xref: /petsc/src/mat/impls/aij/seq/aij.c (revision 42eaa7f3b58bc3af4b9ef28b03ccaa8b4c1282ac)
1 #define PETSCMAT_DLL
2 
3 
4 /*
5     Defines the basic matrix operations for the AIJ (compressed row)
6   matrix storage format.
7 */
8 
9 
10 #include "../src/mat/impls/aij/seq/aij.h"          /*I "petscmat.h" I*/
11 #include "petscblaslapack.h"
12 #include "petscbt.h"
13 
14 #undef __FUNCT__
15 #define __FUNCT__ "MatDiagonalSet_SeqAIJ"
16 PetscErrorCode PETSCMAT_DLLEXPORT MatDiagonalSet_SeqAIJ(Mat Y,Vec D,InsertMode is)
17 {
18   PetscErrorCode ierr;
19   Mat_SeqAIJ     *aij = (Mat_SeqAIJ*) Y->data;
20   PetscInt       i,*diag, m = Y->rmap->n;
21   MatScalar      *aa = aij->a;
22   PetscScalar    *v;
23   PetscTruth     missing;
24 
25   PetscFunctionBegin;
26   if (Y->assembled) {
27     ierr = MatMissingDiagonal_SeqAIJ(Y,&missing,PETSC_NULL);CHKERRQ(ierr);
28     if (!missing) {
29       diag = aij->diag;
30       ierr = VecGetArray(D,&v);CHKERRQ(ierr);
31       if (is == INSERT_VALUES) {
32 	for (i=0; i<m; i++) {
33 	  aa[diag[i]] = v[i];
34 	}
35       } else {
36 	for (i=0; i<m; i++) {
37 	  aa[diag[i]] += v[i];
38 	}
39       }
40       ierr = VecRestoreArray(D,&v);CHKERRQ(ierr);
41       PetscFunctionReturn(0);
42     }
43   }
44   ierr = MatDiagonalSet_Default(Y,D,is);CHKERRQ(ierr);
45   PetscFunctionReturn(0);
46 }
47 
48 #undef __FUNCT__
49 #define __FUNCT__ "MatGetRowIJ_SeqAIJ"
50 PetscErrorCode MatGetRowIJ_SeqAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscTruth inodecompressed,PetscInt *m,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
51 {
52   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
53   PetscErrorCode ierr;
54   PetscInt       i,ishift;
55 
56   PetscFunctionBegin;
57   *m     = A->rmap->n;
58   if (!ia) PetscFunctionReturn(0);
59   ishift = 0;
60   if (symmetric && !A->structurally_symmetric) {
61     ierr = MatToSymmetricIJ_SeqAIJ(A->rmap->n,a->i,a->j,ishift,oshift,ia,ja);CHKERRQ(ierr);
62   } else if (oshift == 1) {
63     PetscInt nz = a->i[A->rmap->n];
64     /* malloc space and  add 1 to i and j indices */
65     ierr = PetscMalloc((A->rmap->n+1)*sizeof(PetscInt),ia);CHKERRQ(ierr);
66     for (i=0; i<A->rmap->n+1; i++) (*ia)[i] = a->i[i] + 1;
67     if (ja) {
68       ierr = PetscMalloc((nz+1)*sizeof(PetscInt),ja);CHKERRQ(ierr);
69       for (i=0; i<nz; i++) (*ja)[i] = a->j[i] + 1;
70     }
71   } else {
72     *ia = a->i;
73     if (ja) *ja = a->j;
74   }
75   PetscFunctionReturn(0);
76 }
77 
78 #undef __FUNCT__
79 #define __FUNCT__ "MatRestoreRowIJ_SeqAIJ"
80 PetscErrorCode MatRestoreRowIJ_SeqAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscTruth inodecompressed,PetscInt *n,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
81 {
82   PetscErrorCode ierr;
83 
84   PetscFunctionBegin;
85   if (!ia) PetscFunctionReturn(0);
86   if ((symmetric && !A->structurally_symmetric) || oshift == 1) {
87     ierr = PetscFree(*ia);CHKERRQ(ierr);
88     if (ja) {ierr = PetscFree(*ja);CHKERRQ(ierr);}
89   }
90   PetscFunctionReturn(0);
91 }
92 
93 #undef __FUNCT__
94 #define __FUNCT__ "MatGetColumnIJ_SeqAIJ"
95 PetscErrorCode MatGetColumnIJ_SeqAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscTruth inodecompressed,PetscInt *nn,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
96 {
97   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
98   PetscErrorCode ierr;
99   PetscInt       i,*collengths,*cia,*cja,n = A->cmap->n,m = A->rmap->n;
100   PetscInt       nz = a->i[m],row,*jj,mr,col;
101 
102   PetscFunctionBegin;
103   *nn = n;
104   if (!ia) PetscFunctionReturn(0);
105   if (symmetric) {
106     ierr = MatToSymmetricIJ_SeqAIJ(A->rmap->n,a->i,a->j,0,oshift,ia,ja);CHKERRQ(ierr);
107   } else {
108     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&collengths);CHKERRQ(ierr);
109     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
110     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&cia);CHKERRQ(ierr);
111     ierr = PetscMalloc((nz+1)*sizeof(PetscInt),&cja);CHKERRQ(ierr);
112     jj = a->j;
113     for (i=0; i<nz; i++) {
114       collengths[jj[i]]++;
115     }
116     cia[0] = oshift;
117     for (i=0; i<n; i++) {
118       cia[i+1] = cia[i] + collengths[i];
119     }
120     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
121     jj   = a->j;
122     for (row=0; row<m; row++) {
123       mr = a->i[row+1] - a->i[row];
124       for (i=0; i<mr; i++) {
125         col = *jj++;
126         cja[cia[col] + collengths[col]++ - oshift] = row + oshift;
127       }
128     }
129     ierr = PetscFree(collengths);CHKERRQ(ierr);
130     *ia = cia; *ja = cja;
131   }
132   PetscFunctionReturn(0);
133 }
134 
135 #undef __FUNCT__
136 #define __FUNCT__ "MatRestoreColumnIJ_SeqAIJ"
137 PetscErrorCode MatRestoreColumnIJ_SeqAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscTruth inodecompressed,PetscInt *n,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
138 {
139   PetscErrorCode ierr;
140 
141   PetscFunctionBegin;
142   if (!ia) PetscFunctionReturn(0);
143 
144   ierr = PetscFree(*ia);CHKERRQ(ierr);
145   ierr = PetscFree(*ja);CHKERRQ(ierr);
146 
147   PetscFunctionReturn(0);
148 }
149 
150 #undef __FUNCT__
151 #define __FUNCT__ "MatSetValuesRow_SeqAIJ"
152 PetscErrorCode MatSetValuesRow_SeqAIJ(Mat A,PetscInt row,const PetscScalar v[])
153 {
154   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
155   PetscInt       *ai = a->i;
156   PetscErrorCode ierr;
157 
158   PetscFunctionBegin;
159   ierr = PetscMemcpy(a->a+ai[row],v,(ai[row+1]-ai[row])*sizeof(PetscScalar));CHKERRQ(ierr);
160   PetscFunctionReturn(0);
161 }
162 
163 #undef __FUNCT__
164 #define __FUNCT__ "MatSetValues_SeqAIJ"
165 PetscErrorCode MatSetValues_SeqAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
166 {
167   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
168   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
169   PetscInt       *imax = a->imax,*ai = a->i,*ailen = a->ilen;
170   PetscErrorCode ierr;
171   PetscInt       *aj = a->j,nonew = a->nonew,lastcol = -1;
172   MatScalar      *ap,value,*aa = a->a;
173   PetscTruth     ignorezeroentries = a->ignorezeroentries;
174   PetscTruth     roworiented = a->roworiented;
175 
176   PetscFunctionBegin;
177   if (v) PetscValidScalarPointer(v,6);
178   for (k=0; k<m; k++) { /* loop over added rows */
179     row  = im[k];
180     if (row < 0) continue;
181 #if defined(PETSC_USE_DEBUG)
182     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);
183 #endif
184     rp   = aj + ai[row]; ap = aa + ai[row];
185     rmax = imax[row]; nrow = ailen[row];
186     low  = 0;
187     high = nrow;
188     for (l=0; l<n; l++) { /* loop over added columns */
189       if (in[l] < 0) continue;
190 #if defined(PETSC_USE_DEBUG)
191       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);
192 #endif
193       col = in[l];
194       if (v) {
195 	if (roworiented) {
196 	  value = v[l + k*n];
197 	} else {
198 	  value = v[k + l*m];
199 	}
200       } else {
201         value = 0.;
202       }
203       if (value == 0.0 && ignorezeroentries && (is == ADD_VALUES)) continue;
204 
205       if (col <= lastcol) low = 0; else high = nrow;
206       lastcol = col;
207       while (high-low > 5) {
208         t = (low+high)/2;
209         if (rp[t] > col) high = t;
210         else             low  = t;
211       }
212       for (i=low; i<high; i++) {
213         if (rp[i] > col) break;
214         if (rp[i] == col) {
215           if (is == ADD_VALUES) ap[i] += value;
216           else                  ap[i] = value;
217           low = i + 1;
218           goto noinsert;
219         }
220       }
221       if (value == 0.0 && ignorezeroentries) goto noinsert;
222       if (nonew == 1) goto noinsert;
223       if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero at (%D,%D) in the matrix",row,col);
224       MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
225       N = nrow++ - 1; a->nz++; high++;
226       /* shift up all the later entries in this row */
227       for (ii=N; ii>=i; ii--) {
228         rp[ii+1] = rp[ii];
229         ap[ii+1] = ap[ii];
230       }
231       rp[i] = col;
232       ap[i] = value;
233       low   = i + 1;
234       noinsert:;
235     }
236     ailen[row] = nrow;
237   }
238   A->same_nonzero = PETSC_FALSE;
239   PetscFunctionReturn(0);
240 }
241 
242 
243 #undef __FUNCT__
244 #define __FUNCT__ "MatGetValues_SeqAIJ"
245 PetscErrorCode MatGetValues_SeqAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],PetscScalar v[])
246 {
247   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data;
248   PetscInt     *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
249   PetscInt     *ai = a->i,*ailen = a->ilen;
250   MatScalar    *ap,*aa = a->a;
251 
252   PetscFunctionBegin;
253   for (k=0; k<m; k++) { /* loop over rows */
254     row  = im[k];
255     if (row < 0) {v += n; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",row); */
256     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);
257     rp   = aj + ai[row]; ap = aa + ai[row];
258     nrow = ailen[row];
259     for (l=0; l<n; l++) { /* loop over columns */
260       if (in[l] < 0) {v++; continue;} /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column: %D",in[l]); */
261       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);
262       col = in[l] ;
263       high = nrow; low = 0; /* assume unsorted */
264       while (high-low > 5) {
265         t = (low+high)/2;
266         if (rp[t] > col) high = t;
267         else             low  = t;
268       }
269       for (i=low; i<high; i++) {
270         if (rp[i] > col) break;
271         if (rp[i] == col) {
272           *v++ = ap[i];
273           goto finished;
274         }
275       }
276       *v++ = 0.0;
277       finished:;
278     }
279   }
280   PetscFunctionReturn(0);
281 }
282 
283 
284 #undef __FUNCT__
285 #define __FUNCT__ "MatView_SeqAIJ_Binary"
286 PetscErrorCode MatView_SeqAIJ_Binary(Mat A,PetscViewer viewer)
287 {
288   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
289   PetscErrorCode ierr;
290   PetscInt       i,*col_lens;
291   int            fd;
292 
293   PetscFunctionBegin;
294   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
295   ierr = PetscMalloc((4+A->rmap->n)*sizeof(PetscInt),&col_lens);CHKERRQ(ierr);
296   col_lens[0] = MAT_FILE_CLASSID;
297   col_lens[1] = A->rmap->n;
298   col_lens[2] = A->cmap->n;
299   col_lens[3] = a->nz;
300 
301   /* store lengths of each row and write (including header) to file */
302   for (i=0; i<A->rmap->n; i++) {
303     col_lens[4+i] = a->i[i+1] - a->i[i];
304   }
305   ierr = PetscBinaryWrite(fd,col_lens,4+A->rmap->n,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
306   ierr = PetscFree(col_lens);CHKERRQ(ierr);
307 
308   /* store column indices (zero start index) */
309   ierr = PetscBinaryWrite(fd,a->j,a->nz,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
310 
311   /* store nonzero values */
312   ierr = PetscBinaryWrite(fd,a->a,a->nz,PETSC_SCALAR,PETSC_FALSE);CHKERRQ(ierr);
313   PetscFunctionReturn(0);
314 }
315 
316 EXTERN PetscErrorCode MatSeqAIJFactorInfo_Matlab(Mat,PetscViewer);
317 
318 #undef __FUNCT__
319 #define __FUNCT__ "MatView_SeqAIJ_ASCII"
320 PetscErrorCode MatView_SeqAIJ_ASCII(Mat A,PetscViewer viewer)
321 {
322   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
323   PetscErrorCode    ierr;
324   PetscInt          i,j,m = A->rmap->n,shift=0;
325   const char        *name;
326   PetscViewerFormat format;
327 
328   PetscFunctionBegin;
329   ierr = PetscObjectGetName((PetscObject)A,&name);CHKERRQ(ierr);
330   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
331   if (format == PETSC_VIEWER_ASCII_MATLAB) {
332     PetscInt nofinalvalue = 0;
333     if ((a->i[m] == a->i[m-1]) || (a->j[a->nz-1] != A->cmap->n-!shift)) {
334       nofinalvalue = 1;
335     }
336     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
337     ierr = PetscViewerASCIIPrintf(viewer,"%% Size = %D %D \n",m,A->cmap->n);CHKERRQ(ierr);
338     ierr = PetscViewerASCIIPrintf(viewer,"%% Nonzeros = %D \n",a->nz);CHKERRQ(ierr);
339     ierr = PetscViewerASCIIPrintf(viewer,"zzz = zeros(%D,3);\n",a->nz+nofinalvalue);CHKERRQ(ierr);
340     ierr = PetscViewerASCIIPrintf(viewer,"zzz = [\n");CHKERRQ(ierr);
341 
342     for (i=0; i<m; i++) {
343       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
344 #if defined(PETSC_USE_COMPLEX)
345         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);
346 #else
347         ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e\n",i+1,a->j[j]+!shift,a->a[j]);CHKERRQ(ierr);
348 #endif
349       }
350     }
351     if (nofinalvalue) {
352       ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e\n",m,A->cmap->n,0.0);CHKERRQ(ierr);
353     }
354     ierr = PetscViewerASCIIPrintf(viewer,"];\n %s = spconvert(zzz);\n",name);CHKERRQ(ierr);
355     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
356   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO || format == PETSC_VIEWER_ASCII_INFO) {
357      PetscFunctionReturn(0);
358   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
359     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
360     for (i=0; i<m; i++) {
361       ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
362       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
363 #if defined(PETSC_USE_COMPLEX)
364         if (PetscImaginaryPart(a->a[j]) > 0.0 && PetscRealPart(a->a[j]) != 0.0) {
365           ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %G i)",a->j[j]+shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
366         } else if (PetscImaginaryPart(a->a[j]) < 0.0 && PetscRealPart(a->a[j]) != 0.0) {
367           ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %G i)",a->j[j]+shift,PetscRealPart(a->a[j]),-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
368         } else if (PetscRealPart(a->a[j]) != 0.0) {
369           ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",a->j[j]+shift,PetscRealPart(a->a[j]));CHKERRQ(ierr);
370         }
371 #else
372         if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",a->j[j]+shift,a->a[j]);CHKERRQ(ierr);}
373 #endif
374       }
375       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
376     }
377     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
378   } else if (format == PETSC_VIEWER_ASCII_SYMMODU) {
379     PetscInt nzd=0,fshift=1,*sptr;
380     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
381     ierr = PetscMalloc((m+1)*sizeof(PetscInt),&sptr);CHKERRQ(ierr);
382     for (i=0; i<m; i++) {
383       sptr[i] = nzd+1;
384       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
385         if (a->j[j] >= i) {
386 #if defined(PETSC_USE_COMPLEX)
387           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) nzd++;
388 #else
389           if (a->a[j] != 0.0) nzd++;
390 #endif
391         }
392       }
393     }
394     sptr[m] = nzd+1;
395     ierr = PetscViewerASCIIPrintf(viewer," %D %D\n\n",m,nzd);CHKERRQ(ierr);
396     for (i=0; i<m+1; i+=6) {
397       if (i+4<m) {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);}
398       else if (i+3<m) {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);}
399       else if (i+2<m) {ierr = PetscViewerASCIIPrintf(viewer," %D %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2],sptr[i+3]);CHKERRQ(ierr);}
400       else if (i+1<m) {ierr = PetscViewerASCIIPrintf(viewer," %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2]);CHKERRQ(ierr);}
401       else if (i<m)   {ierr = PetscViewerASCIIPrintf(viewer," %D %D\n",sptr[i],sptr[i+1]);CHKERRQ(ierr);}
402       else            {ierr = PetscViewerASCIIPrintf(viewer," %D\n",sptr[i]);CHKERRQ(ierr);}
403     }
404     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
405     ierr = PetscFree(sptr);CHKERRQ(ierr);
406     for (i=0; i<m; i++) {
407       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
408         if (a->j[j] >= i) {ierr = PetscViewerASCIIPrintf(viewer," %D ",a->j[j]+fshift);CHKERRQ(ierr);}
409       }
410       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
411     }
412     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
413     for (i=0; i<m; i++) {
414       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
415         if (a->j[j] >= i) {
416 #if defined(PETSC_USE_COMPLEX)
417           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) {
418             ierr = PetscViewerASCIIPrintf(viewer," %18.16e %18.16e ",PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
419           }
420 #else
421           if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," %18.16e ",a->a[j]);CHKERRQ(ierr);}
422 #endif
423         }
424       }
425       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
426     }
427     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
428   } else if (format == PETSC_VIEWER_ASCII_DENSE) {
429     PetscInt         cnt = 0,jcnt;
430     PetscScalar value;
431 
432     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
433     for (i=0; i<m; i++) {
434       jcnt = 0;
435       for (j=0; j<A->cmap->n; j++) {
436         if (jcnt < a->i[i+1]-a->i[i] && j == a->j[cnt]) {
437           value = a->a[cnt++];
438           jcnt++;
439         } else {
440           value = 0.0;
441         }
442 #if defined(PETSC_USE_COMPLEX)
443         ierr = PetscViewerASCIIPrintf(viewer," %7.5e+%7.5e i ",PetscRealPart(value),PetscImaginaryPart(value));CHKERRQ(ierr);
444 #else
445         ierr = PetscViewerASCIIPrintf(viewer," %7.5e ",value);CHKERRQ(ierr);
446 #endif
447       }
448       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
449     }
450     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
451   } else if (format == PETSC_VIEWER_ASCII_MATRIXMARKET) {
452     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
453 #if defined(PETSC_USE_COMPLEX)
454     ierr = PetscViewerASCIIPrintf(viewer,"%%matrix complex general\n");CHKERRQ(ierr);
455 #else
456     ierr = PetscViewerASCIIPrintf(viewer,"%%matrix real general\n");CHKERRQ(ierr);
457 #endif
458     ierr = PetscViewerASCIIPrintf(viewer,"%D %D %D\n", m, A->cmap->n, a->nz);CHKERRQ(ierr);
459     for (i=0; i<m; i++) {
460       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
461 #if defined(PETSC_USE_COMPLEX)
462         if (PetscImaginaryPart(a->a[j]) > 0.0) {
463           ierr = PetscViewerASCIIPrintf(viewer,"%D %D, %G %G\n", i+shift,a->j[j]+shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
464         } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
465           ierr = PetscViewerASCIIPrintf(viewer,"%D %D, %G -%G\n", i+shift,a->j[j]+shift,PetscRealPart(a->a[j]),-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
466         } else {
467           ierr = PetscViewerASCIIPrintf(viewer,"%D %D, %G\n", i+shift,a->j[j]+shift,PetscRealPart(a->a[j]));CHKERRQ(ierr);
468         }
469 #else
470         ierr = PetscViewerASCIIPrintf(viewer,"%D %D %G\n", i+shift, a->j[j]+shift, a->a[j]);CHKERRQ(ierr);
471 #endif
472       }
473     }
474     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
475   } else {
476     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
477     if (A->factortype){
478       for (i=0; i<m; i++) {
479         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
480         /* L part */
481 	for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
482 #if defined(PETSC_USE_COMPLEX)
483           if (PetscImaginaryPart(a->a[j]) > 0.0) {
484             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %G i)",a->j[j]+shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
485           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
486             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %G i)",a->j[j]+shift,PetscRealPart(a->a[j]),-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
487           } else {
488             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",a->j[j]+shift,PetscRealPart(a->a[j]));CHKERRQ(ierr);
489           }
490 #else
491           ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",a->j[j]+shift,a->a[j]);CHKERRQ(ierr);
492 #endif
493         }
494 	/* diagonal */
495 	j = a->diag[i];
496 #if defined(PETSC_USE_COMPLEX)
497         if (PetscImaginaryPart(a->a[j]) > 0.0) {
498             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %G i)",a->j[j]+shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
499           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
500             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %G i)",a->j[j]+shift,PetscRealPart(a->a[j]),-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
501           } else {
502             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",a->j[j]+shift,PetscRealPart(a->a[j]));CHKERRQ(ierr);
503           }
504 #else
505           ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",a->j[j]+shift,a->a[j]);CHKERRQ(ierr);
506 #endif
507 
508 	/* U part */
509 	for (j=a->diag[i+1]+1+shift; j<a->diag[i]+shift; j++) {
510 #if defined(PETSC_USE_COMPLEX)
511           if (PetscImaginaryPart(a->a[j]) > 0.0) {
512             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %G i)",a->j[j]+shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
513           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
514             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %G i)",a->j[j]+shift,PetscRealPart(a->a[j]),-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
515           } else {
516             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",a->j[j]+shift,PetscRealPart(a->a[j]));CHKERRQ(ierr);
517           }
518 #else
519           ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",a->j[j]+shift,a->a[j]);CHKERRQ(ierr);
520 #endif
521 }
522 	  ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
523         }
524     } else {
525       for (i=0; i<m; i++) {
526         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
527         for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
528 #if defined(PETSC_USE_COMPLEX)
529           if (PetscImaginaryPart(a->a[j]) > 0.0) {
530             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %G i)",a->j[j]+shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
531           } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
532             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %G i)",a->j[j]+shift,PetscRealPart(a->a[j]),-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
533           } else {
534             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",a->j[j]+shift,PetscRealPart(a->a[j]));CHKERRQ(ierr);
535           }
536 #else
537           ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",a->j[j]+shift,a->a[j]);CHKERRQ(ierr);
538 #endif
539         }
540         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
541       }
542     }
543     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
544   }
545   ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
546   PetscFunctionReturn(0);
547 }
548 
549 #undef __FUNCT__
550 #define __FUNCT__ "MatView_SeqAIJ_Draw_Zoom"
551 PetscErrorCode MatView_SeqAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
552 {
553   Mat               A = (Mat) Aa;
554   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
555   PetscErrorCode    ierr;
556   PetscInt          i,j,m = A->rmap->n,color;
557   PetscReal         xl,yl,xr,yr,x_l,x_r,y_l,y_r,maxv = 0.0;
558   PetscViewer       viewer;
559   PetscViewerFormat format;
560 
561   PetscFunctionBegin;
562   ierr = PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer);CHKERRQ(ierr);
563   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
564 
565   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
566   /* loop over matrix elements drawing boxes */
567 
568   if (format != PETSC_VIEWER_DRAW_CONTOUR) {
569     /* Blue for negative, Cyan for zero and  Red for positive */
570     color = PETSC_DRAW_BLUE;
571     for (i=0; i<m; i++) {
572       y_l = m - i - 1.0; y_r = y_l + 1.0;
573       for (j=a->i[i]; j<a->i[i+1]; j++) {
574         x_l = a->j[j] ; x_r = x_l + 1.0;
575 #if defined(PETSC_USE_COMPLEX)
576         if (PetscRealPart(a->a[j]) >=  0.) continue;
577 #else
578         if (a->a[j] >=  0.) continue;
579 #endif
580         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
581       }
582     }
583     color = PETSC_DRAW_CYAN;
584     for (i=0; i<m; i++) {
585       y_l = m - i - 1.0; y_r = y_l + 1.0;
586       for (j=a->i[i]; j<a->i[i+1]; j++) {
587         x_l = a->j[j]; x_r = x_l + 1.0;
588         if (a->a[j] !=  0.) continue;
589         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
590       }
591     }
592     color = PETSC_DRAW_RED;
593     for (i=0; i<m; i++) {
594       y_l = m - i - 1.0; y_r = y_l + 1.0;
595       for (j=a->i[i]; j<a->i[i+1]; j++) {
596         x_l = a->j[j]; x_r = x_l + 1.0;
597 #if defined(PETSC_USE_COMPLEX)
598         if (PetscRealPart(a->a[j]) <=  0.) continue;
599 #else
600         if (a->a[j] <=  0.) continue;
601 #endif
602         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
603       }
604     }
605   } else {
606     /* use contour shading to indicate magnitude of values */
607     /* first determine max of all nonzero values */
608     PetscInt    nz = a->nz,count;
609     PetscDraw   popup;
610     PetscReal scale;
611 
612     for (i=0; i<nz; i++) {
613       if (PetscAbsScalar(a->a[i]) > maxv) maxv = PetscAbsScalar(a->a[i]);
614     }
615     scale = (245.0 - PETSC_DRAW_BASIC_COLORS)/maxv;
616     ierr  = PetscDrawGetPopup(draw,&popup);CHKERRQ(ierr);
617     if (popup) {ierr  = PetscDrawScalePopup(popup,0.0,maxv);CHKERRQ(ierr);}
618     count = 0;
619     for (i=0; i<m; i++) {
620       y_l = m - i - 1.0; y_r = y_l + 1.0;
621       for (j=a->i[i]; j<a->i[i+1]; j++) {
622         x_l = a->j[j]; x_r = x_l + 1.0;
623         color = PETSC_DRAW_BASIC_COLORS + (PetscInt)(scale*PetscAbsScalar(a->a[count]));
624         ierr  = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
625         count++;
626       }
627     }
628   }
629   PetscFunctionReturn(0);
630 }
631 
632 #undef __FUNCT__
633 #define __FUNCT__ "MatView_SeqAIJ_Draw"
634 PetscErrorCode MatView_SeqAIJ_Draw(Mat A,PetscViewer viewer)
635 {
636   PetscErrorCode ierr;
637   PetscDraw      draw;
638   PetscReal      xr,yr,xl,yl,h,w;
639   PetscTruth     isnull;
640 
641   PetscFunctionBegin;
642   ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
643   ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr);
644   if (isnull) PetscFunctionReturn(0);
645 
646   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer);CHKERRQ(ierr);
647   xr  = A->cmap->n; yr = A->rmap->n; h = yr/10.0; w = xr/10.0;
648   xr += w;    yr += h;  xl = -w;     yl = -h;
649   ierr = PetscDrawSetCoordinates(draw,xl,yl,xr,yr);CHKERRQ(ierr);
650   ierr = PetscDrawZoom(draw,MatView_SeqAIJ_Draw_Zoom,A);CHKERRQ(ierr);
651   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",PETSC_NULL);CHKERRQ(ierr);
652   PetscFunctionReturn(0);
653 }
654 
655 #undef __FUNCT__
656 #define __FUNCT__ "MatView_SeqAIJ"
657 PetscErrorCode MatView_SeqAIJ(Mat A,PetscViewer viewer)
658 {
659   PetscErrorCode ierr;
660   PetscTruth     iascii,isbinary,isdraw;
661 
662   PetscFunctionBegin;
663   ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
664   ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
665   ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
666   if (iascii) {
667     ierr = MatView_SeqAIJ_ASCII(A,viewer);CHKERRQ(ierr);
668   } else if (isbinary) {
669     ierr = MatView_SeqAIJ_Binary(A,viewer);CHKERRQ(ierr);
670   } else if (isdraw) {
671     ierr = MatView_SeqAIJ_Draw(A,viewer);CHKERRQ(ierr);
672   } else {
673     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Viewer type %s not supported by SeqAIJ matrices",((PetscObject)viewer)->type_name);
674   }
675   ierr = MatView_SeqAIJ_Inode(A,viewer);CHKERRQ(ierr);
676   PetscFunctionReturn(0);
677 }
678 
679 #undef __FUNCT__
680 #define __FUNCT__ "MatAssemblyEnd_SeqAIJ"
681 PetscErrorCode MatAssemblyEnd_SeqAIJ(Mat A,MatAssemblyType mode)
682 {
683   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
684   PetscErrorCode ierr;
685   PetscInt       fshift = 0,i,j,*ai = a->i,*aj = a->j,*imax = a->imax;
686   PetscInt       m = A->rmap->n,*ip,N,*ailen = a->ilen,rmax = 0;
687   MatScalar      *aa = a->a,*ap;
688   PetscReal      ratio=0.6;
689 
690   PetscFunctionBegin;
691   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
692 
693   if (m) rmax = ailen[0]; /* determine row with most nonzeros */
694   for (i=1; i<m; i++) {
695     /* move each row back by the amount of empty slots (fshift) before it*/
696     fshift += imax[i-1] - ailen[i-1];
697     rmax   = PetscMax(rmax,ailen[i]);
698     if (fshift) {
699       ip = aj + ai[i] ;
700       ap = aa + ai[i] ;
701       N  = ailen[i];
702       for (j=0; j<N; j++) {
703         ip[j-fshift] = ip[j];
704         ap[j-fshift] = ap[j];
705       }
706     }
707     ai[i] = ai[i-1] + ailen[i-1];
708   }
709   if (m) {
710     fshift += imax[m-1] - ailen[m-1];
711     ai[m]  = ai[m-1] + ailen[m-1];
712   }
713   /* reset ilen and imax for each row */
714   for (i=0; i<m; i++) {
715     ailen[i] = imax[i] = ai[i+1] - ai[i];
716   }
717   a->nz = ai[m];
718   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);
719 
720   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
721   ierr = PetscInfo4(A,"Matrix size: %D X %D; storage space: %D unneeded,%D used\n",m,A->cmap->n,fshift,a->nz);CHKERRQ(ierr);
722   ierr = PetscInfo1(A,"Number of mallocs during MatSetValues() is %D\n",a->reallocs);CHKERRQ(ierr);
723   ierr = PetscInfo1(A,"Maximum nonzeros in any row is %D\n",rmax);CHKERRQ(ierr);
724   A->info.mallocs     += a->reallocs;
725   a->reallocs          = 0;
726   A->info.nz_unneeded  = (double)fshift;
727   a->rmax              = rmax;
728 
729   /* check for zero rows. If found a large number of zero rows, use CompressedRow functions */
730   ierr = Mat_CheckCompressedRow(A,&a->compressedrow,a->i,m,ratio);CHKERRQ(ierr);
731   A->same_nonzero = PETSC_TRUE;
732 
733   ierr = MatAssemblyEnd_SeqAIJ_Inode(A,mode);CHKERRQ(ierr);
734 
735   a->idiagvalid = PETSC_FALSE;
736   PetscFunctionReturn(0);
737 }
738 
739 #undef __FUNCT__
740 #define __FUNCT__ "MatRealPart_SeqAIJ"
741 PetscErrorCode MatRealPart_SeqAIJ(Mat A)
742 {
743   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
744   PetscInt       i,nz = a->nz;
745   MatScalar      *aa = a->a;
746 
747   PetscFunctionBegin;
748   for (i=0; i<nz; i++) aa[i] = PetscRealPart(aa[i]);
749   PetscFunctionReturn(0);
750 }
751 
752 #undef __FUNCT__
753 #define __FUNCT__ "MatImaginaryPart_SeqAIJ"
754 PetscErrorCode MatImaginaryPart_SeqAIJ(Mat A)
755 {
756   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
757   PetscInt       i,nz = a->nz;
758   MatScalar      *aa = a->a;
759 
760   PetscFunctionBegin;
761   for (i=0; i<nz; i++) aa[i] = PetscImaginaryPart(aa[i]);
762   PetscFunctionReturn(0);
763 }
764 
765 #undef __FUNCT__
766 #define __FUNCT__ "MatZeroEntries_SeqAIJ"
767 PetscErrorCode MatZeroEntries_SeqAIJ(Mat A)
768 {
769   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
770   PetscErrorCode ierr;
771 
772   PetscFunctionBegin;
773   ierr = PetscMemzero(a->a,(a->i[A->rmap->n])*sizeof(PetscScalar));CHKERRQ(ierr);
774   PetscFunctionReturn(0);
775 }
776 
777 #undef __FUNCT__
778 #define __FUNCT__ "MatDestroy_SeqAIJ"
779 PetscErrorCode MatDestroy_SeqAIJ(Mat A)
780 {
781   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
782   PetscErrorCode ierr;
783 
784   PetscFunctionBegin;
785 #if defined(PETSC_USE_LOG)
786   PetscLogObjectState((PetscObject)A,"Rows=%D, Cols=%D, NZ=%D",A->rmap->n,A->cmap->n,a->nz);
787 #endif
788   ierr = MatSeqXAIJFreeAIJ(A,&a->a,&a->j,&a->i);CHKERRQ(ierr);
789   if (a->row) {
790     ierr = ISDestroy(a->row);CHKERRQ(ierr);
791   }
792   if (a->col) {
793     ierr = ISDestroy(a->col);CHKERRQ(ierr);
794   }
795   ierr = PetscFree(a->diag);CHKERRQ(ierr);
796   ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);
797   ierr = PetscFree3(a->idiag,a->mdiag,a->ssor_work);CHKERRQ(ierr);
798   ierr = PetscFree(a->solve_work);CHKERRQ(ierr);
799   if (a->icol) {ierr = ISDestroy(a->icol);CHKERRQ(ierr);}
800   ierr = PetscFree(a->saved_values);CHKERRQ(ierr);
801   if (a->coloring) {ierr = ISColoringDestroy(a->coloring);CHKERRQ(ierr);}
802   ierr = PetscFree(a->xtoy);CHKERRQ(ierr);
803   if (a->XtoY) {ierr = MatDestroy(a->XtoY);CHKERRQ(ierr);}
804   if (a->compressedrow.checked && a->compressedrow.use){ierr = PetscFree2(a->compressedrow.i,a->compressedrow.rindex);}
805 
806   ierr = MatDestroy_SeqAIJ_Inode(A);CHKERRQ(ierr);
807 
808   ierr = PetscFree(a);CHKERRQ(ierr);
809 
810   ierr = PetscObjectChangeTypeName((PetscObject)A,0);CHKERRQ(ierr);
811   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatSeqAIJSetColumnIndices_C","",PETSC_NULL);CHKERRQ(ierr);
812   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatStoreValues_C","",PETSC_NULL);CHKERRQ(ierr);
813   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatRetrieveValues_C","",PETSC_NULL);CHKERRQ(ierr);
814   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatConvert_seqaij_seqsbaij_C","",PETSC_NULL);CHKERRQ(ierr);
815   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatConvert_seqaij_seqbaij_C","",PETSC_NULL);CHKERRQ(ierr);
816   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatConvert_seqaij_seqaijperm_C","",PETSC_NULL);CHKERRQ(ierr);
817   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatIsTranspose_C","",PETSC_NULL);CHKERRQ(ierr);
818   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatSeqAIJSetPreallocation_C","",PETSC_NULL);CHKERRQ(ierr);
819   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatSeqAIJSetPreallocationCSR_C","",PETSC_NULL);CHKERRQ(ierr);
820   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatReorderForNonzeroDiagonal_C","",PETSC_NULL);CHKERRQ(ierr);
821   PetscFunctionReturn(0);
822 }
823 
824 #undef __FUNCT__
825 #define __FUNCT__ "MatSetOption_SeqAIJ"
826 PetscErrorCode MatSetOption_SeqAIJ(Mat A,MatOption op,PetscTruth flg)
827 {
828   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
829   PetscErrorCode ierr;
830 
831   PetscFunctionBegin;
832   switch (op) {
833     case MAT_ROW_ORIENTED:
834       a->roworiented       = flg;
835       break;
836     case MAT_KEEP_NONZERO_PATTERN:
837       a->keepnonzeropattern    = flg;
838       break;
839     case MAT_NEW_NONZERO_LOCATIONS:
840       a->nonew             = (flg ? 0 : 1);
841       break;
842     case MAT_NEW_NONZERO_LOCATION_ERR:
843       a->nonew             = (flg ? -1 : 0);
844       break;
845     case MAT_NEW_NONZERO_ALLOCATION_ERR:
846       a->nonew             = (flg ? -2 : 0);
847       break;
848     case MAT_UNUSED_NONZERO_LOCATION_ERR:
849       a->nounused          = (flg ? -1 : 0);
850       break;
851     case MAT_IGNORE_ZERO_ENTRIES:
852       a->ignorezeroentries = flg;
853       break;
854     case MAT_USE_COMPRESSEDROW:
855       a->compressedrow.use = flg;
856       break;
857     case MAT_SPD:
858       A->spd_set                         = PETSC_TRUE;
859       A->spd                             = flg;
860       if (flg) {
861         A->symmetric                     = PETSC_TRUE;
862         A->structurally_symmetric        = PETSC_TRUE;
863         A->symmetric_set                 = PETSC_TRUE;
864         A->structurally_symmetric_set    = PETSC_TRUE;
865       }
866       break;
867     case MAT_SYMMETRIC:
868     case MAT_STRUCTURALLY_SYMMETRIC:
869     case MAT_HERMITIAN:
870     case MAT_SYMMETRY_ETERNAL:
871     case MAT_NEW_DIAGONALS:
872     case MAT_IGNORE_OFF_PROC_ENTRIES:
873     case MAT_USE_HASH_TABLE:
874       ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
875       break;
876     case MAT_USE_INODES:
877       /* Not an error because MatSetOption_SeqAIJ_Inode handles this one */
878       break;
879     default:
880       SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
881   }
882   ierr = MatSetOption_SeqAIJ_Inode(A,op,flg);CHKERRQ(ierr);
883   PetscFunctionReturn(0);
884 }
885 
886 #undef __FUNCT__
887 #define __FUNCT__ "MatGetDiagonal_SeqAIJ"
888 PetscErrorCode MatGetDiagonal_SeqAIJ(Mat A,Vec v)
889 {
890   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
891   PetscErrorCode ierr;
892   PetscInt       i,j,n,*ai=a->i,*aj=a->j,nz;
893   PetscScalar    *aa=a->a,*x,zero=0.0;
894 
895   PetscFunctionBegin;
896   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
897   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
898 
899   if (A->factortype == MAT_FACTOR_ILU || A->factortype == MAT_FACTOR_LU){
900     PetscInt *diag=a->diag;
901     ierr = VecGetArray(v,&x);CHKERRQ(ierr);
902     for (i=0; i<n; i++) x[i] = aa[diag[i]];
903     ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
904     PetscFunctionReturn(0);
905   }
906 
907   ierr = VecSet(v,zero);CHKERRQ(ierr);
908   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
909   for (i=0; i<n; i++) {
910     nz = ai[i+1] - ai[i];
911     if (!nz) x[i] = 0.0;
912     for (j=ai[i]; j<ai[i+1]; j++){
913       if (aj[j] == i) {
914         x[i] = aa[j];
915         break;
916       }
917     }
918   }
919   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
920   PetscFunctionReturn(0);
921 }
922 
923 #include "../src/mat/impls/aij/seq/ftn-kernels/fmult.h"
924 #undef __FUNCT__
925 #define __FUNCT__ "MatMultTransposeAdd_SeqAIJ"
926 PetscErrorCode MatMultTransposeAdd_SeqAIJ(Mat A,Vec xx,Vec zz,Vec yy)
927 {
928   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
929   PetscScalar       *x,*y;
930   PetscErrorCode    ierr;
931   PetscInt          m = A->rmap->n;
932 #if !defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
933   MatScalar         *v;
934   PetscScalar       alpha;
935   PetscInt          n,i,j,*idx,*ii,*ridx=PETSC_NULL;
936   Mat_CompressedRow cprow = a->compressedrow;
937   PetscTruth        usecprow = cprow.use;
938 #endif
939 
940   PetscFunctionBegin;
941   if (zz != yy) {ierr = VecCopy(zz,yy);CHKERRQ(ierr);}
942   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
943   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
944 
945 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
946   fortranmulttransposeaddaij_(&m,x,a->i,a->j,a->a,y);
947 #else
948   if (usecprow){
949     m    = cprow.nrows;
950     ii   = cprow.i;
951     ridx = cprow.rindex;
952   } else {
953     ii = a->i;
954   }
955   for (i=0; i<m; i++) {
956     idx   = a->j + ii[i] ;
957     v     = a->a + ii[i] ;
958     n     = ii[i+1] - ii[i];
959     if (usecprow){
960       alpha = x[ridx[i]];
961     } else {
962       alpha = x[i];
963     }
964     for (j=0; j<n; j++) y[idx[j]] += alpha*v[j];
965   }
966 #endif
967   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
968   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
969   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
970   PetscFunctionReturn(0);
971 }
972 
973 #undef __FUNCT__
974 #define __FUNCT__ "MatMultTranspose_SeqAIJ"
975 PetscErrorCode MatMultTranspose_SeqAIJ(Mat A,Vec xx,Vec yy)
976 {
977   PetscErrorCode ierr;
978 
979   PetscFunctionBegin;
980   ierr = VecSet(yy,0.0);CHKERRQ(ierr);
981   ierr = MatMultTransposeAdd_SeqAIJ(A,xx,yy,yy);CHKERRQ(ierr);
982   PetscFunctionReturn(0);
983 }
984 
985 #include "../src/mat/impls/aij/seq/ftn-kernels/fmult.h"
986 #undef __FUNCT__
987 #define __FUNCT__ "MatMult_SeqAIJ"
988 PetscErrorCode MatMult_SeqAIJ(Mat A,Vec xx,Vec yy)
989 {
990   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
991   PetscScalar       *y;
992   const PetscScalar *x;
993   const MatScalar   *aa;
994   PetscErrorCode    ierr;
995   PetscInt          m=A->rmap->n;
996   const PetscInt    *aj,*ii,*ridx=PETSC_NULL;
997   PetscInt          n,i,nonzerorow=0;
998   PetscScalar       sum;
999   PetscTruth        usecprow=a->compressedrow.use;
1000 
1001 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
1002 #pragma disjoint(*x,*y,*aa)
1003 #endif
1004 
1005   PetscFunctionBegin;
1006   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1007   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1008   aj  = a->j;
1009   aa  = a->a;
1010   ii  = a->i;
1011   if (usecprow){ /* use compressed row format */
1012     m    = a->compressedrow.nrows;
1013     ii   = a->compressedrow.i;
1014     ridx = a->compressedrow.rindex;
1015     for (i=0; i<m; i++){
1016       n   = ii[i+1] - ii[i];
1017       aj  = a->j + ii[i];
1018       aa  = a->a + ii[i];
1019       sum = 0.0;
1020       nonzerorow += (n>0);
1021       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1022       /* for (j=0; j<n; j++) sum += (*aa++)*x[*aj++]; */
1023       y[*ridx++] = sum;
1024     }
1025   } else { /* do not use compressed row format */
1026 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTAIJ)
1027     fortranmultaij_(&m,x,ii,aj,aa,y);
1028 #else
1029     for (i=0; i<m; i++) {
1030       n   = ii[i+1] - ii[i];
1031       aj  = a->j + ii[i];
1032       aa  = a->a + ii[i];
1033       sum  = 0.0;
1034       nonzerorow += (n>0);
1035       PetscSparseDensePlusDot(sum,x,aa,aj,n);
1036       y[i] = sum;
1037     }
1038 #endif
1039   }
1040   ierr = PetscLogFlops(2.0*a->nz - nonzerorow);CHKERRQ(ierr);
1041   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1042   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1043   PetscFunctionReturn(0);
1044 }
1045 
1046 #include "../src/mat/impls/aij/seq/ftn-kernels/fmultadd.h"
1047 #undef __FUNCT__
1048 #define __FUNCT__ "MatMultAdd_SeqAIJ"
1049 PetscErrorCode MatMultAdd_SeqAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1050 {
1051   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
1052   PetscScalar     *x,*y,*z;
1053   const MatScalar *aa;
1054   PetscErrorCode  ierr;
1055   PetscInt        m = A->rmap->n,*aj,*ii;
1056 #if !defined(PETSC_USE_FORTRAN_KERNEL_MULTADDAIJ)
1057   PetscInt        n,i,jrow,j,*ridx=PETSC_NULL;
1058   PetscScalar     sum;
1059   PetscTruth      usecprow=a->compressedrow.use;
1060 #endif
1061 
1062   PetscFunctionBegin;
1063   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1064   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
1065   if (zz != yy) {
1066     ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
1067   } else {
1068     z = y;
1069   }
1070 
1071   aj  = a->j;
1072   aa  = a->a;
1073   ii  = a->i;
1074 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTADDAIJ)
1075   fortranmultaddaij_(&m,x,ii,aj,aa,y,z);
1076 #else
1077   if (usecprow){ /* use compressed row format */
1078     if (zz != yy){
1079       ierr = PetscMemcpy(z,y,m*sizeof(PetscScalar));CHKERRQ(ierr);
1080     }
1081     m    = a->compressedrow.nrows;
1082     ii   = a->compressedrow.i;
1083     ridx = a->compressedrow.rindex;
1084     for (i=0; i<m; i++){
1085       n  = ii[i+1] - ii[i];
1086       aj  = a->j + ii[i];
1087       aa  = a->a + ii[i];
1088       sum = y[*ridx];
1089       for (j=0; j<n; j++) sum += (*aa++)*x[*aj++];
1090       z[*ridx++] = sum;
1091     }
1092   } else { /* do not use compressed row format */
1093     for (i=0; i<m; i++) {
1094       jrow = ii[i];
1095       n    = ii[i+1] - jrow;
1096       sum  = y[i];
1097       for (j=0; j<n; j++) {
1098         sum += aa[jrow]*x[aj[jrow]]; jrow++;
1099       }
1100       z[i] = sum;
1101     }
1102   }
1103 #endif
1104   ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1105   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1106   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
1107   if (zz != yy) {
1108     ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
1109   }
1110 #if defined(PETSC_HAVE_CUDA)
1111   /*
1112   ierr = VecView(xx,0);CHKERRQ(ierr);
1113   ierr = VecView(zz,0);CHKERRQ(ierr);
1114   ierr = MatView(A,0);CHKERRQ(ierr);
1115   */
1116 #endif
1117   PetscFunctionReturn(0);
1118 }
1119 
1120 /*
1121      Adds diagonal pointers to sparse matrix structure.
1122 */
1123 #undef __FUNCT__
1124 #define __FUNCT__ "MatMarkDiagonal_SeqAIJ"
1125 PetscErrorCode MatMarkDiagonal_SeqAIJ(Mat A)
1126 {
1127   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1128   PetscErrorCode ierr;
1129   PetscInt       i,j,m = A->rmap->n;
1130 
1131   PetscFunctionBegin;
1132   if (!a->diag) {
1133     ierr = PetscMalloc(m*sizeof(PetscInt),&a->diag);CHKERRQ(ierr);
1134     ierr = PetscLogObjectMemory(A, m*sizeof(PetscInt));CHKERRQ(ierr);
1135   }
1136   for (i=0; i<A->rmap->n; i++) {
1137     a->diag[i] = a->i[i+1];
1138     for (j=a->i[i]; j<a->i[i+1]; j++) {
1139       if (a->j[j] == i) {
1140         a->diag[i] = j;
1141         break;
1142       }
1143     }
1144   }
1145   PetscFunctionReturn(0);
1146 }
1147 
1148 /*
1149      Checks for missing diagonals
1150 */
1151 #undef __FUNCT__
1152 #define __FUNCT__ "MatMissingDiagonal_SeqAIJ"
1153 PetscErrorCode MatMissingDiagonal_SeqAIJ(Mat A,PetscTruth *missing,PetscInt *d)
1154 {
1155   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1156   PetscInt       *diag,*jj = a->j,i;
1157 
1158   PetscFunctionBegin;
1159   *missing = PETSC_FALSE;
1160   if (A->rmap->n > 0 && !jj) {
1161     *missing  = PETSC_TRUE;
1162     if (d) *d = 0;
1163     PetscInfo(A,"Matrix has no entries therefor is missing diagonal");
1164   } else {
1165     diag = a->diag;
1166     for (i=0; i<A->rmap->n; i++) {
1167       if (jj[diag[i]] != i) {
1168 	*missing = PETSC_TRUE;
1169 	if (d) *d = i;
1170 	PetscInfo1(A,"Matrix is missing diagonal number %D",i);
1171       }
1172     }
1173   }
1174   PetscFunctionReturn(0);
1175 }
1176 
1177 EXTERN_C_BEGIN
1178 #undef __FUNCT__
1179 #define __FUNCT__ "MatInvertDiagonal_SeqAIJ"
1180 PetscErrorCode PETSCMAT_DLLEXPORT MatInvertDiagonal_SeqAIJ(Mat A,PetscScalar omega,PetscScalar fshift)
1181 {
1182   Mat_SeqAIJ     *a = (Mat_SeqAIJ*) A->data;
1183   PetscErrorCode ierr;
1184   PetscInt       i,*diag,m = A->rmap->n;
1185   MatScalar      *v = a->a;
1186   PetscScalar    *idiag,*mdiag;
1187 
1188   PetscFunctionBegin;
1189   if (a->idiagvalid) PetscFunctionReturn(0);
1190   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1191   diag = a->diag;
1192   if (!a->idiag) {
1193     ierr     = PetscMalloc3(m,PetscScalar,&a->idiag,m,PetscScalar,&a->mdiag,m,PetscScalar,&a->ssor_work);CHKERRQ(ierr);
1194     ierr     = PetscLogObjectMemory(A, 3*m*sizeof(PetscScalar));CHKERRQ(ierr);
1195     v        = a->a;
1196   }
1197   mdiag = a->mdiag;
1198   idiag = a->idiag;
1199 
1200   if (omega == 1.0 && !PetscAbsScalar(fshift)) {
1201     for (i=0; i<m; i++) {
1202       mdiag[i] = v[diag[i]];
1203       if (!PetscAbsScalar(mdiag[i])) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Zero diagonal on row %D",i);
1204       idiag[i] = 1.0/v[diag[i]];
1205     }
1206     ierr = PetscLogFlops(m);CHKERRQ(ierr);
1207   } else {
1208     for (i=0; i<m; i++) {
1209       mdiag[i] = v[diag[i]];
1210       idiag[i] = omega/(fshift + v[diag[i]]);
1211     }
1212     ierr = PetscLogFlops(2.0*m);CHKERRQ(ierr);
1213   }
1214   a->idiagvalid = PETSC_TRUE;
1215   PetscFunctionReturn(0);
1216 }
1217 EXTERN_C_END
1218 
1219 #include "../src/mat/impls/aij/seq/ftn-kernels/frelax.h"
1220 #undef __FUNCT__
1221 #define __FUNCT__ "MatSOR_SeqAIJ"
1222 PetscErrorCode MatSOR_SeqAIJ(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
1223 {
1224   Mat_SeqAIJ         *a = (Mat_SeqAIJ*)A->data;
1225   PetscScalar        *x,d,sum,*t,scale;
1226   const MatScalar    *v = a->a,*idiag=0,*mdiag;
1227   const PetscScalar  *b, *bs,*xb, *ts;
1228   PetscErrorCode     ierr;
1229   PetscInt           n = A->cmap->n,m = A->rmap->n,i;
1230   const PetscInt     *idx,*diag;
1231 
1232   PetscFunctionBegin;
1233   its = its*lits;
1234 
1235   if (fshift != a->fshift || omega != a->omega) a->idiagvalid = PETSC_FALSE; /* must recompute idiag[] */
1236   if (!a->idiagvalid) {ierr = MatInvertDiagonal_SeqAIJ(A,omega,fshift);CHKERRQ(ierr);}
1237   a->fshift = fshift;
1238   a->omega  = omega;
1239 
1240   diag = a->diag;
1241   t     = a->ssor_work;
1242   idiag = a->idiag;
1243   mdiag = a->mdiag;
1244 
1245   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1246   ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
1247   CHKMEMQ;
1248   /* We count flops by assuming the upper triangular and lower triangular parts have the same number of nonzeros */
1249   if (flag == SOR_APPLY_UPPER) {
1250    /* apply (U + D/omega) to the vector */
1251     bs = b;
1252     for (i=0; i<m; i++) {
1253         d    = fshift + mdiag[i];
1254         n    = a->i[i+1] - diag[i] - 1;
1255         idx  = a->j + diag[i] + 1;
1256         v    = a->a + diag[i] + 1;
1257         sum  = b[i]*d/omega;
1258         PetscSparseDensePlusDot(sum,bs,v,idx,n);
1259         x[i] = sum;
1260     }
1261     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1262     ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1263     ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1264     PetscFunctionReturn(0);
1265   }
1266 
1267   if (flag == SOR_APPLY_LOWER) {
1268     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SOR_APPLY_LOWER is not implemented");
1269   } else if (flag & SOR_EISENSTAT) {
1270     /* Let  A = L + U + D; where L is lower trianglar,
1271     U is upper triangular, E = D/omega; This routine applies
1272 
1273             (L + E)^{-1} A (U + E)^{-1}
1274 
1275     to a vector efficiently using Eisenstat's trick.
1276     */
1277     scale = (2.0/omega) - 1.0;
1278 
1279     /*  x = (E + U)^{-1} b */
1280     for (i=m-1; i>=0; i--) {
1281       n    = a->i[i+1] - diag[i] - 1;
1282       idx  = a->j + diag[i] + 1;
1283       v    = a->a + diag[i] + 1;
1284       sum  = b[i];
1285       PetscSparseDenseMinusDot(sum,x,v,idx,n);
1286       x[i] = sum*idiag[i];
1287     }
1288 
1289     /*  t = b - (2*E - D)x */
1290     v = a->a;
1291     for (i=0; i<m; i++) { t[i] = b[i] - scale*(v[*diag++])*x[i]; }
1292 
1293     /*  t = (E + L)^{-1}t */
1294     ts = t;
1295     diag = a->diag;
1296     for (i=0; i<m; i++) {
1297       n    = diag[i] - a->i[i];
1298       idx  = a->j + a->i[i];
1299       v    = a->a + a->i[i];
1300       sum  = t[i];
1301       PetscSparseDenseMinusDot(sum,ts,v,idx,n);
1302       t[i] = sum*idiag[i];
1303       /*  x = x + t */
1304       x[i] += t[i];
1305     }
1306 
1307     ierr = PetscLogFlops(6.0*m-1 + 2.0*a->nz);CHKERRQ(ierr);
1308     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1309     ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1310     PetscFunctionReturn(0);
1311   }
1312   if (flag & SOR_ZERO_INITIAL_GUESS) {
1313     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
1314       for (i=0; i<m; i++) {
1315         n    = diag[i] - a->i[i];
1316         idx  = a->j + a->i[i];
1317         v    = a->a + a->i[i];
1318         sum  = b[i];
1319         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1320         t[i] = sum;
1321         x[i] = sum*idiag[i];
1322       }
1323       xb = t;
1324       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1325     } else xb = b;
1326     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
1327       for (i=m-1; i>=0; i--) {
1328         n    = a->i[i+1] - diag[i] - 1;
1329         idx  = a->j + diag[i] + 1;
1330         v    = a->a + diag[i] + 1;
1331         sum  = xb[i];
1332         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1333         if (xb == b) {
1334           x[i] = sum*idiag[i];
1335         } else {
1336           x[i] = (1-omega)*x[i] + sum*idiag[i];
1337         }
1338       }
1339       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1340     }
1341     its--;
1342   }
1343   while (its--) {
1344     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
1345       for (i=0; i<m; i++) {
1346         n    = a->i[i+1] - a->i[i];
1347         idx  = a->j + a->i[i];
1348         v    = a->a + a->i[i];
1349         sum  = b[i];
1350         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1351         x[i] = (1. - omega)*x[i] + (sum + mdiag[i]*x[i])*idiag[i];
1352       }
1353       ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1354     }
1355     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
1356       for (i=m-1; i>=0; i--) {
1357         n    = a->i[i+1] - a->i[i];
1358         idx  = a->j + a->i[i];
1359         v    = a->a + a->i[i];
1360         sum  = b[i];
1361         PetscSparseDenseMinusDot(sum,x,v,idx,n);
1362         x[i] = (1. - omega)*x[i] + (sum + mdiag[i]*x[i])*idiag[i];
1363       }
1364       ierr = PetscLogFlops(2.0*a->nz);CHKERRQ(ierr);
1365     }
1366   }
1367   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1368   ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
1369   CHKMEMQ;  PetscFunctionReturn(0);
1370 }
1371 
1372 
1373 #undef __FUNCT__
1374 #define __FUNCT__ "MatGetInfo_SeqAIJ"
1375 PetscErrorCode MatGetInfo_SeqAIJ(Mat A,MatInfoType flag,MatInfo *info)
1376 {
1377   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1378 
1379   PetscFunctionBegin;
1380   info->block_size     = 1.0;
1381   info->nz_allocated   = (double)a->maxnz;
1382   info->nz_used        = (double)a->nz;
1383   info->nz_unneeded    = (double)(a->maxnz - a->nz);
1384   info->assemblies     = (double)A->num_ass;
1385   info->mallocs        = (double)A->info.mallocs;
1386   info->memory         = ((PetscObject)A)->mem;
1387   if (A->factortype) {
1388     info->fill_ratio_given  = A->info.fill_ratio_given;
1389     info->fill_ratio_needed = A->info.fill_ratio_needed;
1390     info->factor_mallocs    = A->info.factor_mallocs;
1391   } else {
1392     info->fill_ratio_given  = 0;
1393     info->fill_ratio_needed = 0;
1394     info->factor_mallocs    = 0;
1395   }
1396   PetscFunctionReturn(0);
1397 }
1398 
1399 #undef __FUNCT__
1400 #define __FUNCT__ "MatZeroRows_SeqAIJ"
1401 PetscErrorCode MatZeroRows_SeqAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag)
1402 {
1403   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1404   PetscInt       i,m = A->rmap->n - 1,d = 0;
1405   PetscErrorCode ierr;
1406   PetscTruth     missing;
1407 
1408   PetscFunctionBegin;
1409   if (a->keepnonzeropattern) {
1410     for (i=0; i<N; i++) {
1411       if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1412       ierr = PetscMemzero(&a->a[a->i[rows[i]]],a->ilen[rows[i]]*sizeof(PetscScalar));CHKERRQ(ierr);
1413     }
1414     if (diag != 0.0) {
1415       ierr = MatMissingDiagonal_SeqAIJ(A,&missing,&d);CHKERRQ(ierr);
1416       if (missing) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Matrix is missing diagonal entry in row %D",d);
1417       for (i=0; i<N; i++) {
1418         a->a[a->diag[rows[i]]] = diag;
1419       }
1420     }
1421     A->same_nonzero = PETSC_TRUE;
1422   } else {
1423     if (diag != 0.0) {
1424       for (i=0; i<N; i++) {
1425         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1426         if (a->ilen[rows[i]] > 0) {
1427           a->ilen[rows[i]]          = 1;
1428           a->a[a->i[rows[i]]] = diag;
1429           a->j[a->i[rows[i]]] = rows[i];
1430         } else { /* in case row was completely empty */
1431           ierr = MatSetValues_SeqAIJ(A,1,&rows[i],1,&rows[i],&diag,INSERT_VALUES);CHKERRQ(ierr);
1432         }
1433       }
1434     } else {
1435       for (i=0; i<N; i++) {
1436         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1437         a->ilen[rows[i]] = 0;
1438       }
1439     }
1440     A->same_nonzero = PETSC_FALSE;
1441   }
1442   ierr = MatAssemblyEnd_SeqAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1443   PetscFunctionReturn(0);
1444 }
1445 
1446 #undef __FUNCT__
1447 #define __FUNCT__ "MatGetRow_SeqAIJ"
1448 PetscErrorCode MatGetRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1449 {
1450   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1451   PetscInt   *itmp;
1452 
1453   PetscFunctionBegin;
1454   if (row < 0 || row >= A->rmap->n) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row %D out of range",row);
1455 
1456   *nz = a->i[row+1] - a->i[row];
1457   if (v) *v = a->a + a->i[row];
1458   if (idx) {
1459     itmp = a->j + a->i[row];
1460     if (*nz) {
1461       *idx = itmp;
1462     }
1463     else *idx = 0;
1464   }
1465   PetscFunctionReturn(0);
1466 }
1467 
1468 /* remove this function? */
1469 #undef __FUNCT__
1470 #define __FUNCT__ "MatRestoreRow_SeqAIJ"
1471 PetscErrorCode MatRestoreRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1472 {
1473   PetscFunctionBegin;
1474   PetscFunctionReturn(0);
1475 }
1476 
1477 #undef __FUNCT__
1478 #define __FUNCT__ "MatNorm_SeqAIJ"
1479 PetscErrorCode MatNorm_SeqAIJ(Mat A,NormType type,PetscReal *nrm)
1480 {
1481   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1482   MatScalar      *v = a->a;
1483   PetscReal      sum = 0.0;
1484   PetscErrorCode ierr;
1485   PetscInt       i,j;
1486 
1487   PetscFunctionBegin;
1488   if (type == NORM_FROBENIUS) {
1489     for (i=0; i<a->nz; i++) {
1490 #if defined(PETSC_USE_COMPLEX)
1491       sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
1492 #else
1493       sum += (*v)*(*v); v++;
1494 #endif
1495     }
1496     *nrm = sqrt(sum);
1497   } else if (type == NORM_1) {
1498     PetscReal *tmp;
1499     PetscInt    *jj = a->j;
1500     ierr = PetscMalloc((A->cmap->n+1)*sizeof(PetscReal),&tmp);CHKERRQ(ierr);
1501     ierr = PetscMemzero(tmp,A->cmap->n*sizeof(PetscReal));CHKERRQ(ierr);
1502     *nrm = 0.0;
1503     for (j=0; j<a->nz; j++) {
1504         tmp[*jj++] += PetscAbsScalar(*v);  v++;
1505     }
1506     for (j=0; j<A->cmap->n; j++) {
1507       if (tmp[j] > *nrm) *nrm = tmp[j];
1508     }
1509     ierr = PetscFree(tmp);CHKERRQ(ierr);
1510   } else if (type == NORM_INFINITY) {
1511     *nrm = 0.0;
1512     for (j=0; j<A->rmap->n; j++) {
1513       v = a->a + a->i[j];
1514       sum = 0.0;
1515       for (i=0; i<a->i[j+1]-a->i[j]; i++) {
1516         sum += PetscAbsScalar(*v); v++;
1517       }
1518       if (sum > *nrm) *nrm = sum;
1519     }
1520   } else {
1521     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for two norm");
1522   }
1523   PetscFunctionReturn(0);
1524 }
1525 
1526 #undef __FUNCT__
1527 #define __FUNCT__ "MatTranspose_SeqAIJ"
1528 PetscErrorCode MatTranspose_SeqAIJ(Mat A,MatReuse reuse,Mat *B)
1529 {
1530   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1531   Mat            C;
1532   PetscErrorCode ierr;
1533   PetscInt       i,*aj = a->j,*ai = a->i,m = A->rmap->n,len,*col;
1534   MatScalar      *array = a->a;
1535 
1536   PetscFunctionBegin;
1537   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");
1538 
1539   if (reuse == MAT_INITIAL_MATRIX || *B == A) {
1540     ierr = PetscMalloc((1+A->cmap->n)*sizeof(PetscInt),&col);CHKERRQ(ierr);
1541     ierr = PetscMemzero(col,(1+A->cmap->n)*sizeof(PetscInt));CHKERRQ(ierr);
1542 
1543     for (i=0; i<ai[m]; i++) col[aj[i]] += 1;
1544     ierr = MatCreate(((PetscObject)A)->comm,&C);CHKERRQ(ierr);
1545     ierr = MatSetSizes(C,A->cmap->n,m,A->cmap->n,m);CHKERRQ(ierr);
1546     ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
1547     ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,col);CHKERRQ(ierr);
1548     ierr = PetscFree(col);CHKERRQ(ierr);
1549   } else {
1550     C = *B;
1551   }
1552 
1553   for (i=0; i<m; i++) {
1554     len    = ai[i+1]-ai[i];
1555     ierr   = MatSetValues_SeqAIJ(C,len,aj,1,&i,array,INSERT_VALUES);CHKERRQ(ierr);
1556     array += len;
1557     aj    += len;
1558   }
1559   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1560   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1561 
1562   if (reuse == MAT_INITIAL_MATRIX || *B != A) {
1563     *B = C;
1564   } else {
1565     ierr = MatHeaderMerge(A,C);CHKERRQ(ierr);
1566   }
1567   PetscFunctionReturn(0);
1568 }
1569 
1570 EXTERN_C_BEGIN
1571 #undef __FUNCT__
1572 #define __FUNCT__ "MatIsTranspose_SeqAIJ"
1573 PetscErrorCode PETSCMAT_DLLEXPORT MatIsTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscTruth *f)
1574 {
1575   Mat_SeqAIJ     *aij = (Mat_SeqAIJ *) A->data,*bij = (Mat_SeqAIJ*) A->data;
1576   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr;
1577   MatScalar      *va,*vb;
1578   PetscErrorCode ierr;
1579   PetscInt       ma,na,mb,nb, i;
1580 
1581   PetscFunctionBegin;
1582   bij = (Mat_SeqAIJ *) B->data;
1583 
1584   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
1585   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
1586   if (ma!=nb || na!=mb){
1587     *f = PETSC_FALSE;
1588     PetscFunctionReturn(0);
1589   }
1590   aii = aij->i; bii = bij->i;
1591   adx = aij->j; bdx = bij->j;
1592   va  = aij->a; vb = bij->a;
1593   ierr = PetscMalloc(ma*sizeof(PetscInt),&aptr);CHKERRQ(ierr);
1594   ierr = PetscMalloc(mb*sizeof(PetscInt),&bptr);CHKERRQ(ierr);
1595   for (i=0; i<ma; i++) aptr[i] = aii[i];
1596   for (i=0; i<mb; i++) bptr[i] = bii[i];
1597 
1598   *f = PETSC_TRUE;
1599   for (i=0; i<ma; i++) {
1600     while (aptr[i]<aii[i+1]) {
1601       PetscInt         idc,idr;
1602       PetscScalar vc,vr;
1603       /* column/row index/value */
1604       idc = adx[aptr[i]];
1605       idr = bdx[bptr[idc]];
1606       vc  = va[aptr[i]];
1607       vr  = vb[bptr[idc]];
1608       if (i!=idr || PetscAbsScalar(vc-vr) > tol) {
1609 	*f = PETSC_FALSE;
1610         goto done;
1611       } else {
1612 	aptr[i]++;
1613         if (B || i!=idc) bptr[idc]++;
1614       }
1615     }
1616   }
1617  done:
1618   ierr = PetscFree(aptr);CHKERRQ(ierr);
1619   if (B) {
1620     ierr = PetscFree(bptr);CHKERRQ(ierr);
1621   }
1622   PetscFunctionReturn(0);
1623 }
1624 EXTERN_C_END
1625 
1626 EXTERN_C_BEGIN
1627 #undef __FUNCT__
1628 #define __FUNCT__ "MatIsHermitianTranspose_SeqAIJ"
1629 PetscErrorCode PETSCMAT_DLLEXPORT MatIsHermitianTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscTruth *f)
1630 {
1631   Mat_SeqAIJ     *aij = (Mat_SeqAIJ *) A->data,*bij = (Mat_SeqAIJ*) A->data;
1632   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr;
1633   MatScalar      *va,*vb;
1634   PetscErrorCode ierr;
1635   PetscInt       ma,na,mb,nb, i;
1636 
1637   PetscFunctionBegin;
1638   bij = (Mat_SeqAIJ *) B->data;
1639 
1640   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
1641   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
1642   if (ma!=nb || na!=mb){
1643     *f = PETSC_FALSE;
1644     PetscFunctionReturn(0);
1645   }
1646   aii = aij->i; bii = bij->i;
1647   adx = aij->j; bdx = bij->j;
1648   va  = aij->a; vb = bij->a;
1649   ierr = PetscMalloc(ma*sizeof(PetscInt),&aptr);CHKERRQ(ierr);
1650   ierr = PetscMalloc(mb*sizeof(PetscInt),&bptr);CHKERRQ(ierr);
1651   for (i=0; i<ma; i++) aptr[i] = aii[i];
1652   for (i=0; i<mb; i++) bptr[i] = bii[i];
1653 
1654   *f = PETSC_TRUE;
1655   for (i=0; i<ma; i++) {
1656     while (aptr[i]<aii[i+1]) {
1657       PetscInt         idc,idr;
1658       PetscScalar vc,vr;
1659       /* column/row index/value */
1660       idc = adx[aptr[i]];
1661       idr = bdx[bptr[idc]];
1662       vc  = va[aptr[i]];
1663       vr  = vb[bptr[idc]];
1664       if (i!=idr || PetscAbsScalar(vc-PetscConj(vr)) > tol) {
1665 	*f = PETSC_FALSE;
1666         goto done;
1667       } else {
1668 	aptr[i]++;
1669         if (B || i!=idc) bptr[idc]++;
1670       }
1671     }
1672   }
1673  done:
1674   ierr = PetscFree(aptr);CHKERRQ(ierr);
1675   if (B) {
1676     ierr = PetscFree(bptr);CHKERRQ(ierr);
1677   }
1678   PetscFunctionReturn(0);
1679 }
1680 EXTERN_C_END
1681 
1682 #undef __FUNCT__
1683 #define __FUNCT__ "MatIsSymmetric_SeqAIJ"
1684 PetscErrorCode MatIsSymmetric_SeqAIJ(Mat A,PetscReal tol,PetscTruth *f)
1685 {
1686   PetscErrorCode ierr;
1687   PetscFunctionBegin;
1688   ierr = MatIsTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
1689   PetscFunctionReturn(0);
1690 }
1691 
1692 #undef __FUNCT__
1693 #define __FUNCT__ "MatIsHermitian_SeqAIJ"
1694 PetscErrorCode MatIsHermitian_SeqAIJ(Mat A,PetscReal tol,PetscTruth *f)
1695 {
1696   PetscErrorCode ierr;
1697   PetscFunctionBegin;
1698   ierr = MatIsHermitianTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
1699   PetscFunctionReturn(0);
1700 }
1701 
1702 #undef __FUNCT__
1703 #define __FUNCT__ "MatDiagonalScale_SeqAIJ"
1704 PetscErrorCode MatDiagonalScale_SeqAIJ(Mat A,Vec ll,Vec rr)
1705 {
1706   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1707   PetscScalar    *l,*r,x;
1708   MatScalar      *v;
1709   PetscErrorCode ierr;
1710   PetscInt       i,j,m = A->rmap->n,n = A->cmap->n,M,nz = a->nz,*jj;
1711 
1712   PetscFunctionBegin;
1713   if (ll) {
1714     /* The local size is used so that VecMPI can be passed to this routine
1715        by MatDiagonalScale_MPIAIJ */
1716     ierr = VecGetLocalSize(ll,&m);CHKERRQ(ierr);
1717     if (m != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Left scaling vector wrong length");
1718     ierr = VecGetArray(ll,&l);CHKERRQ(ierr);
1719     v = a->a;
1720     for (i=0; i<m; i++) {
1721       x = l[i];
1722       M = a->i[i+1] - a->i[i];
1723       for (j=0; j<M; j++) { (*v++) *= x;}
1724     }
1725     ierr = VecRestoreArray(ll,&l);CHKERRQ(ierr);
1726     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
1727   }
1728   if (rr) {
1729     ierr = VecGetLocalSize(rr,&n);CHKERRQ(ierr);
1730     if (n != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Right scaling vector wrong length");
1731     ierr = VecGetArray(rr,&r);CHKERRQ(ierr);
1732     v = a->a; jj = a->j;
1733     for (i=0; i<nz; i++) {
1734       (*v++) *= r[*jj++];
1735     }
1736     ierr = VecRestoreArray(rr,&r);CHKERRQ(ierr);
1737     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
1738   }
1739   PetscFunctionReturn(0);
1740 }
1741 
1742 #undef __FUNCT__
1743 #define __FUNCT__ "MatGetSubMatrix_SeqAIJ"
1744 PetscErrorCode MatGetSubMatrix_SeqAIJ(Mat A,IS isrow,IS iscol,PetscInt csize,MatReuse scall,Mat *B)
1745 {
1746   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*c;
1747   PetscErrorCode ierr;
1748   PetscInt       *smap,i,k,kstart,kend,oldcols = A->cmap->n,*lens;
1749   PetscInt       row,mat_i,*mat_j,tcol,first,step,*mat_ilen,sum,lensi;
1750   const PetscInt *irow,*icol;
1751   PetscInt       nrows,ncols;
1752   PetscInt       *starts,*j_new,*i_new,*aj = a->j,*ai = a->i,ii,*ailen = a->ilen;
1753   MatScalar      *a_new,*mat_a;
1754   Mat            C;
1755   PetscTruth     stride,sorted;
1756 
1757   PetscFunctionBegin;
1758   ierr = ISSorted(isrow,&sorted);CHKERRQ(ierr);
1759   if (!sorted) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"ISrow is not sorted");
1760   ierr = ISSorted(iscol,&sorted);CHKERRQ(ierr);
1761   if (!sorted) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"IScol is not sorted");
1762 
1763   ierr = ISGetIndices(isrow,&irow);CHKERRQ(ierr);
1764   ierr = ISGetLocalSize(isrow,&nrows);CHKERRQ(ierr);
1765   ierr = ISGetLocalSize(iscol,&ncols);CHKERRQ(ierr);
1766 
1767   ierr = ISStrideGetInfo(iscol,&first,&step);CHKERRQ(ierr);
1768   ierr = ISStride(iscol,&stride);CHKERRQ(ierr);
1769   if (stride && step == 1) {
1770     /* special case of contiguous rows */
1771     ierr = PetscMalloc2(nrows,PetscInt,&lens,nrows,PetscInt,&starts);CHKERRQ(ierr);
1772     /* loop over new rows determining lens and starting points */
1773     for (i=0; i<nrows; i++) {
1774       kstart  = ai[irow[i]];
1775       kend    = kstart + ailen[irow[i]];
1776       for (k=kstart; k<kend; k++) {
1777         if (aj[k] >= first) {
1778           starts[i] = k;
1779           break;
1780 	}
1781       }
1782       sum = 0;
1783       while (k < kend) {
1784         if (aj[k++] >= first+ncols) break;
1785         sum++;
1786       }
1787       lens[i] = sum;
1788     }
1789     /* create submatrix */
1790     if (scall == MAT_REUSE_MATRIX) {
1791       PetscInt n_cols,n_rows;
1792       ierr = MatGetSize(*B,&n_rows,&n_cols);CHKERRQ(ierr);
1793       if (n_rows != nrows || n_cols != ncols) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Reused submatrix wrong size");
1794       ierr = MatZeroEntries(*B);CHKERRQ(ierr);
1795       C = *B;
1796     } else {
1797       ierr = MatCreate(((PetscObject)A)->comm,&C);CHKERRQ(ierr);
1798       ierr = MatSetSizes(C,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
1799       ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
1800       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
1801     }
1802     c = (Mat_SeqAIJ*)C->data;
1803 
1804     /* loop over rows inserting into submatrix */
1805     a_new    = c->a;
1806     j_new    = c->j;
1807     i_new    = c->i;
1808 
1809     for (i=0; i<nrows; i++) {
1810       ii    = starts[i];
1811       lensi = lens[i];
1812       for (k=0; k<lensi; k++) {
1813         *j_new++ = aj[ii+k] - first;
1814       }
1815       ierr = PetscMemcpy(a_new,a->a + starts[i],lensi*sizeof(PetscScalar));CHKERRQ(ierr);
1816       a_new      += lensi;
1817       i_new[i+1]  = i_new[i] + lensi;
1818       c->ilen[i]  = lensi;
1819     }
1820     ierr = PetscFree2(lens,starts);CHKERRQ(ierr);
1821   } else {
1822     ierr  = ISGetIndices(iscol,&icol);CHKERRQ(ierr);
1823     ierr  = PetscMalloc(oldcols*sizeof(PetscInt),&smap);CHKERRQ(ierr);
1824     ierr  = PetscMemzero(smap,oldcols*sizeof(PetscInt));CHKERRQ(ierr);
1825     ierr  = PetscMalloc((1+nrows)*sizeof(PetscInt),&lens);CHKERRQ(ierr);
1826     for (i=0; i<ncols; i++) smap[icol[i]] = i+1;
1827     /* determine lens of each row */
1828     for (i=0; i<nrows; i++) {
1829       kstart  = ai[irow[i]];
1830       kend    = kstart + a->ilen[irow[i]];
1831       lens[i] = 0;
1832       for (k=kstart; k<kend; k++) {
1833         if (smap[aj[k]]) {
1834           lens[i]++;
1835         }
1836       }
1837     }
1838     /* Create and fill new matrix */
1839     if (scall == MAT_REUSE_MATRIX) {
1840       PetscTruth equal;
1841 
1842       c = (Mat_SeqAIJ *)((*B)->data);
1843       if ((*B)->rmap->n  != nrows || (*B)->cmap->n != ncols) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong size");
1844       ierr = PetscMemcmp(c->ilen,lens,(*B)->rmap->n*sizeof(PetscInt),&equal);CHKERRQ(ierr);
1845       if (!equal) {
1846         SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong no of nonzeros");
1847       }
1848       ierr = PetscMemzero(c->ilen,(*B)->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
1849       C = *B;
1850     } else {
1851       ierr = MatCreate(((PetscObject)A)->comm,&C);CHKERRQ(ierr);
1852       ierr = MatSetSizes(C,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
1853       ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
1854       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
1855     }
1856     c = (Mat_SeqAIJ *)(C->data);
1857     for (i=0; i<nrows; i++) {
1858       row    = irow[i];
1859       kstart = ai[row];
1860       kend   = kstart + a->ilen[row];
1861       mat_i  = c->i[i];
1862       mat_j  = c->j + mat_i;
1863       mat_a  = c->a + mat_i;
1864       mat_ilen = c->ilen + i;
1865       for (k=kstart; k<kend; k++) {
1866         if ((tcol=smap[a->j[k]])) {
1867           *mat_j++ = tcol - 1;
1868           *mat_a++ = a->a[k];
1869           (*mat_ilen)++;
1870 
1871         }
1872       }
1873     }
1874     /* Free work space */
1875     ierr = ISRestoreIndices(iscol,&icol);CHKERRQ(ierr);
1876     ierr = PetscFree(smap);CHKERRQ(ierr);
1877     ierr = PetscFree(lens);CHKERRQ(ierr);
1878   }
1879   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1880   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1881 
1882   ierr = ISRestoreIndices(isrow,&irow);CHKERRQ(ierr);
1883   *B = C;
1884   PetscFunctionReturn(0);
1885 }
1886 
1887 #undef __FUNCT__
1888 #define __FUNCT__ "MatGetMultiProcBlock_SeqAIJ"
1889 PetscErrorCode  MatGetMultiProcBlock_SeqAIJ(Mat mat,MPI_Comm subComm,Mat* subMat)
1890 {
1891   PetscErrorCode ierr;
1892   Mat            B;
1893 
1894   PetscFunctionBegin;
1895   ierr = MatCreate(subComm,&B);CHKERRQ(ierr);
1896   ierr = MatSetSizes(B,mat->rmap->n,mat->cmap->n,mat->rmap->n,mat->cmap->n);CHKERRQ(ierr);
1897   ierr = MatSetType(B,MATSEQAIJ);CHKERRQ(ierr);
1898   ierr = MatDuplicateNoCreate_SeqAIJ(B,mat,MAT_COPY_VALUES,PETSC_TRUE);CHKERRQ(ierr);
1899   *subMat = B;
1900   PetscFunctionReturn(0);
1901 }
1902 
1903 #undef __FUNCT__
1904 #define __FUNCT__ "MatILUFactor_SeqAIJ"
1905 PetscErrorCode MatILUFactor_SeqAIJ(Mat inA,IS row,IS col,const MatFactorInfo *info)
1906 {
1907   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)inA->data;
1908   PetscErrorCode ierr;
1909   Mat            outA;
1910   PetscTruth     row_identity,col_identity;
1911 
1912   PetscFunctionBegin;
1913   if (info->levels != 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only levels=0 supported for in-place ilu");
1914 
1915   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
1916   ierr = ISIdentity(col,&col_identity);CHKERRQ(ierr);
1917 
1918   outA              = inA;
1919   outA->factortype  = MAT_FACTOR_LU;
1920   ierr = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
1921   if (a->row) { ierr = ISDestroy(a->row);CHKERRQ(ierr);}
1922   a->row = row;
1923   ierr = PetscObjectReference((PetscObject)col);CHKERRQ(ierr);
1924   if (a->col) { ierr = ISDestroy(a->col);CHKERRQ(ierr);}
1925   a->col = col;
1926 
1927   /* Create the inverse permutation so that it can be used in MatLUFactorNumeric() */
1928   if (a->icol) {ierr = ISDestroy(a->icol);CHKERRQ(ierr);} /* need to remove old one */
1929   ierr = ISInvertPermutation(col,PETSC_DECIDE,&a->icol);CHKERRQ(ierr);
1930   ierr = PetscLogObjectParent(inA,a->icol);CHKERRQ(ierr);
1931 
1932   if (!a->solve_work) { /* this matrix may have been factored before */
1933      ierr = PetscMalloc((inA->rmap->n+1)*sizeof(PetscScalar),&a->solve_work);CHKERRQ(ierr);
1934      ierr = PetscLogObjectMemory(inA, (inA->rmap->n+1)*sizeof(PetscScalar));CHKERRQ(ierr);
1935   }
1936 
1937   ierr = MatMarkDiagonal_SeqAIJ(inA);CHKERRQ(ierr);
1938   if (row_identity && col_identity) {
1939     ierr = MatLUFactorNumeric_SeqAIJ_inplace(outA,inA,info);CHKERRQ(ierr);
1940   } else {
1941     ierr = MatLUFactorNumeric_SeqAIJ_InplaceWithPerm(outA,inA,info);CHKERRQ(ierr);
1942   }
1943   PetscFunctionReturn(0);
1944 }
1945 
1946 #undef __FUNCT__
1947 #define __FUNCT__ "MatScale_SeqAIJ"
1948 PetscErrorCode MatScale_SeqAIJ(Mat inA,PetscScalar alpha)
1949 {
1950   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)inA->data;
1951   PetscScalar    oalpha = alpha;
1952   PetscErrorCode ierr;
1953   PetscBLASInt   one = 1,bnz = PetscBLASIntCast(a->nz);
1954 
1955   PetscFunctionBegin;
1956   BLASscal_(&bnz,&oalpha,a->a,&one);
1957   ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1958   PetscFunctionReturn(0);
1959 }
1960 
1961 #undef __FUNCT__
1962 #define __FUNCT__ "MatGetSubMatrices_SeqAIJ"
1963 PetscErrorCode MatGetSubMatrices_SeqAIJ(Mat A,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
1964 {
1965   PetscErrorCode ierr;
1966   PetscInt       i;
1967 
1968   PetscFunctionBegin;
1969   if (scall == MAT_INITIAL_MATRIX) {
1970     ierr = PetscMalloc((n+1)*sizeof(Mat),B);CHKERRQ(ierr);
1971   }
1972 
1973   for (i=0; i<n; i++) {
1974     ierr = MatGetSubMatrix_SeqAIJ(A,irow[i],icol[i],PETSC_DECIDE,scall,&(*B)[i]);CHKERRQ(ierr);
1975   }
1976   PetscFunctionReturn(0);
1977 }
1978 
1979 #undef __FUNCT__
1980 #define __FUNCT__ "MatIncreaseOverlap_SeqAIJ"
1981 PetscErrorCode MatIncreaseOverlap_SeqAIJ(Mat A,PetscInt is_max,IS is[],PetscInt ov)
1982 {
1983   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1984   PetscErrorCode ierr;
1985   PetscInt       row,i,j,k,l,m,n,*nidx,isz,val;
1986   const PetscInt *idx;
1987   PetscInt       start,end,*ai,*aj;
1988   PetscBT        table;
1989 
1990   PetscFunctionBegin;
1991   m     = A->rmap->n;
1992   ai    = a->i;
1993   aj    = a->j;
1994 
1995   if (ov < 0)  SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"illegal negative overlap value used");
1996 
1997   ierr = PetscMalloc((m+1)*sizeof(PetscInt),&nidx);CHKERRQ(ierr);
1998   ierr = PetscBTCreate(m,table);CHKERRQ(ierr);
1999 
2000   for (i=0; i<is_max; i++) {
2001     /* Initialize the two local arrays */
2002     isz  = 0;
2003     ierr = PetscBTMemzero(m,table);CHKERRQ(ierr);
2004 
2005     /* Extract the indices, assume there can be duplicate entries */
2006     ierr = ISGetIndices(is[i],&idx);CHKERRQ(ierr);
2007     ierr = ISGetLocalSize(is[i],&n);CHKERRQ(ierr);
2008 
2009     /* Enter these into the temp arrays. I.e., mark table[row], enter row into new index */
2010     for (j=0; j<n ; ++j){
2011       if(!PetscBTLookupSet(table,idx[j])) { nidx[isz++] = idx[j];}
2012     }
2013     ierr = ISRestoreIndices(is[i],&idx);CHKERRQ(ierr);
2014     ierr = ISDestroy(is[i]);CHKERRQ(ierr);
2015 
2016     k = 0;
2017     for (j=0; j<ov; j++){ /* for each overlap */
2018       n = isz;
2019       for (; k<n ; k++){ /* do only those rows in nidx[k], which are not done yet */
2020         row   = nidx[k];
2021         start = ai[row];
2022         end   = ai[row+1];
2023         for (l = start; l<end ; l++){
2024           val = aj[l] ;
2025           if (!PetscBTLookupSet(table,val)) {nidx[isz++] = val;}
2026         }
2027       }
2028     }
2029     ierr = ISCreateGeneral(PETSC_COMM_SELF,isz,nidx,(is+i));CHKERRQ(ierr);
2030   }
2031   ierr = PetscBTDestroy(table);CHKERRQ(ierr);
2032   ierr = PetscFree(nidx);CHKERRQ(ierr);
2033   PetscFunctionReturn(0);
2034 }
2035 
2036 /* -------------------------------------------------------------- */
2037 #undef __FUNCT__
2038 #define __FUNCT__ "MatPermute_SeqAIJ"
2039 PetscErrorCode MatPermute_SeqAIJ(Mat A,IS rowp,IS colp,Mat *B)
2040 {
2041   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2042   PetscErrorCode ierr;
2043   PetscInt       i,nz = 0,m = A->rmap->n,n = A->cmap->n;
2044   const PetscInt *row,*col;
2045   PetscInt       *cnew,j,*lens;
2046   IS             icolp,irowp;
2047   PetscInt       *cwork = PETSC_NULL;
2048   PetscScalar    *vwork = PETSC_NULL;
2049 
2050   PetscFunctionBegin;
2051   ierr = ISInvertPermutation(rowp,PETSC_DECIDE,&irowp);CHKERRQ(ierr);
2052   ierr = ISGetIndices(irowp,&row);CHKERRQ(ierr);
2053   ierr = ISInvertPermutation(colp,PETSC_DECIDE,&icolp);CHKERRQ(ierr);
2054   ierr = ISGetIndices(icolp,&col);CHKERRQ(ierr);
2055 
2056   /* determine lengths of permuted rows */
2057   ierr = PetscMalloc((m+1)*sizeof(PetscInt),&lens);CHKERRQ(ierr);
2058   for (i=0; i<m; i++) {
2059     lens[row[i]] = a->i[i+1] - a->i[i];
2060   }
2061   ierr = MatCreate(((PetscObject)A)->comm,B);CHKERRQ(ierr);
2062   ierr = MatSetSizes(*B,m,n,m,n);CHKERRQ(ierr);
2063   ierr = MatSetType(*B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2064   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*B,0,lens);CHKERRQ(ierr);
2065   ierr = PetscFree(lens);CHKERRQ(ierr);
2066 
2067   ierr = PetscMalloc(n*sizeof(PetscInt),&cnew);CHKERRQ(ierr);
2068   for (i=0; i<m; i++) {
2069     ierr = MatGetRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2070     for (j=0; j<nz; j++) { cnew[j] = col[cwork[j]];}
2071     ierr = MatSetValues_SeqAIJ(*B,1,&row[i],nz,cnew,vwork,INSERT_VALUES);CHKERRQ(ierr);
2072     ierr = MatRestoreRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
2073   }
2074   ierr = PetscFree(cnew);CHKERRQ(ierr);
2075   (*B)->assembled     = PETSC_FALSE;
2076   ierr = MatAssemblyBegin(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2077   ierr = MatAssemblyEnd(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2078   ierr = ISRestoreIndices(irowp,&row);CHKERRQ(ierr);
2079   ierr = ISRestoreIndices(icolp,&col);CHKERRQ(ierr);
2080   ierr = ISDestroy(irowp);CHKERRQ(ierr);
2081   ierr = ISDestroy(icolp);CHKERRQ(ierr);
2082   PetscFunctionReturn(0);
2083 }
2084 
2085 #undef __FUNCT__
2086 #define __FUNCT__ "MatCopy_SeqAIJ"
2087 PetscErrorCode MatCopy_SeqAIJ(Mat A,Mat B,MatStructure str)
2088 {
2089   PetscErrorCode ierr;
2090 
2091   PetscFunctionBegin;
2092   /* If the two matrices have the same copy implementation, use fast copy. */
2093   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
2094     Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2095     Mat_SeqAIJ *b = (Mat_SeqAIJ*)B->data;
2096 
2097     if (a->i[A->rmap->n] != b->i[B->rmap->n]) {
2098       SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Number of nonzeros in two matrices are different");
2099     }
2100     ierr = PetscMemcpy(b->a,a->a,(a->i[A->rmap->n])*sizeof(PetscScalar));CHKERRQ(ierr);
2101   } else {
2102     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
2103   }
2104   PetscFunctionReturn(0);
2105 }
2106 
2107 #undef __FUNCT__
2108 #define __FUNCT__ "MatSetUpPreallocation_SeqAIJ"
2109 PetscErrorCode MatSetUpPreallocation_SeqAIJ(Mat A)
2110 {
2111   PetscErrorCode ierr;
2112 
2113   PetscFunctionBegin;
2114   ierr =  MatSeqAIJSetPreallocation_SeqAIJ(A,PETSC_DEFAULT,0);CHKERRQ(ierr);
2115   PetscFunctionReturn(0);
2116 }
2117 
2118 #undef __FUNCT__
2119 #define __FUNCT__ "MatGetArray_SeqAIJ"
2120 PetscErrorCode MatGetArray_SeqAIJ(Mat A,PetscScalar *array[])
2121 {
2122   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2123   PetscFunctionBegin;
2124   *array = a->a;
2125   PetscFunctionReturn(0);
2126 }
2127 
2128 #undef __FUNCT__
2129 #define __FUNCT__ "MatRestoreArray_SeqAIJ"
2130 PetscErrorCode MatRestoreArray_SeqAIJ(Mat A,PetscScalar *array[])
2131 {
2132   PetscFunctionBegin;
2133   PetscFunctionReturn(0);
2134 }
2135 
2136 #undef __FUNCT__
2137 #define __FUNCT__ "MatFDColoringApply_SeqAIJ"
2138 PetscErrorCode MatFDColoringApply_SeqAIJ(Mat J,MatFDColoring coloring,Vec x1,MatStructure *flag,void *sctx)
2139 {
2140   PetscErrorCode (*f)(void*,Vec,Vec,void*) = (PetscErrorCode (*)(void*,Vec,Vec,void *))coloring->f;
2141   PetscErrorCode ierr;
2142   PetscInt       k,N,start,end,l,row,col,srow,**vscaleforrow,m1,m2;
2143   PetscScalar    dx,*y,*xx,*w3_array;
2144   PetscScalar    *vscale_array;
2145   PetscReal      epsilon = coloring->error_rel,umin = coloring->umin;
2146   Vec            w1,w2,w3;
2147   void           *fctx = coloring->fctx;
2148   PetscTruth     flg = PETSC_FALSE;
2149 
2150   PetscFunctionBegin;
2151   if (!coloring->w1) {
2152     ierr = VecDuplicate(x1,&coloring->w1);CHKERRQ(ierr);
2153     ierr = PetscLogObjectParent(coloring,coloring->w1);CHKERRQ(ierr);
2154     ierr = VecDuplicate(x1,&coloring->w2);CHKERRQ(ierr);
2155     ierr = PetscLogObjectParent(coloring,coloring->w2);CHKERRQ(ierr);
2156     ierr = VecDuplicate(x1,&coloring->w3);CHKERRQ(ierr);
2157     ierr = PetscLogObjectParent(coloring,coloring->w3);CHKERRQ(ierr);
2158   }
2159   w1 = coloring->w1; w2 = coloring->w2; w3 = coloring->w3;
2160 
2161   ierr = MatSetUnfactored(J);CHKERRQ(ierr);
2162   ierr = PetscOptionsGetTruth(((PetscObject)coloring)->prefix,"-mat_fd_coloring_dont_rezero",&flg,PETSC_NULL);CHKERRQ(ierr);
2163   if (flg) {
2164     ierr = PetscInfo(coloring,"Not calling MatZeroEntries()\n");CHKERRQ(ierr);
2165   } else {
2166     PetscTruth assembled;
2167     ierr = MatAssembled(J,&assembled);CHKERRQ(ierr);
2168     if (assembled) {
2169       ierr = MatZeroEntries(J);CHKERRQ(ierr);
2170     }
2171   }
2172 
2173   ierr = VecGetOwnershipRange(x1,&start,&end);CHKERRQ(ierr);
2174   ierr = VecGetSize(x1,&N);CHKERRQ(ierr);
2175 
2176   /*
2177        This is a horrible, horrible, hack. See DMMGComputeJacobian_Multigrid() it inproperly sets
2178      coloring->F for the coarser grids from the finest
2179   */
2180   if (coloring->F) {
2181     ierr = VecGetLocalSize(coloring->F,&m1);CHKERRQ(ierr);
2182     ierr = VecGetLocalSize(w1,&m2);CHKERRQ(ierr);
2183     if (m1 != m2) {
2184       coloring->F = 0;
2185     }
2186   }
2187 
2188   if (coloring->F) {
2189     w1          = coloring->F;
2190     coloring->F = 0;
2191   } else {
2192     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2193     ierr = (*f)(sctx,x1,w1,fctx);CHKERRQ(ierr);
2194     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2195   }
2196 
2197   /*
2198       Compute all the scale factors and share with other processors
2199   */
2200   ierr = VecGetArray(x1,&xx);CHKERRQ(ierr);xx = xx - start;
2201   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);vscale_array = vscale_array - start;
2202   for (k=0; k<coloring->ncolors; k++) {
2203     /*
2204        Loop over each column associated with color adding the
2205        perturbation to the vector w3.
2206     */
2207     for (l=0; l<coloring->ncolumns[k]; l++) {
2208       col = coloring->columns[k][l];    /* column of the matrix we are probing for */
2209       dx  = xx[col];
2210       if (dx == 0.0) dx = 1.0;
2211 #if !defined(PETSC_USE_COMPLEX)
2212       if (dx < umin && dx >= 0.0)      dx = umin;
2213       else if (dx < 0.0 && dx > -umin) dx = -umin;
2214 #else
2215       if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2216       else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2217 #endif
2218       dx                *= epsilon;
2219       vscale_array[col] = 1.0/dx;
2220     }
2221   }
2222   vscale_array = vscale_array + start;ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2223   ierr = VecGhostUpdateBegin(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2224   ierr = VecGhostUpdateEnd(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2225 
2226   /*  ierr = VecView(coloring->vscale,PETSC_VIEWER_STDOUT_WORLD);
2227       ierr = VecView(x1,PETSC_VIEWER_STDOUT_WORLD);*/
2228 
2229   if (coloring->vscaleforrow) vscaleforrow = coloring->vscaleforrow;
2230   else                        vscaleforrow = coloring->columnsforrow;
2231 
2232   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2233   /*
2234       Loop over each color
2235   */
2236   for (k=0; k<coloring->ncolors; k++) {
2237     coloring->currentcolor = k;
2238     ierr = VecCopy(x1,w3);CHKERRQ(ierr);
2239     ierr = VecGetArray(w3,&w3_array);CHKERRQ(ierr);w3_array = w3_array - start;
2240     /*
2241        Loop over each column associated with color adding the
2242        perturbation to the vector w3.
2243     */
2244     for (l=0; l<coloring->ncolumns[k]; l++) {
2245       col = coloring->columns[k][l];    /* column of the matrix we are probing for */
2246       dx  = xx[col];
2247       if (dx == 0.0) dx = 1.0;
2248 #if !defined(PETSC_USE_COMPLEX)
2249       if (dx < umin && dx >= 0.0)      dx = umin;
2250       else if (dx < 0.0 && dx > -umin) dx = -umin;
2251 #else
2252       if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2253       else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2254 #endif
2255       dx            *= epsilon;
2256       if (!PetscAbsScalar(dx)) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Computed 0 differencing parameter");
2257       w3_array[col] += dx;
2258     }
2259     w3_array = w3_array + start; ierr = VecRestoreArray(w3,&w3_array);CHKERRQ(ierr);
2260 
2261     /*
2262        Evaluate function at x1 + dx (here dx is a vector of perturbations)
2263     */
2264 
2265     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2266     ierr = (*f)(sctx,w3,w2,fctx);CHKERRQ(ierr);
2267     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2268     ierr = VecAXPY(w2,-1.0,w1);CHKERRQ(ierr);
2269 
2270     /*
2271        Loop over rows of vector, putting results into Jacobian matrix
2272     */
2273     ierr = VecGetArray(w2,&y);CHKERRQ(ierr);
2274     for (l=0; l<coloring->nrows[k]; l++) {
2275       row    = coloring->rows[k][l];
2276       col    = coloring->columnsforrow[k][l];
2277       y[row] *= vscale_array[vscaleforrow[k][l]];
2278       srow   = row + start;
2279       ierr   = MatSetValues_SeqAIJ(J,1,&srow,1,&col,y+row,INSERT_VALUES);CHKERRQ(ierr);
2280     }
2281     ierr = VecRestoreArray(w2,&y);CHKERRQ(ierr);
2282   }
2283   coloring->currentcolor = k;
2284   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2285   xx = xx + start; ierr  = VecRestoreArray(x1,&xx);CHKERRQ(ierr);
2286   ierr  = MatAssemblyBegin(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2287   ierr  = MatAssemblyEnd(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2288   PetscFunctionReturn(0);
2289 }
2290 
2291 #undef __FUNCT__
2292 #define __FUNCT__ "MatAXPY_SeqAIJ"
2293 PetscErrorCode MatAXPY_SeqAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
2294 {
2295   PetscErrorCode ierr;
2296   PetscInt       i;
2297   Mat_SeqAIJ     *x  = (Mat_SeqAIJ *)X->data,*y = (Mat_SeqAIJ *)Y->data;
2298   PetscBLASInt   one=1,bnz = PetscBLASIntCast(x->nz);
2299 
2300   PetscFunctionBegin;
2301   if (str == SAME_NONZERO_PATTERN) {
2302     PetscScalar alpha = a;
2303     BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one);
2304   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
2305     if (y->xtoy && y->XtoY != X) {
2306       ierr = PetscFree(y->xtoy);CHKERRQ(ierr);
2307       ierr = MatDestroy(y->XtoY);CHKERRQ(ierr);
2308     }
2309     if (!y->xtoy) { /* get xtoy */
2310       ierr = MatAXPYGetxtoy_Private(X->rmap->n,x->i,x->j,PETSC_NULL, y->i,y->j,PETSC_NULL, &y->xtoy);CHKERRQ(ierr);
2311       y->XtoY = X;
2312       ierr = PetscObjectReference((PetscObject)X);CHKERRQ(ierr);
2313     }
2314     for (i=0; i<x->nz; i++) y->a[y->xtoy[i]] += a*(x->a[i]);
2315     ierr = PetscInfo3(Y,"ratio of nnz(X)/nnz(Y): %d/%d = %G\n",x->nz,y->nz,(PetscReal)(x->nz)/y->nz);CHKERRQ(ierr);
2316   } else {
2317     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
2318   }
2319   PetscFunctionReturn(0);
2320 }
2321 
2322 #undef __FUNCT__
2323 #define __FUNCT__ "MatSetBlockSize_SeqAIJ"
2324 PetscErrorCode MatSetBlockSize_SeqAIJ(Mat A,PetscInt bs)
2325 {
2326   PetscErrorCode ierr;
2327 
2328   PetscFunctionBegin;
2329   ierr = PetscLayoutSetBlockSize(A->rmap,bs);CHKERRQ(ierr);
2330   ierr = PetscLayoutSetBlockSize(A->cmap,bs);CHKERRQ(ierr);
2331   PetscFunctionReturn(0);
2332 }
2333 
2334 #undef __FUNCT__
2335 #define __FUNCT__ "MatConjugate_SeqAIJ"
2336 PetscErrorCode PETSCMAT_DLLEXPORT MatConjugate_SeqAIJ(Mat mat)
2337 {
2338 #if defined(PETSC_USE_COMPLEX)
2339   Mat_SeqAIJ  *aij = (Mat_SeqAIJ *)mat->data;
2340   PetscInt    i,nz;
2341   PetscScalar *a;
2342 
2343   PetscFunctionBegin;
2344   nz = aij->nz;
2345   a  = aij->a;
2346   for (i=0; i<nz; i++) {
2347     a[i] = PetscConj(a[i]);
2348   }
2349 #else
2350   PetscFunctionBegin;
2351 #endif
2352   PetscFunctionReturn(0);
2353 }
2354 
2355 #undef __FUNCT__
2356 #define __FUNCT__ "MatGetRowMaxAbs_SeqAIJ"
2357 PetscErrorCode MatGetRowMaxAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2358 {
2359   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2360   PetscErrorCode ierr;
2361   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2362   PetscReal      atmp;
2363   PetscScalar    *x;
2364   MatScalar      *aa;
2365 
2366   PetscFunctionBegin;
2367   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2368   aa   = a->a;
2369   ai   = a->i;
2370   aj   = a->j;
2371 
2372   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2373   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2374   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2375   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2376   for (i=0; i<m; i++) {
2377     ncols = ai[1] - ai[0]; ai++;
2378     x[i] = 0.0;
2379     for (j=0; j<ncols; j++){
2380       atmp = PetscAbsScalar(*aa);
2381       if (PetscAbsScalar(x[i]) < atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
2382       aa++; aj++;
2383     }
2384   }
2385   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2386   PetscFunctionReturn(0);
2387 }
2388 
2389 #undef __FUNCT__
2390 #define __FUNCT__ "MatGetRowMax_SeqAIJ"
2391 PetscErrorCode MatGetRowMax_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2392 {
2393   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2394   PetscErrorCode ierr;
2395   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2396   PetscScalar    *x;
2397   MatScalar      *aa;
2398 
2399   PetscFunctionBegin;
2400   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2401   aa   = a->a;
2402   ai   = a->i;
2403   aj   = a->j;
2404 
2405   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2406   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2407   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2408   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2409   for (i=0; i<m; i++) {
2410     ncols = ai[1] - ai[0]; ai++;
2411     if (ncols == A->cmap->n) { /* row is dense */
2412       x[i] = *aa; if (idx) idx[i] = 0;
2413     } else {  /* row is sparse so already KNOW maximum is 0.0 or higher */
2414       x[i] = 0.0;
2415       if (idx) {
2416         idx[i] = 0; /* in case ncols is zero */
2417         for (j=0;j<ncols;j++) { /* find first implicit 0.0 in the row */
2418           if (aj[j] > j) {
2419             idx[i] = j;
2420             break;
2421           }
2422         }
2423       }
2424     }
2425     for (j=0; j<ncols; j++){
2426       if (PetscRealPart(x[i]) < PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
2427       aa++; aj++;
2428     }
2429   }
2430   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2431   PetscFunctionReturn(0);
2432 }
2433 
2434 #undef __FUNCT__
2435 #define __FUNCT__ "MatGetRowMinAbs_SeqAIJ"
2436 PetscErrorCode MatGetRowMinAbs_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2437 {
2438   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2439   PetscErrorCode ierr;
2440   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2441   PetscReal      atmp;
2442   PetscScalar    *x;
2443   MatScalar      *aa;
2444 
2445   PetscFunctionBegin;
2446   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2447   aa   = a->a;
2448   ai   = a->i;
2449   aj   = a->j;
2450 
2451   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2452   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2453   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2454   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2455   for (i=0; i<m; i++) {
2456     ncols = ai[1] - ai[0]; ai++;
2457     if (ncols) {
2458       /* Get first nonzero */
2459       for(j = 0; j < ncols; j++) {
2460         atmp = PetscAbsScalar(aa[j]);
2461         if (atmp > 1.0e-12) {x[i] = atmp; if (idx) idx[i] = aj[j]; break;}
2462       }
2463       if (j == ncols) {x[i] = *aa; if (idx) idx[i] = *aj;}
2464     } else {
2465       x[i] = 0.0; if (idx) idx[i] = 0;
2466     }
2467     for(j = 0; j < ncols; j++) {
2468       atmp = PetscAbsScalar(*aa);
2469       if (atmp > 1.0e-12 && PetscAbsScalar(x[i]) > atmp) {x[i] = atmp; if (idx) idx[i] = *aj;}
2470       aa++; aj++;
2471     }
2472   }
2473   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2474   PetscFunctionReturn(0);
2475 }
2476 
2477 #undef __FUNCT__
2478 #define __FUNCT__ "MatGetRowMin_SeqAIJ"
2479 PetscErrorCode MatGetRowMin_SeqAIJ(Mat A,Vec v,PetscInt idx[])
2480 {
2481   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
2482   PetscErrorCode ierr;
2483   PetscInt       i,j,m = A->rmap->n,*ai,*aj,ncols,n;
2484   PetscScalar    *x;
2485   MatScalar      *aa;
2486 
2487   PetscFunctionBegin;
2488   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2489   aa   = a->a;
2490   ai   = a->i;
2491   aj   = a->j;
2492 
2493   ierr = VecSet(v,0.0);CHKERRQ(ierr);
2494   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2495   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2496   if (n != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2497   for (i=0; i<m; i++) {
2498     ncols = ai[1] - ai[0]; ai++;
2499     if (ncols == A->cmap->n) { /* row is dense */
2500       x[i] = *aa; if (idx) idx[i] = 0;
2501     } else {  /* row is sparse so already KNOW minimum is 0.0 or lower */
2502       x[i] = 0.0;
2503       if (idx) {   /* find first implicit 0.0 in the row */
2504         idx[i] = 0; /* in case ncols is zero */
2505         for (j=0;j<ncols;j++) {
2506           if (aj[j] > j) {
2507             idx[i] = j;
2508             break;
2509           }
2510         }
2511       }
2512     }
2513     for (j=0; j<ncols; j++){
2514       if (PetscRealPart(x[i]) > PetscRealPart(*aa)) {x[i] = *aa; if (idx) idx[i] = *aj;}
2515       aa++; aj++;
2516     }
2517   }
2518   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2519   PetscFunctionReturn(0);
2520 }
2521 extern PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringApply_AIJ(Mat,MatFDColoring,Vec,MatStructure*,void*);
2522 /* -------------------------------------------------------------------*/
2523 static struct _MatOps MatOps_Values = {MatSetValues_SeqAIJ,
2524        MatGetRow_SeqAIJ,
2525        MatRestoreRow_SeqAIJ,
2526        MatMult_SeqAIJ,
2527 /* 4*/ MatMultAdd_SeqAIJ,
2528        MatMultTranspose_SeqAIJ,
2529        MatMultTransposeAdd_SeqAIJ,
2530        0,
2531        0,
2532        0,
2533 /*10*/ 0,
2534        MatLUFactor_SeqAIJ,
2535        0,
2536        MatSOR_SeqAIJ,
2537        MatTranspose_SeqAIJ,
2538 /*15*/ MatGetInfo_SeqAIJ,
2539        MatEqual_SeqAIJ,
2540        MatGetDiagonal_SeqAIJ,
2541        MatDiagonalScale_SeqAIJ,
2542        MatNorm_SeqAIJ,
2543 /*20*/ 0,
2544        MatAssemblyEnd_SeqAIJ,
2545        MatSetOption_SeqAIJ,
2546        MatZeroEntries_SeqAIJ,
2547 /*24*/ MatZeroRows_SeqAIJ,
2548        0,
2549        0,
2550        0,
2551        0,
2552 /*29*/ MatSetUpPreallocation_SeqAIJ,
2553        0,
2554        0,
2555        MatGetArray_SeqAIJ,
2556        MatRestoreArray_SeqAIJ,
2557 /*34*/ MatDuplicate_SeqAIJ,
2558        0,
2559        0,
2560        MatILUFactor_SeqAIJ,
2561        0,
2562 /*39*/ MatAXPY_SeqAIJ,
2563        MatGetSubMatrices_SeqAIJ,
2564        MatIncreaseOverlap_SeqAIJ,
2565        MatGetValues_SeqAIJ,
2566        MatCopy_SeqAIJ,
2567 /*44*/ MatGetRowMax_SeqAIJ,
2568        MatScale_SeqAIJ,
2569        0,
2570        MatDiagonalSet_SeqAIJ,
2571        0,
2572 /*49*/ MatSetBlockSize_SeqAIJ,
2573        MatGetRowIJ_SeqAIJ,
2574        MatRestoreRowIJ_SeqAIJ,
2575        MatGetColumnIJ_SeqAIJ,
2576        MatRestoreColumnIJ_SeqAIJ,
2577 /*54*/ MatFDColoringCreate_SeqAIJ,
2578        0,
2579        0,
2580        MatPermute_SeqAIJ,
2581        0,
2582 /*59*/ 0,
2583        MatDestroy_SeqAIJ,
2584        MatView_SeqAIJ,
2585        0,
2586        0,
2587 /*64*/ 0,
2588        0,
2589        0,
2590        0,
2591        0,
2592 /*69*/ MatGetRowMaxAbs_SeqAIJ,
2593        MatGetRowMinAbs_SeqAIJ,
2594        0,
2595        MatSetColoring_SeqAIJ,
2596 #if defined(PETSC_HAVE_ADIC)
2597        MatSetValuesAdic_SeqAIJ,
2598 #else
2599        0,
2600 #endif
2601 /*74*/ MatSetValuesAdifor_SeqAIJ,
2602        MatFDColoringApply_AIJ,
2603        0,
2604        0,
2605        0,
2606 /*79*/ 0,
2607        0,
2608        0,
2609        0,
2610        MatLoad_SeqAIJ,
2611 /*84*/ MatIsSymmetric_SeqAIJ,
2612        MatIsHermitian_SeqAIJ,
2613        0,
2614        0,
2615        0,
2616 /*89*/ MatMatMult_SeqAIJ_SeqAIJ,
2617        MatMatMultSymbolic_SeqAIJ_SeqAIJ,
2618        MatMatMultNumeric_SeqAIJ_SeqAIJ,
2619        MatPtAP_Basic,
2620        MatPtAPSymbolic_SeqAIJ,
2621 /*94*/ MatPtAPNumeric_SeqAIJ,
2622        MatMatMultTranspose_SeqAIJ_SeqAIJ,
2623        MatMatMultTransposeSymbolic_SeqAIJ_SeqAIJ,
2624        MatMatMultTransposeNumeric_SeqAIJ_SeqAIJ,
2625        MatPtAPSymbolic_SeqAIJ_SeqAIJ,
2626 /*99*/ MatPtAPNumeric_SeqAIJ_SeqAIJ,
2627        0,
2628        0,
2629        MatConjugate_SeqAIJ,
2630        0,
2631 /*104*/MatSetValuesRow_SeqAIJ,
2632        MatRealPart_SeqAIJ,
2633        MatImaginaryPart_SeqAIJ,
2634        0,
2635        0,
2636 /*109*/0,
2637        0,
2638        MatGetRowMin_SeqAIJ,
2639        0,
2640        MatMissingDiagonal_SeqAIJ,
2641 /*114*/0,
2642        0,
2643        0,
2644        0,
2645        0,
2646 /*119*/0,
2647        0,
2648        0,
2649        0,
2650        MatGetMultiProcBlock_SeqAIJ
2651 };
2652 
2653 EXTERN_C_BEGIN
2654 #undef __FUNCT__
2655 #define __FUNCT__ "MatSeqAIJSetColumnIndices_SeqAIJ"
2656 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqAIJSetColumnIndices_SeqAIJ(Mat mat,PetscInt *indices)
2657 {
2658   Mat_SeqAIJ *aij = (Mat_SeqAIJ *)mat->data;
2659   PetscInt   i,nz,n;
2660 
2661   PetscFunctionBegin;
2662 
2663   nz = aij->maxnz;
2664   n  = mat->rmap->n;
2665   for (i=0; i<nz; i++) {
2666     aij->j[i] = indices[i];
2667   }
2668   aij->nz = nz;
2669   for (i=0; i<n; i++) {
2670     aij->ilen[i] = aij->imax[i];
2671   }
2672 
2673   PetscFunctionReturn(0);
2674 }
2675 EXTERN_C_END
2676 
2677 #undef __FUNCT__
2678 #define __FUNCT__ "MatSeqAIJSetColumnIndices"
2679 /*@
2680     MatSeqAIJSetColumnIndices - Set the column indices for all the rows
2681        in the matrix.
2682 
2683   Input Parameters:
2684 +  mat - the SeqAIJ matrix
2685 -  indices - the column indices
2686 
2687   Level: advanced
2688 
2689   Notes:
2690     This can be called if you have precomputed the nonzero structure of the
2691   matrix and want to provide it to the matrix object to improve the performance
2692   of the MatSetValues() operation.
2693 
2694     You MUST have set the correct numbers of nonzeros per row in the call to
2695   MatCreateSeqAIJ(), and the columns indices MUST be sorted.
2696 
2697     MUST be called before any calls to MatSetValues();
2698 
2699     The indices should start with zero, not one.
2700 
2701 @*/
2702 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqAIJSetColumnIndices(Mat mat,PetscInt *indices)
2703 {
2704   PetscErrorCode ierr,(*f)(Mat,PetscInt *);
2705 
2706   PetscFunctionBegin;
2707   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2708   PetscValidPointer(indices,2);
2709   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatSeqAIJSetColumnIndices_C",(void (**)(void))&f);CHKERRQ(ierr);
2710   if (f) {
2711     ierr = (*f)(mat,indices);CHKERRQ(ierr);
2712   } else {
2713     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Wrong type of matrix to set column indices");
2714   }
2715   PetscFunctionReturn(0);
2716 }
2717 
2718 /* ----------------------------------------------------------------------------------------*/
2719 
2720 EXTERN_C_BEGIN
2721 #undef __FUNCT__
2722 #define __FUNCT__ "MatStoreValues_SeqAIJ"
2723 PetscErrorCode PETSCMAT_DLLEXPORT MatStoreValues_SeqAIJ(Mat mat)
2724 {
2725   Mat_SeqAIJ     *aij = (Mat_SeqAIJ *)mat->data;
2726   PetscErrorCode ierr;
2727   size_t         nz = aij->i[mat->rmap->n];
2728 
2729   PetscFunctionBegin;
2730   if (aij->nonew != 1) {
2731     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
2732   }
2733 
2734   /* allocate space for values if not already there */
2735   if (!aij->saved_values) {
2736     ierr = PetscMalloc((nz+1)*sizeof(PetscScalar),&aij->saved_values);CHKERRQ(ierr);
2737     ierr = PetscLogObjectMemory(mat,(nz+1)*sizeof(PetscScalar));CHKERRQ(ierr);
2738   }
2739 
2740   /* copy values over */
2741   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
2742   PetscFunctionReturn(0);
2743 }
2744 EXTERN_C_END
2745 
2746 #undef __FUNCT__
2747 #define __FUNCT__ "MatStoreValues"
2748 /*@
2749     MatStoreValues - Stashes a copy of the matrix values; this allows, for
2750        example, reuse of the linear part of a Jacobian, while recomputing the
2751        nonlinear portion.
2752 
2753    Collect on Mat
2754 
2755   Input Parameters:
2756 .  mat - the matrix (currently only AIJ matrices support this option)
2757 
2758   Level: advanced
2759 
2760   Common Usage, with SNESSolve():
2761 $    Create Jacobian matrix
2762 $    Set linear terms into matrix
2763 $    Apply boundary conditions to matrix, at this time matrix must have
2764 $      final nonzero structure (i.e. setting the nonlinear terms and applying
2765 $      boundary conditions again will not change the nonzero structure
2766 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
2767 $    ierr = MatStoreValues(mat);
2768 $    Call SNESSetJacobian() with matrix
2769 $    In your Jacobian routine
2770 $      ierr = MatRetrieveValues(mat);
2771 $      Set nonlinear terms in matrix
2772 
2773   Common Usage without SNESSolve(), i.e. when you handle nonlinear solve yourself:
2774 $    // build linear portion of Jacobian
2775 $    ierr = MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);
2776 $    ierr = MatStoreValues(mat);
2777 $    loop over nonlinear iterations
2778 $       ierr = MatRetrieveValues(mat);
2779 $       // call MatSetValues(mat,...) to set nonliner portion of Jacobian
2780 $       // call MatAssemblyBegin/End() on matrix
2781 $       Solve linear system with Jacobian
2782 $    endloop
2783 
2784   Notes:
2785     Matrix must already be assemblied before calling this routine
2786     Must set the matrix option MatSetOption(mat,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE); before
2787     calling this routine.
2788 
2789     When this is called multiple times it overwrites the previous set of stored values
2790     and does not allocated additional space.
2791 
2792 .seealso: MatRetrieveValues()
2793 
2794 @*/
2795 PetscErrorCode PETSCMAT_DLLEXPORT MatStoreValues(Mat mat)
2796 {
2797   PetscErrorCode ierr,(*f)(Mat);
2798 
2799   PetscFunctionBegin;
2800   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2801   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2802   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2803 
2804   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatStoreValues_C",(void (**)(void))&f);CHKERRQ(ierr);
2805   if (f) {
2806     ierr = (*f)(mat);CHKERRQ(ierr);
2807   } else {
2808     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Wrong type of matrix to store values");
2809   }
2810   PetscFunctionReturn(0);
2811 }
2812 
2813 EXTERN_C_BEGIN
2814 #undef __FUNCT__
2815 #define __FUNCT__ "MatRetrieveValues_SeqAIJ"
2816 PetscErrorCode PETSCMAT_DLLEXPORT MatRetrieveValues_SeqAIJ(Mat mat)
2817 {
2818   Mat_SeqAIJ     *aij = (Mat_SeqAIJ *)mat->data;
2819   PetscErrorCode ierr;
2820   PetscInt       nz = aij->i[mat->rmap->n];
2821 
2822   PetscFunctionBegin;
2823   if (aij->nonew != 1) {
2824     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
2825   }
2826   if (!aij->saved_values) {
2827     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
2828   }
2829   /* copy values over */
2830   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
2831   PetscFunctionReturn(0);
2832 }
2833 EXTERN_C_END
2834 
2835 #undef __FUNCT__
2836 #define __FUNCT__ "MatRetrieveValues"
2837 /*@
2838     MatRetrieveValues - Retrieves the copy of the matrix values; this allows, for
2839        example, reuse of the linear part of a Jacobian, while recomputing the
2840        nonlinear portion.
2841 
2842    Collect on Mat
2843 
2844   Input Parameters:
2845 .  mat - the matrix (currently on AIJ matrices support this option)
2846 
2847   Level: advanced
2848 
2849 .seealso: MatStoreValues()
2850 
2851 @*/
2852 PetscErrorCode PETSCMAT_DLLEXPORT MatRetrieveValues(Mat mat)
2853 {
2854   PetscErrorCode ierr,(*f)(Mat);
2855 
2856   PetscFunctionBegin;
2857   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2858   if (!mat->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2859   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2860 
2861   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatRetrieveValues_C",(void (**)(void))&f);CHKERRQ(ierr);
2862   if (f) {
2863     ierr = (*f)(mat);CHKERRQ(ierr);
2864   } else {
2865     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Wrong type of matrix to retrieve values");
2866   }
2867   PetscFunctionReturn(0);
2868 }
2869 
2870 
2871 /* --------------------------------------------------------------------------------*/
2872 #undef __FUNCT__
2873 #define __FUNCT__ "MatCreateSeqAIJ"
2874 /*@C
2875    MatCreateSeqAIJ - Creates a sparse matrix in AIJ (compressed row) format
2876    (the default parallel PETSc format).  For good matrix assembly performance
2877    the user should preallocate the matrix storage by setting the parameter nz
2878    (or the array nnz).  By setting these parameters accurately, performance
2879    during matrix assembly can be increased by more than a factor of 50.
2880 
2881    Collective on MPI_Comm
2882 
2883    Input Parameters:
2884 +  comm - MPI communicator, set to PETSC_COMM_SELF
2885 .  m - number of rows
2886 .  n - number of columns
2887 .  nz - number of nonzeros per row (same for all rows)
2888 -  nnz - array containing the number of nonzeros in the various rows
2889          (possibly different for each row) or PETSC_NULL
2890 
2891    Output Parameter:
2892 .  A - the matrix
2893 
2894    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
2895    MatXXXXSetPreallocation() paradgm instead of this routine directly.
2896    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
2897 
2898    Notes:
2899    If nnz is given then nz is ignored
2900 
2901    The AIJ format (also called the Yale sparse matrix format or
2902    compressed row storage), is fully compatible with standard Fortran 77
2903    storage.  That is, the stored row and column indices can begin at
2904    either one (as in Fortran) or zero.  See the users' manual for details.
2905 
2906    Specify the preallocated storage with either nz or nnz (not both).
2907    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
2908    allocation.  For large problems you MUST preallocate memory or you
2909    will get TERRIBLE performance, see the users' manual chapter on matrices.
2910 
2911    By default, this format uses inodes (identical nodes) when possible, to
2912    improve numerical efficiency of matrix-vector products and solves. We
2913    search for consecutive rows with the same nonzero structure, thereby
2914    reusing matrix information to achieve increased efficiency.
2915 
2916    Options Database Keys:
2917 +  -mat_no_inode  - Do not use inodes
2918 -  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
2919 
2920    Level: intermediate
2921 
2922 .seealso: MatCreate(), MatCreateMPIAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays()
2923 
2924 @*/
2925 PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqAIJ(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
2926 {
2927   PetscErrorCode ierr;
2928 
2929   PetscFunctionBegin;
2930   ierr = MatCreate(comm,A);CHKERRQ(ierr);
2931   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
2932   ierr = MatSetType(*A,MATSEQAIJ);CHKERRQ(ierr);
2933   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*A,nz,nnz);CHKERRQ(ierr);
2934   PetscFunctionReturn(0);
2935 }
2936 
2937 #undef __FUNCT__
2938 #define __FUNCT__ "MatSeqAIJSetPreallocation"
2939 /*@C
2940    MatSeqAIJSetPreallocation - For good matrix assembly performance
2941    the user should preallocate the matrix storage by setting the parameter nz
2942    (or the array nnz).  By setting these parameters accurately, performance
2943    during matrix assembly can be increased by more than a factor of 50.
2944 
2945    Collective on MPI_Comm
2946 
2947    Input Parameters:
2948 +  B - The matrix-free
2949 .  nz - number of nonzeros per row (same for all rows)
2950 -  nnz - array containing the number of nonzeros in the various rows
2951          (possibly different for each row) or PETSC_NULL
2952 
2953    Notes:
2954      If nnz is given then nz is ignored
2955 
2956     The AIJ format (also called the Yale sparse matrix format or
2957    compressed row storage), is fully compatible with standard Fortran 77
2958    storage.  That is, the stored row and column indices can begin at
2959    either one (as in Fortran) or zero.  See the users' manual for details.
2960 
2961    Specify the preallocated storage with either nz or nnz (not both).
2962    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
2963    allocation.  For large problems you MUST preallocate memory or you
2964    will get TERRIBLE performance, see the users' manual chapter on matrices.
2965 
2966    You can call MatGetInfo() to get information on how effective the preallocation was;
2967    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
2968    You can also run with the option -info and look for messages with the string
2969    malloc in them to see if additional memory allocation was needed.
2970 
2971    Developers: Use nz of MAT_SKIP_ALLOCATION to not allocate any space for the matrix
2972    entries or columns indices
2973 
2974    By default, this format uses inodes (identical nodes) when possible, to
2975    improve numerical efficiency of matrix-vector products and solves. We
2976    search for consecutive rows with the same nonzero structure, thereby
2977    reusing matrix information to achieve increased efficiency.
2978 
2979    Options Database Keys:
2980 +  -mat_no_inode  - Do not use inodes
2981 .  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
2982 -  -mat_aij_oneindex - Internally use indexing starting at 1
2983         rather than 0.  Note that when calling MatSetValues(),
2984         the user still MUST index entries starting at 0!
2985 
2986    Level: intermediate
2987 
2988 .seealso: MatCreate(), MatCreateMPIAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays(), MatGetInfo()
2989 
2990 @*/
2991 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqAIJSetPreallocation(Mat B,PetscInt nz,const PetscInt nnz[])
2992 {
2993   PetscErrorCode ierr,(*f)(Mat,PetscInt,const PetscInt[]);
2994 
2995   PetscFunctionBegin;
2996   ierr = PetscObjectQueryFunction((PetscObject)B,"MatSeqAIJSetPreallocation_C",(void (**)(void))&f);CHKERRQ(ierr);
2997   if (f) {
2998     ierr = (*f)(B,nz,nnz);CHKERRQ(ierr);
2999   }
3000   PetscFunctionReturn(0);
3001 }
3002 
3003 EXTERN_C_BEGIN
3004 #undef __FUNCT__
3005 #define __FUNCT__ "MatSeqAIJSetPreallocation_SeqAIJ"
3006 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqAIJSetPreallocation_SeqAIJ(Mat B,PetscInt nz,const PetscInt *nnz)
3007 {
3008   Mat_SeqAIJ     *b;
3009   PetscTruth     skipallocation = PETSC_FALSE;
3010   PetscErrorCode ierr;
3011   PetscInt       i;
3012 
3013   PetscFunctionBegin;
3014 
3015   if (nz == MAT_SKIP_ALLOCATION) {
3016     skipallocation = PETSC_TRUE;
3017     nz             = 0;
3018   }
3019 
3020   ierr = PetscLayoutSetBlockSize(B->rmap,1);CHKERRQ(ierr);
3021   ierr = PetscLayoutSetBlockSize(B->cmap,1);CHKERRQ(ierr);
3022   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3023   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3024 
3025   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
3026   if (nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %d",nz);
3027   if (nnz) {
3028     for (i=0; i<B->rmap->n; i++) {
3029       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]);
3030       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);
3031     }
3032   }
3033 
3034   B->preallocated = PETSC_TRUE;
3035   b = (Mat_SeqAIJ*)B->data;
3036 
3037   if (!skipallocation) {
3038     if (!b->imax) {
3039       ierr = PetscMalloc2(B->rmap->n,PetscInt,&b->imax,B->rmap->n,PetscInt,&b->ilen);CHKERRQ(ierr);
3040       ierr = PetscLogObjectMemory(B,2*B->rmap->n*sizeof(PetscInt));CHKERRQ(ierr);
3041     }
3042     if (!nnz) {
3043       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 10;
3044       else if (nz < 0) nz = 1;
3045       for (i=0; i<B->rmap->n; i++) b->imax[i] = nz;
3046       nz = nz*B->rmap->n;
3047     } else {
3048       nz = 0;
3049       for (i=0; i<B->rmap->n; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
3050     }
3051     /* b->ilen will count nonzeros in each row so far. */
3052     for (i=0; i<B->rmap->n; i++) { b->ilen[i] = 0; }
3053 
3054     /* allocate the matrix space */
3055     ierr = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
3056     ierr = PetscMalloc3(nz,PetscScalar,&b->a,nz,PetscInt,&b->j,B->rmap->n+1,PetscInt,&b->i);CHKERRQ(ierr);
3057     ierr = PetscLogObjectMemory(B,(B->rmap->n+1)*sizeof(PetscInt)+nz*(sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
3058     b->i[0] = 0;
3059     for (i=1; i<B->rmap->n+1; i++) {
3060       b->i[i] = b->i[i-1] + b->imax[i-1];
3061     }
3062     b->singlemalloc = PETSC_TRUE;
3063     b->free_a       = PETSC_TRUE;
3064     b->free_ij      = PETSC_TRUE;
3065   } else {
3066     b->free_a       = PETSC_FALSE;
3067     b->free_ij      = PETSC_FALSE;
3068   }
3069 
3070   b->nz                = 0;
3071   b->maxnz             = nz;
3072   B->info.nz_unneeded  = (double)b->maxnz;
3073   PetscFunctionReturn(0);
3074 }
3075 EXTERN_C_END
3076 
3077 #undef  __FUNCT__
3078 #define __FUNCT__  "MatSeqAIJSetPreallocationCSR"
3079 /*@
3080    MatSeqAIJSetPreallocationCSR - Allocates memory for a sparse sequential matrix in AIJ format.
3081 
3082    Input Parameters:
3083 +  B - the matrix
3084 .  i - the indices into j for the start of each row (starts with zero)
3085 .  j - the column indices for each row (starts with zero) these must be sorted for each row
3086 -  v - optional values in the matrix
3087 
3088    Level: developer
3089 
3090    The i,j,v values are COPIED with this routine; to avoid the copy use MatCreateSeqAIJWithArrays()
3091 
3092 .keywords: matrix, aij, compressed row, sparse, sequential
3093 
3094 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatSeqAIJSetPreallocation(), MatCreateSeqAIJ(), SeqAIJ
3095 @*/
3096 PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat B,const PetscInt i[],const PetscInt j[],const PetscScalar v[])
3097 {
3098   PetscErrorCode (*f)(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
3099   PetscErrorCode ierr;
3100 
3101   PetscFunctionBegin;
3102   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3103   ierr = PetscObjectQueryFunction((PetscObject)B,"MatSeqAIJSetPreallocationCSR_C",(void (**)(void))&f);CHKERRQ(ierr);
3104   if (f) {
3105     ierr = (*f)(B,i,j,v);CHKERRQ(ierr);
3106   }
3107   PetscFunctionReturn(0);
3108 }
3109 
3110 EXTERN_C_BEGIN
3111 #undef  __FUNCT__
3112 #define __FUNCT__  "MatSeqAIJSetPreallocationCSR_SeqAIJ"
3113 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqAIJSetPreallocationCSR_SeqAIJ(Mat B,const PetscInt Ii[],const PetscInt J[],const PetscScalar v[])
3114 {
3115   PetscInt       i;
3116   PetscInt       m,n;
3117   PetscInt       nz;
3118   PetscInt       *nnz, nz_max = 0;
3119   PetscScalar    *values;
3120   PetscErrorCode ierr;
3121 
3122   PetscFunctionBegin;
3123   ierr = MatGetSize(B, &m, &n);CHKERRQ(ierr);
3124 
3125   if (Ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Ii[0] must be 0 it is %D", Ii[0]);
3126   ierr = PetscMalloc((m+1) * sizeof(PetscInt), &nnz);CHKERRQ(ierr);
3127   for(i = 0; i < m; i++) {
3128     nz     = Ii[i+1]- Ii[i];
3129     nz_max = PetscMax(nz_max, nz);
3130     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Local row %D has a negative number of columns %D", i, nnz);
3131     nnz[i] = nz;
3132   }
3133   ierr = MatSeqAIJSetPreallocation(B, 0, nnz);CHKERRQ(ierr);
3134   ierr = PetscFree(nnz);CHKERRQ(ierr);
3135 
3136   if (v) {
3137     values = (PetscScalar*) v;
3138   } else {
3139     ierr = PetscMalloc(nz_max*sizeof(PetscScalar), &values);CHKERRQ(ierr);
3140     ierr = PetscMemzero(values, nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
3141   }
3142 
3143   for(i = 0; i < m; i++) {
3144     nz  = Ii[i+1] - Ii[i];
3145     ierr = MatSetValues_SeqAIJ(B, 1, &i, nz, J+Ii[i], values + (v ? Ii[i] : 0), INSERT_VALUES);CHKERRQ(ierr);
3146   }
3147 
3148   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3149   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3150 
3151   if (!v) {
3152     ierr = PetscFree(values);CHKERRQ(ierr);
3153   }
3154   PetscFunctionReturn(0);
3155 }
3156 EXTERN_C_END
3157 
3158 #include "../src/mat/impls/dense/seq/dense.h"
3159 #include "private/petscaxpy.h"
3160 
3161 #undef __FUNCT__
3162 #define __FUNCT__ "MatMatMultNumeric_SeqDense_SeqAIJ"
3163 /*
3164     Computes (B'*A')' since computing B*A directly is untenable
3165 
3166                n                       p                          p
3167         (              )       (              )         (                  )
3168       m (      A       )  *  n (       B      )   =   m (         C        )
3169         (              )       (              )         (                  )
3170 
3171 */
3172 PetscErrorCode MatMatMultNumeric_SeqDense_SeqAIJ(Mat A,Mat B,Mat C)
3173 {
3174   PetscErrorCode     ierr;
3175   Mat_SeqDense       *sub_a = (Mat_SeqDense*)A->data;
3176   Mat_SeqAIJ         *sub_b = (Mat_SeqAIJ*)B->data;
3177   Mat_SeqDense       *sub_c = (Mat_SeqDense*)C->data;
3178   PetscInt           i,n,m,q,p;
3179   const PetscInt     *ii,*idx;
3180   const PetscScalar  *b,*a,*a_q;
3181   PetscScalar        *c,*c_q;
3182 
3183   PetscFunctionBegin;
3184   m = A->rmap->n;
3185   n = A->cmap->n;
3186   p = B->cmap->n;
3187   a = sub_a->v;
3188   b = sub_b->a;
3189   c = sub_c->v;
3190   ierr = PetscMemzero(c,m*p*sizeof(PetscScalar));CHKERRQ(ierr);
3191 
3192   ii  = sub_b->i;
3193   idx = sub_b->j;
3194   for (i=0; i<n; i++) {
3195     q = ii[i+1] - ii[i];
3196     while (q-->0) {
3197       c_q = c + m*(*idx);
3198       a_q = a + m*i;
3199       PetscAXPY(c_q,*b,a_q,m);
3200       idx++;
3201       b++;
3202     }
3203   }
3204   PetscFunctionReturn(0);
3205 }
3206 
3207 #undef __FUNCT__
3208 #define __FUNCT__ "MatMatMultSymbolic_SeqDense_SeqAIJ"
3209 PetscErrorCode MatMatMultSymbolic_SeqDense_SeqAIJ(Mat A,Mat B,PetscReal fill,Mat *C)
3210 {
3211   PetscErrorCode ierr;
3212   PetscInt       m=A->rmap->n,n=B->cmap->n;
3213   Mat            Cmat;
3214 
3215   PetscFunctionBegin;
3216   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);
3217   ierr = MatCreate(((PetscObject)A)->comm,&Cmat);CHKERRQ(ierr);
3218   ierr = MatSetSizes(Cmat,m,n,m,n);CHKERRQ(ierr);
3219   ierr = MatSetType(Cmat,MATSEQDENSE);CHKERRQ(ierr);
3220   ierr = MatSeqDenseSetPreallocation(Cmat,PETSC_NULL);CHKERRQ(ierr);
3221   Cmat->assembled = PETSC_TRUE;
3222   *C = Cmat;
3223   PetscFunctionReturn(0);
3224 }
3225 
3226 /* ----------------------------------------------------------------*/
3227 #undef __FUNCT__
3228 #define __FUNCT__ "MatMatMult_SeqDense_SeqAIJ"
3229 PetscErrorCode MatMatMult_SeqDense_SeqAIJ(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
3230 {
3231   PetscErrorCode ierr;
3232 
3233   PetscFunctionBegin;
3234   if (scall == MAT_INITIAL_MATRIX){
3235     ierr = MatMatMultSymbolic_SeqDense_SeqAIJ(A,B,fill,C);CHKERRQ(ierr);
3236   }
3237   ierr = MatMatMultNumeric_SeqDense_SeqAIJ(A,B,*C);CHKERRQ(ierr);
3238   PetscFunctionReturn(0);
3239 }
3240 
3241 
3242 /*MC
3243    MATSEQAIJ - MATSEQAIJ = "seqaij" - A matrix type to be used for sequential sparse matrices,
3244    based on compressed sparse row format.
3245 
3246    Options Database Keys:
3247 . -mat_type seqaij - sets the matrix type to "seqaij" during a call to MatSetFromOptions()
3248 
3249   Level: beginner
3250 
3251 .seealso: MatCreateSeqAIJ(), MatSetFromOptions(), MatSetType(), MatCreate(), MatType
3252 M*/
3253 
3254 EXTERN_C_BEGIN
3255 #if defined(PETSC_HAVE_PASTIX)
3256 extern PetscErrorCode MatGetFactor_seqaij_pastix(Mat,MatFactorType,Mat*);
3257 #endif
3258 #if defined(PETSC_HAVE_ESSL) && !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_SCALAR_SINGLE) && !defined(PETSC_USE_SCALAR_MAT_SINGLE)
3259 extern PetscErrorCode MatGetFactor_seqaij_essl(Mat,MatFactorType,Mat *);
3260 #endif
3261 extern PetscErrorCode PETSCMAT_DLLEXPORT MatConvert_SeqAIJ_SeqAIJCRL(Mat,MatType,MatReuse,Mat*);
3262 extern PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactor_seqaij_petsc(Mat,MatFactorType,Mat*);
3263 extern PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactor_seqaij_bas(Mat,MatFactorType,Mat*);
3264 extern PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactorAvailable_seqaij_petsc(Mat,MatFactorType,PetscTruth *);
3265 #if defined(PETSC_HAVE_MUMPS)
3266 extern PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactor_aij_mumps(Mat,MatFactorType,Mat*);
3267 #endif
3268 #if defined(PETSC_HAVE_SUPERLU)
3269 extern PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactor_seqaij_superlu(Mat,MatFactorType,Mat*);
3270 #endif
3271 #if defined(PETSC_HAVE_SUPERLU_DIST)
3272 extern PetscErrorCode MatGetFactor_seqaij_superlu_dist(Mat,MatFactorType,Mat*);
3273 #endif
3274 #if defined(PETSC_HAVE_SPOOLES)
3275 extern PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactor_seqaij_spooles(Mat,MatFactorType,Mat*);
3276 #endif
3277 #if defined(PETSC_HAVE_UMFPACK)
3278 extern PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactor_seqaij_umfpack(Mat,MatFactorType,Mat*);
3279 #endif
3280 #if defined(PETSC_HAVE_CHOLMOD)
3281 extern PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactor_seqaij_cholmod(Mat,MatFactorType,Mat*);
3282 #endif
3283 #if defined(PETSC_HAVE_LUSOL)
3284 extern PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactor_seqaij_lusol(Mat,MatFactorType,Mat*);
3285 #endif
3286 #if defined(PETSC_HAVE_MATLAB_ENGINE)
3287 extern PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactor_seqaij_matlab(Mat,MatFactorType,Mat*);
3288 extern PetscErrorCode PETSCMAT_DLLEXPORT MatlabEnginePut_SeqAIJ(PetscObject,void*);
3289 extern PetscErrorCode PETSCMAT_DLLEXPORT MatlabEngineGet_SeqAIJ(PetscObject,void*);
3290 #endif
3291 EXTERN_C_END
3292 
3293 
3294 EXTERN_C_BEGIN
3295 #undef __FUNCT__
3296 #define __FUNCT__ "MatCreate_SeqAIJ"
3297 PetscErrorCode PETSCMAT_DLLEXPORT MatCreate_SeqAIJ(Mat B)
3298 {
3299   Mat_SeqAIJ     *b;
3300   PetscErrorCode ierr;
3301   PetscMPIInt    size;
3302 
3303   PetscFunctionBegin;
3304   ierr = MPI_Comm_size(((PetscObject)B)->comm,&size);CHKERRQ(ierr);
3305   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Comm must be of size 1");
3306 
3307   ierr = PetscNewLog(B,Mat_SeqAIJ,&b);CHKERRQ(ierr);
3308   B->data             = (void*)b;
3309   ierr = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
3310   B->mapping          = 0;
3311   b->row              = 0;
3312   b->col              = 0;
3313   b->icol             = 0;
3314   b->reallocs         = 0;
3315   b->ignorezeroentries = PETSC_FALSE;
3316   b->roworiented       = PETSC_TRUE;
3317   b->nonew             = 0;
3318   b->diag              = 0;
3319   b->solve_work        = 0;
3320   B->spptr             = 0;
3321   b->saved_values      = 0;
3322   b->idiag             = 0;
3323   b->mdiag             = 0;
3324   b->ssor_work         = 0;
3325   b->omega             = 1.0;
3326   b->fshift            = 0.0;
3327   b->idiagvalid        = PETSC_FALSE;
3328   b->keepnonzeropattern    = PETSC_FALSE;
3329   b->xtoy              = 0;
3330   b->XtoY              = 0;
3331   b->compressedrow.use     = PETSC_FALSE;
3332   b->compressedrow.nrows   = B->rmap->n;
3333   b->compressedrow.i       = PETSC_NULL;
3334   b->compressedrow.rindex  = PETSC_NULL;
3335   b->compressedrow.checked = PETSC_FALSE;
3336   B->same_nonzero          = PETSC_FALSE;
3337 
3338   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
3339 #if defined(PETSC_HAVE_MATLAB_ENGINE)
3340   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_matlab_C",
3341 					   "MatGetFactor_seqaij_matlab",
3342 					   MatGetFactor_seqaij_matlab);CHKERRQ(ierr);
3343   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"PetscMatlabEnginePut_C","MatlabEnginePut_SeqAIJ",MatlabEnginePut_SeqAIJ);CHKERRQ(ierr);
3344   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"PetscMatlabEngineGet_C","MatlabEngineGet_SeqAIJ",MatlabEngineGet_SeqAIJ);CHKERRQ(ierr);
3345 #endif
3346 #if defined(PETSC_HAVE_PASTIX)
3347   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_pastix_C",
3348 					   "MatGetFactor_seqaij_pastix",
3349 					   MatGetFactor_seqaij_pastix);CHKERRQ(ierr);
3350 #endif
3351 #if defined(PETSC_HAVE_ESSL) && !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_SCALAR_SINGLE) && !defined(PETSC_USE_SCALAR_MAT_SINGLE)
3352   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_essl_C",
3353                                      "MatGetFactor_seqaij_essl",
3354                                      MatGetFactor_seqaij_essl);CHKERRQ(ierr);
3355 #endif
3356 #if defined(PETSC_HAVE_SUPERLU)
3357   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_superlu_C",
3358                                      "MatGetFactor_seqaij_superlu",
3359                                      MatGetFactor_seqaij_superlu);CHKERRQ(ierr);
3360 #endif
3361 #if defined(PETSC_HAVE_SUPERLU_DIST)
3362   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_superlu_dist_C",
3363                                      "MatGetFactor_seqaij_superlu_dist",
3364                                      MatGetFactor_seqaij_superlu_dist);CHKERRQ(ierr);
3365 #endif
3366 #if defined(PETSC_HAVE_SPOOLES)
3367   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_spooles_C",
3368                                      "MatGetFactor_seqaij_spooles",
3369                                      MatGetFactor_seqaij_spooles);CHKERRQ(ierr);
3370 #endif
3371 #if defined(PETSC_HAVE_MUMPS)
3372   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_mumps_C",
3373                                      "MatGetFactor_aij_mumps",
3374                                      MatGetFactor_aij_mumps);CHKERRQ(ierr);
3375 #endif
3376 #if defined(PETSC_HAVE_UMFPACK)
3377     ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_umfpack_C",
3378                                      "MatGetFactor_seqaij_umfpack",
3379                                      MatGetFactor_seqaij_umfpack);CHKERRQ(ierr);
3380 #endif
3381 #if defined(PETSC_HAVE_CHOLMOD)
3382     ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_cholmod_C",
3383                                      "MatGetFactor_seqaij_cholmod",
3384                                      MatGetFactor_seqaij_cholmod);CHKERRQ(ierr);
3385 #endif
3386 #if defined(PETSC_HAVE_LUSOL)
3387     ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_lusol_C",
3388                                      "MatGetFactor_seqaij_lusol",
3389                                      MatGetFactor_seqaij_lusol);CHKERRQ(ierr);
3390 #endif
3391   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_petsc_C",
3392                                      "MatGetFactor_seqaij_petsc",
3393                                      MatGetFactor_seqaij_petsc);CHKERRQ(ierr);
3394   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactorAvailable_petsc_C",
3395                                      "MatGetFactorAvailable_seqaij_petsc",
3396                                      MatGetFactorAvailable_seqaij_petsc);CHKERRQ(ierr);
3397   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_bas_C",
3398                                      "MatGetFactor_seqaij_bas",
3399                                      MatGetFactor_seqaij_bas);
3400   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqAIJSetColumnIndices_C",
3401                                      "MatSeqAIJSetColumnIndices_SeqAIJ",
3402                                      MatSeqAIJSetColumnIndices_SeqAIJ);CHKERRQ(ierr);
3403   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatStoreValues_C",
3404                                      "MatStoreValues_SeqAIJ",
3405                                      MatStoreValues_SeqAIJ);CHKERRQ(ierr);
3406   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatRetrieveValues_C",
3407                                      "MatRetrieveValues_SeqAIJ",
3408                                      MatRetrieveValues_SeqAIJ);CHKERRQ(ierr);
3409   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqaij_seqsbaij_C",
3410                                      "MatConvert_SeqAIJ_SeqSBAIJ",
3411                                       MatConvert_SeqAIJ_SeqSBAIJ);CHKERRQ(ierr);
3412   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqaij_seqbaij_C",
3413                                      "MatConvert_SeqAIJ_SeqBAIJ",
3414                                       MatConvert_SeqAIJ_SeqBAIJ);CHKERRQ(ierr);
3415   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqaij_seqaijperm_C",
3416                                      "MatConvert_SeqAIJ_SeqAIJPERM",
3417                                       MatConvert_SeqAIJ_SeqAIJPERM);CHKERRQ(ierr);
3418   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqaij_seqaijcrl_C",
3419                                      "MatConvert_SeqAIJ_SeqAIJCRL",
3420                                       MatConvert_SeqAIJ_SeqAIJCRL);CHKERRQ(ierr);
3421   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatIsTranspose_C",
3422                                      "MatIsTranspose_SeqAIJ",
3423                                       MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
3424   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatIsHermitianTranspose_C",
3425                                      "MatIsHermitianTranspose_SeqAIJ",
3426                                       MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
3427   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqAIJSetPreallocation_C",
3428                                      "MatSeqAIJSetPreallocation_SeqAIJ",
3429                                       MatSeqAIJSetPreallocation_SeqAIJ);CHKERRQ(ierr);
3430   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqAIJSetPreallocationCSR_C",
3431 				     "MatSeqAIJSetPreallocationCSR_SeqAIJ",
3432 				      MatSeqAIJSetPreallocationCSR_SeqAIJ);CHKERRQ(ierr);
3433   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatReorderForNonzeroDiagonal_C",
3434                                      "MatReorderForNonzeroDiagonal_SeqAIJ",
3435                                       MatReorderForNonzeroDiagonal_SeqAIJ);CHKERRQ(ierr);
3436   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatMatMult_seqdense_seqaij_C",
3437                                      "MatMatMult_SeqDense_SeqAIJ",
3438                                       MatMatMult_SeqDense_SeqAIJ);CHKERRQ(ierr);
3439   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatMatMultSymbolic_seqdense_seqaij_C",
3440                                      "MatMatMultSymbolic_SeqDense_SeqAIJ",
3441                                       MatMatMultSymbolic_SeqDense_SeqAIJ);CHKERRQ(ierr);
3442   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatMatMultNumeric_seqdense_seqaij_C",
3443                                      "MatMatMultNumeric_SeqDense_SeqAIJ",
3444                                       MatMatMultNumeric_SeqDense_SeqAIJ);CHKERRQ(ierr);
3445   ierr = MatCreate_SeqAIJ_Inode(B);CHKERRQ(ierr);
3446   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
3447   PetscFunctionReturn(0);
3448 }
3449 EXTERN_C_END
3450 
3451 #undef __FUNCT__
3452 #define __FUNCT__ "MatDuplicateNoCreate_SeqAIJ"
3453 /*
3454     Given a matrix generated with MatGetFactor() duplicates all the information in A into B
3455 */
3456 PetscErrorCode MatDuplicateNoCreate_SeqAIJ(Mat C,Mat A,MatDuplicateOption cpvalues,PetscTruth mallocmatspace)
3457 {
3458   Mat_SeqAIJ     *c,*a = (Mat_SeqAIJ*)A->data;
3459   PetscErrorCode ierr;
3460   PetscInt       i,m = A->rmap->n;
3461 
3462   PetscFunctionBegin;
3463   c = (Mat_SeqAIJ*)C->data;
3464 
3465   C->factortype     = A->factortype;
3466   c->row            = 0;
3467   c->col            = 0;
3468   c->icol           = 0;
3469   c->reallocs       = 0;
3470 
3471   C->assembled      = PETSC_TRUE;
3472 
3473   ierr = PetscLayoutSetBlockSize(C->rmap,1);CHKERRQ(ierr);
3474   ierr = PetscLayoutSetBlockSize(C->cmap,1);CHKERRQ(ierr);
3475   ierr = PetscLayoutSetUp(C->rmap);CHKERRQ(ierr);
3476   ierr = PetscLayoutSetUp(C->cmap);CHKERRQ(ierr);
3477 
3478   ierr = PetscMalloc2(m,PetscInt,&c->imax,m,PetscInt,&c->ilen);CHKERRQ(ierr);
3479   ierr = PetscLogObjectMemory(C, 2*m*sizeof(PetscInt));CHKERRQ(ierr);
3480   for (i=0; i<m; i++) {
3481     c->imax[i] = a->imax[i];
3482     c->ilen[i] = a->ilen[i];
3483   }
3484 
3485   /* allocate the matrix space */
3486   if (mallocmatspace){
3487     ierr = PetscMalloc3(a->i[m],PetscScalar,&c->a,a->i[m],PetscInt,&c->j,m+1,PetscInt,&c->i);CHKERRQ(ierr);
3488     ierr = PetscLogObjectMemory(C, a->i[m]*(sizeof(PetscScalar)+sizeof(PetscInt))+(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
3489     c->singlemalloc = PETSC_TRUE;
3490     ierr = PetscMemcpy(c->i,a->i,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
3491     if (m > 0) {
3492       ierr = PetscMemcpy(c->j,a->j,(a->i[m])*sizeof(PetscInt));CHKERRQ(ierr);
3493       if (cpvalues == MAT_COPY_VALUES) {
3494         ierr = PetscMemcpy(c->a,a->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
3495       } else {
3496         ierr = PetscMemzero(c->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
3497       }
3498     }
3499   }
3500 
3501   c->ignorezeroentries = a->ignorezeroentries;
3502   c->roworiented       = a->roworiented;
3503   c->nonew             = a->nonew;
3504   if (a->diag) {
3505     ierr = PetscMalloc((m+1)*sizeof(PetscInt),&c->diag);CHKERRQ(ierr);
3506     ierr = PetscLogObjectMemory(C,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
3507     for (i=0; i<m; i++) {
3508       c->diag[i] = a->diag[i];
3509     }
3510   } else c->diag           = 0;
3511   c->solve_work            = 0;
3512   c->saved_values          = 0;
3513   c->idiag                 = 0;
3514   c->ssor_work             = 0;
3515   c->keepnonzeropattern    = a->keepnonzeropattern;
3516   c->free_a                = PETSC_TRUE;
3517   c->free_ij               = PETSC_TRUE;
3518   c->xtoy                  = 0;
3519   c->XtoY                  = 0;
3520 
3521   c->nz                 = a->nz;
3522   c->maxnz              = a->nz; /* Since we allocate exactly the right amount */
3523   C->preallocated       = PETSC_TRUE;
3524 
3525   c->compressedrow.use     = a->compressedrow.use;
3526   c->compressedrow.nrows   = a->compressedrow.nrows;
3527   c->compressedrow.checked = a->compressedrow.checked;
3528   if (a->compressedrow.checked && a->compressedrow.use){
3529     i = a->compressedrow.nrows;
3530     ierr = PetscMalloc2(i+1,PetscInt,&c->compressedrow.i,i,PetscInt,&c->compressedrow.rindex);CHKERRQ(ierr);
3531     ierr = PetscMemcpy(c->compressedrow.i,a->compressedrow.i,(i+1)*sizeof(PetscInt));CHKERRQ(ierr);
3532     ierr = PetscMemcpy(c->compressedrow.rindex,a->compressedrow.rindex,i*sizeof(PetscInt));CHKERRQ(ierr);
3533   } else {
3534     c->compressedrow.use    = PETSC_FALSE;
3535     c->compressedrow.i      = PETSC_NULL;
3536     c->compressedrow.rindex = PETSC_NULL;
3537   }
3538   C->same_nonzero = A->same_nonzero;
3539   ierr = MatDuplicate_SeqAIJ_Inode(A,cpvalues,&C);CHKERRQ(ierr);
3540 
3541   ierr = PetscFListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
3542   PetscFunctionReturn(0);
3543 }
3544 
3545 #undef __FUNCT__
3546 #define __FUNCT__ "MatDuplicate_SeqAIJ"
3547 PetscErrorCode MatDuplicate_SeqAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
3548 {
3549   PetscErrorCode ierr;
3550 
3551   PetscFunctionBegin;
3552   ierr = MatCreate(((PetscObject)A)->comm,B);CHKERRQ(ierr);
3553   ierr = MatSetSizes(*B,A->rmap->n,A->cmap->n,A->rmap->n,A->cmap->n);CHKERRQ(ierr);
3554   ierr = MatSetType(*B,MATSEQAIJ);CHKERRQ(ierr);
3555   ierr = MatDuplicateNoCreate_SeqAIJ(*B,A,cpvalues,PETSC_TRUE);CHKERRQ(ierr);
3556   PetscFunctionReturn(0);
3557 }
3558 
3559 #undef __FUNCT__
3560 #define __FUNCT__ "MatLoad_SeqAIJ"
3561 PetscErrorCode MatLoad_SeqAIJ(Mat newMat, PetscViewer viewer)
3562 {
3563   Mat_SeqAIJ     *a;
3564   PetscErrorCode ierr;
3565   PetscInt       i,sum,nz,header[4],*rowlengths = 0,M,N,rows,cols;
3566   int            fd;
3567   PetscMPIInt    size;
3568   MPI_Comm       comm;
3569 
3570   PetscFunctionBegin;
3571   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
3572   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3573   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"view must have one processor");
3574   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
3575   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
3576   if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object in file");
3577   M = header[1]; N = header[2]; nz = header[3];
3578 
3579   if (nz < 0) {
3580     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk,cannot load as SeqAIJ");
3581   }
3582 
3583   /* read in row lengths */
3584   ierr = PetscMalloc(M*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
3585   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
3586 
3587   /* check if sum of rowlengths is same as nz */
3588   for (i=0,sum=0; i< M; i++) sum +=rowlengths[i];
3589   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);
3590 
3591   /* set global size if not set already*/
3592   if (newMat->rmap->n < 0 && newMat->rmap->N < 0 && newMat->cmap->n < 0 && newMat->cmap->N < 0) {
3593     ierr = MatSetSizes(newMat,PETSC_DECIDE,PETSC_DECIDE,M,N);CHKERRQ(ierr);
3594   } else {
3595     /* if sizes and type are already set, check if the vector global sizes are correct */
3596     ierr = MatGetSize(newMat,&rows,&cols);CHKERRQ(ierr);
3597     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);
3598   }
3599   ierr = MatSeqAIJSetPreallocation_SeqAIJ(newMat,0,rowlengths);CHKERRQ(ierr);
3600   a = (Mat_SeqAIJ*)newMat->data;
3601 
3602   ierr = PetscBinaryRead(fd,a->j,nz,PETSC_INT);CHKERRQ(ierr);
3603 
3604   /* read in nonzero values */
3605   ierr = PetscBinaryRead(fd,a->a,nz,PETSC_SCALAR);CHKERRQ(ierr);
3606 
3607   /* set matrix "i" values */
3608   a->i[0] = 0;
3609   for (i=1; i<= M; i++) {
3610     a->i[i]      = a->i[i-1] + rowlengths[i-1];
3611     a->ilen[i-1] = rowlengths[i-1];
3612   }
3613   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
3614 
3615   ierr = MatAssemblyBegin(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3616   ierr = MatAssemblyEnd(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3617   PetscFunctionReturn(0);
3618 }
3619 
3620 #undef __FUNCT__
3621 #define __FUNCT__ "MatEqual_SeqAIJ"
3622 PetscErrorCode MatEqual_SeqAIJ(Mat A,Mat B,PetscTruth* flg)
3623 {
3624   Mat_SeqAIJ     *a = (Mat_SeqAIJ *)A->data,*b = (Mat_SeqAIJ *)B->data;
3625   PetscErrorCode ierr;
3626 #if defined(PETSC_USE_COMPLEX)
3627   PetscInt k;
3628 #endif
3629 
3630   PetscFunctionBegin;
3631   /* If the  matrix dimensions are not equal,or no of nonzeros */
3632   if ((A->rmap->n != B->rmap->n) || (A->cmap->n != B->cmap->n) ||(a->nz != b->nz)) {
3633     *flg = PETSC_FALSE;
3634     PetscFunctionReturn(0);
3635   }
3636 
3637   /* if the a->i are the same */
3638   ierr = PetscMemcmp(a->i,b->i,(A->rmap->n+1)*sizeof(PetscInt),flg);CHKERRQ(ierr);
3639   if (!*flg) PetscFunctionReturn(0);
3640 
3641   /* if a->j are the same */
3642   ierr = PetscMemcmp(a->j,b->j,(a->nz)*sizeof(PetscInt),flg);CHKERRQ(ierr);
3643   if (!*flg) PetscFunctionReturn(0);
3644 
3645   /* if a->a are the same */
3646 #if defined(PETSC_USE_COMPLEX)
3647   for (k=0; k<a->nz; k++){
3648     if (PetscRealPart(a->a[k]) != PetscRealPart(b->a[k]) || PetscImaginaryPart(a->a[k]) != PetscImaginaryPart(b->a[k])){
3649       *flg = PETSC_FALSE;
3650       PetscFunctionReturn(0);
3651     }
3652   }
3653 #else
3654   ierr = PetscMemcmp(a->a,b->a,(a->nz)*sizeof(PetscScalar),flg);CHKERRQ(ierr);
3655 #endif
3656   PetscFunctionReturn(0);
3657 }
3658 
3659 #undef __FUNCT__
3660 #define __FUNCT__ "MatCreateSeqAIJWithArrays"
3661 /*@
3662      MatCreateSeqAIJWithArrays - Creates an sequential AIJ matrix using matrix elements (in CSR format)
3663               provided by the user.
3664 
3665       Collective on MPI_Comm
3666 
3667    Input Parameters:
3668 +   comm - must be an MPI communicator of size 1
3669 .   m - number of rows
3670 .   n - number of columns
3671 .   i - row indices
3672 .   j - column indices
3673 -   a - matrix values
3674 
3675    Output Parameter:
3676 .   mat - the matrix
3677 
3678    Level: intermediate
3679 
3680    Notes:
3681        The i, j, and a arrays are not copied by this routine, the user must free these arrays
3682     once the matrix is destroyed
3683 
3684        You cannot set new nonzero locations into this matrix, that will generate an error.
3685 
3686        The i and j indices are 0 based
3687 
3688        The format which is used for the sparse matrix input, is equivalent to a
3689     row-major ordering.. i.e for the following matrix, the input data expected is
3690     as shown:
3691 
3692         1 0 0
3693         2 0 3
3694         4 5 6
3695 
3696         i =  {0,1,3,6}  [size = nrow+1  = 3+1]
3697         j =  {0,0,2,0,1,2}  [size = nz = 6]; values must be sorted for each row
3698         v =  {1,2,3,4,5,6}  [size = nz = 6]
3699 
3700 
3701 .seealso: MatCreate(), MatCreateMPIAIJ(), MatCreateSeqAIJ(), MatCreateMPIAIJWithArrays(), MatMPIAIJSetPreallocationCSR()
3702 
3703 @*/
3704 PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqAIJWithArrays(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt* i,PetscInt*j,PetscScalar *a,Mat *mat)
3705 {
3706   PetscErrorCode ierr;
3707   PetscInt       ii;
3708   Mat_SeqAIJ     *aij;
3709 #if defined(PETSC_USE_DEBUG)
3710   PetscInt       jj;
3711 #endif
3712 
3713   PetscFunctionBegin;
3714   if (i[0]) {
3715     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
3716   }
3717   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
3718   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
3719   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
3720   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
3721   aij  = (Mat_SeqAIJ*)(*mat)->data;
3722   ierr = PetscMalloc2(m,PetscInt,&aij->imax,m,PetscInt,&aij->ilen);CHKERRQ(ierr);
3723 
3724   aij->i = i;
3725   aij->j = j;
3726   aij->a = a;
3727   aij->singlemalloc = PETSC_FALSE;
3728   aij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
3729   aij->free_a       = PETSC_FALSE;
3730   aij->free_ij      = PETSC_FALSE;
3731 
3732   for (ii=0; ii<m; ii++) {
3733     aij->ilen[ii] = aij->imax[ii] = i[ii+1] - i[ii];
3734 #if defined(PETSC_USE_DEBUG)
3735     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]);
3736     for (jj=i[ii]+1; jj<i[ii+1]; jj++) {
3737       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);
3738       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);
3739     }
3740 #endif
3741   }
3742 #if defined(PETSC_USE_DEBUG)
3743   for (ii=0; ii<aij->i[m]; ii++) {
3744     if (j[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %d index = %d",ii,j[ii]);
3745     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]);
3746   }
3747 #endif
3748 
3749   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3750   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3751   PetscFunctionReturn(0);
3752 }
3753 
3754 #undef __FUNCT__
3755 #define __FUNCT__ "MatSetColoring_SeqAIJ"
3756 PetscErrorCode MatSetColoring_SeqAIJ(Mat A,ISColoring coloring)
3757 {
3758   PetscErrorCode ierr;
3759   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3760 
3761   PetscFunctionBegin;
3762   if (coloring->ctype == IS_COLORING_GLOBAL) {
3763     ierr        = ISColoringReference(coloring);CHKERRQ(ierr);
3764     a->coloring = coloring;
3765   } else if (coloring->ctype == IS_COLORING_GHOSTED) {
3766     PetscInt             i,*larray;
3767     ISColoring      ocoloring;
3768     ISColoringValue *colors;
3769 
3770     /* set coloring for diagonal portion */
3771     ierr = PetscMalloc(A->cmap->n*sizeof(PetscInt),&larray);CHKERRQ(ierr);
3772     for (i=0; i<A->cmap->n; i++) {
3773       larray[i] = i;
3774     }
3775     ierr = ISGlobalToLocalMappingApply(A->mapping,IS_GTOLM_MASK,A->cmap->n,larray,PETSC_NULL,larray);CHKERRQ(ierr);
3776     ierr = PetscMalloc(A->cmap->n*sizeof(ISColoringValue),&colors);CHKERRQ(ierr);
3777     for (i=0; i<A->cmap->n; i++) {
3778       colors[i] = coloring->colors[larray[i]];
3779     }
3780     ierr = PetscFree(larray);CHKERRQ(ierr);
3781     ierr = ISColoringCreate(PETSC_COMM_SELF,coloring->n,A->cmap->n,colors,&ocoloring);CHKERRQ(ierr);
3782     a->coloring = ocoloring;
3783   }
3784   PetscFunctionReturn(0);
3785 }
3786 
3787 #if defined(PETSC_HAVE_ADIC)
3788 EXTERN_C_BEGIN
3789 #include "adic/ad_utils.h"
3790 EXTERN_C_END
3791 
3792 #undef __FUNCT__
3793 #define __FUNCT__ "MatSetValuesAdic_SeqAIJ"
3794 PetscErrorCode MatSetValuesAdic_SeqAIJ(Mat A,void *advalues)
3795 {
3796   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
3797   PetscInt        m = A->rmap->n,*ii = a->i,*jj = a->j,nz,i,j,nlen;
3798   PetscScalar     *v = a->a,*values = ((PetscScalar*)advalues)+1;
3799   ISColoringValue *color;
3800 
3801   PetscFunctionBegin;
3802   if (!a->coloring) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Coloring not set for matrix");
3803   nlen  = PetscADGetDerivTypeSize()/sizeof(PetscScalar);
3804   color = a->coloring->colors;
3805   /* loop over rows */
3806   for (i=0; i<m; i++) {
3807     nz = ii[i+1] - ii[i];
3808     /* loop over columns putting computed value into matrix */
3809     for (j=0; j<nz; j++) {
3810       *v++ = values[color[*jj++]];
3811     }
3812     values += nlen; /* jump to next row of derivatives */
3813   }
3814   PetscFunctionReturn(0);
3815 }
3816 #endif
3817 
3818 #undef __FUNCT__
3819 #define __FUNCT__ "MatSetValuesAdifor_SeqAIJ"
3820 PetscErrorCode MatSetValuesAdifor_SeqAIJ(Mat A,PetscInt nl,void *advalues)
3821 {
3822   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
3823   PetscInt         m = A->rmap->n,*ii = a->i,*jj = a->j,nz,i,j;
3824   MatScalar       *v = a->a;
3825   PetscScalar     *values = (PetscScalar *)advalues;
3826   ISColoringValue *color;
3827 
3828   PetscFunctionBegin;
3829   if (!a->coloring) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Coloring not set for matrix");
3830   color = a->coloring->colors;
3831   /* loop over rows */
3832   for (i=0; i<m; i++) {
3833     nz = ii[i+1] - ii[i];
3834     /* loop over columns putting computed value into matrix */
3835     for (j=0; j<nz; j++) {
3836       *v++ = values[color[*jj++]];
3837     }
3838     values += nl; /* jump to next row of derivatives */
3839   }
3840   PetscFunctionReturn(0);
3841 }
3842 
3843 /*
3844     Special version for direct calls from Fortran
3845 */
3846 #if defined(PETSC_HAVE_FORTRAN_CAPS)
3847 #define matsetvaluesseqaij_ MATSETVALUESSEQAIJ
3848 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
3849 #define matsetvaluesseqaij_ matsetvaluesseqaij
3850 #endif
3851 
3852 /* Change these macros so can be used in void function */
3853 #undef CHKERRQ
3854 #define CHKERRQ(ierr) CHKERRABORT(((PetscObject)A)->comm,ierr)
3855 #undef SETERRQ2
3856 #define SETERRQ2(comm,ierr,b,c,d) CHKERRABORT(comm,ierr)
3857 
3858 EXTERN_C_BEGIN
3859 #undef __FUNCT__
3860 #define __FUNCT__ "matsetvaluesseqaij_"
3861 void PETSC_STDCALL matsetvaluesseqaij_(Mat *AA,PetscInt *mm,const PetscInt im[],PetscInt *nn,const PetscInt in[],const PetscScalar v[],InsertMode *isis, PetscErrorCode *_ierr)
3862 {
3863   Mat            A = *AA;
3864   PetscInt       m = *mm, n = *nn;
3865   InsertMode     is = *isis;
3866   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3867   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
3868   PetscInt       *imax,*ai,*ailen;
3869   PetscErrorCode ierr;
3870   PetscInt       *aj,nonew = a->nonew,lastcol = -1;
3871   MatScalar      *ap,value,*aa;
3872   PetscTruth     ignorezeroentries = a->ignorezeroentries;
3873   PetscTruth     roworiented = a->roworiented;
3874 
3875   PetscFunctionBegin;
3876   ierr = MatPreallocated(A);CHKERRQ(ierr);
3877   imax = a->imax;
3878   ai = a->i;
3879   ailen = a->ilen;
3880   aj = a->j;
3881   aa = a->a;
3882 
3883   for (k=0; k<m; k++) { /* loop over added rows */
3884     row  = im[k];
3885     if (row < 0) continue;
3886 #if defined(PETSC_USE_DEBUG)
3887     if (row >= A->rmap->n) SETERRABORT(((PetscObject)A)->comm,PETSC_ERR_ARG_OUTOFRANGE,"Row too large");
3888 #endif
3889     rp   = aj + ai[row]; ap = aa + ai[row];
3890     rmax = imax[row]; nrow = ailen[row];
3891     low  = 0;
3892     high = nrow;
3893     for (l=0; l<n; l++) { /* loop over added columns */
3894       if (in[l] < 0) continue;
3895 #if defined(PETSC_USE_DEBUG)
3896       if (in[l] >= A->cmap->n) SETERRABORT(((PetscObject)A)->comm,PETSC_ERR_ARG_OUTOFRANGE,"Column too large");
3897 #endif
3898       col = in[l];
3899       if (roworiented) {
3900         value = v[l + k*n];
3901       } else {
3902         value = v[k + l*m];
3903       }
3904       if (value == 0.0 && ignorezeroentries && (is == ADD_VALUES)) continue;
3905 
3906       if (col <= lastcol) low = 0; else high = nrow;
3907       lastcol = col;
3908       while (high-low > 5) {
3909         t = (low+high)/2;
3910         if (rp[t] > col) high = t;
3911         else             low  = t;
3912       }
3913       for (i=low; i<high; i++) {
3914         if (rp[i] > col) break;
3915         if (rp[i] == col) {
3916           if (is == ADD_VALUES) ap[i] += value;
3917           else                  ap[i] = value;
3918           goto noinsert;
3919         }
3920       }
3921       if (value == 0.0 && ignorezeroentries) goto noinsert;
3922       if (nonew == 1) goto noinsert;
3923       if (nonew == -1) SETERRABORT(((PetscObject)A)->comm,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero in the matrix");
3924       MatSeqXAIJReallocateAIJ(A,A->rmap->n,1,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
3925       N = nrow++ - 1; a->nz++; high++;
3926       /* shift up all the later entries in this row */
3927       for (ii=N; ii>=i; ii--) {
3928         rp[ii+1] = rp[ii];
3929         ap[ii+1] = ap[ii];
3930       }
3931       rp[i] = col;
3932       ap[i] = value;
3933       noinsert:;
3934       low = i + 1;
3935     }
3936     ailen[row] = nrow;
3937   }
3938   A->same_nonzero = PETSC_FALSE;
3939   PetscFunctionReturnVoid();
3940 }
3941 EXTERN_C_END
3942