xref: /petsc/src/mat/impls/aij/seq/aij.c (revision 91b52c68ec4607a30b0a0bee63b78977e8e5e5ff)
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,start,end,l,row,col,**vscaleforrow;
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   PetscInt       ctype   = coloring->ctype,N,col_start=0,col_end=0;
2735   Vec            x1_tmp;
2736   Mat_SeqAIJ     *csp = (Mat_SeqAIJ*)J->data;
2737   PetscInt       *den2sp=coloring->den2sp,*idx=den2sp;
2738   PetscScalar    *ca=csp->a;
2739   const PetscInt ncolors=coloring->ncolors,*ncolumns=coloring->ncolumns,*nrows=coloring->nrows;
2740   PetscInt       **rows=coloring->rows,**columns=coloring->columns,ncolumns_k,nrows_k;
2741 #if defined(JACOBIANCOLOROPT)
2742   PetscLogDouble t0,t1,time_setvalues=0.0;
2743 #endif
2744 
2745   PetscFunctionBegin;
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   x1_tmp = x1;
2759   if (!coloring->vscale) {
2760     ierr = VecDuplicate(x1_tmp,&coloring->vscale);CHKERRQ(ierr);
2761   }
2762 
2763   if (coloring->htype[0] == 'w') { /* tacky test; need to make systematic if we add other approaches to computing h*/
2764     ierr = VecNorm(x1_tmp,NORM_2,&unorm);CHKERRQ(ierr);
2765   }
2766   ierr = VecGetOwnershipRange(w1,&start,&end);CHKERRQ(ierr); /* OwnershipRange is used by ghosted x! */
2767 
2768   /* Set w1 = F(x1) */
2769   if (!coloring->fset) {
2770     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2771     ierr = (*f)(sctx,x1_tmp,w1,fctx);CHKERRQ(ierr);
2772     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2773   } else {
2774     coloring->fset = PETSC_FALSE;
2775   }
2776 
2777   if (!coloring->w3) {
2778     ierr = VecDuplicate(x1_tmp,&coloring->w3);CHKERRQ(ierr);
2779     ierr = PetscLogObjectParent((PetscObject)coloring,(PetscObject)coloring->w3);CHKERRQ(ierr);
2780   }
2781   w3 = coloring->w3;
2782 
2783   /* Compute all the local scale factors, including ghost points */
2784   ierr = VecGetLocalSize(x1_tmp,&N);CHKERRQ(ierr);
2785   ierr = VecGetArray(x1_tmp,&xx);CHKERRQ(ierr);
2786   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2787   if (ctype == IS_COLORING_GHOSTED) {
2788     col_start = 0; col_end = N;
2789   } else if (ctype == IS_COLORING_GLOBAL) {
2790     xx           = xx - start;
2791     vscale_array = vscale_array - start;
2792     col_start    = start; col_end = N + start;
2793   }
2794   for (col=col_start; col<col_end; col++) {
2795     /* Loop over each local column, vscale[col] = 1./(epsilon*dx[col]) */
2796     if (coloring->htype[0] == 'w') {
2797       dx = 1.0 + unorm;
2798     } else {
2799       dx = xx[col];
2800     }
2801     if (dx == (PetscScalar)0.0) dx = 1.0;
2802     if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2803     else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2804     dx               *= epsilon;
2805     vscale_array[col] = (PetscScalar)1.0/dx;
2806   }
2807   if (ctype == IS_COLORING_GLOBAL) vscale_array = vscale_array + start;
2808   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2809   if (ctype == IS_COLORING_GLOBAL) {
2810     ierr = VecGhostUpdateBegin(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2811     ierr = VecGhostUpdateEnd(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2812   }
2813 
2814   if (coloring->vscaleforrow) {
2815     vscaleforrow = coloring->vscaleforrow;
2816   } else SETERRQ(PetscObjectComm((PetscObject)J),PETSC_ERR_ARG_NULL,"Null Object: coloring->vscaleforrow");
2817 
2818   /*
2819     Loop over each color
2820   */
2821   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2822   for (k=0; k<ncolors; k++) { /* loop over colors */
2823     coloring->currentcolor = k;
2824 
2825     ierr = VecCopy(x1_tmp,w3);CHKERRQ(ierr);
2826     ierr = VecGetArray(w3,&w3_array);CHKERRQ(ierr);
2827     if (ctype == IS_COLORING_GLOBAL) w3_array = w3_array - start;
2828     /*
2829       Loop over each column associated with color
2830       adding the perturbation to the vector w3.
2831     */
2832     ncolumns_k = ncolumns[k];
2833     for (l=0; l<ncolumns_k; l++) { /* loop over columns */
2834       col = columns[k][l];    /* local column of the matrix we are probing for */
2835       if (coloring->htype[0] == 'w') {
2836         dx = 1.0 + unorm;
2837       } else {
2838         dx = xx[col];
2839       }
2840       if (dx == (PetscScalar)0.0) dx = 1.0;
2841       if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2842       else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2843       dx            *= epsilon;
2844       if (!PetscAbsScalar(dx)) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Computed 0 differencing parameter");
2845       w3_array[col] += dx;
2846     }
2847     if (ctype == IS_COLORING_GLOBAL) w3_array = w3_array + start;
2848     ierr = VecRestoreArray(w3,&w3_array);CHKERRQ(ierr);
2849 
2850     /*
2851       Evaluate function at w3 = x1 + dx (here dx is a vector of perturbations)
2852                            w2 = F(x1 + dx) - F(x1)
2853     */
2854     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2855     ierr = (*f)(sctx,w3,w2,fctx);CHKERRQ(ierr);
2856     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2857     ierr = VecAXPY(w2,-1.0,w1);CHKERRQ(ierr);
2858 
2859     /*
2860       Loop over rows of vector, putting results into Jacobian matrix
2861     */
2862 #if defined(JACOBIANCOLOROPT)
2863     ierr = PetscTime(&t0);CHKERRQ(ierr);
2864 #endif
2865     ierr = VecGetArray(w2,&y);CHKERRQ(ierr);
2866     nrows_k = nrows[k];
2867     for (l=0; l<nrows_k; l++) { /* loop over rows */
2868       row     = rows[k][l]; /* local row index */
2869       y[row] *= vscale_array[vscaleforrow[k][l]];
2870       ca[idx[l]] = y[row];
2871     }
2872     idx += nrows_k;
2873     ierr = VecRestoreArray(w2,&y);CHKERRQ(ierr);
2874 #if defined(JACOBIANCOLOROPT)
2875     ierr = PetscTime(&t1);CHKERRQ(ierr);
2876     time_setvalues += t1-t0;
2877 #endif
2878   } /* endof for each color */
2879 #if defined(JACOBIANCOLOROPT)
2880   printf("     MatFDColoringApply_SeqAIJ: time_setvalues %g\n",time_setvalues);
2881 #endif
2882   if (ctype == IS_COLORING_GLOBAL) xx = xx + start;
2883   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2884   ierr = VecRestoreArray(x1_tmp,&xx);CHKERRQ(ierr);
2885 
2886   coloring->currentcolor = -1;
2887   PetscFunctionReturn(0);
2888 }
2889 /* --------------------------------------------------------*/
2890 
2891 #undef __FUNCT__
2892 #define __FUNCT__ "MatFDColoringApply_SeqAIJ_old"
2893 PetscErrorCode MatFDColoringApply_SeqAIJ_old(Mat J,MatFDColoring coloring,Vec x1,MatStructure *flag,void *sctx)
2894 {
2895   PetscErrorCode (*f)(void*,Vec,Vec,void*) = (PetscErrorCode (*)(void*,Vec,Vec,void*))coloring->f;
2896   PetscErrorCode ierr;
2897   PetscInt       k,N,start,end,l,row,col,srow,**vscaleforrow;
2898   PetscScalar    dx,*y,*xx,*w3_array;
2899   PetscScalar    *vscale_array;
2900   PetscReal      epsilon = coloring->error_rel,umin = coloring->umin;
2901   Vec            w1,w2,w3;
2902   void           *fctx = coloring->fctx;
2903   PetscBool      flg   = PETSC_FALSE;
2904 
2905   PetscFunctionBegin;
2906   printf("MatFDColoringApply_SeqAIJ ...\n");
2907   if (!coloring->w1) {
2908     ierr = VecDuplicate(x1,&coloring->w1);CHKERRQ(ierr);
2909     ierr = PetscLogObjectParent((PetscObject)coloring,(PetscObject)coloring->w1);CHKERRQ(ierr);
2910     ierr = VecDuplicate(x1,&coloring->w2);CHKERRQ(ierr);
2911     ierr = PetscLogObjectParent((PetscObject)coloring,(PetscObject)coloring->w2);CHKERRQ(ierr);
2912     ierr = VecDuplicate(x1,&coloring->w3);CHKERRQ(ierr);
2913     ierr = PetscLogObjectParent((PetscObject)coloring,(PetscObject)coloring->w3);CHKERRQ(ierr);
2914   }
2915   w1 = coloring->w1; w2 = coloring->w2; w3 = coloring->w3;
2916 
2917   ierr = MatSetUnfactored(J);CHKERRQ(ierr);
2918   ierr = PetscOptionsGetBool(((PetscObject)coloring)->prefix,"-mat_fd_coloring_dont_rezero",&flg,NULL);CHKERRQ(ierr);
2919   if (flg) {
2920     ierr = PetscInfo(coloring,"Not calling MatZeroEntries()\n");CHKERRQ(ierr);
2921   } else {
2922     PetscBool assembled;
2923     ierr = MatAssembled(J,&assembled);CHKERRQ(ierr);
2924     if (assembled) {
2925       ierr = MatZeroEntries(J);CHKERRQ(ierr);
2926     }
2927   }
2928 
2929   ierr = VecGetOwnershipRange(x1,&start,&end);CHKERRQ(ierr);
2930   ierr = VecGetSize(x1,&N);CHKERRQ(ierr);
2931 
2932   if (!coloring->fset) {
2933     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2934     ierr = (*f)(sctx,x1,w1,fctx);CHKERRQ(ierr);
2935     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2936   } else {
2937     coloring->fset = PETSC_FALSE;
2938   }
2939 
2940   /*
2941       Compute all the scale factors and share with other processors
2942   */
2943   ierr = VecGetArray(x1,&xx);CHKERRQ(ierr);xx = xx - start;
2944   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);vscale_array = vscale_array - start;
2945   for (k=0; k<coloring->ncolors; k++) {
2946     /*
2947        Loop over each column associated with color adding the
2948        perturbation to the vector w3.
2949     */
2950     for (l=0; l<coloring->ncolumns[k]; l++) {
2951       col = coloring->columns[k][l];    /* column of the matrix we are probing for */
2952       dx  = xx[col];
2953       if (dx == 0.0) dx = 1.0;
2954       if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2955       else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2956       dx               *= epsilon;
2957       vscale_array[col] = 1.0/dx;
2958     }
2959   }
2960   vscale_array = vscale_array + start;
2961 
2962   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2963   ierr = VecGhostUpdateBegin(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2964   ierr = VecGhostUpdateEnd(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2965 
2966   /*  ierr = VecView(coloring->vscale,PETSC_VIEWER_STDOUT_WORLD);
2967       ierr = VecView(x1,PETSC_VIEWER_STDOUT_WORLD);*/
2968 
2969   if (coloring->vscaleforrow) vscaleforrow = coloring->vscaleforrow;
2970   else                        vscaleforrow = coloring->columnsforrow;
2971 
2972   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2973   /*
2974       Loop over each color
2975   */
2976   for (k=0; k<coloring->ncolors; k++) {
2977     coloring->currentcolor = k;
2978 
2979     ierr = VecCopy(x1,w3);CHKERRQ(ierr);
2980     ierr = VecGetArray(w3,&w3_array);CHKERRQ(ierr);w3_array = w3_array - start;
2981     /*
2982        Loop over each column associated with color adding the
2983        perturbation to the vector w3.
2984     */
2985     for (l=0; l<coloring->ncolumns[k]; l++) {
2986       col = coloring->columns[k][l];    /* column of the matrix we are probing for */
2987       dx  = xx[col];
2988       if (dx == 0.0) dx = 1.0;
2989       if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2990       else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2991       dx *= epsilon;
2992       if (!PetscAbsScalar(dx)) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Computed 0 differencing parameter");
2993       w3_array[col] += dx;
2994     }
2995     w3_array = w3_array + start; ierr = VecRestoreArray(w3,&w3_array);CHKERRQ(ierr);
2996 
2997     /*
2998        Evaluate function at x1 + dx (here dx is a vector of perturbations)
2999     */
3000 
3001     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
3002     ierr = (*f)(sctx,w3,w2,fctx);CHKERRQ(ierr);
3003     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
3004     ierr = VecAXPY(w2,-1.0,w1);CHKERRQ(ierr);
3005 
3006     /*
3007        Loop over rows of vector, putting results into Jacobian matrix
3008     */
3009     ierr = VecGetArray(w2,&y);CHKERRQ(ierr);
3010     for (l=0; l<coloring->nrows[k]; l++) {
3011       row     = coloring->rows[k][l];
3012       col     = coloring->columnsforrow[k][l];
3013       y[row] *= vscale_array[vscaleforrow[k][l]];
3014       srow    = row + start;
3015       ierr    = MatSetValues_SeqAIJ(J,1,&srow,1,&col,y+row,INSERT_VALUES);CHKERRQ(ierr);
3016     }
3017     ierr = VecRestoreArray(w2,&y);CHKERRQ(ierr);
3018   }
3019   coloring->currentcolor = k;
3020 
3021   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
3022   xx   = xx + start;
3023   ierr = VecRestoreArray(x1,&xx);CHKERRQ(ierr);
3024   ierr = MatAssemblyBegin(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3025   ierr = MatAssemblyEnd(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3026   PetscFunctionReturn(0);
3027 }
3028 
3029 /*
3030    Computes the number of nonzeros per row needed for preallocation when X and Y
3031    have different nonzero structure.
3032 */
3033 #undef __FUNCT__
3034 #define __FUNCT__ "MatAXPYGetPreallocation_SeqAIJ"
3035 PetscErrorCode MatAXPYGetPreallocation_SeqAIJ(Mat Y,Mat X,PetscInt *nnz)
3036 {
3037   PetscInt       i,m=Y->rmap->N;
3038   Mat_SeqAIJ     *x  = (Mat_SeqAIJ*)X->data;
3039   Mat_SeqAIJ     *y  = (Mat_SeqAIJ*)Y->data;
3040   const PetscInt *xi = x->i,*yi = y->i;
3041 
3042   PetscFunctionBegin;
3043   /* Set the number of nonzeros in the new matrix */
3044   for (i=0; i<m; i++) {
3045     PetscInt       j,k,nzx = xi[i+1] - xi[i],nzy = yi[i+1] - yi[i];
3046     const PetscInt *xj = x->j+xi[i],*yj = y->j+yi[i];
3047     nnz[i] = 0;
3048     for (j=0,k=0; j<nzx; j++) {                   /* Point in X */
3049       for (; k<nzy && yj[k]<xj[j]; k++) nnz[i]++; /* Catch up to X */
3050       if (k<nzy && yj[k]==xj[j]) k++;             /* Skip duplicate */
3051       nnz[i]++;
3052     }
3053     for (; k<nzy; k++) nnz[i]++;
3054   }
3055   PetscFunctionReturn(0);
3056 }
3057 
3058 #undef __FUNCT__
3059 #define __FUNCT__ "MatAXPY_SeqAIJ"
3060 PetscErrorCode MatAXPY_SeqAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
3061 {
3062   PetscErrorCode ierr;
3063   PetscInt       i;
3064   Mat_SeqAIJ     *x = (Mat_SeqAIJ*)X->data,*y = (Mat_SeqAIJ*)Y->data;
3065   PetscBLASInt   one=1,bnz;
3066 
3067   PetscFunctionBegin;
3068   ierr = PetscBLASIntCast(x->nz,&bnz);CHKERRQ(ierr);
3069   if (str == SAME_NONZERO_PATTERN) {
3070     PetscScalar alpha = a;
3071     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
3072     ierr = MatSeqAIJInvalidateDiagonal(Y);CHKERRQ(ierr);
3073   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
3074     if (y->xtoy && y->XtoY != X) {
3075       ierr = PetscFree(y->xtoy);CHKERRQ(ierr);
3076       ierr = MatDestroy(&y->XtoY);CHKERRQ(ierr);
3077     }
3078     if (!y->xtoy) { /* get xtoy */
3079       ierr    = MatAXPYGetxtoy_Private(X->rmap->n,x->i,x->j,NULL, y->i,y->j,NULL, &y->xtoy);CHKERRQ(ierr);
3080       y->XtoY = X;
3081       ierr    = PetscObjectReference((PetscObject)X);CHKERRQ(ierr);
3082     }
3083     for (i=0; i<x->nz; i++) y->a[y->xtoy[i]] += a*(x->a[i]);
3084     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);
3085   } else {
3086     Mat      B;
3087     PetscInt *nnz;
3088     ierr = PetscMalloc(Y->rmap->N*sizeof(PetscInt),&nnz);CHKERRQ(ierr);
3089     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
3090     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
3091     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
3092     ierr = MatSetBlockSizes(B,Y->rmap->bs,Y->cmap->bs);CHKERRQ(ierr);
3093     ierr = MatSetType(B,(MatType) ((PetscObject)Y)->type_name);CHKERRQ(ierr);
3094     ierr = MatAXPYGetPreallocation_SeqAIJ(Y,X,nnz);CHKERRQ(ierr);
3095     ierr = MatSeqAIJSetPreallocation(B,0,nnz);CHKERRQ(ierr);
3096     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
3097     ierr = MatHeaderReplace(Y,B);CHKERRQ(ierr);
3098     ierr = PetscFree(nnz);CHKERRQ(ierr);
3099   }
3100   PetscFunctionReturn(0);
3101 }
3102 
3103 #undef __FUNCT__
3104 #define __FUNCT__ "MatConjugate_SeqAIJ"
3105 PetscErrorCode  MatConjugate_SeqAIJ(Mat mat)
3106 {
3107 #if defined(PETSC_USE_COMPLEX)
3108   Mat_SeqAIJ  *aij = (Mat_SeqAIJ*)mat->data;
3109   PetscInt    i,nz;
3110   PetscScalar *a;
3111 
3112   PetscFunctionBegin;
3113   nz = aij->nz;
3114   a  = aij->a;
3115   for (i=0; i<nz; i++) a[i] = PetscConj(a[i]);
3116 #else
3117   PetscFunctionBegin;
3118 #endif
3119   PetscFunctionReturn(0);
3120 }
3121 
3122 #undef __FUNCT__
3123 #define __FUNCT__ "MatGetRowMaxAbs_SeqAIJ"
3124 PetscErrorCode MatGetRowMaxAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
3125 {
3126   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3127   PetscErrorCode ierr;
3128   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
3129   PetscReal      atmp;
3130   PetscScalar    *x;
3131   MatScalar      *aa;
3132 
3133   PetscFunctionBegin;
3134   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3135   aa = a->a;
3136   ai = a->i;
3137   aj = a->j;
3138 
3139   ierr = VecSet(v,0.0);CHKERRQ(ierr);
3140   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
3141   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
3142   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
3143   for (i=0; i<m; i++) {
3144     ncols = ai[1] - ai[0]; ai++;
3145     x[i]  = 0.0;
3146     for (j=0; j<ncols; j++) {
3147       atmp = PetscAbsScalar(*aa);
3148       if (PetscAbsScalar(x[i]) < atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
3149       aa++; aj++;
3150     }
3151   }
3152   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
3153   PetscFunctionReturn(0);
3154 }
3155 
3156 #undef __FUNCT__
3157 #define __FUNCT__ "MatGetRowMax_SeqAIJ"
3158 PetscErrorCode MatGetRowMax_SeqAIJ(Mat A,Vec v,PetscInt idx[])
3159 {
3160   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3161   PetscErrorCode ierr;
3162   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
3163   PetscScalar    *x;
3164   MatScalar      *aa;
3165 
3166   PetscFunctionBegin;
3167   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3168   aa = a->a;
3169   ai = a->i;
3170   aj = a->j;
3171 
3172   ierr = VecSet(v,0.0);CHKERRQ(ierr);
3173   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
3174   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
3175   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
3176   for (i=0; i<m; i++) {
3177     ncols = ai[1] - ai[0]; ai++;
3178     if (ncols == A->cmap->n) { /* row is dense */
3179       x[i] = *aa; if (idx) idx[i] = 0;
3180     } else {  /* row is sparse so already KNOW maximum is 0.0 or higher */
3181       x[i] = 0.0;
3182       if (idx) {
3183         idx[i] = 0; /* in case ncols is zero */
3184         for (j=0;j<ncols;j++) { /* find first implicit 0.0 in the row */
3185           if (aj[j] > j) {
3186             idx[i] = j;
3187             break;
3188           }
3189         }
3190       }
3191     }
3192     for (j=0; j<ncols; j++) {
3193       if (PetscRealPart(x[i]) < PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
3194       aa++; aj++;
3195     }
3196   }
3197   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
3198   PetscFunctionReturn(0);
3199 }
3200 
3201 #undef __FUNCT__
3202 #define __FUNCT__ "MatGetRowMinAbs_SeqAIJ"
3203 PetscErrorCode MatGetRowMinAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
3204 {
3205   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3206   PetscErrorCode ierr;
3207   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
3208   PetscReal      atmp;
3209   PetscScalar    *x;
3210   MatScalar      *aa;
3211 
3212   PetscFunctionBegin;
3213   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3214   aa = a->a;
3215   ai = a->i;
3216   aj = a->j;
3217 
3218   ierr = VecSet(v,0.0);CHKERRQ(ierr);
3219   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
3220   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
3221   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);
3222   for (i=0; i<m; i++) {
3223     ncols = ai[1] - ai[0]; ai++;
3224     if (ncols) {
3225       /* Get first nonzero */
3226       for (j = 0; j < ncols; j++) {
3227         atmp = PetscAbsScalar(aa[j]);
3228         if (atmp > 1.0e-12) {
3229           x[i] = atmp;
3230           if (idx) idx[i] = aj[j];
3231           break;
3232         }
3233       }
3234       if (j == ncols) {x[i] = PetscAbsScalar(*aa); if (idx) idx[i] = *aj;}
3235     } else {
3236       x[i] = 0.0; if (idx) idx[i] = 0;
3237     }
3238     for (j = 0; j < ncols; j++) {
3239       atmp = PetscAbsScalar(*aa);
3240       if (atmp > 1.0e-12 && PetscAbsScalar(x[i]) > atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
3241       aa++; aj++;
3242     }
3243   }
3244   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
3245   PetscFunctionReturn(0);
3246 }
3247 
3248 #undef __FUNCT__
3249 #define __FUNCT__ "MatGetRowMin_SeqAIJ"
3250 PetscErrorCode MatGetRowMin_SeqAIJ(Mat A,Vec v,PetscInt idx[])
3251 {
3252   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3253   PetscErrorCode ierr;
3254   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
3255   PetscScalar    *x;
3256   MatScalar      *aa;
3257 
3258   PetscFunctionBegin;
3259   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3260   aa = a->a;
3261   ai = a->i;
3262   aj = a->j;
3263 
3264   ierr = VecSet(v,0.0);CHKERRQ(ierr);
3265   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
3266   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
3267   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
3268   for (i=0; i<m; i++) {
3269     ncols = ai[1] - ai[0]; ai++;
3270     if (ncols == A->cmap->n) { /* row is dense */
3271       x[i] = *aa; if (idx) idx[i] = 0;
3272     } else {  /* row is sparse so already KNOW minimum is 0.0 or lower */
3273       x[i] = 0.0;
3274       if (idx) {   /* find first implicit 0.0 in the row */
3275         idx[i] = 0; /* in case ncols is zero */
3276         for (j=0; j<ncols; j++) {
3277           if (aj[j] > j) {
3278             idx[i] = j;
3279             break;
3280           }
3281         }
3282       }
3283     }
3284     for (j=0; j<ncols; j++) {
3285       if (PetscRealPart(x[i]) > PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
3286       aa++; aj++;
3287     }
3288   }
3289   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
3290   PetscFunctionReturn(0);
3291 }
3292 
3293 #include <petscblaslapack.h>
3294 #include <petsc-private/kernels/blockinvert.h>
3295 
3296 #undef __FUNCT__
3297 #define __FUNCT__ "MatInvertBlockDiagonal_SeqAIJ"
3298 PetscErrorCode  MatInvertBlockDiagonal_SeqAIJ(Mat A,const PetscScalar **values)
3299 {
3300   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
3301   PetscErrorCode ierr;
3302   PetscInt       i,bs = A->rmap->bs,mbs = A->rmap->n/A->rmap->bs,ipvt[5],bs2 = bs*bs,*v_pivots,ij[7],*IJ,j;
3303   MatScalar      *diag,work[25],*v_work;
3304   PetscReal      shift = 0.0;
3305 
3306   PetscFunctionBegin;
3307   if (a->ibdiagvalid) {
3308     if (values) *values = a->ibdiag;
3309     PetscFunctionReturn(0);
3310   }
3311   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
3312   if (!a->ibdiag) {
3313     ierr = PetscMalloc(bs2*mbs*sizeof(PetscScalar),&a->ibdiag);CHKERRQ(ierr);
3314     ierr = PetscLogObjectMemory((PetscObject)A,bs2*mbs*sizeof(PetscScalar));CHKERRQ(ierr);
3315   }
3316   diag = a->ibdiag;
3317   if (values) *values = a->ibdiag;
3318   /* factor and invert each block */
3319   switch (bs) {
3320   case 1:
3321     for (i=0; i<mbs; i++) {
3322       ierr    = MatGetValues(A,1,&i,1,&i,diag+i);CHKERRQ(ierr);
3323       diag[i] = (PetscScalar)1.0 / (diag[i] + shift);
3324     }
3325     break;
3326   case 2:
3327     for (i=0; i<mbs; i++) {
3328       ij[0] = 2*i; ij[1] = 2*i + 1;
3329       ierr  = MatGetValues(A,2,ij,2,ij,diag);CHKERRQ(ierr);
3330       ierr  = PetscKernel_A_gets_inverse_A_2(diag,shift);CHKERRQ(ierr);
3331       ierr  = PetscKernel_A_gets_transpose_A_2(diag);CHKERRQ(ierr);
3332       diag += 4;
3333     }
3334     break;
3335   case 3:
3336     for (i=0; i<mbs; i++) {
3337       ij[0] = 3*i; ij[1] = 3*i + 1; ij[2] = 3*i + 2;
3338       ierr  = MatGetValues(A,3,ij,3,ij,diag);CHKERRQ(ierr);
3339       ierr  = PetscKernel_A_gets_inverse_A_3(diag,shift);CHKERRQ(ierr);
3340       ierr  = PetscKernel_A_gets_transpose_A_3(diag);CHKERRQ(ierr);
3341       diag += 9;
3342     }
3343     break;
3344   case 4:
3345     for (i=0; i<mbs; i++) {
3346       ij[0] = 4*i; ij[1] = 4*i + 1; ij[2] = 4*i + 2; ij[3] = 4*i + 3;
3347       ierr  = MatGetValues(A,4,ij,4,ij,diag);CHKERRQ(ierr);
3348       ierr  = PetscKernel_A_gets_inverse_A_4(diag,shift);CHKERRQ(ierr);
3349       ierr  = PetscKernel_A_gets_transpose_A_4(diag);CHKERRQ(ierr);
3350       diag += 16;
3351     }
3352     break;
3353   case 5:
3354     for (i=0; i<mbs; i++) {
3355       ij[0] = 5*i; ij[1] = 5*i + 1; ij[2] = 5*i + 2; ij[3] = 5*i + 3; ij[4] = 5*i + 4;
3356       ierr  = MatGetValues(A,5,ij,5,ij,diag);CHKERRQ(ierr);
3357       ierr  = PetscKernel_A_gets_inverse_A_5(diag,ipvt,work,shift);CHKERRQ(ierr);
3358       ierr  = PetscKernel_A_gets_transpose_A_5(diag);CHKERRQ(ierr);
3359       diag += 25;
3360     }
3361     break;
3362   case 6:
3363     for (i=0; i<mbs; i++) {
3364       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;
3365       ierr  = MatGetValues(A,6,ij,6,ij,diag);CHKERRQ(ierr);
3366       ierr  = PetscKernel_A_gets_inverse_A_6(diag,shift);CHKERRQ(ierr);
3367       ierr  = PetscKernel_A_gets_transpose_A_6(diag);CHKERRQ(ierr);
3368       diag += 36;
3369     }
3370     break;
3371   case 7:
3372     for (i=0; i<mbs; i++) {
3373       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;
3374       ierr  = MatGetValues(A,7,ij,7,ij,diag);CHKERRQ(ierr);
3375       ierr  = PetscKernel_A_gets_inverse_A_7(diag,shift);CHKERRQ(ierr);
3376       ierr  = PetscKernel_A_gets_transpose_A_7(diag);CHKERRQ(ierr);
3377       diag += 49;
3378     }
3379     break;
3380   default:
3381     ierr = PetscMalloc3(bs,MatScalar,&v_work,bs,PetscInt,&v_pivots,bs,PetscInt,&IJ);CHKERRQ(ierr);
3382     for (i=0; i<mbs; i++) {
3383       for (j=0; j<bs; j++) {
3384         IJ[j] = bs*i + j;
3385       }
3386       ierr  = MatGetValues(A,bs,IJ,bs,IJ,diag);CHKERRQ(ierr);
3387       ierr  = PetscKernel_A_gets_inverse_A(bs,diag,v_pivots,v_work);CHKERRQ(ierr);
3388       ierr  = PetscKernel_A_gets_transpose_A_N(diag,bs);CHKERRQ(ierr);
3389       diag += bs2;
3390     }
3391     ierr = PetscFree3(v_work,v_pivots,IJ);CHKERRQ(ierr);
3392   }
3393   a->ibdiagvalid = PETSC_TRUE;
3394   PetscFunctionReturn(0);
3395 }
3396 
3397 #undef __FUNCT__
3398 #define __FUNCT__ "MatSetRandom_SeqAIJ"
3399 static PetscErrorCode  MatSetRandom_SeqAIJ(Mat x,PetscRandom rctx)
3400 {
3401   PetscErrorCode ierr;
3402   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)x->data;
3403   PetscScalar    a;
3404   PetscInt       m,n,i,j,col;
3405 
3406   PetscFunctionBegin;
3407   if (!x->assembled) {
3408     ierr = MatGetSize(x,&m,&n);CHKERRQ(ierr);
3409     for (i=0; i<m; i++) {
3410       for (j=0; j<aij->imax[i]; j++) {
3411         ierr = PetscRandomGetValue(rctx,&a);CHKERRQ(ierr);
3412         col  = (PetscInt)(n*PetscRealPart(a));
3413         ierr = MatSetValues(x,1,&i,1,&col,&a,ADD_VALUES);CHKERRQ(ierr);
3414       }
3415     }
3416   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet coded");
3417   ierr = MatAssemblyBegin(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3418   ierr = MatAssemblyEnd(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3419   PetscFunctionReturn(0);
3420 }
3421 
3422 extern PetscErrorCode  MatFDColoringApply_AIJ(Mat,MatFDColoring,Vec,MatStructure*,void*);
3423 /* -------------------------------------------------------------------*/
3424 static struct _MatOps MatOps_Values = { MatSetValues_SeqAIJ,
3425                                         MatGetRow_SeqAIJ,
3426                                         MatRestoreRow_SeqAIJ,
3427                                         MatMult_SeqAIJ,
3428                                 /*  4*/ MatMultAdd_SeqAIJ,
3429                                         MatMultTranspose_SeqAIJ,
3430                                         MatMultTransposeAdd_SeqAIJ,
3431                                         0,
3432                                         0,
3433                                         0,
3434                                 /* 10*/ 0,
3435                                         MatLUFactor_SeqAIJ,
3436                                         0,
3437                                         MatSOR_SeqAIJ,
3438                                         MatTranspose_SeqAIJ,
3439                                 /*1 5*/ MatGetInfo_SeqAIJ,
3440                                         MatEqual_SeqAIJ,
3441                                         MatGetDiagonal_SeqAIJ,
3442                                         MatDiagonalScale_SeqAIJ,
3443                                         MatNorm_SeqAIJ,
3444                                 /* 20*/ 0,
3445                                         MatAssemblyEnd_SeqAIJ,
3446                                         MatSetOption_SeqAIJ,
3447                                         MatZeroEntries_SeqAIJ,
3448                                 /* 24*/ MatZeroRows_SeqAIJ,
3449                                         0,
3450                                         0,
3451                                         0,
3452                                         0,
3453                                 /* 29*/ MatSetUp_SeqAIJ,
3454                                         0,
3455                                         0,
3456                                         0,
3457                                         0,
3458                                 /* 34*/ MatDuplicate_SeqAIJ,
3459                                         0,
3460                                         0,
3461                                         MatILUFactor_SeqAIJ,
3462                                         0,
3463                                 /* 39*/ MatAXPY_SeqAIJ,
3464                                         MatGetSubMatrices_SeqAIJ,
3465                                         MatIncreaseOverlap_SeqAIJ,
3466                                         MatGetValues_SeqAIJ,
3467                                         MatCopy_SeqAIJ,
3468                                 /* 44*/ MatGetRowMax_SeqAIJ,
3469                                         MatScale_SeqAIJ,
3470                                         0,
3471                                         MatDiagonalSet_SeqAIJ,
3472                                         MatZeroRowsColumns_SeqAIJ,
3473                                 /* 49*/ MatSetRandom_SeqAIJ,
3474                                         MatGetRowIJ_SeqAIJ,
3475                                         MatRestoreRowIJ_SeqAIJ,
3476                                         MatGetColumnIJ_SeqAIJ,
3477                                         MatRestoreColumnIJ_SeqAIJ,
3478                                 /* 54*/ MatFDColoringCreate_SeqAIJ,
3479                                         0,
3480                                         0,
3481                                         MatPermute_SeqAIJ,
3482                                         0,
3483                                 /* 59*/ 0,
3484                                         MatDestroy_SeqAIJ,
3485                                         MatView_SeqAIJ,
3486                                         0,
3487                                         MatMatMatMult_SeqAIJ_SeqAIJ_SeqAIJ,
3488                                 /* 64*/ MatMatMatMultSymbolic_SeqAIJ_SeqAIJ_SeqAIJ,
3489                                         MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqAIJ,
3490                                         0,
3491                                         0,
3492                                         0,
3493                                 /* 69*/ MatGetRowMaxAbs_SeqAIJ,
3494                                         MatGetRowMinAbs_SeqAIJ,
3495                                         0,
3496                                         MatSetColoring_SeqAIJ,
3497                                         0,
3498                                 /* 74*/ MatSetValuesAdifor_SeqAIJ,
3499                                         MatFDColoringApply_AIJ,
3500                                         0,
3501                                         0,
3502                                         0,
3503                                 /* 79*/ MatFindZeroDiagonals_SeqAIJ,
3504                                         0,
3505                                         0,
3506                                         0,
3507                                         MatLoad_SeqAIJ,
3508                                 /* 84*/ MatIsSymmetric_SeqAIJ,
3509                                         MatIsHermitian_SeqAIJ,
3510                                         0,
3511                                         0,
3512                                         0,
3513                                 /* 89*/ MatMatMult_SeqAIJ_SeqAIJ,
3514                                         MatMatMultSymbolic_SeqAIJ_SeqAIJ,
3515                                         MatMatMultNumeric_SeqAIJ_SeqAIJ,
3516                                         MatPtAP_SeqAIJ_SeqAIJ,
3517                                         MatPtAPSymbolic_SeqAIJ_SeqAIJ_DenseAxpy,
3518                                 /* 94*/ MatPtAPNumeric_SeqAIJ_SeqAIJ,
3519                                         MatMatTransposeMult_SeqAIJ_SeqAIJ,
3520                                         MatMatTransposeMultSymbolic_SeqAIJ_SeqAIJ,
3521                                         MatMatTransposeMultNumeric_SeqAIJ_SeqAIJ,
3522                                         0,
3523                                 /* 99*/ 0,
3524                                         0,
3525                                         0,
3526                                         MatConjugate_SeqAIJ,
3527                                         0,
3528                                 /*104*/ MatSetValuesRow_SeqAIJ,
3529                                         MatRealPart_SeqAIJ,
3530                                         MatImaginaryPart_SeqAIJ,
3531                                         0,
3532                                         0,
3533                                 /*109*/ MatMatSolve_SeqAIJ,
3534                                         0,
3535                                         MatGetRowMin_SeqAIJ,
3536                                         0,
3537                                         MatMissingDiagonal_SeqAIJ,
3538                                 /*114*/ 0,
3539                                         0,
3540                                         0,
3541                                         0,
3542                                         0,
3543                                 /*119*/ 0,
3544                                         0,
3545                                         0,
3546                                         0,
3547                                         MatGetMultiProcBlock_SeqAIJ,
3548                                 /*124*/ MatFindNonzeroRows_SeqAIJ,
3549                                         MatGetColumnNorms_SeqAIJ,
3550                                         MatInvertBlockDiagonal_SeqAIJ,
3551                                         0,
3552                                         0,
3553                                 /*129*/ 0,
3554                                         MatTransposeMatMult_SeqAIJ_SeqAIJ,
3555                                         MatTransposeMatMultSymbolic_SeqAIJ_SeqAIJ,
3556                                         MatTransposeMatMultNumeric_SeqAIJ_SeqAIJ,
3557                                         MatTransposeColoringCreate_SeqAIJ,
3558                                 /*134*/ MatTransColoringApplySpToDen_SeqAIJ,
3559                                         MatTransColoringApplyDenToSp_SeqAIJ,
3560                                         MatRARt_SeqAIJ_SeqAIJ,
3561                                         MatRARtSymbolic_SeqAIJ_SeqAIJ,
3562                                         MatRARtNumeric_SeqAIJ_SeqAIJ,
3563                                  /*139*/0,
3564                                         0
3565 };
3566 
3567 #undef __FUNCT__
3568 #define __FUNCT__ "MatSeqAIJSetColumnIndices_SeqAIJ"
3569 PetscErrorCode  MatSeqAIJSetColumnIndices_SeqAIJ(Mat mat,PetscInt *indices)
3570 {
3571   Mat_SeqAIJ *aij = (Mat_SeqAIJ*)mat->data;
3572   PetscInt   i,nz,n;
3573 
3574   PetscFunctionBegin;
3575   nz = aij->maxnz;
3576   n  = mat->rmap->n;
3577   for (i=0; i<nz; i++) {
3578     aij->j[i] = indices[i];
3579   }
3580   aij->nz = nz;
3581   for (i=0; i<n; i++) {
3582     aij->ilen[i] = aij->imax[i];
3583   }
3584   PetscFunctionReturn(0);
3585 }
3586 
3587 #undef __FUNCT__
3588 #define __FUNCT__ "MatSeqAIJSetColumnIndices"
3589 /*@
3590     MatSeqAIJSetColumnIndices - Set the column indices for all the rows
3591        in the matrix.
3592 
3593   Input Parameters:
3594 +  mat - the SeqAIJ matrix
3595 -  indices - the column indices
3596 
3597   Level: advanced
3598 
3599   Notes:
3600     This can be called if you have precomputed the nonzero structure of the
3601   matrix and want to provide it to the matrix object to improve the performance
3602   of the MatSetValues() operation.
3603 
3604     You MUST have set the correct numbers of nonzeros per row in the call to
3605   MatCreateSeqAIJ(), and the columns indices MUST be sorted.
3606 
3607     MUST be called before any calls to MatSetValues();
3608 
3609     The indices should start with zero, not one.
3610 
3611 @*/
3612 PetscErrorCode  MatSeqAIJSetColumnIndices(Mat mat,PetscInt *indices)
3613 {
3614   PetscErrorCode ierr;
3615 
3616   PetscFunctionBegin;
3617   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3618   PetscValidPointer(indices,2);
3619   ierr = PetscUseMethod(mat,"MatSeqAIJSetColumnIndices_C",(Mat,PetscInt*),(mat,indices));CHKERRQ(ierr);
3620   PetscFunctionReturn(0);
3621 }
3622 
3623 /* ----------------------------------------------------------------------------------------*/
3624 
3625 #undef __FUNCT__
3626 #define __FUNCT__ "MatStoreValues_SeqAIJ"
3627 PetscErrorCode  MatStoreValues_SeqAIJ(Mat mat)
3628 {
3629   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3630   PetscErrorCode ierr;
3631   size_t         nz = aij->i[mat->rmap->n];
3632 
3633   PetscFunctionBegin;
3634   if (aij->nonew != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3635 
3636   /* allocate space for values if not already there */
3637   if (!aij->saved_values) {
3638     ierr = PetscMalloc((nz+1)*sizeof(PetscScalar),&aij->saved_values);CHKERRQ(ierr);
3639     ierr = PetscLogObjectMemory((PetscObject)mat,(nz+1)*sizeof(PetscScalar));CHKERRQ(ierr);
3640   }
3641 
3642   /* copy values over */
3643   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3644   PetscFunctionReturn(0);
3645 }
3646 
3647 #undef __FUNCT__
3648 #define __FUNCT__ "MatStoreValues"
3649 /*@
3650     MatStoreValues - Stashes a copy of the matrix values; this allows, for
3651        example, reuse of the linear part of a Jacobian, while recomputing the
3652        nonlinear portion.
3653 
3654    Collect on Mat
3655 
3656   Input Parameters:
3657 .  mat - the matrix (currently only AIJ matrices support this option)
3658 
3659   Level: advanced
3660 
3661   Common Usage, with SNESSolve():
3662 $    Create Jacobian matrix
3663 $    Set linear terms into matrix
3664 $    Apply boundary conditions to matrix, at this time matrix must have
3665 $      final nonzero structure (i.e. setting the nonlinear terms and applying
3666 $      boundary conditions again will not change the nonzero structure
3667 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3668 $    ierr = MatStoreValues(mat);
3669 $    Call SNESSetJacobian() with matrix
3670 $    In your Jacobian routine
3671 $      ierr = MatRetrieveValues(mat);
3672 $      Set nonlinear terms in matrix
3673 
3674   Common Usage without SNESSolve(), i.e. when you handle nonlinear solve yourself:
3675 $    // build linear portion of Jacobian
3676 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3677 $    ierr = MatStoreValues(mat);
3678 $    loop over nonlinear iterations
3679 $       ierr = MatRetrieveValues(mat);
3680 $       // call MatSetValues(mat,...) to set nonliner portion of Jacobian
3681 $       // call MatAssemblyBegin/End() on matrix
3682 $       Solve linear system with Jacobian
3683 $    endloop
3684 
3685   Notes:
3686     Matrix must already be assemblied before calling this routine
3687     Must set the matrix option MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE); before
3688     calling this routine.
3689 
3690     When this is called multiple times it overwrites the previous set of stored values
3691     and does not allocated additional space.
3692 
3693 .seealso: MatRetrieveValues()
3694 
3695 @*/
3696 PetscErrorCode  MatStoreValues(Mat mat)
3697 {
3698   PetscErrorCode ierr;
3699 
3700   PetscFunctionBegin;
3701   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3702   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3703   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3704   ierr = PetscUseMethod(mat,"MatStoreValues_C",(Mat),(mat));CHKERRQ(ierr);
3705   PetscFunctionReturn(0);
3706 }
3707 
3708 #undef __FUNCT__
3709 #define __FUNCT__ "MatRetrieveValues_SeqAIJ"
3710 PetscErrorCode  MatRetrieveValues_SeqAIJ(Mat mat)
3711 {
3712   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3713   PetscErrorCode ierr;
3714   PetscInt       nz = aij->i[mat->rmap->n];
3715 
3716   PetscFunctionBegin;
3717   if (aij->nonew != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3718   if (!aij->saved_values) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
3719   /* copy values over */
3720   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3721   PetscFunctionReturn(0);
3722 }
3723 
3724 #undef __FUNCT__
3725 #define __FUNCT__ "MatRetrieveValues"
3726 /*@
3727     MatRetrieveValues - Retrieves the copy of the matrix values; this allows, for
3728        example, reuse of the linear part of a Jacobian, while recomputing the
3729        nonlinear portion.
3730 
3731    Collect on Mat
3732 
3733   Input Parameters:
3734 .  mat - the matrix (currently on AIJ matrices support this option)
3735 
3736   Level: advanced
3737 
3738 .seealso: MatStoreValues()
3739 
3740 @*/
3741 PetscErrorCode  MatRetrieveValues(Mat mat)
3742 {
3743   PetscErrorCode ierr;
3744 
3745   PetscFunctionBegin;
3746   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3747   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3748   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3749   ierr = PetscUseMethod(mat,"MatRetrieveValues_C",(Mat),(mat));CHKERRQ(ierr);
3750   PetscFunctionReturn(0);
3751 }
3752 
3753 
3754 /* --------------------------------------------------------------------------------*/
3755 #undef __FUNCT__
3756 #define __FUNCT__ "MatCreateSeqAIJ"
3757 /*@C
3758    MatCreateSeqAIJ - Creates a sparse matrix in AIJ (compressed row) format
3759    (the default parallel PETSc format).  For good matrix assembly performance
3760    the user should preallocate the matrix storage by setting the parameter nz
3761    (or the array nnz).  By setting these parameters accurately, performance
3762    during matrix assembly can be increased by more than a factor of 50.
3763 
3764    Collective on MPI_Comm
3765 
3766    Input Parameters:
3767 +  comm - MPI communicator, set to PETSC_COMM_SELF
3768 .  m - number of rows
3769 .  n - number of columns
3770 .  nz - number of nonzeros per row (same for all rows)
3771 -  nnz - array containing the number of nonzeros in the various rows
3772          (possibly different for each row) or NULL
3773 
3774    Output Parameter:
3775 .  A - the matrix
3776 
3777    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3778    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3779    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3780 
3781    Notes:
3782    If nnz is given then nz is ignored
3783 
3784    The AIJ format (also called the Yale sparse matrix format or
3785    compressed row storage), is fully compatible with standard Fortran 77
3786    storage.  That is, the stored row and column indices can begin at
3787    either one (as in Fortran) or zero.  See the users' manual for details.
3788 
3789    Specify the preallocated storage with either nz or nnz (not both).
3790    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3791    allocation.  For large problems you MUST preallocate memory or you
3792    will get TERRIBLE performance, see the users' manual chapter on matrices.
3793 
3794    By default, this format uses inodes (identical nodes) when possible, to
3795    improve numerical efficiency of matrix-vector products and solves. We
3796    search for consecutive rows with the same nonzero structure, thereby
3797    reusing matrix information to achieve increased efficiency.
3798 
3799    Options Database Keys:
3800 +  -mat_no_inode  - Do not use inodes
3801 -  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3802 
3803    Level: intermediate
3804 
3805 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays()
3806 
3807 @*/
3808 PetscErrorCode  MatCreateSeqAIJ(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
3809 {
3810   PetscErrorCode ierr;
3811 
3812   PetscFunctionBegin;
3813   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3814   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
3815   ierr = MatSetType(*A,MATSEQAIJ);CHKERRQ(ierr);
3816   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*A,nz,nnz);CHKERRQ(ierr);
3817   PetscFunctionReturn(0);
3818 }
3819 
3820 #undef __FUNCT__
3821 #define __FUNCT__ "MatSeqAIJSetPreallocation"
3822 /*@C
3823    MatSeqAIJSetPreallocation - For good matrix assembly performance
3824    the user should preallocate the matrix storage by setting the parameter nz
3825    (or the array nnz).  By setting these parameters accurately, performance
3826    during matrix assembly can be increased by more than a factor of 50.
3827 
3828    Collective on MPI_Comm
3829 
3830    Input Parameters:
3831 +  B - The matrix-free
3832 .  nz - number of nonzeros per row (same for all rows)
3833 -  nnz - array containing the number of nonzeros in the various rows
3834          (possibly different for each row) or NULL
3835 
3836    Notes:
3837      If nnz is given then nz is ignored
3838 
3839     The AIJ format (also called the Yale sparse matrix format or
3840    compressed row storage), is fully compatible with standard Fortran 77
3841    storage.  That is, the stored row and column indices can begin at
3842    either one (as in Fortran) or zero.  See the users' manual for details.
3843 
3844    Specify the preallocated storage with either nz or nnz (not both).
3845    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3846    allocation.  For large problems you MUST preallocate memory or you
3847    will get TERRIBLE performance, see the users' manual chapter on matrices.
3848 
3849    You can call MatGetInfo() to get information on how effective the preallocation was;
3850    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3851    You can also run with the option -info and look for messages with the string
3852    malloc in them to see if additional memory allocation was needed.
3853 
3854    Developers: Use nz of MAT_SKIP_ALLOCATION to not allocate any space for the matrix
3855    entries or columns indices
3856 
3857    By default, this format uses inodes (identical nodes) when possible, to
3858    improve numerical efficiency of matrix-vector products and solves. We
3859    search for consecutive rows with the same nonzero structure, thereby
3860    reusing matrix information to achieve increased efficiency.
3861 
3862    Options Database Keys:
3863 +  -mat_no_inode  - Do not use inodes
3864 .  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3865 -  -mat_aij_oneindex - Internally use indexing starting at 1
3866         rather than 0.  Note that when calling MatSetValues(),
3867         the user still MUST index entries starting at 0!
3868 
3869    Level: intermediate
3870 
3871 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays(), MatGetInfo()
3872 
3873 @*/
3874 PetscErrorCode  MatSeqAIJSetPreallocation(Mat B,PetscInt nz,const PetscInt nnz[])
3875 {
3876   PetscErrorCode ierr;
3877 
3878   PetscFunctionBegin;
3879   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3880   PetscValidType(B,1);
3881   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocation_C",(Mat,PetscInt,const PetscInt[]),(B,nz,nnz));CHKERRQ(ierr);
3882   PetscFunctionReturn(0);
3883 }
3884 
3885 #undef __FUNCT__
3886 #define __FUNCT__ "MatSeqAIJSetPreallocation_SeqAIJ"
3887 PetscErrorCode  MatSeqAIJSetPreallocation_SeqAIJ(Mat B,PetscInt nz,const PetscInt *nnz)
3888 {
3889   Mat_SeqAIJ     *b;
3890   PetscBool      skipallocation = PETSC_FALSE,realalloc = PETSC_FALSE;
3891   PetscErrorCode ierr;
3892   PetscInt       i;
3893 
3894   PetscFunctionBegin;
3895   if (nz >= 0 || nnz) realalloc = PETSC_TRUE;
3896   if (nz == MAT_SKIP_ALLOCATION) {
3897     skipallocation = PETSC_TRUE;
3898     nz             = 0;
3899   }
3900 
3901   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3902   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3903 
3904   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
3905   if (nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %d",nz);
3906   if (nnz) {
3907     for (i=0; i<B->rmap->n; i++) {
3908       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]);
3909       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);
3910     }
3911   }
3912 
3913   B->preallocated = PETSC_TRUE;
3914 
3915   b = (Mat_SeqAIJ*)B->data;
3916 
3917   if (!skipallocation) {
3918     if (!b->imax) {
3919       ierr = PetscMalloc2(B->rmap->n,PetscInt,&b->imax,B->rmap->n,PetscInt,&b->ilen);CHKERRQ(ierr);
3920       ierr = PetscLogObjectMemory((PetscObject)B,2*B->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
3921     }
3922     if (!nnz) {
3923       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 10;
3924       else if (nz < 0) nz = 1;
3925       for (i=0; i<B->rmap->n; i++) b->imax[i] = nz;
3926       nz = nz*B->rmap->n;
3927     } else {
3928       nz = 0;
3929       for (i=0; i<B->rmap->n; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
3930     }
3931     /* b->ilen will count nonzeros in each row so far. */
3932     for (i=0; i<B->rmap->n; i++) b->ilen[i] = 0;
3933 
3934     /* allocate the matrix space */
3935     ierr    = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
3936     ierr    = PetscMalloc3(nz,PetscScalar,&b->a,nz,PetscInt,&b->j,B->rmap->n+1,PetscInt,&b->i);CHKERRQ(ierr);
3937     ierr    = PetscLogObjectMemory((PetscObject)B,(B->rmap->n+1)*sizeof(PetscInt)+nz*(sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
3938     b->i[0] = 0;
3939     for (i=1; i<B->rmap->n+1; i++) {
3940       b->i[i] = b->i[i-1] + b->imax[i-1];
3941     }
3942     b->singlemalloc = PETSC_TRUE;
3943     b->free_a       = PETSC_TRUE;
3944     b->free_ij      = PETSC_TRUE;
3945 #if defined(PETSC_THREADCOMM_ACTIVE)
3946     ierr = MatZeroEntries_SeqAIJ(B);CHKERRQ(ierr);
3947 #endif
3948   } else {
3949     b->free_a  = PETSC_FALSE;
3950     b->free_ij = PETSC_FALSE;
3951   }
3952 
3953   b->nz               = 0;
3954   b->maxnz            = nz;
3955   B->info.nz_unneeded = (double)b->maxnz;
3956   if (realalloc) {
3957     ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3958   }
3959   PetscFunctionReturn(0);
3960 }
3961 
3962 #undef  __FUNCT__
3963 #define __FUNCT__  "MatSeqAIJSetPreallocationCSR"
3964 /*@
3965    MatSeqAIJSetPreallocationCSR - Allocates memory for a sparse sequential matrix in AIJ format.
3966 
3967    Input Parameters:
3968 +  B - the matrix
3969 .  i - the indices into j for the start of each row (starts with zero)
3970 .  j - the column indices for each row (starts with zero) these must be sorted for each row
3971 -  v - optional values in the matrix
3972 
3973    Level: developer
3974 
3975    The i,j,v values are COPIED with this routine; to avoid the copy use MatCreateSeqAIJWithArrays()
3976 
3977 .keywords: matrix, aij, compressed row, sparse, sequential
3978 
3979 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatSeqAIJSetPreallocation(), MatCreateSeqAIJ(), SeqAIJ
3980 @*/
3981 PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat B,const PetscInt i[],const PetscInt j[],const PetscScalar v[])
3982 {
3983   PetscErrorCode ierr;
3984 
3985   PetscFunctionBegin;
3986   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3987   PetscValidType(B,1);
3988   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocationCSR_C",(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,i,j,v));CHKERRQ(ierr);
3989   PetscFunctionReturn(0);
3990 }
3991 
3992 #undef  __FUNCT__
3993 #define __FUNCT__  "MatSeqAIJSetPreallocationCSR_SeqAIJ"
3994 PetscErrorCode  MatSeqAIJSetPreallocationCSR_SeqAIJ(Mat B,const PetscInt Ii[],const PetscInt J[],const PetscScalar v[])
3995 {
3996   PetscInt       i;
3997   PetscInt       m,n;
3998   PetscInt       nz;
3999   PetscInt       *nnz, nz_max = 0;
4000   PetscScalar    *values;
4001   PetscErrorCode ierr;
4002 
4003   PetscFunctionBegin;
4004   if (Ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Ii[0] must be 0 it is %D", Ii[0]);
4005 
4006   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
4007   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
4008 
4009   ierr = MatGetSize(B, &m, &n);CHKERRQ(ierr);
4010   ierr = PetscMalloc((m+1) * sizeof(PetscInt), &nnz);CHKERRQ(ierr);
4011   for (i = 0; i < m; i++) {
4012     nz     = Ii[i+1]- Ii[i];
4013     nz_max = PetscMax(nz_max, nz);
4014     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Local row %D has a negative number of columns %D", i, nnz);
4015     nnz[i] = nz;
4016   }
4017   ierr = MatSeqAIJSetPreallocation(B, 0, nnz);CHKERRQ(ierr);
4018   ierr = PetscFree(nnz);CHKERRQ(ierr);
4019 
4020   if (v) {
4021     values = (PetscScalar*) v;
4022   } else {
4023     ierr = PetscMalloc(nz_max*sizeof(PetscScalar), &values);CHKERRQ(ierr);
4024     ierr = PetscMemzero(values, nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
4025   }
4026 
4027   for (i = 0; i < m; i++) {
4028     nz   = Ii[i+1] - Ii[i];
4029     ierr = MatSetValues_SeqAIJ(B, 1, &i, nz, J+Ii[i], values + (v ? Ii[i] : 0), INSERT_VALUES);CHKERRQ(ierr);
4030   }
4031 
4032   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4033   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4034 
4035   if (!v) {
4036     ierr = PetscFree(values);CHKERRQ(ierr);
4037   }
4038   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
4039   PetscFunctionReturn(0);
4040 }
4041 
4042 #include <../src/mat/impls/dense/seq/dense.h>
4043 #include <petsc-private/kernels/petscaxpy.h>
4044 
4045 #undef __FUNCT__
4046 #define __FUNCT__ "MatMatMultNumeric_SeqDense_SeqAIJ"
4047 /*
4048     Computes (B'*A')' since computing B*A directly is untenable
4049 
4050                n                       p                          p
4051         (              )       (              )         (                  )
4052       m (      A       )  *  n (       B      )   =   m (         C        )
4053         (              )       (              )         (                  )
4054 
4055 */
4056 PetscErrorCode MatMatMultNumeric_SeqDense_SeqAIJ(Mat A,Mat B,Mat C)
4057 {
4058   PetscErrorCode    ierr;
4059   Mat_SeqDense      *sub_a = (Mat_SeqDense*)A->data;
4060   Mat_SeqAIJ        *sub_b = (Mat_SeqAIJ*)B->data;
4061   Mat_SeqDense      *sub_c = (Mat_SeqDense*)C->data;
4062   PetscInt          i,n,m,q,p;
4063   const PetscInt    *ii,*idx;
4064   const PetscScalar *b,*a,*a_q;
4065   PetscScalar       *c,*c_q;
4066 
4067   PetscFunctionBegin;
4068   m    = A->rmap->n;
4069   n    = A->cmap->n;
4070   p    = B->cmap->n;
4071   a    = sub_a->v;
4072   b    = sub_b->a;
4073   c    = sub_c->v;
4074   ierr = PetscMemzero(c,m*p*sizeof(PetscScalar));CHKERRQ(ierr);
4075 
4076   ii  = sub_b->i;
4077   idx = sub_b->j;
4078   for (i=0; i<n; i++) {
4079     q = ii[i+1] - ii[i];
4080     while (q-->0) {
4081       c_q = c + m*(*idx);
4082       a_q = a + m*i;
4083       PetscKernelAXPY(c_q,*b,a_q,m);
4084       idx++;
4085       b++;
4086     }
4087   }
4088   PetscFunctionReturn(0);
4089 }
4090 
4091 #undef __FUNCT__
4092 #define __FUNCT__ "MatMatMultSymbolic_SeqDense_SeqAIJ"
4093 PetscErrorCode MatMatMultSymbolic_SeqDense_SeqAIJ(Mat A,Mat B,PetscReal fill,Mat *C)
4094 {
4095   PetscErrorCode ierr;
4096   PetscInt       m=A->rmap->n,n=B->cmap->n;
4097   Mat            Cmat;
4098 
4099   PetscFunctionBegin;
4100   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);
4101   ierr = MatCreate(PetscObjectComm((PetscObject)A),&Cmat);CHKERRQ(ierr);
4102   ierr = MatSetSizes(Cmat,m,n,m,n);CHKERRQ(ierr);
4103   ierr = MatSetBlockSizes(Cmat,A->rmap->bs,B->cmap->bs);CHKERRQ(ierr);
4104   ierr = MatSetType(Cmat,MATSEQDENSE);CHKERRQ(ierr);
4105   ierr = MatSeqDenseSetPreallocation(Cmat,NULL);CHKERRQ(ierr);
4106 
4107   Cmat->ops->matmultnumeric = MatMatMultNumeric_SeqDense_SeqAIJ;
4108 
4109   *C = Cmat;
4110   PetscFunctionReturn(0);
4111 }
4112 
4113 /* ----------------------------------------------------------------*/
4114 #undef __FUNCT__
4115 #define __FUNCT__ "MatMatMult_SeqDense_SeqAIJ"
4116 PetscErrorCode MatMatMult_SeqDense_SeqAIJ(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
4117 {
4118   PetscErrorCode ierr;
4119 
4120   PetscFunctionBegin;
4121   if (scall == MAT_INITIAL_MATRIX) {
4122     ierr = PetscLogEventBegin(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
4123     ierr = MatMatMultSymbolic_SeqDense_SeqAIJ(A,B,fill,C);CHKERRQ(ierr);
4124     ierr = PetscLogEventEnd(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
4125   }
4126   ierr = PetscLogEventBegin(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
4127   ierr = MatMatMultNumeric_SeqDense_SeqAIJ(A,B,*C);CHKERRQ(ierr);
4128   ierr = PetscLogEventEnd(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
4129   PetscFunctionReturn(0);
4130 }
4131 
4132 
4133 /*MC
4134    MATSEQAIJ - MATSEQAIJ = "seqaij" - A matrix type to be used for sequential sparse matrices,
4135    based on compressed sparse row format.
4136 
4137    Options Database Keys:
4138 . -mat_type seqaij - sets the matrix type to "seqaij" during a call to MatSetFromOptions()
4139 
4140   Level: beginner
4141 
4142 .seealso: MatCreateSeqAIJ(), MatSetFromOptions(), MatSetType(), MatCreate(), MatType
4143 M*/
4144 
4145 /*MC
4146    MATAIJ - MATAIJ = "aij" - A matrix type to be used for sparse matrices.
4147 
4148    This matrix type is identical to MATSEQAIJ when constructed with a single process communicator,
4149    and MATMPIAIJ otherwise.  As a result, for single process communicators,
4150   MatSeqAIJSetPreallocation is supported, and similarly MatMPIAIJSetPreallocation is supported
4151   for communicators controlling multiple processes.  It is recommended that you call both of
4152   the above preallocation routines for simplicity.
4153 
4154    Options Database Keys:
4155 . -mat_type aij - sets the matrix type to "aij" during a call to MatSetFromOptions()
4156 
4157   Developer Notes: Subclasses include MATAIJCUSP, MATAIJPERM, MATAIJCRL, and also automatically switches over to use inodes when
4158    enough exist.
4159 
4160   Level: beginner
4161 
4162 .seealso: MatCreateAIJ(), MatCreateSeqAIJ(), MATSEQAIJ,MATMPIAIJ
4163 M*/
4164 
4165 /*MC
4166    MATAIJCRL - MATAIJCRL = "aijcrl" - A matrix type to be used for sparse matrices.
4167 
4168    This matrix type is identical to MATSEQAIJCRL when constructed with a single process communicator,
4169    and MATMPIAIJCRL otherwise.  As a result, for single process communicators,
4170    MatSeqAIJSetPreallocation() is supported, and similarly MatMPIAIJSetPreallocation() is supported
4171   for communicators controlling multiple processes.  It is recommended that you call both of
4172   the above preallocation routines for simplicity.
4173 
4174    Options Database Keys:
4175 . -mat_type aijcrl - sets the matrix type to "aijcrl" during a call to MatSetFromOptions()
4176 
4177   Level: beginner
4178 
4179 .seealso: MatCreateMPIAIJCRL,MATSEQAIJCRL,MATMPIAIJCRL, MATSEQAIJCRL, MATMPIAIJCRL
4180 M*/
4181 
4182 #if defined(PETSC_HAVE_PASTIX)
4183 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_pastix(Mat,MatFactorType,Mat*);
4184 #endif
4185 #if defined(PETSC_HAVE_ESSL) && !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_REAL_SINGLE) && !defined(PETSC_USE_REAL___FLOAT128)
4186 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_essl(Mat,MatFactorType,Mat*);
4187 #endif
4188 PETSC_EXTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJCRL(Mat,MatType,MatReuse,Mat*);
4189 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_petsc(Mat,MatFactorType,Mat*);
4190 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_bas(Mat,MatFactorType,Mat*);
4191 extern PetscErrorCode  MatGetFactorAvailable_seqaij_petsc(Mat,MatFactorType,PetscBool*);
4192 #if defined(PETSC_HAVE_MUMPS)
4193 PETSC_EXTERN PetscErrorCode MatGetFactor_aij_mumps(Mat,MatFactorType,Mat*);
4194 #endif
4195 #if defined(PETSC_HAVE_SUPERLU)
4196 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_superlu(Mat,MatFactorType,Mat*);
4197 #endif
4198 #if defined(PETSC_HAVE_SUPERLU_DIST)
4199 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_superlu_dist(Mat,MatFactorType,Mat*);
4200 #endif
4201 #if defined(PETSC_HAVE_UMFPACK)
4202 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_umfpack(Mat,MatFactorType,Mat*);
4203 #endif
4204 #if defined(PETSC_HAVE_CHOLMOD)
4205 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_cholmod(Mat,MatFactorType,Mat*);
4206 #endif
4207 #if defined(PETSC_HAVE_LUSOL)
4208 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_lusol(Mat,MatFactorType,Mat*);
4209 #endif
4210 #if defined(PETSC_HAVE_MATLAB_ENGINE)
4211 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_matlab(Mat,MatFactorType,Mat*);
4212 extern PetscErrorCode  MatlabEnginePut_SeqAIJ(PetscObject,void*);
4213 extern PetscErrorCode  MatlabEngineGet_SeqAIJ(PetscObject,void*);
4214 #endif
4215 #if defined(PETSC_HAVE_CLIQUE)
4216 PETSC_EXTERN PetscErrorCode MatGetFactor_aij_clique(Mat,MatFactorType,Mat*);
4217 #endif
4218 
4219 
4220 #undef __FUNCT__
4221 #define __FUNCT__ "MatSeqAIJGetArray"
4222 /*@C
4223    MatSeqAIJGetArray - gives access to the array where the data for a SeqSeqAIJ matrix is stored
4224 
4225    Not Collective
4226 
4227    Input Parameter:
4228 .  mat - a MATSEQDENSE matrix
4229 
4230    Output Parameter:
4231 .   array - pointer to the data
4232 
4233    Level: intermediate
4234 
4235 .seealso: MatSeqAIJRestoreArray(), MatSeqAIJGetArrayF90()
4236 @*/
4237 PetscErrorCode  MatSeqAIJGetArray(Mat A,PetscScalar **array)
4238 {
4239   PetscErrorCode ierr;
4240 
4241   PetscFunctionBegin;
4242   ierr = PetscUseMethod(A,"MatSeqAIJGetArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
4243   PetscFunctionReturn(0);
4244 }
4245 
4246 #undef __FUNCT__
4247 #define __FUNCT__ "MatSeqAIJRestoreArray"
4248 /*@C
4249    MatSeqAIJRestoreArray - returns access to the array where the data for a SeqSeqAIJ matrix is stored obtained by MatSeqAIJGetArray()
4250 
4251    Not Collective
4252 
4253    Input Parameters:
4254 .  mat - a MATSEQDENSE matrix
4255 .  array - pointer to the data
4256 
4257    Level: intermediate
4258 
4259 .seealso: MatSeqAIJGetArray(), MatSeqAIJRestoreArrayF90()
4260 @*/
4261 PetscErrorCode  MatSeqAIJRestoreArray(Mat A,PetscScalar **array)
4262 {
4263   PetscErrorCode ierr;
4264 
4265   PetscFunctionBegin;
4266   ierr = PetscUseMethod(A,"MatSeqAIJRestoreArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
4267   PetscFunctionReturn(0);
4268 }
4269 
4270 #undef __FUNCT__
4271 #define __FUNCT__ "MatCreate_SeqAIJ"
4272 PETSC_EXTERN PetscErrorCode MatCreate_SeqAIJ(Mat B)
4273 {
4274   Mat_SeqAIJ     *b;
4275   PetscErrorCode ierr;
4276   PetscMPIInt    size;
4277 
4278   PetscFunctionBegin;
4279   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&size);CHKERRQ(ierr);
4280   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Comm must be of size 1");
4281 
4282   ierr = PetscNewLog(B,Mat_SeqAIJ,&b);CHKERRQ(ierr);
4283 
4284   B->data = (void*)b;
4285 
4286   ierr = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
4287 
4288   b->row                = 0;
4289   b->col                = 0;
4290   b->icol               = 0;
4291   b->reallocs           = 0;
4292   b->ignorezeroentries  = PETSC_FALSE;
4293   b->roworiented        = PETSC_TRUE;
4294   b->nonew              = 0;
4295   b->diag               = 0;
4296   b->solve_work         = 0;
4297   B->spptr              = 0;
4298   b->saved_values       = 0;
4299   b->idiag              = 0;
4300   b->mdiag              = 0;
4301   b->ssor_work          = 0;
4302   b->omega              = 1.0;
4303   b->fshift             = 0.0;
4304   b->idiagvalid         = PETSC_FALSE;
4305   b->ibdiagvalid        = PETSC_FALSE;
4306   b->keepnonzeropattern = PETSC_FALSE;
4307   b->xtoy               = 0;
4308   b->XtoY               = 0;
4309   B->same_nonzero       = PETSC_FALSE;
4310 
4311   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
4312   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJGetArray_C",MatSeqAIJGetArray_SeqAIJ);CHKERRQ(ierr);
4313   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJRestoreArray_C",MatSeqAIJRestoreArray_SeqAIJ);CHKERRQ(ierr);
4314 
4315 #if defined(PETSC_HAVE_MATLAB_ENGINE)
4316   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_matlab_C",MatGetFactor_seqaij_matlab);CHKERRQ(ierr);
4317   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEnginePut_C",MatlabEnginePut_SeqAIJ);CHKERRQ(ierr);
4318   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEngineGet_C",MatlabEngineGet_SeqAIJ);CHKERRQ(ierr);
4319 #endif
4320 #if defined(PETSC_HAVE_PASTIX)
4321   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_pastix_C",MatGetFactor_seqaij_pastix);CHKERRQ(ierr);
4322 #endif
4323 #if defined(PETSC_HAVE_ESSL) && !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_REAL_SINGLE) && !defined(PETSC_USE_REAL___FLOAT128)
4324   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_essl_C",MatGetFactor_seqaij_essl);CHKERRQ(ierr);
4325 #endif
4326 #if defined(PETSC_HAVE_SUPERLU)
4327   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_superlu_C",MatGetFactor_seqaij_superlu);CHKERRQ(ierr);
4328 #endif
4329 #if defined(PETSC_HAVE_SUPERLU_DIST)
4330   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_superlu_dist_C",MatGetFactor_seqaij_superlu_dist);CHKERRQ(ierr);
4331 #endif
4332 #if defined(PETSC_HAVE_MUMPS)
4333   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_mumps_C",MatGetFactor_aij_mumps);CHKERRQ(ierr);
4334 #endif
4335 #if defined(PETSC_HAVE_UMFPACK)
4336   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_umfpack_C",MatGetFactor_seqaij_umfpack);CHKERRQ(ierr);
4337 #endif
4338 #if defined(PETSC_HAVE_CHOLMOD)
4339   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_cholmod_C",MatGetFactor_seqaij_cholmod);CHKERRQ(ierr);
4340 #endif
4341 #if defined(PETSC_HAVE_LUSOL)
4342   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_lusol_C",MatGetFactor_seqaij_lusol);CHKERRQ(ierr);
4343 #endif
4344 #if defined(PETSC_HAVE_CLIQUE)
4345   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_clique_C",MatGetFactor_aij_clique);CHKERRQ(ierr);
4346 #endif
4347 
4348   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_petsc_C",MatGetFactor_seqaij_petsc);CHKERRQ(ierr);
4349   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactorAvailable_petsc_C",MatGetFactorAvailable_seqaij_petsc);CHKERRQ(ierr);
4350   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_bas_C",MatGetFactor_seqaij_bas);CHKERRQ(ierr);
4351   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetColumnIndices_C",MatSeqAIJSetColumnIndices_SeqAIJ);CHKERRQ(ierr);
4352   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_SeqAIJ);CHKERRQ(ierr);
4353   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_SeqAIJ);CHKERRQ(ierr);
4354   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqsbaij_C",MatConvert_SeqAIJ_SeqSBAIJ);CHKERRQ(ierr);
4355   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqbaij_C",MatConvert_SeqAIJ_SeqBAIJ);CHKERRQ(ierr);
4356   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijperm_C",MatConvert_SeqAIJ_SeqAIJPERM);CHKERRQ(ierr);
4357   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijcrl_C",MatConvert_SeqAIJ_SeqAIJCRL);CHKERRQ(ierr);
4358   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4359   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsHermitianTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4360   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocation_C",MatSeqAIJSetPreallocation_SeqAIJ);CHKERRQ(ierr);
4361   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocationCSR_C",MatSeqAIJSetPreallocationCSR_SeqAIJ);CHKERRQ(ierr);
4362   ierr = PetscObjectComposeFunction((PetscObject)B,"MatReorderForNonzeroDiagonal_C",MatReorderForNonzeroDiagonal_SeqAIJ);CHKERRQ(ierr);
4363   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMult_seqdense_seqaij_C",MatMatMult_SeqDense_SeqAIJ);CHKERRQ(ierr);
4364   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultSymbolic_seqdense_seqaij_C",MatMatMultSymbolic_SeqDense_SeqAIJ);CHKERRQ(ierr);
4365   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultNumeric_seqdense_seqaij_C",MatMatMultNumeric_SeqDense_SeqAIJ);CHKERRQ(ierr);
4366   ierr = MatCreate_SeqAIJ_Inode(B);CHKERRQ(ierr);
4367   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
4368   PetscFunctionReturn(0);
4369 }
4370 
4371 #undef __FUNCT__
4372 #define __FUNCT__ "MatDuplicateNoCreate_SeqAIJ"
4373 /*
4374     Given a matrix generated with MatGetFactor() duplicates all the information in A into B
4375 */
4376 PetscErrorCode MatDuplicateNoCreate_SeqAIJ(Mat C,Mat A,MatDuplicateOption cpvalues,PetscBool mallocmatspace)
4377 {
4378   Mat_SeqAIJ     *c,*a = (Mat_SeqAIJ*)A->data;
4379   PetscErrorCode ierr;
4380   PetscInt       i,m = A->rmap->n;
4381 
4382   PetscFunctionBegin;
4383   c = (Mat_SeqAIJ*)C->data;
4384 
4385   C->factortype = A->factortype;
4386   c->row        = 0;
4387   c->col        = 0;
4388   c->icol       = 0;
4389   c->reallocs   = 0;
4390 
4391   C->assembled = PETSC_TRUE;
4392 
4393   ierr = PetscLayoutReference(A->rmap,&C->rmap);CHKERRQ(ierr);
4394   ierr = PetscLayoutReference(A->cmap,&C->cmap);CHKERRQ(ierr);
4395 
4396   ierr = PetscMalloc2(m,PetscInt,&c->imax,m,PetscInt,&c->ilen);CHKERRQ(ierr);
4397   ierr = PetscLogObjectMemory((PetscObject)C, 2*m*sizeof(PetscInt));CHKERRQ(ierr);
4398   for (i=0; i<m; i++) {
4399     c->imax[i] = a->imax[i];
4400     c->ilen[i] = a->ilen[i];
4401   }
4402 
4403   /* allocate the matrix space */
4404   if (mallocmatspace) {
4405     ierr = PetscMalloc3(a->i[m],PetscScalar,&c->a,a->i[m],PetscInt,&c->j,m+1,PetscInt,&c->i);CHKERRQ(ierr);
4406     ierr = PetscLogObjectMemory((PetscObject)C, a->i[m]*(sizeof(PetscScalar)+sizeof(PetscInt))+(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4407 
4408     c->singlemalloc = PETSC_TRUE;
4409 
4410     ierr = PetscMemcpy(c->i,a->i,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4411     if (m > 0) {
4412       ierr = PetscMemcpy(c->j,a->j,(a->i[m])*sizeof(PetscInt));CHKERRQ(ierr);
4413       if (cpvalues == MAT_COPY_VALUES) {
4414         ierr = PetscMemcpy(c->a,a->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4415       } else {
4416         ierr = PetscMemzero(c->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4417       }
4418     }
4419   }
4420 
4421   c->ignorezeroentries = a->ignorezeroentries;
4422   c->roworiented       = a->roworiented;
4423   c->nonew             = a->nonew;
4424   if (a->diag) {
4425     ierr = PetscMalloc((m+1)*sizeof(PetscInt),&c->diag);CHKERRQ(ierr);
4426     ierr = PetscLogObjectMemory((PetscObject)C,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4427     for (i=0; i<m; i++) {
4428       c->diag[i] = a->diag[i];
4429     }
4430   } else c->diag = 0;
4431 
4432   c->solve_work         = 0;
4433   c->saved_values       = 0;
4434   c->idiag              = 0;
4435   c->ssor_work          = 0;
4436   c->keepnonzeropattern = a->keepnonzeropattern;
4437   c->free_a             = PETSC_TRUE;
4438   c->free_ij            = PETSC_TRUE;
4439   c->xtoy               = 0;
4440   c->XtoY               = 0;
4441 
4442   c->rmax         = a->rmax;
4443   c->nz           = a->nz;
4444   c->maxnz        = a->nz;       /* Since we allocate exactly the right amount */
4445   C->preallocated = PETSC_TRUE;
4446 
4447   c->compressedrow.use   = a->compressedrow.use;
4448   c->compressedrow.nrows = a->compressedrow.nrows;
4449   c->compressedrow.check = a->compressedrow.check;
4450   if (a->compressedrow.use) {
4451     i    = a->compressedrow.nrows;
4452     ierr = PetscMalloc2(i+1,PetscInt,&c->compressedrow.i,i,PetscInt,&c->compressedrow.rindex);CHKERRQ(ierr);
4453     ierr = PetscMemcpy(c->compressedrow.i,a->compressedrow.i,(i+1)*sizeof(PetscInt));CHKERRQ(ierr);
4454     ierr = PetscMemcpy(c->compressedrow.rindex,a->compressedrow.rindex,i*sizeof(PetscInt));CHKERRQ(ierr);
4455   } else {
4456     c->compressedrow.use    = PETSC_FALSE;
4457     c->compressedrow.i      = NULL;
4458     c->compressedrow.rindex = NULL;
4459   }
4460   C->same_nonzero = A->same_nonzero;
4461 
4462   ierr = MatDuplicate_SeqAIJ_Inode(A,cpvalues,&C);CHKERRQ(ierr);
4463   ierr = PetscFunctionListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
4464   PetscFunctionReturn(0);
4465 }
4466 
4467 #undef __FUNCT__
4468 #define __FUNCT__ "MatDuplicate_SeqAIJ"
4469 PetscErrorCode MatDuplicate_SeqAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
4470 {
4471   PetscErrorCode ierr;
4472 
4473   PetscFunctionBegin;
4474   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
4475   ierr = MatSetSizes(*B,A->rmap->n,A->cmap->n,A->rmap->n,A->cmap->n);CHKERRQ(ierr);
4476   ierr = MatSetBlockSizes(*B,A->rmap->bs,A->cmap->bs);CHKERRQ(ierr);
4477   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
4478   ierr = MatDuplicateNoCreate_SeqAIJ(*B,A,cpvalues,PETSC_TRUE);CHKERRQ(ierr);
4479   PetscFunctionReturn(0);
4480 }
4481 
4482 #undef __FUNCT__
4483 #define __FUNCT__ "MatLoad_SeqAIJ"
4484 PetscErrorCode MatLoad_SeqAIJ(Mat newMat, PetscViewer viewer)
4485 {
4486   Mat_SeqAIJ     *a;
4487   PetscErrorCode ierr;
4488   PetscInt       i,sum,nz,header[4],*rowlengths = 0,M,N,rows,cols;
4489   int            fd;
4490   PetscMPIInt    size;
4491   MPI_Comm       comm;
4492   PetscInt       bs = 1;
4493 
4494   PetscFunctionBegin;
4495   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
4496   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4497   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"view must have one processor");
4498 
4499   ierr = PetscOptionsBegin(comm,NULL,"Options for loading SEQAIJ matrix","Mat");CHKERRQ(ierr);
4500   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
4501   ierr = PetscOptionsEnd();CHKERRQ(ierr);
4502   if (bs > 1) {ierr = MatSetBlockSize(newMat,bs);CHKERRQ(ierr);}
4503 
4504   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
4505   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
4506   if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object in file");
4507   M = header[1]; N = header[2]; nz = header[3];
4508 
4509   if (nz < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk,cannot load as SeqAIJ");
4510 
4511   /* read in row lengths */
4512   ierr = PetscMalloc(M*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
4513   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
4514 
4515   /* check if sum of rowlengths is same as nz */
4516   for (i=0,sum=0; i< M; i++) sum +=rowlengths[i];
4517   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);
4518 
4519   /* set global size if not set already*/
4520   if (newMat->rmap->n < 0 && newMat->rmap->N < 0 && newMat->cmap->n < 0 && newMat->cmap->N < 0) {
4521     ierr = MatSetSizes(newMat,PETSC_DECIDE,PETSC_DECIDE,M,N);CHKERRQ(ierr);
4522   } else {
4523     /* if sizes and type are already set, check if the vector global sizes are correct */
4524     ierr = MatGetSize(newMat,&rows,&cols);CHKERRQ(ierr);
4525     if (rows < 0 && cols < 0) { /* user might provide local size instead of global size */
4526       ierr = MatGetLocalSize(newMat,&rows,&cols);CHKERRQ(ierr);
4527     }
4528     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);
4529   }
4530   ierr = MatSeqAIJSetPreallocation_SeqAIJ(newMat,0,rowlengths);CHKERRQ(ierr);
4531   a    = (Mat_SeqAIJ*)newMat->data;
4532 
4533   ierr = PetscBinaryRead(fd,a->j,nz,PETSC_INT);CHKERRQ(ierr);
4534 
4535   /* read in nonzero values */
4536   ierr = PetscBinaryRead(fd,a->a,nz,PETSC_SCALAR);CHKERRQ(ierr);
4537 
4538   /* set matrix "i" values */
4539   a->i[0] = 0;
4540   for (i=1; i<= M; i++) {
4541     a->i[i]      = a->i[i-1] + rowlengths[i-1];
4542     a->ilen[i-1] = rowlengths[i-1];
4543   }
4544   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
4545 
4546   ierr = MatAssemblyBegin(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4547   ierr = MatAssemblyEnd(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4548   PetscFunctionReturn(0);
4549 }
4550 
4551 #undef __FUNCT__
4552 #define __FUNCT__ "MatEqual_SeqAIJ"
4553 PetscErrorCode MatEqual_SeqAIJ(Mat A,Mat B,PetscBool * flg)
4554 {
4555   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*b = (Mat_SeqAIJ*)B->data;
4556   PetscErrorCode ierr;
4557 #if defined(PETSC_USE_COMPLEX)
4558   PetscInt k;
4559 #endif
4560 
4561   PetscFunctionBegin;
4562   /* If the  matrix dimensions are not equal,or no of nonzeros */
4563   if ((A->rmap->n != B->rmap->n) || (A->cmap->n != B->cmap->n) ||(a->nz != b->nz)) {
4564     *flg = PETSC_FALSE;
4565     PetscFunctionReturn(0);
4566   }
4567 
4568   /* if the a->i are the same */
4569   ierr = PetscMemcmp(a->i,b->i,(A->rmap->n+1)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4570   if (!*flg) PetscFunctionReturn(0);
4571 
4572   /* if a->j are the same */
4573   ierr = PetscMemcmp(a->j,b->j,(a->nz)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4574   if (!*flg) PetscFunctionReturn(0);
4575 
4576   /* if a->a are the same */
4577 #if defined(PETSC_USE_COMPLEX)
4578   for (k=0; k<a->nz; k++) {
4579     if (PetscRealPart(a->a[k]) != PetscRealPart(b->a[k]) || PetscImaginaryPart(a->a[k]) != PetscImaginaryPart(b->a[k])) {
4580       *flg = PETSC_FALSE;
4581       PetscFunctionReturn(0);
4582     }
4583   }
4584 #else
4585   ierr = PetscMemcmp(a->a,b->a,(a->nz)*sizeof(PetscScalar),flg);CHKERRQ(ierr);
4586 #endif
4587   PetscFunctionReturn(0);
4588 }
4589 
4590 #undef __FUNCT__
4591 #define __FUNCT__ "MatCreateSeqAIJWithArrays"
4592 /*@
4593      MatCreateSeqAIJWithArrays - Creates an sequential AIJ matrix using matrix elements (in CSR format)
4594               provided by the user.
4595 
4596       Collective on MPI_Comm
4597 
4598    Input Parameters:
4599 +   comm - must be an MPI communicator of size 1
4600 .   m - number of rows
4601 .   n - number of columns
4602 .   i - row indices
4603 .   j - column indices
4604 -   a - matrix values
4605 
4606    Output Parameter:
4607 .   mat - the matrix
4608 
4609    Level: intermediate
4610 
4611    Notes:
4612        The i, j, and a arrays are not copied by this routine, the user must free these arrays
4613     once the matrix is destroyed and not before
4614 
4615        You cannot set new nonzero locations into this matrix, that will generate an error.
4616 
4617        The i and j indices are 0 based
4618 
4619        The format which is used for the sparse matrix input, is equivalent to a
4620     row-major ordering.. i.e for the following matrix, the input data expected is
4621     as shown:
4622 
4623         1 0 0
4624         2 0 3
4625         4 5 6
4626 
4627         i =  {0,1,3,6}  [size = nrow+1  = 3+1]
4628         j =  {0,0,2,0,1,2}  [size = nz = 6]; values must be sorted for each row
4629         v =  {1,2,3,4,5,6}  [size = nz = 6]
4630 
4631 
4632 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateMPIAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4633 
4634 @*/
4635 PetscErrorCode  MatCreateSeqAIJWithArrays(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt *i,PetscInt *j,PetscScalar *a,Mat *mat)
4636 {
4637   PetscErrorCode ierr;
4638   PetscInt       ii;
4639   Mat_SeqAIJ     *aij;
4640 #if defined(PETSC_USE_DEBUG)
4641   PetscInt jj;
4642 #endif
4643 
4644   PetscFunctionBegin;
4645   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
4646   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4647   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4648   /* ierr = MatSetBlockSizes(*mat,,);CHKERRQ(ierr); */
4649   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4650   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
4651   aij  = (Mat_SeqAIJ*)(*mat)->data;
4652   ierr = PetscMalloc2(m,PetscInt,&aij->imax,m,PetscInt,&aij->ilen);CHKERRQ(ierr);
4653 
4654   aij->i            = i;
4655   aij->j            = j;
4656   aij->a            = a;
4657   aij->singlemalloc = PETSC_FALSE;
4658   aij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
4659   aij->free_a       = PETSC_FALSE;
4660   aij->free_ij      = PETSC_FALSE;
4661 
4662   for (ii=0; ii<m; ii++) {
4663     aij->ilen[ii] = aij->imax[ii] = i[ii+1] - i[ii];
4664 #if defined(PETSC_USE_DEBUG)
4665     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]);
4666     for (jj=i[ii]+1; jj<i[ii+1]; jj++) {
4667       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);
4668       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);
4669     }
4670 #endif
4671   }
4672 #if defined(PETSC_USE_DEBUG)
4673   for (ii=0; ii<aij->i[m]; ii++) {
4674     if (j[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %d index = %d",ii,j[ii]);
4675     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]);
4676   }
4677 #endif
4678 
4679   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4680   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4681   PetscFunctionReturn(0);
4682 }
4683 #undef __FUNCT__
4684 #define __FUNCT__ "MatCreateSeqAIJFromTriple"
4685 /*@C
4686      MatCreateSeqAIJFromTriple - Creates an sequential AIJ matrix using matrix elements (in COO format)
4687               provided by the user.
4688 
4689       Collective on MPI_Comm
4690 
4691    Input Parameters:
4692 +   comm - must be an MPI communicator of size 1
4693 .   m   - number of rows
4694 .   n   - number of columns
4695 .   i   - row indices
4696 .   j   - column indices
4697 .   a   - matrix values
4698 .   nz  - number of nonzeros
4699 -   idx - 0 or 1 based
4700 
4701    Output Parameter:
4702 .   mat - the matrix
4703 
4704    Level: intermediate
4705 
4706    Notes:
4707        The i and j indices are 0 based
4708 
4709        The format which is used for the sparse matrix input, is equivalent to a
4710     row-major ordering.. i.e for the following matrix, the input data expected is
4711     as shown:
4712 
4713         1 0 0
4714         2 0 3
4715         4 5 6
4716 
4717         i =  {0,1,1,2,2,2}
4718         j =  {0,0,2,0,1,2}
4719         v =  {1,2,3,4,5,6}
4720 
4721 
4722 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateSeqAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4723 
4724 @*/
4725 PetscErrorCode  MatCreateSeqAIJFromTriple(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt *i,PetscInt *j,PetscScalar *a,Mat *mat,PetscInt nz,PetscBool idx)
4726 {
4727   PetscErrorCode ierr;
4728   PetscInt       ii, *nnz, one = 1,row,col;
4729 
4730 
4731   PetscFunctionBegin;
4732   ierr = PetscMalloc(m*sizeof(PetscInt),&nnz);CHKERRQ(ierr);
4733   ierr = PetscMemzero(nnz,m*sizeof(PetscInt));CHKERRQ(ierr);
4734   for (ii = 0; ii < nz; ii++) {
4735     nnz[i[ii]] += 1;
4736   }
4737   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4738   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4739   /* ierr = MatSetBlockSizes(*mat,,);CHKERRQ(ierr); */
4740   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4741   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,0,nnz);CHKERRQ(ierr);
4742   for (ii = 0; ii < nz; ii++) {
4743     if (idx) {
4744       row = i[ii] - 1;
4745       col = j[ii] - 1;
4746     } else {
4747       row = i[ii];
4748       col = j[ii];
4749     }
4750     ierr = MatSetValues(*mat,one,&row,one,&col,&a[ii],ADD_VALUES);CHKERRQ(ierr);
4751   }
4752   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4753   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4754   ierr = PetscFree(nnz);CHKERRQ(ierr);
4755   PetscFunctionReturn(0);
4756 }
4757 
4758 #undef __FUNCT__
4759 #define __FUNCT__ "MatSetColoring_SeqAIJ"
4760 PetscErrorCode MatSetColoring_SeqAIJ(Mat A,ISColoring coloring)
4761 {
4762   PetscErrorCode ierr;
4763   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
4764 
4765   PetscFunctionBegin;
4766   if (coloring->ctype == IS_COLORING_GLOBAL) {
4767     ierr        = ISColoringReference(coloring);CHKERRQ(ierr);
4768     a->coloring = coloring;
4769   } else if (coloring->ctype == IS_COLORING_GHOSTED) {
4770     PetscInt        i,*larray;
4771     ISColoring      ocoloring;
4772     ISColoringValue *colors;
4773 
4774     /* set coloring for diagonal portion */
4775     ierr = PetscMalloc(A->cmap->n*sizeof(PetscInt),&larray);CHKERRQ(ierr);
4776     for (i=0; i<A->cmap->n; i++) larray[i] = i;
4777     ierr = ISGlobalToLocalMappingApply(A->cmap->mapping,IS_GTOLM_MASK,A->cmap->n,larray,NULL,larray);CHKERRQ(ierr);
4778     ierr = PetscMalloc(A->cmap->n*sizeof(ISColoringValue),&colors);CHKERRQ(ierr);
4779     for (i=0; i<A->cmap->n; i++) colors[i] = coloring->colors[larray[i]];
4780     ierr        = PetscFree(larray);CHKERRQ(ierr);
4781     ierr        = ISColoringCreate(PETSC_COMM_SELF,coloring->n,A->cmap->n,colors,&ocoloring);CHKERRQ(ierr);
4782     a->coloring = ocoloring;
4783   }
4784   PetscFunctionReturn(0);
4785 }
4786 
4787 #undef __FUNCT__
4788 #define __FUNCT__ "MatSetValuesAdifor_SeqAIJ"
4789 PetscErrorCode MatSetValuesAdifor_SeqAIJ(Mat A,PetscInt nl,void *advalues)
4790 {
4791   Mat_SeqAIJ      *a      = (Mat_SeqAIJ*)A->data;
4792   PetscInt        m       = A->rmap->n,*ii = a->i,*jj = a->j,nz,i,j;
4793   MatScalar       *v      = a->a;
4794   PetscScalar     *values = (PetscScalar*)advalues;
4795   ISColoringValue *color;
4796 
4797   PetscFunctionBegin;
4798   if (!a->coloring) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Coloring not set for matrix");
4799   color = a->coloring->colors;
4800   /* loop over rows */
4801   for (i=0; i<m; i++) {
4802     nz = ii[i+1] - ii[i];
4803     /* loop over columns putting computed value into matrix */
4804     for (j=0; j<nz; j++) *v++ = values[color[*jj++]];
4805     values += nl; /* jump to next row of derivatives */
4806   }
4807   PetscFunctionReturn(0);
4808 }
4809 
4810 #undef __FUNCT__
4811 #define __FUNCT__ "MatSeqAIJInvalidateDiagonal"
4812 PetscErrorCode MatSeqAIJInvalidateDiagonal(Mat A)
4813 {
4814   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data;
4815   PetscErrorCode ierr;
4816 
4817   PetscFunctionBegin;
4818   a->idiagvalid  = PETSC_FALSE;
4819   a->ibdiagvalid = PETSC_FALSE;
4820 
4821   ierr = MatSeqAIJInvalidateDiagonal_Inode(A);CHKERRQ(ierr);
4822   PetscFunctionReturn(0);
4823 }
4824 
4825 /*
4826     Special version for direct calls from Fortran
4827 */
4828 #include <petsc-private/fortranimpl.h>
4829 #if defined(PETSC_HAVE_FORTRAN_CAPS)
4830 #define matsetvaluesseqaij_ MATSETVALUESSEQAIJ
4831 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
4832 #define matsetvaluesseqaij_ matsetvaluesseqaij
4833 #endif
4834 
4835 /* Change these macros so can be used in void function */
4836 #undef CHKERRQ
4837 #define CHKERRQ(ierr) CHKERRABORT(PetscObjectComm((PetscObject)A),ierr)
4838 #undef SETERRQ2
4839 #define SETERRQ2(comm,ierr,b,c,d) CHKERRABORT(comm,ierr)
4840 #undef SETERRQ3
4841 #define SETERRQ3(comm,ierr,b,c,d,e) CHKERRABORT(comm,ierr)
4842 
4843 #undef __FUNCT__
4844 #define __FUNCT__ "matsetvaluesseqaij_"
4845 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)
4846 {
4847   Mat            A  = *AA;
4848   PetscInt       m  = *mm, n = *nn;
4849   InsertMode     is = *isis;
4850   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
4851   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
4852   PetscInt       *imax,*ai,*ailen;
4853   PetscErrorCode ierr;
4854   PetscInt       *aj,nonew = a->nonew,lastcol = -1;
4855   MatScalar      *ap,value,*aa;
4856   PetscBool      ignorezeroentries = a->ignorezeroentries;
4857   PetscBool      roworiented       = a->roworiented;
4858 
4859   PetscFunctionBegin;
4860   MatCheckPreallocated(A,1);
4861   imax  = a->imax;
4862   ai    = a->i;
4863   ailen = a->ilen;
4864   aj    = a->j;
4865   aa    = a->a;
4866 
4867   for (k=0; k<m; k++) { /* loop over added rows */
4868     row = im[k];
4869     if (row < 0) continue;
4870 #if defined(PETSC_USE_DEBUG)
4871     if (row >= A->rmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Row too large");
4872 #endif
4873     rp   = aj + ai[row]; ap = aa + ai[row];
4874     rmax = imax[row]; nrow = ailen[row];
4875     low  = 0;
4876     high = nrow;
4877     for (l=0; l<n; l++) { /* loop over added columns */
4878       if (in[l] < 0) continue;
4879 #if defined(PETSC_USE_DEBUG)
4880       if (in[l] >= A->cmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Column too large");
4881 #endif
4882       col = in[l];
4883       if (roworiented) value = v[l + k*n];
4884       else value = v[k + l*m];
4885 
4886       if (value == 0.0 && ignorezeroentries && (is == ADD_VALUES)) continue;
4887 
4888       if (col <= lastcol) low = 0;
4889       else high = nrow;
4890       lastcol = col;
4891       while (high-low > 5) {
4892         t = (low+high)/2;
4893         if (rp[t] > col) high = t;
4894         else             low  = t;
4895       }
4896       for (i=low; i<high; i++) {
4897         if (rp[i] > col) break;
4898         if (rp[i] == col) {
4899           if (is == ADD_VALUES) ap[i] += value;
4900           else                  ap[i] = value;
4901           goto noinsert;
4902         }
4903       }
4904       if (value == 0.0 && ignorezeroentries) goto noinsert;
4905       if (nonew == 1) goto noinsert;
4906       if (nonew == -1) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero in the matrix");
4907       MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
4908       N = nrow++ - 1; a->nz++; high++;
4909       /* shift up all the later entries in this row */
4910       for (ii=N; ii>=i; ii--) {
4911         rp[ii+1] = rp[ii];
4912         ap[ii+1] = ap[ii];
4913       }
4914       rp[i] = col;
4915       ap[i] = value;
4916 noinsert:;
4917       low = i + 1;
4918     }
4919     ailen[row] = nrow;
4920   }
4921   A->same_nonzero = PETSC_FALSE;
4922   PetscFunctionReturnVoid();
4923 }
4924 
4925 
4926