xref: /petsc/src/mat/impls/aij/seq/aij.c (revision 38baddfdda9fcd85a080f141519fb97fb01bc0a4)
1 
2 /*
3     Defines the basic matrix operations for the AIJ (compressed row)
4   matrix storage format.
5 */
6 
7 #include "src/mat/impls/aij/seq/aij.h"          /*I "petscmat.h" I*/
8 #include "src/inline/spops.h"
9 #include "src/inline/dot.h"
10 #include "petscbt.h"
11 
12 #undef __FUNCT__
13 #define __FUNCT__ "MatGetRowIJ_SeqAIJ"
14 PetscErrorCode MatGetRowIJ_SeqAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscInt *m,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
15 {
16   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
17   PetscErrorCode ierr;
18   PetscInt        i,ishift;
19 
20   PetscFunctionBegin;
21   *m     = A->m;
22   if (!ia) PetscFunctionReturn(0);
23   ishift = 0;
24   if (symmetric && !A->structurally_symmetric) {
25     ierr = MatToSymmetricIJ_SeqAIJ(A->m,a->i,a->j,ishift,oshift,ia,ja);CHKERRQ(ierr);
26   } else if (oshift == 1) {
27     PetscInt nz = a->i[A->m];
28     /* malloc space and  add 1 to i and j indices */
29     ierr = PetscMalloc((A->m+1)*sizeof(PetscInt),ia);CHKERRQ(ierr);
30     ierr = PetscMalloc((nz+1)*sizeof(PetscInt),ja);CHKERRQ(ierr);
31     for (i=0; i<nz; i++) (*ja)[i] = a->j[i] + 1;
32     for (i=0; i<A->m+1; i++) (*ia)[i] = a->i[i] + 1;
33   } else {
34     *ia = a->i; *ja = a->j;
35   }
36   PetscFunctionReturn(0);
37 }
38 
39 #undef __FUNCT__
40 #define __FUNCT__ "MatRestoreRowIJ_SeqAIJ"
41 PetscErrorCode MatRestoreRowIJ_SeqAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscInt *n,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
42 {
43   PetscErrorCode ierr;
44 
45   PetscFunctionBegin;
46   if (!ia) PetscFunctionReturn(0);
47   if ((symmetric && !A->structurally_symmetric) || oshift == 1) {
48     ierr = PetscFree(*ia);CHKERRQ(ierr);
49     ierr = PetscFree(*ja);CHKERRQ(ierr);
50   }
51   PetscFunctionReturn(0);
52 }
53 
54 #undef __FUNCT__
55 #define __FUNCT__ "MatGetColumnIJ_SeqAIJ"
56 PetscErrorCode MatGetColumnIJ_SeqAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscInt *nn,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
57 {
58   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
59   PetscErrorCode ierr;
60   PetscInt        i,*collengths,*cia,*cja,n = A->n,m = A->m;
61   PetscInt        nz = a->i[m],row,*jj,mr,col;
62 
63   PetscFunctionBegin;
64   *nn     = A->n;
65   if (!ia) PetscFunctionReturn(0);
66   if (symmetric) {
67     ierr = MatToSymmetricIJ_SeqAIJ(A->m,a->i,a->j,0,oshift,ia,ja);CHKERRQ(ierr);
68   } else {
69     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&collengths);CHKERRQ(ierr);
70     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
71     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&cia);CHKERRQ(ierr);
72     ierr = PetscMalloc((nz+1)*sizeof(PetscInt),&cja);CHKERRQ(ierr);
73     jj = a->j;
74     for (i=0; i<nz; i++) {
75       collengths[jj[i]]++;
76     }
77     cia[0] = oshift;
78     for (i=0; i<n; i++) {
79       cia[i+1] = cia[i] + collengths[i];
80     }
81     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
82     jj   = a->j;
83     for (row=0; row<m; row++) {
84       mr = a->i[row+1] - a->i[row];
85       for (i=0; i<mr; i++) {
86         col = *jj++;
87         cja[cia[col] + collengths[col]++ - oshift] = row + oshift;
88       }
89     }
90     ierr = PetscFree(collengths);CHKERRQ(ierr);
91     *ia = cia; *ja = cja;
92   }
93   PetscFunctionReturn(0);
94 }
95 
96 #undef __FUNCT__
97 #define __FUNCT__ "MatRestoreColumnIJ_SeqAIJ"
98 PetscErrorCode MatRestoreColumnIJ_SeqAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscInt *n,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
99 {
100   PetscErrorCode ierr;
101 
102   PetscFunctionBegin;
103   if (!ia) PetscFunctionReturn(0);
104 
105   ierr = PetscFree(*ia);CHKERRQ(ierr);
106   ierr = PetscFree(*ja);CHKERRQ(ierr);
107 
108   PetscFunctionReturn(0);
109 }
110 
111 #define CHUNKSIZE   15
112 
113 #undef __FUNCT__
114 #define __FUNCT__ "MatSetValues_SeqAIJ"
115 PetscErrorCode MatSetValues_SeqAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
116 {
117   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
118   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N,sorted = a->sorted;
119   PetscInt       *imax = a->imax,*ai = a->i,*ailen = a->ilen;
120   PetscErrorCode ierr;
121   PetscInt       *aj = a->j,nonew = a->nonew;
122   PetscScalar    *ap,value,*aa = a->a;
123   PetscTruth     ignorezeroentries = ((a->ignorezeroentries && is == ADD_VALUES) ? PETSC_TRUE:PETSC_FALSE);
124   PetscTruth     roworiented = a->roworiented;
125 
126   PetscFunctionBegin;
127   for (k=0; k<m; k++) { /* loop over added rows */
128     row  = im[k];
129     if (row < 0) continue;
130 #if defined(PETSC_USE_BOPT_g)
131     if (row >= A->m) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %d max %d",row,A->m-1);
132 #endif
133     rp   = aj + ai[row]; ap = aa + ai[row];
134     rmax = imax[row]; nrow = ailen[row];
135     low = 0;
136     for (l=0; l<n; l++) { /* loop over added columns */
137       if (in[l] < 0) continue;
138 #if defined(PETSC_USE_BOPT_g)
139       if (in[l] >= A->n) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %d max %d",in[l],A->n-1);
140 #endif
141       col = in[l];
142       if (roworiented) {
143         value = v[l + k*n];
144       } else {
145         value = v[k + l*m];
146       }
147       if (value == 0.0 && ignorezeroentries) continue;
148 
149       if (!sorted) low = 0; high = nrow;
150       while (high-low > 5) {
151         t = (low+high)/2;
152         if (rp[t] > col) high = t;
153         else             low  = t;
154       }
155       for (i=low; i<high; i++) {
156         if (rp[i] > col) break;
157         if (rp[i] == col) {
158           if (is == ADD_VALUES) ap[i] += value;
159           else                  ap[i] = value;
160           goto noinsert;
161         }
162       }
163       if (nonew == 1) goto noinsert;
164       else if (nonew == -1) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero at (%d,%d) in the matrix",row,col);
165       if (nrow >= rmax) {
166         /* there is no extra room in row, therefore enlarge */
167         PetscInt         new_nz = ai[A->m] + CHUNKSIZE,*new_i,*new_j;
168         size_t      len;
169         PetscScalar *new_a;
170 
171         if (nonew == -2) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero at (%d,%d) in the matrix requiring new malloc()",row,col);
172 
173         /* malloc new storage space */
174         len     = ((size_t) new_nz)*(sizeof(PetscInt)+sizeof(PetscScalar))+(A->m+1)*sizeof(PetscInt);
175 	ierr    = PetscMalloc(len,&new_a);CHKERRQ(ierr);
176         new_j   = (PetscInt*)(new_a + new_nz);
177         new_i   = new_j + new_nz;
178 
179         /* copy over old data into new slots */
180         for (ii=0; ii<row+1; ii++) {new_i[ii] = ai[ii];}
181         for (ii=row+1; ii<A->m+1; ii++) {new_i[ii] = ai[ii]+CHUNKSIZE;}
182         ierr = PetscMemcpy(new_j,aj,(ai[row]+nrow)*sizeof(PetscInt));CHKERRQ(ierr);
183         len  = (((size_t) new_nz) - CHUNKSIZE - ai[row] - nrow );
184         ierr = PetscMemcpy(new_j+ai[row]+nrow+CHUNKSIZE,aj+ai[row]+nrow,len*sizeof(PetscInt));CHKERRQ(ierr);
185         ierr = PetscMemcpy(new_a,aa,(((size_t) ai[row])+nrow)*sizeof(PetscScalar));CHKERRQ(ierr);
186         ierr = PetscMemcpy(new_a+ai[row]+nrow+CHUNKSIZE,aa+ai[row]+nrow,len*sizeof(PetscScalar));CHKERRQ(ierr);
187         /* free up old matrix storage */
188         ierr = PetscFree(a->a);CHKERRQ(ierr);
189         if (!a->singlemalloc) {
190           ierr = PetscFree(a->i);CHKERRQ(ierr);
191           ierr = PetscFree(a->j);CHKERRQ(ierr);
192         }
193         aa = a->a = new_a; ai = a->i = new_i; aj = a->j = new_j;
194         a->singlemalloc = PETSC_TRUE;
195 
196         rp   = aj + ai[row]; ap = aa + ai[row] ;
197         rmax = imax[row] = imax[row] + CHUNKSIZE;
198         PetscLogObjectMemory(A,CHUNKSIZE*(sizeof(PetscInt) + sizeof(PetscScalar)));
199         a->maxnz += CHUNKSIZE;
200         a->reallocs++;
201       }
202       N = nrow++ - 1; a->nz++;
203       /* shift up all the later entries in this row */
204       for (ii=N; ii>=i; ii--) {
205         rp[ii+1] = rp[ii];
206         ap[ii+1] = ap[ii];
207       }
208       rp[i] = col;
209       ap[i] = value;
210       noinsert:;
211       low = i + 1;
212     }
213     ailen[row] = nrow;
214   }
215   PetscFunctionReturn(0);
216 }
217 
218 #undef __FUNCT__
219 #define __FUNCT__ "MatGetValues_SeqAIJ"
220 PetscErrorCode MatGetValues_SeqAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],PetscScalar v[])
221 {
222   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data;
223   PetscInt          *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
224   PetscInt          *ai = a->i,*ailen = a->ilen;
225   PetscScalar  *ap,*aa = a->a,zero = 0.0;
226 
227   PetscFunctionBegin;
228   for (k=0; k<m; k++) { /* loop over rows */
229     row  = im[k];
230     if (row < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %d",row);
231     if (row >= A->m) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %d max %d",row,A->m-1);
232     rp   = aj + ai[row]; ap = aa + ai[row];
233     nrow = ailen[row];
234     for (l=0; l<n; l++) { /* loop over columns */
235       if (in[l] < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Negative column: %d",in[l]);
236       if (in[l] >= A->n) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %d max %d",in[l],A->n-1);
237       col = in[l] ;
238       high = nrow; low = 0; /* assume unsorted */
239       while (high-low > 5) {
240         t = (low+high)/2;
241         if (rp[t] > col) high = t;
242         else             low  = t;
243       }
244       for (i=low; i<high; i++) {
245         if (rp[i] > col) break;
246         if (rp[i] == col) {
247           *v++ = ap[i];
248           goto finished;
249         }
250       }
251       *v++ = zero;
252       finished:;
253     }
254   }
255   PetscFunctionReturn(0);
256 }
257 
258 
259 #undef __FUNCT__
260 #define __FUNCT__ "MatView_SeqAIJ_Binary"
261 PetscErrorCode MatView_SeqAIJ_Binary(Mat A,PetscViewer viewer)
262 {
263   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
264   PetscErrorCode ierr;
265   PetscInt       i,*col_lens;
266   int            fd;
267 
268   PetscFunctionBegin;
269   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
270   ierr = PetscMalloc((4+A->m)*sizeof(PetscInt),&col_lens);CHKERRQ(ierr);
271   col_lens[0] = MAT_FILE_COOKIE;
272   col_lens[1] = A->m;
273   col_lens[2] = A->n;
274   col_lens[3] = a->nz;
275 
276   /* store lengths of each row and write (including header) to file */
277   for (i=0; i<A->m; i++) {
278     col_lens[4+i] = a->i[i+1] - a->i[i];
279   }
280   ierr = PetscBinaryWrite(fd,col_lens,4+A->m,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
281   ierr = PetscFree(col_lens);CHKERRQ(ierr);
282 
283   /* store column indices (zero start index) */
284   ierr = PetscBinaryWrite(fd,a->j,a->nz,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
285 
286   /* store nonzero values */
287   ierr = PetscBinaryWrite(fd,a->a,a->nz,PETSC_SCALAR,PETSC_FALSE);CHKERRQ(ierr);
288   PetscFunctionReturn(0);
289 }
290 
291 EXTERN PetscErrorCode MatSeqAIJFactorInfo_Matlab(Mat,PetscViewer);
292 
293 #undef __FUNCT__
294 #define __FUNCT__ "MatView_SeqAIJ_ASCII"
295 PetscErrorCode MatView_SeqAIJ_ASCII(Mat A,PetscViewer viewer)
296 {
297   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
298   PetscErrorCode ierr;
299   PetscInt               i,j,m = A->m,shift=0;
300   char              *name;
301   PetscViewerFormat format;
302 
303   PetscFunctionBegin;
304   ierr = PetscObjectGetName((PetscObject)A,&name);CHKERRQ(ierr);
305   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
306   if (format == PETSC_VIEWER_ASCII_INFO_DETAIL || format == PETSC_VIEWER_ASCII_INFO) {
307     if (a->inode.size) {
308       ierr = PetscViewerASCIIPrintf(viewer,"using I-node routines: found %d nodes, limit used is %d\n",a->inode.node_count,a->inode.limit);CHKERRQ(ierr);
309     } else {
310       ierr = PetscViewerASCIIPrintf(viewer,"not using I-node routines\n");CHKERRQ(ierr);
311     }
312   } else if (format == PETSC_VIEWER_ASCII_MATLAB) {
313     PetscInt nofinalvalue = 0;
314     if ((a->i[m] == a->i[m-1]) || (a->j[a->nz-1] != A->n-!shift)) {
315       nofinalvalue = 1;
316     }
317     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
318     ierr = PetscViewerASCIIPrintf(viewer,"%% Size = %d %d \n",m,A->n);CHKERRQ(ierr);
319     ierr = PetscViewerASCIIPrintf(viewer,"%% Nonzeros = %d \n",a->nz);CHKERRQ(ierr);
320     ierr = PetscViewerASCIIPrintf(viewer,"zzz = zeros(%d,3);\n",a->nz+nofinalvalue);CHKERRQ(ierr);
321     ierr = PetscViewerASCIIPrintf(viewer,"zzz = [\n");CHKERRQ(ierr);
322 
323     for (i=0; i<m; i++) {
324       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
325 #if defined(PETSC_USE_COMPLEX)
326         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);
327 #else
328         ierr = PetscViewerASCIIPrintf(viewer,"%d %d  %18.16e\n",i+1,a->j[j]+!shift,a->a[j]);CHKERRQ(ierr);
329 #endif
330       }
331     }
332     if (nofinalvalue) {
333       ierr = PetscViewerASCIIPrintf(viewer,"%d %d  %18.16e\n",m,A->n,0.0);CHKERRQ(ierr);
334     }
335     ierr = PetscViewerASCIIPrintf(viewer,"];\n %s = spconvert(zzz);\n",name);CHKERRQ(ierr);
336     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
337   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
338      PetscFunctionReturn(0);
339   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
340     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
341     for (i=0; i<m; i++) {
342       ierr = PetscViewerASCIIPrintf(viewer,"row %d:",i);CHKERRQ(ierr);
343       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
344 #if defined(PETSC_USE_COMPLEX)
345         if (PetscImaginaryPart(a->a[j]) > 0.0 && PetscRealPart(a->a[j]) != 0.0) {
346           ierr = PetscViewerASCIIPrintf(viewer," (%d, %g + %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
347         } else if (PetscImaginaryPart(a->a[j]) < 0.0 && PetscRealPart(a->a[j]) != 0.0) {
348           ierr = PetscViewerASCIIPrintf(viewer," (%d, %g - %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
349         } else if (PetscRealPart(a->a[j]) != 0.0) {
350           ierr = PetscViewerASCIIPrintf(viewer," (%d, %g) ",a->j[j]+shift,PetscRealPart(a->a[j]));CHKERRQ(ierr);
351         }
352 #else
353         if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," (%d, %g) ",a->j[j]+shift,a->a[j]);CHKERRQ(ierr);}
354 #endif
355       }
356       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
357     }
358     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
359   } else if (format == PETSC_VIEWER_ASCII_SYMMODU) {
360     PetscInt nzd=0,fshift=1,*sptr;
361     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
362     ierr = PetscMalloc((m+1)*sizeof(PetscInt),&sptr);CHKERRQ(ierr);
363     for (i=0; i<m; i++) {
364       sptr[i] = nzd+1;
365       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
366         if (a->j[j] >= i) {
367 #if defined(PETSC_USE_COMPLEX)
368           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) nzd++;
369 #else
370           if (a->a[j] != 0.0) nzd++;
371 #endif
372         }
373       }
374     }
375     sptr[m] = nzd+1;
376     ierr = PetscViewerASCIIPrintf(viewer," %d %d\n\n",m,nzd);CHKERRQ(ierr);
377     for (i=0; i<m+1; i+=6) {
378       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);}
379       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);}
380       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);}
381       else if (i+1<m) {ierr = PetscViewerASCIIPrintf(viewer," %d %d %d\n",sptr[i],sptr[i+1],sptr[i+2]);CHKERRQ(ierr);}
382       else if (i<m)   {ierr = PetscViewerASCIIPrintf(viewer," %d %d\n",sptr[i],sptr[i+1]);CHKERRQ(ierr);}
383       else            {ierr = PetscViewerASCIIPrintf(viewer," %d\n",sptr[i]);CHKERRQ(ierr);}
384     }
385     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
386     ierr = PetscFree(sptr);CHKERRQ(ierr);
387     for (i=0; i<m; i++) {
388       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
389         if (a->j[j] >= i) {ierr = PetscViewerASCIIPrintf(viewer," %d ",a->j[j]+fshift);CHKERRQ(ierr);}
390       }
391       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
392     }
393     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
394     for (i=0; i<m; i++) {
395       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
396         if (a->j[j] >= i) {
397 #if defined(PETSC_USE_COMPLEX)
398           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) {
399             ierr = PetscViewerASCIIPrintf(viewer," %18.16e %18.16e ",PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
400           }
401 #else
402           if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," %18.16e ",a->a[j]);CHKERRQ(ierr);}
403 #endif
404         }
405       }
406       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
407     }
408     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
409   } else if (format == PETSC_VIEWER_ASCII_DENSE) {
410     PetscInt         cnt = 0,jcnt;
411     PetscScalar value;
412 
413     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
414     for (i=0; i<m; i++) {
415       jcnt = 0;
416       for (j=0; j<A->n; j++) {
417         if (jcnt < a->i[i+1]-a->i[i] && j == a->j[cnt]) {
418           value = a->a[cnt++];
419           jcnt++;
420         } else {
421           value = 0.0;
422         }
423 #if defined(PETSC_USE_COMPLEX)
424         ierr = PetscViewerASCIIPrintf(viewer," %7.5e+%7.5e i ",PetscRealPart(value),PetscImaginaryPart(value));CHKERRQ(ierr);
425 #else
426         ierr = PetscViewerASCIIPrintf(viewer," %7.5e ",value);CHKERRQ(ierr);
427 #endif
428       }
429       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
430     }
431     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
432   } else {
433     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
434     for (i=0; i<m; i++) {
435       ierr = PetscViewerASCIIPrintf(viewer,"row %d:",i);CHKERRQ(ierr);
436       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
437 #if defined(PETSC_USE_COMPLEX)
438         if (PetscImaginaryPart(a->a[j]) > 0.0) {
439           ierr = PetscViewerASCIIPrintf(viewer," (%d, %g + %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
440         } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
441           ierr = PetscViewerASCIIPrintf(viewer," (%d, %g - %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
442         } else {
443           ierr = PetscViewerASCIIPrintf(viewer," (%d, %g) ",a->j[j]+shift,PetscRealPart(a->a[j]));CHKERRQ(ierr);
444         }
445 #else
446         ierr = PetscViewerASCIIPrintf(viewer," (%d, %g) ",a->j[j]+shift,a->a[j]);CHKERRQ(ierr);
447 #endif
448       }
449       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
450     }
451     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
452   }
453   ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
454   PetscFunctionReturn(0);
455 }
456 
457 #undef __FUNCT__
458 #define __FUNCT__ "MatView_SeqAIJ_Draw_Zoom"
459 PetscErrorCode MatView_SeqAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
460 {
461   Mat               A = (Mat) Aa;
462   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
463   PetscErrorCode ierr;
464   PetscInt               i,j,m = A->m,color;
465   PetscReal         xl,yl,xr,yr,x_l,x_r,y_l,y_r,maxv = 0.0;
466   PetscViewer       viewer;
467   PetscViewerFormat format;
468 
469   PetscFunctionBegin;
470   ierr = PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer);CHKERRQ(ierr);
471   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
472 
473   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
474   /* loop over matrix elements drawing boxes */
475 
476   if (format != PETSC_VIEWER_DRAW_CONTOUR) {
477     /* Blue for negative, Cyan for zero and  Red for positive */
478     color = PETSC_DRAW_BLUE;
479     for (i=0; i<m; i++) {
480       y_l = m - i - 1.0; y_r = y_l + 1.0;
481       for (j=a->i[i]; j<a->i[i+1]; j++) {
482         x_l = a->j[j] ; x_r = x_l + 1.0;
483 #if defined(PETSC_USE_COMPLEX)
484         if (PetscRealPart(a->a[j]) >=  0.) continue;
485 #else
486         if (a->a[j] >=  0.) continue;
487 #endif
488         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
489       }
490     }
491     color = PETSC_DRAW_CYAN;
492     for (i=0; i<m; i++) {
493       y_l = m - i - 1.0; y_r = y_l + 1.0;
494       for (j=a->i[i]; j<a->i[i+1]; j++) {
495         x_l = a->j[j]; x_r = x_l + 1.0;
496         if (a->a[j] !=  0.) continue;
497         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
498       }
499     }
500     color = PETSC_DRAW_RED;
501     for (i=0; i<m; i++) {
502       y_l = m - i - 1.0; y_r = y_l + 1.0;
503       for (j=a->i[i]; j<a->i[i+1]; j++) {
504         x_l = a->j[j]; x_r = x_l + 1.0;
505 #if defined(PETSC_USE_COMPLEX)
506         if (PetscRealPart(a->a[j]) <=  0.) continue;
507 #else
508         if (a->a[j] <=  0.) continue;
509 #endif
510         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
511       }
512     }
513   } else {
514     /* use contour shading to indicate magnitude of values */
515     /* first determine max of all nonzero values */
516     PetscInt    nz = a->nz,count;
517     PetscDraw   popup;
518     PetscReal scale;
519 
520     for (i=0; i<nz; i++) {
521       if (PetscAbsScalar(a->a[i]) > maxv) maxv = PetscAbsScalar(a->a[i]);
522     }
523     scale = (245.0 - PETSC_DRAW_BASIC_COLORS)/maxv;
524     ierr  = PetscDrawGetPopup(draw,&popup);CHKERRQ(ierr);
525     if (popup) {ierr  = PetscDrawScalePopup(popup,0.0,maxv);CHKERRQ(ierr);}
526     count = 0;
527     for (i=0; i<m; i++) {
528       y_l = m - i - 1.0; y_r = y_l + 1.0;
529       for (j=a->i[i]; j<a->i[i+1]; j++) {
530         x_l = a->j[j]; x_r = x_l + 1.0;
531         color = PETSC_DRAW_BASIC_COLORS + (PetscInt)(scale*PetscAbsScalar(a->a[count]));
532         ierr  = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
533         count++;
534       }
535     }
536   }
537   PetscFunctionReturn(0);
538 }
539 
540 #undef __FUNCT__
541 #define __FUNCT__ "MatView_SeqAIJ_Draw"
542 PetscErrorCode MatView_SeqAIJ_Draw(Mat A,PetscViewer viewer)
543 {
544   PetscErrorCode ierr;
545   PetscDraw  draw;
546   PetscReal  xr,yr,xl,yl,h,w;
547   PetscTruth isnull;
548 
549   PetscFunctionBegin;
550   ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
551   ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr);
552   if (isnull) PetscFunctionReturn(0);
553 
554   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer);CHKERRQ(ierr);
555   xr  = A->n; yr = A->m; h = yr/10.0; w = xr/10.0;
556   xr += w;    yr += h;  xl = -w;     yl = -h;
557   ierr = PetscDrawSetCoordinates(draw,xl,yl,xr,yr);CHKERRQ(ierr);
558   ierr = PetscDrawZoom(draw,MatView_SeqAIJ_Draw_Zoom,A);CHKERRQ(ierr);
559   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",PETSC_NULL);CHKERRQ(ierr);
560   PetscFunctionReturn(0);
561 }
562 
563 #undef __FUNCT__
564 #define __FUNCT__ "MatView_SeqAIJ"
565 PetscErrorCode MatView_SeqAIJ(Mat A,PetscViewer viewer)
566 {
567   Mat_SeqAIJ  *a = (Mat_SeqAIJ*)A->data;
568   PetscErrorCode ierr;
569   PetscTruth  issocket,iascii,isbinary,isdraw;
570 
571   PetscFunctionBegin;
572   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_SOCKET,&issocket);CHKERRQ(ierr);
573   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&iascii);CHKERRQ(ierr);
574   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_BINARY,&isbinary);CHKERRQ(ierr);
575   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_DRAW,&isdraw);CHKERRQ(ierr);
576   if (issocket) {
577     ierr = PetscViewerSocketPutSparse_Private(viewer,A->m,A->n,a->nz,a->a,a->i,a->j);CHKERRQ(ierr);
578   } else if (iascii) {
579     ierr = MatView_SeqAIJ_ASCII(A,viewer);CHKERRQ(ierr);
580   } else if (isbinary) {
581     ierr = MatView_SeqAIJ_Binary(A,viewer);CHKERRQ(ierr);
582   } else if (isdraw) {
583     ierr = MatView_SeqAIJ_Draw(A,viewer);CHKERRQ(ierr);
584   } else {
585     SETERRQ1(PETSC_ERR_SUP,"Viewer type %s not supported by SeqAIJ matrices",((PetscObject)viewer)->type_name);
586   }
587   PetscFunctionReturn(0);
588 }
589 
590 #undef __FUNCT__
591 #define __FUNCT__ "MatAssemblyEnd_SeqAIJ"
592 PetscErrorCode MatAssemblyEnd_SeqAIJ(Mat A,MatAssemblyType mode)
593 {
594   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data;
595   PetscErrorCode ierr;
596   PetscInt          fshift = 0,i,j,*ai = a->i,*aj = a->j,*imax = a->imax;
597   PetscInt          m = A->m,*ip,N,*ailen = a->ilen,rmax = 0;
598   PetscScalar  *aa = a->a,*ap;
599 
600   PetscFunctionBegin;
601   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
602 
603   if (m) rmax = ailen[0]; /* determine row with most nonzeros */
604   for (i=1; i<m; i++) {
605     /* move each row back by the amount of empty slots (fshift) before it*/
606     fshift += imax[i-1] - ailen[i-1];
607     rmax   = PetscMax(rmax,ailen[i]);
608     if (fshift) {
609       ip = aj + ai[i] ;
610       ap = aa + ai[i] ;
611       N  = ailen[i];
612       for (j=0; j<N; j++) {
613         ip[j-fshift] = ip[j];
614         ap[j-fshift] = ap[j];
615       }
616     }
617     ai[i] = ai[i-1] + ailen[i-1];
618   }
619   if (m) {
620     fshift += imax[m-1] - ailen[m-1];
621     ai[m]  = ai[m-1] + ailen[m-1];
622   }
623   /* reset ilen and imax for each row */
624   for (i=0; i<m; i++) {
625     ailen[i] = imax[i] = ai[i+1] - ai[i];
626   }
627   a->nz = ai[m];
628 
629   /* diagonals may have moved, so kill the diagonal pointers */
630   if (fshift && a->diag) {
631     ierr = PetscFree(a->diag);CHKERRQ(ierr);
632     PetscLogObjectMemory(A,-(m+1)*sizeof(PetscInt));
633     a->diag = 0;
634   }
635   PetscLogInfo(A,"MatAssemblyEnd_SeqAIJ:Matrix size: %d X %d; storage space: %d unneeded,%d used\n",m,A->n,fshift,a->nz);
636   PetscLogInfo(A,"MatAssemblyEnd_SeqAIJ:Number of mallocs during MatSetValues() is %d\n",a->reallocs);
637   PetscLogInfo(A,"MatAssemblyEnd_SeqAIJ:Most nonzeros in any row is %d\n",rmax);
638   a->reallocs          = 0;
639   A->info.nz_unneeded  = (double)fshift;
640   a->rmax              = rmax;
641 
642   /* check out for identical nodes. If found, use inode functions */
643   ierr = Mat_AIJ_CheckInode(A,(PetscTruth)(!fshift));CHKERRQ(ierr);
644 
645   PetscFunctionReturn(0);
646 }
647 
648 #undef __FUNCT__
649 #define __FUNCT__ "MatZeroEntries_SeqAIJ"
650 PetscErrorCode MatZeroEntries_SeqAIJ(Mat A)
651 {
652   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
653   PetscErrorCode ierr;
654 
655   PetscFunctionBegin;
656   ierr = PetscMemzero(a->a,(a->i[A->m])*sizeof(PetscScalar));CHKERRQ(ierr);
657   PetscFunctionReturn(0);
658 }
659 
660 #undef __FUNCT__
661 #define __FUNCT__ "MatDestroy_SeqAIJ"
662 PetscErrorCode MatDestroy_SeqAIJ(Mat A)
663 {
664   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
665   PetscErrorCode ierr;
666 
667   PetscFunctionBegin;
668 #if defined(PETSC_USE_LOG)
669   PetscLogObjectState((PetscObject)A,"Rows=%d, Cols=%d, NZ=%d",A->m,A->n,a->nz);
670 #endif
671   if (a->freedata) {
672     ierr = PetscFree(a->a);CHKERRQ(ierr);
673     if (!a->singlemalloc) {
674       ierr = PetscFree(a->i);CHKERRQ(ierr);
675       ierr = PetscFree(a->j);CHKERRQ(ierr);
676     }
677   }
678   if (a->row) {
679     ierr = ISDestroy(a->row);CHKERRQ(ierr);
680   }
681   if (a->col) {
682     ierr = ISDestroy(a->col);CHKERRQ(ierr);
683   }
684   if (a->diag) {ierr = PetscFree(a->diag);CHKERRQ(ierr);}
685   if (a->ilen) {ierr = PetscFree(a->ilen);CHKERRQ(ierr);}
686   if (a->imax) {ierr = PetscFree(a->imax);CHKERRQ(ierr);}
687   if (a->idiag) {ierr = PetscFree(a->idiag);CHKERRQ(ierr);}
688   if (a->solve_work) {ierr = PetscFree(a->solve_work);CHKERRQ(ierr);}
689   if (a->inode.size) {ierr = PetscFree(a->inode.size);CHKERRQ(ierr);}
690   if (a->icol) {ierr = ISDestroy(a->icol);CHKERRQ(ierr);}
691   if (a->saved_values) {ierr = PetscFree(a->saved_values);CHKERRQ(ierr);}
692   if (a->coloring) {ierr = ISColoringDestroy(a->coloring);CHKERRQ(ierr);}
693   if (a->xtoy) {ierr = PetscFree(a->xtoy);CHKERRQ(ierr);}
694 
695   ierr = PetscFree(a);CHKERRQ(ierr);
696 
697   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatSeqAIJSetColumnIndices_C","",PETSC_NULL);CHKERRQ(ierr);
698   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatStoreValues_C","",PETSC_NULL);CHKERRQ(ierr);
699   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatRetrieveValues_C","",PETSC_NULL);CHKERRQ(ierr);
700   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatConvert_seqaij_seqsbaij_C","",PETSC_NULL);CHKERRQ(ierr);
701   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatConvert_seqaij_seqbaij_C","",PETSC_NULL);CHKERRQ(ierr);
702   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatIsTranspose_C","",PETSC_NULL);CHKERRQ(ierr);
703   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatSeqAIJSetPreallocation_C","",PETSC_NULL);CHKERRQ(ierr);
704   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatReorderForNonzeroDiagonal_C","",PETSC_NULL);CHKERRQ(ierr);
705   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatAdjustForInodes_C","",PETSC_NULL);CHKERRQ(ierr);
706   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatSeqAIJGetInodeSizes_C","",PETSC_NULL);CHKERRQ(ierr);
707   PetscFunctionReturn(0);
708 }
709 
710 #undef __FUNCT__
711 #define __FUNCT__ "MatCompress_SeqAIJ"
712 PetscErrorCode MatCompress_SeqAIJ(Mat A)
713 {
714   PetscFunctionBegin;
715   PetscFunctionReturn(0);
716 }
717 
718 #undef __FUNCT__
719 #define __FUNCT__ "MatSetOption_SeqAIJ"
720 PetscErrorCode MatSetOption_SeqAIJ(Mat A,MatOption op)
721 {
722   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
723 
724   PetscFunctionBegin;
725   switch (op) {
726     case MAT_ROW_ORIENTED:
727       a->roworiented       = PETSC_TRUE;
728       break;
729     case MAT_KEEP_ZEROED_ROWS:
730       a->keepzeroedrows    = PETSC_TRUE;
731       break;
732     case MAT_COLUMN_ORIENTED:
733       a->roworiented       = PETSC_FALSE;
734       break;
735     case MAT_COLUMNS_SORTED:
736       a->sorted            = PETSC_TRUE;
737       break;
738     case MAT_COLUMNS_UNSORTED:
739       a->sorted            = PETSC_FALSE;
740       break;
741     case MAT_NO_NEW_NONZERO_LOCATIONS:
742       a->nonew             = 1;
743       break;
744     case MAT_NEW_NONZERO_LOCATION_ERR:
745       a->nonew             = -1;
746       break;
747     case MAT_NEW_NONZERO_ALLOCATION_ERR:
748       a->nonew             = -2;
749       break;
750     case MAT_YES_NEW_NONZERO_LOCATIONS:
751       a->nonew             = 0;
752       break;
753     case MAT_IGNORE_ZERO_ENTRIES:
754       a->ignorezeroentries = PETSC_TRUE;
755       break;
756     case MAT_USE_INODES:
757       a->inode.use         = PETSC_TRUE;
758       break;
759     case MAT_DO_NOT_USE_INODES:
760       a->inode.use         = PETSC_FALSE;
761       break;
762     case MAT_ROWS_SORTED:
763     case MAT_ROWS_UNSORTED:
764     case MAT_YES_NEW_DIAGONALS:
765     case MAT_IGNORE_OFF_PROC_ENTRIES:
766     case MAT_USE_HASH_TABLE:
767       PetscLogInfo(A,"MatSetOption_SeqAIJ:Option ignored\n");
768       break;
769     case MAT_NO_NEW_DIAGONALS:
770       SETERRQ(PETSC_ERR_SUP,"MAT_NO_NEW_DIAGONALS");
771     case MAT_INODE_LIMIT_1:
772       a->inode.limit  = 1;
773       break;
774     case MAT_INODE_LIMIT_2:
775       a->inode.limit  = 2;
776       break;
777     case MAT_INODE_LIMIT_3:
778       a->inode.limit  = 3;
779       break;
780     case MAT_INODE_LIMIT_4:
781       a->inode.limit  = 4;
782       break;
783     case MAT_INODE_LIMIT_5:
784       a->inode.limit  = 5;
785       break;
786     case MAT_SYMMETRIC:
787     case MAT_STRUCTURALLY_SYMMETRIC:
788     case MAT_NOT_SYMMETRIC:
789     case MAT_NOT_STRUCTURALLY_SYMMETRIC:
790     case MAT_HERMITIAN:
791     case MAT_NOT_HERMITIAN:
792     case MAT_SYMMETRY_ETERNAL:
793     case MAT_NOT_SYMMETRY_ETERNAL:
794       break;
795     default:
796       SETERRQ(PETSC_ERR_SUP,"unknown option");
797   }
798   PetscFunctionReturn(0);
799 }
800 
801 #undef __FUNCT__
802 #define __FUNCT__ "MatGetDiagonal_SeqAIJ"
803 PetscErrorCode MatGetDiagonal_SeqAIJ(Mat A,Vec v)
804 {
805   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data;
806   PetscErrorCode ierr;
807   PetscInt          i,j,n;
808   PetscScalar  *x,zero = 0.0;
809 
810   PetscFunctionBegin;
811   ierr = VecSet(&zero,v);CHKERRQ(ierr);
812   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
813   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
814   if (n != A->m) SETERRQ(PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
815   for (i=0; i<A->m; i++) {
816     for (j=a->i[i]; j<a->i[i+1]; j++) {
817       if (a->j[j] == i) {
818         x[i] = a->a[j];
819         break;
820       }
821     }
822   }
823   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
824   PetscFunctionReturn(0);
825 }
826 
827 
828 #undef __FUNCT__
829 #define __FUNCT__ "MatMultTransposeAdd_SeqAIJ"
830 PetscErrorCode MatMultTransposeAdd_SeqAIJ(Mat A,Vec xx,Vec zz,Vec yy)
831 {
832   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data;
833   PetscScalar  *x,*y;
834   PetscErrorCode ierr;
835   PetscInt          m = A->m;
836 #if !defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
837   PetscScalar  *v,alpha;
838   PetscInt          n,i,*idx;
839 #endif
840 
841   PetscFunctionBegin;
842   if (zz != yy) {ierr = VecCopy(zz,yy);CHKERRQ(ierr);}
843   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
844   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
845 
846 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
847   fortranmulttransposeaddaij_(&m,x,a->i,a->j,a->a,y);
848 #else
849   for (i=0; i<m; i++) {
850     idx   = a->j + a->i[i] ;
851     v     = a->a + a->i[i] ;
852     n     = a->i[i+1] - a->i[i];
853     alpha = x[i];
854     while (n-->0) {y[*idx++] += alpha * *v++;}
855   }
856 #endif
857   PetscLogFlops(2*a->nz);
858   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
859   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
860   PetscFunctionReturn(0);
861 }
862 
863 #undef __FUNCT__
864 #define __FUNCT__ "MatMultTranspose_SeqAIJ"
865 PetscErrorCode MatMultTranspose_SeqAIJ(Mat A,Vec xx,Vec yy)
866 {
867   PetscScalar  zero = 0.0;
868   PetscErrorCode ierr;
869 
870   PetscFunctionBegin;
871   ierr = VecSet(&zero,yy);CHKERRQ(ierr);
872   ierr = MatMultTransposeAdd_SeqAIJ(A,xx,yy,yy);CHKERRQ(ierr);
873   PetscFunctionReturn(0);
874 }
875 
876 
877 #undef __FUNCT__
878 #define __FUNCT__ "MatMult_SeqAIJ"
879 PetscErrorCode MatMult_SeqAIJ(Mat A,Vec xx,Vec yy)
880 {
881   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data;
882   PetscScalar  *x,*y,*v;
883   PetscErrorCode ierr;
884   PetscInt          m = A->m,*idx,*ii;
885 #if !defined(PETSC_USE_FORTRAN_KERNEL_MULTAIJ)
886   PetscInt          n,i,jrow,j;
887   PetscScalar  sum;
888 #endif
889 
890 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
891 #pragma disjoint(*x,*y,*v)
892 #endif
893 
894   PetscFunctionBegin;
895   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
896   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
897   idx  = a->j;
898   v    = a->a;
899   ii   = a->i;
900 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTAIJ)
901   fortranmultaij_(&m,x,ii,idx,v,y);
902 #else
903   for (i=0; i<m; i++) {
904     jrow = ii[i];
905     n    = ii[i+1] - jrow;
906     sum  = 0.0;
907     for (j=0; j<n; j++) {
908       sum += v[jrow]*x[idx[jrow]]; jrow++;
909      }
910     y[i] = sum;
911   }
912 #endif
913   PetscLogFlops(2*a->nz - m);
914   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
915   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
916   PetscFunctionReturn(0);
917 }
918 
919 #undef __FUNCT__
920 #define __FUNCT__ "MatMultAdd_SeqAIJ"
921 PetscErrorCode MatMultAdd_SeqAIJ(Mat A,Vec xx,Vec yy,Vec zz)
922 {
923   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data;
924   PetscScalar  *x,*y,*z,*v;
925   PetscErrorCode ierr;
926   PetscInt          m = A->m,*idx,*ii;
927 #if !defined(PETSC_USE_FORTRAN_KERNEL_MULTADDAIJ)
928   PetscInt          n,i,jrow,j;
929 PetscScalar    sum;
930 #endif
931 
932   PetscFunctionBegin;
933   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
934   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
935   if (zz != yy) {
936     ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
937   } else {
938     z = y;
939   }
940 
941   idx  = a->j;
942   v    = a->a;
943   ii   = a->i;
944 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTADDAIJ)
945   fortranmultaddaij_(&m,x,ii,idx,v,y,z);
946 #else
947   for (i=0; i<m; i++) {
948     jrow = ii[i];
949     n    = ii[i+1] - jrow;
950     sum  = y[i];
951     for (j=0; j<n; j++) {
952       sum += v[jrow]*x[idx[jrow]]; jrow++;
953      }
954     z[i] = sum;
955   }
956 #endif
957   PetscLogFlops(2*a->nz);
958   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
959   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
960   if (zz != yy) {
961     ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
962   }
963   PetscFunctionReturn(0);
964 }
965 
966 /*
967      Adds diagonal pointers to sparse matrix structure.
968 */
969 #undef __FUNCT__
970 #define __FUNCT__ "MatMarkDiagonal_SeqAIJ"
971 PetscErrorCode MatMarkDiagonal_SeqAIJ(Mat A)
972 {
973   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
974   PetscErrorCode ierr;
975   PetscInt        i,j,*diag,m = A->m;
976 
977   PetscFunctionBegin;
978   if (a->diag) PetscFunctionReturn(0);
979 
980   ierr = PetscMalloc((m+1)*sizeof(PetscInt),&diag);CHKERRQ(ierr);
981   PetscLogObjectMemory(A,(m+1)*sizeof(PetscInt));
982   for (i=0; i<A->m; i++) {
983     diag[i] = a->i[i+1];
984     for (j=a->i[i]; j<a->i[i+1]; j++) {
985       if (a->j[j] == i) {
986         diag[i] = j;
987         break;
988       }
989     }
990   }
991   a->diag = diag;
992   PetscFunctionReturn(0);
993 }
994 
995 /*
996      Checks for missing diagonals
997 */
998 #undef __FUNCT__
999 #define __FUNCT__ "MatMissingDiagonal_SeqAIJ"
1000 PetscErrorCode MatMissingDiagonal_SeqAIJ(Mat A)
1001 {
1002   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1003   PetscErrorCode ierr;
1004   PetscInt        *diag,*jj = a->j,i;
1005 
1006   PetscFunctionBegin;
1007   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1008   diag = a->diag;
1009   for (i=0; i<A->m; i++) {
1010     if (jj[diag[i]] != i) {
1011       SETERRQ1(PETSC_ERR_PLIB,"Matrix is missing diagonal number %d",i);
1012     }
1013   }
1014   PetscFunctionReturn(0);
1015 }
1016 
1017 #undef __FUNCT__
1018 #define __FUNCT__ "MatRelax_SeqAIJ"
1019 PetscErrorCode MatRelax_SeqAIJ(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
1020 {
1021   Mat_SeqAIJ         *a = (Mat_SeqAIJ*)A->data;
1022   PetscScalar        *x,d,*xs,sum,*t,scale,*idiag=0,*mdiag;
1023   const PetscScalar  *v = a->a, *b, *bs,*xb, *ts;
1024   PetscErrorCode ierr;
1025   PetscInt                n = A->n,m = A->m,i;
1026   const PetscInt          *idx,*diag;
1027 
1028   PetscFunctionBegin;
1029   its = its*lits;
1030   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %d and local its %d both positive",its,lits);
1031 
1032   if (!a->diag) {ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);}
1033   diag = a->diag;
1034   if (!a->idiag) {
1035     ierr     = PetscMalloc(3*m*sizeof(PetscScalar),&a->idiag);CHKERRQ(ierr);
1036     a->ssor  = a->idiag + m;
1037     mdiag    = a->ssor + m;
1038 
1039     v        = a->a;
1040 
1041     /* this is wrong when fshift omega changes each iteration */
1042     if (omega == 1.0 && !fshift) {
1043       for (i=0; i<m; i++) {
1044         mdiag[i]    = v[diag[i]];
1045         a->idiag[i] = 1.0/v[diag[i]];
1046       }
1047       PetscLogFlops(m);
1048     } else {
1049       for (i=0; i<m; i++) {
1050         mdiag[i]    = v[diag[i]];
1051         a->idiag[i] = omega/(fshift + v[diag[i]]);
1052       }
1053       PetscLogFlops(2*m);
1054     }
1055   }
1056   t     = a->ssor;
1057   idiag = a->idiag;
1058   mdiag = a->idiag + 2*m;
1059 
1060   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1061   if (xx != bb) {
1062     ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
1063   } else {
1064     b = x;
1065   }
1066 
1067   /* We count flops by assuming the upper triangular and lower triangular parts have the same number of nonzeros */
1068   xs   = x;
1069   if (flag == SOR_APPLY_UPPER) {
1070    /* apply (U + D/omega) to the vector */
1071     bs = b;
1072     for (i=0; i<m; i++) {
1073         d    = fshift + a->a[diag[i]];
1074         n    = a->i[i+1] - diag[i] - 1;
1075         idx  = a->j + diag[i] + 1;
1076         v    = a->a + diag[i] + 1;
1077         sum  = b[i]*d/omega;
1078         SPARSEDENSEDOT(sum,bs,v,idx,n);
1079         x[i] = sum;
1080     }
1081     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1082     if (bb != xx) {ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);}
1083     PetscLogFlops(a->nz);
1084     PetscFunctionReturn(0);
1085   }
1086 
1087 
1088     /* Let  A = L + U + D; where L is lower trianglar,
1089     U is upper triangular, E is diagonal; This routine applies
1090 
1091             (L + E)^{-1} A (U + E)^{-1}
1092 
1093     to a vector efficiently using Eisenstat's trick. This is for
1094     the case of SSOR preconditioner, so E is D/omega where omega
1095     is the relaxation factor.
1096     */
1097 
1098   if (flag == SOR_APPLY_LOWER) {
1099     SETERRQ(PETSC_ERR_SUP,"SOR_APPLY_LOWER is not implemented");
1100   } else if (flag & SOR_EISENSTAT) {
1101     /* Let  A = L + U + D; where L is lower trianglar,
1102     U is upper triangular, E is diagonal; This routine applies
1103 
1104             (L + E)^{-1} A (U + E)^{-1}
1105 
1106     to a vector efficiently using Eisenstat's trick. This is for
1107     the case of SSOR preconditioner, so E is D/omega where omega
1108     is the relaxation factor.
1109     */
1110     scale = (2.0/omega) - 1.0;
1111 
1112     /*  x = (E + U)^{-1} b */
1113     for (i=m-1; i>=0; i--) {
1114       n    = a->i[i+1] - diag[i] - 1;
1115       idx  = a->j + diag[i] + 1;
1116       v    = a->a + diag[i] + 1;
1117       sum  = b[i];
1118       SPARSEDENSEMDOT(sum,xs,v,idx,n);
1119       x[i] = sum*idiag[i];
1120     }
1121 
1122     /*  t = b - (2*E - D)x */
1123     v = a->a;
1124     for (i=0; i<m; i++) { t[i] = b[i] - scale*(v[*diag++])*x[i]; }
1125 
1126     /*  t = (E + L)^{-1}t */
1127     ts = t;
1128     diag = a->diag;
1129     for (i=0; i<m; i++) {
1130       n    = diag[i] - a->i[i];
1131       idx  = a->j + a->i[i];
1132       v    = a->a + a->i[i];
1133       sum  = t[i];
1134       SPARSEDENSEMDOT(sum,ts,v,idx,n);
1135       t[i] = sum*idiag[i];
1136       /*  x = x + t */
1137       x[i] += t[i];
1138     }
1139 
1140     PetscLogFlops(6*m-1 + 2*a->nz);
1141     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1142     if (bb != xx) {ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);}
1143     PetscFunctionReturn(0);
1144   }
1145   if (flag & SOR_ZERO_INITIAL_GUESS) {
1146     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
1147 #if defined(PETSC_USE_FORTRAN_KERNEL_RELAXAIJ)
1148       fortranrelaxaijforwardzero_(&m,&omega,x,a->i,a->j,(PetscInt*)diag,idiag,a->a,(void*)b);
1149 #else
1150       for (i=0; i<m; i++) {
1151         n    = diag[i] - a->i[i];
1152         idx  = a->j + a->i[i];
1153         v    = a->a + a->i[i];
1154         sum  = b[i];
1155         SPARSEDENSEMDOT(sum,xs,v,idx,n);
1156         x[i] = sum*idiag[i];
1157       }
1158 #endif
1159       xb = x;
1160       PetscLogFlops(a->nz);
1161     } else xb = b;
1162     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
1163         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
1164       for (i=0; i<m; i++) {
1165         x[i] *= mdiag[i];
1166       }
1167       PetscLogFlops(m);
1168     }
1169     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
1170 #if defined(PETSC_USE_FORTRAN_KERNEL_RELAXAIJ)
1171       fortranrelaxaijbackwardzero_(&m,&omega,x,a->i,a->j,(PetscInt*)diag,idiag,a->a,(void*)xb);
1172 #else
1173       for (i=m-1; i>=0; i--) {
1174         n    = a->i[i+1] - diag[i] - 1;
1175         idx  = a->j + diag[i] + 1;
1176         v    = a->a + diag[i] + 1;
1177         sum  = xb[i];
1178         SPARSEDENSEMDOT(sum,xs,v,idx,n);
1179         x[i] = sum*idiag[i];
1180       }
1181 #endif
1182       PetscLogFlops(a->nz);
1183     }
1184     its--;
1185   }
1186   while (its--) {
1187     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
1188 #if defined(PETSC_USE_FORTRAN_KERNEL_RELAXAIJ)
1189       fortranrelaxaijforward_(&m,&omega,x,a->i,a->j,(PetscInt*)diag,a->a,(void*)b);
1190 #else
1191       for (i=0; i<m; i++) {
1192         d    = fshift + a->a[diag[i]];
1193         n    = a->i[i+1] - a->i[i];
1194         idx  = a->j + a->i[i];
1195         v    = a->a + a->i[i];
1196         sum  = b[i];
1197         SPARSEDENSEMDOT(sum,xs,v,idx,n);
1198         x[i] = (1. - omega)*x[i] + (sum + mdiag[i]*x[i])*idiag[i];
1199       }
1200 #endif
1201       PetscLogFlops(a->nz);
1202     }
1203     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
1204 #if defined(PETSC_USE_FORTRAN_KERNEL_RELAXAIJ)
1205       fortranrelaxaijbackward_(&m,&omega,x,a->i,a->j,(PetscInt*)diag,a->a,(void*)b);
1206 #else
1207       for (i=m-1; i>=0; i--) {
1208         d    = fshift + a->a[diag[i]];
1209         n    = a->i[i+1] - a->i[i];
1210         idx  = a->j + a->i[i];
1211         v    = a->a + a->i[i];
1212         sum  = b[i];
1213         SPARSEDENSEMDOT(sum,xs,v,idx,n);
1214         x[i] = (1. - omega)*x[i] + (sum + mdiag[i]*x[i])*idiag[i];
1215       }
1216 #endif
1217       PetscLogFlops(a->nz);
1218     }
1219   }
1220   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1221   if (bb != xx) {ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);}
1222   PetscFunctionReturn(0);
1223 }
1224 
1225 #undef __FUNCT__
1226 #define __FUNCT__ "MatGetInfo_SeqAIJ"
1227 PetscErrorCode MatGetInfo_SeqAIJ(Mat A,MatInfoType flag,MatInfo *info)
1228 {
1229   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1230 
1231   PetscFunctionBegin;
1232   info->rows_global    = (double)A->m;
1233   info->columns_global = (double)A->n;
1234   info->rows_local     = (double)A->m;
1235   info->columns_local  = (double)A->n;
1236   info->block_size     = 1.0;
1237   info->nz_allocated   = (double)a->maxnz;
1238   info->nz_used        = (double)a->nz;
1239   info->nz_unneeded    = (double)(a->maxnz - a->nz);
1240   info->assemblies     = (double)A->num_ass;
1241   info->mallocs        = (double)a->reallocs;
1242   info->memory         = A->mem;
1243   if (A->factor) {
1244     info->fill_ratio_given  = A->info.fill_ratio_given;
1245     info->fill_ratio_needed = A->info.fill_ratio_needed;
1246     info->factor_mallocs    = A->info.factor_mallocs;
1247   } else {
1248     info->fill_ratio_given  = 0;
1249     info->fill_ratio_needed = 0;
1250     info->factor_mallocs    = 0;
1251   }
1252   PetscFunctionReturn(0);
1253 }
1254 
1255 #undef __FUNCT__
1256 #define __FUNCT__ "MatZeroRows_SeqAIJ"
1257 PetscErrorCode MatZeroRows_SeqAIJ(Mat A,IS is,const PetscScalar *diag)
1258 {
1259   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1260   PetscErrorCode ierr;
1261   PetscInt         i,N,*rows,m = A->m - 1;
1262 
1263   PetscFunctionBegin;
1264   ierr = ISGetLocalSize(is,&N);CHKERRQ(ierr);
1265   ierr = ISGetIndices(is,&rows);CHKERRQ(ierr);
1266   if (a->keepzeroedrows) {
1267     for (i=0; i<N; i++) {
1268       if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"row %d out of range", rows[i]);
1269       ierr = PetscMemzero(&a->a[a->i[rows[i]]],a->ilen[rows[i]]*sizeof(PetscScalar));CHKERRQ(ierr);
1270     }
1271     if (diag) {
1272       ierr = MatMissingDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1273       ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1274       for (i=0; i<N; i++) {
1275         a->a[a->diag[rows[i]]] = *diag;
1276       }
1277     }
1278   } else {
1279     if (diag) {
1280       for (i=0; i<N; i++) {
1281         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"row %d out of range", rows[i]);
1282         if (a->ilen[rows[i]] > 0) {
1283           a->ilen[rows[i]]          = 1;
1284           a->a[a->i[rows[i]]] = *diag;
1285           a->j[a->i[rows[i]]] = rows[i];
1286         } else { /* in case row was completely empty */
1287           ierr = MatSetValues_SeqAIJ(A,1,&rows[i],1,&rows[i],diag,INSERT_VALUES);CHKERRQ(ierr);
1288         }
1289       }
1290     } else {
1291       for (i=0; i<N; i++) {
1292         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"row %d out of range", rows[i]);
1293         a->ilen[rows[i]] = 0;
1294       }
1295     }
1296   }
1297   ierr = ISRestoreIndices(is,&rows);CHKERRQ(ierr);
1298   ierr = MatAssemblyEnd_SeqAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1299   PetscFunctionReturn(0);
1300 }
1301 
1302 #undef __FUNCT__
1303 #define __FUNCT__ "MatGetRow_SeqAIJ"
1304 PetscErrorCode MatGetRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1305 {
1306   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1307   PetscInt        *itmp;
1308 
1309   PetscFunctionBegin;
1310   if (row < 0 || row >= A->m) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Row %d out of range",row);
1311 
1312   *nz = a->i[row+1] - a->i[row];
1313   if (v) *v = a->a + a->i[row];
1314   if (idx) {
1315     itmp = a->j + a->i[row];
1316     if (*nz) {
1317       *idx = itmp;
1318     }
1319     else *idx = 0;
1320   }
1321   PetscFunctionReturn(0);
1322 }
1323 
1324 /* remove this function? */
1325 #undef __FUNCT__
1326 #define __FUNCT__ "MatRestoreRow_SeqAIJ"
1327 PetscErrorCode MatRestoreRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1328 {
1329   /* Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1330      PetscErrorCode ierr; */
1331 
1332   PetscFunctionBegin;
1333   /* if (idx) {if (*idx && a->indexshift) {ierr = PetscFree(*idx);CHKERRQ(ierr);}} */
1334   PetscFunctionReturn(0);
1335 }
1336 
1337 #undef __FUNCT__
1338 #define __FUNCT__ "MatNorm_SeqAIJ"
1339 PetscErrorCode MatNorm_SeqAIJ(Mat A,NormType type,PetscReal *nrm)
1340 {
1341   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data;
1342   PetscScalar  *v = a->a;
1343   PetscReal    sum = 0.0;
1344   PetscErrorCode ierr;
1345   PetscInt          i,j;
1346 
1347   PetscFunctionBegin;
1348   if (type == NORM_FROBENIUS) {
1349     for (i=0; i<a->nz; i++) {
1350 #if defined(PETSC_USE_COMPLEX)
1351       sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
1352 #else
1353       sum += (*v)*(*v); v++;
1354 #endif
1355     }
1356     *nrm = sqrt(sum);
1357   } else if (type == NORM_1) {
1358     PetscReal *tmp;
1359     PetscInt    *jj = a->j;
1360     ierr = PetscMalloc((A->n+1)*sizeof(PetscReal),&tmp);CHKERRQ(ierr);
1361     ierr = PetscMemzero(tmp,A->n*sizeof(PetscReal));CHKERRQ(ierr);
1362     *nrm = 0.0;
1363     for (j=0; j<a->nz; j++) {
1364         tmp[*jj++] += PetscAbsScalar(*v);  v++;
1365     }
1366     for (j=0; j<A->n; j++) {
1367       if (tmp[j] > *nrm) *nrm = tmp[j];
1368     }
1369     ierr = PetscFree(tmp);CHKERRQ(ierr);
1370   } else if (type == NORM_INFINITY) {
1371     *nrm = 0.0;
1372     for (j=0; j<A->m; j++) {
1373       v = a->a + a->i[j];
1374       sum = 0.0;
1375       for (i=0; i<a->i[j+1]-a->i[j]; i++) {
1376         sum += PetscAbsScalar(*v); v++;
1377       }
1378       if (sum > *nrm) *nrm = sum;
1379     }
1380   } else {
1381     SETERRQ(PETSC_ERR_SUP,"No support for two norm");
1382   }
1383   PetscFunctionReturn(0);
1384 }
1385 
1386 #undef __FUNCT__
1387 #define __FUNCT__ "MatTranspose_SeqAIJ"
1388 PetscErrorCode MatTranspose_SeqAIJ(Mat A,Mat *B)
1389 {
1390   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data;
1391   Mat          C;
1392   PetscErrorCode ierr;
1393   PetscInt          i,*aj = a->j,*ai = a->i,m = A->m,len,*col;
1394   PetscScalar  *array = a->a;
1395 
1396   PetscFunctionBegin;
1397   if (!B && m != A->n) SETERRQ(PETSC_ERR_ARG_SIZ,"Square matrix only for in-place");
1398   ierr = PetscMalloc((1+A->n)*sizeof(PetscInt),&col);CHKERRQ(ierr);
1399   ierr = PetscMemzero(col,(1+A->n)*sizeof(PetscInt));CHKERRQ(ierr);
1400 
1401   for (i=0; i<ai[m]; i++) col[aj[i]] += 1;
1402   ierr = MatCreate(A->comm,A->n,m,A->n,m,&C);CHKERRQ(ierr);
1403   ierr = MatSetType(C,A->type_name);CHKERRQ(ierr);
1404   ierr = MatSeqAIJSetPreallocation(C,0,col);CHKERRQ(ierr);
1405   ierr = PetscFree(col);CHKERRQ(ierr);
1406   for (i=0; i<m; i++) {
1407     len    = ai[i+1]-ai[i];
1408     ierr   = MatSetValues(C,len,aj,1,&i,array,INSERT_VALUES);CHKERRQ(ierr);
1409     array += len;
1410     aj    += len;
1411   }
1412 
1413   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1414   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1415 
1416   if (B) {
1417     *B = C;
1418   } else {
1419     ierr = MatHeaderCopy(A,C);CHKERRQ(ierr);
1420   }
1421   PetscFunctionReturn(0);
1422 }
1423 
1424 EXTERN_C_BEGIN
1425 #undef __FUNCT__
1426 #define __FUNCT__ "MatIsTranspose_SeqAIJ"
1427 PetscErrorCode MatIsTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscTruth *f)
1428 {
1429   Mat_SeqAIJ *aij = (Mat_SeqAIJ *) A->data,*bij = (Mat_SeqAIJ*) A->data;
1430   PetscInt        *adx,*bdx,*aii,*bii,*aptr,*bptr; PetscScalar *va,*vb;
1431   PetscErrorCode ierr;
1432   PetscInt        ma,na,mb,nb, i;
1433 
1434   PetscFunctionBegin;
1435   bij = (Mat_SeqAIJ *) B->data;
1436 
1437   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
1438   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
1439   if (ma!=nb || na!=mb){
1440     *f = PETSC_FALSE;
1441     PetscFunctionReturn(0);
1442   }
1443   aii = aij->i; bii = bij->i;
1444   adx = aij->j; bdx = bij->j;
1445   va  = aij->a; vb = bij->a;
1446   ierr = PetscMalloc(ma*sizeof(PetscInt),&aptr);CHKERRQ(ierr);
1447   ierr = PetscMalloc(mb*sizeof(PetscInt),&bptr);CHKERRQ(ierr);
1448   for (i=0; i<ma; i++) aptr[i] = aii[i];
1449   for (i=0; i<mb; i++) bptr[i] = bii[i];
1450 
1451   *f = PETSC_TRUE;
1452   for (i=0; i<ma; i++) {
1453     /*printf("row %d spans %d--%d; we start @ %d\n",
1454       i,idx[ii[i]],idx[ii[i+1]-1],idx[aptr[i]]);*/
1455     while (aptr[i]<aii[i+1]) {
1456       PetscInt         idc,idr;
1457       PetscScalar vc,vr;
1458       /* column/row index/value */
1459       idc = adx[aptr[i]];
1460       idr = bdx[bptr[idc]];
1461       vc  = va[aptr[i]];
1462       vr  = vb[bptr[idc]];
1463       /*printf("comparing %d: (%d,%d)=%e to (%d,%d)=%e\n",
1464 	aptr[i],i,idc,vc,idc,idr,vr);*/
1465       if (i!=idr || PetscAbsScalar(vc-vr) > tol) {
1466 	*f = PETSC_FALSE;
1467         goto done;
1468       } else {
1469 	aptr[i]++;
1470         if (B || i!=idc) bptr[idc]++;
1471       }
1472     }
1473   }
1474  done:
1475   ierr = PetscFree(aptr);CHKERRQ(ierr);
1476   if (B) {
1477     ierr = PetscFree(bptr);CHKERRQ(ierr);
1478   }
1479   PetscFunctionReturn(0);
1480 }
1481 EXTERN_C_END
1482 
1483 #undef __FUNCT__
1484 #define __FUNCT__ "MatIsSymmetric_SeqAIJ"
1485 PetscErrorCode MatIsSymmetric_SeqAIJ(Mat A,PetscReal tol,PetscTruth *f)
1486 {
1487   PetscErrorCode ierr;
1488   PetscFunctionBegin;
1489   ierr = MatIsTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
1490   PetscFunctionReturn(0);
1491 }
1492 
1493 #undef __FUNCT__
1494 #define __FUNCT__ "MatDiagonalScale_SeqAIJ"
1495 PetscErrorCode MatDiagonalScale_SeqAIJ(Mat A,Vec ll,Vec rr)
1496 {
1497   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data;
1498   PetscScalar  *l,*r,x,*v;
1499   PetscErrorCode ierr;
1500   PetscInt          i,j,m = A->m,n = A->n,M,nz = a->nz,*jj;
1501 
1502   PetscFunctionBegin;
1503   if (ll) {
1504     /* The local size is used so that VecMPI can be passed to this routine
1505        by MatDiagonalScale_MPIAIJ */
1506     ierr = VecGetLocalSize(ll,&m);CHKERRQ(ierr);
1507     if (m != A->m) SETERRQ(PETSC_ERR_ARG_SIZ,"Left scaling vector wrong length");
1508     ierr = VecGetArray(ll,&l);CHKERRQ(ierr);
1509     v = a->a;
1510     for (i=0; i<m; i++) {
1511       x = l[i];
1512       M = a->i[i+1] - a->i[i];
1513       for (j=0; j<M; j++) { (*v++) *= x;}
1514     }
1515     ierr = VecRestoreArray(ll,&l);CHKERRQ(ierr);
1516     PetscLogFlops(nz);
1517   }
1518   if (rr) {
1519     ierr = VecGetLocalSize(rr,&n);CHKERRQ(ierr);
1520     if (n != A->n) SETERRQ(PETSC_ERR_ARG_SIZ,"Right scaling vector wrong length");
1521     ierr = VecGetArray(rr,&r);CHKERRQ(ierr);
1522     v = a->a; jj = a->j;
1523     for (i=0; i<nz; i++) {
1524       (*v++) *= r[*jj++];
1525     }
1526     ierr = VecRestoreArray(rr,&r);CHKERRQ(ierr);
1527     PetscLogFlops(nz);
1528   }
1529   PetscFunctionReturn(0);
1530 }
1531 
1532 #undef __FUNCT__
1533 #define __FUNCT__ "MatGetSubMatrix_SeqAIJ"
1534 PetscErrorCode MatGetSubMatrix_SeqAIJ(Mat A,IS isrow,IS iscol,PetscInt csize,MatReuse scall,Mat *B)
1535 {
1536   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data,*c;
1537   PetscErrorCode ierr;
1538   PetscInt          *smap,i,k,kstart,kend,oldcols = A->n,*lens;
1539   PetscInt          row,mat_i,*mat_j,tcol,first,step,*mat_ilen,sum,lensi;
1540   PetscInt          *irow,*icol,nrows,ncols;
1541   PetscInt          *starts,*j_new,*i_new,*aj = a->j,*ai = a->i,ii,*ailen = a->ilen;
1542   PetscScalar  *a_new,*mat_a;
1543   Mat          C;
1544   PetscTruth   stride;
1545 
1546   PetscFunctionBegin;
1547   ierr = ISSorted(isrow,(PetscTruth*)&i);CHKERRQ(ierr);
1548   if (!i) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"ISrow is not sorted");
1549   ierr = ISSorted(iscol,(PetscTruth*)&i);CHKERRQ(ierr);
1550   if (!i) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"IScol is not sorted");
1551 
1552   ierr = ISGetIndices(isrow,&irow);CHKERRQ(ierr);
1553   ierr = ISGetLocalSize(isrow,&nrows);CHKERRQ(ierr);
1554   ierr = ISGetLocalSize(iscol,&ncols);CHKERRQ(ierr);
1555 
1556   ierr = ISStrideGetInfo(iscol,&first,&step);CHKERRQ(ierr);
1557   ierr = ISStride(iscol,&stride);CHKERRQ(ierr);
1558   if (stride && step == 1) {
1559     /* special case of contiguous rows */
1560     ierr   = PetscMalloc((2*nrows+1)*sizeof(PetscInt),&lens);CHKERRQ(ierr);
1561     starts = lens + nrows;
1562     /* loop over new rows determining lens and starting points */
1563     for (i=0; i<nrows; i++) {
1564       kstart  = ai[irow[i]];
1565       kend    = kstart + ailen[irow[i]];
1566       for (k=kstart; k<kend; k++) {
1567         if (aj[k] >= first) {
1568           starts[i] = k;
1569           break;
1570 	}
1571       }
1572       sum = 0;
1573       while (k < kend) {
1574         if (aj[k++] >= first+ncols) break;
1575         sum++;
1576       }
1577       lens[i] = sum;
1578     }
1579     /* create submatrix */
1580     if (scall == MAT_REUSE_MATRIX) {
1581       PetscInt n_cols,n_rows;
1582       ierr = MatGetSize(*B,&n_rows,&n_cols);CHKERRQ(ierr);
1583       if (n_rows != nrows || n_cols != ncols) SETERRQ(PETSC_ERR_ARG_SIZ,"Reused submatrix wrong size");
1584       ierr = MatZeroEntries(*B);CHKERRQ(ierr);
1585       C = *B;
1586     } else {
1587       ierr = MatCreate(A->comm,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE,&C);CHKERRQ(ierr);
1588       ierr = MatSetType(C,A->type_name);CHKERRQ(ierr);
1589       ierr = MatSeqAIJSetPreallocation(C,0,lens);CHKERRQ(ierr);
1590     }
1591     c = (Mat_SeqAIJ*)C->data;
1592 
1593     /* loop over rows inserting into submatrix */
1594     a_new    = c->a;
1595     j_new    = c->j;
1596     i_new    = c->i;
1597 
1598     for (i=0; i<nrows; i++) {
1599       ii    = starts[i];
1600       lensi = lens[i];
1601       for (k=0; k<lensi; k++) {
1602         *j_new++ = aj[ii+k] - first;
1603       }
1604       ierr = PetscMemcpy(a_new,a->a + starts[i],lensi*sizeof(PetscScalar));CHKERRQ(ierr);
1605       a_new      += lensi;
1606       i_new[i+1]  = i_new[i] + lensi;
1607       c->ilen[i]  = lensi;
1608     }
1609     ierr = PetscFree(lens);CHKERRQ(ierr);
1610   } else {
1611     ierr  = ISGetIndices(iscol,&icol);CHKERRQ(ierr);
1612     ierr  = PetscMalloc((1+oldcols)*sizeof(PetscInt),&smap);CHKERRQ(ierr);
1613 
1614     ierr  = PetscMalloc((1+nrows)*sizeof(PetscInt),&lens);CHKERRQ(ierr);
1615     ierr  = PetscMemzero(smap,oldcols*sizeof(PetscInt));CHKERRQ(ierr);
1616     for (i=0; i<ncols; i++) smap[icol[i]] = i+1;
1617     /* determine lens of each row */
1618     for (i=0; i<nrows; i++) {
1619       kstart  = ai[irow[i]];
1620       kend    = kstart + a->ilen[irow[i]];
1621       lens[i] = 0;
1622       for (k=kstart; k<kend; k++) {
1623         if (smap[aj[k]]) {
1624           lens[i]++;
1625         }
1626       }
1627     }
1628     /* Create and fill new matrix */
1629     if (scall == MAT_REUSE_MATRIX) {
1630       PetscTruth equal;
1631 
1632       c = (Mat_SeqAIJ *)((*B)->data);
1633       if ((*B)->m  != nrows || (*B)->n != ncols) SETERRQ(PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong size");
1634       ierr = PetscMemcmp(c->ilen,lens,(*B)->m*sizeof(PetscInt),&equal);CHKERRQ(ierr);
1635       if (!equal) {
1636         SETERRQ(PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong no of nonzeros");
1637       }
1638       ierr = PetscMemzero(c->ilen,(*B)->m*sizeof(PetscInt));CHKERRQ(ierr);
1639       C = *B;
1640     } else {
1641       ierr = MatCreate(A->comm,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE,&C);CHKERRQ(ierr);
1642       ierr = MatSetType(C,A->type_name);CHKERRQ(ierr);
1643       ierr = MatSeqAIJSetPreallocation(C,0,lens);CHKERRQ(ierr);
1644     }
1645     c = (Mat_SeqAIJ *)(C->data);
1646     for (i=0; i<nrows; i++) {
1647       row    = irow[i];
1648       kstart = ai[row];
1649       kend   = kstart + a->ilen[row];
1650       mat_i  = c->i[i];
1651       mat_j  = c->j + mat_i;
1652       mat_a  = c->a + mat_i;
1653       mat_ilen = c->ilen + i;
1654       for (k=kstart; k<kend; k++) {
1655         if ((tcol=smap[a->j[k]])) {
1656           *mat_j++ = tcol - 1;
1657           *mat_a++ = a->a[k];
1658           (*mat_ilen)++;
1659 
1660         }
1661       }
1662     }
1663     /* Free work space */
1664     ierr = ISRestoreIndices(iscol,&icol);CHKERRQ(ierr);
1665     ierr = PetscFree(smap);CHKERRQ(ierr);
1666     ierr = PetscFree(lens);CHKERRQ(ierr);
1667   }
1668   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1669   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1670 
1671   ierr = ISRestoreIndices(isrow,&irow);CHKERRQ(ierr);
1672   *B = C;
1673   PetscFunctionReturn(0);
1674 }
1675 
1676 /*
1677 */
1678 #undef __FUNCT__
1679 #define __FUNCT__ "MatILUFactor_SeqAIJ"
1680 PetscErrorCode MatILUFactor_SeqAIJ(Mat inA,IS row,IS col,MatFactorInfo *info)
1681 {
1682   Mat_SeqAIJ *a = (Mat_SeqAIJ*)inA->data;
1683   PetscErrorCode ierr;
1684   Mat        outA;
1685   PetscTruth row_identity,col_identity;
1686 
1687   PetscFunctionBegin;
1688   if (info->levels != 0) SETERRQ(PETSC_ERR_SUP,"Only levels=0 supported for in-place ilu");
1689   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
1690   ierr = ISIdentity(col,&col_identity);CHKERRQ(ierr);
1691   if (!row_identity || !col_identity) {
1692     SETERRQ(PETSC_ERR_ARG_WRONG,"Row and column permutations must be identity for in-place ILU");
1693   }
1694 
1695   outA          = inA;
1696   inA->factor   = FACTOR_LU;
1697   a->row        = row;
1698   a->col        = col;
1699   ierr = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
1700   ierr = PetscObjectReference((PetscObject)col);CHKERRQ(ierr);
1701 
1702   /* Create the inverse permutation so that it can be used in MatLUFactorNumeric() */
1703   if (a->icol) {ierr = ISDestroy(a->icol);CHKERRQ(ierr);} /* need to remove old one */
1704   ierr = ISInvertPermutation(col,PETSC_DECIDE,&a->icol);CHKERRQ(ierr);
1705   PetscLogObjectParent(inA,a->icol);
1706 
1707   if (!a->solve_work) { /* this matrix may have been factored before */
1708      ierr = PetscMalloc((inA->m+1)*sizeof(PetscScalar),&a->solve_work);CHKERRQ(ierr);
1709   }
1710 
1711   if (!a->diag) {
1712     ierr = MatMarkDiagonal_SeqAIJ(inA);CHKERRQ(ierr);
1713   }
1714   ierr = MatLUFactorNumeric_SeqAIJ(inA,&outA);CHKERRQ(ierr);
1715   PetscFunctionReturn(0);
1716 }
1717 
1718 #include "petscblaslapack.h"
1719 #undef __FUNCT__
1720 #define __FUNCT__ "MatScale_SeqAIJ"
1721 PetscErrorCode MatScale_SeqAIJ(const PetscScalar *alpha,Mat inA)
1722 {
1723   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)inA->data;
1724   PetscBLASInt bnz = (PetscBLASInt)a->nz,one = 1;
1725 
1726   PetscFunctionBegin;
1727   BLscal_(&bnz,(PetscScalar*)alpha,a->a,&one);
1728   PetscLogFlops(a->nz);
1729   PetscFunctionReturn(0);
1730 }
1731 
1732 #undef __FUNCT__
1733 #define __FUNCT__ "MatGetSubMatrices_SeqAIJ"
1734 PetscErrorCode MatGetSubMatrices_SeqAIJ(Mat A,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
1735 {
1736   PetscErrorCode ierr;
1737   PetscInt        i;
1738 
1739   PetscFunctionBegin;
1740   if (scall == MAT_INITIAL_MATRIX) {
1741     ierr = PetscMalloc((n+1)*sizeof(Mat),B);CHKERRQ(ierr);
1742   }
1743 
1744   for (i=0; i<n; i++) {
1745     ierr = MatGetSubMatrix_SeqAIJ(A,irow[i],icol[i],PETSC_DECIDE,scall,&(*B)[i]);CHKERRQ(ierr);
1746   }
1747   PetscFunctionReturn(0);
1748 }
1749 
1750 #undef __FUNCT__
1751 #define __FUNCT__ "MatGetBlockSize_SeqAIJ"
1752 PetscErrorCode MatGetBlockSize_SeqAIJ(Mat A,PetscInt *bs)
1753 {
1754   PetscFunctionBegin;
1755   *bs = 1;
1756   PetscFunctionReturn(0);
1757 }
1758 
1759 #undef __FUNCT__
1760 #define __FUNCT__ "MatIncreaseOverlap_SeqAIJ"
1761 PetscErrorCode MatIncreaseOverlap_SeqAIJ(Mat A,PetscInt is_max,IS is[],PetscInt ov)
1762 {
1763   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1764   PetscErrorCode ierr;
1765   PetscInt        row,i,j,k,l,m,n,*idx,*nidx,isz,val;
1766   PetscInt        start,end,*ai,*aj;
1767   PetscBT    table;
1768 
1769   PetscFunctionBegin;
1770   m     = A->m;
1771   ai    = a->i;
1772   aj    = a->j;
1773 
1774   if (ov < 0)  SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"illegal negative overlap value used");
1775 
1776   ierr = PetscMalloc((m+1)*sizeof(PetscInt),&nidx);CHKERRQ(ierr);
1777   ierr = PetscBTCreate(m,table);CHKERRQ(ierr);
1778 
1779   for (i=0; i<is_max; i++) {
1780     /* Initialize the two local arrays */
1781     isz  = 0;
1782     ierr = PetscBTMemzero(m,table);CHKERRQ(ierr);
1783 
1784     /* Extract the indices, assume there can be duplicate entries */
1785     ierr = ISGetIndices(is[i],&idx);CHKERRQ(ierr);
1786     ierr = ISGetLocalSize(is[i],&n);CHKERRQ(ierr);
1787 
1788     /* Enter these into the temp arrays. I.e., mark table[row], enter row into new index */
1789     for (j=0; j<n ; ++j){
1790       if(!PetscBTLookupSet(table,idx[j])) { nidx[isz++] = idx[j];}
1791     }
1792     ierr = ISRestoreIndices(is[i],&idx);CHKERRQ(ierr);
1793     ierr = ISDestroy(is[i]);CHKERRQ(ierr);
1794 
1795     k = 0;
1796     for (j=0; j<ov; j++){ /* for each overlap */
1797       n = isz;
1798       for (; k<n ; k++){ /* do only those rows in nidx[k], which are not done yet */
1799         row   = nidx[k];
1800         start = ai[row];
1801         end   = ai[row+1];
1802         for (l = start; l<end ; l++){
1803           val = aj[l] ;
1804           if (!PetscBTLookupSet(table,val)) {nidx[isz++] = val;}
1805         }
1806       }
1807     }
1808     ierr = ISCreateGeneral(PETSC_COMM_SELF,isz,nidx,(is+i));CHKERRQ(ierr);
1809   }
1810   ierr = PetscBTDestroy(table);CHKERRQ(ierr);
1811   ierr = PetscFree(nidx);CHKERRQ(ierr);
1812   PetscFunctionReturn(0);
1813 }
1814 
1815 /* -------------------------------------------------------------- */
1816 #undef __FUNCT__
1817 #define __FUNCT__ "MatPermute_SeqAIJ"
1818 PetscErrorCode MatPermute_SeqAIJ(Mat A,IS rowp,IS colp,Mat *B)
1819 {
1820   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
1821   PetscErrorCode ierr;
1822   PetscInt               i,nz,m = A->m,n = A->n,*col;
1823   PetscInt               *row,*cnew,j,*lens;
1824   IS                icolp,irowp;
1825   PetscInt               *cwork;
1826   PetscScalar       *vwork;
1827 
1828   PetscFunctionBegin;
1829   ierr = ISInvertPermutation(rowp,PETSC_DECIDE,&irowp);CHKERRQ(ierr);
1830   ierr = ISGetIndices(irowp,&row);CHKERRQ(ierr);
1831   ierr = ISInvertPermutation(colp,PETSC_DECIDE,&icolp);CHKERRQ(ierr);
1832   ierr = ISGetIndices(icolp,&col);CHKERRQ(ierr);
1833 
1834   /* determine lengths of permuted rows */
1835   ierr = PetscMalloc((m+1)*sizeof(PetscInt),&lens);CHKERRQ(ierr);
1836   for (i=0; i<m; i++) {
1837     lens[row[i]] = a->i[i+1] - a->i[i];
1838   }
1839   ierr = MatCreate(A->comm,m,n,m,n,B);CHKERRQ(ierr);
1840   ierr = MatSetType(*B,A->type_name);CHKERRQ(ierr);
1841   ierr = MatSeqAIJSetPreallocation(*B,0,lens);CHKERRQ(ierr);
1842   ierr = PetscFree(lens);CHKERRQ(ierr);
1843 
1844   ierr = PetscMalloc(n*sizeof(PetscInt),&cnew);CHKERRQ(ierr);
1845   for (i=0; i<m; i++) {
1846     ierr = MatGetRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
1847     for (j=0; j<nz; j++) { cnew[j] = col[cwork[j]];}
1848     ierr = MatSetValues(*B,1,&row[i],nz,cnew,vwork,INSERT_VALUES);CHKERRQ(ierr);
1849     ierr = MatRestoreRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
1850   }
1851   ierr = PetscFree(cnew);CHKERRQ(ierr);
1852   ierr = MatAssemblyBegin(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1853   ierr = MatAssemblyEnd(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1854   ierr = ISRestoreIndices(irowp,&row);CHKERRQ(ierr);
1855   ierr = ISRestoreIndices(icolp,&col);CHKERRQ(ierr);
1856   ierr = ISDestroy(irowp);CHKERRQ(ierr);
1857   ierr = ISDestroy(icolp);CHKERRQ(ierr);
1858   PetscFunctionReturn(0);
1859 }
1860 
1861 #undef __FUNCT__
1862 #define __FUNCT__ "MatPrintHelp_SeqAIJ"
1863 PetscErrorCode MatPrintHelp_SeqAIJ(Mat A)
1864 {
1865   static PetscTruth called = PETSC_FALSE;
1866   MPI_Comm          comm = A->comm;
1867   PetscErrorCode ierr;
1868 
1869   PetscFunctionBegin;
1870   if (called) {PetscFunctionReturn(0);} else called = PETSC_TRUE;
1871   ierr = (*PetscHelpPrintf)(comm," Options for MATSEQAIJ and MATMPIAIJ matrix formats (the defaults):\n");CHKERRQ(ierr);
1872   ierr = (*PetscHelpPrintf)(comm,"  -mat_lu_pivotthreshold <threshold>: Set pivoting threshold\n");CHKERRQ(ierr);
1873   ierr = (*PetscHelpPrintf)(comm,"  -mat_aij_oneindex: internal indices begin at 1 instead of the default 0.\n");CHKERRQ(ierr);
1874   ierr = (*PetscHelpPrintf)(comm,"  -mat_aij_no_inode: Do not use inodes\n");CHKERRQ(ierr);
1875   ierr = (*PetscHelpPrintf)(comm,"  -mat_aij_inode_limit <limit>: Set inode limit (max limit=5)\n");CHKERRQ(ierr);
1876   PetscFunctionReturn(0);
1877 }
1878 
1879 #undef __FUNCT__
1880 #define __FUNCT__ "MatCopy_SeqAIJ"
1881 PetscErrorCode MatCopy_SeqAIJ(Mat A,Mat B,MatStructure str)
1882 {
1883   PetscErrorCode ierr;
1884 
1885   PetscFunctionBegin;
1886   /* If the two matrices have the same copy implementation, use fast copy. */
1887   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
1888     Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1889     Mat_SeqAIJ *b = (Mat_SeqAIJ*)B->data;
1890 
1891     if (a->i[A->m] != b->i[B->m]) {
1892       SETERRQ(PETSC_ERR_ARG_INCOMP,"Number of nonzeros in two matrices are different");
1893     }
1894     ierr = PetscMemcpy(b->a,a->a,(a->i[A->m])*sizeof(PetscScalar));CHKERRQ(ierr);
1895   } else {
1896     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
1897   }
1898   PetscFunctionReturn(0);
1899 }
1900 
1901 #undef __FUNCT__
1902 #define __FUNCT__ "MatSetUpPreallocation_SeqAIJ"
1903 PetscErrorCode MatSetUpPreallocation_SeqAIJ(Mat A)
1904 {
1905   PetscErrorCode ierr;
1906 
1907   PetscFunctionBegin;
1908   ierr =  MatSeqAIJSetPreallocation(A,PETSC_DEFAULT,0);CHKERRQ(ierr);
1909   PetscFunctionReturn(0);
1910 }
1911 
1912 #undef __FUNCT__
1913 #define __FUNCT__ "MatGetArray_SeqAIJ"
1914 PetscErrorCode MatGetArray_SeqAIJ(Mat A,PetscScalar *array[])
1915 {
1916   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1917   PetscFunctionBegin;
1918   *array = a->a;
1919   PetscFunctionReturn(0);
1920 }
1921 
1922 #undef __FUNCT__
1923 #define __FUNCT__ "MatRestoreArray_SeqAIJ"
1924 PetscErrorCode MatRestoreArray_SeqAIJ(Mat A,PetscScalar *array[])
1925 {
1926   PetscFunctionBegin;
1927   PetscFunctionReturn(0);
1928 }
1929 
1930 #undef __FUNCT__
1931 #define __FUNCT__ "MatFDColoringApply_SeqAIJ"
1932 PetscErrorCode MatFDColoringApply_SeqAIJ(Mat J,MatFDColoring coloring,Vec x1,MatStructure *flag,void *sctx)
1933 {
1934   PetscErrorCode (*f)(void*,Vec,Vec,void*) = (PetscErrorCode (*)(void*,Vec,Vec,void *))coloring->f;
1935   PetscErrorCode ierr;
1936   PetscInt           k,N,start,end,l,row,col,srow,**vscaleforrow,m1,m2;
1937   PetscScalar   dx,mone = -1.0,*y,*xx,*w3_array;
1938   PetscScalar   *vscale_array;
1939   PetscReal     epsilon = coloring->error_rel,umin = coloring->umin;
1940   Vec           w1,w2,w3;
1941   void          *fctx = coloring->fctx;
1942   PetscTruth    flg;
1943 
1944   PetscFunctionBegin;
1945   if (!coloring->w1) {
1946     ierr = VecDuplicate(x1,&coloring->w1);CHKERRQ(ierr);
1947     PetscLogObjectParent(coloring,coloring->w1);
1948     ierr = VecDuplicate(x1,&coloring->w2);CHKERRQ(ierr);
1949     PetscLogObjectParent(coloring,coloring->w2);
1950     ierr = VecDuplicate(x1,&coloring->w3);CHKERRQ(ierr);
1951     PetscLogObjectParent(coloring,coloring->w3);
1952   }
1953   w1 = coloring->w1; w2 = coloring->w2; w3 = coloring->w3;
1954 
1955   ierr = MatSetUnfactored(J);CHKERRQ(ierr);
1956   ierr = PetscOptionsHasName(coloring->prefix,"-mat_fd_coloring_dont_rezero",&flg);CHKERRQ(ierr);
1957   if (flg) {
1958     PetscLogInfo(coloring,"MatFDColoringApply_SeqAIJ: Not calling MatZeroEntries()\n");
1959   } else {
1960     ierr = MatZeroEntries(J);CHKERRQ(ierr);
1961   }
1962 
1963   ierr = VecGetOwnershipRange(x1,&start,&end);CHKERRQ(ierr);
1964   ierr = VecGetSize(x1,&N);CHKERRQ(ierr);
1965 
1966   /*
1967        This is a horrible, horrible, hack. See DMMGComputeJacobian_Multigrid() it inproperly sets
1968      coloring->F for the coarser grids from the finest
1969   */
1970   if (coloring->F) {
1971     ierr = VecGetLocalSize(coloring->F,&m1);CHKERRQ(ierr);
1972     ierr = VecGetLocalSize(w1,&m2);CHKERRQ(ierr);
1973     if (m1 != m2) {
1974       coloring->F = 0;
1975     }
1976   }
1977 
1978   if (coloring->F) {
1979     w1          = coloring->F;
1980     coloring->F = 0;
1981   } else {
1982     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
1983     ierr = (*f)(sctx,x1,w1,fctx);CHKERRQ(ierr);
1984     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
1985   }
1986 
1987   /*
1988       Compute all the scale factors and share with other processors
1989   */
1990   ierr = VecGetArray(x1,&xx);CHKERRQ(ierr);xx = xx - start;
1991   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);vscale_array = vscale_array - start;
1992   for (k=0; k<coloring->ncolors; k++) {
1993     /*
1994        Loop over each column associated with color adding the
1995        perturbation to the vector w3.
1996     */
1997     for (l=0; l<coloring->ncolumns[k]; l++) {
1998       col = coloring->columns[k][l];    /* column of the matrix we are probing for */
1999       dx  = xx[col];
2000       if (dx == 0.0) dx = 1.0;
2001 #if !defined(PETSC_USE_COMPLEX)
2002       if (dx < umin && dx >= 0.0)      dx = umin;
2003       else if (dx < 0.0 && dx > -umin) dx = -umin;
2004 #else
2005       if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2006       else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2007 #endif
2008       dx                *= epsilon;
2009       vscale_array[col] = 1.0/dx;
2010     }
2011   }
2012   vscale_array = vscale_array + start;ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2013   ierr = VecGhostUpdateBegin(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2014   ierr = VecGhostUpdateEnd(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2015 
2016   /*  ierr = VecView(coloring->vscale,PETSC_VIEWER_STDOUT_WORLD);
2017       ierr = VecView(x1,PETSC_VIEWER_STDOUT_WORLD);*/
2018 
2019   if (coloring->vscaleforrow) vscaleforrow = coloring->vscaleforrow;
2020   else                        vscaleforrow = coloring->columnsforrow;
2021 
2022   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2023   /*
2024       Loop over each color
2025   */
2026   for (k=0; k<coloring->ncolors; k++) {
2027     coloring->currentcolor = k;
2028     ierr = VecCopy(x1,w3);CHKERRQ(ierr);
2029     ierr = VecGetArray(w3,&w3_array);CHKERRQ(ierr);w3_array = w3_array - start;
2030     /*
2031        Loop over each column associated with color adding the
2032        perturbation to the vector w3.
2033     */
2034     for (l=0; l<coloring->ncolumns[k]; l++) {
2035       col = coloring->columns[k][l];    /* column of the matrix we are probing for */
2036       dx  = xx[col];
2037       if (dx == 0.0) dx = 1.0;
2038 #if !defined(PETSC_USE_COMPLEX)
2039       if (dx < umin && dx >= 0.0)      dx = umin;
2040       else if (dx < 0.0 && dx > -umin) dx = -umin;
2041 #else
2042       if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2043       else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2044 #endif
2045       dx            *= epsilon;
2046       if (!PetscAbsScalar(dx)) SETERRQ(PETSC_ERR_PLIB,"Computed 0 differencing parameter");
2047       w3_array[col] += dx;
2048     }
2049     w3_array = w3_array + start; ierr = VecRestoreArray(w3,&w3_array);CHKERRQ(ierr);
2050 
2051     /*
2052        Evaluate function at x1 + dx (here dx is a vector of perturbations)
2053     */
2054 
2055     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2056     ierr = (*f)(sctx,w3,w2,fctx);CHKERRQ(ierr);
2057     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2058     ierr = VecAXPY(&mone,w1,w2);CHKERRQ(ierr);
2059 
2060     /*
2061        Loop over rows of vector, putting results into Jacobian matrix
2062     */
2063     ierr = VecGetArray(w2,&y);CHKERRQ(ierr);
2064     for (l=0; l<coloring->nrows[k]; l++) {
2065       row    = coloring->rows[k][l];
2066       col    = coloring->columnsforrow[k][l];
2067       y[row] *= vscale_array[vscaleforrow[k][l]];
2068       srow   = row + start;
2069       ierr   = MatSetValues_SeqAIJ(J,1,&srow,1,&col,y+row,INSERT_VALUES);CHKERRQ(ierr);
2070     }
2071     ierr = VecRestoreArray(w2,&y);CHKERRQ(ierr);
2072   }
2073   coloring->currentcolor = k;
2074   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2075   xx = xx + start; ierr  = VecRestoreArray(x1,&xx);CHKERRQ(ierr);
2076   ierr  = MatAssemblyBegin(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2077   ierr  = MatAssemblyEnd(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2078   PetscFunctionReturn(0);
2079 }
2080 
2081 #include "petscblaslapack.h"
2082 #undef __FUNCT__
2083 #define __FUNCT__ "MatAXPY_SeqAIJ"
2084 PetscErrorCode MatAXPY_SeqAIJ(const PetscScalar a[],Mat X,Mat Y,MatStructure str)
2085 {
2086   PetscErrorCode ierr;
2087   PetscInt            i;
2088   Mat_SeqAIJ     *x  = (Mat_SeqAIJ *)X->data,*y = (Mat_SeqAIJ *)Y->data;
2089   PetscBLASInt   one=1,bnz = (PetscBLASInt)x->nz;
2090 
2091   PetscFunctionBegin;
2092   if (str == SAME_NONZERO_PATTERN) {
2093     BLaxpy_(&bnz,(PetscScalar*)a,x->a,&one,y->a,&one);
2094   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
2095     if (y->xtoy && y->XtoY != X) {
2096       ierr = PetscFree(y->xtoy);CHKERRQ(ierr);
2097       ierr = MatDestroy(y->XtoY);CHKERRQ(ierr);
2098     }
2099     if (!y->xtoy) { /* get xtoy */
2100       ierr = MatAXPYGetxtoy_Private(X->m,x->i,x->j,PETSC_NULL, y->i,y->j,PETSC_NULL, &y->xtoy);CHKERRQ(ierr);
2101       y->XtoY = X;
2102     }
2103     for (i=0; i<x->nz; i++) y->a[y->xtoy[i]] += (*a)*(x->a[i]);
2104     PetscLogInfo(0,"MatAXPY_SeqAIJ: ratio of nnz(X)/nnz(Y): %d/%d = %g\n",x->nz,y->nz,(PetscReal)(x->nz)/y->nz);
2105   } else {
2106     ierr = MatAXPY_Basic(a,X,Y,str);CHKERRQ(ierr);
2107   }
2108   PetscFunctionReturn(0);
2109 }
2110 
2111 /* -------------------------------------------------------------------*/
2112 static struct _MatOps MatOps_Values = {MatSetValues_SeqAIJ,
2113        MatGetRow_SeqAIJ,
2114        MatRestoreRow_SeqAIJ,
2115        MatMult_SeqAIJ,
2116 /* 4*/ MatMultAdd_SeqAIJ,
2117        MatMultTranspose_SeqAIJ,
2118        MatMultTransposeAdd_SeqAIJ,
2119        MatSolve_SeqAIJ,
2120        MatSolveAdd_SeqAIJ,
2121        MatSolveTranspose_SeqAIJ,
2122 /*10*/ MatSolveTransposeAdd_SeqAIJ,
2123        MatLUFactor_SeqAIJ,
2124        0,
2125        MatRelax_SeqAIJ,
2126        MatTranspose_SeqAIJ,
2127 /*15*/ MatGetInfo_SeqAIJ,
2128        MatEqual_SeqAIJ,
2129        MatGetDiagonal_SeqAIJ,
2130        MatDiagonalScale_SeqAIJ,
2131        MatNorm_SeqAIJ,
2132 /*20*/ 0,
2133        MatAssemblyEnd_SeqAIJ,
2134        MatCompress_SeqAIJ,
2135        MatSetOption_SeqAIJ,
2136        MatZeroEntries_SeqAIJ,
2137 /*25*/ MatZeroRows_SeqAIJ,
2138        MatLUFactorSymbolic_SeqAIJ,
2139        MatLUFactorNumeric_SeqAIJ,
2140        MatCholeskyFactorSymbolic_SeqAIJ,
2141        MatCholeskyFactorNumeric_SeqAIJ,
2142 /*30*/ MatSetUpPreallocation_SeqAIJ,
2143        MatILUFactorSymbolic_SeqAIJ,
2144        MatICCFactorSymbolic_SeqAIJ,
2145        MatGetArray_SeqAIJ,
2146        MatRestoreArray_SeqAIJ,
2147 /*35*/ MatDuplicate_SeqAIJ,
2148        0,
2149        0,
2150        MatILUFactor_SeqAIJ,
2151        0,
2152 /*40*/ MatAXPY_SeqAIJ,
2153        MatGetSubMatrices_SeqAIJ,
2154        MatIncreaseOverlap_SeqAIJ,
2155        MatGetValues_SeqAIJ,
2156        MatCopy_SeqAIJ,
2157 /*45*/ MatPrintHelp_SeqAIJ,
2158        MatScale_SeqAIJ,
2159        0,
2160        0,
2161        MatILUDTFactor_SeqAIJ,
2162 /*50*/ MatGetBlockSize_SeqAIJ,
2163        MatGetRowIJ_SeqAIJ,
2164        MatRestoreRowIJ_SeqAIJ,
2165        MatGetColumnIJ_SeqAIJ,
2166        MatRestoreColumnIJ_SeqAIJ,
2167 /*55*/ MatFDColoringCreate_SeqAIJ,
2168        0,
2169        0,
2170        MatPermute_SeqAIJ,
2171        0,
2172 /*60*/ 0,
2173        MatDestroy_SeqAIJ,
2174        MatView_SeqAIJ,
2175        MatGetPetscMaps_Petsc,
2176        0,
2177 /*65*/ 0,
2178        0,
2179        0,
2180        0,
2181        0,
2182 /*70*/ 0,
2183        0,
2184        MatSetColoring_SeqAIJ,
2185        MatSetValuesAdic_SeqAIJ,
2186        MatSetValuesAdifor_SeqAIJ,
2187 /*75*/ MatFDColoringApply_SeqAIJ,
2188        0,
2189        0,
2190        0,
2191        0,
2192 /*80*/ 0,
2193        0,
2194        0,
2195        0,
2196        MatLoad_SeqAIJ,
2197 /*85*/ MatIsSymmetric_SeqAIJ,
2198        0,
2199        0,
2200        0,
2201        0,
2202 /*90*/ MatMatMult_SeqAIJ_SeqAIJ,
2203        MatMatMultSymbolic_SeqAIJ_SeqAIJ,
2204        MatMatMultNumeric_SeqAIJ_SeqAIJ,
2205        MatPtAP_SeqAIJ_SeqAIJ,
2206        MatPtAPSymbolic_SeqAIJ_SeqAIJ,
2207 /*95*/ MatPtAPNumeric_SeqAIJ_SeqAIJ,
2208        MatMatMultTranspose_SeqAIJ_SeqAIJ,
2209        MatMatMultTransposeSymbolic_SeqAIJ_SeqAIJ,
2210        MatMatMultTransposeNumeric_SeqAIJ_SeqAIJ,
2211 };
2212 
2213 EXTERN_C_BEGIN
2214 #undef __FUNCT__
2215 #define __FUNCT__ "MatSeqAIJSetColumnIndices_SeqAIJ"
2216 PetscErrorCode MatSeqAIJSetColumnIndices_SeqAIJ(Mat mat,PetscInt *indices)
2217 {
2218   Mat_SeqAIJ *aij = (Mat_SeqAIJ *)mat->data;
2219   PetscInt        i,nz,n;
2220 
2221   PetscFunctionBegin;
2222 
2223   nz = aij->maxnz;
2224   n  = mat->n;
2225   for (i=0; i<nz; i++) {
2226     aij->j[i] = indices[i];
2227   }
2228   aij->nz = nz;
2229   for (i=0; i<n; i++) {
2230     aij->ilen[i] = aij->imax[i];
2231   }
2232 
2233   PetscFunctionReturn(0);
2234 }
2235 EXTERN_C_END
2236 
2237 #undef __FUNCT__
2238 #define __FUNCT__ "MatSeqAIJSetColumnIndices"
2239 /*@
2240     MatSeqAIJSetColumnIndices - Set the column indices for all the rows
2241        in the matrix.
2242 
2243   Input Parameters:
2244 +  mat - the SeqAIJ matrix
2245 -  indices - the column indices
2246 
2247   Level: advanced
2248 
2249   Notes:
2250     This can be called if you have precomputed the nonzero structure of the
2251   matrix and want to provide it to the matrix object to improve the performance
2252   of the MatSetValues() operation.
2253 
2254     You MUST have set the correct numbers of nonzeros per row in the call to
2255   MatCreateSeqAIJ().
2256 
2257     MUST be called before any calls to MatSetValues();
2258 
2259     The indices should start with zero, not one.
2260 
2261 @*/
2262 PetscErrorCode MatSeqAIJSetColumnIndices(Mat mat,PetscInt *indices)
2263 {
2264   PetscErrorCode ierr,(*f)(Mat,PetscInt *);
2265 
2266   PetscFunctionBegin;
2267   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2268   PetscValidPointer(indices,2);
2269   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatSeqAIJSetColumnIndices_C",(void (**)(void))&f);CHKERRQ(ierr);
2270   if (f) {
2271     ierr = (*f)(mat,indices);CHKERRQ(ierr);
2272   } else {
2273     SETERRQ(PETSC_ERR_SUP,"Wrong type of matrix to set column indices");
2274   }
2275   PetscFunctionReturn(0);
2276 }
2277 
2278 /* ----------------------------------------------------------------------------------------*/
2279 
2280 EXTERN_C_BEGIN
2281 #undef __FUNCT__
2282 #define __FUNCT__ "MatStoreValues_SeqAIJ"
2283 PetscErrorCode MatStoreValues_SeqAIJ(Mat mat)
2284 {
2285   Mat_SeqAIJ *aij = (Mat_SeqAIJ *)mat->data;
2286   PetscErrorCode ierr;
2287   size_t       nz = aij->i[mat->m];
2288 
2289   PetscFunctionBegin;
2290   if (aij->nonew != 1) {
2291     SETERRQ(PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NO_NEW_NONZERO_LOCATIONS);first");
2292   }
2293 
2294   /* allocate space for values if not already there */
2295   if (!aij->saved_values) {
2296     ierr = PetscMalloc((nz+1)*sizeof(PetscScalar),&aij->saved_values);CHKERRQ(ierr);
2297   }
2298 
2299   /* copy values over */
2300   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
2301   PetscFunctionReturn(0);
2302 }
2303 EXTERN_C_END
2304 
2305 #undef __FUNCT__
2306 #define __FUNCT__ "MatStoreValues"
2307 /*@
2308     MatStoreValues - Stashes a copy of the matrix values; this allows, for
2309        example, reuse of the linear part of a Jacobian, while recomputing the
2310        nonlinear portion.
2311 
2312    Collect on Mat
2313 
2314   Input Parameters:
2315 .  mat - the matrix (currently on AIJ matrices support this option)
2316 
2317   Level: advanced
2318 
2319   Common Usage, with SNESSolve():
2320 $    Create Jacobian matrix
2321 $    Set linear terms into matrix
2322 $    Apply boundary conditions to matrix, at this time matrix must have
2323 $      final nonzero structure (i.e. setting the nonlinear terms and applying
2324 $      boundary conditions again will not change the nonzero structure
2325 $    ierr = MatSetOption(mat,MAT_NO_NEW_NONZERO_LOCATIONS);
2326 $    ierr = MatStoreValues(mat);
2327 $    Call SNESSetJacobian() with matrix
2328 $    In your Jacobian routine
2329 $      ierr = MatRetrieveValues(mat);
2330 $      Set nonlinear terms in matrix
2331 
2332   Common Usage without SNESSolve(), i.e. when you handle nonlinear solve yourself:
2333 $    // build linear portion of Jacobian
2334 $    ierr = MatSetOption(mat,MAT_NO_NEW_NONZERO_LOCATIONS);
2335 $    ierr = MatStoreValues(mat);
2336 $    loop over nonlinear iterations
2337 $       ierr = MatRetrieveValues(mat);
2338 $       // call MatSetValues(mat,...) to set nonliner portion of Jacobian
2339 $       // call MatAssemblyBegin/End() on matrix
2340 $       Solve linear system with Jacobian
2341 $    endloop
2342 
2343   Notes:
2344     Matrix must already be assemblied before calling this routine
2345     Must set the matrix option MatSetOption(mat,MAT_NO_NEW_NONZERO_LOCATIONS); before
2346     calling this routine.
2347 
2348 .seealso: MatRetrieveValues()
2349 
2350 @*/
2351 PetscErrorCode MatStoreValues(Mat mat)
2352 {
2353   PetscErrorCode ierr,(*f)(Mat);
2354 
2355   PetscFunctionBegin;
2356   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2357   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2358   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2359 
2360   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatStoreValues_C",(void (**)(void))&f);CHKERRQ(ierr);
2361   if (f) {
2362     ierr = (*f)(mat);CHKERRQ(ierr);
2363   } else {
2364     SETERRQ(PETSC_ERR_SUP,"Wrong type of matrix to store values");
2365   }
2366   PetscFunctionReturn(0);
2367 }
2368 
2369 EXTERN_C_BEGIN
2370 #undef __FUNCT__
2371 #define __FUNCT__ "MatRetrieveValues_SeqAIJ"
2372 PetscErrorCode MatRetrieveValues_SeqAIJ(Mat mat)
2373 {
2374   Mat_SeqAIJ *aij = (Mat_SeqAIJ *)mat->data;
2375   PetscErrorCode ierr;
2376   PetscInt        nz = aij->i[mat->m];
2377 
2378   PetscFunctionBegin;
2379   if (aij->nonew != 1) {
2380     SETERRQ(PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NO_NEW_NONZERO_LOCATIONS);first");
2381   }
2382   if (!aij->saved_values) {
2383     SETERRQ(PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
2384   }
2385   /* copy values over */
2386   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
2387   PetscFunctionReturn(0);
2388 }
2389 EXTERN_C_END
2390 
2391 #undef __FUNCT__
2392 #define __FUNCT__ "MatRetrieveValues"
2393 /*@
2394     MatRetrieveValues - Retrieves the copy of the matrix values; this allows, for
2395        example, reuse of the linear part of a Jacobian, while recomputing the
2396        nonlinear portion.
2397 
2398    Collect on Mat
2399 
2400   Input Parameters:
2401 .  mat - the matrix (currently on AIJ matrices support this option)
2402 
2403   Level: advanced
2404 
2405 .seealso: MatStoreValues()
2406 
2407 @*/
2408 PetscErrorCode MatRetrieveValues(Mat mat)
2409 {
2410   PetscErrorCode ierr,(*f)(Mat);
2411 
2412   PetscFunctionBegin;
2413   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2414   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2415   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2416 
2417   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatRetrieveValues_C",(void (**)(void))&f);CHKERRQ(ierr);
2418   if (f) {
2419     ierr = (*f)(mat);CHKERRQ(ierr);
2420   } else {
2421     SETERRQ(PETSC_ERR_SUP,"Wrong type of matrix to retrieve values");
2422   }
2423   PetscFunctionReturn(0);
2424 }
2425 
2426 
2427 /* --------------------------------------------------------------------------------*/
2428 #undef __FUNCT__
2429 #define __FUNCT__ "MatCreateSeqAIJ"
2430 /*@C
2431    MatCreateSeqAIJ - Creates a sparse matrix in AIJ (compressed row) format
2432    (the default parallel PETSc format).  For good matrix assembly performance
2433    the user should preallocate the matrix storage by setting the parameter nz
2434    (or the array nnz).  By setting these parameters accurately, performance
2435    during matrix assembly can be increased by more than a factor of 50.
2436 
2437    Collective on MPI_Comm
2438 
2439    Input Parameters:
2440 +  comm - MPI communicator, set to PETSC_COMM_SELF
2441 .  m - number of rows
2442 .  n - number of columns
2443 .  nz - number of nonzeros per row (same for all rows)
2444 -  nnz - array containing the number of nonzeros in the various rows
2445          (possibly different for each row) or PETSC_NULL
2446 
2447    Output Parameter:
2448 .  A - the matrix
2449 
2450    Notes:
2451    The AIJ format (also called the Yale sparse matrix format or
2452    compressed row storage), is fully compatible with standard Fortran 77
2453    storage.  That is, the stored row and column indices can begin at
2454    either one (as in Fortran) or zero.  See the users' manual for details.
2455 
2456    Specify the preallocated storage with either nz or nnz (not both).
2457    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
2458    allocation.  For large problems you MUST preallocate memory or you
2459    will get TERRIBLE performance, see the users' manual chapter on matrices.
2460 
2461    By default, this format uses inodes (identical nodes) when possible, to
2462    improve numerical efficiency of matrix-vector products and solves. We
2463    search for consecutive rows with the same nonzero structure, thereby
2464    reusing matrix information to achieve increased efficiency.
2465 
2466    Options Database Keys:
2467 +  -mat_aij_no_inode  - Do not use inodes
2468 .  -mat_aij_inode_limit <limit> - Sets inode limit (max limit=5)
2469 -  -mat_aij_oneindex - Internally use indexing starting at 1
2470         rather than 0.  Note that when calling MatSetValues(),
2471         the user still MUST index entries starting at 0!
2472 
2473    Level: intermediate
2474 
2475 .seealso: MatCreate(), MatCreateMPIAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays()
2476 
2477 @*/
2478 PetscErrorCode MatCreateSeqAIJ(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
2479 {
2480   PetscErrorCode ierr;
2481 
2482   PetscFunctionBegin;
2483   ierr = MatCreate(comm,m,n,m,n,A);CHKERRQ(ierr);
2484   ierr = MatSetType(*A,MATSEQAIJ);CHKERRQ(ierr);
2485   ierr = MatSeqAIJSetPreallocation(*A,nz,nnz);CHKERRQ(ierr);
2486   PetscFunctionReturn(0);
2487 }
2488 
2489 #define SKIP_ALLOCATION -4
2490 
2491 #undef __FUNCT__
2492 #define __FUNCT__ "MatSeqAIJSetPreallocation"
2493 /*@C
2494    MatSeqAIJSetPreallocation - For good matrix assembly performance
2495    the user should preallocate the matrix storage by setting the parameter nz
2496    (or the array nnz).  By setting these parameters accurately, performance
2497    during matrix assembly can be increased by more than a factor of 50.
2498 
2499    Collective on MPI_Comm
2500 
2501    Input Parameters:
2502 +  comm - MPI communicator, set to PETSC_COMM_SELF
2503 .  m - number of rows
2504 .  n - number of columns
2505 .  nz - number of nonzeros per row (same for all rows)
2506 -  nnz - array containing the number of nonzeros in the various rows
2507          (possibly different for each row) or PETSC_NULL
2508 
2509    Output Parameter:
2510 .  A - the matrix
2511 
2512    Notes:
2513    The AIJ format (also called the Yale sparse matrix format or
2514    compressed row storage), is fully compatible with standard Fortran 77
2515    storage.  That is, the stored row and column indices can begin at
2516    either one (as in Fortran) or zero.  See the users' manual for details.
2517 
2518    Specify the preallocated storage with either nz or nnz (not both).
2519    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
2520    allocation.  For large problems you MUST preallocate memory or you
2521    will get TERRIBLE performance, see the users' manual chapter on matrices.
2522 
2523    By default, this format uses inodes (identical nodes) when possible, to
2524    improve numerical efficiency of matrix-vector products and solves. We
2525    search for consecutive rows with the same nonzero structure, thereby
2526    reusing matrix information to achieve increased efficiency.
2527 
2528    Options Database Keys:
2529 +  -mat_aij_no_inode  - Do not use inodes
2530 .  -mat_aij_inode_limit <limit> - Sets inode limit (max limit=5)
2531 -  -mat_aij_oneindex - Internally use indexing starting at 1
2532         rather than 0.  Note that when calling MatSetValues(),
2533         the user still MUST index entries starting at 0!
2534 
2535    Level: intermediate
2536 
2537 .seealso: MatCreate(), MatCreateMPIAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays()
2538 
2539 @*/
2540 PetscErrorCode MatSeqAIJSetPreallocation(Mat B,PetscInt nz,const PetscInt nnz[])
2541 {
2542   PetscErrorCode ierr,(*f)(Mat,PetscInt,const PetscInt[]);
2543 
2544   PetscFunctionBegin;
2545   ierr = PetscObjectQueryFunction((PetscObject)B,"MatSeqAIJSetPreallocation_C",(void (**)(void))&f);CHKERRQ(ierr);
2546   if (f) {
2547     ierr = (*f)(B,nz,nnz);CHKERRQ(ierr);
2548   }
2549   PetscFunctionReturn(0);
2550 }
2551 
2552 EXTERN_C_BEGIN
2553 #undef __FUNCT__
2554 #define __FUNCT__ "MatSeqAIJSetPreallocation_SeqAIJ"
2555 PetscErrorCode MatSeqAIJSetPreallocation_SeqAIJ(Mat B,PetscInt nz,PetscInt *nnz)
2556 {
2557   Mat_SeqAIJ *b;
2558   size_t     len = 0;
2559   PetscTruth skipallocation = PETSC_FALSE;
2560   PetscErrorCode ierr;
2561   PetscInt        i;
2562 
2563   PetscFunctionBegin;
2564 
2565   if (nz == SKIP_ALLOCATION) {
2566     skipallocation = PETSC_TRUE;
2567     nz             = 0;
2568   }
2569 
2570   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
2571   if (nz < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %d",nz);
2572   if (nnz) {
2573     for (i=0; i<B->m; i++) {
2574       if (nnz[i] < 0) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"nnz cannot be less than 0: local row %d value %d",i,nnz[i]);
2575       if (nnz[i] > B->n) SETERRQ3(PETSC_ERR_ARG_OUTOFRANGE,"nnz cannot be greater than row length: local row %d value %d rowlength %d",i,nnz[i],B->n);
2576     }
2577   }
2578 
2579   B->preallocated = PETSC_TRUE;
2580   b = (Mat_SeqAIJ*)B->data;
2581 
2582   ierr = PetscMalloc((B->m+1)*sizeof(PetscInt),&b->imax);CHKERRQ(ierr);
2583   if (!nnz) {
2584     if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 10;
2585     else if (nz <= 0)        nz = 1;
2586     for (i=0; i<B->m; i++) b->imax[i] = nz;
2587     nz = nz*B->m;
2588   } else {
2589     nz = 0;
2590     for (i=0; i<B->m; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
2591   }
2592 
2593   if (!skipallocation) {
2594     /* allocate the matrix space */
2595     len             = ((size_t) nz)*(sizeof(PetscInt) + sizeof(PetscScalar)) + (B->m+1)*sizeof(PetscInt);
2596     ierr            = PetscMalloc(len,&b->a);CHKERRQ(ierr);
2597     b->j            = (PetscInt*)(b->a + nz);
2598     ierr            = PetscMemzero(b->j,nz*sizeof(PetscInt));CHKERRQ(ierr);
2599     b->i            = b->j + nz;
2600     b->i[0] = 0;
2601     for (i=1; i<B->m+1; i++) {
2602       b->i[i] = b->i[i-1] + b->imax[i-1];
2603     }
2604     b->singlemalloc = PETSC_TRUE;
2605     b->freedata     = PETSC_TRUE;
2606   } else {
2607     b->freedata     = PETSC_FALSE;
2608   }
2609 
2610   /* b->ilen will count nonzeros in each row so far. */
2611   ierr = PetscMalloc((B->m+1)*sizeof(PetscInt),&b->ilen);CHKERRQ(ierr);
2612   PetscLogObjectMemory(B,len+2*(B->m+1)*sizeof(PetscInt)+sizeof(struct _p_Mat)+sizeof(Mat_SeqAIJ));
2613   for (i=0; i<B->m; i++) { b->ilen[i] = 0;}
2614 
2615   b->nz                = 0;
2616   b->maxnz             = nz;
2617   B->info.nz_unneeded  = (double)b->maxnz;
2618   PetscFunctionReturn(0);
2619 }
2620 EXTERN_C_END
2621 
2622 /*MC
2623    MATSEQAIJ - MATSEQAIJ = "seqaij" - A matrix type to be used for sequential sparse matrices,
2624    based on compressed sparse row format.
2625 
2626    Options Database Keys:
2627 . -mat_type seqaij - sets the matrix type to "seqaij" during a call to MatSetFromOptions()
2628 
2629   Level: beginner
2630 
2631 .seealso: MatCreateSeqAIJ(), MatSetFromOptions(), MatSetType(), MatCreate(), MatType
2632 M*/
2633 
2634 EXTERN_C_BEGIN
2635 #undef __FUNCT__
2636 #define __FUNCT__ "MatCreate_SeqAIJ"
2637 PetscErrorCode MatCreate_SeqAIJ(Mat B)
2638 {
2639   Mat_SeqAIJ     *b;
2640   PetscErrorCode ierr;
2641   PetscMPIInt    size;
2642 
2643   PetscFunctionBegin;
2644   ierr = MPI_Comm_size(B->comm,&size);CHKERRQ(ierr);
2645   if (size > 1) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Comm must be of size 1");
2646 
2647   B->m = B->M = PetscMax(B->m,B->M);
2648   B->n = B->N = PetscMax(B->n,B->N);
2649 
2650   ierr = PetscNew(Mat_SeqAIJ,&b);CHKERRQ(ierr);
2651   B->data             = (void*)b;
2652   ierr = PetscMemzero(b,sizeof(Mat_SeqAIJ));CHKERRQ(ierr);
2653   ierr = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
2654   B->factor           = 0;
2655   B->lupivotthreshold = 1.0;
2656   B->mapping          = 0;
2657   ierr = PetscOptionsGetReal(B->prefix,"-mat_lu_pivotthreshold",&B->lupivotthreshold,PETSC_NULL);CHKERRQ(ierr);
2658   ierr = PetscOptionsHasName(B->prefix,"-pc_ilu_preserve_row_sums",&b->ilu_preserve_row_sums);CHKERRQ(ierr);
2659   b->row              = 0;
2660   b->col              = 0;
2661   b->icol             = 0;
2662   b->reallocs         = 0;
2663 
2664   ierr = PetscMapCreateMPI(B->comm,B->m,B->m,&B->rmap);CHKERRQ(ierr);
2665   ierr = PetscMapCreateMPI(B->comm,B->n,B->n,&B->cmap);CHKERRQ(ierr);
2666 
2667   b->sorted            = PETSC_FALSE;
2668   b->ignorezeroentries = PETSC_FALSE;
2669   b->roworiented       = PETSC_TRUE;
2670   b->nonew             = 0;
2671   b->diag              = 0;
2672   b->solve_work        = 0;
2673   B->spptr             = 0;
2674   b->inode.use         = PETSC_TRUE;
2675   b->inode.node_count  = 0;
2676   b->inode.size        = 0;
2677   b->inode.limit       = 5;
2678   b->inode.max_limit   = 5;
2679   b->saved_values      = 0;
2680   b->idiag             = 0;
2681   b->ssor              = 0;
2682   b->keepzeroedrows    = PETSC_FALSE;
2683   b->xtoy              = 0;
2684   b->XtoY              = 0;
2685 
2686   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
2687 
2688   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqAIJSetColumnIndices_C",
2689                                      "MatSeqAIJSetColumnIndices_SeqAIJ",
2690                                      MatSeqAIJSetColumnIndices_SeqAIJ);CHKERRQ(ierr);
2691   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatStoreValues_C",
2692                                      "MatStoreValues_SeqAIJ",
2693                                      MatStoreValues_SeqAIJ);CHKERRQ(ierr);
2694   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatRetrieveValues_C",
2695                                      "MatRetrieveValues_SeqAIJ",
2696                                      MatRetrieveValues_SeqAIJ);CHKERRQ(ierr);
2697   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqaij_seqsbaij_C",
2698                                      "MatConvert_SeqAIJ_SeqSBAIJ",
2699                                       MatConvert_SeqAIJ_SeqSBAIJ);CHKERRQ(ierr);
2700   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqaij_seqbaij_C",
2701                                      "MatConvert_SeqAIJ_SeqBAIJ",
2702                                       MatConvert_SeqAIJ_SeqBAIJ);CHKERRQ(ierr);
2703   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatIsTranspose_C",
2704                                      "MatIsTranspose_SeqAIJ",
2705                                       MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
2706   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqAIJSetPreallocation_C",
2707                                      "MatSeqAIJSetPreallocation_SeqAIJ",
2708                                       MatSeqAIJSetPreallocation_SeqAIJ);CHKERRQ(ierr);
2709   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatReorderForNonzeroDiagonal_C",
2710                                      "MatReorderForNonzeroDiagonal_SeqAIJ",
2711                                       MatReorderForNonzeroDiagonal_SeqAIJ);CHKERRQ(ierr);
2712   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatAdjustForInodes_C",
2713                                      "MatAdjustForInodes_SeqAIJ",
2714                                       MatAdjustForInodes_SeqAIJ);CHKERRQ(ierr);
2715   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqAIJGetInodeSizes_C",
2716                                      "MatSeqAIJGetInodeSizes_SeqAIJ",
2717                                       MatSeqAIJGetInodeSizes_SeqAIJ);CHKERRQ(ierr);
2718   PetscFunctionReturn(0);
2719 }
2720 EXTERN_C_END
2721 
2722 #undef __FUNCT__
2723 #define __FUNCT__ "MatDuplicate_SeqAIJ"
2724 PetscErrorCode MatDuplicate_SeqAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
2725 {
2726   Mat        C;
2727   Mat_SeqAIJ *c,*a = (Mat_SeqAIJ*)A->data;
2728   PetscErrorCode ierr;
2729   PetscInt        i,m = A->m;
2730   size_t     len;
2731 
2732   PetscFunctionBegin;
2733   *B = 0;
2734   ierr = MatCreate(A->comm,A->m,A->n,A->m,A->n,&C);CHKERRQ(ierr);
2735   ierr = MatSetType(C,A->type_name);CHKERRQ(ierr);
2736   ierr = PetscMemcpy(C->ops,A->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
2737 
2738   c    = (Mat_SeqAIJ*)C->data;
2739 
2740   C->factor         = A->factor;
2741   c->row            = 0;
2742   c->col            = 0;
2743   c->icol           = 0;
2744   c->keepzeroedrows = a->keepzeroedrows;
2745   C->assembled      = PETSC_TRUE;
2746 
2747   C->M          = A->m;
2748   C->N          = A->n;
2749 
2750   ierr = PetscMalloc((m+1)*sizeof(PetscInt),&c->imax);CHKERRQ(ierr);
2751   ierr = PetscMalloc((m+1)*sizeof(PetscInt),&c->ilen);CHKERRQ(ierr);
2752   for (i=0; i<m; i++) {
2753     c->imax[i] = a->imax[i];
2754     c->ilen[i] = a->ilen[i];
2755   }
2756 
2757   /* allocate the matrix space */
2758   c->singlemalloc = PETSC_TRUE;
2759   len   = ((size_t) (m+1))*sizeof(PetscInt)+(a->i[m])*(sizeof(PetscScalar)+sizeof(PetscInt));
2760   ierr  = PetscMalloc(len,&c->a);CHKERRQ(ierr);
2761   c->j  = (PetscInt*)(c->a + a->i[m] );
2762   c->i  = c->j + a->i[m];
2763   ierr = PetscMemcpy(c->i,a->i,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
2764   if (m > 0) {
2765     ierr = PetscMemcpy(c->j,a->j,(a->i[m])*sizeof(PetscInt));CHKERRQ(ierr);
2766     if (cpvalues == MAT_COPY_VALUES) {
2767       ierr = PetscMemcpy(c->a,a->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
2768     } else {
2769       ierr = PetscMemzero(c->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
2770     }
2771   }
2772 
2773   PetscLogObjectMemory(C,len+2*(m+1)*sizeof(PetscInt)+sizeof(struct _p_Mat)+sizeof(Mat_SeqAIJ));
2774   c->sorted      = a->sorted;
2775   c->roworiented = a->roworiented;
2776   c->nonew       = a->nonew;
2777   c->ilu_preserve_row_sums = a->ilu_preserve_row_sums;
2778   c->saved_values = 0;
2779   c->idiag        = 0;
2780   c->ssor         = 0;
2781   c->ignorezeroentries = a->ignorezeroentries;
2782   c->freedata     = PETSC_TRUE;
2783 
2784   if (a->diag) {
2785     ierr = PetscMalloc((m+1)*sizeof(PetscInt),&c->diag);CHKERRQ(ierr);
2786     PetscLogObjectMemory(C,(m+1)*sizeof(PetscInt));
2787     for (i=0; i<m; i++) {
2788       c->diag[i] = a->diag[i];
2789     }
2790   } else c->diag        = 0;
2791   c->inode.use          = a->inode.use;
2792   c->inode.limit        = a->inode.limit;
2793   c->inode.max_limit    = a->inode.max_limit;
2794   if (a->inode.size){
2795     ierr                = PetscMalloc((m+1)*sizeof(PetscInt),&c->inode.size);CHKERRQ(ierr);
2796     c->inode.node_count = a->inode.node_count;
2797     ierr                = PetscMemcpy(c->inode.size,a->inode.size,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
2798   } else {
2799     c->inode.size       = 0;
2800     c->inode.node_count = 0;
2801   }
2802   c->nz                 = a->nz;
2803   c->maxnz              = a->maxnz;
2804   c->solve_work         = 0;
2805   C->preallocated       = PETSC_TRUE;
2806 
2807   *B = C;
2808   ierr = PetscFListDuplicate(A->qlist,&C->qlist);CHKERRQ(ierr);
2809   PetscFunctionReturn(0);
2810 }
2811 
2812 #undef __FUNCT__
2813 #define __FUNCT__ "MatLoad_SeqAIJ"
2814 PetscErrorCode MatLoad_SeqAIJ(PetscViewer viewer,const MatType type,Mat *A)
2815 {
2816   Mat_SeqAIJ     *a;
2817   Mat            B;
2818   PetscErrorCode ierr;
2819   PetscInt       i,nz,header[4],*rowlengths = 0,M,N;
2820   int            fd;
2821   PetscMPIInt    size;
2822   MPI_Comm       comm;
2823 
2824   PetscFunctionBegin;
2825   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
2826   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2827   if (size > 1) SETERRQ(PETSC_ERR_ARG_SIZ,"view must have one processor");
2828   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
2829   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
2830   if (header[0] != MAT_FILE_COOKIE) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"not matrix object in file");
2831   M = header[1]; N = header[2]; nz = header[3];
2832 
2833   if (nz < 0) {
2834     SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk,cannot load as SeqAIJ");
2835   }
2836 
2837   /* read in row lengths */
2838   ierr = PetscMalloc(M*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
2839   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
2840 
2841   /* create our matrix */
2842   ierr = MatCreate(comm,PETSC_DECIDE,PETSC_DECIDE,M,N,&B);CHKERRQ(ierr);
2843   ierr = MatSetType(B,type);CHKERRQ(ierr);
2844   ierr = MatSeqAIJSetPreallocation(B,0,rowlengths);CHKERRQ(ierr);
2845   a = (Mat_SeqAIJ*)B->data;
2846 
2847   /* read in column indices and adjust for Fortran indexing*/
2848   ierr = PetscBinaryRead(fd,a->j,nz,PETSC_INT);CHKERRQ(ierr);
2849 
2850   /* read in nonzero values */
2851   ierr = PetscBinaryRead(fd,a->a,nz,PETSC_SCALAR);CHKERRQ(ierr);
2852 
2853   /* set matrix "i" values */
2854   a->i[0] = 0;
2855   for (i=1; i<= M; i++) {
2856     a->i[i]      = a->i[i-1] + rowlengths[i-1];
2857     a->ilen[i-1] = rowlengths[i-1];
2858   }
2859   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
2860 
2861   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2862   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2863   *A = B;
2864   PetscFunctionReturn(0);
2865 }
2866 
2867 #undef __FUNCT__
2868 #define __FUNCT__ "MatEqual_SeqAIJ"
2869 PetscErrorCode MatEqual_SeqAIJ(Mat A,Mat B,PetscTruth* flg)
2870 {
2871   Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data,*b = (Mat_SeqAIJ *)B->data;
2872   PetscErrorCode ierr;
2873 
2874   PetscFunctionBegin;
2875   /* If the  matrix dimensions are not equal,or no of nonzeros */
2876   if ((A->m != B->m) || (A->n != B->n) ||(a->nz != b->nz)) {
2877     *flg = PETSC_FALSE;
2878     PetscFunctionReturn(0);
2879   }
2880 
2881   /* if the a->i are the same */
2882   ierr = PetscMemcmp(a->i,b->i,(A->m+1)*sizeof(PetscInt),flg);CHKERRQ(ierr);
2883   if (*flg == PETSC_FALSE) PetscFunctionReturn(0);
2884 
2885   /* if a->j are the same */
2886   ierr = PetscMemcmp(a->j,b->j,(a->nz)*sizeof(PetscInt),flg);CHKERRQ(ierr);
2887   if (*flg == PETSC_FALSE) PetscFunctionReturn(0);
2888 
2889   /* if a->a are the same */
2890   ierr = PetscMemcmp(a->a,b->a,(a->nz)*sizeof(PetscScalar),flg);CHKERRQ(ierr);
2891 
2892   PetscFunctionReturn(0);
2893 
2894 }
2895 
2896 #undef __FUNCT__
2897 #define __FUNCT__ "MatCreateSeqAIJWithArrays"
2898 /*@C
2899      MatCreateSeqAIJWithArrays - Creates an sequential AIJ matrix using matrix elements (in CSR format)
2900               provided by the user.
2901 
2902       Coolective on MPI_Comm
2903 
2904    Input Parameters:
2905 +   comm - must be an MPI communicator of size 1
2906 .   m - number of rows
2907 .   n - number of columns
2908 .   i - row indices
2909 .   j - column indices
2910 -   a - matrix values
2911 
2912    Output Parameter:
2913 .   mat - the matrix
2914 
2915    Level: intermediate
2916 
2917    Notes:
2918        The i, j, and a arrays are not copied by this routine, the user must free these arrays
2919     once the matrix is destroyed
2920 
2921        You cannot set new nonzero locations into this matrix, that will generate an error.
2922 
2923        The i and j indices are 0 based
2924 
2925 .seealso: MatCreate(), MatCreateMPIAIJ(), MatCreateSeqAIJ()
2926 
2927 @*/
2928 PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt* i,PetscInt*j,PetscScalar *a,Mat *mat)
2929 {
2930   PetscErrorCode ierr;
2931   PetscInt        ii;
2932   Mat_SeqAIJ *aij;
2933 
2934   PetscFunctionBegin;
2935   ierr = MatCreate(comm,m,n,m,n,mat);CHKERRQ(ierr);
2936   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
2937   ierr = MatSeqAIJSetPreallocation(*mat,SKIP_ALLOCATION,0);CHKERRQ(ierr);
2938   aij  = (Mat_SeqAIJ*)(*mat)->data;
2939 
2940   if (i[0] != 0) {
2941     SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
2942   }
2943   aij->i = i;
2944   aij->j = j;
2945   aij->a = a;
2946   aij->singlemalloc = PETSC_FALSE;
2947   aij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
2948   aij->freedata     = PETSC_FALSE;
2949 
2950   for (ii=0; ii<m; ii++) {
2951     aij->ilen[ii] = aij->imax[ii] = i[ii+1] - i[ii];
2952 #if defined(PETSC_USE_BOPT_g)
2953     if (i[ii+1] - i[ii] < 0) SETERRQ2(1,"Negative row length in i (row indices) row = %d length = %d",ii,i[ii+1] - i[ii]);
2954 #endif
2955   }
2956 #if defined(PETSC_USE_BOPT_g)
2957   for (ii=0; ii<aij->i[m]; ii++) {
2958     if (j[ii] < 0) SETERRQ2(1,"Negative column index at location = %d index = %d",ii,j[ii]);
2959     if (j[ii] > n - 1) SETERRQ2(1,"Column index to large at location = %d index = %d",ii,j[ii]);
2960   }
2961 #endif
2962 
2963   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2964   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2965   PetscFunctionReturn(0);
2966 }
2967 
2968 #undef __FUNCT__
2969 #define __FUNCT__ "MatSetColoring_SeqAIJ"
2970 PetscErrorCode MatSetColoring_SeqAIJ(Mat A,ISColoring coloring)
2971 {
2972   PetscErrorCode ierr;
2973   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2974 
2975   PetscFunctionBegin;
2976   if (coloring->ctype == IS_COLORING_LOCAL) {
2977     ierr        = ISColoringReference(coloring);CHKERRQ(ierr);
2978     a->coloring = coloring;
2979   } else if (coloring->ctype == IS_COLORING_GHOSTED) {
2980     PetscInt             i,*larray;
2981     ISColoring      ocoloring;
2982     ISColoringValue *colors;
2983 
2984     /* set coloring for diagonal portion */
2985     ierr = PetscMalloc((A->n+1)*sizeof(PetscInt),&larray);CHKERRQ(ierr);
2986     for (i=0; i<A->n; i++) {
2987       larray[i] = i;
2988     }
2989     ierr = ISGlobalToLocalMappingApply(A->mapping,IS_GTOLM_MASK,A->n,larray,PETSC_NULL,larray);CHKERRQ(ierr);
2990     ierr = PetscMalloc((A->n+1)*sizeof(ISColoringValue),&colors);CHKERRQ(ierr);
2991     for (i=0; i<A->n; i++) {
2992       colors[i] = coloring->colors[larray[i]];
2993     }
2994     ierr = PetscFree(larray);CHKERRQ(ierr);
2995     ierr = ISColoringCreate(PETSC_COMM_SELF,A->n,colors,&ocoloring);CHKERRQ(ierr);
2996     a->coloring = ocoloring;
2997   }
2998   PetscFunctionReturn(0);
2999 }
3000 
3001 #if defined(PETSC_HAVE_ADIC) && !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_SINGLE)
3002 EXTERN_C_BEGIN
3003 #include "adic/ad_utils.h"
3004 EXTERN_C_END
3005 
3006 #undef __FUNCT__
3007 #define __FUNCT__ "MatSetValuesAdic_SeqAIJ"
3008 PetscErrorCode MatSetValuesAdic_SeqAIJ(Mat A,void *advalues)
3009 {
3010   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
3011   PetscInt             m = A->m,*ii = a->i,*jj = a->j,nz,i,j,nlen;
3012   PetscScalar     *v = a->a,*values = ((PetscScalar*)advalues)+1;
3013   ISColoringValue *color;
3014 
3015   PetscFunctionBegin;
3016   if (!a->coloring) SETERRQ(1,"Coloring not set for matrix");
3017   nlen  = PetscADGetDerivTypeSize()/sizeof(PetscScalar);
3018   color = a->coloring->colors;
3019   /* loop over rows */
3020   for (i=0; i<m; i++) {
3021     nz = ii[i+1] - ii[i];
3022     /* loop over columns putting computed value into matrix */
3023     for (j=0; j<nz; j++) {
3024       *v++ = values[color[*jj++]];
3025     }
3026     values += nlen; /* jump to next row of derivatives */
3027   }
3028   PetscFunctionReturn(0);
3029 }
3030 
3031 #else
3032 
3033 #undef __FUNCT__
3034 #define __FUNCT__ "MatSetValuesAdic_SeqAIJ"
3035 PetscErrorCode MatSetValuesAdic_SeqAIJ(Mat A,void *advalues)
3036 {
3037   PetscFunctionBegin;
3038   SETERRQ(1,"PETSc installed without ADIC");
3039 }
3040 
3041 #endif
3042 
3043 #undef __FUNCT__
3044 #define __FUNCT__ "MatSetValuesAdifor_SeqAIJ"
3045 PetscErrorCode MatSetValuesAdifor_SeqAIJ(Mat A,PetscInt nl,void *advalues)
3046 {
3047   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
3048   PetscInt             m = A->m,*ii = a->i,*jj = a->j,nz,i,j;
3049   PetscScalar     *v = a->a,*values = (PetscScalar *)advalues;
3050   ISColoringValue *color;
3051 
3052   PetscFunctionBegin;
3053   if (!a->coloring) SETERRQ(1,"Coloring not set for matrix");
3054   color = a->coloring->colors;
3055   /* loop over rows */
3056   for (i=0; i<m; i++) {
3057     nz = ii[i+1] - ii[i];
3058     /* loop over columns putting computed value into matrix */
3059     for (j=0; j<nz; j++) {
3060       *v++ = values[color[*jj++]];
3061     }
3062     values += nl; /* jump to next row of derivatives */
3063   }
3064   PetscFunctionReturn(0);
3065 }
3066 
3067