xref: /petsc/src/mat/impls/aij/seq/aij.c (revision cd545bacbb74b28ee04a97aa2a6bca79b7d5aa2e)
1 
2 /*
3     Defines the basic matrix operations for the AIJ (compressed row)
4   matrix storage format.
5 */
6 
7 
8 #include <../src/mat/impls/aij/seq/aij.h>          /*I "petscmat.h" I*/
9 #include <petscblaslapack.h>
10 #include <petscbt.h>
11 #include <petsc/private/kernels/blocktranspose.h>
12 
13 #undef __FUNCT__
14 #define __FUNCT__ "MatGetColumnNorms_SeqAIJ"
15 PetscErrorCode MatGetColumnNorms_SeqAIJ(Mat A,NormType type,PetscReal *norms)
16 {
17   PetscErrorCode ierr;
18   PetscInt       i,m,n;
19   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)A->data;
20 
21   PetscFunctionBegin;
22   ierr = MatGetSize(A,&m,&n);CHKERRQ(ierr);
23   ierr = PetscMemzero(norms,n*sizeof(PetscReal));CHKERRQ(ierr);
24   if (type == NORM_2) {
25     for (i=0; i<aij->i[m]; i++) {
26       norms[aij->j[i]] += PetscAbsScalar(aij->a[i]*aij->a[i]);
27     }
28   } else if (type == NORM_1) {
29     for (i=0; i<aij->i[m]; i++) {
30       norms[aij->j[i]] += PetscAbsScalar(aij->a[i]);
31     }
32   } else if (type == NORM_INFINITY) {
33     for (i=0; i<aij->i[m]; i++) {
34       norms[aij->j[i]] = PetscMax(PetscAbsScalar(aij->a[i]),norms[aij->j[i]]);
35     }
36   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Unknown NormType");
37 
38   if (type == NORM_2) {
39     for (i=0; i<n; i++) norms[i] = PetscSqrtReal(norms[i]);
40   }
41   PetscFunctionReturn(0);
42 }
43 
44 #undef __FUNCT__
45 #define __FUNCT__ "MatFindOffBlockDiagonalEntries_SeqAIJ"
46 PetscErrorCode MatFindOffBlockDiagonalEntries_SeqAIJ(Mat A,IS *is)
47 {
48   Mat_SeqAIJ      *a  = (Mat_SeqAIJ*)A->data;
49   PetscInt        i,m=A->rmap->n,cnt = 0, bs = A->rmap->bs;
50   const PetscInt  *jj = a->j,*ii = a->i;
51   PetscInt        *rows;
52   PetscErrorCode  ierr;
53 
54   PetscFunctionBegin;
55   for (i=0; i<m; i++) {
56     if ((ii[i] != ii[i+1]) && ((jj[ii[i]] < bs*(i/bs)) || (jj[ii[i+1]-1] > bs*((i+bs)/bs)-1))) {
57       cnt++;
58     }
59   }
60   ierr = PetscMalloc1(cnt,&rows);CHKERRQ(ierr);
61   cnt  = 0;
62   for (i=0; i<m; i++) {
63     if ((ii[i] != ii[i+1]) && ((jj[ii[i]] < bs*(i/bs)) || (jj[ii[i+1]-1] > bs*((i+bs)/bs)-1))) {
64       rows[cnt] = i;
65       cnt++;
66     }
67   }
68   ierr = ISCreateGeneral(PETSC_COMM_SELF,cnt,rows,PETSC_OWN_POINTER,is);CHKERRQ(ierr);
69   PetscFunctionReturn(0);
70 }
71 
72 #undef __FUNCT__
73 #define __FUNCT__ "MatFindZeroDiagonals_SeqAIJ_Private"
74 PetscErrorCode MatFindZeroDiagonals_SeqAIJ_Private(Mat A,PetscInt *nrows,PetscInt **zrows)
75 {
76   Mat_SeqAIJ      *a  = (Mat_SeqAIJ*)A->data;
77   const MatScalar *aa = a->a;
78   PetscInt        i,m=A->rmap->n,cnt = 0;
79   const PetscInt  *jj = a->j,*diag;
80   PetscInt        *rows;
81   PetscErrorCode  ierr;
82 
83   PetscFunctionBegin;
84   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
85   diag = a->diag;
86   for (i=0; i<m; i++) {
87     if ((jj[diag[i]] != i) || (aa[diag[i]] == 0.0)) {
88       cnt++;
89     }
90   }
91   ierr = PetscMalloc1(cnt,&rows);CHKERRQ(ierr);
92   cnt  = 0;
93   for (i=0; i<m; i++) {
94     if ((jj[diag[i]] != i) || (aa[diag[i]] == 0.0)) {
95       rows[cnt++] = i;
96     }
97   }
98   *nrows = cnt;
99   *zrows = rows;
100   PetscFunctionReturn(0);
101 }
102 
103 #undef __FUNCT__
104 #define __FUNCT__ "MatFindZeroDiagonals_SeqAIJ"
105 PetscErrorCode MatFindZeroDiagonals_SeqAIJ(Mat A,IS *zrows)
106 {
107   PetscInt       nrows,*rows;
108   PetscErrorCode ierr;
109 
110   PetscFunctionBegin;
111   *zrows = NULL;
112   ierr   = MatFindZeroDiagonals_SeqAIJ_Private(A,&nrows,&rows);CHKERRQ(ierr);
113   ierr   = ISCreateGeneral(PetscObjectComm((PetscObject)A),nrows,rows,PETSC_OWN_POINTER,zrows);CHKERRQ(ierr);
114   PetscFunctionReturn(0);
115 }
116 
117 #undef __FUNCT__
118 #define __FUNCT__ "MatFindNonzeroRows_SeqAIJ"
119 PetscErrorCode MatFindNonzeroRows_SeqAIJ(Mat A,IS *keptrows)
120 {
121   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
122   const MatScalar *aa;
123   PetscInt        m=A->rmap->n,cnt = 0;
124   const PetscInt  *ii;
125   PetscInt        n,i,j,*rows;
126   PetscErrorCode  ierr;
127 
128   PetscFunctionBegin;
129   *keptrows = 0;
130   ii        = a->i;
131   for (i=0; i<m; i++) {
132     n = ii[i+1] - ii[i];
133     if (!n) {
134       cnt++;
135       goto ok1;
136     }
137     aa = a->a + ii[i];
138     for (j=0; j<n; j++) {
139       if (aa[j] != 0.0) goto ok1;
140     }
141     cnt++;
142 ok1:;
143   }
144   if (!cnt) PetscFunctionReturn(0);
145   ierr = PetscMalloc1(A->rmap->n-cnt,&rows);CHKERRQ(ierr);
146   cnt  = 0;
147   for (i=0; i<m; i++) {
148     n = ii[i+1] - ii[i];
149     if (!n) continue;
150     aa = a->a + ii[i];
151     for (j=0; j<n; j++) {
152       if (aa[j] != 0.0) {
153         rows[cnt++] = i;
154         break;
155       }
156     }
157   }
158   ierr = ISCreateGeneral(PETSC_COMM_SELF,cnt,rows,PETSC_OWN_POINTER,keptrows);CHKERRQ(ierr);
159   PetscFunctionReturn(0);
160 }
161 
162 #undef __FUNCT__
163 #define __FUNCT__ "MatDiagonalSet_SeqAIJ"
164 PetscErrorCode  MatDiagonalSet_SeqAIJ(Mat Y,Vec D,InsertMode is)
165 {
166   PetscErrorCode    ierr;
167   Mat_SeqAIJ        *aij = (Mat_SeqAIJ*) Y->data;
168   PetscInt          i,m = Y->rmap->n;
169   const PetscInt    *diag;
170   MatScalar         *aa = aij->a;
171   const PetscScalar *v;
172   PetscBool         missing;
173 
174   PetscFunctionBegin;
175   if (Y->assembled) {
176     ierr = MatMissingDiagonal_SeqAIJ(Y,&missing,NULL);CHKERRQ(ierr);
177     if (!missing) {
178       diag = aij->diag;
179       ierr = VecGetArrayRead(D,&v);CHKERRQ(ierr);
180       if (is == INSERT_VALUES) {
181         for (i=0; i<m; i++) {
182           aa[diag[i]] = v[i];
183         }
184       } else {
185         for (i=0; i<m; i++) {
186           aa[diag[i]] += v[i];
187         }
188       }
189       ierr = VecRestoreArrayRead(D,&v);CHKERRQ(ierr);
190       PetscFunctionReturn(0);
191     }
192     ierr = MatSeqAIJInvalidateDiagonal(Y);CHKERRQ(ierr);
193   }
194   ierr = MatDiagonalSet_Default(Y,D,is);CHKERRQ(ierr);
195   PetscFunctionReturn(0);
196 }
197 
198 #undef __FUNCT__
199 #define __FUNCT__ "MatGetRowIJ_SeqAIJ"
200 PetscErrorCode MatGetRowIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *m,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
201 {
202   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
203   PetscErrorCode ierr;
204   PetscInt       i,ishift;
205 
206   PetscFunctionBegin;
207   *m = A->rmap->n;
208   if (!ia) PetscFunctionReturn(0);
209   ishift = 0;
210   if (symmetric && !A->structurally_symmetric) {
211     ierr = MatToSymmetricIJ_SeqAIJ(A->rmap->n,a->i,a->j,ishift,oshift,(PetscInt**)ia,(PetscInt**)ja);CHKERRQ(ierr);
212   } else if (oshift == 1) {
213     PetscInt *tia;
214     PetscInt nz = a->i[A->rmap->n];
215     /* malloc space and  add 1 to i and j indices */
216     ierr = PetscMalloc1(A->rmap->n+1,&tia);CHKERRQ(ierr);
217     for (i=0; i<A->rmap->n+1; i++) tia[i] = a->i[i] + 1;
218     *ia = tia;
219     if (ja) {
220       PetscInt *tja;
221       ierr = PetscMalloc1(nz+1,&tja);CHKERRQ(ierr);
222       for (i=0; i<nz; i++) tja[i] = a->j[i] + 1;
223       *ja = tja;
224     }
225   } else {
226     *ia = a->i;
227     if (ja) *ja = a->j;
228   }
229   PetscFunctionReturn(0);
230 }
231 
232 #undef __FUNCT__
233 #define __FUNCT__ "MatRestoreRowIJ_SeqAIJ"
234 PetscErrorCode MatRestoreRowIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
235 {
236   PetscErrorCode ierr;
237 
238   PetscFunctionBegin;
239   if (!ia) PetscFunctionReturn(0);
240   if ((symmetric && !A->structurally_symmetric) || oshift == 1) {
241     ierr = PetscFree(*ia);CHKERRQ(ierr);
242     if (ja) {ierr = PetscFree(*ja);CHKERRQ(ierr);}
243   }
244   PetscFunctionReturn(0);
245 }
246 
247 #undef __FUNCT__
248 #define __FUNCT__ "MatGetColumnIJ_SeqAIJ"
249 PetscErrorCode MatGetColumnIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
250 {
251   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
252   PetscErrorCode ierr;
253   PetscInt       i,*collengths,*cia,*cja,n = A->cmap->n,m = A->rmap->n;
254   PetscInt       nz = a->i[m],row,*jj,mr,col;
255 
256   PetscFunctionBegin;
257   *nn = n;
258   if (!ia) PetscFunctionReturn(0);
259   if (symmetric) {
260     ierr = MatToSymmetricIJ_SeqAIJ(A->rmap->n,a->i,a->j,0,oshift,(PetscInt**)ia,(PetscInt**)ja);CHKERRQ(ierr);
261   } else {
262     ierr = PetscCalloc1(n+1,&collengths);CHKERRQ(ierr);
263     ierr = PetscMalloc1(n+1,&cia);CHKERRQ(ierr);
264     ierr = PetscMalloc1(nz+1,&cja);CHKERRQ(ierr);
265     jj   = a->j;
266     for (i=0; i<nz; i++) {
267       collengths[jj[i]]++;
268     }
269     cia[0] = oshift;
270     for (i=0; i<n; i++) {
271       cia[i+1] = cia[i] + collengths[i];
272     }
273     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
274     jj   = a->j;
275     for (row=0; row<m; row++) {
276       mr = a->i[row+1] - a->i[row];
277       for (i=0; i<mr; i++) {
278         col = *jj++;
279 
280         cja[cia[col] + collengths[col]++ - oshift] = row + oshift;
281       }
282     }
283     ierr = PetscFree(collengths);CHKERRQ(ierr);
284     *ia  = cia; *ja = cja;
285   }
286   PetscFunctionReturn(0);
287 }
288 
289 #undef __FUNCT__
290 #define __FUNCT__ "MatRestoreColumnIJ_SeqAIJ"
291 PetscErrorCode MatRestoreColumnIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
292 {
293   PetscErrorCode ierr;
294 
295   PetscFunctionBegin;
296   if (!ia) PetscFunctionReturn(0);
297 
298   ierr = PetscFree(*ia);CHKERRQ(ierr);
299   ierr = PetscFree(*ja);CHKERRQ(ierr);
300   PetscFunctionReturn(0);
301 }
302 
303 /*
304  MatGetColumnIJ_SeqAIJ_Color() and MatRestoreColumnIJ_SeqAIJ_Color() are customized from
305  MatGetColumnIJ_SeqAIJ() and MatRestoreColumnIJ_SeqAIJ() by adding an output
306  spidx[], index of a->a, to be used in MatTransposeColoringCreate_SeqAIJ() and MatFDColoringCreate_SeqXAIJ()
307 */
308 #undef __FUNCT__
309 #define __FUNCT__ "MatGetColumnIJ_SeqAIJ_Color"
310 PetscErrorCode MatGetColumnIJ_SeqAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
311 {
312   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
313   PetscErrorCode ierr;
314   PetscInt       i,*collengths,*cia,*cja,n = A->cmap->n,m = A->rmap->n;
315   PetscInt       nz = a->i[m],row,*jj,mr,col;
316   PetscInt       *cspidx;
317 
318   PetscFunctionBegin;
319   *nn = n;
320   if (!ia) PetscFunctionReturn(0);
321 
322   ierr = PetscCalloc1(n+1,&collengths);CHKERRQ(ierr);
323   ierr = PetscMalloc1(n+1,&cia);CHKERRQ(ierr);
324   ierr = PetscMalloc1(nz+1,&cja);CHKERRQ(ierr);
325   ierr = PetscMalloc1(nz+1,&cspidx);CHKERRQ(ierr);
326   jj   = a->j;
327   for (i=0; i<nz; i++) {
328     collengths[jj[i]]++;
329   }
330   cia[0] = oshift;
331   for (i=0; i<n; i++) {
332     cia[i+1] = cia[i] + collengths[i];
333   }
334   ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
335   jj   = a->j;
336   for (row=0; row<m; row++) {
337     mr = a->i[row+1] - a->i[row];
338     for (i=0; i<mr; i++) {
339       col = *jj++;
340       cspidx[cia[col] + collengths[col] - oshift] = a->i[row] + i; /* index of a->j */
341       cja[cia[col] + collengths[col]++ - oshift]  = row + oshift;
342     }
343   }
344   ierr   = PetscFree(collengths);CHKERRQ(ierr);
345   *ia    = cia; *ja = cja;
346   *spidx = cspidx;
347   PetscFunctionReturn(0);
348 }
349 
350 #undef __FUNCT__
351 #define __FUNCT__ "MatRestoreColumnIJ_SeqAIJ_Color"
352 PetscErrorCode MatRestoreColumnIJ_SeqAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
353 {
354   PetscErrorCode ierr;
355 
356   PetscFunctionBegin;
357   ierr = MatRestoreColumnIJ_SeqAIJ(A,oshift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
358   ierr = PetscFree(*spidx);CHKERRQ(ierr);
359   PetscFunctionReturn(0);
360 }
361 
362 #undef __FUNCT__
363 #define __FUNCT__ "MatSetValuesRow_SeqAIJ"
364 PetscErrorCode MatSetValuesRow_SeqAIJ(Mat A,PetscInt row,const PetscScalar v[])
365 {
366   Mat_SeqAIJ     *a  = (Mat_SeqAIJ*)A->data;
367   PetscInt       *ai = a->i;
368   PetscErrorCode ierr;
369 
370   PetscFunctionBegin;
371   ierr = PetscMemcpy(a->a+ai[row],v,(ai[row+1]-ai[row])*sizeof(PetscScalar));CHKERRQ(ierr);
372   PetscFunctionReturn(0);
373 }
374 
375 /*
376     MatSeqAIJSetValuesLocalFast - An optimized version of MatSetValuesLocal() for SeqAIJ matrices with several assumptions
377 
378       -   a single row of values is set with each call
379       -   no row or column indices are negative or (in error) larger than the number of rows or columns
380       -   the values are always added to the matrix, not set
381       -   no new locations are introduced in the nonzero structure of the matrix
382 
383      This does NOT assume the global column indices are sorted
384 
385 */
386 
387 #include <petsc/private/isimpl.h>
388 #undef __FUNCT__
389 #define __FUNCT__ "MatSeqAIJSetValuesLocalFast"
390 PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
391 {
392   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
393   PetscInt       low,high,t,row,nrow,i,col,l;
394   const PetscInt *rp,*ai = a->i,*ailen = a->ilen,*aj = a->j;
395   PetscInt       lastcol = -1;
396   MatScalar      *ap,value,*aa = a->a;
397   const PetscInt *ridx = A->rmap->mapping->indices,*cidx = A->cmap->mapping->indices;
398 
399   row = ridx[im[0]];
400   rp   = aj + ai[row];
401   ap = aa + ai[row];
402   nrow = ailen[row];
403   low  = 0;
404   high = nrow;
405   for (l=0; l<n; l++) { /* loop over added columns */
406     col = cidx[in[l]];
407     value = v[l];
408 
409     if (col <= lastcol) low = 0;
410     else high = nrow;
411     lastcol = col;
412     while (high-low > 5) {
413       t = (low+high)/2;
414       if (rp[t] > col) high = t;
415       else low = t;
416     }
417     for (i=low; i<high; i++) {
418       if (rp[i] == col) {
419         ap[i] += value;
420         low = i + 1;
421         break;
422       }
423     }
424   }
425   return 0;
426 }
427 
428 #undef __FUNCT__
429 #define __FUNCT__ "MatSetValues_SeqAIJ"
430 PetscErrorCode MatSetValues_SeqAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
431 {
432   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
433   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
434   PetscInt       *imax = a->imax,*ai = a->i,*ailen = a->ilen;
435   PetscErrorCode ierr;
436   PetscInt       *aj = a->j,nonew = a->nonew,lastcol = -1;
437   MatScalar      *ap,value,*aa = a->a;
438   PetscBool      ignorezeroentries = a->ignorezeroentries;
439   PetscBool      roworiented       = a->roworiented;
440 
441   PetscFunctionBegin;
442   for (k=0; k<m; k++) { /* loop over added rows */
443     row = im[k];
444     if (row < 0) continue;
445 #if defined(PETSC_USE_DEBUG)
446     if (row >= A->rmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,A->rmap->n-1);
447 #endif
448     rp   = aj + ai[row]; ap = aa + ai[row];
449     rmax = imax[row]; nrow = ailen[row];
450     low  = 0;
451     high = nrow;
452     for (l=0; l<n; l++) { /* loop over added columns */
453       if (in[l] < 0) continue;
454 #if defined(PETSC_USE_DEBUG)
455       if (in[l] >= A->cmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],A->cmap->n-1);
456 #endif
457       col = in[l];
458       if (roworiented) {
459         value = v[l + k*n];
460       } else {
461         value = v[k + l*m];
462       }
463       if ((value == 0.0 && ignorezeroentries) && (is == ADD_VALUES)) continue;
464 
465       if (col <= lastcol) low = 0;
466       else high = nrow;
467       lastcol = col;
468       while (high-low > 5) {
469         t = (low+high)/2;
470         if (rp[t] > col) high = t;
471         else low = t;
472       }
473       for (i=low; i<high; i++) {
474         if (rp[i] > col) break;
475         if (rp[i] == col) {
476           if (is == ADD_VALUES) ap[i] += value;
477           else ap[i] = value;
478           low = i + 1;
479           goto noinsert;
480         }
481       }
482       if (value == 0.0 && ignorezeroentries) goto noinsert;
483       if (nonew == 1) goto noinsert;
484       if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero at (%D,%D) in the matrix",row,col);
485       MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
486       N = nrow++ - 1; a->nz++; high++;
487       /* shift up all the later entries in this row */
488       for (ii=N; ii>=i; ii--) {
489         rp[ii+1] = rp[ii];
490         ap[ii+1] = ap[ii];
491       }
492       rp[i] = col;
493       ap[i] = value;
494       low   = i + 1;
495       A->nonzerostate++;
496 noinsert:;
497     }
498     ailen[row] = nrow;
499   }
500   PetscFunctionReturn(0);
501 }
502 
503 
504 #undef __FUNCT__
505 #define __FUNCT__ "MatGetValues_SeqAIJ"
506 PetscErrorCode MatGetValues_SeqAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],PetscScalar v[])
507 {
508   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
509   PetscInt   *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
510   PetscInt   *ai = a->i,*ailen = a->ilen;
511   MatScalar  *ap,*aa = a->a;
512 
513   PetscFunctionBegin;
514   for (k=0; k<m; k++) { /* loop over rows */
515     row = im[k];
516     if (row < 0) {v += n; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",row); */
517     if (row >= A->rmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,A->rmap->n-1);
518     rp   = aj + ai[row]; ap = aa + ai[row];
519     nrow = ailen[row];
520     for (l=0; l<n; l++) { /* loop over columns */
521       if (in[l] < 0) {v++; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column: %D",in[l]); */
522       if (in[l] >= A->cmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],A->cmap->n-1);
523       col  = in[l];
524       high = nrow; low = 0; /* assume unsorted */
525       while (high-low > 5) {
526         t = (low+high)/2;
527         if (rp[t] > col) high = t;
528         else low = t;
529       }
530       for (i=low; i<high; i++) {
531         if (rp[i] > col) break;
532         if (rp[i] == col) {
533           *v++ = ap[i];
534           goto finished;
535         }
536       }
537       *v++ = 0.0;
538 finished:;
539     }
540   }
541   PetscFunctionReturn(0);
542 }
543 
544 
545 #undef __FUNCT__
546 #define __FUNCT__ "MatView_SeqAIJ_Binary"
547 PetscErrorCode MatView_SeqAIJ_Binary(Mat A,PetscViewer viewer)
548 {
549   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
550   PetscErrorCode ierr;
551   PetscInt       i,*col_lens;
552   int            fd;
553   FILE           *file;
554 
555   PetscFunctionBegin;
556   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
557   ierr = PetscMalloc1(4+A->rmap->n,&col_lens);CHKERRQ(ierr);
558 
559   col_lens[0] = MAT_FILE_CLASSID;
560   col_lens[1] = A->rmap->n;
561   col_lens[2] = A->cmap->n;
562   col_lens[3] = a->nz;
563 
564   /* store lengths of each row and write (including header) to file */
565   for (i=0; i<A->rmap->n; i++) {
566     col_lens[4+i] = a->i[i+1] - a->i[i];
567   }
568   ierr = PetscBinaryWrite(fd,col_lens,4+A->rmap->n,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
569   ierr = PetscFree(col_lens);CHKERRQ(ierr);
570 
571   /* store column indices (zero start index) */
572   ierr = PetscBinaryWrite(fd,a->j,a->nz,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
573 
574   /* store nonzero values */
575   ierr = PetscBinaryWrite(fd,a->a,a->nz,PETSC_SCALAR,PETSC_FALSE);CHKERRQ(ierr);
576 
577   ierr = PetscViewerBinaryGetInfoPointer(viewer,&file);CHKERRQ(ierr);
578   if (file) {
579     fprintf(file,"-matload_block_size %d\n",(int)PetscAbs(A->rmap->bs));
580   }
581   PetscFunctionReturn(0);
582 }
583 
584 extern PetscErrorCode MatSeqAIJFactorInfo_Matlab(Mat,PetscViewer);
585 
586 #undef __FUNCT__
587 #define __FUNCT__ "MatView_SeqAIJ_ASCII"
588 PetscErrorCode MatView_SeqAIJ_ASCII(Mat A,PetscViewer viewer)
589 {
590   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
591   PetscErrorCode    ierr;
592   PetscInt          i,j,m = A->rmap->n;
593   const char        *name;
594   PetscViewerFormat format;
595 
596   PetscFunctionBegin;
597   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
598   if (format == PETSC_VIEWER_ASCII_MATLAB) {
599     PetscInt nofinalvalue = 0;
600     if (m && ((a->i[m] == a->i[m-1]) || (a->j[a->nz-1] != A->cmap->n-1))) {
601       /* Need a dummy value to ensure the dimension of the matrix. */
602       nofinalvalue = 1;
603     }
604     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
605     ierr = PetscViewerASCIIPrintf(viewer,"%% Size = %D %D \n",m,A->cmap->n);CHKERRQ(ierr);
606     ierr = PetscViewerASCIIPrintf(viewer,"%% Nonzeros = %D \n",a->nz);CHKERRQ(ierr);
607 #if defined(PETSC_USE_COMPLEX)
608     ierr = PetscViewerASCIIPrintf(viewer,"zzz = zeros(%D,4);\n",a->nz+nofinalvalue);CHKERRQ(ierr);
609 #else
610     ierr = PetscViewerASCIIPrintf(viewer,"zzz = zeros(%D,3);\n",a->nz+nofinalvalue);CHKERRQ(ierr);
611 #endif
612     ierr = PetscViewerASCIIPrintf(viewer,"zzz = [\n");CHKERRQ(ierr);
613 
614     for (i=0; i<m; i++) {
615       for (j=a->i[i]; j<a->i[i+1]; j++) {
616 #if defined(PETSC_USE_COMPLEX)
617         ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e %18.16e\n",i+1,a->j[j]+1,(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
618 #else
619         ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e\n",i+1,a->j[j]+1,(double)a->a[j]);CHKERRQ(ierr);
620 #endif
621       }
622     }
623     if (nofinalvalue) {
624 #if defined(PETSC_USE_COMPLEX)
625       ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e %18.16e\n",m,A->cmap->n,0.,0.);CHKERRQ(ierr);
626 #else
627       ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e\n",m,A->cmap->n,0.0);CHKERRQ(ierr);
628 #endif
629     }
630     ierr = PetscObjectGetName((PetscObject)A,&name);CHKERRQ(ierr);
631     ierr = PetscViewerASCIIPrintf(viewer,"];\n %s = spconvert(zzz);\n",name);CHKERRQ(ierr);
632     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
633   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO || format == PETSC_VIEWER_ASCII_INFO) {
634     PetscFunctionReturn(0);
635   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
636     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
637     for (i=0; i<m; i++) {
638       ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
639       for (j=a->i[i]; j<a->i[i+1]; j++) {
640 #if defined(PETSC_USE_COMPLEX)
641         if (PetscImaginaryPart(a->a[j]) > 0.0 && PetscRealPart(a->a[j]) != 0.0) {
642           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
643         } else if (PetscImaginaryPart(a->a[j]) < 0.0 && PetscRealPart(a->a[j]) != 0.0) {
644           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
645         } else if (PetscRealPart(a->a[j]) != 0.0) {
646           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
647         }
648 #else
649         if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);}
650 #endif
651       }
652       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
653     }
654     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
655   } else if (format == PETSC_VIEWER_ASCII_SYMMODU) {
656     PetscInt nzd=0,fshift=1,*sptr;
657     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
658     ierr = PetscMalloc1(m+1,&sptr);CHKERRQ(ierr);
659     for (i=0; i<m; i++) {
660       sptr[i] = nzd+1;
661       for (j=a->i[i]; j<a->i[i+1]; j++) {
662         if (a->j[j] >= i) {
663 #if defined(PETSC_USE_COMPLEX)
664           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) nzd++;
665 #else
666           if (a->a[j] != 0.0) nzd++;
667 #endif
668         }
669       }
670     }
671     sptr[m] = nzd+1;
672     ierr    = PetscViewerASCIIPrintf(viewer," %D %D\n\n",m,nzd);CHKERRQ(ierr);
673     for (i=0; i<m+1; i+=6) {
674       if (i+4<m) {
675         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2],sptr[i+3],sptr[i+4],sptr[i+5]);CHKERRQ(ierr);
676       } else if (i+3<m) {
677         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2],sptr[i+3],sptr[i+4]);CHKERRQ(ierr);
678       } else if (i+2<m) {
679         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2],sptr[i+3]);CHKERRQ(ierr);
680       } else if (i+1<m) {
681         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2]);CHKERRQ(ierr);
682       } else if (i<m) {
683         ierr = PetscViewerASCIIPrintf(viewer," %D %D\n",sptr[i],sptr[i+1]);CHKERRQ(ierr);
684       } else {
685         ierr = PetscViewerASCIIPrintf(viewer," %D\n",sptr[i]);CHKERRQ(ierr);
686       }
687     }
688     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
689     ierr = PetscFree(sptr);CHKERRQ(ierr);
690     for (i=0; i<m; i++) {
691       for (j=a->i[i]; j<a->i[i+1]; j++) {
692         if (a->j[j] >= i) {ierr = PetscViewerASCIIPrintf(viewer," %D ",a->j[j]+fshift);CHKERRQ(ierr);}
693       }
694       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
695     }
696     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
697     for (i=0; i<m; i++) {
698       for (j=a->i[i]; j<a->i[i+1]; j++) {
699         if (a->j[j] >= i) {
700 #if defined(PETSC_USE_COMPLEX)
701           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) {
702             ierr = PetscViewerASCIIPrintf(viewer," %18.16e %18.16e ",(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
703           }
704 #else
705           if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," %18.16e ",(double)a->a[j]);CHKERRQ(ierr);}
706 #endif
707         }
708       }
709       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
710     }
711     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
712   } else if (format == PETSC_VIEWER_ASCII_DENSE) {
713     PetscInt    cnt = 0,jcnt;
714     PetscScalar value;
715 #if defined(PETSC_USE_COMPLEX)
716     PetscBool   realonly = PETSC_TRUE;
717 
718     for (i=0; i<a->i[m]; i++) {
719       if (PetscImaginaryPart(a->a[i]) != 0.0) {
720         realonly = PETSC_FALSE;
721         break;
722       }
723     }
724 #endif
725 
726     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
727     for (i=0; i<m; i++) {
728       jcnt = 0;
729       for (j=0; j<A->cmap->n; j++) {
730         if (jcnt < a->i[i+1]-a->i[i] && j == a->j[cnt]) {
731           value = a->a[cnt++];
732           jcnt++;
733         } else {
734           value = 0.0;
735         }
736 #if defined(PETSC_USE_COMPLEX)
737         if (realonly) {
738           ierr = PetscViewerASCIIPrintf(viewer," %7.5e ",(double)PetscRealPart(value));CHKERRQ(ierr);
739         } else {
740           ierr = PetscViewerASCIIPrintf(viewer," %7.5e+%7.5e i ",(double)PetscRealPart(value),(double)PetscImaginaryPart(value));CHKERRQ(ierr);
741         }
742 #else
743         ierr = PetscViewerASCIIPrintf(viewer," %7.5e ",(double)value);CHKERRQ(ierr);
744 #endif
745       }
746       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
747     }
748     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
749   } else if (format == PETSC_VIEWER_ASCII_MATRIXMARKET) {
750     PetscInt fshift=1;
751     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
752 #if defined(PETSC_USE_COMPLEX)
753     ierr = PetscViewerASCIIPrintf(viewer,"%%%%MatrixMarket matrix coordinate complex general\n");CHKERRQ(ierr);
754 #else
755     ierr = PetscViewerASCIIPrintf(viewer,"%%%%MatrixMarket matrix coordinate real general\n");CHKERRQ(ierr);
756 #endif
757     ierr = PetscViewerASCIIPrintf(viewer,"%D %D %D\n", m, A->cmap->n, a->nz);CHKERRQ(ierr);
758     for (i=0; i<m; i++) {
759       for (j=a->i[i]; j<a->i[i+1]; j++) {
760 #if defined(PETSC_USE_COMPLEX)
761         ierr = PetscViewerASCIIPrintf(viewer,"%D %D %g %g\n", i+fshift,a->j[j]+fshift,(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
762 #else
763         ierr = PetscViewerASCIIPrintf(viewer,"%D %D %g\n", i+fshift, a->j[j]+fshift, (double)a->a[j]);CHKERRQ(ierr);
764 #endif
765       }
766     }
767     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
768   } else {
769     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
770     if (A->factortype) {
771       for (i=0; i<m; i++) {
772         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
773         /* L part */
774         for (j=a->i[i]; j<a->i[i+1]; j++) {
775 #if defined(PETSC_USE_COMPLEX)
776           if (PetscImaginaryPart(a->a[j]) > 0.0) {
777             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
778           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
779             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)(-PetscImaginaryPart(a->a[j])));CHKERRQ(ierr);
780           } else {
781             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
782           }
783 #else
784           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);
785 #endif
786         }
787         /* diagonal */
788         j = a->diag[i];
789 #if defined(PETSC_USE_COMPLEX)
790         if (PetscImaginaryPart(a->a[j]) > 0.0) {
791           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(1.0/a->a[j]),(double)PetscImaginaryPart(1.0/a->a[j]));CHKERRQ(ierr);
792         } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
793           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(1.0/a->a[j]),(double)(-PetscImaginaryPart(1.0/a->a[j])));CHKERRQ(ierr);
794         } else {
795           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(1.0/a->a[j]));CHKERRQ(ierr);
796         }
797 #else
798         ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)(1.0/a->a[j]));CHKERRQ(ierr);
799 #endif
800 
801         /* U part */
802         for (j=a->diag[i+1]+1; j<a->diag[i]; j++) {
803 #if defined(PETSC_USE_COMPLEX)
804           if (PetscImaginaryPart(a->a[j]) > 0.0) {
805             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
806           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
807             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)(-PetscImaginaryPart(a->a[j])));CHKERRQ(ierr);
808           } else {
809             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
810           }
811 #else
812           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);
813 #endif
814         }
815         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
816       }
817     } else {
818       for (i=0; i<m; i++) {
819         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
820         for (j=a->i[i]; j<a->i[i+1]; j++) {
821 #if defined(PETSC_USE_COMPLEX)
822           if (PetscImaginaryPart(a->a[j]) > 0.0) {
823             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
824           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
825             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
826           } else {
827             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
828           }
829 #else
830           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);
831 #endif
832         }
833         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
834       }
835     }
836     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
837   }
838   ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
839   PetscFunctionReturn(0);
840 }
841 
842 #include <petscdraw.h>
843 #undef __FUNCT__
844 #define __FUNCT__ "MatView_SeqAIJ_Draw_Zoom"
845 PetscErrorCode MatView_SeqAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
846 {
847   Mat               A  = (Mat) Aa;
848   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
849   PetscErrorCode    ierr;
850   PetscInt          i,j,m = A->rmap->n,color;
851   PetscReal         xl,yl,xr,yr,x_l,x_r,y_l,y_r,maxv = 0.0;
852   PetscViewer       viewer;
853   PetscViewerFormat format;
854 
855   PetscFunctionBegin;
856   ierr = PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer);CHKERRQ(ierr);
857   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
858 
859   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
860   /* loop over matrix elements drawing boxes */
861 
862   if (format != PETSC_VIEWER_DRAW_CONTOUR) {
863     /* Blue for negative, Cyan for zero and  Red for positive */
864     color = PETSC_DRAW_BLUE;
865     for (i=0; i<m; i++) {
866       y_l = m - i - 1.0; y_r = y_l + 1.0;
867       for (j=a->i[i]; j<a->i[i+1]; j++) {
868         x_l = a->j[j]; x_r = x_l + 1.0;
869         if (PetscRealPart(a->a[j]) >=  0.) continue;
870         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
871       }
872     }
873     color = PETSC_DRAW_CYAN;
874     for (i=0; i<m; i++) {
875       y_l = m - i - 1.0; y_r = y_l + 1.0;
876       for (j=a->i[i]; j<a->i[i+1]; j++) {
877         x_l = a->j[j]; x_r = x_l + 1.0;
878         if (a->a[j] !=  0.) continue;
879         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
880       }
881     }
882     color = PETSC_DRAW_RED;
883     for (i=0; i<m; i++) {
884       y_l = m - i - 1.0; y_r = y_l + 1.0;
885       for (j=a->i[i]; j<a->i[i+1]; j++) {
886         x_l = a->j[j]; x_r = x_l + 1.0;
887         if (PetscRealPart(a->a[j]) <=  0.) continue;
888         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
889       }
890     }
891   } else {
892     /* use contour shading to indicate magnitude of values */
893     /* first determine max of all nonzero values */
894     PetscInt  nz = a->nz,count;
895     PetscDraw popup;
896     PetscReal scale;
897 
898     for (i=0; i<nz; i++) {
899       if (PetscAbsScalar(a->a[i]) > maxv) maxv = PetscAbsScalar(a->a[i]);
900     }
901     scale = (245.0 - PETSC_DRAW_BASIC_COLORS)/maxv;
902     ierr  = PetscDrawGetPopup(draw,&popup);CHKERRQ(ierr);
903     if (popup) {
904       ierr = PetscDrawScalePopup(popup,0.0,maxv);CHKERRQ(ierr);
905     }
906     count = 0;
907     for (i=0; i<m; i++) {
908       y_l = m - i - 1.0; y_r = y_l + 1.0;
909       for (j=a->i[i]; j<a->i[i+1]; j++) {
910         x_l   = a->j[j]; x_r = x_l + 1.0;
911         color = PETSC_DRAW_BASIC_COLORS + (PetscInt)(scale*PetscAbsScalar(a->a[count]));
912         ierr  = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
913         count++;
914       }
915     }
916   }
917   PetscFunctionReturn(0);
918 }
919 
920 #include <petscdraw.h>
921 #undef __FUNCT__
922 #define __FUNCT__ "MatView_SeqAIJ_Draw"
923 PetscErrorCode MatView_SeqAIJ_Draw(Mat A,PetscViewer viewer)
924 {
925   PetscErrorCode ierr;
926   PetscDraw      draw;
927   PetscReal      xr,yr,xl,yl,h,w;
928   PetscBool      isnull;
929 
930   PetscFunctionBegin;
931   ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
932   ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr);
933   if (isnull) PetscFunctionReturn(0);
934 
935   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer);CHKERRQ(ierr);
936   xr   = A->cmap->n; yr = A->rmap->n; h = yr/10.0; w = xr/10.0;
937   xr  += w;    yr += h;  xl = -w;     yl = -h;
938   ierr = PetscDrawSetCoordinates(draw,xl,yl,xr,yr);CHKERRQ(ierr);
939   ierr = PetscDrawZoom(draw,MatView_SeqAIJ_Draw_Zoom,A);CHKERRQ(ierr);
940   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",NULL);CHKERRQ(ierr);
941   PetscFunctionReturn(0);
942 }
943 
944 #undef __FUNCT__
945 #define __FUNCT__ "MatView_SeqAIJ"
946 PetscErrorCode MatView_SeqAIJ(Mat A,PetscViewer viewer)
947 {
948   PetscErrorCode ierr;
949   PetscBool      iascii,isbinary,isdraw;
950 
951   PetscFunctionBegin;
952   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
953   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
954   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
955   if (iascii) {
956     ierr = MatView_SeqAIJ_ASCII(A,viewer);CHKERRQ(ierr);
957   } else if (isbinary) {
958     ierr = MatView_SeqAIJ_Binary(A,viewer);CHKERRQ(ierr);
959   } else if (isdraw) {
960     ierr = MatView_SeqAIJ_Draw(A,viewer);CHKERRQ(ierr);
961   }
962   ierr = MatView_SeqAIJ_Inode(A,viewer);CHKERRQ(ierr);
963   PetscFunctionReturn(0);
964 }
965 
966 #undef __FUNCT__
967 #define __FUNCT__ "MatAssemblyEnd_SeqAIJ"
968 PetscErrorCode MatAssemblyEnd_SeqAIJ(Mat A,MatAssemblyType mode)
969 {
970   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
971   PetscErrorCode ierr;
972   PetscInt       fshift = 0,i,j,*ai = a->i,*aj = a->j,*imax = a->imax;
973   PetscInt       m      = A->rmap->n,*ip,N,*ailen = a->ilen,rmax = 0;
974   MatScalar      *aa    = a->a,*ap;
975   PetscReal      ratio  = 0.6;
976 
977   PetscFunctionBegin;
978   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
979 
980   if (m) rmax = ailen[0]; /* determine row with most nonzeros */
981   for (i=1; i<m; i++) {
982     /* move each row back by the amount of empty slots (fshift) before it*/
983     fshift += imax[i-1] - ailen[i-1];
984     rmax    = PetscMax(rmax,ailen[i]);
985     if (fshift) {
986       ip = aj + ai[i];
987       ap = aa + ai[i];
988       N  = ailen[i];
989       for (j=0; j<N; j++) {
990         ip[j-fshift] = ip[j];
991         ap[j-fshift] = ap[j];
992       }
993     }
994     ai[i] = ai[i-1] + ailen[i-1];
995   }
996   if (m) {
997     fshift += imax[m-1] - ailen[m-1];
998     ai[m]   = ai[m-1] + ailen[m-1];
999   }
1000 
1001   /* reset ilen and imax for each row */
1002   a->nonzerorowcnt = 0;
1003   for (i=0; i<m; i++) {
1004     ailen[i] = imax[i] = ai[i+1] - ai[i];
1005     a->nonzerorowcnt += ((ai[i+1] - ai[i]) > 0);
1006   }
1007   a->nz = ai[m];
1008   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);
1009 
1010   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1011   ierr = PetscInfo4(A,"Matrix size: %D X %D; storage space: %D unneeded,%D used\n",m,A->cmap->n,fshift,a->nz);CHKERRQ(ierr);
1012   ierr = PetscInfo1(A,"Number of mallocs during MatSetValues() is %D\n",a->reallocs);CHKERRQ(ierr);
1013   ierr = PetscInfo1(A,"Maximum nonzeros in any row is %D\n",rmax);CHKERRQ(ierr);
1014 
1015   A->info.mallocs    += a->reallocs;
1016   a->reallocs         = 0;
1017   A->info.nz_unneeded = (PetscReal)fshift;
1018   a->rmax             = rmax;
1019 
1020   ierr = MatCheckCompressedRow(A,a->nonzerorowcnt,&a->compressedrow,a->i,m,ratio);CHKERRQ(ierr);
1021   ierr = MatAssemblyEnd_SeqAIJ_Inode(A,mode);CHKERRQ(ierr);
1022   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1023   PetscFunctionReturn(0);
1024 }
1025 
1026 #undef __FUNCT__
1027 #define __FUNCT__ "MatRealPart_SeqAIJ"
1028 PetscErrorCode MatRealPart_SeqAIJ(Mat A)
1029 {
1030   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1031   PetscInt       i,nz = a->nz;
1032   MatScalar      *aa = a->a;
1033   PetscErrorCode ierr;
1034 
1035   PetscFunctionBegin;
1036   for (i=0; i<nz; i++) aa[i] = PetscRealPart(aa[i]);
1037   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1038   PetscFunctionReturn(0);
1039 }
1040 
1041 #undef __FUNCT__
1042 #define __FUNCT__ "MatImaginaryPart_SeqAIJ"
1043 PetscErrorCode MatImaginaryPart_SeqAIJ(Mat A)
1044 {
1045   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1046   PetscInt       i,nz = a->nz;
1047   MatScalar      *aa = a->a;
1048   PetscErrorCode ierr;
1049 
1050   PetscFunctionBegin;
1051   for (i=0; i<nz; i++) aa[i] = PetscImaginaryPart(aa[i]);
1052   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1053   PetscFunctionReturn(0);
1054 }
1055 
1056 #undef __FUNCT__
1057 #define __FUNCT__ "MatZeroEntries_SeqAIJ"
1058 PetscErrorCode MatZeroEntries_SeqAIJ(Mat A)
1059 {
1060   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1061   PetscErrorCode ierr;
1062 
1063   PetscFunctionBegin;
1064   ierr = PetscMemzero(a->a,(a->i[A->rmap->n])*sizeof(PetscScalar));CHKERRQ(ierr);
1065   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1066   PetscFunctionReturn(0);
1067 }
1068 
1069 #undef __FUNCT__
1070 #define __FUNCT__ "MatDestroy_SeqAIJ"
1071 PetscErrorCode MatDestroy_SeqAIJ(Mat A)
1072 {
1073   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1074   PetscErrorCode ierr;
1075 
1076   PetscFunctionBegin;
1077 #if defined(PETSC_USE_LOG)
1078   PetscLogObjectState((PetscObject)A,"Rows=%D, Cols=%D, NZ=%D",A->rmap->n,A->cmap->n,a->nz);
1079 #endif
1080   ierr = MatSeqXAIJFreeAIJ(A,&a->a,&a->j,&a->i);CHKERRQ(ierr);
1081   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
1082   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
1083   ierr = PetscFree(a->diag);CHKERRQ(ierr);
1084   ierr = PetscFree(a->ibdiag);CHKERRQ(ierr);
1085   ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);
1086   ierr = PetscFree3(a->idiag,a->mdiag,a->ssor_work);CHKERRQ(ierr);
1087   ierr = PetscFree(a->solve_work);CHKERRQ(ierr);
1088   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
1089   ierr = PetscFree(a->saved_values);CHKERRQ(ierr);
1090   ierr = ISColoringDestroy(&a->coloring);CHKERRQ(ierr);
1091   ierr = PetscFree2(a->compressedrow.i,a->compressedrow.rindex);CHKERRQ(ierr);
1092   ierr = PetscFree(a->matmult_abdense);CHKERRQ(ierr);
1093 
1094   ierr = MatDestroy_SeqAIJ_Inode(A);CHKERRQ(ierr);
1095   ierr = PetscFree(A->data);CHKERRQ(ierr);
1096 
1097   ierr = PetscObjectChangeTypeName((PetscObject)A,0);CHKERRQ(ierr);
1098   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetColumnIndices_C",NULL);CHKERRQ(ierr);
1099   ierr = PetscObjectComposeFunction((PetscObject)A,"MatStoreValues_C",NULL);CHKERRQ(ierr);
1100   ierr = PetscObjectComposeFunction((PetscObject)A,"MatRetrieveValues_C",NULL);CHKERRQ(ierr);
1101   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqsbaij_C",NULL);CHKERRQ(ierr);
1102   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqbaij_C",NULL);CHKERRQ(ierr);
1103   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqaijperm_C",NULL);CHKERRQ(ierr);
1104 #if defined(PETSC_HAVE_ELEMENTAL)
1105   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_elemental_C",NULL);CHKERRQ(ierr);
1106 #endif
1107   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqdense_C",NULL);CHKERRQ(ierr);
1108   ierr = PetscObjectComposeFunction((PetscObject)A,"MatIsTranspose_C",NULL);CHKERRQ(ierr);
1109   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetPreallocation_C",NULL);CHKERRQ(ierr);
1110   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetPreallocationCSR_C",NULL);CHKERRQ(ierr);
1111   ierr = PetscObjectComposeFunction((PetscObject)A,"MatReorderForNonzeroDiagonal_C",NULL);CHKERRQ(ierr);
1112   PetscFunctionReturn(0);
1113 }
1114 
1115 #undef __FUNCT__
1116 #define __FUNCT__ "MatSetOption_SeqAIJ"
1117 PetscErrorCode MatSetOption_SeqAIJ(Mat A,MatOption op,PetscBool flg)
1118 {
1119   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1120   PetscErrorCode ierr;
1121 
1122   PetscFunctionBegin;
1123   switch (op) {
1124   case MAT_ROW_ORIENTED:
1125     a->roworiented = flg;
1126     break;
1127   case MAT_KEEP_NONZERO_PATTERN:
1128     a->keepnonzeropattern = flg;
1129     break;
1130   case MAT_NEW_NONZERO_LOCATIONS:
1131     a->nonew = (flg ? 0 : 1);
1132     break;
1133   case MAT_NEW_NONZERO_LOCATION_ERR:
1134     a->nonew = (flg ? -1 : 0);
1135     break;
1136   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1137     a->nonew = (flg ? -2 : 0);
1138     break;
1139   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1140     a->nounused = (flg ? -1 : 0);
1141     break;
1142   case MAT_IGNORE_ZERO_ENTRIES:
1143     a->ignorezeroentries = flg;
1144     break;
1145   case MAT_SPD:
1146   case MAT_SYMMETRIC:
1147   case MAT_STRUCTURALLY_SYMMETRIC:
1148   case MAT_HERMITIAN:
1149   case MAT_SYMMETRY_ETERNAL:
1150     /* These options are handled directly by MatSetOption() */
1151     break;
1152   case MAT_NEW_DIAGONALS:
1153   case MAT_IGNORE_OFF_PROC_ENTRIES:
1154   case MAT_USE_HASH_TABLE:
1155     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1156     break;
1157   case MAT_USE_INODES:
1158     /* Not an error because MatSetOption_SeqAIJ_Inode handles this one */
1159     break;
1160   default:
1161     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
1162   }
1163   ierr = MatSetOption_SeqAIJ_Inode(A,op,flg);CHKERRQ(ierr);
1164   PetscFunctionReturn(0);
1165 }
1166 
1167 #undef __FUNCT__
1168 #define __FUNCT__ "MatGetDiagonal_SeqAIJ"
1169 PetscErrorCode MatGetDiagonal_SeqAIJ(Mat A,Vec v)
1170 {
1171   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1172   PetscErrorCode ierr;
1173   PetscInt       i,j,n,*ai=a->i,*aj=a->j,nz;
1174   PetscScalar    *aa=a->a,*x,zero=0.0;
1175 
1176   PetscFunctionBegin;
1177   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
1178   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
1179 
1180   if (A->factortype == MAT_FACTOR_ILU || A->factortype == MAT_FACTOR_LU) {
1181     PetscInt *diag=a->diag;
1182     ierr = VecGetArray(v,&x);CHKERRQ(ierr);
1183     for (i=0; i<n; i++) x[i] = 1.0/aa[diag[i]];
1184     ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
1185     PetscFunctionReturn(0);
1186   }
1187 
1188   ierr = VecSet(v,zero);CHKERRQ(ierr);
1189   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
1190   for (i=0; i<n; i++) {
1191     nz = ai[i+1] - ai[i];
1192     if (!nz) x[i] = 0.0;
1193     for (j=ai[i]; j<ai[i+1]; j++) {
1194       if (aj[j] == i) {
1195         x[i] = aa[j];
1196         break;
1197       }
1198     }
1199   }
1200   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
1201   PetscFunctionReturn(0);
1202 }
1203 
1204 #include <../src/mat/impls/aij/seq/ftn-kernels/fmult.h>
1205 #undef __FUNCT__
1206 #define __FUNCT__ "MatMultTransposeAdd_SeqAIJ"
1207 PetscErrorCode MatMultTransposeAdd_SeqAIJ(Mat A,Vec xx,Vec zz,Vec yy)
1208 {
1209   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1210   PetscScalar       *y;
1211   const PetscScalar *x;
1212   PetscErrorCode    ierr;
1213   PetscInt          m = A->rmap->n;
1214 #if !defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
1215   const MatScalar   *v;
1216   PetscScalar       alpha;
1217   PetscInt          n,i,j;
1218   const PetscInt    *idx,*ii,*ridx=NULL;
1219   Mat_CompressedRow cprow    = a->compressedrow;
1220   PetscBool         usecprow = cprow.use;
1221 #endif
1222 
1223   PetscFunctionBegin;
1224   if (zz != yy) {ierr = VecCopy(zz,yy);CHKERRQ(ierr);}
1225   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1226   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1227 
1228 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
1229   fortranmulttransposeaddaij_(&m,x,a->i,a->j,a->a,y);
1230 #else
1231   if (usecprow) {
1232     m    = cprow.nrows;
1233     ii   = cprow.i;
1234     ridx = cprow.rindex;
1235   } else {
1236     ii = a->i;
1237   }
1238   for (i=0; i<m; i++) {
1239     idx = a->j + ii[i];
1240     v   = a->a + ii[i];
1241     n   = ii[i+1] - ii[i];
1242     if (usecprow) {
1243       alpha = x[ridx[i]];
1244     } else {
1245       alpha = x[i];
1246     }
1247     for (j=0; j<n; j++) y[idx[j]] += alpha*v[j];
1248   }
1249 #endif
1250   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1251   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1252   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1253   PetscFunctionReturn(0);
1254 }
1255 
1256 #undef __FUNCT__
1257 #define __FUNCT__ "MatMultTranspose_SeqAIJ"
1258 PetscErrorCode MatMultTranspose_SeqAIJ(Mat A,Vec xx,Vec yy)
1259 {
1260   PetscErrorCode ierr;
1261 
1262   PetscFunctionBegin;
1263   ierr = VecSet(yy,0.0);CHKERRQ(ierr);
1264   ierr = MatMultTransposeAdd_SeqAIJ(A,xx,yy,yy);CHKERRQ(ierr);
1265   PetscFunctionReturn(0);
1266 }
1267 
1268 #include <../src/mat/impls/aij/seq/ftn-kernels/fmult.h>
1269 
1270 #undef __FUNCT__
1271 #define __FUNCT__ "MatMult_SeqAIJ"
1272 PetscErrorCode MatMult_SeqAIJ(Mat A,Vec xx,Vec yy)
1273 {
1274   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1275   PetscScalar       *y;
1276   const PetscScalar *x;
1277   const MatScalar   *aa;
1278   PetscErrorCode    ierr;
1279   PetscInt          m=A->rmap->n;
1280   const PetscInt    *aj,*ii,*ridx=NULL;
1281   PetscInt          n,i;
1282   PetscScalar       sum;
1283   PetscBool         usecprow=a->compressedrow.use;
1284 
1285 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
1286 #pragma disjoint(*x,*y,*aa)
1287 #endif
1288 
1289   PetscFunctionBegin;
1290   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1291   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1292   aj   = a->j;
1293   aa   = a->a;
1294   ii   = a->i;
1295   if (usecprow) { /* use compressed row format */
1296     ierr = PetscMemzero(y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1297     m    = a->compressedrow.nrows;
1298     ii   = a->compressedrow.i;
1299     ridx = a->compressedrow.rindex;
1300     for (i=0; i<m; i++) {
1301       n           = ii[i+1] - ii[i];
1302       aj          = a->j + ii[i];
1303       aa          = a->a + ii[i];
1304       sum         = 0.0;
1305       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1306       /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */
1307       y[*ridx++] = sum;
1308     }
1309   } else { /* do not use compressed row format */
1310 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTAIJ)
1311     fortranmultaij_(&m,x,ii,aj,aa,y);
1312 #else
1313     for (i=0; i<m; i++) {
1314       n           = ii[i+1] - ii[i];
1315       aj          = a->j + ii[i];
1316       aa          = a->a + ii[i];
1317       sum         = 0.0;
1318       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1319       y[i] = sum;
1320     }
1321 #endif
1322   }
1323   ierr = PetscLogFlops(2.0*a->nz - a->nonzerorowcnt);CHKERRQ(ierr);
1324   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1325   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1326   PetscFunctionReturn(0);
1327 }
1328 
1329 #undef __FUNCT__
1330 #define __FUNCT__ "MatMultMax_SeqAIJ"
1331 PetscErrorCode MatMultMax_SeqAIJ(Mat A,Vec xx,Vec yy)
1332 {
1333   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1334   PetscScalar       *y;
1335   const PetscScalar *x;
1336   const MatScalar   *aa;
1337   PetscErrorCode    ierr;
1338   PetscInt          m=A->rmap->n;
1339   const PetscInt    *aj,*ii,*ridx=NULL;
1340   PetscInt          n,i,nonzerorow=0;
1341   PetscScalar       sum;
1342   PetscBool         usecprow=a->compressedrow.use;
1343 
1344 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
1345 #pragma disjoint(*x,*y,*aa)
1346 #endif
1347 
1348   PetscFunctionBegin;
1349   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1350   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1351   aj   = a->j;
1352   aa   = a->a;
1353   ii   = a->i;
1354   if (usecprow) { /* use compressed row format */
1355     m    = a->compressedrow.nrows;
1356     ii   = a->compressedrow.i;
1357     ridx = a->compressedrow.rindex;
1358     for (i=0; i<m; i++) {
1359       n           = ii[i+1] - ii[i];
1360       aj          = a->j + ii[i];
1361       aa          = a->a + ii[i];
1362       sum         = 0.0;
1363       nonzerorow += (n>0);
1364       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1365       /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */
1366       y[*ridx++] = sum;
1367     }
1368   } else { /* do not use compressed row format */
1369     for (i=0; i<m; i++) {
1370       n           = ii[i+1] - ii[i];
1371       aj          = a->j + ii[i];
1372       aa          = a->a + ii[i];
1373       sum         = 0.0;
1374       nonzerorow += (n>0);
1375       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1376       y[i] = sum;
1377     }
1378   }
1379   ierr = PetscLogFlops(2.0*a->nz - nonzerorow);CHKERRQ(ierr);
1380   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1381   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1382   PetscFunctionReturn(0);
1383 }
1384 
1385 #undef __FUNCT__
1386 #define __FUNCT__ "MatMultAddMax_SeqAIJ"
1387 PetscErrorCode MatMultAddMax_SeqAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1388 {
1389   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1390   PetscScalar       *y,*z;
1391   const PetscScalar *x;
1392   const MatScalar   *aa;
1393   PetscErrorCode    ierr;
1394   PetscInt          m = A->rmap->n,*aj,*ii;
1395   PetscInt          n,i,*ridx=NULL;
1396   PetscScalar       sum;
1397   PetscBool         usecprow=a->compressedrow.use;
1398 
1399   PetscFunctionBegin;
1400   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1401   ierr = VecGetArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1402 
1403   aj = a->j;
1404   aa = a->a;
1405   ii = a->i;
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     for (i=0; i<m; i++) {
1423       n   = ii[i+1] - ii[i];
1424       aj  = a->j + ii[i];
1425       aa  = a->a + ii[i];
1426       sum = y[i];
1427       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1428       z[i] = sum;
1429     }
1430   }
1431   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1432   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1433   ierr = VecRestoreArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1434   PetscFunctionReturn(0);
1435 }
1436 
1437 #include <../src/mat/impls/aij/seq/ftn-kernels/fmultadd.h>
1438 #undef __FUNCT__
1439 #define __FUNCT__ "MatMultAdd_SeqAIJ"
1440 PetscErrorCode MatMultAdd_SeqAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1441 {
1442   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1443   PetscScalar       *y,*z;
1444   const PetscScalar *x;
1445   const MatScalar   *aa;
1446   PetscErrorCode    ierr;
1447   const PetscInt    *aj,*ii,*ridx=NULL;
1448   PetscInt          m = A->rmap->n,n,i;
1449   PetscScalar       sum;
1450   PetscBool         usecprow=a->compressedrow.use;
1451 
1452   PetscFunctionBegin;
1453   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1454   ierr = VecGetArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1455 
1456   aj = a->j;
1457   aa = a->a;
1458   ii = a->i;
1459   if (usecprow) { /* use compressed row format */
1460     if (zz != yy) {
1461       ierr = PetscMemcpy(z,y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1462     }
1463     m    = a->compressedrow.nrows;
1464     ii   = a->compressedrow.i;
1465     ridx = a->compressedrow.rindex;
1466     for (i=0; i<m; i++) {
1467       n   = ii[i+1] - ii[i];
1468       aj  = a->j + ii[i];
1469       aa  = a->a + ii[i];
1470       sum = y[*ridx];
1471       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1472       z[*ridx++] = sum;
1473     }
1474   } else { /* do not use compressed row format */
1475 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTADDAIJ)
1476     fortranmultaddaij_(&m,x,ii,aj,aa,y,z);
1477 #else
1478     for (i=0; i<m; i++) {
1479       n   = ii[i+1] - ii[i];
1480       aj  = a->j + ii[i];
1481       aa  = a->a + ii[i];
1482       sum = y[i];
1483       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1484       z[i] = sum;
1485     }
1486 #endif
1487   }
1488   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1489   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1490   ierr = VecRestoreArrayPair(yy,zz,&y,&z);CHKERRQ(ierr);
1491 #if defined(PETSC_HAVE_CUSP)
1492   /*
1493   ierr = VecView(xx,0);CHKERRQ(ierr);
1494   ierr = VecView(zz,0);CHKERRQ(ierr);
1495   ierr = MatView(A,0);CHKERRQ(ierr);
1496   */
1497 #endif
1498   PetscFunctionReturn(0);
1499 }
1500 
1501 /*
1502      Adds diagonal pointers to sparse matrix structure.
1503 */
1504 #undef __FUNCT__
1505 #define __FUNCT__ "MatMarkDiagonal_SeqAIJ"
1506 PetscErrorCode MatMarkDiagonal_SeqAIJ(Mat A)
1507 {
1508   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1509   PetscErrorCode ierr;
1510   PetscInt       i,j,m = A->rmap->n;
1511 
1512   PetscFunctionBegin;
1513   if (!a->diag) {
1514     ierr = PetscMalloc1(m,&a->diag);CHKERRQ(ierr);
1515     ierr = PetscLogObjectMemory((PetscObject)A, m*sizeof(PetscInt));CHKERRQ(ierr);
1516   }
1517   for (i=0; i<A->rmap->n; i++) {
1518     a->diag[i] = a->i[i+1];
1519     for (j=a->i[i]; j<a->i[i+1]; j++) {
1520       if (a->j[j] == i) {
1521         a->diag[i] = j;
1522         break;
1523       }
1524     }
1525   }
1526   PetscFunctionReturn(0);
1527 }
1528 
1529 /*
1530      Checks for missing diagonals
1531 */
1532 #undef __FUNCT__
1533 #define __FUNCT__ "MatMissingDiagonal_SeqAIJ"
1534 PetscErrorCode MatMissingDiagonal_SeqAIJ(Mat A,PetscBool  *missing,PetscInt *d)
1535 {
1536   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1537   PetscInt   *diag,*ii = a->i,i;
1538 
1539   PetscFunctionBegin;
1540   *missing = PETSC_FALSE;
1541   if (A->rmap->n > 0 && !ii) {
1542     *missing = PETSC_TRUE;
1543     if (d) *d = 0;
1544     PetscInfo(A,"Matrix has no entries therefore is missing diagonal\n");
1545   } else {
1546     diag = a->diag;
1547     for (i=0; i<A->rmap->n; i++) {
1548       if (diag[i] >= ii[i+1]) {
1549         *missing = PETSC_TRUE;
1550         if (d) *d = i;
1551         PetscInfo1(A,"Matrix is missing diagonal number %D\n",i);
1552         break;
1553       }
1554     }
1555   }
1556   PetscFunctionReturn(0);
1557 }
1558 
1559 #undef __FUNCT__
1560 #define __FUNCT__ "MatInvertDiagonal_SeqAIJ"
1561 /*
1562    Negative shift indicates do not generate an error if there is a zero diagonal, just invert it anyways
1563 */
1564 PetscErrorCode  MatInvertDiagonal_SeqAIJ(Mat A,PetscScalar omega,PetscScalar fshift)
1565 {
1566   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
1567   PetscErrorCode ierr;
1568   PetscInt       i,*diag,m = A->rmap->n;
1569   MatScalar      *v = a->a;
1570   PetscScalar    *idiag,*mdiag;
1571 
1572   PetscFunctionBegin;
1573   if (a->idiagvalid) PetscFunctionReturn(0);
1574   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1575   diag = a->diag;
1576   if (!a->idiag) {
1577     ierr = PetscMalloc3(m,&a->idiag,m,&a->mdiag,m,&a->ssor_work);CHKERRQ(ierr);
1578     ierr = PetscLogObjectMemory((PetscObject)A, 3*m*sizeof(PetscScalar));CHKERRQ(ierr);
1579     v    = a->a;
1580   }
1581   mdiag = a->mdiag;
1582   idiag = a->idiag;
1583 
1584   if (omega == 1.0 && PetscRealPart(fshift) <= 0.0) {
1585     for (i=0; i<m; i++) {
1586       mdiag[i] = v[diag[i]];
1587       if (!PetscAbsScalar(mdiag[i])) { /* zero diagonal */
1588         if (PetscRealPart(fshift)) {
1589           ierr = PetscInfo1(A,"Zero diagonal on row %D\n",i);CHKERRQ(ierr);
1590           A->errortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
1591         } else {
1592           SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Zero diagonal on row %D",i);
1593         }
1594       }
1595       idiag[i] = 1.0/v[diag[i]];
1596     }
1597     ierr = PetscLogFlops(m);CHKERRQ(ierr);
1598   } else {
1599     for (i=0; i<m; i++) {
1600       mdiag[i] = v[diag[i]];
1601       idiag[i] = omega/(fshift + v[diag[i]]);
1602     }
1603     ierr = PetscLogFlops(2.0*m);CHKERRQ(ierr);
1604   }
1605   a->idiagvalid = PETSC_TRUE;
1606   PetscFunctionReturn(0);
1607 }
1608 
1609 #include <../src/mat/impls/aij/seq/ftn-kernels/frelax.h>
1610 #undef __FUNCT__
1611 #define __FUNCT__ "MatSOR_SeqAIJ"
1612 PetscErrorCode MatSOR_SeqAIJ(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
1613 {
1614   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1615   PetscScalar       *x,d,sum,*t,scale;
1616   const MatScalar   *v = a->a,*idiag=0,*mdiag;
1617   const PetscScalar *b, *bs,*xb, *ts;
1618   PetscErrorCode    ierr;
1619   PetscInt          n = A->cmap->n,m = A->rmap->n,i;
1620   const PetscInt    *idx,*diag;
1621 
1622   PetscFunctionBegin;
1623   its = its*lits;
1624 
1625   if (fshift != a->fshift || omega != a->omega) a->idiagvalid = PETSC_FALSE; /* must recompute idiag[] */
1626   if (!a->idiagvalid) {ierr = MatInvertDiagonal_SeqAIJ(A,omega,fshift);CHKERRQ(ierr);}
1627   a->fshift = fshift;
1628   a->omega  = omega;
1629 
1630   diag  = a->diag;
1631   t     = a->ssor_work;
1632   idiag = a->idiag;
1633   mdiag = a->mdiag;
1634 
1635   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1636   ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
1637   /* We count flops by assuming the upper triangular and lower triangular parts have the same number of nonzeros */
1638   if (flag == SOR_APPLY_UPPER) {
1639     /* apply (U + D/omega) to the vector */
1640     bs = b;
1641     for (i=0; i<m; i++) {
1642       d   = fshift + mdiag[i];
1643       n   = a->i[i+1] - diag[i] - 1;
1644       idx = a->j + diag[i] + 1;
1645       v   = a->a + diag[i] + 1;
1646       sum = b[i]*d/omega;
1647       PetscSparseDensePlusDot(sum,bs,v,idx,n);
1648       x[i] = sum;
1649     }
1650     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1651     ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1652     ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1653     PetscFunctionReturn(0);
1654   }
1655 
1656   if (flag == SOR_APPLY_LOWER) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SOR_APPLY_LOWER is not implemented");
1657   else if (flag & SOR_EISENSTAT) {
1658     /* Let  A = L + U + D; where L is lower trianglar,
1659     U is upper triangular, E = D/omega; This routine applies
1660 
1661             (L + E)^{-1} A (U + E)^{-1}
1662 
1663     to a vector efficiently using Eisenstat's trick.
1664     */
1665     scale = (2.0/omega) - 1.0;
1666 
1667     /*  x = (E + U)^{-1} b */
1668     for (i=m-1; i>=0; i--) {
1669       n   = a->i[i+1] - diag[i] - 1;
1670       idx = a->j + diag[i] + 1;
1671       v   = a->a + diag[i] + 1;
1672       sum = b[i];
1673       PetscSparseDenseMinusDot(sum,x,v,idx,n);
1674       x[i] = sum*idiag[i];
1675     }
1676 
1677     /*  t = b - (2*E - D)x */
1678     v = a->a;
1679     for (i=0; i<m; i++) t[i] = b[i] - scale*(v[*diag++])*x[i];
1680 
1681     /*  t = (E + L)^{-1}t */
1682     ts   = t;
1683     diag = a->diag;
1684     for (i=0; i<m; i++) {
1685       n   = diag[i] - a->i[i];
1686       idx = a->j + a->i[i];
1687       v   = a->a + a->i[i];
1688       sum = t[i];
1689       PetscSparseDenseMinusDot(sum,ts,v,idx,n);
1690       t[i] = sum*idiag[i];
1691       /*  x = x + t */
1692       x[i] += t[i];
1693     }
1694 
1695     ierr = PetscLogFlops(6.0*m-1 + 2.0*a->nz);CHKERRQ(ierr);
1696     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1697     ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1698     PetscFunctionReturn(0);
1699   }
1700   if (flag & SOR_ZERO_INITIAL_GUESS) {
1701     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
1702       for (i=0; i<m; i++) {
1703         n   = diag[i] - a->i[i];
1704         idx = a->j + a->i[i];
1705         v   = a->a + a->i[i];
1706         sum = b[i];
1707         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1708         t[i] = sum;
1709         x[i] = sum*idiag[i];
1710       }
1711       xb   = t;
1712       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1713     } else xb = b;
1714     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
1715       for (i=m-1; i>=0; i--) {
1716         n   = a->i[i+1] - diag[i] - 1;
1717         idx = a->j + diag[i] + 1;
1718         v   = a->a + diag[i] + 1;
1719         sum = xb[i];
1720         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1721         if (xb == b) {
1722           x[i] = sum*idiag[i];
1723         } else {
1724           x[i] = (1-omega)*x[i] + sum*idiag[i];  /* omega in idiag */
1725         }
1726       }
1727       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr); /* assumes 1/2 in upper */
1728     }
1729     its--;
1730   }
1731   while (its--) {
1732     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
1733       for (i=0; i<m; i++) {
1734         /* lower */
1735         n   = diag[i] - a->i[i];
1736         idx = a->j + a->i[i];
1737         v   = a->a + a->i[i];
1738         sum = b[i];
1739         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1740         t[i] = sum;             /* save application of the lower-triangular part */
1741         /* upper */
1742         n   = a->i[i+1] - diag[i] - 1;
1743         idx = a->j + diag[i] + 1;
1744         v   = a->a + diag[i] + 1;
1745         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1746         x[i] = (1. - omega)*x[i] + sum*idiag[i]; /* omega in idiag */
1747       }
1748       xb   = t;
1749       ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1750     } else xb = b;
1751     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
1752       for (i=m-1; i>=0; i--) {
1753         sum = xb[i];
1754         if (xb == b) {
1755           /* whole matrix (no checkpointing available) */
1756           n   = a->i[i+1] - a->i[i];
1757           idx = a->j + a->i[i];
1758           v   = a->a + a->i[i];
1759           PetscSparseDenseMinusDot(sum,x,v,idx,n);
1760           x[i] = (1. - omega)*x[i] + (sum + mdiag[i]*x[i])*idiag[i];
1761         } else { /* lower-triangular part has been saved, so only apply upper-triangular */
1762           n   = a->i[i+1] - diag[i] - 1;
1763           idx = a->j + diag[i] + 1;
1764           v   = a->a + diag[i] + 1;
1765           PetscSparseDenseMinusDot(sum,x,v,idx,n);
1766           x[i] = (1. - omega)*x[i] + sum*idiag[i];  /* omega in idiag */
1767         }
1768       }
1769       if (xb == b) {
1770         ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1771       } else {
1772         ierr = PetscLogFlops(a->nz);CHKERRQ(ierr); /* assumes 1/2 in upper */
1773       }
1774     }
1775   }
1776   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1777   ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1778   PetscFunctionReturn(0);
1779 }
1780 
1781 
1782 #undef __FUNCT__
1783 #define __FUNCT__ "MatGetInfo_SeqAIJ"
1784 PetscErrorCode MatGetInfo_SeqAIJ(Mat A,MatInfoType flag,MatInfo *info)
1785 {
1786   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1787 
1788   PetscFunctionBegin;
1789   info->block_size   = 1.0;
1790   info->nz_allocated = (double)a->maxnz;
1791   info->nz_used      = (double)a->nz;
1792   info->nz_unneeded  = (double)(a->maxnz - a->nz);
1793   info->assemblies   = (double)A->num_ass;
1794   info->mallocs      = (double)A->info.mallocs;
1795   info->memory       = ((PetscObject)A)->mem;
1796   if (A->factortype) {
1797     info->fill_ratio_given  = A->info.fill_ratio_given;
1798     info->fill_ratio_needed = A->info.fill_ratio_needed;
1799     info->factor_mallocs    = A->info.factor_mallocs;
1800   } else {
1801     info->fill_ratio_given  = 0;
1802     info->fill_ratio_needed = 0;
1803     info->factor_mallocs    = 0;
1804   }
1805   PetscFunctionReturn(0);
1806 }
1807 
1808 #undef __FUNCT__
1809 #define __FUNCT__ "MatZeroRows_SeqAIJ"
1810 PetscErrorCode MatZeroRows_SeqAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1811 {
1812   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1813   PetscInt          i,m = A->rmap->n - 1,d = 0;
1814   PetscErrorCode    ierr;
1815   const PetscScalar *xx;
1816   PetscScalar       *bb;
1817   PetscBool         missing;
1818 
1819   PetscFunctionBegin;
1820   if (x && b) {
1821     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1822     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1823     for (i=0; i<N; i++) {
1824       if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1825       bb[rows[i]] = diag*xx[rows[i]];
1826     }
1827     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1828     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1829   }
1830 
1831   if (a->keepnonzeropattern) {
1832     for (i=0; i<N; i++) {
1833       if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1834       ierr = PetscMemzero(&a->a[a->i[rows[i]]],a->ilen[rows[i]]*sizeof(PetscScalar));CHKERRQ(ierr);
1835     }
1836     if (diag != 0.0) {
1837       ierr = MatMissingDiagonal_SeqAIJ(A,&missing,&d);CHKERRQ(ierr);
1838       if (missing) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Matrix is missing diagonal entry in row %D",d);
1839       for (i=0; i<N; i++) {
1840         a->a[a->diag[rows[i]]] = diag;
1841       }
1842     }
1843   } else {
1844     if (diag != 0.0) {
1845       for (i=0; i<N; i++) {
1846         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1847         if (a->ilen[rows[i]] > 0) {
1848           a->ilen[rows[i]]    = 1;
1849           a->a[a->i[rows[i]]] = diag;
1850           a->j[a->i[rows[i]]] = rows[i];
1851         } else { /* in case row was completely empty */
1852           ierr = MatSetValues_SeqAIJ(A,1,&rows[i],1,&rows[i],&diag,INSERT_VALUES);CHKERRQ(ierr);
1853         }
1854       }
1855     } else {
1856       for (i=0; i<N; i++) {
1857         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1858         a->ilen[rows[i]] = 0;
1859       }
1860     }
1861     A->nonzerostate++;
1862   }
1863   ierr = MatAssemblyEnd_SeqAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1864   PetscFunctionReturn(0);
1865 }
1866 
1867 #undef __FUNCT__
1868 #define __FUNCT__ "MatZeroRowsColumns_SeqAIJ"
1869 PetscErrorCode MatZeroRowsColumns_SeqAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1870 {
1871   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1872   PetscInt          i,j,m = A->rmap->n - 1,d = 0;
1873   PetscErrorCode    ierr;
1874   PetscBool         missing,*zeroed,vecs = PETSC_FALSE;
1875   const PetscScalar *xx;
1876   PetscScalar       *bb;
1877 
1878   PetscFunctionBegin;
1879   if (x && b) {
1880     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1881     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1882     vecs = PETSC_TRUE;
1883   }
1884   ierr = PetscCalloc1(A->rmap->n,&zeroed);CHKERRQ(ierr);
1885   for (i=0; i<N; i++) {
1886     if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1887     ierr = PetscMemzero(&a->a[a->i[rows[i]]],a->ilen[rows[i]]*sizeof(PetscScalar));CHKERRQ(ierr);
1888 
1889     zeroed[rows[i]] = PETSC_TRUE;
1890   }
1891   for (i=0; i<A->rmap->n; i++) {
1892     if (!zeroed[i]) {
1893       for (j=a->i[i]; j<a->i[i+1]; j++) {
1894         if (zeroed[a->j[j]]) {
1895           if (vecs) bb[i] -= a->a[j]*xx[a->j[j]];
1896           a->a[j] = 0.0;
1897         }
1898       }
1899     } else if (vecs) bb[i] = diag*xx[i];
1900   }
1901   if (x && b) {
1902     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1903     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1904   }
1905   ierr = PetscFree(zeroed);CHKERRQ(ierr);
1906   if (diag != 0.0) {
1907     ierr = MatMissingDiagonal_SeqAIJ(A,&missing,&d);CHKERRQ(ierr);
1908     if (missing) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Matrix is missing diagonal entry in row %D",d);
1909     for (i=0; i<N; i++) {
1910       a->a[a->diag[rows[i]]] = diag;
1911     }
1912   }
1913   ierr = MatAssemblyEnd_SeqAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1914   PetscFunctionReturn(0);
1915 }
1916 
1917 #undef __FUNCT__
1918 #define __FUNCT__ "MatGetRow_SeqAIJ"
1919 PetscErrorCode MatGetRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1920 {
1921   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1922   PetscInt   *itmp;
1923 
1924   PetscFunctionBegin;
1925   if (row < 0 || row >= A->rmap->n) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row %D out of range",row);
1926 
1927   *nz = a->i[row+1] - a->i[row];
1928   if (v) *v = a->a + a->i[row];
1929   if (idx) {
1930     itmp = a->j + a->i[row];
1931     if (*nz) *idx = itmp;
1932     else *idx = 0;
1933   }
1934   PetscFunctionReturn(0);
1935 }
1936 
1937 /* remove this function? */
1938 #undef __FUNCT__
1939 #define __FUNCT__ "MatRestoreRow_SeqAIJ"
1940 PetscErrorCode MatRestoreRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1941 {
1942   PetscFunctionBegin;
1943   PetscFunctionReturn(0);
1944 }
1945 
1946 #undef __FUNCT__
1947 #define __FUNCT__ "MatNorm_SeqAIJ"
1948 PetscErrorCode MatNorm_SeqAIJ(Mat A,NormType type,PetscReal *nrm)
1949 {
1950   Mat_SeqAIJ     *a  = (Mat_SeqAIJ*)A->data;
1951   MatScalar      *v  = a->a;
1952   PetscReal      sum = 0.0;
1953   PetscErrorCode ierr;
1954   PetscInt       i,j;
1955 
1956   PetscFunctionBegin;
1957   if (type == NORM_FROBENIUS) {
1958     for (i=0; i<a->nz; i++) {
1959       sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
1960     }
1961     *nrm = PetscSqrtReal(sum);
1962   } else if (type == NORM_1) {
1963     PetscReal *tmp;
1964     PetscInt  *jj = a->j;
1965     ierr = PetscCalloc1(A->cmap->n+1,&tmp);CHKERRQ(ierr);
1966     *nrm = 0.0;
1967     for (j=0; j<a->nz; j++) {
1968       tmp[*jj++] += PetscAbsScalar(*v);  v++;
1969     }
1970     for (j=0; j<A->cmap->n; j++) {
1971       if (tmp[j] > *nrm) *nrm = tmp[j];
1972     }
1973     ierr = PetscFree(tmp);CHKERRQ(ierr);
1974   } else if (type == NORM_INFINITY) {
1975     *nrm = 0.0;
1976     for (j=0; j<A->rmap->n; j++) {
1977       v   = a->a + a->i[j];
1978       sum = 0.0;
1979       for (i=0; i<a->i[j+1]-a->i[j]; i++) {
1980         sum += PetscAbsScalar(*v); v++;
1981       }
1982       if (sum > *nrm) *nrm = sum;
1983     }
1984   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for two norm");
1985   PetscFunctionReturn(0);
1986 }
1987 
1988 /* Merged from MatGetSymbolicTranspose_SeqAIJ() - replace MatGetSymbolicTranspose_SeqAIJ()? */
1989 #undef __FUNCT__
1990 #define __FUNCT__ "MatTransposeSymbolic_SeqAIJ"
1991 PetscErrorCode MatTransposeSymbolic_SeqAIJ(Mat A,Mat *B)
1992 {
1993   PetscErrorCode ierr;
1994   PetscInt       i,j,anzj;
1995   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data,*b;
1996   PetscInt       an=A->cmap->N,am=A->rmap->N;
1997   PetscInt       *ati,*atj,*atfill,*ai=a->i,*aj=a->j;
1998 
1999   PetscFunctionBegin;
2000   /* Allocate space for symbolic transpose info and work array */
2001   ierr = PetscCalloc1(an+1,&ati);CHKERRQ(ierr);
2002   ierr = PetscMalloc1(ai[am],&atj);CHKERRQ(ierr);
2003   ierr = PetscMalloc1(an,&atfill);CHKERRQ(ierr);
2004 
2005   /* Walk through aj and count ## of non-zeros in each row of A^T. */
2006   /* Note: offset by 1 for fast conversion into csr format. */
2007   for (i=0;i<ai[am];i++) ati[aj[i]+1] += 1;
2008   /* Form ati for csr format of A^T. */
2009   for (i=0;i<an;i++) ati[i+1] += ati[i];
2010 
2011   /* Copy ati into atfill so we have locations of the next free space in atj */
2012   ierr = PetscMemcpy(atfill,ati,an*sizeof(PetscInt));CHKERRQ(ierr);
2013 
2014   /* Walk through A row-wise and mark nonzero entries of A^T. */
2015   for (i=0;i<am;i++) {
2016     anzj = ai[i+1] - ai[i];
2017     for (j=0;j<anzj;j++) {
2018       atj[atfill[*aj]] = i;
2019       atfill[*aj++]   += 1;
2020     }
2021   }
2022 
2023   /* Clean up temporary space and complete requests. */
2024   ierr = PetscFree(atfill);CHKERRQ(ierr);
2025   ierr = MatCreateSeqAIJWithArrays(PetscObjectComm((PetscObject)A),an,am,ati,atj,NULL,B);CHKERRQ(ierr);
2026   ierr = MatSetBlockSizes(*B,PetscAbs(A->cmap->bs),PetscAbs(A->rmap->bs));CHKERRQ(ierr);
2027 
2028   b          = (Mat_SeqAIJ*)((*B)->data);
2029   b->free_a  = PETSC_FALSE;
2030   b->free_ij = PETSC_TRUE;
2031   b->nonew   = 0;
2032   PetscFunctionReturn(0);
2033 }
2034 
2035 #undef __FUNCT__
2036 #define __FUNCT__ "MatTranspose_SeqAIJ"
2037 PetscErrorCode MatTranspose_SeqAIJ(Mat A,MatReuse reuse,Mat *B)
2038 {
2039   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2040   Mat            C;
2041   PetscErrorCode ierr;
2042   PetscInt       i,*aj = a->j,*ai = a->i,m = A->rmap->n,len,*col;
2043   MatScalar      *array = a->a;
2044 
2045   PetscFunctionBegin;
2046   if (reuse == MAT_REUSE_MATRIX && A == *B && m != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Square matrix only for in-place");
2047 
2048   if (reuse == MAT_INITIAL_MATRIX || *B == A) {
2049     ierr = PetscCalloc1(1+A->cmap->n,&col);CHKERRQ(ierr);
2050 
2051     for (i=0; i<ai[m]; i++) col[aj[i]] += 1;
2052     ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2053     ierr = MatSetSizes(C,A->cmap->n,m,A->cmap->n,m);CHKERRQ(ierr);
2054     ierr = MatSetBlockSizes(C,PetscAbs(A->cmap->bs),PetscAbs(A->rmap->bs));CHKERRQ(ierr);
2055     ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2056     ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,col);CHKERRQ(ierr);
2057     ierr = PetscFree(col);CHKERRQ(ierr);
2058   } else {
2059     C = *B;
2060   }
2061 
2062   for (i=0; i<m; i++) {
2063     len    = ai[i+1]-ai[i];
2064     ierr   = MatSetValues_SeqAIJ(C,len,aj,1,&i,array,INSERT_VALUES);CHKERRQ(ierr);
2065     array += len;
2066     aj    += len;
2067   }
2068   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2069   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2070 
2071   if (reuse == MAT_INITIAL_MATRIX || *B != A) {
2072     *B = C;
2073   } else {
2074     ierr = MatHeaderMerge(A,&C);CHKERRQ(ierr);
2075   }
2076   PetscFunctionReturn(0);
2077 }
2078 
2079 #undef __FUNCT__
2080 #define __FUNCT__ "MatIsTranspose_SeqAIJ"
2081 PetscErrorCode  MatIsTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
2082 {
2083   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) A->data,*bij = (Mat_SeqAIJ*) A->data;
2084   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr;
2085   MatScalar      *va,*vb;
2086   PetscErrorCode ierr;
2087   PetscInt       ma,na,mb,nb, i;
2088 
2089   PetscFunctionBegin;
2090   bij = (Mat_SeqAIJ*) B->data;
2091 
2092   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
2093   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
2094   if (ma!=nb || na!=mb) {
2095     *f = PETSC_FALSE;
2096     PetscFunctionReturn(0);
2097   }
2098   aii  = aij->i; bii = bij->i;
2099   adx  = aij->j; bdx = bij->j;
2100   va   = aij->a; vb = bij->a;
2101   ierr = PetscMalloc1(ma,&aptr);CHKERRQ(ierr);
2102   ierr = PetscMalloc1(mb,&bptr);CHKERRQ(ierr);
2103   for (i=0; i<ma; i++) aptr[i] = aii[i];
2104   for (i=0; i<mb; i++) bptr[i] = bii[i];
2105 
2106   *f = PETSC_TRUE;
2107   for (i=0; i<ma; i++) {
2108     while (aptr[i]<aii[i+1]) {
2109       PetscInt    idc,idr;
2110       PetscScalar vc,vr;
2111       /* column/row index/value */
2112       idc = adx[aptr[i]];
2113       idr = bdx[bptr[idc]];
2114       vc  = va[aptr[i]];
2115       vr  = vb[bptr[idc]];
2116       if (i!=idr || PetscAbsScalar(vc-vr) > tol) {
2117         *f = PETSC_FALSE;
2118         goto done;
2119       } else {
2120         aptr[i]++;
2121         if (B || i!=idc) bptr[idc]++;
2122       }
2123     }
2124   }
2125 done:
2126   ierr = PetscFree(aptr);CHKERRQ(ierr);
2127   ierr = PetscFree(bptr);CHKERRQ(ierr);
2128   PetscFunctionReturn(0);
2129 }
2130 
2131 #undef __FUNCT__
2132 #define __FUNCT__ "MatIsHermitianTranspose_SeqAIJ"
2133 PetscErrorCode  MatIsHermitianTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
2134 {
2135   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) A->data,*bij = (Mat_SeqAIJ*) A->data;
2136   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr;
2137   MatScalar      *va,*vb;
2138   PetscErrorCode ierr;
2139   PetscInt       ma,na,mb,nb, i;
2140 
2141   PetscFunctionBegin;
2142   bij = (Mat_SeqAIJ*) B->data;
2143 
2144   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
2145   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
2146   if (ma!=nb || na!=mb) {
2147     *f = PETSC_FALSE;
2148     PetscFunctionReturn(0);
2149   }
2150   aii  = aij->i; bii = bij->i;
2151   adx  = aij->j; bdx = bij->j;
2152   va   = aij->a; vb = bij->a;
2153   ierr = PetscMalloc1(ma,&aptr);CHKERRQ(ierr);
2154   ierr = PetscMalloc1(mb,&bptr);CHKERRQ(ierr);
2155   for (i=0; i<ma; i++) aptr[i] = aii[i];
2156   for (i=0; i<mb; i++) bptr[i] = bii[i];
2157 
2158   *f = PETSC_TRUE;
2159   for (i=0; i<ma; i++) {
2160     while (aptr[i]<aii[i+1]) {
2161       PetscInt    idc,idr;
2162       PetscScalar vc,vr;
2163       /* column/row index/value */
2164       idc = adx[aptr[i]];
2165       idr = bdx[bptr[idc]];
2166       vc  = va[aptr[i]];
2167       vr  = vb[bptr[idc]];
2168       if (i!=idr || PetscAbsScalar(vc-PetscConj(vr)) > tol) {
2169         *f = PETSC_FALSE;
2170         goto done;
2171       } else {
2172         aptr[i]++;
2173         if (B || i!=idc) bptr[idc]++;
2174       }
2175     }
2176   }
2177 done:
2178   ierr = PetscFree(aptr);CHKERRQ(ierr);
2179   ierr = PetscFree(bptr);CHKERRQ(ierr);
2180   PetscFunctionReturn(0);
2181 }
2182 
2183 #undef __FUNCT__
2184 #define __FUNCT__ "MatIsSymmetric_SeqAIJ"
2185 PetscErrorCode MatIsSymmetric_SeqAIJ(Mat A,PetscReal tol,PetscBool  *f)
2186 {
2187   PetscErrorCode ierr;
2188 
2189   PetscFunctionBegin;
2190   ierr = MatIsTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
2191   PetscFunctionReturn(0);
2192 }
2193 
2194 #undef __FUNCT__
2195 #define __FUNCT__ "MatIsHermitian_SeqAIJ"
2196 PetscErrorCode MatIsHermitian_SeqAIJ(Mat A,PetscReal tol,PetscBool  *f)
2197 {
2198   PetscErrorCode ierr;
2199 
2200   PetscFunctionBegin;
2201   ierr = MatIsHermitianTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
2202   PetscFunctionReturn(0);
2203 }
2204 
2205 #undef __FUNCT__
2206 #define __FUNCT__ "MatDiagonalScale_SeqAIJ"
2207 PetscErrorCode MatDiagonalScale_SeqAIJ(Mat A,Vec ll,Vec rr)
2208 {
2209   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2210   PetscScalar    *l,*r,x;
2211   MatScalar      *v;
2212   PetscErrorCode ierr;
2213   PetscInt       i,j,m = A->rmap->n,n = A->cmap->n,M,nz = a->nz,*jj;
2214 
2215   PetscFunctionBegin;
2216   if (ll) {
2217     /* The local size is used so that VecMPI can be passed to this routine
2218        by MatDiagonalScale_MPIAIJ */
2219     ierr = VecGetLocalSize(ll,&m);CHKERRQ(ierr);
2220     if (m != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Left scaling vector wrong length");
2221     ierr = VecGetArray(ll,&l);CHKERRQ(ierr);
2222     v    = a->a;
2223     for (i=0; i<m; i++) {
2224       x = l[i];
2225       M = a->i[i+1] - a->i[i];
2226       for (j=0; j<M; j++) (*v++) *= x;
2227     }
2228     ierr = VecRestoreArray(ll,&l);CHKERRQ(ierr);
2229     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
2230   }
2231   if (rr) {
2232     ierr = VecGetLocalSize(rr,&n);CHKERRQ(ierr);
2233     if (n != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Right scaling vector wrong length");
2234     ierr = VecGetArray(rr,&r);CHKERRQ(ierr);
2235     v    = a->a; jj = a->j;
2236     for (i=0; i<nz; i++) (*v++) *= r[*jj++];
2237     ierr = VecRestoreArray(rr,&r);CHKERRQ(ierr);
2238     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
2239   }
2240   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
2241   PetscFunctionReturn(0);
2242 }
2243 
2244 #undef __FUNCT__
2245 #define __FUNCT__ "MatGetSubMatrix_SeqAIJ"
2246 PetscErrorCode MatGetSubMatrix_SeqAIJ(Mat A,IS isrow,IS iscol,PetscInt csize,MatReuse scall,Mat *B)
2247 {
2248   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*c;
2249   PetscErrorCode ierr;
2250   PetscInt       *smap,i,k,kstart,kend,oldcols = A->cmap->n,*lens;
2251   PetscInt       row,mat_i,*mat_j,tcol,first,step,*mat_ilen,sum,lensi;
2252   const PetscInt *irow,*icol;
2253   PetscInt       nrows,ncols;
2254   PetscInt       *starts,*j_new,*i_new,*aj = a->j,*ai = a->i,ii,*ailen = a->ilen;
2255   MatScalar      *a_new,*mat_a;
2256   Mat            C;
2257   PetscBool      stride;
2258 
2259   PetscFunctionBegin;
2260 
2261   ierr = ISGetIndices(isrow,&irow);CHKERRQ(ierr);
2262   ierr = ISGetLocalSize(isrow,&nrows);CHKERRQ(ierr);
2263   ierr = ISGetLocalSize(iscol,&ncols);CHKERRQ(ierr);
2264 
2265   ierr = PetscObjectTypeCompare((PetscObject)iscol,ISSTRIDE,&stride);CHKERRQ(ierr);
2266   if (stride) {
2267     ierr = ISStrideGetInfo(iscol,&first,&step);CHKERRQ(ierr);
2268   } else {
2269     first = 0;
2270     step  = 0;
2271   }
2272   if (stride && step == 1) {
2273     /* special case of contiguous rows */
2274     ierr = PetscMalloc2(nrows,&lens,nrows,&starts);CHKERRQ(ierr);
2275     /* loop over new rows determining lens and starting points */
2276     for (i=0; i<nrows; i++) {
2277       kstart = ai[irow[i]];
2278       kend   = kstart + ailen[irow[i]];
2279       starts[i] = kstart;
2280       for (k=kstart; k<kend; k++) {
2281         if (aj[k] >= first) {
2282           starts[i] = k;
2283           break;
2284         }
2285       }
2286       sum = 0;
2287       while (k < kend) {
2288         if (aj[k++] >= first+ncols) break;
2289         sum++;
2290       }
2291       lens[i] = sum;
2292     }
2293     /* create submatrix */
2294     if (scall == MAT_REUSE_MATRIX) {
2295       PetscInt n_cols,n_rows;
2296       ierr = MatGetSize(*B,&n_rows,&n_cols);CHKERRQ(ierr);
2297       if (n_rows != nrows || n_cols != ncols) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Reused submatrix wrong size");
2298       ierr = MatZeroEntries(*B);CHKERRQ(ierr);
2299       C    = *B;
2300     } else {
2301       PetscInt rbs,cbs;
2302       ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2303       ierr = MatSetSizes(C,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2304       ierr = ISGetBlockSize(isrow,&rbs);CHKERRQ(ierr);
2305       ierr = ISGetBlockSize(iscol,&cbs);CHKERRQ(ierr);
2306       ierr = MatSetBlockSizes(C,rbs,cbs);CHKERRQ(ierr);
2307       ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2308       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
2309     }
2310     c = (Mat_SeqAIJ*)C->data;
2311 
2312     /* loop over rows inserting into submatrix */
2313     a_new = c->a;
2314     j_new = c->j;
2315     i_new = c->i;
2316 
2317     for (i=0; i<nrows; i++) {
2318       ii    = starts[i];
2319       lensi = lens[i];
2320       for (k=0; k<lensi; k++) {
2321         *j_new++ = aj[ii+k] - first;
2322       }
2323       ierr       = PetscMemcpy(a_new,a->a + starts[i],lensi*sizeof(PetscScalar));CHKERRQ(ierr);
2324       a_new     += lensi;
2325       i_new[i+1] = i_new[i] + lensi;
2326       c->ilen[i] = lensi;
2327     }
2328     ierr = PetscFree2(lens,starts);CHKERRQ(ierr);
2329   } else {
2330     ierr = ISGetIndices(iscol,&icol);CHKERRQ(ierr);
2331     ierr = PetscCalloc1(oldcols,&smap);CHKERRQ(ierr);
2332     ierr = PetscMalloc1(1+nrows,&lens);CHKERRQ(ierr);
2333     for (i=0; i<ncols; i++) {
2334 #if defined(PETSC_USE_DEBUG)
2335       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);
2336 #endif
2337       smap[icol[i]] = i+1;
2338     }
2339 
2340     /* determine lens of each row */
2341     for (i=0; i<nrows; i++) {
2342       kstart  = ai[irow[i]];
2343       kend    = kstart + a->ilen[irow[i]];
2344       lens[i] = 0;
2345       for (k=kstart; k<kend; k++) {
2346         if (smap[aj[k]]) {
2347           lens[i]++;
2348         }
2349       }
2350     }
2351     /* Create and fill new matrix */
2352     if (scall == MAT_REUSE_MATRIX) {
2353       PetscBool equal;
2354 
2355       c = (Mat_SeqAIJ*)((*B)->data);
2356       if ((*B)->rmap->n  != nrows || (*B)->cmap->n != ncols) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong size");
2357       ierr = PetscMemcmp(c->ilen,lens,(*B)->rmap->n*sizeof(PetscInt),&equal);CHKERRQ(ierr);
2358       if (!equal) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong no of nonzeros");
2359       ierr = PetscMemzero(c->ilen,(*B)->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
2360       C    = *B;
2361     } else {
2362       PetscInt rbs,cbs;
2363       ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2364       ierr = MatSetSizes(C,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2365       ierr = ISGetBlockSize(isrow,&rbs);CHKERRQ(ierr);
2366       ierr = ISGetBlockSize(iscol,&cbs);CHKERRQ(ierr);
2367       ierr = MatSetBlockSizes(C,rbs,cbs);CHKERRQ(ierr);
2368       ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2369       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
2370     }
2371     c = (Mat_SeqAIJ*)(C->data);
2372     for (i=0; i<nrows; i++) {
2373       row      = irow[i];
2374       kstart   = ai[row];
2375       kend     = kstart + a->ilen[row];
2376       mat_i    = c->i[i];
2377       mat_j    = c->j + mat_i;
2378       mat_a    = c->a + mat_i;
2379       mat_ilen = c->ilen + i;
2380       for (k=kstart; k<kend; k++) {
2381         if ((tcol=smap[a->j[k]])) {
2382           *mat_j++ = tcol - 1;
2383           *mat_a++ = a->a[k];
2384           (*mat_ilen)++;
2385 
2386         }
2387       }
2388     }
2389     /* Free work space */
2390     ierr = ISRestoreIndices(iscol,&icol);CHKERRQ(ierr);
2391     ierr = PetscFree(smap);CHKERRQ(ierr);
2392     ierr = PetscFree(lens);CHKERRQ(ierr);
2393     /* sort */
2394     for (i = 0; i < nrows; i++) {
2395       PetscInt ilen;
2396 
2397       mat_i = c->i[i];
2398       mat_j = c->j + mat_i;
2399       mat_a = c->a + mat_i;
2400       ilen  = c->ilen[i];
2401       ierr  = PetscSortIntWithMatScalarArray(ilen,mat_j,mat_a);CHKERRQ(ierr);
2402     }
2403   }
2404   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2405   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2406 
2407   ierr = ISRestoreIndices(isrow,&irow);CHKERRQ(ierr);
2408   *B   = C;
2409   PetscFunctionReturn(0);
2410 }
2411 
2412 #undef __FUNCT__
2413 #define __FUNCT__ "MatGetMultiProcBlock_SeqAIJ"
2414 PetscErrorCode  MatGetMultiProcBlock_SeqAIJ(Mat mat,MPI_Comm subComm,MatReuse scall,Mat *subMat)
2415 {
2416   PetscErrorCode ierr;
2417   Mat            B;
2418 
2419   PetscFunctionBegin;
2420   if (scall == MAT_INITIAL_MATRIX) {
2421     ierr    = MatCreate(subComm,&B);CHKERRQ(ierr);
2422     ierr    = MatSetSizes(B,mat->rmap->n,mat->cmap->n,mat->rmap->n,mat->cmap->n);CHKERRQ(ierr);
2423     ierr    = MatSetBlockSizesFromMats(B,mat,mat);CHKERRQ(ierr);
2424     ierr    = MatSetType(B,MATSEQAIJ);CHKERRQ(ierr);
2425     ierr    = MatDuplicateNoCreate_SeqAIJ(B,mat,MAT_COPY_VALUES,PETSC_TRUE);CHKERRQ(ierr);
2426     *subMat = B;
2427   } else {
2428     ierr = MatCopy_SeqAIJ(mat,*subMat,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
2429   }
2430   PetscFunctionReturn(0);
2431 }
2432 
2433 #undef __FUNCT__
2434 #define __FUNCT__ "MatILUFactor_SeqAIJ"
2435 PetscErrorCode MatILUFactor_SeqAIJ(Mat inA,IS row,IS col,const MatFactorInfo *info)
2436 {
2437   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)inA->data;
2438   PetscErrorCode ierr;
2439   Mat            outA;
2440   PetscBool      row_identity,col_identity;
2441 
2442   PetscFunctionBegin;
2443   if (info->levels != 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only levels=0 supported for in-place ilu");
2444 
2445   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
2446   ierr = ISIdentity(col,&col_identity);CHKERRQ(ierr);
2447 
2448   outA             = inA;
2449   outA->factortype = MAT_FACTOR_LU;
2450 
2451   ierr = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
2452   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
2453 
2454   a->row = row;
2455 
2456   ierr = PetscObjectReference((PetscObject)col);CHKERRQ(ierr);
2457   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
2458 
2459   a->col = col;
2460 
2461   /* Create the inverse permutation so that it can be used in MatLUFactorNumeric() */
2462   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
2463   ierr = ISInvertPermutation(col,PETSC_DECIDE,&a->icol);CHKERRQ(ierr);
2464   ierr = PetscLogObjectParent((PetscObject)inA,(PetscObject)a->icol);CHKERRQ(ierr);
2465 
2466   if (!a->solve_work) { /* this matrix may have been factored before */
2467     ierr = PetscMalloc1(inA->rmap->n+1,&a->solve_work);CHKERRQ(ierr);
2468     ierr = PetscLogObjectMemory((PetscObject)inA, (inA->rmap->n+1)*sizeof(PetscScalar));CHKERRQ(ierr);
2469   }
2470 
2471   ierr = MatMarkDiagonal_SeqAIJ(inA);CHKERRQ(ierr);
2472   if (row_identity && col_identity) {
2473     ierr = MatLUFactorNumeric_SeqAIJ_inplace(outA,inA,info);CHKERRQ(ierr);
2474   } else {
2475     ierr = MatLUFactorNumeric_SeqAIJ_InplaceWithPerm(outA,inA,info);CHKERRQ(ierr);
2476   }
2477   PetscFunctionReturn(0);
2478 }
2479 
2480 #undef __FUNCT__
2481 #define __FUNCT__ "MatScale_SeqAIJ"
2482 PetscErrorCode MatScale_SeqAIJ(Mat inA,PetscScalar alpha)
2483 {
2484   Mat_SeqAIJ     *a     = (Mat_SeqAIJ*)inA->data;
2485   PetscScalar    oalpha = alpha;
2486   PetscErrorCode ierr;
2487   PetscBLASInt   one = 1,bnz;
2488 
2489   PetscFunctionBegin;
2490   ierr = PetscBLASIntCast(a->nz,&bnz);CHKERRQ(ierr);
2491   PetscStackCallBLAS("BLASscal",BLASscal_(&bnz,&oalpha,a->a,&one));
2492   ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
2493   ierr = MatSeqAIJInvalidateDiagonal(inA);CHKERRQ(ierr);
2494   PetscFunctionReturn(0);
2495 }
2496 
2497 #undef __FUNCT__
2498 #define __FUNCT__ "MatGetSubMatrices_SeqAIJ"
2499 PetscErrorCode MatGetSubMatrices_SeqAIJ(Mat A,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
2500 {
2501   PetscErrorCode ierr;
2502   PetscInt       i;
2503 
2504   PetscFunctionBegin;
2505   if (scall == MAT_INITIAL_MATRIX) {
2506     ierr = PetscMalloc1(n+1,B);CHKERRQ(ierr);
2507   }
2508 
2509   for (i=0; i<n; i++) {
2510     ierr = MatGetSubMatrix_SeqAIJ(A,irow[i],icol[i],PETSC_DECIDE,scall,&(*B)[i]);CHKERRQ(ierr);
2511   }
2512   PetscFunctionReturn(0);
2513 }
2514 
2515 #undef __FUNCT__
2516 #define __FUNCT__ "MatIncreaseOverlap_SeqAIJ"
2517 PetscErrorCode MatIncreaseOverlap_SeqAIJ(Mat A,PetscInt is_max,IS is[],PetscInt ov)
2518 {
2519   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2520   PetscErrorCode ierr;
2521   PetscInt       row,i,j,k,l,m,n,*nidx,isz,val;
2522   const PetscInt *idx;
2523   PetscInt       start,end,*ai,*aj;
2524   PetscBT        table;
2525 
2526   PetscFunctionBegin;
2527   m  = A->rmap->n;
2528   ai = a->i;
2529   aj = a->j;
2530 
2531   if (ov < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"illegal negative overlap value used");
2532 
2533   ierr = PetscMalloc1(m+1,&nidx);CHKERRQ(ierr);
2534   ierr = PetscBTCreate(m,&table);CHKERRQ(ierr);
2535 
2536   for (i=0; i<is_max; i++) {
2537     /* Initialize the two local arrays */
2538     isz  = 0;
2539     ierr = PetscBTMemzero(m,table);CHKERRQ(ierr);
2540 
2541     /* Extract the indices, assume there can be duplicate entries */
2542     ierr = ISGetIndices(is[i],&idx);CHKERRQ(ierr);
2543     ierr = ISGetLocalSize(is[i],&n);CHKERRQ(ierr);
2544 
2545     /* Enter these into the temp arrays. I.e., mark table[row], enter row into new index */
2546     for (j=0; j<n; ++j) {
2547       if (!PetscBTLookupSet(table,idx[j])) nidx[isz++] = idx[j];
2548     }
2549     ierr = ISRestoreIndices(is[i],&idx);CHKERRQ(ierr);
2550     ierr = ISDestroy(&is[i]);CHKERRQ(ierr);
2551 
2552     k = 0;
2553     for (j=0; j<ov; j++) { /* for each overlap */
2554       n = isz;
2555       for (; k<n; k++) { /* do only those rows in nidx[k], which are not done yet */
2556         row   = nidx[k];
2557         start = ai[row];
2558         end   = ai[row+1];
2559         for (l = start; l<end; l++) {
2560           val = aj[l];
2561           if (!PetscBTLookupSet(table,val)) nidx[isz++] = val;
2562         }
2563       }
2564     }
2565     ierr = ISCreateGeneral(PETSC_COMM_SELF,isz,nidx,PETSC_COPY_VALUES,(is+i));CHKERRQ(ierr);
2566   }
2567   ierr = PetscBTDestroy(&table);CHKERRQ(ierr);
2568   ierr = PetscFree(nidx);CHKERRQ(ierr);
2569   PetscFunctionReturn(0);
2570 }
2571 
2572 /* -------------------------------------------------------------- */
2573 #undef __FUNCT__
2574 #define __FUNCT__ "MatPermute_SeqAIJ"
2575 PetscErrorCode MatPermute_SeqAIJ(Mat A,IS rowp,IS colp,Mat *B)
2576 {
2577   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2578   PetscErrorCode ierr;
2579   PetscInt       i,nz = 0,m = A->rmap->n,n = A->cmap->n;
2580   const PetscInt *row,*col;
2581   PetscInt       *cnew,j,*lens;
2582   IS             icolp,irowp;
2583   PetscInt       *cwork = NULL;
2584   PetscScalar    *vwork = NULL;
2585 
2586   PetscFunctionBegin;
2587   ierr = ISInvertPermutation(rowp,PETSC_DECIDE,&irowp);CHKERRQ(ierr);
2588   ierr = ISGetIndices(irowp,&row);CHKERRQ(ierr);
2589   ierr = ISInvertPermutation(colp,PETSC_DECIDE,&icolp);CHKERRQ(ierr);
2590   ierr = ISGetIndices(icolp,&col);CHKERRQ(ierr);
2591 
2592   /* determine lengths of permuted rows */
2593   ierr = PetscMalloc1(m+1,&lens);CHKERRQ(ierr);
2594   for (i=0; i<m; i++) lens[row[i]] = a->i[i+1] - a->i[i];
2595   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
2596   ierr = MatSetSizes(*B,m,n,m,n);CHKERRQ(ierr);
2597   ierr = MatSetBlockSizesFromMats(*B,A,A);CHKERRQ(ierr);
2598   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2599   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*B,0,lens);CHKERRQ(ierr);
2600   ierr = PetscFree(lens);CHKERRQ(ierr);
2601 
2602   ierr = PetscMalloc1(n,&cnew);CHKERRQ(ierr);
2603   for (i=0; i<m; i++) {
2604     ierr = MatGetRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2605     for (j=0; j<nz; j++) cnew[j] = col[cwork[j]];
2606     ierr = MatSetValues_SeqAIJ(*B,1,&row[i],nz,cnew,vwork,INSERT_VALUES);CHKERRQ(ierr);
2607     ierr = MatRestoreRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2608   }
2609   ierr = PetscFree(cnew);CHKERRQ(ierr);
2610 
2611   (*B)->assembled = PETSC_FALSE;
2612 
2613   ierr = MatAssemblyBegin(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2614   ierr = MatAssemblyEnd(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2615   ierr = ISRestoreIndices(irowp,&row);CHKERRQ(ierr);
2616   ierr = ISRestoreIndices(icolp,&col);CHKERRQ(ierr);
2617   ierr = ISDestroy(&irowp);CHKERRQ(ierr);
2618   ierr = ISDestroy(&icolp);CHKERRQ(ierr);
2619   PetscFunctionReturn(0);
2620 }
2621 
2622 #undef __FUNCT__
2623 #define __FUNCT__ "MatCopy_SeqAIJ"
2624 PetscErrorCode MatCopy_SeqAIJ(Mat A,Mat B,MatStructure str)
2625 {
2626   PetscErrorCode ierr;
2627 
2628   PetscFunctionBegin;
2629   /* If the two matrices have the same copy implementation, use fast copy. */
2630   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
2631     Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2632     Mat_SeqAIJ *b = (Mat_SeqAIJ*)B->data;
2633 
2634     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");
2635     ierr = PetscMemcpy(b->a,a->a,(a->i[A->rmap->n])*sizeof(PetscScalar));CHKERRQ(ierr);
2636   } else {
2637     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
2638   }
2639   PetscFunctionReturn(0);
2640 }
2641 
2642 #undef __FUNCT__
2643 #define __FUNCT__ "MatSetUp_SeqAIJ"
2644 PetscErrorCode MatSetUp_SeqAIJ(Mat A)
2645 {
2646   PetscErrorCode ierr;
2647 
2648   PetscFunctionBegin;
2649   ierr =  MatSeqAIJSetPreallocation_SeqAIJ(A,PETSC_DEFAULT,0);CHKERRQ(ierr);
2650   PetscFunctionReturn(0);
2651 }
2652 
2653 #undef __FUNCT__
2654 #define __FUNCT__ "MatSeqAIJGetArray_SeqAIJ"
2655 PetscErrorCode MatSeqAIJGetArray_SeqAIJ(Mat A,PetscScalar *array[])
2656 {
2657   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2658 
2659   PetscFunctionBegin;
2660   *array = a->a;
2661   PetscFunctionReturn(0);
2662 }
2663 
2664 #undef __FUNCT__
2665 #define __FUNCT__ "MatSeqAIJRestoreArray_SeqAIJ"
2666 PetscErrorCode MatSeqAIJRestoreArray_SeqAIJ(Mat A,PetscScalar *array[])
2667 {
2668   PetscFunctionBegin;
2669   PetscFunctionReturn(0);
2670 }
2671 
2672 /*
2673    Computes the number of nonzeros per row needed for preallocation when X and Y
2674    have different nonzero structure.
2675 */
2676 #undef __FUNCT__
2677 #define __FUNCT__ "MatAXPYGetPreallocation_SeqX_private"
2678 PetscErrorCode MatAXPYGetPreallocation_SeqX_private(PetscInt m,const PetscInt *xi,const PetscInt *xj,const PetscInt *yi,const PetscInt *yj,PetscInt *nnz)
2679 {
2680   PetscInt       i,j,k,nzx,nzy;
2681 
2682   PetscFunctionBegin;
2683   /* Set the number of nonzeros in the new matrix */
2684   for (i=0; i<m; i++) {
2685     const PetscInt *xjj = xj+xi[i],*yjj = yj+yi[i];
2686     nzx = xi[i+1] - xi[i];
2687     nzy = yi[i+1] - yi[i];
2688     nnz[i] = 0;
2689     for (j=0,k=0; j<nzx; j++) {                   /* Point in X */
2690       for (; k<nzy && yjj[k]<xjj[j]; k++) nnz[i]++; /* Catch up to X */
2691       if (k<nzy && yjj[k]==xjj[j]) k++;             /* Skip duplicate */
2692       nnz[i]++;
2693     }
2694     for (; k<nzy; k++) nnz[i]++;
2695   }
2696   PetscFunctionReturn(0);
2697 }
2698 
2699 #undef __FUNCT__
2700 #define __FUNCT__ "MatAXPYGetPreallocation_SeqAIJ"
2701 PetscErrorCode MatAXPYGetPreallocation_SeqAIJ(Mat Y,Mat X,PetscInt *nnz)
2702 {
2703   PetscInt       m = Y->rmap->N;
2704   Mat_SeqAIJ     *x = (Mat_SeqAIJ*)X->data;
2705   Mat_SeqAIJ     *y = (Mat_SeqAIJ*)Y->data;
2706   PetscErrorCode ierr;
2707 
2708   PetscFunctionBegin;
2709   /* Set the number of nonzeros in the new matrix */
2710   ierr = MatAXPYGetPreallocation_SeqX_private(m,x->i,x->j,y->i,y->j,nnz);CHKERRQ(ierr);
2711   PetscFunctionReturn(0);
2712 }
2713 
2714 #undef __FUNCT__
2715 #define __FUNCT__ "MatAXPY_SeqAIJ"
2716 PetscErrorCode MatAXPY_SeqAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
2717 {
2718   PetscErrorCode ierr;
2719   Mat_SeqAIJ     *x = (Mat_SeqAIJ*)X->data,*y = (Mat_SeqAIJ*)Y->data;
2720   PetscBLASInt   one=1,bnz;
2721 
2722   PetscFunctionBegin;
2723   ierr = PetscBLASIntCast(x->nz,&bnz);CHKERRQ(ierr);
2724   if (str == SAME_NONZERO_PATTERN) {
2725     PetscScalar alpha = a;
2726     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
2727     ierr = MatSeqAIJInvalidateDiagonal(Y);CHKERRQ(ierr);
2728     ierr = PetscObjectStateIncrease((PetscObject)Y);CHKERRQ(ierr);
2729   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
2730     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
2731   } else {
2732     Mat      B;
2733     PetscInt *nnz;
2734     ierr = PetscMalloc1(Y->rmap->N,&nnz);CHKERRQ(ierr);
2735     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
2736     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
2737     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
2738     ierr = MatSetBlockSizesFromMats(B,Y,Y);CHKERRQ(ierr);
2739     ierr = MatSetType(B,(MatType) ((PetscObject)Y)->type_name);CHKERRQ(ierr);
2740     ierr = MatAXPYGetPreallocation_SeqAIJ(Y,X,nnz);CHKERRQ(ierr);
2741     ierr = MatSeqAIJSetPreallocation(B,0,nnz);CHKERRQ(ierr);
2742     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
2743     ierr = MatHeaderReplace(Y,&B);CHKERRQ(ierr);
2744     ierr = PetscFree(nnz);CHKERRQ(ierr);
2745   }
2746   PetscFunctionReturn(0);
2747 }
2748 
2749 #undef __FUNCT__
2750 #define __FUNCT__ "MatConjugate_SeqAIJ"
2751 PetscErrorCode  MatConjugate_SeqAIJ(Mat mat)
2752 {
2753 #if defined(PETSC_USE_COMPLEX)
2754   Mat_SeqAIJ  *aij = (Mat_SeqAIJ*)mat->data;
2755   PetscInt    i,nz;
2756   PetscScalar *a;
2757 
2758   PetscFunctionBegin;
2759   nz = aij->nz;
2760   a  = aij->a;
2761   for (i=0; i<nz; i++) a[i] = PetscConj(a[i]);
2762 #else
2763   PetscFunctionBegin;
2764 #endif
2765   PetscFunctionReturn(0);
2766 }
2767 
2768 #undef __FUNCT__
2769 #define __FUNCT__ "MatGetRowMaxAbs_SeqAIJ"
2770 PetscErrorCode MatGetRowMaxAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2771 {
2772   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2773   PetscErrorCode ierr;
2774   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2775   PetscReal      atmp;
2776   PetscScalar    *x;
2777   MatScalar      *aa;
2778 
2779   PetscFunctionBegin;
2780   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2781   aa = a->a;
2782   ai = a->i;
2783   aj = a->j;
2784 
2785   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2786   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2787   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2788   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2789   for (i=0; i<m; i++) {
2790     ncols = ai[1] - ai[0]; ai++;
2791     x[i]  = 0.0;
2792     for (j=0; j<ncols; j++) {
2793       atmp = PetscAbsScalar(*aa);
2794       if (PetscAbsScalar(x[i]) < atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
2795       aa++; aj++;
2796     }
2797   }
2798   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2799   PetscFunctionReturn(0);
2800 }
2801 
2802 #undef __FUNCT__
2803 #define __FUNCT__ "MatGetRowMax_SeqAIJ"
2804 PetscErrorCode MatGetRowMax_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2805 {
2806   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2807   PetscErrorCode ierr;
2808   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2809   PetscScalar    *x;
2810   MatScalar      *aa;
2811 
2812   PetscFunctionBegin;
2813   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2814   aa = a->a;
2815   ai = a->i;
2816   aj = a->j;
2817 
2818   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2819   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2820   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2821   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2822   for (i=0; i<m; i++) {
2823     ncols = ai[1] - ai[0]; ai++;
2824     if (ncols == A->cmap->n) { /* row is dense */
2825       x[i] = *aa; if (idx) idx[i] = 0;
2826     } else {  /* row is sparse so already KNOW maximum is 0.0 or higher */
2827       x[i] = 0.0;
2828       if (idx) {
2829         idx[i] = 0; /* in case ncols is zero */
2830         for (j=0;j<ncols;j++) { /* find first implicit 0.0 in the row */
2831           if (aj[j] > j) {
2832             idx[i] = j;
2833             break;
2834           }
2835         }
2836       }
2837     }
2838     for (j=0; j<ncols; j++) {
2839       if (PetscRealPart(x[i]) < PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
2840       aa++; aj++;
2841     }
2842   }
2843   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2844   PetscFunctionReturn(0);
2845 }
2846 
2847 #undef __FUNCT__
2848 #define __FUNCT__ "MatGetRowMinAbs_SeqAIJ"
2849 PetscErrorCode MatGetRowMinAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2850 {
2851   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2852   PetscErrorCode ierr;
2853   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2854   PetscReal      atmp;
2855   PetscScalar    *x;
2856   MatScalar      *aa;
2857 
2858   PetscFunctionBegin;
2859   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2860   aa = a->a;
2861   ai = a->i;
2862   aj = a->j;
2863 
2864   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2865   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2866   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2867   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);
2868   for (i=0; i<m; i++) {
2869     ncols = ai[1] - ai[0]; ai++;
2870     if (ncols) {
2871       /* Get first nonzero */
2872       for (j = 0; j < ncols; j++) {
2873         atmp = PetscAbsScalar(aa[j]);
2874         if (atmp > 1.0e-12) {
2875           x[i] = atmp;
2876           if (idx) idx[i] = aj[j];
2877           break;
2878         }
2879       }
2880       if (j == ncols) {x[i] = PetscAbsScalar(*aa); if (idx) idx[i] = *aj;}
2881     } else {
2882       x[i] = 0.0; if (idx) idx[i] = 0;
2883     }
2884     for (j = 0; j < ncols; j++) {
2885       atmp = PetscAbsScalar(*aa);
2886       if (atmp > 1.0e-12 && PetscAbsScalar(x[i]) > atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
2887       aa++; aj++;
2888     }
2889   }
2890   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2891   PetscFunctionReturn(0);
2892 }
2893 
2894 #undef __FUNCT__
2895 #define __FUNCT__ "MatGetRowMin_SeqAIJ"
2896 PetscErrorCode MatGetRowMin_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2897 {
2898   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
2899   PetscErrorCode  ierr;
2900   PetscInt        i,j,m = A->rmap->n,ncols,n;
2901   const PetscInt  *ai,*aj;
2902   PetscScalar     *x;
2903   const MatScalar *aa;
2904 
2905   PetscFunctionBegin;
2906   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2907   aa = a->a;
2908   ai = a->i;
2909   aj = a->j;
2910 
2911   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2912   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2913   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2914   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2915   for (i=0; i<m; i++) {
2916     ncols = ai[1] - ai[0]; ai++;
2917     if (ncols == A->cmap->n) { /* row is dense */
2918       x[i] = *aa; if (idx) idx[i] = 0;
2919     } else {  /* row is sparse so already KNOW minimum is 0.0 or lower */
2920       x[i] = 0.0;
2921       if (idx) {   /* find first implicit 0.0 in the row */
2922         idx[i] = 0; /* in case ncols is zero */
2923         for (j=0; j<ncols; j++) {
2924           if (aj[j] > j) {
2925             idx[i] = j;
2926             break;
2927           }
2928         }
2929       }
2930     }
2931     for (j=0; j<ncols; j++) {
2932       if (PetscRealPart(x[i]) > PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
2933       aa++; aj++;
2934     }
2935   }
2936   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2937   PetscFunctionReturn(0);
2938 }
2939 
2940 #include <petscblaslapack.h>
2941 #include <petsc/private/kernels/blockinvert.h>
2942 
2943 #undef __FUNCT__
2944 #define __FUNCT__ "MatInvertBlockDiagonal_SeqAIJ"
2945 PetscErrorCode  MatInvertBlockDiagonal_SeqAIJ(Mat A,const PetscScalar **values)
2946 {
2947   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
2948   PetscErrorCode ierr;
2949   PetscInt       i,bs = PetscAbs(A->rmap->bs),mbs = A->rmap->n/bs,ipvt[5],bs2 = bs*bs,*v_pivots,ij[7],*IJ,j;
2950   MatScalar      *diag,work[25],*v_work;
2951   PetscReal      shift = 0.0;
2952 
2953   PetscFunctionBegin;
2954   if (a->ibdiagvalid) {
2955     if (values) *values = a->ibdiag;
2956     PetscFunctionReturn(0);
2957   }
2958   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
2959   if (!a->ibdiag) {
2960     ierr = PetscMalloc1(bs2*mbs,&a->ibdiag);CHKERRQ(ierr);
2961     ierr = PetscLogObjectMemory((PetscObject)A,bs2*mbs*sizeof(PetscScalar));CHKERRQ(ierr);
2962   }
2963   diag = a->ibdiag;
2964   if (values) *values = a->ibdiag;
2965   /* factor and invert each block */
2966   switch (bs) {
2967   case 1:
2968     for (i=0; i<mbs; i++) {
2969       ierr    = MatGetValues(A,1,&i,1,&i,diag+i);CHKERRQ(ierr);
2970       diag[i] = (PetscScalar)1.0 / (diag[i] + shift);
2971     }
2972     break;
2973   case 2:
2974     for (i=0; i<mbs; i++) {
2975       ij[0] = 2*i; ij[1] = 2*i + 1;
2976       ierr  = MatGetValues(A,2,ij,2,ij,diag);CHKERRQ(ierr);
2977       ierr  = PetscKernel_A_gets_inverse_A_2(diag,shift);CHKERRQ(ierr);
2978       ierr  = PetscKernel_A_gets_transpose_A_2(diag);CHKERRQ(ierr);
2979       diag += 4;
2980     }
2981     break;
2982   case 3:
2983     for (i=0; i<mbs; i++) {
2984       ij[0] = 3*i; ij[1] = 3*i + 1; ij[2] = 3*i + 2;
2985       ierr  = MatGetValues(A,3,ij,3,ij,diag);CHKERRQ(ierr);
2986       PetscBool wouldcrash;
2987       ierr  = PetscKernel_A_gets_inverse_A_3(diag,shift,A->erroriffailure,&wouldcrash);CHKERRQ(ierr);
2988       ierr  = PetscKernel_A_gets_transpose_A_3(diag);CHKERRQ(ierr);
2989       diag += 9;
2990     }
2991     break;
2992   case 4:
2993     for (i=0; i<mbs; i++) {
2994       ij[0] = 4*i; ij[1] = 4*i + 1; ij[2] = 4*i + 2; ij[3] = 4*i + 3;
2995       ierr  = MatGetValues(A,4,ij,4,ij,diag);CHKERRQ(ierr);
2996       ierr  = PetscKernel_A_gets_inverse_A_4(diag,shift);CHKERRQ(ierr);
2997       ierr  = PetscKernel_A_gets_transpose_A_4(diag);CHKERRQ(ierr);
2998       diag += 16;
2999     }
3000     break;
3001   case 5:
3002     for (i=0; i<mbs; i++) {
3003       ij[0] = 5*i; ij[1] = 5*i + 1; ij[2] = 5*i + 2; ij[3] = 5*i + 3; ij[4] = 5*i + 4;
3004       ierr  = MatGetValues(A,5,ij,5,ij,diag);CHKERRQ(ierr);
3005       ierr  = PetscKernel_A_gets_inverse_A_5(diag,ipvt,work,shift);CHKERRQ(ierr);
3006       ierr  = PetscKernel_A_gets_transpose_A_5(diag);CHKERRQ(ierr);
3007       diag += 25;
3008     }
3009     break;
3010   case 6:
3011     for (i=0; i<mbs; i++) {
3012       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;
3013       ierr  = MatGetValues(A,6,ij,6,ij,diag);CHKERRQ(ierr);
3014       ierr  = PetscKernel_A_gets_inverse_A_6(diag,shift);CHKERRQ(ierr);
3015       ierr  = PetscKernel_A_gets_transpose_A_6(diag);CHKERRQ(ierr);
3016       diag += 36;
3017     }
3018     break;
3019   case 7:
3020     for (i=0; i<mbs; i++) {
3021       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;
3022       ierr  = MatGetValues(A,7,ij,7,ij,diag);CHKERRQ(ierr);
3023       ierr  = PetscKernel_A_gets_inverse_A_7(diag,shift);CHKERRQ(ierr);
3024       ierr  = PetscKernel_A_gets_transpose_A_7(diag);CHKERRQ(ierr);
3025       diag += 49;
3026     }
3027     break;
3028   default:
3029     ierr = PetscMalloc3(bs,&v_work,bs,&v_pivots,bs,&IJ);CHKERRQ(ierr);
3030     for (i=0; i<mbs; i++) {
3031       for (j=0; j<bs; j++) {
3032         IJ[j] = bs*i + j;
3033       }
3034       ierr  = MatGetValues(A,bs,IJ,bs,IJ,diag);CHKERRQ(ierr);
3035       ierr  = PetscKernel_A_gets_inverse_A(bs,diag,v_pivots,v_work);CHKERRQ(ierr);
3036       ierr  = PetscKernel_A_gets_transpose_A_N(diag,bs);CHKERRQ(ierr);
3037       diag += bs2;
3038     }
3039     ierr = PetscFree3(v_work,v_pivots,IJ);CHKERRQ(ierr);
3040   }
3041   a->ibdiagvalid = PETSC_TRUE;
3042   PetscFunctionReturn(0);
3043 }
3044 
3045 #undef __FUNCT__
3046 #define __FUNCT__ "MatSetRandom_SeqAIJ"
3047 static PetscErrorCode  MatSetRandom_SeqAIJ(Mat x,PetscRandom rctx)
3048 {
3049   PetscErrorCode ierr;
3050   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)x->data;
3051   PetscScalar    a;
3052   PetscInt       m,n,i,j,col;
3053 
3054   PetscFunctionBegin;
3055   if (!x->assembled) {
3056     ierr = MatGetSize(x,&m,&n);CHKERRQ(ierr);
3057     for (i=0; i<m; i++) {
3058       for (j=0; j<aij->imax[i]; j++) {
3059         ierr = PetscRandomGetValue(rctx,&a);CHKERRQ(ierr);
3060         col  = (PetscInt)(n*PetscRealPart(a));
3061         ierr = MatSetValues(x,1,&i,1,&col,&a,ADD_VALUES);CHKERRQ(ierr);
3062       }
3063     }
3064   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet coded");
3065   ierr = MatAssemblyBegin(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3066   ierr = MatAssemblyEnd(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3067   PetscFunctionReturn(0);
3068 }
3069 
3070 #undef __FUNCT__
3071 #define __FUNCT__ "MatShift_SeqAIJ"
3072 PetscErrorCode MatShift_SeqAIJ(Mat Y,PetscScalar a)
3073 {
3074   PetscErrorCode ierr;
3075   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)Y->data;
3076 
3077   PetscFunctionBegin;
3078   if (!Y->preallocated || !aij->nz) {
3079     ierr = MatSeqAIJSetPreallocation(Y,1,NULL);CHKERRQ(ierr);
3080   }
3081   ierr = MatShift_Basic(Y,a);CHKERRQ(ierr);
3082   PetscFunctionReturn(0);
3083 }
3084 
3085 /* -------------------------------------------------------------------*/
3086 static struct _MatOps MatOps_Values = { MatSetValues_SeqAIJ,
3087                                         MatGetRow_SeqAIJ,
3088                                         MatRestoreRow_SeqAIJ,
3089                                         MatMult_SeqAIJ,
3090                                 /*  4*/ MatMultAdd_SeqAIJ,
3091                                         MatMultTranspose_SeqAIJ,
3092                                         MatMultTransposeAdd_SeqAIJ,
3093                                         0,
3094                                         0,
3095                                         0,
3096                                 /* 10*/ 0,
3097                                         MatLUFactor_SeqAIJ,
3098                                         0,
3099                                         MatSOR_SeqAIJ,
3100                                         MatTranspose_SeqAIJ,
3101                                 /*1 5*/ MatGetInfo_SeqAIJ,
3102                                         MatEqual_SeqAIJ,
3103                                         MatGetDiagonal_SeqAIJ,
3104                                         MatDiagonalScale_SeqAIJ,
3105                                         MatNorm_SeqAIJ,
3106                                 /* 20*/ 0,
3107                                         MatAssemblyEnd_SeqAIJ,
3108                                         MatSetOption_SeqAIJ,
3109                                         MatZeroEntries_SeqAIJ,
3110                                 /* 24*/ MatZeroRows_SeqAIJ,
3111                                         0,
3112                                         0,
3113                                         0,
3114                                         0,
3115                                 /* 29*/ MatSetUp_SeqAIJ,
3116                                         0,
3117                                         0,
3118                                         0,
3119                                         0,
3120                                 /* 34*/ MatDuplicate_SeqAIJ,
3121                                         0,
3122                                         0,
3123                                         MatILUFactor_SeqAIJ,
3124                                         0,
3125                                 /* 39*/ MatAXPY_SeqAIJ,
3126                                         MatGetSubMatrices_SeqAIJ,
3127                                         MatIncreaseOverlap_SeqAIJ,
3128                                         MatGetValues_SeqAIJ,
3129                                         MatCopy_SeqAIJ,
3130                                 /* 44*/ MatGetRowMax_SeqAIJ,
3131                                         MatScale_SeqAIJ,
3132                                         MatShift_SeqAIJ,
3133                                         MatDiagonalSet_SeqAIJ,
3134                                         MatZeroRowsColumns_SeqAIJ,
3135                                 /* 49*/ MatSetRandom_SeqAIJ,
3136                                         MatGetRowIJ_SeqAIJ,
3137                                         MatRestoreRowIJ_SeqAIJ,
3138                                         MatGetColumnIJ_SeqAIJ,
3139                                         MatRestoreColumnIJ_SeqAIJ,
3140                                 /* 54*/ MatFDColoringCreate_SeqXAIJ,
3141                                         0,
3142                                         0,
3143                                         MatPermute_SeqAIJ,
3144                                         0,
3145                                 /* 59*/ 0,
3146                                         MatDestroy_SeqAIJ,
3147                                         MatView_SeqAIJ,
3148                                         0,
3149                                         MatMatMatMult_SeqAIJ_SeqAIJ_SeqAIJ,
3150                                 /* 64*/ MatMatMatMultSymbolic_SeqAIJ_SeqAIJ_SeqAIJ,
3151                                         MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqAIJ,
3152                                         0,
3153                                         0,
3154                                         0,
3155                                 /* 69*/ MatGetRowMaxAbs_SeqAIJ,
3156                                         MatGetRowMinAbs_SeqAIJ,
3157                                         0,
3158                                         MatSetColoring_SeqAIJ,
3159                                         0,
3160                                 /* 74*/ MatSetValuesAdifor_SeqAIJ,
3161                                         MatFDColoringApply_AIJ,
3162                                         0,
3163                                         0,
3164                                         0,
3165                                 /* 79*/ MatFindZeroDiagonals_SeqAIJ,
3166                                         0,
3167                                         0,
3168                                         0,
3169                                         MatLoad_SeqAIJ,
3170                                 /* 84*/ MatIsSymmetric_SeqAIJ,
3171                                         MatIsHermitian_SeqAIJ,
3172                                         0,
3173                                         0,
3174                                         0,
3175                                 /* 89*/ MatMatMult_SeqAIJ_SeqAIJ,
3176                                         MatMatMultSymbolic_SeqAIJ_SeqAIJ,
3177                                         MatMatMultNumeric_SeqAIJ_SeqAIJ,
3178                                         MatPtAP_SeqAIJ_SeqAIJ,
3179                                         MatPtAPSymbolic_SeqAIJ_SeqAIJ_DenseAxpy,
3180                                 /* 94*/ MatPtAPNumeric_SeqAIJ_SeqAIJ,
3181                                         MatMatTransposeMult_SeqAIJ_SeqAIJ,
3182                                         MatMatTransposeMultSymbolic_SeqAIJ_SeqAIJ,
3183                                         MatMatTransposeMultNumeric_SeqAIJ_SeqAIJ,
3184                                         0,
3185                                 /* 99*/ 0,
3186                                         0,
3187                                         0,
3188                                         MatConjugate_SeqAIJ,
3189                                         0,
3190                                 /*104*/ MatSetValuesRow_SeqAIJ,
3191                                         MatRealPart_SeqAIJ,
3192                                         MatImaginaryPart_SeqAIJ,
3193                                         0,
3194                                         0,
3195                                 /*109*/ MatMatSolve_SeqAIJ,
3196                                         0,
3197                                         MatGetRowMin_SeqAIJ,
3198                                         0,
3199                                         MatMissingDiagonal_SeqAIJ,
3200                                 /*114*/ 0,
3201                                         0,
3202                                         0,
3203                                         0,
3204                                         0,
3205                                 /*119*/ 0,
3206                                         0,
3207                                         0,
3208                                         0,
3209                                         MatGetMultiProcBlock_SeqAIJ,
3210                                 /*124*/ MatFindNonzeroRows_SeqAIJ,
3211                                         MatGetColumnNorms_SeqAIJ,
3212                                         MatInvertBlockDiagonal_SeqAIJ,
3213                                         0,
3214                                         0,
3215                                 /*129*/ 0,
3216                                         MatTransposeMatMult_SeqAIJ_SeqAIJ,
3217                                         MatTransposeMatMultSymbolic_SeqAIJ_SeqAIJ,
3218                                         MatTransposeMatMultNumeric_SeqAIJ_SeqAIJ,
3219                                         MatTransposeColoringCreate_SeqAIJ,
3220                                 /*134*/ MatTransColoringApplySpToDen_SeqAIJ,
3221                                         MatTransColoringApplyDenToSp_SeqAIJ,
3222                                         MatRARt_SeqAIJ_SeqAIJ,
3223                                         MatRARtSymbolic_SeqAIJ_SeqAIJ,
3224                                         MatRARtNumeric_SeqAIJ_SeqAIJ,
3225                                  /*139*/0,
3226                                         0,
3227                                         0,
3228                                         MatFDColoringSetUp_SeqXAIJ,
3229                                         MatFindOffBlockDiagonalEntries_SeqAIJ,
3230                                  /*144*/MatCreateMPIMatConcatenateSeqMat_SeqAIJ
3231 };
3232 
3233 #undef __FUNCT__
3234 #define __FUNCT__ "MatSeqAIJSetColumnIndices_SeqAIJ"
3235 PetscErrorCode  MatSeqAIJSetColumnIndices_SeqAIJ(Mat mat,PetscInt *indices)
3236 {
3237   Mat_SeqAIJ *aij = (Mat_SeqAIJ*)mat->data;
3238   PetscInt   i,nz,n;
3239 
3240   PetscFunctionBegin;
3241   nz = aij->maxnz;
3242   n  = mat->rmap->n;
3243   for (i=0; i<nz; i++) {
3244     aij->j[i] = indices[i];
3245   }
3246   aij->nz = nz;
3247   for (i=0; i<n; i++) {
3248     aij->ilen[i] = aij->imax[i];
3249   }
3250   PetscFunctionReturn(0);
3251 }
3252 
3253 #undef __FUNCT__
3254 #define __FUNCT__ "MatSeqAIJSetColumnIndices"
3255 /*@
3256     MatSeqAIJSetColumnIndices - Set the column indices for all the rows
3257        in the matrix.
3258 
3259   Input Parameters:
3260 +  mat - the SeqAIJ matrix
3261 -  indices - the column indices
3262 
3263   Level: advanced
3264 
3265   Notes:
3266     This can be called if you have precomputed the nonzero structure of the
3267   matrix and want to provide it to the matrix object to improve the performance
3268   of the MatSetValues() operation.
3269 
3270     You MUST have set the correct numbers of nonzeros per row in the call to
3271   MatCreateSeqAIJ(), and the columns indices MUST be sorted.
3272 
3273     MUST be called before any calls to MatSetValues();
3274 
3275     The indices should start with zero, not one.
3276 
3277 @*/
3278 PetscErrorCode  MatSeqAIJSetColumnIndices(Mat mat,PetscInt *indices)
3279 {
3280   PetscErrorCode ierr;
3281 
3282   PetscFunctionBegin;
3283   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3284   PetscValidPointer(indices,2);
3285   ierr = PetscUseMethod(mat,"MatSeqAIJSetColumnIndices_C",(Mat,PetscInt*),(mat,indices));CHKERRQ(ierr);
3286   PetscFunctionReturn(0);
3287 }
3288 
3289 /* ----------------------------------------------------------------------------------------*/
3290 
3291 #undef __FUNCT__
3292 #define __FUNCT__ "MatStoreValues_SeqAIJ"
3293 PetscErrorCode  MatStoreValues_SeqAIJ(Mat mat)
3294 {
3295   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3296   PetscErrorCode ierr;
3297   size_t         nz = aij->i[mat->rmap->n];
3298 
3299   PetscFunctionBegin;
3300   if (!aij->nonew) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3301 
3302   /* allocate space for values if not already there */
3303   if (!aij->saved_values) {
3304     ierr = PetscMalloc1(nz+1,&aij->saved_values);CHKERRQ(ierr);
3305     ierr = PetscLogObjectMemory((PetscObject)mat,(nz+1)*sizeof(PetscScalar));CHKERRQ(ierr);
3306   }
3307 
3308   /* copy values over */
3309   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3310   PetscFunctionReturn(0);
3311 }
3312 
3313 #undef __FUNCT__
3314 #define __FUNCT__ "MatStoreValues"
3315 /*@
3316     MatStoreValues - Stashes a copy of the matrix values; this allows, for
3317        example, reuse of the linear part of a Jacobian, while recomputing the
3318        nonlinear portion.
3319 
3320    Collect on Mat
3321 
3322   Input Parameters:
3323 .  mat - the matrix (currently only AIJ matrices support this option)
3324 
3325   Level: advanced
3326 
3327   Common Usage, with SNESSolve():
3328 $    Create Jacobian matrix
3329 $    Set linear terms into matrix
3330 $    Apply boundary conditions to matrix, at this time matrix must have
3331 $      final nonzero structure (i.e. setting the nonlinear terms and applying
3332 $      boundary conditions again will not change the nonzero structure
3333 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3334 $    ierr = MatStoreValues(mat);
3335 $    Call SNESSetJacobian() with matrix
3336 $    In your Jacobian routine
3337 $      ierr = MatRetrieveValues(mat);
3338 $      Set nonlinear terms in matrix
3339 
3340   Common Usage without SNESSolve(), i.e. when you handle nonlinear solve yourself:
3341 $    // build linear portion of Jacobian
3342 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3343 $    ierr = MatStoreValues(mat);
3344 $    loop over nonlinear iterations
3345 $       ierr = MatRetrieveValues(mat);
3346 $       // call MatSetValues(mat,...) to set nonliner portion of Jacobian
3347 $       // call MatAssemblyBegin/End() on matrix
3348 $       Solve linear system with Jacobian
3349 $    endloop
3350 
3351   Notes:
3352     Matrix must already be assemblied before calling this routine
3353     Must set the matrix option MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE); before
3354     calling this routine.
3355 
3356     When this is called multiple times it overwrites the previous set of stored values
3357     and does not allocated additional space.
3358 
3359 .seealso: MatRetrieveValues()
3360 
3361 @*/
3362 PetscErrorCode  MatStoreValues(Mat mat)
3363 {
3364   PetscErrorCode ierr;
3365 
3366   PetscFunctionBegin;
3367   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3368   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3369   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3370   ierr = PetscUseMethod(mat,"MatStoreValues_C",(Mat),(mat));CHKERRQ(ierr);
3371   PetscFunctionReturn(0);
3372 }
3373 
3374 #undef __FUNCT__
3375 #define __FUNCT__ "MatRetrieveValues_SeqAIJ"
3376 PetscErrorCode  MatRetrieveValues_SeqAIJ(Mat mat)
3377 {
3378   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3379   PetscErrorCode ierr;
3380   PetscInt       nz = aij->i[mat->rmap->n];
3381 
3382   PetscFunctionBegin;
3383   if (!aij->nonew) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3384   if (!aij->saved_values) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
3385   /* copy values over */
3386   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3387   PetscFunctionReturn(0);
3388 }
3389 
3390 #undef __FUNCT__
3391 #define __FUNCT__ "MatRetrieveValues"
3392 /*@
3393     MatRetrieveValues - Retrieves the copy of the matrix values; this allows, for
3394        example, reuse of the linear part of a Jacobian, while recomputing the
3395        nonlinear portion.
3396 
3397    Collect on Mat
3398 
3399   Input Parameters:
3400 .  mat - the matrix (currently on AIJ matrices support this option)
3401 
3402   Level: advanced
3403 
3404 .seealso: MatStoreValues()
3405 
3406 @*/
3407 PetscErrorCode  MatRetrieveValues(Mat mat)
3408 {
3409   PetscErrorCode ierr;
3410 
3411   PetscFunctionBegin;
3412   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3413   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3414   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3415   ierr = PetscUseMethod(mat,"MatRetrieveValues_C",(Mat),(mat));CHKERRQ(ierr);
3416   PetscFunctionReturn(0);
3417 }
3418 
3419 
3420 /* --------------------------------------------------------------------------------*/
3421 #undef __FUNCT__
3422 #define __FUNCT__ "MatCreateSeqAIJ"
3423 /*@C
3424    MatCreateSeqAIJ - Creates a sparse matrix in AIJ (compressed row) format
3425    (the default parallel PETSc format).  For good matrix assembly performance
3426    the user should preallocate the matrix storage by setting the parameter nz
3427    (or the array nnz).  By setting these parameters accurately, performance
3428    during matrix assembly can be increased by more than a factor of 50.
3429 
3430    Collective on MPI_Comm
3431 
3432    Input Parameters:
3433 +  comm - MPI communicator, set to PETSC_COMM_SELF
3434 .  m - number of rows
3435 .  n - number of columns
3436 .  nz - number of nonzeros per row (same for all rows)
3437 -  nnz - array containing the number of nonzeros in the various rows
3438          (possibly different for each row) or NULL
3439 
3440    Output Parameter:
3441 .  A - the matrix
3442 
3443    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3444    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3445    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3446 
3447    Notes:
3448    If nnz is given then nz is ignored
3449 
3450    The AIJ format (also called the Yale sparse matrix format or
3451    compressed row storage), is fully compatible with standard Fortran 77
3452    storage.  That is, the stored row and column indices can begin at
3453    either one (as in Fortran) or zero.  See the users' manual for details.
3454 
3455    Specify the preallocated storage with either nz or nnz (not both).
3456    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3457    allocation.  For large problems you MUST preallocate memory or you
3458    will get TERRIBLE performance, see the users' manual chapter on matrices.
3459 
3460    By default, this format uses inodes (identical nodes) when possible, to
3461    improve numerical efficiency of matrix-vector products and solves. We
3462    search for consecutive rows with the same nonzero structure, thereby
3463    reusing matrix information to achieve increased efficiency.
3464 
3465    Options Database Keys:
3466 +  -mat_no_inode  - Do not use inodes
3467 -  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3468 
3469    Level: intermediate
3470 
3471 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays()
3472 
3473 @*/
3474 PetscErrorCode  MatCreateSeqAIJ(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
3475 {
3476   PetscErrorCode ierr;
3477 
3478   PetscFunctionBegin;
3479   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3480   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
3481   ierr = MatSetType(*A,MATSEQAIJ);CHKERRQ(ierr);
3482   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*A,nz,nnz);CHKERRQ(ierr);
3483   PetscFunctionReturn(0);
3484 }
3485 
3486 #undef __FUNCT__
3487 #define __FUNCT__ "MatSeqAIJSetPreallocation"
3488 /*@C
3489    MatSeqAIJSetPreallocation - For good matrix assembly performance
3490    the user should preallocate the matrix storage by setting the parameter nz
3491    (or the array nnz).  By setting these parameters accurately, performance
3492    during matrix assembly can be increased by more than a factor of 50.
3493 
3494    Collective on MPI_Comm
3495 
3496    Input Parameters:
3497 +  B - The matrix
3498 .  nz - number of nonzeros per row (same for all rows)
3499 -  nnz - array containing the number of nonzeros in the various rows
3500          (possibly different for each row) or NULL
3501 
3502    Notes:
3503      If nnz is given then nz is ignored
3504 
3505     The AIJ format (also called the Yale sparse matrix format or
3506    compressed row storage), is fully compatible with standard Fortran 77
3507    storage.  That is, the stored row and column indices can begin at
3508    either one (as in Fortran) or zero.  See the users' manual for details.
3509 
3510    Specify the preallocated storage with either nz or nnz (not both).
3511    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3512    allocation.  For large problems you MUST preallocate memory or you
3513    will get TERRIBLE performance, see the users' manual chapter on matrices.
3514 
3515    You can call MatGetInfo() to get information on how effective the preallocation was;
3516    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3517    You can also run with the option -info and look for messages with the string
3518    malloc in them to see if additional memory allocation was needed.
3519 
3520    Developers: Use nz of MAT_SKIP_ALLOCATION to not allocate any space for the matrix
3521    entries or columns indices
3522 
3523    By default, this format uses inodes (identical nodes) when possible, to
3524    improve numerical efficiency of matrix-vector products and solves. We
3525    search for consecutive rows with the same nonzero structure, thereby
3526    reusing matrix information to achieve increased efficiency.
3527 
3528    Options Database Keys:
3529 +  -mat_no_inode  - Do not use inodes
3530 .  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3531 -  -mat_aij_oneindex - Internally use indexing starting at 1
3532         rather than 0.  Note that when calling MatSetValues(),
3533         the user still MUST index entries starting at 0!
3534 
3535    Level: intermediate
3536 
3537 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays(), MatGetInfo()
3538 
3539 @*/
3540 PetscErrorCode  MatSeqAIJSetPreallocation(Mat B,PetscInt nz,const PetscInt nnz[])
3541 {
3542   PetscErrorCode ierr;
3543 
3544   PetscFunctionBegin;
3545   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3546   PetscValidType(B,1);
3547   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocation_C",(Mat,PetscInt,const PetscInt[]),(B,nz,nnz));CHKERRQ(ierr);
3548   PetscFunctionReturn(0);
3549 }
3550 
3551 #undef __FUNCT__
3552 #define __FUNCT__ "MatSeqAIJSetPreallocation_SeqAIJ"
3553 PetscErrorCode  MatSeqAIJSetPreallocation_SeqAIJ(Mat B,PetscInt nz,const PetscInt *nnz)
3554 {
3555   Mat_SeqAIJ     *b;
3556   PetscBool      skipallocation = PETSC_FALSE,realalloc = PETSC_FALSE;
3557   PetscErrorCode ierr;
3558   PetscInt       i;
3559 
3560   PetscFunctionBegin;
3561   if (nz >= 0 || nnz) realalloc = PETSC_TRUE;
3562   if (nz == MAT_SKIP_ALLOCATION) {
3563     skipallocation = PETSC_TRUE;
3564     nz             = 0;
3565   }
3566 
3567   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3568   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3569 
3570   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
3571   if (nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %D",nz);
3572   if (nnz) {
3573     for (i=0; i<B->rmap->n; i++) {
3574       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]);
3575       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);
3576     }
3577   }
3578 
3579   B->preallocated = PETSC_TRUE;
3580 
3581   b = (Mat_SeqAIJ*)B->data;
3582 
3583   if (!skipallocation) {
3584     if (!b->imax) {
3585       ierr = PetscMalloc2(B->rmap->n,&b->imax,B->rmap->n,&b->ilen);CHKERRQ(ierr);
3586       ierr = PetscLogObjectMemory((PetscObject)B,2*B->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
3587     }
3588     if (!nnz) {
3589       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 10;
3590       else if (nz < 0) nz = 1;
3591       for (i=0; i<B->rmap->n; i++) b->imax[i] = nz;
3592       nz = nz*B->rmap->n;
3593     } else {
3594       nz = 0;
3595       for (i=0; i<B->rmap->n; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
3596     }
3597     /* b->ilen will count nonzeros in each row so far. */
3598     for (i=0; i<B->rmap->n; i++) b->ilen[i] = 0;
3599 
3600     /* allocate the matrix space */
3601     /* FIXME: should B's old memory be unlogged? */
3602     ierr    = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
3603     ierr    = PetscMalloc3(nz,&b->a,nz,&b->j,B->rmap->n+1,&b->i);CHKERRQ(ierr);
3604     ierr    = PetscLogObjectMemory((PetscObject)B,(B->rmap->n+1)*sizeof(PetscInt)+nz*(sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
3605     b->i[0] = 0;
3606     for (i=1; i<B->rmap->n+1; i++) {
3607       b->i[i] = b->i[i-1] + b->imax[i-1];
3608     }
3609     b->singlemalloc = PETSC_TRUE;
3610     b->free_a       = PETSC_TRUE;
3611     b->free_ij      = PETSC_TRUE;
3612   } else {
3613     b->free_a  = PETSC_FALSE;
3614     b->free_ij = PETSC_FALSE;
3615   }
3616 
3617   b->nz               = 0;
3618   b->maxnz            = nz;
3619   B->info.nz_unneeded = (double)b->maxnz;
3620   if (realalloc) {
3621     ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3622   }
3623   PetscFunctionReturn(0);
3624 }
3625 
3626 #undef  __FUNCT__
3627 #define __FUNCT__  "MatSeqAIJSetPreallocationCSR"
3628 /*@
3629    MatSeqAIJSetPreallocationCSR - Allocates memory for a sparse sequential matrix in AIJ format.
3630 
3631    Input Parameters:
3632 +  B - the matrix
3633 .  i - the indices into j for the start of each row (starts with zero)
3634 .  j - the column indices for each row (starts with zero) these must be sorted for each row
3635 -  v - optional values in the matrix
3636 
3637    Level: developer
3638 
3639    The i,j,v values are COPIED with this routine; to avoid the copy use MatCreateSeqAIJWithArrays()
3640 
3641 .keywords: matrix, aij, compressed row, sparse, sequential
3642 
3643 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatSeqAIJSetPreallocation(), MatCreateSeqAIJ(), SeqAIJ
3644 @*/
3645 PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat B,const PetscInt i[],const PetscInt j[],const PetscScalar v[])
3646 {
3647   PetscErrorCode ierr;
3648 
3649   PetscFunctionBegin;
3650   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3651   PetscValidType(B,1);
3652   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocationCSR_C",(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,i,j,v));CHKERRQ(ierr);
3653   PetscFunctionReturn(0);
3654 }
3655 
3656 #undef  __FUNCT__
3657 #define __FUNCT__  "MatSeqAIJSetPreallocationCSR_SeqAIJ"
3658 PetscErrorCode  MatSeqAIJSetPreallocationCSR_SeqAIJ(Mat B,const PetscInt Ii[],const PetscInt J[],const PetscScalar v[])
3659 {
3660   PetscInt       i;
3661   PetscInt       m,n;
3662   PetscInt       nz;
3663   PetscInt       *nnz, nz_max = 0;
3664   PetscScalar    *values;
3665   PetscErrorCode ierr;
3666 
3667   PetscFunctionBegin;
3668   if (Ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Ii[0] must be 0 it is %D", Ii[0]);
3669 
3670   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3671   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3672 
3673   ierr = MatGetSize(B, &m, &n);CHKERRQ(ierr);
3674   ierr = PetscMalloc1(m+1, &nnz);CHKERRQ(ierr);
3675   for (i = 0; i < m; i++) {
3676     nz     = Ii[i+1]- Ii[i];
3677     nz_max = PetscMax(nz_max, nz);
3678     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Local row %D has a negative number of columns %D", i, nnz);
3679     nnz[i] = nz;
3680   }
3681   ierr = MatSeqAIJSetPreallocation(B, 0, nnz);CHKERRQ(ierr);
3682   ierr = PetscFree(nnz);CHKERRQ(ierr);
3683 
3684   if (v) {
3685     values = (PetscScalar*) v;
3686   } else {
3687     ierr = PetscCalloc1(nz_max, &values);CHKERRQ(ierr);
3688   }
3689 
3690   for (i = 0; i < m; i++) {
3691     nz   = Ii[i+1] - Ii[i];
3692     ierr = MatSetValues_SeqAIJ(B, 1, &i, nz, J+Ii[i], values + (v ? Ii[i] : 0), INSERT_VALUES);CHKERRQ(ierr);
3693   }
3694 
3695   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3696   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3697 
3698   if (!v) {
3699     ierr = PetscFree(values);CHKERRQ(ierr);
3700   }
3701   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3702   PetscFunctionReturn(0);
3703 }
3704 
3705 #include <../src/mat/impls/dense/seq/dense.h>
3706 #include <petsc/private/kernels/petscaxpy.h>
3707 
3708 #undef __FUNCT__
3709 #define __FUNCT__ "MatMatMultNumeric_SeqDense_SeqAIJ"
3710 /*
3711     Computes (B'*A')' since computing B*A directly is untenable
3712 
3713                n                       p                          p
3714         (              )       (              )         (                  )
3715       m (      A       )  *  n (       B      )   =   m (         C        )
3716         (              )       (              )         (                  )
3717 
3718 */
3719 PetscErrorCode MatMatMultNumeric_SeqDense_SeqAIJ(Mat A,Mat B,Mat C)
3720 {
3721   PetscErrorCode    ierr;
3722   Mat_SeqDense      *sub_a = (Mat_SeqDense*)A->data;
3723   Mat_SeqAIJ        *sub_b = (Mat_SeqAIJ*)B->data;
3724   Mat_SeqDense      *sub_c = (Mat_SeqDense*)C->data;
3725   PetscInt          i,n,m,q,p;
3726   const PetscInt    *ii,*idx;
3727   const PetscScalar *b,*a,*a_q;
3728   PetscScalar       *c,*c_q;
3729 
3730   PetscFunctionBegin;
3731   m    = A->rmap->n;
3732   n    = A->cmap->n;
3733   p    = B->cmap->n;
3734   a    = sub_a->v;
3735   b    = sub_b->a;
3736   c    = sub_c->v;
3737   ierr = PetscMemzero(c,m*p*sizeof(PetscScalar));CHKERRQ(ierr);
3738 
3739   ii  = sub_b->i;
3740   idx = sub_b->j;
3741   for (i=0; i<n; i++) {
3742     q = ii[i+1] - ii[i];
3743     while (q-->0) {
3744       c_q = c + m*(*idx);
3745       a_q = a + m*i;
3746       PetscKernelAXPY(c_q,*b,a_q,m);
3747       idx++;
3748       b++;
3749     }
3750   }
3751   PetscFunctionReturn(0);
3752 }
3753 
3754 #undef __FUNCT__
3755 #define __FUNCT__ "MatMatMultSymbolic_SeqDense_SeqAIJ"
3756 PetscErrorCode MatMatMultSymbolic_SeqDense_SeqAIJ(Mat A,Mat B,PetscReal fill,Mat *C)
3757 {
3758   PetscErrorCode ierr;
3759   PetscInt       m=A->rmap->n,n=B->cmap->n;
3760   Mat            Cmat;
3761 
3762   PetscFunctionBegin;
3763   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);
3764   ierr = MatCreate(PetscObjectComm((PetscObject)A),&Cmat);CHKERRQ(ierr);
3765   ierr = MatSetSizes(Cmat,m,n,m,n);CHKERRQ(ierr);
3766   ierr = MatSetBlockSizesFromMats(Cmat,A,B);CHKERRQ(ierr);
3767   ierr = MatSetType(Cmat,MATSEQDENSE);CHKERRQ(ierr);
3768   ierr = MatSeqDenseSetPreallocation(Cmat,NULL);CHKERRQ(ierr);
3769 
3770   Cmat->ops->matmultnumeric = MatMatMultNumeric_SeqDense_SeqAIJ;
3771 
3772   *C = Cmat;
3773   PetscFunctionReturn(0);
3774 }
3775 
3776 /* ----------------------------------------------------------------*/
3777 #undef __FUNCT__
3778 #define __FUNCT__ "MatMatMult_SeqDense_SeqAIJ"
3779 PetscErrorCode MatMatMult_SeqDense_SeqAIJ(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
3780 {
3781   PetscErrorCode ierr;
3782 
3783   PetscFunctionBegin;
3784   if (scall == MAT_INITIAL_MATRIX) {
3785     ierr = PetscLogEventBegin(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
3786     ierr = MatMatMultSymbolic_SeqDense_SeqAIJ(A,B,fill,C);CHKERRQ(ierr);
3787     ierr = PetscLogEventEnd(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
3788   }
3789   ierr = PetscLogEventBegin(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
3790   ierr = MatMatMultNumeric_SeqDense_SeqAIJ(A,B,*C);CHKERRQ(ierr);
3791   ierr = PetscLogEventEnd(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
3792   PetscFunctionReturn(0);
3793 }
3794 
3795 
3796 /*MC
3797    MATSEQAIJ - MATSEQAIJ = "seqaij" - A matrix type to be used for sequential sparse matrices,
3798    based on compressed sparse row format.
3799 
3800    Options Database Keys:
3801 . -mat_type seqaij - sets the matrix type to "seqaij" during a call to MatSetFromOptions()
3802 
3803   Level: beginner
3804 
3805 .seealso: MatCreateSeqAIJ(), MatSetFromOptions(), MatSetType(), MatCreate(), MatType
3806 M*/
3807 
3808 /*MC
3809    MATAIJ - MATAIJ = "aij" - A matrix type to be used for sparse matrices.
3810 
3811    This matrix type is identical to MATSEQAIJ when constructed with a single process communicator,
3812    and MATMPIAIJ otherwise.  As a result, for single process communicators,
3813   MatSeqAIJSetPreallocation is supported, and similarly MatMPIAIJSetPreallocation is supported
3814   for communicators controlling multiple processes.  It is recommended that you call both of
3815   the above preallocation routines for simplicity.
3816 
3817    Options Database Keys:
3818 . -mat_type aij - sets the matrix type to "aij" during a call to MatSetFromOptions()
3819 
3820   Developer Notes: Subclasses include MATAIJCUSP, MATAIJPERM, MATAIJCRL, and also automatically switches over to use inodes when
3821    enough exist.
3822 
3823   Level: beginner
3824 
3825 .seealso: MatCreateAIJ(), MatCreateSeqAIJ(), MATSEQAIJ,MATMPIAIJ
3826 M*/
3827 
3828 /*MC
3829    MATAIJCRL - MATAIJCRL = "aijcrl" - A matrix type to be used for sparse matrices.
3830 
3831    This matrix type is identical to MATSEQAIJCRL when constructed with a single process communicator,
3832    and MATMPIAIJCRL otherwise.  As a result, for single process communicators,
3833    MatSeqAIJSetPreallocation() is supported, and similarly MatMPIAIJSetPreallocation() is supported
3834   for communicators controlling multiple processes.  It is recommended that you call both of
3835   the above preallocation routines for simplicity.
3836 
3837    Options Database Keys:
3838 . -mat_type aijcrl - sets the matrix type to "aijcrl" during a call to MatSetFromOptions()
3839 
3840   Level: beginner
3841 
3842 .seealso: MatCreateMPIAIJCRL,MATSEQAIJCRL,MATMPIAIJCRL, MATSEQAIJCRL, MATMPIAIJCRL
3843 M*/
3844 
3845 PETSC_EXTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJCRL(Mat,MatType,MatReuse,Mat*);
3846 #if defined(PETSC_HAVE_ELEMENTAL)
3847 PETSC_EXTERN PetscErrorCode MatConvert_SeqAIJ_Elemental(Mat,MatType,MatReuse,Mat*);
3848 #endif
3849 PETSC_EXTERN PetscErrorCode MatConvert_SeqAIJ_SeqDense(Mat,MatType,MatReuse,Mat*);
3850 
3851 #if defined(PETSC_HAVE_MATLAB_ENGINE)
3852 PETSC_EXTERN PetscErrorCode  MatlabEnginePut_SeqAIJ(PetscObject,void*);
3853 PETSC_EXTERN PetscErrorCode  MatlabEngineGet_SeqAIJ(PetscObject,void*);
3854 #endif
3855 
3856 
3857 #undef __FUNCT__
3858 #define __FUNCT__ "MatSeqAIJGetArray"
3859 /*@C
3860    MatSeqAIJGetArray - gives access to the array where the data for a SeqSeqAIJ matrix is stored
3861 
3862    Not Collective
3863 
3864    Input Parameter:
3865 .  mat - a MATSEQAIJ matrix
3866 
3867    Output Parameter:
3868 .   array - pointer to the data
3869 
3870    Level: intermediate
3871 
3872 .seealso: MatSeqAIJRestoreArray(), MatSeqAIJGetArrayF90()
3873 @*/
3874 PetscErrorCode  MatSeqAIJGetArray(Mat A,PetscScalar **array)
3875 {
3876   PetscErrorCode ierr;
3877 
3878   PetscFunctionBegin;
3879   ierr = PetscUseMethod(A,"MatSeqAIJGetArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
3880   PetscFunctionReturn(0);
3881 }
3882 
3883 #undef __FUNCT__
3884 #define __FUNCT__ "MatSeqAIJGetMaxRowNonzeros"
3885 /*@C
3886    MatSeqAIJGetMaxRowNonzeros - returns the maximum number of nonzeros in any row
3887 
3888    Not Collective
3889 
3890    Input Parameter:
3891 .  mat - a MATSEQAIJ matrix
3892 
3893    Output Parameter:
3894 .   nz - the maximum number of nonzeros in any row
3895 
3896    Level: intermediate
3897 
3898 .seealso: MatSeqAIJRestoreArray(), MatSeqAIJGetArrayF90()
3899 @*/
3900 PetscErrorCode  MatSeqAIJGetMaxRowNonzeros(Mat A,PetscInt *nz)
3901 {
3902   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)A->data;
3903 
3904   PetscFunctionBegin;
3905   *nz = aij->rmax;
3906   PetscFunctionReturn(0);
3907 }
3908 
3909 #undef __FUNCT__
3910 #define __FUNCT__ "MatSeqAIJRestoreArray"
3911 /*@C
3912    MatSeqAIJRestoreArray - returns access to the array where the data for a MATSEQAIJ matrix is stored obtained by MatSeqAIJGetArray()
3913 
3914    Not Collective
3915 
3916    Input Parameters:
3917 .  mat - a MATSEQAIJ matrix
3918 .  array - pointer to the data
3919 
3920    Level: intermediate
3921 
3922 .seealso: MatSeqAIJGetArray(), MatSeqAIJRestoreArrayF90()
3923 @*/
3924 PetscErrorCode  MatSeqAIJRestoreArray(Mat A,PetscScalar **array)
3925 {
3926   PetscErrorCode ierr;
3927 
3928   PetscFunctionBegin;
3929   ierr = PetscUseMethod(A,"MatSeqAIJRestoreArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
3930   PetscFunctionReturn(0);
3931 }
3932 
3933 #undef __FUNCT__
3934 #define __FUNCT__ "MatCreate_SeqAIJ"
3935 PETSC_EXTERN PetscErrorCode MatCreate_SeqAIJ(Mat B)
3936 {
3937   Mat_SeqAIJ     *b;
3938   PetscErrorCode ierr;
3939   PetscMPIInt    size;
3940 
3941   PetscFunctionBegin;
3942   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&size);CHKERRQ(ierr);
3943   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Comm must be of size 1");
3944 
3945   ierr = PetscNewLog(B,&b);CHKERRQ(ierr);
3946 
3947   B->data = (void*)b;
3948 
3949   ierr = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
3950 
3951   b->row                = 0;
3952   b->col                = 0;
3953   b->icol               = 0;
3954   b->reallocs           = 0;
3955   b->ignorezeroentries  = PETSC_FALSE;
3956   b->roworiented        = PETSC_TRUE;
3957   b->nonew              = 0;
3958   b->diag               = 0;
3959   b->solve_work         = 0;
3960   B->spptr              = 0;
3961   b->saved_values       = 0;
3962   b->idiag              = 0;
3963   b->mdiag              = 0;
3964   b->ssor_work          = 0;
3965   b->omega              = 1.0;
3966   b->fshift             = 0.0;
3967   b->idiagvalid         = PETSC_FALSE;
3968   b->ibdiagvalid        = PETSC_FALSE;
3969   b->keepnonzeropattern = PETSC_FALSE;
3970 
3971   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
3972   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJGetArray_C",MatSeqAIJGetArray_SeqAIJ);CHKERRQ(ierr);
3973   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJRestoreArray_C",MatSeqAIJRestoreArray_SeqAIJ);CHKERRQ(ierr);
3974 
3975 #if defined(PETSC_HAVE_MATLAB_ENGINE)
3976   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEnginePut_C",MatlabEnginePut_SeqAIJ);CHKERRQ(ierr);
3977   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEngineGet_C",MatlabEngineGet_SeqAIJ);CHKERRQ(ierr);
3978 #endif
3979 
3980   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetColumnIndices_C",MatSeqAIJSetColumnIndices_SeqAIJ);CHKERRQ(ierr);
3981   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_SeqAIJ);CHKERRQ(ierr);
3982   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_SeqAIJ);CHKERRQ(ierr);
3983   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqsbaij_C",MatConvert_SeqAIJ_SeqSBAIJ);CHKERRQ(ierr);
3984   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqbaij_C",MatConvert_SeqAIJ_SeqBAIJ);CHKERRQ(ierr);
3985   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijperm_C",MatConvert_SeqAIJ_SeqAIJPERM);CHKERRQ(ierr);
3986   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijcrl_C",MatConvert_SeqAIJ_SeqAIJCRL);CHKERRQ(ierr);
3987 #if defined(PETSC_HAVE_ELEMENTAL)
3988   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_elemental_C",MatConvert_SeqAIJ_Elemental);CHKERRQ(ierr);
3989 #endif
3990   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqdense_C",MatConvert_SeqAIJ_SeqDense);CHKERRQ(ierr);
3991   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
3992   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsHermitianTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
3993   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocation_C",MatSeqAIJSetPreallocation_SeqAIJ);CHKERRQ(ierr);
3994   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocationCSR_C",MatSeqAIJSetPreallocationCSR_SeqAIJ);CHKERRQ(ierr);
3995   ierr = PetscObjectComposeFunction((PetscObject)B,"MatReorderForNonzeroDiagonal_C",MatReorderForNonzeroDiagonal_SeqAIJ);CHKERRQ(ierr);
3996   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMult_seqdense_seqaij_C",MatMatMult_SeqDense_SeqAIJ);CHKERRQ(ierr);
3997   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultSymbolic_seqdense_seqaij_C",MatMatMultSymbolic_SeqDense_SeqAIJ);CHKERRQ(ierr);
3998   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultNumeric_seqdense_seqaij_C",MatMatMultNumeric_SeqDense_SeqAIJ);CHKERRQ(ierr);
3999   ierr = MatCreate_SeqAIJ_Inode(B);CHKERRQ(ierr);
4000   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
4001   PetscFunctionReturn(0);
4002 }
4003 
4004 #undef __FUNCT__
4005 #define __FUNCT__ "MatDuplicateNoCreate_SeqAIJ"
4006 /*
4007     Given a matrix generated with MatGetFactor() duplicates all the information in A into B
4008 */
4009 PetscErrorCode MatDuplicateNoCreate_SeqAIJ(Mat C,Mat A,MatDuplicateOption cpvalues,PetscBool mallocmatspace)
4010 {
4011   Mat_SeqAIJ     *c,*a = (Mat_SeqAIJ*)A->data;
4012   PetscErrorCode ierr;
4013   PetscInt       i,m = A->rmap->n;
4014 
4015   PetscFunctionBegin;
4016   c = (Mat_SeqAIJ*)C->data;
4017 
4018   C->factortype = A->factortype;
4019   c->row        = 0;
4020   c->col        = 0;
4021   c->icol       = 0;
4022   c->reallocs   = 0;
4023 
4024   C->assembled = PETSC_TRUE;
4025 
4026   ierr = PetscLayoutReference(A->rmap,&C->rmap);CHKERRQ(ierr);
4027   ierr = PetscLayoutReference(A->cmap,&C->cmap);CHKERRQ(ierr);
4028 
4029   ierr = PetscMalloc2(m,&c->imax,m,&c->ilen);CHKERRQ(ierr);
4030   ierr = PetscLogObjectMemory((PetscObject)C, 2*m*sizeof(PetscInt));CHKERRQ(ierr);
4031   for (i=0; i<m; i++) {
4032     c->imax[i] = a->imax[i];
4033     c->ilen[i] = a->ilen[i];
4034   }
4035 
4036   /* allocate the matrix space */
4037   if (mallocmatspace) {
4038     ierr = PetscMalloc3(a->i[m],&c->a,a->i[m],&c->j,m+1,&c->i);CHKERRQ(ierr);
4039     ierr = PetscLogObjectMemory((PetscObject)C, a->i[m]*(sizeof(PetscScalar)+sizeof(PetscInt))+(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4040 
4041     c->singlemalloc = PETSC_TRUE;
4042 
4043     ierr = PetscMemcpy(c->i,a->i,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4044     if (m > 0) {
4045       ierr = PetscMemcpy(c->j,a->j,(a->i[m])*sizeof(PetscInt));CHKERRQ(ierr);
4046       if (cpvalues == MAT_COPY_VALUES) {
4047         ierr = PetscMemcpy(c->a,a->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4048       } else {
4049         ierr = PetscMemzero(c->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4050       }
4051     }
4052   }
4053 
4054   c->ignorezeroentries = a->ignorezeroentries;
4055   c->roworiented       = a->roworiented;
4056   c->nonew             = a->nonew;
4057   if (a->diag) {
4058     ierr = PetscMalloc1(m+1,&c->diag);CHKERRQ(ierr);
4059     ierr = PetscLogObjectMemory((PetscObject)C,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4060     for (i=0; i<m; i++) {
4061       c->diag[i] = a->diag[i];
4062     }
4063   } else c->diag = 0;
4064 
4065   c->solve_work         = 0;
4066   c->saved_values       = 0;
4067   c->idiag              = 0;
4068   c->ssor_work          = 0;
4069   c->keepnonzeropattern = a->keepnonzeropattern;
4070   c->free_a             = PETSC_TRUE;
4071   c->free_ij            = PETSC_TRUE;
4072 
4073   c->rmax         = a->rmax;
4074   c->nz           = a->nz;
4075   c->maxnz        = a->nz;       /* Since we allocate exactly the right amount */
4076   C->preallocated = PETSC_TRUE;
4077 
4078   c->compressedrow.use   = a->compressedrow.use;
4079   c->compressedrow.nrows = a->compressedrow.nrows;
4080   if (a->compressedrow.use) {
4081     i    = a->compressedrow.nrows;
4082     ierr = PetscMalloc2(i+1,&c->compressedrow.i,i,&c->compressedrow.rindex);CHKERRQ(ierr);
4083     ierr = PetscMemcpy(c->compressedrow.i,a->compressedrow.i,(i+1)*sizeof(PetscInt));CHKERRQ(ierr);
4084     ierr = PetscMemcpy(c->compressedrow.rindex,a->compressedrow.rindex,i*sizeof(PetscInt));CHKERRQ(ierr);
4085   } else {
4086     c->compressedrow.use    = PETSC_FALSE;
4087     c->compressedrow.i      = NULL;
4088     c->compressedrow.rindex = NULL;
4089   }
4090   c->nonzerorowcnt = a->nonzerorowcnt;
4091   C->nonzerostate  = A->nonzerostate;
4092 
4093   ierr = MatDuplicate_SeqAIJ_Inode(A,cpvalues,&C);CHKERRQ(ierr);
4094   ierr = PetscFunctionListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
4095   PetscFunctionReturn(0);
4096 }
4097 
4098 #undef __FUNCT__
4099 #define __FUNCT__ "MatDuplicate_SeqAIJ"
4100 PetscErrorCode MatDuplicate_SeqAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
4101 {
4102   PetscErrorCode ierr;
4103 
4104   PetscFunctionBegin;
4105   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
4106   ierr = MatSetSizes(*B,A->rmap->n,A->cmap->n,A->rmap->n,A->cmap->n);CHKERRQ(ierr);
4107   if (!(A->rmap->n % A->rmap->bs) && !(A->cmap->n % A->cmap->bs)) {
4108     ierr = MatSetBlockSizesFromMats(*B,A,A);CHKERRQ(ierr);
4109   }
4110   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
4111   ierr = MatDuplicateNoCreate_SeqAIJ(*B,A,cpvalues,PETSC_TRUE);CHKERRQ(ierr);
4112   PetscFunctionReturn(0);
4113 }
4114 
4115 #undef __FUNCT__
4116 #define __FUNCT__ "MatLoad_SeqAIJ"
4117 PetscErrorCode MatLoad_SeqAIJ(Mat newMat, PetscViewer viewer)
4118 {
4119   Mat_SeqAIJ     *a;
4120   PetscErrorCode ierr;
4121   PetscInt       i,sum,nz,header[4],*rowlengths = 0,M,N,rows,cols;
4122   int            fd;
4123   PetscMPIInt    size;
4124   MPI_Comm       comm;
4125   PetscInt       bs = newMat->rmap->bs;
4126 
4127   PetscFunctionBegin;
4128   /* force binary viewer to load .info file if it has not yet done so */
4129   ierr = PetscViewerSetUp(viewer);CHKERRQ(ierr);
4130   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
4131   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4132   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"view must have one processor");
4133 
4134   ierr = PetscOptionsBegin(comm,NULL,"Options for loading SEQAIJ matrix","Mat");CHKERRQ(ierr);
4135   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
4136   ierr = PetscOptionsEnd();CHKERRQ(ierr);
4137   if (bs < 0) bs = 1;
4138   ierr = MatSetBlockSize(newMat,bs);CHKERRQ(ierr);
4139 
4140   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
4141   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
4142   if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object in file");
4143   M = header[1]; N = header[2]; nz = header[3];
4144 
4145   if (nz < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk,cannot load as SeqAIJ");
4146 
4147   /* read in row lengths */
4148   ierr = PetscMalloc1(M,&rowlengths);CHKERRQ(ierr);
4149   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
4150 
4151   /* check if sum of rowlengths is same as nz */
4152   for (i=0,sum=0; i< M; i++) sum +=rowlengths[i];
4153   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);
4154 
4155   /* set global size if not set already*/
4156   if (newMat->rmap->n < 0 && newMat->rmap->N < 0 && newMat->cmap->n < 0 && newMat->cmap->N < 0) {
4157     ierr = MatSetSizes(newMat,PETSC_DECIDE,PETSC_DECIDE,M,N);CHKERRQ(ierr);
4158   } else {
4159     /* if sizes and type are already set, check if the matrix  global sizes are correct */
4160     ierr = MatGetSize(newMat,&rows,&cols);CHKERRQ(ierr);
4161     if (rows < 0 && cols < 0) { /* user might provide local size instead of global size */
4162       ierr = MatGetLocalSize(newMat,&rows,&cols);CHKERRQ(ierr);
4163     }
4164     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);
4165   }
4166   ierr = MatSeqAIJSetPreallocation_SeqAIJ(newMat,0,rowlengths);CHKERRQ(ierr);
4167   a    = (Mat_SeqAIJ*)newMat->data;
4168 
4169   ierr = PetscBinaryRead(fd,a->j,nz,PETSC_INT);CHKERRQ(ierr);
4170 
4171   /* read in nonzero values */
4172   ierr = PetscBinaryRead(fd,a->a,nz,PETSC_SCALAR);CHKERRQ(ierr);
4173 
4174   /* set matrix "i" values */
4175   a->i[0] = 0;
4176   for (i=1; i<= M; i++) {
4177     a->i[i]      = a->i[i-1] + rowlengths[i-1];
4178     a->ilen[i-1] = rowlengths[i-1];
4179   }
4180   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
4181 
4182   ierr = MatAssemblyBegin(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4183   ierr = MatAssemblyEnd(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4184   PetscFunctionReturn(0);
4185 }
4186 
4187 #undef __FUNCT__
4188 #define __FUNCT__ "MatEqual_SeqAIJ"
4189 PetscErrorCode MatEqual_SeqAIJ(Mat A,Mat B,PetscBool * flg)
4190 {
4191   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*b = (Mat_SeqAIJ*)B->data;
4192   PetscErrorCode ierr;
4193 #if defined(PETSC_USE_COMPLEX)
4194   PetscInt k;
4195 #endif
4196 
4197   PetscFunctionBegin;
4198   /* If the  matrix dimensions are not equal,or no of nonzeros */
4199   if ((A->rmap->n != B->rmap->n) || (A->cmap->n != B->cmap->n) ||(a->nz != b->nz)) {
4200     *flg = PETSC_FALSE;
4201     PetscFunctionReturn(0);
4202   }
4203 
4204   /* if the a->i are the same */
4205   ierr = PetscMemcmp(a->i,b->i,(A->rmap->n+1)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4206   if (!*flg) PetscFunctionReturn(0);
4207 
4208   /* if a->j are the same */
4209   ierr = PetscMemcmp(a->j,b->j,(a->nz)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4210   if (!*flg) PetscFunctionReturn(0);
4211 
4212   /* if a->a are the same */
4213 #if defined(PETSC_USE_COMPLEX)
4214   for (k=0; k<a->nz; k++) {
4215     if (PetscRealPart(a->a[k]) != PetscRealPart(b->a[k]) || PetscImaginaryPart(a->a[k]) != PetscImaginaryPart(b->a[k])) {
4216       *flg = PETSC_FALSE;
4217       PetscFunctionReturn(0);
4218     }
4219   }
4220 #else
4221   ierr = PetscMemcmp(a->a,b->a,(a->nz)*sizeof(PetscScalar),flg);CHKERRQ(ierr);
4222 #endif
4223   PetscFunctionReturn(0);
4224 }
4225 
4226 #undef __FUNCT__
4227 #define __FUNCT__ "MatCreateSeqAIJWithArrays"
4228 /*@
4229      MatCreateSeqAIJWithArrays - Creates an sequential AIJ matrix using matrix elements (in CSR format)
4230               provided by the user.
4231 
4232       Collective on MPI_Comm
4233 
4234    Input Parameters:
4235 +   comm - must be an MPI communicator of size 1
4236 .   m - number of rows
4237 .   n - number of columns
4238 .   i - row indices
4239 .   j - column indices
4240 -   a - matrix values
4241 
4242    Output Parameter:
4243 .   mat - the matrix
4244 
4245    Level: intermediate
4246 
4247    Notes:
4248        The i, j, and a arrays are not copied by this routine, the user must free these arrays
4249     once the matrix is destroyed and not before
4250 
4251        You cannot set new nonzero locations into this matrix, that will generate an error.
4252 
4253        The i and j indices are 0 based
4254 
4255        The format which is used for the sparse matrix input, is equivalent to a
4256     row-major ordering.. i.e for the following matrix, the input data expected is
4257     as shown
4258 
4259 $        1 0 0
4260 $        2 0 3
4261 $        4 5 6
4262 $
4263 $        i =  {0,1,3,6}  [size = nrow+1  = 3+1]
4264 $        j =  {0,0,2,0,1,2}  [size = 6]; values must be sorted for each row
4265 $        v =  {1,2,3,4,5,6}  [size = 6]
4266 
4267 
4268 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateMPIAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4269 
4270 @*/
4271 PetscErrorCode  MatCreateSeqAIJWithArrays(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt *i,PetscInt *j,PetscScalar *a,Mat *mat)
4272 {
4273   PetscErrorCode ierr;
4274   PetscInt       ii;
4275   Mat_SeqAIJ     *aij;
4276 #if defined(PETSC_USE_DEBUG)
4277   PetscInt jj;
4278 #endif
4279 
4280   PetscFunctionBegin;
4281   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
4282   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4283   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4284   /* ierr = MatSetBlockSizes(*mat,,);CHKERRQ(ierr); */
4285   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4286   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
4287   aij  = (Mat_SeqAIJ*)(*mat)->data;
4288   ierr = PetscMalloc2(m,&aij->imax,m,&aij->ilen);CHKERRQ(ierr);
4289 
4290   aij->i            = i;
4291   aij->j            = j;
4292   aij->a            = a;
4293   aij->singlemalloc = PETSC_FALSE;
4294   aij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
4295   aij->free_a       = PETSC_FALSE;
4296   aij->free_ij      = PETSC_FALSE;
4297 
4298   for (ii=0; ii<m; ii++) {
4299     aij->ilen[ii] = aij->imax[ii] = i[ii+1] - i[ii];
4300 #if defined(PETSC_USE_DEBUG)
4301     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]);
4302     for (jj=i[ii]+1; jj<i[ii+1]; jj++) {
4303       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);
4304       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);
4305     }
4306 #endif
4307   }
4308 #if defined(PETSC_USE_DEBUG)
4309   for (ii=0; ii<aij->i[m]; ii++) {
4310     if (j[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %D index = %D",ii,j[ii]);
4311     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]);
4312   }
4313 #endif
4314 
4315   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4316   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4317   PetscFunctionReturn(0);
4318 }
4319 #undef __FUNCT__
4320 #define __FUNCT__ "MatCreateSeqAIJFromTriple"
4321 /*@C
4322      MatCreateSeqAIJFromTriple - Creates an sequential AIJ matrix using matrix elements (in COO format)
4323               provided by the user.
4324 
4325       Collective on MPI_Comm
4326 
4327    Input Parameters:
4328 +   comm - must be an MPI communicator of size 1
4329 .   m   - number of rows
4330 .   n   - number of columns
4331 .   i   - row indices
4332 .   j   - column indices
4333 .   a   - matrix values
4334 .   nz  - number of nonzeros
4335 -   idx - 0 or 1 based
4336 
4337    Output Parameter:
4338 .   mat - the matrix
4339 
4340    Level: intermediate
4341 
4342    Notes:
4343        The i and j indices are 0 based
4344 
4345        The format which is used for the sparse matrix input, is equivalent to a
4346     row-major ordering.. i.e for the following matrix, the input data expected is
4347     as shown:
4348 
4349         1 0 0
4350         2 0 3
4351         4 5 6
4352 
4353         i =  {0,1,1,2,2,2}
4354         j =  {0,0,2,0,1,2}
4355         v =  {1,2,3,4,5,6}
4356 
4357 
4358 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateSeqAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4359 
4360 @*/
4361 PetscErrorCode  MatCreateSeqAIJFromTriple(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt *i,PetscInt *j,PetscScalar *a,Mat *mat,PetscInt nz,PetscBool idx)
4362 {
4363   PetscErrorCode ierr;
4364   PetscInt       ii, *nnz, one = 1,row,col;
4365 
4366 
4367   PetscFunctionBegin;
4368   ierr = PetscCalloc1(m,&nnz);CHKERRQ(ierr);
4369   for (ii = 0; ii < nz; ii++) {
4370     nnz[i[ii] - !!idx] += 1;
4371   }
4372   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4373   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4374   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4375   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,0,nnz);CHKERRQ(ierr);
4376   for (ii = 0; ii < nz; ii++) {
4377     if (idx) {
4378       row = i[ii] - 1;
4379       col = j[ii] - 1;
4380     } else {
4381       row = i[ii];
4382       col = j[ii];
4383     }
4384     ierr = MatSetValues(*mat,one,&row,one,&col,&a[ii],ADD_VALUES);CHKERRQ(ierr);
4385   }
4386   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4387   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4388   ierr = PetscFree(nnz);CHKERRQ(ierr);
4389   PetscFunctionReturn(0);
4390 }
4391 
4392 #undef __FUNCT__
4393 #define __FUNCT__ "MatSetColoring_SeqAIJ"
4394 PetscErrorCode MatSetColoring_SeqAIJ(Mat A,ISColoring coloring)
4395 {
4396   PetscErrorCode ierr;
4397   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
4398 
4399   PetscFunctionBegin;
4400   if (coloring->ctype == IS_COLORING_GLOBAL) {
4401     ierr        = ISColoringReference(coloring);CHKERRQ(ierr);
4402     a->coloring = coloring;
4403   } else if (coloring->ctype == IS_COLORING_GHOSTED) {
4404     PetscInt        i,*larray;
4405     ISColoring      ocoloring;
4406     ISColoringValue *colors;
4407 
4408     /* set coloring for diagonal portion */
4409     ierr = PetscMalloc1(A->cmap->n,&larray);CHKERRQ(ierr);
4410     for (i=0; i<A->cmap->n; i++) larray[i] = i;
4411     ierr = ISGlobalToLocalMappingApply(A->cmap->mapping,IS_GTOLM_MASK,A->cmap->n,larray,NULL,larray);CHKERRQ(ierr);
4412     ierr = PetscMalloc1(A->cmap->n,&colors);CHKERRQ(ierr);
4413     for (i=0; i<A->cmap->n; i++) colors[i] = coloring->colors[larray[i]];
4414     ierr        = PetscFree(larray);CHKERRQ(ierr);
4415     ierr        = ISColoringCreate(PETSC_COMM_SELF,coloring->n,A->cmap->n,colors,PETSC_OWN_POINTER,&ocoloring);CHKERRQ(ierr);
4416     a->coloring = ocoloring;
4417   }
4418   PetscFunctionReturn(0);
4419 }
4420 
4421 #undef __FUNCT__
4422 #define __FUNCT__ "MatSetValuesAdifor_SeqAIJ"
4423 PetscErrorCode MatSetValuesAdifor_SeqAIJ(Mat A,PetscInt nl,void *advalues)
4424 {
4425   Mat_SeqAIJ      *a      = (Mat_SeqAIJ*)A->data;
4426   PetscInt        m       = A->rmap->n,*ii = a->i,*jj = a->j,nz,i,j;
4427   MatScalar       *v      = a->a;
4428   PetscScalar     *values = (PetscScalar*)advalues;
4429   ISColoringValue *color;
4430 
4431   PetscFunctionBegin;
4432   if (!a->coloring) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Coloring not set for matrix");
4433   color = a->coloring->colors;
4434   /* loop over rows */
4435   for (i=0; i<m; i++) {
4436     nz = ii[i+1] - ii[i];
4437     /* loop over columns putting computed value into matrix */
4438     for (j=0; j<nz; j++) *v++ = values[color[*jj++]];
4439     values += nl; /* jump to next row of derivatives */
4440   }
4441   PetscFunctionReturn(0);
4442 }
4443 
4444 #undef __FUNCT__
4445 #define __FUNCT__ "MatSeqAIJInvalidateDiagonal"
4446 PetscErrorCode MatSeqAIJInvalidateDiagonal(Mat A)
4447 {
4448   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data;
4449   PetscErrorCode ierr;
4450 
4451   PetscFunctionBegin;
4452   a->idiagvalid  = PETSC_FALSE;
4453   a->ibdiagvalid = PETSC_FALSE;
4454 
4455   ierr = MatSeqAIJInvalidateDiagonal_Inode(A);CHKERRQ(ierr);
4456   PetscFunctionReturn(0);
4457 }
4458 
4459 #undef __FUNCT__
4460 #define __FUNCT__ "MatCreateMPIMatConcatenateSeqMat_SeqAIJ"
4461 PetscErrorCode MatCreateMPIMatConcatenateSeqMat_SeqAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
4462 {
4463   PetscErrorCode ierr;
4464 
4465   PetscFunctionBegin;
4466   ierr = MatCreateMPIMatConcatenateSeqMat_MPIAIJ(comm,inmat,n,scall,outmat);CHKERRQ(ierr);
4467   PetscFunctionReturn(0);
4468 }
4469 
4470 /*
4471  Permute A into C's *local* index space using rowemb,colemb.
4472  The embedding are supposed to be injections and the above implies that the range of rowemb is a subset
4473  of [0,m), colemb is in [0,n).
4474  If pattern == DIFFERENT_NONZERO_PATTERN, C is preallocated according to A.
4475  */
4476 #undef __FUNCT__
4477 #define __FUNCT__ "MatSetSeqMat_SeqAIJ"
4478 PetscErrorCode MatSetSeqMat_SeqAIJ(Mat C,IS rowemb,IS colemb,MatStructure pattern,Mat B)
4479 {
4480   /* If making this function public, change the error returned in this function away from _PLIB. */
4481   PetscErrorCode ierr;
4482   Mat_SeqAIJ     *Baij;
4483   PetscBool      seqaij;
4484   PetscInt       m,n,*nz,i,j,count;
4485   PetscScalar    v;
4486   const PetscInt *rowindices,*colindices;
4487 
4488   PetscFunctionBegin;
4489   if (!B) PetscFunctionReturn(0);
4490   /* Check to make sure the target matrix (and embeddings) are compatible with C and each other. */
4491   ierr = PetscObjectTypeCompare((PetscObject)B,MATSEQAIJ,&seqaij);CHKERRQ(ierr);
4492   if (!seqaij) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is of wrong type");
4493   if (rowemb) {
4494     ierr = ISGetLocalSize(rowemb,&m);CHKERRQ(ierr);
4495     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);
4496   } else {
4497     if (C->rmap->n != B->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is row-incompatible with the target matrix");
4498   }
4499   if (colemb) {
4500     ierr = ISGetLocalSize(colemb,&n);CHKERRQ(ierr);
4501     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);
4502   } else {
4503     if (C->cmap->n != B->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Input matrix is col-incompatible with the target matrix");
4504   }
4505 
4506   Baij = (Mat_SeqAIJ*)(B->data);
4507   if (pattern == DIFFERENT_NONZERO_PATTERN) {
4508     ierr = PetscMalloc1(B->rmap->n,&nz);CHKERRQ(ierr);
4509     for (i=0; i<B->rmap->n; i++) {
4510       nz[i] = Baij->i[i+1] - Baij->i[i];
4511     }
4512     ierr = MatSeqAIJSetPreallocation(C,0,nz);CHKERRQ(ierr);
4513     ierr = PetscFree(nz);CHKERRQ(ierr);
4514   }
4515   if (pattern == SUBSET_NONZERO_PATTERN) {
4516     ierr = MatZeroEntries(C);CHKERRQ(ierr);
4517   }
4518   count = 0;
4519   rowindices = NULL;
4520   colindices = NULL;
4521   if (rowemb) {
4522     ierr = ISGetIndices(rowemb,&rowindices);CHKERRQ(ierr);
4523   }
4524   if (colemb) {
4525     ierr = ISGetIndices(colemb,&colindices);CHKERRQ(ierr);
4526   }
4527   for (i=0; i<B->rmap->n; i++) {
4528     PetscInt row;
4529     row = i;
4530     if (rowindices) row = rowindices[i];
4531     for (j=Baij->i[i]; j<Baij->i[i+1]; j++) {
4532       PetscInt col;
4533       col  = Baij->j[count];
4534       if (colindices) col = colindices[col];
4535       v    = Baij->a[count];
4536       ierr = MatSetValues(C,1,&row,1,&col,&v,INSERT_VALUES);CHKERRQ(ierr);
4537       ++count;
4538     }
4539   }
4540   /* FIXME: set C's nonzerostate correctly. */
4541   /* Assembly for C is necessary. */
4542   C->preallocated = PETSC_TRUE;
4543   C->assembled     = PETSC_TRUE;
4544   C->was_assembled = PETSC_FALSE;
4545   PetscFunctionReturn(0);
4546 }
4547 
4548 
4549 /*
4550     Special version for direct calls from Fortran
4551 */
4552 #include <petsc/private/fortranimpl.h>
4553 #if defined(PETSC_HAVE_FORTRAN_CAPS)
4554 #define matsetvaluesseqaij_ MATSETVALUESSEQAIJ
4555 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
4556 #define matsetvaluesseqaij_ matsetvaluesseqaij
4557 #endif
4558 
4559 /* Change these macros so can be used in void function */
4560 #undef CHKERRQ
4561 #define CHKERRQ(ierr) CHKERRABORT(PetscObjectComm((PetscObject)A),ierr)
4562 #undef SETERRQ2
4563 #define SETERRQ2(comm,ierr,b,c,d) CHKERRABORT(comm,ierr)
4564 #undef SETERRQ3
4565 #define SETERRQ3(comm,ierr,b,c,d,e) CHKERRABORT(comm,ierr)
4566 
4567 #undef __FUNCT__
4568 #define __FUNCT__ "matsetvaluesseqaij_"
4569 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)
4570 {
4571   Mat            A  = *AA;
4572   PetscInt       m  = *mm, n = *nn;
4573   InsertMode     is = *isis;
4574   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
4575   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
4576   PetscInt       *imax,*ai,*ailen;
4577   PetscErrorCode ierr;
4578   PetscInt       *aj,nonew = a->nonew,lastcol = -1;
4579   MatScalar      *ap,value,*aa;
4580   PetscBool      ignorezeroentries = a->ignorezeroentries;
4581   PetscBool      roworiented       = a->roworiented;
4582 
4583   PetscFunctionBegin;
4584   MatCheckPreallocated(A,1);
4585   imax  = a->imax;
4586   ai    = a->i;
4587   ailen = a->ilen;
4588   aj    = a->j;
4589   aa    = a->a;
4590 
4591   for (k=0; k<m; k++) { /* loop over added rows */
4592     row = im[k];
4593     if (row < 0) continue;
4594 #if defined(PETSC_USE_DEBUG)
4595     if (row >= A->rmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Row too large");
4596 #endif
4597     rp   = aj + ai[row]; ap = aa + ai[row];
4598     rmax = imax[row]; nrow = ailen[row];
4599     low  = 0;
4600     high = nrow;
4601     for (l=0; l<n; l++) { /* loop over added columns */
4602       if (in[l] < 0) continue;
4603 #if defined(PETSC_USE_DEBUG)
4604       if (in[l] >= A->cmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Column too large");
4605 #endif
4606       col = in[l];
4607       if (roworiented) value = v[l + k*n];
4608       else value = v[k + l*m];
4609 
4610       if (value == 0.0 && ignorezeroentries && (is == ADD_VALUES)) continue;
4611 
4612       if (col <= lastcol) low = 0;
4613       else high = nrow;
4614       lastcol = col;
4615       while (high-low > 5) {
4616         t = (low+high)/2;
4617         if (rp[t] > col) high = t;
4618         else             low  = t;
4619       }
4620       for (i=low; i<high; i++) {
4621         if (rp[i] > col) break;
4622         if (rp[i] == col) {
4623           if (is == ADD_VALUES) ap[i] += value;
4624           else                  ap[i] = value;
4625           goto noinsert;
4626         }
4627       }
4628       if (value == 0.0 && ignorezeroentries) goto noinsert;
4629       if (nonew == 1) goto noinsert;
4630       if (nonew == -1) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero in the matrix");
4631       MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
4632       N = nrow++ - 1; a->nz++; high++;
4633       /* shift up all the later entries in this row */
4634       for (ii=N; ii>=i; ii--) {
4635         rp[ii+1] = rp[ii];
4636         ap[ii+1] = ap[ii];
4637       }
4638       rp[i] = col;
4639       ap[i] = value;
4640       A->nonzerostate++;
4641 noinsert:;
4642       low = i + 1;
4643     }
4644     ailen[row] = nrow;
4645   }
4646   PetscFunctionReturnVoid();
4647 }
4648 
4649