_SeqAIJ(Y,X,nnz);CHKERRQ(ierr);
2742     ierr = MatSeqAIJSetPreallocation(B,0,nnz);CHKERRQ(ierr);
2743     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
2744     ierr = MatHeaderReplace(Y,&B);CHKERRQ(ierr);
2745     ierr = PetscFree(nnz);CHKERRQ(ierr);
2746   }
2747   PetscFunctionReturn(0);
2748 }
2749 
2750 #undef __FUNCT__
2751 #define __FUNCT__ "MatConjugate_SeqAIJ"
2752 PetscErrorCode  MatConjugate_SeqAIJ(Mat mat)
2753 {
2754 #if defined(PETSC_USE_COMPLEX)
2755   Mat_SeqAIJ  *aij = (Mat_SeqAIJ*)mat->data;
2756   PetscInt    i,nz;
2757   PetscScalar *a;
2758 
2759   PetscFunctionBegin;
2760   nz = aij->nz;
2761   a  = aij->a;
2762   for (i=0; i<nz; i++) a[i] = PetscConj(a[i]);
2763 #else
2764   PetscFunctionBegin;
2765 #endif
2766   PetscFunctionReturn(0);
2767 }
2768 
2769 #undef __FUNCT__
2770 #define __FUNCT__ "MatGetRowMaxAbs_SeqAIJ"
2771 PetscErrorCode MatGetRowMaxAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2772 {
2773   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2774   PetscErrorCode ierr;
2775   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2776   PetscReal      atmp;
2777   PetscScalar    *x;
2778   MatScalar      *aa;
2779 
2780   PetscFunctionBegin;
2781   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2782   aa = a->a;
2783   ai = a->i;
2784   aj = a->j;
2785 
2786   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2787   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2788   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2789   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2790   for (i=0; i<m; i++) {
2791     ncols = ai[1] - ai[0]; ai++;
2792     x[i]  = 0.0;
2793     for (j=0; j<ncols; j++) {
2794       atmp = PetscAbsScalar(*aa);
2795       if (PetscAbsScalar(x[i]) < atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
2796       aa++; aj++;
2797     }
2798   }
2799   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2800   PetscFunctionReturn(0);
2801 }
2802 
2803 #undef __FUNCT__
2804 #define __FUNCT__ "MatGetRowMax_SeqAIJ"
2805 PetscErrorCode MatGetRowMax_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2806 {
2807   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2808   PetscErrorCode ierr;
2809   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2810   PetscScalar    *x;
2811   MatScalar      *aa;
2812 
2813   PetscFunctionBegin;
2814   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2815   aa = a->a;
2816   ai = a->i;
2817   aj = a->j;
2818 
2819   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2820   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2821   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2822   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2823   for (i=0; i<m; i++) {
2824     ncols = ai[1] - ai[0]; ai++;
2825     if (ncols == A->cmap->n) { /* row is dense */
2826       x[i] = *aa; if (idx) idx[i] = 0;
2827     } else {  /* row is sparse so already KNOW maximum is 0.0 or higher */
2828       x[i] = 0.0;
2829       if (idx) {
2830         idx[i] = 0; /* in case ncols is zero */
2831         for (j=0;j<ncols;j++) { /* find first implicit 0.0 in the row */
2832           if (aj[j] > j) {
2833             idx[i] = j;
2834             break;
2835           }
2836         }
2837       }
2838     }
2839     for (j=0; j<ncols; j++) {
2840       if (PetscRealPart(x[i]) < PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
2841       aa++; aj++;
2842     }
2843   }
2844   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2845   PetscFunctionReturn(0);
2846 }
2847 
2848 #undef __FUNCT__
2849 #define __FUNCT__ "MatGetRowMinAbs_SeqAIJ"
2850 PetscErrorCode MatGetRowMinAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2851 {
2852   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2853   PetscErrorCode ierr;
2854   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2855   PetscReal      atmp;
2856   PetscScalar    *x;
2857   MatScalar      *aa;
2858 
2859   PetscFunctionBegin;
2860   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2861   aa = a->a;
2862   ai = a->i;
2863   aj = a->j;
2864 
2865   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2866   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2867   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2868   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);
2869   for (i=0; i<m; i++) {
2870     ncols = ai[1] - ai[0]; ai++;
2871     if (ncols) {
2872       /* Get first nonzero */
2873       for (j = 0; j < ncols; j++) {
2874         atmp = PetscAbsScalar(aa[j]);
2875         if (atmp > 1.0e-12) {
2876           x[i] = atmp;
2877           if (idx) idx[i] = aj[j];
2878           break;
2879         }
2880       }
2881       if (j == ncols) {x[i] = PetscAbsScalar(*aa); if (idx) idx[i] = *aj;}
2882     } else {
2883       x[i] = 0.0; if (idx) idx[i] = 0;
2884     }
2885     for (j = 0; j < ncols; j++) {
2886       atmp = PetscAbsScalar(*aa);
2887       if (atmp > 1.0e-12 && PetscAbsScalar(x[i]) > atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
2888       aa++; aj++;
2889     }
2890   }
2891   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2892   PetscFunctionReturn(0);
2893 }
2894 
2895 #undef __FUNCT__
2896 #define __FUNCT__ "MatGetRowMin_SeqAIJ"
2897 PetscErrorCode MatGetRowMin_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2898 {
2899   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
2900   PetscErrorCode  ierr;
2901   PetscInt        i,j,m = A->rmap->n,ncols,n;
2902   const PetscInt  *ai,*aj;
2903   PetscScalar     *x;
2904   const MatScalar *aa;
2905 
2906   PetscFunctionBegin;
2907   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2908   aa = a->a;
2909   ai = a->i;
2910   aj = a->j;
2911 
2912   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2913   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2914   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2915   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2916   for (i=0; i<m; i++) {
2917     ncols = ai[1] - ai[0]; ai++;
2918     if (ncols == A->cmap->n) { /* row is dense */
2919       x[i] = *aa; if (idx) idx[i] = 0;
2920     } else {  /* row is sparse so already KNOW minimum is 0.0 or lower */
2921       x[i] = 0.0;
2922       if (idx) {   /* find first implicit 0.0 in the row */
2923         idx[i] = 0; /* in case ncols is zero */
2924         for (j=0; j<ncols; j++) {
2925           if (aj[j] > j) {
2926             idx[i] = j;
2927             break;
2928           }
2929         }
2930       }
2931     }
2932     for (j=0; j<ncols; j++) {
2933       if (PetscRealPart(x[i]) > PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
2934       aa++; aj++;
2935     }
2936   }
2937   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2938   PetscFunctionReturn(0);
2939 }
2940 
2941 #include <petscblaslapack.h>
2942 #include <petsc/private/kernels/blockinvert.h>
2943 
2944 #undef __FUNCT__
2945 #define __FUNCT__ "MatInvertBlockDiagonal_SeqAIJ"
2946 PetscErrorCode MatInvertBlockDiagonal_SeqAIJ(Mat A,const PetscScalar **values)
2947 {
2948   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
2949   PetscErrorCode ierr;
2950   PetscInt       i,bs = PetscAbs(A->rmap->bs),mbs = A->rmap->n/bs,ipvt[5],bs2 = bs*bs,*v_pivots,ij[7],*IJ,j;
2951   MatScalar      *diag,work[25],*v_work;
2952   PetscReal      shift = 0.0;
2953   PetscBool      allowzeropivot,zeropivotdetected=PETSC_FALSE;
2954 
2955   PetscFunctionBegin;
2956   allowzeropivot = PetscNot(A->erroriffailure);
2957   if (a->ibdiagvalid) {
2958     if (values) *values = a->ibdiag;
2959     PetscFunctionReturn(0);
2960   }
2961   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
2962   if (!a->ibdiag) {
2963     ierr = PetscMalloc1(bs2*mbs,&a->ibdiag);CHKERRQ(ierr);
2964     ierr = PetscLogObjectMemory((PetscObject)A,bs2*mbs*sizeof(PetscScalar));CHKERRQ(ierr);
2965   }
2966   diag = a->ibdiag;
2967   if (values) *values = a->ibdiag;
2968   /* factor and invert each block */
2969   switch (bs) {
2970   case 1:
2971     for (i=0; i<mbs; i++) {
2972       ierr    = MatGetValues(A,1,&i,1,&i,diag+i);CHKERRQ(ierr);
2973       if (PetscAbsScalar(diag[i] + shift) < PETSC_MACHINE_EPSILON) {
2974         if (allowzeropivot) {
2975           A->factorerrortype             = MAT_FACTOR_NUMERIC_ZEROPIVOT;
2976           A->factorerror_zeropivot_value = PetscAbsScalar(diag[i]);
2977           A->factorerror_zeropivot_row   = i;
2978           ierr = PetscInfo3(A,"Zero pivot, row %D pivot %g tolerance %g\n",i,(double)PetscAbsScalar(diag[i]),(double)PETSC_MACHINE_EPSILON);CHKERRQ(ierr);
2979         } else SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_MAT_LU_ZRPVT,"Zero pivot, row %D pivot %g tolerance %g",i,(double)PetscAbsScalar(diag[i]),(double)PETSC_MACHINE_EPSILON);
2980       }
2981       diag[i] = (PetscScalar)1.0 / (diag[i] + shift);
2982     }
2983     break;
2984   case 2:
2985     for (i=0; i<mbs; i++) {
2986       ij[0] = 2*i; ij[1] = 2*i + 1;
2987       ierr  = MatGetValues(A,2,ij,2,ij,diag);CHKERRQ(ierr);
2988       ierr  = PetscKernel_A_gets_inverse_A_2(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
2989       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
2990       ierr  = PetscKernel_A_gets_transpose_A_2(diag);CHKERRQ(ierr);
2991       diag += 4;
2992     }
2993     break;
2994   case 3:
2995     for (i=0; i<mbs; i++) {
2996       ij[0] = 3*i; ij[1] = 3*i + 1; ij[2] = 3*i + 2;
2997       ierr  = MatGetValues(A,3,ij,3,ij,diag);CHKERRQ(ierr);
2998       ierr  = PetscKernel_A_gets_inverse_A_3(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
2999       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3000       ierr  = PetscKernel_A_gets_transpose_A_3(diag);CHKERRQ(ierr);
3001       diag += 9;
3002     }
3003     break;
3004   case 4:
3005     for (i=0; i<mbs; i++) {
3006       ij[0] = 4*i; ij[1] = 4*i + 1; ij[2] = 4*i + 2; ij[3] = 4*i + 3;
3007       ierr  = MatGetValues(A,4,ij,4,ij,diag);CHKERRQ(ierr);
3008       ierr  = PetscKernel_A_gets_inverse_A_4(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3009       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3010       ierr  = PetscKernel_A_gets_transpose_A_4(diag);CHKERRQ(ierr);
3011       diag += 16;
3012     }
3013     break;
3014   case 5:
3015     for (i=0; i<mbs; i++) {
3016       ij[0] = 5*i; ij[1] = 5*i + 1; ij[2] = 5*i + 2; ij[3] = 5*i + 3; ij[4] = 5*i + 4;
3017       ierr  = MatGetValues(A,5,ij,5,ij,diag);CHKERRQ(ierr);
3018       ierr  = PetscKernel_A_gets_inverse_A_5(diag,ipvt,work,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3019       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3020       ierr  = PetscKernel_A_gets_transpose_A_5(diag);CHKERRQ(ierr);
3021       diag += 25;
3022     }
3023     break;
3024   case 6:
3025     for (i=0; i<mbs; i++) {
3026       ij[0] = 6*i; ij[1] = 6*i + 1; ij[2] = 6*i + 2; ij[3] = 6*i + 3; ij[4] = 6*i + 4; ij[5] = 6*i + 5;
3027       ierr  = MatGetValues(A,6,ij,6,ij,diag);CHKERRQ(ierr);
3028       ierr  = PetscKernel_A_gets_inverse_A_6(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3029       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3030       ierr  = PetscKernel_A_gets_transpose_A_6(diag);CHKERRQ(ierr);
3031       diag += 36;
3032     }
3033     break;
3034   case 7:
3035     for (i=0; i<mbs; i++) {
3036       ij[0] = 7*i; ij[1] = 7*i + 1; ij[2] = 7*i + 2; ij[3] = 7*i + 3; ij[4] = 7*i + 4; ij[5] = 7*i + 5; ij[5] = 7*i + 6;
3037       ierr  = MatGetValues(A,7,ij,7,ij,diag);CHKERRQ(ierr);
3038       ierr  = PetscKernel_A_gets_inverse_A_7(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3039       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3040       ierr  = PetscKernel_A_gets_transpose_A_7(diag);CHKERRQ(ierr);
3041       diag += 49;
3042     }
3043     break;
3044   default:
3045     ierr = PetscMalloc3(bs,&v_work,bs,&v_pivots,bs,&IJ);CHKERRQ(ierr);
3046     for (i=0; i<mbs; i++) {
3047       for (j=0; j<bs; j++) {
3048         IJ[j] = bs*i + j;
3049       }
3050       ierr  = MatGetValues(A,bs,IJ,bs,IJ,diag);CHKERRQ(ierr);
3051       ierr  = PetscKernel_A_gets_inverse_A(bs,diag,v_pivots,v_work,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
3052       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
3053       ierr  = PetscKernel_A_gets_transpose_A_N(diag,bs);CHKERRQ(ierr);
3054       diag += bs2;
3055     }
3056     ierr = PetscFree3(v_work,v_pivots,IJ);CHKERRQ(ierr);
3057   }
3058   a->ibdiagvalid = PETSC_TRUE;
3059   PetscFunctionReturn(0);
3060 }
3061 
3062 #undef __FUNCT__
3063 #define __FUNCT__ "MatSetRandom_SeqAIJ"
3064 static PetscErrorCode  MatSetRandom_SeqAIJ(Mat x,PetscRandom rctx)
3065 {
3066   PetscErrorCode ierr;
3067   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)x->data;
3068   PetscScalar    a;
3069   PetscInt       m,n,i,j,col;
3070 
3071   PetscFunctionBegin;
3072   if (!x->assembled) {
3073     ierr = MatGetSize(x,&m,&n);CHKERRQ(ierr);
3074     for (i=0; i<m; i++) {
3075       for (j=0; j<aij->imax[i]; j++) {
3076         ierr = PetscRandomGetValue(rctx,&a);CHKERRQ(ierr);
3077         col  = (PetscInt)(n*PetscRealPart(a));
3078         ierr = MatSetValues(x,1,&i,1,&col,&a,ADD_VALUES);CHKERRQ(ierr);
3079       }
3080     }
3081   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet coded");
3082   ierr = MatAssemblyBegin(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3083   ierr = MatAssemblyEnd(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3084   PetscFunctionReturn(0);
3085 }
3086 
3087 #undef __FUNCT__
3088 #define __FUNCT__ "MatShift_SeqAIJ"
3089 PetscErrorCode MatShift_SeqAIJ(Mat Y,PetscScalar a)
3090 {
3091   PetscErrorCode ierr;
3092   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)Y->data;
3093 
3094   PetscFunctionBegin;
3095   if (!Y->preallocated || !aij->nz) {
3096     ierr = MatSeqAIJSetPreallocation(Y,1,NULL);CHKERRQ(ierr);
3097   }
3098   ierr = MatShift_Basic(Y,a);CHKERRQ(ierr);
3099   PetscFunctionReturn(0);
3100 }
3101 
3102 /* -------------------------------------------------------------------*/
3103 static struct _MatOps MatOps_Values = { MatSetValues_SeqAIJ,
3104                                         MatGetRow_SeqAIJ,
3105                                         MatRestoreRow_SeqAIJ,
3106                                         MatMult_SeqAIJ,
3107                                 /*  4*/ MatMultAdd_SeqAIJ,
3108                                         MatMultTranspose_SeqAIJ,
3109                                         MatMultTransposeAdd_SeqAIJ,
3110                                         0,
3111                                         0,
3112                                         0,
3113                                 /* 10*/ 0,
3114                                         MatLUFactor_SeqAIJ,
3115                                         0,
3116                                         MatSOR_SeqAIJ,
3117                                         MatTranspose_SeqAIJ,
3118                                 /*1 5*/ MatGetInfo_SeqAIJ,
3119                                         MatEqual_SeqAIJ,
3120                                         MatGetDiagonal_SeqAIJ,
3121                                         MatDiagonalScale_SeqAIJ,
3122                                         MatNorm_SeqAIJ,
3123                                 /* 20*/ 0,
3124                                         MatAssemblyEnd_SeqAIJ,
3125                                         MatSetOption_SeqAIJ,
3126                                         MatZeroEntries_SeqAIJ,
3127                                 /* 24*/ MatZeroRows_SeqAIJ,
3128                                         0,
3129                                         0,
3130                                         0,
3131                                         0,
3132                                 /* 29*/ MatSetUp_SeqAIJ,
3133                                         0,
3134                                         0,
3135                                         0,
3136                                         0,
3137                                 /* 34*/ MatDuplicate_SeqAIJ,
3138                                         0,
3139                                         0,
3140                                         MatILUFactor_SeqAIJ,
3141                                         0,
3142                                 /* 39*/ MatAXPY_SeqAIJ,
3143                                         MatGetSubMatrices_SeqAIJ,
3144                                         MatIncreaseOverlap_SeqAIJ,
3145                                         MatGetValues_SeqAIJ,
3146                                         MatCopy_SeqAIJ,
3147                                 /* 44*/ MatGetRowMax_SeqAIJ,
3148                                         MatScale_SeqAIJ,
3149                                         MatShift_SeqAIJ,
3150                                         MatDiagonalSet_SeqAIJ,
3151                                         MatZeroRowsColumns_SeqAIJ,
3152                                 /* 49*/ MatSetRandom_SeqAIJ,
3153                                         MatGetRowIJ_SeqAIJ,
3154                                         MatRestoreRowIJ_SeqAIJ,
3155                                         MatGetColumnIJ_SeqAIJ,
3156                                         MatRestoreColumnIJ_SeqAIJ,
3157                                 /* 54*/ MatFDColoringCreate_SeqXAIJ,
3158                                         0,
3159                                         0,
3160                                         MatPermute_SeqAIJ,
3161                                         0,
3162                                 /* 59*/ 0,
3163                                         MatDestroy_SeqAIJ,
3164                                         MatView_SeqAIJ,
3165                                         0,
3166                                         MatMatMatMult_SeqAIJ_SeqAIJ_SeqAIJ,
3167                                 /* 64*/ MatMatMatMultSymbolic_SeqAIJ_SeqAIJ_SeqAIJ,
3168                                         MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqAIJ,
3169                                         0,
3170                                         0,
3171                                         0,
3172                                 /* 69*/ MatGetRowMaxAbs_SeqAIJ,
3173                                         MatGetRowMinAbs_SeqAIJ,
3174                                         0,
3175                                         0,
3176                                         0,
3177                                 /* 74*/ 0,
3178                                         MatFDColoringApply_AIJ,
3179                                         0,
3180                                         0,
3181                                         0,
3182                                 /* 79*/ MatFindZeroDiagonals_SeqAIJ,
3183                                         0,
3184                                         0,
3185                                         0,
3186                                         MatLoad_SeqAIJ,
3187                                 /* 84*/ MatIsSymmetric_SeqAIJ,
3188                                         MatIsHermitian_SeqAIJ,
3189                                         0,
3190                                         0,
3191                                         0,
3192                                 /* 89*/ MatMatMult_SeqAIJ_SeqAIJ,
3193                                         MatMatMultSymbolic_SeqAIJ_SeqAIJ,
3194                                         MatMatMultNumeric_SeqAIJ_SeqAIJ,
3195                                         MatPtAP_SeqAIJ_SeqAIJ,
3196                                         MatPtAPSymbolic_SeqAIJ_SeqAIJ_DenseAxpy,
3197                                 /* 94*/ MatPtAPNumeric_SeqAIJ_SeqAIJ,
3198                                         MatMatTransposeMult_SeqAIJ_SeqAIJ,
3199                                         MatMatTransposeMultSymbolic_SeqAIJ_SeqAIJ,
3200                                         MatMatTransposeMultNumeric_SeqAIJ_SeqAIJ,
3201                                         0,
3202                                 /* 99*/ 0,
3203                                         0,
3204                                         0,
3205                                         MatConjugate_SeqAIJ,
3206                                         0,
3207                                 /*104*/ MatSetValuesRow_SeqAIJ,
3208                                         MatRealPart_SeqAIJ,
3209                                         MatImaginaryPart_SeqAIJ,
3210                                         0,
3211                                         0,
3212                                 /*109*/ MatMatSolve_SeqAIJ,
3213                                         0,
3214                                         MatGetRowMin_SeqAIJ,
3215                                         0,
3216                                         MatMissingDiagonal_SeqAIJ,
3217                                 /*114*/ 0,
3218                                         0,
3219                                         0,
3220                                         0,
3221                                         0,
3222                                 /*119*/ 0,
3223                                         0,
3224                                         0,
3225                                         0,
3226                                         MatGetMultiProcBlock_SeqAIJ,
3227                                 /*124*/ MatFindNonzeroRows_SeqAIJ,
3228                                         MatGetColumnNorms_SeqAIJ,
3229                                         MatInvertBlockDiagonal_SeqAIJ,
3230                                         0,
3231                                         0,
3232                                 /*129*/ 0,
3233                                         MatTransposeMatMult_SeqAIJ_SeqAIJ,
3234                                         MatTransposeMatMultSymbolic_SeqAIJ_SeqAIJ,
3235                                         MatTransposeMatMultNumeric_SeqAIJ_SeqAIJ,
3236                                         MatTransposeColoringCreate_SeqAIJ,
3237                                 /*134*/ MatTransColoringApplySpToDen_SeqAIJ,
3238                                         MatTransColoringApplyDenToSp_SeqAIJ,
3239                                         MatRARt_SeqAIJ_SeqAIJ,
3240                                         MatRARtSymbolic_SeqAIJ_SeqAIJ,
3241                                         MatRARtNumeric_SeqAIJ_SeqAIJ,
3242                                  /*139*/0,
3243                                         0,
3244                                         0,
3245                                         MatFDColoringSetUp_SeqXAIJ,
3246                                         MatFindOffBlockDiagonalEntries_SeqAIJ,
3247                                  /*144*/MatCreateMPIMatConcatenateSeqMat_SeqAIJ
3248 };
3249 
3250 #undef __FUNCT__
3251 #define __FUNCT__ "MatSeqAIJSetColumnIndices_SeqAIJ"
3252 PetscErrorCode  MatSeqAIJSetColumnIndices_SeqAIJ(Mat mat,PetscInt *indices)
3253 {
3254   Mat_SeqAIJ *aij = (Mat_SeqAIJ*)mat->data;
3255   PetscInt   i,nz,n;
3256 
3257   PetscFunctionBegin;
3258   nz = aij->maxnz;
3259   n  = mat->rmap->n;
3260   for (i=0; i<nz; i++) {
3261     aij->j[i] = indices[i];
3262   }
3263   aij->nz = nz;
3264   for (i=0; i<n; i++) {
3265     aij->ilen[i] = aij->imax[i];
3266   }
3267   PetscFunctionReturn(0);
3268 }
3269 
3270 #undef __FUNCT__
3271 #define __FUNCT__ "MatSeqAIJSetColumnIndices"
3272 /*@
3273     MatSeqAIJSetColumnIndices - Set the column indices for all the rows
3274        in the matrix.
3275 
3276   Input Parameters:
3277 +  mat - the SeqAIJ matrix
3278 -  indices - the column indices
3279 
3280   Level: advanced
3281 
3282   Notes:
3283     This can be called if you have precomputed the nonzero structure of the
3284   matrix and want to provide it to the matrix object to improve the performance
3285   of the MatSetValues() operation.
3286 
3287     You MUST have set the correct numbers of nonzeros per row in the call to
3288   MatCreateSeqAIJ(), and the columns indices MUST be sorted.
3289 
3290     MUST be called before any calls to MatSetValues();
3291 
3292     The indices should start with zero, not one.
3293 
3294 @*/
3295 PetscErrorCode  MatSeqAIJSetColumnIndices(Mat mat,PetscInt *indices)
3296 {
3297   PetscErrorCode ierr;
3298 
3299   PetscFunctionBegin;
3300   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3301   PetscValidPointer(indices,2);
3302   ierr = PetscUseMethod(mat,"MatSeqAIJSetColumnIndices_C",(Mat,PetscInt*),(mat,indices));CHKERRQ(ierr);
3303   PetscFunctionReturn(0);
3304 }
3305 
3306 /* ----------------------------------------------------------------------------------------*/
3307 
3308 #undef __FUNCT__
3309 #define __FUNCT__ "MatStoreValues_SeqAIJ"
3310 PetscErrorCode  MatStoreValues_SeqAIJ(Mat mat)
3311 {
3312   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3313   PetscErrorCode ierr;
3314   size_t         nz = aij->i[mat->rmap->n];
3315 
3316   PetscFunctionBegin;
3317   if (!aij->nonew) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3318 
3319   /* allocate space for values if not already there */
3320   if (!aij->saved_values) {
3321     ierr = PetscMalloc1(nz+1,&aij->saved_values);CHKERRQ(ierr);
3322     ierr = PetscLogObjectMemory((PetscObject)mat,(nz+1)*sizeof(PetscScalar));CHKERRQ(ierr);
3323   }
3324 
3325   /* copy values over */
3326   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3327   PetscFunctionReturn(0);
3328 }
3329 
3330 #undef __FUNCT__
3331 #define __FUNCT__ "MatStoreValues"
3332 /*@
3333     MatStoreValues - Stashes a copy of the matrix values; this allows, for
3334        example, reuse of the linear part of a Jacobian, while recomputing the
3335        nonlinear portion.
3336 
3337    Collect on Mat
3338 
3339   Input Parameters:
3340 .  mat - the matrix (currently only AIJ matrices support this option)
3341 
3342   Level: advanced
3343 
3344   Common Usage, with SNESSolve():
3345 $    Create Jacobian matrix
3346 $    Set linear terms into matrix
3347 $    Apply boundary conditions to matrix, at this time matrix must have
3348 $      final nonzero structure (i.e. setting the nonlinear terms and applying
3349 $      boundary conditions again will not change the nonzero structure
3350 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3351 $    ierr = MatStoreValues(mat);
3352 $    Call SNESSetJacobian() with matrix
3353 $    In your Jacobian routine
3354 $      ierr = MatRetrieveValues(mat);
3355 $      Set nonlinear terms in matrix
3356 
3357   Common Usage without SNESSolve(), i.e. when you handle nonlinear solve yourself:
3358 $    // build linear portion of Jacobian
3359 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3360 $    ierr = MatStoreValues(mat);
3361 $    loop over nonlinear iterations
3362 $       ierr = MatRetrieveValues(mat);
3363 $       // call MatSetValues(mat,...) to set nonliner portion of Jacobian
3364 $       // call MatAssemblyBegin/End() on matrix
3365 $       Solve linear system with Jacobian
3366 $    endloop
3367 
3368   Notes:
3369     Matrix must already be assemblied before calling this routine
3370     Must set the matrix option MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE); before
3371     calling this routine.
3372 
3373     When this is called multiple times it overwrites the previous set of stored values
3374     and does not allocated additional space.
3375 
3376 .seealso: MatRetrieveValues()
3377 
3378 @*/
3379 PetscErrorCode  MatStoreValues(Mat mat)
3380 {
3381   PetscErrorCode ierr;
3382 
3383   PetscFunctionBegin;
3384   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3385   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3386   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3387   ierr = PetscUseMethod(mat,"MatStoreValues_C",(Mat),(mat));CHKERRQ(ierr);
3388   PetscFunctionReturn(0);
3389 }
3390 
3391 #undef __FUNCT__
3392 #define __FUNCT__ "MatRetrieveValues_SeqAIJ"
3393 PetscErrorCode  MatRetrieveValues_SeqAIJ(Mat mat)
3394 {
3395   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3396   PetscErrorCode ierr;
3397   PetscInt       nz = aij->i[mat->rmap->n];
3398 
3399   PetscFunctionBegin;
3400   if (!aij->nonew) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3401   if (!aij->saved_values) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
3402   /* copy values over */
3403   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3404   PetscFunctionReturn(0);
3405 }
3406 
3407 #undef __FUNCT__
3408 #define __FUNCT__ "MatRetrieveValues"
3409 /*@
3410     MatRetrieveValues - Retrieves the copy of the matrix values; this allows, for
3411        example, reuse of the linear part of a Jacobian, while recomputing the
3412        nonlinear portion.
3413 
3414    Collect on Mat
3415 
3416   Input Parameters:
3417 .  mat - the matrix (currently on AIJ matrices support this option)
3418 
3419   Level: advanced
3420 
3421 .seealso: MatStoreValues()
3422 
3423 @*/
3424 PetscErrorCode  MatRetrieveValues(Mat mat)
3425 {
3426   PetscErrorCode ierr;
3427 
3428   PetscFunctionBegin;
3429   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3430   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3431   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3432   ierr = PetscUseMethod(mat,"MatRetrieveValues_C",(Mat),(mat));CHKERRQ(ierr);
3433   PetscFunctionReturn(0);
3434 }
3435 
3436 
3437 /* --------------------------------------------------------------------------------*/
3438 #undef __FUNCT__
3439 #define __FUNCT__ "MatCreateSeqAIJ"
3440 /*@C
3441    MatCreateSeqAIJ - Creates a sparse matrix in AIJ (compressed row) format
3442    (the default parallel PETSc format).  For good matrix assembly performance
3443    the user should preallocate the matrix storage by setting the parameter nz
3444    (or the array nnz).  By setting these parameters accurately, performance
3445    during matrix assembly can be increased by more than a factor of 50.
3446 
3447    Collective on MPI_Comm
3448 
3449    Input Parameters:
3450 +  comm - MPI communicator, set to PETSC_COMM_SELF
3451 .  m - number of rows
3452 .  n - number of columns
3453 .  nz - number of nonzeros per row (same for all rows)
3454 -  nnz - array containing the number of nonzeros in the various rows
3455          (possibly different for each row) or NULL
3456 
3457    Output Parameter:
3458 .  A - the matrix
3459 
3460    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3461    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3462    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3463 
3464    Notes:
3465    If nnz is given then nz is ignored
3466 
3467    The AIJ format (also called the Yale sparse matrix format or
3468    compressed row storage), is fully compatible with standard Fortran 77
3469    storage.  That is, the stored row and column indices can begin at
3470    either one (as in Fortran) or zero.  See the users' manual for details.
3471 
3472    Specify the preallocated storage with either nz or nnz (not both).
3473    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3474    allocation.  For large problems you MUST preallocate memory or you
3475    will get TERRIBLE performance, see the users' manual chapter on matrices.
3476 
3477    By default, this format uses inodes (identical nodes) when possible, to
3478    improve numerical efficiency of matrix-vector products and solves. We
3479    search for consecutive rows with the same nonzero structure, thereby
3480    reusing matrix information to achieve increased efficiency.
3481 
3482    Options Database Keys:
3483 +  -mat_no_inode  - Do not use inodes
3484 -  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3485 
3486    Level: intermediate
3487 
3488 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays()
3489 
3490 @*/
3491 PetscErrorCode  MatCreateSeqAIJ(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
3492 {
3493   PetscErrorCode ierr;
3494 
3495   PetscFunctionBegin;
3496   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3497   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
3498   ierr = MatSetType(*A,MATSEQAIJ);CHKERRQ(ierr);
3499   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*A,nz,nnz);CHKERRQ(ierr);
3500   PetscFunctionReturn(0);
3501 }
3502 
3503 #undef __FUNCT__
3504 #define __FUNCT__ "MatSeqAIJSetPreallocation"
3505 /*@C
3506    MatSeqAIJSetPreallocation - For good matrix assembly performance
3507    the user should preallocate the matrix storage by setting the parameter nz
3508    (or the array nnz).  By setting these parameters accurately, performance
3509    during matrix assembly can be increased by more than a factor of 50.
3510 
3511    Collective on MPI_Comm
3512 
3513    Input Parameters:
3514 +  B - The matrix
3515 .  nz - number of nonzeros per row (same for all rows)
3516 -  nnz - array containing the number of nonzeros in the various rows
3517          (possibly different for each row) or NULL
3518 
3519    Notes:
3520      If nnz is given then nz is ignored
3521 
3522     The AIJ format (also called the Yale sparse matrix format or
3523    compressed row storage), is fully compatible with standard Fortran 77
3524    storage.  That is, the stored row and column indices can begin at
3525    either one (as in Fortran) or zero.  See the users' manual for details.
3526 
3527    Specify the preallocated storage with either nz or nnz (not both).
3528    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3529    allocation.  For large problems you MUST preallocate memory or you
3530    will get TERRIBLE performance, see the users' manual chapter on matrices.
3531 
3532    You can call MatGetInfo() to get information on how effective the preallocation was;
3533    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3534    You can also run with the option -info and look for messages with the string
3535    malloc in them to see if additional memory allocation was needed.
3536 
3537    Developers: Use nz of MAT_SKIP_ALLOCATION to not allocate any space for the matrix
3538    entries or columns indices
3539 
3540    By default, this format uses inodes (identical nodes) when possible, to
3541    improve numerical efficiency of matrix-vector products and solves. We
3542    search for consecutive rows with the same nonzero structure, thereby
3543    reusing matrix information to achieve increased efficiency.
3544 
3545    Options Database Keys:
3546 +  -mat_no_inode  - Do not use inodes
3547 .  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3548 -  -mat_aij_oneindex - Internally use indexing starting at 1
3549         rather than 0.  Note that when calling MatSetValues(),
3550         the user still MUST index entries starting at 0!
3551 
3552    Level: intermediate
3553 
3554 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays(), MatGetInfo()
3555 
3556 @*/
3557 PetscErrorCode  MatSeqAIJSetPreallocation(Mat B,PetscInt nz,const PetscInt nnz[])
3558 {
3559   PetscErrorCode ierr;
3560 
3561   PetscFunctionBegin;
3562   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3563   PetscValidType(B,1);
3564   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocation_C",(Mat,PetscInt,const PetscInt[]),(B,nz,nnz));CHKERRQ(ierr);
3565   PetscFunctionReturn(0);
3566 }
3567 
3568 #undef __FUNCT__
3569 #define __FUNCT__ "MatSeqAIJSetPreallocation_SeqAIJ"
3570 PetscErrorCode  MatSeqAIJSetPreallocation_SeqAIJ(Mat B,PetscInt nz,const PetscInt *nnz)
3571 {
3572   Mat_SeqAIJ     *b;
3573   PetscBool      skipallocation = PETSC_FALSE,realalloc = PETSC_FALSE;
3574   PetscErrorCode ierr;
3575   PetscInt       i;
3576 
3577   PetscFunctionBegin;
3578   if (nz >= 0 || nnz) realalloc = PETSC_TRUE;
3579   if (nz == MAT_SKIP_ALLOCATION) {
3580     skipallocation = PETSC_TRUE;
3581     nz             = 0;
3582   }
3583 
3584   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3585   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3586 
3587   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
3588   if (nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %D",nz);
3589   if (nnz) {
3590     for (i=0; i<B->rmap->n; i++) {
3591       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]);
3592       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);
3593     }
3594   }
3595 
3596   B->preallocated = PETSC_TRUE;
3597 
3598   b = (Mat_SeqAIJ*)B->data;
3599 
3600   if (!skipallocation) {
3601     if (!b->imax) {
3602       ierr = PetscMalloc2(B->rmap->n,&b->imax,B->rmap->n,&b->ilen);CHKERRQ(ierr);
3603       ierr = PetscLogObjectMemory((PetscObject)B,2*B->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
3604     }
3605     if (!nnz) {
3606       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 10;
3607       else if (nz < 0) nz = 1;
3608       for (i=0; i<B->rmap->n; i++) b->imax[i] = nz;
3609       nz = nz*B->rmap->n;
3610     } else {
3611       nz = 0;
3612       for (i=0; i<B->rmap->n; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
3613     }
3614     /* b->ilen will count nonzeros in each row so far. */
3615     for (i=0; i<B->rmap->n; i++) b->ilen[i] = 0;
3616 
3617     /* allocate the matrix space */
3618     /* FIXME: should B's old memory be unlogged? */
3619     ierr    = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
3620     ierr    = PetscMalloc3(nz,&b->a,nz,&b->j,B->rmap->n+1,&b->i);CHKERRQ(ierr);
3621     ierr    = PetscLogObjectMemory((PetscObject)B,(B->rmap->n+1)*sizeof(PetscInt)+nz*(sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
3622     b->i[0] = 0;
3623     for (i=1; i<B->rmap->n+1; i++) {
3624       b->i[i] = b->i[i-1] + b->imax[i-1];
3625     }
3626     b->singlemalloc = PETSC_TRUE;
3627     b->free_a       = PETSC_TRUE;
3628     b->free_ij      = PETSC_TRUE;
3629   } else {
3630     b->free_a  = PETSC_FALSE;
3631     b->free_ij = PETSC_FALSE;
3632   }
3633 
3634   b->nz               = 0;
3635   b->maxnz            = nz;
3636   B->info.nz_unneeded = (double)b->maxnz;
3637   if (realalloc) {
3638     ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3639   }
3640   PetscFunctionReturn(0);
3641 }
3642 
3643 #undef  __FUNCT__
3644 #define __FUNCT__  "MatSeqAIJSetPreallocationCSR"
3645 /*@
3646    MatSeqAIJSetPreallocationCSR - Allocates memory for a sparse sequential matrix in AIJ format.
3647 
3648    Input Parameters:
3649 +  B - the matrix
3650 .  i - the indices into j for the start of each row (starts with zero)
3651 .  j - the column indices for each row (starts with zero) these must be sorted for each row
3652 -  v - optional values in the matrix
3653 
3654    Level: developer
3655 
3656    The i,j,v values are COPIED with this routine; to avoid the copy use MatCreateSeqAIJWithArrays()
3657 
3658 .keywords: matrix, aij, compressed row, sparse, sequential
3659 
3660 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatSeqAIJSetPreallocation(), MatCreateSeqAIJ(), SeqAIJ
3661 @*/
3662 PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat B,const PetscInt i[],const PetscInt j[],const PetscScalar v[])
3663 {
3664   PetscErrorCode ierr;
3665 
3666   PetscFunctionBegin;
3667   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3668   PetscValidType(B,1);
3669   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocationCSR_C",(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,i,j,v));CHKERRQ(ierr);
3670   PetscFunctionReturn(0);
3671 }
3672 
3673 #undef  __FUNCT__
3674 #define __FUNCT__  "MatSeqAIJSetPreallocationCSR_SeqAIJ"
3675 PetscErrorCode  MatSeqAIJSetPreallocationCSR_SeqAIJ(Mat B,const PetscInt Ii[],const PetscInt J[],const PetscScalar v[])
3676 {
3677   PetscInt       i;
3678   PetscInt       m,n;
3679   PetscInt       nz;
3680   PetscInt       *nnz, nz_max = 0;
3681   PetscScalar    *values;
3682   PetscErrorCode ierr;
3683 
3684   PetscFunctionBegin;
3685   if (Ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Ii[0] must be 0 it is %D", Ii[0]);
3686 
3687   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3688   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3689 
3690   ierr = MatGetSize(B, &m, &n);CHKERRQ(ierr);
3691   ierr = PetscMalloc1(m+1, &nnz);CHKERRQ(ierr);
3692   for (i = 0; i < m; i++) {
3693     nz     = Ii[i+1]- Ii[i];
3694     nz_max = PetscMax(nz_max, nz);
3695     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Local row %D has a negative number of columns %D", i, nnz);
3696     nnz[i] = nz;
3697   }
3698   ierr = MatSeqAIJSetPreallocation(B, 0, nnz);CHKERRQ(ierr);
3699   ierr = PetscFree(nnz);CHKERRQ(ierr);
3700 
3701   if (v) {
3702     values = (PetscScalar*) v;
3703   } else {
3704     ierr = PetscCalloc1(nz_max, &values);CHKERRQ(ierr);
3705   }
3706 
3707   for (i = 0; i < m; i++) {
3708     nz   = Ii[i+1] - Ii[i];
3709     ierr = MatSetValues_SeqAIJ(B, 1, &i, nz, J+Ii[i], values + (v ? Ii[i] : 0), INSERT_VALUES);CHKERRQ(ierr);
3710   }
3711 
3712   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3713   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3714 
3715   if (!v) {
3716     ierr = PetscFree(values);CHKERRQ(ierr);
3717   }
3718   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3719   PetscFunctionReturn(0);
3720 }
3721 
3722 #include <../src/mat/impls/dense/seq/dense.h>
3723 #include <petsc/private/kernels/petscaxpy.h>
3724 
3725 #undef __FUNCT__
3726 #define __FUNCT__ "MatMatMultNumeric_SeqDense_SeqAIJ"
3727 /*
3728     Computes (B'*A')' since computing B*A directly is untenable
3729 
3730                n                       p                          p
3731         (              )       (              )         (                  )
3732       m (      A       )  *  n (       B      )   =   m (         C        )
3733         (              )       (              )         (                  )
3734 
3735 */
3736 PetscErrorCode MatMatMultNumeric_SeqDense_SeqAIJ(Mat A,Mat B,Mat C)
3737 {
3738   PetscErrorCode    ierr;
3739   Mat_SeqDense      *sub_a = (Mat_SeqDense*)A->data;
3740   Mat_SeqAIJ        *sub_b = (Mat_SeqAIJ*)B->data;
3741   Mat_SeqDense      *sub_c = (Mat_SeqDense*)C->data;
3742   PetscInt          i,n,m,q,p;
3743   const PetscInt    *ii,*idx;
3744   const PetscScalar *b,*a,*a_q;
3745   PetscScalar       *c,*c_q;
3746 
3747   PetscFunctionBegin;
3748   m    = A->rmap->n;
3749   n    = A->cmap->n;
3750   p    = B->cmap->n;
3751   a    = sub_a->v;
3752   b    = sub_b->a;
3753   c    = sub_c->v;
3754   ierr = PetscMemzero(c,m*p*sizeof(PetscScalar));CHKERRQ(ierr);
3755 
3756   ii  = sub_b->i;
3757   idx = sub_b->j;
3758   for (i=0; i<n; i++) {
3759     q = ii[i+1] - ii[i];
3760     while (q-->0) {
3761       c_q = c + m*(*idx);
3762       a_q = a + m*i;
3763       PetscKernelAXPY(c_q,*b,a_q,m);
3764       idx++;
3765       b++;
3766     }
3767   }
3768   PetscFunctionReturn(0);
3769 }
3770 
3771 #undef __FUNCT__
3772 #define __FUNCT__ "MatMatMultSymbolic_SeqDense_SeqAIJ"
3773 PetscErrorCode MatMatMultSymbolic_SeqDense_SeqAIJ(Mat A,Mat B,PetscReal fill,Mat *C)
3774 {
3775   PetscErrorCode ierr;
3776   PetscInt       m=A->rmap->n,n=B->cmap->n;
3777   Mat            Cmat;
3778 
3779   PetscFunctionBegin;
3780   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);
3781   ierr = MatCreate(PetscObjectComm((PetscObject)A),&Cmat);CHKERRQ(ierr);
3782   ierr = MatSetSizes(Cmat,m,n,m,n);CHKERRQ(ierr);
3783   ierr = MatSetBlockSizesFromMats(Cmat,A,B);CHKERRQ(ierr);
3784   ierr = MatSetType(Cmat,MATSEQDENSE);CHKERRQ(ierr);
3785   ierr = MatSeqDenseSetPreallocation(Cmat,NULL);CHKERRQ(ierr);
3786 
3787   Cmat->ops->matmultnumeric = MatMatMultNumeric_SeqDense_SeqAIJ;
3788 
3789   *C = Cmat;
3790   PetscFunctionReturn(0);
3791 }
3792 
3793 /* ----------------------------------------------------------------*/
3794 #undef __FUNCT__
3795 #define __FUNCT__ "MatMatMult_SeqDense_SeqAIJ"
3796 PETSC_INTERN PetscErrorCode MatMatMult_SeqDense_SeqAIJ(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
3797 {
3798   PetscErrorCode ierr;
3799 
3800   PetscFunctionBegin;
3801   if (scall == MAT_INITIAL_MATRIX) {
3802     ierr = PetscLogEventBegin(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
3803     ierr = MatMatMultSymbolic_SeqDense_SeqAIJ(A,B,fill,C);CHKERRQ(ierr);
3804     ierr = PetscLogEventEnd(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
3805   }
3806   ierr = PetscLogEventBegin(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
3807   ierr = MatMatMultNumeric_SeqDense_SeqAIJ(A,B,*C);CHKERRQ(ierr);
3808   ierr = PetscLogEventEnd(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
3809   PetscFunctionReturn(0);
3810 }
3811 
3812 
3813 /*MC
3814    MATSEQAIJ - MATSEQAIJ = "seqaij" - A matrix type to be used for sequential sparse matrices,
3815    based on compressed sparse row format.
3816 
3817    Options Database Keys:
3818 . -mat_type seqaij - sets the matrix type to "seqaij" during a call to MatSetFromOptions()
3819 
3820   Level: beginner
3821 
3822 .seealso: MatCreateSeqAIJ(), MatSetFromOptions(), MatSetType(), MatCreate(), MatType
3823 M*/
3824 
3825 /*MC
3826    MATAIJ - MATAIJ = "aij" - A matrix type to be used for sparse matrices.
3827 
3828    This matrix type is identical to MATSEQAIJ when constructed with a single process communicator,
3829    and MATMPIAIJ otherwise.  As a result, for single process communicators,
3830   MatSeqAIJSetPreallocation is supported, and similarly MatMPIAIJSetPreallocation is supported
3831   for communicators controlling multiple processes.  It is recommended that you call both of
3832   the above preallocation routines for simplicity.
3833 
3834    Options Database Keys:
3835 . -mat_type aij - sets the matrix type to "aij" during a call to MatSetFromOptions()
3836 
3837   Developer Notes: Subclasses include MATAIJCUSP, MATAIJPERM, MATAIJCRL, and also automatically switches over to use inodes when
3838    enough exist.
3839 
3840   Level: beginner
3841 
3842 .seealso: MatCreateAIJ(), MatCreateSeqAIJ(), MATSEQAIJ,MATMPIAIJ
3843 M*/
3844 
3845 /*MC
3846    MATAIJCRL - MATAIJCRL = "aijcrl" - A matrix type to be used for sparse matrices.
3847 
3848    This matrix type is identical to MATSEQAIJCRL when constructed with a single process communicator,
3849    and MATMPIAIJCRL otherwise.  As a result, for single process communicators,
3850    MatSeqAIJSetPreallocation() is supported, and similarly MatMPIAIJSetPreallocation() is supported
3851   for communicators controlling multiple processes.  It is recommended that you call both of
3852   the above preallocation routines for simplicity.
3853 
3854    Options Database Keys:
3855 . -mat_type aijcrl - sets the matrix type to "aijcrl" during a call to MatSetFromOptions()
3856 
3857   Level: beginner
3858 
3859 .seealso: MatCreateMPIAIJCRL,MATSEQAIJCRL,MATMPIAIJCRL, MATSEQAIJCRL, MATMPIAIJCRL
3860 M*/
3861 
3862 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJCRL(Mat,MatType,MatReuse,Mat*);
3863 #if defined(PETSC_HAVE_ELEMENTAL)
3864 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_Elemental(Mat,MatType,MatReuse,Mat*);
3865 #endif
3866 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqDense(Mat,MatType,MatReuse,Mat*);
3867 
3868 #if defined(PETSC_HAVE_MATLAB_ENGINE)
3869 PETSC_EXTERN PetscErrorCode  MatlabEnginePut_SeqAIJ(PetscObject,void*);
3870 PETSC_EXTERN PetscErrorCode  MatlabEngineGet_SeqAIJ(PetscObject,void*);
3871 #endif
3872 
3873 
3874 #undef __FUNCT__
3875 #define __FUNCT__ "MatSeqAIJGetArray"
3876 /*@C
3877    MatSeqAIJGetArray - gives access to the array where the data for a SeqSeqAIJ matrix is stored
3878 
3879    Not Collective
3880 
3881    Input Parameter:
3882 .  mat - a MATSEQAIJ matrix
3883 
3884    Output Parameter:
3885 .   array - pointer to the data
3886 
3887    Level: intermediate
3888 
3889 .seealso: MatSeqAIJRestoreArray(), MatSeqAIJGetArrayF90()
3890 @*/
3891 PetscErrorCode  MatSeqAIJGetArray(Mat A,PetscScalar **array)
3892 {
3893   PetscErrorCode ierr;
3894 
3895   PetscFunctionBegin;
3896   ierr = PetscUseMethod(A,"MatSeqAIJGetArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
3897   PetscFunctionReturn(0);
3898 }
3899 
3900 #undef __FUNCT__
3901 #define __FUNCT__ "MatSeqAIJGetMaxRowNonzeros"
3902 /*@C
3903    MatSeqAIJGetMaxRowNonzeros - returns the maximum number of nonzeros in any row
3904 
3905    Not Collective
3906 
3907    Input Parameter:
3908 .  mat - a MATSEQAIJ matrix
3909 
3910    Output Parameter:
3911 .   nz - the maximum number of nonzeros in any row
3912 
3913    Level: intermediate
3914 
3915 .seealso: MatSeqAIJRestoreArray(), MatSeqAIJGetArrayF90()
3916 @*/
3917 PetscErrorCode  MatSeqAIJGetMaxRowNonzeros(Mat A,PetscInt *nz)
3918 {
3919   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)A->data;
3920 
3921   PetscFunctionBegin;
3922   *nz = aij->rmax;
3923   PetscFunctionReturn(0);
3924 }
3925 
3926 #undef __FUNCT__
3927 #define __FUNCT__ "MatSeqAIJRestoreArray"
3928 /*@C
3929    MatSeqAIJRestoreArray - returns access to the array where the data for a MATSEQAIJ matrix is stored obtained by MatSeqAIJGetArray()
3930 
3931    Not Collective
3932 
3933    Input Parameters:
3934 .  mat - a MATSEQAIJ matrix
3935 .  array - pointer to the data
3936 
3937    Level: intermediate
3938 
3939 .seealso: MatSeqAIJGetArray(), MatSeqAIJRestoreArrayF90()
3940 @*/
3941 PetscErrorCode  MatSeqAIJRestoreArray(Mat A,PetscScalar **array)
3942 {
3943   PetscErrorCode ierr;
3944 
3945   PetscFunctionBegin;
3946   ierr = PetscUseMethod(A,"MatSeqAIJRestoreArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
3947   PetscFunctionReturn(0);
3948 }
3949 
3950 #undef __FUNCT__
3951 #define __FUNCT__ "MatCreate_SeqAIJ"
3952 PETSC_EXTERN PetscErrorCode MatCreate_SeqAIJ(Mat B)
3953 {
3954   Mat_SeqAIJ     *b;
3955   PetscErrorCode ierr;
3956   PetscMPIInt    size;
3957 
3958   PetscFunctionBegin;
3959   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&size);CHKERRQ(ierr);
3960   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Comm must be of size 1");
3961 
3962   ierr = PetscNewLog(B,&b);CHKERRQ(ierr);
3963 
3964   B->data = (void*)b;
3965 
3966   ierr = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
3967 
3968   b->row                = 0;
3969   b->col                = 0;
3970   b->icol               = 0;
3971   b->reallocs           = 0;
3972   b->ignorezeroentries  = PETSC_FALSE;
3973   b->roworiented        = PETSC_TRUE;
3974   b->nonew              = 0;
3975   b->diag               = 0;
3976   b->solve_work         = 0;
3977   B->spptr              = 0;
3978   b->saved_values       = 0;
3979   b->idiag              = 0;
3980   b->mdiag              = 0;
3981   b->ssor_work          = 0;
3982   b->omega              = 1.0;
3983   b->fshift             = 0.0;
3984   b->idiagvalid         = PETSC_FALSE;
3985   b->ibdiagvalid        = PETSC_FALSE;
3986   b->keepnonzeropattern = PETSC_FALSE;
3987 
3988   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
3989   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJGetArray_C",MatSeqAIJGetArray_SeqAIJ);CHKERRQ(ierr);
3990   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJRestoreArray_C",MatSeqAIJRestoreArray_SeqAIJ);CHKERRQ(ierr);
3991 
3992 #if defined(PETSC_HAVE_MATLAB_ENGINE)
3993   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEnginePut_C",MatlabEnginePut_SeqAIJ);CHKERRQ(ierr);
3994   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEngineGet_C",MatlabEngineGet_SeqAIJ);CHKERRQ(ierr);
3995 #endif
3996 
3997   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetColumnIndices_C",MatSeqAIJSetColumnIndices_SeqAIJ);CHKERRQ(ierr);
3998   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_SeqAIJ);CHKERRQ(ierr);
3999   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_SeqAIJ);CHKERRQ(ierr);
4000   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqsbaij_C",MatConvert_SeqAIJ_SeqSBAIJ);CHKERRQ(ierr);
4001   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqbaij_C",MatConvert_SeqAIJ_SeqBAIJ);CHKERRQ(ierr);
4002   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijperm_C",MatConvert_SeqAIJ_SeqAIJPERM);CHKERRQ(ierr);
4003   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijcrl_C",MatConvert_SeqAIJ_SeqAIJCRL);CHKERRQ(ierr);
4004 #if defined(PETSC_HAVE_ELEMENTAL)
4005   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_elemental_C",MatConvert_SeqAIJ_Elemental);CHKERRQ(ierr);
4006 #endif
4007   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqdense_C",MatConvert_SeqAIJ_SeqDense);CHKERRQ(ierr);
4008   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4009   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsHermitianTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4010   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocation_C",MatSeqAIJSetPreallocation_SeqAIJ);CHKERRQ(ierr);
4011   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocationCSR_C",MatSeqAIJSetPreallocationCSR_SeqAIJ);CHKERRQ(ierr);
4012   ierr = PetscObjectComposeFunction((PetscObject)B,"MatReorderForNonzeroDiagonal_C",MatReorderForNonzeroDiagonal_SeqAIJ);CHKERRQ(ierr);
4013   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMult_seqdense_seqaij_C",MatMatMult_SeqDense_SeqAIJ);CHKERRQ(ierr);
4014   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultSymbolic_seqdense_seqaij_C",MatMatMultSymbolic_SeqDense_SeqAIJ);CHKERRQ(ierr);
4015   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultNumeric_seqdense_seqaij_C",MatMatMultNumeric_SeqDense_SeqAIJ);CHKERRQ(ierr);
4016   ierr = MatCreate_SeqAIJ_Inode(B);CHKERRQ(ierr);
4017   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
4018   PetscFunctionReturn(0);
4019 }
4020 
4021 #undef __FUNCT__
4022 #define __FUNCT__ "MatDuplicateNoCreate_SeqAIJ"
4023 /*
4024     Given a matrix generated with MatGetFactor() duplicates all the information in A into B
4025 */
4026 PetscErrorCode MatDuplicateNoCreate_SeqAIJ(Mat C,Mat A,MatDuplicateOption cpvalues,PetscBool mallocmatspace)
4027 {
4028   Mat_SeqAIJ     *c,*a = (Mat_SeqAIJ*)A->data;
4029   PetscErrorCode ierr;
4030   PetscInt       i,m = A->rmap->n;
4031 
4032   PetscFunctionBegin;
4033   c = (Mat_SeqAIJ*)C->data;
4034 
4035   C->factortype = A->factortype;
4036   c->row        = 0;
4037   c->col        = 0;
4038   c->icol       = 0;
4039   c->reallocs   = 0;
4040 
4041   C->assembled = PETSC_TRUE;
4042 
4043   ierr = PetscLayoutReference(A->rmap,&C->rmap);CHKERRQ(ierr);
4044   ierr = PetscLayoutReference(A->cmap,&C->cmap);CHKERRQ(ierr);
4045 
4046   ierr = PetscMalloc2(m,&c->imax,m,&c->ilen);CHKERRQ(ierr);
4047   ierr = PetscLogObjectMemory((PetscObject)C, 2*m*sizeof(PetscInt));CHKERRQ(ierr);
4048   for (i=0; i<m; i++) {
4049     c->imax[i] = a->imax[i];
4050     c->ilen[i] = a->ilen[i];
4051   }
4052 
4053   /* allocate the matrix space */
4054   if (mallocmatspace) {
4055     ierr = PetscMalloc3(a->i[m],&c->a,a->i[m],&c->j,m+1,&c->i);CHKERRQ(ierr);
4056     ierr = PetscLogObjectMemory((PetscObject)C, a->i[m]*(sizeof(PetscScalar)+sizeof(PetscInt))+(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4057 
4058     c->singlemalloc = PETSC_TRUE;
4059 
4060     ierr = PetscMemcpy(c->i,a->i,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4061     if (m > 0) {
4062       ierr = PetscMemcpy(c->j,a->j,(a->i[m])*sizeof(PetscInt));CHKERRQ(ierr);
4063       if (cpvalues == MAT_COPY_VALUES) {
4064         ierr = PetscMemcpy(c->a,a->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4065       } else {
4066         ierr = PetscMemzero(c->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4067       }
4068     }
4069   }
4070 
4071   c->ignorezeroentries = a->ignorezeroentries;
4072   c->roworiented       = a->roworiented;
4073   c->nonew             = a->nonew;
4074   if (a->diag) {
4075     ierr = PetscMalloc1(m+1,&c->diag);CHKERRQ(ierr);
4076     ierr = PetscLogObjectMemory((PetscObject)C,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4077     for (i=0; i<m; i++) {
4078       c->diag[i] = a->diag[i];
4079     }
4080   } else c->diag = 0;
4081 
4082   c->solve_work         = 0;
4083   c->saved_values       = 0;
4084   c->idiag              = 0;
4085   c->ssor_work          = 0;
4086   c->keepnonzeropattern = a->keepnonzeropattern;
4087   c->free_a             = PETSC_TRUE;
4088   c->free_ij            = PETSC_TRUE;
4089 
4090   c->rmax         = a->rmax;
4091   c->nz           = a->nz;
4092   c->maxnz        = a->nz;       /* Since we allocate exactly the right amount */
4093   C->preallocated = PETSC_TRUE;
4094 
4095   c->compressedrow.use   = a->compressedrow.use;
4096   c->compressedrow.nrows = a->compressedrow.nrows;
4097   if (a->compressedrow.use) {
4098     i    = a->compressedrow.nrows;
4099     ierr = PetscMalloc2(i+1,&c->compressedrow.i,i,&c->compressedrow.rindex);CHKERRQ(ierr);
4100     ierr = PetscMemcpy(c->compressedrow.i,a->compressedrow.i,(i+1)*sizeof(PetscInt));CHKERRQ(ierr);
4101     ierr = PetscMemcpy(c->compressedrow.rindex,a->compressedrow.rindex,i*sizeof(PetscInt));CHKERRQ(ierr);
4102   } else {
4103     c->compressedrow.use    = PETSC_FALSE;
4104     c->compressedrow.i      = NULL;
4105     c->compressedrow.rindex = NULL;
4106   }
4107   c->nonzerorowcnt = a->nonzerorowcnt;
4108   C->nonzerostate  = A->nonzerostate;
4109 
4110   ierr = MatDuplicate_SeqAIJ_Inode(A,cpvalues,&C);CHKERRQ(ierr);
4111   ierr = PetscFunctionListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
4112   PetscFunctionReturn(0);
4113 }
4114 
4115 #undef __FUNCT__
4116 #define __FUNCT__ "MatDuplicate_SeqAIJ"
4117 PetscErrorCode MatDuplicate_SeqAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
4118 {
4119   PetscErrorCode ierr;
4120 
4121   PetscFunctionBegin;
4122   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
4123   ierr = MatSetSizes(*B,A->rmap->n,A->cmap->n,A->rmap->n,A->cmap->n);CHKERRQ(ierr);
4124   if (!(A->rmap->n % A->rmap->bs) && !(A->cmap->n % A->cmap->bs)) {
4125     ierr = MatSetBlockSizesFromMats(*B,A,A);CHKERRQ(ierr);
4126   }
4127   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
4128   ierr = MatDuplicateNoCreate_SeqAIJ(*B,A,cpvalues,PETSC_TRUE);CHKERRQ(ierr);
4129   PetscFunctionReturn(0);
4130 }
4131 
4132 #undef __FUNCT__
4133 #define __FUNCT__ "MatLoad_SeqAIJ"
4134 PetscErrorCode MatLoad_SeqAIJ(Mat newMat, PetscViewer viewer)
4135 {
4136   Mat_SeqAIJ     *a;
4137   PetscErrorCode ierr;
4138   PetscInt       i,sum,nz,header[4],*rowlengths = 0,M,N,rows,cols;
4139   int            fd;
4140   PetscMPIInt    size;
4141   MPI_Comm       comm;
4142   PetscInt       bs = newMat->rmap->bs;
4143 
4144   PetscFunctionBegin;
4145   /* force binary viewer to load .info file if it has not yet done so */
4146   ierr = PetscViewerSetUp(viewer);CHKERRQ(ierr);
4147   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
4148   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4149   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"view must have one processor");
4150 
4151   ierr = PetscOptionsBegin(comm,NULL,"Options for loading SEQAIJ matrix","Mat");CHKERRQ(ierr);
4152   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
4153   ierr = PetscOptionsEnd();CHKERRQ(ierr);
4154   if (bs < 0) bs = 1;
4155   ierr = MatSetBlockSize(newMat,bs);CHKERRQ(ierr);
4156 
4157   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
4158   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
4159   if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object in file");
4160   M = header[1]; N = header[2]; nz = header[3];
4161 
4162   if (nz < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk,cannot load as SeqAIJ");
4163 
4164   /* read in row lengths */
4165   ierr = PetscMalloc1(M,&rowlengths);CHKERRQ(ierr);
4166   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
4167 
4168   /* check if sum of rowlengths is same as nz */
4169   for (i=0,sum=0; i< M; i++) sum +=rowlengths[i];
4170   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);
4171 
4172   /* set global size if not set already*/
4173   if (newMat->rmap->n < 0 && newMat->rmap->N < 0 && newMat->cmap->n < 0 && newMat->cmap->N < 0) {
4174     ierr = MatSetSizes(newMat,PETSC_DECIDE,PETSC_DECIDE,M,N);CHKERRQ(ierr);
4175   } else {
4176     /* if sizes and type are already set, check if the matrix  global sizes are correct */
4177     ierr = MatGetSize(newMat,&rows,&cols);CHKERRQ(ierr);
4178     if (rows < 0 && cols < 0) { /* user might provide local size instead of global size */
4179       ierr = MatGetLocalSize(newMat,&rows,&cols);CHKERRQ(ierr);
4180     }
4181     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);
4182   }
4183   ierr = MatSeqAIJSetPreallocation_SeqAIJ(newMat,0,rowlengths);CHKERRQ(ierr);
4184   a    = (Mat_SeqAIJ*)newMat->data;
4185 
4186   ierr = PetscBinaryRead(fd,a->j,nz,PETSC_INT);CHKERRQ(ierr);
4187 
4188   /* read in nonzero values */
4189   ierr = PetscBinaryRead(fd,a->a,nz,PETSC_SCALAR);CHKERRQ(ierr);
4190 
4191   /* set matrix "i" values */
4192   a->i[0] = 0;
4193   for (i=1; i<= M; i++) {
4194     a->i[i]      = a->i[i-1] + rowlengths[i-1];
4195     a->ilen[i-1] = rowlengths[i-1];
4196   }
4197   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
4198 
4199   ierr = MatAssemblyBegin(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4200   ierr = MatAssemblyEnd(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4201   PetscFunctionReturn(0);
4202 }
4203 
4204 #undef __FUNCT__
4205 #define __FUNCT__ "MatEqual_SeqAIJ"
4206 PetscErrorCode MatEqual_SeqAIJ(Mat A,Mat B,PetscBool * flg)
4207 {
4208   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*b = (Mat_SeqAIJ*)B->data;
4209   PetscErrorCode ierr;
4210 #if defined(PETSC_USE_COMPLEX)
4211   PetscInt k;
4212 #endif
4213 
4214   PetscFunctionBegin;
4215   /* If the  matrix dimensions are not equal,or no of nonzeros */
4216   if ((A->rmap->n != B->rmap->n) || (A->cmap->n != B->cmap->n) ||(a->nz != b->nz)) {
4217     *flg = PETSC_FALSE;
4218     PetscFunctionReturn(0);
4219   }
4220 
4221   /* if the a->i are the same */
4222   ierr = PetscMemcmp(a->i,b->i,(A->rmap->n+1)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4223   if (!*flg) PetscFunctionReturn(0);
4224 
4225   /* if a->j are the same */
4226   ierr = PetscMemcmp(a->j,b->j,(a->nz)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4227   if (!*flg) PetscFunctionReturn(0);
4228 
4229   /* if a->a are the same */
4230 #if defined(PETSC_USE_COMPLEX)
4231   for (k=0; k<a->nz; k++) {
4232     if (PetscRealPart(a->a[k]) != PetscRealPart(b->a[k]) || PetscImaginaryPart(a->a[k]) != PetscImaginaryPart(b->a[k])) {
4233       *flg = PETSC_FALSE;
4234       PetscFunctionReturn(0);
4235     }
4236   }
4237 #else
4238   ierr = PetscMemcmp(a->a,b->a,(a->nz)*sizeof(PetscScalar),flg);CHKERRQ(ierr);
4239 #endif
4240   PetscFunctionReturn(0);
4241 }
4242 
4243 #undef __FUNCT__
4244 #define __FUNCT__ "MatCreateSeqAIJWithArrays"
4245 /*@
4246      MatCreateSeqAIJWithArrays - Creates an sequential AIJ matrix using matrix elements (in CSR format)
4247               provided by the user.
4248 
4249       Collective on MPI_Comm
4250 
4251    Input Parameters:
4252 +   comm - must be an MPI communicator of size 1
4253 .   m - number of rows
4254 .   n - number of columns
4255 .   i - row indices
4256 .   j - column indices
4257 -   a - matrix values
4258 
4259    Output Parameter:
4260 .   mat - the matrix
4261 
4262    Level: intermediate
4263 
4264    Notes:
4265        The i, j, and a arrays are not copied by this routine, the user must free these arrays
4266     once the matrix is destroyed and not before
4267 
4268        You cannot set new nonzero locations into this matrix, that will generate an error.
4269 
4270        The i and j indices are 0 based
4271 
4272        The format which is used for the sparse matrix input, is equivalent to a
4273     row-major ordering.. i.e for the following matrix, the input data expected is
4274     as shown
4275 
4276 $        1 0 0
4277 $        2 0 3
4278 $        4 5 6
4279 $
4280 $        i =  {0,1,3,6}  [size = nrow+1  = 3+1]
4281 $        j =  {0,0,2,0,1,2}  [size = 6]; values must be sorted for each row
4282 $        v =  {1,2,3,4,5,6}  [size = 6]
4283 
4284 
4285 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateMPIAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4286 
4287 @*/
4288 PetscErrorCode  MatCreateSeqAIJWithArrays(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt *i,PetscInt *j,PetscScalar *a,Mat *mat)
4289 {
4290   PetscErrorCode ierr;
4291   PetscInt       ii;
4292   Mat_SeqAIJ     *aij;
4293 #if defined(PETSC_USE_DEBUG)
4294   PetscInt jj;
4295 #endif
4296 
4297   PetscFunctionBegin;
4298   if (m > 0 && i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
4299   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4300   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4301   /* ierr = MatSetBlockSizes(*mat,,);CHKERRQ(ierr); */
4302   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4303   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
4304   aij  = (Mat_SeqAIJ*)(*mat)->data;
4305   ierr = PetscMalloc2(m,&aij->imax,m,&aij->ilen);CHKERRQ(ierr);
4306 
4307   aij->i            = i;
4308   aij->j            = j;
4309   aij->a            = a;
4310   aij->singlemalloc = PETSC_FALSE;
4311   aij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
4312   aij->free_a       = PETSC_FALSE;
4313   aij->free_ij      = PETSC_FALSE;
4314 
4315   for (ii=0; ii<m; ii++) {
4316     aij->ilen[ii] = aij->imax[ii] = i[ii+1] - i[ii];
4317 #if defined(PETSC_USE_DEBUG)
4318     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]);
4319     for (jj=i[ii]+1; jj<i[ii+1]; jj++) {
4320       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);
4321       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);
4322     }
4323 #endif
4324   }
4325 #if defined(PETSC_USE_DEBUG)
4326   for (ii=0; ii<aij->i[m]; ii++) {
4327     if (j[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %D index = %D",ii,j[ii]);
4328     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]);
4329   }
4330 #endif
4331 
4332   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4333   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4334   PetscFunctionReturn(0);
4335 }
4336 #undef __FUNCT__
4337 #define __FUNCT__ "MatCreateSeqAIJFromTriple"
4338 /*@C
4339      MatCreateSeqAIJFromTriple - Creates an sequential AIJ matrix using matrix elements (in COO format)
4340               provided by the user.
4341 
4342       Collective on MPI_Comm
4343 
4344    Input Parameters:
4345 +   comm - must be an MPI communicator of size 1
4346 .   m   - number of rows
4347 .   n   - number of columns
4348 .   i   - row indices
4349 .   j   - column indices
4350 .   a   - matrix values
4351 .   nz  - number of nonzeros
4352 -   idx - 0 or 1 based
4353 
4354    Output Parameter:
4355 .   mat - the matrix
4356 
4357    Level: intermediate
4358 
4359    Notes:
4360        The i and j indices are 0 based
4361 
4362        The format which is used for the sparse matrix input, is equivalent to a
4363     row-major ordering.. i.e for the following matrix, the input data expected is
4364     as shown:
4365 
4366         1 0 0
4367         2 0 3
4368         4 5 6
4369 
4370         i =  {0,1,1,2,2,2}
4371         j =  {0,0,2,0,1,2}
4372         v =  {1,2,3,4,5,6}
4373 
4374 
4375 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateSeqAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4376 
4377 @*/
4378 PetscErrorCode  MatCreateSeqAIJFromTriple(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt *i,PetscInt *j,PetscScalar *a,Mat *mat,PetscInt nz,PetscBool idx)
4379 {
4380   PetscErrorCode ierr;
4381   PetscInt       ii, *nnz, one = 1,row,col;
4382 
4383 
4384   PetscFunctionBegin;
4385   ierr = PetscCalloc1(m,&nnz);CHKERRQ(ierr);
4386   for (ii = 0; ii < nz; ii++) {
4387     nnz[i[ii] - !!idx] += 1;
4388   }
4389   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4390   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4391   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4392   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,0,nnz);CHKERRQ(ierr);
4393   for (ii = 0; ii < nz; ii++) {
4394     if (idx) {
4395       row = i[ii] - 1;
4396       col = j[ii] - 1;
4397     } else {
4398       row = i[ii];
4399       col = j[ii];
4400     }
4401     ierr = MatSetValues(*mat,one,&row,one,&col,&a[ii],ADD_VALUES);CHKERRQ(ierr);
4402   }
4403   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4404   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4405   ierr = PetscFree(nnz);CHKERRQ(ierr);
4406   PetscFunctionReturn(0);
4407 }
4408 
4409 #undef __FUNCT__
4410 #define __FUNCT__ "MatSeqAIJInvalidateDiagonal"
4411 PetscErrorCode MatSeqAIJInvalidateDiagonal(Mat A)
4412 {
4413   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data;
4414   PetscErrorCode ierr;
4415 
4416   PetscFunctionBegin;
4417   a->idiagvalid  = PETSC_FALSE;
4418   a->ibdiagvalid = PETSC_FALSE;
4419 
4420   ierr = MatSeqAIJInvalidateDiagonal_Inode(A);CHKERRQ(ierr);
4421   PetscFunctionReturn(0);
4422 }
4423 
4424 #undef __FUNCT__
4425 #define __FUNCT__ "MatCreateMPIMatConcatenateSeqMat_SeqAIJ"
4426 PetscErrorCode MatCreateMPIMatConcatenateSeqMat_SeqAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
4427 {
4428   PetscErrorCode ierr;
4429 
4430   PetscFunctionBegin;
4431   ierr = MatCreateMPIMatConcatenateSeqMat_MPIAIJ(comm,inmat,n,scall,outmat);CHKERRQ(ierr);
4432   PetscFunctionReturn(0);
4433 }
4434 
4435 /*
4436  Permute A into C's *local* index space using rowemb,colemb.
4437  The embedding are supposed to be injections and the above implies that the range of rowemb is a subset
4438  of [0,m), colemb is in [0,n).
4439  If pattern == DIFFERENT_NONZERO_PATTERN, C is preallocated according to A.
4440  */
4441 #undef __FUNCT__
4442 #define __FUNCT__ "MatSetSeqMat_SeqAIJ"
4443 PetscErrorCode MatSetSeqMat_SeqAIJ(Mat C,IS rowemb,IS colemb,MatStructure pattern,Mat B)
4444 {
4445   /* If making this function public, change the error returned in this function away from _PLIB. */
4446   PetscErrorCode ierr;
4447   Mat_SeqAIJ     *Baij;
4448   PetscBool      seqaij;
4449   PetscInt       m,n,*nz,i,j,count;
4450   PetscScalar    v;
4451   const PetscInt *rowindices,*colindices;
4452 
4453   PetscFunctionBegin;
4454   if (!B) PetscFunctionReturn(0);
4455   /* Check to make sure the target matrix (and embeddings) are compatible with C and each other. */
4456   ierr = PetscObjectTypeCompare((PetscObject)B,MATSEQAIJ,&seqaij);CHKERRQ(ierr);
4457   if (!seqaij) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is of wrong type");
4458   if (rowemb) {
4459     ierr = ISGetLocalSize(rowemb,&m);CHKERRQ(ierr);
4460     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);
4461   } else {
4462     if (C->rmap->n != B->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is row-incompatible with the target matrix");
4463   }
4464   if (colemb) {
4465     ierr = ISGetLocalSize(colemb,&n);CHKERRQ(ierr);
4466     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);
4467   } else {
4468     if (C->cmap->n != B->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is col-incompatible with the target matrix");
4469   }
4470 
4471   Baij = (Mat_SeqAIJ*)(B->data);
4472   if (pattern == DIFFERENT_NONZERO_PATTERN) {
4473     ierr = PetscMalloc1(B->rmap->n,&nz);CHKERRQ(ierr);
4474     for (i=0; i<B->rmap->n; i++) {
4475       nz[i] = Baij->i[i+1] - Baij->i[i];
4476     }
4477     ierr = MatSeqAIJSetPreallocation(C,0,nz);CHKERRQ(ierr);
4478     ierr = PetscFree(nz);CHKERRQ(ierr);
4479   }
4480   if (pattern == SUBSET_NONZERO_PATTERN) {
4481     ierr = MatZeroEntries(C);CHKERRQ(ierr);
4482   }
4483   count = 0;
4484   rowindices = NULL;
4485   colindices = NULL;
4486   if (rowemb) {
4487     ierr = ISGetIndices(rowemb,&rowindices);CHKERRQ(ierr);
4488   }
4489   if (colemb) {
4490     ierr = ISGetIndices(colemb,&colindices);CHKERRQ(ierr);
4491   }
4492   for (i=0; i<B->rmap->n; i++) {
4493     PetscInt row;
4494     row = i;
4495     if (rowindices) row = rowindices[i];
4496     for (j=Baij->i[i]; j<Baij->i[i+1]; j++) {
4497       PetscInt col;
4498       col  = Baij->j[count];
4499       if (colindices) col = colindices[col];
4500       v    = Baij->a[count];
4501       ierr = MatSetValues(C,1,&row,1,&col,&v,INSERT_VALUES);CHKERRQ(ierr);
4502       ++count;
4503     }
4504   }
4505   /* FIXME: set C's nonzerostate correctly. */
4506   /* Assembly for C is necessary. */
4507   C->preallocated = PETSC_TRUE;
4508   C->assembled     = PETSC_TRUE;
4509   C->was_assembled = PETSC_FALSE;
4510   PetscFunctionReturn(0);
4511 }
4512 
4513 
4514 /*
4515     Special version for direct calls from Fortran
4516 */
4517 #include <petsc/private/fortranimpl.h>
4518 #if defined(PETSC_HAVE_FORTRAN_CAPS)
4519 #define matsetvaluesseqaij_ MATSETVALUESSEQAIJ
4520 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
4521 #define matsetvaluesseqaij_ matsetvaluesseqaij
4522 #endif
4523 
4524 /* Change these macros so can be used in void function */
4525 #undef CHKERRQ
4526 #define CHKERRQ(ierr) CHKERRABORT(PetscObjectComm((PetscObject)A),ierr)
4527 #undef SETERRQ2
4528 #define SETERRQ2(comm,ierr,b,c,d) CHKERRABORT(comm,ierr)
4529 #undef SETERRQ3
4530 #define SETERRQ3(comm,ierr,b,c,d,e) CHKERRABORT(comm,ierr)
4531 
4532 #undef __FUNCT__
4533 #define __FUNCT__ "matsetvaluesseqaij_"
4534 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)
4535 {
4536   Mat            A  = *AA;
4537   PetscInt       m  = *mm, n = *nn;
4538   InsertMode     is = *isis;
4539   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
4540   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
4541   PetscInt       *imax,*ai,*ailen;
4542   PetscErrorCode ierr;
4543   PetscInt       *aj,nonew = a->nonew,lastcol = -1;
4544   MatScalar      *ap,value,*aa;
4545   PetscBool      ignorezeroentries = a->ignorezeroentries;
4546   PetscBool      roworiented       = a->roworiented;
4547 
4548   PetscFunctionBegin;
4549   MatCheckPreallocated(A,1);
4550   imax  = a->imax;
4551   ai    = a->i;
4552   ailen = a->ilen;
4553   aj    = a->j;
4554   aa    = a->a;
4555 
4556   for (k=0; k<m; k++) { /* loop over added rows */
4557     row = im[k];
4558     if (row < 0) continue;
4559 #if defined(PETSC_USE_DEBUG)
4560     if (row >= A->rmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Row too large");
4561 #endif
4562     rp   = aj + ai[row]; ap = aa + ai[row];
4563     rmax = imax[row]; nrow = ailen[row];
4564     low  = 0;
4565     high = nrow;
4566     for (l=0; l<n; l++) { /* loop over added columns */
4567       if (in[l] < 0) continue;
4568 #if defined(PETSC_USE_DEBUG)
4569       if (in[l] >= A->cmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Column too large");
4570 #endif
4571       col = in[l];
4572       if (roworiented) value = v[l + k*n];
4573       else value = v[k + l*m];
4574 
4575       if (value == 0.0 && ignorezeroentries && (is == ADD_VALUES)) continue;
4576 
4577       if (col <= lastcol) low = 0;
4578       else high = nrow;
4579       lastcol = col;
4580       while (high-low > 5) {
4581         t = (low+high)/2;
4582         if (rp[t] > col) high = t;
4583         else             low  = t;
4584       }
4585       for (i=low; i<high; i++) {
4586         if (rp[i] > col) break;
4587         if (rp[i] == col) {
4588           if (is == ADD_VALUES) ap[i] += value;
4589           else                  ap[i] = value;
4590           goto noinsert;
4591         }
4592       }
4593       if (value == 0.0 && ignorezeroentries) goto noinsert;
4594       if (nonew == 1) goto noinsert;
4595       if (nonew == -1) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero in the matrix");
4596       MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
4597       N = nrow++ - 1; a->nz++; high++;
4598       /* shift up all the later entries in this row */
4599       for (ii=N; ii>=i; ii--) {
4600         rp[ii+1] = rp[ii];
4601         ap[ii+1] = ap[ii];
4602       }
4603       rp[i] = col;
4604       ap[i] = value;
4605       A->nonzerostate++;
4606 noinsert:;
4607       low = i + 1;
4608     }
4609     ailen[row] = nrow;
4610   }
4611   PetscFunctionReturnVoid();
4612 }
4613 
4614