xref: /petsc/src/mat/impls/aij/seq/aij.c (revision 0cf4912df4adc06c8ddc52a454e94c03b8afd127)
1 
2 /*
3     Defines the basic matrix operations for the AIJ (compressed row)
4   matrix storage format.
5 */
6 
7 
8 #include <../src/mat/impls/aij/seq/aij.h>          /*I "petscmat.h" I*/
9 #include <petscblaslapack.h>
10 #include <petscbt.h>
11 #include <petsc-private/kernels/blocktranspose.h>
12 #if defined(PETSC_THREADCOMM_ACTIVE)
13 #include <petscthreadcomm.h>
14 #endif
15 
16 #undef __FUNCT__
17 #define __FUNCT__ "MatGetColumnNorms_SeqAIJ"
18 PetscErrorCode MatGetColumnNorms_SeqAIJ(Mat A,NormType type,PetscReal *norms)
19 {
20   PetscErrorCode ierr;
21   PetscInt       i,m,n;
22   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)A->data;
23 
24   PetscFunctionBegin;
25   ierr = MatGetSize(A,&m,&n);CHKERRQ(ierr);
26   ierr = PetscMemzero(norms,n*sizeof(PetscReal));CHKERRQ(ierr);
27   if (type == NORM_2) {
28     for (i=0; i<aij->i[m]; i++) {
29       norms[aij->j[i]] += PetscAbsScalar(aij->a[i]*aij->a[i]);
30     }
31   } else if (type == NORM_1) {
32     for (i=0; i<aij->i[m]; i++) {
33       norms[aij->j[i]] += PetscAbsScalar(aij->a[i]);
34     }
35   } else if (type == NORM_INFINITY) {
36     for (i=0; i<aij->i[m]; i++) {
37       norms[aij->j[i]] = PetscMax(PetscAbsScalar(aij->a[i]),norms[aij->j[i]]);
38     }
39   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Unknown NormType");
40 
41   if (type == NORM_2) {
42     for (i=0; i<n; i++) norms[i] = PetscSqrtReal(norms[i]);
43   }
44   PetscFunctionReturn(0);
45 }
46 
47 #undef __FUNCT__
48 #define __FUNCT__ "MatFindZeroDiagonals_SeqAIJ_Private"
49 PetscErrorCode MatFindZeroDiagonals_SeqAIJ_Private(Mat A,PetscInt *nrows,PetscInt **zrows)
50 {
51   Mat_SeqAIJ      *a  = (Mat_SeqAIJ*)A->data;
52   const MatScalar *aa = a->a;
53   PetscInt        i,m=A->rmap->n,cnt = 0;
54   const PetscInt  *jj = a->j,*diag;
55   PetscInt        *rows;
56   PetscErrorCode  ierr;
57 
58   PetscFunctionBegin;
59   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
60   diag = a->diag;
61   for (i=0; i<m; i++) {
62     if ((jj[diag[i]] != i) || (aa[diag[i]] == 0.0)) {
63       cnt++;
64     }
65   }
66   ierr = PetscMalloc(cnt*sizeof(PetscInt),&rows);CHKERRQ(ierr);
67   cnt  = 0;
68   for (i=0; i<m; i++) {
69     if ((jj[diag[i]] != i) || (aa[diag[i]] == 0.0)) {
70       rows[cnt++] = i;
71     }
72   }
73   *nrows = cnt;
74   *zrows = rows;
75   PetscFunctionReturn(0);
76 }
77 
78 #undef __FUNCT__
79 #define __FUNCT__ "MatFindZeroDiagonals_SeqAIJ"
80 PetscErrorCode MatFindZeroDiagonals_SeqAIJ(Mat A,IS *zrows)
81 {
82   PetscInt       nrows,*rows;
83   PetscErrorCode ierr;
84 
85   PetscFunctionBegin;
86   *zrows = NULL;
87   ierr   = MatFindZeroDiagonals_SeqAIJ_Private(A,&nrows,&rows);CHKERRQ(ierr);
88   ierr   = ISCreateGeneral(PetscObjectComm((PetscObject)A),nrows,rows,PETSC_OWN_POINTER,zrows);CHKERRQ(ierr);
89   PetscFunctionReturn(0);
90 }
91 
92 #undef __FUNCT__
93 #define __FUNCT__ "MatFindNonzeroRows_SeqAIJ"
94 PetscErrorCode MatFindNonzeroRows_SeqAIJ(Mat A,IS *keptrows)
95 {
96   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
97   const MatScalar *aa;
98   PetscInt        m=A->rmap->n,cnt = 0;
99   const PetscInt  *ii;
100   PetscInt        n,i,j,*rows;
101   PetscErrorCode  ierr;
102 
103   PetscFunctionBegin;
104   *keptrows = 0;
105   ii        = a->i;
106   for (i=0; i<m; i++) {
107     n = ii[i+1] - ii[i];
108     if (!n) {
109       cnt++;
110       goto ok1;
111     }
112     aa = a->a + ii[i];
113     for (j=0; j<n; j++) {
114       if (aa[j] != 0.0) goto ok1;
115     }
116     cnt++;
117 ok1:;
118   }
119   if (!cnt) PetscFunctionReturn(0);
120   ierr = PetscMalloc((A->rmap->n-cnt)*sizeof(PetscInt),&rows);CHKERRQ(ierr);
121   cnt  = 0;
122   for (i=0; i<m; i++) {
123     n = ii[i+1] - ii[i];
124     if (!n) continue;
125     aa = a->a + ii[i];
126     for (j=0; j<n; j++) {
127       if (aa[j] != 0.0) {
128         rows[cnt++] = i;
129         break;
130       }
131     }
132   }
133   ierr = ISCreateGeneral(PETSC_COMM_SELF,cnt,rows,PETSC_OWN_POINTER,keptrows);CHKERRQ(ierr);
134   PetscFunctionReturn(0);
135 }
136 
137 #undef __FUNCT__
138 #define __FUNCT__ "MatDiagonalSet_SeqAIJ"
139 PetscErrorCode  MatDiagonalSet_SeqAIJ(Mat Y,Vec D,InsertMode is)
140 {
141   PetscErrorCode ierr;
142   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) Y->data;
143   PetscInt       i,*diag, m = Y->rmap->n;
144   MatScalar      *aa = aij->a;
145   PetscScalar    *v;
146   PetscBool      missing;
147 
148   PetscFunctionBegin;
149   if (Y->assembled) {
150     ierr = MatMissingDiagonal_SeqAIJ(Y,&missing,NULL);CHKERRQ(ierr);
151     if (!missing) {
152       diag = aij->diag;
153       ierr = VecGetArray(D,&v);CHKERRQ(ierr);
154       if (is == INSERT_VALUES) {
155         for (i=0; i<m; i++) {
156           aa[diag[i]] = v[i];
157         }
158       } else {
159         for (i=0; i<m; i++) {
160           aa[diag[i]] += v[i];
161         }
162       }
163       ierr = VecRestoreArray(D,&v);CHKERRQ(ierr);
164       PetscFunctionReturn(0);
165     }
166     ierr = MatSeqAIJInvalidateDiagonal(Y);CHKERRQ(ierr);
167   }
168   ierr = MatDiagonalSet_Default(Y,D,is);CHKERRQ(ierr);
169   PetscFunctionReturn(0);
170 }
171 
172 #undef __FUNCT__
173 #define __FUNCT__ "MatGetRowIJ_SeqAIJ"
174 PetscErrorCode MatGetRowIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *m,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
175 {
176   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
177   PetscErrorCode ierr;
178   PetscInt       i,ishift;
179 
180   PetscFunctionBegin;
181   *m = A->rmap->n;
182   if (!ia) PetscFunctionReturn(0);
183   ishift = 0;
184   if (symmetric && !A->structurally_symmetric) {
185     ierr = MatToSymmetricIJ_SeqAIJ(A->rmap->n,a->i,a->j,ishift,oshift,(PetscInt**)ia,(PetscInt**)ja);CHKERRQ(ierr);
186   } else if (oshift == 1) {
187     PetscInt *tia;
188     PetscInt nz = a->i[A->rmap->n];
189     /* malloc space and  add 1 to i and j indices */
190     ierr = PetscMalloc((A->rmap->n+1)*sizeof(PetscInt),&tia);CHKERRQ(ierr);
191     for (i=0; i<A->rmap->n+1; i++) tia[i] = a->i[i] + 1;
192     *ia = tia;
193     if (ja) {
194       PetscInt *tja;
195       ierr = PetscMalloc((nz+1)*sizeof(PetscInt),&tja);CHKERRQ(ierr);
196       for (i=0; i<nz; i++) tja[i] = a->j[i] + 1;
197       *ja = tja;
198     }
199   } else {
200     *ia = a->i;
201     if (ja) *ja = a->j;
202   }
203   PetscFunctionReturn(0);
204 }
205 
206 #undef __FUNCT__
207 #define __FUNCT__ "MatRestoreRowIJ_SeqAIJ"
208 PetscErrorCode MatRestoreRowIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
209 {
210   PetscErrorCode ierr;
211 
212   PetscFunctionBegin;
213   if (!ia) PetscFunctionReturn(0);
214   if ((symmetric && !A->structurally_symmetric) || oshift == 1) {
215     ierr = PetscFree(*ia);CHKERRQ(ierr);
216     if (ja) {ierr = PetscFree(*ja);CHKERRQ(ierr);}
217   }
218   PetscFunctionReturn(0);
219 }
220 
221 #undef __FUNCT__
222 #define __FUNCT__ "MatGetColumnIJ_SeqAIJ"
223 PetscErrorCode MatGetColumnIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
224 {
225   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
226   PetscErrorCode ierr;
227   PetscInt       i,*collengths,*cia,*cja,n = A->cmap->n,m = A->rmap->n;
228   PetscInt       nz = a->i[m],row,*jj,mr,col;
229 
230   PetscFunctionBegin;
231   *nn = n;
232   if (!ia) PetscFunctionReturn(0);
233   if (symmetric) {
234     ierr = MatToSymmetricIJ_SeqAIJ(A->rmap->n,a->i,a->j,0,oshift,(PetscInt**)ia,(PetscInt**)ja);CHKERRQ(ierr);
235   } else {
236     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&collengths);CHKERRQ(ierr);
237     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
238     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&cia);CHKERRQ(ierr);
239     ierr = PetscMalloc((nz+1)*sizeof(PetscInt),&cja);CHKERRQ(ierr);
240     jj   = a->j;
241     for (i=0; i<nz; i++) {
242       collengths[jj[i]]++;
243     }
244     cia[0] = oshift;
245     for (i=0; i<n; i++) {
246       cia[i+1] = cia[i] + collengths[i];
247     }
248     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
249     jj   = a->j;
250     for (row=0; row<m; row++) {
251       mr = a->i[row+1] - a->i[row];
252       for (i=0; i<mr; i++) {
253         col = *jj++;
254 
255         cja[cia[col] + collengths[col]++ - oshift] = row + oshift;
256       }
257     }
258     ierr = PetscFree(collengths);CHKERRQ(ierr);
259     *ia  = cia; *ja = cja;
260   }
261   PetscFunctionReturn(0);
262 }
263 
264 #undef __FUNCT__
265 #define __FUNCT__ "MatRestoreColumnIJ_SeqAIJ"
266 PetscErrorCode MatRestoreColumnIJ_SeqAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
267 {
268   PetscErrorCode ierr;
269 
270   PetscFunctionBegin;
271   if (!ia) PetscFunctionReturn(0);
272 
273   ierr = PetscFree(*ia);CHKERRQ(ierr);
274   ierr = PetscFree(*ja);CHKERRQ(ierr);
275   PetscFunctionReturn(0);
276 }
277 
278 /*
279  MatGetColumnIJ_SeqAIJ_Color() and MatRestoreColumnIJ_SeqAIJ_Color() are customized from
280  MatGetColumnIJ_SeqAIJ() and MatRestoreColumnIJ_SeqAIJ() by adding an output
281  spidx[], index of a->a, to be used in MatTransposeColoringCreate_SeqAIJ() and MatFDColoringCreate_SeqAIJ()
282 */
283 #undef __FUNCT__
284 #define __FUNCT__ "MatGetColumnIJ_SeqAIJ_Color"
285 PetscErrorCode MatGetColumnIJ_SeqAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
286 {
287   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
288   PetscErrorCode ierr;
289   PetscInt       i,*collengths,*cia,*cja,n = A->cmap->n,m = A->rmap->n;
290   PetscInt       nz = a->i[m],row,*jj,mr,col;
291   PetscInt       *cspidx;
292 
293   PetscFunctionBegin;
294   *nn = n;
295   if (!ia) PetscFunctionReturn(0);
296   if (symmetric) {
297     SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"MatGetColumnIJ_SeqAIJ_Color() not supported for the case symmetric");
298     ierr = MatToSymmetricIJ_SeqAIJ(A->rmap->n,a->i,a->j,0,oshift,(PetscInt**)ia,(PetscInt**)ja);CHKERRQ(ierr);
299   } else {
300     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&collengths);CHKERRQ(ierr);
301     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
302     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&cia);CHKERRQ(ierr);
303     ierr = PetscMalloc((nz+1)*sizeof(PetscInt),&cja);CHKERRQ(ierr);
304     ierr = PetscMalloc((nz+1)*sizeof(PetscInt),&cspidx);CHKERRQ(ierr);
305     jj   = a->j;
306     for (i=0; i<nz; i++) {
307       collengths[jj[i]]++;
308     }
309     cia[0] = oshift;
310     for (i=0; i<n; i++) {
311       cia[i+1] = cia[i] + collengths[i];
312     }
313     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
314     jj   = a->j;
315     for (row=0; row<m; row++) {
316       mr = a->i[row+1] - a->i[row];
317       for (i=0; i<mr; i++) {
318         col = *jj++;
319 
320         cspidx[cia[col] + collengths[col] - oshift] = a->i[row] + i; /* index of a->j */
321         cja[cia[col] + collengths[col]++ - oshift]  = row + oshift;
322       }
323     }
324     ierr   = PetscFree(collengths);CHKERRQ(ierr);
325     *ia    = cia; *ja = cja;
326     *spidx = cspidx;
327   }
328   PetscFunctionReturn(0);
329 }
330 
331 #undef __FUNCT__
332 #define __FUNCT__ "MatRestoreColumnIJ_SeqAIJ_Color"
333 PetscErrorCode MatRestoreColumnIJ_SeqAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
334 {
335   PetscErrorCode ierr;
336 
337   PetscFunctionBegin;
338   if (!ia) PetscFunctionReturn(0);
339 
340   ierr = PetscFree(*ia);CHKERRQ(ierr);
341   ierr = PetscFree(*ja);CHKERRQ(ierr);
342   ierr = PetscFree(*spidx);CHKERRQ(ierr);
343   PetscFunctionReturn(0);
344 }
345 
346 #undef __FUNCT__
347 #define __FUNCT__ "MatSetValuesRow_SeqAIJ"
348 PetscErrorCode MatSetValuesRow_SeqAIJ(Mat A,PetscInt row,const PetscScalar v[])
349 {
350   Mat_SeqAIJ     *a  = (Mat_SeqAIJ*)A->data;
351   PetscInt       *ai = a->i;
352   PetscErrorCode ierr;
353 
354   PetscFunctionBegin;
355   ierr = PetscMemcpy(a->a+ai[row],v,(ai[row+1]-ai[row])*sizeof(PetscScalar));CHKERRQ(ierr);
356   PetscFunctionReturn(0);
357 }
358 
359 #undef __FUNCT__
360 #define __FUNCT__ "MatSetValues_SeqAIJ"
361 PetscErrorCode MatSetValues_SeqAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
362 {
363   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
364   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
365   PetscInt       *imax = a->imax,*ai = a->i,*ailen = a->ilen;
366   PetscErrorCode ierr;
367   PetscInt       *aj = a->j,nonew = a->nonew,lastcol = -1;
368   MatScalar      *ap,value,*aa = a->a;
369   PetscBool      ignorezeroentries = a->ignorezeroentries;
370   PetscBool      roworiented       = a->roworiented;
371 
372   PetscFunctionBegin;
373   if (v) PetscValidScalarPointer(v,6);
374   for (k=0; k<m; k++) { /* loop over added rows */
375     row = im[k];
376     if (row < 0) continue;
377 #if defined(PETSC_USE_DEBUG)
378     if (row >= A->rmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,A->rmap->n-1);
379 #endif
380     rp   = aj + ai[row]; ap = aa + ai[row];
381     rmax = imax[row]; nrow = ailen[row];
382     low  = 0;
383     high = nrow;
384     for (l=0; l<n; l++) { /* loop over added columns */
385       if (in[l] < 0) continue;
386 #if defined(PETSC_USE_DEBUG)
387       if (in[l] >= A->cmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],A->cmap->n-1);
388 #endif
389       col = in[l];
390       if (v) {
391         if (roworiented) {
392           value = v[l + k*n];
393         } else {
394           value = v[k + l*m];
395         }
396       } else {
397         value = 0.;
398       }
399       if (value == 0.0 && ignorezeroentries && (is == ADD_VALUES)) continue;
400 
401       if (col <= lastcol) low = 0;
402       else high = nrow;
403       lastcol = col;
404       while (high-low > 5) {
405         t = (low+high)/2;
406         if (rp[t] > col) high = t;
407         else low = t;
408       }
409       for (i=low; i<high; i++) {
410         if (rp[i] > col) break;
411         if (rp[i] == col) {
412           if (is == ADD_VALUES) ap[i] += value;
413           else ap[i] = value;
414           low = i + 1;
415           goto noinsert;
416         }
417       }
418       if (value == 0.0 && ignorezeroentries) goto noinsert;
419       if (nonew == 1) goto noinsert;
420       if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero at (%D,%D) in the matrix",row,col);
421       MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
422       N = nrow++ - 1; a->nz++; high++;
423       /* shift up all the later entries in this row */
424       for (ii=N; ii>=i; ii--) {
425         rp[ii+1] = rp[ii];
426         ap[ii+1] = ap[ii];
427       }
428       rp[i] = col;
429       ap[i] = value;
430       low   = i + 1;
431 noinsert:;
432     }
433     ailen[row] = nrow;
434   }
435   A->same_nonzero = PETSC_FALSE;
436   PetscFunctionReturn(0);
437 }
438 
439 
440 #undef __FUNCT__
441 #define __FUNCT__ "MatGetValues_SeqAIJ"
442 PetscErrorCode MatGetValues_SeqAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],PetscScalar v[])
443 {
444   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
445   PetscInt   *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
446   PetscInt   *ai = a->i,*ailen = a->ilen;
447   MatScalar  *ap,*aa = a->a;
448 
449   PetscFunctionBegin;
450   for (k=0; k<m; k++) { /* loop over rows */
451     row = im[k];
452     if (row < 0) {v += n; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",row); */
453     if (row >= A->rmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,A->rmap->n-1);
454     rp   = aj + ai[row]; ap = aa + ai[row];
455     nrow = ailen[row];
456     for (l=0; l<n; l++) { /* loop over columns */
457       if (in[l] < 0) {v++; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column: %D",in[l]); */
458       if (in[l] >= A->cmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],A->cmap->n-1);
459       col  = in[l];
460       high = nrow; low = 0; /* assume unsorted */
461       while (high-low > 5) {
462         t = (low+high)/2;
463         if (rp[t] > col) high = t;
464         else low = t;
465       }
466       for (i=low; i<high; i++) {
467         if (rp[i] > col) break;
468         if (rp[i] == col) {
469           *v++ = ap[i];
470           goto finished;
471         }
472       }
473       *v++ = 0.0;
474 finished:;
475     }
476   }
477   PetscFunctionReturn(0);
478 }
479 
480 
481 #undef __FUNCT__
482 #define __FUNCT__ "MatView_SeqAIJ_Binary"
483 PetscErrorCode MatView_SeqAIJ_Binary(Mat A,PetscViewer viewer)
484 {
485   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
486   PetscErrorCode ierr;
487   PetscInt       i,*col_lens;
488   int            fd;
489   FILE           *file;
490 
491   PetscFunctionBegin;
492   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
493   ierr = PetscMalloc((4+A->rmap->n)*sizeof(PetscInt),&col_lens);CHKERRQ(ierr);
494 
495   col_lens[0] = MAT_FILE_CLASSID;
496   col_lens[1] = A->rmap->n;
497   col_lens[2] = A->cmap->n;
498   col_lens[3] = a->nz;
499 
500   /* store lengths of each row and write (including header) to file */
501   for (i=0; i<A->rmap->n; i++) {
502     col_lens[4+i] = a->i[i+1] - a->i[i];
503   }
504   ierr = PetscBinaryWrite(fd,col_lens,4+A->rmap->n,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
505   ierr = PetscFree(col_lens);CHKERRQ(ierr);
506 
507   /* store column indices (zero start index) */
508   ierr = PetscBinaryWrite(fd,a->j,a->nz,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
509 
510   /* store nonzero values */
511   ierr = PetscBinaryWrite(fd,a->a,a->nz,PETSC_SCALAR,PETSC_FALSE);CHKERRQ(ierr);
512 
513   ierr = PetscViewerBinaryGetInfoPointer(viewer,&file);CHKERRQ(ierr);
514   if (file) {
515     fprintf(file,"-matload_block_size %d\n",(int)A->rmap->bs);
516   }
517   PetscFunctionReturn(0);
518 }
519 
520 extern PetscErrorCode MatSeqAIJFactorInfo_Matlab(Mat,PetscViewer);
521 
522 #undef __FUNCT__
523 #define __FUNCT__ "MatView_SeqAIJ_ASCII"
524 PetscErrorCode MatView_SeqAIJ_ASCII(Mat A,PetscViewer viewer)
525 {
526   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
527   PetscErrorCode    ierr;
528   PetscInt          i,j,m = A->rmap->n,shift=0;
529   const char        *name;
530   PetscViewerFormat format;
531 
532   PetscFunctionBegin;
533   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
534   if (format == PETSC_VIEWER_ASCII_MATLAB) {
535     PetscInt nofinalvalue = 0;
536     if (m && ((a->i[m] == a->i[m-1]) || (a->j[a->nz-1] != A->cmap->n-!shift))) {
537       nofinalvalue = 1;
538     }
539     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
540     ierr = PetscViewerASCIIPrintf(viewer,"%% Size = %D %D \n",m,A->cmap->n);CHKERRQ(ierr);
541     ierr = PetscViewerASCIIPrintf(viewer,"%% Nonzeros = %D \n",a->nz);CHKERRQ(ierr);
542     ierr = PetscViewerASCIIPrintf(viewer,"zzz = zeros(%D,3);\n",a->nz+nofinalvalue);CHKERRQ(ierr);
543     ierr = PetscViewerASCIIPrintf(viewer,"zzz = [\n");CHKERRQ(ierr);
544 
545     for (i=0; i<m; i++) {
546       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
547 #if defined(PETSC_USE_COMPLEX)
548         ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e + %18.16ei \n",i+1,a->j[j]+!shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
549 #else
550         ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e\n",i+1,a->j[j]+!shift,a->a[j]);CHKERRQ(ierr);
551 #endif
552       }
553     }
554     if (nofinalvalue) {
555       ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e\n",m,A->cmap->n,0.0);CHKERRQ(ierr);
556     }
557     ierr = PetscObjectGetName((PetscObject)A,&name);CHKERRQ(ierr);
558     ierr = PetscViewerASCIIPrintf(viewer,"];\n %s = spconvert(zzz);\n",name);CHKERRQ(ierr);
559     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
560   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO || format == PETSC_VIEWER_ASCII_INFO) {
561     PetscFunctionReturn(0);
562   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
563     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
564     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)A,viewer);CHKERRQ(ierr);
565     for (i=0; i<m; i++) {
566       ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
567       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
568 #if defined(PETSC_USE_COMPLEX)
569         if (PetscImaginaryPart(a->a[j]) > 0.0 && PetscRealPart(a->a[j]) != 0.0) {
570           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
571         } else if (PetscImaginaryPart(a->a[j]) < 0.0 && PetscRealPart(a->a[j]) != 0.0) {
572           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
573         } else if (PetscRealPart(a->a[j]) != 0.0) {
574           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,PetscRealPart(a->a[j]));CHKERRQ(ierr);
575         }
576 #else
577         if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,(double)a->a[j]);CHKERRQ(ierr);}
578 #endif
579       }
580       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
581     }
582     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
583   } else if (format == PETSC_VIEWER_ASCII_SYMMODU) {
584     PetscInt nzd=0,fshift=1,*sptr;
585     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
586     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)A,viewer);CHKERRQ(ierr);
587     ierr = PetscMalloc((m+1)*sizeof(PetscInt),&sptr);CHKERRQ(ierr);
588     for (i=0; i<m; i++) {
589       sptr[i] = nzd+1;
590       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
591         if (a->j[j] >= i) {
592 #if defined(PETSC_USE_COMPLEX)
593           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) nzd++;
594 #else
595           if (a->a[j] != 0.0) nzd++;
596 #endif
597         }
598       }
599     }
600     sptr[m] = nzd+1;
601     ierr    = PetscViewerASCIIPrintf(viewer," %D %D\n\n",m,nzd);CHKERRQ(ierr);
602     for (i=0; i<m+1; i+=6) {
603       if (i+4<m) {
604         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2],sptr[i+3],sptr[i+4],sptr[i+5]);CHKERRQ(ierr);
605       } else if (i+3<m) {
606         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2],sptr[i+3],sptr[i+4]);CHKERRQ(ierr);
607       } else if (i+2<m) {
608         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2],sptr[i+3]);CHKERRQ(ierr);
609       } else if (i+1<m) {
610         ierr = PetscViewerASCIIPrintf(viewer," %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2]);CHKERRQ(ierr);
611       } else if (i<m) {
612         ierr = PetscViewerASCIIPrintf(viewer," %D %D\n",sptr[i],sptr[i+1]);CHKERRQ(ierr);
613       } else {
614         ierr = PetscViewerASCIIPrintf(viewer," %D\n",sptr[i]);CHKERRQ(ierr);
615       }
616     }
617     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
618     ierr = PetscFree(sptr);CHKERRQ(ierr);
619     for (i=0; i<m; i++) {
620       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
621         if (a->j[j] >= i) {ierr = PetscViewerASCIIPrintf(viewer," %D ",a->j[j]+fshift);CHKERRQ(ierr);}
622       }
623       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
624     }
625     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
626     for (i=0; i<m; i++) {
627       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
628         if (a->j[j] >= i) {
629 #if defined(PETSC_USE_COMPLEX)
630           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) {
631             ierr = PetscViewerASCIIPrintf(viewer," %18.16e %18.16e ",PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
632           }
633 #else
634           if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," %18.16e ",a->a[j]);CHKERRQ(ierr);}
635 #endif
636         }
637       }
638       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
639     }
640     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
641   } else if (format == PETSC_VIEWER_ASCII_DENSE) {
642     PetscInt    cnt = 0,jcnt;
643     PetscScalar value;
644 
645     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
646     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)A,viewer);CHKERRQ(ierr);
647     for (i=0; i<m; i++) {
648       jcnt = 0;
649       for (j=0; j<A->cmap->n; j++) {
650         if (jcnt < a->i[i+1]-a->i[i] && j == a->j[cnt]) {
651           value = a->a[cnt++];
652           jcnt++;
653         } else {
654           value = 0.0;
655         }
656 #if defined(PETSC_USE_COMPLEX)
657         ierr = PetscViewerASCIIPrintf(viewer," %7.5e+%7.5e i ",PetscRealPart(value),PetscImaginaryPart(value));CHKERRQ(ierr);
658 #else
659         ierr = PetscViewerASCIIPrintf(viewer," %7.5e ",value);CHKERRQ(ierr);
660 #endif
661       }
662       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
663     }
664     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
665   } else if (format == PETSC_VIEWER_ASCII_MATRIXMARKET) {
666     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
667     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)A,viewer);CHKERRQ(ierr);
668 #if defined(PETSC_USE_COMPLEX)
669     ierr = PetscViewerASCIIPrintf(viewer,"%%matrix complex general\n");CHKERRQ(ierr);
670 #else
671     ierr = PetscViewerASCIIPrintf(viewer,"%%matrix real general\n");CHKERRQ(ierr);
672 #endif
673     ierr = PetscViewerASCIIPrintf(viewer,"%D %D %D\n", m, A->cmap->n, a->nz);CHKERRQ(ierr);
674     for (i=0; i<m; i++) {
675       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
676 #if defined(PETSC_USE_COMPLEX)
677         if (PetscImaginaryPart(a->a[j]) > 0.0) {
678           ierr = PetscViewerASCIIPrintf(viewer,"%D %D, %g %g\n", i+shift,a->j[j]+shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
679         } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
680           ierr = PetscViewerASCIIPrintf(viewer,"%D %D, %g -%g\n", i+shift,a->j[j]+shift,PetscRealPart(a->a[j]),-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
681         } else {
682           ierr = PetscViewerASCIIPrintf(viewer,"%D %D, %g\n", i+shift,a->j[j]+shift,PetscRealPart(a->a[j]));CHKERRQ(ierr);
683         }
684 #else
685         ierr = PetscViewerASCIIPrintf(viewer,"%D %D %g\n", i+shift, a->j[j]+shift, (double)a->a[j]);CHKERRQ(ierr);
686 #endif
687       }
688     }
689     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
690   } else {
691     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
692     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)A,viewer);CHKERRQ(ierr);
693     if (A->factortype) {
694       for (i=0; i<m; i++) {
695         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
696         /* L part */
697         for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
698 #if defined(PETSC_USE_COMPLEX)
699           if (PetscImaginaryPart(a->a[j]) > 0.0) {
700             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
701           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
702             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
703           } else {
704             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,PetscRealPart(a->a[j]));CHKERRQ(ierr);
705           }
706 #else
707           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,(double)a->a[j]);CHKERRQ(ierr);
708 #endif
709         }
710         /* diagonal */
711         j = a->diag[i];
712 #if defined(PETSC_USE_COMPLEX)
713         if (PetscImaginaryPart(a->a[j]) > 0.0) {
714           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j]+shift,PetscRealPart(1.0/a->a[j]),PetscImaginaryPart(1.0/a->a[j]));CHKERRQ(ierr);
715         } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
716           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j]+shift,PetscRealPart(1.0/a->a[j]),-PetscImaginaryPart(1.0/a->a[j]));CHKERRQ(ierr);
717         } else {
718           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,PetscRealPart(1.0/a->a[j]));CHKERRQ(ierr);
719         }
720 #else
721         ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,(double)1.0/a->a[j]);CHKERRQ(ierr);
722 #endif
723 
724         /* U part */
725         for (j=a->diag[i+1]+1+shift; j<a->diag[i]+shift; j++) {
726 #if defined(PETSC_USE_COMPLEX)
727           if (PetscImaginaryPart(a->a[j]) > 0.0) {
728             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
729           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
730             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
731           } else {
732             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,PetscRealPart(a->a[j]));CHKERRQ(ierr);
733           }
734 #else
735           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,(double)a->a[j]);CHKERRQ(ierr);
736 #endif
737         }
738         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
739       }
740     } else {
741       for (i=0; i<m; i++) {
742         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
743         for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
744 #if defined(PETSC_USE_COMPLEX)
745           if (PetscImaginaryPart(a->a[j]) > 0.0) {
746             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
747           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
748             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
749           } else {
750             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,PetscRealPart(a->a[j]));CHKERRQ(ierr);
751           }
752 #else
753           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,(double)a->a[j]);CHKERRQ(ierr);
754 #endif
755         }
756         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
757       }
758     }
759     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
760   }
761   ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
762   PetscFunctionReturn(0);
763 }
764 
765 #include <petscdraw.h>
766 #undef __FUNCT__
767 #define __FUNCT__ "MatView_SeqAIJ_Draw_Zoom"
768 PetscErrorCode MatView_SeqAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
769 {
770   Mat               A  = (Mat) Aa;
771   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
772   PetscErrorCode    ierr;
773   PetscInt          i,j,m = A->rmap->n,color;
774   PetscReal         xl,yl,xr,yr,x_l,x_r,y_l,y_r,maxv = 0.0;
775   PetscViewer       viewer;
776   PetscViewerFormat format;
777 
778   PetscFunctionBegin;
779   ierr = PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer);CHKERRQ(ierr);
780   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
781 
782   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
783   /* loop over matrix elements drawing boxes */
784 
785   if (format != PETSC_VIEWER_DRAW_CONTOUR) {
786     /* Blue for negative, Cyan for zero and  Red for positive */
787     color = PETSC_DRAW_BLUE;
788     for (i=0; i<m; i++) {
789       y_l = m - i - 1.0; y_r = y_l + 1.0;
790       for (j=a->i[i]; j<a->i[i+1]; j++) {
791         x_l = a->j[j]; x_r = x_l + 1.0;
792         if (PetscRealPart(a->a[j]) >=  0.) continue;
793         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
794       }
795     }
796     color = PETSC_DRAW_CYAN;
797     for (i=0; i<m; i++) {
798       y_l = m - i - 1.0; y_r = y_l + 1.0;
799       for (j=a->i[i]; j<a->i[i+1]; j++) {
800         x_l = a->j[j]; x_r = x_l + 1.0;
801         if (a->a[j] !=  0.) continue;
802         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
803       }
804     }
805     color = PETSC_DRAW_RED;
806     for (i=0; i<m; i++) {
807       y_l = m - i - 1.0; y_r = y_l + 1.0;
808       for (j=a->i[i]; j<a->i[i+1]; j++) {
809         x_l = a->j[j]; x_r = x_l + 1.0;
810         if (PetscRealPart(a->a[j]) <=  0.) continue;
811         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
812       }
813     }
814   } else {
815     /* use contour shading to indicate magnitude of values */
816     /* first determine max of all nonzero values */
817     PetscInt  nz = a->nz,count;
818     PetscDraw popup;
819     PetscReal scale;
820 
821     for (i=0; i<nz; i++) {
822       if (PetscAbsScalar(a->a[i]) > maxv) maxv = PetscAbsScalar(a->a[i]);
823     }
824     scale = (245.0 - PETSC_DRAW_BASIC_COLORS)/maxv;
825     ierr  = PetscDrawGetPopup(draw,&popup);CHKERRQ(ierr);
826     if (popup) {
827       ierr = PetscDrawScalePopup(popup,0.0,maxv);CHKERRQ(ierr);
828     }
829     count = 0;
830     for (i=0; i<m; i++) {
831       y_l = m - i - 1.0; y_r = y_l + 1.0;
832       for (j=a->i[i]; j<a->i[i+1]; j++) {
833         x_l   = a->j[j]; x_r = x_l + 1.0;
834         color = PETSC_DRAW_BASIC_COLORS + (PetscInt)(scale*PetscAbsScalar(a->a[count]));
835         ierr  = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
836         count++;
837       }
838     }
839   }
840   PetscFunctionReturn(0);
841 }
842 
843 #include <petscdraw.h>
844 #undef __FUNCT__
845 #define __FUNCT__ "MatView_SeqAIJ_Draw"
846 PetscErrorCode MatView_SeqAIJ_Draw(Mat A,PetscViewer viewer)
847 {
848   PetscErrorCode ierr;
849   PetscDraw      draw;
850   PetscReal      xr,yr,xl,yl,h,w;
851   PetscBool      isnull;
852 
853   PetscFunctionBegin;
854   ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
855   ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr);
856   if (isnull) PetscFunctionReturn(0);
857 
858   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer);CHKERRQ(ierr);
859   xr   = A->cmap->n; yr = A->rmap->n; h = yr/10.0; w = xr/10.0;
860   xr  += w;    yr += h;  xl = -w;     yl = -h;
861   ierr = PetscDrawSetCoordinates(draw,xl,yl,xr,yr);CHKERRQ(ierr);
862   ierr = PetscDrawZoom(draw,MatView_SeqAIJ_Draw_Zoom,A);CHKERRQ(ierr);
863   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",NULL);CHKERRQ(ierr);
864   PetscFunctionReturn(0);
865 }
866 
867 #undef __FUNCT__
868 #define __FUNCT__ "MatView_SeqAIJ"
869 PetscErrorCode MatView_SeqAIJ(Mat A,PetscViewer viewer)
870 {
871   PetscErrorCode ierr;
872   PetscBool      iascii,isbinary,isdraw;
873 
874   PetscFunctionBegin;
875   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
876   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
877   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
878   if (iascii) {
879     ierr = MatView_SeqAIJ_ASCII(A,viewer);CHKERRQ(ierr);
880   } else if (isbinary) {
881     ierr = MatView_SeqAIJ_Binary(A,viewer);CHKERRQ(ierr);
882   } else if (isdraw) {
883     ierr = MatView_SeqAIJ_Draw(A,viewer);CHKERRQ(ierr);
884   }
885   ierr = MatView_SeqAIJ_Inode(A,viewer);CHKERRQ(ierr);
886   PetscFunctionReturn(0);
887 }
888 
889 #undef __FUNCT__
890 #define __FUNCT__ "MatAssemblyEnd_SeqAIJ"
891 PetscErrorCode MatAssemblyEnd_SeqAIJ(Mat A,MatAssemblyType mode)
892 {
893   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
894   PetscErrorCode ierr;
895   PetscInt       fshift = 0,i,j,*ai = a->i,*aj = a->j,*imax = a->imax;
896   PetscInt       m      = A->rmap->n,*ip,N,*ailen = a->ilen,rmax = 0;
897   MatScalar      *aa    = a->a,*ap;
898   PetscReal      ratio  = 0.6;
899 
900   PetscFunctionBegin;
901   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
902 
903   if (m) rmax = ailen[0]; /* determine row with most nonzeros */
904   for (i=1; i<m; i++) {
905     /* move each row back by the amount of empty slots (fshift) before it*/
906     fshift += imax[i-1] - ailen[i-1];
907     rmax    = PetscMax(rmax,ailen[i]);
908     if (fshift) {
909       ip = aj + ai[i];
910       ap = aa + ai[i];
911       N  = ailen[i];
912       for (j=0; j<N; j++) {
913         ip[j-fshift] = ip[j];
914         ap[j-fshift] = ap[j];
915       }
916     }
917     ai[i] = ai[i-1] + ailen[i-1];
918   }
919   if (m) {
920     fshift += imax[m-1] - ailen[m-1];
921     ai[m]   = ai[m-1] + ailen[m-1];
922   }
923   /* reset ilen and imax for each row */
924   for (i=0; i<m; i++) {
925     ailen[i] = imax[i] = ai[i+1] - ai[i];
926   }
927   a->nz = ai[m];
928   if (fshift && a->nounused == -1) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_PLIB, "Unused space detected in matrix: %D X %D, %D unneeded", m, A->cmap->n, fshift);
929 
930   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
931   ierr = PetscInfo4(A,"Matrix size: %D X %D; storage space: %D unneeded,%D used\n",m,A->cmap->n,fshift,a->nz);CHKERRQ(ierr);
932   ierr = PetscInfo1(A,"Number of mallocs during MatSetValues() is %D\n",a->reallocs);CHKERRQ(ierr);
933   ierr = PetscInfo1(A,"Maximum nonzeros in any row is %D\n",rmax);CHKERRQ(ierr);
934 
935   A->info.mallocs    += a->reallocs;
936   a->reallocs         = 0;
937   A->info.nz_unneeded = (double)fshift;
938   a->rmax             = rmax;
939 
940   ierr = MatCheckCompressedRow(A,&a->compressedrow,a->i,m,ratio);CHKERRQ(ierr);
941 
942   A->same_nonzero = PETSC_TRUE;
943 
944   ierr = MatAssemblyEnd_SeqAIJ_Inode(A,mode);CHKERRQ(ierr);
945 
946   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
947   PetscFunctionReturn(0);
948 }
949 
950 #undef __FUNCT__
951 #define __FUNCT__ "MatRealPart_SeqAIJ"
952 PetscErrorCode MatRealPart_SeqAIJ(Mat A)
953 {
954   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
955   PetscInt       i,nz = a->nz;
956   MatScalar      *aa = a->a;
957   PetscErrorCode ierr;
958 
959   PetscFunctionBegin;
960   for (i=0; i<nz; i++) aa[i] = PetscRealPart(aa[i]);
961   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
962   PetscFunctionReturn(0);
963 }
964 
965 #undef __FUNCT__
966 #define __FUNCT__ "MatImaginaryPart_SeqAIJ"
967 PetscErrorCode MatImaginaryPart_SeqAIJ(Mat A)
968 {
969   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
970   PetscInt       i,nz = a->nz;
971   MatScalar      *aa = a->a;
972   PetscErrorCode ierr;
973 
974   PetscFunctionBegin;
975   for (i=0; i<nz; i++) aa[i] = PetscImaginaryPart(aa[i]);
976   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
977   PetscFunctionReturn(0);
978 }
979 
980 #if defined(PETSC_THREADCOMM_ACTIVE)
981 PetscErrorCode MatZeroEntries_SeqAIJ_Kernel(PetscInt thread_id,Mat A)
982 {
983   PetscErrorCode ierr;
984   PetscInt       *trstarts=A->rmap->trstarts;
985   PetscInt       n,start,end;
986   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
987 
988   start = trstarts[thread_id];
989   end   = trstarts[thread_id+1];
990   n     = a->i[end] - a->i[start];
991   ierr  = PetscMemzero(a->a+a->i[start],n*sizeof(PetscScalar));CHKERRQ(ierr);
992   return 0;
993 }
994 
995 #undef __FUNCT__
996 #define __FUNCT__ "MatZeroEntries_SeqAIJ"
997 PetscErrorCode MatZeroEntries_SeqAIJ(Mat A)
998 {
999   PetscErrorCode ierr;
1000 
1001   PetscFunctionBegin;
1002   ierr = PetscThreadCommRunKernel(PetscObjectComm((PetscObject)A),(PetscThreadKernel)MatZeroEntries_SeqAIJ_Kernel,1,A);CHKERRQ(ierr);
1003   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1004   PetscFunctionReturn(0);
1005 }
1006 #else
1007 #undef __FUNCT__
1008 #define __FUNCT__ "MatZeroEntries_SeqAIJ"
1009 PetscErrorCode MatZeroEntries_SeqAIJ(Mat A)
1010 {
1011   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1012   PetscErrorCode ierr;
1013 
1014   PetscFunctionBegin;
1015   ierr = PetscMemzero(a->a,(a->i[A->rmap->n])*sizeof(PetscScalar));CHKERRQ(ierr);
1016   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
1017   PetscFunctionReturn(0);
1018 }
1019 #endif
1020 
1021 #undef __FUNCT__
1022 #define __FUNCT__ "MatDestroy_SeqAIJ"
1023 PetscErrorCode MatDestroy_SeqAIJ(Mat A)
1024 {
1025   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1026   PetscErrorCode ierr;
1027 
1028   PetscFunctionBegin;
1029 #if defined(PETSC_USE_LOG)
1030   PetscLogObjectState((PetscObject)A,"Rows=%D, Cols=%D, NZ=%D",A->rmap->n,A->cmap->n,a->nz);
1031 #endif
1032   ierr = MatSeqXAIJFreeAIJ(A,&a->a,&a->j,&a->i);CHKERRQ(ierr);
1033   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
1034   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
1035   ierr = PetscFree(a->diag);CHKERRQ(ierr);
1036   ierr = PetscFree(a->ibdiag);CHKERRQ(ierr);
1037   ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);
1038   ierr = PetscFree3(a->idiag,a->mdiag,a->ssor_work);CHKERRQ(ierr);
1039   ierr = PetscFree(a->solve_work);CHKERRQ(ierr);
1040   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
1041   ierr = PetscFree(a->saved_values);CHKERRQ(ierr);
1042   ierr = ISColoringDestroy(&a->coloring);CHKERRQ(ierr);
1043   ierr = PetscFree(a->xtoy);CHKERRQ(ierr);
1044   ierr = MatDestroy(&a->XtoY);CHKERRQ(ierr);
1045   ierr = PetscFree2(a->compressedrow.i,a->compressedrow.rindex);CHKERRQ(ierr);
1046   ierr = PetscFree(a->matmult_abdense);CHKERRQ(ierr);
1047 
1048   ierr = MatDestroy_SeqAIJ_Inode(A);CHKERRQ(ierr);
1049   ierr = PetscFree(A->data);CHKERRQ(ierr);
1050 
1051   ierr = PetscObjectChangeTypeName((PetscObject)A,0);CHKERRQ(ierr);
1052   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetColumnIndices_C",NULL);CHKERRQ(ierr);
1053   ierr = PetscObjectComposeFunction((PetscObject)A,"MatStoreValues_C",NULL);CHKERRQ(ierr);
1054   ierr = PetscObjectComposeFunction((PetscObject)A,"MatRetrieveValues_C",NULL);CHKERRQ(ierr);
1055   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqsbaij_C",NULL);CHKERRQ(ierr);
1056   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqbaij_C",NULL);CHKERRQ(ierr);
1057   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqaij_seqaijperm_C",NULL);CHKERRQ(ierr);
1058   ierr = PetscObjectComposeFunction((PetscObject)A,"MatIsTranspose_C",NULL);CHKERRQ(ierr);
1059   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetPreallocation_C",NULL);CHKERRQ(ierr);
1060   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqAIJSetPreallocationCSR_C",NULL);CHKERRQ(ierr);
1061   ierr = PetscObjectComposeFunction((PetscObject)A,"MatReorderForNonzeroDiagonal_C",NULL);CHKERRQ(ierr);
1062   PetscFunctionReturn(0);
1063 }
1064 
1065 #undef __FUNCT__
1066 #define __FUNCT__ "MatSetOption_SeqAIJ"
1067 PetscErrorCode MatSetOption_SeqAIJ(Mat A,MatOption op,PetscBool flg)
1068 {
1069   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1070   PetscErrorCode ierr;
1071 
1072   PetscFunctionBegin;
1073   switch (op) {
1074   case MAT_ROW_ORIENTED:
1075     a->roworiented = flg;
1076     break;
1077   case MAT_KEEP_NONZERO_PATTERN:
1078     a->keepnonzeropattern = flg;
1079     break;
1080   case MAT_NEW_NONZERO_LOCATIONS:
1081     a->nonew = (flg ? 0 : 1);
1082     break;
1083   case MAT_NEW_NONZERO_LOCATION_ERR:
1084     a->nonew = (flg ? -1 : 0);
1085     break;
1086   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1087     a->nonew = (flg ? -2 : 0);
1088     break;
1089   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1090     a->nounused = (flg ? -1 : 0);
1091     break;
1092   case MAT_IGNORE_ZERO_ENTRIES:
1093     a->ignorezeroentries = flg;
1094     break;
1095   case MAT_CHECK_COMPRESSED_ROW:
1096     a->compressedrow.check = flg;
1097     break;
1098   case MAT_SPD:
1099   case MAT_SYMMETRIC:
1100   case MAT_STRUCTURALLY_SYMMETRIC:
1101   case MAT_HERMITIAN:
1102   case MAT_SYMMETRY_ETERNAL:
1103     /* These options are handled directly by MatSetOption() */
1104     break;
1105   case MAT_NEW_DIAGONALS:
1106   case MAT_IGNORE_OFF_PROC_ENTRIES:
1107   case MAT_USE_HASH_TABLE:
1108     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1109     break;
1110   case MAT_USE_INODES:
1111     /* Not an error because MatSetOption_SeqAIJ_Inode handles this one */
1112     break;
1113   default:
1114     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
1115   }
1116   ierr = MatSetOption_SeqAIJ_Inode(A,op,flg);CHKERRQ(ierr);
1117   PetscFunctionReturn(0);
1118 }
1119 
1120 #undef __FUNCT__
1121 #define __FUNCT__ "MatGetDiagonal_SeqAIJ"
1122 PetscErrorCode MatGetDiagonal_SeqAIJ(Mat A,Vec v)
1123 {
1124   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1125   PetscErrorCode ierr;
1126   PetscInt       i,j,n,*ai=a->i,*aj=a->j,nz;
1127   PetscScalar    *aa=a->a,*x,zero=0.0;
1128 
1129   PetscFunctionBegin;
1130   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
1131   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
1132 
1133   if (A->factortype == MAT_FACTOR_ILU || A->factortype == MAT_FACTOR_LU) {
1134     PetscInt *diag=a->diag;
1135     ierr = VecGetArray(v,&x);CHKERRQ(ierr);
1136     for (i=0; i<n; i++) x[i] = 1.0/aa[diag[i]];
1137     ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
1138     PetscFunctionReturn(0);
1139   }
1140 
1141   ierr = VecSet(v,zero);CHKERRQ(ierr);
1142   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
1143   for (i=0; i<n; i++) {
1144     nz = ai[i+1] - ai[i];
1145     if (!nz) x[i] = 0.0;
1146     for (j=ai[i]; j<ai[i+1]; j++) {
1147       if (aj[j] == i) {
1148         x[i] = aa[j];
1149         break;
1150       }
1151     }
1152   }
1153   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
1154   PetscFunctionReturn(0);
1155 }
1156 
1157 #include <../src/mat/impls/aij/seq/ftn-kernels/fmult.h>
1158 #undef __FUNCT__
1159 #define __FUNCT__ "MatMultTransposeAdd_SeqAIJ"
1160 PetscErrorCode MatMultTransposeAdd_SeqAIJ(Mat A,Vec xx,Vec zz,Vec yy)
1161 {
1162   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1163   PetscScalar    *x,*y;
1164   PetscErrorCode ierr;
1165   PetscInt       m = A->rmap->n;
1166 #if !defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
1167   MatScalar         *v;
1168   PetscScalar       alpha;
1169   PetscInt          n,i,j,*idx,*ii,*ridx=NULL;
1170   Mat_CompressedRow cprow    = a->compressedrow;
1171   PetscBool         usecprow = cprow.use;
1172 #endif
1173 
1174   PetscFunctionBegin;
1175   if (zz != yy) {ierr = VecCopy(zz,yy);CHKERRQ(ierr);}
1176   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1177   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1178 
1179 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
1180   fortranmulttransposeaddaij_(&m,x,a->i,a->j,a->a,y);
1181 #else
1182   if (usecprow) {
1183     m    = cprow.nrows;
1184     ii   = cprow.i;
1185     ridx = cprow.rindex;
1186   } else {
1187     ii = a->i;
1188   }
1189   for (i=0; i<m; i++) {
1190     idx = a->j + ii[i];
1191     v   = a->a + ii[i];
1192     n   = ii[i+1] - ii[i];
1193     if (usecprow) {
1194       alpha = x[ridx[i]];
1195     } else {
1196       alpha = x[i];
1197     }
1198     for (j=0; j<n; j++) y[idx[j]] += alpha*v[j];
1199   }
1200 #endif
1201   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1202   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1203   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1204   PetscFunctionReturn(0);
1205 }
1206 
1207 #undef __FUNCT__
1208 #define __FUNCT__ "MatMultTranspose_SeqAIJ"
1209 PetscErrorCode MatMultTranspose_SeqAIJ(Mat A,Vec xx,Vec yy)
1210 {
1211   PetscErrorCode ierr;
1212 
1213   PetscFunctionBegin;
1214   ierr = VecSet(yy,0.0);CHKERRQ(ierr);
1215   ierr = MatMultTransposeAdd_SeqAIJ(A,xx,yy,yy);CHKERRQ(ierr);
1216   PetscFunctionReturn(0);
1217 }
1218 
1219 #include <../src/mat/impls/aij/seq/ftn-kernels/fmult.h>
1220 #if defined(PETSC_THREADCOMM_ACTIVE)
1221 PetscErrorCode MatMult_SeqAIJ_Kernel(PetscInt thread_id,Mat A,Vec xx,Vec yy)
1222 {
1223   PetscErrorCode    ierr;
1224   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1225   PetscScalar       *y;
1226   const PetscScalar *x;
1227   const MatScalar   *aa;
1228   PetscInt          *trstarts=A->rmap->trstarts;
1229   PetscInt          n,start,end,i;
1230   const PetscInt    *aj,*ai;
1231   PetscScalar       sum;
1232 
1233   ierr  = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1234   ierr  = VecGetArray(yy,&y);CHKERRQ(ierr);
1235   start = trstarts[thread_id];
1236   end   = trstarts[thread_id+1];
1237   aj    = a->j;
1238   aa    = a->a;
1239   ai    = a->i;
1240   for (i=start; i<end; i++) {
1241     n   = ai[i+1] - ai[i];
1242     aj  = a->j + ai[i];
1243     aa  = a->a + ai[i];
1244     sum = 0.0;
1245     PetscSparseDensePlusDot(sum,x,aa,aj,n);
1246     y[i] = sum;
1247   }
1248   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1249   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1250   return 0;
1251 }
1252 
1253 #undef __FUNCT__
1254 #define __FUNCT__ "MatMult_SeqAIJ"
1255 PetscErrorCode MatMult_SeqAIJ(Mat A,Vec xx,Vec yy)
1256 {
1257   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1258   PetscScalar       *y;
1259   const PetscScalar *x;
1260   const MatScalar   *aa;
1261   PetscErrorCode    ierr;
1262   PetscInt          m=A->rmap->n;
1263   const PetscInt    *aj,*ii,*ridx=NULL;
1264   PetscInt          n,i,nonzerorow=0;
1265   PetscScalar       sum;
1266   PetscBool         usecprow=a->compressedrow.use;
1267 
1268 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
1269 #pragma disjoint(*x,*y,*aa)
1270 #endif
1271 
1272   PetscFunctionBegin;
1273   aj = a->j;
1274   aa = a->a;
1275   ii = a->i;
1276   if (usecprow) { /* use compressed row format */
1277     ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1278     ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1279     m    = a->compressedrow.nrows;
1280     ii   = a->compressedrow.i;
1281     ridx = a->compressedrow.rindex;
1282     for (i=0; i<m; i++) {
1283       n           = ii[i+1] - ii[i];
1284       aj          = a->j + ii[i];
1285       aa          = a->a + ii[i];
1286       sum         = 0.0;
1287       nonzerorow += (n>0);
1288       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1289       /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */
1290       y[*ridx++] = sum;
1291     }
1292     ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1293     ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1294   } else { /* do not use compressed row format */
1295 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTAIJ)
1296     fortranmultaij_(&m,x,ii,aj,aa,y);
1297 #else
1298     ierr = PetscThreadCommRunKernel(PetscObjectComm((PetscObject)A),(PetscThreadKernel)MatMult_SeqAIJ_Kernel,3,A,xx,yy);CHKERRQ(ierr);
1299 #endif
1300   }
1301   ierr = PetscLogFlops(2.0*a->nz - nonzerorow);CHKERRQ(ierr);
1302   PetscFunctionReturn(0);
1303 }
1304 #else
1305 #undef __FUNCT__
1306 #define __FUNCT__ "MatMult_SeqAIJ"
1307 PetscErrorCode MatMult_SeqAIJ(Mat A,Vec xx,Vec yy)
1308 {
1309   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1310   PetscScalar       *y;
1311   const PetscScalar *x;
1312   const MatScalar   *aa;
1313   PetscErrorCode    ierr;
1314   PetscInt          m=A->rmap->n;
1315   const PetscInt    *aj,*ii,*ridx=NULL;
1316   PetscInt          n,i,nonzerorow=0;
1317   PetscScalar       sum;
1318   PetscBool         usecprow=a->compressedrow.use;
1319 
1320 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
1321 #pragma disjoint(*x,*y,*aa)
1322 #endif
1323 
1324   PetscFunctionBegin;
1325   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1326   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1327   aj   = a->j;
1328   aa   = a->a;
1329   ii   = a->i;
1330   if (usecprow) { /* use compressed row format */
1331     m    = a->compressedrow.nrows;
1332     ii   = a->compressedrow.i;
1333     ridx = a->compressedrow.rindex;
1334     for (i=0; i<m; i++) {
1335       n           = ii[i+1] - ii[i];
1336       aj          = a->j + ii[i];
1337       aa          = a->a + ii[i];
1338       sum         = 0.0;
1339       nonzerorow += (n>0);
1340       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1341       /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */
1342       y[*ridx++] = sum;
1343     }
1344   } else { /* do not use compressed row format */
1345 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTAIJ)
1346     fortranmultaij_(&m,x,ii,aj,aa,y);
1347 #else
1348 #if defined(PETSC_THREADCOMM_ACTIVE)
1349     ierr = PetscThreadCommRunKernel(PetscObjectComm((PetscObject)A),(PetscThreadKernel)MatMult_SeqAIJ_Kernel,3,A,xx,yy);CHKERRQ(ierr);
1350 #else
1351     for (i=0; i<m; i++) {
1352       n           = ii[i+1] - ii[i];
1353       aj          = a->j + ii[i];
1354       aa          = a->a + ii[i];
1355       sum         = 0.0;
1356       nonzerorow += (n>0);
1357       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1358       y[i] = sum;
1359     }
1360 #endif
1361 #endif
1362   }
1363   ierr = PetscLogFlops(2.0*a->nz - nonzerorow);CHKERRQ(ierr);
1364   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1365   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1366   PetscFunctionReturn(0);
1367 }
1368 #endif
1369 
1370 #undef __FUNCT__
1371 #define __FUNCT__ "MatMultMax_SeqAIJ"
1372 PetscErrorCode MatMultMax_SeqAIJ(Mat A,Vec xx,Vec yy)
1373 {
1374   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1375   PetscScalar       *y;
1376   const PetscScalar *x;
1377   const MatScalar   *aa;
1378   PetscErrorCode    ierr;
1379   PetscInt          m=A->rmap->n;
1380   const PetscInt    *aj,*ii,*ridx=NULL;
1381   PetscInt          n,i,nonzerorow=0;
1382   PetscScalar       sum;
1383   PetscBool         usecprow=a->compressedrow.use;
1384 
1385 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
1386 #pragma disjoint(*x,*y,*aa)
1387 #endif
1388 
1389   PetscFunctionBegin;
1390   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1391   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1392   aj   = a->j;
1393   aa   = a->a;
1394   ii   = a->i;
1395   if (usecprow) { /* use compressed row format */
1396     m    = a->compressedrow.nrows;
1397     ii   = a->compressedrow.i;
1398     ridx = a->compressedrow.rindex;
1399     for (i=0; i<m; i++) {
1400       n           = ii[i+1] - ii[i];
1401       aj          = a->j + ii[i];
1402       aa          = a->a + ii[i];
1403       sum         = 0.0;
1404       nonzerorow += (n>0);
1405       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1406       /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */
1407       y[*ridx++] = sum;
1408     }
1409   } else { /* do not use compressed row format */
1410     for (i=0; i<m; i++) {
1411       n           = ii[i+1] - ii[i];
1412       aj          = a->j + ii[i];
1413       aa          = a->a + ii[i];
1414       sum         = 0.0;
1415       nonzerorow += (n>0);
1416       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1417       y[i] = sum;
1418     }
1419   }
1420   ierr = PetscLogFlops(2.0*a->nz - nonzerorow);CHKERRQ(ierr);
1421   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1422   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1423   PetscFunctionReturn(0);
1424 }
1425 
1426 #undef __FUNCT__
1427 #define __FUNCT__ "MatMultAddMax_SeqAIJ"
1428 PetscErrorCode MatMultAddMax_SeqAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1429 {
1430   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1431   PetscScalar       *y,*z;
1432   const PetscScalar *x;
1433   const MatScalar   *aa;
1434   PetscErrorCode    ierr;
1435   PetscInt          m = A->rmap->n,*aj,*ii;
1436   PetscInt          n,i,*ridx=NULL;
1437   PetscScalar       sum;
1438   PetscBool         usecprow=a->compressedrow.use;
1439 
1440   PetscFunctionBegin;
1441   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1442   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1443   if (zz != yy) {
1444     ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
1445   } else {
1446     z = y;
1447   }
1448 
1449   aj = a->j;
1450   aa = a->a;
1451   ii = a->i;
1452   if (usecprow) { /* use compressed row format */
1453     if (zz != yy) {
1454       ierr = PetscMemcpy(z,y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1455     }
1456     m    = a->compressedrow.nrows;
1457     ii   = a->compressedrow.i;
1458     ridx = a->compressedrow.rindex;
1459     for (i=0; i<m; i++) {
1460       n   = ii[i+1] - ii[i];
1461       aj  = a->j + ii[i];
1462       aa  = a->a + ii[i];
1463       sum = y[*ridx];
1464       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1465       z[*ridx++] = sum;
1466     }
1467   } else { /* do not use compressed row format */
1468     for (i=0; i<m; i++) {
1469       n   = ii[i+1] - ii[i];
1470       aj  = a->j + ii[i];
1471       aa  = a->a + ii[i];
1472       sum = y[i];
1473       PetscSparseDenseMaxDot(sum,x,aa,aj,n);
1474       z[i] = sum;
1475     }
1476   }
1477   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1478   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1479   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1480   if (zz != yy) {
1481     ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
1482   }
1483   PetscFunctionReturn(0);
1484 }
1485 
1486 #include <../src/mat/impls/aij/seq/ftn-kernels/fmultadd.h>
1487 #undef __FUNCT__
1488 #define __FUNCT__ "MatMultAdd_SeqAIJ"
1489 PetscErrorCode MatMultAdd_SeqAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1490 {
1491   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1492   PetscScalar       *y,*z;
1493   const PetscScalar *x;
1494   const MatScalar   *aa;
1495   PetscErrorCode    ierr;
1496   PetscInt          m = A->rmap->n,*aj,*ii;
1497   PetscInt          n,i,*ridx=NULL;
1498   PetscScalar       sum;
1499   PetscBool         usecprow=a->compressedrow.use;
1500 
1501   PetscFunctionBegin;
1502   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1503   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1504   if (zz != yy) {
1505     ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
1506   } else {
1507     z = y;
1508   }
1509 
1510   aj = a->j;
1511   aa = a->a;
1512   ii = a->i;
1513   if (usecprow) { /* use compressed row format */
1514     if (zz != yy) {
1515       ierr = PetscMemcpy(z,y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1516     }
1517     m    = a->compressedrow.nrows;
1518     ii   = a->compressedrow.i;
1519     ridx = a->compressedrow.rindex;
1520     for (i=0; i<m; i++) {
1521       n   = ii[i+1] - ii[i];
1522       aj  = a->j + ii[i];
1523       aa  = a->a + ii[i];
1524       sum = y[*ridx];
1525       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1526       z[*ridx++] = sum;
1527     }
1528   } else { /* do not use compressed row format */
1529 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTADDAIJ)
1530     fortranmultaddaij_(&m,x,ii,aj,aa,y,z);
1531 #else
1532     for (i=0; i<m; i++) {
1533       n   = ii[i+1] - ii[i];
1534       aj  = a->j + ii[i];
1535       aa  = a->a + ii[i];
1536       sum = y[i];
1537       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1538       z[i] = sum;
1539     }
1540 #endif
1541   }
1542   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1543   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1544   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1545   if (zz != yy) {
1546     ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
1547   }
1548 #if defined(PETSC_HAVE_CUSP)
1549   /*
1550   ierr = VecView(xx,0);CHKERRQ(ierr);
1551   ierr = VecView(zz,0);CHKERRQ(ierr);
1552   ierr = MatView(A,0);CHKERRQ(ierr);
1553   */
1554 #endif
1555   PetscFunctionReturn(0);
1556 }
1557 
1558 /*
1559      Adds diagonal pointers to sparse matrix structure.
1560 */
1561 #undef __FUNCT__
1562 #define __FUNCT__ "MatMarkDiagonal_SeqAIJ"
1563 PetscErrorCode MatMarkDiagonal_SeqAIJ(Mat A)
1564 {
1565   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1566   PetscErrorCode ierr;
1567   PetscInt       i,j,m = A->rmap->n;
1568 
1569   PetscFunctionBegin;
1570   if (!a->diag) {
1571     ierr = PetscMalloc(m*sizeof(PetscInt),&a->diag);CHKERRQ(ierr);
1572     ierr = PetscLogObjectMemory((PetscObject)A, m*sizeof(PetscInt));CHKERRQ(ierr);
1573   }
1574   for (i=0; i<A->rmap->n; i++) {
1575     a->diag[i] = a->i[i+1];
1576     for (j=a->i[i]; j<a->i[i+1]; j++) {
1577       if (a->j[j] == i) {
1578         a->diag[i] = j;
1579         break;
1580       }
1581     }
1582   }
1583   PetscFunctionReturn(0);
1584 }
1585 
1586 /*
1587      Checks for missing diagonals
1588 */
1589 #undef __FUNCT__
1590 #define __FUNCT__ "MatMissingDiagonal_SeqAIJ"
1591 PetscErrorCode MatMissingDiagonal_SeqAIJ(Mat A,PetscBool  *missing,PetscInt *d)
1592 {
1593   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1594   PetscInt   *diag,*jj = a->j,i;
1595 
1596   PetscFunctionBegin;
1597   *missing = PETSC_FALSE;
1598   if (A->rmap->n > 0 && !jj) {
1599     *missing = PETSC_TRUE;
1600     if (d) *d = 0;
1601     PetscInfo(A,"Matrix has no entries therefore is missing diagonal");
1602   } else {
1603     diag = a->diag;
1604     for (i=0; i<A->rmap->n; i++) {
1605       if (jj[diag[i]] != i) {
1606         *missing = PETSC_TRUE;
1607         if (d) *d = i;
1608         PetscInfo1(A,"Matrix is missing diagonal number %D",i);
1609         break;
1610       }
1611     }
1612   }
1613   PetscFunctionReturn(0);
1614 }
1615 
1616 #undef __FUNCT__
1617 #define __FUNCT__ "MatInvertDiagonal_SeqAIJ"
1618 PetscErrorCode  MatInvertDiagonal_SeqAIJ(Mat A,PetscScalar omega,PetscScalar fshift)
1619 {
1620   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
1621   PetscErrorCode ierr;
1622   PetscInt       i,*diag,m = A->rmap->n;
1623   MatScalar      *v = a->a;
1624   PetscScalar    *idiag,*mdiag;
1625 
1626   PetscFunctionBegin;
1627   if (a->idiagvalid) PetscFunctionReturn(0);
1628   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1629   diag = a->diag;
1630   if (!a->idiag) {
1631     ierr = PetscMalloc3(m,PetscScalar,&a->idiag,m,PetscScalar,&a->mdiag,m,PetscScalar,&a->ssor_work);CHKERRQ(ierr);
1632     ierr = PetscLogObjectMemory((PetscObject)A, 3*m*sizeof(PetscScalar));CHKERRQ(ierr);
1633     v    = a->a;
1634   }
1635   mdiag = a->mdiag;
1636   idiag = a->idiag;
1637 
1638   if (omega == 1.0 && !PetscAbsScalar(fshift)) {
1639     for (i=0; i<m; i++) {
1640       mdiag[i] = v[diag[i]];
1641       if (!PetscAbsScalar(mdiag[i])) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Zero diagonal on row %D",i);
1642       idiag[i] = 1.0/v[diag[i]];
1643     }
1644     ierr = PetscLogFlops(m);CHKERRQ(ierr);
1645   } else {
1646     for (i=0; i<m; i++) {
1647       mdiag[i] = v[diag[i]];
1648       idiag[i] = omega/(fshift + v[diag[i]]);
1649     }
1650     ierr = PetscLogFlops(2.0*m);CHKERRQ(ierr);
1651   }
1652   a->idiagvalid = PETSC_TRUE;
1653   PetscFunctionReturn(0);
1654 }
1655 
1656 #include <../src/mat/impls/aij/seq/ftn-kernels/frelax.h>
1657 #undef __FUNCT__
1658 #define __FUNCT__ "MatSOR_SeqAIJ"
1659 PetscErrorCode MatSOR_SeqAIJ(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
1660 {
1661   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1662   PetscScalar       *x,d,sum,*t,scale;
1663   const MatScalar   *v = a->a,*idiag=0,*mdiag;
1664   const PetscScalar *b, *bs,*xb, *ts;
1665   PetscErrorCode    ierr;
1666   PetscInt          n = A->cmap->n,m = A->rmap->n,i;
1667   const PetscInt    *idx,*diag;
1668 
1669   PetscFunctionBegin;
1670   its = its*lits;
1671 
1672   if (fshift != a->fshift || omega != a->omega) a->idiagvalid = PETSC_FALSE; /* must recompute idiag[] */
1673   if (!a->idiagvalid) {ierr = MatInvertDiagonal_SeqAIJ(A,omega,fshift);CHKERRQ(ierr);}
1674   a->fshift = fshift;
1675   a->omega  = omega;
1676 
1677   diag  = a->diag;
1678   t     = a->ssor_work;
1679   idiag = a->idiag;
1680   mdiag = a->mdiag;
1681 
1682   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1683   ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
1684   /* We count flops by assuming the upper triangular and lower triangular parts have the same number of nonzeros */
1685   if (flag == SOR_APPLY_UPPER) {
1686     /* apply (U + D/omega) to the vector */
1687     bs = b;
1688     for (i=0; i<m; i++) {
1689       d   = fshift + mdiag[i];
1690       n   = a->i[i+1] - diag[i] - 1;
1691       idx = a->j + diag[i] + 1;
1692       v   = a->a + diag[i] + 1;
1693       sum = b[i]*d/omega;
1694       PetscSparseDensePlusDot(sum,bs,v,idx,n);
1695       x[i] = sum;
1696     }
1697     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1698     ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1699     ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1700     PetscFunctionReturn(0);
1701   }
1702 
1703   if (flag == SOR_APPLY_LOWER) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SOR_APPLY_LOWER is not implemented");
1704   else if (flag & SOR_EISENSTAT) {
1705     /* Let  A = L + U + D; where L is lower trianglar,
1706     U is upper triangular, E = D/omega; This routine applies
1707 
1708             (L + E)^{-1} A (U + E)^{-1}
1709 
1710     to a vector efficiently using Eisenstat's trick.
1711     */
1712     scale = (2.0/omega) - 1.0;
1713 
1714     /*  x = (E + U)^{-1} b */
1715     for (i=m-1; i>=0; i--) {
1716       n   = a->i[i+1] - diag[i] - 1;
1717       idx = a->j + diag[i] + 1;
1718       v   = a->a + diag[i] + 1;
1719       sum = b[i];
1720       PetscSparseDenseMinusDot(sum,x,v,idx,n);
1721       x[i] = sum*idiag[i];
1722     }
1723 
1724     /*  t = b - (2*E - D)x */
1725     v = a->a;
1726     for (i=0; i<m; i++) t[i] = b[i] - scale*(v[*diag++])*x[i];
1727 
1728     /*  t = (E + L)^{-1}t */
1729     ts   = t;
1730     diag = a->diag;
1731     for (i=0; i<m; i++) {
1732       n   = diag[i] - a->i[i];
1733       idx = a->j + a->i[i];
1734       v   = a->a + a->i[i];
1735       sum = t[i];
1736       PetscSparseDenseMinusDot(sum,ts,v,idx,n);
1737       t[i] = sum*idiag[i];
1738       /*  x = x + t */
1739       x[i] += t[i];
1740     }
1741 
1742     ierr = PetscLogFlops(6.0*m-1 + 2.0*a->nz);CHKERRQ(ierr);
1743     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1744     ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1745     PetscFunctionReturn(0);
1746   }
1747   if (flag & SOR_ZERO_INITIAL_GUESS) {
1748     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
1749       for (i=0; i<m; i++) {
1750         n   = diag[i] - a->i[i];
1751         idx = a->j + a->i[i];
1752         v   = a->a + a->i[i];
1753         sum = b[i];
1754         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1755         t[i] = sum;
1756         x[i] = sum*idiag[i];
1757       }
1758       xb   = t;
1759       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1760     } else xb = b;
1761     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
1762       for (i=m-1; i>=0; i--) {
1763         n   = a->i[i+1] - diag[i] - 1;
1764         idx = a->j + diag[i] + 1;
1765         v   = a->a + diag[i] + 1;
1766         sum = xb[i];
1767         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1768         if (xb == b) {
1769           x[i] = sum*idiag[i];
1770         } else {
1771           x[i] = (1-omega)*x[i] + sum*idiag[i];  /* omega in idiag */
1772         }
1773       }
1774       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr); /* assumes 1/2 in upper */
1775     }
1776     its--;
1777   }
1778   while (its--) {
1779     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
1780       for (i=0; i<m; i++) {
1781         /* lower */
1782         n   = diag[i] - a->i[i];
1783         idx = a->j + a->i[i];
1784         v   = a->a + a->i[i];
1785         sum = b[i];
1786         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1787         t[i] = sum;             /* save application of the lower-triangular part */
1788         /* upper */
1789         n   = a->i[i+1] - diag[i] - 1;
1790         idx = a->j + diag[i] + 1;
1791         v   = a->a + diag[i] + 1;
1792         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1793         x[i] = (1. - omega)*x[i] + sum*idiag[i]; /* omega in idiag */
1794       }
1795       xb   = t;
1796       ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1797     } else xb = b;
1798     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
1799       for (i=m-1; i>=0; i--) {
1800         sum = xb[i];
1801         if (xb == b) {
1802           /* whole matrix (no checkpointing available) */
1803           n   = a->i[i+1] - a->i[i];
1804           idx = a->j + a->i[i];
1805           v   = a->a + a->i[i];
1806           PetscSparseDenseMinusDot(sum,x,v,idx,n);
1807           x[i] = (1. - omega)*x[i] + (sum + mdiag[i]*x[i])*idiag[i];
1808         } else { /* lower-triangular part has been saved, so only apply upper-triangular */
1809           n   = a->i[i+1] - diag[i] - 1;
1810           idx = a->j + diag[i] + 1;
1811           v   = a->a + diag[i] + 1;
1812           PetscSparseDenseMinusDot(sum,x,v,idx,n);
1813           x[i] = (1. - omega)*x[i] + sum*idiag[i];  /* omega in idiag */
1814         }
1815       }
1816       if (xb == b) {
1817         ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1818       } else {
1819         ierr = PetscLogFlops(a->nz);CHKERRQ(ierr); /* assumes 1/2 in upper */
1820       }
1821     }
1822   }
1823   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1824   ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1825   PetscFunctionReturn(0);
1826 }
1827 
1828 
1829 #undef __FUNCT__
1830 #define __FUNCT__ "MatGetInfo_SeqAIJ"
1831 PetscErrorCode MatGetInfo_SeqAIJ(Mat A,MatInfoType flag,MatInfo *info)
1832 {
1833   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1834 
1835   PetscFunctionBegin;
1836   info->block_size   = 1.0;
1837   info->nz_allocated = (double)a->maxnz;
1838   info->nz_used      = (double)a->nz;
1839   info->nz_unneeded  = (double)(a->maxnz - a->nz);
1840   info->assemblies   = (double)A->num_ass;
1841   info->mallocs      = (double)A->info.mallocs;
1842   info->memory       = ((PetscObject)A)->mem;
1843   if (A->factortype) {
1844     info->fill_ratio_given  = A->info.fill_ratio_given;
1845     info->fill_ratio_needed = A->info.fill_ratio_needed;
1846     info->factor_mallocs    = A->info.factor_mallocs;
1847   } else {
1848     info->fill_ratio_given  = 0;
1849     info->fill_ratio_needed = 0;
1850     info->factor_mallocs    = 0;
1851   }
1852   PetscFunctionReturn(0);
1853 }
1854 
1855 #undef __FUNCT__
1856 #define __FUNCT__ "MatZeroRows_SeqAIJ"
1857 PetscErrorCode MatZeroRows_SeqAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1858 {
1859   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1860   PetscInt          i,m = A->rmap->n - 1,d = 0;
1861   PetscErrorCode    ierr;
1862   const PetscScalar *xx;
1863   PetscScalar       *bb;
1864   PetscBool         missing;
1865 
1866   PetscFunctionBegin;
1867   if (x && b) {
1868     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1869     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1870     for (i=0; i<N; i++) {
1871       if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1872       bb[rows[i]] = diag*xx[rows[i]];
1873     }
1874     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1875     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1876   }
1877 
1878   if (a->keepnonzeropattern) {
1879     for (i=0; i<N; i++) {
1880       if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1881       ierr = PetscMemzero(&a->a[a->i[rows[i]]],a->ilen[rows[i]]*sizeof(PetscScalar));CHKERRQ(ierr);
1882     }
1883     if (diag != 0.0) {
1884       ierr = MatMissingDiagonal_SeqAIJ(A,&missing,&d);CHKERRQ(ierr);
1885       if (missing) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Matrix is missing diagonal entry in row %D",d);
1886       for (i=0; i<N; i++) {
1887         a->a[a->diag[rows[i]]] = diag;
1888       }
1889     }
1890     A->same_nonzero = PETSC_TRUE;
1891   } else {
1892     if (diag != 0.0) {
1893       for (i=0; i<N; i++) {
1894         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1895         if (a->ilen[rows[i]] > 0) {
1896           a->ilen[rows[i]]    = 1;
1897           a->a[a->i[rows[i]]] = diag;
1898           a->j[a->i[rows[i]]] = rows[i];
1899         } else { /* in case row was completely empty */
1900           ierr = MatSetValues_SeqAIJ(A,1,&rows[i],1,&rows[i],&diag,INSERT_VALUES);CHKERRQ(ierr);
1901         }
1902       }
1903     } else {
1904       for (i=0; i<N; i++) {
1905         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1906         a->ilen[rows[i]] = 0;
1907       }
1908     }
1909     A->same_nonzero = PETSC_FALSE;
1910   }
1911   ierr = MatAssemblyEnd_SeqAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1912   PetscFunctionReturn(0);
1913 }
1914 
1915 #undef __FUNCT__
1916 #define __FUNCT__ "MatZeroRowsColumns_SeqAIJ"
1917 PetscErrorCode MatZeroRowsColumns_SeqAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1918 {
1919   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1920   PetscInt          i,j,m = A->rmap->n - 1,d = 0;
1921   PetscErrorCode    ierr;
1922   PetscBool         missing,*zeroed,vecs = PETSC_FALSE;
1923   const PetscScalar *xx;
1924   PetscScalar       *bb;
1925 
1926   PetscFunctionBegin;
1927   if (x && b) {
1928     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1929     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1930     vecs = PETSC_TRUE;
1931   }
1932   ierr = PetscMalloc(A->rmap->n*sizeof(PetscBool),&zeroed);CHKERRQ(ierr);
1933   ierr = PetscMemzero(zeroed,A->rmap->n*sizeof(PetscBool));CHKERRQ(ierr);
1934   for (i=0; i<N; i++) {
1935     if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1936     ierr = PetscMemzero(&a->a[a->i[rows[i]]],a->ilen[rows[i]]*sizeof(PetscScalar));CHKERRQ(ierr);
1937 
1938     zeroed[rows[i]] = PETSC_TRUE;
1939   }
1940   for (i=0; i<A->rmap->n; i++) {
1941     if (!zeroed[i]) {
1942       for (j=a->i[i]; j<a->i[i+1]; j++) {
1943         if (zeroed[a->j[j]]) {
1944           if (vecs) bb[i] -= a->a[j]*xx[a->j[j]];
1945           a->a[j] = 0.0;
1946         }
1947       }
1948     } else if (vecs) bb[i] = diag*xx[i];
1949   }
1950   if (x && b) {
1951     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1952     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1953   }
1954   ierr = PetscFree(zeroed);CHKERRQ(ierr);
1955   if (diag != 0.0) {
1956     ierr = MatMissingDiagonal_SeqAIJ(A,&missing,&d);CHKERRQ(ierr);
1957     if (missing) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Matrix is missing diagonal entry in row %D",d);
1958     for (i=0; i<N; i++) {
1959       a->a[a->diag[rows[i]]] = diag;
1960     }
1961   }
1962   A->same_nonzero = PETSC_TRUE;
1963   ierr = MatAssemblyEnd_SeqAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1964   PetscFunctionReturn(0);
1965 }
1966 
1967 #undef __FUNCT__
1968 #define __FUNCT__ "MatGetRow_SeqAIJ"
1969 PetscErrorCode MatGetRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1970 {
1971   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1972   PetscInt   *itmp;
1973 
1974   PetscFunctionBegin;
1975   if (row < 0 || row >= A->rmap->n) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row %D out of range",row);
1976 
1977   *nz = a->i[row+1] - a->i[row];
1978   if (v) *v = a->a + a->i[row];
1979   if (idx) {
1980     itmp = a->j + a->i[row];
1981     if (*nz) *idx = itmp;
1982     else *idx = 0;
1983   }
1984   PetscFunctionReturn(0);
1985 }
1986 
1987 /* remove this function? */
1988 #undef __FUNCT__
1989 #define __FUNCT__ "MatRestoreRow_SeqAIJ"
1990 PetscErrorCode MatRestoreRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1991 {
1992   PetscFunctionBegin;
1993   PetscFunctionReturn(0);
1994 }
1995 
1996 #undef __FUNCT__
1997 #define __FUNCT__ "MatNorm_SeqAIJ"
1998 PetscErrorCode MatNorm_SeqAIJ(Mat A,NormType type,PetscReal *nrm)
1999 {
2000   Mat_SeqAIJ     *a  = (Mat_SeqAIJ*)A->data;
2001   MatScalar      *v  = a->a;
2002   PetscReal      sum = 0.0;
2003   PetscErrorCode ierr;
2004   PetscInt       i,j;
2005 
2006   PetscFunctionBegin;
2007   if (type == NORM_FROBENIUS) {
2008     for (i=0; i<a->nz; i++) {
2009       sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
2010     }
2011     *nrm = PetscSqrtReal(sum);
2012   } else if (type == NORM_1) {
2013     PetscReal *tmp;
2014     PetscInt  *jj = a->j;
2015     ierr = PetscMalloc((A->cmap->n+1)*sizeof(PetscReal),&tmp);CHKERRQ(ierr);
2016     ierr = PetscMemzero(tmp,A->cmap->n*sizeof(PetscReal));CHKERRQ(ierr);
2017     *nrm = 0.0;
2018     for (j=0; j<a->nz; j++) {
2019       tmp[*jj++] += PetscAbsScalar(*v);  v++;
2020     }
2021     for (j=0; j<A->cmap->n; j++) {
2022       if (tmp[j] > *nrm) *nrm = tmp[j];
2023     }
2024     ierr = PetscFree(tmp);CHKERRQ(ierr);
2025   } else if (type == NORM_INFINITY) {
2026     *nrm = 0.0;
2027     for (j=0; j<A->rmap->n; j++) {
2028       v   = a->a + a->i[j];
2029       sum = 0.0;
2030       for (i=0; i<a->i[j+1]-a->i[j]; i++) {
2031         sum += PetscAbsScalar(*v); v++;
2032       }
2033       if (sum > *nrm) *nrm = sum;
2034     }
2035   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for two norm");
2036   PetscFunctionReturn(0);
2037 }
2038 
2039 /* Merged from MatGetSymbolicTranspose_SeqAIJ() - replace MatGetSymbolicTranspose_SeqAIJ()? */
2040 #undef __FUNCT__
2041 #define __FUNCT__ "MatTransposeSymbolic_SeqAIJ"
2042 PetscErrorCode MatTransposeSymbolic_SeqAIJ(Mat A,Mat *B)
2043 {
2044   PetscErrorCode ierr;
2045   PetscInt       i,j,anzj;
2046   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data,*b;
2047   PetscInt       an=A->cmap->N,am=A->rmap->N;
2048   PetscInt       *ati,*atj,*atfill,*ai=a->i,*aj=a->j;
2049 
2050   PetscFunctionBegin;
2051   /* Allocate space for symbolic transpose info and work array */
2052   ierr = PetscMalloc((an+1)*sizeof(PetscInt),&ati);CHKERRQ(ierr);
2053   ierr = PetscMalloc(ai[am]*sizeof(PetscInt),&atj);CHKERRQ(ierr);
2054   ierr = PetscMalloc(an*sizeof(PetscInt),&atfill);CHKERRQ(ierr);
2055   ierr = PetscMemzero(ati,(an+1)*sizeof(PetscInt));CHKERRQ(ierr);
2056 
2057   /* Walk through aj and count ## of non-zeros in each row of A^T. */
2058   /* Note: offset by 1 for fast conversion into csr format. */
2059   for (i=0;i<ai[am];i++) ati[aj[i]+1] += 1;
2060   /* Form ati for csr format of A^T. */
2061   for (i=0;i<an;i++) ati[i+1] += ati[i];
2062 
2063   /* Copy ati into atfill so we have locations of the next free space in atj */
2064   ierr = PetscMemcpy(atfill,ati,an*sizeof(PetscInt));CHKERRQ(ierr);
2065 
2066   /* Walk through A row-wise and mark nonzero entries of A^T. */
2067   for (i=0;i<am;i++) {
2068     anzj = ai[i+1] - ai[i];
2069     for (j=0;j<anzj;j++) {
2070       atj[atfill[*aj]] = i;
2071       atfill[*aj++]   += 1;
2072     }
2073   }
2074 
2075   /* Clean up temporary space and complete requests. */
2076   ierr = PetscFree(atfill);CHKERRQ(ierr);
2077   ierr = MatCreateSeqAIJWithArrays(PetscObjectComm((PetscObject)A),an,am,ati,atj,NULL,B);CHKERRQ(ierr);
2078 
2079   (*B)->rmap->bs = A->cmap->bs;
2080   (*B)->cmap->bs = A->rmap->bs;
2081 
2082   b          = (Mat_SeqAIJ*)((*B)->data);
2083   b->free_a  = PETSC_FALSE;
2084   b->free_ij = PETSC_TRUE;
2085   b->nonew   = 0;
2086   PetscFunctionReturn(0);
2087 }
2088 
2089 #undef __FUNCT__
2090 #define __FUNCT__ "MatTranspose_SeqAIJ"
2091 PetscErrorCode MatTranspose_SeqAIJ(Mat A,MatReuse reuse,Mat *B)
2092 {
2093   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2094   Mat            C;
2095   PetscErrorCode ierr;
2096   PetscInt       i,*aj = a->j,*ai = a->i,m = A->rmap->n,len,*col;
2097   MatScalar      *array = a->a;
2098 
2099   PetscFunctionBegin;
2100   if (reuse == MAT_REUSE_MATRIX && A == *B && m != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Square matrix only for in-place");
2101 
2102   if (reuse == MAT_INITIAL_MATRIX || *B == A) {
2103     ierr = PetscMalloc((1+A->cmap->n)*sizeof(PetscInt),&col);CHKERRQ(ierr);
2104     ierr = PetscMemzero(col,(1+A->cmap->n)*sizeof(PetscInt));CHKERRQ(ierr);
2105 
2106     for (i=0; i<ai[m]; i++) col[aj[i]] += 1;
2107     ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2108     ierr = MatSetSizes(C,A->cmap->n,m,A->cmap->n,m);CHKERRQ(ierr);
2109     ierr = MatSetBlockSizes(C,A->cmap->bs,A->rmap->bs);CHKERRQ(ierr);
2110     ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2111     ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,col);CHKERRQ(ierr);
2112     ierr = PetscFree(col);CHKERRQ(ierr);
2113   } else {
2114     C = *B;
2115   }
2116 
2117   for (i=0; i<m; i++) {
2118     len    = ai[i+1]-ai[i];
2119     ierr   = MatSetValues_SeqAIJ(C,len,aj,1,&i,array,INSERT_VALUES);CHKERRQ(ierr);
2120     array += len;
2121     aj    += len;
2122   }
2123   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2124   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2125 
2126   if (reuse == MAT_INITIAL_MATRIX || *B != A) {
2127     *B = C;
2128   } else {
2129     ierr = MatHeaderMerge(A,C);CHKERRQ(ierr);
2130   }
2131   PetscFunctionReturn(0);
2132 }
2133 
2134 #undef __FUNCT__
2135 #define __FUNCT__ "MatIsTranspose_SeqAIJ"
2136 PetscErrorCode  MatIsTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
2137 {
2138   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) A->data,*bij = (Mat_SeqAIJ*) A->data;
2139   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr;
2140   MatScalar      *va,*vb;
2141   PetscErrorCode ierr;
2142   PetscInt       ma,na,mb,nb, i;
2143 
2144   PetscFunctionBegin;
2145   bij = (Mat_SeqAIJ*) B->data;
2146 
2147   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
2148   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
2149   if (ma!=nb || na!=mb) {
2150     *f = PETSC_FALSE;
2151     PetscFunctionReturn(0);
2152   }
2153   aii  = aij->i; bii = bij->i;
2154   adx  = aij->j; bdx = bij->j;
2155   va   = aij->a; vb = bij->a;
2156   ierr = PetscMalloc(ma*sizeof(PetscInt),&aptr);CHKERRQ(ierr);
2157   ierr = PetscMalloc(mb*sizeof(PetscInt),&bptr);CHKERRQ(ierr);
2158   for (i=0; i<ma; i++) aptr[i] = aii[i];
2159   for (i=0; i<mb; i++) bptr[i] = bii[i];
2160 
2161   *f = PETSC_TRUE;
2162   for (i=0; i<ma; i++) {
2163     while (aptr[i]<aii[i+1]) {
2164       PetscInt    idc,idr;
2165       PetscScalar vc,vr;
2166       /* column/row index/value */
2167       idc = adx[aptr[i]];
2168       idr = bdx[bptr[idc]];
2169       vc  = va[aptr[i]];
2170       vr  = vb[bptr[idc]];
2171       if (i!=idr || PetscAbsScalar(vc-vr) > tol) {
2172         *f = PETSC_FALSE;
2173         goto done;
2174       } else {
2175         aptr[i]++;
2176         if (B || i!=idc) bptr[idc]++;
2177       }
2178     }
2179   }
2180 done:
2181   ierr = PetscFree(aptr);CHKERRQ(ierr);
2182   ierr = PetscFree(bptr);CHKERRQ(ierr);
2183   PetscFunctionReturn(0);
2184 }
2185 
2186 #undef __FUNCT__
2187 #define __FUNCT__ "MatIsHermitianTranspose_SeqAIJ"
2188 PetscErrorCode  MatIsHermitianTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
2189 {
2190   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) A->data,*bij = (Mat_SeqAIJ*) A->data;
2191   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr;
2192   MatScalar      *va,*vb;
2193   PetscErrorCode ierr;
2194   PetscInt       ma,na,mb,nb, i;
2195 
2196   PetscFunctionBegin;
2197   bij = (Mat_SeqAIJ*) B->data;
2198 
2199   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
2200   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
2201   if (ma!=nb || na!=mb) {
2202     *f = PETSC_FALSE;
2203     PetscFunctionReturn(0);
2204   }
2205   aii  = aij->i; bii = bij->i;
2206   adx  = aij->j; bdx = bij->j;
2207   va   = aij->a; vb = bij->a;
2208   ierr = PetscMalloc(ma*sizeof(PetscInt),&aptr);CHKERRQ(ierr);
2209   ierr = PetscMalloc(mb*sizeof(PetscInt),&bptr);CHKERRQ(ierr);
2210   for (i=0; i<ma; i++) aptr[i] = aii[i];
2211   for (i=0; i<mb; i++) bptr[i] = bii[i];
2212 
2213   *f = PETSC_TRUE;
2214   for (i=0; i<ma; i++) {
2215     while (aptr[i]<aii[i+1]) {
2216       PetscInt    idc,idr;
2217       PetscScalar vc,vr;
2218       /* column/row index/value */
2219       idc = adx[aptr[i]];
2220       idr = bdx[bptr[idc]];
2221       vc  = va[aptr[i]];
2222       vr  = vb[bptr[idc]];
2223       if (i!=idr || PetscAbsScalar(vc-PetscConj(vr)) > tol) {
2224         *f = PETSC_FALSE;
2225         goto done;
2226       } else {
2227         aptr[i]++;
2228         if (B || i!=idc) bptr[idc]++;
2229       }
2230     }
2231   }
2232 done:
2233   ierr = PetscFree(aptr);CHKERRQ(ierr);
2234   ierr = PetscFree(bptr);CHKERRQ(ierr);
2235   PetscFunctionReturn(0);
2236 }
2237 
2238 #undef __FUNCT__
2239 #define __FUNCT__ "MatIsSymmetric_SeqAIJ"
2240 PetscErrorCode MatIsSymmetric_SeqAIJ(Mat A,PetscReal tol,PetscBool  *f)
2241 {
2242   PetscErrorCode ierr;
2243 
2244   PetscFunctionBegin;
2245   ierr = MatIsTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
2246   PetscFunctionReturn(0);
2247 }
2248 
2249 #undef __FUNCT__
2250 #define __FUNCT__ "MatIsHermitian_SeqAIJ"
2251 PetscErrorCode MatIsHermitian_SeqAIJ(Mat A,PetscReal tol,PetscBool  *f)
2252 {
2253   PetscErrorCode ierr;
2254 
2255   PetscFunctionBegin;
2256   ierr = MatIsHermitianTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
2257   PetscFunctionReturn(0);
2258 }
2259 
2260 #undef __FUNCT__
2261 #define __FUNCT__ "MatDiagonalScale_SeqAIJ"
2262 PetscErrorCode MatDiagonalScale_SeqAIJ(Mat A,Vec ll,Vec rr)
2263 {
2264   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2265   PetscScalar    *l,*r,x;
2266   MatScalar      *v;
2267   PetscErrorCode ierr;
2268   PetscInt       i,j,m = A->rmap->n,n = A->cmap->n,M,nz = a->nz,*jj;
2269 
2270   PetscFunctionBegin;
2271   if (ll) {
2272     /* The local size is used so that VecMPI can be passed to this routine
2273        by MatDiagonalScale_MPIAIJ */
2274     ierr = VecGetLocalSize(ll,&m);CHKERRQ(ierr);
2275     if (m != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Left scaling vector wrong length");
2276     ierr = VecGetArray(ll,&l);CHKERRQ(ierr);
2277     v    = a->a;
2278     for (i=0; i<m; i++) {
2279       x = l[i];
2280       M = a->i[i+1] - a->i[i];
2281       for (j=0; j<M; j++) (*v++) *= x;
2282     }
2283     ierr = VecRestoreArray(ll,&l);CHKERRQ(ierr);
2284     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
2285   }
2286   if (rr) {
2287     ierr = VecGetLocalSize(rr,&n);CHKERRQ(ierr);
2288     if (n != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Right scaling vector wrong length");
2289     ierr = VecGetArray(rr,&r);CHKERRQ(ierr);
2290     v    = a->a; jj = a->j;
2291     for (i=0; i<nz; i++) (*v++) *= r[*jj++];
2292     ierr = VecRestoreArray(rr,&r);CHKERRQ(ierr);
2293     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
2294   }
2295   ierr = MatSeqAIJInvalidateDiagonal(A);CHKERRQ(ierr);
2296   PetscFunctionReturn(0);
2297 }
2298 
2299 #undef __FUNCT__
2300 #define __FUNCT__ "MatGetSubMatrix_SeqAIJ"
2301 PetscErrorCode MatGetSubMatrix_SeqAIJ(Mat A,IS isrow,IS iscol,PetscInt csize,MatReuse scall,Mat *B)
2302 {
2303   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*c;
2304   PetscErrorCode ierr;
2305   PetscInt       *smap,i,k,kstart,kend,oldcols = A->cmap->n,*lens;
2306   PetscInt       row,mat_i,*mat_j,tcol,first,step,*mat_ilen,sum,lensi;
2307   const PetscInt *irow,*icol;
2308   PetscInt       nrows,ncols;
2309   PetscInt       *starts,*j_new,*i_new,*aj = a->j,*ai = a->i,ii,*ailen = a->ilen;
2310   MatScalar      *a_new,*mat_a;
2311   Mat            C;
2312   PetscBool      stride,sorted;
2313 
2314   PetscFunctionBegin;
2315   ierr = ISSorted(isrow,&sorted);CHKERRQ(ierr);
2316   if (!sorted) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"ISrow is not sorted");
2317   ierr = ISSorted(iscol,&sorted);CHKERRQ(ierr);
2318   if (!sorted) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"IScol is not sorted");
2319 
2320   ierr = ISGetIndices(isrow,&irow);CHKERRQ(ierr);
2321   ierr = ISGetLocalSize(isrow,&nrows);CHKERRQ(ierr);
2322   ierr = ISGetLocalSize(iscol,&ncols);CHKERRQ(ierr);
2323 
2324   ierr = ISStrideGetInfo(iscol,&first,&step);CHKERRQ(ierr);
2325   ierr = PetscObjectTypeCompare((PetscObject)iscol,ISSTRIDE,&stride);CHKERRQ(ierr);
2326   if (stride && step == 1) {
2327     /* special case of contiguous rows */
2328     ierr = PetscMalloc2(nrows,PetscInt,&lens,nrows,PetscInt,&starts);CHKERRQ(ierr);
2329     /* loop over new rows determining lens and starting points */
2330     for (i=0; i<nrows; i++) {
2331       kstart = ai[irow[i]];
2332       kend   = kstart + ailen[irow[i]];
2333       for (k=kstart; k<kend; k++) {
2334         if (aj[k] >= first) {
2335           starts[i] = k;
2336           break;
2337         }
2338       }
2339       sum = 0;
2340       while (k < kend) {
2341         if (aj[k++] >= first+ncols) break;
2342         sum++;
2343       }
2344       lens[i] = sum;
2345     }
2346     /* create submatrix */
2347     if (scall == MAT_REUSE_MATRIX) {
2348       PetscInt n_cols,n_rows;
2349       ierr = MatGetSize(*B,&n_rows,&n_cols);CHKERRQ(ierr);
2350       if (n_rows != nrows || n_cols != ncols) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Reused submatrix wrong size");
2351       ierr = MatZeroEntries(*B);CHKERRQ(ierr);
2352       C    = *B;
2353     } else {
2354       PetscInt rbs,cbs;
2355       ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2356       ierr = MatSetSizes(C,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2357       ierr = ISGetBlockSize(isrow,&rbs);CHKERRQ(ierr);
2358       ierr = ISGetBlockSize(iscol,&cbs);CHKERRQ(ierr);
2359       ierr = MatSetBlockSizes(C,rbs,cbs);CHKERRQ(ierr);
2360       ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2361       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
2362     }
2363     c = (Mat_SeqAIJ*)C->data;
2364 
2365     /* loop over rows inserting into submatrix */
2366     a_new = c->a;
2367     j_new = c->j;
2368     i_new = c->i;
2369 
2370     for (i=0; i<nrows; i++) {
2371       ii    = starts[i];
2372       lensi = lens[i];
2373       for (k=0; k<lensi; k++) {
2374         *j_new++ = aj[ii+k] - first;
2375       }
2376       ierr       = PetscMemcpy(a_new,a->a + starts[i],lensi*sizeof(PetscScalar));CHKERRQ(ierr);
2377       a_new     += lensi;
2378       i_new[i+1] = i_new[i] + lensi;
2379       c->ilen[i] = lensi;
2380     }
2381     ierr = PetscFree2(lens,starts);CHKERRQ(ierr);
2382   } else {
2383     ierr = ISGetIndices(iscol,&icol);CHKERRQ(ierr);
2384     ierr = PetscMalloc(oldcols*sizeof(PetscInt),&smap);CHKERRQ(ierr);
2385     ierr = PetscMemzero(smap,oldcols*sizeof(PetscInt));CHKERRQ(ierr);
2386     ierr = PetscMalloc((1+nrows)*sizeof(PetscInt),&lens);CHKERRQ(ierr);
2387     for (i=0; i<ncols; i++) {
2388 #if defined(PETSC_USE_DEBUG)
2389       if (icol[i] >= oldcols) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Requesting column beyond largest column icol[%D] %D <= A->cmap->n %D",i,icol[i],oldcols);
2390 #endif
2391       smap[icol[i]] = i+1;
2392     }
2393 
2394     /* determine lens of each row */
2395     for (i=0; i<nrows; i++) {
2396       kstart  = ai[irow[i]];
2397       kend    = kstart + a->ilen[irow[i]];
2398       lens[i] = 0;
2399       for (k=kstart; k<kend; k++) {
2400         if (smap[aj[k]]) {
2401           lens[i]++;
2402         }
2403       }
2404     }
2405     /* Create and fill new matrix */
2406     if (scall == MAT_REUSE_MATRIX) {
2407       PetscBool equal;
2408 
2409       c = (Mat_SeqAIJ*)((*B)->data);
2410       if ((*B)->rmap->n  != nrows || (*B)->cmap->n != ncols) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong size");
2411       ierr = PetscMemcmp(c->ilen,lens,(*B)->rmap->n*sizeof(PetscInt),&equal);CHKERRQ(ierr);
2412       if (!equal) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong no of nonzeros");
2413       ierr = PetscMemzero(c->ilen,(*B)->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
2414       C    = *B;
2415     } else {
2416       PetscInt rbs,cbs;
2417       ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
2418       ierr = MatSetSizes(C,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2419       ierr = ISGetBlockSize(isrow,&rbs);CHKERRQ(ierr);
2420       ierr = ISGetBlockSize(iscol,&cbs);CHKERRQ(ierr);
2421       ierr = MatSetBlockSizes(C,rbs,cbs);CHKERRQ(ierr);
2422       ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
2423       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
2424     }
2425     c = (Mat_SeqAIJ*)(C->data);
2426     for (i=0; i<nrows; i++) {
2427       row      = irow[i];
2428       kstart   = ai[row];
2429       kend     = kstart + a->ilen[row];
2430       mat_i    = c->i[i];
2431       mat_j    = c->j + mat_i;
2432       mat_a    = c->a + mat_i;
2433       mat_ilen = c->ilen + i;
2434       for (k=kstart; k<kend; k++) {
2435         if ((tcol=smap[a->j[k]])) {
2436           *mat_j++ = tcol - 1;
2437           *mat_a++ = a->a[k];
2438           (*mat_ilen)++;
2439 
2440         }
2441       }
2442     }
2443     /* Free work space */
2444     ierr = ISRestoreIndices(iscol,&icol);CHKERRQ(ierr);
2445     ierr = PetscFree(smap);CHKERRQ(ierr);
2446     ierr = PetscFree(lens);CHKERRQ(ierr);
2447   }
2448   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2449   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2450 
2451   ierr = ISRestoreIndices(isrow,&irow);CHKERRQ(ierr);
2452   *B   = C;
2453   PetscFunctionReturn(0);
2454 }
2455 
2456 #undef __FUNCT__
2457 #define __FUNCT__ "MatGetMultiProcBlock_SeqAIJ"
2458 PetscErrorCode  MatGetMultiProcBlock_SeqAIJ(Mat mat,MPI_Comm subComm,MatReuse scall,Mat *subMat)
2459 {
2460   PetscErrorCode ierr;
2461   Mat            B;
2462 
2463   PetscFunctionBegin;
2464   if (scall == MAT_INITIAL_MATRIX) {
2465     ierr    = MatCreate(subComm,&B);CHKERRQ(ierr);
2466     ierr    = MatSetSizes(B,mat->rmap->n,mat->cmap->n,mat->rmap->n,mat->cmap->n);CHKERRQ(ierr);
2467     ierr    = MatSetBlockSizes(B,mat->rmap->bs,mat->cmap->bs);CHKERRQ(ierr);
2468     ierr    = MatSetType(B,MATSEQAIJ);CHKERRQ(ierr);
2469     ierr    = MatDuplicateNoCreate_SeqAIJ(B,mat,MAT_COPY_VALUES,PETSC_TRUE);CHKERRQ(ierr);
2470     *subMat = B;
2471   } else {
2472     ierr = MatCopy_SeqAIJ(mat,*subMat,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
2473   }
2474   PetscFunctionReturn(0);
2475 }
2476 
2477 #undef __FUNCT__
2478 #define __FUNCT__ "MatILUFactor_SeqAIJ"
2479 PetscErrorCode MatILUFactor_SeqAIJ(Mat inA,IS row,IS col,const MatFactorInfo *info)
2480 {
2481   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)inA->data;
2482   PetscErrorCode ierr;
2483   Mat            outA;
2484   PetscBool      row_identity,col_identity;
2485 
2486   PetscFunctionBegin;
2487   if (info->levels != 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only levels=0 supported for in-place ilu");
2488 
2489   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
2490   ierr = ISIdentity(col,&col_identity);CHKERRQ(ierr);
2491 
2492   outA             = inA;
2493   outA->factortype = MAT_FACTOR_LU;
2494 
2495   ierr = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
2496   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
2497 
2498   a->row = row;
2499 
2500   ierr = PetscObjectReference((PetscObject)col);CHKERRQ(ierr);
2501   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
2502 
2503   a->col = col;
2504 
2505   /* Create the inverse permutation so that it can be used in MatLUFactorNumeric() */
2506   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
2507   ierr = ISInvertPermutation(col,PETSC_DECIDE,&a->icol);CHKERRQ(ierr);
2508   ierr = PetscLogObjectParent((PetscObject)inA,(PetscObject)a->icol);CHKERRQ(ierr);
2509 
2510   if (!a->solve_work) { /* this matrix may have been factored before */
2511     ierr = PetscMalloc((inA->rmap->n+1)*sizeof(PetscScalar),&a->solve_work);CHKERRQ(ierr);
2512     ierr = PetscLogObjectMemory((PetscObject)inA, (inA->rmap->n+1)*sizeof(PetscScalar));CHKERRQ(ierr);
2513   }
2514 
2515   ierr = MatMarkDiagonal_SeqAIJ(inA);CHKERRQ(ierr);
2516   if (row_identity && col_identity) {
2517     ierr = MatLUFactorNumeric_SeqAIJ_inplace(outA,inA,info);CHKERRQ(ierr);
2518   } else {
2519     ierr = MatLUFactorNumeric_SeqAIJ_InplaceWithPerm(outA,inA,info);CHKERRQ(ierr);
2520   }
2521   PetscFunctionReturn(0);
2522 }
2523 
2524 #undef __FUNCT__
2525 #define __FUNCT__ "MatScale_SeqAIJ"
2526 PetscErrorCode MatScale_SeqAIJ(Mat inA,PetscScalar alpha)
2527 {
2528   Mat_SeqAIJ     *a     = (Mat_SeqAIJ*)inA->data;
2529   PetscScalar    oalpha = alpha;
2530   PetscErrorCode ierr;
2531   PetscBLASInt   one = 1,bnz;
2532 
2533   PetscFunctionBegin;
2534   ierr = PetscBLASIntCast(a->nz,&bnz);CHKERRQ(ierr);
2535   PetscStackCallBLAS("BLASscal",BLASscal_(&bnz,&oalpha,a->a,&one));
2536   ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
2537   ierr = MatSeqAIJInvalidateDiagonal(inA);CHKERRQ(ierr);
2538   PetscFunctionReturn(0);
2539 }
2540 
2541 #undef __FUNCT__
2542 #define __FUNCT__ "MatGetSubMatrices_SeqAIJ"
2543 PetscErrorCode MatGetSubMatrices_SeqAIJ(Mat A,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
2544 {
2545   PetscErrorCode ierr;
2546   PetscInt       i;
2547 
2548   PetscFunctionBegin;
2549   if (scall == MAT_INITIAL_MATRIX) {
2550     ierr = PetscMalloc((n+1)*sizeof(Mat),B);CHKERRQ(ierr);
2551   }
2552 
2553   for (i=0; i<n; i++) {
2554     ierr = MatGetSubMatrix_SeqAIJ(A,irow[i],icol[i],PETSC_DECIDE,scall,&(*B)[i]);CHKERRQ(ierr);
2555   }
2556   PetscFunctionReturn(0);
2557 }
2558 
2559 #undef __FUNCT__
2560 #define __FUNCT__ "MatIncreaseOverlap_SeqAIJ"
2561 PetscErrorCode MatIncreaseOverlap_SeqAIJ(Mat A,PetscInt is_max,IS is[],PetscInt ov)
2562 {
2563   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2564   PetscErrorCode ierr;
2565   PetscInt       row,i,j,k,l,m,n,*nidx,isz,val;
2566   const PetscInt *idx;
2567   PetscInt       start,end,*ai,*aj;
2568   PetscBT        table;
2569 
2570   PetscFunctionBegin;
2571   m  = A->rmap->n;
2572   ai = a->i;
2573   aj = a->j;
2574 
2575   if (ov < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"illegal negative overlap value used");
2576 
2577   ierr = PetscMalloc((m+1)*sizeof(PetscInt),&nidx);CHKERRQ(ierr);
2578   ierr = PetscBTCreate(m,&table);CHKERRQ(ierr);
2579 
2580   for (i=0; i<is_max; i++) {
2581     /* Initialize the two local arrays */
2582     isz  = 0;
2583     ierr = PetscBTMemzero(m,table);CHKERRQ(ierr);
2584 
2585     /* Extract the indices, assume there can be duplicate entries */
2586     ierr = ISGetIndices(is[i],&idx);CHKERRQ(ierr);
2587     ierr = ISGetLocalSize(is[i],&n);CHKERRQ(ierr);
2588 
2589     /* Enter these into the temp arrays. I.e., mark table[row], enter row into new index */
2590     for (j=0; j<n; ++j) {
2591       if (!PetscBTLookupSet(table,idx[j])) nidx[isz++] = idx[j];
2592     }
2593     ierr = ISRestoreIndices(is[i],&idx);CHKERRQ(ierr);
2594     ierr = ISDestroy(&is[i]);CHKERRQ(ierr);
2595 
2596     k = 0;
2597     for (j=0; j<ov; j++) { /* for each overlap */
2598       n = isz;
2599       for (; k<n; k++) { /* do only those rows in nidx[k], which are not done yet */
2600         row   = nidx[k];
2601         start = ai[row];
2602         end   = ai[row+1];
2603         for (l = start; l<end; l++) {
2604           val = aj[l];
2605           if (!PetscBTLookupSet(table,val)) nidx[isz++] = val;
2606         }
2607       }
2608     }
2609     ierr = ISCreateGeneral(PETSC_COMM_SELF,isz,nidx,PETSC_COPY_VALUES,(is+i));CHKERRQ(ierr);
2610   }
2611   ierr = PetscBTDestroy(&table);CHKERRQ(ierr);
2612   ierr = PetscFree(nidx);CHKERRQ(ierr);
2613   PetscFunctionReturn(0);
2614 }
2615 
2616 /* -------------------------------------------------------------- */
2617 #undef __FUNCT__
2618 #define __FUNCT__ "MatPermute_SeqAIJ"
2619 PetscErrorCode MatPermute_SeqAIJ(Mat A,IS rowp,IS colp,Mat *B)
2620 {
2621   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2622   PetscErrorCode ierr;
2623   PetscInt       i,nz = 0,m = A->rmap->n,n = A->cmap->n;
2624   const PetscInt *row,*col;
2625   PetscInt       *cnew,j,*lens;
2626   IS             icolp,irowp;
2627   PetscInt       *cwork = NULL;
2628   PetscScalar    *vwork = NULL;
2629 
2630   PetscFunctionBegin;
2631   ierr = ISInvertPermutation(rowp,PETSC_DECIDE,&irowp);CHKERRQ(ierr);
2632   ierr = ISGetIndices(irowp,&row);CHKERRQ(ierr);
2633   ierr = ISInvertPermutation(colp,PETSC_DECIDE,&icolp);CHKERRQ(ierr);
2634   ierr = ISGetIndices(icolp,&col);CHKERRQ(ierr);
2635 
2636   /* determine lengths of permuted rows */
2637   ierr = PetscMalloc((m+1)*sizeof(PetscInt),&lens);CHKERRQ(ierr);
2638   for (i=0; i<m; i++) lens[row[i]] = a->i[i+1] - a->i[i];
2639   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
2640   ierr = MatSetSizes(*B,m,n,m,n);CHKERRQ(ierr);
2641   ierr = MatSetBlockSizes(*B,A->rmap->bs,A->cmap->bs);CHKERRQ(ierr);
2642   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2643   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*B,0,lens);CHKERRQ(ierr);
2644   ierr = PetscFree(lens);CHKERRQ(ierr);
2645 
2646   ierr = PetscMalloc(n*sizeof(PetscInt),&cnew);CHKERRQ(ierr);
2647   for (i=0; i<m; i++) {
2648     ierr = MatGetRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2649     for (j=0; j<nz; j++) cnew[j] = col[cwork[j]];
2650     ierr = MatSetValues_SeqAIJ(*B,1,&row[i],nz,cnew,vwork,INSERT_VALUES);CHKERRQ(ierr);
2651     ierr = MatRestoreRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2652   }
2653   ierr = PetscFree(cnew);CHKERRQ(ierr);
2654 
2655   (*B)->assembled = PETSC_FALSE;
2656 
2657   ierr = MatAssemblyBegin(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2658   ierr = MatAssemblyEnd(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2659   ierr = ISRestoreIndices(irowp,&row);CHKERRQ(ierr);
2660   ierr = ISRestoreIndices(icolp,&col);CHKERRQ(ierr);
2661   ierr = ISDestroy(&irowp);CHKERRQ(ierr);
2662   ierr = ISDestroy(&icolp);CHKERRQ(ierr);
2663   PetscFunctionReturn(0);
2664 }
2665 
2666 #undef __FUNCT__
2667 #define __FUNCT__ "MatCopy_SeqAIJ"
2668 PetscErrorCode MatCopy_SeqAIJ(Mat A,Mat B,MatStructure str)
2669 {
2670   PetscErrorCode ierr;
2671 
2672   PetscFunctionBegin;
2673   /* If the two matrices have the same copy implementation, use fast copy. */
2674   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
2675     Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2676     Mat_SeqAIJ *b = (Mat_SeqAIJ*)B->data;
2677 
2678     if (a->i[A->rmap->n] != b->i[B->rmap->n]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Number of nonzeros in two matrices are different");
2679     ierr = PetscMemcpy(b->a,a->a,(a->i[A->rmap->n])*sizeof(PetscScalar));CHKERRQ(ierr);
2680   } else {
2681     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
2682   }
2683   PetscFunctionReturn(0);
2684 }
2685 
2686 #undef __FUNCT__
2687 #define __FUNCT__ "MatSetUp_SeqAIJ"
2688 PetscErrorCode MatSetUp_SeqAIJ(Mat A)
2689 {
2690   PetscErrorCode ierr;
2691 
2692   PetscFunctionBegin;
2693   ierr =  MatSeqAIJSetPreallocation_SeqAIJ(A,PETSC_DEFAULT,0);CHKERRQ(ierr);
2694   PetscFunctionReturn(0);
2695 }
2696 
2697 #undef __FUNCT__
2698 #define __FUNCT__ "MatSeqAIJGetArray_SeqAIJ"
2699 PetscErrorCode MatSeqAIJGetArray_SeqAIJ(Mat A,PetscScalar *array[])
2700 {
2701   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2702 
2703   PetscFunctionBegin;
2704   *array = a->a;
2705   PetscFunctionReturn(0);
2706 }
2707 
2708 #undef __FUNCT__
2709 #define __FUNCT__ "MatSeqAIJRestoreArray_SeqAIJ"
2710 PetscErrorCode MatSeqAIJRestoreArray_SeqAIJ(Mat A,PetscScalar *array[])
2711 {
2712   PetscFunctionBegin;
2713   PetscFunctionReturn(0);
2714 }
2715 
2716 /* Optimize MatFDColoringApply_AIJ() by using array den2sp to skip calling MatSetValues() */
2717 //#define JACOBIANCOLOROPT
2718 #if defined(JACOBIANCOLOROPT)
2719 #include <petsctime.h>
2720 #endif
2721 #undef __FUNCT__
2722 #define __FUNCT__ "MatFDColoringApply_SeqAIJ"
2723 PetscErrorCode MatFDColoringApply_SeqAIJ(Mat J,MatFDColoring coloring,Vec x1,MatStructure *flag,void *sctx)
2724 {
2725   PetscErrorCode (*f)(void*,Vec,Vec,void*) = (PetscErrorCode (*)(void*,Vec,Vec,void*))coloring->f;
2726   PetscErrorCode ierr;
2727   PetscInt       k,l,row,col,N;
2728   PetscScalar    dx,*y,*xx,*w3_array;
2729   PetscScalar    *vscale_array;
2730   PetscReal      epsilon=coloring->error_rel,umin = coloring->umin,unorm;
2731   Vec            w1=coloring->w1,w2=coloring->w2,w3;
2732   void           *fctx=coloring->fctx;
2733   PetscBool      flg=PETSC_FALSE;
2734   Mat_SeqAIJ     *csp=(Mat_SeqAIJ*)J->data;
2735   PetscScalar    *ca=csp->a;
2736   const PetscInt ncolors=coloring->ncolors,*ncolumns=coloring->ncolumns,*nrows=coloring->nrows;
2737   PetscInt       *den2sp=coloring->den2sp,*idx;
2738   PetscInt       **rows=coloring->rows,**columns=coloring->columns,ncolumns_k,nrows_k,**columnsforrow=coloring->columnsforrow;
2739 #if defined(JACOBIANCOLOROPT)
2740   PetscLogDouble t0,t1,t_init=0.0,t_setvals=0.0,t_func=0.0,t_dx=0.0,t_kl=0.0,t00,t11;
2741 #endif
2742   PetscInt       kl;
2743 
2744   PetscFunctionBegin;
2745 #if defined(JACOBIANCOLOROPT)
2746     ierr = PetscTime(&t0);CHKERRQ(ierr);
2747 #endif
2748   ierr = MatSetUnfactored(J);CHKERRQ(ierr);
2749   ierr = PetscOptionsGetBool(NULL,"-mat_fd_coloring_dont_rezero",&flg,NULL);CHKERRQ(ierr);
2750   if (flg) {
2751     ierr = PetscInfo(coloring,"Not calling MatZeroEntries()\n");CHKERRQ(ierr);
2752   } else {
2753     PetscBool assembled;
2754     ierr = MatAssembled(J,&assembled);CHKERRQ(ierr);
2755     if (assembled) {
2756       ierr = MatZeroEntries(J);CHKERRQ(ierr);
2757     }
2758   }
2759 
2760   if (!coloring->vscale) {
2761     ierr = VecDuplicate(x1,&coloring->vscale);CHKERRQ(ierr);
2762   }
2763 
2764   if (coloring->htype[0] == 'w') { /* tacky test; need to make systematic if we add other approaches to computing h*/
2765     ierr = VecNorm(x1,NORM_2,&unorm);CHKERRQ(ierr);
2766   }
2767 #if defined(JACOBIANCOLOROPT)
2768     ierr = PetscTime(&t1);CHKERRQ(ierr);
2769     t_init += t1 - t0;
2770 #endif
2771 
2772   /* Set w1 = F(x1) */
2773 #if defined(JACOBIANCOLOROPT)
2774     ierr = PetscTime(&t0);CHKERRQ(ierr);
2775 #endif
2776   if (!coloring->fset) {
2777     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2778     ierr = (*f)(sctx,x1,w1,fctx);CHKERRQ(ierr);
2779     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2780   } else {
2781     coloring->fset = PETSC_FALSE;
2782   }
2783 #if defined(JACOBIANCOLOROPT)
2784     ierr = PetscTime(&t1);CHKERRQ(ierr);
2785     t_setvals += t1 - t0;
2786 #endif
2787 
2788 #if defined(JACOBIANCOLOROPT)
2789     ierr = PetscTime(&t0);CHKERRQ(ierr);
2790 #endif
2791   if (!coloring->w3) {
2792     ierr = VecDuplicate(x1,&coloring->w3);CHKERRQ(ierr);
2793     ierr = PetscLogObjectParent((PetscObject)coloring,(PetscObject)coloring->w3);CHKERRQ(ierr);
2794   }
2795   w3 = coloring->w3;
2796 
2797   /* Compute scale factors: vscale = 1./dx = 1./(epsilon*xx) */
2798   ierr = VecGetArray(x1,&xx);CHKERRQ(ierr);
2799   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2800   ierr = VecGetSize(x1,&N);CHKERRQ(ierr);
2801   for (col=0; col<N; col++) {
2802     if (coloring->htype[0] == 'w') {
2803       dx = 1.0 + unorm;
2804     } else {
2805       dx = xx[col];
2806     }
2807     if (dx == (PetscScalar)0.0) dx = 1.0;
2808     if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2809     else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2810     dx               *= epsilon;
2811     vscale_array[col] = (PetscScalar)dx;
2812   }
2813 #if defined(JACOBIANCOLOROPT)
2814     ierr = PetscTime(&t1);CHKERRQ(ierr);
2815     t_init += t1 - t0;
2816 #endif
2817 
2818   idx = den2sp;
2819   for (k=0; k<ncolors; k++) { /* loop over colors */
2820 #if defined(JACOBIANCOLOROPT)
2821     ierr = PetscTime(&t0);CHKERRQ(ierr);
2822 #endif
2823     coloring->currentcolor = k;
2824 
2825     /*
2826       Loop over each column associated with color
2827       adding the perturbation to the vector w3 = x1 + dx.
2828     */
2829     ierr = VecCopy(x1,w3);CHKERRQ(ierr);
2830     ierr = VecGetArray(w3,&w3_array);CHKERRQ(ierr);
2831     ncolumns_k = ncolumns[k];
2832     for (l=0; l<ncolumns_k; l++) { /* loop over columns */
2833       col = columns[k][l];
2834       w3_array[col] += vscale_array[col];
2835     }
2836     ierr = VecRestoreArray(w3,&w3_array);CHKERRQ(ierr);
2837 #if defined(JACOBIANCOLOROPT)
2838     ierr = PetscTime(&t1);CHKERRQ(ierr);
2839     t_dx += t1 - t0;
2840 #endif
2841 
2842     /*
2843       Evaluate function at w3 = x1 + dx (here dx is a vector of perturbations)
2844                            w2 = F(x1 + dx) - F(x1)
2845     */
2846 #if defined(JACOBIANCOLOROPT)
2847     ierr = PetscTime(&t0);CHKERRQ(ierr);
2848 #endif
2849     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2850     ierr = (*f)(sctx,w3,w2,fctx);CHKERRQ(ierr);
2851     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2852 #if defined(JACOBIANCOLOROPT)
2853     ierr = PetscTime(&t1);CHKERRQ(ierr);
2854     t_func += t1 - t0;
2855 #endif
2856 
2857 #if defined(JACOBIANCOLOROPT)
2858     ierr = PetscTime(&t0);CHKERRQ(ierr);
2859 #endif
2860     ierr = VecAXPY(w2,-1.0,w1);CHKERRQ(ierr);
2861 
2862     /*
2863       Loop over rows of vector, putting w2/dx into Jacobian matrix
2864     */
2865     ierr = VecGetArray(w2,&y);CHKERRQ(ierr);
2866     nrows_k = nrows[k];
2867     for (l=0; l<nrows_k; l++) { /* loop over rows */
2868 #if defined(JACOBIANCOLOROPT)
2869     ierr = PetscTime(&t00);CHKERRQ(ierr);
2870 #endif
2871       row     = rows[k][l];     /* row index */
2872       kl      = columnsforrow[k][l];
2873 #if defined(JACOBIANCOLOROPT)
2874     ierr = PetscTime(&t11);CHKERRQ(ierr);
2875     t_kl += t11 - t00;
2876 #endif
2877 
2878       ca[idx[l]] = y[row]/vscale_array[kl];//y[row]/vscale_array[columnsforrow[k][l]];
2879     }
2880     idx += nrows_k;
2881     ierr = VecRestoreArray(w2,&y);CHKERRQ(ierr);
2882 
2883 #if defined(JACOBIANCOLOROPT)
2884     ierr = PetscTime(&t1);CHKERRQ(ierr);
2885     t_setvals += t1 - t0;
2886 #endif
2887   } /* endof for each color */
2888 #if defined(JACOBIANCOLOROPT)
2889   printf("     FDColorApply time: init %g + func %g + setvalues %g + dx %g= %g\n",t_init,t_func,t_setvals,t_dx,t_init+t_func+t_setvals+t_dx);
2890   printf("     FDColorApply time: kl %g\n",t_kl);
2891 #endif
2892   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2893   ierr = VecRestoreArray(x1,&xx);CHKERRQ(ierr);
2894 
2895   coloring->currentcolor = -1;
2896   PetscFunctionReturn(0);
2897 }
2898 /* --------------------------------------------------------*/
2899 
2900 #undef __FUNCT__
2901 #define __FUNCT__ "MatFDColoringApply_SeqAIJ_old"
2902 PetscErrorCode MatFDColoringApply_SeqAIJ_old(Mat J,MatFDColoring coloring,Vec x1,MatStructure *flag,void *sctx)
2903 {
2904   PetscErrorCode (*f)(void*,Vec,Vec,void*) = (PetscErrorCode (*)(void*,Vec,Vec,void*))coloring->f;
2905   PetscErrorCode ierr;
2906   PetscInt       k,N,start,end,l,row,col,srow,**vscaleforrow;
2907   PetscScalar    dx,*y,*xx,*w3_array;
2908   PetscScalar    *vscale_array;
2909   PetscReal      epsilon = coloring->error_rel,umin = coloring->umin;
2910   Vec            w1,w2,w3;
2911   void           *fctx = coloring->fctx;
2912   PetscBool      flg   = PETSC_FALSE;
2913 
2914   PetscFunctionBegin;
2915   printf("MatFDColoringApply_SeqAIJ ...\n");
2916   if (!coloring->w1) {
2917     ierr = VecDuplicate(x1,&coloring->w1);CHKERRQ(ierr);
2918     ierr = PetscLogObjectParent((PetscObject)coloring,(PetscObject)coloring->w1);CHKERRQ(ierr);
2919     ierr = VecDuplicate(x1,&coloring->w2);CHKERRQ(ierr);
2920     ierr = PetscLogObjectParent((PetscObject)coloring,(PetscObject)coloring->w2);CHKERRQ(ierr);
2921     ierr = VecDuplicate(x1,&coloring->w3);CHKERRQ(ierr);
2922     ierr = PetscLogObjectParent((PetscObject)coloring,(PetscObject)coloring->w3);CHKERRQ(ierr);
2923   }
2924   w1 = coloring->w1; w2 = coloring->w2; w3 = coloring->w3;
2925 
2926   ierr = MatSetUnfactored(J);CHKERRQ(ierr);
2927   ierr = PetscOptionsGetBool(((PetscObject)coloring)->prefix,"-mat_fd_coloring_dont_rezero",&flg,NULL);CHKERRQ(ierr);
2928   if (flg) {
2929     ierr = PetscInfo(coloring,"Not calling MatZeroEntries()\n");CHKERRQ(ierr);
2930   } else {
2931     PetscBool assembled;
2932     ierr = MatAssembled(J,&assembled);CHKERRQ(ierr);
2933     if (assembled) {
2934       ierr = MatZeroEntries(J);CHKERRQ(ierr);
2935     }
2936   }
2937 
2938   ierr = VecGetOwnershipRange(x1,&start,&end);CHKERRQ(ierr);
2939   ierr = VecGetSize(x1,&N);CHKERRQ(ierr);
2940 
2941   if (!coloring->fset) {
2942     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2943     ierr = (*f)(sctx,x1,w1,fctx);CHKERRQ(ierr);
2944     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2945   } else {
2946     coloring->fset = PETSC_FALSE;
2947   }
2948 
2949   /*
2950       Compute all the scale factors and share with other processors
2951   */
2952   ierr = VecGetArray(x1,&xx);CHKERRQ(ierr);xx = xx - start;
2953   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);vscale_array = vscale_array - start;
2954   for (k=0; k<coloring->ncolors; k++) {
2955     /*
2956        Loop over each column associated with color adding the
2957        perturbation to the vector w3.
2958     */
2959     for (l=0; l<coloring->ncolumns[k]; l++) {
2960       col = coloring->columns[k][l];    /* column of the matrix we are probing for */
2961       dx  = xx[col];
2962       if (dx == 0.0) dx = 1.0;
2963       if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2964       else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2965       dx               *= epsilon;
2966       vscale_array[col] = 1.0/dx;
2967     }
2968   }
2969   vscale_array = vscale_array + start;
2970 
2971   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2972   ierr = VecGhostUpdateBegin(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2973   ierr = VecGhostUpdateEnd(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2974 
2975   /*  ierr = VecView(coloring->vscale,PETSC_VIEWER_STDOUT_WORLD);
2976       ierr = VecView(x1,PETSC_VIEWER_STDOUT_WORLD);*/
2977 
2978   if (coloring->vscaleforrow) vscaleforrow = coloring->vscaleforrow;
2979   else                        vscaleforrow = coloring->columnsforrow;
2980 
2981   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2982   /*
2983       Loop over each color
2984   */
2985   for (k=0; k<coloring->ncolors; k++) {
2986     coloring->currentcolor = k;
2987 
2988     ierr = VecCopy(x1,w3);CHKERRQ(ierr);
2989     ierr = VecGetArray(w3,&w3_array);CHKERRQ(ierr);w3_array = w3_array - start;
2990     /*
2991        Loop over each column associated with color adding the
2992        perturbation to the vector w3.
2993     */
2994     for (l=0; l<coloring->ncolumns[k]; l++) {
2995       col = coloring->columns[k][l];    /* column of the matrix we are probing for */
2996       dx  = xx[col];
2997       if (dx == 0.0) dx = 1.0;
2998       if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2999       else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
3000       dx *= epsilon;
3001       if (!PetscAbsScalar(dx)) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Computed 0 differencing parameter");
3002       w3_array[col] += dx;
3003     }
3004     w3_array = w3_array + start; ierr = VecRestoreArray(w3,&w3_array);CHKERRQ(ierr);
3005 
3006     /*
3007        Evaluate function at x1 + dx (here dx is a vector of perturbations)
3008     */
3009 
3010     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
3011     ierr = (*f)(sctx,w3,w2,fctx);CHKERRQ(ierr);
3012     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
3013     ierr = VecAXPY(w2,-1.0,w1);CHKERRQ(ierr);
3014 
3015     /*
3016        Loop over rows of vector, putting results into Jacobian matrix
3017     */
3018     ierr = VecGetArray(w2,&y);CHKERRQ(ierr);
3019     for (l=0; l<coloring->nrows[k]; l++) {
3020       row     = coloring->rows[k][l];
3021       col     = coloring->columnsforrow[k][l];
3022       y[row] *= vscale_array[vscaleforrow[k][l]];
3023       srow    = row + start;
3024       ierr    = MatSetValues_SeqAIJ(J,1,&srow,1,&col,y+row,INSERT_VALUES);CHKERRQ(ierr);
3025     }
3026     ierr = VecRestoreArray(w2,&y);CHKERRQ(ierr);
3027   }
3028   coloring->currentcolor = k;
3029 
3030   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
3031   xx   = xx + start;
3032   ierr = VecRestoreArray(x1,&xx);CHKERRQ(ierr);
3033   ierr = MatAssemblyBegin(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3034   ierr = MatAssemblyEnd(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3035   PetscFunctionReturn(0);
3036 }
3037 
3038 /*
3039    Computes the number of nonzeros per row needed for preallocation when X and Y
3040    have different nonzero structure.
3041 */
3042 #undef __FUNCT__
3043 #define __FUNCT__ "MatAXPYGetPreallocation_SeqAIJ"
3044 PetscErrorCode MatAXPYGetPreallocation_SeqAIJ(Mat Y,Mat X,PetscInt *nnz)
3045 {
3046   PetscInt       i,m=Y->rmap->N;
3047   Mat_SeqAIJ     *x  = (Mat_SeqAIJ*)X->data;
3048   Mat_SeqAIJ     *y  = (Mat_SeqAIJ*)Y->data;
3049   const PetscInt *xi = x->i,*yi = y->i;
3050 
3051   PetscFunctionBegin;
3052   /* Set the number of nonzeros in the new matrix */
3053   for (i=0; i<m; i++) {
3054     PetscInt       j,k,nzx = xi[i+1] - xi[i],nzy = yi[i+1] - yi[i];
3055     const PetscInt *xj = x->j+xi[i],*yj = y->j+yi[i];
3056     nnz[i] = 0;
3057     for (j=0,k=0; j<nzx; j++) {                   /* Point in X */
3058       for (; k<nzy && yj[k]<xj[j]; k++) nnz[i]++; /* Catch up to X */
3059       if (k<nzy && yj[k]==xj[j]) k++;             /* Skip duplicate */
3060       nnz[i]++;
3061     }
3062     for (; k<nzy; k++) nnz[i]++;
3063   }
3064   PetscFunctionReturn(0);
3065 }
3066 
3067 #undef __FUNCT__
3068 #define __FUNCT__ "MatAXPY_SeqAIJ"
3069 PetscErrorCode MatAXPY_SeqAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
3070 {
3071   PetscErrorCode ierr;
3072   PetscInt       i;
3073   Mat_SeqAIJ     *x = (Mat_SeqAIJ*)X->data,*y = (Mat_SeqAIJ*)Y->data;
3074   PetscBLASInt   one=1,bnz;
3075 
3076   PetscFunctionBegin;
3077   ierr = PetscBLASIntCast(x->nz,&bnz);CHKERRQ(ierr);
3078   if (str == SAME_NONZERO_PATTERN) {
3079     PetscScalar alpha = a;
3080     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
3081     ierr = MatSeqAIJInvalidateDiagonal(Y);CHKERRQ(ierr);
3082   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
3083     if (y->xtoy && y->XtoY != X) {
3084       ierr = PetscFree(y->xtoy);CHKERRQ(ierr);
3085       ierr = MatDestroy(&y->XtoY);CHKERRQ(ierr);
3086     }
3087     if (!y->xtoy) { /* get xtoy */
3088       ierr    = MatAXPYGetxtoy_Private(X->rmap->n,x->i,x->j,NULL, y->i,y->j,NULL, &y->xtoy);CHKERRQ(ierr);
3089       y->XtoY = X;
3090       ierr    = PetscObjectReference((PetscObject)X);CHKERRQ(ierr);
3091     }
3092     for (i=0; i<x->nz; i++) y->a[y->xtoy[i]] += a*(x->a[i]);
3093     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);
3094   } else {
3095     Mat      B;
3096     PetscInt *nnz;
3097     ierr = PetscMalloc(Y->rmap->N*sizeof(PetscInt),&nnz);CHKERRQ(ierr);
3098     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
3099     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
3100     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
3101     ierr = MatSetBlockSizes(B,Y->rmap->bs,Y->cmap->bs);CHKERRQ(ierr);
3102     ierr = MatSetType(B,(MatType) ((PetscObject)Y)->type_name);CHKERRQ(ierr);
3103     ierr = MatAXPYGetPreallocation_SeqAIJ(Y,X,nnz);CHKERRQ(ierr);
3104     ierr = MatSeqAIJSetPreallocation(B,0,nnz);CHKERRQ(ierr);
3105     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
3106     ierr = MatHeaderReplace(Y,B);CHKERRQ(ierr);
3107     ierr = PetscFree(nnz);CHKERRQ(ierr);
3108   }
3109   PetscFunctionReturn(0);
3110 }
3111 
3112 #undef __FUNCT__
3113 #define __FUNCT__ "MatConjugate_SeqAIJ"
3114 PetscErrorCode  MatConjugate_SeqAIJ(Mat mat)
3115 {
3116 #if defined(PETSC_USE_COMPLEX)
3117   Mat_SeqAIJ  *aij = (Mat_SeqAIJ*)mat->data;
3118   PetscInt    i,nz;
3119   PetscScalar *a;
3120 
3121   PetscFunctionBegin;
3122   nz = aij->nz;
3123   a  = aij->a;
3124   for (i=0; i<nz; i++) a[i] = PetscConj(a[i]);
3125 #else
3126   PetscFunctionBegin;
3127 #endif
3128   PetscFunctionReturn(0);
3129 }
3130 
3131 #undef __FUNCT__
3132 #define __FUNCT__ "MatGetRowMaxAbs_SeqAIJ"
3133 PetscErrorCode MatGetRowMaxAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
3134 {
3135   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3136   PetscErrorCode ierr;
3137   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
3138   PetscReal      atmp;
3139   PetscScalar    *x;
3140   MatScalar      *aa;
3141 
3142   PetscFunctionBegin;
3143   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3144   aa = a->a;
3145   ai = a->i;
3146   aj = a->j;
3147 
3148   ierr = VecSet(v,0.0);CHKERRQ(ierr);
3149   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
3150   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
3151   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
3152   for (i=0; i<m; i++) {
3153     ncols = ai[1] - ai[0]; ai++;
3154     x[i]  = 0.0;
3155     for (j=0; j<ncols; j++) {
3156       atmp = PetscAbsScalar(*aa);
3157       if (PetscAbsScalar(x[i]) < atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
3158       aa++; aj++;
3159     }
3160   }
3161   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
3162   PetscFunctionReturn(0);
3163 }
3164 
3165 #undef __FUNCT__
3166 #define __FUNCT__ "MatGetRowMax_SeqAIJ"
3167 PetscErrorCode MatGetRowMax_SeqAIJ(Mat A,Vec v,PetscInt idx[])
3168 {
3169   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3170   PetscErrorCode ierr;
3171   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
3172   PetscScalar    *x;
3173   MatScalar      *aa;
3174 
3175   PetscFunctionBegin;
3176   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3177   aa = a->a;
3178   ai = a->i;
3179   aj = a->j;
3180 
3181   ierr = VecSet(v,0.0);CHKERRQ(ierr);
3182   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
3183   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
3184   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
3185   for (i=0; i<m; i++) {
3186     ncols = ai[1] - ai[0]; ai++;
3187     if (ncols == A->cmap->n) { /* row is dense */
3188       x[i] = *aa; if (idx) idx[i] = 0;
3189     } else {  /* row is sparse so already KNOW maximum is 0.0 or higher */
3190       x[i] = 0.0;
3191       if (idx) {
3192         idx[i] = 0; /* in case ncols is zero */
3193         for (j=0;j<ncols;j++) { /* find first implicit 0.0 in the row */
3194           if (aj[j] > j) {
3195             idx[i] = j;
3196             break;
3197           }
3198         }
3199       }
3200     }
3201     for (j=0; j<ncols; j++) {
3202       if (PetscRealPart(x[i]) < PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
3203       aa++; aj++;
3204     }
3205   }
3206   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
3207   PetscFunctionReturn(0);
3208 }
3209 
3210 #undef __FUNCT__
3211 #define __FUNCT__ "MatGetRowMinAbs_SeqAIJ"
3212 PetscErrorCode MatGetRowMinAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
3213 {
3214   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3215   PetscErrorCode ierr;
3216   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
3217   PetscReal      atmp;
3218   PetscScalar    *x;
3219   MatScalar      *aa;
3220 
3221   PetscFunctionBegin;
3222   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3223   aa = a->a;
3224   ai = a->i;
3225   aj = a->j;
3226 
3227   ierr = VecSet(v,0.0);CHKERRQ(ierr);
3228   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
3229   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
3230   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);
3231   for (i=0; i<m; i++) {
3232     ncols = ai[1] - ai[0]; ai++;
3233     if (ncols) {
3234       /* Get first nonzero */
3235       for (j = 0; j < ncols; j++) {
3236         atmp = PetscAbsScalar(aa[j]);
3237         if (atmp > 1.0e-12) {
3238           x[i] = atmp;
3239           if (idx) idx[i] = aj[j];
3240           break;
3241         }
3242       }
3243       if (j == ncols) {x[i] = PetscAbsScalar(*aa); if (idx) idx[i] = *aj;}
3244     } else {
3245       x[i] = 0.0; if (idx) idx[i] = 0;
3246     }
3247     for (j = 0; j < ncols; j++) {
3248       atmp = PetscAbsScalar(*aa);
3249       if (atmp > 1.0e-12 && PetscAbsScalar(x[i]) > atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
3250       aa++; aj++;
3251     }
3252   }
3253   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
3254   PetscFunctionReturn(0);
3255 }
3256 
3257 #undef __FUNCT__
3258 #define __FUNCT__ "MatGetRowMin_SeqAIJ"
3259 PetscErrorCode MatGetRowMin_SeqAIJ(Mat A,Vec v,PetscInt idx[])
3260 {
3261   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3262   PetscErrorCode ierr;
3263   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
3264   PetscScalar    *x;
3265   MatScalar      *aa;
3266 
3267   PetscFunctionBegin;
3268   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3269   aa = a->a;
3270   ai = a->i;
3271   aj = a->j;
3272 
3273   ierr = VecSet(v,0.0);CHKERRQ(ierr);
3274   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
3275   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
3276   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
3277   for (i=0; i<m; i++) {
3278     ncols = ai[1] - ai[0]; ai++;
3279     if (ncols == A->cmap->n) { /* row is dense */
3280       x[i] = *aa; if (idx) idx[i] = 0;
3281     } else {  /* row is sparse so already KNOW minimum is 0.0 or lower */
3282       x[i] = 0.0;
3283       if (idx) {   /* find first implicit 0.0 in the row */
3284         idx[i] = 0; /* in case ncols is zero */
3285         for (j=0; j<ncols; j++) {
3286           if (aj[j] > j) {
3287             idx[i] = j;
3288             break;
3289           }
3290         }
3291       }
3292     }
3293     for (j=0; j<ncols; j++) {
3294       if (PetscRealPart(x[i]) > PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
3295       aa++; aj++;
3296     }
3297   }
3298   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
3299   PetscFunctionReturn(0);
3300 }
3301 
3302 #include <petscblaslapack.h>
3303 #include <petsc-private/kernels/blockinvert.h>
3304 
3305 #undef __FUNCT__
3306 #define __FUNCT__ "MatInvertBlockDiagonal_SeqAIJ"
3307 PetscErrorCode  MatInvertBlockDiagonal_SeqAIJ(Mat A,const PetscScalar **values)
3308 {
3309   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
3310   PetscErrorCode ierr;
3311   PetscInt       i,bs = A->rmap->bs,mbs = A->rmap->n/A->rmap->bs,ipvt[5],bs2 = bs*bs,*v_pivots,ij[7],*IJ,j;
3312   MatScalar      *diag,work[25],*v_work;
3313   PetscReal      shift = 0.0;
3314 
3315   PetscFunctionBegin;
3316   if (a->ibdiagvalid) {
3317     if (values) *values = a->ibdiag;
3318     PetscFunctionReturn(0);
3319   }
3320   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
3321   if (!a->ibdiag) {
3322     ierr = PetscMalloc(bs2*mbs*sizeof(PetscScalar),&a->ibdiag);CHKERRQ(ierr);
3323     ierr = PetscLogObjectMemory((PetscObject)A,bs2*mbs*sizeof(PetscScalar));CHKERRQ(ierr);
3324   }
3325   diag = a->ibdiag;
3326   if (values) *values = a->ibdiag;
3327   /* factor and invert each block */
3328   switch (bs) {
3329   case 1:
3330     for (i=0; i<mbs; i++) {
3331       ierr    = MatGetValues(A,1,&i,1,&i,diag+i);CHKERRQ(ierr);
3332       diag[i] = (PetscScalar)1.0 / (diag[i] + shift);
3333     }
3334     break;
3335   case 2:
3336     for (i=0; i<mbs; i++) {
3337       ij[0] = 2*i; ij[1] = 2*i + 1;
3338       ierr  = MatGetValues(A,2,ij,2,ij,diag);CHKERRQ(ierr);
3339       ierr  = PetscKernel_A_gets_inverse_A_2(diag,shift);CHKERRQ(ierr);
3340       ierr  = PetscKernel_A_gets_transpose_A_2(diag);CHKERRQ(ierr);
3341       diag += 4;
3342     }
3343     break;
3344   case 3:
3345     for (i=0; i<mbs; i++) {
3346       ij[0] = 3*i; ij[1] = 3*i + 1; ij[2] = 3*i + 2;
3347       ierr  = MatGetValues(A,3,ij,3,ij,diag);CHKERRQ(ierr);
3348       ierr  = PetscKernel_A_gets_inverse_A_3(diag,shift);CHKERRQ(ierr);
3349       ierr  = PetscKernel_A_gets_transpose_A_3(diag);CHKERRQ(ierr);
3350       diag += 9;
3351     }
3352     break;
3353   case 4:
3354     for (i=0; i<mbs; i++) {
3355       ij[0] = 4*i; ij[1] = 4*i + 1; ij[2] = 4*i + 2; ij[3] = 4*i + 3;
3356       ierr  = MatGetValues(A,4,ij,4,ij,diag);CHKERRQ(ierr);
3357       ierr  = PetscKernel_A_gets_inverse_A_4(diag,shift);CHKERRQ(ierr);
3358       ierr  = PetscKernel_A_gets_transpose_A_4(diag);CHKERRQ(ierr);
3359       diag += 16;
3360     }
3361     break;
3362   case 5:
3363     for (i=0; i<mbs; i++) {
3364       ij[0] = 5*i; ij[1] = 5*i + 1; ij[2] = 5*i + 2; ij[3] = 5*i + 3; ij[4] = 5*i + 4;
3365       ierr  = MatGetValues(A,5,ij,5,ij,diag);CHKERRQ(ierr);
3366       ierr  = PetscKernel_A_gets_inverse_A_5(diag,ipvt,work,shift);CHKERRQ(ierr);
3367       ierr  = PetscKernel_A_gets_transpose_A_5(diag);CHKERRQ(ierr);
3368       diag += 25;
3369     }
3370     break;
3371   case 6:
3372     for (i=0; i<mbs; i++) {
3373       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;
3374       ierr  = MatGetValues(A,6,ij,6,ij,diag);CHKERRQ(ierr);
3375       ierr  = PetscKernel_A_gets_inverse_A_6(diag,shift);CHKERRQ(ierr);
3376       ierr  = PetscKernel_A_gets_transpose_A_6(diag);CHKERRQ(ierr);
3377       diag += 36;
3378     }
3379     break;
3380   case 7:
3381     for (i=0; i<mbs; i++) {
3382       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;
3383       ierr  = MatGetValues(A,7,ij,7,ij,diag);CHKERRQ(ierr);
3384       ierr  = PetscKernel_A_gets_inverse_A_7(diag,shift);CHKERRQ(ierr);
3385       ierr  = PetscKernel_A_gets_transpose_A_7(diag);CHKERRQ(ierr);
3386       diag += 49;
3387     }
3388     break;
3389   default:
3390     ierr = PetscMalloc3(bs,MatScalar,&v_work,bs,PetscInt,&v_pivots,bs,PetscInt,&IJ);CHKERRQ(ierr);
3391     for (i=0; i<mbs; i++) {
3392       for (j=0; j<bs; j++) {
3393         IJ[j] = bs*i + j;
3394       }
3395       ierr  = MatGetValues(A,bs,IJ,bs,IJ,diag);CHKERRQ(ierr);
3396       ierr  = PetscKernel_A_gets_inverse_A(bs,diag,v_pivots,v_work);CHKERRQ(ierr);
3397       ierr  = PetscKernel_A_gets_transpose_A_N(diag,bs);CHKERRQ(ierr);
3398       diag += bs2;
3399     }
3400     ierr = PetscFree3(v_work,v_pivots,IJ);CHKERRQ(ierr);
3401   }
3402   a->ibdiagvalid = PETSC_TRUE;
3403   PetscFunctionReturn(0);
3404 }
3405 
3406 #undef __FUNCT__
3407 #define __FUNCT__ "MatSetRandom_SeqAIJ"
3408 static PetscErrorCode  MatSetRandom_SeqAIJ(Mat x,PetscRandom rctx)
3409 {
3410   PetscErrorCode ierr;
3411   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)x->data;
3412   PetscScalar    a;
3413   PetscInt       m,n,i,j,col;
3414 
3415   PetscFunctionBegin;
3416   if (!x->assembled) {
3417     ierr = MatGetSize(x,&m,&n);CHKERRQ(ierr);
3418     for (i=0; i<m; i++) {
3419       for (j=0; j<aij->imax[i]; j++) {
3420         ierr = PetscRandomGetValue(rctx,&a);CHKERRQ(ierr);
3421         col  = (PetscInt)(n*PetscRealPart(a));
3422         ierr = MatSetValues(x,1,&i,1,&col,&a,ADD_VALUES);CHKERRQ(ierr);
3423       }
3424     }
3425   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet coded");
3426   ierr = MatAssemblyBegin(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3427   ierr = MatAssemblyEnd(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3428   PetscFunctionReturn(0);
3429 }
3430 
3431 extern PetscErrorCode  MatFDColoringApply_AIJ(Mat,MatFDColoring,Vec,MatStructure*,void*);
3432 /* -------------------------------------------------------------------*/
3433 static struct _MatOps MatOps_Values = { MatSetValues_SeqAIJ,
3434                                         MatGetRow_SeqAIJ,
3435                                         MatRestoreRow_SeqAIJ,
3436                                         MatMult_SeqAIJ,
3437                                 /*  4*/ MatMultAdd_SeqAIJ,
3438                                         MatMultTranspose_SeqAIJ,
3439                                         MatMultTransposeAdd_SeqAIJ,
3440                                         0,
3441                                         0,
3442                                         0,
3443                                 /* 10*/ 0,
3444                                         MatLUFactor_SeqAIJ,
3445                                         0,
3446                                         MatSOR_SeqAIJ,
3447                                         MatTranspose_SeqAIJ,
3448                                 /*1 5*/ MatGetInfo_SeqAIJ,
3449                                         MatEqual_SeqAIJ,
3450                                         MatGetDiagonal_SeqAIJ,
3451                                         MatDiagonalScale_SeqAIJ,
3452                                         MatNorm_SeqAIJ,
3453                                 /* 20*/ 0,
3454                                         MatAssemblyEnd_SeqAIJ,
3455                                         MatSetOption_SeqAIJ,
3456                                         MatZeroEntries_SeqAIJ,
3457                                 /* 24*/ MatZeroRows_SeqAIJ,
3458                                         0,
3459                                         0,
3460                                         0,
3461                                         0,
3462                                 /* 29*/ MatSetUp_SeqAIJ,
3463                                         0,
3464                                         0,
3465                                         0,
3466                                         0,
3467                                 /* 34*/ MatDuplicate_SeqAIJ,
3468                                         0,
3469                                         0,
3470                                         MatILUFactor_SeqAIJ,
3471                                         0,
3472                                 /* 39*/ MatAXPY_SeqAIJ,
3473                                         MatGetSubMatrices_SeqAIJ,
3474                                         MatIncreaseOverlap_SeqAIJ,
3475                                         MatGetValues_SeqAIJ,
3476                                         MatCopy_SeqAIJ,
3477                                 /* 44*/ MatGetRowMax_SeqAIJ,
3478                                         MatScale_SeqAIJ,
3479                                         0,
3480                                         MatDiagonalSet_SeqAIJ,
3481                                         MatZeroRowsColumns_SeqAIJ,
3482                                 /* 49*/ MatSetRandom_SeqAIJ,
3483                                         MatGetRowIJ_SeqAIJ,
3484                                         MatRestoreRowIJ_SeqAIJ,
3485                                         MatGetColumnIJ_SeqAIJ,
3486                                         MatRestoreColumnIJ_SeqAIJ,
3487                                 /* 54*/ MatFDColoringCreate_SeqAIJ,
3488                                         0,
3489                                         0,
3490                                         MatPermute_SeqAIJ,
3491                                         0,
3492                                 /* 59*/ 0,
3493                                         MatDestroy_SeqAIJ,
3494                                         MatView_SeqAIJ,
3495                                         0,
3496                                         MatMatMatMult_SeqAIJ_SeqAIJ_SeqAIJ,
3497                                 /* 64*/ MatMatMatMultSymbolic_SeqAIJ_SeqAIJ_SeqAIJ,
3498                                         MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqAIJ,
3499                                         0,
3500                                         0,
3501                                         0,
3502                                 /* 69*/ MatGetRowMaxAbs_SeqAIJ,
3503                                         MatGetRowMinAbs_SeqAIJ,
3504                                         0,
3505                                         MatSetColoring_SeqAIJ,
3506                                         0,
3507                                 /* 74*/ MatSetValuesAdifor_SeqAIJ,
3508                                         MatFDColoringApply_AIJ,
3509                                         0,
3510                                         0,
3511                                         0,
3512                                 /* 79*/ MatFindZeroDiagonals_SeqAIJ,
3513                                         0,
3514                                         0,
3515                                         0,
3516                                         MatLoad_SeqAIJ,
3517                                 /* 84*/ MatIsSymmetric_SeqAIJ,
3518                                         MatIsHermitian_SeqAIJ,
3519                                         0,
3520                                         0,
3521                                         0,
3522                                 /* 89*/ MatMatMult_SeqAIJ_SeqAIJ,
3523                                         MatMatMultSymbolic_SeqAIJ_SeqAIJ,
3524                                         MatMatMultNumeric_SeqAIJ_SeqAIJ,
3525                                         MatPtAP_SeqAIJ_SeqAIJ,
3526                                         MatPtAPSymbolic_SeqAIJ_SeqAIJ_DenseAxpy,
3527                                 /* 94*/ MatPtAPNumeric_SeqAIJ_SeqAIJ,
3528                                         MatMatTransposeMult_SeqAIJ_SeqAIJ,
3529                                         MatMatTransposeMultSymbolic_SeqAIJ_SeqAIJ,
3530                                         MatMatTransposeMultNumeric_SeqAIJ_SeqAIJ,
3531                                         0,
3532                                 /* 99*/ 0,
3533                                         0,
3534                                         0,
3535                                         MatConjugate_SeqAIJ,
3536                                         0,
3537                                 /*104*/ MatSetValuesRow_SeqAIJ,
3538                                         MatRealPart_SeqAIJ,
3539                                         MatImaginaryPart_SeqAIJ,
3540                                         0,
3541                                         0,
3542                                 /*109*/ MatMatSolve_SeqAIJ,
3543                                         0,
3544                                         MatGetRowMin_SeqAIJ,
3545                                         0,
3546                                         MatMissingDiagonal_SeqAIJ,
3547                                 /*114*/ 0,
3548                                         0,
3549                                         0,
3550                                         0,
3551                                         0,
3552                                 /*119*/ 0,
3553                                         0,
3554                                         0,
3555                                         0,
3556                                         MatGetMultiProcBlock_SeqAIJ,
3557                                 /*124*/ MatFindNonzeroRows_SeqAIJ,
3558                                         MatGetColumnNorms_SeqAIJ,
3559                                         MatInvertBlockDiagonal_SeqAIJ,
3560                                         0,
3561                                         0,
3562                                 /*129*/ 0,
3563                                         MatTransposeMatMult_SeqAIJ_SeqAIJ,
3564                                         MatTransposeMatMultSymbolic_SeqAIJ_SeqAIJ,
3565                                         MatTransposeMatMultNumeric_SeqAIJ_SeqAIJ,
3566                                         MatTransposeColoringCreate_SeqAIJ,
3567                                 /*134*/ MatTransColoringApplySpToDen_SeqAIJ,
3568                                         MatTransColoringApplyDenToSp_SeqAIJ,
3569                                         MatRARt_SeqAIJ_SeqAIJ,
3570                                         MatRARtSymbolic_SeqAIJ_SeqAIJ,
3571                                         MatRARtNumeric_SeqAIJ_SeqAIJ,
3572                                  /*139*/0,
3573                                         0
3574 };
3575 
3576 #undef __FUNCT__
3577 #define __FUNCT__ "MatSeqAIJSetColumnIndices_SeqAIJ"
3578 PetscErrorCode  MatSeqAIJSetColumnIndices_SeqAIJ(Mat mat,PetscInt *indices)
3579 {
3580   Mat_SeqAIJ *aij = (Mat_SeqAIJ*)mat->data;
3581   PetscInt   i,nz,n;
3582 
3583   PetscFunctionBegin;
3584   nz = aij->maxnz;
3585   n  = mat->rmap->n;
3586   for (i=0; i<nz; i++) {
3587     aij->j[i] = indices[i];
3588   }
3589   aij->nz = nz;
3590   for (i=0; i<n; i++) {
3591     aij->ilen[i] = aij->imax[i];
3592   }
3593   PetscFunctionReturn(0);
3594 }
3595 
3596 #undef __FUNCT__
3597 #define __FUNCT__ "MatSeqAIJSetColumnIndices"
3598 /*@
3599     MatSeqAIJSetColumnIndices - Set the column indices for all the rows
3600        in the matrix.
3601 
3602   Input Parameters:
3603 +  mat - the SeqAIJ matrix
3604 -  indices - the column indices
3605 
3606   Level: advanced
3607 
3608   Notes:
3609     This can be called if you have precomputed the nonzero structure of the
3610   matrix and want to provide it to the matrix object to improve the performance
3611   of the MatSetValues() operation.
3612 
3613     You MUST have set the correct numbers of nonzeros per row in the call to
3614   MatCreateSeqAIJ(), and the columns indices MUST be sorted.
3615 
3616     MUST be called before any calls to MatSetValues();
3617 
3618     The indices should start with zero, not one.
3619 
3620 @*/
3621 PetscErrorCode  MatSeqAIJSetColumnIndices(Mat mat,PetscInt *indices)
3622 {
3623   PetscErrorCode ierr;
3624 
3625   PetscFunctionBegin;
3626   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3627   PetscValidPointer(indices,2);
3628   ierr = PetscUseMethod(mat,"MatSeqAIJSetColumnIndices_C",(Mat,PetscInt*),(mat,indices));CHKERRQ(ierr);
3629   PetscFunctionReturn(0);
3630 }
3631 
3632 /* ----------------------------------------------------------------------------------------*/
3633 
3634 #undef __FUNCT__
3635 #define __FUNCT__ "MatStoreValues_SeqAIJ"
3636 PetscErrorCode  MatStoreValues_SeqAIJ(Mat mat)
3637 {
3638   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3639   PetscErrorCode ierr;
3640   size_t         nz = aij->i[mat->rmap->n];
3641 
3642   PetscFunctionBegin;
3643   if (aij->nonew != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3644 
3645   /* allocate space for values if not already there */
3646   if (!aij->saved_values) {
3647     ierr = PetscMalloc((nz+1)*sizeof(PetscScalar),&aij->saved_values);CHKERRQ(ierr);
3648     ierr = PetscLogObjectMemory((PetscObject)mat,(nz+1)*sizeof(PetscScalar));CHKERRQ(ierr);
3649   }
3650 
3651   /* copy values over */
3652   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3653   PetscFunctionReturn(0);
3654 }
3655 
3656 #undef __FUNCT__
3657 #define __FUNCT__ "MatStoreValues"
3658 /*@
3659     MatStoreValues - Stashes a copy of the matrix values; this allows, for
3660        example, reuse of the linear part of a Jacobian, while recomputing the
3661        nonlinear portion.
3662 
3663    Collect on Mat
3664 
3665   Input Parameters:
3666 .  mat - the matrix (currently only AIJ matrices support this option)
3667 
3668   Level: advanced
3669 
3670   Common Usage, with SNESSolve():
3671 $    Create Jacobian matrix
3672 $    Set linear terms into matrix
3673 $    Apply boundary conditions to matrix, at this time matrix must have
3674 $      final nonzero structure (i.e. setting the nonlinear terms and applying
3675 $      boundary conditions again will not change the nonzero structure
3676 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3677 $    ierr = MatStoreValues(mat);
3678 $    Call SNESSetJacobian() with matrix
3679 $    In your Jacobian routine
3680 $      ierr = MatRetrieveValues(mat);
3681 $      Set nonlinear terms in matrix
3682 
3683   Common Usage without SNESSolve(), i.e. when you handle nonlinear solve yourself:
3684 $    // build linear portion of Jacobian
3685 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3686 $    ierr = MatStoreValues(mat);
3687 $    loop over nonlinear iterations
3688 $       ierr = MatRetrieveValues(mat);
3689 $       // call MatSetValues(mat,...) to set nonliner portion of Jacobian
3690 $       // call MatAssemblyBegin/End() on matrix
3691 $       Solve linear system with Jacobian
3692 $    endloop
3693 
3694   Notes:
3695     Matrix must already be assemblied before calling this routine
3696     Must set the matrix option MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE); before
3697     calling this routine.
3698 
3699     When this is called multiple times it overwrites the previous set of stored values
3700     and does not allocated additional space.
3701 
3702 .seealso: MatRetrieveValues()
3703 
3704 @*/
3705 PetscErrorCode  MatStoreValues(Mat mat)
3706 {
3707   PetscErrorCode ierr;
3708 
3709   PetscFunctionBegin;
3710   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3711   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3712   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3713   ierr = PetscUseMethod(mat,"MatStoreValues_C",(Mat),(mat));CHKERRQ(ierr);
3714   PetscFunctionReturn(0);
3715 }
3716 
3717 #undef __FUNCT__
3718 #define __FUNCT__ "MatRetrieveValues_SeqAIJ"
3719 PetscErrorCode  MatRetrieveValues_SeqAIJ(Mat mat)
3720 {
3721   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3722   PetscErrorCode ierr;
3723   PetscInt       nz = aij->i[mat->rmap->n];
3724 
3725   PetscFunctionBegin;
3726   if (aij->nonew != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3727   if (!aij->saved_values) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
3728   /* copy values over */
3729   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3730   PetscFunctionReturn(0);
3731 }
3732 
3733 #undef __FUNCT__
3734 #define __FUNCT__ "MatRetrieveValues"
3735 /*@
3736     MatRetrieveValues - Retrieves the copy of the matrix values; this allows, for
3737        example, reuse of the linear part of a Jacobian, while recomputing the
3738        nonlinear portion.
3739 
3740    Collect on Mat
3741 
3742   Input Parameters:
3743 .  mat - the matrix (currently on AIJ matrices support this option)
3744 
3745   Level: advanced
3746 
3747 .seealso: MatStoreValues()
3748 
3749 @*/
3750 PetscErrorCode  MatRetrieveValues(Mat mat)
3751 {
3752   PetscErrorCode ierr;
3753 
3754   PetscFunctionBegin;
3755   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3756   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3757   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3758   ierr = PetscUseMethod(mat,"MatRetrieveValues_C",(Mat),(mat));CHKERRQ(ierr);
3759   PetscFunctionReturn(0);
3760 }
3761 
3762 
3763 /* --------------------------------------------------------------------------------*/
3764 #undef __FUNCT__
3765 #define __FUNCT__ "MatCreateSeqAIJ"
3766 /*@C
3767    MatCreateSeqAIJ - Creates a sparse matrix in AIJ (compressed row) format
3768    (the default parallel PETSc format).  For good matrix assembly performance
3769    the user should preallocate the matrix storage by setting the parameter nz
3770    (or the array nnz).  By setting these parameters accurately, performance
3771    during matrix assembly can be increased by more than a factor of 50.
3772 
3773    Collective on MPI_Comm
3774 
3775    Input Parameters:
3776 +  comm - MPI communicator, set to PETSC_COMM_SELF
3777 .  m - number of rows
3778 .  n - number of columns
3779 .  nz - number of nonzeros per row (same for all rows)
3780 -  nnz - array containing the number of nonzeros in the various rows
3781          (possibly different for each row) or NULL
3782 
3783    Output Parameter:
3784 .  A - the matrix
3785 
3786    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3787    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3788    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3789 
3790    Notes:
3791    If nnz is given then nz is ignored
3792 
3793    The AIJ format (also called the Yale sparse matrix format or
3794    compressed row storage), is fully compatible with standard Fortran 77
3795    storage.  That is, the stored row and column indices can begin at
3796    either one (as in Fortran) or zero.  See the users' manual for details.
3797 
3798    Specify the preallocated storage with either nz or nnz (not both).
3799    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3800    allocation.  For large problems you MUST preallocate memory or you
3801    will get TERRIBLE performance, see the users' manual chapter on matrices.
3802 
3803    By default, this format uses inodes (identical nodes) when possible, to
3804    improve numerical efficiency of matrix-vector products and solves. We
3805    search for consecutive rows with the same nonzero structure, thereby
3806    reusing matrix information to achieve increased efficiency.
3807 
3808    Options Database Keys:
3809 +  -mat_no_inode  - Do not use inodes
3810 -  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3811 
3812    Level: intermediate
3813 
3814 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays()
3815 
3816 @*/
3817 PetscErrorCode  MatCreateSeqAIJ(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
3818 {
3819   PetscErrorCode ierr;
3820 
3821   PetscFunctionBegin;
3822   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3823   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
3824   ierr = MatSetType(*A,MATSEQAIJ);CHKERRQ(ierr);
3825   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*A,nz,nnz);CHKERRQ(ierr);
3826   PetscFunctionReturn(0);
3827 }
3828 
3829 #undef __FUNCT__
3830 #define __FUNCT__ "MatSeqAIJSetPreallocation"
3831 /*@C
3832    MatSeqAIJSetPreallocation - For good matrix assembly performance
3833    the user should preallocate the matrix storage by setting the parameter nz
3834    (or the array nnz).  By setting these parameters accurately, performance
3835    during matrix assembly can be increased by more than a factor of 50.
3836 
3837    Collective on MPI_Comm
3838 
3839    Input Parameters:
3840 +  B - The matrix-free
3841 .  nz - number of nonzeros per row (same for all rows)
3842 -  nnz - array containing the number of nonzeros in the various rows
3843          (possibly different for each row) or NULL
3844 
3845    Notes:
3846      If nnz is given then nz is ignored
3847 
3848     The AIJ format (also called the Yale sparse matrix format or
3849    compressed row storage), is fully compatible with standard Fortran 77
3850    storage.  That is, the stored row and column indices can begin at
3851    either one (as in Fortran) or zero.  See the users' manual for details.
3852 
3853    Specify the preallocated storage with either nz or nnz (not both).
3854    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3855    allocation.  For large problems you MUST preallocate memory or you
3856    will get TERRIBLE performance, see the users' manual chapter on matrices.
3857 
3858    You can call MatGetInfo() to get information on how effective the preallocation was;
3859    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3860    You can also run with the option -info and look for messages with the string
3861    malloc in them to see if additional memory allocation was needed.
3862 
3863    Developers: Use nz of MAT_SKIP_ALLOCATION to not allocate any space for the matrix
3864    entries or columns indices
3865 
3866    By default, this format uses inodes (identical nodes) when possible, to
3867    improve numerical efficiency of matrix-vector products and solves. We
3868    search for consecutive rows with the same nonzero structure, thereby
3869    reusing matrix information to achieve increased efficiency.
3870 
3871    Options Database Keys:
3872 +  -mat_no_inode  - Do not use inodes
3873 .  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3874 -  -mat_aij_oneindex - Internally use indexing starting at 1
3875         rather than 0.  Note that when calling MatSetValues(),
3876         the user still MUST index entries starting at 0!
3877 
3878    Level: intermediate
3879 
3880 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays(), MatGetInfo()
3881 
3882 @*/
3883 PetscErrorCode  MatSeqAIJSetPreallocation(Mat B,PetscInt nz,const PetscInt nnz[])
3884 {
3885   PetscErrorCode ierr;
3886 
3887   PetscFunctionBegin;
3888   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3889   PetscValidType(B,1);
3890   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocation_C",(Mat,PetscInt,const PetscInt[]),(B,nz,nnz));CHKERRQ(ierr);
3891   PetscFunctionReturn(0);
3892 }
3893 
3894 #undef __FUNCT__
3895 #define __FUNCT__ "MatSeqAIJSetPreallocation_SeqAIJ"
3896 PetscErrorCode  MatSeqAIJSetPreallocation_SeqAIJ(Mat B,PetscInt nz,const PetscInt *nnz)
3897 {
3898   Mat_SeqAIJ     *b;
3899   PetscBool      skipallocation = PETSC_FALSE,realalloc = PETSC_FALSE;
3900   PetscErrorCode ierr;
3901   PetscInt       i;
3902 
3903   PetscFunctionBegin;
3904   if (nz >= 0 || nnz) realalloc = PETSC_TRUE;
3905   if (nz == MAT_SKIP_ALLOCATION) {
3906     skipallocation = PETSC_TRUE;
3907     nz             = 0;
3908   }
3909 
3910   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3911   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3912 
3913   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
3914   if (nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %d",nz);
3915   if (nnz) {
3916     for (i=0; i<B->rmap->n; i++) {
3917       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]);
3918       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);
3919     }
3920   }
3921 
3922   B->preallocated = PETSC_TRUE;
3923 
3924   b = (Mat_SeqAIJ*)B->data;
3925 
3926   if (!skipallocation) {
3927     if (!b->imax) {
3928       ierr = PetscMalloc2(B->rmap->n,PetscInt,&b->imax,B->rmap->n,PetscInt,&b->ilen);CHKERRQ(ierr);
3929       ierr = PetscLogObjectMemory((PetscObject)B,2*B->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
3930     }
3931     if (!nnz) {
3932       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 10;
3933       else if (nz < 0) nz = 1;
3934       for (i=0; i<B->rmap->n; i++) b->imax[i] = nz;
3935       nz = nz*B->rmap->n;
3936     } else {
3937       nz = 0;
3938       for (i=0; i<B->rmap->n; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
3939     }
3940     /* b->ilen will count nonzeros in each row so far. */
3941     for (i=0; i<B->rmap->n; i++) b->ilen[i] = 0;
3942 
3943     /* allocate the matrix space */
3944     ierr    = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
3945     ierr    = PetscMalloc3(nz,PetscScalar,&b->a,nz,PetscInt,&b->j,B->rmap->n+1,PetscInt,&b->i);CHKERRQ(ierr);
3946     ierr    = PetscLogObjectMemory((PetscObject)B,(B->rmap->n+1)*sizeof(PetscInt)+nz*(sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
3947     b->i[0] = 0;
3948     for (i=1; i<B->rmap->n+1; i++) {
3949       b->i[i] = b->i[i-1] + b->imax[i-1];
3950     }
3951     b->singlemalloc = PETSC_TRUE;
3952     b->free_a       = PETSC_TRUE;
3953     b->free_ij      = PETSC_TRUE;
3954 #if defined(PETSC_THREADCOMM_ACTIVE)
3955     ierr = MatZeroEntries_SeqAIJ(B);CHKERRQ(ierr);
3956 #endif
3957   } else {
3958     b->free_a  = PETSC_FALSE;
3959     b->free_ij = PETSC_FALSE;
3960   }
3961 
3962   b->nz               = 0;
3963   b->maxnz            = nz;
3964   B->info.nz_unneeded = (double)b->maxnz;
3965   if (realalloc) {
3966     ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3967   }
3968   PetscFunctionReturn(0);
3969 }
3970 
3971 #undef  __FUNCT__
3972 #define __FUNCT__  "MatSeqAIJSetPreallocationCSR"
3973 /*@
3974    MatSeqAIJSetPreallocationCSR - Allocates memory for a sparse sequential matrix in AIJ format.
3975 
3976    Input Parameters:
3977 +  B - the matrix
3978 .  i - the indices into j for the start of each row (starts with zero)
3979 .  j - the column indices for each row (starts with zero) these must be sorted for each row
3980 -  v - optional values in the matrix
3981 
3982    Level: developer
3983 
3984    The i,j,v values are COPIED with this routine; to avoid the copy use MatCreateSeqAIJWithArrays()
3985 
3986 .keywords: matrix, aij, compressed row, sparse, sequential
3987 
3988 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatSeqAIJSetPreallocation(), MatCreateSeqAIJ(), SeqAIJ
3989 @*/
3990 PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat B,const PetscInt i[],const PetscInt j[],const PetscScalar v[])
3991 {
3992   PetscErrorCode ierr;
3993 
3994   PetscFunctionBegin;
3995   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3996   PetscValidType(B,1);
3997   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocationCSR_C",(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,i,j,v));CHKERRQ(ierr);
3998   PetscFunctionReturn(0);
3999 }
4000 
4001 #undef  __FUNCT__
4002 #define __FUNCT__  "MatSeqAIJSetPreallocationCSR_SeqAIJ"
4003 PetscErrorCode  MatSeqAIJSetPreallocationCSR_SeqAIJ(Mat B,const PetscInt Ii[],const PetscInt J[],const PetscScalar v[])
4004 {
4005   PetscInt       i;
4006   PetscInt       m,n;
4007   PetscInt       nz;
4008   PetscInt       *nnz, nz_max = 0;
4009   PetscScalar    *values;
4010   PetscErrorCode ierr;
4011 
4012   PetscFunctionBegin;
4013   if (Ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Ii[0] must be 0 it is %D", Ii[0]);
4014 
4015   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
4016   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
4017 
4018   ierr = MatGetSize(B, &m, &n);CHKERRQ(ierr);
4019   ierr = PetscMalloc((m+1) * sizeof(PetscInt), &nnz);CHKERRQ(ierr);
4020   for (i = 0; i < m; i++) {
4021     nz     = Ii[i+1]- Ii[i];
4022     nz_max = PetscMax(nz_max, nz);
4023     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Local row %D has a negative number of columns %D", i, nnz);
4024     nnz[i] = nz;
4025   }
4026   ierr = MatSeqAIJSetPreallocation(B, 0, nnz);CHKERRQ(ierr);
4027   ierr = PetscFree(nnz);CHKERRQ(ierr);
4028 
4029   if (v) {
4030     values = (PetscScalar*) v;
4031   } else {
4032     ierr = PetscMalloc(nz_max*sizeof(PetscScalar), &values);CHKERRQ(ierr);
4033     ierr = PetscMemzero(values, nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
4034   }
4035 
4036   for (i = 0; i < m; i++) {
4037     nz   = Ii[i+1] - Ii[i];
4038     ierr = MatSetValues_SeqAIJ(B, 1, &i, nz, J+Ii[i], values + (v ? Ii[i] : 0), INSERT_VALUES);CHKERRQ(ierr);
4039   }
4040 
4041   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4042   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4043 
4044   if (!v) {
4045     ierr = PetscFree(values);CHKERRQ(ierr);
4046   }
4047   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
4048   PetscFunctionReturn(0);
4049 }
4050 
4051 #include <../src/mat/impls/dense/seq/dense.h>
4052 #include <petsc-private/kernels/petscaxpy.h>
4053 
4054 #undef __FUNCT__
4055 #define __FUNCT__ "MatMatMultNumeric_SeqDense_SeqAIJ"
4056 /*
4057     Computes (B'*A')' since computing B*A directly is untenable
4058 
4059                n                       p                          p
4060         (              )       (              )         (                  )
4061       m (      A       )  *  n (       B      )   =   m (         C        )
4062         (              )       (              )         (                  )
4063 
4064 */
4065 PetscErrorCode MatMatMultNumeric_SeqDense_SeqAIJ(Mat A,Mat B,Mat C)
4066 {
4067   PetscErrorCode    ierr;
4068   Mat_SeqDense      *sub_a = (Mat_SeqDense*)A->data;
4069   Mat_SeqAIJ        *sub_b = (Mat_SeqAIJ*)B->data;
4070   Mat_SeqDense      *sub_c = (Mat_SeqDense*)C->data;
4071   PetscInt          i,n,m,q,p;
4072   const PetscInt    *ii,*idx;
4073   const PetscScalar *b,*a,*a_q;
4074   PetscScalar       *c,*c_q;
4075 
4076   PetscFunctionBegin;
4077   m    = A->rmap->n;
4078   n    = A->cmap->n;
4079   p    = B->cmap->n;
4080   a    = sub_a->v;
4081   b    = sub_b->a;
4082   c    = sub_c->v;
4083   ierr = PetscMemzero(c,m*p*sizeof(PetscScalar));CHKERRQ(ierr);
4084 
4085   ii  = sub_b->i;
4086   idx = sub_b->j;
4087   for (i=0; i<n; i++) {
4088     q = ii[i+1] - ii[i];
4089     while (q-->0) {
4090       c_q = c + m*(*idx);
4091       a_q = a + m*i;
4092       PetscKernelAXPY(c_q,*b,a_q,m);
4093       idx++;
4094       b++;
4095     }
4096   }
4097   PetscFunctionReturn(0);
4098 }
4099 
4100 #undef __FUNCT__
4101 #define __FUNCT__ "MatMatMultSymbolic_SeqDense_SeqAIJ"
4102 PetscErrorCode MatMatMultSymbolic_SeqDense_SeqAIJ(Mat A,Mat B,PetscReal fill,Mat *C)
4103 {
4104   PetscErrorCode ierr;
4105   PetscInt       m=A->rmap->n,n=B->cmap->n;
4106   Mat            Cmat;
4107 
4108   PetscFunctionBegin;
4109   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);
4110   ierr = MatCreate(PetscObjectComm((PetscObject)A),&Cmat);CHKERRQ(ierr);
4111   ierr = MatSetSizes(Cmat,m,n,m,n);CHKERRQ(ierr);
4112   ierr = MatSetBlockSizes(Cmat,A->rmap->bs,B->cmap->bs);CHKERRQ(ierr);
4113   ierr = MatSetType(Cmat,MATSEQDENSE);CHKERRQ(ierr);
4114   ierr = MatSeqDenseSetPreallocation(Cmat,NULL);CHKERRQ(ierr);
4115 
4116   Cmat->ops->matmultnumeric = MatMatMultNumeric_SeqDense_SeqAIJ;
4117 
4118   *C = Cmat;
4119   PetscFunctionReturn(0);
4120 }
4121 
4122 /* ----------------------------------------------------------------*/
4123 #undef __FUNCT__
4124 #define __FUNCT__ "MatMatMult_SeqDense_SeqAIJ"
4125 PetscErrorCode MatMatMult_SeqDense_SeqAIJ(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
4126 {
4127   PetscErrorCode ierr;
4128 
4129   PetscFunctionBegin;
4130   if (scall == MAT_INITIAL_MATRIX) {
4131     ierr = PetscLogEventBegin(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
4132     ierr = MatMatMultSymbolic_SeqDense_SeqAIJ(A,B,fill,C);CHKERRQ(ierr);
4133     ierr = PetscLogEventEnd(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
4134   }
4135   ierr = PetscLogEventBegin(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
4136   ierr = MatMatMultNumeric_SeqDense_SeqAIJ(A,B,*C);CHKERRQ(ierr);
4137   ierr = PetscLogEventEnd(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
4138   PetscFunctionReturn(0);
4139 }
4140 
4141 
4142 /*MC
4143    MATSEQAIJ - MATSEQAIJ = "seqaij" - A matrix type to be used for sequential sparse matrices,
4144    based on compressed sparse row format.
4145 
4146    Options Database Keys:
4147 . -mat_type seqaij - sets the matrix type to "seqaij" during a call to MatSetFromOptions()
4148 
4149   Level: beginner
4150 
4151 .seealso: MatCreateSeqAIJ(), MatSetFromOptions(), MatSetType(), MatCreate(), MatType
4152 M*/
4153 
4154 /*MC
4155    MATAIJ - MATAIJ = "aij" - A matrix type to be used for sparse matrices.
4156 
4157    This matrix type is identical to MATSEQAIJ when constructed with a single process communicator,
4158    and MATMPIAIJ otherwise.  As a result, for single process communicators,
4159   MatSeqAIJSetPreallocation is supported, and similarly MatMPIAIJSetPreallocation is supported
4160   for communicators controlling multiple processes.  It is recommended that you call both of
4161   the above preallocation routines for simplicity.
4162 
4163    Options Database Keys:
4164 . -mat_type aij - sets the matrix type to "aij" during a call to MatSetFromOptions()
4165 
4166   Developer Notes: Subclasses include MATAIJCUSP, MATAIJPERM, MATAIJCRL, and also automatically switches over to use inodes when
4167    enough exist.
4168 
4169   Level: beginner
4170 
4171 .seealso: MatCreateAIJ(), MatCreateSeqAIJ(), MATSEQAIJ,MATMPIAIJ
4172 M*/
4173 
4174 /*MC
4175    MATAIJCRL - MATAIJCRL = "aijcrl" - A matrix type to be used for sparse matrices.
4176 
4177    This matrix type is identical to MATSEQAIJCRL when constructed with a single process communicator,
4178    and MATMPIAIJCRL otherwise.  As a result, for single process communicators,
4179    MatSeqAIJSetPreallocation() is supported, and similarly MatMPIAIJSetPreallocation() is supported
4180   for communicators controlling multiple processes.  It is recommended that you call both of
4181   the above preallocation routines for simplicity.
4182 
4183    Options Database Keys:
4184 . -mat_type aijcrl - sets the matrix type to "aijcrl" during a call to MatSetFromOptions()
4185 
4186   Level: beginner
4187 
4188 .seealso: MatCreateMPIAIJCRL,MATSEQAIJCRL,MATMPIAIJCRL, MATSEQAIJCRL, MATMPIAIJCRL
4189 M*/
4190 
4191 #if defined(PETSC_HAVE_PASTIX)
4192 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_pastix(Mat,MatFactorType,Mat*);
4193 #endif
4194 #if defined(PETSC_HAVE_ESSL) && !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_REAL_SINGLE) && !defined(PETSC_USE_REAL___FLOAT128)
4195 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_essl(Mat,MatFactorType,Mat*);
4196 #endif
4197 PETSC_EXTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJCRL(Mat,MatType,MatReuse,Mat*);
4198 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_petsc(Mat,MatFactorType,Mat*);
4199 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_bas(Mat,MatFactorType,Mat*);
4200 extern PetscErrorCode  MatGetFactorAvailable_seqaij_petsc(Mat,MatFactorType,PetscBool*);
4201 #if defined(PETSC_HAVE_MUMPS)
4202 PETSC_EXTERN PetscErrorCode MatGetFactor_aij_mumps(Mat,MatFactorType,Mat*);
4203 #endif
4204 #if defined(PETSC_HAVE_SUPERLU)
4205 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_superlu(Mat,MatFactorType,Mat*);
4206 #endif
4207 #if defined(PETSC_HAVE_SUPERLU_DIST)
4208 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_superlu_dist(Mat,MatFactorType,Mat*);
4209 #endif
4210 #if defined(PETSC_HAVE_UMFPACK)
4211 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_umfpack(Mat,MatFactorType,Mat*);
4212 #endif
4213 #if defined(PETSC_HAVE_CHOLMOD)
4214 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_cholmod(Mat,MatFactorType,Mat*);
4215 #endif
4216 #if defined(PETSC_HAVE_LUSOL)
4217 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_lusol(Mat,MatFactorType,Mat*);
4218 #endif
4219 #if defined(PETSC_HAVE_MATLAB_ENGINE)
4220 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_matlab(Mat,MatFactorType,Mat*);
4221 extern PetscErrorCode  MatlabEnginePut_SeqAIJ(PetscObject,void*);
4222 extern PetscErrorCode  MatlabEngineGet_SeqAIJ(PetscObject,void*);
4223 #endif
4224 #if defined(PETSC_HAVE_CLIQUE)
4225 PETSC_EXTERN PetscErrorCode MatGetFactor_aij_clique(Mat,MatFactorType,Mat*);
4226 #endif
4227 
4228 
4229 #undef __FUNCT__
4230 #define __FUNCT__ "MatSeqAIJGetArray"
4231 /*@C
4232    MatSeqAIJGetArray - gives access to the array where the data for a SeqSeqAIJ matrix is stored
4233 
4234    Not Collective
4235 
4236    Input Parameter:
4237 .  mat - a MATSEQDENSE matrix
4238 
4239    Output Parameter:
4240 .   array - pointer to the data
4241 
4242    Level: intermediate
4243 
4244 .seealso: MatSeqAIJRestoreArray(), MatSeqAIJGetArrayF90()
4245 @*/
4246 PetscErrorCode  MatSeqAIJGetArray(Mat A,PetscScalar **array)
4247 {
4248   PetscErrorCode ierr;
4249 
4250   PetscFunctionBegin;
4251   ierr = PetscUseMethod(A,"MatSeqAIJGetArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
4252   PetscFunctionReturn(0);
4253 }
4254 
4255 #undef __FUNCT__
4256 #define __FUNCT__ "MatSeqAIJRestoreArray"
4257 /*@C
4258    MatSeqAIJRestoreArray - returns access to the array where the data for a SeqSeqAIJ matrix is stored obtained by MatSeqAIJGetArray()
4259 
4260    Not Collective
4261 
4262    Input Parameters:
4263 .  mat - a MATSEQDENSE matrix
4264 .  array - pointer to the data
4265 
4266    Level: intermediate
4267 
4268 .seealso: MatSeqAIJGetArray(), MatSeqAIJRestoreArrayF90()
4269 @*/
4270 PetscErrorCode  MatSeqAIJRestoreArray(Mat A,PetscScalar **array)
4271 {
4272   PetscErrorCode ierr;
4273 
4274   PetscFunctionBegin;
4275   ierr = PetscUseMethod(A,"MatSeqAIJRestoreArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
4276   PetscFunctionReturn(0);
4277 }
4278 
4279 #undef __FUNCT__
4280 #define __FUNCT__ "MatCreate_SeqAIJ"
4281 PETSC_EXTERN PetscErrorCode MatCreate_SeqAIJ(Mat B)
4282 {
4283   Mat_SeqAIJ     *b;
4284   PetscErrorCode ierr;
4285   PetscMPIInt    size;
4286 
4287   PetscFunctionBegin;
4288   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&size);CHKERRQ(ierr);
4289   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Comm must be of size 1");
4290 
4291   ierr = PetscNewLog(B,Mat_SeqAIJ,&b);CHKERRQ(ierr);
4292 
4293   B->data = (void*)b;
4294 
4295   ierr = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
4296 
4297   b->row                = 0;
4298   b->col                = 0;
4299   b->icol               = 0;
4300   b->reallocs           = 0;
4301   b->ignorezeroentries  = PETSC_FALSE;
4302   b->roworiented        = PETSC_TRUE;
4303   b->nonew              = 0;
4304   b->diag               = 0;
4305   b->solve_work         = 0;
4306   B->spptr              = 0;
4307   b->saved_values       = 0;
4308   b->idiag              = 0;
4309   b->mdiag              = 0;
4310   b->ssor_work          = 0;
4311   b->omega              = 1.0;
4312   b->fshift             = 0.0;
4313   b->idiagvalid         = PETSC_FALSE;
4314   b->ibdiagvalid        = PETSC_FALSE;
4315   b->keepnonzeropattern = PETSC_FALSE;
4316   b->xtoy               = 0;
4317   b->XtoY               = 0;
4318   B->same_nonzero       = PETSC_FALSE;
4319 
4320   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
4321   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJGetArray_C",MatSeqAIJGetArray_SeqAIJ);CHKERRQ(ierr);
4322   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJRestoreArray_C",MatSeqAIJRestoreArray_SeqAIJ);CHKERRQ(ierr);
4323 
4324 #if defined(PETSC_HAVE_MATLAB_ENGINE)
4325   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_matlab_C",MatGetFactor_seqaij_matlab);CHKERRQ(ierr);
4326   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEnginePut_C",MatlabEnginePut_SeqAIJ);CHKERRQ(ierr);
4327   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEngineGet_C",MatlabEngineGet_SeqAIJ);CHKERRQ(ierr);
4328 #endif
4329 #if defined(PETSC_HAVE_PASTIX)
4330   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_pastix_C",MatGetFactor_seqaij_pastix);CHKERRQ(ierr);
4331 #endif
4332 #if defined(PETSC_HAVE_ESSL) && !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_REAL_SINGLE) && !defined(PETSC_USE_REAL___FLOAT128)
4333   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_essl_C",MatGetFactor_seqaij_essl);CHKERRQ(ierr);
4334 #endif
4335 #if defined(PETSC_HAVE_SUPERLU)
4336   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_superlu_C",MatGetFactor_seqaij_superlu);CHKERRQ(ierr);
4337 #endif
4338 #if defined(PETSC_HAVE_SUPERLU_DIST)
4339   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_superlu_dist_C",MatGetFactor_seqaij_superlu_dist);CHKERRQ(ierr);
4340 #endif
4341 #if defined(PETSC_HAVE_MUMPS)
4342   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_mumps_C",MatGetFactor_aij_mumps);CHKERRQ(ierr);
4343 #endif
4344 #if defined(PETSC_HAVE_UMFPACK)
4345   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_umfpack_C",MatGetFactor_seqaij_umfpack);CHKERRQ(ierr);
4346 #endif
4347 #if defined(PETSC_HAVE_CHOLMOD)
4348   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_cholmod_C",MatGetFactor_seqaij_cholmod);CHKERRQ(ierr);
4349 #endif
4350 #if defined(PETSC_HAVE_LUSOL)
4351   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_lusol_C",MatGetFactor_seqaij_lusol);CHKERRQ(ierr);
4352 #endif
4353 #if defined(PETSC_HAVE_CLIQUE)
4354   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_clique_C",MatGetFactor_aij_clique);CHKERRQ(ierr);
4355 #endif
4356 
4357   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_petsc_C",MatGetFactor_seqaij_petsc);CHKERRQ(ierr);
4358   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactorAvailable_petsc_C",MatGetFactorAvailable_seqaij_petsc);CHKERRQ(ierr);
4359   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_bas_C",MatGetFactor_seqaij_bas);CHKERRQ(ierr);
4360   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetColumnIndices_C",MatSeqAIJSetColumnIndices_SeqAIJ);CHKERRQ(ierr);
4361   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_SeqAIJ);CHKERRQ(ierr);
4362   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_SeqAIJ);CHKERRQ(ierr);
4363   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqsbaij_C",MatConvert_SeqAIJ_SeqSBAIJ);CHKERRQ(ierr);
4364   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqbaij_C",MatConvert_SeqAIJ_SeqBAIJ);CHKERRQ(ierr);
4365   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijperm_C",MatConvert_SeqAIJ_SeqAIJPERM);CHKERRQ(ierr);
4366   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijcrl_C",MatConvert_SeqAIJ_SeqAIJCRL);CHKERRQ(ierr);
4367   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4368   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsHermitianTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4369   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocation_C",MatSeqAIJSetPreallocation_SeqAIJ);CHKERRQ(ierr);
4370   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocationCSR_C",MatSeqAIJSetPreallocationCSR_SeqAIJ);CHKERRQ(ierr);
4371   ierr = PetscObjectComposeFunction((PetscObject)B,"MatReorderForNonzeroDiagonal_C",MatReorderForNonzeroDiagonal_SeqAIJ);CHKERRQ(ierr);
4372   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMult_seqdense_seqaij_C",MatMatMult_SeqDense_SeqAIJ);CHKERRQ(ierr);
4373   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultSymbolic_seqdense_seqaij_C",MatMatMultSymbolic_SeqDense_SeqAIJ);CHKERRQ(ierr);
4374   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultNumeric_seqdense_seqaij_C",MatMatMultNumeric_SeqDense_SeqAIJ);CHKERRQ(ierr);
4375   ierr = MatCreate_SeqAIJ_Inode(B);CHKERRQ(ierr);
4376   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
4377   PetscFunctionReturn(0);
4378 }
4379 
4380 #undef __FUNCT__
4381 #define __FUNCT__ "MatDuplicateNoCreate_SeqAIJ"
4382 /*
4383     Given a matrix generated with MatGetFactor() duplicates all the information in A into B
4384 */
4385 PetscErrorCode MatDuplicateNoCreate_SeqAIJ(Mat C,Mat A,MatDuplicateOption cpvalues,PetscBool mallocmatspace)
4386 {
4387   Mat_SeqAIJ     *c,*a = (Mat_SeqAIJ*)A->data;
4388   PetscErrorCode ierr;
4389   PetscInt       i,m = A->rmap->n;
4390 
4391   PetscFunctionBegin;
4392   c = (Mat_SeqAIJ*)C->data;
4393 
4394   C->factortype = A->factortype;
4395   c->row        = 0;
4396   c->col        = 0;
4397   c->icol       = 0;
4398   c->reallocs   = 0;
4399 
4400   C->assembled = PETSC_TRUE;
4401 
4402   ierr = PetscLayoutReference(A->rmap,&C->rmap);CHKERRQ(ierr);
4403   ierr = PetscLayoutReference(A->cmap,&C->cmap);CHKERRQ(ierr);
4404 
4405   ierr = PetscMalloc2(m,PetscInt,&c->imax,m,PetscInt,&c->ilen);CHKERRQ(ierr);
4406   ierr = PetscLogObjectMemory((PetscObject)C, 2*m*sizeof(PetscInt));CHKERRQ(ierr);
4407   for (i=0; i<m; i++) {
4408     c->imax[i] = a->imax[i];
4409     c->ilen[i] = a->ilen[i];
4410   }
4411 
4412   /* allocate the matrix space */
4413   if (mallocmatspace) {
4414     ierr = PetscMalloc3(a->i[m],PetscScalar,&c->a,a->i[m],PetscInt,&c->j,m+1,PetscInt,&c->i);CHKERRQ(ierr);
4415     ierr = PetscLogObjectMemory((PetscObject)C, a->i[m]*(sizeof(PetscScalar)+sizeof(PetscInt))+(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4416 
4417     c->singlemalloc = PETSC_TRUE;
4418 
4419     ierr = PetscMemcpy(c->i,a->i,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4420     if (m > 0) {
4421       ierr = PetscMemcpy(c->j,a->j,(a->i[m])*sizeof(PetscInt));CHKERRQ(ierr);
4422       if (cpvalues == MAT_COPY_VALUES) {
4423         ierr = PetscMemcpy(c->a,a->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4424       } else {
4425         ierr = PetscMemzero(c->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4426       }
4427     }
4428   }
4429 
4430   c->ignorezeroentries = a->ignorezeroentries;
4431   c->roworiented       = a->roworiented;
4432   c->nonew             = a->nonew;
4433   if (a->diag) {
4434     ierr = PetscMalloc((m+1)*sizeof(PetscInt),&c->diag);CHKERRQ(ierr);
4435     ierr = PetscLogObjectMemory((PetscObject)C,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4436     for (i=0; i<m; i++) {
4437       c->diag[i] = a->diag[i];
4438     }
4439   } else c->diag = 0;
4440 
4441   c->solve_work         = 0;
4442   c->saved_values       = 0;
4443   c->idiag              = 0;
4444   c->ssor_work          = 0;
4445   c->keepnonzeropattern = a->keepnonzeropattern;
4446   c->free_a             = PETSC_TRUE;
4447   c->free_ij            = PETSC_TRUE;
4448   c->xtoy               = 0;
4449   c->XtoY               = 0;
4450 
4451   c->rmax         = a->rmax;
4452   c->nz           = a->nz;
4453   c->maxnz        = a->nz;       /* Since we allocate exactly the right amount */
4454   C->preallocated = PETSC_TRUE;
4455 
4456   c->compressedrow.use   = a->compressedrow.use;
4457   c->compressedrow.nrows = a->compressedrow.nrows;
4458   c->compressedrow.check = a->compressedrow.check;
4459   if (a->compressedrow.use) {
4460     i    = a->compressedrow.nrows;
4461     ierr = PetscMalloc2(i+1,PetscInt,&c->compressedrow.i,i,PetscInt,&c->compressedrow.rindex);CHKERRQ(ierr);
4462     ierr = PetscMemcpy(c->compressedrow.i,a->compressedrow.i,(i+1)*sizeof(PetscInt));CHKERRQ(ierr);
4463     ierr = PetscMemcpy(c->compressedrow.rindex,a->compressedrow.rindex,i*sizeof(PetscInt));CHKERRQ(ierr);
4464   } else {
4465     c->compressedrow.use    = PETSC_FALSE;
4466     c->compressedrow.i      = NULL;
4467     c->compressedrow.rindex = NULL;
4468   }
4469   C->same_nonzero = A->same_nonzero;
4470 
4471   ierr = MatDuplicate_SeqAIJ_Inode(A,cpvalues,&C);CHKERRQ(ierr);
4472   ierr = PetscFunctionListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
4473   PetscFunctionReturn(0);
4474 }
4475 
4476 #undef __FUNCT__
4477 #define __FUNCT__ "MatDuplicate_SeqAIJ"
4478 PetscErrorCode MatDuplicate_SeqAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
4479 {
4480   PetscErrorCode ierr;
4481 
4482   PetscFunctionBegin;
4483   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
4484   ierr = MatSetSizes(*B,A->rmap->n,A->cmap->n,A->rmap->n,A->cmap->n);CHKERRQ(ierr);
4485   ierr = MatSetBlockSizes(*B,A->rmap->bs,A->cmap->bs);CHKERRQ(ierr);
4486   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
4487   ierr = MatDuplicateNoCreate_SeqAIJ(*B,A,cpvalues,PETSC_TRUE);CHKERRQ(ierr);
4488   PetscFunctionReturn(0);
4489 }
4490 
4491 #undef __FUNCT__
4492 #define __FUNCT__ "MatLoad_SeqAIJ"
4493 PetscErrorCode MatLoad_SeqAIJ(Mat newMat, PetscViewer viewer)
4494 {
4495   Mat_SeqAIJ     *a;
4496   PetscErrorCode ierr;
4497   PetscInt       i,sum,nz,header[4],*rowlengths = 0,M,N,rows,cols;
4498   int            fd;
4499   PetscMPIInt    size;
4500   MPI_Comm       comm;
4501   PetscInt       bs = 1;
4502 
4503   PetscFunctionBegin;
4504   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
4505   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4506   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"view must have one processor");
4507 
4508   ierr = PetscOptionsBegin(comm,NULL,"Options for loading SEQAIJ matrix","Mat");CHKERRQ(ierr);
4509   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
4510   ierr = PetscOptionsEnd();CHKERRQ(ierr);
4511   if (bs > 1) {ierr = MatSetBlockSize(newMat,bs);CHKERRQ(ierr);}
4512 
4513   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
4514   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
4515   if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object in file");
4516   M = header[1]; N = header[2]; nz = header[3];
4517 
4518   if (nz < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk,cannot load as SeqAIJ");
4519 
4520   /* read in row lengths */
4521   ierr = PetscMalloc(M*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
4522   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
4523 
4524   /* check if sum of rowlengths is same as nz */
4525   for (i=0,sum=0; i< M; i++) sum +=rowlengths[i];
4526   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);
4527 
4528   /* set global size if not set already*/
4529   if (newMat->rmap->n < 0 && newMat->rmap->N < 0 && newMat->cmap->n < 0 && newMat->cmap->N < 0) {
4530     ierr = MatSetSizes(newMat,PETSC_DECIDE,PETSC_DECIDE,M,N);CHKERRQ(ierr);
4531   } else {
4532     /* if sizes and type are already set, check if the vector global sizes are correct */
4533     ierr = MatGetSize(newMat,&rows,&cols);CHKERRQ(ierr);
4534     if (rows < 0 && cols < 0) { /* user might provide local size instead of global size */
4535       ierr = MatGetLocalSize(newMat,&rows,&cols);CHKERRQ(ierr);
4536     }
4537     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);
4538   }
4539   ierr = MatSeqAIJSetPreallocation_SeqAIJ(newMat,0,rowlengths);CHKERRQ(ierr);
4540   a    = (Mat_SeqAIJ*)newMat->data;
4541 
4542   ierr = PetscBinaryRead(fd,a->j,nz,PETSC_INT);CHKERRQ(ierr);
4543 
4544   /* read in nonzero values */
4545   ierr = PetscBinaryRead(fd,a->a,nz,PETSC_SCALAR);CHKERRQ(ierr);
4546 
4547   /* set matrix "i" values */
4548   a->i[0] = 0;
4549   for (i=1; i<= M; i++) {
4550     a->i[i]      = a->i[i-1] + rowlengths[i-1];
4551     a->ilen[i-1] = rowlengths[i-1];
4552   }
4553   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
4554 
4555   ierr = MatAssemblyBegin(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4556   ierr = MatAssemblyEnd(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4557   PetscFunctionReturn(0);
4558 }
4559 
4560 #undef __FUNCT__
4561 #define __FUNCT__ "MatEqual_SeqAIJ"
4562 PetscErrorCode MatEqual_SeqAIJ(Mat A,Mat B,PetscBool * flg)
4563 {
4564   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*b = (Mat_SeqAIJ*)B->data;
4565   PetscErrorCode ierr;
4566 #if defined(PETSC_USE_COMPLEX)
4567   PetscInt k;
4568 #endif
4569 
4570   PetscFunctionBegin;
4571   /* If the  matrix dimensions are not equal,or no of nonzeros */
4572   if ((A->rmap->n != B->rmap->n) || (A->cmap->n != B->cmap->n) ||(a->nz != b->nz)) {
4573     *flg = PETSC_FALSE;
4574     PetscFunctionReturn(0);
4575   }
4576 
4577   /* if the a->i are the same */
4578   ierr = PetscMemcmp(a->i,b->i,(A->rmap->n+1)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4579   if (!*flg) PetscFunctionReturn(0);
4580 
4581   /* if a->j are the same */
4582   ierr = PetscMemcmp(a->j,b->j,(a->nz)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4583   if (!*flg) PetscFunctionReturn(0);
4584 
4585   /* if a->a are the same */
4586 #if defined(PETSC_USE_COMPLEX)
4587   for (k=0; k<a->nz; k++) {
4588     if (PetscRealPart(a->a[k]) != PetscRealPart(b->a[k]) || PetscImaginaryPart(a->a[k]) != PetscImaginaryPart(b->a[k])) {
4589       *flg = PETSC_FALSE;
4590       PetscFunctionReturn(0);
4591     }
4592   }
4593 #else
4594   ierr = PetscMemcmp(a->a,b->a,(a->nz)*sizeof(PetscScalar),flg);CHKERRQ(ierr);
4595 #endif
4596   PetscFunctionReturn(0);
4597 }
4598 
4599 #undef __FUNCT__
4600 #define __FUNCT__ "MatCreateSeqAIJWithArrays"
4601 /*@
4602      MatCreateSeqAIJWithArrays - Creates an sequential AIJ matrix using matrix elements (in CSR format)
4603               provided by the user.
4604 
4605       Collective on MPI_Comm
4606 
4607    Input Parameters:
4608 +   comm - must be an MPI communicator of size 1
4609 .   m - number of rows
4610 .   n - number of columns
4611 .   i - row indices
4612 .   j - column indices
4613 -   a - matrix values
4614 
4615    Output Parameter:
4616 .   mat - the matrix
4617 
4618    Level: intermediate
4619 
4620    Notes:
4621        The i, j, and a arrays are not copied by this routine, the user must free these arrays
4622     once the matrix is destroyed and not before
4623 
4624        You cannot set new nonzero locations into this matrix, that will generate an error.
4625 
4626        The i and j indices are 0 based
4627 
4628        The format which is used for the sparse matrix input, is equivalent to a
4629     row-major ordering.. i.e for the following matrix, the input data expected is
4630     as shown:
4631 
4632         1 0 0
4633         2 0 3
4634         4 5 6
4635 
4636         i =  {0,1,3,6}  [size = nrow+1  = 3+1]
4637         j =  {0,0,2,0,1,2}  [size = nz = 6]; values must be sorted for each row
4638         v =  {1,2,3,4,5,6}  [size = nz = 6]
4639 
4640 
4641 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateMPIAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4642 
4643 @*/
4644 PetscErrorCode  MatCreateSeqAIJWithArrays(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt *i,PetscInt *j,PetscScalar *a,Mat *mat)
4645 {
4646   PetscErrorCode ierr;
4647   PetscInt       ii;
4648   Mat_SeqAIJ     *aij;
4649 #if defined(PETSC_USE_DEBUG)
4650   PetscInt jj;
4651 #endif
4652 
4653   PetscFunctionBegin;
4654   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
4655   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4656   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4657   /* ierr = MatSetBlockSizes(*mat,,);CHKERRQ(ierr); */
4658   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4659   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
4660   aij  = (Mat_SeqAIJ*)(*mat)->data;
4661   ierr = PetscMalloc2(m,PetscInt,&aij->imax,m,PetscInt,&aij->ilen);CHKERRQ(ierr);
4662 
4663   aij->i            = i;
4664   aij->j            = j;
4665   aij->a            = a;
4666   aij->singlemalloc = PETSC_FALSE;
4667   aij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
4668   aij->free_a       = PETSC_FALSE;
4669   aij->free_ij      = PETSC_FALSE;
4670 
4671   for (ii=0; ii<m; ii++) {
4672     aij->ilen[ii] = aij->imax[ii] = i[ii+1] - i[ii];
4673 #if defined(PETSC_USE_DEBUG)
4674     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]);
4675     for (jj=i[ii]+1; jj<i[ii+1]; jj++) {
4676       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);
4677       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);
4678     }
4679 #endif
4680   }
4681 #if defined(PETSC_USE_DEBUG)
4682   for (ii=0; ii<aij->i[m]; ii++) {
4683     if (j[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %d index = %d",ii,j[ii]);
4684     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]);
4685   }
4686 #endif
4687 
4688   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4689   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4690   PetscFunctionReturn(0);
4691 }
4692 #undef __FUNCT__
4693 #define __FUNCT__ "MatCreateSeqAIJFromTriple"
4694 /*@C
4695      MatCreateSeqAIJFromTriple - Creates an sequential AIJ matrix using matrix elements (in COO format)
4696               provided by the user.
4697 
4698       Collective on MPI_Comm
4699 
4700    Input Parameters:
4701 +   comm - must be an MPI communicator of size 1
4702 .   m   - number of rows
4703 .   n   - number of columns
4704 .   i   - row indices
4705 .   j   - column indices
4706 .   a   - matrix values
4707 .   nz  - number of nonzeros
4708 -   idx - 0 or 1 based
4709 
4710    Output Parameter:
4711 .   mat - the matrix
4712 
4713    Level: intermediate
4714 
4715    Notes:
4716        The i and j indices are 0 based
4717 
4718        The format which is used for the sparse matrix input, is equivalent to a
4719     row-major ordering.. i.e for the following matrix, the input data expected is
4720     as shown:
4721 
4722         1 0 0
4723         2 0 3
4724         4 5 6
4725 
4726         i =  {0,1,1,2,2,2}
4727         j =  {0,0,2,0,1,2}
4728         v =  {1,2,3,4,5,6}
4729 
4730 
4731 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateSeqAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4732 
4733 @*/
4734 PetscErrorCode  MatCreateSeqAIJFromTriple(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt *i,PetscInt *j,PetscScalar *a,Mat *mat,PetscInt nz,PetscBool idx)
4735 {
4736   PetscErrorCode ierr;
4737   PetscInt       ii, *nnz, one = 1,row,col;
4738 
4739 
4740   PetscFunctionBegin;
4741   ierr = PetscMalloc(m*sizeof(PetscInt),&nnz);CHKERRQ(ierr);
4742   ierr = PetscMemzero(nnz,m*sizeof(PetscInt));CHKERRQ(ierr);
4743   for (ii = 0; ii < nz; ii++) {
4744     nnz[i[ii]] += 1;
4745   }
4746   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4747   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4748   /* ierr = MatSetBlockSizes(*mat,,);CHKERRQ(ierr); */
4749   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4750   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,0,nnz);CHKERRQ(ierr);
4751   for (ii = 0; ii < nz; ii++) {
4752     if (idx) {
4753       row = i[ii] - 1;
4754       col = j[ii] - 1;
4755     } else {
4756       row = i[ii];
4757       col = j[ii];
4758     }
4759     ierr = MatSetValues(*mat,one,&row,one,&col,&a[ii],ADD_VALUES);CHKERRQ(ierr);
4760   }
4761   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4762   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4763   ierr = PetscFree(nnz);CHKERRQ(ierr);
4764   PetscFunctionReturn(0);
4765 }
4766 
4767 #undef __FUNCT__
4768 #define __FUNCT__ "MatSetColoring_SeqAIJ"
4769 PetscErrorCode MatSetColoring_SeqAIJ(Mat A,ISColoring coloring)
4770 {
4771   PetscErrorCode ierr;
4772   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
4773 
4774   PetscFunctionBegin;
4775   if (coloring->ctype == IS_COLORING_GLOBAL) {
4776     ierr        = ISColoringReference(coloring);CHKERRQ(ierr);
4777     a->coloring = coloring;
4778   } else if (coloring->ctype == IS_COLORING_GHOSTED) {
4779     PetscInt        i,*larray;
4780     ISColoring      ocoloring;
4781     ISColoringValue *colors;
4782 
4783     /* set coloring for diagonal portion */
4784     ierr = PetscMalloc(A->cmap->n*sizeof(PetscInt),&larray);CHKERRQ(ierr);
4785     for (i=0; i<A->cmap->n; i++) larray[i] = i;
4786     ierr = ISGlobalToLocalMappingApply(A->cmap->mapping,IS_GTOLM_MASK,A->cmap->n,larray,NULL,larray);CHKERRQ(ierr);
4787     ierr = PetscMalloc(A->cmap->n*sizeof(ISColoringValue),&colors);CHKERRQ(ierr);
4788     for (i=0; i<A->cmap->n; i++) colors[i] = coloring->colors[larray[i]];
4789     ierr        = PetscFree(larray);CHKERRQ(ierr);
4790     ierr        = ISColoringCreate(PETSC_COMM_SELF,coloring->n,A->cmap->n,colors,&ocoloring);CHKERRQ(ierr);
4791     a->coloring = ocoloring;
4792   }
4793   PetscFunctionReturn(0);
4794 }
4795 
4796 #undef __FUNCT__
4797 #define __FUNCT__ "MatSetValuesAdifor_SeqAIJ"
4798 PetscErrorCode MatSetValuesAdifor_SeqAIJ(Mat A,PetscInt nl,void *advalues)
4799 {
4800   Mat_SeqAIJ      *a      = (Mat_SeqAIJ*)A->data;
4801   PetscInt        m       = A->rmap->n,*ii = a->i,*jj = a->j,nz,i,j;
4802   MatScalar       *v      = a->a;
4803   PetscScalar     *values = (PetscScalar*)advalues;
4804   ISColoringValue *color;
4805 
4806   PetscFunctionBegin;
4807   if (!a->coloring) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Coloring not set for matrix");
4808   color = a->coloring->colors;
4809   /* loop over rows */
4810   for (i=0; i<m; i++) {
4811     nz = ii[i+1] - ii[i];
4812     /* loop over columns putting computed value into matrix */
4813     for (j=0; j<nz; j++) *v++ = values[color[*jj++]];
4814     values += nl; /* jump to next row of derivatives */
4815   }
4816   PetscFunctionReturn(0);
4817 }
4818 
4819 #undef __FUNCT__
4820 #define __FUNCT__ "MatSeqAIJInvalidateDiagonal"
4821 PetscErrorCode MatSeqAIJInvalidateDiagonal(Mat A)
4822 {
4823   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data;
4824   PetscErrorCode ierr;
4825 
4826   PetscFunctionBegin;
4827   a->idiagvalid  = PETSC_FALSE;
4828   a->ibdiagvalid = PETSC_FALSE;
4829 
4830   ierr = MatSeqAIJInvalidateDiagonal_Inode(A);CHKERRQ(ierr);
4831   PetscFunctionReturn(0);
4832 }
4833 
4834 /*
4835     Special version for direct calls from Fortran
4836 */
4837 #include <petsc-private/fortranimpl.h>
4838 #if defined(PETSC_HAVE_FORTRAN_CAPS)
4839 #define matsetvaluesseqaij_ MATSETVALUESSEQAIJ
4840 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
4841 #define matsetvaluesseqaij_ matsetvaluesseqaij
4842 #endif
4843 
4844 /* Change these macros so can be used in void function */
4845 #undef CHKERRQ
4846 #define CHKERRQ(ierr) CHKERRABORT(PetscObjectComm((PetscObject)A),ierr)
4847 #undef SETERRQ2
4848 #define SETERRQ2(comm,ierr,b,c,d) CHKERRABORT(comm,ierr)
4849 #undef SETERRQ3
4850 #define SETERRQ3(comm,ierr,b,c,d,e) CHKERRABORT(comm,ierr)
4851 
4852 #undef __FUNCT__
4853 #define __FUNCT__ "matsetvaluesseqaij_"
4854 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)
4855 {
4856   Mat            A  = *AA;
4857   PetscInt       m  = *mm, n = *nn;
4858   InsertMode     is = *isis;
4859   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
4860   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
4861   PetscInt       *imax,*ai,*ailen;
4862   PetscErrorCode ierr;
4863   PetscInt       *aj,nonew = a->nonew,lastcol = -1;
4864   MatScalar      *ap,value,*aa;
4865   PetscBool      ignorezeroentries = a->ignorezeroentries;
4866   PetscBool      roworiented       = a->roworiented;
4867 
4868   PetscFunctionBegin;
4869   MatCheckPreallocated(A,1);
4870   imax  = a->imax;
4871   ai    = a->i;
4872   ailen = a->ilen;
4873   aj    = a->j;
4874   aa    = a->a;
4875 
4876   for (k=0; k<m; k++) { /* loop over added rows */
4877     row = im[k];
4878     if (row < 0) continue;
4879 #if defined(PETSC_USE_DEBUG)
4880     if (row >= A->rmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Row too large");
4881 #endif
4882     rp   = aj + ai[row]; ap = aa + ai[row];
4883     rmax = imax[row]; nrow = ailen[row];
4884     low  = 0;
4885     high = nrow;
4886     for (l=0; l<n; l++) { /* loop over added columns */
4887       if (in[l] < 0) continue;
4888 #if defined(PETSC_USE_DEBUG)
4889       if (in[l] >= A->cmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Column too large");
4890 #endif
4891       col = in[l];
4892       if (roworiented) value = v[l + k*n];
4893       else value = v[k + l*m];
4894 
4895       if (value == 0.0 && ignorezeroentries && (is == ADD_VALUES)) continue;
4896 
4897       if (col <= lastcol) low = 0;
4898       else high = nrow;
4899       lastcol = col;
4900       while (high-low > 5) {
4901         t = (low+high)/2;
4902         if (rp[t] > col) high = t;
4903         else             low  = t;
4904       }
4905       for (i=low; i<high; i++) {
4906         if (rp[i] > col) break;
4907         if (rp[i] == col) {
4908           if (is == ADD_VALUES) ap[i] += value;
4909           else                  ap[i] = value;
4910           goto noinsert;
4911         }
4912       }
4913       if (value == 0.0 && ignorezeroentries) goto noinsert;
4914       if (nonew == 1) goto noinsert;
4915       if (nonew == -1) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero in the matrix");
4916       MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
4917       N = nrow++ - 1; a->nz++; high++;
4918       /* shift up all the later entries in this row */
4919       for (ii=N; ii>=i; ii--) {
4920         rp[ii+1] = rp[ii];
4921         ap[ii+1] = ap[ii];
4922       }
4923       rp[i] = col;
4924       ap[i] = value;
4925 noinsert:;
4926       low = i + 1;
4927     }
4928     ailen[row] = nrow;
4929   }
4930   A->same_nonzero = PETSC_FALSE;
4931   PetscFunctionReturnVoid();
4932 }
4933 
4934 
4935