xref: /petsc/src/mat/impls/aij/seq/aij.c (revision 772ec989c7718bb40cfbe6762601ac78951cc001)
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 #if defined(PETSC_THREADCOMM_ACTIVE)
13 #include <petscthreadcomm.h>
14 #endif
15 
16 #undef __FUNCT__
17 #define __FUNCT__ "MatGetColumnNorms_SeqAIJ"
18 PetscErrorCode MatGetColumnNorms_SeqAIJ(Mat A,NormType type,PetscReal *norms)
19 {
20   PetscErrorCode ierr;
21   PetscInt       i,m,n;
22   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)A->data;
23 
24   PetscFunctionBegin;
25   ierr = MatGetSize(A,&m,&n);CHKERRQ(ierr);
26   ierr = PetscMemzero(norms,n*sizeof(PetscReal));CHKERRQ(ierr);
27   if (type == NORM_2) {
28     for (i=0; i<aij->i[m]; i++) {
29       norms[aij->j[i]] += PetscAbsScalar(aij->a[i]*aij->a[i]);
30     }
31   } else if (type == NORM_1) {
32     for (i=0; i<aij->i[m]; i++) {
33       norms[aij->j[i]] += PetscAbsScalar(aij->a[i]);
34     }
35   } else if (type == NORM_INFINITY) {
36     for (i=0; i<aij->i[m]; i++) {
37       norms[aij->j[i]] = PetscMax(PetscAbsScalar(aij->a[i]),norms[aij->j[i]]);
38     }
39   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Unknown NormType");
40 
41   if (type == NORM_2) {
42     for (i=0; i<n; i++) norms[i] = PetscSqrtReal(norms[i]);
43   }
44   PetscFunctionReturn(0);
45 }
46 
47 #undef __FUNCT__
48 #define __FUNCT__ "MatFindOffBlockDiagonalEntries_SeqAIJ"
49 PetscErrorCode MatFindOffBlockDiagonalEntries_SeqAIJ(Mat A,IS *is)
50 {
51   Mat_SeqAIJ      *a  = (Mat_SeqAIJ*)A->data;
52   PetscInt        i,m=A->rmap->n,cnt = 0, bs = A->rmap->bs;
53   const PetscInt  *jj = a->j,*ii = a->i;
54   PetscInt        *rows;
55   PetscErrorCode  ierr;
56 
57   PetscFunctionBegin;
58   for (i=0; i<m; i++) {
59     if ((ii[i] != ii[i+1]) && ((jj[ii[i]] < bs*(i/bs)) || (jj[ii[i+1]-1] > bs*((i+bs)/bs)-1))) {
60       cnt++;
61     }
62   }
63   ierr = PetscMalloc1(cnt,&rows);CHKERRQ(ierr);
64   cnt  = 0;
65   for (i=0; i<m; i++) {
66     if ((ii[i] != ii[i+1]) && ((jj[ii[i]] < bs*(i/bs)) || (jj[ii[i+1]-1] > bs*((i+bs)/bs)-1))) {
67       rows[cnt] = i;
68       cnt++;
69     }
70   }
71   ierr = ISCreateGeneral(PETSC_COMM_SELF,cnt,rows,PETSC_OWN_POINTER,is);CHKERRQ(ierr);
72   PetscFunctionReturn(0);
73 }
74 
75 #undef __FUNCT__
76 #define __FUNCT__ "MatFindZeroDiagonals_SeqAIJ_Private"
77 PetscErrorCode MatFindZeroDiagonals_SeqAIJ_Private(Mat A,PetscInt *nrows,PetscInt **zrows)
78 {
79   Mat_SeqAIJ      *a  = (Mat_SeqAIJ*)A->data;
80   const MatScalar *aa = a->a;
81   PetscInt        i,m=A->rmap->n,cnt = 0;
82   const PetscInt  *jj = a->j,*diag;
83   PetscInt        *rows;
84   PetscErrorCode  ierr;
85 
86   PetscFunctionBegin;
87   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
88   diag = a->diag;
89   for (i=0; i<m; i++) {
90     if ((jj[diag[i]] != i) || (aa[diag[i]] == 0.0)) {
91       cnt++;
92     }
93   }
94   ierr = PetscMalloc1(cnt,&rows);CHKERRQ(ierr);
95   cnt  = 0;
96   for (i=0; i<m; i++) {
97     if ((jj[diag[i]] != i) || (aa[diag[i]] == 0.0)) {
98       rows[cnt++] = i;
99     }
100   }
101   *nrows = cnt;
102   *zrows = rows;
103   PetscFunctionReturn(0);
104 }
105 
106 #undef __FUNCT__
107 #define __FUNCT__ "MatFindZeroDiagonals_SeqAIJ"
108 PetscErrorCode MatFindZeroDiagonals_SeqAIJ(Mat A,IS *zrows)
109 {
110   PetscInt       nrows,*rows;
111   PetscErrorCode ierr;
112 
113   PetscFunctionBegin;
114   *zrows = NULL;
115   ierr   = MatFindZeroDiagonals_SeqAIJ_Private(A,&nrows,&rows);CHKERRQ(ierr);
116   ierr   = ISCreateGeneral(PetscObjectComm((PetscObject)A),nrows,rows,PETSC_OWN_POINTER,zrows);CHKERRQ(ierr);
117   PetscFunctionReturn(0);
118 }
119 
120 #undef __FUNCT__
121 #define __FUNCT__ "MatFindNonzeroRows_SeqAIJ"
122 PetscErrorCode MatFindNonzeroRows_SeqAIJ(Mat A,IS *keptrows)
123 {
124   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
125   const MatScalar *aa;
126   PetscInt        m=A->rmap->n,cnt = 0;
127   const PetscInt  *ii;
128   PetscInt        n,i,j,*rows;
129   PetscErrorCode  ierr;
130 
131   PetscFunctionBegin;
132   *keptrows = 0;
133   ii        = a->i;
134   for (i=0; i<m; i++) {
135     n = ii[i+1] - ii[i];
136     if (!n) {
137       cnt++;
138       goto ok1;
139     }
140     aa = a->a + ii[i];
141     for (j=0; j<n; j++) {
142       if (aa[j] != 0.0) goto ok1;
143     }
144     cnt++;
145 ok1:;
146   }
147   if (!cnt) PetscFunctionReturn(0);
148   ierr = PetscMalloc1((A->rmap->n-cnt),&rows);CHKERRQ(ierr);
149   cnt  = 0;
150   for (i=0; i<m; i++) {
151     n = ii[i+1] - ii[i];
152     if (!n) continue;
153     aa = a->a + ii[i];
154     for (j=0; j<n; j++) {
155       if (aa[j] != 0.0) {
156         rows[cnt++] = i;
157         break;
158       }
159     }
160   }
161   ierr = ISCreateGeneral(PETSC_COMM_SELF,cnt,rows,PETSC_OWN_POINTER,keptrows);CHKERRQ(ierr);
162   PetscFunctionReturn(0);
163 }
164 
165 #undef __FUNCT__
166 #define __FUNCT__ "MatDiagonalSet_SeqAIJ"
167 PetscErrorCode  MatDiagonalSet_SeqAIJ(Mat Y,Vec D,InsertMode is)
168 {
169   PetscErrorCode ierr;
170   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) Y->data;
171   PetscInt       i,*diag, m = Y->rmap->n;
172   MatScalar      *aa = aij->a;
173   PetscScalar    *v;
174   PetscBool      missing;
175 
176   PetscFunctionBegin;
177   if (Y->assembled) {
178     ierr = MatMissingDiagonal_SeqAIJ(Y,&missing,NULL);CHKERRQ(ierr);
179     if (!missing) {
180       diag = aij->diag;
181       ierr = VecGetArray(D,&v);CHKERRQ(ierr);
182       if (is == INSERT_VALUES) {
183         for (i=0; i<m; i++) {
184           aa[diag[i]] = v[i];
185         }
186       } else {
187         for (i=0; i<m; i++) {
188           aa[diag[i]] += v[i];
189         }
190       }
191       ierr = VecRestoreArray(D,&v);CHKERRQ(ierr);
192       PetscFunctionReturn(0);
193     }
194     ierr = MatSeqAIJInvalidateDiagonal(Y);CHKERRQ(ierr);
195   }
196   ierr = MatDiagonalSet_Default(Y,D,is);CHKERRQ(ierr);
197   PetscFunctionReturn(0);
198 }
199 
200 #undef __FUNCT__
201 #define __FUNCT__ "MatGetRowIJ_SeqAIJ"
202 PetscErrorCode MatGetRowIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *m,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
203 {
204   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
205   PetscErrorCode ierr;
206   PetscInt       i,ishift;
207 
208   PetscFunctionBegin;
209   *m = A->rmap->n;
210   if (!ia) PetscFunctionReturn(0);
211   ishift = 0;
212   if (symmetric && !A->structurally_symmetric) {
213     ierr = MatToSymmetricIJ_SeqAIJ(A->rmap->n,a->i,a->j,ishift,oshift,(PetscInt**)ia,(PetscInt**)ja);CHKERRQ(ierr);
214   } else if (oshift == 1) {
215     PetscInt *tia;
216     PetscInt nz = a->i[A->rmap->n];
217     /* malloc space and  add 1 to i and j indices */
218     ierr = PetscMalloc1((A->rmap->n+1),&tia);CHKERRQ(ierr);
219     for (i=0; i<A->rmap->n+1; i++) tia[i] = a->i[i] + 1;
220     *ia = tia;
221     if (ja) {
222       PetscInt *tja;
223       ierr = PetscMalloc1((nz+1),&tja);CHKERRQ(ierr);
224       for (i=0; i<nz; i++) tja[i] = a->j[i] + 1;
225       *ja = tja;
226     }
227   } else {
228     *ia = a->i;
229     if (ja) *ja = a->j;
230   }
231   PetscFunctionReturn(0);
232 }
233 
234 #undef __FUNCT__
235 #define __FUNCT__ "MatRestoreRowIJ_SeqAIJ"
236 PetscErrorCode MatRestoreRowIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
237 {
238   PetscErrorCode ierr;
239 
240   PetscFunctionBegin;
241   if (!ia) PetscFunctionReturn(0);
242   if ((symmetric && !A->structurally_symmetric) || oshift == 1) {
243     ierr = PetscFree(*ia);CHKERRQ(ierr);
244     if (ja) {ierr = PetscFree(*ja);CHKERRQ(ierr);}
245   }
246   PetscFunctionReturn(0);
247 }
248 
249 #undef __FUNCT__
250 #define __FUNCT__ "MatGetColumnIJ_SeqAIJ"
251 PetscErrorCode MatGetColumnIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
252 {
253   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
254   PetscErrorCode ierr;
255   PetscInt       i,*collengths,*cia,*cja,n = A->cmap->n,m = A->rmap->n;
256   PetscInt       nz = a->i[m],row,*jj,mr,col;
257 
258   PetscFunctionBegin;
259   *nn = n;
260   if (!ia) PetscFunctionReturn(0);
261   if (symmetric) {
262     ierr = MatToSymmetricIJ_SeqAIJ(A->rmap->n,a->i,a->j,0,oshift,(PetscInt**)ia,(PetscInt**)ja);CHKERRQ(ierr);
263   } else {
264     ierr = PetscCalloc1(n+1,&collengths);CHKERRQ(ierr);
265     ierr = PetscMalloc1((n+1),&cia);CHKERRQ(ierr);
266     ierr = PetscMalloc1((nz+1),&cja);CHKERRQ(ierr);
267     jj   = a->j;
268     for (i=0; i<nz; i++) {
269       collengths[jj[i]]++;
270     }
271     cia[0] = oshift;
272     for (i=0; i<n; i++) {
273       cia[i+1] = cia[i] + collengths[i];
274     }
275     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
276     jj   = a->j;
277     for (row=0; row<m; row++) {
278       mr = a->i[row+1] - a->i[row];
279       for (i=0; i<mr; i++) {
280         col = *jj++;
281 
282         cja[cia[col] + collengths[col]++ - oshift] = row + oshift;
283       }
284     }
285     ierr = PetscFree(collengths);CHKERRQ(ierr);
286     *ia  = cia; *ja = cja;
287   }
288   PetscFunctionReturn(0);
289 }
290 
291 #undef __FUNCT__
292 #define __FUNCT__ "MatRestoreColumnIJ_SeqAIJ"
293 PetscErrorCode MatRestoreColumnIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
294 {
295   PetscErrorCode ierr;
296 
297   PetscFunctionBegin;
298   if (!ia) PetscFunctionReturn(0);
299 
300   ierr = PetscFree(*ia);CHKERRQ(ierr);
301   ierr = PetscFree(*ja);CHKERRQ(ierr);
302   PetscFunctionReturn(0);
303 }
304 
305 /*
306  MatGetColumnIJ_SeqAIJ_Color() and MatRestoreColumnIJ_SeqAIJ_Color() are customized from
307  MatGetColumnIJ_SeqAIJ() and MatRestoreColumnIJ_SeqAIJ() by adding an output
308  spidx[], index of a->a, to be used in MatTransposeColoringCreate_SeqAIJ() and MatFDColoringCreate_SeqXAIJ()
309 */
310 #undef __FUNCT__
311 #define __FUNCT__ "MatGetColumnIJ_SeqAIJ_Color"
312 PetscErrorCode MatGetColumnIJ_SeqAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
313 {
314   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
315   PetscErrorCode ierr;
316   PetscInt       i,*collengths,*cia,*cja,n = A->cmap->n,m = A->rmap->n;
317   PetscInt       nz = a->i[m],row,*jj,mr,col;
318   PetscInt       *cspidx;
319 
320   PetscFunctionBegin;
321   *nn = n;
322   if (!ia) PetscFunctionReturn(0);
323 
324   ierr = PetscCalloc1(n+1,&collengths);CHKERRQ(ierr);
325   ierr = PetscMalloc1((n+1),&cia);CHKERRQ(ierr);
326   ierr = PetscMalloc1((nz+1),&cja);CHKERRQ(ierr);
327   ierr = PetscMalloc1((nz+1),&cspidx);CHKERRQ(ierr);
328   jj   = a->j;
329   for (i=0; i<nz; i++) {
330     collengths[jj[i]]++;
331   }
332   cia[0] = oshift;
333   for (i=0; i<n; i++) {
334     cia[i+1] = cia[i] + collengths[i];
335   }
336   ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
337   jj   = a->j;
338   for (row=0; row<m; row++) {
339     mr = a->i[row+1] - a->i[row];
340     for (i=0; i<mr; i++) {
341       col = *jj++;
342       cspidx[cia[col] + collengths[col] - oshift] = a->i[row] + i; /* index of a->j */
343       cja[cia[col] + collengths[col]++ - oshift]  = row + oshift;
344     }
345   }
346   ierr   = PetscFree(collengths);CHKERRQ(ierr);
347   *ia    = cia; *ja = cja;
348   *spidx = cspidx;
349   PetscFunctionReturn(0);
350 }
351 
352 #undef __FUNCT__
353 #define __FUNCT__ "MatRestoreColumnIJ_SeqAIJ_Color"
354 PetscErrorCode MatRestoreColumnIJ_SeqAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
355 {
356   PetscErrorCode ierr;
357 
358   PetscFunctionBegin;
359   ierr = MatRestoreColumnIJ_SeqAIJ(A,oshift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
360   ierr = PetscFree(*spidx);CHKERRQ(ierr);
361   PetscFunctionReturn(0);
362 }
363 
364 #undef __FUNCT__
365 #define __FUNCT__ "MatSetValuesRow_SeqAIJ"
366 PetscErrorCode MatSetValuesRow_SeqAIJ(Mat A,PetscInt row,const PetscScalar v[])
367 {
368   Mat_SeqAIJ     *a  = (Mat_SeqAIJ*)A->data;
369   PetscInt       *ai = a->i;
370   PetscErrorCode ierr;
371 
372   PetscFunctionBegin;
373   ierr = PetscMemcpy(a->a+ai[row],v,(ai[row+1]-ai[row])*sizeof(PetscScalar));CHKERRQ(ierr);
374   PetscFunctionReturn(0);
375 }
376 
377 /*
378     MatSeqAIJSetValuesLocalFast - An optimized version of MatSetValuesLocal() for SeqAIJ matrices with several assumptions
379 
380       -   a single row of values is set with each call
381       -   no row or column indices are negative or (in error) larger than the number of rows or columns
382       -   the values are always added to the matrix, not set
383       -   no new locations are introduced in the nonzero structure of the matrix
384 
385      This does NOT assume the global column indices are sorted
386 
387 */
388 
389 #include <petsc-private/isimpl.h>
390 #undef __FUNCT__
391 #define __FUNCT__ "MatSeqAIJSetValuesLocalFast"
392 PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
393 {
394   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
395   PetscInt       low,high,t,row,nrow,i,col,l;
396   const PetscInt *rp,*ai = a->i,*ailen = a->ilen,*aj = a->j;
397   PetscInt       lastcol = -1;
398   MatScalar      *ap,value,*aa = a->a;
399   const PetscInt *ridx = A->rmap->mapping->indices,*cidx = A->cmap->mapping->indices;
400 
401   row = ridx[im[0]];
402   rp   = aj + ai[row];
403   ap = aa + ai[row];
404   nrow = ailen[row];
405   low  = 0;
406   high = nrow;
407   for (l=0; l<n; l++) { /* loop over added columns */
408     col = cidx[in[l]];
409     value = v[l];
410 
411     if (col <= lastcol) low = 0;
412     else high = nrow;
413     lastcol = col;
414     while (high-low > 5) {
415       t = (low+high)/2;
416       if (rp[t] > col) high = t;
417       else low = t;
418     }
419     for (i=low; i<high; i++) {
420       if (rp[i] == col) {
421         ap[i] += value;
422         low = i + 1;
423         break;
424       }
425     }
426   }
427   return 0;
428 }
429 
430 #undef __FUNCT__
431 #define __FUNCT__ "MatSetValues_SeqAIJ"
432 PetscErrorCode MatSetValues_SeqAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
433 {
434   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
435   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
436   PetscInt       *imax = a->imax,*ai = a->i,*ailen = a->ilen;
437   PetscErrorCode ierr;
438   PetscInt       *aj = a->j,nonew = a->nonew,lastcol = -1;
439   MatScalar      *ap,value,*aa = a->a;
440   PetscBool      ignorezeroentries = a->ignorezeroentries;
441   PetscBool      roworiented       = a->roworiented;
442 
443   PetscFunctionBegin;
444   for (k=0; k<m; k++) { /* loop over added rows */
445     row = im[k];
446     if (row < 0) continue;
447 #if defined(PETSC_USE_DEBUG)
448     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);
449 #endif
450     rp   = aj + ai[row]; ap = aa + ai[row];
451     rmax = imax[row]; nrow = ailen[row];
452     low  = 0;
453     high = nrow;
454     for (l=0; l<n; l++) { /* loop over added columns */
455       if (in[l] < 0) continue;
456 #if defined(PETSC_USE_DEBUG)
457       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);
458 #endif
459       col = in[l];
460       if (roworiented) {
461         value = v[l + k*n];
462       } else {
463         value = v[k + l*m];
464       }
465       if ((value == 0.0 && ignorezeroentries) && (is == ADD_VALUES)) continue;
466 
467       if (col <= lastcol) low = 0;
468       else high = nrow;
469       lastcol = col;
470       while (high-low > 5) {
471         t = (low+high)/2;
472         if (rp[t] > col) high = t;
473         else low = t;
474       }
475       for (i=low; i<high; i++) {
476         if (rp[i] > col) break;
477         if (rp[i] == col) {
478           if (is == ADD_VALUES) ap[i] += value;
479           else ap[i] = value;
480           low = i + 1;
481           goto noinsert;
482         }
483       }
484       if (value == 0.0 && ignorezeroentries) goto noinsert;
485       if (nonew == 1) goto noinsert;
486       if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero at (%D,%D) in the matrix",row,col);
487       MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
488       N = nrow++ - 1; a->nz++; high++;
489       /* shift up all the later entries in this row */
490       for (ii=N; ii>=i; ii--) {
491         rp[ii+1] = rp[ii];
492         ap[ii+1] = ap[ii];
493       }
494       rp[i] = col;
495       ap[i] = value;
496       low   = i + 1;
497       A->nonzerostate++;
498 noinsert:;
499     }
500     ailen[row] = nrow;
501   }
502   PetscFunctionReturn(0);
503 }
504 
505 
506 #undef __FUNCT__
507 #define __FUNCT__ "MatGetValues_SeqAIJ"
508 PetscErrorCode MatGetValues_SeqAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],PetscScalar v[])
509 {
510   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
511   PetscInt   *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
512   PetscInt   *ai = a->i,*ailen = a->ilen;
513   MatScalar  *ap,*aa = a->a;
514 
515   PetscFunctionBegin;
516   for (k=0; k<m; k++) { /* loop over rows */
517     row = im[k];
518     if (row < 0) {v += n; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",row); */
519     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);
520     rp   = aj + ai[row]; ap = aa + ai[row];
521     nrow = ailen[row];
522     for (l=0; l<n; l++) { /* loop over columns */
523       if (in[l] < 0) {v++; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column: %D",in[l]); */
524       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);
525       col  = in[l];
526       high = nrow; low = 0; /* assume unsorted */
527       while (high-low > 5) {
528         t = (low+high)/2;
529         if (rp[t] > col) high = t;
530         else low = t;
531       }
532       for (i=low; i<high; i++) {
533         if (rp[i] > col) break;
534         if (rp[i] == col) {
535           *v++ = ap[i];
536           goto finished;
537         }
538       }
539       *v++ = 0.0;
540 finished:;
541     }
542   }
543   PetscFunctionReturn(0);
544 }
545 
546 
547 #undef __FUNCT__
548 #define __FUNCT__ "MatView_SeqAIJ_Binary"
549 PetscErrorCode MatView_SeqAIJ_Binary(Mat A,PetscViewer viewer)
550 {
551   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
552   PetscErrorCode ierr;
553   PetscInt       i,*col_lens;
554   int            fd;
555   FILE           *file;
556 
557   PetscFunctionBegin;
558   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
559   ierr = PetscMalloc1((4+A->rmap->n),&col_lens);CHKERRQ(ierr);
560 
561   col_lens[0] = MAT_FILE_CLASSID;
562   col_lens[1] = A->rmap->n;
563   col_lens[2] = A->cmap->n;
564   col_lens[3] = a->nz;
565 
566   /* store lengths of each row and write (including header) to file */
567   for (i=0; i<A->rmap->n; i++) {
568     col_lens[4+i] = a->i[i+1] - a->i[i];
569   }
570   ierr = PetscBinaryWrite(fd,col_lens,4+A->rmap->n,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
571   ierr = PetscFree(col_lens);CHKERRQ(ierr);
572 
573   /* store column indices (zero start index) */
574   ierr = PetscBinaryWrite(fd,a->j,a->nz,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
575 
576   /* store nonzero values */
577   ierr = PetscBinaryWrite(fd,a->a,a->nz,PETSC_SCALAR,PETSC_FALSE);CHKERRQ(ierr);
578 
579   ierr = PetscViewerBinaryGetInfoPointer(viewer,&file);CHKERRQ(ierr);
580   if (file) {
581     fprintf(file,"-matload_block_size %d\n",(int)PetscAbs(A->rmap->bs));
582   }
583   PetscFunctionReturn(0);
584 }
585 
586 extern PetscErrorCode MatSeqAIJFactorInfo_Matlab(Mat,PetscViewer);
587 
588 #undef __FUNCT__
589 #define __FUNCT__ "MatView_SeqAIJ_ASCII"
590 PetscErrorCode MatView_SeqAIJ_ASCII(Mat A,PetscViewer viewer)
591 {
592   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
593   PetscErrorCode    ierr;
594   PetscInt          i,j,m = A->rmap->n;
595   const char        *name;
596   PetscViewerFormat format;
597 
598   PetscFunctionBegin;
599   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
600   if (format == PETSC_VIEWER_ASCII_MATLAB) {
601     PetscInt nofinalvalue = 0;
602     if (m && ((a->i[m] == a->i[m-1]) || (a->j[a->nz-1] != A->cmap->n-1))) {
603       /* Need a dummy value to ensure the dimension of the matrix. */
604       nofinalvalue = 1;
605     }
606     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
607     ierr = PetscViewerASCIIPrintf(viewer,"%% Size = %D %D \n",m,A->cmap->n);CHKERRQ(ierr);
608     ierr = PetscViewerASCIIPrintf(viewer,"%% Nonzeros = %D \n",a->nz);CHKERRQ(ierr);
609 #if defined(PETSC_USE_COMPLEX)
610     ierr = PetscViewerASCIIPrintf(viewer,"zzz = zeros(%D,4);\n",a->nz+nofinalvalue);CHKERRQ(ierr);
611 #else
612     ierr = PetscViewerASCIIPrintf(viewer,"zzz = zeros(%D,3);\n",a->nz+nofinalvalue);CHKERRQ(ierr);
613 #endif
614     ierr = PetscViewerASCIIPrintf(viewer,"zzz = [\n");CHKERRQ(ierr);
615 
616     for (i=0; i<m; i++) {
617       for (j=a->i[i]; j<a->i[i+1]; j++) {
618 #if defined(PETSC_USE_COMPLEX)
619         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);
620 #else
621         ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e\n",i+1,a->j[j]+1,(double)a->a[j]);CHKERRQ(ierr);
622 #endif
623       }
624     }
625     if (nofinalvalue) {
626 #if defined(PETSC_USE_COMPLEX)
627       ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e %18.16e\n",m,A->cmap->n,0.,0.);CHKERRQ(ierr);
628 #else
629       ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e\n",m,A->cmap->n,0.0);CHKERRQ(ierr);
630 #endif
631     }
632     ierr = PetscObjectGetName((PetscObject)A,&name);CHKERRQ(ierr);
633     ierr = PetscViewerASCIIPrintf(viewer,"];\n %s = spconvert(zzz);\n",name);CHKERRQ(ierr);
634     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
635   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO || format == PETSC_VIEWER_ASCII_INFO) {
636     PetscFunctionReturn(0);
637   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
638     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
639     for (i=0; i<m; i++) {
640       ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
641       for (j=a->i[i]; j<a->i[i+1]; j++) {
642 #if defined(PETSC_USE_COMPLEX)
643         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 (PetscImaginaryPart(a->a[j]) < 0.0 && PetscRealPart(a->a[j]) != 0.0) {
646           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
647         } else if (PetscRealPart(a->a[j]) != 0.0) {
648           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
649         }
650 #else
651         if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);}
652 #endif
653       }
654       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
655     }
656     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
657   } else if (format == PETSC_VIEWER_ASCII_SYMMODU) {
658     PetscInt nzd=0,fshift=1,*sptr;
659     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
660     ierr = PetscMalloc1((m+1),&sptr);CHKERRQ(ierr);
661     for (i=0; i<m; i++) {
662       sptr[i] = nzd+1;
663       for (j=a->i[i]; j<a->i[i+1]; j++) {
664         if (a->j[j] >= i) {
665 #if defined(PETSC_USE_COMPLEX)
666           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) nzd++;
667 #else
668           if (a->a[j] != 0.0) nzd++;
669 #endif
670         }
671       }
672     }
673     sptr[m] = nzd+1;
674     ierr    = PetscViewerASCIIPrintf(viewer," %D %D\n\n",m,nzd);CHKERRQ(ierr);
675     for (i=0; i<m+1; i+=6) {
676       if (i+4<m) {
677         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);
678       } else if (i+3<m) {
679         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);
680       } else if (i+2<m) {
681         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2],sptr[i+3]);CHKERRQ(ierr);
682       } else if (i+1<m) {
683         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2]);CHKERRQ(ierr);
684       } else if (i<m) {
685         ierr = PetscViewerASCIIPrintf(viewer," %D %D\n",sptr[i],sptr[i+1]);CHKERRQ(ierr);
686       } else {
687         ierr = PetscViewerASCIIPrintf(viewer," %D\n",sptr[i]);CHKERRQ(ierr);
688       }
689     }
690     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
691     ierr = PetscFree(sptr);CHKERRQ(ierr);
692     for (i=0; i<m; i++) {
693       for (j=a->i[i]; j<a->i[i+1]; j++) {
694         if (a->j[j] >= i) {ierr = PetscViewerASCIIPrintf(viewer," %D ",a->j[j]+fshift);CHKERRQ(ierr);}
695       }
696       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
697     }
698     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
699     for (i=0; i<m; i++) {
700       for (j=a->i[i]; j<a->i[i+1]; j++) {
701         if (a->j[j] >= i) {
702 #if defined(PETSC_USE_COMPLEX)
703           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) {
704             ierr = PetscViewerASCIIPrintf(viewer," %18.16e %18.16e ",(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
705           }
706 #else
707           if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," %18.16e ",(double)a->a[j]);CHKERRQ(ierr);}
708 #endif
709         }
710       }
711       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
712     }
713     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
714   } else if (format == PETSC_VIEWER_ASCII_DENSE) {
715     PetscInt    cnt = 0,jcnt;
716     PetscScalar value;
717 #if defined(PETSC_USE_COMPLEX)
718     PetscBool   realonly = PETSC_TRUE;
719 
720     for (i=0; i<a->i[m]; i++) {
721       if (PetscImaginaryPart(a->a[i]) != 0.0) {
722         realonly = PETSC_FALSE;
723         break;
724       }
725     }
726 #endif
727 
728     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
729     for (i=0; i<m; i++) {
730       jcnt = 0;
731       for (j=0; j<A->cmap->n; j++) {
732         if (jcnt < a->i[i+1]-a->i[i] && j == a->j[cnt]) {
733           value = a->a[cnt++];
734           jcnt++;
735         } else {
736           value = 0.0;
737         }
738 #if defined(PETSC_USE_COMPLEX)
739         if (realonly) {
740           ierr = PetscViewerASCIIPrintf(viewer," %7.5e ",(double)PetscRealPart(value));CHKERRQ(ierr);
741         } else {
742           ierr = PetscViewerASCIIPrintf(viewer," %7.5e+%7.5e i ",(double)PetscRealPart(value),(double)PetscImaginaryPart(value));CHKERRQ(ierr);
743         }
744 #else
745         ierr = PetscViewerASCIIPrintf(viewer," %7.5e ",(double)value);CHKERRQ(ierr);
746 #endif
747       }
748       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
749     }
750     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
751   } else if (format == PETSC_VIEWER_ASCII_MATRIXMARKET) {
752     PetscInt fshift=1;
753     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
754 #if defined(PETSC_USE_COMPLEX)
755     ierr = PetscViewerASCIIPrintf(viewer,"%%matrix complex general\n");CHKERRQ(ierr);
756 #else
757     ierr = PetscViewerASCIIPrintf(viewer,"%%matrix real general\n");CHKERRQ(ierr);
758 #endif
759     ierr = PetscViewerASCIIPrintf(viewer,"%D %D %D\n", m, A->cmap->n, a->nz);CHKERRQ(ierr);
760     for (i=0; i<m; i++) {
761       for (j=a->i[i]; j<a->i[i+1]; j++) {
762 #if defined(PETSC_USE_COMPLEX)
763         if (PetscImaginaryPart(a->a[j]) > 0.0) {
764           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);
765         } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
766           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);
767         } else {
768           ierr = PetscViewerASCIIPrintf(viewer,"%D %D, %g\n", i+fshift,a->j[j]+fshift,(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
769         }
770 #else
771         ierr = PetscViewerASCIIPrintf(viewer,"%D %D %g\n", i+fshift, a->j[j]+fshift, (double)a->a[j]);CHKERRQ(ierr);
772 #endif
773       }
774     }
775     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
776   } else {
777     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
778     if (A->factortype) {
779       for (i=0; i<m; i++) {
780         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
781         /* L part */
782         for (j=a->i[i]; j<a->i[i+1]; j++) {
783 #if defined(PETSC_USE_COMPLEX)
784           if (PetscImaginaryPart(a->a[j]) > 0.0) {
785             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
786           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
787             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)(-PetscImaginaryPart(a->a[j])));CHKERRQ(ierr);
788           } else {
789             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
790           }
791 #else
792           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);
793 #endif
794         }
795         /* diagonal */
796         j = a->diag[i];
797 #if defined(PETSC_USE_COMPLEX)
798         if (PetscImaginaryPart(a->a[j]) > 0.0) {
799           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);
800         } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
801           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);
802         } else {
803           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(1.0/a->a[j]));CHKERRQ(ierr);
804         }
805 #else
806         ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)(1.0/a->a[j]));CHKERRQ(ierr);
807 #endif
808 
809         /* U part */
810         for (j=a->diag[i+1]+1; j<a->diag[i]; j++) {
811 #if defined(PETSC_USE_COMPLEX)
812           if (PetscImaginaryPart(a->a[j]) > 0.0) {
813             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
814           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
815             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)(-PetscImaginaryPart(a->a[j])));CHKERRQ(ierr);
816           } else {
817             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
818           }
819 #else
820           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);
821 #endif
822         }
823         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
824       }
825     } else {
826       for (i=0; i<m; i++) {
827         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
828         for (j=a->i[i]; j<a->i[i+1]; j++) {
829 #if defined(PETSC_USE_COMPLEX)
830           if (PetscImaginaryPart(a->a[j]) > 0.0) {
831             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
832           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
833             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j],(double)PetscRealPart(a->a[j]),(double)-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
834           } else {
835             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)PetscRealPart(a->a[j]));CHKERRQ(ierr);
836           }
837 #else
838           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j],(double)a->a[j]);CHKERRQ(ierr);
839 #endif
840         }
841         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
842       }
843     }
844     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
845   }
846   ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
847   PetscFunctionReturn(0);
848 }
849 
850 #include <petscdraw.h>
851 #undef __FUNCT__
852 #define __FUNCT__ "MatView_SeqAIJ_Draw_Zoom"
853 PetscErrorCode MatView_SeqAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
854 {
855   Mat               A  = (Mat) Aa;
856   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
857   PetscErrorCode    ierr;
858   PetscInt          i,j,m = A->rmap->n,color;
859   PetscReal         xl,yl,xr,yr,x_l,x_r,y_l,y_r,maxv = 0.0;
860   PetscViewer       viewer;
861   PetscViewerFormat format;
862 
863   PetscFunctionBegin;
864   ierr = PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer);CHKERRQ(ierr);
865   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
866 
867   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
868   /* loop over matrix elements drawing boxes */
869 
870   if (format != PETSC_VIEWER_DRAW_CONTOUR) {
871     /* Blue for negative, Cyan for zero and  Red for positive */
872     color = PETSC_DRAW_BLUE;
873     for (i=0; i<m; i++) {
874       y_l = m - i - 1.0; y_r = y_l + 1.0;
875       for (j=a->i[i]; j<a->i[i+1]; j++) {
876         x_l = a->j[j]; x_r = x_l + 1.0;
877         if (PetscRealPart(a->a[j]) >=  0.) continue;
878         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
879       }
880     }
881     color = PETSC_DRAW_CYAN;
882     for (i=0; i<m; i++) {
883       y_l = m - i - 1.0; y_r = y_l + 1.0;
884       for (j=a->i[i]; j<a->i[i+1]; j++) {
885         x_l = a->j[j]; x_r = x_l + 1.0;
886         if (a->a[j] !=  0.) continue;
887         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
888       }
889     }
890     color = PETSC_DRAW_RED;
891     for (i=0; i<m; i++) {
892       y_l = m - i - 1.0; y_r = y_l + 1.0;
893       for (j=a->i[i]; j<a->i[i+1]; j++) {
894         x_l = a->j[j]; x_r = x_l + 1.0;
895         if (PetscRealPart(a->a[j]) <=  0.) continue;
896         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
897       }
898     }
899   } else {
900     /* use contour shading to indicate magnitude of values */
901     /* first determine max of all nonzero values */
902     PetscInt  nz = a->nz,count;
903     PetscDraw popup;
904     PetscReal scale;
905 
906     for (i=0; i<nz; i++) {
907       if (PetscAbsScalar(a->a[i]) > maxv) maxv = PetscAbsScalar(a->a[i]);
908     }
909     scale = (245.0 - PETSC_DRAW_BASIC_COLORS)/maxv;
910     ierr  = PetscDrawGetPopup(draw,&popup);CHKERRQ(ierr);
911     if (popup) {
912       ierr = PetscDrawScalePopup(popup,0.0,maxv);CHKERRQ(ierr);
913     }
914     count = 0;
915     for (i=0; i<m; i++) {
916       y_l = m - i - 1.0; y_r = y_l + 1.0;
917       for (j=a->i[i]; j<a->i[i+1]; j++) {
918         x_l   = a->j[j]; x_r = x_l + 1.0;
919         color = PETSC_DRAW_BASIC_COLORS + (PetscInt)(scale*PetscAbsScalar(a->a[count]));
920         ierr  = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
921         count++;
922       }
923     }
924   }
925   PetscFunctionReturn(0);
926 }
927 
928 #include <petscdraw.h>
929 #undef __FUNCT__
930 #define __FUNCT__ "MatView_SeqAIJ_Draw"
931 PetscErrorCode MatView_SeqAIJ_Draw(Mat A,PetscViewer viewer)
932 {
933   PetscErrorCode ierr;
934   PetscDraw      draw;
935   PetscReal      xr,yr,xl,yl,h,w;
936   PetscBool      isnull;
937 
938   PetscFunctionBegin;
939   ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
940   ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr);
941   if (isnull) PetscFunctionReturn(0);
942 
943   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer);CHKERRQ(ierr);
944   xr   = A->cmap->n; yr = A->rmap->n; h = yr/10.0; w = xr/10.0;
945   xr  += w;    yr += h;  xl = -w;     yl = -h;
946   ierr = PetscDrawSetCoordinates(draw,xl,yl,xr,yr);CHKERRQ(ierr);
947   ierr = PetscDrawZoom(draw,MatView_SeqAIJ_Draw_Zoom,A);CHKERRQ(ierr);
948   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",NULL);CHKERRQ(ierr);
949   PetscFunctionReturn(0);
950 }
951 
952 #undef __FUNCT__
953 #define __FUNCT__ "MatView_SeqAIJ"
954 PetscErrorCode MatView_SeqAIJ(Mat A,PetscViewer viewer)
955 {
956   PetscErrorCode ierr;
957   PetscBool      iascii,isbinary,isdraw;
958 
959   PetscFunctionBegin;
960   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
961   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
962   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
963   if (iascii) {
964     ierr = MatView_SeqAIJ_ASCII(A,viewer);CHKERRQ(ierr);
965   } else if (isbinary) {
966     ierr = MatView_SeqAIJ_Binary(A,viewer);CHKERRQ(ierr);
967   } else if (isdraw) {
968     ierr = MatView_SeqAIJ_Draw(A,viewer);CHKERRQ(ierr);
969   }
970   ierr = MatView_SeqAIJ_Inode(A,viewer);CHKERRQ(ierr);
971   PetscFunctionReturn(0);
972 }
973 
974 #undef __FUNCT__
975 #define __FUNCT__ "MatAssemblyEnd_SeqAIJ"
976 PetscErrorCode MatAssemblyEnd_SeqAIJ(Mat A,MatAssemblyType mode)
977 {
978   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
979   PetscErrorCode ierr;
980   PetscInt       fshift = 0,i,j,*ai = a->i,*aj = a->j,*imax = a->imax;
981   PetscInt       m      = A->rmap->n,*ip,N,*ailen = a->ilen,rmax = 0;
982   MatScalar      *aa    = a->a,*ap;
983   PetscReal      ratio  = 0.6;
984 
985   PetscFunctionBegin;
986   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
987 
988   if (m) rmax = ailen[0]; /* determine row with most nonzeros */
989   for (i=1; i<m; i++) {
990     /* move each row back by the amount of empty slots (fshift) before it*/
991     fshift += imax[i-1] - ailen[i-1];
992     rmax    = PetscMax(rmax,ailen[i]);
993     if (fshift) {
994       ip = aj + ai[i];
995       ap = aa + ai[i];
996       N  = ailen[i];
997       for (j=0; j<N; j++) {
998         ip[j-fshift] = ip[j];
999         ap[j-fshift] = ap[j];
1000       }
1001     }
1002     ai[i] = ai[i-1] + ailen[i-1];
1003   }
1004   if (m) {
1005     fshift += imax[m-1] - ailen[m-1];
1006     ai[m]   = ai[m-1] + ailen[m-1];
1007   }
1008 
1009   /* reset ilen and imax for each row */
1010   a->nonzerorowcnt = 0;
1011   for (i=0; i<m; i++) {
1012     ailen[i] = imax[i] = ai[i+1] - ai[i];
1013     a->nonzerorowcnt += ((ai[i+1] - ai[i]) > 0);
1014   }
1015   a->nz = ai[m];
1016   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);
1017 
1018   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1019   ierr = PetscInfo4(A,"Matrix size: %D X %D; storage space: %D unneeded,%D used\n",m,A->cmap->n,fshift,a->nz);CHKERRQ(ierr);
1020   ierr = PetscInfo1(A,"Number of mallocs during MatSetValues() is %D\n",a->reallocs);CHKERRQ(ierr);
1021   ierr = PetscInfo1(A,"Maximum nonzeros in any row is %D\n",rmax);CHKERRQ(ierr);
1022 
1023   A->info.mallocs    += a->reallocs;
1024   a->reallocs         = 0;
1025   A->info.nz_unneeded = (PetscReal)fshift;
1026   a->rmax             = rmax;
1027 
1028   ierr = MatCheckCompressedRow(A,a->nonzerorowcnt,&a->compressedrow,a->i,m,ratio);CHKERRQ(ierr);
1029   ierr = MatAssemblyEnd_SeqAIJ_Inode(A,mode);CHKERRQ(ierr);
1030   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1031   PetscFunctionReturn(0);
1032 }
1033 
1034 #undef __FUNCT__
1035 #define __FUNCT__ "MatRealPart_SeqAIJ"
1036 PetscErrorCode MatRealPart_SeqAIJ(Mat A)
1037 {
1038   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1039   PetscInt       i,nz = a->nz;
1040   MatScalar      *aa = a->a;
1041   PetscErrorCode ierr;
1042 
1043   PetscFunctionBegin;
1044   for (i=0; i<nz; i++) aa[i] = PetscRealPart(aa[i]);
1045   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1046   PetscFunctionReturn(0);
1047 }
1048 
1049 #undef __FUNCT__
1050 #define __FUNCT__ "MatImaginaryPart_SeqAIJ"
1051 PetscErrorCode MatImaginaryPart_SeqAIJ(Mat A)
1052 {
1053   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1054   PetscInt       i,nz = a->nz;
1055   MatScalar      *aa = a->a;
1056   PetscErrorCode ierr;
1057 
1058   PetscFunctionBegin;
1059   for (i=0; i<nz; i++) aa[i] = PetscImaginaryPart(aa[i]);
1060   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1061   PetscFunctionReturn(0);
1062 }
1063 
1064 #if defined(PETSC_THREADCOMM_ACTIVE)
1065 PetscErrorCode MatZeroEntries_SeqAIJ_Kernel(PetscInt thread_id,Mat A)
1066 {
1067   PetscErrorCode ierr;
1068   PetscInt       *trstarts=A->rmap->trstarts;
1069   PetscInt       n,start,end;
1070   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1071 
1072   start = trstarts[thread_id];
1073   end   = trstarts[thread_id+1];
1074   n     = a->i[end] - a->i[start];
1075   ierr  = PetscMemzero(a->a+a->i[start],n*sizeof(PetscScalar));CHKERRQ(ierr);
1076   return 0;
1077 }
1078 
1079 #undef __FUNCT__
1080 #define __FUNCT__ "MatZeroEntries_SeqAIJ"
1081 PetscErrorCode MatZeroEntries_SeqAIJ(Mat A)
1082 {
1083   PetscErrorCode ierr;
1084 
1085   PetscFunctionBegin;
1086   ierr = PetscThreadCommRunKernel(PetscObjectComm((PetscObject)A),(PetscThreadKernel)MatZeroEntries_SeqAIJ_Kernel,1,A);CHKERRQ(ierr);
1087   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1088   PetscFunctionReturn(0);
1089 }
1090 #else
1091 #undef __FUNCT__
1092 #define __FUNCT__ "MatZeroEntries_SeqAIJ"
1093 PetscErrorCode MatZeroEntries_SeqAIJ(Mat A)
1094 {
1095   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1096   PetscErrorCode ierr;
1097 
1098   PetscFunctionBegin;
1099   ierr = PetscMemzero(a->a,(a->i[A->rmap->n])*sizeof(PetscScalar));CHKERRQ(ierr);
1100   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1101   PetscFunctionReturn(0);
1102 }
1103 #endif
1104 
1105 #undef __FUNCT__
1106 #define __FUNCT__ "MatDestroy_SeqAIJ"
1107 PetscErrorCode MatDestroy_SeqAIJ(Mat A)
1108 {
1109   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1110   PetscErrorCode ierr;
1111 
1112   PetscFunctionBegin;
1113 #if defined(PETSC_USE_LOG)
1114   PetscLogObjectState((PetscObject)A,"Rows=%D, Cols=%D, NZ=%D",A->rmap->n,A->cmap->n,a->nz);
1115 #endif
1116   ierr = MatSeqXAIJFreeAIJ(A,&a->a,&a->j,&a->i);CHKERRQ(ierr);
1117   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
1118   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
1119   ierr = PetscFree(a->diag);CHKERRQ(ierr);
1120   ierr = PetscFree(a->ibdiag);CHKERRQ(ierr);
1121   ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);
1122   ierr = PetscFree3(a->idiag,a->mdiag,a->ssor_work);CHKERRQ(ierr);
1123   ierr = PetscFree(a->solve_work);CHKERRQ(ierr);
1124   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
1125   ierr = PetscFree(a->saved_values);CHKERRQ(ierr);
1126   ierr = ISColoringDestroy(&a->coloring);CHKERRQ(ierr);
1127   ierr = PetscFree(a->xtoy);CHKERRQ(ierr);
1128   ierr = MatDestroy(&a->XtoY);CHKERRQ(ierr);
1129   ierr = PetscFree2(a->compressedrow.i,a->compressedrow.rindex);CHKERRQ(ierr);
1130   ierr = PetscFree(a->matmult_abdense);CHKERRQ(ierr);
1131 
1132   ierr = MatDestroy_SeqAIJ_Inode(A);CHKERRQ(ierr);
1133   ierr = PetscFree(A->data);CHKERRQ(ierr);
1134 
1135   ierr = PetscObjectChangeTypeName((PetscObject)A,0);CHKERRQ(ierr);
1136   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetColumnIndices_C",NULL);CHKERRQ(ierr);
1137   ierr = PetscObjectComposeFunction((PetscObject)A,"MatStoreValues_C",NULL);CHKERRQ(ierr);
1138   ierr = PetscObjectComposeFunction((PetscObject)A,"MatRetrieveValues_C",NULL);CHKERRQ(ierr);
1139   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqsbaij_C",NULL);CHKERRQ(ierr);
1140   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqbaij_C",NULL);CHKERRQ(ierr);
1141   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqaijperm_C",NULL);CHKERRQ(ierr);
1142   ierr = PetscObjectComposeFunction((PetscObject)A,"MatIsTranspose_C",NULL);CHKERRQ(ierr);
1143   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetPreallocation_C",NULL);CHKERRQ(ierr);
1144   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetPreallocationCSR_C",NULL);CHKERRQ(ierr);
1145   ierr = PetscObjectComposeFunction((PetscObject)A,"MatReorderForNonzeroDiagonal_C",NULL);CHKERRQ(ierr);
1146   PetscFunctionReturn(0);
1147 }
1148 
1149 #undef __FUNCT__
1150 #define __FUNCT__ "MatSetOption_SeqAIJ"
1151 PetscErrorCode MatSetOption_SeqAIJ(Mat A,MatOption op,PetscBool flg)
1152 {
1153   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1154   PetscErrorCode ierr;
1155 
1156   PetscFunctionBegin;
1157   switch (op) {
1158   case MAT_ROW_ORIENTED:
1159     a->roworiented = flg;
1160     break;
1161   case MAT_KEEP_NONZERO_PATTERN:
1162     a->keepnonzeropattern = flg;
1163     break;
1164   case MAT_NEW_NONZERO_LOCATIONS:
1165     a->nonew = (flg ? 0 : 1);
1166     break;
1167   case MAT_NEW_NONZERO_LOCATION_ERR:
1168     a->nonew = (flg ? -1 : 0);
1169     break;
1170   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1171     a->nonew = (flg ? -2 : 0);
1172     break;
1173   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1174     a->nounused = (flg ? -1 : 0);
1175     break;
1176   case MAT_IGNORE_ZERO_ENTRIES:
1177     a->ignorezeroentries = flg;
1178     break;
1179   case MAT_SPD:
1180   case MAT_SYMMETRIC:
1181   case MAT_STRUCTURALLY_SYMMETRIC:
1182   case MAT_HERMITIAN:
1183   case MAT_SYMMETRY_ETERNAL:
1184     /* These options are handled directly by MatSetOption() */
1185     break;
1186   case MAT_NEW_DIAGONALS:
1187   case MAT_IGNORE_OFF_PROC_ENTRIES:
1188   case MAT_USE_HASH_TABLE:
1189     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1190     break;
1191   case MAT_USE_INODES:
1192     /* Not an error because MatSetOption_SeqAIJ_Inode handles this one */
1193     break;
1194   default:
1195     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
1196   }
1197   ierr = MatSetOption_SeqAIJ_Inode(A,op,flg);CHKERRQ(ierr);
1198   PetscFunctionReturn(0);
1199 }
1200 
1201 #undef __FUNCT__
1202 #define __FUNCT__ "MatGetDiagonal_SeqAIJ"
1203 PetscErrorCode MatGetDiagonal_SeqAIJ(Mat A,Vec v)
1204 {
1205   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1206   PetscErrorCode ierr;
1207   PetscInt       i,j,n,*ai=a->i,*aj=a->j,nz;
1208   PetscScalar    *aa=a->a,*x,zero=0.0;
1209 
1210   PetscFunctionBegin;
1211   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
1212   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
1213 
1214   if (A->factortype == MAT_FACTOR_ILU || A->factortype == MAT_FACTOR_LU) {
1215     PetscInt *diag=a->diag;
1216     ierr = VecGetArray(v,&x);CHKERRQ(ierr);
1217     for (i=0; i<n; i++) x[i] = 1.0/aa[diag[i]];
1218     ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
1219     PetscFunctionReturn(0);
1220   }
1221 
1222   ierr = VecSet(v,zero);CHKERRQ(ierr);
1223   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
1224   for (i=0; i<n; i++) {
1225     nz = ai[i+1] - ai[i];
1226     if (!nz) x[i] = 0.0;
1227     for (j=ai[i]; j<ai[i+1]; j++) {
1228       if (aj[j] == i) {
1229         x[i] = aa[j];
1230         break;
1231       }
1232     }
1233   }
1234   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
1235   PetscFunctionReturn(0);
1236 }
1237 
1238 #include <../src/mat/impls/aij/seq/ftn-kernels/fmult.h>
1239 #undef __FUNCT__
1240 #define __FUNCT__ "MatMultTransposeAdd_SeqAIJ"
1241 PetscErrorCode MatMultTransposeAdd_SeqAIJ(Mat A,Vec xx,Vec zz,Vec yy)
1242 {
1243   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1244   PetscScalar    *x,*y;
1245   PetscErrorCode ierr;
1246   PetscInt       m = A->rmap->n;
1247 #if !defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
1248   MatScalar         *v;
1249   PetscScalar       alpha;
1250   PetscInt          n,i,j,*idx,*ii,*ridx=NULL;
1251   Mat_CompressedRow cprow    = a->compressedrow;
1252   PetscBool         usecprow = cprow.use;
1253 #endif
1254 
1255   PetscFunctionBegin;
1256   if (zz != yy) {ierr = VecCopy(zz,yy);CHKERRQ(ierr);}
1257   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1258   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1259 
1260 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
1261   fortranmulttransposeaddaij_(&m,x,a->i,a->j,a->a,y);
1262 #else
1263   if (usecprow) {
1264     m    = cprow.nrows;
1265     ii   = cprow.i;
1266     ridx = cprow.rindex;
1267   } else {
1268     ii = a->i;
1269   }
1270   for (i=0; i<m; i++) {
1271     idx = a->j + ii[i];
1272     v   = a->a + ii[i];
1273     n   = ii[i+1] - ii[i];
1274     if (usecprow) {
1275       alpha = x[ridx[i]];
1276     } else {
1277       alpha = x[i];
1278     }
1279     for (j=0; j<n; j++) y[idx[j]] += alpha*v[j];
1280   }
1281 #endif
1282   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1283   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1284   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1285   PetscFunctionReturn(0);
1286 }
1287 
1288 #undef __FUNCT__
1289 #define __FUNCT__ "MatMultTranspose_SeqAIJ"
1290 PetscErrorCode MatMultTranspose_SeqAIJ(Mat A,Vec xx,Vec yy)
1291 {
1292   PetscErrorCode ierr;
1293 
1294   PetscFunctionBegin;
1295   ierr = VecSet(yy,0.0);CHKERRQ(ierr);
1296   ierr = MatMultTransposeAdd_SeqAIJ(A,xx,yy,yy);CHKERRQ(ierr);
1297   PetscFunctionReturn(0);
1298 }
1299 
1300 #include <../src/mat/impls/aij/seq/ftn-kernels/fmult.h>
1301 #if defined(PETSC_THREADCOMM_ACTIVE)
1302 PetscErrorCode MatMult_SeqAIJ_Kernel(PetscInt thread_id,Mat A,Vec xx,Vec yy)
1303 {
1304   PetscErrorCode    ierr;
1305   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1306   PetscScalar       *y;
1307   const PetscScalar *x;
1308   const MatScalar   *aa;
1309   PetscInt          *trstarts=A->rmap->trstarts;
1310   PetscInt          n,start,end,i;
1311   const PetscInt    *aj,*ai;
1312   PetscScalar       sum;
1313 
1314   ierr  = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1315   ierr  = VecGetArray(yy,&y);CHKERRQ(ierr);
1316   start = trstarts[thread_id];
1317   end   = trstarts[thread_id+1];
1318   aj    = a->j;
1319   aa    = a->a;
1320   ai    = a->i;
1321   for (i=start; i<end; i++) {
1322     n   = ai[i+1] - ai[i];
1323     aj  = a->j + ai[i];
1324     aa  = a->a + ai[i];
1325     sum = 0.0;
1326     PetscSparseDensePlusDot(sum,x,aa,aj,n);
1327     y[i] = sum;
1328   }
1329   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1330   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1331   return 0;
1332 }
1333 
1334 #undef __FUNCT__
1335 #define __FUNCT__ "MatMult_SeqAIJ"
1336 PetscErrorCode MatMult_SeqAIJ(Mat A,Vec xx,Vec yy)
1337 {
1338   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1339   PetscScalar       *y;
1340   const PetscScalar *x;
1341   const MatScalar   *aa;
1342   PetscErrorCode    ierr;
1343   PetscInt          m=A->rmap->n;
1344   const PetscInt    *aj,*ii,*ridx=NULL;
1345   PetscInt          n,i;
1346   PetscScalar       sum;
1347   PetscBool         usecprow=a->compressedrow.use;
1348 
1349 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
1350 #pragma disjoint(*x,*y,*aa)
1351 #endif
1352 
1353   PetscFunctionBegin;
1354   aj = a->j;
1355   aa = a->a;
1356   ii = a->i;
1357   if (usecprow) { /* use compressed row format */
1358     ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1359     ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1360     m    = a->compressedrow.nrows;
1361     ii   = a->compressedrow.i;
1362     ridx = a->compressedrow.rindex;
1363     for (i=0; i<m; i++) {
1364       n           = ii[i+1] - ii[i];
1365       aj          = a->j + ii[i];
1366       aa          = a->a + ii[i];
1367       sum         = 0.0;
1368       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1369       /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */
1370       y[*ridx++] = sum;
1371     }
1372     ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1373     ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1374   } else { /* do not use compressed row format */
1375 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTAIJ)
1376     fortranmultaij_(&m,x,ii,aj,aa,y);
1377 #else
1378     ierr = PetscThreadCommRunKernel(PetscObjectComm((PetscObject)A),(PetscThreadKernel)MatMult_SeqAIJ_Kernel,3,A,xx,yy);CHKERRQ(ierr);
1379 #endif
1380   }
1381   ierr = PetscLogFlops(2.0*a->nz - a->nonzerorowcnt);CHKERRQ(ierr);
1382   PetscFunctionReturn(0);
1383 }
1384 #else
1385 #undef __FUNCT__
1386 #define __FUNCT__ "MatMult_SeqAIJ"
1387 PetscErrorCode MatMult_SeqAIJ(Mat A,Vec xx,Vec yy)
1388 {
1389   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1390   PetscScalar       *y;
1391   const PetscScalar *x;
1392   const MatScalar   *aa;
1393   PetscErrorCode    ierr;
1394   PetscInt          m=A->rmap->n;
1395   const PetscInt    *aj,*ii,*ridx=NULL;
1396   PetscInt          n,i;
1397   PetscScalar       sum;
1398   PetscBool         usecprow=a->compressedrow.use;
1399 
1400 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
1401 #pragma disjoint(*x,*y,*aa)
1402 #endif
1403 
1404   PetscFunctionBegin;
1405   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1406   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1407   aj   = a->j;
1408   aa   = a->a;
1409   ii   = a->i;
1410   if (usecprow) { /* use compressed row format */
1411     m    = a->compressedrow.nrows;
1412     ii   = a->compressedrow.i;
1413     ridx = a->compressedrow.rindex;
1414     for (i=0; i<m; i++) {
1415       n           = ii[i+1] - ii[i];
1416       aj          = a->j + ii[i];
1417       aa          = a->a + ii[i];
1418       sum         = 0.0;
1419       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1420       /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */
1421       y[*ridx++] = sum;
1422     }
1423   } else { /* do not use compressed row format */
1424 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTAIJ)
1425     fortranmultaij_(&m,x,ii,aj,aa,y);
1426 #else
1427 #if defined(PETSC_THREADCOMM_ACTIVE)
1428     ierr = PetscThreadCommRunKernel(PetscObjectComm((PetscObject)A),(PetscThreadKernel)MatMult_SeqAIJ_Kernel,3,A,xx,yy);CHKERRQ(ierr);
1429 #else
1430     for (i=0; i<m; i++) {
1431       n           = ii[i+1] - ii[i];
1432       aj          = a->j + ii[i];
1433       aa          = a->a + ii[i];
1434       sum         = 0.0;
1435       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1436       y[i] = sum;
1437     }
1438 #endif
1439 #endif
1440   }
1441   ierr = PetscLogFlops(2.0*a->nz - a->nonzerorowcnt);CHKERRQ(ierr);
1442   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1443   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1444   PetscFunctionReturn(0);
1445 }
1446 #endif
1447 
1448 #undef __FUNCT__
1449 #define __FUNCT__ "MatMultMax_SeqAIJ"
1450 PetscErrorCode MatMultMax_SeqAIJ(Mat A,Vec xx,Vec yy)
1451 {
1452   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1453   PetscScalar       *y;
1454   const PetscScalar *x;
1455   const MatScalar   *aa;
1456   PetscErrorCode    ierr;
1457   PetscInt          m=A->rmap->n;
1458   const PetscInt    *aj,*ii,*ridx=NULL;
1459   PetscInt          n,i,nonzerorow=0;
1460   PetscScalar       sum;
1461   PetscBool         usecprow=a->compressedrow.use;
1462 
1463 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
1464 #pragma disjoint(*x,*y,*aa)
1465 #endif
1466 
1467   PetscFunctionBegin;
1468   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1469   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1470   aj   = a->j;
1471   aa   = a->a;
1472   ii   = a->i;
1473   if (usecprow) { /* use compressed row format */
1474     m    = a->compressedrow.nrows;
1475     ii   = a->compressedrow.i;
1476     ridx = a->compressedrow.rindex;
1477     for (i=0; i<m; i++) {
1478       n           = ii[i+1] - ii[i];
1479       aj          = a->j + ii[i];
1480       aa          = a->a + ii[i];
1481       sum         = 0.0;
1482       nonzerorow += (n>0);
1483       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1484       /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */
1485       y[*ridx++] = sum;
1486     }
1487   } else { /* do not use compressed row format */
1488     for (i=0; i<m; i++) {
1489       n           = ii[i+1] - ii[i];
1490       aj          = a->j + ii[i];
1491       aa          = a->a + ii[i];
1492       sum         = 0.0;
1493       nonzerorow += (n>0);
1494       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1495       y[i] = sum;
1496     }
1497   }
1498   ierr = PetscLogFlops(2.0*a->nz - nonzerorow);CHKERRQ(ierr);
1499   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1500   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1501   PetscFunctionReturn(0);
1502 }
1503 
1504 #undef __FUNCT__
1505 #define __FUNCT__ "MatMultAddMax_SeqAIJ"
1506 PetscErrorCode MatMultAddMax_SeqAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1507 {
1508   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1509   PetscScalar       *y,*z;
1510   const PetscScalar *x;
1511   const MatScalar   *aa;
1512   PetscErrorCode    ierr;
1513   PetscInt          m = A->rmap->n,*aj,*ii;
1514   PetscInt          n,i,*ridx=NULL;
1515   PetscScalar       sum;
1516   PetscBool         usecprow=a->compressedrow.use;
1517 
1518   PetscFunctionBegin;
1519   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1520   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1521   if (zz != yy) {
1522     ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
1523   } else {
1524     z = y;
1525   }
1526 
1527   aj = a->j;
1528   aa = a->a;
1529   ii = a->i;
1530   if (usecprow) { /* use compressed row format */
1531     if (zz != yy) {
1532       ierr = PetscMemcpy(z,y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1533     }
1534     m    = a->compressedrow.nrows;
1535     ii   = a->compressedrow.i;
1536     ridx = a->compressedrow.rindex;
1537     for (i=0; i<m; i++) {
1538       n   = ii[i+1] - ii[i];
1539       aj  = a->j + ii[i];
1540       aa  = a->a + ii[i];
1541       sum = y[*ridx];
1542       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1543       z[*ridx++] = sum;
1544     }
1545   } else { /* do not use compressed row format */
1546     for (i=0; i<m; i++) {
1547       n   = ii[i+1] - ii[i];
1548       aj  = a->j + ii[i];
1549       aa  = a->a + ii[i];
1550       sum = y[i];
1551       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1552       z[i] = sum;
1553     }
1554   }
1555   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1556   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1557   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1558   if (zz != yy) {
1559     ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
1560   }
1561   PetscFunctionReturn(0);
1562 }
1563 
1564 #include <../src/mat/impls/aij/seq/ftn-kernels/fmultadd.h>
1565 #undef __FUNCT__
1566 #define __FUNCT__ "MatMultAdd_SeqAIJ"
1567 PetscErrorCode MatMultAdd_SeqAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1568 {
1569   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1570   PetscScalar       *y,*z;
1571   const PetscScalar *x;
1572   const MatScalar   *aa;
1573   PetscErrorCode    ierr;
1574   PetscInt          m = A->rmap->n,*aj,*ii;
1575   PetscInt          n,i,*ridx=NULL;
1576   PetscScalar       sum;
1577   PetscBool         usecprow=a->compressedrow.use;
1578 
1579   PetscFunctionBegin;
1580   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1581   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1582   if (zz != yy) {
1583     ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
1584   } else {
1585     z = y;
1586   }
1587 
1588   aj = a->j;
1589   aa = a->a;
1590   ii = a->i;
1591   if (usecprow) { /* use compressed row format */
1592     if (zz != yy) {
1593       ierr = PetscMemcpy(z,y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1594     }
1595     m    = a->compressedrow.nrows;
1596     ii   = a->compressedrow.i;
1597     ridx = a->compressedrow.rindex;
1598     for (i=0; i<m; i++) {
1599       n   = ii[i+1] - ii[i];
1600       aj  = a->j + ii[i];
1601       aa  = a->a + ii[i];
1602       sum = y[*ridx];
1603       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1604       z[*ridx++] = sum;
1605     }
1606   } else { /* do not use compressed row format */
1607 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTADDAIJ)
1608     fortranmultaddaij_(&m,x,ii,aj,aa,y,z);
1609 #else
1610     for (i=0; i<m; i++) {
1611       n   = ii[i+1] - ii[i];
1612       aj  = a->j + ii[i];
1613       aa  = a->a + ii[i];
1614       sum = y[i];
1615       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1616       z[i] = sum;
1617     }
1618 #endif
1619   }
1620   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1621   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1622   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1623   if (zz != yy) {
1624     ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
1625   }
1626 #if defined(PETSC_HAVE_CUSP)
1627   /*
1628   ierr = VecView(xx,0);CHKERRQ(ierr);
1629   ierr = VecView(zz,0);CHKERRQ(ierr);
1630   ierr = MatView(A,0);CHKERRQ(ierr);
1631   */
1632 #endif
1633   PetscFunctionReturn(0);
1634 }
1635 
1636 /*
1637      Adds diagonal pointers to sparse matrix structure.
1638 */
1639 #undef __FUNCT__
1640 #define __FUNCT__ "MatMarkDiagonal_SeqAIJ"
1641 PetscErrorCode MatMarkDiagonal_SeqAIJ(Mat A)
1642 {
1643   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1644   PetscErrorCode ierr;
1645   PetscInt       i,j,m = A->rmap->n;
1646 
1647   PetscFunctionBegin;
1648   if (!a->diag) {
1649     ierr = PetscMalloc1(m,&a->diag);CHKERRQ(ierr);
1650     ierr = PetscLogObjectMemory((PetscObject)A, m*sizeof(PetscInt));CHKERRQ(ierr);
1651   }
1652   for (i=0; i<A->rmap->n; i++) {
1653     a->diag[i] = a->i[i+1];
1654     for (j=a->i[i]; j<a->i[i+1]; j++) {
1655       if (a->j[j] == i) {
1656         a->diag[i] = j;
1657         break;
1658       }
1659     }
1660   }
1661   PetscFunctionReturn(0);
1662 }
1663 
1664 /*
1665      Checks for missing diagonals
1666 */
1667 #undef __FUNCT__
1668 #define __FUNCT__ "MatMissingDiagonal_SeqAIJ"
1669 PetscErrorCode MatMissingDiagonal_SeqAIJ(Mat A,PetscBool  *missing,PetscInt *d)
1670 {
1671   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1672   PetscInt   *diag,*jj = a->j,i;
1673 
1674   PetscFunctionBegin;
1675   *missing = PETSC_FALSE;
1676   if (A->rmap->n > 0 && !jj) {
1677     *missing = PETSC_TRUE;
1678     if (d) *d = 0;
1679     PetscInfo(A,"Matrix has no entries therefore is missing diagonal");
1680   } else {
1681     diag = a->diag;
1682     for (i=0; i<A->rmap->n; i++) {
1683       if (jj[diag[i]] != i) {
1684         *missing = PETSC_TRUE;
1685         if (d) *d = i;
1686         PetscInfo1(A,"Matrix is missing diagonal number %D",i);
1687         break;
1688       }
1689     }
1690   }
1691   PetscFunctionReturn(0);
1692 }
1693 
1694 #undef __FUNCT__
1695 #define __FUNCT__ "MatInvertDiagonal_SeqAIJ"
1696 PetscErrorCode  MatInvertDiagonal_SeqAIJ(Mat A,PetscScalar omega,PetscScalar fshift)
1697 {
1698   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
1699   PetscErrorCode ierr;
1700   PetscInt       i,*diag,m = A->rmap->n;
1701   MatScalar      *v = a->a;
1702   PetscScalar    *idiag,*mdiag;
1703 
1704   PetscFunctionBegin;
1705   if (a->idiagvalid) PetscFunctionReturn(0);
1706   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1707   diag = a->diag;
1708   if (!a->idiag) {
1709     ierr = PetscMalloc3(m,&a->idiag,m,&a->mdiag,m,&a->ssor_work);CHKERRQ(ierr);
1710     ierr = PetscLogObjectMemory((PetscObject)A, 3*m*sizeof(PetscScalar));CHKERRQ(ierr);
1711     v    = a->a;
1712   }
1713   mdiag = a->mdiag;
1714   idiag = a->idiag;
1715 
1716   if (omega == 1.0 && !PetscAbsScalar(fshift)) {
1717     for (i=0; i<m; i++) {
1718       mdiag[i] = v[diag[i]];
1719       if (!PetscAbsScalar(mdiag[i])) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Zero diagonal on row %D",i);
1720       idiag[i] = 1.0/v[diag[i]];
1721     }
1722     ierr = PetscLogFlops(m);CHKERRQ(ierr);
1723   } else {
1724     for (i=0; i<m; i++) {
1725       mdiag[i] = v[diag[i]];
1726       idiag[i] = omega/(fshift + v[diag[i]]);
1727     }
1728     ierr = PetscLogFlops(2.0*m);CHKERRQ(ierr);
1729   }
1730   a->idiagvalid = PETSC_TRUE;
1731   PetscFunctionReturn(0);
1732 }
1733 
1734 #include <../src/mat/impls/aij/seq/ftn-kernels/frelax.h>
1735 #undef __FUNCT__
1736 #define __FUNCT__ "MatSOR_SeqAIJ"
1737 PetscErrorCode MatSOR_SeqAIJ(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
1738 {
1739   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1740   PetscScalar       *x,d,sum,*t,scale;
1741   const MatScalar   *v = a->a,*idiag=0,*mdiag;
1742   const PetscScalar *b, *bs,*xb, *ts;
1743   PetscErrorCode    ierr;
1744   PetscInt          n = A->cmap->n,m = A->rmap->n,i;
1745   const PetscInt    *idx,*diag;
1746 
1747   PetscFunctionBegin;
1748   its = its*lits;
1749 
1750   if (fshift != a->fshift || omega != a->omega) a->idiagvalid = PETSC_FALSE; /* must recompute idiag[] */
1751   if (!a->idiagvalid) {ierr = MatInvertDiagonal_SeqAIJ(A,omega,fshift);CHKERRQ(ierr);}
1752   a->fshift = fshift;
1753   a->omega  = omega;
1754 
1755   diag  = a->diag;
1756   t     = a->ssor_work;
1757   idiag = a->idiag;
1758   mdiag = a->mdiag;
1759 
1760   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1761   ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
1762   /* We count flops by assuming the upper triangular and lower triangular parts have the same number of nonzeros */
1763   if (flag == SOR_APPLY_UPPER) {
1764     /* apply (U + D/omega) to the vector */
1765     bs = b;
1766     for (i=0; i<m; i++) {
1767       d   = fshift + mdiag[i];
1768       n   = a->i[i+1] - diag[i] - 1;
1769       idx = a->j + diag[i] + 1;
1770       v   = a->a + diag[i] + 1;
1771       sum = b[i]*d/omega;
1772       PetscSparseDensePlusDot(sum,bs,v,idx,n);
1773       x[i] = sum;
1774     }
1775     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1776     ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1777     ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1778     PetscFunctionReturn(0);
1779   }
1780 
1781   if (flag == SOR_APPLY_LOWER) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SOR_APPLY_LOWER is not implemented");
1782   else if (flag & SOR_EISENSTAT) {
1783     /* Let  A = L + U + D; where L is lower trianglar,
1784     U is upper triangular, E = D/omega; This routine applies
1785 
1786             (L + E)^{-1} A (U + E)^{-1}
1787 
1788     to a vector efficiently using Eisenstat's trick.
1789     */
1790     scale = (2.0/omega) - 1.0;
1791 
1792     /*  x = (E + U)^{-1} b */
1793     for (i=m-1; i>=0; i--) {
1794       n   = a->i[i+1] - diag[i] - 1;
1795       idx = a->j + diag[i] + 1;
1796       v   = a->a + diag[i] + 1;
1797       sum = b[i];
1798       PetscSparseDenseMinusDot(sum,x,v,idx,n);
1799       x[i] = sum*idiag[i];
1800     }
1801 
1802     /*  t = b - (2*E - D)x */
1803     v = a->a;
1804     for (i=0; i<m; i++) t[i] = b[i] - scale*(v[*diag++])*x[i];
1805 
1806     /*  t = (E + L)^{-1}t */
1807     ts   = t;
1808     diag = a->diag;
1809     for (i=0; i<m; i++) {
1810       n   = diag[i] - a->i[i];
1811       idx = a->j + a->i[i];
1812       v   = a->a + a->i[i];
1813       sum = t[i];
1814       PetscSparseDenseMinusDot(sum,ts,v,idx,n);
1815       t[i] = sum*idiag[i];
1816       /*  x = x + t */
1817       x[i] += t[i];
1818     }
1819 
1820     ierr = PetscLogFlops(6.0*m-1 + 2.0*a->nz);CHKERRQ(ierr);
1821     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1822     ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1823     PetscFunctionReturn(0);
1824   }
1825   if (flag & SOR_ZERO_INITIAL_GUESS) {
1826     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
1827       for (i=0; i<m; i++) {
1828         n   = diag[i] - a->i[i];
1829         idx = a->j + a->i[i];
1830         v   = a->a + a->i[i];
1831         sum = b[i];
1832         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1833         t[i] = sum;
1834         x[i] = sum*idiag[i];
1835       }
1836       xb   = t;
1837       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1838     } else xb = b;
1839     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
1840       for (i=m-1; i>=0; i--) {
1841         n   = a->i[i+1] - diag[i] - 1;
1842         idx = a->j + diag[i] + 1;
1843         v   = a->a + diag[i] + 1;
1844         sum = xb[i];
1845         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1846         if (xb == b) {
1847           x[i] = sum*idiag[i];
1848         } else {
1849           x[i] = (1-omega)*x[i] + sum*idiag[i];  /* omega in idiag */
1850         }
1851       }
1852       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr); /* assumes 1/2 in upper */
1853     }
1854     its--;
1855   }
1856   while (its--) {
1857     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
1858       for (i=0; i<m; i++) {
1859         /* lower */
1860         n   = diag[i] - a->i[i];
1861         idx = a->j + a->i[i];
1862         v   = a->a + a->i[i];
1863         sum = b[i];
1864         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1865         t[i] = sum;             /* save application of the lower-triangular part */
1866         /* upper */
1867         n   = a->i[i+1] - diag[i] - 1;
1868         idx = a->j + diag[i] + 1;
1869         v   = a->a + diag[i] + 1;
1870         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1871         x[i] = (1. - omega)*x[i] + sum*idiag[i]; /* omega in idiag */
1872       }
1873       xb   = t;
1874       ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1875     } else xb = b;
1876     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
1877       for (i=m-1; i>=0; i--) {
1878         sum = xb[i];
1879         if (xb == b) {
1880           /* whole matrix (no checkpointing available) */
1881           n   = a->i[i+1] - a->i[i];
1882           idx = a->j + a->i[i];
1883           v   = a->a + a->i[i];
1884           PetscSparseDenseMinusDot(sum,x,v,idx,n);
1885           x[i] = (1. - omega)*x[i] + (sum + mdiag[i]*x[i])*idiag[i];
1886         } else { /* lower-triangular part has been saved, so only apply upper-triangular */
1887           n   = a->i[i+1] - diag[i] - 1;
1888           idx = a->j + diag[i] + 1;
1889           v   = a->a + diag[i] + 1;
1890           PetscSparseDenseMinusDot(sum,x,v,idx,n);
1891           x[i] = (1. - omega)*x[i] + sum*idiag[i];  /* omega in idiag */
1892         }
1893       }
1894       if (xb == b) {
1895         ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1896       } else {
1897         ierr = PetscLogFlops(a->nz);CHKERRQ(ierr); /* assumes 1/2 in upper */
1898       }
1899     }
1900   }
1901   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1902   ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1903   PetscFunctionReturn(0);
1904 }
1905 
1906 
1907 #undef __FUNCT__
1908 #define __FUNCT__ "MatGetInfo_SeqAIJ"
1909 PetscErrorCode MatGetInfo_SeqAIJ(Mat A,MatInfoType flag,MatInfo *info)
1910 {
1911   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1912 
1913   PetscFunctionBegin;
1914   info->block_size   = 1.0;
1915   info->nz_allocated = (double)a->maxnz;
1916   info->nz_used      = (double)a->nz;
1917   info->nz_unneeded  = (double)(a->maxnz - a->nz);
1918   info->assemblies   = (double)A->num_ass;
1919   info->mallocs      = (double)A->info.mallocs;
1920   info->memory       = ((PetscObject)A)->mem;
1921   if (A->factortype) {
1922     info->fill_ratio_given  = A->info.fill_ratio_given;
1923     info->fill_ratio_needed = A->info.fill_ratio_needed;
1924     info->factor_mallocs    = A->info.factor_mallocs;
1925   } else {
1926     info->fill_ratio_given  = 0;
1927     info->fill_ratio_needed = 0;
1928     info->factor_mallocs    = 0;
1929   }
1930   PetscFunctionReturn(0);
1931 }
1932 
1933 #undef __FUNCT__
1934 #define __FUNCT__ "MatZeroRows_SeqAIJ"
1935 PetscErrorCode MatZeroRows_SeqAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1936 {
1937   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1938   PetscInt          i,m = A->rmap->n - 1,d = 0;
1939   PetscErrorCode    ierr;
1940   const PetscScalar *xx;
1941   PetscScalar       *bb;
1942   PetscBool         missing;
1943 
1944   PetscFunctionBegin;
1945   if (x && b) {
1946     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1947     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1948     for (i=0; i<N; i++) {
1949       if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1950       bb[rows[i]] = diag*xx[rows[i]];
1951     }
1952     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1953     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1954   }
1955 
1956   if (a->keepnonzeropattern) {
1957     for (i=0; i<N; i++) {
1958       if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1959       ierr = PetscMemzero(&a->a[a->i[rows[i]]],a->ilen[rows[i]]*sizeof(PetscScalar));CHKERRQ(ierr);
1960     }
1961     if (diag != 0.0) {
1962       ierr = MatMissingDiagonal_SeqAIJ(A,&missing,&d);CHKERRQ(ierr);
1963       if (missing) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Matrix is missing diagonal entry in row %D",d);
1964       for (i=0; i<N; i++) {
1965         a->a[a->diag[rows[i]]] = diag;
1966       }
1967     }
1968   } else {
1969     if (diag != 0.0) {
1970       for (i=0; i<N; i++) {
1971         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1972         if (a->ilen[rows[i]] > 0) {
1973           a->ilen[rows[i]]    = 1;
1974           a->a[a->i[rows[i]]] = diag;
1975           a->j[a->i[rows[i]]] = rows[i];
1976         } else { /* in case row was completely empty */
1977           ierr = MatSetValues_SeqAIJ(A,1,&rows[i],1,&rows[i],&diag,INSERT_VALUES);CHKERRQ(ierr);
1978         }
1979       }
1980     } else {
1981       for (i=0; i<N; i++) {
1982         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1983         a->ilen[rows[i]] = 0;
1984       }
1985     }
1986     A->nonzerostate++;
1987   }
1988   ierr = MatAssemblyEnd_SeqAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1989   PetscFunctionReturn(0);
1990 }
1991 
1992 #undef __FUNCT__
1993 #define __FUNCT__ "MatZeroRowsColumns_SeqAIJ"
1994 PetscErrorCode MatZeroRowsColumns_SeqAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1995 {
1996   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1997   PetscInt          i,j,m = A->rmap->n - 1,d = 0;
1998   PetscErrorCode    ierr;
1999   PetscBool         missing,*zeroed,vecs = PETSC_FALSE;
2000   const PetscScalar *xx;
2001   PetscScalar       *bb;
2002 
2003   PetscFunctionBegin;
2004   if (x && b) {
2005     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
2006     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
2007     vecs = PETSC_TRUE;
2008   }
2009   ierr = PetscCalloc1(A->rmap->n,&zeroed);CHKERRQ(ierr);
2010   for (i=0; i<N; i++) {
2011     if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
2012     ierr = PetscMemzero(&a->a[a->i[rows[i]]],a->ilen[rows[i]]*sizeof(PetscScalar));CHKERRQ(ierr);
2013 
2014     zeroed[rows[i]] = PETSC_TRUE;
2015   }
2016   for (i=0; i<A->rmap->n; i++) {
2017     if (!zeroed[i]) {
2018       for (j=a->i[i]; j<a->i[i+1]; j++) {
2019         if (zeroed[a->j[j]]) {
2020           if (vecs) bb[i] -= a->a[j]*xx[a->j[j]];
2021           a->a[j] = 0.0;
2022         }
2023       }
2024     } else if (vecs) bb[i] = diag*xx[i];
2025   }
2026   if (x && b) {
2027     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
2028     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
2029   }
2030   ierr = PetscFree(zeroed);CHKERRQ(ierr);
2031   if (diag != 0.0) {
2032     ierr = MatMissingDiagonal_SeqAIJ(A,&missing,&d);CHKERRQ(ierr);
2033     if (missing) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Matrix is missing diagonal entry in row %D",d);
2034     for (i=0; i<N; i++) {
2035       a->a[a->diag[rows[i]]] = diag;
2036     }
2037   }
2038   ierr = MatAssemblyEnd_SeqAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2039   PetscFunctionReturn(0);
2040 }
2041 
2042 #undef __FUNCT__
2043 #define __FUNCT__ "MatGetRow_SeqAIJ"
2044 PetscErrorCode MatGetRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
2045 {
2046   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2047   PetscInt   *itmp;
2048 
2049   PetscFunctionBegin;
2050   if (row < 0 || row >= A->rmap->n) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row %D out of range",row);
2051 
2052   *nz = a->i[row+1] - a->i[row];
2053   if (v) *v = a->a + a->i[row];
2054   if (idx) {
2055     itmp = a->j + a->i[row];
2056     if (*nz) *idx = itmp;
2057     else *idx = 0;
2058   }
2059   PetscFunctionReturn(0);
2060 }
2061 
2062 /* remove this function? */
2063 #undef __FUNCT__
2064 #define __FUNCT__ "MatRestoreRow_SeqAIJ"
2065 PetscErrorCode MatRestoreRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
2066 {
2067   PetscFunctionBegin;
2068   PetscFunctionReturn(0);
2069 }
2070 
2071 #undef __FUNCT__
2072 #define __FUNCT__ "MatNorm_SeqAIJ"
2073 PetscErrorCode MatNorm_SeqAIJ(Mat A,NormType type,PetscReal *nrm)
2074 {
2075   Mat_SeqAIJ     *a  = (Mat_SeqAIJ*)A->data;
2076   MatScalar      *v  = a->a;
2077   PetscReal      sum = 0.0;
2078   PetscErrorCode ierr;
2079   PetscInt       i,j;
2080 
2081   PetscFunctionBegin;
2082   if (type == NORM_FROBENIUS) {
2083     for (i=0; i<a->nz; i++) {
2084       sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
2085     }
2086     *nrm = PetscSqrtReal(sum);
2087   } else if (type == NORM_1) {
2088     PetscReal *tmp;
2089     PetscInt  *jj = a->j;
2090     ierr = PetscCalloc1(A->cmap->n+1,&tmp);CHKERRQ(ierr);
2091     *nrm = 0.0;
2092     for (j=0; j<a->nz; j++) {
2093       tmp[*jj++] += PetscAbsScalar(*v);  v++;
2094     }
2095     for (j=0; j<A->cmap->n; j++) {
2096       if (tmp[j] > *nrm) *nrm = tmp[j];
2097     }
2098     ierr = PetscFree(tmp);CHKERRQ(ierr);
2099   } else if (type == NORM_INFINITY) {
2100     *nrm = 0.0;
2101     for (j=0; j<A->rmap->n; j++) {
2102       v   = a->a + a->i[j];
2103       sum = 0.0;
2104       for (i=0; i<a->i[j+1]-a->i[j]; i++) {
2105         sum += PetscAbsScalar(*v); v++;
2106       }
2107       if (sum > *nrm) *nrm = sum;
2108     }
2109   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for two norm");
2110   PetscFunctionReturn(0);
2111 }
2112 
2113 /* Merged from MatGetSymbolicTranspose_SeqAIJ() - replace MatGetSymbolicTranspose_SeqAIJ()? */
2114 #undef __FUNCT__
2115 #define __FUNCT__ "MatTransposeSymbolic_SeqAIJ"
2116 PetscErrorCode MatTransposeSymbolic_SeqAIJ(Mat A,Mat *B)
2117 {
2118   PetscErrorCode ierr;
2119   PetscInt       i,j,anzj;
2120   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data,*b;
2121   PetscInt       an=A->cmap->N,am=A->rmap->N;
2122   PetscInt       *ati,*atj,*atfill,*ai=a->i,*aj=a->j;
2123 
2124   PetscFunctionBegin;
2125   /* Allocate space for symbolic transpose info and work array */
2126   ierr = PetscCalloc1((an+1),&ati);CHKERRQ(ierr);
2127   ierr = PetscMalloc1(ai[am],&atj);CHKERRQ(ierr);
2128   ierr = PetscMalloc1(an,&atfill);CHKERRQ(ierr);
2129 
2130   /* Walk through aj and count ## of non-zeros in each row of A^T. */
2131   /* Note: offset by 1 for fast conversion into csr format. */
2132   for (i=0;i<ai[am];i++) ati[aj[i]+1] += 1;
2133   /* Form ati for csr format of A^T. */
2134   for (i=0;i<an;i++) ati[i+1] += ati[i];
2135 
2136   /* Copy ati into atfill so we have locations of the next free space in atj */
2137   ierr = PetscMemcpy(atfill,ati,an*sizeof(PetscInt));CHKERRQ(ierr);
2138 
2139   /* Walk through A row-wise and mark nonzero entries of A^T. */
2140   for (i=0;i<am;i++) {
2141     anzj = ai[i+1] - ai[i];
2142     for (j=0;j<anzj;j++) {
2143       atj[atfill[*aj]] = i;
2144       atfill[*aj++]   += 1;
2145     }
2146   }
2147 
2148   /* Clean up temporary space and complete requests. */
2149   ierr = PetscFree(atfill);CHKERRQ(ierr);
2150   ierr = MatCreateSeqAIJWithArrays(PetscObjectComm((PetscObject)A),an,am,ati,atj,NULL,B);CHKERRQ(ierr);
2151   ierr = MatSetBlockSizes(*B,PetscAbs(A->cmap->bs),PetscAbs(A->rmap->bs));CHKERRQ(ierr);
2152 
2153   b          = (Mat_SeqAIJ*)((*B)->data);
2154   b->free_a  = PETSC_FALSE;
2155   b->free_ij = PETSC_TRUE;
2156   b->nonew   = 0;
2157   PetscFunctionReturn(0);
2158 }
2159 
2160 #undef __FUNCT__
2161 #define __FUNCT__ "MatTranspose_SeqAIJ"
2162 PetscErrorCode MatTranspose_SeqAIJ(Mat A,MatReuse reuse,Mat *B)
2163 {
2164   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2165   Mat            C;
2166   PetscErrorCode ierr;
2167   PetscInt       i,*aj = a->j,*ai = a->i,m = A->rmap->n,len,*col;
2168   MatScalar      *array = a->a;
2169 
2170   PetscFunctionBegin;
2171   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");
2172 
2173   if (reuse == MAT_INITIAL_MATRIX || *B == A) {
2174     ierr = PetscCalloc1((1+A->cmap->n),&col);CHKERRQ(ierr);
2175 
2176     for (i=0; i<ai[m]; i++) col[aj[i]] += 1;
2177     ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2178     ierr = MatSetSizes(C,A->cmap->n,m,A->cmap->n,m);CHKERRQ(ierr);
2179     ierr = MatSetBlockSizes(C,PetscAbs(A->cmap->bs),PetscAbs(A->rmap->bs));CHKERRQ(ierr);
2180     ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2181     ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,col);CHKERRQ(ierr);
2182     ierr = PetscFree(col);CHKERRQ(ierr);
2183   } else {
2184     C = *B;
2185   }
2186 
2187   for (i=0; i<m; i++) {
2188     len    = ai[i+1]-ai[i];
2189     ierr   = MatSetValues_SeqAIJ(C,len,aj,1,&i,array,INSERT_VALUES);CHKERRQ(ierr);
2190     array += len;
2191     aj    += len;
2192   }
2193   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2194   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2195 
2196   if (reuse == MAT_INITIAL_MATRIX || *B != A) {
2197     *B = C;
2198   } else {
2199     ierr = MatHeaderMerge(A,C);CHKERRQ(ierr);
2200   }
2201   PetscFunctionReturn(0);
2202 }
2203 
2204 #undef __FUNCT__
2205 #define __FUNCT__ "MatIsTranspose_SeqAIJ"
2206 PetscErrorCode  MatIsTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
2207 {
2208   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) A->data,*bij = (Mat_SeqAIJ*) A->data;
2209   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr;
2210   MatScalar      *va,*vb;
2211   PetscErrorCode ierr;
2212   PetscInt       ma,na,mb,nb, i;
2213 
2214   PetscFunctionBegin;
2215   bij = (Mat_SeqAIJ*) B->data;
2216 
2217   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
2218   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
2219   if (ma!=nb || na!=mb) {
2220     *f = PETSC_FALSE;
2221     PetscFunctionReturn(0);
2222   }
2223   aii  = aij->i; bii = bij->i;
2224   adx  = aij->j; bdx = bij->j;
2225   va   = aij->a; vb = bij->a;
2226   ierr = PetscMalloc1(ma,&aptr);CHKERRQ(ierr);
2227   ierr = PetscMalloc1(mb,&bptr);CHKERRQ(ierr);
2228   for (i=0; i<ma; i++) aptr[i] = aii[i];
2229   for (i=0; i<mb; i++) bptr[i] = bii[i];
2230 
2231   *f = PETSC_TRUE;
2232   for (i=0; i<ma; i++) {
2233     while (aptr[i]<aii[i+1]) {
2234       PetscInt    idc,idr;
2235       PetscScalar vc,vr;
2236       /* column/row index/value */
2237       idc = adx[aptr[i]];
2238       idr = bdx[bptr[idc]];
2239       vc  = va[aptr[i]];
2240       vr  = vb[bptr[idc]];
2241       if (i!=idr || PetscAbsScalar(vc-vr) > tol) {
2242         *f = PETSC_FALSE;
2243         goto done;
2244       } else {
2245         aptr[i]++;
2246         if (B || i!=idc) bptr[idc]++;
2247       }
2248     }
2249   }
2250 done:
2251   ierr = PetscFree(aptr);CHKERRQ(ierr);
2252   ierr = PetscFree(bptr);CHKERRQ(ierr);
2253   PetscFunctionReturn(0);
2254 }
2255 
2256 #undef __FUNCT__
2257 #define __FUNCT__ "MatIsHermitianTranspose_SeqAIJ"
2258 PetscErrorCode  MatIsHermitianTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
2259 {
2260   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) A->data,*bij = (Mat_SeqAIJ*) A->data;
2261   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr;
2262   MatScalar      *va,*vb;
2263   PetscErrorCode ierr;
2264   PetscInt       ma,na,mb,nb, i;
2265 
2266   PetscFunctionBegin;
2267   bij = (Mat_SeqAIJ*) B->data;
2268 
2269   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
2270   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
2271   if (ma!=nb || na!=mb) {
2272     *f = PETSC_FALSE;
2273     PetscFunctionReturn(0);
2274   }
2275   aii  = aij->i; bii = bij->i;
2276   adx  = aij->j; bdx = bij->j;
2277   va   = aij->a; vb = bij->a;
2278   ierr = PetscMalloc1(ma,&aptr);CHKERRQ(ierr);
2279   ierr = PetscMalloc1(mb,&bptr);CHKERRQ(ierr);
2280   for (i=0; i<ma; i++) aptr[i] = aii[i];
2281   for (i=0; i<mb; i++) bptr[i] = bii[i];
2282 
2283   *f = PETSC_TRUE;
2284   for (i=0; i<ma; i++) {
2285     while (aptr[i]<aii[i+1]) {
2286       PetscInt    idc,idr;
2287       PetscScalar vc,vr;
2288       /* column/row index/value */
2289       idc = adx[aptr[i]];
2290       idr = bdx[bptr[idc]];
2291       vc  = va[aptr[i]];
2292       vr  = vb[bptr[idc]];
2293       if (i!=idr || PetscAbsScalar(vc-PetscConj(vr)) > tol) {
2294         *f = PETSC_FALSE;
2295         goto done;
2296       } else {
2297         aptr[i]++;
2298         if (B || i!=idc) bptr[idc]++;
2299       }
2300     }
2301   }
2302 done:
2303   ierr = PetscFree(aptr);CHKERRQ(ierr);
2304   ierr = PetscFree(bptr);CHKERRQ(ierr);
2305   PetscFunctionReturn(0);
2306 }
2307 
2308 #undef __FUNCT__
2309 #define __FUNCT__ "MatIsSymmetric_SeqAIJ"
2310 PetscErrorCode MatIsSymmetric_SeqAIJ(Mat A,PetscReal tol,PetscBool  *f)
2311 {
2312   PetscErrorCode ierr;
2313 
2314   PetscFunctionBegin;
2315   ierr = MatIsTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
2316   PetscFunctionReturn(0);
2317 }
2318 
2319 #undef __FUNCT__
2320 #define __FUNCT__ "MatIsHermitian_SeqAIJ"
2321 PetscErrorCode MatIsHermitian_SeqAIJ(Mat A,PetscReal tol,PetscBool  *f)
2322 {
2323   PetscErrorCode ierr;
2324 
2325   PetscFunctionBegin;
2326   ierr = MatIsHermitianTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
2327   PetscFunctionReturn(0);
2328 }
2329 
2330 #undef __FUNCT__
2331 #define __FUNCT__ "MatDiagonalScale_SeqAIJ"
2332 PetscErrorCode MatDiagonalScale_SeqAIJ(Mat A,Vec ll,Vec rr)
2333 {
2334   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2335   PetscScalar    *l,*r,x;
2336   MatScalar      *v;
2337   PetscErrorCode ierr;
2338   PetscInt       i,j,m = A->rmap->n,n = A->cmap->n,M,nz = a->nz,*jj;
2339 
2340   PetscFunctionBegin;
2341   if (ll) {
2342     /* The local size is used so that VecMPI can be passed to this routine
2343        by MatDiagonalScale_MPIAIJ */
2344     ierr = VecGetLocalSize(ll,&m);CHKERRQ(ierr);
2345     if (m != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Left scaling vector wrong length");
2346     ierr = VecGetArray(ll,&l);CHKERRQ(ierr);
2347     v    = a->a;
2348     for (i=0; i<m; i++) {
2349       x = l[i];
2350       M = a->i[i+1] - a->i[i];
2351       for (j=0; j<M; j++) (*v++) *= x;
2352     }
2353     ierr = VecRestoreArray(ll,&l);CHKERRQ(ierr);
2354     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
2355   }
2356   if (rr) {
2357     ierr = VecGetLocalSize(rr,&n);CHKERRQ(ierr);
2358     if (n != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Right scaling vector wrong length");
2359     ierr = VecGetArray(rr,&r);CHKERRQ(ierr);
2360     v    = a->a; jj = a->j;
2361     for (i=0; i<nz; i++) (*v++) *= r[*jj++];
2362     ierr = VecRestoreArray(rr,&r);CHKERRQ(ierr);
2363     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
2364   }
2365   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
2366   PetscFunctionReturn(0);
2367 }
2368 
2369 #undef __FUNCT__
2370 #define __FUNCT__ "MatGetSubMatrix_SeqAIJ"
2371 PetscErrorCode MatGetSubMatrix_SeqAIJ(Mat A,IS isrow,IS iscol,PetscInt csize,MatReuse scall,Mat *B)
2372 {
2373   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*c;
2374   PetscErrorCode ierr;
2375   PetscInt       *smap,i,k,kstart,kend,oldcols = A->cmap->n,*lens;
2376   PetscInt       row,mat_i,*mat_j,tcol,first,step,*mat_ilen,sum,lensi;
2377   const PetscInt *irow,*icol;
2378   PetscInt       nrows,ncols;
2379   PetscInt       *starts,*j_new,*i_new,*aj = a->j,*ai = a->i,ii,*ailen = a->ilen;
2380   MatScalar      *a_new,*mat_a;
2381   Mat            C;
2382   PetscBool      stride,sorted;
2383 
2384   PetscFunctionBegin;
2385   ierr = ISSorted(isrow,&sorted);CHKERRQ(ierr);
2386   if (!sorted) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"ISrow is not sorted");
2387   ierr = ISSorted(iscol,&sorted);CHKERRQ(ierr);
2388   if (!sorted) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"IScol is not sorted");
2389 
2390   ierr = ISGetIndices(isrow,&irow);CHKERRQ(ierr);
2391   ierr = ISGetLocalSize(isrow,&nrows);CHKERRQ(ierr);
2392   ierr = ISGetLocalSize(iscol,&ncols);CHKERRQ(ierr);
2393 
2394   ierr = ISStrideGetInfo(iscol,&first,&step);CHKERRQ(ierr);
2395   ierr = PetscObjectTypeCompare((PetscObject)iscol,ISSTRIDE,&stride);CHKERRQ(ierr);
2396   if (stride && step == 1) {
2397     /* special case of contiguous rows */
2398     ierr = PetscMalloc2(nrows,&lens,nrows,&starts);CHKERRQ(ierr);
2399     /* loop over new rows determining lens and starting points */
2400     for (i=0; i<nrows; i++) {
2401       kstart = ai[irow[i]];
2402       kend   = kstart + ailen[irow[i]];
2403       for (k=kstart; k<kend; k++) {
2404         if (aj[k] >= first) {
2405           starts[i] = k;
2406           break;
2407         }
2408       }
2409       sum = 0;
2410       while (k < kend) {
2411         if (aj[k++] >= first+ncols) break;
2412         sum++;
2413       }
2414       lens[i] = sum;
2415     }
2416     /* create submatrix */
2417     if (scall == MAT_REUSE_MATRIX) {
2418       PetscInt n_cols,n_rows;
2419       ierr = MatGetSize(*B,&n_rows,&n_cols);CHKERRQ(ierr);
2420       if (n_rows != nrows || n_cols != ncols) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Reused submatrix wrong size");
2421       ierr = MatZeroEntries(*B);CHKERRQ(ierr);
2422       C    = *B;
2423     } else {
2424       PetscInt rbs,cbs;
2425       ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2426       ierr = MatSetSizes(C,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2427       ierr = ISGetBlockSize(isrow,&rbs);CHKERRQ(ierr);
2428       ierr = ISGetBlockSize(iscol,&cbs);CHKERRQ(ierr);
2429       ierr = MatSetBlockSizes(C,rbs,cbs);CHKERRQ(ierr);
2430       ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2431       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
2432     }
2433     c = (Mat_SeqAIJ*)C->data;
2434 
2435     /* loop over rows inserting into submatrix */
2436     a_new = c->a;
2437     j_new = c->j;
2438     i_new = c->i;
2439 
2440     for (i=0; i<nrows; i++) {
2441       ii    = starts[i];
2442       lensi = lens[i];
2443       for (k=0; k<lensi; k++) {
2444         *j_new++ = aj[ii+k] - first;
2445       }
2446       ierr       = PetscMemcpy(a_new,a->a + starts[i],lensi*sizeof(PetscScalar));CHKERRQ(ierr);
2447       a_new     += lensi;
2448       i_new[i+1] = i_new[i] + lensi;
2449       c->ilen[i] = lensi;
2450     }
2451     ierr = PetscFree2(lens,starts);CHKERRQ(ierr);
2452   } else {
2453     ierr = ISGetIndices(iscol,&icol);CHKERRQ(ierr);
2454     ierr = PetscCalloc1(oldcols,&smap);CHKERRQ(ierr);
2455     ierr = PetscMalloc1((1+nrows),&lens);CHKERRQ(ierr);
2456     for (i=0; i<ncols; i++) {
2457 #if defined(PETSC_USE_DEBUG)
2458       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);
2459 #endif
2460       smap[icol[i]] = i+1;
2461     }
2462 
2463     /* determine lens of each row */
2464     for (i=0; i<nrows; i++) {
2465       kstart  = ai[irow[i]];
2466       kend    = kstart + a->ilen[irow[i]];
2467       lens[i] = 0;
2468       for (k=kstart; k<kend; k++) {
2469         if (smap[aj[k]]) {
2470           lens[i]++;
2471         }
2472       }
2473     }
2474     /* Create and fill new matrix */
2475     if (scall == MAT_REUSE_MATRIX) {
2476       PetscBool equal;
2477 
2478       c = (Mat_SeqAIJ*)((*B)->data);
2479       if ((*B)->rmap->n  != nrows || (*B)->cmap->n != ncols) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong size");
2480       ierr = PetscMemcmp(c->ilen,lens,(*B)->rmap->n*sizeof(PetscInt),&equal);CHKERRQ(ierr);
2481       if (!equal) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong no of nonzeros");
2482       ierr = PetscMemzero(c->ilen,(*B)->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
2483       C    = *B;
2484     } else {
2485       PetscInt rbs,cbs;
2486       ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2487       ierr = MatSetSizes(C,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2488       ierr = ISGetBlockSize(isrow,&rbs);CHKERRQ(ierr);
2489       ierr = ISGetBlockSize(iscol,&cbs);CHKERRQ(ierr);
2490       ierr = MatSetBlockSizes(C,rbs,cbs);CHKERRQ(ierr);
2491       ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2492       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
2493     }
2494     c = (Mat_SeqAIJ*)(C->data);
2495     for (i=0; i<nrows; i++) {
2496       row      = irow[i];
2497       kstart   = ai[row];
2498       kend     = kstart + a->ilen[row];
2499       mat_i    = c->i[i];
2500       mat_j    = c->j + mat_i;
2501       mat_a    = c->a + mat_i;
2502       mat_ilen = c->ilen + i;
2503       for (k=kstart; k<kend; k++) {
2504         if ((tcol=smap[a->j[k]])) {
2505           *mat_j++ = tcol - 1;
2506           *mat_a++ = a->a[k];
2507           (*mat_ilen)++;
2508 
2509         }
2510       }
2511     }
2512     /* Free work space */
2513     ierr = ISRestoreIndices(iscol,&icol);CHKERRQ(ierr);
2514     ierr = PetscFree(smap);CHKERRQ(ierr);
2515     ierr = PetscFree(lens);CHKERRQ(ierr);
2516   }
2517   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2518   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2519 
2520   ierr = ISRestoreIndices(isrow,&irow);CHKERRQ(ierr);
2521   *B   = C;
2522   PetscFunctionReturn(0);
2523 }
2524 
2525 #undef __FUNCT__
2526 #define __FUNCT__ "MatGetMultiProcBlock_SeqAIJ"
2527 PetscErrorCode  MatGetMultiProcBlock_SeqAIJ(Mat mat,MPI_Comm subComm,MatReuse scall,Mat *subMat)
2528 {
2529   PetscErrorCode ierr;
2530   Mat            B;
2531 
2532   PetscFunctionBegin;
2533   if (scall == MAT_INITIAL_MATRIX) {
2534     ierr    = MatCreate(subComm,&B);CHKERRQ(ierr);
2535     ierr    = MatSetSizes(B,mat->rmap->n,mat->cmap->n,mat->rmap->n,mat->cmap->n);CHKERRQ(ierr);
2536     ierr    = MatSetBlockSizesFromMats(B,mat,mat);CHKERRQ(ierr);
2537     ierr    = MatSetType(B,MATSEQAIJ);CHKERRQ(ierr);
2538     ierr    = MatDuplicateNoCreate_SeqAIJ(B,mat,MAT_COPY_VALUES,PETSC_TRUE);CHKERRQ(ierr);
2539     *subMat = B;
2540   } else {
2541     ierr = MatCopy_SeqAIJ(mat,*subMat,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
2542   }
2543   PetscFunctionReturn(0);
2544 }
2545 
2546 #undef __FUNCT__
2547 #define __FUNCT__ "MatILUFactor_SeqAIJ"
2548 PetscErrorCode MatILUFactor_SeqAIJ(Mat inA,IS row,IS col,const MatFactorInfo *info)
2549 {
2550   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)inA->data;
2551   PetscErrorCode ierr;
2552   Mat            outA;
2553   PetscBool      row_identity,col_identity;
2554 
2555   PetscFunctionBegin;
2556   if (info->levels != 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only levels=0 supported for in-place ilu");
2557 
2558   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
2559   ierr = ISIdentity(col,&col_identity);CHKERRQ(ierr);
2560 
2561   outA             = inA;
2562   outA->factortype = MAT_FACTOR_LU;
2563 
2564   ierr = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
2565   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
2566 
2567   a->row = row;
2568 
2569   ierr = PetscObjectReference((PetscObject)col);CHKERRQ(ierr);
2570   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
2571 
2572   a->col = col;
2573 
2574   /* Create the inverse permutation so that it can be used in MatLUFactorNumeric() */
2575   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
2576   ierr = ISInvertPermutation(col,PETSC_DECIDE,&a->icol);CHKERRQ(ierr);
2577   ierr = PetscLogObjectParent((PetscObject)inA,(PetscObject)a->icol);CHKERRQ(ierr);
2578 
2579   if (!a->solve_work) { /* this matrix may have been factored before */
2580     ierr = PetscMalloc1((inA->rmap->n+1),&a->solve_work);CHKERRQ(ierr);
2581     ierr = PetscLogObjectMemory((PetscObject)inA, (inA->rmap->n+1)*sizeof(PetscScalar));CHKERRQ(ierr);
2582   }
2583 
2584   ierr = MatMarkDiagonal_SeqAIJ(inA);CHKERRQ(ierr);
2585   if (row_identity && col_identity) {
2586     ierr = MatLUFactorNumeric_SeqAIJ_inplace(outA,inA,info);CHKERRQ(ierr);
2587   } else {
2588     ierr = MatLUFactorNumeric_SeqAIJ_InplaceWithPerm(outA,inA,info);CHKERRQ(ierr);
2589   }
2590   PetscFunctionReturn(0);
2591 }
2592 
2593 #undef __FUNCT__
2594 #define __FUNCT__ "MatScale_SeqAIJ"
2595 PetscErrorCode MatScale_SeqAIJ(Mat inA,PetscScalar alpha)
2596 {
2597   Mat_SeqAIJ     *a     = (Mat_SeqAIJ*)inA->data;
2598   PetscScalar    oalpha = alpha;
2599   PetscErrorCode ierr;
2600   PetscBLASInt   one = 1,bnz;
2601 
2602   PetscFunctionBegin;
2603   ierr = PetscBLASIntCast(a->nz,&bnz);CHKERRQ(ierr);
2604   PetscStackCallBLAS("BLASscal",BLASscal_(&bnz,&oalpha,a->a,&one));
2605   ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
2606   ierr = MatSeqAIJInvalidateDiagonal(inA);CHKERRQ(ierr);
2607   PetscFunctionReturn(0);
2608 }
2609 
2610 #undef __FUNCT__
2611 #define __FUNCT__ "MatGetSubMatrices_SeqAIJ"
2612 PetscErrorCode MatGetSubMatrices_SeqAIJ(Mat A,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
2613 {
2614   PetscErrorCode ierr;
2615   PetscInt       i;
2616 
2617   PetscFunctionBegin;
2618   if (scall == MAT_INITIAL_MATRIX) {
2619     ierr = PetscMalloc1((n+1),B);CHKERRQ(ierr);
2620   }
2621 
2622   for (i=0; i<n; i++) {
2623     ierr = MatGetSubMatrix_SeqAIJ(A,irow[i],icol[i],PETSC_DECIDE,scall,&(*B)[i]);CHKERRQ(ierr);
2624   }
2625   PetscFunctionReturn(0);
2626 }
2627 
2628 #undef __FUNCT__
2629 #define __FUNCT__ "MatIncreaseOverlap_SeqAIJ"
2630 PetscErrorCode MatIncreaseOverlap_SeqAIJ(Mat A,PetscInt is_max,IS is[],PetscInt ov)
2631 {
2632   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2633   PetscErrorCode ierr;
2634   PetscInt       row,i,j,k,l,m,n,*nidx,isz,val;
2635   const PetscInt *idx;
2636   PetscInt       start,end,*ai,*aj;
2637   PetscBT        table;
2638 
2639   PetscFunctionBegin;
2640   m  = A->rmap->n;
2641   ai = a->i;
2642   aj = a->j;
2643 
2644   if (ov < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"illegal negative overlap value used");
2645 
2646   ierr = PetscMalloc1((m+1),&nidx);CHKERRQ(ierr);
2647   ierr = PetscBTCreate(m,&table);CHKERRQ(ierr);
2648 
2649   for (i=0; i<is_max; i++) {
2650     /* Initialize the two local arrays */
2651     isz  = 0;
2652     ierr = PetscBTMemzero(m,table);CHKERRQ(ierr);
2653 
2654     /* Extract the indices, assume there can be duplicate entries */
2655     ierr = ISGetIndices(is[i],&idx);CHKERRQ(ierr);
2656     ierr = ISGetLocalSize(is[i],&n);CHKERRQ(ierr);
2657 
2658     /* Enter these into the temp arrays. I.e., mark table[row], enter row into new index */
2659     for (j=0; j<n; ++j) {
2660       if (!PetscBTLookupSet(table,idx[j])) nidx[isz++] = idx[j];
2661     }
2662     ierr = ISRestoreIndices(is[i],&idx);CHKERRQ(ierr);
2663     ierr = ISDestroy(&is[i]);CHKERRQ(ierr);
2664 
2665     k = 0;
2666     for (j=0; j<ov; j++) { /* for each overlap */
2667       n = isz;
2668       for (; k<n; k++) { /* do only those rows in nidx[k], which are not done yet */
2669         row   = nidx[k];
2670         start = ai[row];
2671         end   = ai[row+1];
2672         for (l = start; l<end; l++) {
2673           val = aj[l];
2674           if (!PetscBTLookupSet(table,val)) nidx[isz++] = val;
2675         }
2676       }
2677     }
2678     ierr = ISCreateGeneral(PETSC_COMM_SELF,isz,nidx,PETSC_COPY_VALUES,(is+i));CHKERRQ(ierr);
2679   }
2680   ierr = PetscBTDestroy(&table);CHKERRQ(ierr);
2681   ierr = PetscFree(nidx);CHKERRQ(ierr);
2682   PetscFunctionReturn(0);
2683 }
2684 
2685 /* -------------------------------------------------------------- */
2686 #undef __FUNCT__
2687 #define __FUNCT__ "MatPermute_SeqAIJ"
2688 PetscErrorCode MatPermute_SeqAIJ(Mat A,IS rowp,IS colp,Mat *B)
2689 {
2690   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2691   PetscErrorCode ierr;
2692   PetscInt       i,nz = 0,m = A->rmap->n,n = A->cmap->n;
2693   const PetscInt *row,*col;
2694   PetscInt       *cnew,j,*lens;
2695   IS             icolp,irowp;
2696   PetscInt       *cwork = NULL;
2697   PetscScalar    *vwork = NULL;
2698 
2699   PetscFunctionBegin;
2700   ierr = ISInvertPermutation(rowp,PETSC_DECIDE,&irowp);CHKERRQ(ierr);
2701   ierr = ISGetIndices(irowp,&row);CHKERRQ(ierr);
2702   ierr = ISInvertPermutation(colp,PETSC_DECIDE,&icolp);CHKERRQ(ierr);
2703   ierr = ISGetIndices(icolp,&col);CHKERRQ(ierr);
2704 
2705   /* determine lengths of permuted rows */
2706   ierr = PetscMalloc1((m+1),&lens);CHKERRQ(ierr);
2707   for (i=0; i<m; i++) lens[row[i]] = a->i[i+1] - a->i[i];
2708   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
2709   ierr = MatSetSizes(*B,m,n,m,n);CHKERRQ(ierr);
2710   ierr = MatSetBlockSizesFromMats(*B,A,A);CHKERRQ(ierr);
2711   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2712   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*B,0,lens);CHKERRQ(ierr);
2713   ierr = PetscFree(lens);CHKERRQ(ierr);
2714 
2715   ierr = PetscMalloc1(n,&cnew);CHKERRQ(ierr);
2716   for (i=0; i<m; i++) {
2717     ierr = MatGetRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2718     for (j=0; j<nz; j++) cnew[j] = col[cwork[j]];
2719     ierr = MatSetValues_SeqAIJ(*B,1,&row[i],nz,cnew,vwork,INSERT_VALUES);CHKERRQ(ierr);
2720     ierr = MatRestoreRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2721   }
2722   ierr = PetscFree(cnew);CHKERRQ(ierr);
2723 
2724   (*B)->assembled = PETSC_FALSE;
2725 
2726   ierr = MatAssemblyBegin(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2727   ierr = MatAssemblyEnd(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2728   ierr = ISRestoreIndices(irowp,&row);CHKERRQ(ierr);
2729   ierr = ISRestoreIndices(icolp,&col);CHKERRQ(ierr);
2730   ierr = ISDestroy(&irowp);CHKERRQ(ierr);
2731   ierr = ISDestroy(&icolp);CHKERRQ(ierr);
2732   PetscFunctionReturn(0);
2733 }
2734 
2735 #undef __FUNCT__
2736 #define __FUNCT__ "MatCopy_SeqAIJ"
2737 PetscErrorCode MatCopy_SeqAIJ(Mat A,Mat B,MatStructure str)
2738 {
2739   PetscErrorCode ierr;
2740 
2741   PetscFunctionBegin;
2742   /* If the two matrices have the same copy implementation, use fast copy. */
2743   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
2744     Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2745     Mat_SeqAIJ *b = (Mat_SeqAIJ*)B->data;
2746 
2747     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");
2748     ierr = PetscMemcpy(b->a,a->a,(a->i[A->rmap->n])*sizeof(PetscScalar));CHKERRQ(ierr);
2749   } else {
2750     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
2751   }
2752   PetscFunctionReturn(0);
2753 }
2754 
2755 #undef __FUNCT__
2756 #define __FUNCT__ "MatSetUp_SeqAIJ"
2757 PetscErrorCode MatSetUp_SeqAIJ(Mat A)
2758 {
2759   PetscErrorCode ierr;
2760 
2761   PetscFunctionBegin;
2762   ierr =  MatSeqAIJSetPreallocation_SeqAIJ(A,PETSC_DEFAULT,0);CHKERRQ(ierr);
2763   PetscFunctionReturn(0);
2764 }
2765 
2766 #undef __FUNCT__
2767 #define __FUNCT__ "MatSeqAIJGetArray_SeqAIJ"
2768 PetscErrorCode MatSeqAIJGetArray_SeqAIJ(Mat A,PetscScalar *array[])
2769 {
2770   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2771 
2772   PetscFunctionBegin;
2773   *array = a->a;
2774   PetscFunctionReturn(0);
2775 }
2776 
2777 #undef __FUNCT__
2778 #define __FUNCT__ "MatSeqAIJRestoreArray_SeqAIJ"
2779 PetscErrorCode MatSeqAIJRestoreArray_SeqAIJ(Mat A,PetscScalar *array[])
2780 {
2781   PetscFunctionBegin;
2782   PetscFunctionReturn(0);
2783 }
2784 
2785 /*
2786    Computes the number of nonzeros per row needed for preallocation when X and Y
2787    have different nonzero structure.
2788 */
2789 #undef __FUNCT__
2790 #define __FUNCT__ "MatAXPYGetPreallocation_SeqAIJ"
2791 PetscErrorCode MatAXPYGetPreallocation_SeqAIJ(Mat Y,Mat X,PetscInt *nnz)
2792 {
2793   PetscInt       i,m=Y->rmap->N;
2794   Mat_SeqAIJ     *x  = (Mat_SeqAIJ*)X->data;
2795   Mat_SeqAIJ     *y  = (Mat_SeqAIJ*)Y->data;
2796   const PetscInt *xi = x->i,*yi = y->i;
2797 
2798   PetscFunctionBegin;
2799   /* Set the number of nonzeros in the new matrix */
2800   for (i=0; i<m; i++) {
2801     PetscInt       j,k,nzx = xi[i+1] - xi[i],nzy = yi[i+1] - yi[i];
2802     const PetscInt *xj = x->j+xi[i],*yj = y->j+yi[i];
2803     nnz[i] = 0;
2804     for (j=0,k=0; j<nzx; j++) {                   /* Point in X */
2805       for (; k<nzy && yj[k]<xj[j]; k++) nnz[i]++; /* Catch up to X */
2806       if (k<nzy && yj[k]==xj[j]) k++;             /* Skip duplicate */
2807       nnz[i]++;
2808     }
2809     for (; k<nzy; k++) nnz[i]++;
2810   }
2811   PetscFunctionReturn(0);
2812 }
2813 
2814 #undef __FUNCT__
2815 #define __FUNCT__ "MatAXPY_SeqAIJ"
2816 PetscErrorCode MatAXPY_SeqAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
2817 {
2818   PetscErrorCode ierr;
2819   PetscInt       i;
2820   Mat_SeqAIJ     *x = (Mat_SeqAIJ*)X->data,*y = (Mat_SeqAIJ*)Y->data;
2821   PetscBLASInt   one=1,bnz;
2822 
2823   PetscFunctionBegin;
2824   ierr = PetscBLASIntCast(x->nz,&bnz);CHKERRQ(ierr);
2825   if (str == SAME_NONZERO_PATTERN) {
2826     PetscScalar alpha = a;
2827     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
2828     ierr = MatSeqAIJInvalidateDiagonal(Y);CHKERRQ(ierr);
2829   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
2830     if (y->xtoy && y->XtoY != X) {
2831       ierr = PetscFree(y->xtoy);CHKERRQ(ierr);
2832       ierr = MatDestroy(&y->XtoY);CHKERRQ(ierr);
2833     }
2834     if (!y->xtoy) { /* get xtoy */
2835       ierr    = MatAXPYGetxtoy_Private(X->rmap->n,x->i,x->j,NULL, y->i,y->j,NULL, &y->xtoy);CHKERRQ(ierr);
2836       y->XtoY = X;
2837       ierr    = PetscObjectReference((PetscObject)X);CHKERRQ(ierr);
2838     }
2839     for (i=0; i<x->nz; i++) y->a[y->xtoy[i]] += a*(x->a[i]);
2840     ierr = PetscInfo3(Y,"ratio of nnz(X)/nnz(Y): %D/%D = %g\n",x->nz,y->nz,(double)((PetscReal)(x->nz)/(y->nz+1)));CHKERRQ(ierr);
2841   } else {
2842     Mat      B;
2843     PetscInt *nnz;
2844     ierr = PetscMalloc1(Y->rmap->N,&nnz);CHKERRQ(ierr);
2845     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
2846     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
2847     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
2848     ierr = MatSetBlockSizesFromMats(B,Y,Y);CHKERRQ(ierr);
2849     ierr = MatSetType(B,(MatType) ((PetscObject)Y)->type_name);CHKERRQ(ierr);
2850     ierr = MatAXPYGetPreallocation_SeqAIJ(Y,X,nnz);CHKERRQ(ierr);
2851     ierr = MatSeqAIJSetPreallocation(B,0,nnz);CHKERRQ(ierr);
2852     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
2853     ierr = MatHeaderReplace(Y,B);CHKERRQ(ierr);
2854     ierr = PetscFree(nnz);CHKERRQ(ierr);
2855   }
2856   PetscFunctionReturn(0);
2857 }
2858 
2859 #undef __FUNCT__
2860 #define __FUNCT__ "MatConjugate_SeqAIJ"
2861 PetscErrorCode  MatConjugate_SeqAIJ(Mat mat)
2862 {
2863 #if defined(PETSC_USE_COMPLEX)
2864   Mat_SeqAIJ  *aij = (Mat_SeqAIJ*)mat->data;
2865   PetscInt    i,nz;
2866   PetscScalar *a;
2867 
2868   PetscFunctionBegin;
2869   nz = aij->nz;
2870   a  = aij->a;
2871   for (i=0; i<nz; i++) a[i] = PetscConj(a[i]);
2872 #else
2873   PetscFunctionBegin;
2874 #endif
2875   PetscFunctionReturn(0);
2876 }
2877 
2878 #undef __FUNCT__
2879 #define __FUNCT__ "MatGetRowMaxAbs_SeqAIJ"
2880 PetscErrorCode MatGetRowMaxAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2881 {
2882   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2883   PetscErrorCode ierr;
2884   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2885   PetscReal      atmp;
2886   PetscScalar    *x;
2887   MatScalar      *aa;
2888 
2889   PetscFunctionBegin;
2890   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2891   aa = a->a;
2892   ai = a->i;
2893   aj = a->j;
2894 
2895   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2896   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2897   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2898   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2899   for (i=0; i<m; i++) {
2900     ncols = ai[1] - ai[0]; ai++;
2901     x[i]  = 0.0;
2902     for (j=0; j<ncols; j++) {
2903       atmp = PetscAbsScalar(*aa);
2904       if (PetscAbsScalar(x[i]) < atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
2905       aa++; aj++;
2906     }
2907   }
2908   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2909   PetscFunctionReturn(0);
2910 }
2911 
2912 #undef __FUNCT__
2913 #define __FUNCT__ "MatGetRowMax_SeqAIJ"
2914 PetscErrorCode MatGetRowMax_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2915 {
2916   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2917   PetscErrorCode ierr;
2918   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2919   PetscScalar    *x;
2920   MatScalar      *aa;
2921 
2922   PetscFunctionBegin;
2923   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2924   aa = a->a;
2925   ai = a->i;
2926   aj = a->j;
2927 
2928   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2929   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2930   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2931   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2932   for (i=0; i<m; i++) {
2933     ncols = ai[1] - ai[0]; ai++;
2934     if (ncols == A->cmap->n) { /* row is dense */
2935       x[i] = *aa; if (idx) idx[i] = 0;
2936     } else {  /* row is sparse so already KNOW maximum is 0.0 or higher */
2937       x[i] = 0.0;
2938       if (idx) {
2939         idx[i] = 0; /* in case ncols is zero */
2940         for (j=0;j<ncols;j++) { /* find first implicit 0.0 in the row */
2941           if (aj[j] > j) {
2942             idx[i] = j;
2943             break;
2944           }
2945         }
2946       }
2947     }
2948     for (j=0; j<ncols; j++) {
2949       if (PetscRealPart(x[i]) < PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
2950       aa++; aj++;
2951     }
2952   }
2953   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2954   PetscFunctionReturn(0);
2955 }
2956 
2957 #undef __FUNCT__
2958 #define __FUNCT__ "MatGetRowMinAbs_SeqAIJ"
2959 PetscErrorCode MatGetRowMinAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2960 {
2961   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2962   PetscErrorCode ierr;
2963   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2964   PetscReal      atmp;
2965   PetscScalar    *x;
2966   MatScalar      *aa;
2967 
2968   PetscFunctionBegin;
2969   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2970   aa = a->a;
2971   ai = a->i;
2972   aj = a->j;
2973 
2974   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2975   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2976   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2977   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);
2978   for (i=0; i<m; i++) {
2979     ncols = ai[1] - ai[0]; ai++;
2980     if (ncols) {
2981       /* Get first nonzero */
2982       for (j = 0; j < ncols; j++) {
2983         atmp = PetscAbsScalar(aa[j]);
2984         if (atmp > 1.0e-12) {
2985           x[i] = atmp;
2986           if (idx) idx[i] = aj[j];
2987           break;
2988         }
2989       }
2990       if (j == ncols) {x[i] = PetscAbsScalar(*aa); if (idx) idx[i] = *aj;}
2991     } else {
2992       x[i] = 0.0; if (idx) idx[i] = 0;
2993     }
2994     for (j = 0; j < ncols; j++) {
2995       atmp = PetscAbsScalar(*aa);
2996       if (atmp > 1.0e-12 && PetscAbsScalar(x[i]) > atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
2997       aa++; aj++;
2998     }
2999   }
3000   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
3001   PetscFunctionReturn(0);
3002 }
3003 
3004 #undef __FUNCT__
3005 #define __FUNCT__ "MatGetRowMin_SeqAIJ"
3006 PetscErrorCode MatGetRowMin_SeqAIJ(Mat A,Vec v,PetscInt idx[])
3007 {
3008   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3009   PetscErrorCode ierr;
3010   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
3011   PetscScalar    *x;
3012   MatScalar      *aa;
3013 
3014   PetscFunctionBegin;
3015   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3016   aa = a->a;
3017   ai = a->i;
3018   aj = a->j;
3019 
3020   ierr = VecSet(v,0.0);CHKERRQ(ierr);
3021   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
3022   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
3023   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
3024   for (i=0; i<m; i++) {
3025     ncols = ai[1] - ai[0]; ai++;
3026     if (ncols == A->cmap->n) { /* row is dense */
3027       x[i] = *aa; if (idx) idx[i] = 0;
3028     } else {  /* row is sparse so already KNOW minimum is 0.0 or lower */
3029       x[i] = 0.0;
3030       if (idx) {   /* find first implicit 0.0 in the row */
3031         idx[i] = 0; /* in case ncols is zero */
3032         for (j=0; j<ncols; j++) {
3033           if (aj[j] > j) {
3034             idx[i] = j;
3035             break;
3036           }
3037         }
3038       }
3039     }
3040     for (j=0; j<ncols; j++) {
3041       if (PetscRealPart(x[i]) > PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
3042       aa++; aj++;
3043     }
3044   }
3045   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
3046   PetscFunctionReturn(0);
3047 }
3048 
3049 #include <petscblaslapack.h>
3050 #include <petsc-private/kernels/blockinvert.h>
3051 
3052 #undef __FUNCT__
3053 #define __FUNCT__ "MatInvertBlockDiagonal_SeqAIJ"
3054 PetscErrorCode  MatInvertBlockDiagonal_SeqAIJ(Mat A,const PetscScalar **values)
3055 {
3056   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
3057   PetscErrorCode ierr;
3058   PetscInt       i,bs = PetscAbs(A->rmap->bs),mbs = A->rmap->n/bs,ipvt[5],bs2 = bs*bs,*v_pivots,ij[7],*IJ,j;
3059   MatScalar      *diag,work[25],*v_work;
3060   PetscReal      shift = 0.0;
3061 
3062   PetscFunctionBegin;
3063   if (a->ibdiagvalid) {
3064     if (values) *values = a->ibdiag;
3065     PetscFunctionReturn(0);
3066   }
3067   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
3068   if (!a->ibdiag) {
3069     ierr = PetscMalloc1(bs2*mbs,&a->ibdiag);CHKERRQ(ierr);
3070     ierr = PetscLogObjectMemory((PetscObject)A,bs2*mbs*sizeof(PetscScalar));CHKERRQ(ierr);
3071   }
3072   diag = a->ibdiag;
3073   if (values) *values = a->ibdiag;
3074   /* factor and invert each block */
3075   switch (bs) {
3076   case 1:
3077     for (i=0; i<mbs; i++) {
3078       ierr    = MatGetValues(A,1,&i,1,&i,diag+i);CHKERRQ(ierr);
3079       diag[i] = (PetscScalar)1.0 / (diag[i] + shift);
3080     }
3081     break;
3082   case 2:
3083     for (i=0; i<mbs; i++) {
3084       ij[0] = 2*i; ij[1] = 2*i + 1;
3085       ierr  = MatGetValues(A,2,ij,2,ij,diag);CHKERRQ(ierr);
3086       ierr  = PetscKernel_A_gets_inverse_A_2(diag,shift);CHKERRQ(ierr);
3087       ierr  = PetscKernel_A_gets_transpose_A_2(diag);CHKERRQ(ierr);
3088       diag += 4;
3089     }
3090     break;
3091   case 3:
3092     for (i=0; i<mbs; i++) {
3093       ij[0] = 3*i; ij[1] = 3*i + 1; ij[2] = 3*i + 2;
3094       ierr  = MatGetValues(A,3,ij,3,ij,diag);CHKERRQ(ierr);
3095       ierr  = PetscKernel_A_gets_inverse_A_3(diag,shift);CHKERRQ(ierr);
3096       ierr  = PetscKernel_A_gets_transpose_A_3(diag);CHKERRQ(ierr);
3097       diag += 9;
3098     }
3099     break;
3100   case 4:
3101     for (i=0; i<mbs; i++) {
3102       ij[0] = 4*i; ij[1] = 4*i + 1; ij[2] = 4*i + 2; ij[3] = 4*i + 3;
3103       ierr  = MatGetValues(A,4,ij,4,ij,diag);CHKERRQ(ierr);
3104       ierr  = PetscKernel_A_gets_inverse_A_4(diag,shift);CHKERRQ(ierr);
3105       ierr  = PetscKernel_A_gets_transpose_A_4(diag);CHKERRQ(ierr);
3106       diag += 16;
3107     }
3108     break;
3109   case 5:
3110     for (i=0; i<mbs; i++) {
3111       ij[0] = 5*i; ij[1] = 5*i + 1; ij[2] = 5*i + 2; ij[3] = 5*i + 3; ij[4] = 5*i + 4;
3112       ierr  = MatGetValues(A,5,ij,5,ij,diag);CHKERRQ(ierr);
3113       ierr  = PetscKernel_A_gets_inverse_A_5(diag,ipvt,work,shift);CHKERRQ(ierr);
3114       ierr  = PetscKernel_A_gets_transpose_A_5(diag);CHKERRQ(ierr);
3115       diag += 25;
3116     }
3117     break;
3118   case 6:
3119     for (i=0; i<mbs; i++) {
3120       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;
3121       ierr  = MatGetValues(A,6,ij,6,ij,diag);CHKERRQ(ierr);
3122       ierr  = PetscKernel_A_gets_inverse_A_6(diag,shift);CHKERRQ(ierr);
3123       ierr  = PetscKernel_A_gets_transpose_A_6(diag);CHKERRQ(ierr);
3124       diag += 36;
3125     }
3126     break;
3127   case 7:
3128     for (i=0; i<mbs; i++) {
3129       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;
3130       ierr  = MatGetValues(A,7,ij,7,ij,diag);CHKERRQ(ierr);
3131       ierr  = PetscKernel_A_gets_inverse_A_7(diag,shift);CHKERRQ(ierr);
3132       ierr  = PetscKernel_A_gets_transpose_A_7(diag);CHKERRQ(ierr);
3133       diag += 49;
3134     }
3135     break;
3136   default:
3137     ierr = PetscMalloc3(bs,&v_work,bs,&v_pivots,bs,&IJ);CHKERRQ(ierr);
3138     for (i=0; i<mbs; i++) {
3139       for (j=0; j<bs; j++) {
3140         IJ[j] = bs*i + j;
3141       }
3142       ierr  = MatGetValues(A,bs,IJ,bs,IJ,diag);CHKERRQ(ierr);
3143       ierr  = PetscKernel_A_gets_inverse_A(bs,diag,v_pivots,v_work);CHKERRQ(ierr);
3144       ierr  = PetscKernel_A_gets_transpose_A_N(diag,bs);CHKERRQ(ierr);
3145       diag += bs2;
3146     }
3147     ierr = PetscFree3(v_work,v_pivots,IJ);CHKERRQ(ierr);
3148   }
3149   a->ibdiagvalid = PETSC_TRUE;
3150   PetscFunctionReturn(0);
3151 }
3152 
3153 #undef __FUNCT__
3154 #define __FUNCT__ "MatSetRandom_SeqAIJ"
3155 static PetscErrorCode  MatSetRandom_SeqAIJ(Mat x,PetscRandom rctx)
3156 {
3157   PetscErrorCode ierr;
3158   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)x->data;
3159   PetscScalar    a;
3160   PetscInt       m,n,i,j,col;
3161 
3162   PetscFunctionBegin;
3163   if (!x->assembled) {
3164     ierr = MatGetSize(x,&m,&n);CHKERRQ(ierr);
3165     for (i=0; i<m; i++) {
3166       for (j=0; j<aij->imax[i]; j++) {
3167         ierr = PetscRandomGetValue(rctx,&a);CHKERRQ(ierr);
3168         col  = (PetscInt)(n*PetscRealPart(a));
3169         ierr = MatSetValues(x,1,&i,1,&col,&a,ADD_VALUES);CHKERRQ(ierr);
3170       }
3171     }
3172   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet coded");
3173   ierr = MatAssemblyBegin(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3174   ierr = MatAssemblyEnd(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3175   PetscFunctionReturn(0);
3176 }
3177 
3178 /* -------------------------------------------------------------------*/
3179 static struct _MatOps MatOps_Values = { MatSetValues_SeqAIJ,
3180                                         MatGetRow_SeqAIJ,
3181                                         MatRestoreRow_SeqAIJ,
3182                                         MatMult_SeqAIJ,
3183                                 /*  4*/ MatMultAdd_SeqAIJ,
3184                                         MatMultTranspose_SeqAIJ,
3185                                         MatMultTransposeAdd_SeqAIJ,
3186                                         0,
3187                                         0,
3188                                         0,
3189                                 /* 10*/ 0,
3190                                         MatLUFactor_SeqAIJ,
3191                                         0,
3192                                         MatSOR_SeqAIJ,
3193                                         MatTranspose_SeqAIJ,
3194                                 /*1 5*/ MatGetInfo_SeqAIJ,
3195                                         MatEqual_SeqAIJ,
3196                                         MatGetDiagonal_SeqAIJ,
3197                                         MatDiagonalScale_SeqAIJ,
3198                                         MatNorm_SeqAIJ,
3199                                 /* 20*/ 0,
3200                                         MatAssemblyEnd_SeqAIJ,
3201                                         MatSetOption_SeqAIJ,
3202                                         MatZeroEntries_SeqAIJ,
3203                                 /* 24*/ MatZeroRows_SeqAIJ,
3204                                         0,
3205                                         0,
3206                                         0,
3207                                         0,
3208                                 /* 29*/ MatSetUp_SeqAIJ,
3209                                         0,
3210                                         0,
3211                                         0,
3212                                         0,
3213                                 /* 34*/ MatDuplicate_SeqAIJ,
3214                                         0,
3215                                         0,
3216                                         MatILUFactor_SeqAIJ,
3217                                         0,
3218                                 /* 39*/ MatAXPY_SeqAIJ,
3219                                         MatGetSubMatrices_SeqAIJ,
3220                                         MatIncreaseOverlap_SeqAIJ,
3221                                         MatGetValues_SeqAIJ,
3222                                         MatCopy_SeqAIJ,
3223                                 /* 44*/ MatGetRowMax_SeqAIJ,
3224                                         MatScale_SeqAIJ,
3225                                         0,
3226                                         MatDiagonalSet_SeqAIJ,
3227                                         MatZeroRowsColumns_SeqAIJ,
3228                                 /* 49*/ MatSetRandom_SeqAIJ,
3229                                         MatGetRowIJ_SeqAIJ,
3230                                         MatRestoreRowIJ_SeqAIJ,
3231                                         MatGetColumnIJ_SeqAIJ,
3232                                         MatRestoreColumnIJ_SeqAIJ,
3233                                 /* 54*/ MatFDColoringCreate_SeqXAIJ,
3234                                         0,
3235                                         0,
3236                                         MatPermute_SeqAIJ,
3237                                         0,
3238                                 /* 59*/ 0,
3239                                         MatDestroy_SeqAIJ,
3240                                         MatView_SeqAIJ,
3241                                         0,
3242                                         MatMatMatMult_SeqAIJ_SeqAIJ_SeqAIJ,
3243                                 /* 64*/ MatMatMatMultSymbolic_SeqAIJ_SeqAIJ_SeqAIJ,
3244                                         MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqAIJ,
3245                                         0,
3246                                         0,
3247                                         0,
3248                                 /* 69*/ MatGetRowMaxAbs_SeqAIJ,
3249                                         MatGetRowMinAbs_SeqAIJ,
3250                                         0,
3251                                         MatSetColoring_SeqAIJ,
3252                                         0,
3253                                 /* 74*/ MatSetValuesAdifor_SeqAIJ,
3254                                         MatFDColoringApply_AIJ,
3255                                         0,
3256                                         0,
3257                                         0,
3258                                 /* 79*/ MatFindZeroDiagonals_SeqAIJ,
3259                                         0,
3260                                         0,
3261                                         0,
3262                                         MatLoad_SeqAIJ,
3263                                 /* 84*/ MatIsSymmetric_SeqAIJ,
3264                                         MatIsHermitian_SeqAIJ,
3265                                         0,
3266                                         0,
3267                                         0,
3268                                 /* 89*/ MatMatMult_SeqAIJ_SeqAIJ,
3269                                         MatMatMultSymbolic_SeqAIJ_SeqAIJ,
3270                                         MatMatMultNumeric_SeqAIJ_SeqAIJ,
3271                                         MatPtAP_SeqAIJ_SeqAIJ,
3272                                         MatPtAPSymbolic_SeqAIJ_SeqAIJ_DenseAxpy,
3273                                 /* 94*/ MatPtAPNumeric_SeqAIJ_SeqAIJ,
3274                                         MatMatTransposeMult_SeqAIJ_SeqAIJ,
3275                                         MatMatTransposeMultSymbolic_SeqAIJ_SeqAIJ,
3276                                         MatMatTransposeMultNumeric_SeqAIJ_SeqAIJ,
3277                                         0,
3278                                 /* 99*/ 0,
3279                                         0,
3280                                         0,
3281                                         MatConjugate_SeqAIJ,
3282                                         0,
3283                                 /*104*/ MatSetValuesRow_SeqAIJ,
3284                                         MatRealPart_SeqAIJ,
3285                                         MatImaginaryPart_SeqAIJ,
3286                                         0,
3287                                         0,
3288                                 /*109*/ MatMatSolve_SeqAIJ,
3289                                         0,
3290                                         MatGetRowMin_SeqAIJ,
3291                                         0,
3292                                         MatMissingDiagonal_SeqAIJ,
3293                                 /*114*/ 0,
3294                                         0,
3295                                         0,
3296                                         0,
3297                                         0,
3298                                 /*119*/ 0,
3299                                         0,
3300                                         0,
3301                                         0,
3302                                         MatGetMultiProcBlock_SeqAIJ,
3303                                 /*124*/ MatFindNonzeroRows_SeqAIJ,
3304                                         MatGetColumnNorms_SeqAIJ,
3305                                         MatInvertBlockDiagonal_SeqAIJ,
3306                                         0,
3307                                         0,
3308                                 /*129*/ 0,
3309                                         MatTransposeMatMult_SeqAIJ_SeqAIJ,
3310                                         MatTransposeMatMultSymbolic_SeqAIJ_SeqAIJ,
3311                                         MatTransposeMatMultNumeric_SeqAIJ_SeqAIJ,
3312                                         MatTransposeColoringCreate_SeqAIJ,
3313                                 /*134*/ MatTransColoringApplySpToDen_SeqAIJ,
3314                                         MatTransColoringApplyDenToSp_SeqAIJ,
3315                                         MatRARt_SeqAIJ_SeqAIJ,
3316                                         MatRARtSymbolic_SeqAIJ_SeqAIJ,
3317                                         MatRARtNumeric_SeqAIJ_SeqAIJ,
3318                                  /*139*/0,
3319                                         0,
3320                                         0,
3321                                         MatFDColoringSetUp_SeqXAIJ,
3322                                         MatFindOffBlockDiagonalEntries_SeqAIJ
3323 };
3324 
3325 #undef __FUNCT__
3326 #define __FUNCT__ "MatSeqAIJSetColumnIndices_SeqAIJ"
3327 PetscErrorCode  MatSeqAIJSetColumnIndices_SeqAIJ(Mat mat,PetscInt *indices)
3328 {
3329   Mat_SeqAIJ *aij = (Mat_SeqAIJ*)mat->data;
3330   PetscInt   i,nz,n;
3331 
3332   PetscFunctionBegin;
3333   nz = aij->maxnz;
3334   n  = mat->rmap->n;
3335   for (i=0; i<nz; i++) {
3336     aij->j[i] = indices[i];
3337   }
3338   aij->nz = nz;
3339   for (i=0; i<n; i++) {
3340     aij->ilen[i] = aij->imax[i];
3341   }
3342   PetscFunctionReturn(0);
3343 }
3344 
3345 #undef __FUNCT__
3346 #define __FUNCT__ "MatSeqAIJSetColumnIndices"
3347 /*@
3348     MatSeqAIJSetColumnIndices - Set the column indices for all the rows
3349        in the matrix.
3350 
3351   Input Parameters:
3352 +  mat - the SeqAIJ matrix
3353 -  indices - the column indices
3354 
3355   Level: advanced
3356 
3357   Notes:
3358     This can be called if you have precomputed the nonzero structure of the
3359   matrix and want to provide it to the matrix object to improve the performance
3360   of the MatSetValues() operation.
3361 
3362     You MUST have set the correct numbers of nonzeros per row in the call to
3363   MatCreateSeqAIJ(), and the columns indices MUST be sorted.
3364 
3365     MUST be called before any calls to MatSetValues();
3366 
3367     The indices should start with zero, not one.
3368 
3369 @*/
3370 PetscErrorCode  MatSeqAIJSetColumnIndices(Mat mat,PetscInt *indices)
3371 {
3372   PetscErrorCode ierr;
3373 
3374   PetscFunctionBegin;
3375   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3376   PetscValidPointer(indices,2);
3377   ierr = PetscUseMethod(mat,"MatSeqAIJSetColumnIndices_C",(Mat,PetscInt*),(mat,indices));CHKERRQ(ierr);
3378   PetscFunctionReturn(0);
3379 }
3380 
3381 /* ----------------------------------------------------------------------------------------*/
3382 
3383 #undef __FUNCT__
3384 #define __FUNCT__ "MatStoreValues_SeqAIJ"
3385 PetscErrorCode  MatStoreValues_SeqAIJ(Mat mat)
3386 {
3387   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3388   PetscErrorCode ierr;
3389   size_t         nz = aij->i[mat->rmap->n];
3390 
3391   PetscFunctionBegin;
3392   if (!aij->nonew) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3393 
3394   /* allocate space for values if not already there */
3395   if (!aij->saved_values) {
3396     ierr = PetscMalloc1((nz+1),&aij->saved_values);CHKERRQ(ierr);
3397     ierr = PetscLogObjectMemory((PetscObject)mat,(nz+1)*sizeof(PetscScalar));CHKERRQ(ierr);
3398   }
3399 
3400   /* copy values over */
3401   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3402   PetscFunctionReturn(0);
3403 }
3404 
3405 #undef __FUNCT__
3406 #define __FUNCT__ "MatStoreValues"
3407 /*@
3408     MatStoreValues - Stashes a copy of the matrix values; this allows, for
3409        example, reuse of the linear part of a Jacobian, while recomputing the
3410        nonlinear portion.
3411 
3412    Collect on Mat
3413 
3414   Input Parameters:
3415 .  mat - the matrix (currently only AIJ matrices support this option)
3416 
3417   Level: advanced
3418 
3419   Common Usage, with SNESSolve():
3420 $    Create Jacobian matrix
3421 $    Set linear terms into matrix
3422 $    Apply boundary conditions to matrix, at this time matrix must have
3423 $      final nonzero structure (i.e. setting the nonlinear terms and applying
3424 $      boundary conditions again will not change the nonzero structure
3425 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3426 $    ierr = MatStoreValues(mat);
3427 $    Call SNESSetJacobian() with matrix
3428 $    In your Jacobian routine
3429 $      ierr = MatRetrieveValues(mat);
3430 $      Set nonlinear terms in matrix
3431 
3432   Common Usage without SNESSolve(), i.e. when you handle nonlinear solve yourself:
3433 $    // build linear portion of Jacobian
3434 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3435 $    ierr = MatStoreValues(mat);
3436 $    loop over nonlinear iterations
3437 $       ierr = MatRetrieveValues(mat);
3438 $       // call MatSetValues(mat,...) to set nonliner portion of Jacobian
3439 $       // call MatAssemblyBegin/End() on matrix
3440 $       Solve linear system with Jacobian
3441 $    endloop
3442 
3443   Notes:
3444     Matrix must already be assemblied before calling this routine
3445     Must set the matrix option MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE); before
3446     calling this routine.
3447 
3448     When this is called multiple times it overwrites the previous set of stored values
3449     and does not allocated additional space.
3450 
3451 .seealso: MatRetrieveValues()
3452 
3453 @*/
3454 PetscErrorCode  MatStoreValues(Mat mat)
3455 {
3456   PetscErrorCode ierr;
3457 
3458   PetscFunctionBegin;
3459   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3460   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3461   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3462   ierr = PetscUseMethod(mat,"MatStoreValues_C",(Mat),(mat));CHKERRQ(ierr);
3463   PetscFunctionReturn(0);
3464 }
3465 
3466 #undef __FUNCT__
3467 #define __FUNCT__ "MatRetrieveValues_SeqAIJ"
3468 PetscErrorCode  MatRetrieveValues_SeqAIJ(Mat mat)
3469 {
3470   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3471   PetscErrorCode ierr;
3472   PetscInt       nz = aij->i[mat->rmap->n];
3473 
3474   PetscFunctionBegin;
3475   if (!aij->nonew) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3476   if (!aij->saved_values) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
3477   /* copy values over */
3478   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3479   PetscFunctionReturn(0);
3480 }
3481 
3482 #undef __FUNCT__
3483 #define __FUNCT__ "MatRetrieveValues"
3484 /*@
3485     MatRetrieveValues - Retrieves the copy of the matrix values; this allows, for
3486        example, reuse of the linear part of a Jacobian, while recomputing the
3487        nonlinear portion.
3488 
3489    Collect on Mat
3490 
3491   Input Parameters:
3492 .  mat - the matrix (currently on AIJ matrices support this option)
3493 
3494   Level: advanced
3495 
3496 .seealso: MatStoreValues()
3497 
3498 @*/
3499 PetscErrorCode  MatRetrieveValues(Mat mat)
3500 {
3501   PetscErrorCode ierr;
3502 
3503   PetscFunctionBegin;
3504   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3505   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3506   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3507   ierr = PetscUseMethod(mat,"MatRetrieveValues_C",(Mat),(mat));CHKERRQ(ierr);
3508   PetscFunctionReturn(0);
3509 }
3510 
3511 
3512 /* --------------------------------------------------------------------------------*/
3513 #undef __FUNCT__
3514 #define __FUNCT__ "MatCreateSeqAIJ"
3515 /*@C
3516    MatCreateSeqAIJ - Creates a sparse matrix in AIJ (compressed row) format
3517    (the default parallel PETSc format).  For good matrix assembly performance
3518    the user should preallocate the matrix storage by setting the parameter nz
3519    (or the array nnz).  By setting these parameters accurately, performance
3520    during matrix assembly can be increased by more than a factor of 50.
3521 
3522    Collective on MPI_Comm
3523 
3524    Input Parameters:
3525 +  comm - MPI communicator, set to PETSC_COMM_SELF
3526 .  m - number of rows
3527 .  n - number of columns
3528 .  nz - number of nonzeros per row (same for all rows)
3529 -  nnz - array containing the number of nonzeros in the various rows
3530          (possibly different for each row) or NULL
3531 
3532    Output Parameter:
3533 .  A - the matrix
3534 
3535    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3536    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3537    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3538 
3539    Notes:
3540    If nnz is given then nz is ignored
3541 
3542    The AIJ format (also called the Yale sparse matrix format or
3543    compressed row storage), is fully compatible with standard Fortran 77
3544    storage.  That is, the stored row and column indices can begin at
3545    either one (as in Fortran) or zero.  See the users' manual for details.
3546 
3547    Specify the preallocated storage with either nz or nnz (not both).
3548    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3549    allocation.  For large problems you MUST preallocate memory or you
3550    will get TERRIBLE performance, see the users' manual chapter on matrices.
3551 
3552    By default, this format uses inodes (identical nodes) when possible, to
3553    improve numerical efficiency of matrix-vector products and solves. We
3554    search for consecutive rows with the same nonzero structure, thereby
3555    reusing matrix information to achieve increased efficiency.
3556 
3557    Options Database Keys:
3558 +  -mat_no_inode  - Do not use inodes
3559 -  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3560 
3561    Level: intermediate
3562 
3563 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays()
3564 
3565 @*/
3566 PetscErrorCode  MatCreateSeqAIJ(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
3567 {
3568   PetscErrorCode ierr;
3569 
3570   PetscFunctionBegin;
3571   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3572   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
3573   ierr = MatSetType(*A,MATSEQAIJ);CHKERRQ(ierr);
3574   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*A,nz,nnz);CHKERRQ(ierr);
3575   PetscFunctionReturn(0);
3576 }
3577 
3578 #undef __FUNCT__
3579 #define __FUNCT__ "MatSeqAIJSetPreallocation"
3580 /*@C
3581    MatSeqAIJSetPreallocation - For good matrix assembly performance
3582    the user should preallocate the matrix storage by setting the parameter nz
3583    (or the array nnz).  By setting these parameters accurately, performance
3584    during matrix assembly can be increased by more than a factor of 50.
3585 
3586    Collective on MPI_Comm
3587 
3588    Input Parameters:
3589 +  B - The matrix-free
3590 .  nz - number of nonzeros per row (same for all rows)
3591 -  nnz - array containing the number of nonzeros in the various rows
3592          (possibly different for each row) or NULL
3593 
3594    Notes:
3595      If nnz is given then nz is ignored
3596 
3597     The AIJ format (also called the Yale sparse matrix format or
3598    compressed row storage), is fully compatible with standard Fortran 77
3599    storage.  That is, the stored row and column indices can begin at
3600    either one (as in Fortran) or zero.  See the users' manual for details.
3601 
3602    Specify the preallocated storage with either nz or nnz (not both).
3603    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3604    allocation.  For large problems you MUST preallocate memory or you
3605    will get TERRIBLE performance, see the users' manual chapter on matrices.
3606 
3607    You can call MatGetInfo() to get information on how effective the preallocation was;
3608    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3609    You can also run with the option -info and look for messages with the string
3610    malloc in them to see if additional memory allocation was needed.
3611 
3612    Developers: Use nz of MAT_SKIP_ALLOCATION to not allocate any space for the matrix
3613    entries or columns indices
3614 
3615    By default, this format uses inodes (identical nodes) when possible, to
3616    improve numerical efficiency of matrix-vector products and solves. We
3617    search for consecutive rows with the same nonzero structure, thereby
3618    reusing matrix information to achieve increased efficiency.
3619 
3620    Options Database Keys:
3621 +  -mat_no_inode  - Do not use inodes
3622 .  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3623 -  -mat_aij_oneindex - Internally use indexing starting at 1
3624         rather than 0.  Note that when calling MatSetValues(),
3625         the user still MUST index entries starting at 0!
3626 
3627    Level: intermediate
3628 
3629 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays(), MatGetInfo()
3630 
3631 @*/
3632 PetscErrorCode  MatSeqAIJSetPreallocation(Mat B,PetscInt nz,const PetscInt nnz[])
3633 {
3634   PetscErrorCode ierr;
3635 
3636   PetscFunctionBegin;
3637   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3638   PetscValidType(B,1);
3639   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocation_C",(Mat,PetscInt,const PetscInt[]),(B,nz,nnz));CHKERRQ(ierr);
3640   PetscFunctionReturn(0);
3641 }
3642 
3643 #undef __FUNCT__
3644 #define __FUNCT__ "MatSeqAIJSetPreallocation_SeqAIJ"
3645 PetscErrorCode  MatSeqAIJSetPreallocation_SeqAIJ(Mat B,PetscInt nz,const PetscInt *nnz)
3646 {
3647   Mat_SeqAIJ     *b;
3648   PetscBool      skipallocation = PETSC_FALSE,realalloc = PETSC_FALSE;
3649   PetscErrorCode ierr;
3650   PetscInt       i;
3651 
3652   PetscFunctionBegin;
3653   if (nz >= 0 || nnz) realalloc = PETSC_TRUE;
3654   if (nz == MAT_SKIP_ALLOCATION) {
3655     skipallocation = PETSC_TRUE;
3656     nz             = 0;
3657   }
3658 
3659   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3660   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3661 
3662   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
3663   if (nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %D",nz);
3664   if (nnz) {
3665     for (i=0; i<B->rmap->n; i++) {
3666       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]);
3667       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);
3668     }
3669   }
3670 
3671   B->preallocated = PETSC_TRUE;
3672 
3673   b = (Mat_SeqAIJ*)B->data;
3674 
3675   if (!skipallocation) {
3676     if (!b->imax) {
3677       ierr = PetscMalloc2(B->rmap->n,&b->imax,B->rmap->n,&b->ilen);CHKERRQ(ierr);
3678       ierr = PetscLogObjectMemory((PetscObject)B,2*B->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
3679     }
3680     if (!nnz) {
3681       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 10;
3682       else if (nz < 0) nz = 1;
3683       for (i=0; i<B->rmap->n; i++) b->imax[i] = nz;
3684       nz = nz*B->rmap->n;
3685     } else {
3686       nz = 0;
3687       for (i=0; i<B->rmap->n; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
3688     }
3689     /* b->ilen will count nonzeros in each row so far. */
3690     for (i=0; i<B->rmap->n; i++) b->ilen[i] = 0;
3691 
3692     /* allocate the matrix space */
3693     ierr    = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
3694     ierr    = PetscMalloc3(nz,&b->a,nz,&b->j,B->rmap->n+1,&b->i);CHKERRQ(ierr);
3695     ierr    = PetscLogObjectMemory((PetscObject)B,(B->rmap->n+1)*sizeof(PetscInt)+nz*(sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
3696     b->i[0] = 0;
3697     for (i=1; i<B->rmap->n+1; i++) {
3698       b->i[i] = b->i[i-1] + b->imax[i-1];
3699     }
3700     b->singlemalloc = PETSC_TRUE;
3701     b->free_a       = PETSC_TRUE;
3702     b->free_ij      = PETSC_TRUE;
3703 #if defined(PETSC_THREADCOMM_ACTIVE)
3704     ierr = MatZeroEntries_SeqAIJ(B);CHKERRQ(ierr);
3705 #endif
3706   } else {
3707     b->free_a  = PETSC_FALSE;
3708     b->free_ij = PETSC_FALSE;
3709   }
3710 
3711   b->nz               = 0;
3712   b->maxnz            = nz;
3713   B->info.nz_unneeded = (double)b->maxnz;
3714   if (realalloc) {
3715     ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3716   }
3717   PetscFunctionReturn(0);
3718 }
3719 
3720 #undef  __FUNCT__
3721 #define __FUNCT__  "MatSeqAIJSetPreallocationCSR"
3722 /*@
3723    MatSeqAIJSetPreallocationCSR - Allocates memory for a sparse sequential matrix in AIJ format.
3724 
3725    Input Parameters:
3726 +  B - the matrix
3727 .  i - the indices into j for the start of each row (starts with zero)
3728 .  j - the column indices for each row (starts with zero) these must be sorted for each row
3729 -  v - optional values in the matrix
3730 
3731    Level: developer
3732 
3733    The i,j,v values are COPIED with this routine; to avoid the copy use MatCreateSeqAIJWithArrays()
3734 
3735 .keywords: matrix, aij, compressed row, sparse, sequential
3736 
3737 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatSeqAIJSetPreallocation(), MatCreateSeqAIJ(), SeqAIJ
3738 @*/
3739 PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat B,const PetscInt i[],const PetscInt j[],const PetscScalar v[])
3740 {
3741   PetscErrorCode ierr;
3742 
3743   PetscFunctionBegin;
3744   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3745   PetscValidType(B,1);
3746   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocationCSR_C",(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,i,j,v));CHKERRQ(ierr);
3747   PetscFunctionReturn(0);
3748 }
3749 
3750 #undef  __FUNCT__
3751 #define __FUNCT__  "MatSeqAIJSetPreallocationCSR_SeqAIJ"
3752 PetscErrorCode  MatSeqAIJSetPreallocationCSR_SeqAIJ(Mat B,const PetscInt Ii[],const PetscInt J[],const PetscScalar v[])
3753 {
3754   PetscInt       i;
3755   PetscInt       m,n;
3756   PetscInt       nz;
3757   PetscInt       *nnz, nz_max = 0;
3758   PetscScalar    *values;
3759   PetscErrorCode ierr;
3760 
3761   PetscFunctionBegin;
3762   if (Ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Ii[0] must be 0 it is %D", Ii[0]);
3763 
3764   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3765   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3766 
3767   ierr = MatGetSize(B, &m, &n);CHKERRQ(ierr);
3768   ierr = PetscMalloc1((m+1), &nnz);CHKERRQ(ierr);
3769   for (i = 0; i < m; i++) {
3770     nz     = Ii[i+1]- Ii[i];
3771     nz_max = PetscMax(nz_max, nz);
3772     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Local row %D has a negative number of columns %D", i, nnz);
3773     nnz[i] = nz;
3774   }
3775   ierr = MatSeqAIJSetPreallocation(B, 0, nnz);CHKERRQ(ierr);
3776   ierr = PetscFree(nnz);CHKERRQ(ierr);
3777 
3778   if (v) {
3779     values = (PetscScalar*) v;
3780   } else {
3781     ierr = PetscCalloc1(nz_max, &values);CHKERRQ(ierr);
3782   }
3783 
3784   for (i = 0; i < m; i++) {
3785     nz   = Ii[i+1] - Ii[i];
3786     ierr = MatSetValues_SeqAIJ(B, 1, &i, nz, J+Ii[i], values + (v ? Ii[i] : 0), INSERT_VALUES);CHKERRQ(ierr);
3787   }
3788 
3789   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3790   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3791 
3792   if (!v) {
3793     ierr = PetscFree(values);CHKERRQ(ierr);
3794   }
3795   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3796   PetscFunctionReturn(0);
3797 }
3798 
3799 #include <../src/mat/impls/dense/seq/dense.h>
3800 #include <petsc-private/kernels/petscaxpy.h>
3801 
3802 #undef __FUNCT__
3803 #define __FUNCT__ "MatMatMultNumeric_SeqDense_SeqAIJ"
3804 /*
3805     Computes (B'*A')' since computing B*A directly is untenable
3806 
3807                n                       p                          p
3808         (              )       (              )         (                  )
3809       m (      A       )  *  n (       B      )   =   m (         C        )
3810         (              )       (              )         (                  )
3811 
3812 */
3813 PetscErrorCode MatMatMultNumeric_SeqDense_SeqAIJ(Mat A,Mat B,Mat C)
3814 {
3815   PetscErrorCode    ierr;
3816   Mat_SeqDense      *sub_a = (Mat_SeqDense*)A->data;
3817   Mat_SeqAIJ        *sub_b = (Mat_SeqAIJ*)B->data;
3818   Mat_SeqDense      *sub_c = (Mat_SeqDense*)C->data;
3819   PetscInt          i,n,m,q,p;
3820   const PetscInt    *ii,*idx;
3821   const PetscScalar *b,*a,*a_q;
3822   PetscScalar       *c,*c_q;
3823 
3824   PetscFunctionBegin;
3825   m    = A->rmap->n;
3826   n    = A->cmap->n;
3827   p    = B->cmap->n;
3828   a    = sub_a->v;
3829   b    = sub_b->a;
3830   c    = sub_c->v;
3831   ierr = PetscMemzero(c,m*p*sizeof(PetscScalar));CHKERRQ(ierr);
3832 
3833   ii  = sub_b->i;
3834   idx = sub_b->j;
3835   for (i=0; i<n; i++) {
3836     q = ii[i+1] - ii[i];
3837     while (q-->0) {
3838       c_q = c + m*(*idx);
3839       a_q = a + m*i;
3840       PetscKernelAXPY(c_q,*b,a_q,m);
3841       idx++;
3842       b++;
3843     }
3844   }
3845   PetscFunctionReturn(0);
3846 }
3847 
3848 #undef __FUNCT__
3849 #define __FUNCT__ "MatMatMultSymbolic_SeqDense_SeqAIJ"
3850 PetscErrorCode MatMatMultSymbolic_SeqDense_SeqAIJ(Mat A,Mat B,PetscReal fill,Mat *C)
3851 {
3852   PetscErrorCode ierr;
3853   PetscInt       m=A->rmap->n,n=B->cmap->n;
3854   Mat            Cmat;
3855 
3856   PetscFunctionBegin;
3857   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);
3858   ierr = MatCreate(PetscObjectComm((PetscObject)A),&Cmat);CHKERRQ(ierr);
3859   ierr = MatSetSizes(Cmat,m,n,m,n);CHKERRQ(ierr);
3860   ierr = MatSetBlockSizesFromMats(Cmat,A,B);CHKERRQ(ierr);
3861   ierr = MatSetType(Cmat,MATSEQDENSE);CHKERRQ(ierr);
3862   ierr = MatSeqDenseSetPreallocation(Cmat,NULL);CHKERRQ(ierr);
3863 
3864   Cmat->ops->matmultnumeric = MatMatMultNumeric_SeqDense_SeqAIJ;
3865 
3866   *C = Cmat;
3867   PetscFunctionReturn(0);
3868 }
3869 
3870 /* ----------------------------------------------------------------*/
3871 #undef __FUNCT__
3872 #define __FUNCT__ "MatMatMult_SeqDense_SeqAIJ"
3873 PetscErrorCode MatMatMult_SeqDense_SeqAIJ(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
3874 {
3875   PetscErrorCode ierr;
3876 
3877   PetscFunctionBegin;
3878   if (scall == MAT_INITIAL_MATRIX) {
3879     ierr = PetscLogEventBegin(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
3880     ierr = MatMatMultSymbolic_SeqDense_SeqAIJ(A,B,fill,C);CHKERRQ(ierr);
3881     ierr = PetscLogEventEnd(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
3882   }
3883   ierr = PetscLogEventBegin(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
3884   ierr = MatMatMultNumeric_SeqDense_SeqAIJ(A,B,*C);CHKERRQ(ierr);
3885   ierr = PetscLogEventEnd(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
3886   PetscFunctionReturn(0);
3887 }
3888 
3889 
3890 /*MC
3891    MATSEQAIJ - MATSEQAIJ = "seqaij" - A matrix type to be used for sequential sparse matrices,
3892    based on compressed sparse row format.
3893 
3894    Options Database Keys:
3895 . -mat_type seqaij - sets the matrix type to "seqaij" during a call to MatSetFromOptions()
3896 
3897   Level: beginner
3898 
3899 .seealso: MatCreateSeqAIJ(), MatSetFromOptions(), MatSetType(), MatCreate(), MatType
3900 M*/
3901 
3902 /*MC
3903    MATAIJ - MATAIJ = "aij" - A matrix type to be used for sparse matrices.
3904 
3905    This matrix type is identical to MATSEQAIJ when constructed with a single process communicator,
3906    and MATMPIAIJ otherwise.  As a result, for single process communicators,
3907   MatSeqAIJSetPreallocation is supported, and similarly MatMPIAIJSetPreallocation is supported
3908   for communicators controlling multiple processes.  It is recommended that you call both of
3909   the above preallocation routines for simplicity.
3910 
3911    Options Database Keys:
3912 . -mat_type aij - sets the matrix type to "aij" during a call to MatSetFromOptions()
3913 
3914   Developer Notes: Subclasses include MATAIJCUSP, MATAIJPERM, MATAIJCRL, and also automatically switches over to use inodes when
3915    enough exist.
3916 
3917   Level: beginner
3918 
3919 .seealso: MatCreateAIJ(), MatCreateSeqAIJ(), MATSEQAIJ,MATMPIAIJ
3920 M*/
3921 
3922 /*MC
3923    MATAIJCRL - MATAIJCRL = "aijcrl" - A matrix type to be used for sparse matrices.
3924 
3925    This matrix type is identical to MATSEQAIJCRL when constructed with a single process communicator,
3926    and MATMPIAIJCRL otherwise.  As a result, for single process communicators,
3927    MatSeqAIJSetPreallocation() is supported, and similarly MatMPIAIJSetPreallocation() is supported
3928   for communicators controlling multiple processes.  It is recommended that you call both of
3929   the above preallocation routines for simplicity.
3930 
3931    Options Database Keys:
3932 . -mat_type aijcrl - sets the matrix type to "aijcrl" during a call to MatSetFromOptions()
3933 
3934   Level: beginner
3935 
3936 .seealso: MatCreateMPIAIJCRL,MATSEQAIJCRL,MATMPIAIJCRL, MATSEQAIJCRL, MATMPIAIJCRL
3937 M*/
3938 
3939 #if defined(PETSC_HAVE_PASTIX)
3940 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_pastix(Mat,MatFactorType,Mat*);
3941 #endif
3942 #if defined(PETSC_HAVE_ESSL) && !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_REAL_SINGLE) && !defined(PETSC_USE_REAL___FLOAT128)
3943 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_essl(Mat,MatFactorType,Mat*);
3944 #endif
3945 PETSC_EXTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJCRL(Mat,MatType,MatReuse,Mat*);
3946 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_petsc(Mat,MatFactorType,Mat*);
3947 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_bas(Mat,MatFactorType,Mat*);
3948 extern PetscErrorCode  MatGetFactorAvailable_seqaij_petsc(Mat,MatFactorType,PetscBool*);
3949 #if defined(PETSC_HAVE_MUMPS)
3950 PETSC_EXTERN PetscErrorCode MatGetFactor_aij_mumps(Mat,MatFactorType,Mat*);
3951 #endif
3952 #if defined(PETSC_HAVE_SUPERLU)
3953 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_superlu(Mat,MatFactorType,Mat*);
3954 #endif
3955 #if defined(PETSC_HAVE_SUPERLU_DIST)
3956 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_superlu_dist(Mat,MatFactorType,Mat*);
3957 #endif
3958 #if defined(PETSC_HAVE_SUITESPARSE)
3959 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_umfpack(Mat,MatFactorType,Mat*);
3960 #endif
3961 #if defined(PETSC_HAVE_SUITESPARSE)
3962 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_cholmod(Mat,MatFactorType,Mat*);
3963 #endif
3964 #if defined(PETSC_HAVE_SUITESPARSE)
3965 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_klu(Mat,MatFactorType,Mat*);
3966 #endif
3967 #if defined(PETSC_HAVE_LUSOL)
3968 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_lusol(Mat,MatFactorType,Mat*);
3969 #endif
3970 #if defined(PETSC_HAVE_MATLAB_ENGINE)
3971 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_matlab(Mat,MatFactorType,Mat*);
3972 extern PetscErrorCode  MatlabEnginePut_SeqAIJ(PetscObject,void*);
3973 extern PetscErrorCode  MatlabEngineGet_SeqAIJ(PetscObject,void*);
3974 #endif
3975 #if defined(PETSC_HAVE_CLIQUE)
3976 PETSC_EXTERN PetscErrorCode MatGetFactor_aij_clique(Mat,MatFactorType,Mat*);
3977 #endif
3978 
3979 
3980 #undef __FUNCT__
3981 #define __FUNCT__ "MatSeqAIJGetArray"
3982 /*@C
3983    MatSeqAIJGetArray - gives access to the array where the data for a SeqSeqAIJ matrix is stored
3984 
3985    Not Collective
3986 
3987    Input Parameter:
3988 .  mat - a MATSEQDENSE matrix
3989 
3990    Output Parameter:
3991 .   array - pointer to the data
3992 
3993    Level: intermediate
3994 
3995 .seealso: MatSeqAIJRestoreArray(), MatSeqAIJGetArrayF90()
3996 @*/
3997 PetscErrorCode  MatSeqAIJGetArray(Mat A,PetscScalar **array)
3998 {
3999   PetscErrorCode ierr;
4000 
4001   PetscFunctionBegin;
4002   ierr = PetscUseMethod(A,"MatSeqAIJGetArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
4003   PetscFunctionReturn(0);
4004 }
4005 
4006 #undef __FUNCT__
4007 #define __FUNCT__ "MatSeqAIJRestoreArray"
4008 /*@C
4009    MatSeqAIJRestoreArray - returns access to the array where the data for a SeqSeqAIJ matrix is stored obtained by MatSeqAIJGetArray()
4010 
4011    Not Collective
4012 
4013    Input Parameters:
4014 .  mat - a MATSEQDENSE matrix
4015 .  array - pointer to the data
4016 
4017    Level: intermediate
4018 
4019 .seealso: MatSeqAIJGetArray(), MatSeqAIJRestoreArrayF90()
4020 @*/
4021 PetscErrorCode  MatSeqAIJRestoreArray(Mat A,PetscScalar **array)
4022 {
4023   PetscErrorCode ierr;
4024 
4025   PetscFunctionBegin;
4026   ierr = PetscUseMethod(A,"MatSeqAIJRestoreArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
4027   PetscFunctionReturn(0);
4028 }
4029 
4030 #undef __FUNCT__
4031 #define __FUNCT__ "MatCreate_SeqAIJ"
4032 PETSC_EXTERN PetscErrorCode MatCreate_SeqAIJ(Mat B)
4033 {
4034   Mat_SeqAIJ     *b;
4035   PetscErrorCode ierr;
4036   PetscMPIInt    size;
4037 
4038   PetscFunctionBegin;
4039   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&size);CHKERRQ(ierr);
4040   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Comm must be of size 1");
4041 
4042   ierr = PetscNewLog(B,&b);CHKERRQ(ierr);
4043 
4044   B->data = (void*)b;
4045 
4046   ierr = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
4047 
4048   b->row                = 0;
4049   b->col                = 0;
4050   b->icol               = 0;
4051   b->reallocs           = 0;
4052   b->ignorezeroentries  = PETSC_FALSE;
4053   b->roworiented        = PETSC_TRUE;
4054   b->nonew              = 0;
4055   b->diag               = 0;
4056   b->solve_work         = 0;
4057   B->spptr              = 0;
4058   b->saved_values       = 0;
4059   b->idiag              = 0;
4060   b->mdiag              = 0;
4061   b->ssor_work          = 0;
4062   b->omega              = 1.0;
4063   b->fshift             = 0.0;
4064   b->idiagvalid         = PETSC_FALSE;
4065   b->ibdiagvalid        = PETSC_FALSE;
4066   b->keepnonzeropattern = PETSC_FALSE;
4067   b->xtoy               = 0;
4068   b->XtoY               = 0;
4069 
4070   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
4071   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJGetArray_C",MatSeqAIJGetArray_SeqAIJ);CHKERRQ(ierr);
4072   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJRestoreArray_C",MatSeqAIJRestoreArray_SeqAIJ);CHKERRQ(ierr);
4073 
4074 #if defined(PETSC_HAVE_MATLAB_ENGINE)
4075   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_matlab_C",MatGetFactor_seqaij_matlab);CHKERRQ(ierr);
4076   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEnginePut_C",MatlabEnginePut_SeqAIJ);CHKERRQ(ierr);
4077   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEngineGet_C",MatlabEngineGet_SeqAIJ);CHKERRQ(ierr);
4078 #endif
4079 #if defined(PETSC_HAVE_PASTIX)
4080   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_pastix_C",MatGetFactor_seqaij_pastix);CHKERRQ(ierr);
4081 #endif
4082 #if defined(PETSC_HAVE_ESSL) && !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_REAL_SINGLE) && !defined(PETSC_USE_REAL___FLOAT128)
4083   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_essl_C",MatGetFactor_seqaij_essl);CHKERRQ(ierr);
4084 #endif
4085 #if defined(PETSC_HAVE_SUPERLU)
4086   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_superlu_C",MatGetFactor_seqaij_superlu);CHKERRQ(ierr);
4087 #endif
4088 #if defined(PETSC_HAVE_SUPERLU_DIST)
4089   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_superlu_dist_C",MatGetFactor_seqaij_superlu_dist);CHKERRQ(ierr);
4090 #endif
4091 #if defined(PETSC_HAVE_MUMPS)
4092   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_mumps_C",MatGetFactor_aij_mumps);CHKERRQ(ierr);
4093 #endif
4094 #if defined(PETSC_HAVE_SUITESPARSE)
4095   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_umfpack_C",MatGetFactor_seqaij_umfpack);CHKERRQ(ierr);
4096 #endif
4097 #if defined(PETSC_HAVE_SUITESPARSE)
4098   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_cholmod_C",MatGetFactor_seqaij_cholmod);CHKERRQ(ierr);
4099 #endif
4100 #if defined(PETSC_HAVE_SUITESPARSE)
4101   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_klu_C",MatGetFactor_seqaij_klu);CHKERRQ(ierr);
4102 #endif
4103 #if defined(PETSC_HAVE_LUSOL)
4104   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_lusol_C",MatGetFactor_seqaij_lusol);CHKERRQ(ierr);
4105 #endif
4106 #if defined(PETSC_HAVE_CLIQUE)
4107   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_clique_C",MatGetFactor_aij_clique);CHKERRQ(ierr);
4108 #endif
4109 
4110   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_petsc_C",MatGetFactor_seqaij_petsc);CHKERRQ(ierr);
4111   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactorAvailable_petsc_C",MatGetFactorAvailable_seqaij_petsc);CHKERRQ(ierr);
4112   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_bas_C",MatGetFactor_seqaij_bas);CHKERRQ(ierr);
4113   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetColumnIndices_C",MatSeqAIJSetColumnIndices_SeqAIJ);CHKERRQ(ierr);
4114   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_SeqAIJ);CHKERRQ(ierr);
4115   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_SeqAIJ);CHKERRQ(ierr);
4116   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqsbaij_C",MatConvert_SeqAIJ_SeqSBAIJ);CHKERRQ(ierr);
4117   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqbaij_C",MatConvert_SeqAIJ_SeqBAIJ);CHKERRQ(ierr);
4118   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijperm_C",MatConvert_SeqAIJ_SeqAIJPERM);CHKERRQ(ierr);
4119   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijcrl_C",MatConvert_SeqAIJ_SeqAIJCRL);CHKERRQ(ierr);
4120   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4121   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsHermitianTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4122   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocation_C",MatSeqAIJSetPreallocation_SeqAIJ);CHKERRQ(ierr);
4123   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocationCSR_C",MatSeqAIJSetPreallocationCSR_SeqAIJ);CHKERRQ(ierr);
4124   ierr = PetscObjectComposeFunction((PetscObject)B,"MatReorderForNonzeroDiagonal_C",MatReorderForNonzeroDiagonal_SeqAIJ);CHKERRQ(ierr);
4125   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMult_seqdense_seqaij_C",MatMatMult_SeqDense_SeqAIJ);CHKERRQ(ierr);
4126   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultSymbolic_seqdense_seqaij_C",MatMatMultSymbolic_SeqDense_SeqAIJ);CHKERRQ(ierr);
4127   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultNumeric_seqdense_seqaij_C",MatMatMultNumeric_SeqDense_SeqAIJ);CHKERRQ(ierr);
4128   ierr = MatCreate_SeqAIJ_Inode(B);CHKERRQ(ierr);
4129   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
4130   PetscFunctionReturn(0);
4131 }
4132 
4133 #undef __FUNCT__
4134 #define __FUNCT__ "MatDuplicateNoCreate_SeqAIJ"
4135 /*
4136     Given a matrix generated with MatGetFactor() duplicates all the information in A into B
4137 */
4138 PetscErrorCode MatDuplicateNoCreate_SeqAIJ(Mat C,Mat A,MatDuplicateOption cpvalues,PetscBool mallocmatspace)
4139 {
4140   Mat_SeqAIJ     *c,*a = (Mat_SeqAIJ*)A->data;
4141   PetscErrorCode ierr;
4142   PetscInt       i,m = A->rmap->n;
4143 
4144   PetscFunctionBegin;
4145   c = (Mat_SeqAIJ*)C->data;
4146 
4147   C->factortype = A->factortype;
4148   c->row        = 0;
4149   c->col        = 0;
4150   c->icol       = 0;
4151   c->reallocs   = 0;
4152 
4153   C->assembled = PETSC_TRUE;
4154 
4155   ierr = PetscLayoutReference(A->rmap,&C->rmap);CHKERRQ(ierr);
4156   ierr = PetscLayoutReference(A->cmap,&C->cmap);CHKERRQ(ierr);
4157 
4158   ierr = PetscMalloc2(m,&c->imax,m,&c->ilen);CHKERRQ(ierr);
4159   ierr = PetscLogObjectMemory((PetscObject)C, 2*m*sizeof(PetscInt));CHKERRQ(ierr);
4160   for (i=0; i<m; i++) {
4161     c->imax[i] = a->imax[i];
4162     c->ilen[i] = a->ilen[i];
4163   }
4164 
4165   /* allocate the matrix space */
4166   if (mallocmatspace) {
4167     ierr = PetscMalloc3(a->i[m],&c->a,a->i[m],&c->j,m+1,&c->i);CHKERRQ(ierr);
4168     ierr = PetscLogObjectMemory((PetscObject)C, a->i[m]*(sizeof(PetscScalar)+sizeof(PetscInt))+(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4169 
4170     c->singlemalloc = PETSC_TRUE;
4171 
4172     ierr = PetscMemcpy(c->i,a->i,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4173     if (m > 0) {
4174       ierr = PetscMemcpy(c->j,a->j,(a->i[m])*sizeof(PetscInt));CHKERRQ(ierr);
4175       if (cpvalues == MAT_COPY_VALUES) {
4176         ierr = PetscMemcpy(c->a,a->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4177       } else {
4178         ierr = PetscMemzero(c->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4179       }
4180     }
4181   }
4182 
4183   c->ignorezeroentries = a->ignorezeroentries;
4184   c->roworiented       = a->roworiented;
4185   c->nonew             = a->nonew;
4186   if (a->diag) {
4187     ierr = PetscMalloc1((m+1),&c->diag);CHKERRQ(ierr);
4188     ierr = PetscLogObjectMemory((PetscObject)C,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4189     for (i=0; i<m; i++) {
4190       c->diag[i] = a->diag[i];
4191     }
4192   } else c->diag = 0;
4193 
4194   c->solve_work         = 0;
4195   c->saved_values       = 0;
4196   c->idiag              = 0;
4197   c->ssor_work          = 0;
4198   c->keepnonzeropattern = a->keepnonzeropattern;
4199   c->free_a             = PETSC_TRUE;
4200   c->free_ij            = PETSC_TRUE;
4201   c->xtoy               = 0;
4202   c->XtoY               = 0;
4203 
4204   c->rmax         = a->rmax;
4205   c->nz           = a->nz;
4206   c->maxnz        = a->nz;       /* Since we allocate exactly the right amount */
4207   C->preallocated = PETSC_TRUE;
4208 
4209   c->compressedrow.use   = a->compressedrow.use;
4210   c->compressedrow.nrows = a->compressedrow.nrows;
4211   if (a->compressedrow.use) {
4212     i    = a->compressedrow.nrows;
4213     ierr = PetscMalloc2(i+1,&c->compressedrow.i,i,&c->compressedrow.rindex);CHKERRQ(ierr);
4214     ierr = PetscMemcpy(c->compressedrow.i,a->compressedrow.i,(i+1)*sizeof(PetscInt));CHKERRQ(ierr);
4215     ierr = PetscMemcpy(c->compressedrow.rindex,a->compressedrow.rindex,i*sizeof(PetscInt));CHKERRQ(ierr);
4216   } else {
4217     c->compressedrow.use    = PETSC_FALSE;
4218     c->compressedrow.i      = NULL;
4219     c->compressedrow.rindex = NULL;
4220   }
4221   C->nonzerostate = A->nonzerostate;
4222 
4223   ierr = MatDuplicate_SeqAIJ_Inode(A,cpvalues,&C);CHKERRQ(ierr);
4224   ierr = PetscFunctionListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
4225   PetscFunctionReturn(0);
4226 }
4227 
4228 #undef __FUNCT__
4229 #define __FUNCT__ "MatDuplicate_SeqAIJ"
4230 PetscErrorCode MatDuplicate_SeqAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
4231 {
4232   PetscErrorCode ierr;
4233 
4234   PetscFunctionBegin;
4235   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
4236   ierr = MatSetSizes(*B,A->rmap->n,A->cmap->n,A->rmap->n,A->cmap->n);CHKERRQ(ierr);
4237   if (!(A->rmap->n % A->rmap->bs) && !(A->cmap->n % A->cmap->bs)) {
4238     ierr = MatSetBlockSizesFromMats(*B,A,A);CHKERRQ(ierr);
4239   }
4240   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
4241   ierr = MatDuplicateNoCreate_SeqAIJ(*B,A,cpvalues,PETSC_TRUE);CHKERRQ(ierr);
4242   PetscFunctionReturn(0);
4243 }
4244 
4245 #undef __FUNCT__
4246 #define __FUNCT__ "MatLoad_SeqAIJ"
4247 PetscErrorCode MatLoad_SeqAIJ(Mat newMat, PetscViewer viewer)
4248 {
4249   Mat_SeqAIJ     *a;
4250   PetscErrorCode ierr;
4251   PetscInt       i,sum,nz,header[4],*rowlengths = 0,M,N,rows,cols;
4252   int            fd;
4253   PetscMPIInt    size;
4254   MPI_Comm       comm;
4255   PetscInt       bs = 1;
4256 
4257   PetscFunctionBegin;
4258   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
4259   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4260   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"view must have one processor");
4261 
4262   ierr = PetscOptionsBegin(comm,NULL,"Options for loading SEQAIJ matrix","Mat");CHKERRQ(ierr);
4263   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
4264   ierr = PetscOptionsEnd();CHKERRQ(ierr);
4265   if (bs > 1) {ierr = MatSetBlockSize(newMat,bs);CHKERRQ(ierr);}
4266 
4267   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
4268   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
4269   if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object in file");
4270   M = header[1]; N = header[2]; nz = header[3];
4271 
4272   if (nz < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk,cannot load as SeqAIJ");
4273 
4274   /* read in row lengths */
4275   ierr = PetscMalloc1(M,&rowlengths);CHKERRQ(ierr);
4276   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
4277 
4278   /* check if sum of rowlengths is same as nz */
4279   for (i=0,sum=0; i< M; i++) sum +=rowlengths[i];
4280   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);
4281 
4282   /* set global size if not set already*/
4283   if (newMat->rmap->n < 0 && newMat->rmap->N < 0 && newMat->cmap->n < 0 && newMat->cmap->N < 0) {
4284     ierr = MatSetSizes(newMat,PETSC_DECIDE,PETSC_DECIDE,M,N);CHKERRQ(ierr);
4285   } else {
4286     /* if sizes and type are already set, check if the vector global sizes are correct */
4287     ierr = MatGetSize(newMat,&rows,&cols);CHKERRQ(ierr);
4288     if (rows < 0 && cols < 0) { /* user might provide local size instead of global size */
4289       ierr = MatGetLocalSize(newMat,&rows,&cols);CHKERRQ(ierr);
4290     }
4291     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);
4292   }
4293   ierr = MatSeqAIJSetPreallocation_SeqAIJ(newMat,0,rowlengths);CHKERRQ(ierr);
4294   a    = (Mat_SeqAIJ*)newMat->data;
4295 
4296   ierr = PetscBinaryRead(fd,a->j,nz,PETSC_INT);CHKERRQ(ierr);
4297 
4298   /* read in nonzero values */
4299   ierr = PetscBinaryRead(fd,a->a,nz,PETSC_SCALAR);CHKERRQ(ierr);
4300 
4301   /* set matrix "i" values */
4302   a->i[0] = 0;
4303   for (i=1; i<= M; i++) {
4304     a->i[i]      = a->i[i-1] + rowlengths[i-1];
4305     a->ilen[i-1] = rowlengths[i-1];
4306   }
4307   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
4308 
4309   ierr = MatAssemblyBegin(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4310   ierr = MatAssemblyEnd(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4311   PetscFunctionReturn(0);
4312 }
4313 
4314 #undef __FUNCT__
4315 #define __FUNCT__ "MatEqual_SeqAIJ"
4316 PetscErrorCode MatEqual_SeqAIJ(Mat A,Mat B,PetscBool * flg)
4317 {
4318   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*b = (Mat_SeqAIJ*)B->data;
4319   PetscErrorCode ierr;
4320 #if defined(PETSC_USE_COMPLEX)
4321   PetscInt k;
4322 #endif
4323 
4324   PetscFunctionBegin;
4325   /* If the  matrix dimensions are not equal,or no of nonzeros */
4326   if ((A->rmap->n != B->rmap->n) || (A->cmap->n != B->cmap->n) ||(a->nz != b->nz)) {
4327     *flg = PETSC_FALSE;
4328     PetscFunctionReturn(0);
4329   }
4330 
4331   /* if the a->i are the same */
4332   ierr = PetscMemcmp(a->i,b->i,(A->rmap->n+1)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4333   if (!*flg) PetscFunctionReturn(0);
4334 
4335   /* if a->j are the same */
4336   ierr = PetscMemcmp(a->j,b->j,(a->nz)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4337   if (!*flg) PetscFunctionReturn(0);
4338 
4339   /* if a->a are the same */
4340 #if defined(PETSC_USE_COMPLEX)
4341   for (k=0; k<a->nz; k++) {
4342     if (PetscRealPart(a->a[k]) != PetscRealPart(b->a[k]) || PetscImaginaryPart(a->a[k]) != PetscImaginaryPart(b->a[k])) {
4343       *flg = PETSC_FALSE;
4344       PetscFunctionReturn(0);
4345     }
4346   }
4347 #else
4348   ierr = PetscMemcmp(a->a,b->a,(a->nz)*sizeof(PetscScalar),flg);CHKERRQ(ierr);
4349 #endif
4350   PetscFunctionReturn(0);
4351 }
4352 
4353 #undef __FUNCT__
4354 #define __FUNCT__ "MatCreateSeqAIJWithArrays"
4355 /*@
4356      MatCreateSeqAIJWithArrays - Creates an sequential AIJ matrix using matrix elements (in CSR format)
4357               provided by the user.
4358 
4359       Collective on MPI_Comm
4360 
4361    Input Parameters:
4362 +   comm - must be an MPI communicator of size 1
4363 .   m - number of rows
4364 .   n - number of columns
4365 .   i - row indices
4366 .   j - column indices
4367 -   a - matrix values
4368 
4369    Output Parameter:
4370 .   mat - the matrix
4371 
4372    Level: intermediate
4373 
4374    Notes:
4375        The i, j, and a arrays are not copied by this routine, the user must free these arrays
4376     once the matrix is destroyed and not before
4377 
4378        You cannot set new nonzero locations into this matrix, that will generate an error.
4379 
4380        The i and j indices are 0 based
4381 
4382        The format which is used for the sparse matrix input, is equivalent to a
4383     row-major ordering.. i.e for the following matrix, the input data expected is
4384     as shown:
4385 
4386         1 0 0
4387         2 0 3
4388         4 5 6
4389 
4390         i =  {0,1,3,6}  [size = nrow+1  = 3+1]
4391         j =  {0,0,2,0,1,2}  [size = nz = 6]; values must be sorted for each row
4392         v =  {1,2,3,4,5,6}  [size = nz = 6]
4393 
4394 
4395 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateMPIAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4396 
4397 @*/
4398 PetscErrorCode  MatCreateSeqAIJWithArrays(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt *i,PetscInt *j,PetscScalar *a,Mat *mat)
4399 {
4400   PetscErrorCode ierr;
4401   PetscInt       ii;
4402   Mat_SeqAIJ     *aij;
4403 #if defined(PETSC_USE_DEBUG)
4404   PetscInt jj;
4405 #endif
4406 
4407   PetscFunctionBegin;
4408   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
4409   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4410   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4411   /* ierr = MatSetBlockSizes(*mat,,);CHKERRQ(ierr); */
4412   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4413   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
4414   aij  = (Mat_SeqAIJ*)(*mat)->data;
4415   ierr = PetscMalloc2(m,&aij->imax,m,&aij->ilen);CHKERRQ(ierr);
4416 
4417   aij->i            = i;
4418   aij->j            = j;
4419   aij->a            = a;
4420   aij->singlemalloc = PETSC_FALSE;
4421   aij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
4422   aij->free_a       = PETSC_FALSE;
4423   aij->free_ij      = PETSC_FALSE;
4424 
4425   for (ii=0; ii<m; ii++) {
4426     aij->ilen[ii] = aij->imax[ii] = i[ii+1] - i[ii];
4427 #if defined(PETSC_USE_DEBUG)
4428     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]);
4429     for (jj=i[ii]+1; jj<i[ii+1]; jj++) {
4430       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);
4431       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);
4432     }
4433 #endif
4434   }
4435 #if defined(PETSC_USE_DEBUG)
4436   for (ii=0; ii<aij->i[m]; ii++) {
4437     if (j[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %D index = %D",ii,j[ii]);
4438     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]);
4439   }
4440 #endif
4441 
4442   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4443   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4444   PetscFunctionReturn(0);
4445 }
4446 #undef __FUNCT__
4447 #define __FUNCT__ "MatCreateSeqAIJFromTriple"
4448 /*@C
4449      MatCreateSeqAIJFromTriple - Creates an sequential AIJ matrix using matrix elements (in COO format)
4450               provided by the user.
4451 
4452       Collective on MPI_Comm
4453 
4454    Input Parameters:
4455 +   comm - must be an MPI communicator of size 1
4456 .   m   - number of rows
4457 .   n   - number of columns
4458 .   i   - row indices
4459 .   j   - column indices
4460 .   a   - matrix values
4461 .   nz  - number of nonzeros
4462 -   idx - 0 or 1 based
4463 
4464    Output Parameter:
4465 .   mat - the matrix
4466 
4467    Level: intermediate
4468 
4469    Notes:
4470        The i and j indices are 0 based
4471 
4472        The format which is used for the sparse matrix input, is equivalent to a
4473     row-major ordering.. i.e for the following matrix, the input data expected is
4474     as shown:
4475 
4476         1 0 0
4477         2 0 3
4478         4 5 6
4479 
4480         i =  {0,1,1,2,2,2}
4481         j =  {0,0,2,0,1,2}
4482         v =  {1,2,3,4,5,6}
4483 
4484 
4485 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateSeqAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4486 
4487 @*/
4488 PetscErrorCode  MatCreateSeqAIJFromTriple(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt *i,PetscInt *j,PetscScalar *a,Mat *mat,PetscInt nz,PetscBool idx)
4489 {
4490   PetscErrorCode ierr;
4491   PetscInt       ii, *nnz, one = 1,row,col;
4492 
4493 
4494   PetscFunctionBegin;
4495   ierr = PetscCalloc1(m,&nnz);CHKERRQ(ierr);
4496   for (ii = 0; ii < nz; ii++) {
4497     nnz[i[ii] - !!idx] += 1;
4498   }
4499   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4500   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4501   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4502   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,0,nnz);CHKERRQ(ierr);
4503   for (ii = 0; ii < nz; ii++) {
4504     if (idx) {
4505       row = i[ii] - 1;
4506       col = j[ii] - 1;
4507     } else {
4508       row = i[ii];
4509       col = j[ii];
4510     }
4511     ierr = MatSetValues(*mat,one,&row,one,&col,&a[ii],ADD_VALUES);CHKERRQ(ierr);
4512   }
4513   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4514   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4515   ierr = PetscFree(nnz);CHKERRQ(ierr);
4516   PetscFunctionReturn(0);
4517 }
4518 
4519 #undef __FUNCT__
4520 #define __FUNCT__ "MatSetColoring_SeqAIJ"
4521 PetscErrorCode MatSetColoring_SeqAIJ(Mat A,ISColoring coloring)
4522 {
4523   PetscErrorCode ierr;
4524   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
4525 
4526   PetscFunctionBegin;
4527   if (coloring->ctype == IS_COLORING_GLOBAL) {
4528     ierr        = ISColoringReference(coloring);CHKERRQ(ierr);
4529     a->coloring = coloring;
4530   } else if (coloring->ctype == IS_COLORING_GHOSTED) {
4531     PetscInt        i,*larray;
4532     ISColoring      ocoloring;
4533     ISColoringValue *colors;
4534 
4535     /* set coloring for diagonal portion */
4536     ierr = PetscMalloc1(A->cmap->n,&larray);CHKERRQ(ierr);
4537     for (i=0; i<A->cmap->n; i++) larray[i] = i;
4538     ierr = ISGlobalToLocalMappingApply(A->cmap->mapping,IS_GTOLM_MASK,A->cmap->n,larray,NULL,larray);CHKERRQ(ierr);
4539     ierr = PetscMalloc1(A->cmap->n,&colors);CHKERRQ(ierr);
4540     for (i=0; i<A->cmap->n; i++) colors[i] = coloring->colors[larray[i]];
4541     ierr        = PetscFree(larray);CHKERRQ(ierr);
4542     ierr        = ISColoringCreate(PETSC_COMM_SELF,coloring->n,A->cmap->n,colors,&ocoloring);CHKERRQ(ierr);
4543     a->coloring = ocoloring;
4544   }
4545   PetscFunctionReturn(0);
4546 }
4547 
4548 #undef __FUNCT__
4549 #define __FUNCT__ "MatSetValuesAdifor_SeqAIJ"
4550 PetscErrorCode MatSetValuesAdifor_SeqAIJ(Mat A,PetscInt nl,void *advalues)
4551 {
4552   Mat_SeqAIJ      *a      = (Mat_SeqAIJ*)A->data;
4553   PetscInt        m       = A->rmap->n,*ii = a->i,*jj = a->j,nz,i,j;
4554   MatScalar       *v      = a->a;
4555   PetscScalar     *values = (PetscScalar*)advalues;
4556   ISColoringValue *color;
4557 
4558   PetscFunctionBegin;
4559   if (!a->coloring) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Coloring not set for matrix");
4560   color = a->coloring->colors;
4561   /* loop over rows */
4562   for (i=0; i<m; i++) {
4563     nz = ii[i+1] - ii[i];
4564     /* loop over columns putting computed value into matrix */
4565     for (j=0; j<nz; j++) *v++ = values[color[*jj++]];
4566     values += nl; /* jump to next row of derivatives */
4567   }
4568   PetscFunctionReturn(0);
4569 }
4570 
4571 #undef __FUNCT__
4572 #define __FUNCT__ "MatSeqAIJInvalidateDiagonal"
4573 PetscErrorCode MatSeqAIJInvalidateDiagonal(Mat A)
4574 {
4575   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data;
4576   PetscErrorCode ierr;
4577 
4578   PetscFunctionBegin;
4579   a->idiagvalid  = PETSC_FALSE;
4580   a->ibdiagvalid = PETSC_FALSE;
4581 
4582   ierr = MatSeqAIJInvalidateDiagonal_Inode(A);CHKERRQ(ierr);
4583   PetscFunctionReturn(0);
4584 }
4585 
4586 /*
4587     Special version for direct calls from Fortran
4588 */
4589 #include <petsc-private/fortranimpl.h>
4590 #if defined(PETSC_HAVE_FORTRAN_CAPS)
4591 #define matsetvaluesseqaij_ MATSETVALUESSEQAIJ
4592 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
4593 #define matsetvaluesseqaij_ matsetvaluesseqaij
4594 #endif
4595 
4596 /* Change these macros so can be used in void function */
4597 #undef CHKERRQ
4598 #define CHKERRQ(ierr) CHKERRABORT(PetscObjectComm((PetscObject)A),ierr)
4599 #undef SETERRQ2
4600 #define SETERRQ2(comm,ierr,b,c,d) CHKERRABORT(comm,ierr)
4601 #undef SETERRQ3
4602 #define SETERRQ3(comm,ierr,b,c,d,e) CHKERRABORT(comm,ierr)
4603 
4604 #undef __FUNCT__
4605 #define __FUNCT__ "matsetvaluesseqaij_"
4606 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)
4607 {
4608   Mat            A  = *AA;
4609   PetscInt       m  = *mm, n = *nn;
4610   InsertMode     is = *isis;
4611   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
4612   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
4613   PetscInt       *imax,*ai,*ailen;
4614   PetscErrorCode ierr;
4615   PetscInt       *aj,nonew = a->nonew,lastcol = -1;
4616   MatScalar      *ap,value,*aa;
4617   PetscBool      ignorezeroentries = a->ignorezeroentries;
4618   PetscBool      roworiented       = a->roworiented;
4619 
4620   PetscFunctionBegin;
4621   MatCheckPreallocated(A,1);
4622   imax  = a->imax;
4623   ai    = a->i;
4624   ailen = a->ilen;
4625   aj    = a->j;
4626   aa    = a->a;
4627 
4628   for (k=0; k<m; k++) { /* loop over added rows */
4629     row = im[k];
4630     if (row < 0) continue;
4631 #if defined(PETSC_USE_DEBUG)
4632     if (row >= A->rmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Row too large");
4633 #endif
4634     rp   = aj + ai[row]; ap = aa + ai[row];
4635     rmax = imax[row]; nrow = ailen[row];
4636     low  = 0;
4637     high = nrow;
4638     for (l=0; l<n; l++) { /* loop over added columns */
4639       if (in[l] < 0) continue;
4640 #if defined(PETSC_USE_DEBUG)
4641       if (in[l] >= A->cmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Column too large");
4642 #endif
4643       col = in[l];
4644       if (roworiented) value = v[l + k*n];
4645       else value = v[k + l*m];
4646 
4647       if (value == 0.0 && ignorezeroentries && (is == ADD_VALUES)) continue;
4648 
4649       if (col <= lastcol) low = 0;
4650       else high = nrow;
4651       lastcol = col;
4652       while (high-low > 5) {
4653         t = (low+high)/2;
4654         if (rp[t] > col) high = t;
4655         else             low  = t;
4656       }
4657       for (i=low; i<high; i++) {
4658         if (rp[i] > col) break;
4659         if (rp[i] == col) {
4660           if (is == ADD_VALUES) ap[i] += value;
4661           else                  ap[i] = value;
4662           goto noinsert;
4663         }
4664       }
4665       if (value == 0.0 && ignorezeroentries) goto noinsert;
4666       if (nonew == 1) goto noinsert;
4667       if (nonew == -1) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero in the matrix");
4668       MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
4669       N = nrow++ - 1; a->nz++; high++;
4670       /* shift up all the later entries in this row */
4671       for (ii=N; ii>=i; ii--) {
4672         rp[ii+1] = rp[ii];
4673         ap[ii+1] = ap[ii];
4674       }
4675       rp[i] = col;
4676       ap[i] = value;
4677       A->nonzerostate++;
4678 noinsert:;
4679       low = i + 1;
4680     }
4681     ailen[row] = nrow;
4682   }
4683   PetscFunctionReturnVoid();
4684 }
4685 
4686 
4687