xref: /petsc/src/mat/impls/aij/seq/aij.c (revision 643101a5062fd89b795ac17f5b37ad81e837ac65)
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,time_setvalues=0.0;
2741 #endif
2742 
2743   PetscFunctionBegin;
2744   ierr = MatSetUnfactored(J);CHKERRQ(ierr);
2745   ierr = PetscOptionsGetBool(NULL,"-mat_fd_coloring_dont_rezero",&flg,NULL);CHKERRQ(ierr);
2746   if (flg) {
2747     ierr = PetscInfo(coloring,"Not calling MatZeroEntries()\n");CHKERRQ(ierr);
2748   } else {
2749     PetscBool assembled;
2750     ierr = MatAssembled(J,&assembled);CHKERRQ(ierr);
2751     if (assembled) {
2752       ierr = MatZeroEntries(J);CHKERRQ(ierr);
2753     }
2754   }
2755 
2756   if (!coloring->vscale) {
2757     ierr = VecDuplicate(x1,&coloring->vscale);CHKERRQ(ierr);
2758   }
2759 
2760   if (coloring->htype[0] == 'w') { /* tacky test; need to make systematic if we add other approaches to computing h*/
2761     ierr = VecNorm(x1,NORM_2,&unorm);CHKERRQ(ierr);
2762   }
2763 
2764   /* Set w1 = F(x1) */
2765   if (!coloring->fset) {
2766     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2767     ierr = (*f)(sctx,x1,w1,fctx);CHKERRQ(ierr);
2768     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2769   } else {
2770     coloring->fset = PETSC_FALSE;
2771   }
2772 
2773   if (!coloring->w3) {
2774     ierr = VecDuplicate(x1,&coloring->w3);CHKERRQ(ierr);
2775     ierr = PetscLogObjectParent((PetscObject)coloring,(PetscObject)coloring->w3);CHKERRQ(ierr);
2776   }
2777   w3 = coloring->w3;
2778 
2779   /* Compute scale factors: vscale = 1./dx = 1./(epsilon*xx) */
2780   ierr = VecGetArray(x1,&xx);CHKERRQ(ierr);
2781   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2782   ierr = VecGetSize(x1,&N);CHKERRQ(ierr);
2783   for (col=0; col<N; col++) {
2784     if (coloring->htype[0] == 'w') {
2785       dx = 1.0 + unorm;
2786     } else {
2787       dx = xx[col];
2788     }
2789     if (dx == (PetscScalar)0.0) dx = 1.0;
2790     if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2791     else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2792     dx               *= epsilon;
2793     //vscale_array[col] = (PetscScalar)1.0/dx;
2794     vscale_array[col] = (PetscScalar)dx;
2795   }
2796 
2797   idx = den2sp;
2798   for (k=0; k<ncolors; k++) { /* loop over colors */
2799     coloring->currentcolor = k;
2800 
2801     /*
2802       Loop over each column associated with color
2803       adding the perturbation to the vector w3 = x1 + dx.
2804     */
2805     ierr = VecCopy(x1,w3);CHKERRQ(ierr);
2806     ierr = VecGetArray(w3,&w3_array);CHKERRQ(ierr);
2807     ncolumns_k = ncolumns[k];
2808     for (l=0; l<ncolumns_k; l++) { /* loop over columns */
2809       col = columns[k][l];
2810       //w3_array[col] += 1/vscale_array[col];
2811       w3_array[col] += vscale_array[col];
2812     }
2813     ierr = VecRestoreArray(w3,&w3_array);CHKERRQ(ierr);
2814 
2815     /*
2816       Evaluate function at w3 = x1 + dx (here dx is a vector of perturbations)
2817                            w2 = F(x1 + dx) - F(x1)
2818     */
2819     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2820     ierr = (*f)(sctx,w3,w2,fctx);CHKERRQ(ierr);
2821     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2822     ierr = VecAXPY(w2,-1.0,w1);CHKERRQ(ierr);
2823 
2824     /*
2825       Loop over rows of vector, putting w2/dx into Jacobian matrix
2826     */
2827 #if defined(JACOBIANCOLOROPT)
2828     ierr = PetscTime(&t0);CHKERRQ(ierr);
2829 #endif
2830     ierr = VecGetArray(w2,&y);CHKERRQ(ierr);
2831     nrows_k = nrows[k];
2832     for (l=0; l<nrows_k; l++) { /* loop over rows */
2833       row     = rows[k][l];     /* row index */
2834       //y[row] *= vscale_array[columnsforrow[k][l]];
2835       y[row] /= vscale_array[columnsforrow[k][l]];
2836       ca[idx[l]] = y[row];
2837     }
2838     idx += nrows_k;
2839     ierr = VecRestoreArray(w2,&y);CHKERRQ(ierr);
2840 #if defined(JACOBIANCOLOROPT)
2841     ierr = PetscTime(&t1);CHKERRQ(ierr);
2842     time_setvalues += t1-t0;
2843 #endif
2844   } /* endof for each color */
2845 #if defined(JACOBIANCOLOROPT)
2846   printf("     MatFDColoringApply_SeqAIJ: time_setvalues %g\n",time_setvalues);
2847 #endif
2848   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2849   ierr = VecRestoreArray(x1,&xx);CHKERRQ(ierr);
2850 
2851   coloring->currentcolor = -1;
2852   PetscFunctionReturn(0);
2853 }
2854 /* --------------------------------------------------------*/
2855 
2856 #undef __FUNCT__
2857 #define __FUNCT__ "MatFDColoringApply_SeqAIJ_old"
2858 PetscErrorCode MatFDColoringApply_SeqAIJ_old(Mat J,MatFDColoring coloring,Vec x1,MatStructure *flag,void *sctx)
2859 {
2860   PetscErrorCode (*f)(void*,Vec,Vec,void*) = (PetscErrorCode (*)(void*,Vec,Vec,void*))coloring->f;
2861   PetscErrorCode ierr;
2862   PetscInt       k,N,start,end,l,row,col,srow,**vscaleforrow;
2863   PetscScalar    dx,*y,*xx,*w3_array;
2864   PetscScalar    *vscale_array;
2865   PetscReal      epsilon = coloring->error_rel,umin = coloring->umin;
2866   Vec            w1,w2,w3;
2867   void           *fctx = coloring->fctx;
2868   PetscBool      flg   = PETSC_FALSE;
2869 
2870   PetscFunctionBegin;
2871   printf("MatFDColoringApply_SeqAIJ ...\n");
2872   if (!coloring->w1) {
2873     ierr = VecDuplicate(x1,&coloring->w1);CHKERRQ(ierr);
2874     ierr = PetscLogObjectParent((PetscObject)coloring,(PetscObject)coloring->w1);CHKERRQ(ierr);
2875     ierr = VecDuplicate(x1,&coloring->w2);CHKERRQ(ierr);
2876     ierr = PetscLogObjectParent((PetscObject)coloring,(PetscObject)coloring->w2);CHKERRQ(ierr);
2877     ierr = VecDuplicate(x1,&coloring->w3);CHKERRQ(ierr);
2878     ierr = PetscLogObjectParent((PetscObject)coloring,(PetscObject)coloring->w3);CHKERRQ(ierr);
2879   }
2880   w1 = coloring->w1; w2 = coloring->w2; w3 = coloring->w3;
2881 
2882   ierr = MatSetUnfactored(J);CHKERRQ(ierr);
2883   ierr = PetscOptionsGetBool(((PetscObject)coloring)->prefix,"-mat_fd_coloring_dont_rezero",&flg,NULL);CHKERRQ(ierr);
2884   if (flg) {
2885     ierr = PetscInfo(coloring,"Not calling MatZeroEntries()\n");CHKERRQ(ierr);
2886   } else {
2887     PetscBool assembled;
2888     ierr = MatAssembled(J,&assembled);CHKERRQ(ierr);
2889     if (assembled) {
2890       ierr = MatZeroEntries(J);CHKERRQ(ierr);
2891     }
2892   }
2893 
2894   ierr = VecGetOwnershipRange(x1,&start,&end);CHKERRQ(ierr);
2895   ierr = VecGetSize(x1,&N);CHKERRQ(ierr);
2896 
2897   if (!coloring->fset) {
2898     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2899     ierr = (*f)(sctx,x1,w1,fctx);CHKERRQ(ierr);
2900     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2901   } else {
2902     coloring->fset = PETSC_FALSE;
2903   }
2904 
2905   /*
2906       Compute all the scale factors and share with other processors
2907   */
2908   ierr = VecGetArray(x1,&xx);CHKERRQ(ierr);xx = xx - start;
2909   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);vscale_array = vscale_array - start;
2910   for (k=0; k<coloring->ncolors; k++) {
2911     /*
2912        Loop over each column associated with color adding the
2913        perturbation to the vector w3.
2914     */
2915     for (l=0; l<coloring->ncolumns[k]; l++) {
2916       col = coloring->columns[k][l];    /* column of the matrix we are probing for */
2917       dx  = xx[col];
2918       if (dx == 0.0) dx = 1.0;
2919       if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2920       else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2921       dx               *= epsilon;
2922       vscale_array[col] = 1.0/dx;
2923     }
2924   }
2925   vscale_array = vscale_array + start;
2926 
2927   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2928   ierr = VecGhostUpdateBegin(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2929   ierr = VecGhostUpdateEnd(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2930 
2931   /*  ierr = VecView(coloring->vscale,PETSC_VIEWER_STDOUT_WORLD);
2932       ierr = VecView(x1,PETSC_VIEWER_STDOUT_WORLD);*/
2933 
2934   if (coloring->vscaleforrow) vscaleforrow = coloring->vscaleforrow;
2935   else                        vscaleforrow = coloring->columnsforrow;
2936 
2937   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2938   /*
2939       Loop over each color
2940   */
2941   for (k=0; k<coloring->ncolors; k++) {
2942     coloring->currentcolor = k;
2943 
2944     ierr = VecCopy(x1,w3);CHKERRQ(ierr);
2945     ierr = VecGetArray(w3,&w3_array);CHKERRQ(ierr);w3_array = w3_array - start;
2946     /*
2947        Loop over each column associated with color adding the
2948        perturbation to the vector w3.
2949     */
2950     for (l=0; l<coloring->ncolumns[k]; l++) {
2951       col = coloring->columns[k][l];    /* column of the matrix we are probing for */
2952       dx  = xx[col];
2953       if (dx == 0.0) dx = 1.0;
2954       if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2955       else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2956       dx *= epsilon;
2957       if (!PetscAbsScalar(dx)) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Computed 0 differencing parameter");
2958       w3_array[col] += dx;
2959     }
2960     w3_array = w3_array + start; ierr = VecRestoreArray(w3,&w3_array);CHKERRQ(ierr);
2961 
2962     /*
2963        Evaluate function at x1 + dx (here dx is a vector of perturbations)
2964     */
2965 
2966     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2967     ierr = (*f)(sctx,w3,w2,fctx);CHKERRQ(ierr);
2968     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2969     ierr = VecAXPY(w2,-1.0,w1);CHKERRQ(ierr);
2970 
2971     /*
2972        Loop over rows of vector, putting results into Jacobian matrix
2973     */
2974     ierr = VecGetArray(w2,&y);CHKERRQ(ierr);
2975     for (l=0; l<coloring->nrows[k]; l++) {
2976       row     = coloring->rows[k][l];
2977       col     = coloring->columnsforrow[k][l];
2978       y[row] *= vscale_array[vscaleforrow[k][l]];
2979       srow    = row + start;
2980       ierr    = MatSetValues_SeqAIJ(J,1,&srow,1,&col,y+row,INSERT_VALUES);CHKERRQ(ierr);
2981     }
2982     ierr = VecRestoreArray(w2,&y);CHKERRQ(ierr);
2983   }
2984   coloring->currentcolor = k;
2985 
2986   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2987   xx   = xx + start;
2988   ierr = VecRestoreArray(x1,&xx);CHKERRQ(ierr);
2989   ierr = MatAssemblyBegin(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2990   ierr = MatAssemblyEnd(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2991   PetscFunctionReturn(0);
2992 }
2993 
2994 /*
2995    Computes the number of nonzeros per row needed for preallocation when X and Y
2996    have different nonzero structure.
2997 */
2998 #undef __FUNCT__
2999 #define __FUNCT__ "MatAXPYGetPreallocation_SeqAIJ"
3000 PetscErrorCode MatAXPYGetPreallocation_SeqAIJ(Mat Y,Mat X,PetscInt *nnz)
3001 {
3002   PetscInt       i,m=Y->rmap->N;
3003   Mat_SeqAIJ     *x  = (Mat_SeqAIJ*)X->data;
3004   Mat_SeqAIJ     *y  = (Mat_SeqAIJ*)Y->data;
3005   const PetscInt *xi = x->i,*yi = y->i;
3006 
3007   PetscFunctionBegin;
3008   /* Set the number of nonzeros in the new matrix */
3009   for (i=0; i<m; i++) {
3010     PetscInt       j,k,nzx = xi[i+1] - xi[i],nzy = yi[i+1] - yi[i];
3011     const PetscInt *xj = x->j+xi[i],*yj = y->j+yi[i];
3012     nnz[i] = 0;
3013     for (j=0,k=0; j<nzx; j++) {                   /* Point in X */
3014       for (; k<nzy && yj[k]<xj[j]; k++) nnz[i]++; /* Catch up to X */
3015       if (k<nzy && yj[k]==xj[j]) k++;             /* Skip duplicate */
3016       nnz[i]++;
3017     }
3018     for (; k<nzy; k++) nnz[i]++;
3019   }
3020   PetscFunctionReturn(0);
3021 }
3022 
3023 #undef __FUNCT__
3024 #define __FUNCT__ "MatAXPY_SeqAIJ"
3025 PetscErrorCode MatAXPY_SeqAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
3026 {
3027   PetscErrorCode ierr;
3028   PetscInt       i;
3029   Mat_SeqAIJ     *x = (Mat_SeqAIJ*)X->data,*y = (Mat_SeqAIJ*)Y->data;
3030   PetscBLASInt   one=1,bnz;
3031 
3032   PetscFunctionBegin;
3033   ierr = PetscBLASIntCast(x->nz,&bnz);CHKERRQ(ierr);
3034   if (str == SAME_NONZERO_PATTERN) {
3035     PetscScalar alpha = a;
3036     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
3037     ierr = MatSeqAIJInvalidateDiagonal(Y);CHKERRQ(ierr);
3038   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
3039     if (y->xtoy && y->XtoY != X) {
3040       ierr = PetscFree(y->xtoy);CHKERRQ(ierr);
3041       ierr = MatDestroy(&y->XtoY);CHKERRQ(ierr);
3042     }
3043     if (!y->xtoy) { /* get xtoy */
3044       ierr    = MatAXPYGetxtoy_Private(X->rmap->n,x->i,x->j,NULL, y->i,y->j,NULL, &y->xtoy);CHKERRQ(ierr);
3045       y->XtoY = X;
3046       ierr    = PetscObjectReference((PetscObject)X);CHKERRQ(ierr);
3047     }
3048     for (i=0; i<x->nz; i++) y->a[y->xtoy[i]] += a*(x->a[i]);
3049     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);
3050   } else {
3051     Mat      B;
3052     PetscInt *nnz;
3053     ierr = PetscMalloc(Y->rmap->N*sizeof(PetscInt),&nnz);CHKERRQ(ierr);
3054     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
3055     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
3056     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
3057     ierr = MatSetBlockSizes(B,Y->rmap->bs,Y->cmap->bs);CHKERRQ(ierr);
3058     ierr = MatSetType(B,(MatType) ((PetscObject)Y)->type_name);CHKERRQ(ierr);
3059     ierr = MatAXPYGetPreallocation_SeqAIJ(Y,X,nnz);CHKERRQ(ierr);
3060     ierr = MatSeqAIJSetPreallocation(B,0,nnz);CHKERRQ(ierr);
3061     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
3062     ierr = MatHeaderReplace(Y,B);CHKERRQ(ierr);
3063     ierr = PetscFree(nnz);CHKERRQ(ierr);
3064   }
3065   PetscFunctionReturn(0);
3066 }
3067 
3068 #undef __FUNCT__
3069 #define __FUNCT__ "MatConjugate_SeqAIJ"
3070 PetscErrorCode  MatConjugate_SeqAIJ(Mat mat)
3071 {
3072 #if defined(PETSC_USE_COMPLEX)
3073   Mat_SeqAIJ  *aij = (Mat_SeqAIJ*)mat->data;
3074   PetscInt    i,nz;
3075   PetscScalar *a;
3076 
3077   PetscFunctionBegin;
3078   nz = aij->nz;
3079   a  = aij->a;
3080   for (i=0; i<nz; i++) a[i] = PetscConj(a[i]);
3081 #else
3082   PetscFunctionBegin;
3083 #endif
3084   PetscFunctionReturn(0);
3085 }
3086 
3087 #undef __FUNCT__
3088 #define __FUNCT__ "MatGetRowMaxAbs_SeqAIJ"
3089 PetscErrorCode MatGetRowMaxAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
3090 {
3091   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3092   PetscErrorCode ierr;
3093   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
3094   PetscReal      atmp;
3095   PetscScalar    *x;
3096   MatScalar      *aa;
3097 
3098   PetscFunctionBegin;
3099   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3100   aa = a->a;
3101   ai = a->i;
3102   aj = a->j;
3103 
3104   ierr = VecSet(v,0.0);CHKERRQ(ierr);
3105   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
3106   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
3107   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
3108   for (i=0; i<m; i++) {
3109     ncols = ai[1] - ai[0]; ai++;
3110     x[i]  = 0.0;
3111     for (j=0; j<ncols; j++) {
3112       atmp = PetscAbsScalar(*aa);
3113       if (PetscAbsScalar(x[i]) < atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
3114       aa++; aj++;
3115     }
3116   }
3117   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
3118   PetscFunctionReturn(0);
3119 }
3120 
3121 #undef __FUNCT__
3122 #define __FUNCT__ "MatGetRowMax_SeqAIJ"
3123 PetscErrorCode MatGetRowMax_SeqAIJ(Mat A,Vec v,PetscInt idx[])
3124 {
3125   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3126   PetscErrorCode ierr;
3127   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
3128   PetscScalar    *x;
3129   MatScalar      *aa;
3130 
3131   PetscFunctionBegin;
3132   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3133   aa = a->a;
3134   ai = a->i;
3135   aj = a->j;
3136 
3137   ierr = VecSet(v,0.0);CHKERRQ(ierr);
3138   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
3139   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
3140   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
3141   for (i=0; i<m; i++) {
3142     ncols = ai[1] - ai[0]; ai++;
3143     if (ncols == A->cmap->n) { /* row is dense */
3144       x[i] = *aa; if (idx) idx[i] = 0;
3145     } else {  /* row is sparse so already KNOW maximum is 0.0 or higher */
3146       x[i] = 0.0;
3147       if (idx) {
3148         idx[i] = 0; /* in case ncols is zero */
3149         for (j=0;j<ncols;j++) { /* find first implicit 0.0 in the row */
3150           if (aj[j] > j) {
3151             idx[i] = j;
3152             break;
3153           }
3154         }
3155       }
3156     }
3157     for (j=0; j<ncols; j++) {
3158       if (PetscRealPart(x[i]) < PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
3159       aa++; aj++;
3160     }
3161   }
3162   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
3163   PetscFunctionReturn(0);
3164 }
3165 
3166 #undef __FUNCT__
3167 #define __FUNCT__ "MatGetRowMinAbs_SeqAIJ"
3168 PetscErrorCode MatGetRowMinAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
3169 {
3170   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3171   PetscErrorCode ierr;
3172   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
3173   PetscReal      atmp;
3174   PetscScalar    *x;
3175   MatScalar      *aa;
3176 
3177   PetscFunctionBegin;
3178   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3179   aa = a->a;
3180   ai = a->i;
3181   aj = a->j;
3182 
3183   ierr = VecSet(v,0.0);CHKERRQ(ierr);
3184   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
3185   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
3186   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);
3187   for (i=0; i<m; i++) {
3188     ncols = ai[1] - ai[0]; ai++;
3189     if (ncols) {
3190       /* Get first nonzero */
3191       for (j = 0; j < ncols; j++) {
3192         atmp = PetscAbsScalar(aa[j]);
3193         if (atmp > 1.0e-12) {
3194           x[i] = atmp;
3195           if (idx) idx[i] = aj[j];
3196           break;
3197         }
3198       }
3199       if (j == ncols) {x[i] = PetscAbsScalar(*aa); if (idx) idx[i] = *aj;}
3200     } else {
3201       x[i] = 0.0; if (idx) idx[i] = 0;
3202     }
3203     for (j = 0; j < ncols; j++) {
3204       atmp = PetscAbsScalar(*aa);
3205       if (atmp > 1.0e-12 && PetscAbsScalar(x[i]) > atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
3206       aa++; aj++;
3207     }
3208   }
3209   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
3210   PetscFunctionReturn(0);
3211 }
3212 
3213 #undef __FUNCT__
3214 #define __FUNCT__ "MatGetRowMin_SeqAIJ"
3215 PetscErrorCode MatGetRowMin_SeqAIJ(Mat A,Vec v,PetscInt idx[])
3216 {
3217   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3218   PetscErrorCode ierr;
3219   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
3220   PetscScalar    *x;
3221   MatScalar      *aa;
3222 
3223   PetscFunctionBegin;
3224   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3225   aa = a->a;
3226   ai = a->i;
3227   aj = a->j;
3228 
3229   ierr = VecSet(v,0.0);CHKERRQ(ierr);
3230   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
3231   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
3232   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
3233   for (i=0; i<m; i++) {
3234     ncols = ai[1] - ai[0]; ai++;
3235     if (ncols == A->cmap->n) { /* row is dense */
3236       x[i] = *aa; if (idx) idx[i] = 0;
3237     } else {  /* row is sparse so already KNOW minimum is 0.0 or lower */
3238       x[i] = 0.0;
3239       if (idx) {   /* find first implicit 0.0 in the row */
3240         idx[i] = 0; /* in case ncols is zero */
3241         for (j=0; j<ncols; j++) {
3242           if (aj[j] > j) {
3243             idx[i] = j;
3244             break;
3245           }
3246         }
3247       }
3248     }
3249     for (j=0; j<ncols; j++) {
3250       if (PetscRealPart(x[i]) > PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
3251       aa++; aj++;
3252     }
3253   }
3254   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
3255   PetscFunctionReturn(0);
3256 }
3257 
3258 #include <petscblaslapack.h>
3259 #include <petsc-private/kernels/blockinvert.h>
3260 
3261 #undef __FUNCT__
3262 #define __FUNCT__ "MatInvertBlockDiagonal_SeqAIJ"
3263 PetscErrorCode  MatInvertBlockDiagonal_SeqAIJ(Mat A,const PetscScalar **values)
3264 {
3265   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
3266   PetscErrorCode ierr;
3267   PetscInt       i,bs = A->rmap->bs,mbs = A->rmap->n/A->rmap->bs,ipvt[5],bs2 = bs*bs,*v_pivots,ij[7],*IJ,j;
3268   MatScalar      *diag,work[25],*v_work;
3269   PetscReal      shift = 0.0;
3270 
3271   PetscFunctionBegin;
3272   if (a->ibdiagvalid) {
3273     if (values) *values = a->ibdiag;
3274     PetscFunctionReturn(0);
3275   }
3276   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
3277   if (!a->ibdiag) {
3278     ierr = PetscMalloc(bs2*mbs*sizeof(PetscScalar),&a->ibdiag);CHKERRQ(ierr);
3279     ierr = PetscLogObjectMemory((PetscObject)A,bs2*mbs*sizeof(PetscScalar));CHKERRQ(ierr);
3280   }
3281   diag = a->ibdiag;
3282   if (values) *values = a->ibdiag;
3283   /* factor and invert each block */
3284   switch (bs) {
3285   case 1:
3286     for (i=0; i<mbs; i++) {
3287       ierr    = MatGetValues(A,1,&i,1,&i,diag+i);CHKERRQ(ierr);
3288       diag[i] = (PetscScalar)1.0 / (diag[i] + shift);
3289     }
3290     break;
3291   case 2:
3292     for (i=0; i<mbs; i++) {
3293       ij[0] = 2*i; ij[1] = 2*i + 1;
3294       ierr  = MatGetValues(A,2,ij,2,ij,diag);CHKERRQ(ierr);
3295       ierr  = PetscKernel_A_gets_inverse_A_2(diag,shift);CHKERRQ(ierr);
3296       ierr  = PetscKernel_A_gets_transpose_A_2(diag);CHKERRQ(ierr);
3297       diag += 4;
3298     }
3299     break;
3300   case 3:
3301     for (i=0; i<mbs; i++) {
3302       ij[0] = 3*i; ij[1] = 3*i + 1; ij[2] = 3*i + 2;
3303       ierr  = MatGetValues(A,3,ij,3,ij,diag);CHKERRQ(ierr);
3304       ierr  = PetscKernel_A_gets_inverse_A_3(diag,shift);CHKERRQ(ierr);
3305       ierr  = PetscKernel_A_gets_transpose_A_3(diag);CHKERRQ(ierr);
3306       diag += 9;
3307     }
3308     break;
3309   case 4:
3310     for (i=0; i<mbs; i++) {
3311       ij[0] = 4*i; ij[1] = 4*i + 1; ij[2] = 4*i + 2; ij[3] = 4*i + 3;
3312       ierr  = MatGetValues(A,4,ij,4,ij,diag);CHKERRQ(ierr);
3313       ierr  = PetscKernel_A_gets_inverse_A_4(diag,shift);CHKERRQ(ierr);
3314       ierr  = PetscKernel_A_gets_transpose_A_4(diag);CHKERRQ(ierr);
3315       diag += 16;
3316     }
3317     break;
3318   case 5:
3319     for (i=0; i<mbs; i++) {
3320       ij[0] = 5*i; ij[1] = 5*i + 1; ij[2] = 5*i + 2; ij[3] = 5*i + 3; ij[4] = 5*i + 4;
3321       ierr  = MatGetValues(A,5,ij,5,ij,diag);CHKERRQ(ierr);
3322       ierr  = PetscKernel_A_gets_inverse_A_5(diag,ipvt,work,shift);CHKERRQ(ierr);
3323       ierr  = PetscKernel_A_gets_transpose_A_5(diag);CHKERRQ(ierr);
3324       diag += 25;
3325     }
3326     break;
3327   case 6:
3328     for (i=0; i<mbs; i++) {
3329       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;
3330       ierr  = MatGetValues(A,6,ij,6,ij,diag);CHKERRQ(ierr);
3331       ierr  = PetscKernel_A_gets_inverse_A_6(diag,shift);CHKERRQ(ierr);
3332       ierr  = PetscKernel_A_gets_transpose_A_6(diag);CHKERRQ(ierr);
3333       diag += 36;
3334     }
3335     break;
3336   case 7:
3337     for (i=0; i<mbs; i++) {
3338       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;
3339       ierr  = MatGetValues(A,7,ij,7,ij,diag);CHKERRQ(ierr);
3340       ierr  = PetscKernel_A_gets_inverse_A_7(diag,shift);CHKERRQ(ierr);
3341       ierr  = PetscKernel_A_gets_transpose_A_7(diag);CHKERRQ(ierr);
3342       diag += 49;
3343     }
3344     break;
3345   default:
3346     ierr = PetscMalloc3(bs,MatScalar,&v_work,bs,PetscInt,&v_pivots,bs,PetscInt,&IJ);CHKERRQ(ierr);
3347     for (i=0; i<mbs; i++) {
3348       for (j=0; j<bs; j++) {
3349         IJ[j] = bs*i + j;
3350       }
3351       ierr  = MatGetValues(A,bs,IJ,bs,IJ,diag);CHKERRQ(ierr);
3352       ierr  = PetscKernel_A_gets_inverse_A(bs,diag,v_pivots,v_work);CHKERRQ(ierr);
3353       ierr  = PetscKernel_A_gets_transpose_A_N(diag,bs);CHKERRQ(ierr);
3354       diag += bs2;
3355     }
3356     ierr = PetscFree3(v_work,v_pivots,IJ);CHKERRQ(ierr);
3357   }
3358   a->ibdiagvalid = PETSC_TRUE;
3359   PetscFunctionReturn(0);
3360 }
3361 
3362 #undef __FUNCT__
3363 #define __FUNCT__ "MatSetRandom_SeqAIJ"
3364 static PetscErrorCode  MatSetRandom_SeqAIJ(Mat x,PetscRandom rctx)
3365 {
3366   PetscErrorCode ierr;
3367   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)x->data;
3368   PetscScalar    a;
3369   PetscInt       m,n,i,j,col;
3370 
3371   PetscFunctionBegin;
3372   if (!x->assembled) {
3373     ierr = MatGetSize(x,&m,&n);CHKERRQ(ierr);
3374     for (i=0; i<m; i++) {
3375       for (j=0; j<aij->imax[i]; j++) {
3376         ierr = PetscRandomGetValue(rctx,&a);CHKERRQ(ierr);
3377         col  = (PetscInt)(n*PetscRealPart(a));
3378         ierr = MatSetValues(x,1,&i,1,&col,&a,ADD_VALUES);CHKERRQ(ierr);
3379       }
3380     }
3381   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet coded");
3382   ierr = MatAssemblyBegin(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3383   ierr = MatAssemblyEnd(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3384   PetscFunctionReturn(0);
3385 }
3386 
3387 extern PetscErrorCode  MatFDColoringApply_AIJ(Mat,MatFDColoring,Vec,MatStructure*,void*);
3388 /* -------------------------------------------------------------------*/
3389 static struct _MatOps MatOps_Values = { MatSetValues_SeqAIJ,
3390                                         MatGetRow_SeqAIJ,
3391                                         MatRestoreRow_SeqAIJ,
3392                                         MatMult_SeqAIJ,
3393                                 /*  4*/ MatMultAdd_SeqAIJ,
3394                                         MatMultTranspose_SeqAIJ,
3395                                         MatMultTransposeAdd_SeqAIJ,
3396                                         0,
3397                                         0,
3398                                         0,
3399                                 /* 10*/ 0,
3400                                         MatLUFactor_SeqAIJ,
3401                                         0,
3402                                         MatSOR_SeqAIJ,
3403                                         MatTranspose_SeqAIJ,
3404                                 /*1 5*/ MatGetInfo_SeqAIJ,
3405                                         MatEqual_SeqAIJ,
3406                                         MatGetDiagonal_SeqAIJ,
3407                                         MatDiagonalScale_SeqAIJ,
3408                                         MatNorm_SeqAIJ,
3409                                 /* 20*/ 0,
3410                                         MatAssemblyEnd_SeqAIJ,
3411                                         MatSetOption_SeqAIJ,
3412                                         MatZeroEntries_SeqAIJ,
3413                                 /* 24*/ MatZeroRows_SeqAIJ,
3414                                         0,
3415                                         0,
3416                                         0,
3417                                         0,
3418                                 /* 29*/ MatSetUp_SeqAIJ,
3419                                         0,
3420                                         0,
3421                                         0,
3422                                         0,
3423                                 /* 34*/ MatDuplicate_SeqAIJ,
3424                                         0,
3425                                         0,
3426                                         MatILUFactor_SeqAIJ,
3427                                         0,
3428                                 /* 39*/ MatAXPY_SeqAIJ,
3429                                         MatGetSubMatrices_SeqAIJ,
3430                                         MatIncreaseOverlap_SeqAIJ,
3431                                         MatGetValues_SeqAIJ,
3432                                         MatCopy_SeqAIJ,
3433                                 /* 44*/ MatGetRowMax_SeqAIJ,
3434                                         MatScale_SeqAIJ,
3435                                         0,
3436                                         MatDiagonalSet_SeqAIJ,
3437                                         MatZeroRowsColumns_SeqAIJ,
3438                                 /* 49*/ MatSetRandom_SeqAIJ,
3439                                         MatGetRowIJ_SeqAIJ,
3440                                         MatRestoreRowIJ_SeqAIJ,
3441                                         MatGetColumnIJ_SeqAIJ,
3442                                         MatRestoreColumnIJ_SeqAIJ,
3443                                 /* 54*/ MatFDColoringCreate_SeqAIJ,
3444                                         0,
3445                                         0,
3446                                         MatPermute_SeqAIJ,
3447                                         0,
3448                                 /* 59*/ 0,
3449                                         MatDestroy_SeqAIJ,
3450                                         MatView_SeqAIJ,
3451                                         0,
3452                                         MatMatMatMult_SeqAIJ_SeqAIJ_SeqAIJ,
3453                                 /* 64*/ MatMatMatMultSymbolic_SeqAIJ_SeqAIJ_SeqAIJ,
3454                                         MatMatMatMultNumeric_SeqAIJ_SeqAIJ_SeqAIJ,
3455                                         0,
3456                                         0,
3457                                         0,
3458                                 /* 69*/ MatGetRowMaxAbs_SeqAIJ,
3459                                         MatGetRowMinAbs_SeqAIJ,
3460                                         0,
3461                                         MatSetColoring_SeqAIJ,
3462                                         0,
3463                                 /* 74*/ MatSetValuesAdifor_SeqAIJ,
3464                                         MatFDColoringApply_AIJ,
3465                                         0,
3466                                         0,
3467                                         0,
3468                                 /* 79*/ MatFindZeroDiagonals_SeqAIJ,
3469                                         0,
3470                                         0,
3471                                         0,
3472                                         MatLoad_SeqAIJ,
3473                                 /* 84*/ MatIsSymmetric_SeqAIJ,
3474                                         MatIsHermitian_SeqAIJ,
3475                                         0,
3476                                         0,
3477                                         0,
3478                                 /* 89*/ MatMatMult_SeqAIJ_SeqAIJ,
3479                                         MatMatMultSymbolic_SeqAIJ_SeqAIJ,
3480                                         MatMatMultNumeric_SeqAIJ_SeqAIJ,
3481                                         MatPtAP_SeqAIJ_SeqAIJ,
3482                                         MatPtAPSymbolic_SeqAIJ_SeqAIJ_DenseAxpy,
3483                                 /* 94*/ MatPtAPNumeric_SeqAIJ_SeqAIJ,
3484                                         MatMatTransposeMult_SeqAIJ_SeqAIJ,
3485                                         MatMatTransposeMultSymbolic_SeqAIJ_SeqAIJ,
3486                                         MatMatTransposeMultNumeric_SeqAIJ_SeqAIJ,
3487                                         0,
3488                                 /* 99*/ 0,
3489                                         0,
3490                                         0,
3491                                         MatConjugate_SeqAIJ,
3492                                         0,
3493                                 /*104*/ MatSetValuesRow_SeqAIJ,
3494                                         MatRealPart_SeqAIJ,
3495                                         MatImaginaryPart_SeqAIJ,
3496                                         0,
3497                                         0,
3498                                 /*109*/ MatMatSolve_SeqAIJ,
3499                                         0,
3500                                         MatGetRowMin_SeqAIJ,
3501                                         0,
3502                                         MatMissingDiagonal_SeqAIJ,
3503                                 /*114*/ 0,
3504                                         0,
3505                                         0,
3506                                         0,
3507                                         0,
3508                                 /*119*/ 0,
3509                                         0,
3510                                         0,
3511                                         0,
3512                                         MatGetMultiProcBlock_SeqAIJ,
3513                                 /*124*/ MatFindNonzeroRows_SeqAIJ,
3514                                         MatGetColumnNorms_SeqAIJ,
3515                                         MatInvertBlockDiagonal_SeqAIJ,
3516                                         0,
3517                                         0,
3518                                 /*129*/ 0,
3519                                         MatTransposeMatMult_SeqAIJ_SeqAIJ,
3520                                         MatTransposeMatMultSymbolic_SeqAIJ_SeqAIJ,
3521                                         MatTransposeMatMultNumeric_SeqAIJ_SeqAIJ,
3522                                         MatTransposeColoringCreate_SeqAIJ,
3523                                 /*134*/ MatTransColoringApplySpToDen_SeqAIJ,
3524                                         MatTransColoringApplyDenToSp_SeqAIJ,
3525                                         MatRARt_SeqAIJ_SeqAIJ,
3526                                         MatRARtSymbolic_SeqAIJ_SeqAIJ,
3527                                         MatRARtNumeric_SeqAIJ_SeqAIJ,
3528                                  /*139*/0,
3529                                         0
3530 };
3531 
3532 #undef __FUNCT__
3533 #define __FUNCT__ "MatSeqAIJSetColumnIndices_SeqAIJ"
3534 PetscErrorCode  MatSeqAIJSetColumnIndices_SeqAIJ(Mat mat,PetscInt *indices)
3535 {
3536   Mat_SeqAIJ *aij = (Mat_SeqAIJ*)mat->data;
3537   PetscInt   i,nz,n;
3538 
3539   PetscFunctionBegin;
3540   nz = aij->maxnz;
3541   n  = mat->rmap->n;
3542   for (i=0; i<nz; i++) {
3543     aij->j[i] = indices[i];
3544   }
3545   aij->nz = nz;
3546   for (i=0; i<n; i++) {
3547     aij->ilen[i] = aij->imax[i];
3548   }
3549   PetscFunctionReturn(0);
3550 }
3551 
3552 #undef __FUNCT__
3553 #define __FUNCT__ "MatSeqAIJSetColumnIndices"
3554 /*@
3555     MatSeqAIJSetColumnIndices - Set the column indices for all the rows
3556        in the matrix.
3557 
3558   Input Parameters:
3559 +  mat - the SeqAIJ matrix
3560 -  indices - the column indices
3561 
3562   Level: advanced
3563 
3564   Notes:
3565     This can be called if you have precomputed the nonzero structure of the
3566   matrix and want to provide it to the matrix object to improve the performance
3567   of the MatSetValues() operation.
3568 
3569     You MUST have set the correct numbers of nonzeros per row in the call to
3570   MatCreateSeqAIJ(), and the columns indices MUST be sorted.
3571 
3572     MUST be called before any calls to MatSetValues();
3573 
3574     The indices should start with zero, not one.
3575 
3576 @*/
3577 PetscErrorCode  MatSeqAIJSetColumnIndices(Mat mat,PetscInt *indices)
3578 {
3579   PetscErrorCode ierr;
3580 
3581   PetscFunctionBegin;
3582   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3583   PetscValidPointer(indices,2);
3584   ierr = PetscUseMethod(mat,"MatSeqAIJSetColumnIndices_C",(Mat,PetscInt*),(mat,indices));CHKERRQ(ierr);
3585   PetscFunctionReturn(0);
3586 }
3587 
3588 /* ----------------------------------------------------------------------------------------*/
3589 
3590 #undef __FUNCT__
3591 #define __FUNCT__ "MatStoreValues_SeqAIJ"
3592 PetscErrorCode  MatStoreValues_SeqAIJ(Mat mat)
3593 {
3594   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3595   PetscErrorCode ierr;
3596   size_t         nz = aij->i[mat->rmap->n];
3597 
3598   PetscFunctionBegin;
3599   if (aij->nonew != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3600 
3601   /* allocate space for values if not already there */
3602   if (!aij->saved_values) {
3603     ierr = PetscMalloc((nz+1)*sizeof(PetscScalar),&aij->saved_values);CHKERRQ(ierr);
3604     ierr = PetscLogObjectMemory((PetscObject)mat,(nz+1)*sizeof(PetscScalar));CHKERRQ(ierr);
3605   }
3606 
3607   /* copy values over */
3608   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3609   PetscFunctionReturn(0);
3610 }
3611 
3612 #undef __FUNCT__
3613 #define __FUNCT__ "MatStoreValues"
3614 /*@
3615     MatStoreValues - Stashes a copy of the matrix values; this allows, for
3616        example, reuse of the linear part of a Jacobian, while recomputing the
3617        nonlinear portion.
3618 
3619    Collect on Mat
3620 
3621   Input Parameters:
3622 .  mat - the matrix (currently only AIJ matrices support this option)
3623 
3624   Level: advanced
3625 
3626   Common Usage, with SNESSolve():
3627 $    Create Jacobian matrix
3628 $    Set linear terms into matrix
3629 $    Apply boundary conditions to matrix, at this time matrix must have
3630 $      final nonzero structure (i.e. setting the nonlinear terms and applying
3631 $      boundary conditions again will not change the nonzero structure
3632 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3633 $    ierr = MatStoreValues(mat);
3634 $    Call SNESSetJacobian() with matrix
3635 $    In your Jacobian routine
3636 $      ierr = MatRetrieveValues(mat);
3637 $      Set nonlinear terms in matrix
3638 
3639   Common Usage without SNESSolve(), i.e. when you handle nonlinear solve yourself:
3640 $    // build linear portion of Jacobian
3641 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
3642 $    ierr = MatStoreValues(mat);
3643 $    loop over nonlinear iterations
3644 $       ierr = MatRetrieveValues(mat);
3645 $       // call MatSetValues(mat,...) to set nonliner portion of Jacobian
3646 $       // call MatAssemblyBegin/End() on matrix
3647 $       Solve linear system with Jacobian
3648 $    endloop
3649 
3650   Notes:
3651     Matrix must already be assemblied before calling this routine
3652     Must set the matrix option MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE); before
3653     calling this routine.
3654 
3655     When this is called multiple times it overwrites the previous set of stored values
3656     and does not allocated additional space.
3657 
3658 .seealso: MatRetrieveValues()
3659 
3660 @*/
3661 PetscErrorCode  MatStoreValues(Mat mat)
3662 {
3663   PetscErrorCode ierr;
3664 
3665   PetscFunctionBegin;
3666   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3667   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3668   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3669   ierr = PetscUseMethod(mat,"MatStoreValues_C",(Mat),(mat));CHKERRQ(ierr);
3670   PetscFunctionReturn(0);
3671 }
3672 
3673 #undef __FUNCT__
3674 #define __FUNCT__ "MatRetrieveValues_SeqAIJ"
3675 PetscErrorCode  MatRetrieveValues_SeqAIJ(Mat mat)
3676 {
3677   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*)mat->data;
3678   PetscErrorCode ierr;
3679   PetscInt       nz = aij->i[mat->rmap->n];
3680 
3681   PetscFunctionBegin;
3682   if (aij->nonew != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
3683   if (!aij->saved_values) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
3684   /* copy values over */
3685   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
3686   PetscFunctionReturn(0);
3687 }
3688 
3689 #undef __FUNCT__
3690 #define __FUNCT__ "MatRetrieveValues"
3691 /*@
3692     MatRetrieveValues - Retrieves the copy of the matrix values; this allows, for
3693        example, reuse of the linear part of a Jacobian, while recomputing the
3694        nonlinear portion.
3695 
3696    Collect on Mat
3697 
3698   Input Parameters:
3699 .  mat - the matrix (currently on AIJ matrices support this option)
3700 
3701   Level: advanced
3702 
3703 .seealso: MatStoreValues()
3704 
3705 @*/
3706 PetscErrorCode  MatRetrieveValues(Mat mat)
3707 {
3708   PetscErrorCode ierr;
3709 
3710   PetscFunctionBegin;
3711   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
3712   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
3713   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3714   ierr = PetscUseMethod(mat,"MatRetrieveValues_C",(Mat),(mat));CHKERRQ(ierr);
3715   PetscFunctionReturn(0);
3716 }
3717 
3718 
3719 /* --------------------------------------------------------------------------------*/
3720 #undef __FUNCT__
3721 #define __FUNCT__ "MatCreateSeqAIJ"
3722 /*@C
3723    MatCreateSeqAIJ - Creates a sparse matrix in AIJ (compressed row) format
3724    (the default parallel PETSc format).  For good matrix assembly performance
3725    the user should preallocate the matrix storage by setting the parameter nz
3726    (or the array nnz).  By setting these parameters accurately, performance
3727    during matrix assembly can be increased by more than a factor of 50.
3728 
3729    Collective on MPI_Comm
3730 
3731    Input Parameters:
3732 +  comm - MPI communicator, set to PETSC_COMM_SELF
3733 .  m - number of rows
3734 .  n - number of columns
3735 .  nz - number of nonzeros per row (same for all rows)
3736 -  nnz - array containing the number of nonzeros in the various rows
3737          (possibly different for each row) or NULL
3738 
3739    Output Parameter:
3740 .  A - the matrix
3741 
3742    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3743    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3744    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3745 
3746    Notes:
3747    If nnz is given then nz is ignored
3748 
3749    The AIJ format (also called the Yale sparse matrix format or
3750    compressed row storage), is fully compatible with standard Fortran 77
3751    storage.  That is, the stored row and column indices can begin at
3752    either one (as in Fortran) or zero.  See the users' manual for details.
3753 
3754    Specify the preallocated storage with either nz or nnz (not both).
3755    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3756    allocation.  For large problems you MUST preallocate memory or you
3757    will get TERRIBLE performance, see the users' manual chapter on matrices.
3758 
3759    By default, this format uses inodes (identical nodes) when possible, to
3760    improve numerical efficiency of matrix-vector products and solves. We
3761    search for consecutive rows with the same nonzero structure, thereby
3762    reusing matrix information to achieve increased efficiency.
3763 
3764    Options Database Keys:
3765 +  -mat_no_inode  - Do not use inodes
3766 -  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3767 
3768    Level: intermediate
3769 
3770 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays()
3771 
3772 @*/
3773 PetscErrorCode  MatCreateSeqAIJ(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
3774 {
3775   PetscErrorCode ierr;
3776 
3777   PetscFunctionBegin;
3778   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3779   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
3780   ierr = MatSetType(*A,MATSEQAIJ);CHKERRQ(ierr);
3781   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*A,nz,nnz);CHKERRQ(ierr);
3782   PetscFunctionReturn(0);
3783 }
3784 
3785 #undef __FUNCT__
3786 #define __FUNCT__ "MatSeqAIJSetPreallocation"
3787 /*@C
3788    MatSeqAIJSetPreallocation - For good matrix assembly performance
3789    the user should preallocate the matrix storage by setting the parameter nz
3790    (or the array nnz).  By setting these parameters accurately, performance
3791    during matrix assembly can be increased by more than a factor of 50.
3792 
3793    Collective on MPI_Comm
3794 
3795    Input Parameters:
3796 +  B - The matrix-free
3797 .  nz - number of nonzeros per row (same for all rows)
3798 -  nnz - array containing the number of nonzeros in the various rows
3799          (possibly different for each row) or NULL
3800 
3801    Notes:
3802      If nnz is given then nz is ignored
3803 
3804     The AIJ format (also called the Yale sparse matrix format or
3805    compressed row storage), is fully compatible with standard Fortran 77
3806    storage.  That is, the stored row and column indices can begin at
3807    either one (as in Fortran) or zero.  See the users' manual for details.
3808 
3809    Specify the preallocated storage with either nz or nnz (not both).
3810    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3811    allocation.  For large problems you MUST preallocate memory or you
3812    will get TERRIBLE performance, see the users' manual chapter on matrices.
3813 
3814    You can call MatGetInfo() to get information on how effective the preallocation was;
3815    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3816    You can also run with the option -info and look for messages with the string
3817    malloc in them to see if additional memory allocation was needed.
3818 
3819    Developers: Use nz of MAT_SKIP_ALLOCATION to not allocate any space for the matrix
3820    entries or columns indices
3821 
3822    By default, this format uses inodes (identical nodes) when possible, to
3823    improve numerical efficiency of matrix-vector products and solves. We
3824    search for consecutive rows with the same nonzero structure, thereby
3825    reusing matrix information to achieve increased efficiency.
3826 
3827    Options Database Keys:
3828 +  -mat_no_inode  - Do not use inodes
3829 .  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
3830 -  -mat_aij_oneindex - Internally use indexing starting at 1
3831         rather than 0.  Note that when calling MatSetValues(),
3832         the user still MUST index entries starting at 0!
3833 
3834    Level: intermediate
3835 
3836 .seealso: MatCreate(), MatCreateAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays(), MatGetInfo()
3837 
3838 @*/
3839 PetscErrorCode  MatSeqAIJSetPreallocation(Mat B,PetscInt nz,const PetscInt nnz[])
3840 {
3841   PetscErrorCode ierr;
3842 
3843   PetscFunctionBegin;
3844   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3845   PetscValidType(B,1);
3846   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocation_C",(Mat,PetscInt,const PetscInt[]),(B,nz,nnz));CHKERRQ(ierr);
3847   PetscFunctionReturn(0);
3848 }
3849 
3850 #undef __FUNCT__
3851 #define __FUNCT__ "MatSeqAIJSetPreallocation_SeqAIJ"
3852 PetscErrorCode  MatSeqAIJSetPreallocation_SeqAIJ(Mat B,PetscInt nz,const PetscInt *nnz)
3853 {
3854   Mat_SeqAIJ     *b;
3855   PetscBool      skipallocation = PETSC_FALSE,realalloc = PETSC_FALSE;
3856   PetscErrorCode ierr;
3857   PetscInt       i;
3858 
3859   PetscFunctionBegin;
3860   if (nz >= 0 || nnz) realalloc = PETSC_TRUE;
3861   if (nz == MAT_SKIP_ALLOCATION) {
3862     skipallocation = PETSC_TRUE;
3863     nz             = 0;
3864   }
3865 
3866   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3867   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3868 
3869   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
3870   if (nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %d",nz);
3871   if (nnz) {
3872     for (i=0; i<B->rmap->n; i++) {
3873       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]);
3874       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);
3875     }
3876   }
3877 
3878   B->preallocated = PETSC_TRUE;
3879 
3880   b = (Mat_SeqAIJ*)B->data;
3881 
3882   if (!skipallocation) {
3883     if (!b->imax) {
3884       ierr = PetscMalloc2(B->rmap->n,PetscInt,&b->imax,B->rmap->n,PetscInt,&b->ilen);CHKERRQ(ierr);
3885       ierr = PetscLogObjectMemory((PetscObject)B,2*B->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
3886     }
3887     if (!nnz) {
3888       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 10;
3889       else if (nz < 0) nz = 1;
3890       for (i=0; i<B->rmap->n; i++) b->imax[i] = nz;
3891       nz = nz*B->rmap->n;
3892     } else {
3893       nz = 0;
3894       for (i=0; i<B->rmap->n; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
3895     }
3896     /* b->ilen will count nonzeros in each row so far. */
3897     for (i=0; i<B->rmap->n; i++) b->ilen[i] = 0;
3898 
3899     /* allocate the matrix space */
3900     ierr    = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
3901     ierr    = PetscMalloc3(nz,PetscScalar,&b->a,nz,PetscInt,&b->j,B->rmap->n+1,PetscInt,&b->i);CHKERRQ(ierr);
3902     ierr    = PetscLogObjectMemory((PetscObject)B,(B->rmap->n+1)*sizeof(PetscInt)+nz*(sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
3903     b->i[0] = 0;
3904     for (i=1; i<B->rmap->n+1; i++) {
3905       b->i[i] = b->i[i-1] + b->imax[i-1];
3906     }
3907     b->singlemalloc = PETSC_TRUE;
3908     b->free_a       = PETSC_TRUE;
3909     b->free_ij      = PETSC_TRUE;
3910 #if defined(PETSC_THREADCOMM_ACTIVE)
3911     ierr = MatZeroEntries_SeqAIJ(B);CHKERRQ(ierr);
3912 #endif
3913   } else {
3914     b->free_a  = PETSC_FALSE;
3915     b->free_ij = PETSC_FALSE;
3916   }
3917 
3918   b->nz               = 0;
3919   b->maxnz            = nz;
3920   B->info.nz_unneeded = (double)b->maxnz;
3921   if (realalloc) {
3922     ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3923   }
3924   PetscFunctionReturn(0);
3925 }
3926 
3927 #undef  __FUNCT__
3928 #define __FUNCT__  "MatSeqAIJSetPreallocationCSR"
3929 /*@
3930    MatSeqAIJSetPreallocationCSR - Allocates memory for a sparse sequential matrix in AIJ format.
3931 
3932    Input Parameters:
3933 +  B - the matrix
3934 .  i - the indices into j for the start of each row (starts with zero)
3935 .  j - the column indices for each row (starts with zero) these must be sorted for each row
3936 -  v - optional values in the matrix
3937 
3938    Level: developer
3939 
3940    The i,j,v values are COPIED with this routine; to avoid the copy use MatCreateSeqAIJWithArrays()
3941 
3942 .keywords: matrix, aij, compressed row, sparse, sequential
3943 
3944 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatSeqAIJSetPreallocation(), MatCreateSeqAIJ(), SeqAIJ
3945 @*/
3946 PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat B,const PetscInt i[],const PetscInt j[],const PetscScalar v[])
3947 {
3948   PetscErrorCode ierr;
3949 
3950   PetscFunctionBegin;
3951   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3952   PetscValidType(B,1);
3953   ierr = PetscTryMethod(B,"MatSeqAIJSetPreallocationCSR_C",(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,i,j,v));CHKERRQ(ierr);
3954   PetscFunctionReturn(0);
3955 }
3956 
3957 #undef  __FUNCT__
3958 #define __FUNCT__  "MatSeqAIJSetPreallocationCSR_SeqAIJ"
3959 PetscErrorCode  MatSeqAIJSetPreallocationCSR_SeqAIJ(Mat B,const PetscInt Ii[],const PetscInt J[],const PetscScalar v[])
3960 {
3961   PetscInt       i;
3962   PetscInt       m,n;
3963   PetscInt       nz;
3964   PetscInt       *nnz, nz_max = 0;
3965   PetscScalar    *values;
3966   PetscErrorCode ierr;
3967 
3968   PetscFunctionBegin;
3969   if (Ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Ii[0] must be 0 it is %D", Ii[0]);
3970 
3971   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3972   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3973 
3974   ierr = MatGetSize(B, &m, &n);CHKERRQ(ierr);
3975   ierr = PetscMalloc((m+1) * sizeof(PetscInt), &nnz);CHKERRQ(ierr);
3976   for (i = 0; i < m; i++) {
3977     nz     = Ii[i+1]- Ii[i];
3978     nz_max = PetscMax(nz_max, nz);
3979     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Local row %D has a negative number of columns %D", i, nnz);
3980     nnz[i] = nz;
3981   }
3982   ierr = MatSeqAIJSetPreallocation(B, 0, nnz);CHKERRQ(ierr);
3983   ierr = PetscFree(nnz);CHKERRQ(ierr);
3984 
3985   if (v) {
3986     values = (PetscScalar*) v;
3987   } else {
3988     ierr = PetscMalloc(nz_max*sizeof(PetscScalar), &values);CHKERRQ(ierr);
3989     ierr = PetscMemzero(values, nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
3990   }
3991 
3992   for (i = 0; i < m; i++) {
3993     nz   = Ii[i+1] - Ii[i];
3994     ierr = MatSetValues_SeqAIJ(B, 1, &i, nz, J+Ii[i], values + (v ? Ii[i] : 0), INSERT_VALUES);CHKERRQ(ierr);
3995   }
3996 
3997   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3998   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3999 
4000   if (!v) {
4001     ierr = PetscFree(values);CHKERRQ(ierr);
4002   }
4003   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
4004   PetscFunctionReturn(0);
4005 }
4006 
4007 #include <../src/mat/impls/dense/seq/dense.h>
4008 #include <petsc-private/kernels/petscaxpy.h>
4009 
4010 #undef __FUNCT__
4011 #define __FUNCT__ "MatMatMultNumeric_SeqDense_SeqAIJ"
4012 /*
4013     Computes (B'*A')' since computing B*A directly is untenable
4014 
4015                n                       p                          p
4016         (              )       (              )         (                  )
4017       m (      A       )  *  n (       B      )   =   m (         C        )
4018         (              )       (              )         (                  )
4019 
4020 */
4021 PetscErrorCode MatMatMultNumeric_SeqDense_SeqAIJ(Mat A,Mat B,Mat C)
4022 {
4023   PetscErrorCode    ierr;
4024   Mat_SeqDense      *sub_a = (Mat_SeqDense*)A->data;
4025   Mat_SeqAIJ        *sub_b = (Mat_SeqAIJ*)B->data;
4026   Mat_SeqDense      *sub_c = (Mat_SeqDense*)C->data;
4027   PetscInt          i,n,m,q,p;
4028   const PetscInt    *ii,*idx;
4029   const PetscScalar *b,*a,*a_q;
4030   PetscScalar       *c,*c_q;
4031 
4032   PetscFunctionBegin;
4033   m    = A->rmap->n;
4034   n    = A->cmap->n;
4035   p    = B->cmap->n;
4036   a    = sub_a->v;
4037   b    = sub_b->a;
4038   c    = sub_c->v;
4039   ierr = PetscMemzero(c,m*p*sizeof(PetscScalar));CHKERRQ(ierr);
4040 
4041   ii  = sub_b->i;
4042   idx = sub_b->j;
4043   for (i=0; i<n; i++) {
4044     q = ii[i+1] - ii[i];
4045     while (q-->0) {
4046       c_q = c + m*(*idx);
4047       a_q = a + m*i;
4048       PetscKernelAXPY(c_q,*b,a_q,m);
4049       idx++;
4050       b++;
4051     }
4052   }
4053   PetscFunctionReturn(0);
4054 }
4055 
4056 #undef __FUNCT__
4057 #define __FUNCT__ "MatMatMultSymbolic_SeqDense_SeqAIJ"
4058 PetscErrorCode MatMatMultSymbolic_SeqDense_SeqAIJ(Mat A,Mat B,PetscReal fill,Mat *C)
4059 {
4060   PetscErrorCode ierr;
4061   PetscInt       m=A->rmap->n,n=B->cmap->n;
4062   Mat            Cmat;
4063 
4064   PetscFunctionBegin;
4065   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);
4066   ierr = MatCreate(PetscObjectComm((PetscObject)A),&Cmat);CHKERRQ(ierr);
4067   ierr = MatSetSizes(Cmat,m,n,m,n);CHKERRQ(ierr);
4068   ierr = MatSetBlockSizes(Cmat,A->rmap->bs,B->cmap->bs);CHKERRQ(ierr);
4069   ierr = MatSetType(Cmat,MATSEQDENSE);CHKERRQ(ierr);
4070   ierr = MatSeqDenseSetPreallocation(Cmat,NULL);CHKERRQ(ierr);
4071 
4072   Cmat->ops->matmultnumeric = MatMatMultNumeric_SeqDense_SeqAIJ;
4073 
4074   *C = Cmat;
4075   PetscFunctionReturn(0);
4076 }
4077 
4078 /* ----------------------------------------------------------------*/
4079 #undef __FUNCT__
4080 #define __FUNCT__ "MatMatMult_SeqDense_SeqAIJ"
4081 PetscErrorCode MatMatMult_SeqDense_SeqAIJ(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
4082 {
4083   PetscErrorCode ierr;
4084 
4085   PetscFunctionBegin;
4086   if (scall == MAT_INITIAL_MATRIX) {
4087     ierr = PetscLogEventBegin(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
4088     ierr = MatMatMultSymbolic_SeqDense_SeqAIJ(A,B,fill,C);CHKERRQ(ierr);
4089     ierr = PetscLogEventEnd(MAT_MatMultSymbolic,A,B,0,0);CHKERRQ(ierr);
4090   }
4091   ierr = PetscLogEventBegin(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
4092   ierr = MatMatMultNumeric_SeqDense_SeqAIJ(A,B,*C);CHKERRQ(ierr);
4093   ierr = PetscLogEventEnd(MAT_MatMultNumeric,A,B,0,0);CHKERRQ(ierr);
4094   PetscFunctionReturn(0);
4095 }
4096 
4097 
4098 /*MC
4099    MATSEQAIJ - MATSEQAIJ = "seqaij" - A matrix type to be used for sequential sparse matrices,
4100    based on compressed sparse row format.
4101 
4102    Options Database Keys:
4103 . -mat_type seqaij - sets the matrix type to "seqaij" during a call to MatSetFromOptions()
4104 
4105   Level: beginner
4106 
4107 .seealso: MatCreateSeqAIJ(), MatSetFromOptions(), MatSetType(), MatCreate(), MatType
4108 M*/
4109 
4110 /*MC
4111    MATAIJ - MATAIJ = "aij" - A matrix type to be used for sparse matrices.
4112 
4113    This matrix type is identical to MATSEQAIJ when constructed with a single process communicator,
4114    and MATMPIAIJ otherwise.  As a result, for single process communicators,
4115   MatSeqAIJSetPreallocation is supported, and similarly MatMPIAIJSetPreallocation is supported
4116   for communicators controlling multiple processes.  It is recommended that you call both of
4117   the above preallocation routines for simplicity.
4118 
4119    Options Database Keys:
4120 . -mat_type aij - sets the matrix type to "aij" during a call to MatSetFromOptions()
4121 
4122   Developer Notes: Subclasses include MATAIJCUSP, MATAIJPERM, MATAIJCRL, and also automatically switches over to use inodes when
4123    enough exist.
4124 
4125   Level: beginner
4126 
4127 .seealso: MatCreateAIJ(), MatCreateSeqAIJ(), MATSEQAIJ,MATMPIAIJ
4128 M*/
4129 
4130 /*MC
4131    MATAIJCRL - MATAIJCRL = "aijcrl" - A matrix type to be used for sparse matrices.
4132 
4133    This matrix type is identical to MATSEQAIJCRL when constructed with a single process communicator,
4134    and MATMPIAIJCRL otherwise.  As a result, for single process communicators,
4135    MatSeqAIJSetPreallocation() is supported, and similarly MatMPIAIJSetPreallocation() is supported
4136   for communicators controlling multiple processes.  It is recommended that you call both of
4137   the above preallocation routines for simplicity.
4138 
4139    Options Database Keys:
4140 . -mat_type aijcrl - sets the matrix type to "aijcrl" during a call to MatSetFromOptions()
4141 
4142   Level: beginner
4143 
4144 .seealso: MatCreateMPIAIJCRL,MATSEQAIJCRL,MATMPIAIJCRL, MATSEQAIJCRL, MATMPIAIJCRL
4145 M*/
4146 
4147 #if defined(PETSC_HAVE_PASTIX)
4148 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_pastix(Mat,MatFactorType,Mat*);
4149 #endif
4150 #if defined(PETSC_HAVE_ESSL) && !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_REAL_SINGLE) && !defined(PETSC_USE_REAL___FLOAT128)
4151 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_essl(Mat,MatFactorType,Mat*);
4152 #endif
4153 PETSC_EXTERN PetscErrorCode MatConvert_SeqAIJ_SeqAIJCRL(Mat,MatType,MatReuse,Mat*);
4154 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_petsc(Mat,MatFactorType,Mat*);
4155 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_bas(Mat,MatFactorType,Mat*);
4156 extern PetscErrorCode  MatGetFactorAvailable_seqaij_petsc(Mat,MatFactorType,PetscBool*);
4157 #if defined(PETSC_HAVE_MUMPS)
4158 PETSC_EXTERN PetscErrorCode MatGetFactor_aij_mumps(Mat,MatFactorType,Mat*);
4159 #endif
4160 #if defined(PETSC_HAVE_SUPERLU)
4161 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_superlu(Mat,MatFactorType,Mat*);
4162 #endif
4163 #if defined(PETSC_HAVE_SUPERLU_DIST)
4164 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_superlu_dist(Mat,MatFactorType,Mat*);
4165 #endif
4166 #if defined(PETSC_HAVE_UMFPACK)
4167 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_umfpack(Mat,MatFactorType,Mat*);
4168 #endif
4169 #if defined(PETSC_HAVE_CHOLMOD)
4170 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_cholmod(Mat,MatFactorType,Mat*);
4171 #endif
4172 #if defined(PETSC_HAVE_LUSOL)
4173 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_lusol(Mat,MatFactorType,Mat*);
4174 #endif
4175 #if defined(PETSC_HAVE_MATLAB_ENGINE)
4176 PETSC_EXTERN PetscErrorCode MatGetFactor_seqaij_matlab(Mat,MatFactorType,Mat*);
4177 extern PetscErrorCode  MatlabEnginePut_SeqAIJ(PetscObject,void*);
4178 extern PetscErrorCode  MatlabEngineGet_SeqAIJ(PetscObject,void*);
4179 #endif
4180 #if defined(PETSC_HAVE_CLIQUE)
4181 PETSC_EXTERN PetscErrorCode MatGetFactor_aij_clique(Mat,MatFactorType,Mat*);
4182 #endif
4183 
4184 
4185 #undef __FUNCT__
4186 #define __FUNCT__ "MatSeqAIJGetArray"
4187 /*@C
4188    MatSeqAIJGetArray - gives access to the array where the data for a SeqSeqAIJ matrix is stored
4189 
4190    Not Collective
4191 
4192    Input Parameter:
4193 .  mat - a MATSEQDENSE matrix
4194 
4195    Output Parameter:
4196 .   array - pointer to the data
4197 
4198    Level: intermediate
4199 
4200 .seealso: MatSeqAIJRestoreArray(), MatSeqAIJGetArrayF90()
4201 @*/
4202 PetscErrorCode  MatSeqAIJGetArray(Mat A,PetscScalar **array)
4203 {
4204   PetscErrorCode ierr;
4205 
4206   PetscFunctionBegin;
4207   ierr = PetscUseMethod(A,"MatSeqAIJGetArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
4208   PetscFunctionReturn(0);
4209 }
4210 
4211 #undef __FUNCT__
4212 #define __FUNCT__ "MatSeqAIJRestoreArray"
4213 /*@C
4214    MatSeqAIJRestoreArray - returns access to the array where the data for a SeqSeqAIJ matrix is stored obtained by MatSeqAIJGetArray()
4215 
4216    Not Collective
4217 
4218    Input Parameters:
4219 .  mat - a MATSEQDENSE matrix
4220 .  array - pointer to the data
4221 
4222    Level: intermediate
4223 
4224 .seealso: MatSeqAIJGetArray(), MatSeqAIJRestoreArrayF90()
4225 @*/
4226 PetscErrorCode  MatSeqAIJRestoreArray(Mat A,PetscScalar **array)
4227 {
4228   PetscErrorCode ierr;
4229 
4230   PetscFunctionBegin;
4231   ierr = PetscUseMethod(A,"MatSeqAIJRestoreArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
4232   PetscFunctionReturn(0);
4233 }
4234 
4235 #undef __FUNCT__
4236 #define __FUNCT__ "MatCreate_SeqAIJ"
4237 PETSC_EXTERN PetscErrorCode MatCreate_SeqAIJ(Mat B)
4238 {
4239   Mat_SeqAIJ     *b;
4240   PetscErrorCode ierr;
4241   PetscMPIInt    size;
4242 
4243   PetscFunctionBegin;
4244   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&size);CHKERRQ(ierr);
4245   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Comm must be of size 1");
4246 
4247   ierr = PetscNewLog(B,Mat_SeqAIJ,&b);CHKERRQ(ierr);
4248 
4249   B->data = (void*)b;
4250 
4251   ierr = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
4252 
4253   b->row                = 0;
4254   b->col                = 0;
4255   b->icol               = 0;
4256   b->reallocs           = 0;
4257   b->ignorezeroentries  = PETSC_FALSE;
4258   b->roworiented        = PETSC_TRUE;
4259   b->nonew              = 0;
4260   b->diag               = 0;
4261   b->solve_work         = 0;
4262   B->spptr              = 0;
4263   b->saved_values       = 0;
4264   b->idiag              = 0;
4265   b->mdiag              = 0;
4266   b->ssor_work          = 0;
4267   b->omega              = 1.0;
4268   b->fshift             = 0.0;
4269   b->idiagvalid         = PETSC_FALSE;
4270   b->ibdiagvalid        = PETSC_FALSE;
4271   b->keepnonzeropattern = PETSC_FALSE;
4272   b->xtoy               = 0;
4273   b->XtoY               = 0;
4274   B->same_nonzero       = PETSC_FALSE;
4275 
4276   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
4277   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJGetArray_C",MatSeqAIJGetArray_SeqAIJ);CHKERRQ(ierr);
4278   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJRestoreArray_C",MatSeqAIJRestoreArray_SeqAIJ);CHKERRQ(ierr);
4279 
4280 #if defined(PETSC_HAVE_MATLAB_ENGINE)
4281   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_matlab_C",MatGetFactor_seqaij_matlab);CHKERRQ(ierr);
4282   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEnginePut_C",MatlabEnginePut_SeqAIJ);CHKERRQ(ierr);
4283   ierr = PetscObjectComposeFunction((PetscObject)B,"PetscMatlabEngineGet_C",MatlabEngineGet_SeqAIJ);CHKERRQ(ierr);
4284 #endif
4285 #if defined(PETSC_HAVE_PASTIX)
4286   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_pastix_C",MatGetFactor_seqaij_pastix);CHKERRQ(ierr);
4287 #endif
4288 #if defined(PETSC_HAVE_ESSL) && !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_REAL_SINGLE) && !defined(PETSC_USE_REAL___FLOAT128)
4289   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_essl_C",MatGetFactor_seqaij_essl);CHKERRQ(ierr);
4290 #endif
4291 #if defined(PETSC_HAVE_SUPERLU)
4292   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_superlu_C",MatGetFactor_seqaij_superlu);CHKERRQ(ierr);
4293 #endif
4294 #if defined(PETSC_HAVE_SUPERLU_DIST)
4295   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_superlu_dist_C",MatGetFactor_seqaij_superlu_dist);CHKERRQ(ierr);
4296 #endif
4297 #if defined(PETSC_HAVE_MUMPS)
4298   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_mumps_C",MatGetFactor_aij_mumps);CHKERRQ(ierr);
4299 #endif
4300 #if defined(PETSC_HAVE_UMFPACK)
4301   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_umfpack_C",MatGetFactor_seqaij_umfpack);CHKERRQ(ierr);
4302 #endif
4303 #if defined(PETSC_HAVE_CHOLMOD)
4304   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_cholmod_C",MatGetFactor_seqaij_cholmod);CHKERRQ(ierr);
4305 #endif
4306 #if defined(PETSC_HAVE_LUSOL)
4307   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_lusol_C",MatGetFactor_seqaij_lusol);CHKERRQ(ierr);
4308 #endif
4309 #if defined(PETSC_HAVE_CLIQUE)
4310   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_clique_C",MatGetFactor_aij_clique);CHKERRQ(ierr);
4311 #endif
4312 
4313   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_petsc_C",MatGetFactor_seqaij_petsc);CHKERRQ(ierr);
4314   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactorAvailable_petsc_C",MatGetFactorAvailable_seqaij_petsc);CHKERRQ(ierr);
4315   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_bas_C",MatGetFactor_seqaij_bas);CHKERRQ(ierr);
4316   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetColumnIndices_C",MatSeqAIJSetColumnIndices_SeqAIJ);CHKERRQ(ierr);
4317   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_SeqAIJ);CHKERRQ(ierr);
4318   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_SeqAIJ);CHKERRQ(ierr);
4319   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqsbaij_C",MatConvert_SeqAIJ_SeqSBAIJ);CHKERRQ(ierr);
4320   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqbaij_C",MatConvert_SeqAIJ_SeqBAIJ);CHKERRQ(ierr);
4321   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijperm_C",MatConvert_SeqAIJ_SeqAIJPERM);CHKERRQ(ierr);
4322   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqaij_seqaijcrl_C",MatConvert_SeqAIJ_SeqAIJCRL);CHKERRQ(ierr);
4323   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4324   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsHermitianTranspose_C",MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
4325   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocation_C",MatSeqAIJSetPreallocation_SeqAIJ);CHKERRQ(ierr);
4326   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqAIJSetPreallocationCSR_C",MatSeqAIJSetPreallocationCSR_SeqAIJ);CHKERRQ(ierr);
4327   ierr = PetscObjectComposeFunction((PetscObject)B,"MatReorderForNonzeroDiagonal_C",MatReorderForNonzeroDiagonal_SeqAIJ);CHKERRQ(ierr);
4328   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMult_seqdense_seqaij_C",MatMatMult_SeqDense_SeqAIJ);CHKERRQ(ierr);
4329   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultSymbolic_seqdense_seqaij_C",MatMatMultSymbolic_SeqDense_SeqAIJ);CHKERRQ(ierr);
4330   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultNumeric_seqdense_seqaij_C",MatMatMultNumeric_SeqDense_SeqAIJ);CHKERRQ(ierr);
4331   ierr = MatCreate_SeqAIJ_Inode(B);CHKERRQ(ierr);
4332   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
4333   PetscFunctionReturn(0);
4334 }
4335 
4336 #undef __FUNCT__
4337 #define __FUNCT__ "MatDuplicateNoCreate_SeqAIJ"
4338 /*
4339     Given a matrix generated with MatGetFactor() duplicates all the information in A into B
4340 */
4341 PetscErrorCode MatDuplicateNoCreate_SeqAIJ(Mat C,Mat A,MatDuplicateOption cpvalues,PetscBool mallocmatspace)
4342 {
4343   Mat_SeqAIJ     *c,*a = (Mat_SeqAIJ*)A->data;
4344   PetscErrorCode ierr;
4345   PetscInt       i,m = A->rmap->n;
4346 
4347   PetscFunctionBegin;
4348   c = (Mat_SeqAIJ*)C->data;
4349 
4350   C->factortype = A->factortype;
4351   c->row        = 0;
4352   c->col        = 0;
4353   c->icol       = 0;
4354   c->reallocs   = 0;
4355 
4356   C->assembled = PETSC_TRUE;
4357 
4358   ierr = PetscLayoutReference(A->rmap,&C->rmap);CHKERRQ(ierr);
4359   ierr = PetscLayoutReference(A->cmap,&C->cmap);CHKERRQ(ierr);
4360 
4361   ierr = PetscMalloc2(m,PetscInt,&c->imax,m,PetscInt,&c->ilen);CHKERRQ(ierr);
4362   ierr = PetscLogObjectMemory((PetscObject)C, 2*m*sizeof(PetscInt));CHKERRQ(ierr);
4363   for (i=0; i<m; i++) {
4364     c->imax[i] = a->imax[i];
4365     c->ilen[i] = a->ilen[i];
4366   }
4367 
4368   /* allocate the matrix space */
4369   if (mallocmatspace) {
4370     ierr = PetscMalloc3(a->i[m],PetscScalar,&c->a,a->i[m],PetscInt,&c->j,m+1,PetscInt,&c->i);CHKERRQ(ierr);
4371     ierr = PetscLogObjectMemory((PetscObject)C, a->i[m]*(sizeof(PetscScalar)+sizeof(PetscInt))+(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4372 
4373     c->singlemalloc = PETSC_TRUE;
4374 
4375     ierr = PetscMemcpy(c->i,a->i,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4376     if (m > 0) {
4377       ierr = PetscMemcpy(c->j,a->j,(a->i[m])*sizeof(PetscInt));CHKERRQ(ierr);
4378       if (cpvalues == MAT_COPY_VALUES) {
4379         ierr = PetscMemcpy(c->a,a->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4380       } else {
4381         ierr = PetscMemzero(c->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
4382       }
4383     }
4384   }
4385 
4386   c->ignorezeroentries = a->ignorezeroentries;
4387   c->roworiented       = a->roworiented;
4388   c->nonew             = a->nonew;
4389   if (a->diag) {
4390     ierr = PetscMalloc((m+1)*sizeof(PetscInt),&c->diag);CHKERRQ(ierr);
4391     ierr = PetscLogObjectMemory((PetscObject)C,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
4392     for (i=0; i<m; i++) {
4393       c->diag[i] = a->diag[i];
4394     }
4395   } else c->diag = 0;
4396 
4397   c->solve_work         = 0;
4398   c->saved_values       = 0;
4399   c->idiag              = 0;
4400   c->ssor_work          = 0;
4401   c->keepnonzeropattern = a->keepnonzeropattern;
4402   c->free_a             = PETSC_TRUE;
4403   c->free_ij            = PETSC_TRUE;
4404   c->xtoy               = 0;
4405   c->XtoY               = 0;
4406 
4407   c->rmax         = a->rmax;
4408   c->nz           = a->nz;
4409   c->maxnz        = a->nz;       /* Since we allocate exactly the right amount */
4410   C->preallocated = PETSC_TRUE;
4411 
4412   c->compressedrow.use   = a->compressedrow.use;
4413   c->compressedrow.nrows = a->compressedrow.nrows;
4414   c->compressedrow.check = a->compressedrow.check;
4415   if (a->compressedrow.use) {
4416     i    = a->compressedrow.nrows;
4417     ierr = PetscMalloc2(i+1,PetscInt,&c->compressedrow.i,i,PetscInt,&c->compressedrow.rindex);CHKERRQ(ierr);
4418     ierr = PetscMemcpy(c->compressedrow.i,a->compressedrow.i,(i+1)*sizeof(PetscInt));CHKERRQ(ierr);
4419     ierr = PetscMemcpy(c->compressedrow.rindex,a->compressedrow.rindex,i*sizeof(PetscInt));CHKERRQ(ierr);
4420   } else {
4421     c->compressedrow.use    = PETSC_FALSE;
4422     c->compressedrow.i      = NULL;
4423     c->compressedrow.rindex = NULL;
4424   }
4425   C->same_nonzero = A->same_nonzero;
4426 
4427   ierr = MatDuplicate_SeqAIJ_Inode(A,cpvalues,&C);CHKERRQ(ierr);
4428   ierr = PetscFunctionListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
4429   PetscFunctionReturn(0);
4430 }
4431 
4432 #undef __FUNCT__
4433 #define __FUNCT__ "MatDuplicate_SeqAIJ"
4434 PetscErrorCode MatDuplicate_SeqAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
4435 {
4436   PetscErrorCode ierr;
4437 
4438   PetscFunctionBegin;
4439   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
4440   ierr = MatSetSizes(*B,A->rmap->n,A->cmap->n,A->rmap->n,A->cmap->n);CHKERRQ(ierr);
4441   ierr = MatSetBlockSizes(*B,A->rmap->bs,A->cmap->bs);CHKERRQ(ierr);
4442   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
4443   ierr = MatDuplicateNoCreate_SeqAIJ(*B,A,cpvalues,PETSC_TRUE);CHKERRQ(ierr);
4444   PetscFunctionReturn(0);
4445 }
4446 
4447 #undef __FUNCT__
4448 #define __FUNCT__ "MatLoad_SeqAIJ"
4449 PetscErrorCode MatLoad_SeqAIJ(Mat newMat, PetscViewer viewer)
4450 {
4451   Mat_SeqAIJ     *a;
4452   PetscErrorCode ierr;
4453   PetscInt       i,sum,nz,header[4],*rowlengths = 0,M,N,rows,cols;
4454   int            fd;
4455   PetscMPIInt    size;
4456   MPI_Comm       comm;
4457   PetscInt       bs = 1;
4458 
4459   PetscFunctionBegin;
4460   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
4461   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4462   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"view must have one processor");
4463 
4464   ierr = PetscOptionsBegin(comm,NULL,"Options for loading SEQAIJ matrix","Mat");CHKERRQ(ierr);
4465   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
4466   ierr = PetscOptionsEnd();CHKERRQ(ierr);
4467   if (bs > 1) {ierr = MatSetBlockSize(newMat,bs);CHKERRQ(ierr);}
4468 
4469   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
4470   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
4471   if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object in file");
4472   M = header[1]; N = header[2]; nz = header[3];
4473 
4474   if (nz < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk,cannot load as SeqAIJ");
4475 
4476   /* read in row lengths */
4477   ierr = PetscMalloc(M*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
4478   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
4479 
4480   /* check if sum of rowlengths is same as nz */
4481   for (i=0,sum=0; i< M; i++) sum +=rowlengths[i];
4482   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);
4483 
4484   /* set global size if not set already*/
4485   if (newMat->rmap->n < 0 && newMat->rmap->N < 0 && newMat->cmap->n < 0 && newMat->cmap->N < 0) {
4486     ierr = MatSetSizes(newMat,PETSC_DECIDE,PETSC_DECIDE,M,N);CHKERRQ(ierr);
4487   } else {
4488     /* if sizes and type are already set, check if the vector global sizes are correct */
4489     ierr = MatGetSize(newMat,&rows,&cols);CHKERRQ(ierr);
4490     if (rows < 0 && cols < 0) { /* user might provide local size instead of global size */
4491       ierr = MatGetLocalSize(newMat,&rows,&cols);CHKERRQ(ierr);
4492     }
4493     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);
4494   }
4495   ierr = MatSeqAIJSetPreallocation_SeqAIJ(newMat,0,rowlengths);CHKERRQ(ierr);
4496   a    = (Mat_SeqAIJ*)newMat->data;
4497 
4498   ierr = PetscBinaryRead(fd,a->j,nz,PETSC_INT);CHKERRQ(ierr);
4499 
4500   /* read in nonzero values */
4501   ierr = PetscBinaryRead(fd,a->a,nz,PETSC_SCALAR);CHKERRQ(ierr);
4502 
4503   /* set matrix "i" values */
4504   a->i[0] = 0;
4505   for (i=1; i<= M; i++) {
4506     a->i[i]      = a->i[i-1] + rowlengths[i-1];
4507     a->ilen[i-1] = rowlengths[i-1];
4508   }
4509   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
4510 
4511   ierr = MatAssemblyBegin(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4512   ierr = MatAssemblyEnd(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4513   PetscFunctionReturn(0);
4514 }
4515 
4516 #undef __FUNCT__
4517 #define __FUNCT__ "MatEqual_SeqAIJ"
4518 PetscErrorCode MatEqual_SeqAIJ(Mat A,Mat B,PetscBool * flg)
4519 {
4520   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*b = (Mat_SeqAIJ*)B->data;
4521   PetscErrorCode ierr;
4522 #if defined(PETSC_USE_COMPLEX)
4523   PetscInt k;
4524 #endif
4525 
4526   PetscFunctionBegin;
4527   /* If the  matrix dimensions are not equal,or no of nonzeros */
4528   if ((A->rmap->n != B->rmap->n) || (A->cmap->n != B->cmap->n) ||(a->nz != b->nz)) {
4529     *flg = PETSC_FALSE;
4530     PetscFunctionReturn(0);
4531   }
4532 
4533   /* if the a->i are the same */
4534   ierr = PetscMemcmp(a->i,b->i,(A->rmap->n+1)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4535   if (!*flg) PetscFunctionReturn(0);
4536 
4537   /* if a->j are the same */
4538   ierr = PetscMemcmp(a->j,b->j,(a->nz)*sizeof(PetscInt),flg);CHKERRQ(ierr);
4539   if (!*flg) PetscFunctionReturn(0);
4540 
4541   /* if a->a are the same */
4542 #if defined(PETSC_USE_COMPLEX)
4543   for (k=0; k<a->nz; k++) {
4544     if (PetscRealPart(a->a[k]) != PetscRealPart(b->a[k]) || PetscImaginaryPart(a->a[k]) != PetscImaginaryPart(b->a[k])) {
4545       *flg = PETSC_FALSE;
4546       PetscFunctionReturn(0);
4547     }
4548   }
4549 #else
4550   ierr = PetscMemcmp(a->a,b->a,(a->nz)*sizeof(PetscScalar),flg);CHKERRQ(ierr);
4551 #endif
4552   PetscFunctionReturn(0);
4553 }
4554 
4555 #undef __FUNCT__
4556 #define __FUNCT__ "MatCreateSeqAIJWithArrays"
4557 /*@
4558      MatCreateSeqAIJWithArrays - Creates an sequential AIJ matrix using matrix elements (in CSR format)
4559               provided by the user.
4560 
4561       Collective on MPI_Comm
4562 
4563    Input Parameters:
4564 +   comm - must be an MPI communicator of size 1
4565 .   m - number of rows
4566 .   n - number of columns
4567 .   i - row indices
4568 .   j - column indices
4569 -   a - matrix values
4570 
4571    Output Parameter:
4572 .   mat - the matrix
4573 
4574    Level: intermediate
4575 
4576    Notes:
4577        The i, j, and a arrays are not copied by this routine, the user must free these arrays
4578     once the matrix is destroyed and not before
4579 
4580        You cannot set new nonzero locations into this matrix, that will generate an error.
4581 
4582        The i and j indices are 0 based
4583 
4584        The format which is used for the sparse matrix input, is equivalent to a
4585     row-major ordering.. i.e for the following matrix, the input data expected is
4586     as shown:
4587 
4588         1 0 0
4589         2 0 3
4590         4 5 6
4591 
4592         i =  {0,1,3,6}  [size = nrow+1  = 3+1]
4593         j =  {0,0,2,0,1,2}  [size = nz = 6]; values must be sorted for each row
4594         v =  {1,2,3,4,5,6}  [size = nz = 6]
4595 
4596 
4597 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateMPIAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4598 
4599 @*/
4600 PetscErrorCode  MatCreateSeqAIJWithArrays(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt *i,PetscInt *j,PetscScalar *a,Mat *mat)
4601 {
4602   PetscErrorCode ierr;
4603   PetscInt       ii;
4604   Mat_SeqAIJ     *aij;
4605 #if defined(PETSC_USE_DEBUG)
4606   PetscInt jj;
4607 #endif
4608 
4609   PetscFunctionBegin;
4610   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
4611   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4612   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4613   /* ierr = MatSetBlockSizes(*mat,,);CHKERRQ(ierr); */
4614   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4615   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
4616   aij  = (Mat_SeqAIJ*)(*mat)->data;
4617   ierr = PetscMalloc2(m,PetscInt,&aij->imax,m,PetscInt,&aij->ilen);CHKERRQ(ierr);
4618 
4619   aij->i            = i;
4620   aij->j            = j;
4621   aij->a            = a;
4622   aij->singlemalloc = PETSC_FALSE;
4623   aij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
4624   aij->free_a       = PETSC_FALSE;
4625   aij->free_ij      = PETSC_FALSE;
4626 
4627   for (ii=0; ii<m; ii++) {
4628     aij->ilen[ii] = aij->imax[ii] = i[ii+1] - i[ii];
4629 #if defined(PETSC_USE_DEBUG)
4630     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]);
4631     for (jj=i[ii]+1; jj<i[ii+1]; jj++) {
4632       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);
4633       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);
4634     }
4635 #endif
4636   }
4637 #if defined(PETSC_USE_DEBUG)
4638   for (ii=0; ii<aij->i[m]; ii++) {
4639     if (j[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %d index = %d",ii,j[ii]);
4640     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]);
4641   }
4642 #endif
4643 
4644   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4645   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4646   PetscFunctionReturn(0);
4647 }
4648 #undef __FUNCT__
4649 #define __FUNCT__ "MatCreateSeqAIJFromTriple"
4650 /*@C
4651      MatCreateSeqAIJFromTriple - Creates an sequential AIJ matrix using matrix elements (in COO format)
4652               provided by the user.
4653 
4654       Collective on MPI_Comm
4655 
4656    Input Parameters:
4657 +   comm - must be an MPI communicator of size 1
4658 .   m   - number of rows
4659 .   n   - number of columns
4660 .   i   - row indices
4661 .   j   - column indices
4662 .   a   - matrix values
4663 .   nz  - number of nonzeros
4664 -   idx - 0 or 1 based
4665 
4666    Output Parameter:
4667 .   mat - the matrix
4668 
4669    Level: intermediate
4670 
4671    Notes:
4672        The i and j indices are 0 based
4673 
4674        The format which is used for the sparse matrix input, is equivalent to a
4675     row-major ordering.. i.e for the following matrix, the input data expected is
4676     as shown:
4677 
4678         1 0 0
4679         2 0 3
4680         4 5 6
4681 
4682         i =  {0,1,1,2,2,2}
4683         j =  {0,0,2,0,1,2}
4684         v =  {1,2,3,4,5,6}
4685 
4686 
4687 .seealso: MatCreate(), MatCreateAIJ(), MatCreateSeqAIJ(), MatCreateSeqAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
4688 
4689 @*/
4690 PetscErrorCode  MatCreateSeqAIJFromTriple(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt *i,PetscInt *j,PetscScalar *a,Mat *mat,PetscInt nz,PetscBool idx)
4691 {
4692   PetscErrorCode ierr;
4693   PetscInt       ii, *nnz, one = 1,row,col;
4694 
4695 
4696   PetscFunctionBegin;
4697   ierr = PetscMalloc(m*sizeof(PetscInt),&nnz);CHKERRQ(ierr);
4698   ierr = PetscMemzero(nnz,m*sizeof(PetscInt));CHKERRQ(ierr);
4699   for (ii = 0; ii < nz; ii++) {
4700     nnz[i[ii]] += 1;
4701   }
4702   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4703   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
4704   /* ierr = MatSetBlockSizes(*mat,,);CHKERRQ(ierr); */
4705   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
4706   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,0,nnz);CHKERRQ(ierr);
4707   for (ii = 0; ii < nz; ii++) {
4708     if (idx) {
4709       row = i[ii] - 1;
4710       col = j[ii] - 1;
4711     } else {
4712       row = i[ii];
4713       col = j[ii];
4714     }
4715     ierr = MatSetValues(*mat,one,&row,one,&col,&a[ii],ADD_VALUES);CHKERRQ(ierr);
4716   }
4717   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4718   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4719   ierr = PetscFree(nnz);CHKERRQ(ierr);
4720   PetscFunctionReturn(0);
4721 }
4722 
4723 #undef __FUNCT__
4724 #define __FUNCT__ "MatSetColoring_SeqAIJ"
4725 PetscErrorCode MatSetColoring_SeqAIJ(Mat A,ISColoring coloring)
4726 {
4727   PetscErrorCode ierr;
4728   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
4729 
4730   PetscFunctionBegin;
4731   if (coloring->ctype == IS_COLORING_GLOBAL) {
4732     ierr        = ISColoringReference(coloring);CHKERRQ(ierr);
4733     a->coloring = coloring;
4734   } else if (coloring->ctype == IS_COLORING_GHOSTED) {
4735     PetscInt        i,*larray;
4736     ISColoring      ocoloring;
4737     ISColoringValue *colors;
4738 
4739     /* set coloring for diagonal portion */
4740     ierr = PetscMalloc(A->cmap->n*sizeof(PetscInt),&larray);CHKERRQ(ierr);
4741     for (i=0; i<A->cmap->n; i++) larray[i] = i;
4742     ierr = ISGlobalToLocalMappingApply(A->cmap->mapping,IS_GTOLM_MASK,A->cmap->n,larray,NULL,larray);CHKERRQ(ierr);
4743     ierr = PetscMalloc(A->cmap->n*sizeof(ISColoringValue),&colors);CHKERRQ(ierr);
4744     for (i=0; i<A->cmap->n; i++) colors[i] = coloring->colors[larray[i]];
4745     ierr        = PetscFree(larray);CHKERRQ(ierr);
4746     ierr        = ISColoringCreate(PETSC_COMM_SELF,coloring->n,A->cmap->n,colors,&ocoloring);CHKERRQ(ierr);
4747     a->coloring = ocoloring;
4748   }
4749   PetscFunctionReturn(0);
4750 }
4751 
4752 #undef __FUNCT__
4753 #define __FUNCT__ "MatSetValuesAdifor_SeqAIJ"
4754 PetscErrorCode MatSetValuesAdifor_SeqAIJ(Mat A,PetscInt nl,void *advalues)
4755 {
4756   Mat_SeqAIJ      *a      = (Mat_SeqAIJ*)A->data;
4757   PetscInt        m       = A->rmap->n,*ii = a->i,*jj = a->j,nz,i,j;
4758   MatScalar       *v      = a->a;
4759   PetscScalar     *values = (PetscScalar*)advalues;
4760   ISColoringValue *color;
4761 
4762   PetscFunctionBegin;
4763   if (!a->coloring) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Coloring not set for matrix");
4764   color = a->coloring->colors;
4765   /* loop over rows */
4766   for (i=0; i<m; i++) {
4767     nz = ii[i+1] - ii[i];
4768     /* loop over columns putting computed value into matrix */
4769     for (j=0; j<nz; j++) *v++ = values[color[*jj++]];
4770     values += nl; /* jump to next row of derivatives */
4771   }
4772   PetscFunctionReturn(0);
4773 }
4774 
4775 #undef __FUNCT__
4776 #define __FUNCT__ "MatSeqAIJInvalidateDiagonal"
4777 PetscErrorCode MatSeqAIJInvalidateDiagonal(Mat A)
4778 {
4779   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data;
4780   PetscErrorCode ierr;
4781 
4782   PetscFunctionBegin;
4783   a->idiagvalid  = PETSC_FALSE;
4784   a->ibdiagvalid = PETSC_FALSE;
4785 
4786   ierr = MatSeqAIJInvalidateDiagonal_Inode(A);CHKERRQ(ierr);
4787   PetscFunctionReturn(0);
4788 }
4789 
4790 /*
4791     Special version for direct calls from Fortran
4792 */
4793 #include <petsc-private/fortranimpl.h>
4794 #if defined(PETSC_HAVE_FORTRAN_CAPS)
4795 #define matsetvaluesseqaij_ MATSETVALUESSEQAIJ
4796 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
4797 #define matsetvaluesseqaij_ matsetvaluesseqaij
4798 #endif
4799 
4800 /* Change these macros so can be used in void function */
4801 #undef CHKERRQ
4802 #define CHKERRQ(ierr) CHKERRABORT(PetscObjectComm((PetscObject)A),ierr)
4803 #undef SETERRQ2
4804 #define SETERRQ2(comm,ierr,b,c,d) CHKERRABORT(comm,ierr)
4805 #undef SETERRQ3
4806 #define SETERRQ3(comm,ierr,b,c,d,e) CHKERRABORT(comm,ierr)
4807 
4808 #undef __FUNCT__
4809 #define __FUNCT__ "matsetvaluesseqaij_"
4810 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)
4811 {
4812   Mat            A  = *AA;
4813   PetscInt       m  = *mm, n = *nn;
4814   InsertMode     is = *isis;
4815   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
4816   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
4817   PetscInt       *imax,*ai,*ailen;
4818   PetscErrorCode ierr;
4819   PetscInt       *aj,nonew = a->nonew,lastcol = -1;
4820   MatScalar      *ap,value,*aa;
4821   PetscBool      ignorezeroentries = a->ignorezeroentries;
4822   PetscBool      roworiented       = a->roworiented;
4823 
4824   PetscFunctionBegin;
4825   MatCheckPreallocated(A,1);
4826   imax  = a->imax;
4827   ai    = a->i;
4828   ailen = a->ilen;
4829   aj    = a->j;
4830   aa    = a->a;
4831 
4832   for (k=0; k<m; k++) { /* loop over added rows */
4833     row = im[k];
4834     if (row < 0) continue;
4835 #if defined(PETSC_USE_DEBUG)
4836     if (row >= A->rmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Row too large");
4837 #endif
4838     rp   = aj + ai[row]; ap = aa + ai[row];
4839     rmax = imax[row]; nrow = ailen[row];
4840     low  = 0;
4841     high = nrow;
4842     for (l=0; l<n; l++) { /* loop over added columns */
4843       if (in[l] < 0) continue;
4844 #if defined(PETSC_USE_DEBUG)
4845       if (in[l] >= A->cmap->n) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Column too large");
4846 #endif
4847       col = in[l];
4848       if (roworiented) value = v[l + k*n];
4849       else value = v[k + l*m];
4850 
4851       if (value == 0.0 && ignorezeroentries && (is == ADD_VALUES)) continue;
4852 
4853       if (col <= lastcol) low = 0;
4854       else high = nrow;
4855       lastcol = col;
4856       while (high-low > 5) {
4857         t = (low+high)/2;
4858         if (rp[t] > col) high = t;
4859         else             low  = t;
4860       }
4861       for (i=low; i<high; i++) {
4862         if (rp[i] > col) break;
4863         if (rp[i] == col) {
4864           if (is == ADD_VALUES) ap[i] += value;
4865           else                  ap[i] = value;
4866           goto noinsert;
4867         }
4868       }
4869       if (value == 0.0 && ignorezeroentries) goto noinsert;
4870       if (nonew == 1) goto noinsert;
4871       if (nonew == -1) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero in the matrix");
4872       MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
4873       N = nrow++ - 1; a->nz++; high++;
4874       /* shift up all the later entries in this row */
4875       for (ii=N; ii>=i; ii--) {
4876         rp[ii+1] = rp[ii];
4877         ap[ii+1] = ap[ii];
4878       }
4879       rp[i] = col;
4880       ap[i] = value;
4881 noinsert:;
4882       low = i + 1;
4883     }
4884     ailen[row] = nrow;
4885   }
4886   A->same_nonzero = PETSC_FALSE;
4887   PetscFunctionReturnVoid();
4888 }
4889 
4890 
4891