xref: /petsc/src/mat/impls/aij/seq/aij.c (revision 7cee066c24367720d931b33c41dfc5aaad322f9c)
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 /*---------------------------------------------*/
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 #if defined(JACOBIANCOLOROPT)
2740   PetscLogDouble t0,t1,time_setvalues=0.0;
2741 #endif
2742 
2743   PetscFunctionBegin;
2744   PetscValidHeaderSpecific(J,MAT_CLASSID,1);
2745   PetscValidHeaderSpecific(coloring,MAT_FDCOLORING_CLASSID,2);
2746   PetscValidHeaderSpecific(x1,VEC_CLASSID,3);
2747   if (!f) SETERRQ(PetscObjectComm((PetscObject)J),PETSC_ERR_ARG_WRONGSTATE,"Must call MatFDColoringSetFunction()");
2748 
2749   ierr = PetscLogEventBegin(MAT_FDColoringApply,coloring,J,x1,0);CHKERRQ(ierr);
2750   ierr = MatSetUnfactored(J);CHKERRQ(ierr);
2751   ierr = PetscOptionsGetBool(NULL,"-mat_fd_coloring_dont_rezero",&flg,NULL);CHKERRQ(ierr);
2752   if (flg) {
2753     ierr = PetscInfo(coloring,"Not calling MatZeroEntries()\n");CHKERRQ(ierr);
2754   } else {
2755     PetscBool assembled;
2756     ierr = MatAssembled(J,&assembled);CHKERRQ(ierr);
2757     if (assembled) {
2758       ierr = MatZeroEntries(J);CHKERRQ(ierr);
2759     }
2760   }
2761 
2762   x1_tmp = x1;
2763   if (!coloring->vscale) {
2764     ierr = VecDuplicate(x1_tmp,&coloring->vscale);CHKERRQ(ierr);
2765   }
2766 
2767   if (coloring->htype[0] == 'w') { /* tacky test; need to make systematic if we add other approaches to computing h*/
2768     ierr = VecNorm(x1_tmp,NORM_2,&unorm);CHKERRQ(ierr);
2769   }
2770   ierr = VecGetOwnershipRange(w1,&start,&end);CHKERRQ(ierr); /* OwnershipRange is used by ghosted x! */
2771 
2772   /* Set w1 = F(x1) */
2773   if (!coloring->fset) {
2774     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2775     ierr = (*f)(sctx,x1_tmp,w1,fctx);CHKERRQ(ierr);
2776     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2777   } else {
2778     coloring->fset = PETSC_FALSE;
2779   }
2780 
2781   if (!coloring->w3) {
2782     ierr = VecDuplicate(x1_tmp,&coloring->w3);CHKERRQ(ierr);
2783     ierr = PetscLogObjectParent((PetscObject)coloring,(PetscObject)coloring->w3);CHKERRQ(ierr);
2784   }
2785   w3 = coloring->w3;
2786 
2787   /* Compute all the local scale factors, including ghost points */
2788   ierr = VecGetLocalSize(x1_tmp,&N);CHKERRQ(ierr);
2789   ierr = VecGetArray(x1_tmp,&xx);CHKERRQ(ierr);
2790   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2791   if (ctype == IS_COLORING_GHOSTED) {
2792     col_start = 0; col_end = N;
2793   } else if (ctype == IS_COLORING_GLOBAL) {
2794     xx           = xx - start;
2795     vscale_array = vscale_array - start;
2796     col_start    = start; col_end = N + start;
2797   }
2798   for (col=col_start; col<col_end; col++) {
2799     /* Loop over each local column, vscale[col] = 1./(epsilon*dx[col]) */
2800     if (coloring->htype[0] == 'w') {
2801       dx = 1.0 + unorm;
2802     } else {
2803       dx = xx[col];
2804     }
2805     if (dx == (PetscScalar)0.0) dx = 1.0;
2806     if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2807     else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2808     dx               *= epsilon;
2809     vscale_array[col] = (PetscScalar)1.0/dx;
2810   }
2811   if (ctype == IS_COLORING_GLOBAL) vscale_array = vscale_array + start;
2812   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2813   if (ctype == IS_COLORING_GLOBAL) {
2814     ierr = VecGhostUpdateBegin(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2815     ierr = VecGhostUpdateEnd(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2816   }
2817 
2818   if (coloring->vscaleforrow) {
2819     vscaleforrow = coloring->vscaleforrow;
2820   } else SETERRQ(PetscObjectComm((PetscObject)J),PETSC_ERR_ARG_NULL,"Null Object: coloring->vscaleforrow");
2821 
2822   /*
2823     Loop over each color
2824   */
2825   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2826   for (k=0; k<coloring->ncolors; k++) { /* loop over colors */
2827     coloring->currentcolor = k;
2828 
2829     ierr = VecCopy(x1_tmp,w3);CHKERRQ(ierr);
2830     ierr = VecGetArray(w3,&w3_array);CHKERRQ(ierr);
2831     if (ctype == IS_COLORING_GLOBAL) w3_array = w3_array - start;
2832     /*
2833       Loop over each column associated with color
2834       adding the perturbation to the vector w3.
2835     */
2836     for (l=0; l<coloring->ncolumns[k]; l++) { /* loop over columns */
2837       col = coloring->columns[k][l];    /* local column of the matrix we are probing for */
2838       if (coloring->htype[0] == 'w') {
2839         dx = 1.0 + unorm;
2840       } else {
2841         dx = xx[col];
2842       }
2843       if (dx == (PetscScalar)0.0) dx = 1.0;
2844       if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2845       else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2846       dx            *= epsilon;
2847       if (!PetscAbsScalar(dx)) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Computed 0 differencing parameter");
2848       w3_array[col] += dx;
2849     }
2850     if (ctype == IS_COLORING_GLOBAL) w3_array = w3_array + start;
2851     ierr = VecRestoreArray(w3,&w3_array);CHKERRQ(ierr);
2852 
2853     /*
2854       Evaluate function at w3 = x1 + dx (here dx is a vector of perturbations)
2855                            w2 = F(x1 + dx) - F(x1)
2856     */
2857     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2858     ierr = (*f)(sctx,w3,w2,fctx);CHKERRQ(ierr);
2859     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2860     ierr = VecAXPY(w2,-1.0,w1);CHKERRQ(ierr);
2861 
2862     /*
2863       Loop over rows of vector, putting results into Jacobian matrix
2864     */
2865 #if defined(JACOBIANCOLOROPT)
2866     ierr = PetscTime(&t0);CHKERRQ(ierr);
2867 #endif
2868     ierr = VecGetArray(w2,&y);CHKERRQ(ierr);
2869     for (l=0; l<coloring->nrows[k]; l++) { /* loop over rows */
2870       row     = coloring->rows[k][l];            /* local row index */
2871       y[row] *= vscale_array[vscaleforrow[k][l]];
2872       ca[idx[l]] = y[row];
2873     }
2874     idx = idx + coloring->nrows[k];
2875     ierr = VecRestoreArray(w2,&y);CHKERRQ(ierr);
2876 #if defined(JACOBIANCOLOROPT)
2877     ierr = PetscTime(&t1);CHKERRQ(ierr);
2878     time_setvalues += t1-t0;
2879 #endif
2880   } /* endof for each color */
2881 #if defined(JACOBIANCOLOROPT)
2882   printf("     MatFDColoringApply_SeqAIJ: time_setvalues %g\n",time_setvalues);
2883 #endif
2884   if (ctype == IS_COLORING_GLOBAL) xx = xx + start;
2885   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2886   ierr = VecRestoreArray(x1_tmp,&xx);CHKERRQ(ierr);
2887 
2888   coloring->currentcolor = -1;
2889   ierr = PetscLogEventEnd(MAT_FDColoringApply,coloring,J,x1,0);CHKERRQ(ierr);
2890   PetscFunctionReturn(0);
2891 }
2892 /* --------------------------------------------------------*/
2893 
2894 #undef __FUNCT__
2895 #define __FUNCT__ "MatFDColoringApply_SeqAIJ_old"
2896 PetscErrorCode MatFDColoringApply_SeqAIJ_old(Mat J,MatFDColoring coloring,Vec x1,MatStructure *flag,void *sctx)
2897 {
2898   PetscErrorCode (*f)(void*,Vec,Vec,void*) = (PetscErrorCode (*)(void*,Vec,Vec,void*))coloring->f;
2899   PetscErrorCode ierr;
2900   PetscInt       k,N,start,end,l,row,col,srow,**vscaleforrow;
2901   PetscScalar    dx,*y,*xx,*w3_array;
2902   PetscScalar    *vscale_array;
2903   PetscReal      epsilon = coloring->error_rel,umin = coloring->umin;
2904   Vec            w1,w2,w3;
2905   void           *fctx = coloring->fctx;
2906   PetscBool      flg   = PETSC_FALSE;
2907 
2908   PetscFunctionBegin;
2909   printf("MatFDColoringApply_SeqAIJ ...\n");
2910   if (!coloring->w1) {
2911     ierr = VecDuplicate(x1,&coloring->w1);CHKERRQ(ierr);
2912     ierr = PetscLogObjectParent((PetscObject)coloring,(PetscObject)coloring->w1);CHKERRQ(ierr);
2913     ierr = VecDuplicate(x1,&coloring->w2);CHKERRQ(ierr);
2914     ierr = PetscLogObjectParent((PetscObject)coloring,(PetscObject)coloring->w2);CHKERRQ(ierr);
2915     ierr = VecDuplicate(x1,&coloring->w3);CHKERRQ(ierr);
2916     ierr = PetscLogObjectParent((PetscObject)coloring,(PetscObject)coloring->w3);CHKERRQ(ierr);
2917   }
2918   w1 = coloring->w1; w2 = coloring->w2; w3 = coloring->w3;
2919 
2920   ierr = MatSetUnfactored(J);CHKERRQ(ierr);
2921   ierr = PetscOptionsGetBool(((PetscObject)coloring)->prefix,"-mat_fd_coloring_dont_rezero",&flg,NULL);CHKERRQ(ierr);
2922   if (flg) {
2923     ierr = PetscInfo(coloring,"Not calling MatZeroEntries()\n");CHKERRQ(ierr);
2924   } else {
2925     PetscBool assembled;
2926     ierr = MatAssembled(J,&assembled);CHKERRQ(ierr);
2927     if (assembled) {
2928       ierr = MatZeroEntries(J);CHKERRQ(ierr);
2929     }
2930   }
2931 
2932   ierr = VecGetOwnershipRange(x1,&start,&end);CHKERRQ(ierr);
2933   ierr = VecGetSize(x1,&N);CHKERRQ(ierr);
2934 
2935   if (!coloring->fset) {
2936     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2937     ierr = (*f)(sctx,x1,w1,fctx);CHKERRQ(ierr);
2938     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2939   } else {
2940     coloring->fset = PETSC_FALSE;
2941   }
2942 
2943   /*
2944       Compute all the scale factors and share with other processors
2945   */
2946   ierr = VecGetArray(x1,&xx);CHKERRQ(ierr);xx = xx - start;
2947   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);vscale_array = vscale_array - start;
2948   for (k=0; k<coloring->ncolors; k++) {
2949     /*
2950        Loop over each column associated with color adding the
2951        perturbation to the vector w3.
2952     */
2953     for (l=0; l<coloring->ncolumns[k]; l++) {
2954       col = coloring->columns[k][l];    /* column of the matrix we are probing for */
2955       dx  = xx[col];
2956       if (dx == 0.0) dx = 1.0;
2957       if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2958       else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2959       dx               *= epsilon;
2960       vscale_array[col] = 1.0/dx;
2961     }
2962   }
2963   vscale_array = vscale_array + start;
2964 
2965   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2966   ierr = VecGhostUpdateBegin(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2967   ierr = VecGhostUpdateEnd(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2968 
2969   /*  ierr = VecView(coloring->vscale,PETSC_VIEWER_STDOUT_WORLD);
2970       ierr = VecView(x1,PETSC_VIEWER_STDOUT_WORLD);*/
2971 
2972   if (coloring->vscaleforrow) vscaleforrow = coloring->vscaleforrow;
2973   else                        vscaleforrow = coloring->columnsforrow;
2974 
2975   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2976   /*
2977       Loop over each color
2978   */
2979   for (k=0; k<coloring->ncolors; k++) {
2980     coloring->currentcolor = k;
2981 
2982     ierr = VecCopy(x1,w3);CHKERRQ(ierr);
2983     ierr = VecGetArray(w3,&w3_array);CHKERRQ(ierr);w3_array = w3_array - start;
2984     /*
2985        Loop over each column associated with color adding the
2986        perturbation to the vector w3.
2987     */
2988     for (l=0; l<coloring->ncolumns[k]; l++) {
2989       col = coloring->columns[k][l];    /* column of the matrix we are probing for */
2990       dx  = xx[col];
2991       if (dx == 0.0) dx = 1.0;
2992       if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2993       else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2994       dx *= epsilon;
2995       if (!PetscAbsScalar(dx)) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Computed 0 differencing parameter");
2996       w3_array[col] += dx;
2997     }
2998     w3_array = w3_array + start; ierr = VecRestoreArray(w3,&w3_array);CHKERRQ(ierr);
2999 
3000     /*
3001        Evaluate function at x1 + dx (here dx is a vector of perturbations)
3002     */
3003 
3004     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
3005     ierr = (*f)(sctx,w3,w2,fctx);CHKERRQ(ierr);
3006     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
3007     ierr = VecAXPY(w2,-1.0,w1);CHKERRQ(ierr);
3008 
3009     /*
3010        Loop over rows of vector, putting results into Jacobian matrix
3011     */
3012     ierr = VecGetArray(w2,&y);CHKERRQ(ierr);
3013     for (l=0; l<coloring->nrows[k]; l++) {
3014       row     = coloring->rows[k][l];
3015       col     = coloring->columnsforrow[k][l];
3016       y[row] *= vscale_array[vscaleforrow[k][l]];
3017       srow    = row + start;
3018       ierr    = MatSetValues_SeqAIJ(J,1,&srow,1,&col,y+row,INSERT_VALUES);CHKERRQ(ierr);
3019     }
3020     ierr = VecRestoreArray(w2,&y);CHKERRQ(ierr);
3021   }
3022   coloring->currentcolor = k;
3023 
3024   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
3025   xx   = xx + start;
3026   ierr = VecRestoreArray(x1,&xx);CHKERRQ(ierr);
3027   ierr = MatAssemblyBegin(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3028   ierr = MatAssemblyEnd(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3029   PetscFunctionReturn(0);
3030 }
3031 
3032 /*
3033    Computes the number of nonzeros per row needed for preallocation when X and Y
3034    have different nonzero structure.
3035 */
3036 #undef __FUNCT__
3037 #define __FUNCT__ "MatAXPYGetPreallocation_SeqAIJ"
3038 PetscErrorCode MatAXPYGetPreallocation_SeqAIJ(Mat Y,Mat X,PetscInt *nnz)
3039 {
3040   PetscInt       i,m=Y->rmap->N;
3041   Mat_SeqAIJ     *x  = (Mat_SeqAIJ*)X->data;
3042   Mat_SeqAIJ     *y  = (Mat_SeqAIJ*)Y->data;
3043   const PetscInt *xi = x->i,*yi = y->i;
3044 
3045   PetscFunctionBegin;
3046   /* Set the number of nonzeros in the new matrix */
3047   for (i=0; i<m; i++) {
3048     PetscInt       j,k,nzx = xi[i+1] - xi[i],nzy = yi[i+1] - yi[i];
3049     const PetscInt *xj = x->j+xi[i],*yj = y->j+yi[i];
3050     nnz[i] = 0;
3051     for (j=0,k=0; j<nzx; j++) {                   /* Point in X */
3052       for (; k<nzy && yj[k]<xj[j]; k++) nnz[i]++; /* Catch up to X */
3053       if (k<nzy && yj[k]==xj[j]) k++;             /* Skip duplicate */
3054       nnz[i]++;
3055     }
3056     for (; k<nzy; k++) nnz[i]++;
3057   }
3058   PetscFunctionReturn(0);
3059 }
3060 
3061 #undef __FUNCT__
3062 #define __FUNCT__ "MatAXPY_SeqAIJ"
3063 PetscErrorCode MatAXPY_SeqAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
3064 {
3065   PetscErrorCode ierr;
3066   PetscInt       i;
3067   Mat_SeqAIJ     *x = (Mat_SeqAIJ*)X->data,*y = (Mat_SeqAIJ*)Y->data;
3068   PetscBLASInt   one=1,bnz;
3069 
3070   PetscFunctionBegin;
3071   ierr = PetscBLASIntCast(x->nz,&bnz);CHKERRQ(ierr);
3072   if (str == SAME_NONZERO_PATTERN) {
3073     PetscScalar alpha = a;
3074     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
3075     ierr = MatSeqAIJInvalidateDiagonal(Y);CHKERRQ(ierr);
3076   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
3077     if (y->xtoy && y->XtoY != X) {
3078       ierr = PetscFree(y->xtoy);CHKERRQ(ierr);
3079       ierr = MatDestroy(&y->XtoY);CHKERRQ(ierr);
3080     }
3081     if (!y->xtoy) { /* get xtoy */
3082       ierr    = MatAXPYGetxtoy_Private(X->rmap->n,x->i,x->j,NULL, y->i,y->j,NULL, &y->xtoy);CHKERRQ(ierr);
3083       y->XtoY = X;
3084       ierr    = PetscObjectReference((PetscObject)X);CHKERRQ(ierr);
3085     }
3086     for (i=0; i<x->nz; i++) y->a[y->xtoy[i]] += a*(x->a[i]);
3087     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);
3088   } else {
3089     Mat      B;
3090     PetscInt *nnz;
3091     ierr = PetscMalloc(Y->rmap->N*sizeof(PetscInt),&nnz);CHKERRQ(ierr);
3092     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
3093     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
3094     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
3095     ierr = MatSetBlockSizes(B,Y->rmap->bs,Y->cmap->bs);CHKERRQ(ierr);
3096     ierr = MatSetType(B,(MatType) ((PetscObject)Y)->type_name);CHKERRQ(ierr);
3097     ierr = MatAXPYGetPreallocation_SeqAIJ(Y,X,nnz);CHKERRQ(ierr);
3098     ierr = MatSeqAIJSetPreallocation(B,0,nnz);CHKERRQ(ierr);
3099     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
3100     ierr = MatHeaderReplace(Y,B);CHKERRQ(ierr);
3101     ierr = PetscFree(nnz);CHKERRQ(ierr);
3102   }
3103   PetscFunctionReturn(0);
3104 }
3105 
3106 #undef __FUNCT__
3107 #define __FUNCT__ "MatConjugate_SeqAIJ"
3108 PetscErrorCode  MatConjugate_SeqAIJ(Mat mat)
3109 {
3110 #if defined(PETSC_USE_COMPLEX)
3111   Mat_SeqAIJ  *aij = (Mat_SeqAIJ*)mat->data;
3112   PetscInt    i,nz;
3113   PetscScalar *a;
3114 
3115   PetscFunctionBegin;
3116   nz = aij->nz;
3117   a  = aij->a;
3118   for (i=0; i<nz; i++) a[i] = PetscConj(a[i]);
3119 #else
3120   PetscFunctionBegin;
3121 #endif
3122   PetscFunctionReturn(0);
3123 }
3124 
3125 #undef __FUNCT__
3126 #define __FUNCT__ "MatGetRowMaxAbs_SeqAIJ"
3127 PetscErrorCode MatGetRowMaxAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
3128 {
3129   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3130   PetscErrorCode ierr;
3131   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
3132   PetscReal      atmp;
3133   PetscScalar    *x;
3134   MatScalar      *aa;
3135 
3136   PetscFunctionBegin;
3137   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3138   aa = a->a;
3139   ai = a->i;
3140   aj = a->j;
3141 
3142   ierr = VecSet(v,0.0);CHKERRQ(ierr);
3143   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
3144   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
3145   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
3146   for (i=0; i<m; i++) {
3147     ncols = ai[1] - ai[0]; ai++;
3148     x[i]  = 0.0;
3149     for (j=0; j<ncols; j++) {
3150       atmp = PetscAbsScalar(*aa);
3151       if (PetscAbsScalar(x[i]) < atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
3152       aa++; aj++;
3153     }
3154   }
3155   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
3156   PetscFunctionReturn(0);
3157 }
3158 
3159 #undef __FUNCT__
3160 #define __FUNCT__ "MatGetRowMax_SeqAIJ"
3161 PetscErrorCode MatGetRowMax_SeqAIJ(Mat A,Vec v,PetscInt idx[])
3162 {
3163   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3164   PetscErrorCode ierr;
3165   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
3166   PetscScalar    *x;
3167   MatScalar      *aa;
3168 
3169   PetscFunctionBegin;
3170   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3171   aa = a->a;
3172   ai = a->i;
3173   aj = a->j;
3174 
3175   ierr = VecSet(v,0.0);CHKERRQ(ierr);
3176   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
3177   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
3178   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
3179   for (i=0; i<m; i++) {
3180     ncols = ai[1] - ai[0]; ai++;
3181     if (ncols == A->cmap->n) { /* row is dense */
3182       x[i] = *aa; if (idx) idx[i] = 0;
3183     } else {  /* row is sparse so already KNOW maximum is 0.0 or higher */
3184       x[i] = 0.0;
3185       if (idx) {
3186         idx[i] = 0; /* in case ncols is zero */
3187         for (j=0;j<ncols;j++) { /* find first implicit 0.0 in the row */
3188           if (aj[j] > j) {
3189             idx[i] = j;
3190             break;
3191           }
3192         }
3193       }
3194     }
3195     for (j=0; j<ncols; j++) {
3196       if (PetscRealPart(x[i]) < PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
3197       aa++; aj++;
3198     }
3199   }
3200   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
3201   PetscFunctionReturn(0);
3202 }
3203 
3204 #undef __FUNCT__
3205 #define __FUNCT__ "MatGetRowMinAbs_SeqAIJ"
3206 PetscErrorCode MatGetRowMinAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
3207 {
3208   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3209   PetscErrorCode ierr;
3210   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
3211   PetscReal      atmp;
3212   PetscScalar    *x;
3213   MatScalar      *aa;
3214 
3215   PetscFunctionBegin;
3216   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3217   aa = a->a;
3218   ai = a->i;
3219   aj = a->j;
3220 
3221   ierr = VecSet(v,0.0);CHKERRQ(ierr);
3222   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
3223   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
3224   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);
3225   for (i=0; i<m; i++) {
3226     ncols = ai[1] - ai[0]; ai++;
3227     if (ncols) {
3228       /* Get first nonzero */
3229       for (j = 0; j < ncols; j++) {
3230         atmp = PetscAbsScalar(aa[j]);
3231         if (atmp > 1.0e-12) {
3232           x[i] = atmp;
3233           if (idx) idx[i] = aj[j];
3234           break;
3235         }
3236       }
3237       if (j == ncols) {x[i] = PetscAbsScalar(*aa); if (idx) idx[i] = *aj;}
3238     } else {
3239       x[i] = 0.0; if (idx) idx[i] = 0;
3240     }
3241     for (j = 0; j < ncols; j++) {
3242       atmp = PetscAbsScalar(*aa);
3243       if (atmp > 1.0e-12 && PetscAbsScalar(x[i]) > atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
3244       aa++; aj++;
3245     }
3246   }
3247   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
3248   PetscFunctionReturn(0);
3249 }
3250 
3251 #undef __FUNCT__
3252 #define __FUNCT__ "MatGetRowMin_SeqAIJ"
3253 PetscErrorCode MatGetRowMin_SeqAIJ(Mat A,Vec v,PetscInt idx[])
3254 {
3255   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3256   PetscErrorCode ierr;
3257   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
3258   PetscScalar    *x;
3259   MatScalar      *aa;
3260 
3261   PetscFunctionBegin;
3262   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3263   aa = a->a;
3264   ai = a->i;
3265   aj = a->j;
3266 
3267   ierr = VecSet(v,0.0);CHKERRQ(ierr);
3268   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
3269   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
3270   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
3271   for (i=0; i<m; i++) {
3272     ncols = ai[1] - ai[0]; ai++;
3273     if (ncols == A->cmap->n) { /* row is dense */
3274       x[i] = *aa; if (idx) idx[i] = 0;
3275     } else {  /* row is sparse so already KNOW minimum is 0.0 or lower */
3276       x[i] = 0.0;
3277       if (idx) {   /* find first implicit 0.0 in the row */
3278         idx[i] = 0; /* in case ncols is zero */
3279         for (j=0; j<ncols; j++) {
3280           if (aj[j] > j) {
3281             idx[i] = j;
3282             break;
3283           }
3284         }
3285       }
3286     }
3287     for (j=0; j<ncols; j++) {
3288       if (PetscRealPart(x[i]) > PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
3289       aa++; aj++;
3290     }
3291   }
3292   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
3293   PetscFunctionReturn(0);
3294 }
3295 
3296 #include <petscblaslapack.h>
3297 #include <petsc-private/kernels/blockinvert.h>
3298 
3299 #undef __FUNCT__
3300 #define __FUNCT__ "MatInvertBlockDiagonal_SeqAIJ"
3301 PetscErrorCode  MatInvertBlockDiagonal_SeqAIJ(Mat A,const PetscScalar **values)
3302 {
3303   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
3304   PetscErrorCode ierr;
3305   PetscInt       i,bs = A->rmap->bs,mbs = A->rmap->n/A->rmap->bs,ipvt[5],bs2 = bs*bs,*v_pivots,ij[7],*IJ,j;
3306   MatScalar      *diag,work[25],*v_work;
3307   PetscReal      shift = 0.0;
3308 
3309   PetscFunctionBegin;
3310   if (a->ibdiagvalid) {
3311     if (values) *values = a->ibdiag;
3312     PetscFunctionReturn(0);
3313   }
3314   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
3315   if (!a->ibdiag) {
3316     ierr = PetscMalloc(bs2*mbs*sizeof(PetscScalar),&a->ibdiag);CHKERRQ(ierr);
3317     ierr = PetscLogObjectMemory((PetscObject)A,bs2*mbs*sizeof(PetscScalar));CHKERRQ(ierr);
3318   }
3319   diag = a->ibdiag;
3320   if (values) *values = a->ibdiag;
3321   /* factor and invert each block */
3322   switch (bs) {
3323   case 1:
3324     for (i=0; i<mbs; i++) {
3325       ierr    = MatGetValues(A,1,&i,1,&i,diag+i);CHKERRQ(ierr);
3326       diag[i] = (PetscScalar)1.0 / (diag[i] + shift);
3327     }
3328     break;
3329   case 2:
3330     for (i=0; i<mbs; i++) {
3331       ij[0] = 2*i; ij[1] = 2*i + 1;
3332       ierr  = MatGetValues(A,2,ij,2,ij,diag);CHKERRQ(ierr);
3333       ierr  = PetscKernel_A_gets_inverse_A_2(diag,shift);CHKERRQ(ierr);
3334       ierr  = PetscKernel_A_gets_transpose_A_2(diag);CHKERRQ(ierr);
3335       diag += 4;
3336     }
3337     break;
3338   case 3:
3339     for (i=0; i<mbs; i++) {
3340       ij[0] = 3*i; ij[1] = 3*i + 1; ij[2] = 3*i + 2;
3341       ierr  = MatGetValues(A,3,ij,3,ij,diag);CHKERRQ(ierr);
3342       ierr  = PetscKernel_A_gets_inverse_A_3(diag,shift);CHKERRQ(ierr);
3343       ierr  = PetscKernel_A_gets_transpose_A_3(diag);CHKERRQ(ierr);
3344       diag += 9;
3345     }
3346     break;
3347   case 4:
3348     for (i=0; i<mbs; i++) {
3349       ij[0] = 4*i; ij[1] = 4*i + 1; ij[2] = 4*i + 2; ij[3] = 4*i + 3;
3350       ierr  = MatGetValues(A,4,ij,4,ij,diag);CHKERRQ(ierr);
3351       ierr  = PetscKernel_A_gets_inverse_A_4(diag,shift);CHKERRQ(ierr);
3352       ierr  = PetscKernel_A_gets_transpose_A_4(diag);CHKERRQ(ierr);
3353       diag += 16;
3354     }
3355     break;
3356   case 5:
3357     for (i=0; i<mbs; i++) {
3358       ij[0] = 5*i; ij[1] = 5*i + 1; ij[2] = 5*i + 2; ij[3] = 5*i + 3; ij[4] = 5*i + 4;
3359       ierr  = MatGetValues(A,5,ij,5,ij,diag);CHKERRQ(ierr);
3360       ierr  = PetscKernel_A_gets_inverse_A_5(diag,ipvt,work,shift);CHKERRQ(ierr);
3361       ierr  = PetscKernel_A_gets_transpose_A_5(diag);CHKERRQ(ierr);
3362       diag += 25;
3363     }
3364     break;
3365   case 6:
3366     for (i=0; i<mbs; i++) {
3367       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;
3368       ierr  = MatGetValues(A,6,ij,6,ij,diag);CHKERRQ(ierr);
3369       ierr  = PetscKernel_A_gets_inverse_A_6(diag,shift);CHKERRQ(ierr);
3370       ierr  = PetscKernel_A_gets_transpose_A_6(diag);CHKERRQ(ierr);
3371       diag += 36;
3372     }
3373     break;
3374   case 7:
3375     for (i=0; i<mbs; i++) {
3376       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;
3377       ierr  = MatGetValues(A,7,ij,7,ij,diag);CHKERRQ(ierr);
3378       ierr  = PetscKernel_A_gets_inverse_A_7(diag,shift);CHKERRQ(ierr);
3379       ierr  = PetscKernel_A_gets_transpose_A_7(diag);CHKERRQ(ierr);
3380       diag += 49;
3381     }
3382     break;
3383   default:
3384     ierr = PetscMalloc3(bs,MatScalar,&v_work,bs,PetscInt,&v_pivots,bs,PetscInt,&IJ);CHKERRQ(ierr);
3385     for (i=0; i<mbs; i++) {
3386       for (j=0; j<bs; j++) {
3387         IJ[j] = bs*i + j;
3388       }
3389       ierr  = MatGetValues(A,bs,IJ,bs,IJ,diag);CHKERRQ(ierr);
3390       ierr  = PetscKernel_A_gets_inverse_A(bs,diag,v_pivots,v_work);CHKERRQ(ierr);
3391       ierr  = PetscKernel_A_gets_transpose_A_N(diag,bs);CHKERRQ(ierr);
3392       diag += bs2;
3393     }
3394     ierr = PetscFree3(v_work,v_pivots,IJ);CHKERRQ(ierr);
3395   }
3396   a->ibdiagvalid = PETSC_TRUE;
3397   PetscFunctionReturn(0);
3398 }
3399 
3400 #undef __FUNCT__
3401 #define __FUNCT__ "MatSetRandom_SeqAIJ"
3402 static PetscErrorCode  MatSetRandom_SeqAIJ(Mat x,PetscRandom rctx)
3403 {
3404   PetscErrorCode ierr;
3405   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)x->data;
3406   PetscScalar    a;
3407   PetscInt       m,n,i,j,col;
3408 
3409   PetscFunctionBegin;
3410   if (!x->assembled) {
3411     ierr = MatGetSize(x,&m,&n);CHKERRQ(ierr);
3412     for (i=0; i<m; i++) {
3413       for (j=0; j<aij->imax[i]; j++) {
3414         ierr = PetscRandomGetValue(rctx,&a);CHKERRQ(ierr);
3415         col  = (PetscInt)(n*PetscRealPart(a));
3416         ierr = MatSetValues(x,1,&i,1,&col,&a,ADD_VALUES);CHKERRQ(ierr);
3417       }
3418     }
3419   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet coded");
3420   ierr = MatAssemblyBegin(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3421   ierr = MatAssemblyEnd(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3422   PetscFunctionReturn(0);
3423 }
3424 
3425 extern PetscErrorCode  MatFDColoringApply_AIJ(Mat,MatFDColoring,Vec,MatStructure*,void*);
3426 /* -------------------------------------------------------------------*/
3427 static struct _MatOps MatOps_Values = { MatSetValues_SeqAIJ,
3428                                         MatGetRow_SeqAIJ,
3429                                         MatRestoreRow_SeqAIJ,
3430                                         MatMult_SeqAIJ,
3431                                 /*  4*/ MatMultAdd_SeqAIJ,
3432                                         MatMultTranspose_SeqAIJ,
3433                                         MatMultTransposeAdd_SeqAIJ,
3434                                         0,
3435                                         0,
3436                                         0,
3437                                 /* 10*/ 0,
3438                                         MatLUFactor_SeqAIJ,
3439                                         0,
3440                                         MatSOR_SeqAIJ,
3441                                         MatTranspose_SeqAIJ,
3442                                 /*1 5*/ MatGetInfo_SeqAIJ,
3443                                         MatEqual_SeqAIJ,
3444                                         MatGetDiagonal_SeqAIJ,
3445                                         MatDiagonalScale_SeqAIJ,
3446                                         MatNorm_SeqAIJ,
3447                                 /* 20*/ 0,
3448                                         MatAssemblyEnd_SeqAIJ,
3449                                         MatSetOption_SeqAIJ,
3450                                         MatZeroEntries_SeqAIJ,
3451                                 /* 24*/ MatZeroRows_SeqAIJ,
3452                                         0,
3453                                         0,
3454                                         0,
3455                                         0,
3456                                 /* 29*/ MatSetUp_SeqAIJ,
3457                                         0,
3458                                         0,
3459                                         0,
3460                                         0,
3461                                 /* 34*/ MatDuplicate_SeqAIJ,
3462                                         0,
3463                                         0,
3464                                         MatILUFactor_SeqAIJ,
3465                                         0,
3466                                 /* 39*/ MatAXPY_SeqAIJ,
3467                                         MatGetSubMatrices_SeqAIJ,
3468                                         MatIncreaseOverlap_SeqAIJ,
3469                                         MatGetValues_SeqAIJ,
3470                                         MatCopy_SeqAIJ,
3471                                 /* 44*/ MatGetRowMax_SeqAIJ,
3472                                         MatScale_SeqAIJ,
3473                                         0,
3474                                         MatDiagonalSet_SeqAIJ,
3475                                         MatZeroRowsColumns_SeqAIJ,
3476                                 /* 49*/ MatSetRandom_SeqAIJ,
3477                                         MatGetRowIJ_SeqAIJ,
3478                                         MatRestoreRowIJ_SeqAIJ,
3479                                         MatGetColumnIJ_SeqAIJ,
3480                                         MatRestoreColumnIJ_SeqAIJ,
3481                                 /* 54*/ MatFDColoringCreate_SeqAIJ,
3482                                         0,
3483                                         0,
3484                                         MatPermute_SeqAIJ,
3485                                         0,
3486                                 /* 59*/ 0,
3487                                         MatDestroy_SeqAIJ,
3488                                         MatView_SeqAIJ,
3489                                         0,
3490                                         MatMatMatMult_SeqAIJ_SeqAIJ_SeqAIJ,
3491                                 /* 64*/ MatMatMatMultSymbolic_SeqAIJ_SeqAIJ_SeqAIJ,
3492                                         MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqAIJ,
3493                                         0,
3494                                         0,
3495                                         0,
3496                                 /* 69*/ MatGetRowMaxAbs_SeqAIJ,
3497                                         MatGetRowMinAbs_SeqAIJ,
3498                                         0,
3499                                         MatSetColoring_SeqAIJ,
3500                                         0,
3501                                 /* 74*/ MatSetValuesAdifor_SeqAIJ,
3502                                         MatFDColoringApply_AIJ,
3503                                         0,
3504                                         0,
3505                                         0,
3506                                 /* 79*/ MatFindZeroDiagonals_SeqAIJ,
3507                                         0,
3508                                         0,
3509                                         0,
3510                                         MatLoad_SeqAIJ,
3511                                 /* 84*/ MatIsSymmetric_SeqAIJ,
3512                                         MatIsHermitian_SeqAIJ,
3513                                         0,
3514                                         0,
3515                                         0,
3516                                 /* 89*/ MatMatMult_SeqAIJ_SeqAIJ,
3517                                         MatMatMultSymbolic_SeqAIJ_SeqAIJ,
3518                                         MatMatMultNumeric_SeqAIJ_SeqAIJ,
3519                                         MatPtAP_SeqAIJ_SeqAIJ,
3520                                         MatPtAPSymbolic_SeqAIJ_SeqAIJ_DenseAxpy,
3521                                 /* 94*/ MatPtAPNumeric_SeqAIJ_SeqAIJ,
3522                                         MatMatTransposeMult_SeqAIJ_SeqAIJ,
3523                                         MatMatTransposeMultSymbolic_SeqAIJ_SeqAIJ,
3524                                         MatMatTransposeMultNumeric_SeqAIJ_SeqAIJ,
3525                                         0,
3526                                 /* 99*/ 0,
3527                                         0,
3528                                         0,
3529                                         MatConjugate_SeqAIJ,
3530                                         0,
3531                                 /*104*/ MatSetValuesRow_SeqAIJ,
3532                                         MatRealPart_SeqAIJ,
3533                                         MatImaginaryPart_SeqAIJ,
3534                                         0,
3535                                         0,
3536                                 /*109*/ MatMatSolve_SeqAIJ,
3537                                         0,
3538                                         MatGetRowMin_SeqAIJ,
3539                                         0,
3540                                         MatMissingDiagonal_SeqAIJ,
3541                                 /*114*/ 0,
3542                                         0,
3543                                         0,
3544                                         0,
3545                                         0,
3546                                 /*119*/ 0,
3547                                         0,
3548                                         0,
3549                                         0,
3550                                         MatGetMultiProcBlock_SeqAIJ,
3551                                 /*124*/ MatFindNonzeroRows_SeqAIJ,
3552                                         MatGetColumnNorms_SeqAIJ,
3553                                         MatInvertBlockDiagonal_SeqAIJ,
3554                                         0,
3555                                         0,
3556                                 /*129*/ 0,
3557                                         MatTransposeMatMult_SeqAIJ_SeqAIJ,
3558                                         MatTransposeMatMultSymbolic_SeqAIJ_SeqAIJ,
3559                                         MatTransposeMatMultNumeric_SeqAIJ_SeqAIJ,
3560                                         MatTransposeColoringCreate_SeqAIJ,
3561                                 /*134*/ MatTransColoringApplySpToDen_SeqAIJ,
3562                                         MatTransColoringApplyDenToSp_SeqAIJ,
3563                                         MatRARt_SeqAIJ_SeqAIJ,
3564                                         MatRARtSymbolic_SeqAIJ_SeqAIJ,
3565                                         MatRARtNumeric_SeqAIJ_SeqAIJ,
3566                                  /*139*/0,
3567                                         0
3568 };
3569 
3570 #undef __FUNCT__
3571 #define __FUNCT__ "MatSeqAIJSetColumnIndices_SeqAIJ"
3572 PetscErrorCode  MatSeqAIJSetColumnIndices_SeqAIJ(Mat mat,PetscInt *indices)
3573 {
3574   Mat_SeqAIJ *aij = (Mat_SeqAIJ*)mat->data;
3575   PetscInt   i,nz,n;
3576 
3577   PetscFunctionBegin;
3578   nz = aij->maxnz;
3579   n  = mat->rmap->n;
3580   for (i=0; i<nz; i++) {
3581     aij->j[i] = indices[i];
3582   }
3583   aij->nz = nz;
3584   for (i=0; i<n; i++) {
3585     aij->ilen[i] = aij->imax[i];
3586   }
3587   PetscFunctionReturn(0);
3588 }
3589 
3590 #undef __FUNCT__
3591 #define __FUNCT__ "MatSeqAIJSetColumnIndices"
3592 /*@
3593     MatSeqAIJSetColumnIndices - Set the column indices for all the rows
3594        in the matrix.
3595 
3596   Input Parameters:
3597 +  mat - the SeqAIJ matrix
3598 -  indices - the column indices
3599 
3600   Level: advanced
3601 
3602   Notes:
3603     This can be called if you have precomputed the nonzero structure of the
3604   matrix and want to provide it to the matrix object to improve the performance
3605   of the MatSetValues() operation.
3606 
3607     You MUST have set the correct numbers of nonzeros per row in the call to
3608   MatCreateSeqAIJ(), and the columns indices MUST be sorted.
3609 
3610     MUST be called before any calls to MatSetValues();
3611 
3612     The indices should start with zero, not one.
3613 
3614 @*/
3615 PetscErrorCode  MatSeqAIJSetColumnIndices(Mat mat,PetscInt *indices)
3616 {
3617   PetscErrorCode ierr;
3618 
3619   PetscFunctionBegin;
3620   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3621   PetscValidPointer(indices,2);
3622   ierr = PetscUseMethod(mat,"MatSeqAIJSetColumnIndices_C",(Mat,PetscInt*),(mat,indices));CHKERRQ(ierr);
3623   PetscFunctionReturn(0);
3624 }
3625 
3626 /* ----------------------------------------------------------------------------------------*/
3627 
3628 #undef __FUNCT__
3629 #define __FUNCT__ "MatStoreValues_SeqAIJ"
3630 PetscErrorCode  MatStoreValues_SeqAIJ(Mat mat)
3631 {
3632   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3633   PetscErrorCode ierr;
3634   size_t         nz = aij->i[mat->rmap->n];
3635 
3636   PetscFunctionBegin;
3637   if (aij->nonew != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3638 
3639   /* allocate space for values if not already there */
3640   if (!aij->saved_values) {
3641     ierr = PetscMalloc((nz+1)*sizeof(PetscScalar),&aij->saved_values);CHKERRQ(ierr);
3642     ierr = PetscLogObjectMemory((PetscObject)mat,(nz+1)*sizeof(PetscScalar));CHKERRQ(ierr);
3643   }
3644 
3645   /* copy values over */
3646   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3647   PetscFunctionReturn(0);
3648 }
3649 
3650 #undef __FUNCT__
3651 #define __FUNCT__ "MatStoreValues"
3652 /*@
3653     MatStoreValues - Stashes a copy of the matrix values; this allows, for
3654        example, reuse of the linear part of a Jacobian, while recomputing the
3655        nonlinear portion.
3656 
3657    Collect on Mat
3658 
3659   Input Parameters:
3660 .  mat - the matrix (currently only AIJ matrices support this option)
3661 
3662   Level: advanced
3663 
3664   Common Usage, with SNESSolve():
3665 $    Create Jacobian matrix
3666 $    Set linear terms into matrix
3667 $    Apply boundary conditions to matrix, at this time matrix must have
3668 $      final nonzero structure (i.e. setting the nonlinear terms and applying
3669 $      boundary conditions again will not change the nonzero structure
3670 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3671 $    ierr = MatStoreValues(mat);
3672 $    Call SNESSetJacobian() with matrix
3673 $    In your Jacobian routine
3674 $      ierr = MatRetrieveValues(mat);
3675 $      Set nonlinear terms in matrix
3676 
3677   Common Usage without SNESSolve(), i.e. when you handle nonlinear solve yourself:
3678 $    // build linear portion of Jacobian
3679 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3680 $    ierr = MatStoreValues(mat);
3681 $    loop over nonlinear iterations
3682 $       ierr = MatRetrieveValues(mat);
3683 $       // call MatSetValues(mat,...) to set nonliner portion of Jacobian
3684 $       // call MatAssemblyBegin/End() on matrix
3685 $       Solve linear system with Jacobian
3686 $    endloop
3687 
3688   Notes:
3689     Matrix must already be assemblied before calling this routine
3690     Must set the matrix option MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE); before
3691     calling this routine.
3692 
3693     When this is called multiple times it overwrites the previous set of stored values
3694     and does not allocated additional space.
3695 
3696 .seealso: MatRetrieveValues()
3697 
3698 @*/
3699 PetscErrorCode  MatStoreValues(Mat mat)
3700 {
3701   PetscErrorCode ierr;
3702 
3703   PetscFunctionBegin;
3704   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3705   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3706   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3707   ierr = PetscUseMethod(mat,"MatStoreValues_C",(Mat),(mat));CHKERRQ(ierr);
3708   PetscFunctionReturn(0);
3709 }
3710 
3711 #undef __FUNCT__
3712 #define __FUNCT__ "MatRetrieveValues_SeqAIJ"
3713 PetscErrorCode  MatRetrieveValues_SeqAIJ(Mat mat)
3714 {
3715   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3716   PetscErrorCode ierr;
3717   PetscInt       nz = aij->i[mat->rmap->n];
3718 
3719   PetscFunctionBegin;
3720   if (aij->nonew != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3721   if (!aij->saved_values) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
3722   /* copy values over */
3723   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3724   PetscFunctionReturn(0);
3725 }
3726 
3727 #undef __FUNCT__
3728 #define __FUNCT__ "MatRetrieveValues"
3729 /*@
3730     MatRetrieveValues - Retrieves the copy of the matrix values; this allows, for
3731        example, reuse of the linear part of a Jacobian, while recomputing the
3732        nonlinear portion.
3733 
3734    Collect on Mat
3735 
3736   Input Parameters:
3737 .  mat - the matrix (currently on AIJ matrices support this option)
3738 
3739   Level: advanced
3740 
3741 .seealso: MatStoreValues()
3742 
3743 @*/
3744 PetscErrorCode  MatRetrieveValues(Mat mat)
3745 {
3746   PetscErrorCode ierr;
3747 
3748   PetscFunctionBegin;
3749   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3750   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3751   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3752   ierr = PetscUseMethod(mat,"MatRetrieveValues_C",(Mat),(mat));CHKERRQ(ierr);
3753   PetscFunctionReturn(0);
3754 }
3755 
3756 
3757 /* --------------------------------------------------------------------------------*/
3758 #undef __FUNCT__
3759 #define __FUNCT__ "MatCreateSeqAIJ"
3760 /*@C
3761    MatCreateSeqAIJ - Creates a sparse matrix in AIJ (compressed row) format
3762    (the default parallel PETSc format).  For good matrix assembly performance
3763    the user should preallocate the matrix storage by setting the parameter nz
3764    (or the array nnz).  By setting these parameters accurately, performance
3765    during matrix assembly can be increased by more than a factor of 50.
3766 
3767    Collective on MPI_Comm
3768 
3769    Input Parameters:
3770 +  comm - MPI communicator, set to PETSC_COMM_SELF
3771 .  m - number of rows
3772 .  n - number of columns
3773 .  nz - number of nonzeros per row (same for all rows)
3774 -  nnz - array containing the number of nonzeros in the various rows
3775          (possibly different for each row) or NULL
3776 
3777    Output Parameter:
3778 .  A - the matrix
3779 
3780    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3781    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3782    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3783 
3784    Notes:
3785    If nnz is given then nz is ignored
3786 
3787    The AIJ format (also called the Yale sparse matrix format or
3788    compressed row storage), is fully compatible with standard Fortran 77
3789    storage.  That is, the stored row and column indices can begin at
3790    either one (as in Fortran) or zero.  See the users' manual for details.
3791 
3792    Specify the preallocated storage with either nz or nnz (not both).
3793    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3794    allocation.  For large problems you MUST preallocate memory or you
3795    will get TERRIBLE performance, see the users' manual chapter on matrices.
3796 
3797    By default, this format uses inodes (identical nodes) when possible, to
3798    improve numerical efficiency of matrix-vector products and solves. We
3799    search for consecutive rows with the same nonzero structure, thereby
3800    reusing matrix information to achieve increased efficiency.
3801 
3802    Options Database Keys:
3803 +  -mat_no_inode  - Do not use inodes
3804 -  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3805 
3806    Level: intermediate
3807 
3808 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays()
3809 
3810 @*/
3811 PetscErrorCode  MatCreateSeqAIJ(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
3812 {
3813   PetscErrorCode ierr;
3814 
3815   PetscFunctionBegin;
3816   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3817   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
3818   ierr = MatSetType(*A,MATSEQAIJ);CHKERRQ(ierr);
3819   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*A,nz,nnz);CHKERRQ(ierr);
3820   PetscFunctionReturn(0);
3821 }
3822 
3823 #undef __FUNCT__
3824 #define __FUNCT__ "MatSeqAIJSetPreallocation"
3825 /*@C
3826    MatSeqAIJSetPreallocation - For good matrix assembly performance
3827    the user should preallocate the matrix storage by setting the parameter nz
3828    (or the array nnz).  By setting these parameters accurately, performance
3829    during matrix assembly can be increased by more than a factor of 50.
3830 
3831    Collective on MPI_Comm
3832 
3833    Input Parameters:
3834 +  B - The matrix-free
3835 .  nz - number of nonzeros per row (same for all rows)
3836 -  nnz - array containing the number of nonzeros in the various rows
3837          (possibly different for each row) or NULL
3838 
3839    Notes:
3840      If nnz is given then nz is ignored
3841 
3842     The AIJ format (also called the Yale sparse matrix format or
3843    compressed row storage), is fully compatible with standard Fortran 77
3844    storage.  That is, the stored row and column indices can begin at
3845    either one (as in Fortran) or zero.  See the users' manual for details.
3846 
3847    Specify the preallocated storage with either nz or nnz (not both).
3848    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3849    allocation.  For large problems you MUST preallocate memory or you
3850    will get TERRIBLE performance, see the users' manual chapter on matrices.
3851 
3852    You can call MatGetInfo() to get information on how effective the preallocation was;
3853    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3854    You can also run with the option -info and look for messages with the string
3855    malloc in them to see if additional memory allocation was needed.
3856 
3857    Developers: Use nz of MAT_SKIP_ALLOCATION to not allocate any space for the matrix
3858    entries or columns indices
3859 
3860    By default, this format uses inodes (identical nodes) when possible, to
3861    improve numerical efficiency of matrix-vector products and solves. We
3862    search for consecutive rows with the same nonzero structure, thereby
3863    reusing matrix information to achieve increased efficiency.
3864 
3865    Options Database Keys:
3866 +  -mat_no_inode  - Do not use inodes
3867 .  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3868 -  -mat_aij_oneindex - Internally use indexing starting at 1
3869         rather than 0.  Note that when calling MatSetValues(),
3870         the user still MUST index entries starting at 0!
3871 
3872    Level: intermediate
3873 
3874 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays(), MatGetInfo()
3875 
3876 @*/
3877 PetscErrorCode  MatSeqAIJSetPreallocation(Mat B,PetscInt nz,const PetscInt nnz[])
3878 {
3879   PetscErrorCode ierr;
3880 
3881   PetscFunctionBegin;
3882   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3883   PetscValidType(B,1);
3884   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocation_C",(Mat,PetscInt,const PetscInt[]),(B,nz,nnz));CHKERRQ(ierr);
3885   PetscFunctionReturn(0);
3886 }
3887 
3888 #undef __FUNCT__
3889 #define __FUNCT__ "MatSeqAIJSetPreallocation_SeqAIJ"
3890 PetscErrorCode  MatSeqAIJSetPreallocation_SeqAIJ(Mat B,PetscInt nz,const PetscInt *nnz)
3891 {
3892   Mat_SeqAIJ     *b;
3893   PetscBool      skipallocation = PETSC_FALSE,realalloc = PETSC_FALSE;
3894   PetscErrorCode ierr;
3895   PetscInt       i;
3896 
3897   PetscFunctionBegin;
3898   if (nz >= 0 || nnz) realalloc = PETSC_TRUE;
3899   if (nz == MAT_SKIP_ALLOCATION) {
3900     skipallocation = PETSC_TRUE;
3901     nz             = 0;
3902   }
3903 
3904   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3905   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3906 
3907   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
3908   if (nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %d",nz);
3909   if (nnz) {
3910     for (i=0; i<B->rmap->n; i++) {
3911       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]);
3912       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);
3913     }
3914   }
3915 
3916   B->preallocated = PETSC_TRUE;
3917 
3918   b = (Mat_SeqAIJ*)B->data;
3919 
3920   if (!skipallocation) {
3921     if (!b->imax) {
3922       ierr = PetscMalloc2(B->rmap->n,PetscInt,&b->imax,B->rmap->n,PetscInt,&b->ilen);CHKERRQ(ierr);
3923       ierr = PetscLogObjectMemory((PetscObject)B,2*B->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
3924     }
3925     if (!nnz) {
3926       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 10;
3927       else if (nz < 0) nz = 1;
3928       for (i=0; i<B->rmap->n; i++) b->imax[i] = nz;
3929       nz = nz*B->rmap->n;
3930     } else {
3931       nz = 0;
3932       for (i=0; i<B->rmap->n; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
3933     }
3934     /* b->ilen will count nonzeros in each row so far. */
3935     for (i=0; i<B->rmap->n; i++) b->ilen[i] = 0;
3936 
3937     /* allocate the matrix space */
3938     ierr    = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
3939     ierr    = PetscMalloc3(nz,PetscScalar,&b->a,nz,PetscInt,&b->j,B->rmap->n+1,PetscInt,&b->i);CHKERRQ(ierr);
3940     ierr    = PetscLogObjectMemory((PetscObject)B,(B->rmap->n+1)*sizeof(PetscInt)+nz*(sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
3941     b->i[0] = 0;
3942     for (i=1; i<B->rmap->n+1; i++) {
3943       b->i[i] = b->i[i-1] + b->imax[i-1];
3944     }
3945     b->singlemalloc = PETSC_TRUE;
3946     b->free_a       = PETSC_TRUE;
3947     b->free_ij      = PETSC_TRUE;
3948 #if defined(PETSC_THREADCOMM_ACTIVE)
3949     ierr = MatZeroEntries_SeqAIJ(B);CHKERRQ(ierr);
3950 #endif
3951   } else {
3952     b->free_a  = PETSC_FALSE;
3953     b->free_ij = PETSC_FALSE;
3954   }
3955 
3956   b->nz               = 0;
3957   b->maxnz            = nz;
3958   B->info.nz_unneeded = (double)b->maxnz;
3959   if (realalloc) {
3960     ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3961   }
3962   PetscFunctionReturn(0);
3963 }
3964 
3965 #undef  __FUNCT__
3966 #define __FUNCT__  "MatSeqAIJSetPreallocationCSR"
3967 /*@
3968    MatSeqAIJSetPreallocationCSR - Allocates memory for a sparse sequential matrix in AIJ format.
3969 
3970    Input Parameters:
3971 +  B - the matrix
3972 .  i - the indices into j for the start of each row (starts with zero)
3973 .  j - the column indices for each row (starts with zero) these must be sorted for each row
3974 -  v - optional values in the matrix
3975 
3976    Level: developer
3977 
3978    The i,j,v values are COPIED with this routine; to avoid the copy use MatCreateSeqAIJWithArrays()
3979 
3980 .keywords: matrix, aij, compressed row, sparse, sequential
3981 
3982 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatSeqAIJSetPreallocation(), MatCreateSeqAIJ(), SeqAIJ
3983 @*/
3984 PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat B,const PetscInt i[],const PetscInt j[],const PetscScalar v[])
3985 {
3986   PetscErrorCode ierr;
3987 
3988   PetscFunctionBegin;
3989   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3990   PetscValidType(B,1);
3991   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocationCSR_C",(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,i,j,v));CHKERRQ(ierr);
3992   PetscFunctionReturn(0);
3993 }
3994 
3995 #undef  __FUNCT__
3996 #define __FUNCT__  "MatSeqAIJSetPreallocationCSR_SeqAIJ"
3997 PetscErrorCode  MatSeqAIJSetPreallocationCSR_SeqAIJ(Mat B,const PetscInt Ii[],const PetscInt J[],const PetscScalar v[])
3998 {
3999   PetscInt       i;
4000   PetscInt       m,n;
4001   PetscInt       nz;
4002   PetscInt       *nnz, nz_max = 0;
4003   PetscScalar    *values;
4004   PetscErrorCode ierr;
4005 
4006   PetscFunctionBegin;
4007   if (Ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Ii[0] must be 0 it is %D", Ii[0]);
4008 
4009   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
4010   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
4011 
4012   ierr = MatGetSize(B, &m, &n);CHKERRQ(ierr);
4013   ierr = PetscMalloc((m+1) * sizeof(PetscInt), &nnz);CHKERRQ(ierr);
4014   for (i = 0; i < m; i++) {
4015     nz     = Ii[i+1]- Ii[i];
4016     nz_max = PetscMax(nz_max, nz);
4017     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Local row %D has a negative number of columns %D", i, nnz);
4018     nnz[i] = nz;
4019   }
4020   ierr = MatSeqAIJSetPreallocation(B, 0, nnz);CHKERRQ(ierr);
4021   ierr = PetscFree(nnz);CHKERRQ(ierr);
4022 
4023   if (v) {
4024     values = (PetscScalar*) v;
4025   } else {
4026     ierr = PetscMalloc(nz_max*sizeof(PetscScalar), &values);CHKERRQ(ierr);
4027     ierr = PetscMemzero(values, nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
4028   }
4029 
4030   for (i = 0; i < m; i++) {
4031     nz   = Ii[i+1] - Ii[i];
4032     ierr = MatSetValues_SeqAIJ(B, 1, &i, nz, J+Ii[i], values + (v ? Ii[i] : 0), INSERT_VALUES);CHKERRQ(ierr);
4033   }
4034 
4035   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4036   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4037 
4038   if (!v) {
4039     ierr = PetscFree(values);CHKERRQ(ierr);
4040   }
4041   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
4042   PetscFunctionReturn(0);
4043 }
4044 
4045 #include <../src/mat/impls/dense/seq/dense.h>
4046 #include <petsc-private/kernels/petscaxpy.h>
4047 
4048 #undef __FUNCT__
4049 #define __FUNCT__ "MatMatMultNumeric_SeqDense_SeqAIJ"
4050 /*
4051     Computes (B'*A')' since computing B*A directly is untenable
4052 
4053                n                       p                          p
4054         (              )       (              )         (                  )
4055       m (      A       )  *  n (       B      )   =   m (         C        )
4056         (              )       (              )         (                  )
4057 
4058 */
4059 PetscErrorCode MatMatMultNumeric_SeqDense_SeqAIJ(Mat A,Mat B,Mat C)
4060 {
4061   PetscErrorCode    ierr;
4062   Mat_SeqDense      *sub_a = (Mat_SeqDense*)A->data;
4063   Mat_SeqAIJ        *sub_b = (Mat_SeqAIJ*)B->data;
4064   Mat_SeqDense      *sub_c = (Mat_SeqDense*)C->data;
4065   PetscInt          i,n,m,q,p;
4066   const PetscInt    *ii,*idx;
4067   const PetscScalar *b,*a,*a_q;
4068   PetscScalar       *c,*c_q;
4069 
4070   PetscFunctionBegin;
4071   m    = A->rmap->n;
4072   n    = A->cmap->n;
4073   p    = B->cmap->n;
4074   a    = sub_a->v;
4075   b    = sub_b->a;
4076   c    = sub_c->v;
4077   ierr = PetscMemzero(c,m*p*sizeof(PetscScalar));CHKERRQ(ierr);
4078 
4079   ii  = sub_b->i;
4080   idx = sub_b->j;
4081   for (i=0; i<n; i++) {
4082     q = ii[i+1] - ii[i];
4083     while (q-->0) {
4084       c_q = c + m*(*idx);
4085       a_q = a + m*i;
4086       PetscKernelAXPY(c_q,*b,a_q,m);
4087       idx++;
4088       b++;
4089     }
4090   }
4091   PetscFunctionReturn(0);
4092 }
4093 
4094 #undef __FUNCT__
4095 #define __FUNCT__ "MatMatMultSymbolic_SeqDense_SeqAIJ"
4096 PetscErrorCode MatMatMultSymbolic_SeqDense_SeqAIJ(Mat A,Mat B,PetscReal fill,Mat *C)
4097 {
4098   PetscErrorCode ierr;
4099   PetscInt       m=A->rmap->n,n=B->cmap->n;
4100   Mat            Cmat;
4101 
4102   PetscFunctionBegin;
4103   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);
4104   ierr = MatCreate(PetscObjectComm((PetscObject)A),&Cmat);CHKERRQ(ierr);
4105   ierr = MatSetSizes(Cmat,m,n,m,n);CHKERRQ(ierr);
4106   ierr = MatSetBlockSizes(Cmat,A->rmap->bs,B->cmap->bs);CHKERRQ(ierr);
4107   ierr = MatSetType(Cmat,MATSEQDENSE);CHKERRQ(ierr);
4108   ierr = MatSeqDenseSetPreallocation(Cmat,NULL);CHKERRQ(ierr);
4109 
4110   Cmat->ops->matmultnumeric = MatMatMultNumeric_SeqDense_SeqAIJ;
4111 
4112   *C = Cmat;
4113   PetscFunctionReturn(0);
4114 }
4115 
4116 /* ----------------------------------------------------------------*/
4117 #undef __FUNCT__
4118 #define __FUNCT__ "MatMatMult_SeqDense_SeqAIJ"
4119 PetscErrorCode MatMatMult_SeqDense_SeqAIJ(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
4120 {
4121   PetscErrorCode ierr;
4122 
4123   PetscFunctionBegin;
4124   if (scall == MAT_INITIAL_MATRIX) {
4125     ierr = PetscLogEventBegin(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
4126     ierr = MatMatMultSymbolic_SeqDense_SeqAIJ(A,B,fill,C);CHKERRQ(ierr);
4127     ierr = PetscLogEventEnd(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
4128   }
4129   ierr = PetscLogEventBegin(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
4130   ierr = MatMatMultNumeric_SeqDense_SeqAIJ(A,B,*C);CHKERRQ(ierr);
4131   ierr = PetscLogEventEnd(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
4132   PetscFunctionReturn(0);
4133 }
4134 
4135 
4136 /*MC
4137    MATSEQAIJ - MATSEQAIJ = "seqaij" - A matrix type to be used for sequential sparse matrices,
4138    based on compressed sparse row format.
4139 
4140    Options Database Keys:
4141 . -mat_type seqaij - sets the matrix type to "seqaij" during a call to MatSetFromOptions()
4142 
4143   Level: beginner
4144 
4145 .seealso: MatCreateSeqAIJ(), MatSetFromOptions(), MatSetType(), MatCreate(), MatType
4146 M*/
4147 
4148 /*MC
4149    MATAIJ - MATAIJ = "aij" - A matrix type to be used for sparse matrices.
4150 
4151    This matrix type is identical to MATSEQAIJ when constructed with a single process communicator,
4152    and MATMPIAIJ otherwise.  As a result, for single process communicators,
4153   MatSeqAIJSetPreallocation is supported, and similarly MatMPIAIJSetPreallocation is supported
4154   for communicators controlling multiple processes.  It is recommended that you call both of
4155   the above preallocation routines for simplicity.
4156 
4157    Options Database Keys:
4158 . -mat_type aij - sets the matrix type to "aij" during a call to MatSetFromOptions()
4159 
4160   Developer Notes: Subclasses include MATAIJCUSP, MATAIJPERM, MATAIJCRL, and also automatically switches over to use inodes when
4161    enough exist.
4162 
4163   Level: beginner
4164 
4165 .seealso: MatCreateAIJ(), MatCreateSeqAIJ(), MATSEQAIJ,MATMPIAIJ
4166 M*/
4167 
4168 /*MC
4169    MATAIJCRL - MATAIJCRL = "aijcrl" - A matrix type to be used for sparse matrices.
4170 
4171    This matrix type is identical to MATSEQAIJCRL when constructed with a single process communicator,
4172    and MATMPIAIJCRL otherwise.  As a result, for single process communicators,
4173    MatSeqAIJSetPreallocation() is supported, and similarly MatMPIAIJSetPreallocation() is supported
4174   for communicators controlling multiple processes.  It is recommended that you call both of
4175   the above preallocation routines for simplicity.
4176 
4177    Options Database Keys:
4178 . -mat_type aijcrl - sets the matrix type to "aijcrl" during a call to MatSetFromOptions()
4179 
4180   Level: beginner
4181 
4182 .seealso: MatCreateMPIAIJCRL,MATSEQAIJCRL,MATMPIAIJCRL, MATSEQAIJCRL, MATMPIAIJCRL
4183 M*/
4184 
4185 #if defined(PETSC_HAVE_PASTIX)
4186 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_pastix(Mat,MatFactorType,Mat*);
4187 #endif
4188 #if defined(PETSC_HAVE_ESSL) && !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_REAL_SINGLE) && !defined(PETSC_USE_REAL___FLOAT128)
4189 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_essl(Mat,MatFactorType,Mat*);
4190 #endif
4191 PETSC_EXTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJCRL(Mat,MatType,MatReuse,Mat*);
4192 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_petsc(Mat,MatFactorType,Mat*);
4193 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_bas(Mat,MatFactorType,Mat*);
4194 extern PetscErrorCode  MatGetFactorAvailable_seqaij_petsc(Mat,MatFactorType,PetscBool*);
4195 #if defined(PETSC_HAVE_MUMPS)
4196 PETSC_EXTERN PetscErrorCode MatGetFactor_aij_mumps(Mat,MatFactorType,Mat*);
4197 #endif
4198 #if defined(PETSC_HAVE_SUPERLU)
4199 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_superlu(Mat,MatFactorType,Mat*);
4200 #endif
4201 #if defined(PETSC_HAVE_SUPERLU_DIST)
4202 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_superlu_dist(Mat,MatFactorType,Mat*);
4203 #endif
4204 #if defined(PETSC_HAVE_UMFPACK)
4205 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_umfpack(Mat,MatFactorType,Mat*);
4206 #endif
4207 #if defined(PETSC_HAVE_CHOLMOD)
4208 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_cholmod(Mat,MatFactorType,Mat*);
4209 #endif
4210 #if defined(PETSC_HAVE_LUSOL)
4211 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_lusol(Mat,MatFactorType,Mat*);
4212 #endif
4213 #if defined(PETSC_HAVE_MATLAB_ENGINE)
4214 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_matlab(Mat,MatFactorType,Mat*);
4215 extern PetscErrorCode  MatlabEnginePut_SeqAIJ(PetscObject,void*);
4216 extern PetscErrorCode  MatlabEngineGet_SeqAIJ(PetscObject,void*);
4217 #endif
4218 #if defined(PETSC_HAVE_CLIQUE)
4219 PETSC_EXTERN PetscErrorCode MatGetFactor_aij_clique(Mat,MatFactorType,Mat*);
4220 #endif
4221 
4222 
4223 #undef __FUNCT__
4224 #define __FUNCT__ "MatSeqAIJGetArray"
4225 /*@C
4226    MatSeqAIJGetArray - gives access to the array where the data for a SeqSeqAIJ matrix is stored
4227 
4228    Not Collective
4229 
4230    Input Parameter:
4231 .  mat - a MATSEQDENSE matrix
4232 
4233    Output Parameter:
4234 .   array - pointer to the data
4235 
4236    Level: intermediate
4237 
4238 .seealso: MatSeqAIJRestoreArray(), MatSeqAIJGetArrayF90()
4239 @*/
4240 PetscErrorCode  MatSeqAIJGetArray(Mat A,PetscScalar **array)
4241 {
4242   PetscErrorCode ierr;
4243 
4244   PetscFunctionBegin;
4245   ierr = PetscUseMethod(A,"MatSeqAIJGetArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
4246   PetscFunctionReturn(0);
4247 }
4248 
4249 #undef __FUNCT__
4250 #define __FUNCT__ "MatSeqAIJRestoreArray"
4251 /*@C
4252    MatSeqAIJRestoreArray - returns access to the array where the data for a SeqSeqAIJ matrix is stored obtained by MatSeqAIJGetArray()
4253 
4254    Not Collective
4255 
4256    Input Parameters:
4257 .  mat - a MATSEQDENSE matrix
4258 .  array - pointer to the data
4259 
4260    Level: intermediate
4261 
4262 .seealso: MatSeqAIJGetArray(), MatSeqAIJRestoreArrayF90()
4263 @*/
4264 PetscErrorCode  MatSeqAIJRestoreArray(Mat A,PetscScalar **array)
4265 {
4266   PetscErrorCode ierr;
4267 
4268   PetscFunctionBegin;
4269   ierr = PetscUseMethod(A,"MatSeqAIJRestoreArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
4270   PetscFunctionReturn(0);
4271 }
4272 
4273 #undef __FUNCT__
4274 #define __FUNCT__ "MatCreate_SeqAIJ"
4275 PETSC_EXTERN PetscErrorCode MatCreate_SeqAIJ(Mat B)
4276 {
4277   Mat_SeqAIJ     *b;
4278   PetscErrorCode ierr;
4279   PetscMPIInt    size;
4280 
4281   PetscFunctionBegin;
4282   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&size);CHKERRQ(ierr);
4283   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Comm must be of size 1");
4284 
4285   ierr = PetscNewLog(B,Mat_SeqAIJ,&b);CHKERRQ(ierr);
4286 
4287   B->data = (void*)b;
4288 
4289   ierr = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
4290 
4291   b->row                = 0;
4292   b->col                = 0;
4293   b->icol               = 0;
4294   b->reallocs           = 0;
4295   b->ignorezeroentries  = PETSC_FALSE;
4296   b->roworiented        = PETSC_TRUE;
4297   b->nonew              = 0;
4298   b->diag               = 0;
4299   b->solve_work         = 0;
4300   B->spptr              = 0;
4301   b->saved_values       = 0;
4302   b->idiag              = 0;
4303   b->mdiag              = 0;
4304   b->ssor_work          = 0;
4305   b->omega              = 1.0;
4306   b->fshift             = 0.0;
4307   b->idiagvalid         = PETSC_FALSE;
4308   b->ibdiagvalid        = PETSC_FALSE;
4309   b->keepnonzeropattern = PETSC_FALSE;
4310   b->xtoy               = 0;
4311   b->XtoY               = 0;
4312   B->same_nonzero       = PETSC_FALSE;
4313 
4314   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
4315   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJGetArray_C",MatSeqAIJGetArray_SeqAIJ);CHKERRQ(ierr);
4316   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJRestoreArray_C",MatSeqAIJRestoreArray_SeqAIJ);CHKERRQ(ierr);
4317 
4318 #if defined(PETSC_HAVE_MATLAB_ENGINE)
4319   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_matlab_C",MatGetFactor_seqaij_matlab);CHKERRQ(ierr);
4320   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEnginePut_C",MatlabEnginePut_SeqAIJ);CHKERRQ(ierr);
4321   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEngineGet_C",MatlabEngineGet_SeqAIJ);CHKERRQ(ierr);
4322 #endif
4323 #if defined(PETSC_HAVE_PASTIX)
4324   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_pastix_C",MatGetFactor_seqaij_pastix);CHKERRQ(ierr);
4325 #endif
4326 #if defined(PETSC_HAVE_ESSL) && !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_REAL_SINGLE) && !defined(PETSC_USE_REAL___FLOAT128)
4327   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_essl_C",MatGetFactor_seqaij_essl);CHKERRQ(ierr);
4328 #endif
4329 #if defined(PETSC_HAVE_SUPERLU)
4330   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_superlu_C",MatGetFactor_seqaij_superlu);CHKERRQ(ierr);
4331 #endif
4332 #if defined(PETSC_HAVE_SUPERLU_DIST)
4333   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_superlu_dist_C",MatGetFactor_seqaij_superlu_dist);CHKERRQ(ierr);
4334 #endif
4335 #if defined(PETSC_HAVE_MUMPS)
4336   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_mumps_C",MatGetFactor_aij_mumps);CHKERRQ(ierr);
4337 #endif
4338 #if defined(PETSC_HAVE_UMFPACK)
4339   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_umfpack_C",MatGetFactor_seqaij_umfpack);CHKERRQ(ierr);
4340 #endif
4341 #if defined(PETSC_HAVE_CHOLMOD)
4342   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_cholmod_C",MatGetFactor_seqaij_cholmod);CHKERRQ(ierr);
4343 #endif
4344 #if defined(PETSC_HAVE_LUSOL)
4345   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_lusol_C",MatGetFactor_seqaij_lusol);CHKERRQ(ierr);
4346 #endif
4347 #if defined(PETSC_HAVE_CLIQUE)
4348   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_clique_C",MatGetFactor_aij_clique);CHKERRQ(ierr);
4349 #endif
4350 
4351   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_petsc_C",MatGetFactor_seqaij_petsc);CHKERRQ(ierr);
4352   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactorAvailable_petsc_C",MatGetFactorAvailable_seqaij_petsc);CHKERRQ(ierr);
4353   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_bas_C",MatGetFactor_seqaij_bas);CHKERRQ(ierr);
4354   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetColumnIndices_C",MatSeqAIJSetColumnIndices_SeqAIJ);CHKERRQ(ierr);
4355   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_SeqAIJ);CHKERRQ(ierr);
4356   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_SeqAIJ);CHKERRQ(ierr);
4357   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqsbaij_C",MatConvert_SeqAIJ_SeqSBAIJ);CHKERRQ(ierr);
4358   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqbaij_C",MatConvert_SeqAIJ_SeqBAIJ);CHKERRQ(ierr);
4359   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijperm_C",MatConvert_SeqAIJ_SeqAIJPERM);CHKERRQ(ierr);
4360   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijcrl_C",MatConvert_SeqAIJ_SeqAIJCRL);CHKERRQ(ierr);
4361   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4362   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsHermitianTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4363   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocation_C",MatSeqAIJSetPreallocation_SeqAIJ);CHKERRQ(ierr);
4364   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocationCSR_C",MatSeqAIJSetPreallocationCSR_SeqAIJ);CHKERRQ(ierr);
4365   ierr = PetscObjectComposeFunction((PetscObject)B,"MatReorderForNonzeroDiagonal_C",MatReorderForNonzeroDiagonal_SeqAIJ);CHKERRQ(ierr);
4366   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMult_seqdense_seqaij_C",MatMatMult_SeqDense_SeqAIJ);CHKERRQ(ierr);
4367   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultSymbolic_seqdense_seqaij_C",MatMatMultSymbolic_SeqDense_SeqAIJ);CHKERRQ(ierr);
4368   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultNumeric_seqdense_seqaij_C",MatMatMultNumeric_SeqDense_SeqAIJ);CHKERRQ(ierr);
4369   ierr = MatCreate_SeqAIJ_Inode(B);CHKERRQ(ierr);
4370   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
4371   PetscFunctionReturn(0);
4372 }
4373 
4374 #undef __FUNCT__
4375 #define __FUNCT__ "MatDuplicateNoCreate_SeqAIJ"
4376 /*
4377     Given a matrix generated with MatGetFactor() duplicates all the information in A into B
4378 */
4379 PetscErrorCode MatDuplicateNoCreate_SeqAIJ(Mat C,Mat A,MatDuplicateOption cpvalues,PetscBool mallocmatspace)
4380 {
4381   Mat_SeqAIJ     *c,*a = (Mat_SeqAIJ*)A->data;
4382   PetscErrorCode ierr;
4383   PetscInt       i,m = A->rmap->n;
4384 
4385   PetscFunctionBegin;
4386   c = (Mat_SeqAIJ*)C->data;
4387 
4388   C->factortype = A->factortype;
4389   c->row        = 0;
4390   c->col        = 0;
4391   c->icol       = 0;
4392   c->reallocs   = 0;
4393 
4394   C->assembled = PETSC_TRUE;
4395 
4396   ierr = PetscLayoutReference(A->rmap,&C->rmap);CHKERRQ(ierr);
4397   ierr = PetscLayoutReference(A->cmap,&C->cmap);CHKERRQ(ierr);
4398 
4399   ierr = PetscMalloc2(m,PetscInt,&c->imax,m,PetscInt,&c->ilen);CHKERRQ(ierr);
4400   ierr = PetscLogObjectMemory((PetscObject)C, 2*m*sizeof(PetscInt));CHKERRQ(ierr);
4401   for (i=0; i<m; i++) {
4402     c->imax[i] = a->imax[i];
4403     c->ilen[i] = a->ilen[i];
4404   }
4405 
4406   /* allocate the matrix space */
4407   if (mallocmatspace) {
4408     ierr = PetscMalloc3(a->i[m],PetscScalar,&c->a,a->i[m],PetscInt,&c->j,m+1,PetscInt,&c->i);CHKERRQ(ierr);
4409     ierr = PetscLogObjectMemory((PetscObject)C, a->i[m]*(sizeof(PetscScalar)+sizeof(PetscInt))+(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4410 
4411     c->singlemalloc = PETSC_TRUE;
4412 
4413     ierr = PetscMemcpy(c->i,a->i,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4414     if (m > 0) {
4415       ierr = PetscMemcpy(c->j,a->j,(a->i[m])*sizeof(PetscInt));CHKERRQ(ierr);
4416       if (cpvalues == MAT_COPY_VALUES) {
4417         ierr = PetscMemcpy(c->a,a->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4418       } else {
4419         ierr = PetscMemzero(c->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4420       }
4421     }
4422   }
4423 
4424   c->ignorezeroentries = a->ignorezeroentries;
4425   c->roworiented       = a->roworiented;
4426   c->nonew             = a->nonew;
4427   if (a->diag) {
4428     ierr = PetscMalloc((m+1)*sizeof(PetscInt),&c->diag);CHKERRQ(ierr);
4429     ierr = PetscLogObjectMemory((PetscObject)C,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4430     for (i=0; i<m; i++) {
4431       c->diag[i] = a->diag[i];
4432     }
4433   } else c->diag = 0;
4434 
4435   c->solve_work         = 0;
4436   c->saved_values       = 0;
4437   c->idiag              = 0;
4438   c->ssor_work          = 0;
4439   c->keepnonzeropattern = a->keepnonzeropattern;
4440   c->free_a             = PETSC_TRUE;
4441   c->free_ij            = PETSC_TRUE;
4442   c->xtoy               = 0;
4443   c->XtoY               = 0;
4444 
4445   c->rmax         = a->rmax;
4446   c->nz           = a->nz;
4447   c->maxnz        = a->nz;       /* Since we allocate exactly the right amount */
4448   C->preallocated = PETSC_TRUE;
4449 
4450   c->compressedrow.use   = a->compressedrow.use;
4451   c->compressedrow.nrows = a->compressedrow.nrows;
4452   c->compressedrow.check = a->compressedrow.check;
4453   if (a->compressedrow.use) {
4454     i    = a->compressedrow.nrows;
4455     ierr = PetscMalloc2(i+1,PetscInt,&c->compressedrow.i,i,PetscInt,&c->compressedrow.rindex);CHKERRQ(ierr);
4456     ierr = PetscMemcpy(c->compressedrow.i,a->compressedrow.i,(i+1)*sizeof(PetscInt));CHKERRQ(ierr);
4457     ierr = PetscMemcpy(c->compressedrow.rindex,a->compressedrow.rindex,i*sizeof(PetscInt));CHKERRQ(ierr);
4458   } else {
4459     c->compressedrow.use    = PETSC_FALSE;
4460     c->compressedrow.i      = NULL;
4461     c->compressedrow.rindex = NULL;
4462   }
4463   C->same_nonzero = A->same_nonzero;
4464 
4465   ierr = MatDuplicate_SeqAIJ_Inode(A,cpvalues,&C);CHKERRQ(ierr);
4466   ierr = PetscFunctionListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
4467   PetscFunctionReturn(0);
4468 }
4469 
4470 #undef __FUNCT__
4471 #define __FUNCT__ "MatDuplicate_SeqAIJ"
4472 PetscErrorCode MatDuplicate_SeqAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
4473 {
4474   PetscErrorCode ierr;
4475 
4476   PetscFunctionBegin;
4477   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
4478   ierr = MatSetSizes(*B,A->rmap->n,A->cmap->n,A->rmap->n,A->cmap->n);CHKERRQ(ierr);
4479   ierr = MatSetBlockSizes(*B,A->rmap->bs,A->cmap->bs);CHKERRQ(ierr);
4480   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
4481   ierr = MatDuplicateNoCreate_SeqAIJ(*B,A,cpvalues,PETSC_TRUE);CHKERRQ(ierr);
4482   PetscFunctionReturn(0);
4483 }
4484 
4485 #undef __FUNCT__
4486 #define __FUNCT__ "MatLoad_SeqAIJ"
4487 PetscErrorCode MatLoad_SeqAIJ(Mat newMat, PetscViewer viewer)
4488 {
4489   Mat_SeqAIJ     *a;
4490   PetscErrorCode ierr;
4491   PetscInt       i,sum,nz,header[4],*rowlengths = 0,M,N,rows,cols;
4492   int            fd;
4493   PetscMPIInt    size;
4494   MPI_Comm       comm;
4495   PetscInt       bs = 1;
4496 
4497   PetscFunctionBegin;
4498   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
4499   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4500   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"view must have one processor");
4501 
4502   ierr = PetscOptionsBegin(comm,NULL,"Options for loading SEQAIJ matrix","Mat");CHKERRQ(ierr);
4503   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
4504   ierr = PetscOptionsEnd();CHKERRQ(ierr);
4505   if (bs > 1) {ierr = MatSetBlockSize(newMat,bs);CHKERRQ(ierr);}
4506 
4507   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
4508   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
4509   if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object in file");
4510   M = header[1]; N = header[2]; nz = header[3];
4511 
4512   if (nz < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk,cannot load as SeqAIJ");
4513 
4514   /* read in row lengths */
4515   ierr = PetscMalloc(M*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
4516   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
4517 
4518   /* check if sum of rowlengths is same as nz */
4519   for (i=0,sum=0; i< M; i++) sum +=rowlengths[i];
4520   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);
4521 
4522   /* set global size if not set already*/
4523   if (newMat->rmap->n < 0 && newMat->rmap->N < 0 && newMat->cmap->n < 0 && newMat->cmap->N < 0) {
4524     ierr = MatSetSizes(newMat,PETSC_DECIDE,PETSC_DECIDE,M,N);CHKERRQ(ierr);
4525   } else {
4526     /* if sizes and type are already set, check if the vector global sizes are correct */
4527     ierr = MatGetSize(newMat,&rows,&cols);CHKERRQ(ierr);
4528     if (rows < 0 && cols < 0) { /* user might provide local size instead of global size */
4529       ierr = MatGetLocalSize(newMat,&rows,&cols);CHKERRQ(ierr);
4530     }
4531     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);
4532   }
4533   ierr = MatSeqAIJSetPreallocation_SeqAIJ(newMat,0,rowlengths);CHKERRQ(ierr);
4534   a    = (Mat_SeqAIJ*)newMat->data;
4535 
4536   ierr = PetscBinaryRead(fd,a->j,nz,PETSC_INT);CHKERRQ(ierr);
4537 
4538   /* read in nonzero values */
4539   ierr = PetscBinaryRead(fd,a->a,nz,PETSC_SCALAR);CHKERRQ(ierr);
4540 
4541   /* set matrix "i" values */
4542   a->i[0] = 0;
4543   for (i=1; i<= M; i++) {
4544     a->i[i]      = a->i[i-1] + rowlengths[i-1];
4545     a->ilen[i-1] = rowlengths[i-1];
4546   }
4547   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
4548 
4549   ierr = MatAssemblyBegin(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4550   ierr = MatAssemblyEnd(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4551   PetscFunctionReturn(0);
4552 }
4553 
4554 #undef __FUNCT__
4555 #define __FUNCT__ "MatEqual_SeqAIJ"
4556 PetscErrorCode MatEqual_SeqAIJ(Mat A,Mat B,PetscBool * flg)
4557 {
4558   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*b = (Mat_SeqAIJ*)B->data;
4559   PetscErrorCode ierr;
4560 #if defined(PETSC_USE_COMPLEX)
4561   PetscInt k;
4562 #endif
4563 
4564   PetscFunctionBegin;
4565   /* If the  matrix dimensions are not equal,or no of nonzeros */
4566   if ((A->rmap->n != B->rmap->n) || (A->cmap->n != B->cmap->n) ||(a->nz != b->nz)) {
4567     *flg = PETSC_FALSE;
4568     PetscFunctionReturn(0);
4569   }
4570 
4571   /* if the a->i are the same */
4572   ierr = PetscMemcmp(a->i,b->i,(A->rmap->n+1)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4573   if (!*flg) PetscFunctionReturn(0);
4574 
4575   /* if a->j are the same */
4576   ierr = PetscMemcmp(a->j,b->j,(a->nz)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4577   if (!*flg) PetscFunctionReturn(0);
4578 
4579   /* if a->a are the same */
4580 #if defined(PETSC_USE_COMPLEX)
4581   for (k=0; k<a->nz; k++) {
4582     if (PetscRealPart(a->a[k]) != PetscRealPart(b->a[k]) || PetscImaginaryPart(a->a[k]) != PetscImaginaryPart(b->a[k])) {
4583       *flg = PETSC_FALSE;
4584       PetscFunctionReturn(0);
4585     }
4586   }
4587 #else
4588   ierr = PetscMemcmp(a->a,b->a,(a->nz)*sizeof(PetscScalar),flg);CHKERRQ(ierr);
4589 #endif
4590   PetscFunctionReturn(0);
4591 }
4592 
4593 #undef __FUNCT__
4594 #define __FUNCT__ "MatCreateSeqAIJWithArrays"
4595 /*@
4596      MatCreateSeqAIJWithArrays - Creates an sequential AIJ matrix using matrix elements (in CSR format)
4597               provided by the user.
4598 
4599       Collective on MPI_Comm
4600 
4601    Input Parameters:
4602 +   comm - must be an MPI communicator of size 1
4603 .   m - number of rows
4604 .   n - number of columns
4605 .   i - row indices
4606 .   j - column indices
4607 -   a - matrix values
4608 
4609    Output Parameter:
4610 .   mat - the matrix
4611 
4612    Level: intermediate
4613 
4614    Notes:
4615        The i, j, and a arrays are not copied by this routine, the user must free these arrays
4616     once the matrix is destroyed and not before
4617 
4618        You cannot set new nonzero locations into this matrix, that will generate an error.
4619 
4620        The i and j indices are 0 based
4621 
4622        The format which is used for the sparse matrix input, is equivalent to a
4623     row-major ordering.. i.e for the following matrix, the input data expected is
4624     as shown:
4625 
4626         1 0 0
4627         2 0 3
4628         4 5 6
4629 
4630         i =  {0,1,3,6}  [size = nrow+1  = 3+1]
4631         j =  {0,0,2,0,1,2}  [size = nz = 6]; values must be sorted for each row
4632         v =  {1,2,3,4,5,6}  [size = nz = 6]
4633 
4634 
4635 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateMPIAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4636 
4637 @*/
4638 PetscErrorCode  MatCreateSeqAIJWithArrays(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt *i,PetscInt *j,PetscScalar *a,Mat *mat)
4639 {
4640   PetscErrorCode ierr;
4641   PetscInt       ii;
4642   Mat_SeqAIJ     *aij;
4643 #if defined(PETSC_USE_DEBUG)
4644   PetscInt jj;
4645 #endif
4646 
4647   PetscFunctionBegin;
4648   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
4649   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4650   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4651   /* ierr = MatSetBlockSizes(*mat,,);CHKERRQ(ierr); */
4652   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4653   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
4654   aij  = (Mat_SeqAIJ*)(*mat)->data;
4655   ierr = PetscMalloc2(m,PetscInt,&aij->imax,m,PetscInt,&aij->ilen);CHKERRQ(ierr);
4656 
4657   aij->i            = i;
4658   aij->j            = j;
4659   aij->a            = a;
4660   aij->singlemalloc = PETSC_FALSE;
4661   aij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
4662   aij->free_a       = PETSC_FALSE;
4663   aij->free_ij      = PETSC_FALSE;
4664 
4665   for (ii=0; ii<m; ii++) {
4666     aij->ilen[ii] = aij->imax[ii] = i[ii+1] - i[ii];
4667 #if defined(PETSC_USE_DEBUG)
4668     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]);
4669     for (jj=i[ii]+1; jj<i[ii+1]; jj++) {
4670       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);
4671       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);
4672     }
4673 #endif
4674   }
4675 #if defined(PETSC_USE_DEBUG)
4676   for (ii=0; ii<aij->i[m]; ii++) {
4677     if (j[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %d index = %d",ii,j[ii]);
4678     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]);
4679   }
4680 #endif
4681 
4682   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4683   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4684   PetscFunctionReturn(0);
4685 }
4686 #undef __FUNCT__
4687 #define __FUNCT__ "MatCreateSeqAIJFromTriple"
4688 /*@C
4689      MatCreateSeqAIJFromTriple - Creates an sequential AIJ matrix using matrix elements (in COO format)
4690               provided by the user.
4691 
4692       Collective on MPI_Comm
4693 
4694    Input Parameters:
4695 +   comm - must be an MPI communicator of size 1
4696 .   m   - number of rows
4697 .   n   - number of columns
4698 .   i   - row indices
4699 .   j   - column indices
4700 .   a   - matrix values
4701 .   nz  - number of nonzeros
4702 -   idx - 0 or 1 based
4703 
4704    Output Parameter:
4705 .   mat - the matrix
4706 
4707    Level: intermediate
4708 
4709    Notes:
4710        The i and j indices are 0 based
4711 
4712        The format which is used for the sparse matrix input, is equivalent to a
4713     row-major ordering.. i.e for the following matrix, the input data expected is
4714     as shown:
4715 
4716         1 0 0
4717         2 0 3
4718         4 5 6
4719 
4720         i =  {0,1,1,2,2,2}
4721         j =  {0,0,2,0,1,2}
4722         v =  {1,2,3,4,5,6}
4723 
4724 
4725 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateSeqAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4726 
4727 @*/
4728 PetscErrorCode  MatCreateSeqAIJFromTriple(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt *i,PetscInt *j,PetscScalar *a,Mat *mat,PetscInt nz,PetscBool idx)
4729 {
4730   PetscErrorCode ierr;
4731   PetscInt       ii, *nnz, one = 1,row,col;
4732 
4733 
4734   PetscFunctionBegin;
4735   ierr = PetscMalloc(m*sizeof(PetscInt),&nnz);CHKERRQ(ierr);
4736   ierr = PetscMemzero(nnz,m*sizeof(PetscInt));CHKERRQ(ierr);
4737   for (ii = 0; ii < nz; ii++) {
4738     nnz[i[ii]] += 1;
4739   }
4740   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4741   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4742   /* ierr = MatSetBlockSizes(*mat,,);CHKERRQ(ierr); */
4743   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4744   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,0,nnz);CHKERRQ(ierr);
4745   for (ii = 0; ii < nz; ii++) {
4746     if (idx) {
4747       row = i[ii] - 1;
4748       col = j[ii] - 1;
4749     } else {
4750       row = i[ii];
4751       col = j[ii];
4752     }
4753     ierr = MatSetValues(*mat,one,&row,one,&col,&a[ii],ADD_VALUES);CHKERRQ(ierr);
4754   }
4755   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4756   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4757   ierr = PetscFree(nnz);CHKERRQ(ierr);
4758   PetscFunctionReturn(0);
4759 }
4760 
4761 #undef __FUNCT__
4762 #define __FUNCT__ "MatSetColoring_SeqAIJ"
4763 PetscErrorCode MatSetColoring_SeqAIJ(Mat A,ISColoring coloring)
4764 {
4765   PetscErrorCode ierr;
4766   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
4767 
4768   PetscFunctionBegin;
4769   if (coloring->ctype == IS_COLORING_GLOBAL) {
4770     ierr        = ISColoringReference(coloring);CHKERRQ(ierr);
4771     a->coloring = coloring;
4772   } else if (coloring->ctype == IS_COLORING_GHOSTED) {
4773     PetscInt        i,*larray;
4774     ISColoring      ocoloring;
4775     ISColoringValue *colors;
4776 
4777     /* set coloring for diagonal portion */
4778     ierr = PetscMalloc(A->cmap->n*sizeof(PetscInt),&larray);CHKERRQ(ierr);
4779     for (i=0; i<A->cmap->n; i++) larray[i] = i;
4780     ierr = ISGlobalToLocalMappingApply(A->cmap->mapping,IS_GTOLM_MASK,A->cmap->n,larray,NULL,larray);CHKERRQ(ierr);
4781     ierr = PetscMalloc(A->cmap->n*sizeof(ISColoringValue),&colors);CHKERRQ(ierr);
4782     for (i=0; i<A->cmap->n; i++) colors[i] = coloring->colors[larray[i]];
4783     ierr        = PetscFree(larray);CHKERRQ(ierr);
4784     ierr        = ISColoringCreate(PETSC_COMM_SELF,coloring->n,A->cmap->n,colors,&ocoloring);CHKERRQ(ierr);
4785     a->coloring = ocoloring;
4786   }
4787   PetscFunctionReturn(0);
4788 }
4789 
4790 #undef __FUNCT__
4791 #define __FUNCT__ "MatSetValuesAdifor_SeqAIJ"
4792 PetscErrorCode MatSetValuesAdifor_SeqAIJ(Mat A,PetscInt nl,void *advalues)
4793 {
4794   Mat_SeqAIJ      *a      = (Mat_SeqAIJ*)A->data;
4795   PetscInt        m       = A->rmap->n,*ii = a->i,*jj = a->j,nz,i,j;
4796   MatScalar       *v      = a->a;
4797   PetscScalar     *values = (PetscScalar*)advalues;
4798   ISColoringValue *color;
4799 
4800   PetscFunctionBegin;
4801   if (!a->coloring) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Coloring not set for matrix");
4802   color = a->coloring->colors;
4803   /* loop over rows */
4804   for (i=0; i<m; i++) {
4805     nz = ii[i+1] - ii[i];
4806     /* loop over columns putting computed value into matrix */
4807     for (j=0; j<nz; j++) *v++ = values[color[*jj++]];
4808     values += nl; /* jump to next row of derivatives */
4809   }
4810   PetscFunctionReturn(0);
4811 }
4812 
4813 #undef __FUNCT__
4814 #define __FUNCT__ "MatSeqAIJInvalidateDiagonal"
4815 PetscErrorCode MatSeqAIJInvalidateDiagonal(Mat A)
4816 {
4817   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data;
4818   PetscErrorCode ierr;
4819 
4820   PetscFunctionBegin;
4821   a->idiagvalid  = PETSC_FALSE;
4822   a->ibdiagvalid = PETSC_FALSE;
4823 
4824   ierr = MatSeqAIJInvalidateDiagonal_Inode(A);CHKERRQ(ierr);
4825   PetscFunctionReturn(0);
4826 }
4827 
4828 /*
4829     Special version for direct calls from Fortran
4830 */
4831 #include <petsc-private/fortranimpl.h>
4832 #if defined(PETSC_HAVE_FORTRAN_CAPS)
4833 #define matsetvaluesseqaij_ MATSETVALUESSEQAIJ
4834 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
4835 #define matsetvaluesseqaij_ matsetvaluesseqaij
4836 #endif
4837 
4838 /* Change these macros so can be used in void function */
4839 #undef CHKERRQ
4840 #define CHKERRQ(ierr) CHKERRABORT(PetscObjectComm((PetscObject)A),ierr)
4841 #undef SETERRQ2
4842 #define SETERRQ2(comm,ierr,b,c,d) CHKERRABORT(comm,ierr)
4843 #undef SETERRQ3
4844 #define SETERRQ3(comm,ierr,b,c,d,e) CHKERRABORT(comm,ierr)
4845 
4846 #undef __FUNCT__
4847 #define __FUNCT__ "matsetvaluesseqaij_"
4848 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)
4849 {
4850   Mat            A  = *AA;
4851   PetscInt       m  = *mm, n = *nn;
4852   InsertMode     is = *isis;
4853   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
4854   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
4855   PetscInt       *imax,*ai,*ailen;
4856   PetscErrorCode ierr;
4857   PetscInt       *aj,nonew = a->nonew,lastcol = -1;
4858   MatScalar      *ap,value,*aa;
4859   PetscBool      ignorezeroentries = a->ignorezeroentries;
4860   PetscBool      roworiented       = a->roworiented;
4861 
4862   PetscFunctionBegin;
4863   MatCheckPreallocated(A,1);
4864   imax  = a->imax;
4865   ai    = a->i;
4866   ailen = a->ilen;
4867   aj    = a->j;
4868   aa    = a->a;
4869 
4870   for (k=0; k<m; k++) { /* loop over added rows */
4871     row = im[k];
4872     if (row < 0) continue;
4873 #if defined(PETSC_USE_DEBUG)
4874     if (row >= A->rmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Row too large");
4875 #endif
4876     rp   = aj + ai[row]; ap = aa + ai[row];
4877     rmax = imax[row]; nrow = ailen[row];
4878     low  = 0;
4879     high = nrow;
4880     for (l=0; l<n; l++) { /* loop over added columns */
4881       if (in[l] < 0) continue;
4882 #if defined(PETSC_USE_DEBUG)
4883       if (in[l] >= A->cmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Column too large");
4884 #endif
4885       col = in[l];
4886       if (roworiented) value = v[l + k*n];
4887       else value = v[k + l*m];
4888 
4889       if (value == 0.0 && ignorezeroentries && (is == ADD_VALUES)) continue;
4890 
4891       if (col <= lastcol) low = 0;
4892       else high = nrow;
4893       lastcol = col;
4894       while (high-low > 5) {
4895         t = (low+high)/2;
4896         if (rp[t] > col) high = t;
4897         else             low  = t;
4898       }
4899       for (i=low; i<high; i++) {
4900         if (rp[i] > col) break;
4901         if (rp[i] == col) {
4902           if (is == ADD_VALUES) ap[i] += value;
4903           else                  ap[i] = value;
4904           goto noinsert;
4905         }
4906       }
4907       if (value == 0.0 && ignorezeroentries) goto noinsert;
4908       if (nonew == 1) goto noinsert;
4909       if (nonew == -1) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero in the matrix");
4910       MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
4911       N = nrow++ - 1; a->nz++; high++;
4912       /* shift up all the later entries in this row */
4913       for (ii=N; ii>=i; ii--) {
4914         rp[ii+1] = rp[ii];
4915         ap[ii+1] = ap[ii];
4916       }
4917       rp[i] = col;
4918       ap[i] = value;
4919 noinsert:;
4920       low = i + 1;
4921     }
4922     ailen[row] = nrow;
4923   }
4924   A->same_nonzero = PETSC_FALSE;
4925   PetscFunctionReturnVoid();
4926 }
4927 
4928 
4929