xref: /petsc/src/mat/impls/aij/seq/aij.c (revision 424794733bdeb77a89372f7f308a7948a9c96335)
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__ "MatFindZeroDiagonals_SeqAIJ_Private"
49 PetscErrorCode MatFindZeroDiagonals_SeqAIJ_Private(Mat A,PetscInt *nrows,PetscInt **zrows)
50 {
51   Mat_SeqAIJ      *a  = (Mat_SeqAIJ*)A->data;
52   const MatScalar *aa = a->a;
53   PetscInt        i,m=A->rmap->n,cnt = 0;
54   const PetscInt  *jj = a->j,*diag;
55   PetscInt        *rows;
56   PetscErrorCode  ierr;
57 
58   PetscFunctionBegin;
59   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
60   diag = a->diag;
61   for (i=0; i<m; i++) {
62     if ((jj[diag[i]] != i) || (aa[diag[i]] == 0.0)) {
63       cnt++;
64     }
65   }
66   ierr = PetscMalloc(cnt*sizeof(PetscInt),&rows);CHKERRQ(ierr);
67   cnt  = 0;
68   for (i=0; i<m; i++) {
69     if ((jj[diag[i]] != i) || (aa[diag[i]] == 0.0)) {
70       rows[cnt++] = i;
71     }
72   }
73   *nrows = cnt;
74   *zrows = rows;
75   PetscFunctionReturn(0);
76 }
77 
78 #undef __FUNCT__
79 #define __FUNCT__ "MatFindZeroDiagonals_SeqAIJ"
80 PetscErrorCode MatFindZeroDiagonals_SeqAIJ(Mat A,IS *zrows)
81 {
82   PetscInt       nrows,*rows;
83   PetscErrorCode ierr;
84 
85   PetscFunctionBegin;
86   *zrows = NULL;
87   ierr   = MatFindZeroDiagonals_SeqAIJ_Private(A,&nrows,&rows);CHKERRQ(ierr);
88   ierr   = ISCreateGeneral(PetscObjectComm((PetscObject)A),nrows,rows,PETSC_OWN_POINTER,zrows);CHKERRQ(ierr);
89   PetscFunctionReturn(0);
90 }
91 
92 #undef __FUNCT__
93 #define __FUNCT__ "MatFindNonzeroRows_SeqAIJ"
94 PetscErrorCode MatFindNonzeroRows_SeqAIJ(Mat A,IS *keptrows)
95 {
96   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
97   const MatScalar *aa;
98   PetscInt        m=A->rmap->n,cnt = 0;
99   const PetscInt  *ii;
100   PetscInt        n,i,j,*rows;
101   PetscErrorCode  ierr;
102 
103   PetscFunctionBegin;
104   *keptrows = 0;
105   ii        = a->i;
106   for (i=0; i<m; i++) {
107     n = ii[i+1] - ii[i];
108     if (!n) {
109       cnt++;
110       goto ok1;
111     }
112     aa = a->a + ii[i];
113     for (j=0; j<n; j++) {
114       if (aa[j] != 0.0) goto ok1;
115     }
116     cnt++;
117 ok1:;
118   }
119   if (!cnt) PetscFunctionReturn(0);
120   ierr = PetscMalloc((A->rmap->n-cnt)*sizeof(PetscInt),&rows);CHKERRQ(ierr);
121   cnt  = 0;
122   for (i=0; i<m; i++) {
123     n = ii[i+1] - ii[i];
124     if (!n) continue;
125     aa = a->a + ii[i];
126     for (j=0; j<n; j++) {
127       if (aa[j] != 0.0) {
128         rows[cnt++] = i;
129         break;
130       }
131     }
132   }
133   ierr = ISCreateGeneral(PETSC_COMM_SELF,cnt,rows,PETSC_OWN_POINTER,keptrows);CHKERRQ(ierr);
134   PetscFunctionReturn(0);
135 }
136 
137 #undef __FUNCT__
138 #define __FUNCT__ "MatDiagonalSet_SeqAIJ"
139 PetscErrorCode  MatDiagonalSet_SeqAIJ(Mat Y,Vec D,InsertMode is)
140 {
141   PetscErrorCode ierr;
142   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) Y->data;
143   PetscInt       i,*diag, m = Y->rmap->n;
144   MatScalar      *aa = aij->a;
145   PetscScalar    *v;
146   PetscBool      missing;
147 
148   PetscFunctionBegin;
149   if (Y->assembled) {
150     ierr = MatMissingDiagonal_SeqAIJ(Y,&missing,NULL);CHKERRQ(ierr);
151     if (!missing) {
152       diag = aij->diag;
153       ierr = VecGetArray(D,&v);CHKERRQ(ierr);
154       if (is == INSERT_VALUES) {
155         for (i=0; i<m; i++) {
156           aa[diag[i]] = v[i];
157         }
158       } else {
159         for (i=0; i<m; i++) {
160           aa[diag[i]] += v[i];
161         }
162       }
163       ierr = VecRestoreArray(D,&v);CHKERRQ(ierr);
164       PetscFunctionReturn(0);
165     }
166     ierr = MatSeqAIJInvalidateDiagonal(Y);CHKERRQ(ierr);
167   }
168   ierr = MatDiagonalSet_Default(Y,D,is);CHKERRQ(ierr);
169   PetscFunctionReturn(0);
170 }
171 
172 #undef __FUNCT__
173 #define __FUNCT__ "MatGetRowIJ_SeqAIJ"
174 PetscErrorCode MatGetRowIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *m,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
175 {
176   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
177   PetscErrorCode ierr;
178   PetscInt       i,ishift;
179 
180   PetscFunctionBegin;
181   *m = A->rmap->n;
182   if (!ia) PetscFunctionReturn(0);
183   ishift = 0;
184   if (symmetric && !A->structurally_symmetric) {
185     ierr = MatToSymmetricIJ_SeqAIJ(A->rmap->n,a->i,a->j,ishift,oshift,(PetscInt**)ia,(PetscInt**)ja);CHKERRQ(ierr);
186   } else if (oshift == 1) {
187     PetscInt *tia;
188     PetscInt nz = a->i[A->rmap->n];
189     /* malloc space and  add 1 to i and j indices */
190     ierr = PetscMalloc((A->rmap->n+1)*sizeof(PetscInt),&tia);CHKERRQ(ierr);
191     for (i=0; i<A->rmap->n+1; i++) tia[i] = a->i[i] + 1;
192     *ia = tia;
193     if (ja) {
194       PetscInt *tja;
195       ierr = PetscMalloc((nz+1)*sizeof(PetscInt),&tja);CHKERRQ(ierr);
196       for (i=0; i<nz; i++) tja[i] = a->j[i] + 1;
197       *ja = tja;
198     }
199   } else {
200     *ia = a->i;
201     if (ja) *ja = a->j;
202   }
203   PetscFunctionReturn(0);
204 }
205 
206 #undef __FUNCT__
207 #define __FUNCT__ "MatRestoreRowIJ_SeqAIJ"
208 PetscErrorCode MatRestoreRowIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
209 {
210   PetscErrorCode ierr;
211 
212   PetscFunctionBegin;
213   if (!ia) PetscFunctionReturn(0);
214   if ((symmetric && !A->structurally_symmetric) || oshift == 1) {
215     ierr = PetscFree(*ia);CHKERRQ(ierr);
216     if (ja) {ierr = PetscFree(*ja);CHKERRQ(ierr);}
217   }
218   PetscFunctionReturn(0);
219 }
220 
221 #undef __FUNCT__
222 #define __FUNCT__ "MatGetColumnIJ_SeqAIJ"
223 PetscErrorCode MatGetColumnIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
224 {
225   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
226   PetscErrorCode ierr;
227   PetscInt       i,*collengths,*cia,*cja,n = A->cmap->n,m = A->rmap->n;
228   PetscInt       nz = a->i[m],row,*jj,mr,col;
229 
230   PetscFunctionBegin;
231   *nn = n;
232   if (!ia) PetscFunctionReturn(0);
233   if (symmetric) {
234     ierr = MatToSymmetricIJ_SeqAIJ(A->rmap->n,a->i,a->j,0,oshift,(PetscInt**)ia,(PetscInt**)ja);CHKERRQ(ierr);
235   } else {
236     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&collengths);CHKERRQ(ierr);
237     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
238     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&cia);CHKERRQ(ierr);
239     ierr = PetscMalloc((nz+1)*sizeof(PetscInt),&cja);CHKERRQ(ierr);
240     jj   = a->j;
241     for (i=0; i<nz; i++) {
242       collengths[jj[i]]++;
243     }
244     cia[0] = oshift;
245     for (i=0; i<n; i++) {
246       cia[i+1] = cia[i] + collengths[i];
247     }
248     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
249     jj   = a->j;
250     for (row=0; row<m; row++) {
251       mr = a->i[row+1] - a->i[row];
252       for (i=0; i<mr; i++) {
253         col = *jj++;
254 
255         cja[cia[col] + collengths[col]++ - oshift] = row + oshift;
256       }
257     }
258     ierr = PetscFree(collengths);CHKERRQ(ierr);
259     *ia  = cia; *ja = cja;
260   }
261   PetscFunctionReturn(0);
262 }
263 
264 #undef __FUNCT__
265 #define __FUNCT__ "MatRestoreColumnIJ_SeqAIJ"
266 PetscErrorCode MatRestoreColumnIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
267 {
268   PetscErrorCode ierr;
269 
270   PetscFunctionBegin;
271   if (!ia) PetscFunctionReturn(0);
272 
273   ierr = PetscFree(*ia);CHKERRQ(ierr);
274   ierr = PetscFree(*ja);CHKERRQ(ierr);
275   PetscFunctionReturn(0);
276 }
277 
278 /*
279  MatGetColumnIJ_SeqAIJ_Color() and MatRestoreColumnIJ_SeqAIJ_Color() are customized from
280  MatGetColumnIJ_SeqAIJ() and MatRestoreColumnIJ_SeqAIJ() by adding an output
281  spidx[], index of a->a, to be used in MatTransposeColoringCreate_SeqAIJ() and MatFDColoringCreate_SeqAIJ()
282 */
283 #undef __FUNCT__
284 #define __FUNCT__ "MatGetColumnIJ_SeqAIJ_Color"
285 PetscErrorCode MatGetColumnIJ_SeqAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
286 {
287   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
288   PetscErrorCode ierr;
289   PetscInt       i,*collengths,*cia,*cja,n = A->cmap->n,m = A->rmap->n;
290   PetscInt       nz = a->i[m],row,*jj,mr,col;
291   PetscInt       *cspidx;
292 
293   PetscFunctionBegin;
294   *nn = n;
295   if (!ia) PetscFunctionReturn(0);
296   if (symmetric) {
297     SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"MatGetColumnIJ_SeqAIJ_Color() not supported for the case symmetric");
298     ierr = MatToSymmetricIJ_SeqAIJ(A->rmap->n,a->i,a->j,0,oshift,(PetscInt**)ia,(PetscInt**)ja);CHKERRQ(ierr);
299   } else {
300     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&collengths);CHKERRQ(ierr);
301     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
302     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&cia);CHKERRQ(ierr);
303     ierr = PetscMalloc((nz+1)*sizeof(PetscInt),&cja);CHKERRQ(ierr);
304     ierr = PetscMalloc((nz+1)*sizeof(PetscInt),&cspidx);CHKERRQ(ierr);
305     jj   = a->j;
306     for (i=0; i<nz; i++) {
307       collengths[jj[i]]++;
308     }
309     cia[0] = oshift;
310     for (i=0; i<n; i++) {
311       cia[i+1] = cia[i] + collengths[i];
312     }
313     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
314     jj   = a->j;
315     for (row=0; row<m; row++) {
316       mr = a->i[row+1] - a->i[row];
317       for (i=0; i<mr; i++) {
318         col = *jj++;
319 
320         cspidx[cia[col] + collengths[col] - oshift] = a->i[row] + i; /* index of a->j */
321         cja[cia[col] + collengths[col]++ - oshift]  = row + oshift;
322       }
323     }
324     ierr   = PetscFree(collengths);CHKERRQ(ierr);
325     *ia    = cia; *ja = cja;
326     *spidx = cspidx;
327   }
328   PetscFunctionReturn(0);
329 }
330 
331 #undef __FUNCT__
332 #define __FUNCT__ "MatRestoreColumnIJ_SeqAIJ_Color"
333 PetscErrorCode MatRestoreColumnIJ_SeqAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
334 {
335   PetscErrorCode ierr;
336 
337   PetscFunctionBegin;
338   if (!ia) PetscFunctionReturn(0);
339 
340   ierr = PetscFree(*ia);CHKERRQ(ierr);
341   ierr = PetscFree(*ja);CHKERRQ(ierr);
342   ierr = PetscFree(*spidx);CHKERRQ(ierr);
343   PetscFunctionReturn(0);
344 }
345 
346 #undef __FUNCT__
347 #define __FUNCT__ "MatSetValuesRow_SeqAIJ"
348 PetscErrorCode MatSetValuesRow_SeqAIJ(Mat A,PetscInt row,const PetscScalar v[])
349 {
350   Mat_SeqAIJ     *a  = (Mat_SeqAIJ*)A->data;
351   PetscInt       *ai = a->i;
352   PetscErrorCode ierr;
353 
354   PetscFunctionBegin;
355   ierr = PetscMemcpy(a->a+ai[row],v,(ai[row+1]-ai[row])*sizeof(PetscScalar));CHKERRQ(ierr);
356   PetscFunctionReturn(0);
357 }
358 
359 #undef __FUNCT__
360 #define __FUNCT__ "MatSetValues_SeqAIJ"
361 PetscErrorCode MatSetValues_SeqAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
362 {
363   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
364   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
365   PetscInt       *imax = a->imax,*ai = a->i,*ailen = a->ilen;
366   PetscErrorCode ierr;
367   PetscInt       *aj = a->j,nonew = a->nonew,lastcol = -1;
368   MatScalar      *ap,value,*aa = a->a;
369   PetscBool      ignorezeroentries = a->ignorezeroentries;
370   PetscBool      roworiented       = a->roworiented;
371 
372   PetscFunctionBegin;
373   if (v) PetscValidScalarPointer(v,6);
374   for (k=0; k<m; k++) { /* loop over added rows */
375     row = im[k];
376     if (row < 0) continue;
377 #if defined(PETSC_USE_DEBUG)
378     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);
379 #endif
380     rp   = aj + ai[row]; ap = aa + ai[row];
381     rmax = imax[row]; nrow = ailen[row];
382     low  = 0;
383     high = nrow;
384     for (l=0; l<n; l++) { /* loop over added columns */
385       if (in[l] < 0) continue;
386 #if defined(PETSC_USE_DEBUG)
387       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);
388 #endif
389       col = in[l];
390       if (v) {
391         if (roworiented) {
392           value = v[l + k*n];
393         } else {
394           value = v[k + l*m];
395         }
396       } else {
397         value = 0.;
398       }
399       if (value == 0.0 && ignorezeroentries && (is == ADD_VALUES)) continue;
400 
401       if (col <= lastcol) low = 0;
402       else high = nrow;
403       lastcol = col;
404       while (high-low > 5) {
405         t = (low+high)/2;
406         if (rp[t] > col) high = t;
407         else low = t;
408       }
409       for (i=low; i<high; i++) {
410         if (rp[i] > col) break;
411         if (rp[i] == col) {
412           if (is == ADD_VALUES) ap[i] += value;
413           else ap[i] = value;
414           low = i + 1;
415           goto noinsert;
416         }
417       }
418       if (value == 0.0 && ignorezeroentries) goto noinsert;
419       if (nonew == 1) goto noinsert;
420       if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero at (%D,%D) in the matrix",row,col);
421       MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
422       N = nrow++ - 1; a->nz++; high++;
423       /* shift up all the later entries in this row */
424       for (ii=N; ii>=i; ii--) {
425         rp[ii+1] = rp[ii];
426         ap[ii+1] = ap[ii];
427       }
428       rp[i] = col;
429       ap[i] = value;
430       low   = i + 1;
431 noinsert:;
432     }
433     ailen[row] = nrow;
434   }
435   A->same_nonzero = PETSC_FALSE;
436   PetscFunctionReturn(0);
437 }
438 
439 
440 #undef __FUNCT__
441 #define __FUNCT__ "MatGetValues_SeqAIJ"
442 PetscErrorCode MatGetValues_SeqAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],PetscScalar v[])
443 {
444   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
445   PetscInt   *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
446   PetscInt   *ai = a->i,*ailen = a->ilen;
447   MatScalar  *ap,*aa = a->a;
448 
449   PetscFunctionBegin;
450   for (k=0; k<m; k++) { /* loop over rows */
451     row = im[k];
452     if (row < 0) {v += n; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",row); */
453     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);
454     rp   = aj + ai[row]; ap = aa + ai[row];
455     nrow = ailen[row];
456     for (l=0; l<n; l++) { /* loop over columns */
457       if (in[l] < 0) {v++; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column: %D",in[l]); */
458       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);
459       col  = in[l];
460       high = nrow; low = 0; /* assume unsorted */
461       while (high-low > 5) {
462         t = (low+high)/2;
463         if (rp[t] > col) high = t;
464         else low = t;
465       }
466       for (i=low; i<high; i++) {
467         if (rp[i] > col) break;
468         if (rp[i] == col) {
469           *v++ = ap[i];
470           goto finished;
471         }
472       }
473       *v++ = 0.0;
474 finished:;
475     }
476   }
477   PetscFunctionReturn(0);
478 }
479 
480 
481 #undef __FUNCT__
482 #define __FUNCT__ "MatView_SeqAIJ_Binary"
483 PetscErrorCode MatView_SeqAIJ_Binary(Mat A,PetscViewer viewer)
484 {
485   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
486   PetscErrorCode ierr;
487   PetscInt       i,*col_lens;
488   int            fd;
489   FILE           *file;
490 
491   PetscFunctionBegin;
492   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
493   ierr = PetscMalloc((4+A->rmap->n)*sizeof(PetscInt),&col_lens);CHKERRQ(ierr);
494 
495   col_lens[0] = MAT_FILE_CLASSID;
496   col_lens[1] = A->rmap->n;
497   col_lens[2] = A->cmap->n;
498   col_lens[3] = a->nz;
499 
500   /* store lengths of each row and write (including header) to file */
501   for (i=0; i<A->rmap->n; i++) {
502     col_lens[4+i] = a->i[i+1] - a->i[i];
503   }
504   ierr = PetscBinaryWrite(fd,col_lens,4+A->rmap->n,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
505   ierr = PetscFree(col_lens);CHKERRQ(ierr);
506 
507   /* store column indices (zero start index) */
508   ierr = PetscBinaryWrite(fd,a->j,a->nz,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
509 
510   /* store nonzero values */
511   ierr = PetscBinaryWrite(fd,a->a,a->nz,PETSC_SCALAR,PETSC_FALSE);CHKERRQ(ierr);
512 
513   ierr = PetscViewerBinaryGetInfoPointer(viewer,&file);CHKERRQ(ierr);
514   if (file) {
515     fprintf(file,"-matload_block_size %d\n",(int)A->rmap->bs);
516   }
517   PetscFunctionReturn(0);
518 }
519 
520 extern PetscErrorCode MatSeqAIJFactorInfo_Matlab(Mat,PetscViewer);
521 
522 #undef __FUNCT__
523 #define __FUNCT__ "MatView_SeqAIJ_ASCII"
524 PetscErrorCode MatView_SeqAIJ_ASCII(Mat A,PetscViewer viewer)
525 {
526   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
527   PetscErrorCode    ierr;
528   PetscInt          i,j,m = A->rmap->n,shift=0;
529   const char        *name;
530   PetscViewerFormat format;
531 
532   PetscFunctionBegin;
533   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
534   if (format == PETSC_VIEWER_ASCII_MATLAB) {
535     PetscInt nofinalvalue = 0;
536     if (m && ((a->i[m] == a->i[m-1]) || (a->j[a->nz-1] != A->cmap->n-!shift))) {
537       nofinalvalue = 1;
538     }
539     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
540     ierr = PetscViewerASCIIPrintf(viewer,"%% Size = %D %D \n",m,A->cmap->n);CHKERRQ(ierr);
541     ierr = PetscViewerASCIIPrintf(viewer,"%% Nonzeros = %D \n",a->nz);CHKERRQ(ierr);
542     ierr = PetscViewerASCIIPrintf(viewer,"zzz = zeros(%D,3);\n",a->nz+nofinalvalue);CHKERRQ(ierr);
543     ierr = PetscViewerASCIIPrintf(viewer,"zzz = [\n");CHKERRQ(ierr);
544 
545     for (i=0; i<m; i++) {
546       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
547 #if defined(PETSC_USE_COMPLEX)
548         ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e + %18.16ei \n",i+1,a->j[j]+!shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
549 #else
550         ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e\n",i+1,a->j[j]+!shift,a->a[j]);CHKERRQ(ierr);
551 #endif
552       }
553     }
554     if (nofinalvalue) {
555       ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e\n",m,A->cmap->n,0.0);CHKERRQ(ierr);
556     }
557     ierr = PetscObjectGetName((PetscObject)A,&name);CHKERRQ(ierr);
558     ierr = PetscViewerASCIIPrintf(viewer,"];\n %s = spconvert(zzz);\n",name);CHKERRQ(ierr);
559     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
560   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO || format == PETSC_VIEWER_ASCII_INFO) {
561     PetscFunctionReturn(0);
562   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
563     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
564     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)A,viewer);CHKERRQ(ierr);
565     for (i=0; i<m; i++) {
566       ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
567       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
568 #if defined(PETSC_USE_COMPLEX)
569         if (PetscImaginaryPart(a->a[j]) > 0.0 && PetscRealPart(a->a[j]) != 0.0) {
570           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
571         } else if (PetscImaginaryPart(a->a[j]) < 0.0 && PetscRealPart(a->a[j]) != 0.0) {
572           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
573         } else if (PetscRealPart(a->a[j]) != 0.0) {
574           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,PetscRealPart(a->a[j]));CHKERRQ(ierr);
575         }
576 #else
577         if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,(double)a->a[j]);CHKERRQ(ierr);}
578 #endif
579       }
580       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
581     }
582     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
583   } else if (format == PETSC_VIEWER_ASCII_SYMMODU) {
584     PetscInt nzd=0,fshift=1,*sptr;
585     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
586     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)A,viewer);CHKERRQ(ierr);
587     ierr = PetscMalloc((m+1)*sizeof(PetscInt),&sptr);CHKERRQ(ierr);
588     for (i=0; i<m; i++) {
589       sptr[i] = nzd+1;
590       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
591         if (a->j[j] >= i) {
592 #if defined(PETSC_USE_COMPLEX)
593           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) nzd++;
594 #else
595           if (a->a[j] != 0.0) nzd++;
596 #endif
597         }
598       }
599     }
600     sptr[m] = nzd+1;
601     ierr    = PetscViewerASCIIPrintf(viewer," %D %D\n\n",m,nzd);CHKERRQ(ierr);
602     for (i=0; i<m+1; i+=6) {
603       if (i+4<m) {
604         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);
605       } else if (i+3<m) {
606         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);
607       } else if (i+2<m) {
608         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2],sptr[i+3]);CHKERRQ(ierr);
609       } else if (i+1<m) {
610         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2]);CHKERRQ(ierr);
611       } else if (i<m) {
612         ierr = PetscViewerASCIIPrintf(viewer," %D %D\n",sptr[i],sptr[i+1]);CHKERRQ(ierr);
613       } else {
614         ierr = PetscViewerASCIIPrintf(viewer," %D\n",sptr[i]);CHKERRQ(ierr);
615       }
616     }
617     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
618     ierr = PetscFree(sptr);CHKERRQ(ierr);
619     for (i=0; i<m; i++) {
620       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
621         if (a->j[j] >= i) {ierr = PetscViewerASCIIPrintf(viewer," %D ",a->j[j]+fshift);CHKERRQ(ierr);}
622       }
623       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
624     }
625     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
626     for (i=0; i<m; i++) {
627       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
628         if (a->j[j] >= i) {
629 #if defined(PETSC_USE_COMPLEX)
630           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) {
631             ierr = PetscViewerASCIIPrintf(viewer," %18.16e %18.16e ",PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
632           }
633 #else
634           if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," %18.16e ",a->a[j]);CHKERRQ(ierr);}
635 #endif
636         }
637       }
638       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
639     }
640     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
641   } else if (format == PETSC_VIEWER_ASCII_DENSE) {
642     PetscInt    cnt = 0,jcnt;
643     PetscScalar value;
644 
645     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
646     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)A,viewer);CHKERRQ(ierr);
647     for (i=0; i<m; i++) {
648       jcnt = 0;
649       for (j=0; j<A->cmap->n; j++) {
650         if (jcnt < a->i[i+1]-a->i[i] && j == a->j[cnt]) {
651           value = a->a[cnt++];
652           jcnt++;
653         } else {
654           value = 0.0;
655         }
656 #if defined(PETSC_USE_COMPLEX)
657         ierr = PetscViewerASCIIPrintf(viewer," %7.5e+%7.5e i ",PetscRealPart(value),PetscImaginaryPart(value));CHKERRQ(ierr);
658 #else
659         ierr = PetscViewerASCIIPrintf(viewer," %7.5e ",value);CHKERRQ(ierr);
660 #endif
661       }
662       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
663     }
664     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
665   } else if (format == PETSC_VIEWER_ASCII_MATRIXMARKET) {
666     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
667     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)A,viewer);CHKERRQ(ierr);
668 #if defined(PETSC_USE_COMPLEX)
669     ierr = PetscViewerASCIIPrintf(viewer,"%%matrix complex general\n");CHKERRQ(ierr);
670 #else
671     ierr = PetscViewerASCIIPrintf(viewer,"%%matrix real general\n");CHKERRQ(ierr);
672 #endif
673     ierr = PetscViewerASCIIPrintf(viewer,"%D %D %D\n", m, A->cmap->n, a->nz);CHKERRQ(ierr);
674     for (i=0; i<m; i++) {
675       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
676 #if defined(PETSC_USE_COMPLEX)
677         if (PetscImaginaryPart(a->a[j]) > 0.0) {
678           ierr = PetscViewerASCIIPrintf(viewer,"%D %D, %g %g\n", i+shift,a->j[j]+shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
679         } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
680           ierr = PetscViewerASCIIPrintf(viewer,"%D %D, %g -%g\n", i+shift,a->j[j]+shift,PetscRealPart(a->a[j]),-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
681         } else {
682           ierr = PetscViewerASCIIPrintf(viewer,"%D %D, %g\n", i+shift,a->j[j]+shift,PetscRealPart(a->a[j]));CHKERRQ(ierr);
683         }
684 #else
685         ierr = PetscViewerASCIIPrintf(viewer,"%D %D %g\n", i+shift, a->j[j]+shift, (double)a->a[j]);CHKERRQ(ierr);
686 #endif
687       }
688     }
689     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
690   } else {
691     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
692     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)A,viewer);CHKERRQ(ierr);
693     if (A->factortype) {
694       for (i=0; i<m; i++) {
695         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
696         /* L part */
697         for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
698 #if defined(PETSC_USE_COMPLEX)
699           if (PetscImaginaryPart(a->a[j]) > 0.0) {
700             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
701           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
702             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
703           } else {
704             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,PetscRealPart(a->a[j]));CHKERRQ(ierr);
705           }
706 #else
707           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,(double)a->a[j]);CHKERRQ(ierr);
708 #endif
709         }
710         /* diagonal */
711         j = a->diag[i];
712 #if defined(PETSC_USE_COMPLEX)
713         if (PetscImaginaryPart(a->a[j]) > 0.0) {
714           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j]+shift,PetscRealPart(1.0/a->a[j]),PetscImaginaryPart(1.0/a->a[j]));CHKERRQ(ierr);
715         } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
716           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j]+shift,PetscRealPart(1.0/a->a[j]),-PetscImaginaryPart(1.0/a->a[j]));CHKERRQ(ierr);
717         } else {
718           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,PetscRealPart(1.0/a->a[j]));CHKERRQ(ierr);
719         }
720 #else
721         ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,(double)1.0/a->a[j]);CHKERRQ(ierr);
722 #endif
723 
724         /* U part */
725         for (j=a->diag[i+1]+1+shift; j<a->diag[i]+shift; j++) {
726 #if defined(PETSC_USE_COMPLEX)
727           if (PetscImaginaryPart(a->a[j]) > 0.0) {
728             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
729           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
730             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
731           } else {
732             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,PetscRealPart(a->a[j]));CHKERRQ(ierr);
733           }
734 #else
735           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,(double)a->a[j]);CHKERRQ(ierr);
736 #endif
737         }
738         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
739       }
740     } else {
741       for (i=0; i<m; i++) {
742         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
743         for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
744 #if defined(PETSC_USE_COMPLEX)
745           if (PetscImaginaryPart(a->a[j]) > 0.0) {
746             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
747           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
748             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
749           } else {
750             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,PetscRealPart(a->a[j]));CHKERRQ(ierr);
751           }
752 #else
753           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,(double)a->a[j]);CHKERRQ(ierr);
754 #endif
755         }
756         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
757       }
758     }
759     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
760   }
761   ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
762   PetscFunctionReturn(0);
763 }
764 
765 #include <petscdraw.h>
766 #undef __FUNCT__
767 #define __FUNCT__ "MatView_SeqAIJ_Draw_Zoom"
768 PetscErrorCode MatView_SeqAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
769 {
770   Mat               A  = (Mat) Aa;
771   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
772   PetscErrorCode    ierr;
773   PetscInt          i,j,m = A->rmap->n,color;
774   PetscReal         xl,yl,xr,yr,x_l,x_r,y_l,y_r,maxv = 0.0;
775   PetscViewer       viewer;
776   PetscViewerFormat format;
777 
778   PetscFunctionBegin;
779   ierr = PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer);CHKERRQ(ierr);
780   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
781 
782   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
783   /* loop over matrix elements drawing boxes */
784 
785   if (format != PETSC_VIEWER_DRAW_CONTOUR) {
786     /* Blue for negative, Cyan for zero and  Red for positive */
787     color = PETSC_DRAW_BLUE;
788     for (i=0; i<m; i++) {
789       y_l = m - i - 1.0; y_r = y_l + 1.0;
790       for (j=a->i[i]; j<a->i[i+1]; j++) {
791         x_l = a->j[j]; x_r = x_l + 1.0;
792         if (PetscRealPart(a->a[j]) >=  0.) continue;
793         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
794       }
795     }
796     color = PETSC_DRAW_CYAN;
797     for (i=0; i<m; i++) {
798       y_l = m - i - 1.0; y_r = y_l + 1.0;
799       for (j=a->i[i]; j<a->i[i+1]; j++) {
800         x_l = a->j[j]; x_r = x_l + 1.0;
801         if (a->a[j] !=  0.) continue;
802         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
803       }
804     }
805     color = PETSC_DRAW_RED;
806     for (i=0; i<m; i++) {
807       y_l = m - i - 1.0; y_r = y_l + 1.0;
808       for (j=a->i[i]; j<a->i[i+1]; j++) {
809         x_l = a->j[j]; x_r = x_l + 1.0;
810         if (PetscRealPart(a->a[j]) <=  0.) continue;
811         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
812       }
813     }
814   } else {
815     /* use contour shading to indicate magnitude of values */
816     /* first determine max of all nonzero values */
817     PetscInt  nz = a->nz,count;
818     PetscDraw popup;
819     PetscReal scale;
820 
821     for (i=0; i<nz; i++) {
822       if (PetscAbsScalar(a->a[i]) > maxv) maxv = PetscAbsScalar(a->a[i]);
823     }
824     scale = (245.0 - PETSC_DRAW_BASIC_COLORS)/maxv;
825     ierr  = PetscDrawGetPopup(draw,&popup);CHKERRQ(ierr);
826     if (popup) {
827       ierr = PetscDrawScalePopup(popup,0.0,maxv);CHKERRQ(ierr);
828     }
829     count = 0;
830     for (i=0; i<m; i++) {
831       y_l = m - i - 1.0; y_r = y_l + 1.0;
832       for (j=a->i[i]; j<a->i[i+1]; j++) {
833         x_l   = a->j[j]; x_r = x_l + 1.0;
834         color = PETSC_DRAW_BASIC_COLORS + (PetscInt)(scale*PetscAbsScalar(a->a[count]));
835         ierr  = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
836         count++;
837       }
838     }
839   }
840   PetscFunctionReturn(0);
841 }
842 
843 #include <petscdraw.h>
844 #undef __FUNCT__
845 #define __FUNCT__ "MatView_SeqAIJ_Draw"
846 PetscErrorCode MatView_SeqAIJ_Draw(Mat A,PetscViewer viewer)
847 {
848   PetscErrorCode ierr;
849   PetscDraw      draw;
850   PetscReal      xr,yr,xl,yl,h,w;
851   PetscBool      isnull;
852 
853   PetscFunctionBegin;
854   ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
855   ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr);
856   if (isnull) PetscFunctionReturn(0);
857 
858   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer);CHKERRQ(ierr);
859   xr   = A->cmap->n; yr = A->rmap->n; h = yr/10.0; w = xr/10.0;
860   xr  += w;    yr += h;  xl = -w;     yl = -h;
861   ierr = PetscDrawSetCoordinates(draw,xl,yl,xr,yr);CHKERRQ(ierr);
862   ierr = PetscDrawZoom(draw,MatView_SeqAIJ_Draw_Zoom,A);CHKERRQ(ierr);
863   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",NULL);CHKERRQ(ierr);
864   PetscFunctionReturn(0);
865 }
866 
867 #undef __FUNCT__
868 #define __FUNCT__ "MatView_SeqAIJ"
869 PetscErrorCode MatView_SeqAIJ(Mat A,PetscViewer viewer)
870 {
871   PetscErrorCode ierr;
872   PetscBool      iascii,isbinary,isdraw;
873 
874   PetscFunctionBegin;
875   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
876   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
877   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
878   if (iascii) {
879     ierr = MatView_SeqAIJ_ASCII(A,viewer);CHKERRQ(ierr);
880   } else if (isbinary) {
881     ierr = MatView_SeqAIJ_Binary(A,viewer);CHKERRQ(ierr);
882   } else if (isdraw) {
883     ierr = MatView_SeqAIJ_Draw(A,viewer);CHKERRQ(ierr);
884   }
885   ierr = MatView_SeqAIJ_Inode(A,viewer);CHKERRQ(ierr);
886   PetscFunctionReturn(0);
887 }
888 
889 #undef __FUNCT__
890 #define __FUNCT__ "MatAssemblyEnd_SeqAIJ"
891 PetscErrorCode MatAssemblyEnd_SeqAIJ(Mat A,MatAssemblyType mode)
892 {
893   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
894   PetscErrorCode ierr;
895   PetscInt       fshift = 0,i,j,*ai = a->i,*aj = a->j,*imax = a->imax;
896   PetscInt       m      = A->rmap->n,*ip,N,*ailen = a->ilen,rmax = 0;
897   MatScalar      *aa    = a->a,*ap;
898   PetscReal      ratio  = 0.6;
899 
900   PetscFunctionBegin;
901   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
902 
903   if (m) rmax = ailen[0]; /* determine row with most nonzeros */
904   for (i=1; i<m; i++) {
905     /* move each row back by the amount of empty slots (fshift) before it*/
906     fshift += imax[i-1] - ailen[i-1];
907     rmax    = PetscMax(rmax,ailen[i]);
908     if (fshift) {
909       ip = aj + ai[i];
910       ap = aa + ai[i];
911       N  = ailen[i];
912       for (j=0; j<N; j++) {
913         ip[j-fshift] = ip[j];
914         ap[j-fshift] = ap[j];
915       }
916     }
917     ai[i] = ai[i-1] + ailen[i-1];
918   }
919   if (m) {
920     fshift += imax[m-1] - ailen[m-1];
921     ai[m]   = ai[m-1] + ailen[m-1];
922   }
923   /* reset ilen and imax for each row */
924   for (i=0; i<m; i++) {
925     ailen[i] = imax[i] = ai[i+1] - ai[i];
926   }
927   a->nz = ai[m];
928   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);
929 
930   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
931   ierr = PetscInfo4(A,"Matrix size: %D X %D; storage space: %D unneeded,%D used\n",m,A->cmap->n,fshift,a->nz);CHKERRQ(ierr);
932   ierr = PetscInfo1(A,"Number of mallocs during MatSetValues() is %D\n",a->reallocs);CHKERRQ(ierr);
933   ierr = PetscInfo1(A,"Maximum nonzeros in any row is %D\n",rmax);CHKERRQ(ierr);
934 
935   A->info.mallocs    += a->reallocs;
936   a->reallocs         = 0;
937   A->info.nz_unneeded = (double)fshift;
938   a->rmax             = rmax;
939 
940   ierr = MatCheckCompressedRow(A,&a->compressedrow,a->i,m,ratio);CHKERRQ(ierr);
941 
942   A->same_nonzero = PETSC_TRUE;
943 
944   ierr = MatAssemblyEnd_SeqAIJ_Inode(A,mode);CHKERRQ(ierr);
945 
946   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
947   PetscFunctionReturn(0);
948 }
949 
950 #undef __FUNCT__
951 #define __FUNCT__ "MatRealPart_SeqAIJ"
952 PetscErrorCode MatRealPart_SeqAIJ(Mat A)
953 {
954   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
955   PetscInt       i,nz = a->nz;
956   MatScalar      *aa = a->a;
957   PetscErrorCode ierr;
958 
959   PetscFunctionBegin;
960   for (i=0; i<nz; i++) aa[i] = PetscRealPart(aa[i]);
961   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
962   PetscFunctionReturn(0);
963 }
964 
965 #undef __FUNCT__
966 #define __FUNCT__ "MatImaginaryPart_SeqAIJ"
967 PetscErrorCode MatImaginaryPart_SeqAIJ(Mat A)
968 {
969   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
970   PetscInt       i,nz = a->nz;
971   MatScalar      *aa = a->a;
972   PetscErrorCode ierr;
973 
974   PetscFunctionBegin;
975   for (i=0; i<nz; i++) aa[i] = PetscImaginaryPart(aa[i]);
976   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
977   PetscFunctionReturn(0);
978 }
979 
980 #if defined(PETSC_THREADCOMM_ACTIVE)
981 PetscErrorCode MatZeroEntries_SeqAIJ_Kernel(PetscInt thread_id,Mat A)
982 {
983   PetscErrorCode ierr;
984   PetscInt       *trstarts=A->rmap->trstarts;
985   PetscInt       n,start,end;
986   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
987 
988   start = trstarts[thread_id];
989   end   = trstarts[thread_id+1];
990   n     = a->i[end] - a->i[start];
991   ierr  = PetscMemzero(a->a+a->i[start],n*sizeof(PetscScalar));CHKERRQ(ierr);
992   return 0;
993 }
994 
995 #undef __FUNCT__
996 #define __FUNCT__ "MatZeroEntries_SeqAIJ"
997 PetscErrorCode MatZeroEntries_SeqAIJ(Mat A)
998 {
999   PetscErrorCode ierr;
1000 
1001   PetscFunctionBegin;
1002   ierr = PetscThreadCommRunKernel(PetscObjectComm((PetscObject)A),(PetscThreadKernel)MatZeroEntries_SeqAIJ_Kernel,1,A);CHKERRQ(ierr);
1003   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1004   PetscFunctionReturn(0);
1005 }
1006 #else
1007 #undef __FUNCT__
1008 #define __FUNCT__ "MatZeroEntries_SeqAIJ"
1009 PetscErrorCode MatZeroEntries_SeqAIJ(Mat A)
1010 {
1011   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1012   PetscErrorCode ierr;
1013 
1014   PetscFunctionBegin;
1015   ierr = PetscMemzero(a->a,(a->i[A->rmap->n])*sizeof(PetscScalar));CHKERRQ(ierr);
1016   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1017   PetscFunctionReturn(0);
1018 }
1019 #endif
1020 
1021 #undef __FUNCT__
1022 #define __FUNCT__ "MatDestroy_SeqAIJ"
1023 PetscErrorCode MatDestroy_SeqAIJ(Mat A)
1024 {
1025   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1026   PetscErrorCode ierr;
1027 
1028   PetscFunctionBegin;
1029 #if defined(PETSC_USE_LOG)
1030   PetscLogObjectState((PetscObject)A,"Rows=%D, Cols=%D, NZ=%D",A->rmap->n,A->cmap->n,a->nz);
1031 #endif
1032   ierr = MatSeqXAIJFreeAIJ(A,&a->a,&a->j,&a->i);CHKERRQ(ierr);
1033   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
1034   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
1035   ierr = PetscFree(a->diag);CHKERRQ(ierr);
1036   ierr = PetscFree(a->ibdiag);CHKERRQ(ierr);
1037   ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);
1038   ierr = PetscFree3(a->idiag,a->mdiag,a->ssor_work);CHKERRQ(ierr);
1039   ierr = PetscFree(a->solve_work);CHKERRQ(ierr);
1040   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
1041   ierr = PetscFree(a->saved_values);CHKERRQ(ierr);
1042   ierr = ISColoringDestroy(&a->coloring);CHKERRQ(ierr);
1043   ierr = PetscFree(a->xtoy);CHKERRQ(ierr);
1044   ierr = MatDestroy(&a->XtoY);CHKERRQ(ierr);
1045   ierr = PetscFree2(a->compressedrow.i,a->compressedrow.rindex);CHKERRQ(ierr);
1046   ierr = PetscFree(a->matmult_abdense);CHKERRQ(ierr);
1047 
1048   ierr = MatDestroy_SeqAIJ_Inode(A);CHKERRQ(ierr);
1049   ierr = PetscFree(A->data);CHKERRQ(ierr);
1050 
1051   ierr = PetscObjectChangeTypeName((PetscObject)A,0);CHKERRQ(ierr);
1052   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetColumnIndices_C",NULL);CHKERRQ(ierr);
1053   ierr = PetscObjectComposeFunction((PetscObject)A,"MatStoreValues_C",NULL);CHKERRQ(ierr);
1054   ierr = PetscObjectComposeFunction((PetscObject)A,"MatRetrieveValues_C",NULL);CHKERRQ(ierr);
1055   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqsbaij_C",NULL);CHKERRQ(ierr);
1056   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqbaij_C",NULL);CHKERRQ(ierr);
1057   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqaijperm_C",NULL);CHKERRQ(ierr);
1058   ierr = PetscObjectComposeFunction((PetscObject)A,"MatIsTranspose_C",NULL);CHKERRQ(ierr);
1059   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetPreallocation_C",NULL);CHKERRQ(ierr);
1060   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetPreallocationCSR_C",NULL);CHKERRQ(ierr);
1061   ierr = PetscObjectComposeFunction((PetscObject)A,"MatReorderForNonzeroDiagonal_C",NULL);CHKERRQ(ierr);
1062   PetscFunctionReturn(0);
1063 }
1064 
1065 #undef __FUNCT__
1066 #define __FUNCT__ "MatSetOption_SeqAIJ"
1067 PetscErrorCode MatSetOption_SeqAIJ(Mat A,MatOption op,PetscBool flg)
1068 {
1069   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1070   PetscErrorCode ierr;
1071 
1072   PetscFunctionBegin;
1073   switch (op) {
1074   case MAT_ROW_ORIENTED:
1075     a->roworiented = flg;
1076     break;
1077   case MAT_KEEP_NONZERO_PATTERN:
1078     a->keepnonzeropattern = flg;
1079     break;
1080   case MAT_NEW_NONZERO_LOCATIONS:
1081     a->nonew = (flg ? 0 : 1);
1082     break;
1083   case MAT_NEW_NONZERO_LOCATION_ERR:
1084     a->nonew = (flg ? -1 : 0);
1085     break;
1086   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1087     a->nonew = (flg ? -2 : 0);
1088     break;
1089   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1090     a->nounused = (flg ? -1 : 0);
1091     break;
1092   case MAT_IGNORE_ZERO_ENTRIES:
1093     a->ignorezeroentries = flg;
1094     break;
1095   case MAT_CHECK_COMPRESSED_ROW:
1096     a->compressedrow.check = flg;
1097     break;
1098   case MAT_SPD:
1099   case MAT_SYMMETRIC:
1100   case MAT_STRUCTURALLY_SYMMETRIC:
1101   case MAT_HERMITIAN:
1102   case MAT_SYMMETRY_ETERNAL:
1103     /* These options are handled directly by MatSetOption() */
1104     break;
1105   case MAT_NEW_DIAGONALS:
1106   case MAT_IGNORE_OFF_PROC_ENTRIES:
1107   case MAT_USE_HASH_TABLE:
1108     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1109     break;
1110   case MAT_USE_INODES:
1111     /* Not an error because MatSetOption_SeqAIJ_Inode handles this one */
1112     break;
1113   default:
1114     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
1115   }
1116   ierr = MatSetOption_SeqAIJ_Inode(A,op,flg);CHKERRQ(ierr);
1117   PetscFunctionReturn(0);
1118 }
1119 
1120 #undef __FUNCT__
1121 #define __FUNCT__ "MatGetDiagonal_SeqAIJ"
1122 PetscErrorCode MatGetDiagonal_SeqAIJ(Mat A,Vec v)
1123 {
1124   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1125   PetscErrorCode ierr;
1126   PetscInt       i,j,n,*ai=a->i,*aj=a->j,nz;
1127   PetscScalar    *aa=a->a,*x,zero=0.0;
1128 
1129   PetscFunctionBegin;
1130   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
1131   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
1132 
1133   if (A->factortype == MAT_FACTOR_ILU || A->factortype == MAT_FACTOR_LU) {
1134     PetscInt *diag=a->diag;
1135     ierr = VecGetArray(v,&x);CHKERRQ(ierr);
1136     for (i=0; i<n; i++) x[i] = 1.0/aa[diag[i]];
1137     ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
1138     PetscFunctionReturn(0);
1139   }
1140 
1141   ierr = VecSet(v,zero);CHKERRQ(ierr);
1142   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
1143   for (i=0; i<n; i++) {
1144     nz = ai[i+1] - ai[i];
1145     if (!nz) x[i] = 0.0;
1146     for (j=ai[i]; j<ai[i+1]; j++) {
1147       if (aj[j] == i) {
1148         x[i] = aa[j];
1149         break;
1150       }
1151     }
1152   }
1153   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
1154   PetscFunctionReturn(0);
1155 }
1156 
1157 #include <../src/mat/impls/aij/seq/ftn-kernels/fmult.h>
1158 #undef __FUNCT__
1159 #define __FUNCT__ "MatMultTransposeAdd_SeqAIJ"
1160 PetscErrorCode MatMultTransposeAdd_SeqAIJ(Mat A,Vec xx,Vec zz,Vec yy)
1161 {
1162   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1163   PetscScalar    *x,*y;
1164   PetscErrorCode ierr;
1165   PetscInt       m = A->rmap->n;
1166 #if !defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
1167   MatScalar         *v;
1168   PetscScalar       alpha;
1169   PetscInt          n,i,j,*idx,*ii,*ridx=NULL;
1170   Mat_CompressedRow cprow    = a->compressedrow;
1171   PetscBool         usecprow = cprow.use;
1172 #endif
1173 
1174   PetscFunctionBegin;
1175   if (zz != yy) {ierr = VecCopy(zz,yy);CHKERRQ(ierr);}
1176   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1177   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1178 
1179 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
1180   fortranmulttransposeaddaij_(&m,x,a->i,a->j,a->a,y);
1181 #else
1182   if (usecprow) {
1183     m    = cprow.nrows;
1184     ii   = cprow.i;
1185     ridx = cprow.rindex;
1186   } else {
1187     ii = a->i;
1188   }
1189   for (i=0; i<m; i++) {
1190     idx = a->j + ii[i];
1191     v   = a->a + ii[i];
1192     n   = ii[i+1] - ii[i];
1193     if (usecprow) {
1194       alpha = x[ridx[i]];
1195     } else {
1196       alpha = x[i];
1197     }
1198     for (j=0; j<n; j++) y[idx[j]] += alpha*v[j];
1199   }
1200 #endif
1201   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1202   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1203   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1204   PetscFunctionReturn(0);
1205 }
1206 
1207 #undef __FUNCT__
1208 #define __FUNCT__ "MatMultTranspose_SeqAIJ"
1209 PetscErrorCode MatMultTranspose_SeqAIJ(Mat A,Vec xx,Vec yy)
1210 {
1211   PetscErrorCode ierr;
1212 
1213   PetscFunctionBegin;
1214   ierr = VecSet(yy,0.0);CHKERRQ(ierr);
1215   ierr = MatMultTransposeAdd_SeqAIJ(A,xx,yy,yy);CHKERRQ(ierr);
1216   PetscFunctionReturn(0);
1217 }
1218 
1219 #include <../src/mat/impls/aij/seq/ftn-kernels/fmult.h>
1220 #if defined(PETSC_THREADCOMM_ACTIVE)
1221 PetscErrorCode MatMult_SeqAIJ_Kernel(PetscInt thread_id,Mat A,Vec xx,Vec yy)
1222 {
1223   PetscErrorCode    ierr;
1224   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1225   PetscScalar       *y;
1226   const PetscScalar *x;
1227   const MatScalar   *aa;
1228   PetscInt          *trstarts=A->rmap->trstarts;
1229   PetscInt          n,start,end,i;
1230   const PetscInt    *aj,*ai;
1231   PetscScalar       sum;
1232 
1233   ierr  = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1234   ierr  = VecGetArray(yy,&y);CHKERRQ(ierr);
1235   start = trstarts[thread_id];
1236   end   = trstarts[thread_id+1];
1237   aj    = a->j;
1238   aa    = a->a;
1239   ai    = a->i;
1240   for (i=start; i<end; i++) {
1241     n   = ai[i+1] - ai[i];
1242     aj  = a->j + ai[i];
1243     aa  = a->a + ai[i];
1244     sum = 0.0;
1245     PetscSparseDensePlusDot(sum,x,aa,aj,n);
1246     y[i] = sum;
1247   }
1248   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1249   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1250   return 0;
1251 }
1252 
1253 #undef __FUNCT__
1254 #define __FUNCT__ "MatMult_SeqAIJ"
1255 PetscErrorCode MatMult_SeqAIJ(Mat A,Vec xx,Vec yy)
1256 {
1257   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1258   PetscScalar       *y;
1259   const PetscScalar *x;
1260   const MatScalar   *aa;
1261   PetscErrorCode    ierr;
1262   PetscInt          m=A->rmap->n;
1263   const PetscInt    *aj,*ii,*ridx=NULL;
1264   PetscInt          n,i,nonzerorow=0;
1265   PetscScalar       sum;
1266   PetscBool         usecprow=a->compressedrow.use;
1267 
1268 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
1269 #pragma disjoint(*x,*y,*aa)
1270 #endif
1271 
1272   PetscFunctionBegin;
1273   aj = a->j;
1274   aa = a->a;
1275   ii = a->i;
1276   if (usecprow) { /* use compressed row format */
1277     ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1278     ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1279     m    = a->compressedrow.nrows;
1280     ii   = a->compressedrow.i;
1281     ridx = a->compressedrow.rindex;
1282     for (i=0; i<m; i++) {
1283       n           = ii[i+1] - ii[i];
1284       aj          = a->j + ii[i];
1285       aa          = a->a + ii[i];
1286       sum         = 0.0;
1287       nonzerorow += (n>0);
1288       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1289       /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */
1290       y[*ridx++] = sum;
1291     }
1292     ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1293     ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1294   } else { /* do not use compressed row format */
1295 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTAIJ)
1296     fortranmultaij_(&m,x,ii,aj,aa,y);
1297 #else
1298     ierr = PetscThreadCommRunKernel(PetscObjectComm((PetscObject)A),(PetscThreadKernel)MatMult_SeqAIJ_Kernel,3,A,xx,yy);CHKERRQ(ierr);
1299 #endif
1300   }
1301   ierr = PetscLogFlops(2.0*a->nz - nonzerorow);CHKERRQ(ierr);
1302   PetscFunctionReturn(0);
1303 }
1304 #else
1305 #undef __FUNCT__
1306 #define __FUNCT__ "MatMult_SeqAIJ"
1307 PetscErrorCode MatMult_SeqAIJ(Mat A,Vec xx,Vec yy)
1308 {
1309   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1310   PetscScalar       *y;
1311   const PetscScalar *x;
1312   const MatScalar   *aa;
1313   PetscErrorCode    ierr;
1314   PetscInt          m=A->rmap->n;
1315   const PetscInt    *aj,*ii,*ridx=NULL;
1316   PetscInt          n,i,nonzerorow=0;
1317   PetscScalar       sum;
1318   PetscBool         usecprow=a->compressedrow.use;
1319 
1320 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
1321 #pragma disjoint(*x,*y,*aa)
1322 #endif
1323 
1324   PetscFunctionBegin;
1325   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1326   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1327   aj   = a->j;
1328   aa   = a->a;
1329   ii   = a->i;
1330   if (usecprow) { /* use compressed row format */
1331     m    = a->compressedrow.nrows;
1332     ii   = a->compressedrow.i;
1333     ridx = a->compressedrow.rindex;
1334     for (i=0; i<m; i++) {
1335       n           = ii[i+1] - ii[i];
1336       aj          = a->j + ii[i];
1337       aa          = a->a + ii[i];
1338       sum         = 0.0;
1339       nonzerorow += (n>0);
1340       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1341       /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */
1342       y[*ridx++] = sum;
1343     }
1344   } else { /* do not use compressed row format */
1345 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTAIJ)
1346     fortranmultaij_(&m,x,ii,aj,aa,y);
1347 #else
1348 #if defined(PETSC_THREADCOMM_ACTIVE)
1349     ierr = PetscThreadCommRunKernel(PetscObjectComm((PetscObject)A),(PetscThreadKernel)MatMult_SeqAIJ_Kernel,3,A,xx,yy);CHKERRQ(ierr);
1350 #else
1351     for (i=0; i<m; i++) {
1352       n           = ii[i+1] - ii[i];
1353       aj          = a->j + ii[i];
1354       aa          = a->a + ii[i];
1355       sum         = 0.0;
1356       nonzerorow += (n>0);
1357       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1358       y[i] = sum;
1359     }
1360 #endif
1361 #endif
1362   }
1363   ierr = PetscLogFlops(2.0*a->nz - nonzerorow);CHKERRQ(ierr);
1364   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1365   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1366   PetscFunctionReturn(0);
1367 }
1368 #endif
1369 
1370 #undef __FUNCT__
1371 #define __FUNCT__ "MatMultMax_SeqAIJ"
1372 PetscErrorCode MatMultMax_SeqAIJ(Mat A,Vec xx,Vec yy)
1373 {
1374   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1375   PetscScalar       *y;
1376   const PetscScalar *x;
1377   const MatScalar   *aa;
1378   PetscErrorCode    ierr;
1379   PetscInt          m=A->rmap->n;
1380   const PetscInt    *aj,*ii,*ridx=NULL;
1381   PetscInt          n,i,nonzerorow=0;
1382   PetscScalar       sum;
1383   PetscBool         usecprow=a->compressedrow.use;
1384 
1385 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
1386 #pragma disjoint(*x,*y,*aa)
1387 #endif
1388 
1389   PetscFunctionBegin;
1390   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1391   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1392   aj   = a->j;
1393   aa   = a->a;
1394   ii   = a->i;
1395   if (usecprow) { /* use compressed row format */
1396     m    = a->compressedrow.nrows;
1397     ii   = a->compressedrow.i;
1398     ridx = a->compressedrow.rindex;
1399     for (i=0; i<m; i++) {
1400       n           = ii[i+1] - ii[i];
1401       aj          = a->j + ii[i];
1402       aa          = a->a + ii[i];
1403       sum         = 0.0;
1404       nonzerorow += (n>0);
1405       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1406       /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */
1407       y[*ridx++] = sum;
1408     }
1409   } else { /* do not use compressed row format */
1410     for (i=0; i<m; i++) {
1411       n           = ii[i+1] - ii[i];
1412       aj          = a->j + ii[i];
1413       aa          = a->a + ii[i];
1414       sum         = 0.0;
1415       nonzerorow += (n>0);
1416       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1417       y[i] = sum;
1418     }
1419   }
1420   ierr = PetscLogFlops(2.0*a->nz - nonzerorow);CHKERRQ(ierr);
1421   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1422   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1423   PetscFunctionReturn(0);
1424 }
1425 
1426 #undef __FUNCT__
1427 #define __FUNCT__ "MatMultAddMax_SeqAIJ"
1428 PetscErrorCode MatMultAddMax_SeqAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1429 {
1430   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1431   PetscScalar       *y,*z;
1432   const PetscScalar *x;
1433   const MatScalar   *aa;
1434   PetscErrorCode    ierr;
1435   PetscInt          m = A->rmap->n,*aj,*ii;
1436   PetscInt          n,i,*ridx=NULL;
1437   PetscScalar       sum;
1438   PetscBool         usecprow=a->compressedrow.use;
1439 
1440   PetscFunctionBegin;
1441   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1442   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1443   if (zz != yy) {
1444     ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
1445   } else {
1446     z = y;
1447   }
1448 
1449   aj = a->j;
1450   aa = a->a;
1451   ii = a->i;
1452   if (usecprow) { /* use compressed row format */
1453     if (zz != yy) {
1454       ierr = PetscMemcpy(z,y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1455     }
1456     m    = a->compressedrow.nrows;
1457     ii   = a->compressedrow.i;
1458     ridx = a->compressedrow.rindex;
1459     for (i=0; i<m; i++) {
1460       n   = ii[i+1] - ii[i];
1461       aj  = a->j + ii[i];
1462       aa  = a->a + ii[i];
1463       sum = y[*ridx];
1464       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1465       z[*ridx++] = sum;
1466     }
1467   } else { /* do not use compressed row format */
1468     for (i=0; i<m; i++) {
1469       n   = ii[i+1] - ii[i];
1470       aj  = a->j + ii[i];
1471       aa  = a->a + ii[i];
1472       sum = y[i];
1473       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1474       z[i] = sum;
1475     }
1476   }
1477   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1478   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1479   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1480   if (zz != yy) {
1481     ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
1482   }
1483   PetscFunctionReturn(0);
1484 }
1485 
1486 #include <../src/mat/impls/aij/seq/ftn-kernels/fmultadd.h>
1487 #undef __FUNCT__
1488 #define __FUNCT__ "MatMultAdd_SeqAIJ"
1489 PetscErrorCode MatMultAdd_SeqAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1490 {
1491   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1492   PetscScalar       *y,*z;
1493   const PetscScalar *x;
1494   const MatScalar   *aa;
1495   PetscErrorCode    ierr;
1496   PetscInt          m = A->rmap->n,*aj,*ii;
1497   PetscInt          n,i,*ridx=NULL;
1498   PetscScalar       sum;
1499   PetscBool         usecprow=a->compressedrow.use;
1500 
1501   PetscFunctionBegin;
1502   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1503   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1504   if (zz != yy) {
1505     ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
1506   } else {
1507     z = y;
1508   }
1509 
1510   aj = a->j;
1511   aa = a->a;
1512   ii = a->i;
1513   if (usecprow) { /* use compressed row format */
1514     if (zz != yy) {
1515       ierr = PetscMemcpy(z,y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1516     }
1517     m    = a->compressedrow.nrows;
1518     ii   = a->compressedrow.i;
1519     ridx = a->compressedrow.rindex;
1520     for (i=0; i<m; i++) {
1521       n   = ii[i+1] - ii[i];
1522       aj  = a->j + ii[i];
1523       aa  = a->a + ii[i];
1524       sum = y[*ridx];
1525       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1526       z[*ridx++] = sum;
1527     }
1528   } else { /* do not use compressed row format */
1529 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTADDAIJ)
1530     fortranmultaddaij_(&m,x,ii,aj,aa,y,z);
1531 #else
1532     for (i=0; i<m; i++) {
1533       n   = ii[i+1] - ii[i];
1534       aj  = a->j + ii[i];
1535       aa  = a->a + ii[i];
1536       sum = y[i];
1537       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1538       z[i] = sum;
1539     }
1540 #endif
1541   }
1542   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1543   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1544   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1545   if (zz != yy) {
1546     ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
1547   }
1548 #if defined(PETSC_HAVE_CUSP)
1549   /*
1550   ierr = VecView(xx,0);CHKERRQ(ierr);
1551   ierr = VecView(zz,0);CHKERRQ(ierr);
1552   ierr = MatView(A,0);CHKERRQ(ierr);
1553   */
1554 #endif
1555   PetscFunctionReturn(0);
1556 }
1557 
1558 /*
1559      Adds diagonal pointers to sparse matrix structure.
1560 */
1561 #undef __FUNCT__
1562 #define __FUNCT__ "MatMarkDiagonal_SeqAIJ"
1563 PetscErrorCode MatMarkDiagonal_SeqAIJ(Mat A)
1564 {
1565   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1566   PetscErrorCode ierr;
1567   PetscInt       i,j,m = A->rmap->n;
1568 
1569   PetscFunctionBegin;
1570   if (!a->diag) {
1571     ierr = PetscMalloc(m*sizeof(PetscInt),&a->diag);CHKERRQ(ierr);
1572     ierr = PetscLogObjectMemory((PetscObject)A, m*sizeof(PetscInt));CHKERRQ(ierr);
1573   }
1574   for (i=0; i<A->rmap->n; i++) {
1575     a->diag[i] = a->i[i+1];
1576     for (j=a->i[i]; j<a->i[i+1]; j++) {
1577       if (a->j[j] == i) {
1578         a->diag[i] = j;
1579         break;
1580       }
1581     }
1582   }
1583   PetscFunctionReturn(0);
1584 }
1585 
1586 /*
1587      Checks for missing diagonals
1588 */
1589 #undef __FUNCT__
1590 #define __FUNCT__ "MatMissingDiagonal_SeqAIJ"
1591 PetscErrorCode MatMissingDiagonal_SeqAIJ(Mat A,PetscBool  *missing,PetscInt *d)
1592 {
1593   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1594   PetscInt   *diag,*jj = a->j,i;
1595 
1596   PetscFunctionBegin;
1597   *missing = PETSC_FALSE;
1598   if (A->rmap->n > 0 && !jj) {
1599     *missing = PETSC_TRUE;
1600     if (d) *d = 0;
1601     PetscInfo(A,"Matrix has no entries therefore is missing diagonal");
1602   } else {
1603     diag = a->diag;
1604     for (i=0; i<A->rmap->n; i++) {
1605       if (jj[diag[i]] != i) {
1606         *missing = PETSC_TRUE;
1607         if (d) *d = i;
1608         PetscInfo1(A,"Matrix is missing diagonal number %D",i);
1609         break;
1610       }
1611     }
1612   }
1613   PetscFunctionReturn(0);
1614 }
1615 
1616 #undef __FUNCT__
1617 #define __FUNCT__ "MatInvertDiagonal_SeqAIJ"
1618 PetscErrorCode  MatInvertDiagonal_SeqAIJ(Mat A,PetscScalar omega,PetscScalar fshift)
1619 {
1620   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
1621   PetscErrorCode ierr;
1622   PetscInt       i,*diag,m = A->rmap->n;
1623   MatScalar      *v = a->a;
1624   PetscScalar    *idiag,*mdiag;
1625 
1626   PetscFunctionBegin;
1627   if (a->idiagvalid) PetscFunctionReturn(0);
1628   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1629   diag = a->diag;
1630   if (!a->idiag) {
1631     ierr = PetscMalloc3(m,PetscScalar,&a->idiag,m,PetscScalar,&a->mdiag,m,PetscScalar,&a->ssor_work);CHKERRQ(ierr);
1632     ierr = PetscLogObjectMemory((PetscObject)A, 3*m*sizeof(PetscScalar));CHKERRQ(ierr);
1633     v    = a->a;
1634   }
1635   mdiag = a->mdiag;
1636   idiag = a->idiag;
1637 
1638   if (omega == 1.0 && !PetscAbsScalar(fshift)) {
1639     for (i=0; i<m; i++) {
1640       mdiag[i] = v[diag[i]];
1641       if (!PetscAbsScalar(mdiag[i])) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Zero diagonal on row %D",i);
1642       idiag[i] = 1.0/v[diag[i]];
1643     }
1644     ierr = PetscLogFlops(m);CHKERRQ(ierr);
1645   } else {
1646     for (i=0; i<m; i++) {
1647       mdiag[i] = v[diag[i]];
1648       idiag[i] = omega/(fshift + v[diag[i]]);
1649     }
1650     ierr = PetscLogFlops(2.0*m);CHKERRQ(ierr);
1651   }
1652   a->idiagvalid = PETSC_TRUE;
1653   PetscFunctionReturn(0);
1654 }
1655 
1656 #include <../src/mat/impls/aij/seq/ftn-kernels/frelax.h>
1657 #undef __FUNCT__
1658 #define __FUNCT__ "MatSOR_SeqAIJ"
1659 PetscErrorCode MatSOR_SeqAIJ(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
1660 {
1661   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1662   PetscScalar       *x,d,sum,*t,scale;
1663   const MatScalar   *v = a->a,*idiag=0,*mdiag;
1664   const PetscScalar *b, *bs,*xb, *ts;
1665   PetscErrorCode    ierr;
1666   PetscInt          n = A->cmap->n,m = A->rmap->n,i;
1667   const PetscInt    *idx,*diag;
1668 
1669   PetscFunctionBegin;
1670   its = its*lits;
1671 
1672   if (fshift != a->fshift || omega != a->omega) a->idiagvalid = PETSC_FALSE; /* must recompute idiag[] */
1673   if (!a->idiagvalid) {ierr = MatInvertDiagonal_SeqAIJ(A,omega,fshift);CHKERRQ(ierr);}
1674   a->fshift = fshift;
1675   a->omega  = omega;
1676 
1677   diag  = a->diag;
1678   t     = a->ssor_work;
1679   idiag = a->idiag;
1680   mdiag = a->mdiag;
1681 
1682   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1683   ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
1684   /* We count flops by assuming the upper triangular and lower triangular parts have the same number of nonzeros */
1685   if (flag == SOR_APPLY_UPPER) {
1686     /* apply (U + D/omega) to the vector */
1687     bs = b;
1688     for (i=0; i<m; i++) {
1689       d   = fshift + mdiag[i];
1690       n   = a->i[i+1] - diag[i] - 1;
1691       idx = a->j + diag[i] + 1;
1692       v   = a->a + diag[i] + 1;
1693       sum = b[i]*d/omega;
1694       PetscSparseDensePlusDot(sum,bs,v,idx,n);
1695       x[i] = sum;
1696     }
1697     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1698     ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1699     ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1700     PetscFunctionReturn(0);
1701   }
1702 
1703   if (flag == SOR_APPLY_LOWER) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SOR_APPLY_LOWER is not implemented");
1704   else if (flag & SOR_EISENSTAT) {
1705     /* Let  A = L + U + D; where L is lower trianglar,
1706     U is upper triangular, E = D/omega; This routine applies
1707 
1708             (L + E)^{-1} A (U + E)^{-1}
1709 
1710     to a vector efficiently using Eisenstat's trick.
1711     */
1712     scale = (2.0/omega) - 1.0;
1713 
1714     /*  x = (E + U)^{-1} b */
1715     for (i=m-1; i>=0; i--) {
1716       n   = a->i[i+1] - diag[i] - 1;
1717       idx = a->j + diag[i] + 1;
1718       v   = a->a + diag[i] + 1;
1719       sum = b[i];
1720       PetscSparseDenseMinusDot(sum,x,v,idx,n);
1721       x[i] = sum*idiag[i];
1722     }
1723 
1724     /*  t = b - (2*E - D)x */
1725     v = a->a;
1726     for (i=0; i<m; i++) t[i] = b[i] - scale*(v[*diag++])*x[i];
1727 
1728     /*  t = (E + L)^{-1}t */
1729     ts   = t;
1730     diag = a->diag;
1731     for (i=0; i<m; i++) {
1732       n   = diag[i] - a->i[i];
1733       idx = a->j + a->i[i];
1734       v   = a->a + a->i[i];
1735       sum = t[i];
1736       PetscSparseDenseMinusDot(sum,ts,v,idx,n);
1737       t[i] = sum*idiag[i];
1738       /*  x = x + t */
1739       x[i] += t[i];
1740     }
1741 
1742     ierr = PetscLogFlops(6.0*m-1 + 2.0*a->nz);CHKERRQ(ierr);
1743     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1744     ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1745     PetscFunctionReturn(0);
1746   }
1747   if (flag & SOR_ZERO_INITIAL_GUESS) {
1748     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
1749       for (i=0; i<m; i++) {
1750         n   = diag[i] - a->i[i];
1751         idx = a->j + a->i[i];
1752         v   = a->a + a->i[i];
1753         sum = b[i];
1754         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1755         t[i] = sum;
1756         x[i] = sum*idiag[i];
1757       }
1758       xb   = t;
1759       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1760     } else xb = b;
1761     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
1762       for (i=m-1; i>=0; i--) {
1763         n   = a->i[i+1] - diag[i] - 1;
1764         idx = a->j + diag[i] + 1;
1765         v   = a->a + diag[i] + 1;
1766         sum = xb[i];
1767         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1768         if (xb == b) {
1769           x[i] = sum*idiag[i];
1770         } else {
1771           x[i] = (1-omega)*x[i] + sum*idiag[i];  /* omega in idiag */
1772         }
1773       }
1774       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr); /* assumes 1/2 in upper */
1775     }
1776     its--;
1777   }
1778   while (its--) {
1779     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
1780       for (i=0; i<m; i++) {
1781         /* lower */
1782         n   = diag[i] - a->i[i];
1783         idx = a->j + a->i[i];
1784         v   = a->a + a->i[i];
1785         sum = b[i];
1786         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1787         t[i] = sum;             /* save application of the lower-triangular part */
1788         /* upper */
1789         n   = a->i[i+1] - diag[i] - 1;
1790         idx = a->j + diag[i] + 1;
1791         v   = a->a + diag[i] + 1;
1792         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1793         x[i] = (1. - omega)*x[i] + sum*idiag[i]; /* omega in idiag */
1794       }
1795       xb   = t;
1796       ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1797     } else xb = b;
1798     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
1799       for (i=m-1; i>=0; i--) {
1800         sum = xb[i];
1801         if (xb == b) {
1802           /* whole matrix (no checkpointing available) */
1803           n   = a->i[i+1] - a->i[i];
1804           idx = a->j + a->i[i];
1805           v   = a->a + a->i[i];
1806           PetscSparseDenseMinusDot(sum,x,v,idx,n);
1807           x[i] = (1. - omega)*x[i] + (sum + mdiag[i]*x[i])*idiag[i];
1808         } else { /* lower-triangular part has been saved, so only apply upper-triangular */
1809           n   = a->i[i+1] - diag[i] - 1;
1810           idx = a->j + diag[i] + 1;
1811           v   = a->a + diag[i] + 1;
1812           PetscSparseDenseMinusDot(sum,x,v,idx,n);
1813           x[i] = (1. - omega)*x[i] + sum*idiag[i];  /* omega in idiag */
1814         }
1815       }
1816       if (xb == b) {
1817         ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1818       } else {
1819         ierr = PetscLogFlops(a->nz);CHKERRQ(ierr); /* assumes 1/2 in upper */
1820       }
1821     }
1822   }
1823   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1824   ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1825   PetscFunctionReturn(0);
1826 }
1827 
1828 
1829 #undef __FUNCT__
1830 #define __FUNCT__ "MatGetInfo_SeqAIJ"
1831 PetscErrorCode MatGetInfo_SeqAIJ(Mat A,MatInfoType flag,MatInfo *info)
1832 {
1833   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1834 
1835   PetscFunctionBegin;
1836   info->block_size   = 1.0;
1837   info->nz_allocated = (double)a->maxnz;
1838   info->nz_used      = (double)a->nz;
1839   info->nz_unneeded  = (double)(a->maxnz - a->nz);
1840   info->assemblies   = (double)A->num_ass;
1841   info->mallocs      = (double)A->info.mallocs;
1842   info->memory       = ((PetscObject)A)->mem;
1843   if (A->factortype) {
1844     info->fill_ratio_given  = A->info.fill_ratio_given;
1845     info->fill_ratio_needed = A->info.fill_ratio_needed;
1846     info->factor_mallocs    = A->info.factor_mallocs;
1847   } else {
1848     info->fill_ratio_given  = 0;
1849     info->fill_ratio_needed = 0;
1850     info->factor_mallocs    = 0;
1851   }
1852   PetscFunctionReturn(0);
1853 }
1854 
1855 #undef __FUNCT__
1856 #define __FUNCT__ "MatZeroRows_SeqAIJ"
1857 PetscErrorCode MatZeroRows_SeqAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1858 {
1859   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1860   PetscInt          i,m = A->rmap->n - 1,d = 0;
1861   PetscErrorCode    ierr;
1862   const PetscScalar *xx;
1863   PetscScalar       *bb;
1864   PetscBool         missing;
1865 
1866   PetscFunctionBegin;
1867   if (x && b) {
1868     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1869     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1870     for (i=0; i<N; i++) {
1871       if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1872       bb[rows[i]] = diag*xx[rows[i]];
1873     }
1874     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1875     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1876   }
1877 
1878   if (a->keepnonzeropattern) {
1879     for (i=0; i<N; i++) {
1880       if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1881       ierr = PetscMemzero(&a->a[a->i[rows[i]]],a->ilen[rows[i]]*sizeof(PetscScalar));CHKERRQ(ierr);
1882     }
1883     if (diag != 0.0) {
1884       ierr = MatMissingDiagonal_SeqAIJ(A,&missing,&d);CHKERRQ(ierr);
1885       if (missing) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Matrix is missing diagonal entry in row %D",d);
1886       for (i=0; i<N; i++) {
1887         a->a[a->diag[rows[i]]] = diag;
1888       }
1889     }
1890     A->same_nonzero = PETSC_TRUE;
1891   } else {
1892     if (diag != 0.0) {
1893       for (i=0; i<N; i++) {
1894         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1895         if (a->ilen[rows[i]] > 0) {
1896           a->ilen[rows[i]]    = 1;
1897           a->a[a->i[rows[i]]] = diag;
1898           a->j[a->i[rows[i]]] = rows[i];
1899         } else { /* in case row was completely empty */
1900           ierr = MatSetValues_SeqAIJ(A,1,&rows[i],1,&rows[i],&diag,INSERT_VALUES);CHKERRQ(ierr);
1901         }
1902       }
1903     } else {
1904       for (i=0; i<N; i++) {
1905         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1906         a->ilen[rows[i]] = 0;
1907       }
1908     }
1909     A->same_nonzero = PETSC_FALSE;
1910   }
1911   ierr = MatAssemblyEnd_SeqAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1912   PetscFunctionReturn(0);
1913 }
1914 
1915 #undef __FUNCT__
1916 #define __FUNCT__ "MatZeroRowsColumns_SeqAIJ"
1917 PetscErrorCode MatZeroRowsColumns_SeqAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1918 {
1919   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1920   PetscInt          i,j,m = A->rmap->n - 1,d = 0;
1921   PetscErrorCode    ierr;
1922   PetscBool         missing,*zeroed,vecs = PETSC_FALSE;
1923   const PetscScalar *xx;
1924   PetscScalar       *bb;
1925 
1926   PetscFunctionBegin;
1927   if (x && b) {
1928     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1929     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1930     vecs = PETSC_TRUE;
1931   }
1932   ierr = PetscMalloc(A->rmap->n*sizeof(PetscBool),&zeroed);CHKERRQ(ierr);
1933   ierr = PetscMemzero(zeroed,A->rmap->n*sizeof(PetscBool));CHKERRQ(ierr);
1934   for (i=0; i<N; i++) {
1935     if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1936     ierr = PetscMemzero(&a->a[a->i[rows[i]]],a->ilen[rows[i]]*sizeof(PetscScalar));CHKERRQ(ierr);
1937 
1938     zeroed[rows[i]] = PETSC_TRUE;
1939   }
1940   for (i=0; i<A->rmap->n; i++) {
1941     if (!zeroed[i]) {
1942       for (j=a->i[i]; j<a->i[i+1]; j++) {
1943         if (zeroed[a->j[j]]) {
1944           if (vecs) bb[i] -= a->a[j]*xx[a->j[j]];
1945           a->a[j] = 0.0;
1946         }
1947       }
1948     } else if (vecs) bb[i] = diag*xx[i];
1949   }
1950   if (x && b) {
1951     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1952     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1953   }
1954   ierr = PetscFree(zeroed);CHKERRQ(ierr);
1955   if (diag != 0.0) {
1956     ierr = MatMissingDiagonal_SeqAIJ(A,&missing,&d);CHKERRQ(ierr);
1957     if (missing) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Matrix is missing diagonal entry in row %D",d);
1958     for (i=0; i<N; i++) {
1959       a->a[a->diag[rows[i]]] = diag;
1960     }
1961   }
1962   A->same_nonzero = PETSC_TRUE;
1963   ierr = MatAssemblyEnd_SeqAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1964   PetscFunctionReturn(0);
1965 }
1966 
1967 #undef __FUNCT__
1968 #define __FUNCT__ "MatGetRow_SeqAIJ"
1969 PetscErrorCode MatGetRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1970 {
1971   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1972   PetscInt   *itmp;
1973 
1974   PetscFunctionBegin;
1975   if (row < 0 || row >= A->rmap->n) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row %D out of range",row);
1976 
1977   *nz = a->i[row+1] - a->i[row];
1978   if (v) *v = a->a + a->i[row];
1979   if (idx) {
1980     itmp = a->j + a->i[row];
1981     if (*nz) *idx = itmp;
1982     else *idx = 0;
1983   }
1984   PetscFunctionReturn(0);
1985 }
1986 
1987 /* remove this function? */
1988 #undef __FUNCT__
1989 #define __FUNCT__ "MatRestoreRow_SeqAIJ"
1990 PetscErrorCode MatRestoreRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1991 {
1992   PetscFunctionBegin;
1993   PetscFunctionReturn(0);
1994 }
1995 
1996 #undef __FUNCT__
1997 #define __FUNCT__ "MatNorm_SeqAIJ"
1998 PetscErrorCode MatNorm_SeqAIJ(Mat A,NormType type,PetscReal *nrm)
1999 {
2000   Mat_SeqAIJ     *a  = (Mat_SeqAIJ*)A->data;
2001   MatScalar      *v  = a->a;
2002   PetscReal      sum = 0.0;
2003   PetscErrorCode ierr;
2004   PetscInt       i,j;
2005 
2006   PetscFunctionBegin;
2007   if (type == NORM_FROBENIUS) {
2008     for (i=0; i<a->nz; i++) {
2009       sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
2010     }
2011     *nrm = PetscSqrtReal(sum);
2012   } else if (type == NORM_1) {
2013     PetscReal *tmp;
2014     PetscInt  *jj = a->j;
2015     ierr = PetscMalloc((A->cmap->n+1)*sizeof(PetscReal),&tmp);CHKERRQ(ierr);
2016     ierr = PetscMemzero(tmp,A->cmap->n*sizeof(PetscReal));CHKERRQ(ierr);
2017     *nrm = 0.0;
2018     for (j=0; j<a->nz; j++) {
2019       tmp[*jj++] += PetscAbsScalar(*v);  v++;
2020     }
2021     for (j=0; j<A->cmap->n; j++) {
2022       if (tmp[j] > *nrm) *nrm = tmp[j];
2023     }
2024     ierr = PetscFree(tmp);CHKERRQ(ierr);
2025   } else if (type == NORM_INFINITY) {
2026     *nrm = 0.0;
2027     for (j=0; j<A->rmap->n; j++) {
2028       v   = a->a + a->i[j];
2029       sum = 0.0;
2030       for (i=0; i<a->i[j+1]-a->i[j]; i++) {
2031         sum += PetscAbsScalar(*v); v++;
2032       }
2033       if (sum > *nrm) *nrm = sum;
2034     }
2035   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for two norm");
2036   PetscFunctionReturn(0);
2037 }
2038 
2039 /* Merged from MatGetSymbolicTranspose_SeqAIJ() - replace MatGetSymbolicTranspose_SeqAIJ()? */
2040 #undef __FUNCT__
2041 #define __FUNCT__ "MatTransposeSymbolic_SeqAIJ"
2042 PetscErrorCode MatTransposeSymbolic_SeqAIJ(Mat A,Mat *B)
2043 {
2044   PetscErrorCode ierr;
2045   PetscInt       i,j,anzj;
2046   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data,*b;
2047   PetscInt       an=A->cmap->N,am=A->rmap->N;
2048   PetscInt       *ati,*atj,*atfill,*ai=a->i,*aj=a->j;
2049 
2050   PetscFunctionBegin;
2051   /* Allocate space for symbolic transpose info and work array */
2052   ierr = PetscMalloc((an+1)*sizeof(PetscInt),&ati);CHKERRQ(ierr);
2053   ierr = PetscMalloc(ai[am]*sizeof(PetscInt),&atj);CHKERRQ(ierr);
2054   ierr = PetscMalloc(an*sizeof(PetscInt),&atfill);CHKERRQ(ierr);
2055   ierr = PetscMemzero(ati,(an+1)*sizeof(PetscInt));CHKERRQ(ierr);
2056 
2057   /* Walk through aj and count ## of non-zeros in each row of A^T. */
2058   /* Note: offset by 1 for fast conversion into csr format. */
2059   for (i=0;i<ai[am];i++) ati[aj[i]+1] += 1;
2060   /* Form ati for csr format of A^T. */
2061   for (i=0;i<an;i++) ati[i+1] += ati[i];
2062 
2063   /* Copy ati into atfill so we have locations of the next free space in atj */
2064   ierr = PetscMemcpy(atfill,ati,an*sizeof(PetscInt));CHKERRQ(ierr);
2065 
2066   /* Walk through A row-wise and mark nonzero entries of A^T. */
2067   for (i=0;i<am;i++) {
2068     anzj = ai[i+1] - ai[i];
2069     for (j=0;j<anzj;j++) {
2070       atj[atfill[*aj]] = i;
2071       atfill[*aj++]   += 1;
2072     }
2073   }
2074 
2075   /* Clean up temporary space and complete requests. */
2076   ierr = PetscFree(atfill);CHKERRQ(ierr);
2077   ierr = MatCreateSeqAIJWithArrays(PetscObjectComm((PetscObject)A),an,am,ati,atj,NULL,B);CHKERRQ(ierr);
2078 
2079   (*B)->rmap->bs = A->cmap->bs;
2080   (*B)->cmap->bs = A->rmap->bs;
2081 
2082   b          = (Mat_SeqAIJ*)((*B)->data);
2083   b->free_a  = PETSC_FALSE;
2084   b->free_ij = PETSC_TRUE;
2085   b->nonew   = 0;
2086   PetscFunctionReturn(0);
2087 }
2088 
2089 #undef __FUNCT__
2090 #define __FUNCT__ "MatTranspose_SeqAIJ"
2091 PetscErrorCode MatTranspose_SeqAIJ(Mat A,MatReuse reuse,Mat *B)
2092 {
2093   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2094   Mat            C;
2095   PetscErrorCode ierr;
2096   PetscInt       i,*aj = a->j,*ai = a->i,m = A->rmap->n,len,*col;
2097   MatScalar      *array = a->a;
2098 
2099   PetscFunctionBegin;
2100   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");
2101 
2102   if (reuse == MAT_INITIAL_MATRIX || *B == A) {
2103     ierr = PetscMalloc((1+A->cmap->n)*sizeof(PetscInt),&col);CHKERRQ(ierr);
2104     ierr = PetscMemzero(col,(1+A->cmap->n)*sizeof(PetscInt));CHKERRQ(ierr);
2105 
2106     for (i=0; i<ai[m]; i++) col[aj[i]] += 1;
2107     ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2108     ierr = MatSetSizes(C,A->cmap->n,m,A->cmap->n,m);CHKERRQ(ierr);
2109     ierr = MatSetBlockSizes(C,A->cmap->bs,A->rmap->bs);CHKERRQ(ierr);
2110     ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2111     ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,col);CHKERRQ(ierr);
2112     ierr = PetscFree(col);CHKERRQ(ierr);
2113   } else {
2114     C = *B;
2115   }
2116 
2117   for (i=0; i<m; i++) {
2118     len    = ai[i+1]-ai[i];
2119     ierr   = MatSetValues_SeqAIJ(C,len,aj,1,&i,array,INSERT_VALUES);CHKERRQ(ierr);
2120     array += len;
2121     aj    += len;
2122   }
2123   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2124   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2125 
2126   if (reuse == MAT_INITIAL_MATRIX || *B != A) {
2127     *B = C;
2128   } else {
2129     ierr = MatHeaderMerge(A,C);CHKERRQ(ierr);
2130   }
2131   PetscFunctionReturn(0);
2132 }
2133 
2134 #undef __FUNCT__
2135 #define __FUNCT__ "MatIsTranspose_SeqAIJ"
2136 PetscErrorCode  MatIsTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
2137 {
2138   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) A->data,*bij = (Mat_SeqAIJ*) A->data;
2139   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr;
2140   MatScalar      *va,*vb;
2141   PetscErrorCode ierr;
2142   PetscInt       ma,na,mb,nb, i;
2143 
2144   PetscFunctionBegin;
2145   bij = (Mat_SeqAIJ*) B->data;
2146 
2147   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
2148   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
2149   if (ma!=nb || na!=mb) {
2150     *f = PETSC_FALSE;
2151     PetscFunctionReturn(0);
2152   }
2153   aii  = aij->i; bii = bij->i;
2154   adx  = aij->j; bdx = bij->j;
2155   va   = aij->a; vb = bij->a;
2156   ierr = PetscMalloc(ma*sizeof(PetscInt),&aptr);CHKERRQ(ierr);
2157   ierr = PetscMalloc(mb*sizeof(PetscInt),&bptr);CHKERRQ(ierr);
2158   for (i=0; i<ma; i++) aptr[i] = aii[i];
2159   for (i=0; i<mb; i++) bptr[i] = bii[i];
2160 
2161   *f = PETSC_TRUE;
2162   for (i=0; i<ma; i++) {
2163     while (aptr[i]<aii[i+1]) {
2164       PetscInt    idc,idr;
2165       PetscScalar vc,vr;
2166       /* column/row index/value */
2167       idc = adx[aptr[i]];
2168       idr = bdx[bptr[idc]];
2169       vc  = va[aptr[i]];
2170       vr  = vb[bptr[idc]];
2171       if (i!=idr || PetscAbsScalar(vc-vr) > tol) {
2172         *f = PETSC_FALSE;
2173         goto done;
2174       } else {
2175         aptr[i]++;
2176         if (B || i!=idc) bptr[idc]++;
2177       }
2178     }
2179   }
2180 done:
2181   ierr = PetscFree(aptr);CHKERRQ(ierr);
2182   ierr = PetscFree(bptr);CHKERRQ(ierr);
2183   PetscFunctionReturn(0);
2184 }
2185 
2186 #undef __FUNCT__
2187 #define __FUNCT__ "MatIsHermitianTranspose_SeqAIJ"
2188 PetscErrorCode  MatIsHermitianTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
2189 {
2190   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) A->data,*bij = (Mat_SeqAIJ*) A->data;
2191   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr;
2192   MatScalar      *va,*vb;
2193   PetscErrorCode ierr;
2194   PetscInt       ma,na,mb,nb, i;
2195 
2196   PetscFunctionBegin;
2197   bij = (Mat_SeqAIJ*) B->data;
2198 
2199   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
2200   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
2201   if (ma!=nb || na!=mb) {
2202     *f = PETSC_FALSE;
2203     PetscFunctionReturn(0);
2204   }
2205   aii  = aij->i; bii = bij->i;
2206   adx  = aij->j; bdx = bij->j;
2207   va   = aij->a; vb = bij->a;
2208   ierr = PetscMalloc(ma*sizeof(PetscInt),&aptr);CHKERRQ(ierr);
2209   ierr = PetscMalloc(mb*sizeof(PetscInt),&bptr);CHKERRQ(ierr);
2210   for (i=0; i<ma; i++) aptr[i] = aii[i];
2211   for (i=0; i<mb; i++) bptr[i] = bii[i];
2212 
2213   *f = PETSC_TRUE;
2214   for (i=0; i<ma; i++) {
2215     while (aptr[i]<aii[i+1]) {
2216       PetscInt    idc,idr;
2217       PetscScalar vc,vr;
2218       /* column/row index/value */
2219       idc = adx[aptr[i]];
2220       idr = bdx[bptr[idc]];
2221       vc  = va[aptr[i]];
2222       vr  = vb[bptr[idc]];
2223       if (i!=idr || PetscAbsScalar(vc-PetscConj(vr)) > tol) {
2224         *f = PETSC_FALSE;
2225         goto done;
2226       } else {
2227         aptr[i]++;
2228         if (B || i!=idc) bptr[idc]++;
2229       }
2230     }
2231   }
2232 done:
2233   ierr = PetscFree(aptr);CHKERRQ(ierr);
2234   ierr = PetscFree(bptr);CHKERRQ(ierr);
2235   PetscFunctionReturn(0);
2236 }
2237 
2238 #undef __FUNCT__
2239 #define __FUNCT__ "MatIsSymmetric_SeqAIJ"
2240 PetscErrorCode MatIsSymmetric_SeqAIJ(Mat A,PetscReal tol,PetscBool  *f)
2241 {
2242   PetscErrorCode ierr;
2243 
2244   PetscFunctionBegin;
2245   ierr = MatIsTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
2246   PetscFunctionReturn(0);
2247 }
2248 
2249 #undef __FUNCT__
2250 #define __FUNCT__ "MatIsHermitian_SeqAIJ"
2251 PetscErrorCode MatIsHermitian_SeqAIJ(Mat A,PetscReal tol,PetscBool  *f)
2252 {
2253   PetscErrorCode ierr;
2254 
2255   PetscFunctionBegin;
2256   ierr = MatIsHermitianTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
2257   PetscFunctionReturn(0);
2258 }
2259 
2260 #undef __FUNCT__
2261 #define __FUNCT__ "MatDiagonalScale_SeqAIJ"
2262 PetscErrorCode MatDiagonalScale_SeqAIJ(Mat A,Vec ll,Vec rr)
2263 {
2264   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2265   PetscScalar    *l,*r,x;
2266   MatScalar      *v;
2267   PetscErrorCode ierr;
2268   PetscInt       i,j,m = A->rmap->n,n = A->cmap->n,M,nz = a->nz,*jj;
2269 
2270   PetscFunctionBegin;
2271   if (ll) {
2272     /* The local size is used so that VecMPI can be passed to this routine
2273        by MatDiagonalScale_MPIAIJ */
2274     ierr = VecGetLocalSize(ll,&m);CHKERRQ(ierr);
2275     if (m != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Left scaling vector wrong length");
2276     ierr = VecGetArray(ll,&l);CHKERRQ(ierr);
2277     v    = a->a;
2278     for (i=0; i<m; i++) {
2279       x = l[i];
2280       M = a->i[i+1] - a->i[i];
2281       for (j=0; j<M; j++) (*v++) *= x;
2282     }
2283     ierr = VecRestoreArray(ll,&l);CHKERRQ(ierr);
2284     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
2285   }
2286   if (rr) {
2287     ierr = VecGetLocalSize(rr,&n);CHKERRQ(ierr);
2288     if (n != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Right scaling vector wrong length");
2289     ierr = VecGetArray(rr,&r);CHKERRQ(ierr);
2290     v    = a->a; jj = a->j;
2291     for (i=0; i<nz; i++) (*v++) *= r[*jj++];
2292     ierr = VecRestoreArray(rr,&r);CHKERRQ(ierr);
2293     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
2294   }
2295   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
2296   PetscFunctionReturn(0);
2297 }
2298 
2299 #undef __FUNCT__
2300 #define __FUNCT__ "MatGetSubMatrix_SeqAIJ"
2301 PetscErrorCode MatGetSubMatrix_SeqAIJ(Mat A,IS isrow,IS iscol,PetscInt csize,MatReuse scall,Mat *B)
2302 {
2303   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*c;
2304   PetscErrorCode ierr;
2305   PetscInt       *smap,i,k,kstart,kend,oldcols = A->cmap->n,*lens;
2306   PetscInt       row,mat_i,*mat_j,tcol,first,step,*mat_ilen,sum,lensi;
2307   const PetscInt *irow,*icol;
2308   PetscInt       nrows,ncols;
2309   PetscInt       *starts,*j_new,*i_new,*aj = a->j,*ai = a->i,ii,*ailen = a->ilen;
2310   MatScalar      *a_new,*mat_a;
2311   Mat            C;
2312   PetscBool      stride,sorted;
2313 
2314   PetscFunctionBegin;
2315   ierr = ISSorted(isrow,&sorted);CHKERRQ(ierr);
2316   if (!sorted) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"ISrow is not sorted");
2317   ierr = ISSorted(iscol,&sorted);CHKERRQ(ierr);
2318   if (!sorted) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"IScol is not sorted");
2319 
2320   ierr = ISGetIndices(isrow,&irow);CHKERRQ(ierr);
2321   ierr = ISGetLocalSize(isrow,&nrows);CHKERRQ(ierr);
2322   ierr = ISGetLocalSize(iscol,&ncols);CHKERRQ(ierr);
2323 
2324   ierr = ISStrideGetInfo(iscol,&first,&step);CHKERRQ(ierr);
2325   ierr = PetscObjectTypeCompare((PetscObject)iscol,ISSTRIDE,&stride);CHKERRQ(ierr);
2326   if (stride && step == 1) {
2327     /* special case of contiguous rows */
2328     ierr = PetscMalloc2(nrows,PetscInt,&lens,nrows,PetscInt,&starts);CHKERRQ(ierr);
2329     /* loop over new rows determining lens and starting points */
2330     for (i=0; i<nrows; i++) {
2331       kstart = ai[irow[i]];
2332       kend   = kstart + ailen[irow[i]];
2333       for (k=kstart; k<kend; k++) {
2334         if (aj[k] >= first) {
2335           starts[i] = k;
2336           break;
2337         }
2338       }
2339       sum = 0;
2340       while (k < kend) {
2341         if (aj[k++] >= first+ncols) break;
2342         sum++;
2343       }
2344       lens[i] = sum;
2345     }
2346     /* create submatrix */
2347     if (scall == MAT_REUSE_MATRIX) {
2348       PetscInt n_cols,n_rows;
2349       ierr = MatGetSize(*B,&n_rows,&n_cols);CHKERRQ(ierr);
2350       if (n_rows != nrows || n_cols != ncols) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Reused submatrix wrong size");
2351       ierr = MatZeroEntries(*B);CHKERRQ(ierr);
2352       C    = *B;
2353     } else {
2354       PetscInt rbs,cbs;
2355       ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2356       ierr = MatSetSizes(C,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2357       ierr = ISGetBlockSize(isrow,&rbs);CHKERRQ(ierr);
2358       ierr = ISGetBlockSize(iscol,&cbs);CHKERRQ(ierr);
2359       ierr = MatSetBlockSizes(C,rbs,cbs);CHKERRQ(ierr);
2360       ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2361       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
2362     }
2363     c = (Mat_SeqAIJ*)C->data;
2364 
2365     /* loop over rows inserting into submatrix */
2366     a_new = c->a;
2367     j_new = c->j;
2368     i_new = c->i;
2369 
2370     for (i=0; i<nrows; i++) {
2371       ii    = starts[i];
2372       lensi = lens[i];
2373       for (k=0; k<lensi; k++) {
2374         *j_new++ = aj[ii+k] - first;
2375       }
2376       ierr       = PetscMemcpy(a_new,a->a + starts[i],lensi*sizeof(PetscScalar));CHKERRQ(ierr);
2377       a_new     += lensi;
2378       i_new[i+1] = i_new[i] + lensi;
2379       c->ilen[i] = lensi;
2380     }
2381     ierr = PetscFree2(lens,starts);CHKERRQ(ierr);
2382   } else {
2383     ierr = ISGetIndices(iscol,&icol);CHKERRQ(ierr);
2384     ierr = PetscMalloc(oldcols*sizeof(PetscInt),&smap);CHKERRQ(ierr);
2385     ierr = PetscMemzero(smap,oldcols*sizeof(PetscInt));CHKERRQ(ierr);
2386     ierr = PetscMalloc((1+nrows)*sizeof(PetscInt),&lens);CHKERRQ(ierr);
2387     for (i=0; i<ncols; i++) {
2388 #if defined(PETSC_USE_DEBUG)
2389       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);
2390 #endif
2391       smap[icol[i]] = i+1;
2392     }
2393 
2394     /* determine lens of each row */
2395     for (i=0; i<nrows; i++) {
2396       kstart  = ai[irow[i]];
2397       kend    = kstart + a->ilen[irow[i]];
2398       lens[i] = 0;
2399       for (k=kstart; k<kend; k++) {
2400         if (smap[aj[k]]) {
2401           lens[i]++;
2402         }
2403       }
2404     }
2405     /* Create and fill new matrix */
2406     if (scall == MAT_REUSE_MATRIX) {
2407       PetscBool equal;
2408 
2409       c = (Mat_SeqAIJ*)((*B)->data);
2410       if ((*B)->rmap->n  != nrows || (*B)->cmap->n != ncols) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong size");
2411       ierr = PetscMemcmp(c->ilen,lens,(*B)->rmap->n*sizeof(PetscInt),&equal);CHKERRQ(ierr);
2412       if (!equal) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong no of nonzeros");
2413       ierr = PetscMemzero(c->ilen,(*B)->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
2414       C    = *B;
2415     } else {
2416       PetscInt rbs,cbs;
2417       ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2418       ierr = MatSetSizes(C,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2419       ierr = ISGetBlockSize(isrow,&rbs);CHKERRQ(ierr);
2420       ierr = ISGetBlockSize(iscol,&cbs);CHKERRQ(ierr);
2421       ierr = MatSetBlockSizes(C,rbs,cbs);CHKERRQ(ierr);
2422       ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2423       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
2424     }
2425     c = (Mat_SeqAIJ*)(C->data);
2426     for (i=0; i<nrows; i++) {
2427       row      = irow[i];
2428       kstart   = ai[row];
2429       kend     = kstart + a->ilen[row];
2430       mat_i    = c->i[i];
2431       mat_j    = c->j + mat_i;
2432       mat_a    = c->a + mat_i;
2433       mat_ilen = c->ilen + i;
2434       for (k=kstart; k<kend; k++) {
2435         if ((tcol=smap[a->j[k]])) {
2436           *mat_j++ = tcol - 1;
2437           *mat_a++ = a->a[k];
2438           (*mat_ilen)++;
2439 
2440         }
2441       }
2442     }
2443     /* Free work space */
2444     ierr = ISRestoreIndices(iscol,&icol);CHKERRQ(ierr);
2445     ierr = PetscFree(smap);CHKERRQ(ierr);
2446     ierr = PetscFree(lens);CHKERRQ(ierr);
2447   }
2448   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2449   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2450 
2451   ierr = ISRestoreIndices(isrow,&irow);CHKERRQ(ierr);
2452   *B   = C;
2453   PetscFunctionReturn(0);
2454 }
2455 
2456 #undef __FUNCT__
2457 #define __FUNCT__ "MatGetMultiProcBlock_SeqAIJ"
2458 PetscErrorCode  MatGetMultiProcBlock_SeqAIJ(Mat mat,MPI_Comm subComm,MatReuse scall,Mat *subMat)
2459 {
2460   PetscErrorCode ierr;
2461   Mat            B;
2462 
2463   PetscFunctionBegin;
2464   if (scall == MAT_INITIAL_MATRIX) {
2465     ierr    = MatCreate(subComm,&B);CHKERRQ(ierr);
2466     ierr    = MatSetSizes(B,mat->rmap->n,mat->cmap->n,mat->rmap->n,mat->cmap->n);CHKERRQ(ierr);
2467     ierr    = MatSetBlockSizes(B,mat->rmap->bs,mat->cmap->bs);CHKERRQ(ierr);
2468     ierr    = MatSetType(B,MATSEQAIJ);CHKERRQ(ierr);
2469     ierr    = MatDuplicateNoCreate_SeqAIJ(B,mat,MAT_COPY_VALUES,PETSC_TRUE);CHKERRQ(ierr);
2470     *subMat = B;
2471   } else {
2472     ierr = MatCopy_SeqAIJ(mat,*subMat,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
2473   }
2474   PetscFunctionReturn(0);
2475 }
2476 
2477 #undef __FUNCT__
2478 #define __FUNCT__ "MatILUFactor_SeqAIJ"
2479 PetscErrorCode MatILUFactor_SeqAIJ(Mat inA,IS row,IS col,const MatFactorInfo *info)
2480 {
2481   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)inA->data;
2482   PetscErrorCode ierr;
2483   Mat            outA;
2484   PetscBool      row_identity,col_identity;
2485 
2486   PetscFunctionBegin;
2487   if (info->levels != 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only levels=0 supported for in-place ilu");
2488 
2489   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
2490   ierr = ISIdentity(col,&col_identity);CHKERRQ(ierr);
2491 
2492   outA             = inA;
2493   outA->factortype = MAT_FACTOR_LU;
2494 
2495   ierr = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
2496   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
2497 
2498   a->row = row;
2499 
2500   ierr = PetscObjectReference((PetscObject)col);CHKERRQ(ierr);
2501   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
2502 
2503   a->col = col;
2504 
2505   /* Create the inverse permutation so that it can be used in MatLUFactorNumeric() */
2506   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
2507   ierr = ISInvertPermutation(col,PETSC_DECIDE,&a->icol);CHKERRQ(ierr);
2508   ierr = PetscLogObjectParent((PetscObject)inA,(PetscObject)a->icol);CHKERRQ(ierr);
2509 
2510   if (!a->solve_work) { /* this matrix may have been factored before */
2511     ierr = PetscMalloc((inA->rmap->n+1)*sizeof(PetscScalar),&a->solve_work);CHKERRQ(ierr);
2512     ierr = PetscLogObjectMemory((PetscObject)inA, (inA->rmap->n+1)*sizeof(PetscScalar));CHKERRQ(ierr);
2513   }
2514 
2515   ierr = MatMarkDiagonal_SeqAIJ(inA);CHKERRQ(ierr);
2516   if (row_identity && col_identity) {
2517     ierr = MatLUFactorNumeric_SeqAIJ_inplace(outA,inA,info);CHKERRQ(ierr);
2518   } else {
2519     ierr = MatLUFactorNumeric_SeqAIJ_InplaceWithPerm(outA,inA,info);CHKERRQ(ierr);
2520   }
2521   PetscFunctionReturn(0);
2522 }
2523 
2524 #undef __FUNCT__
2525 #define __FUNCT__ "MatScale_SeqAIJ"
2526 PetscErrorCode MatScale_SeqAIJ(Mat inA,PetscScalar alpha)
2527 {
2528   Mat_SeqAIJ     *a     = (Mat_SeqAIJ*)inA->data;
2529   PetscScalar    oalpha = alpha;
2530   PetscErrorCode ierr;
2531   PetscBLASInt   one = 1,bnz;
2532 
2533   PetscFunctionBegin;
2534   ierr = PetscBLASIntCast(a->nz,&bnz);CHKERRQ(ierr);
2535   PetscStackCallBLAS("BLASscal",BLASscal_(&bnz,&oalpha,a->a,&one));
2536   ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
2537   ierr = MatSeqAIJInvalidateDiagonal(inA);CHKERRQ(ierr);
2538   PetscFunctionReturn(0);
2539 }
2540 
2541 #undef __FUNCT__
2542 #define __FUNCT__ "MatGetSubMatrices_SeqAIJ"
2543 PetscErrorCode MatGetSubMatrices_SeqAIJ(Mat A,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
2544 {
2545   PetscErrorCode ierr;
2546   PetscInt       i;
2547 
2548   PetscFunctionBegin;
2549   if (scall == MAT_INITIAL_MATRIX) {
2550     ierr = PetscMalloc((n+1)*sizeof(Mat),B);CHKERRQ(ierr);
2551   }
2552 
2553   for (i=0; i<n; i++) {
2554     ierr = MatGetSubMatrix_SeqAIJ(A,irow[i],icol[i],PETSC_DECIDE,scall,&(*B)[i]);CHKERRQ(ierr);
2555   }
2556   PetscFunctionReturn(0);
2557 }
2558 
2559 #undef __FUNCT__
2560 #define __FUNCT__ "MatIncreaseOverlap_SeqAIJ"
2561 PetscErrorCode MatIncreaseOverlap_SeqAIJ(Mat A,PetscInt is_max,IS is[],PetscInt ov)
2562 {
2563   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2564   PetscErrorCode ierr;
2565   PetscInt       row,i,j,k,l,m,n,*nidx,isz,val;
2566   const PetscInt *idx;
2567   PetscInt       start,end,*ai,*aj;
2568   PetscBT        table;
2569 
2570   PetscFunctionBegin;
2571   m  = A->rmap->n;
2572   ai = a->i;
2573   aj = a->j;
2574 
2575   if (ov < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"illegal negative overlap value used");
2576 
2577   ierr = PetscMalloc((m+1)*sizeof(PetscInt),&nidx);CHKERRQ(ierr);
2578   ierr = PetscBTCreate(m,&table);CHKERRQ(ierr);
2579 
2580   for (i=0; i<is_max; i++) {
2581     /* Initialize the two local arrays */
2582     isz  = 0;
2583     ierr = PetscBTMemzero(m,table);CHKERRQ(ierr);
2584 
2585     /* Extract the indices, assume there can be duplicate entries */
2586     ierr = ISGetIndices(is[i],&idx);CHKERRQ(ierr);
2587     ierr = ISGetLocalSize(is[i],&n);CHKERRQ(ierr);
2588 
2589     /* Enter these into the temp arrays. I.e., mark table[row], enter row into new index */
2590     for (j=0; j<n; ++j) {
2591       if (!PetscBTLookupSet(table,idx[j])) nidx[isz++] = idx[j];
2592     }
2593     ierr = ISRestoreIndices(is[i],&idx);CHKERRQ(ierr);
2594     ierr = ISDestroy(&is[i]);CHKERRQ(ierr);
2595 
2596     k = 0;
2597     for (j=0; j<ov; j++) { /* for each overlap */
2598       n = isz;
2599       for (; k<n; k++) { /* do only those rows in nidx[k], which are not done yet */
2600         row   = nidx[k];
2601         start = ai[row];
2602         end   = ai[row+1];
2603         for (l = start; l<end; l++) {
2604           val = aj[l];
2605           if (!PetscBTLookupSet(table,val)) nidx[isz++] = val;
2606         }
2607       }
2608     }
2609     ierr = ISCreateGeneral(PETSC_COMM_SELF,isz,nidx,PETSC_COPY_VALUES,(is+i));CHKERRQ(ierr);
2610   }
2611   ierr = PetscBTDestroy(&table);CHKERRQ(ierr);
2612   ierr = PetscFree(nidx);CHKERRQ(ierr);
2613   PetscFunctionReturn(0);
2614 }
2615 
2616 /* -------------------------------------------------------------- */
2617 #undef __FUNCT__
2618 #define __FUNCT__ "MatPermute_SeqAIJ"
2619 PetscErrorCode MatPermute_SeqAIJ(Mat A,IS rowp,IS colp,Mat *B)
2620 {
2621   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2622   PetscErrorCode ierr;
2623   PetscInt       i,nz = 0,m = A->rmap->n,n = A->cmap->n;
2624   const PetscInt *row,*col;
2625   PetscInt       *cnew,j,*lens;
2626   IS             icolp,irowp;
2627   PetscInt       *cwork = NULL;
2628   PetscScalar    *vwork = NULL;
2629 
2630   PetscFunctionBegin;
2631   ierr = ISInvertPermutation(rowp,PETSC_DECIDE,&irowp);CHKERRQ(ierr);
2632   ierr = ISGetIndices(irowp,&row);CHKERRQ(ierr);
2633   ierr = ISInvertPermutation(colp,PETSC_DECIDE,&icolp);CHKERRQ(ierr);
2634   ierr = ISGetIndices(icolp,&col);CHKERRQ(ierr);
2635 
2636   /* determine lengths of permuted rows */
2637   ierr = PetscMalloc((m+1)*sizeof(PetscInt),&lens);CHKERRQ(ierr);
2638   for (i=0; i<m; i++) lens[row[i]] = a->i[i+1] - a->i[i];
2639   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
2640   ierr = MatSetSizes(*B,m,n,m,n);CHKERRQ(ierr);
2641   ierr = MatSetBlockSizes(*B,A->rmap->bs,A->cmap->bs);CHKERRQ(ierr);
2642   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2643   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*B,0,lens);CHKERRQ(ierr);
2644   ierr = PetscFree(lens);CHKERRQ(ierr);
2645 
2646   ierr = PetscMalloc(n*sizeof(PetscInt),&cnew);CHKERRQ(ierr);
2647   for (i=0; i<m; i++) {
2648     ierr = MatGetRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2649     for (j=0; j<nz; j++) cnew[j] = col[cwork[j]];
2650     ierr = MatSetValues_SeqAIJ(*B,1,&row[i],nz,cnew,vwork,INSERT_VALUES);CHKERRQ(ierr);
2651     ierr = MatRestoreRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2652   }
2653   ierr = PetscFree(cnew);CHKERRQ(ierr);
2654 
2655   (*B)->assembled = PETSC_FALSE;
2656 
2657   ierr = MatAssemblyBegin(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2658   ierr = MatAssemblyEnd(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2659   ierr = ISRestoreIndices(irowp,&row);CHKERRQ(ierr);
2660   ierr = ISRestoreIndices(icolp,&col);CHKERRQ(ierr);
2661   ierr = ISDestroy(&irowp);CHKERRQ(ierr);
2662   ierr = ISDestroy(&icolp);CHKERRQ(ierr);
2663   PetscFunctionReturn(0);
2664 }
2665 
2666 #undef __FUNCT__
2667 #define __FUNCT__ "MatCopy_SeqAIJ"
2668 PetscErrorCode MatCopy_SeqAIJ(Mat A,Mat B,MatStructure str)
2669 {
2670   PetscErrorCode ierr;
2671 
2672   PetscFunctionBegin;
2673   /* If the two matrices have the same copy implementation, use fast copy. */
2674   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
2675     Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2676     Mat_SeqAIJ *b = (Mat_SeqAIJ*)B->data;
2677 
2678     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");
2679     ierr = PetscMemcpy(b->a,a->a,(a->i[A->rmap->n])*sizeof(PetscScalar));CHKERRQ(ierr);
2680   } else {
2681     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
2682   }
2683   PetscFunctionReturn(0);
2684 }
2685 
2686 #undef __FUNCT__
2687 #define __FUNCT__ "MatSetUp_SeqAIJ"
2688 PetscErrorCode MatSetUp_SeqAIJ(Mat A)
2689 {
2690   PetscErrorCode ierr;
2691 
2692   PetscFunctionBegin;
2693   ierr =  MatSeqAIJSetPreallocation_SeqAIJ(A,PETSC_DEFAULT,0);CHKERRQ(ierr);
2694   PetscFunctionReturn(0);
2695 }
2696 
2697 #undef __FUNCT__
2698 #define __FUNCT__ "MatSeqAIJGetArray_SeqAIJ"
2699 PetscErrorCode MatSeqAIJGetArray_SeqAIJ(Mat A,PetscScalar *array[])
2700 {
2701   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2702 
2703   PetscFunctionBegin;
2704   *array = a->a;
2705   PetscFunctionReturn(0);
2706 }
2707 
2708 #undef __FUNCT__
2709 #define __FUNCT__ "MatSeqAIJRestoreArray_SeqAIJ"
2710 PetscErrorCode MatSeqAIJRestoreArray_SeqAIJ(Mat A,PetscScalar *array[])
2711 {
2712   PetscFunctionBegin;
2713   PetscFunctionReturn(0);
2714 }
2715 
2716 /* Optimize MatFDColoringApply_AIJ() by using array den2sp to skip calling MatSetValues() */
2717 /* #define JACOBIANCOLOROPT */
2718 #if defined(JACOBIANCOLOROPT)
2719 #include <petsctime.h>
2720 #endif
2721 #undef __FUNCT__
2722 #define __FUNCT__ "MatFDColoringApply_SeqAIJ"
2723 PetscErrorCode MatFDColoringApply_SeqAIJ(Mat J,MatFDColoring coloring,Vec x1,MatStructure *flag,void *sctx)
2724 {
2725   PetscErrorCode (*f)(void*,Vec,Vec,void*) = (PetscErrorCode (*)(void*,Vec,Vec,void*))coloring->f;
2726   PetscErrorCode ierr;
2727   PetscInt       k,l,row,col,N;
2728   PetscScalar    dx,*y,*xx,*w3_array;
2729   PetscScalar    *vscale_array;
2730   PetscReal      epsilon=coloring->error_rel,umin = coloring->umin,unorm;
2731   Vec            w1=coloring->w1,w2=coloring->w2,w3;
2732   void           *fctx=coloring->fctx;
2733   PetscBool      flg=PETSC_FALSE;
2734   Mat_SeqAIJ     *csp=(Mat_SeqAIJ*)J->data;
2735   PetscScalar    *ca=csp->a;
2736   const PetscInt ncolors=coloring->ncolors,*ncolumns=coloring->ncolumns,*nrows=coloring->nrows;
2737   PetscInt       **columns=coloring->columns,ncolumns_k,nrows_k,nz,spidx;
2738 #if defined(JACOBIANCOLOROPT)
2739   PetscLogDouble t0,t1,t_init=0.0,t_setvals=0.0,t_func=0.0,t_dx=0.0,t_kl=0.0,t00,t11;
2740 #endif
2741 
2742   PetscFunctionBegin;
2743 #if defined(JACOBIANCOLOROPT)
2744     ierr = PetscTime(&t0);CHKERRQ(ierr);
2745 #endif
2746   ierr = MatSetUnfactored(J);CHKERRQ(ierr);
2747   ierr = PetscOptionsGetBool(NULL,"-mat_fd_coloring_dont_rezero",&flg,NULL);CHKERRQ(ierr);
2748   if (flg) {
2749     ierr = PetscInfo(coloring,"Not calling MatZeroEntries()\n");CHKERRQ(ierr);
2750   } else {
2751     PetscBool assembled;
2752     ierr = MatAssembled(J,&assembled);CHKERRQ(ierr);
2753     if (assembled) {
2754       ierr = MatZeroEntries(J);CHKERRQ(ierr);
2755     }
2756   }
2757 
2758   if (!coloring->vscale) {
2759     ierr = VecDuplicate(x1,&coloring->vscale);CHKERRQ(ierr);
2760   }
2761 
2762   if (coloring->htype[0] == 'w') { /* tacky test; need to make systematic if we add other approaches to computing h*/
2763     ierr = VecNorm(x1,NORM_2,&unorm);CHKERRQ(ierr);
2764   }
2765 #if defined(JACOBIANCOLOROPT)
2766     ierr = PetscTime(&t1);CHKERRQ(ierr);
2767     t_init += t1 - t0;
2768 #endif
2769 
2770   /* Set w1 = F(x1) */
2771 #if defined(JACOBIANCOLOROPT)
2772     ierr = PetscTime(&t0);CHKERRQ(ierr);
2773 #endif
2774   if (!coloring->fset) {
2775     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2776     ierr = (*f)(sctx,x1,w1,fctx);CHKERRQ(ierr);
2777     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2778   } else {
2779     coloring->fset = PETSC_FALSE;
2780   }
2781 #if defined(JACOBIANCOLOROPT)
2782     ierr = PetscTime(&t1);CHKERRQ(ierr);
2783     t_setvals += t1 - t0;
2784 #endif
2785 
2786 #if defined(JACOBIANCOLOROPT)
2787     ierr = PetscTime(&t0);CHKERRQ(ierr);
2788 #endif
2789   if (!coloring->w3) {
2790     ierr = VecDuplicate(x1,&coloring->w3);CHKERRQ(ierr);
2791     ierr = PetscLogObjectParent((PetscObject)coloring,(PetscObject)coloring->w3);CHKERRQ(ierr);
2792   }
2793   w3 = coloring->w3;
2794 
2795   /* Compute scale factors: vscale = 1./dx = 1./(epsilon*xx) */
2796   ierr = VecGetArray(x1,&xx);CHKERRQ(ierr);
2797   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2798   ierr = VecGetSize(x1,&N);CHKERRQ(ierr);
2799   for (col=0; col<N; col++) {
2800     if (coloring->htype[0] == 'w') {
2801       dx = 1.0 + unorm;
2802     } else {
2803       dx = xx[col];
2804     }
2805     if (dx == (PetscScalar)0.0) dx = 1.0;
2806     if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2807     else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2808     dx               *= epsilon;
2809     vscale_array[col] = (PetscScalar)dx;
2810   }
2811 #if defined(JACOBIANCOLOROPT)
2812     ierr = PetscTime(&t1);CHKERRQ(ierr);
2813     t_init += t1 - t0;
2814 #endif
2815 
2816   nz  = 0;
2817   for (k=0; k<ncolors; k++) { /* loop over colors */
2818 #if defined(JACOBIANCOLOROPT)
2819     ierr = PetscTime(&t0);CHKERRQ(ierr);
2820 #endif
2821     coloring->currentcolor = k;
2822 
2823     /*
2824       Loop over each column associated with color
2825       adding the perturbation to the vector w3 = x1 + dx.
2826     */
2827     ierr = VecCopy(x1,w3);CHKERRQ(ierr);
2828     ierr = VecGetArray(w3,&w3_array);CHKERRQ(ierr);
2829     ncolumns_k = ncolumns[k];
2830     for (l=0; l<ncolumns_k; l++) { /* loop over columns */
2831       col = columns[k][l];
2832       w3_array[col] += vscale_array[col];
2833     }
2834     ierr = VecRestoreArray(w3,&w3_array);CHKERRQ(ierr);
2835 #if defined(JACOBIANCOLOROPT)
2836     ierr = PetscTime(&t1);CHKERRQ(ierr);
2837     t_dx += t1 - t0;
2838 #endif
2839 
2840     /*
2841       Evaluate function at w3 = x1 + dx (here dx is a vector of perturbations)
2842                            w2 = F(x1 + dx) - F(x1)
2843     */
2844 #if defined(JACOBIANCOLOROPT)
2845     ierr = PetscTime(&t0);CHKERRQ(ierr);
2846 #endif
2847     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2848     ierr = (*f)(sctx,w3,w2,fctx);CHKERRQ(ierr);
2849     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2850 #if defined(JACOBIANCOLOROPT)
2851     ierr = PetscTime(&t1);CHKERRQ(ierr);
2852     t_func += t1 - t0;
2853 #endif
2854 
2855 #if defined(JACOBIANCOLOROPT)
2856     ierr = PetscTime(&t0);CHKERRQ(ierr);
2857 #endif
2858     ierr = VecAXPY(w2,-1.0,w1);CHKERRQ(ierr);
2859 
2860     /*
2861       Loop over rows of vector, putting w2/dx into Jacobian matrix
2862     */
2863     ierr = VecGetArray(w2,&y);CHKERRQ(ierr);
2864     nrows_k = nrows[k];
2865     for (l=0; l<nrows_k; l++) { /* loop over rows */
2866 #if defined(JACOBIANCOLOROPT)
2867     ierr = PetscTime(&t00);CHKERRQ(ierr);
2868 #endif
2869       row   = coloring->rowcolden2sp3[nz++];
2870       col   = coloring->rowcolden2sp3[nz++];
2871       spidx = coloring->rowcolden2sp3[nz++];
2872 #if defined(JACOBIANCOLOROPT)
2873       ierr = PetscTime(&t11);CHKERRQ(ierr);
2874       t_kl += t11 - t00;
2875 #endif
2876       ca[spidx] = y[row]/vscale_array[col];
2877     }
2878     ierr = VecRestoreArray(w2,&y);CHKERRQ(ierr);
2879 
2880 #if defined(JACOBIANCOLOROPT)
2881     ierr = PetscTime(&t1);CHKERRQ(ierr);
2882     t_setvals += t1 - t0;
2883 #endif
2884   } /* endof for each color */
2885 #if defined(JACOBIANCOLOROPT)
2886   printf("     FDColorApply time: init %g + func %g + setvalues %g + dx %g= %g\n",t_init,t_func,t_setvals,t_dx,t_init+t_func+t_setvals+t_dx);
2887   printf("     FDColorApply time: kl %g\n",t_kl);
2888 #endif
2889   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2890   ierr = VecRestoreArray(x1,&xx);CHKERRQ(ierr);
2891 
2892   coloring->currentcolor = -1;
2893   PetscFunctionReturn(0);
2894 }
2895 /* --------------------------------------------------------*/
2896 
2897 #undef __FUNCT__
2898 #define __FUNCT__ "MatFDColoringApply_SeqAIJ_old"
2899 PetscErrorCode MatFDColoringApply_SeqAIJ_old(Mat J,MatFDColoring coloring,Vec x1,MatStructure *flag,void *sctx)
2900 {
2901   PetscErrorCode (*f)(void*,Vec,Vec,void*) = (PetscErrorCode (*)(void*,Vec,Vec,void*))coloring->f;
2902   PetscErrorCode ierr;
2903   PetscInt       k,N,start,end,l,row,col,srow,**vscaleforrow;
2904   PetscScalar    dx,*y,*xx,*w3_array;
2905   PetscScalar    *vscale_array;
2906   PetscReal      epsilon = coloring->error_rel,umin = coloring->umin;
2907   Vec            w1,w2,w3;
2908   void           *fctx = coloring->fctx;
2909   PetscBool      flg   = PETSC_FALSE;
2910 
2911   PetscFunctionBegin;
2912   printf("MatFDColoringApply_SeqAIJ ...\n");
2913   if (!coloring->w1) {
2914     ierr = VecDuplicate(x1,&coloring->w1);CHKERRQ(ierr);
2915     ierr = PetscLogObjectParent((PetscObject)coloring,(PetscObject)coloring->w1);CHKERRQ(ierr);
2916     ierr = VecDuplicate(x1,&coloring->w2);CHKERRQ(ierr);
2917     ierr = PetscLogObjectParent((PetscObject)coloring,(PetscObject)coloring->w2);CHKERRQ(ierr);
2918     ierr = VecDuplicate(x1,&coloring->w3);CHKERRQ(ierr);
2919     ierr = PetscLogObjectParent((PetscObject)coloring,(PetscObject)coloring->w3);CHKERRQ(ierr);
2920   }
2921   w1 = coloring->w1; w2 = coloring->w2; w3 = coloring->w3;
2922 
2923   ierr = MatSetUnfactored(J);CHKERRQ(ierr);
2924   ierr = PetscOptionsGetBool(((PetscObject)coloring)->prefix,"-mat_fd_coloring_dont_rezero",&flg,NULL);CHKERRQ(ierr);
2925   if (flg) {
2926     ierr = PetscInfo(coloring,"Not calling MatZeroEntries()\n");CHKERRQ(ierr);
2927   } else {
2928     PetscBool assembled;
2929     ierr = MatAssembled(J,&assembled);CHKERRQ(ierr);
2930     if (assembled) {
2931       ierr = MatZeroEntries(J);CHKERRQ(ierr);
2932     }
2933   }
2934 
2935   ierr = VecGetOwnershipRange(x1,&start,&end);CHKERRQ(ierr);
2936   ierr = VecGetSize(x1,&N);CHKERRQ(ierr);
2937 
2938   if (!coloring->fset) {
2939     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2940     ierr = (*f)(sctx,x1,w1,fctx);CHKERRQ(ierr);
2941     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2942   } else {
2943     coloring->fset = PETSC_FALSE;
2944   }
2945 
2946   /*
2947       Compute all the scale factors and share with other processors
2948   */
2949   ierr = VecGetArray(x1,&xx);CHKERRQ(ierr);xx = xx - start;
2950   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);vscale_array = vscale_array - start;
2951   for (k=0; k<coloring->ncolors; k++) {
2952     /*
2953        Loop over each column associated with color adding the
2954        perturbation to the vector w3.
2955     */
2956     for (l=0; l<coloring->ncolumns[k]; l++) {
2957       col = coloring->columns[k][l];    /* column of the matrix we are probing for */
2958       dx  = xx[col];
2959       if (dx == 0.0) dx = 1.0;
2960       if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2961       else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2962       dx               *= epsilon;
2963       vscale_array[col] = 1.0/dx;
2964     }
2965   }
2966   vscale_array = vscale_array + start;
2967 
2968   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2969   ierr = VecGhostUpdateBegin(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2970   ierr = VecGhostUpdateEnd(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2971 
2972   /*  ierr = VecView(coloring->vscale,PETSC_VIEWER_STDOUT_WORLD);
2973       ierr = VecView(x1,PETSC_VIEWER_STDOUT_WORLD);*/
2974 
2975   if (coloring->vscaleforrow) vscaleforrow = coloring->vscaleforrow;
2976   else                        vscaleforrow = coloring->columnsforrow;
2977 
2978   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2979   /*
2980       Loop over each color
2981   */
2982   for (k=0; k<coloring->ncolors; k++) {
2983     coloring->currentcolor = k;
2984 
2985     ierr = VecCopy(x1,w3);CHKERRQ(ierr);
2986     ierr = VecGetArray(w3,&w3_array);CHKERRQ(ierr);w3_array = w3_array - start;
2987     /*
2988        Loop over each column associated with color adding the
2989        perturbation to the vector w3.
2990     */
2991     for (l=0; l<coloring->ncolumns[k]; l++) {
2992       col = coloring->columns[k][l];    /* column of the matrix we are probing for */
2993       dx  = xx[col];
2994       if (dx == 0.0) dx = 1.0;
2995       if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2996       else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2997       dx *= epsilon;
2998       if (!PetscAbsScalar(dx)) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Computed 0 differencing parameter");
2999       w3_array[col] += dx;
3000     }
3001     w3_array = w3_array + start; ierr = VecRestoreArray(w3,&w3_array);CHKERRQ(ierr);
3002 
3003     /*
3004        Evaluate function at x1 + dx (here dx is a vector of perturbations)
3005     */
3006 
3007     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
3008     ierr = (*f)(sctx,w3,w2,fctx);CHKERRQ(ierr);
3009     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
3010     ierr = VecAXPY(w2,-1.0,w1);CHKERRQ(ierr);
3011 
3012     /*
3013        Loop over rows of vector, putting results into Jacobian matrix
3014     */
3015     ierr = VecGetArray(w2,&y);CHKERRQ(ierr);
3016     for (l=0; l<coloring->nrows[k]; l++) {
3017       row     = coloring->rows[k][l];
3018       col     = coloring->columnsforrow[k][l];
3019       y[row] *= vscale_array[vscaleforrow[k][l]];
3020       srow    = row + start;
3021       ierr    = MatSetValues_SeqAIJ(J,1,&srow,1,&col,y+row,INSERT_VALUES);CHKERRQ(ierr);
3022     }
3023     ierr = VecRestoreArray(w2,&y);CHKERRQ(ierr);
3024   }
3025   coloring->currentcolor = k;
3026 
3027   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
3028   xx   = xx + start;
3029   ierr = VecRestoreArray(x1,&xx);CHKERRQ(ierr);
3030   ierr = MatAssemblyBegin(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3031   ierr = MatAssemblyEnd(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3032   PetscFunctionReturn(0);
3033 }
3034 
3035 /*
3036    Computes the number of nonzeros per row needed for preallocation when X and Y
3037    have different nonzero structure.
3038 */
3039 #undef __FUNCT__
3040 #define __FUNCT__ "MatAXPYGetPreallocation_SeqAIJ"
3041 PetscErrorCode MatAXPYGetPreallocation_SeqAIJ(Mat Y,Mat X,PetscInt *nnz)
3042 {
3043   PetscInt       i,m=Y->rmap->N;
3044   Mat_SeqAIJ     *x  = (Mat_SeqAIJ*)X->data;
3045   Mat_SeqAIJ     *y  = (Mat_SeqAIJ*)Y->data;
3046   const PetscInt *xi = x->i,*yi = y->i;
3047 
3048   PetscFunctionBegin;
3049   /* Set the number of nonzeros in the new matrix */
3050   for (i=0; i<m; i++) {
3051     PetscInt       j,k,nzx = xi[i+1] - xi[i],nzy = yi[i+1] - yi[i];
3052     const PetscInt *xj = x->j+xi[i],*yj = y->j+yi[i];
3053     nnz[i] = 0;
3054     for (j=0,k=0; j<nzx; j++) {                   /* Point in X */
3055       for (; k<nzy && yj[k]<xj[j]; k++) nnz[i]++; /* Catch up to X */
3056       if (k<nzy && yj[k]==xj[j]) k++;             /* Skip duplicate */
3057       nnz[i]++;
3058     }
3059     for (; k<nzy; k++) nnz[i]++;
3060   }
3061   PetscFunctionReturn(0);
3062 }
3063 
3064 #undef __FUNCT__
3065 #define __FUNCT__ "MatAXPY_SeqAIJ"
3066 PetscErrorCode MatAXPY_SeqAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
3067 {
3068   PetscErrorCode ierr;
3069   PetscInt       i;
3070   Mat_SeqAIJ     *x = (Mat_SeqAIJ*)X->data,*y = (Mat_SeqAIJ*)Y->data;
3071   PetscBLASInt   one=1,bnz;
3072 
3073   PetscFunctionBegin;
3074   ierr = PetscBLASIntCast(x->nz,&bnz);CHKERRQ(ierr);
3075   if (str == SAME_NONZERO_PATTERN) {
3076     PetscScalar alpha = a;
3077     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
3078     ierr = MatSeqAIJInvalidateDiagonal(Y);CHKERRQ(ierr);
3079   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
3080     if (y->xtoy && y->XtoY != X) {
3081       ierr = PetscFree(y->xtoy);CHKERRQ(ierr);
3082       ierr = MatDestroy(&y->XtoY);CHKERRQ(ierr);
3083     }
3084     if (!y->xtoy) { /* get xtoy */
3085       ierr    = MatAXPYGetxtoy_Private(X->rmap->n,x->i,x->j,NULL, y->i,y->j,NULL, &y->xtoy);CHKERRQ(ierr);
3086       y->XtoY = X;
3087       ierr    = PetscObjectReference((PetscObject)X);CHKERRQ(ierr);
3088     }
3089     for (i=0; i<x->nz; i++) y->a[y->xtoy[i]] += a*(x->a[i]);
3090     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);
3091   } else {
3092     Mat      B;
3093     PetscInt *nnz;
3094     ierr = PetscMalloc(Y->rmap->N*sizeof(PetscInt),&nnz);CHKERRQ(ierr);
3095     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
3096     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
3097     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
3098     ierr = MatSetBlockSizes(B,Y->rmap->bs,Y->cmap->bs);CHKERRQ(ierr);
3099     ierr = MatSetType(B,(MatType) ((PetscObject)Y)->type_name);CHKERRQ(ierr);
3100     ierr = MatAXPYGetPreallocation_SeqAIJ(Y,X,nnz);CHKERRQ(ierr);
3101     ierr = MatSeqAIJSetPreallocation(B,0,nnz);CHKERRQ(ierr);
3102     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
3103     ierr = MatHeaderReplace(Y,B);CHKERRQ(ierr);
3104     ierr = PetscFree(nnz);CHKERRQ(ierr);
3105   }
3106   PetscFunctionReturn(0);
3107 }
3108 
3109 #undef __FUNCT__
3110 #define __FUNCT__ "MatConjugate_SeqAIJ"
3111 PetscErrorCode  MatConjugate_SeqAIJ(Mat mat)
3112 {
3113 #if defined(PETSC_USE_COMPLEX)
3114   Mat_SeqAIJ  *aij = (Mat_SeqAIJ*)mat->data;
3115   PetscInt    i,nz;
3116   PetscScalar *a;
3117 
3118   PetscFunctionBegin;
3119   nz = aij->nz;
3120   a  = aij->a;
3121   for (i=0; i<nz; i++) a[i] = PetscConj(a[i]);
3122 #else
3123   PetscFunctionBegin;
3124 #endif
3125   PetscFunctionReturn(0);
3126 }
3127 
3128 #undef __FUNCT__
3129 #define __FUNCT__ "MatGetRowMaxAbs_SeqAIJ"
3130 PetscErrorCode MatGetRowMaxAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
3131 {
3132   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3133   PetscErrorCode ierr;
3134   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
3135   PetscReal      atmp;
3136   PetscScalar    *x;
3137   MatScalar      *aa;
3138 
3139   PetscFunctionBegin;
3140   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3141   aa = a->a;
3142   ai = a->i;
3143   aj = a->j;
3144 
3145   ierr = VecSet(v,0.0);CHKERRQ(ierr);
3146   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
3147   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
3148   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
3149   for (i=0; i<m; i++) {
3150     ncols = ai[1] - ai[0]; ai++;
3151     x[i]  = 0.0;
3152     for (j=0; j<ncols; j++) {
3153       atmp = PetscAbsScalar(*aa);
3154       if (PetscAbsScalar(x[i]) < atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
3155       aa++; aj++;
3156     }
3157   }
3158   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
3159   PetscFunctionReturn(0);
3160 }
3161 
3162 #undef __FUNCT__
3163 #define __FUNCT__ "MatGetRowMax_SeqAIJ"
3164 PetscErrorCode MatGetRowMax_SeqAIJ(Mat A,Vec v,PetscInt idx[])
3165 {
3166   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3167   PetscErrorCode ierr;
3168   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
3169   PetscScalar    *x;
3170   MatScalar      *aa;
3171 
3172   PetscFunctionBegin;
3173   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3174   aa = a->a;
3175   ai = a->i;
3176   aj = a->j;
3177 
3178   ierr = VecSet(v,0.0);CHKERRQ(ierr);
3179   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
3180   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
3181   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
3182   for (i=0; i<m; i++) {
3183     ncols = ai[1] - ai[0]; ai++;
3184     if (ncols == A->cmap->n) { /* row is dense */
3185       x[i] = *aa; if (idx) idx[i] = 0;
3186     } else {  /* row is sparse so already KNOW maximum is 0.0 or higher */
3187       x[i] = 0.0;
3188       if (idx) {
3189         idx[i] = 0; /* in case ncols is zero */
3190         for (j=0;j<ncols;j++) { /* find first implicit 0.0 in the row */
3191           if (aj[j] > j) {
3192             idx[i] = j;
3193             break;
3194           }
3195         }
3196       }
3197     }
3198     for (j=0; j<ncols; j++) {
3199       if (PetscRealPart(x[i]) < PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
3200       aa++; aj++;
3201     }
3202   }
3203   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
3204   PetscFunctionReturn(0);
3205 }
3206 
3207 #undef __FUNCT__
3208 #define __FUNCT__ "MatGetRowMinAbs_SeqAIJ"
3209 PetscErrorCode MatGetRowMinAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
3210 {
3211   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3212   PetscErrorCode ierr;
3213   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
3214   PetscReal      atmp;
3215   PetscScalar    *x;
3216   MatScalar      *aa;
3217 
3218   PetscFunctionBegin;
3219   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3220   aa = a->a;
3221   ai = a->i;
3222   aj = a->j;
3223 
3224   ierr = VecSet(v,0.0);CHKERRQ(ierr);
3225   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
3226   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
3227   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);
3228   for (i=0; i<m; i++) {
3229     ncols = ai[1] - ai[0]; ai++;
3230     if (ncols) {
3231       /* Get first nonzero */
3232       for (j = 0; j < ncols; j++) {
3233         atmp = PetscAbsScalar(aa[j]);
3234         if (atmp > 1.0e-12) {
3235           x[i] = atmp;
3236           if (idx) idx[i] = aj[j];
3237           break;
3238         }
3239       }
3240       if (j == ncols) {x[i] = PetscAbsScalar(*aa); if (idx) idx[i] = *aj;}
3241     } else {
3242       x[i] = 0.0; if (idx) idx[i] = 0;
3243     }
3244     for (j = 0; j < ncols; j++) {
3245       atmp = PetscAbsScalar(*aa);
3246       if (atmp > 1.0e-12 && PetscAbsScalar(x[i]) > atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
3247       aa++; aj++;
3248     }
3249   }
3250   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
3251   PetscFunctionReturn(0);
3252 }
3253 
3254 #undef __FUNCT__
3255 #define __FUNCT__ "MatGetRowMin_SeqAIJ"
3256 PetscErrorCode MatGetRowMin_SeqAIJ(Mat A,Vec v,PetscInt idx[])
3257 {
3258   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3259   PetscErrorCode ierr;
3260   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
3261   PetscScalar    *x;
3262   MatScalar      *aa;
3263 
3264   PetscFunctionBegin;
3265   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3266   aa = a->a;
3267   ai = a->i;
3268   aj = a->j;
3269 
3270   ierr = VecSet(v,0.0);CHKERRQ(ierr);
3271   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
3272   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
3273   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
3274   for (i=0; i<m; i++) {
3275     ncols = ai[1] - ai[0]; ai++;
3276     if (ncols == A->cmap->n) { /* row is dense */
3277       x[i] = *aa; if (idx) idx[i] = 0;
3278     } else {  /* row is sparse so already KNOW minimum is 0.0 or lower */
3279       x[i] = 0.0;
3280       if (idx) {   /* find first implicit 0.0 in the row */
3281         idx[i] = 0; /* in case ncols is zero */
3282         for (j=0; j<ncols; j++) {
3283           if (aj[j] > j) {
3284             idx[i] = j;
3285             break;
3286           }
3287         }
3288       }
3289     }
3290     for (j=0; j<ncols; j++) {
3291       if (PetscRealPart(x[i]) > PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
3292       aa++; aj++;
3293     }
3294   }
3295   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
3296   PetscFunctionReturn(0);
3297 }
3298 
3299 #include <petscblaslapack.h>
3300 #include <petsc-private/kernels/blockinvert.h>
3301 
3302 #undef __FUNCT__
3303 #define __FUNCT__ "MatInvertBlockDiagonal_SeqAIJ"
3304 PetscErrorCode  MatInvertBlockDiagonal_SeqAIJ(Mat A,const PetscScalar **values)
3305 {
3306   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
3307   PetscErrorCode ierr;
3308   PetscInt       i,bs = A->rmap->bs,mbs = A->rmap->n/A->rmap->bs,ipvt[5],bs2 = bs*bs,*v_pivots,ij[7],*IJ,j;
3309   MatScalar      *diag,work[25],*v_work;
3310   PetscReal      shift = 0.0;
3311 
3312   PetscFunctionBegin;
3313   if (a->ibdiagvalid) {
3314     if (values) *values = a->ibdiag;
3315     PetscFunctionReturn(0);
3316   }
3317   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
3318   if (!a->ibdiag) {
3319     ierr = PetscMalloc(bs2*mbs*sizeof(PetscScalar),&a->ibdiag);CHKERRQ(ierr);
3320     ierr = PetscLogObjectMemory((PetscObject)A,bs2*mbs*sizeof(PetscScalar));CHKERRQ(ierr);
3321   }
3322   diag = a->ibdiag;
3323   if (values) *values = a->ibdiag;
3324   /* factor and invert each block */
3325   switch (bs) {
3326   case 1:
3327     for (i=0; i<mbs; i++) {
3328       ierr    = MatGetValues(A,1,&i,1,&i,diag+i);CHKERRQ(ierr);
3329       diag[i] = (PetscScalar)1.0 / (diag[i] + shift);
3330     }
3331     break;
3332   case 2:
3333     for (i=0; i<mbs; i++) {
3334       ij[0] = 2*i; ij[1] = 2*i + 1;
3335       ierr  = MatGetValues(A,2,ij,2,ij,diag);CHKERRQ(ierr);
3336       ierr  = PetscKernel_A_gets_inverse_A_2(diag,shift);CHKERRQ(ierr);
3337       ierr  = PetscKernel_A_gets_transpose_A_2(diag);CHKERRQ(ierr);
3338       diag += 4;
3339     }
3340     break;
3341   case 3:
3342     for (i=0; i<mbs; i++) {
3343       ij[0] = 3*i; ij[1] = 3*i + 1; ij[2] = 3*i + 2;
3344       ierr  = MatGetValues(A,3,ij,3,ij,diag);CHKERRQ(ierr);
3345       ierr  = PetscKernel_A_gets_inverse_A_3(diag,shift);CHKERRQ(ierr);
3346       ierr  = PetscKernel_A_gets_transpose_A_3(diag);CHKERRQ(ierr);
3347       diag += 9;
3348     }
3349     break;
3350   case 4:
3351     for (i=0; i<mbs; i++) {
3352       ij[0] = 4*i; ij[1] = 4*i + 1; ij[2] = 4*i + 2; ij[3] = 4*i + 3;
3353       ierr  = MatGetValues(A,4,ij,4,ij,diag);CHKERRQ(ierr);
3354       ierr  = PetscKernel_A_gets_inverse_A_4(diag,shift);CHKERRQ(ierr);
3355       ierr  = PetscKernel_A_gets_transpose_A_4(diag);CHKERRQ(ierr);
3356       diag += 16;
3357     }
3358     break;
3359   case 5:
3360     for (i=0; i<mbs; i++) {
3361       ij[0] = 5*i; ij[1] = 5*i + 1; ij[2] = 5*i + 2; ij[3] = 5*i + 3; ij[4] = 5*i + 4;
3362       ierr  = MatGetValues(A,5,ij,5,ij,diag);CHKERRQ(ierr);
3363       ierr  = PetscKernel_A_gets_inverse_A_5(diag,ipvt,work,shift);CHKERRQ(ierr);
3364       ierr  = PetscKernel_A_gets_transpose_A_5(diag);CHKERRQ(ierr);
3365       diag += 25;
3366     }
3367     break;
3368   case 6:
3369     for (i=0; i<mbs; i++) {
3370       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;
3371       ierr  = MatGetValues(A,6,ij,6,ij,diag);CHKERRQ(ierr);
3372       ierr  = PetscKernel_A_gets_inverse_A_6(diag,shift);CHKERRQ(ierr);
3373       ierr  = PetscKernel_A_gets_transpose_A_6(diag);CHKERRQ(ierr);
3374       diag += 36;
3375     }
3376     break;
3377   case 7:
3378     for (i=0; i<mbs; i++) {
3379       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;
3380       ierr  = MatGetValues(A,7,ij,7,ij,diag);CHKERRQ(ierr);
3381       ierr  = PetscKernel_A_gets_inverse_A_7(diag,shift);CHKERRQ(ierr);
3382       ierr  = PetscKernel_A_gets_transpose_A_7(diag);CHKERRQ(ierr);
3383       diag += 49;
3384     }
3385     break;
3386   default:
3387     ierr = PetscMalloc3(bs,MatScalar,&v_work,bs,PetscInt,&v_pivots,bs,PetscInt,&IJ);CHKERRQ(ierr);
3388     for (i=0; i<mbs; i++) {
3389       for (j=0; j<bs; j++) {
3390         IJ[j] = bs*i + j;
3391       }
3392       ierr  = MatGetValues(A,bs,IJ,bs,IJ,diag);CHKERRQ(ierr);
3393       ierr  = PetscKernel_A_gets_inverse_A(bs,diag,v_pivots,v_work);CHKERRQ(ierr);
3394       ierr  = PetscKernel_A_gets_transpose_A_N(diag,bs);CHKERRQ(ierr);
3395       diag += bs2;
3396     }
3397     ierr = PetscFree3(v_work,v_pivots,IJ);CHKERRQ(ierr);
3398   }
3399   a->ibdiagvalid = PETSC_TRUE;
3400   PetscFunctionReturn(0);
3401 }
3402 
3403 #undef __FUNCT__
3404 #define __FUNCT__ "MatSetRandom_SeqAIJ"
3405 static PetscErrorCode  MatSetRandom_SeqAIJ(Mat x,PetscRandom rctx)
3406 {
3407   PetscErrorCode ierr;
3408   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)x->data;
3409   PetscScalar    a;
3410   PetscInt       m,n,i,j,col;
3411 
3412   PetscFunctionBegin;
3413   if (!x->assembled) {
3414     ierr = MatGetSize(x,&m,&n);CHKERRQ(ierr);
3415     for (i=0; i<m; i++) {
3416       for (j=0; j<aij->imax[i]; j++) {
3417         ierr = PetscRandomGetValue(rctx,&a);CHKERRQ(ierr);
3418         col  = (PetscInt)(n*PetscRealPart(a));
3419         ierr = MatSetValues(x,1,&i,1,&col,&a,ADD_VALUES);CHKERRQ(ierr);
3420       }
3421     }
3422   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet coded");
3423   ierr = MatAssemblyBegin(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3424   ierr = MatAssemblyEnd(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3425   PetscFunctionReturn(0);
3426 }
3427 
3428 extern PetscErrorCode  MatFDColoringApply_AIJ(Mat,MatFDColoring,Vec,MatStructure*,void*);
3429 /* -------------------------------------------------------------------*/
3430 static struct _MatOps MatOps_Values = { MatSetValues_SeqAIJ,
3431                                         MatGetRow_SeqAIJ,
3432                                         MatRestoreRow_SeqAIJ,
3433                                         MatMult_SeqAIJ,
3434                                 /*  4*/ MatMultAdd_SeqAIJ,
3435                                         MatMultTranspose_SeqAIJ,
3436                                         MatMultTransposeAdd_SeqAIJ,
3437                                         0,
3438                                         0,
3439                                         0,
3440                                 /* 10*/ 0,
3441                                         MatLUFactor_SeqAIJ,
3442                                         0,
3443                                         MatSOR_SeqAIJ,
3444                                         MatTranspose_SeqAIJ,
3445                                 /*1 5*/ MatGetInfo_SeqAIJ,
3446                                         MatEqual_SeqAIJ,
3447                                         MatGetDiagonal_SeqAIJ,
3448                                         MatDiagonalScale_SeqAIJ,
3449                                         MatNorm_SeqAIJ,
3450                                 /* 20*/ 0,
3451                                         MatAssemblyEnd_SeqAIJ,
3452                                         MatSetOption_SeqAIJ,
3453                                         MatZeroEntries_SeqAIJ,
3454                                 /* 24*/ MatZeroRows_SeqAIJ,
3455                                         0,
3456                                         0,
3457                                         0,
3458                                         0,
3459                                 /* 29*/ MatSetUp_SeqAIJ,
3460                                         0,
3461                                         0,
3462                                         0,
3463                                         0,
3464                                 /* 34*/ MatDuplicate_SeqAIJ,
3465                                         0,
3466                                         0,
3467                                         MatILUFactor_SeqAIJ,
3468                                         0,
3469                                 /* 39*/ MatAXPY_SeqAIJ,
3470                                         MatGetSubMatrices_SeqAIJ,
3471                                         MatIncreaseOverlap_SeqAIJ,
3472                                         MatGetValues_SeqAIJ,
3473                                         MatCopy_SeqAIJ,
3474                                 /* 44*/ MatGetRowMax_SeqAIJ,
3475                                         MatScale_SeqAIJ,
3476                                         0,
3477                                         MatDiagonalSet_SeqAIJ,
3478                                         MatZeroRowsColumns_SeqAIJ,
3479                                 /* 49*/ MatSetRandom_SeqAIJ,
3480                                         MatGetRowIJ_SeqAIJ,
3481                                         MatRestoreRowIJ_SeqAIJ,
3482                                         MatGetColumnIJ_SeqAIJ,
3483                                         MatRestoreColumnIJ_SeqAIJ,
3484                                 /* 54*/ MatFDColoringCreate_SeqAIJ,
3485                                         0,
3486                                         0,
3487                                         MatPermute_SeqAIJ,
3488                                         0,
3489                                 /* 59*/ 0,
3490                                         MatDestroy_SeqAIJ,
3491                                         MatView_SeqAIJ,
3492                                         0,
3493                                         MatMatMatMult_SeqAIJ_SeqAIJ_SeqAIJ,
3494                                 /* 64*/ MatMatMatMultSymbolic_SeqAIJ_SeqAIJ_SeqAIJ,
3495                                         MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqAIJ,
3496                                         0,
3497                                         0,
3498                                         0,
3499                                 /* 69*/ MatGetRowMaxAbs_SeqAIJ,
3500                                         MatGetRowMinAbs_SeqAIJ,
3501                                         0,
3502                                         MatSetColoring_SeqAIJ,
3503                                         0,
3504                                 /* 74*/ MatSetValuesAdifor_SeqAIJ,
3505                                         MatFDColoringApply_AIJ,
3506                                         0,
3507                                         0,
3508                                         0,
3509                                 /* 79*/ MatFindZeroDiagonals_SeqAIJ,
3510                                         0,
3511                                         0,
3512                                         0,
3513                                         MatLoad_SeqAIJ,
3514                                 /* 84*/ MatIsSymmetric_SeqAIJ,
3515                                         MatIsHermitian_SeqAIJ,
3516                                         0,
3517                                         0,
3518                                         0,
3519                                 /* 89*/ MatMatMult_SeqAIJ_SeqAIJ,
3520                                         MatMatMultSymbolic_SeqAIJ_SeqAIJ,
3521                                         MatMatMultNumeric_SeqAIJ_SeqAIJ,
3522                                         MatPtAP_SeqAIJ_SeqAIJ,
3523                                         MatPtAPSymbolic_SeqAIJ_SeqAIJ_DenseAxpy,
3524                                 /* 94*/ MatPtAPNumeric_SeqAIJ_SeqAIJ,
3525                                         MatMatTransposeMult_SeqAIJ_SeqAIJ,
3526                                         MatMatTransposeMultSymbolic_SeqAIJ_SeqAIJ,
3527                                         MatMatTransposeMultNumeric_SeqAIJ_SeqAIJ,
3528                                         0,
3529                                 /* 99*/ 0,
3530                                         0,
3531                                         0,
3532                                         MatConjugate_SeqAIJ,
3533                                         0,
3534                                 /*104*/ MatSetValuesRow_SeqAIJ,
3535                                         MatRealPart_SeqAIJ,
3536                                         MatImaginaryPart_SeqAIJ,
3537                                         0,
3538                                         0,
3539                                 /*109*/ MatMatSolve_SeqAIJ,
3540                                         0,
3541                                         MatGetRowMin_SeqAIJ,
3542                                         0,
3543                                         MatMissingDiagonal_SeqAIJ,
3544                                 /*114*/ 0,
3545                                         0,
3546                                         0,
3547                                         0,
3548                                         0,
3549                                 /*119*/ 0,
3550                                         0,
3551                                         0,
3552                                         0,
3553                                         MatGetMultiProcBlock_SeqAIJ,
3554                                 /*124*/ MatFindNonzeroRows_SeqAIJ,
3555                                         MatGetColumnNorms_SeqAIJ,
3556                                         MatInvertBlockDiagonal_SeqAIJ,
3557                                         0,
3558                                         0,
3559                                 /*129*/ 0,
3560                                         MatTransposeMatMult_SeqAIJ_SeqAIJ,
3561                                         MatTransposeMatMultSymbolic_SeqAIJ_SeqAIJ,
3562                                         MatTransposeMatMultNumeric_SeqAIJ_SeqAIJ,
3563                                         MatTransposeColoringCreate_SeqAIJ,
3564                                 /*134*/ MatTransColoringApplySpToDen_SeqAIJ,
3565                                         MatTransColoringApplyDenToSp_SeqAIJ,
3566                                         MatRARt_SeqAIJ_SeqAIJ,
3567                                         MatRARtSymbolic_SeqAIJ_SeqAIJ,
3568                                         MatRARtNumeric_SeqAIJ_SeqAIJ,
3569                                  /*139*/0,
3570                                         0
3571 };
3572 
3573 #undef __FUNCT__
3574 #define __FUNCT__ "MatSeqAIJSetColumnIndices_SeqAIJ"
3575 PetscErrorCode  MatSeqAIJSetColumnIndices_SeqAIJ(Mat mat,PetscInt *indices)
3576 {
3577   Mat_SeqAIJ *aij = (Mat_SeqAIJ*)mat->data;
3578   PetscInt   i,nz,n;
3579 
3580   PetscFunctionBegin;
3581   nz = aij->maxnz;
3582   n  = mat->rmap->n;
3583   for (i=0; i<nz; i++) {
3584     aij->j[i] = indices[i];
3585   }
3586   aij->nz = nz;
3587   for (i=0; i<n; i++) {
3588     aij->ilen[i] = aij->imax[i];
3589   }
3590   PetscFunctionReturn(0);
3591 }
3592 
3593 #undef __FUNCT__
3594 #define __FUNCT__ "MatSeqAIJSetColumnIndices"
3595 /*@
3596     MatSeqAIJSetColumnIndices - Set the column indices for all the rows
3597        in the matrix.
3598 
3599   Input Parameters:
3600 +  mat - the SeqAIJ matrix
3601 -  indices - the column indices
3602 
3603   Level: advanced
3604 
3605   Notes:
3606     This can be called if you have precomputed the nonzero structure of the
3607   matrix and want to provide it to the matrix object to improve the performance
3608   of the MatSetValues() operation.
3609 
3610     You MUST have set the correct numbers of nonzeros per row in the call to
3611   MatCreateSeqAIJ(), and the columns indices MUST be sorted.
3612 
3613     MUST be called before any calls to MatSetValues();
3614 
3615     The indices should start with zero, not one.
3616 
3617 @*/
3618 PetscErrorCode  MatSeqAIJSetColumnIndices(Mat mat,PetscInt *indices)
3619 {
3620   PetscErrorCode ierr;
3621 
3622   PetscFunctionBegin;
3623   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3624   PetscValidPointer(indices,2);
3625   ierr = PetscUseMethod(mat,"MatSeqAIJSetColumnIndices_C",(Mat,PetscInt*),(mat,indices));CHKERRQ(ierr);
3626   PetscFunctionReturn(0);
3627 }
3628 
3629 /* ----------------------------------------------------------------------------------------*/
3630 
3631 #undef __FUNCT__
3632 #define __FUNCT__ "MatStoreValues_SeqAIJ"
3633 PetscErrorCode  MatStoreValues_SeqAIJ(Mat mat)
3634 {
3635   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3636   PetscErrorCode ierr;
3637   size_t         nz = aij->i[mat->rmap->n];
3638 
3639   PetscFunctionBegin;
3640   if (aij->nonew != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3641 
3642   /* allocate space for values if not already there */
3643   if (!aij->saved_values) {
3644     ierr = PetscMalloc((nz+1)*sizeof(PetscScalar),&aij->saved_values);CHKERRQ(ierr);
3645     ierr = PetscLogObjectMemory((PetscObject)mat,(nz+1)*sizeof(PetscScalar));CHKERRQ(ierr);
3646   }
3647 
3648   /* copy values over */
3649   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3650   PetscFunctionReturn(0);
3651 }
3652 
3653 #undef __FUNCT__
3654 #define __FUNCT__ "MatStoreValues"
3655 /*@
3656     MatStoreValues - Stashes a copy of the matrix values; this allows, for
3657        example, reuse of the linear part of a Jacobian, while recomputing the
3658        nonlinear portion.
3659 
3660    Collect on Mat
3661 
3662   Input Parameters:
3663 .  mat - the matrix (currently only AIJ matrices support this option)
3664 
3665   Level: advanced
3666 
3667   Common Usage, with SNESSolve():
3668 $    Create Jacobian matrix
3669 $    Set linear terms into matrix
3670 $    Apply boundary conditions to matrix, at this time matrix must have
3671 $      final nonzero structure (i.e. setting the nonlinear terms and applying
3672 $      boundary conditions again will not change the nonzero structure
3673 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3674 $    ierr = MatStoreValues(mat);
3675 $    Call SNESSetJacobian() with matrix
3676 $    In your Jacobian routine
3677 $      ierr = MatRetrieveValues(mat);
3678 $      Set nonlinear terms in matrix
3679 
3680   Common Usage without SNESSolve(), i.e. when you handle nonlinear solve yourself:
3681 $    // build linear portion of Jacobian
3682 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3683 $    ierr = MatStoreValues(mat);
3684 $    loop over nonlinear iterations
3685 $       ierr = MatRetrieveValues(mat);
3686 $       // call MatSetValues(mat,...) to set nonliner portion of Jacobian
3687 $       // call MatAssemblyBegin/End() on matrix
3688 $       Solve linear system with Jacobian
3689 $    endloop
3690 
3691   Notes:
3692     Matrix must already be assemblied before calling this routine
3693     Must set the matrix option MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE); before
3694     calling this routine.
3695 
3696     When this is called multiple times it overwrites the previous set of stored values
3697     and does not allocated additional space.
3698 
3699 .seealso: MatRetrieveValues()
3700 
3701 @*/
3702 PetscErrorCode  MatStoreValues(Mat mat)
3703 {
3704   PetscErrorCode ierr;
3705 
3706   PetscFunctionBegin;
3707   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3708   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3709   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3710   ierr = PetscUseMethod(mat,"MatStoreValues_C",(Mat),(mat));CHKERRQ(ierr);
3711   PetscFunctionReturn(0);
3712 }
3713 
3714 #undef __FUNCT__
3715 #define __FUNCT__ "MatRetrieveValues_SeqAIJ"
3716 PetscErrorCode  MatRetrieveValues_SeqAIJ(Mat mat)
3717 {
3718   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3719   PetscErrorCode ierr;
3720   PetscInt       nz = aij->i[mat->rmap->n];
3721 
3722   PetscFunctionBegin;
3723   if (aij->nonew != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3724   if (!aij->saved_values) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
3725   /* copy values over */
3726   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3727   PetscFunctionReturn(0);
3728 }
3729 
3730 #undef __FUNCT__
3731 #define __FUNCT__ "MatRetrieveValues"
3732 /*@
3733     MatRetrieveValues - Retrieves the copy of the matrix values; this allows, for
3734        example, reuse of the linear part of a Jacobian, while recomputing the
3735        nonlinear portion.
3736 
3737    Collect on Mat
3738 
3739   Input Parameters:
3740 .  mat - the matrix (currently on AIJ matrices support this option)
3741 
3742   Level: advanced
3743 
3744 .seealso: MatStoreValues()
3745 
3746 @*/
3747 PetscErrorCode  MatRetrieveValues(Mat mat)
3748 {
3749   PetscErrorCode ierr;
3750 
3751   PetscFunctionBegin;
3752   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3753   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3754   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3755   ierr = PetscUseMethod(mat,"MatRetrieveValues_C",(Mat),(mat));CHKERRQ(ierr);
3756   PetscFunctionReturn(0);
3757 }
3758 
3759 
3760 /* --------------------------------------------------------------------------------*/
3761 #undef __FUNCT__
3762 #define __FUNCT__ "MatCreateSeqAIJ"
3763 /*@C
3764    MatCreateSeqAIJ - Creates a sparse matrix in AIJ (compressed row) format
3765    (the default parallel PETSc format).  For good matrix assembly performance
3766    the user should preallocate the matrix storage by setting the parameter nz
3767    (or the array nnz).  By setting these parameters accurately, performance
3768    during matrix assembly can be increased by more than a factor of 50.
3769 
3770    Collective on MPI_Comm
3771 
3772    Input Parameters:
3773 +  comm - MPI communicator, set to PETSC_COMM_SELF
3774 .  m - number of rows
3775 .  n - number of columns
3776 .  nz - number of nonzeros per row (same for all rows)
3777 -  nnz - array containing the number of nonzeros in the various rows
3778          (possibly different for each row) or NULL
3779 
3780    Output Parameter:
3781 .  A - the matrix
3782 
3783    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3784    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3785    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3786 
3787    Notes:
3788    If nnz is given then nz is ignored
3789 
3790    The AIJ format (also called the Yale sparse matrix format or
3791    compressed row storage), is fully compatible with standard Fortran 77
3792    storage.  That is, the stored row and column indices can begin at
3793    either one (as in Fortran) or zero.  See the users' manual for details.
3794 
3795    Specify the preallocated storage with either nz or nnz (not both).
3796    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3797    allocation.  For large problems you MUST preallocate memory or you
3798    will get TERRIBLE performance, see the users' manual chapter on matrices.
3799 
3800    By default, this format uses inodes (identical nodes) when possible, to
3801    improve numerical efficiency of matrix-vector products and solves. We
3802    search for consecutive rows with the same nonzero structure, thereby
3803    reusing matrix information to achieve increased efficiency.
3804 
3805    Options Database Keys:
3806 +  -mat_no_inode  - Do not use inodes
3807 -  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3808 
3809    Level: intermediate
3810 
3811 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays()
3812 
3813 @*/
3814 PetscErrorCode  MatCreateSeqAIJ(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
3815 {
3816   PetscErrorCode ierr;
3817 
3818   PetscFunctionBegin;
3819   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3820   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
3821   ierr = MatSetType(*A,MATSEQAIJ);CHKERRQ(ierr);
3822   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*A,nz,nnz);CHKERRQ(ierr);
3823   PetscFunctionReturn(0);
3824 }
3825 
3826 #undef __FUNCT__
3827 #define __FUNCT__ "MatSeqAIJSetPreallocation"
3828 /*@C
3829    MatSeqAIJSetPreallocation - For good matrix assembly performance
3830    the user should preallocate the matrix storage by setting the parameter nz
3831    (or the array nnz).  By setting these parameters accurately, performance
3832    during matrix assembly can be increased by more than a factor of 50.
3833 
3834    Collective on MPI_Comm
3835 
3836    Input Parameters:
3837 +  B - The matrix-free
3838 .  nz - number of nonzeros per row (same for all rows)
3839 -  nnz - array containing the number of nonzeros in the various rows
3840          (possibly different for each row) or NULL
3841 
3842    Notes:
3843      If nnz is given then nz is ignored
3844 
3845     The AIJ format (also called the Yale sparse matrix format or
3846    compressed row storage), is fully compatible with standard Fortran 77
3847    storage.  That is, the stored row and column indices can begin at
3848    either one (as in Fortran) or zero.  See the users' manual for details.
3849 
3850    Specify the preallocated storage with either nz or nnz (not both).
3851    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3852    allocation.  For large problems you MUST preallocate memory or you
3853    will get TERRIBLE performance, see the users' manual chapter on matrices.
3854 
3855    You can call MatGetInfo() to get information on how effective the preallocation was;
3856    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3857    You can also run with the option -info and look for messages with the string
3858    malloc in them to see if additional memory allocation was needed.
3859 
3860    Developers: Use nz of MAT_SKIP_ALLOCATION to not allocate any space for the matrix
3861    entries or columns indices
3862 
3863    By default, this format uses inodes (identical nodes) when possible, to
3864    improve numerical efficiency of matrix-vector products and solves. We
3865    search for consecutive rows with the same nonzero structure, thereby
3866    reusing matrix information to achieve increased efficiency.
3867 
3868    Options Database Keys:
3869 +  -mat_no_inode  - Do not use inodes
3870 .  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3871 -  -mat_aij_oneindex - Internally use indexing starting at 1
3872         rather than 0.  Note that when calling MatSetValues(),
3873         the user still MUST index entries starting at 0!
3874 
3875    Level: intermediate
3876 
3877 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays(), MatGetInfo()
3878 
3879 @*/
3880 PetscErrorCode  MatSeqAIJSetPreallocation(Mat B,PetscInt nz,const PetscInt nnz[])
3881 {
3882   PetscErrorCode ierr;
3883 
3884   PetscFunctionBegin;
3885   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3886   PetscValidType(B,1);
3887   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocation_C",(Mat,PetscInt,const PetscInt[]),(B,nz,nnz));CHKERRQ(ierr);
3888   PetscFunctionReturn(0);
3889 }
3890 
3891 #undef __FUNCT__
3892 #define __FUNCT__ "MatSeqAIJSetPreallocation_SeqAIJ"
3893 PetscErrorCode  MatSeqAIJSetPreallocation_SeqAIJ(Mat B,PetscInt nz,const PetscInt *nnz)
3894 {
3895   Mat_SeqAIJ     *b;
3896   PetscBool      skipallocation = PETSC_FALSE,realalloc = PETSC_FALSE;
3897   PetscErrorCode ierr;
3898   PetscInt       i;
3899 
3900   PetscFunctionBegin;
3901   if (nz >= 0 || nnz) realalloc = PETSC_TRUE;
3902   if (nz == MAT_SKIP_ALLOCATION) {
3903     skipallocation = PETSC_TRUE;
3904     nz             = 0;
3905   }
3906 
3907   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3908   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3909 
3910   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
3911   if (nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %d",nz);
3912   if (nnz) {
3913     for (i=0; i<B->rmap->n; i++) {
3914       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]);
3915       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);
3916     }
3917   }
3918 
3919   B->preallocated = PETSC_TRUE;
3920 
3921   b = (Mat_SeqAIJ*)B->data;
3922 
3923   if (!skipallocation) {
3924     if (!b->imax) {
3925       ierr = PetscMalloc2(B->rmap->n,PetscInt,&b->imax,B->rmap->n,PetscInt,&b->ilen);CHKERRQ(ierr);
3926       ierr = PetscLogObjectMemory((PetscObject)B,2*B->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
3927     }
3928     if (!nnz) {
3929       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 10;
3930       else if (nz < 0) nz = 1;
3931       for (i=0; i<B->rmap->n; i++) b->imax[i] = nz;
3932       nz = nz*B->rmap->n;
3933     } else {
3934       nz = 0;
3935       for (i=0; i<B->rmap->n; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
3936     }
3937     /* b->ilen will count nonzeros in each row so far. */
3938     for (i=0; i<B->rmap->n; i++) b->ilen[i] = 0;
3939 
3940     /* allocate the matrix space */
3941     ierr    = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
3942     ierr    = PetscMalloc3(nz,PetscScalar,&b->a,nz,PetscInt,&b->j,B->rmap->n+1,PetscInt,&b->i);CHKERRQ(ierr);
3943     ierr    = PetscLogObjectMemory((PetscObject)B,(B->rmap->n+1)*sizeof(PetscInt)+nz*(sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
3944     b->i[0] = 0;
3945     for (i=1; i<B->rmap->n+1; i++) {
3946       b->i[i] = b->i[i-1] + b->imax[i-1];
3947     }
3948     b->singlemalloc = PETSC_TRUE;
3949     b->free_a       = PETSC_TRUE;
3950     b->free_ij      = PETSC_TRUE;
3951 #if defined(PETSC_THREADCOMM_ACTIVE)
3952     ierr = MatZeroEntries_SeqAIJ(B);CHKERRQ(ierr);
3953 #endif
3954   } else {
3955     b->free_a  = PETSC_FALSE;
3956     b->free_ij = PETSC_FALSE;
3957   }
3958 
3959   b->nz               = 0;
3960   b->maxnz            = nz;
3961   B->info.nz_unneeded = (double)b->maxnz;
3962   if (realalloc) {
3963     ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3964   }
3965   PetscFunctionReturn(0);
3966 }
3967 
3968 #undef  __FUNCT__
3969 #define __FUNCT__  "MatSeqAIJSetPreallocationCSR"
3970 /*@
3971    MatSeqAIJSetPreallocationCSR - Allocates memory for a sparse sequential matrix in AIJ format.
3972 
3973    Input Parameters:
3974 +  B - the matrix
3975 .  i - the indices into j for the start of each row (starts with zero)
3976 .  j - the column indices for each row (starts with zero) these must be sorted for each row
3977 -  v - optional values in the matrix
3978 
3979    Level: developer
3980 
3981    The i,j,v values are COPIED with this routine; to avoid the copy use MatCreateSeqAIJWithArrays()
3982 
3983 .keywords: matrix, aij, compressed row, sparse, sequential
3984 
3985 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatSeqAIJSetPreallocation(), MatCreateSeqAIJ(), SeqAIJ
3986 @*/
3987 PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat B,const PetscInt i[],const PetscInt j[],const PetscScalar v[])
3988 {
3989   PetscErrorCode ierr;
3990 
3991   PetscFunctionBegin;
3992   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3993   PetscValidType(B,1);
3994   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocationCSR_C",(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,i,j,v));CHKERRQ(ierr);
3995   PetscFunctionReturn(0);
3996 }
3997 
3998 #undef  __FUNCT__
3999 #define __FUNCT__  "MatSeqAIJSetPreallocationCSR_SeqAIJ"
4000 PetscErrorCode  MatSeqAIJSetPreallocationCSR_SeqAIJ(Mat B,const PetscInt Ii[],const PetscInt J[],const PetscScalar v[])
4001 {
4002   PetscInt       i;
4003   PetscInt       m,n;
4004   PetscInt       nz;
4005   PetscInt       *nnz, nz_max = 0;
4006   PetscScalar    *values;
4007   PetscErrorCode ierr;
4008 
4009   PetscFunctionBegin;
4010   if (Ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Ii[0] must be 0 it is %D", Ii[0]);
4011 
4012   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
4013   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
4014 
4015   ierr = MatGetSize(B, &m, &n);CHKERRQ(ierr);
4016   ierr = PetscMalloc((m+1) * sizeof(PetscInt), &nnz);CHKERRQ(ierr);
4017   for (i = 0; i < m; i++) {
4018     nz     = Ii[i+1]- Ii[i];
4019     nz_max = PetscMax(nz_max, nz);
4020     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Local row %D has a negative number of columns %D", i, nnz);
4021     nnz[i] = nz;
4022   }
4023   ierr = MatSeqAIJSetPreallocation(B, 0, nnz);CHKERRQ(ierr);
4024   ierr = PetscFree(nnz);CHKERRQ(ierr);
4025 
4026   if (v) {
4027     values = (PetscScalar*) v;
4028   } else {
4029     ierr = PetscMalloc(nz_max*sizeof(PetscScalar), &values);CHKERRQ(ierr);
4030     ierr = PetscMemzero(values, nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
4031   }
4032 
4033   for (i = 0; i < m; i++) {
4034     nz   = Ii[i+1] - Ii[i];
4035     ierr = MatSetValues_SeqAIJ(B, 1, &i, nz, J+Ii[i], values + (v ? Ii[i] : 0), INSERT_VALUES);CHKERRQ(ierr);
4036   }
4037 
4038   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4039   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4040 
4041   if (!v) {
4042     ierr = PetscFree(values);CHKERRQ(ierr);
4043   }
4044   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
4045   PetscFunctionReturn(0);
4046 }
4047 
4048 #include <../src/mat/impls/dense/seq/dense.h>
4049 #include <petsc-private/kernels/petscaxpy.h>
4050 
4051 #undef __FUNCT__
4052 #define __FUNCT__ "MatMatMultNumeric_SeqDense_SeqAIJ"
4053 /*
4054     Computes (B'*A')' since computing B*A directly is untenable
4055 
4056                n                       p                          p
4057         (              )       (              )         (                  )
4058       m (      A       )  *  n (       B      )   =   m (         C        )
4059         (              )       (              )         (                  )
4060 
4061 */
4062 PetscErrorCode MatMatMultNumeric_SeqDense_SeqAIJ(Mat A,Mat B,Mat C)
4063 {
4064   PetscErrorCode    ierr;
4065   Mat_SeqDense      *sub_a = (Mat_SeqDense*)A->data;
4066   Mat_SeqAIJ        *sub_b = (Mat_SeqAIJ*)B->data;
4067   Mat_SeqDense      *sub_c = (Mat_SeqDense*)C->data;
4068   PetscInt          i,n,m,q,p;
4069   const PetscInt    *ii,*idx;
4070   const PetscScalar *b,*a,*a_q;
4071   PetscScalar       *c,*c_q;
4072 
4073   PetscFunctionBegin;
4074   m    = A->rmap->n;
4075   n    = A->cmap->n;
4076   p    = B->cmap->n;
4077   a    = sub_a->v;
4078   b    = sub_b->a;
4079   c    = sub_c->v;
4080   ierr = PetscMemzero(c,m*p*sizeof(PetscScalar));CHKERRQ(ierr);
4081 
4082   ii  = sub_b->i;
4083   idx = sub_b->j;
4084   for (i=0; i<n; i++) {
4085     q = ii[i+1] - ii[i];
4086     while (q-->0) {
4087       c_q = c + m*(*idx);
4088       a_q = a + m*i;
4089       PetscKernelAXPY(c_q,*b,a_q,m);
4090       idx++;
4091       b++;
4092     }
4093   }
4094   PetscFunctionReturn(0);
4095 }
4096 
4097 #undef __FUNCT__
4098 #define __FUNCT__ "MatMatMultSymbolic_SeqDense_SeqAIJ"
4099 PetscErrorCode MatMatMultSymbolic_SeqDense_SeqAIJ(Mat A,Mat B,PetscReal fill,Mat *C)
4100 {
4101   PetscErrorCode ierr;
4102   PetscInt       m=A->rmap->n,n=B->cmap->n;
4103   Mat            Cmat;
4104 
4105   PetscFunctionBegin;
4106   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);
4107   ierr = MatCreate(PetscObjectComm((PetscObject)A),&Cmat);CHKERRQ(ierr);
4108   ierr = MatSetSizes(Cmat,m,n,m,n);CHKERRQ(ierr);
4109   ierr = MatSetBlockSizes(Cmat,A->rmap->bs,B->cmap->bs);CHKERRQ(ierr);
4110   ierr = MatSetType(Cmat,MATSEQDENSE);CHKERRQ(ierr);
4111   ierr = MatSeqDenseSetPreallocation(Cmat,NULL);CHKERRQ(ierr);
4112 
4113   Cmat->ops->matmultnumeric = MatMatMultNumeric_SeqDense_SeqAIJ;
4114 
4115   *C = Cmat;
4116   PetscFunctionReturn(0);
4117 }
4118 
4119 /* ----------------------------------------------------------------*/
4120 #undef __FUNCT__
4121 #define __FUNCT__ "MatMatMult_SeqDense_SeqAIJ"
4122 PetscErrorCode MatMatMult_SeqDense_SeqAIJ(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
4123 {
4124   PetscErrorCode ierr;
4125 
4126   PetscFunctionBegin;
4127   if (scall == MAT_INITIAL_MATRIX) {
4128     ierr = PetscLogEventBegin(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
4129     ierr = MatMatMultSymbolic_SeqDense_SeqAIJ(A,B,fill,C);CHKERRQ(ierr);
4130     ierr = PetscLogEventEnd(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
4131   }
4132   ierr = PetscLogEventBegin(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
4133   ierr = MatMatMultNumeric_SeqDense_SeqAIJ(A,B,*C);CHKERRQ(ierr);
4134   ierr = PetscLogEventEnd(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
4135   PetscFunctionReturn(0);
4136 }
4137 
4138 
4139 /*MC
4140    MATSEQAIJ - MATSEQAIJ = "seqaij" - A matrix type to be used for sequential sparse matrices,
4141    based on compressed sparse row format.
4142 
4143    Options Database Keys:
4144 . -mat_type seqaij - sets the matrix type to "seqaij" during a call to MatSetFromOptions()
4145 
4146   Level: beginner
4147 
4148 .seealso: MatCreateSeqAIJ(), MatSetFromOptions(), MatSetType(), MatCreate(), MatType
4149 M*/
4150 
4151 /*MC
4152    MATAIJ - MATAIJ = "aij" - A matrix type to be used for sparse matrices.
4153 
4154    This matrix type is identical to MATSEQAIJ when constructed with a single process communicator,
4155    and MATMPIAIJ otherwise.  As a result, for single process communicators,
4156   MatSeqAIJSetPreallocation is supported, and similarly MatMPIAIJSetPreallocation is supported
4157   for communicators controlling multiple processes.  It is recommended that you call both of
4158   the above preallocation routines for simplicity.
4159 
4160    Options Database Keys:
4161 . -mat_type aij - sets the matrix type to "aij" during a call to MatSetFromOptions()
4162 
4163   Developer Notes: Subclasses include MATAIJCUSP, MATAIJPERM, MATAIJCRL, and also automatically switches over to use inodes when
4164    enough exist.
4165 
4166   Level: beginner
4167 
4168 .seealso: MatCreateAIJ(), MatCreateSeqAIJ(), MATSEQAIJ,MATMPIAIJ
4169 M*/
4170 
4171 /*MC
4172    MATAIJCRL - MATAIJCRL = "aijcrl" - A matrix type to be used for sparse matrices.
4173 
4174    This matrix type is identical to MATSEQAIJCRL when constructed with a single process communicator,
4175    and MATMPIAIJCRL otherwise.  As a result, for single process communicators,
4176    MatSeqAIJSetPreallocation() is supported, and similarly MatMPIAIJSetPreallocation() is supported
4177   for communicators controlling multiple processes.  It is recommended that you call both of
4178   the above preallocation routines for simplicity.
4179 
4180    Options Database Keys:
4181 . -mat_type aijcrl - sets the matrix type to "aijcrl" during a call to MatSetFromOptions()
4182 
4183   Level: beginner
4184 
4185 .seealso: MatCreateMPIAIJCRL,MATSEQAIJCRL,MATMPIAIJCRL, MATSEQAIJCRL, MATMPIAIJCRL
4186 M*/
4187 
4188 #if defined(PETSC_HAVE_PASTIX)
4189 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_pastix(Mat,MatFactorType,Mat*);
4190 #endif
4191 #if defined(PETSC_HAVE_ESSL) && !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_REAL_SINGLE) && !defined(PETSC_USE_REAL___FLOAT128)
4192 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_essl(Mat,MatFactorType,Mat*);
4193 #endif
4194 PETSC_EXTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJCRL(Mat,MatType,MatReuse,Mat*);
4195 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_petsc(Mat,MatFactorType,Mat*);
4196 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_bas(Mat,MatFactorType,Mat*);
4197 extern PetscErrorCode  MatGetFactorAvailable_seqaij_petsc(Mat,MatFactorType,PetscBool*);
4198 #if defined(PETSC_HAVE_MUMPS)
4199 PETSC_EXTERN PetscErrorCode MatGetFactor_aij_mumps(Mat,MatFactorType,Mat*);
4200 #endif
4201 #if defined(PETSC_HAVE_SUPERLU)
4202 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_superlu(Mat,MatFactorType,Mat*);
4203 #endif
4204 #if defined(PETSC_HAVE_SUPERLU_DIST)
4205 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_superlu_dist(Mat,MatFactorType,Mat*);
4206 #endif
4207 #if defined(PETSC_HAVE_UMFPACK)
4208 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_umfpack(Mat,MatFactorType,Mat*);
4209 #endif
4210 #if defined(PETSC_HAVE_CHOLMOD)
4211 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_cholmod(Mat,MatFactorType,Mat*);
4212 #endif
4213 #if defined(PETSC_HAVE_LUSOL)
4214 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_lusol(Mat,MatFactorType,Mat*);
4215 #endif
4216 #if defined(PETSC_HAVE_MATLAB_ENGINE)
4217 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_matlab(Mat,MatFactorType,Mat*);
4218 extern PetscErrorCode  MatlabEnginePut_SeqAIJ(PetscObject,void*);
4219 extern PetscErrorCode  MatlabEngineGet_SeqAIJ(PetscObject,void*);
4220 #endif
4221 #if defined(PETSC_HAVE_CLIQUE)
4222 PETSC_EXTERN PetscErrorCode MatGetFactor_aij_clique(Mat,MatFactorType,Mat*);
4223 #endif
4224 
4225 
4226 #undef __FUNCT__
4227 #define __FUNCT__ "MatSeqAIJGetArray"
4228 /*@C
4229    MatSeqAIJGetArray - gives access to the array where the data for a SeqSeqAIJ matrix is stored
4230 
4231    Not Collective
4232 
4233    Input Parameter:
4234 .  mat - a MATSEQDENSE matrix
4235 
4236    Output Parameter:
4237 .   array - pointer to the data
4238 
4239    Level: intermediate
4240 
4241 .seealso: MatSeqAIJRestoreArray(), MatSeqAIJGetArrayF90()
4242 @*/
4243 PetscErrorCode  MatSeqAIJGetArray(Mat A,PetscScalar **array)
4244 {
4245   PetscErrorCode ierr;
4246 
4247   PetscFunctionBegin;
4248   ierr = PetscUseMethod(A,"MatSeqAIJGetArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
4249   PetscFunctionReturn(0);
4250 }
4251 
4252 #undef __FUNCT__
4253 #define __FUNCT__ "MatSeqAIJRestoreArray"
4254 /*@C
4255    MatSeqAIJRestoreArray - returns access to the array where the data for a SeqSeqAIJ matrix is stored obtained by MatSeqAIJGetArray()
4256 
4257    Not Collective
4258 
4259    Input Parameters:
4260 .  mat - a MATSEQDENSE matrix
4261 .  array - pointer to the data
4262 
4263    Level: intermediate
4264 
4265 .seealso: MatSeqAIJGetArray(), MatSeqAIJRestoreArrayF90()
4266 @*/
4267 PetscErrorCode  MatSeqAIJRestoreArray(Mat A,PetscScalar **array)
4268 {
4269   PetscErrorCode ierr;
4270 
4271   PetscFunctionBegin;
4272   ierr = PetscUseMethod(A,"MatSeqAIJRestoreArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
4273   PetscFunctionReturn(0);
4274 }
4275 
4276 #undef __FUNCT__
4277 #define __FUNCT__ "MatCreate_SeqAIJ"
4278 PETSC_EXTERN PetscErrorCode MatCreate_SeqAIJ(Mat B)
4279 {
4280   Mat_SeqAIJ     *b;
4281   PetscErrorCode ierr;
4282   PetscMPIInt    size;
4283 
4284   PetscFunctionBegin;
4285   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&size);CHKERRQ(ierr);
4286   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Comm must be of size 1");
4287 
4288   ierr = PetscNewLog(B,Mat_SeqAIJ,&b);CHKERRQ(ierr);
4289 
4290   B->data = (void*)b;
4291 
4292   ierr = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
4293 
4294   b->row                = 0;
4295   b->col                = 0;
4296   b->icol               = 0;
4297   b->reallocs           = 0;
4298   b->ignorezeroentries  = PETSC_FALSE;
4299   b->roworiented        = PETSC_TRUE;
4300   b->nonew              = 0;
4301   b->diag               = 0;
4302   b->solve_work         = 0;
4303   B->spptr              = 0;
4304   b->saved_values       = 0;
4305   b->idiag              = 0;
4306   b->mdiag              = 0;
4307   b->ssor_work          = 0;
4308   b->omega              = 1.0;
4309   b->fshift             = 0.0;
4310   b->idiagvalid         = PETSC_FALSE;
4311   b->ibdiagvalid        = PETSC_FALSE;
4312   b->keepnonzeropattern = PETSC_FALSE;
4313   b->xtoy               = 0;
4314   b->XtoY               = 0;
4315   B->same_nonzero       = PETSC_FALSE;
4316 
4317   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
4318   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJGetArray_C",MatSeqAIJGetArray_SeqAIJ);CHKERRQ(ierr);
4319   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJRestoreArray_C",MatSeqAIJRestoreArray_SeqAIJ);CHKERRQ(ierr);
4320 
4321 #if defined(PETSC_HAVE_MATLAB_ENGINE)
4322   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_matlab_C",MatGetFactor_seqaij_matlab);CHKERRQ(ierr);
4323   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEnginePut_C",MatlabEnginePut_SeqAIJ);CHKERRQ(ierr);
4324   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEngineGet_C",MatlabEngineGet_SeqAIJ);CHKERRQ(ierr);
4325 #endif
4326 #if defined(PETSC_HAVE_PASTIX)
4327   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_pastix_C",MatGetFactor_seqaij_pastix);CHKERRQ(ierr);
4328 #endif
4329 #if defined(PETSC_HAVE_ESSL) && !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_REAL_SINGLE) && !defined(PETSC_USE_REAL___FLOAT128)
4330   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_essl_C",MatGetFactor_seqaij_essl);CHKERRQ(ierr);
4331 #endif
4332 #if defined(PETSC_HAVE_SUPERLU)
4333   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_superlu_C",MatGetFactor_seqaij_superlu);CHKERRQ(ierr);
4334 #endif
4335 #if defined(PETSC_HAVE_SUPERLU_DIST)
4336   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_superlu_dist_C",MatGetFactor_seqaij_superlu_dist);CHKERRQ(ierr);
4337 #endif
4338 #if defined(PETSC_HAVE_MUMPS)
4339   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_mumps_C",MatGetFactor_aij_mumps);CHKERRQ(ierr);
4340 #endif
4341 #if defined(PETSC_HAVE_UMFPACK)
4342   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_umfpack_C",MatGetFactor_seqaij_umfpack);CHKERRQ(ierr);
4343 #endif
4344 #if defined(PETSC_HAVE_CHOLMOD)
4345   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_cholmod_C",MatGetFactor_seqaij_cholmod);CHKERRQ(ierr);
4346 #endif
4347 #if defined(PETSC_HAVE_LUSOL)
4348   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_lusol_C",MatGetFactor_seqaij_lusol);CHKERRQ(ierr);
4349 #endif
4350 #if defined(PETSC_HAVE_CLIQUE)
4351   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_clique_C",MatGetFactor_aij_clique);CHKERRQ(ierr);
4352 #endif
4353 
4354   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_petsc_C",MatGetFactor_seqaij_petsc);CHKERRQ(ierr);
4355   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactorAvailable_petsc_C",MatGetFactorAvailable_seqaij_petsc);CHKERRQ(ierr);
4356   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_bas_C",MatGetFactor_seqaij_bas);CHKERRQ(ierr);
4357   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetColumnIndices_C",MatSeqAIJSetColumnIndices_SeqAIJ);CHKERRQ(ierr);
4358   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_SeqAIJ);CHKERRQ(ierr);
4359   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_SeqAIJ);CHKERRQ(ierr);
4360   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqsbaij_C",MatConvert_SeqAIJ_SeqSBAIJ);CHKERRQ(ierr);
4361   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqbaij_C",MatConvert_SeqAIJ_SeqBAIJ);CHKERRQ(ierr);
4362   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijperm_C",MatConvert_SeqAIJ_SeqAIJPERM);CHKERRQ(ierr);
4363   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijcrl_C",MatConvert_SeqAIJ_SeqAIJCRL);CHKERRQ(ierr);
4364   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4365   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsHermitianTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4366   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocation_C",MatSeqAIJSetPreallocation_SeqAIJ);CHKERRQ(ierr);
4367   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocationCSR_C",MatSeqAIJSetPreallocationCSR_SeqAIJ);CHKERRQ(ierr);
4368   ierr = PetscObjectComposeFunction((PetscObject)B,"MatReorderForNonzeroDiagonal_C",MatReorderForNonzeroDiagonal_SeqAIJ);CHKERRQ(ierr);
4369   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMult_seqdense_seqaij_C",MatMatMult_SeqDense_SeqAIJ);CHKERRQ(ierr);
4370   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultSymbolic_seqdense_seqaij_C",MatMatMultSymbolic_SeqDense_SeqAIJ);CHKERRQ(ierr);
4371   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultNumeric_seqdense_seqaij_C",MatMatMultNumeric_SeqDense_SeqAIJ);CHKERRQ(ierr);
4372   ierr = MatCreate_SeqAIJ_Inode(B);CHKERRQ(ierr);
4373   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
4374   PetscFunctionReturn(0);
4375 }
4376 
4377 #undef __FUNCT__
4378 #define __FUNCT__ "MatDuplicateNoCreate_SeqAIJ"
4379 /*
4380     Given a matrix generated with MatGetFactor() duplicates all the information in A into B
4381 */
4382 PetscErrorCode MatDuplicateNoCreate_SeqAIJ(Mat C,Mat A,MatDuplicateOption cpvalues,PetscBool mallocmatspace)
4383 {
4384   Mat_SeqAIJ     *c,*a = (Mat_SeqAIJ*)A->data;
4385   PetscErrorCode ierr;
4386   PetscInt       i,m = A->rmap->n;
4387 
4388   PetscFunctionBegin;
4389   c = (Mat_SeqAIJ*)C->data;
4390 
4391   C->factortype = A->factortype;
4392   c->row        = 0;
4393   c->col        = 0;
4394   c->icol       = 0;
4395   c->reallocs   = 0;
4396 
4397   C->assembled = PETSC_TRUE;
4398 
4399   ierr = PetscLayoutReference(A->rmap,&C->rmap);CHKERRQ(ierr);
4400   ierr = PetscLayoutReference(A->cmap,&C->cmap);CHKERRQ(ierr);
4401 
4402   ierr = PetscMalloc2(m,PetscInt,&c->imax,m,PetscInt,&c->ilen);CHKERRQ(ierr);
4403   ierr = PetscLogObjectMemory((PetscObject)C, 2*m*sizeof(PetscInt));CHKERRQ(ierr);
4404   for (i=0; i<m; i++) {
4405     c->imax[i] = a->imax[i];
4406     c->ilen[i] = a->ilen[i];
4407   }
4408 
4409   /* allocate the matrix space */
4410   if (mallocmatspace) {
4411     ierr = PetscMalloc3(a->i[m],PetscScalar,&c->a,a->i[m],PetscInt,&c->j,m+1,PetscInt,&c->i);CHKERRQ(ierr);
4412     ierr = PetscLogObjectMemory((PetscObject)C, a->i[m]*(sizeof(PetscScalar)+sizeof(PetscInt))+(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4413 
4414     c->singlemalloc = PETSC_TRUE;
4415 
4416     ierr = PetscMemcpy(c->i,a->i,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4417     if (m > 0) {
4418       ierr = PetscMemcpy(c->j,a->j,(a->i[m])*sizeof(PetscInt));CHKERRQ(ierr);
4419       if (cpvalues == MAT_COPY_VALUES) {
4420         ierr = PetscMemcpy(c->a,a->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4421       } else {
4422         ierr = PetscMemzero(c->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4423       }
4424     }
4425   }
4426 
4427   c->ignorezeroentries = a->ignorezeroentries;
4428   c->roworiented       = a->roworiented;
4429   c->nonew             = a->nonew;
4430   if (a->diag) {
4431     ierr = PetscMalloc((m+1)*sizeof(PetscInt),&c->diag);CHKERRQ(ierr);
4432     ierr = PetscLogObjectMemory((PetscObject)C,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4433     for (i=0; i<m; i++) {
4434       c->diag[i] = a->diag[i];
4435     }
4436   } else c->diag = 0;
4437 
4438   c->solve_work         = 0;
4439   c->saved_values       = 0;
4440   c->idiag              = 0;
4441   c->ssor_work          = 0;
4442   c->keepnonzeropattern = a->keepnonzeropattern;
4443   c->free_a             = PETSC_TRUE;
4444   c->free_ij            = PETSC_TRUE;
4445   c->xtoy               = 0;
4446   c->XtoY               = 0;
4447 
4448   c->rmax         = a->rmax;
4449   c->nz           = a->nz;
4450   c->maxnz        = a->nz;       /* Since we allocate exactly the right amount */
4451   C->preallocated = PETSC_TRUE;
4452 
4453   c->compressedrow.use   = a->compressedrow.use;
4454   c->compressedrow.nrows = a->compressedrow.nrows;
4455   c->compressedrow.check = a->compressedrow.check;
4456   if (a->compressedrow.use) {
4457     i    = a->compressedrow.nrows;
4458     ierr = PetscMalloc2(i+1,PetscInt,&c->compressedrow.i,i,PetscInt,&c->compressedrow.rindex);CHKERRQ(ierr);
4459     ierr = PetscMemcpy(c->compressedrow.i,a->compressedrow.i,(i+1)*sizeof(PetscInt));CHKERRQ(ierr);
4460     ierr = PetscMemcpy(c->compressedrow.rindex,a->compressedrow.rindex,i*sizeof(PetscInt));CHKERRQ(ierr);
4461   } else {
4462     c->compressedrow.use    = PETSC_FALSE;
4463     c->compressedrow.i      = NULL;
4464     c->compressedrow.rindex = NULL;
4465   }
4466   C->same_nonzero = A->same_nonzero;
4467 
4468   ierr = MatDuplicate_SeqAIJ_Inode(A,cpvalues,&C);CHKERRQ(ierr);
4469   ierr = PetscFunctionListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
4470   PetscFunctionReturn(0);
4471 }
4472 
4473 #undef __FUNCT__
4474 #define __FUNCT__ "MatDuplicate_SeqAIJ"
4475 PetscErrorCode MatDuplicate_SeqAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
4476 {
4477   PetscErrorCode ierr;
4478 
4479   PetscFunctionBegin;
4480   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
4481   ierr = MatSetSizes(*B,A->rmap->n,A->cmap->n,A->rmap->n,A->cmap->n);CHKERRQ(ierr);
4482   ierr = MatSetBlockSizes(*B,A->rmap->bs,A->cmap->bs);CHKERRQ(ierr);
4483   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
4484   ierr = MatDuplicateNoCreate_SeqAIJ(*B,A,cpvalues,PETSC_TRUE);CHKERRQ(ierr);
4485   PetscFunctionReturn(0);
4486 }
4487 
4488 #undef __FUNCT__
4489 #define __FUNCT__ "MatLoad_SeqAIJ"
4490 PetscErrorCode MatLoad_SeqAIJ(Mat newMat, PetscViewer viewer)
4491 {
4492   Mat_SeqAIJ     *a;
4493   PetscErrorCode ierr;
4494   PetscInt       i,sum,nz,header[4],*rowlengths = 0,M,N,rows,cols;
4495   int            fd;
4496   PetscMPIInt    size;
4497   MPI_Comm       comm;
4498   PetscInt       bs = 1;
4499 
4500   PetscFunctionBegin;
4501   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
4502   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4503   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"view must have one processor");
4504 
4505   ierr = PetscOptionsBegin(comm,NULL,"Options for loading SEQAIJ matrix","Mat");CHKERRQ(ierr);
4506   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
4507   ierr = PetscOptionsEnd();CHKERRQ(ierr);
4508   if (bs > 1) {ierr = MatSetBlockSize(newMat,bs);CHKERRQ(ierr);}
4509 
4510   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
4511   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
4512   if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object in file");
4513   M = header[1]; N = header[2]; nz = header[3];
4514 
4515   if (nz < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk,cannot load as SeqAIJ");
4516 
4517   /* read in row lengths */
4518   ierr = PetscMalloc(M*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
4519   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
4520 
4521   /* check if sum of rowlengths is same as nz */
4522   for (i=0,sum=0; i< M; i++) sum +=rowlengths[i];
4523   if (sum != nz) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_FILE_READ,"Inconsistant matrix data in file. no-nonzeros = %d, sum-row-lengths = %d\n",nz,sum);
4524 
4525   /* set global size if not set already*/
4526   if (newMat->rmap->n < 0 && newMat->rmap->N < 0 && newMat->cmap->n < 0 && newMat->cmap->N < 0) {
4527     ierr = MatSetSizes(newMat,PETSC_DECIDE,PETSC_DECIDE,M,N);CHKERRQ(ierr);
4528   } else {
4529     /* if sizes and type are already set, check if the vector global sizes are correct */
4530     ierr = MatGetSize(newMat,&rows,&cols);CHKERRQ(ierr);
4531     if (rows < 0 && cols < 0) { /* user might provide local size instead of global size */
4532       ierr = MatGetLocalSize(newMat,&rows,&cols);CHKERRQ(ierr);
4533     }
4534     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);
4535   }
4536   ierr = MatSeqAIJSetPreallocation_SeqAIJ(newMat,0,rowlengths);CHKERRQ(ierr);
4537   a    = (Mat_SeqAIJ*)newMat->data;
4538 
4539   ierr = PetscBinaryRead(fd,a->j,nz,PETSC_INT);CHKERRQ(ierr);
4540 
4541   /* read in nonzero values */
4542   ierr = PetscBinaryRead(fd,a->a,nz,PETSC_SCALAR);CHKERRQ(ierr);
4543 
4544   /* set matrix "i" values */
4545   a->i[0] = 0;
4546   for (i=1; i<= M; i++) {
4547     a->i[i]      = a->i[i-1] + rowlengths[i-1];
4548     a->ilen[i-1] = rowlengths[i-1];
4549   }
4550   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
4551 
4552   ierr = MatAssemblyBegin(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4553   ierr = MatAssemblyEnd(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4554   PetscFunctionReturn(0);
4555 }
4556 
4557 #undef __FUNCT__
4558 #define __FUNCT__ "MatEqual_SeqAIJ"
4559 PetscErrorCode MatEqual_SeqAIJ(Mat A,Mat B,PetscBool * flg)
4560 {
4561   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*b = (Mat_SeqAIJ*)B->data;
4562   PetscErrorCode ierr;
4563 #if defined(PETSC_USE_COMPLEX)
4564   PetscInt k;
4565 #endif
4566 
4567   PetscFunctionBegin;
4568   /* If the  matrix dimensions are not equal,or no of nonzeros */
4569   if ((A->rmap->n != B->rmap->n) || (A->cmap->n != B->cmap->n) ||(a->nz != b->nz)) {
4570     *flg = PETSC_FALSE;
4571     PetscFunctionReturn(0);
4572   }
4573 
4574   /* if the a->i are the same */
4575   ierr = PetscMemcmp(a->i,b->i,(A->rmap->n+1)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4576   if (!*flg) PetscFunctionReturn(0);
4577 
4578   /* if a->j are the same */
4579   ierr = PetscMemcmp(a->j,b->j,(a->nz)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4580   if (!*flg) PetscFunctionReturn(0);
4581 
4582   /* if a->a are the same */
4583 #if defined(PETSC_USE_COMPLEX)
4584   for (k=0; k<a->nz; k++) {
4585     if (PetscRealPart(a->a[k]) != PetscRealPart(b->a[k]) || PetscImaginaryPart(a->a[k]) != PetscImaginaryPart(b->a[k])) {
4586       *flg = PETSC_FALSE;
4587       PetscFunctionReturn(0);
4588     }
4589   }
4590 #else
4591   ierr = PetscMemcmp(a->a,b->a,(a->nz)*sizeof(PetscScalar),flg);CHKERRQ(ierr);
4592 #endif
4593   PetscFunctionReturn(0);
4594 }
4595 
4596 #undef __FUNCT__
4597 #define __FUNCT__ "MatCreateSeqAIJWithArrays"
4598 /*@
4599      MatCreateSeqAIJWithArrays - Creates an sequential AIJ matrix using matrix elements (in CSR format)
4600               provided by the user.
4601 
4602       Collective on MPI_Comm
4603 
4604    Input Parameters:
4605 +   comm - must be an MPI communicator of size 1
4606 .   m - number of rows
4607 .   n - number of columns
4608 .   i - row indices
4609 .   j - column indices
4610 -   a - matrix values
4611 
4612    Output Parameter:
4613 .   mat - the matrix
4614 
4615    Level: intermediate
4616 
4617    Notes:
4618        The i, j, and a arrays are not copied by this routine, the user must free these arrays
4619     once the matrix is destroyed and not before
4620 
4621        You cannot set new nonzero locations into this matrix, that will generate an error.
4622 
4623        The i and j indices are 0 based
4624 
4625        The format which is used for the sparse matrix input, is equivalent to a
4626     row-major ordering.. i.e for the following matrix, the input data expected is
4627     as shown:
4628 
4629         1 0 0
4630         2 0 3
4631         4 5 6
4632 
4633         i =  {0,1,3,6}  [size = nrow+1  = 3+1]
4634         j =  {0,0,2,0,1,2}  [size = nz = 6]; values must be sorted for each row
4635         v =  {1,2,3,4,5,6}  [size = nz = 6]
4636 
4637 
4638 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateMPIAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4639 
4640 @*/
4641 PetscErrorCode  MatCreateSeqAIJWithArrays(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt *i,PetscInt *j,PetscScalar *a,Mat *mat)
4642 {
4643   PetscErrorCode ierr;
4644   PetscInt       ii;
4645   Mat_SeqAIJ     *aij;
4646 #if defined(PETSC_USE_DEBUG)
4647   PetscInt jj;
4648 #endif
4649 
4650   PetscFunctionBegin;
4651   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
4652   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4653   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4654   /* ierr = MatSetBlockSizes(*mat,,);CHKERRQ(ierr); */
4655   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4656   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
4657   aij  = (Mat_SeqAIJ*)(*mat)->data;
4658   ierr = PetscMalloc2(m,PetscInt,&aij->imax,m,PetscInt,&aij->ilen);CHKERRQ(ierr);
4659 
4660   aij->i            = i;
4661   aij->j            = j;
4662   aij->a            = a;
4663   aij->singlemalloc = PETSC_FALSE;
4664   aij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
4665   aij->free_a       = PETSC_FALSE;
4666   aij->free_ij      = PETSC_FALSE;
4667 
4668   for (ii=0; ii<m; ii++) {
4669     aij->ilen[ii] = aij->imax[ii] = i[ii+1] - i[ii];
4670 #if defined(PETSC_USE_DEBUG)
4671     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]);
4672     for (jj=i[ii]+1; jj<i[ii+1]; jj++) {
4673       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);
4674       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);
4675     }
4676 #endif
4677   }
4678 #if defined(PETSC_USE_DEBUG)
4679   for (ii=0; ii<aij->i[m]; ii++) {
4680     if (j[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %d index = %d",ii,j[ii]);
4681     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]);
4682   }
4683 #endif
4684 
4685   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4686   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4687   PetscFunctionReturn(0);
4688 }
4689 #undef __FUNCT__
4690 #define __FUNCT__ "MatCreateSeqAIJFromTriple"
4691 /*@C
4692      MatCreateSeqAIJFromTriple - Creates an sequential AIJ matrix using matrix elements (in COO format)
4693               provided by the user.
4694 
4695       Collective on MPI_Comm
4696 
4697    Input Parameters:
4698 +   comm - must be an MPI communicator of size 1
4699 .   m   - number of rows
4700 .   n   - number of columns
4701 .   i   - row indices
4702 .   j   - column indices
4703 .   a   - matrix values
4704 .   nz  - number of nonzeros
4705 -   idx - 0 or 1 based
4706 
4707    Output Parameter:
4708 .   mat - the matrix
4709 
4710    Level: intermediate
4711 
4712    Notes:
4713        The i and j indices are 0 based
4714 
4715        The format which is used for the sparse matrix input, is equivalent to a
4716     row-major ordering.. i.e for the following matrix, the input data expected is
4717     as shown:
4718 
4719         1 0 0
4720         2 0 3
4721         4 5 6
4722 
4723         i =  {0,1,1,2,2,2}
4724         j =  {0,0,2,0,1,2}
4725         v =  {1,2,3,4,5,6}
4726 
4727 
4728 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateSeqAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4729 
4730 @*/
4731 PetscErrorCode  MatCreateSeqAIJFromTriple(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt *i,PetscInt *j,PetscScalar *a,Mat *mat,PetscInt nz,PetscBool idx)
4732 {
4733   PetscErrorCode ierr;
4734   PetscInt       ii, *nnz, one = 1,row,col;
4735 
4736 
4737   PetscFunctionBegin;
4738   ierr = PetscMalloc(m*sizeof(PetscInt),&nnz);CHKERRQ(ierr);
4739   ierr = PetscMemzero(nnz,m*sizeof(PetscInt));CHKERRQ(ierr);
4740   for (ii = 0; ii < nz; ii++) {
4741     nnz[i[ii]] += 1;
4742   }
4743   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4744   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4745   /* ierr = MatSetBlockSizes(*mat,,);CHKERRQ(ierr); */
4746   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4747   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,0,nnz);CHKERRQ(ierr);
4748   for (ii = 0; ii < nz; ii++) {
4749     if (idx) {
4750       row = i[ii] - 1;
4751       col = j[ii] - 1;
4752     } else {
4753       row = i[ii];
4754       col = j[ii];
4755     }
4756     ierr = MatSetValues(*mat,one,&row,one,&col,&a[ii],ADD_VALUES);CHKERRQ(ierr);
4757   }
4758   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4759   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4760   ierr = PetscFree(nnz);CHKERRQ(ierr);
4761   PetscFunctionReturn(0);
4762 }
4763 
4764 #undef __FUNCT__
4765 #define __FUNCT__ "MatSetColoring_SeqAIJ"
4766 PetscErrorCode MatSetColoring_SeqAIJ(Mat A,ISColoring coloring)
4767 {
4768   PetscErrorCode ierr;
4769   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
4770 
4771   PetscFunctionBegin;
4772   if (coloring->ctype == IS_COLORING_GLOBAL) {
4773     ierr        = ISColoringReference(coloring);CHKERRQ(ierr);
4774     a->coloring = coloring;
4775   } else if (coloring->ctype == IS_COLORING_GHOSTED) {
4776     PetscInt        i,*larray;
4777     ISColoring      ocoloring;
4778     ISColoringValue *colors;
4779 
4780     /* set coloring for diagonal portion */
4781     ierr = PetscMalloc(A->cmap->n*sizeof(PetscInt),&larray);CHKERRQ(ierr);
4782     for (i=0; i<A->cmap->n; i++) larray[i] = i;
4783     ierr = ISGlobalToLocalMappingApply(A->cmap->mapping,IS_GTOLM_MASK,A->cmap->n,larray,NULL,larray);CHKERRQ(ierr);
4784     ierr = PetscMalloc(A->cmap->n*sizeof(ISColoringValue),&colors);CHKERRQ(ierr);
4785     for (i=0; i<A->cmap->n; i++) colors[i] = coloring->colors[larray[i]];
4786     ierr        = PetscFree(larray);CHKERRQ(ierr);
4787     ierr        = ISColoringCreate(PETSC_COMM_SELF,coloring->n,A->cmap->n,colors,&ocoloring);CHKERRQ(ierr);
4788     a->coloring = ocoloring;
4789   }
4790   PetscFunctionReturn(0);
4791 }
4792 
4793 #undef __FUNCT__
4794 #define __FUNCT__ "MatSetValuesAdifor_SeqAIJ"
4795 PetscErrorCode MatSetValuesAdifor_SeqAIJ(Mat A,PetscInt nl,void *advalues)
4796 {
4797   Mat_SeqAIJ      *a      = (Mat_SeqAIJ*)A->data;
4798   PetscInt        m       = A->rmap->n,*ii = a->i,*jj = a->j,nz,i,j;
4799   MatScalar       *v      = a->a;
4800   PetscScalar     *values = (PetscScalar*)advalues;
4801   ISColoringValue *color;
4802 
4803   PetscFunctionBegin;
4804   if (!a->coloring) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Coloring not set for matrix");
4805   color = a->coloring->colors;
4806   /* loop over rows */
4807   for (i=0; i<m; i++) {
4808     nz = ii[i+1] - ii[i];
4809     /* loop over columns putting computed value into matrix */
4810     for (j=0; j<nz; j++) *v++ = values[color[*jj++]];
4811     values += nl; /* jump to next row of derivatives */
4812   }
4813   PetscFunctionReturn(0);
4814 }
4815 
4816 #undef __FUNCT__
4817 #define __FUNCT__ "MatSeqAIJInvalidateDiagonal"
4818 PetscErrorCode MatSeqAIJInvalidateDiagonal(Mat A)
4819 {
4820   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data;
4821   PetscErrorCode ierr;
4822 
4823   PetscFunctionBegin;
4824   a->idiagvalid  = PETSC_FALSE;
4825   a->ibdiagvalid = PETSC_FALSE;
4826 
4827   ierr = MatSeqAIJInvalidateDiagonal_Inode(A);CHKERRQ(ierr);
4828   PetscFunctionReturn(0);
4829 }
4830 
4831 /*
4832     Special version for direct calls from Fortran
4833 */
4834 #include <petsc-private/fortranimpl.h>
4835 #if defined(PETSC_HAVE_FORTRAN_CAPS)
4836 #define matsetvaluesseqaij_ MATSETVALUESSEQAIJ
4837 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
4838 #define matsetvaluesseqaij_ matsetvaluesseqaij
4839 #endif
4840 
4841 /* Change these macros so can be used in void function */
4842 #undef CHKERRQ
4843 #define CHKERRQ(ierr) CHKERRABORT(PetscObjectComm((PetscObject)A),ierr)
4844 #undef SETERRQ2
4845 #define SETERRQ2(comm,ierr,b,c,d) CHKERRABORT(comm,ierr)
4846 #undef SETERRQ3
4847 #define SETERRQ3(comm,ierr,b,c,d,e) CHKERRABORT(comm,ierr)
4848 
4849 #undef __FUNCT__
4850 #define __FUNCT__ "matsetvaluesseqaij_"
4851 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)
4852 {
4853   Mat            A  = *AA;
4854   PetscInt       m  = *mm, n = *nn;
4855   InsertMode     is = *isis;
4856   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
4857   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
4858   PetscInt       *imax,*ai,*ailen;
4859   PetscErrorCode ierr;
4860   PetscInt       *aj,nonew = a->nonew,lastcol = -1;
4861   MatScalar      *ap,value,*aa;
4862   PetscBool      ignorezeroentries = a->ignorezeroentries;
4863   PetscBool      roworiented       = a->roworiented;
4864 
4865   PetscFunctionBegin;
4866   MatCheckPreallocated(A,1);
4867   imax  = a->imax;
4868   ai    = a->i;
4869   ailen = a->ilen;
4870   aj    = a->j;
4871   aa    = a->a;
4872 
4873   for (k=0; k<m; k++) { /* loop over added rows */
4874     row = im[k];
4875     if (row < 0) continue;
4876 #if defined(PETSC_USE_DEBUG)
4877     if (row >= A->rmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Row too large");
4878 #endif
4879     rp   = aj + ai[row]; ap = aa + ai[row];
4880     rmax = imax[row]; nrow = ailen[row];
4881     low  = 0;
4882     high = nrow;
4883     for (l=0; l<n; l++) { /* loop over added columns */
4884       if (in[l] < 0) continue;
4885 #if defined(PETSC_USE_DEBUG)
4886       if (in[l] >= A->cmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Column too large");
4887 #endif
4888       col = in[l];
4889       if (roworiented) value = v[l + k*n];
4890       else value = v[k + l*m];
4891 
4892       if (value == 0.0 && ignorezeroentries && (is == ADD_VALUES)) continue;
4893 
4894       if (col <= lastcol) low = 0;
4895       else high = nrow;
4896       lastcol = col;
4897       while (high-low > 5) {
4898         t = (low+high)/2;
4899         if (rp[t] > col) high = t;
4900         else             low  = t;
4901       }
4902       for (i=low; i<high; i++) {
4903         if (rp[i] > col) break;
4904         if (rp[i] == col) {
4905           if (is == ADD_VALUES) ap[i] += value;
4906           else                  ap[i] = value;
4907           goto noinsert;
4908         }
4909       }
4910       if (value == 0.0 && ignorezeroentries) goto noinsert;
4911       if (nonew == 1) goto noinsert;
4912       if (nonew == -1) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero in the matrix");
4913       MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
4914       N = nrow++ - 1; a->nz++; high++;
4915       /* shift up all the later entries in this row */
4916       for (ii=N; ii>=i; ii--) {
4917         rp[ii+1] = rp[ii];
4918         ap[ii+1] = ap[ii];
4919       }
4920       rp[i] = col;
4921       ap[i] = value;
4922 noinsert:;
4923       low = i + 1;
4924     }
4925     ailen[row] = nrow;
4926   }
4927   A->same_nonzero = PETSC_FALSE;
4928   PetscFunctionReturnVoid();
4929 }
4930 
4931 
4932