xref: /petsc/src/mat/impls/aij/seq/aij.c (revision b4aec3be68831ef4d4391ce34ba4dde3a0092ee2)
1 /*$Id: aij.c,v 1.385 2001/09/07 20:09:22 bsmith Exp $*/
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 int MatGetRowIJ_SeqAIJ(Mat A,int oshift,PetscTruth symmetric,int *m,int *ia[],int *ja[],PetscTruth *done)
15 {
16   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
17   int        ierr,i,ishift;
18 
19   PetscFunctionBegin;
20   *m     = A->m;
21   if (!ia) PetscFunctionReturn(0);
22   ishift = 0;
23   if (symmetric && !A->structurally_symmetric) {
24     ierr = MatToSymmetricIJ_SeqAIJ(A->m,a->i,a->j,ishift,oshift,ia,ja);CHKERRQ(ierr);
25   } else if (oshift == 1) {
26     int nz = a->i[A->m];
27     /* malloc space and  add 1 to i and j indices */
28     ierr = PetscMalloc((A->m+1)*sizeof(int),ia);CHKERRQ(ierr);
29     ierr = PetscMalloc((nz+1)*sizeof(int),ja);CHKERRQ(ierr);
30     for (i=0; i<nz; i++) (*ja)[i] = a->j[i] + 1;
31     for (i=0; i<A->m+1; i++) (*ia)[i] = a->i[i] + 1;
32   } else {
33     *ia = a->i; *ja = a->j;
34   }
35   PetscFunctionReturn(0);
36 }
37 
38 #undef __FUNCT__
39 #define __FUNCT__ "MatRestoreRowIJ_SeqAIJ"
40 int MatRestoreRowIJ_SeqAIJ(Mat A,int oshift,PetscTruth symmetric,int *n,int *ia[],int *ja[],PetscTruth *done)
41 {
42   int ierr;
43 
44   PetscFunctionBegin;
45   if (!ia) PetscFunctionReturn(0);
46   if ((symmetric && !A->structurally_symmetric) || oshift == 1) {
47     ierr = PetscFree(*ia);CHKERRQ(ierr);
48     ierr = PetscFree(*ja);CHKERRQ(ierr);
49   }
50   PetscFunctionReturn(0);
51 }
52 
53 #undef __FUNCT__
54 #define __FUNCT__ "MatGetColumnIJ_SeqAIJ"
55 int MatGetColumnIJ_SeqAIJ(Mat A,int oshift,PetscTruth symmetric,int *nn,int *ia[],int *ja[],PetscTruth *done)
56 {
57   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
58   int        ierr,i,*collengths,*cia,*cja,n = A->n,m = A->m;
59   int        nz = a->i[m],row,*jj,mr,col;
60 
61   PetscFunctionBegin;
62   *nn     = A->n;
63   if (!ia) PetscFunctionReturn(0);
64   if (symmetric) {
65     ierr = MatToSymmetricIJ_SeqAIJ(A->m,a->i,a->j,0,oshift,ia,ja);CHKERRQ(ierr);
66   } else {
67     ierr = PetscMalloc((n+1)*sizeof(int),&collengths);CHKERRQ(ierr);
68     ierr = PetscMemzero(collengths,n*sizeof(int));CHKERRQ(ierr);
69     ierr = PetscMalloc((n+1)*sizeof(int),&cia);CHKERRQ(ierr);
70     ierr = PetscMalloc((nz+1)*sizeof(int),&cja);CHKERRQ(ierr);
71     jj = a->j;
72     for (i=0; i<nz; i++) {
73       collengths[jj[i]]++;
74     }
75     cia[0] = oshift;
76     for (i=0; i<n; i++) {
77       cia[i+1] = cia[i] + collengths[i];
78     }
79     ierr = PetscMemzero(collengths,n*sizeof(int));CHKERRQ(ierr);
80     jj   = a->j;
81     for (row=0; row<m; row++) {
82       mr = a->i[row+1] - a->i[row];
83       for (i=0; i<mr; i++) {
84         col = *jj++;
85         cja[cia[col] + collengths[col]++ - oshift] = row + oshift;
86       }
87     }
88     ierr = PetscFree(collengths);CHKERRQ(ierr);
89     *ia = cia; *ja = cja;
90   }
91   PetscFunctionReturn(0);
92 }
93 
94 #undef __FUNCT__
95 #define __FUNCT__ "MatRestoreColumnIJ_SeqAIJ"
96 int MatRestoreColumnIJ_SeqAIJ(Mat A,int oshift,PetscTruth symmetric,int *n,int *ia[],int *ja[],PetscTruth *done)
97 {
98   int ierr;
99 
100   PetscFunctionBegin;
101   if (!ia) PetscFunctionReturn(0);
102 
103   ierr = PetscFree(*ia);CHKERRQ(ierr);
104   ierr = PetscFree(*ja);CHKERRQ(ierr);
105 
106   PetscFunctionReturn(0);
107 }
108 
109 #define CHUNKSIZE   15
110 
111 #undef __FUNCT__
112 #define __FUNCT__ "MatSetValues_SeqAIJ"
113 int MatSetValues_SeqAIJ(Mat A,int m,const int im[],int n,const int in[],const PetscScalar v[],InsertMode is)
114 {
115   Mat_SeqAIJ  *a = (Mat_SeqAIJ*)A->data;
116   int         *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N,sorted = a->sorted;
117   int         *imax = a->imax,*ai = a->i,*ailen = a->ilen;
118   int         *aj = a->j,nonew = a->nonew,ierr;
119   PetscScalar *ap,value,*aa = a->a;
120   PetscTruth  ignorezeroentries = ((a->ignorezeroentries && is == ADD_VALUES) ? PETSC_TRUE:PETSC_FALSE);
121   PetscTruth  roworiented = a->roworiented;
122 
123   PetscFunctionBegin;
124   for (k=0; k<m; k++) { /* loop over added rows */
125     row  = im[k];
126     if (row < 0) continue;
127 #if defined(PETSC_USE_BOPT_g)
128     if (row >= A->m) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %d max %d",row,A->m-1);
129 #endif
130     rp   = aj + ai[row]; ap = aa + ai[row];
131     rmax = imax[row]; nrow = ailen[row];
132     low = 0;
133     for (l=0; l<n; l++) { /* loop over added columns */
134       if (in[l] < 0) continue;
135 #if defined(PETSC_USE_BOPT_g)
136       if (in[l] >= A->n) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %d max %d",in[l],A->n-1);
137 #endif
138       col = in[l];
139       if (roworiented) {
140         value = v[l + k*n];
141       } else {
142         value = v[k + l*m];
143       }
144       if (value == 0.0 && ignorezeroentries) continue;
145 
146       if (!sorted) low = 0; high = nrow;
147       while (high-low > 5) {
148         t = (low+high)/2;
149         if (rp[t] > col) high = t;
150         else             low  = t;
151       }
152       for (i=low; i<high; i++) {
153         if (rp[i] > col) break;
154         if (rp[i] == col) {
155           if (is == ADD_VALUES) ap[i] += value;
156           else                  ap[i] = value;
157           goto noinsert;
158         }
159       }
160       if (nonew == 1) goto noinsert;
161       else if (nonew == -1) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero at (%d,%d) in the matrix",row,col);
162       if (nrow >= rmax) {
163         /* there is no extra room in row, therefore enlarge */
164         int         new_nz = ai[A->m] + CHUNKSIZE,*new_i,*new_j;
165         size_t      len;
166         PetscScalar *new_a;
167 
168         if (nonew == -2) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero at (%d,%d) in the matrix requiring new malloc()",row,col);
169 
170         /* malloc new storage space */
171         len     = ((size_t) new_nz)*(sizeof(int)+sizeof(PetscScalar))+(A->m+1)*sizeof(int);
172 	ierr    = PetscMalloc(len,&new_a);CHKERRQ(ierr);
173         new_j   = (int*)(new_a + new_nz);
174         new_i   = new_j + new_nz;
175 
176         /* copy over old data into new slots */
177         for (ii=0; ii<row+1; ii++) {new_i[ii] = ai[ii];}
178         for (ii=row+1; ii<A->m+1; ii++) {new_i[ii] = ai[ii]+CHUNKSIZE;}
179         ierr = PetscMemcpy(new_j,aj,(ai[row]+nrow)*sizeof(int));CHKERRQ(ierr);
180         len  = (((size_t) new_nz) - CHUNKSIZE - ai[row] - nrow );
181         ierr = PetscMemcpy(new_j+ai[row]+nrow+CHUNKSIZE,aj+ai[row]+nrow,len*sizeof(int));CHKERRQ(ierr);
182         ierr = PetscMemcpy(new_a,aa,(((size_t) ai[row])+nrow)*sizeof(PetscScalar));CHKERRQ(ierr);
183         ierr = PetscMemcpy(new_a+ai[row]+nrow+CHUNKSIZE,aa+ai[row]+nrow,len*sizeof(PetscScalar));CHKERRQ(ierr);
184         /* free up old matrix storage */
185         ierr = PetscFree(a->a);CHKERRQ(ierr);
186         if (!a->singlemalloc) {
187           ierr = PetscFree(a->i);CHKERRQ(ierr);
188           ierr = PetscFree(a->j);CHKERRQ(ierr);
189         }
190         aa = a->a = new_a; ai = a->i = new_i; aj = a->j = new_j;
191         a->singlemalloc = PETSC_TRUE;
192 
193         rp   = aj + ai[row]; ap = aa + ai[row] ;
194         rmax = imax[row] = imax[row] + CHUNKSIZE;
195         PetscLogObjectMemory(A,CHUNKSIZE*(sizeof(int) + sizeof(PetscScalar)));
196         a->maxnz += CHUNKSIZE;
197         a->reallocs++;
198       }
199       N = nrow++ - 1; a->nz++;
200       /* shift up all the later entries in this row */
201       for (ii=N; ii>=i; ii--) {
202         rp[ii+1] = rp[ii];
203         ap[ii+1] = ap[ii];
204       }
205       rp[i] = col;
206       ap[i] = value;
207       noinsert:;
208       low = i + 1;
209     }
210     ailen[row] = nrow;
211   }
212   PetscFunctionReturn(0);
213 }
214 
215 #undef __FUNCT__
216 #define __FUNCT__ "MatGetValues_SeqAIJ"
217 int MatGetValues_SeqAIJ(Mat A,int m,const int im[],int n,const int in[],PetscScalar v[])
218 {
219   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data;
220   int          *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
221   int          *ai = a->i,*ailen = a->ilen;
222   PetscScalar  *ap,*aa = a->a,zero = 0.0;
223 
224   PetscFunctionBegin;
225   for (k=0; k<m; k++) { /* loop over rows */
226     row  = im[k];
227     if (row < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %d",row);
228     if (row >= A->m) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %d max %d",row,A->m-1);
229     rp   = aj + ai[row]; ap = aa + ai[row];
230     nrow = ailen[row];
231     for (l=0; l<n; l++) { /* loop over columns */
232       if (in[l] < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Negative column: %d",in[l]);
233       if (in[l] >= A->n) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %d max %d",in[l],A->n-1);
234       col = in[l] ;
235       high = nrow; low = 0; /* assume unsorted */
236       while (high-low > 5) {
237         t = (low+high)/2;
238         if (rp[t] > col) high = t;
239         else             low  = t;
240       }
241       for (i=low; i<high; i++) {
242         if (rp[i] > col) break;
243         if (rp[i] == col) {
244           *v++ = ap[i];
245           goto finished;
246         }
247       }
248       *v++ = zero;
249       finished:;
250     }
251   }
252   PetscFunctionReturn(0);
253 }
254 
255 
256 #undef __FUNCT__
257 #define __FUNCT__ "MatView_SeqAIJ_Binary"
258 int MatView_SeqAIJ_Binary(Mat A,PetscViewer viewer)
259 {
260   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
261   int        i,fd,*col_lens,ierr;
262 
263   PetscFunctionBegin;
264   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
265   ierr = PetscMalloc((4+A->m)*sizeof(int),&col_lens);CHKERRQ(ierr);
266   col_lens[0] = MAT_FILE_COOKIE;
267   col_lens[1] = A->m;
268   col_lens[2] = A->n;
269   col_lens[3] = a->nz;
270 
271   /* store lengths of each row and write (including header) to file */
272   for (i=0; i<A->m; i++) {
273     col_lens[4+i] = a->i[i+1] - a->i[i];
274   }
275   ierr = PetscBinaryWrite(fd,col_lens,4+A->m,PETSC_INT,1);CHKERRQ(ierr);
276   ierr = PetscFree(col_lens);CHKERRQ(ierr);
277 
278   /* store column indices (zero start index) */
279   ierr = PetscBinaryWrite(fd,a->j,a->nz,PETSC_INT,0);CHKERRQ(ierr);
280 
281   /* store nonzero values */
282   ierr = PetscBinaryWrite(fd,a->a,a->nz,PETSC_SCALAR,0);CHKERRQ(ierr);
283   PetscFunctionReturn(0);
284 }
285 
286 extern int MatSeqAIJFactorInfo_Matlab(Mat,PetscViewer);
287 
288 #undef __FUNCT__
289 #define __FUNCT__ "MatView_SeqAIJ_ASCII"
290 int MatView_SeqAIJ_ASCII(Mat A,PetscViewer viewer)
291 {
292   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
293   int               ierr,i,j,m = A->m,shift=0;
294   char              *name;
295   PetscViewerFormat format;
296 
297   PetscFunctionBegin;
298   ierr = PetscObjectGetName((PetscObject)A,&name);CHKERRQ(ierr);
299   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
300   if (format == PETSC_VIEWER_ASCII_INFO_DETAIL || format == PETSC_VIEWER_ASCII_INFO) {
301     if (a->inode.size) {
302       ierr = PetscViewerASCIIPrintf(viewer,"using I-node routines: found %d nodes, limit used is %d\n",a->inode.node_count,a->inode.limit);CHKERRQ(ierr);
303     } else {
304       ierr = PetscViewerASCIIPrintf(viewer,"not using I-node routines\n");CHKERRQ(ierr);
305     }
306   } else if (format == PETSC_VIEWER_ASCII_MATLAB) {
307     int nofinalvalue = 0;
308     if ((a->i[m] == a->i[m-1]) || (a->j[a->nz-1] != A->n-!shift)) {
309       nofinalvalue = 1;
310     }
311     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
312     ierr = PetscViewerASCIIPrintf(viewer,"%% Size = %d %d \n",m,A->n);CHKERRQ(ierr);
313     ierr = PetscViewerASCIIPrintf(viewer,"%% Nonzeros = %d \n",a->nz);CHKERRQ(ierr);
314     ierr = PetscViewerASCIIPrintf(viewer,"zzz = zeros(%d,3);\n",a->nz+nofinalvalue);CHKERRQ(ierr);
315     ierr = PetscViewerASCIIPrintf(viewer,"zzz = [\n");CHKERRQ(ierr);
316 
317     for (i=0; i<m; i++) {
318       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
319 #if defined(PETSC_USE_COMPLEX)
320         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);
321 #else
322         ierr = PetscViewerASCIIPrintf(viewer,"%d %d  %18.16e\n",i+1,a->j[j]+!shift,a->a[j]);CHKERRQ(ierr);
323 #endif
324       }
325     }
326     if (nofinalvalue) {
327       ierr = PetscViewerASCIIPrintf(viewer,"%d %d  %18.16e\n",m,A->n,0.0);CHKERRQ(ierr);
328     }
329     ierr = PetscViewerASCIIPrintf(viewer,"];\n %s = spconvert(zzz);\n",name);CHKERRQ(ierr);
330     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
331   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
332      PetscFunctionReturn(0);
333   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
334     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
335     for (i=0; i<m; i++) {
336       ierr = PetscViewerASCIIPrintf(viewer,"row %d:",i);CHKERRQ(ierr);
337       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
338 #if defined(PETSC_USE_COMPLEX)
339         if (PetscImaginaryPart(a->a[j]) > 0.0 && PetscRealPart(a->a[j]) != 0.0) {
340           ierr = PetscViewerASCIIPrintf(viewer," (%d, %g + %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
341         } else if (PetscImaginaryPart(a->a[j]) < 0.0 && PetscRealPart(a->a[j]) != 0.0) {
342           ierr = PetscViewerASCIIPrintf(viewer," (%d, %g - %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
343         } else if (PetscRealPart(a->a[j]) != 0.0) {
344           ierr = PetscViewerASCIIPrintf(viewer," (%d, %g) ",a->j[j]+shift,PetscRealPart(a->a[j]));CHKERRQ(ierr);
345         }
346 #else
347         if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," (%d, %g) ",a->j[j]+shift,a->a[j]);CHKERRQ(ierr);}
348 #endif
349       }
350       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
351     }
352     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
353   } else if (format == PETSC_VIEWER_ASCII_SYMMODU) {
354     int nzd=0,fshift=1,*sptr;
355     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
356     ierr = PetscMalloc((m+1)*sizeof(int),&sptr);CHKERRQ(ierr);
357     for (i=0; i<m; i++) {
358       sptr[i] = nzd+1;
359       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
360         if (a->j[j] >= i) {
361 #if defined(PETSC_USE_COMPLEX)
362           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) nzd++;
363 #else
364           if (a->a[j] != 0.0) nzd++;
365 #endif
366         }
367       }
368     }
369     sptr[m] = nzd+1;
370     ierr = PetscViewerASCIIPrintf(viewer," %d %d\n\n",m,nzd);CHKERRQ(ierr);
371     for (i=0; i<m+1; i+=6) {
372       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);}
373       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);}
374       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);}
375       else if (i+1<m) {ierr = PetscViewerASCIIPrintf(viewer," %d %d %d\n",sptr[i],sptr[i+1],sptr[i+2]);CHKERRQ(ierr);}
376       else if (i<m)   {ierr = PetscViewerASCIIPrintf(viewer," %d %d\n",sptr[i],sptr[i+1]);CHKERRQ(ierr);}
377       else            {ierr = PetscViewerASCIIPrintf(viewer," %d\n",sptr[i]);CHKERRQ(ierr);}
378     }
379     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
380     ierr = PetscFree(sptr);CHKERRQ(ierr);
381     for (i=0; i<m; i++) {
382       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
383         if (a->j[j] >= i) {ierr = PetscViewerASCIIPrintf(viewer," %d ",a->j[j]+fshift);CHKERRQ(ierr);}
384       }
385       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
386     }
387     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
388     for (i=0; i<m; i++) {
389       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
390         if (a->j[j] >= i) {
391 #if defined(PETSC_USE_COMPLEX)
392           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) {
393             ierr = PetscViewerASCIIPrintf(viewer," %18.16e %18.16e ",PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
394           }
395 #else
396           if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," %18.16e ",a->a[j]);CHKERRQ(ierr);}
397 #endif
398         }
399       }
400       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
401     }
402     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
403   } else if (format == PETSC_VIEWER_ASCII_DENSE) {
404     int         cnt = 0,jcnt;
405     PetscScalar value;
406 
407     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
408     for (i=0; i<m; i++) {
409       jcnt = 0;
410       for (j=0; j<A->n; j++) {
411         if (jcnt < a->i[i+1]-a->i[i] && j == a->j[cnt]) {
412           value = a->a[cnt++];
413           jcnt++;
414         } else {
415           value = 0.0;
416         }
417 #if defined(PETSC_USE_COMPLEX)
418         ierr = PetscViewerASCIIPrintf(viewer," %7.5e+%7.5e i ",PetscRealPart(value),PetscImaginaryPart(value));CHKERRQ(ierr);
419 #else
420         ierr = PetscViewerASCIIPrintf(viewer," %7.5e ",value);CHKERRQ(ierr);
421 #endif
422       }
423       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
424     }
425     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
426   } else {
427     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
428     for (i=0; i<m; i++) {
429       ierr = PetscViewerASCIIPrintf(viewer,"row %d:",i);CHKERRQ(ierr);
430       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
431 #if defined(PETSC_USE_COMPLEX)
432         if (PetscImaginaryPart(a->a[j]) > 0.0) {
433           ierr = PetscViewerASCIIPrintf(viewer," (%d, %g + %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
434         } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
435           ierr = PetscViewerASCIIPrintf(viewer," (%d, %g - %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
436         } else {
437           ierr = PetscViewerASCIIPrintf(viewer," (%d, %g) ",a->j[j]+shift,PetscRealPart(a->a[j]));CHKERRQ(ierr);
438         }
439 #else
440         ierr = PetscViewerASCIIPrintf(viewer," (%d, %g) ",a->j[j]+shift,a->a[j]);CHKERRQ(ierr);
441 #endif
442       }
443       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
444     }
445     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
446   }
447   ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
448   PetscFunctionReturn(0);
449 }
450 
451 #undef __FUNCT__
452 #define __FUNCT__ "MatView_SeqAIJ_Draw_Zoom"
453 int MatView_SeqAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
454 {
455   Mat               A = (Mat) Aa;
456   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
457   int               ierr,i,j,m = A->m,color;
458   PetscReal         xl,yl,xr,yr,x_l,x_r,y_l,y_r,maxv = 0.0;
459   PetscViewer       viewer;
460   PetscViewerFormat format;
461 
462   PetscFunctionBegin;
463   ierr = PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer);CHKERRQ(ierr);
464   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
465 
466   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
467   /* loop over matrix elements drawing boxes */
468 
469   if (format != PETSC_VIEWER_DRAW_CONTOUR) {
470     /* Blue for negative, Cyan for zero and  Red for positive */
471     color = PETSC_DRAW_BLUE;
472     for (i=0; i<m; i++) {
473       y_l = m - i - 1.0; y_r = y_l + 1.0;
474       for (j=a->i[i]; j<a->i[i+1]; j++) {
475         x_l = a->j[j] ; x_r = x_l + 1.0;
476 #if defined(PETSC_USE_COMPLEX)
477         if (PetscRealPart(a->a[j]) >=  0.) continue;
478 #else
479         if (a->a[j] >=  0.) continue;
480 #endif
481         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
482       }
483     }
484     color = PETSC_DRAW_CYAN;
485     for (i=0; i<m; i++) {
486       y_l = m - i - 1.0; y_r = y_l + 1.0;
487       for (j=a->i[i]; j<a->i[i+1]; j++) {
488         x_l = a->j[j]; x_r = x_l + 1.0;
489         if (a->a[j] !=  0.) continue;
490         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
491       }
492     }
493     color = PETSC_DRAW_RED;
494     for (i=0; i<m; i++) {
495       y_l = m - i - 1.0; y_r = y_l + 1.0;
496       for (j=a->i[i]; j<a->i[i+1]; j++) {
497         x_l = a->j[j]; x_r = x_l + 1.0;
498 #if defined(PETSC_USE_COMPLEX)
499         if (PetscRealPart(a->a[j]) <=  0.) continue;
500 #else
501         if (a->a[j] <=  0.) continue;
502 #endif
503         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
504       }
505     }
506   } else {
507     /* use contour shading to indicate magnitude of values */
508     /* first determine max of all nonzero values */
509     int    nz = a->nz,count;
510     PetscDraw   popup;
511     PetscReal scale;
512 
513     for (i=0; i<nz; i++) {
514       if (PetscAbsScalar(a->a[i]) > maxv) maxv = PetscAbsScalar(a->a[i]);
515     }
516     scale = (245.0 - PETSC_DRAW_BASIC_COLORS)/maxv;
517     ierr  = PetscDrawGetPopup(draw,&popup);CHKERRQ(ierr);
518     if (popup) {ierr  = PetscDrawScalePopup(popup,0.0,maxv);CHKERRQ(ierr);}
519     count = 0;
520     for (i=0; i<m; i++) {
521       y_l = m - i - 1.0; y_r = y_l + 1.0;
522       for (j=a->i[i]; j<a->i[i+1]; j++) {
523         x_l = a->j[j]; x_r = x_l + 1.0;
524         color = PETSC_DRAW_BASIC_COLORS + (int)(scale*PetscAbsScalar(a->a[count]));
525         ierr  = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
526         count++;
527       }
528     }
529   }
530   PetscFunctionReturn(0);
531 }
532 
533 #undef __FUNCT__
534 #define __FUNCT__ "MatView_SeqAIJ_Draw"
535 int MatView_SeqAIJ_Draw(Mat A,PetscViewer viewer)
536 {
537   int        ierr;
538   PetscDraw  draw;
539   PetscReal  xr,yr,xl,yl,h,w;
540   PetscTruth isnull;
541 
542   PetscFunctionBegin;
543   ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
544   ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr);
545   if (isnull) PetscFunctionReturn(0);
546 
547   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer);CHKERRQ(ierr);
548   xr  = A->n; yr = A->m; h = yr/10.0; w = xr/10.0;
549   xr += w;    yr += h;  xl = -w;     yl = -h;
550   ierr = PetscDrawSetCoordinates(draw,xl,yl,xr,yr);CHKERRQ(ierr);
551   ierr = PetscDrawZoom(draw,MatView_SeqAIJ_Draw_Zoom,A);CHKERRQ(ierr);
552   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",PETSC_NULL);CHKERRQ(ierr);
553   PetscFunctionReturn(0);
554 }
555 
556 #undef __FUNCT__
557 #define __FUNCT__ "MatView_SeqAIJ"
558 int MatView_SeqAIJ(Mat A,PetscViewer viewer)
559 {
560   Mat_SeqAIJ  *a = (Mat_SeqAIJ*)A->data;
561   int         ierr;
562   PetscTruth  issocket,isascii,isbinary,isdraw;
563 
564   PetscFunctionBegin;
565   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_SOCKET,&issocket);CHKERRQ(ierr);
566   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&isascii);CHKERRQ(ierr);
567   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_BINARY,&isbinary);CHKERRQ(ierr);
568   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_DRAW,&isdraw);CHKERRQ(ierr);
569   if (issocket) {
570     ierr = PetscViewerSocketPutSparse_Private(viewer,A->m,A->n,a->nz,a->a,a->i,a->j);CHKERRQ(ierr);
571   } else if (isascii) {
572     ierr = MatView_SeqAIJ_ASCII(A,viewer);CHKERRQ(ierr);
573   } else if (isbinary) {
574     ierr = MatView_SeqAIJ_Binary(A,viewer);CHKERRQ(ierr);
575   } else if (isdraw) {
576     ierr = MatView_SeqAIJ_Draw(A,viewer);CHKERRQ(ierr);
577   } else {
578     SETERRQ1(1,"Viewer type %s not supported by SeqAIJ matrices",((PetscObject)viewer)->type_name);
579   }
580   PetscFunctionReturn(0);
581 }
582 
583 #undef __FUNCT__
584 #define __FUNCT__ "MatAssemblyEnd_SeqAIJ"
585 int MatAssemblyEnd_SeqAIJ(Mat A,MatAssemblyType mode)
586 {
587   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data;
588   int          fshift = 0,i,j,*ai = a->i,*aj = a->j,*imax = a->imax,ierr;
589   int          m = A->m,*ip,N,*ailen = a->ilen,rmax = 0;
590   PetscScalar  *aa = a->a,*ap;
591 
592   PetscFunctionBegin;
593   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
594 
595   if (m) rmax = ailen[0]; /* determine row with most nonzeros */
596   for (i=1; i<m; i++) {
597     /* move each row back by the amount of empty slots (fshift) before it*/
598     fshift += imax[i-1] - ailen[i-1];
599     rmax   = PetscMax(rmax,ailen[i]);
600     if (fshift) {
601       ip = aj + ai[i] ;
602       ap = aa + ai[i] ;
603       N  = ailen[i];
604       for (j=0; j<N; j++) {
605         ip[j-fshift] = ip[j];
606         ap[j-fshift] = ap[j];
607       }
608     }
609     ai[i] = ai[i-1] + ailen[i-1];
610   }
611   if (m) {
612     fshift += imax[m-1] - ailen[m-1];
613     ai[m]  = ai[m-1] + ailen[m-1];
614   }
615   /* reset ilen and imax for each row */
616   for (i=0; i<m; i++) {
617     ailen[i] = imax[i] = ai[i+1] - ai[i];
618   }
619   a->nz = ai[m];
620 
621   /* diagonals may have moved, so kill the diagonal pointers */
622   if (fshift && a->diag) {
623     ierr = PetscFree(a->diag);CHKERRQ(ierr);
624     PetscLogObjectMemory(A,-(m+1)*sizeof(int));
625     a->diag = 0;
626   }
627   PetscLogInfo(A,"MatAssemblyEnd_SeqAIJ:Matrix size: %d X %d; storage space: %d unneeded,%d used\n",m,A->n,fshift,a->nz);
628   PetscLogInfo(A,"MatAssemblyEnd_SeqAIJ:Number of mallocs during MatSetValues() is %d\n",a->reallocs);
629   PetscLogInfo(A,"MatAssemblyEnd_SeqAIJ:Most nonzeros in any row is %d\n",rmax);
630   a->reallocs          = 0;
631   A->info.nz_unneeded  = (double)fshift;
632   a->rmax              = rmax;
633 
634   /* check out for identical nodes. If found, use inode functions */
635   ierr = Mat_AIJ_CheckInode(A,(PetscTruth)(!fshift));CHKERRQ(ierr);
636 
637   PetscFunctionReturn(0);
638 }
639 
640 #undef __FUNCT__
641 #define __FUNCT__ "MatZeroEntries_SeqAIJ"
642 int MatZeroEntries_SeqAIJ(Mat A)
643 {
644   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
645   int        ierr;
646 
647   PetscFunctionBegin;
648   ierr = PetscMemzero(a->a,(a->i[A->m])*sizeof(PetscScalar));CHKERRQ(ierr);
649   PetscFunctionReturn(0);
650 }
651 
652 #undef __FUNCT__
653 #define __FUNCT__ "MatDestroy_SeqAIJ"
654 int MatDestroy_SeqAIJ(Mat A)
655 {
656   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
657   int        ierr;
658 
659   PetscFunctionBegin;
660 #if defined(PETSC_USE_LOG)
661   PetscLogObjectState((PetscObject)A,"Rows=%d, Cols=%d, NZ=%d",A->m,A->n,a->nz);
662 #endif
663   if (a->freedata) {
664     ierr = PetscFree(a->a);CHKERRQ(ierr);
665     if (!a->singlemalloc) {
666       ierr = PetscFree(a->i);CHKERRQ(ierr);
667       ierr = PetscFree(a->j);CHKERRQ(ierr);
668     }
669   }
670   if (a->row) {
671     ierr = ISDestroy(a->row);CHKERRQ(ierr);
672   }
673   if (a->col) {
674     ierr = ISDestroy(a->col);CHKERRQ(ierr);
675   }
676   if (a->diag) {ierr = PetscFree(a->diag);CHKERRQ(ierr);}
677   if (a->ilen) {ierr = PetscFree(a->ilen);CHKERRQ(ierr);}
678   if (a->imax) {ierr = PetscFree(a->imax);CHKERRQ(ierr);}
679   if (a->idiag) {ierr = PetscFree(a->idiag);CHKERRQ(ierr);}
680   if (a->solve_work) {ierr = PetscFree(a->solve_work);CHKERRQ(ierr);}
681   if (a->inode.size) {ierr = PetscFree(a->inode.size);CHKERRQ(ierr);}
682   if (a->icol) {ierr = ISDestroy(a->icol);CHKERRQ(ierr);}
683   if (a->saved_values) {ierr = PetscFree(a->saved_values);CHKERRQ(ierr);}
684   if (a->coloring) {ierr = ISColoringDestroy(a->coloring);CHKERRQ(ierr);}
685   if (a->xtoy) {ierr = PetscFree(a->xtoy);CHKERRQ(ierr);}
686 
687   ierr = PetscFree(a);CHKERRQ(ierr);
688   PetscFunctionReturn(0);
689 }
690 
691 #undef __FUNCT__
692 #define __FUNCT__ "MatCompress_SeqAIJ"
693 int MatCompress_SeqAIJ(Mat A)
694 {
695   PetscFunctionBegin;
696   PetscFunctionReturn(0);
697 }
698 
699 #undef __FUNCT__
700 #define __FUNCT__ "MatSetOption_SeqAIJ"
701 int MatSetOption_SeqAIJ(Mat A,MatOption op)
702 {
703   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
704 
705   PetscFunctionBegin;
706   switch (op) {
707     case MAT_ROW_ORIENTED:
708       a->roworiented       = PETSC_TRUE;
709       break;
710     case MAT_KEEP_ZEROED_ROWS:
711       a->keepzeroedrows    = PETSC_TRUE;
712       break;
713     case MAT_COLUMN_ORIENTED:
714       a->roworiented       = PETSC_FALSE;
715       break;
716     case MAT_COLUMNS_SORTED:
717       a->sorted            = PETSC_TRUE;
718       break;
719     case MAT_COLUMNS_UNSORTED:
720       a->sorted            = PETSC_FALSE;
721       break;
722     case MAT_NO_NEW_NONZERO_LOCATIONS:
723       a->nonew             = 1;
724       break;
725     case MAT_NEW_NONZERO_LOCATION_ERR:
726       a->nonew             = -1;
727       break;
728     case MAT_NEW_NONZERO_ALLOCATION_ERR:
729       a->nonew             = -2;
730       break;
731     case MAT_YES_NEW_NONZERO_LOCATIONS:
732       a->nonew             = 0;
733       break;
734     case MAT_IGNORE_ZERO_ENTRIES:
735       a->ignorezeroentries = PETSC_TRUE;
736       break;
737     case MAT_USE_INODES:
738       a->inode.use         = PETSC_TRUE;
739       break;
740     case MAT_DO_NOT_USE_INODES:
741       a->inode.use         = PETSC_FALSE;
742       break;
743     case MAT_ROWS_SORTED:
744     case MAT_ROWS_UNSORTED:
745     case MAT_YES_NEW_DIAGONALS:
746     case MAT_IGNORE_OFF_PROC_ENTRIES:
747     case MAT_USE_HASH_TABLE:
748       PetscLogInfo(A,"MatSetOption_SeqAIJ:Option ignored\n");
749       break;
750     case MAT_NO_NEW_DIAGONALS:
751       SETERRQ(PETSC_ERR_SUP,"MAT_NO_NEW_DIAGONALS");
752     case MAT_INODE_LIMIT_1:
753       a->inode.limit  = 1;
754       break;
755     case MAT_INODE_LIMIT_2:
756       a->inode.limit  = 2;
757       break;
758     case MAT_INODE_LIMIT_3:
759       a->inode.limit  = 3;
760       break;
761     case MAT_INODE_LIMIT_4:
762       a->inode.limit  = 4;
763       break;
764     case MAT_INODE_LIMIT_5:
765       a->inode.limit  = 5;
766       break;
767     case MAT_SYMMETRIC:
768     case MAT_STRUCTURALLY_SYMMETRIC:
769     case MAT_NOT_SYMMETRIC:
770     case MAT_NOT_STRUCTURALLY_SYMMETRIC:
771     case MAT_HERMITIAN:
772     case MAT_NOT_HERMITIAN:
773     case MAT_SYMMETRY_ETERNAL:
774     case MAT_NOT_SYMMETRY_ETERNAL:
775       break;
776     default:
777       SETERRQ(PETSC_ERR_SUP,"unknown option");
778   }
779   PetscFunctionReturn(0);
780 }
781 
782 #undef __FUNCT__
783 #define __FUNCT__ "MatGetDiagonal_SeqAIJ"
784 int MatGetDiagonal_SeqAIJ(Mat A,Vec v)
785 {
786   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data;
787   int          i,j,n,ierr;
788   PetscScalar  *x,zero = 0.0;
789 
790   PetscFunctionBegin;
791   ierr = VecSet(&zero,v);CHKERRQ(ierr);
792   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
793   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
794   if (n != A->m) SETERRQ(PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
795   for (i=0; i<A->m; i++) {
796     for (j=a->i[i]; j<a->i[i+1]; j++) {
797       if (a->j[j] == i) {
798         x[i] = a->a[j];
799         break;
800       }
801     }
802   }
803   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
804   PetscFunctionReturn(0);
805 }
806 
807 
808 #undef __FUNCT__
809 #define __FUNCT__ "MatMultTransposeAdd_SeqAIJ"
810 int MatMultTransposeAdd_SeqAIJ(Mat A,Vec xx,Vec zz,Vec yy)
811 {
812   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data;
813   PetscScalar  *x,*y;
814   int          ierr,m = A->m;
815 #if !defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
816   PetscScalar  *v,alpha;
817   int          n,i,*idx;
818 #endif
819 
820   PetscFunctionBegin;
821   if (zz != yy) {ierr = VecCopy(zz,yy);CHKERRQ(ierr);}
822   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
823   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
824 
825 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
826   fortranmulttransposeaddaij_(&m,x,a->i,a->j,a->a,y);
827 #else
828   for (i=0; i<m; i++) {
829     idx   = a->j + a->i[i] ;
830     v     = a->a + a->i[i] ;
831     n     = a->i[i+1] - a->i[i];
832     alpha = x[i];
833     while (n-->0) {y[*idx++] += alpha * *v++;}
834   }
835 #endif
836   PetscLogFlops(2*a->nz);
837   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
838   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
839   PetscFunctionReturn(0);
840 }
841 
842 #undef __FUNCT__
843 #define __FUNCT__ "MatMultTranspose_SeqAIJ"
844 int MatMultTranspose_SeqAIJ(Mat A,Vec xx,Vec yy)
845 {
846   PetscScalar  zero = 0.0;
847   int          ierr;
848 
849   PetscFunctionBegin;
850   ierr = VecSet(&zero,yy);CHKERRQ(ierr);
851   ierr = MatMultTransposeAdd_SeqAIJ(A,xx,yy,yy);CHKERRQ(ierr);
852   PetscFunctionReturn(0);
853 }
854 
855 
856 #undef __FUNCT__
857 #define __FUNCT__ "MatMult_SeqAIJ"
858 int MatMult_SeqAIJ(Mat A,Vec xx,Vec yy)
859 {
860   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data;
861   PetscScalar  *x,*y,*v;
862   int          ierr,m = A->m,*idx,*ii;
863 #if !defined(PETSC_USE_FORTRAN_KERNEL_MULTAIJ)
864   int          n,i,jrow,j;
865   PetscScalar  sum;
866 #endif
867 
868 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
869 #pragma disjoint(*x,*y,*v)
870 #endif
871 
872   PetscFunctionBegin;
873   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
874   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
875   idx  = a->j;
876   v    = a->a;
877   ii   = a->i;
878 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTAIJ)
879   fortranmultaij_(&m,x,ii,idx,v,y);
880 #else
881   for (i=0; i<m; i++) {
882     jrow = ii[i];
883     n    = ii[i+1] - jrow;
884     sum  = 0.0;
885     for (j=0; j<n; j++) {
886       sum += v[jrow]*x[idx[jrow]]; jrow++;
887      }
888     y[i] = sum;
889   }
890 #endif
891   PetscLogFlops(2*a->nz - m);
892   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
893   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
894   PetscFunctionReturn(0);
895 }
896 
897 #undef __FUNCT__
898 #define __FUNCT__ "MatMultAdd_SeqAIJ"
899 int MatMultAdd_SeqAIJ(Mat A,Vec xx,Vec yy,Vec zz)
900 {
901   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data;
902   PetscScalar  *x,*y,*z,*v;
903   int          ierr,m = A->m,*idx,*ii;
904 #if !defined(PETSC_USE_FORTRAN_KERNEL_MULTADDAIJ)
905   int          n,i,jrow,j;
906 PetscScalar    sum;
907 #endif
908 
909   PetscFunctionBegin;
910   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
911   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
912   if (zz != yy) {
913     ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
914   } else {
915     z = y;
916   }
917 
918   idx  = a->j;
919   v    = a->a;
920   ii   = a->i;
921 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTADDAIJ)
922   fortranmultaddaij_(&m,x,ii,idx,v,y,z);
923 #else
924   for (i=0; i<m; i++) {
925     jrow = ii[i];
926     n    = ii[i+1] - jrow;
927     sum  = y[i];
928     for (j=0; j<n; j++) {
929       sum += v[jrow]*x[idx[jrow]]; jrow++;
930      }
931     z[i] = sum;
932   }
933 #endif
934   PetscLogFlops(2*a->nz);
935   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
936   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
937   if (zz != yy) {
938     ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
939   }
940   PetscFunctionReturn(0);
941 }
942 
943 /*
944      Adds diagonal pointers to sparse matrix structure.
945 */
946 #undef __FUNCT__
947 #define __FUNCT__ "MatMarkDiagonal_SeqAIJ"
948 int MatMarkDiagonal_SeqAIJ(Mat A)
949 {
950   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
951   int        i,j,*diag,m = A->m,ierr;
952 
953   PetscFunctionBegin;
954   if (a->diag) PetscFunctionReturn(0);
955 
956   ierr = PetscMalloc((m+1)*sizeof(int),&diag);CHKERRQ(ierr);
957   PetscLogObjectMemory(A,(m+1)*sizeof(int));
958   for (i=0; i<A->m; i++) {
959     diag[i] = a->i[i+1];
960     for (j=a->i[i]; j<a->i[i+1]; j++) {
961       if (a->j[j] == i) {
962         diag[i] = j;
963         break;
964       }
965     }
966   }
967   a->diag = diag;
968   PetscFunctionReturn(0);
969 }
970 
971 /*
972      Checks for missing diagonals
973 */
974 #undef __FUNCT__
975 #define __FUNCT__ "MatMissingDiagonal_SeqAIJ"
976 int MatMissingDiagonal_SeqAIJ(Mat A)
977 {
978   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
979   int        *diag,*jj = a->j,i,ierr;
980 
981   PetscFunctionBegin;
982   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
983   diag = a->diag;
984   for (i=0; i<A->m; i++) {
985     if (jj[diag[i]] != i) {
986       SETERRQ1(1,"Matrix is missing diagonal number %d",i);
987     }
988   }
989   PetscFunctionReturn(0);
990 }
991 
992 #undef __FUNCT__
993 #define __FUNCT__ "MatRelax_SeqAIJ"
994 int MatRelax_SeqAIJ(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,int its,int lits,Vec xx)
995 {
996   Mat_SeqAIJ         *a = (Mat_SeqAIJ*)A->data;
997   PetscScalar        *x,d,*xs,sum,*t,scale,*idiag=0,*mdiag;
998   const PetscScalar  *v = a->a, *b, *bs,*xb, *ts;
999   int                ierr,n = A->n,m = A->m,i;
1000   const int          *idx,*diag;
1001 
1002   PetscFunctionBegin;
1003   its = its*lits;
1004   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %d and local its %d both positive",its,lits);
1005 
1006   if (!a->diag) {ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);}
1007   diag = a->diag;
1008   if (!a->idiag) {
1009     ierr     = PetscMalloc(3*m*sizeof(PetscScalar),&a->idiag);CHKERRQ(ierr);
1010     a->ssor  = a->idiag + m;
1011     mdiag    = a->ssor + m;
1012 
1013     v        = a->a;
1014 
1015     /* this is wrong when fshift omega changes each iteration */
1016     if (omega == 1.0 && fshift == 0.0) {
1017       for (i=0; i<m; i++) {
1018         mdiag[i]    = v[diag[i]];
1019         a->idiag[i] = 1.0/v[diag[i]];
1020       }
1021       PetscLogFlops(m);
1022     } else {
1023       for (i=0; i<m; i++) {
1024         mdiag[i]    = v[diag[i]];
1025         a->idiag[i] = omega/(fshift + v[diag[i]]);
1026       }
1027       PetscLogFlops(2*m);
1028     }
1029   }
1030   t     = a->ssor;
1031   idiag = a->idiag;
1032   mdiag = a->idiag + 2*m;
1033 
1034   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1035   if (xx != bb) {
1036     ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
1037   } else {
1038     b = x;
1039   }
1040 
1041   /* We count flops by assuming the upper triangular and lower triangular parts have the same number of nonzeros */
1042   xs   = x;
1043   if (flag == SOR_APPLY_UPPER) {
1044    /* apply (U + D/omega) to the vector */
1045     bs = b;
1046     for (i=0; i<m; i++) {
1047         d    = fshift + a->a[diag[i]];
1048         n    = a->i[i+1] - diag[i] - 1;
1049         idx  = a->j + diag[i] + 1;
1050         v    = a->a + diag[i] + 1;
1051         sum  = b[i]*d/omega;
1052         SPARSEDENSEDOT(sum,bs,v,idx,n);
1053         x[i] = sum;
1054     }
1055     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1056     if (bb != xx) {ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);}
1057     PetscLogFlops(a->nz);
1058     PetscFunctionReturn(0);
1059   }
1060 
1061 
1062     /* Let  A = L + U + D; where L is lower trianglar,
1063     U is upper triangular, E is diagonal; This routine applies
1064 
1065             (L + E)^{-1} A (U + E)^{-1}
1066 
1067     to a vector efficiently using Eisenstat's trick. This is for
1068     the case of SSOR preconditioner, so E is D/omega where omega
1069     is the relaxation factor.
1070     */
1071 
1072   if (flag == SOR_APPLY_LOWER) {
1073     SETERRQ(PETSC_ERR_SUP,"SOR_APPLY_LOWER is not implemented");
1074   } else if (flag & SOR_EISENSTAT) {
1075     /* Let  A = L + U + D; where L is lower trianglar,
1076     U is upper triangular, E is diagonal; This routine applies
1077 
1078             (L + E)^{-1} A (U + E)^{-1}
1079 
1080     to a vector efficiently using Eisenstat's trick. This is for
1081     the case of SSOR preconditioner, so E is D/omega where omega
1082     is the relaxation factor.
1083     */
1084     scale = (2.0/omega) - 1.0;
1085 
1086     /*  x = (E + U)^{-1} b */
1087     for (i=m-1; i>=0; i--) {
1088       n    = a->i[i+1] - diag[i] - 1;
1089       idx  = a->j + diag[i] + 1;
1090       v    = a->a + diag[i] + 1;
1091       sum  = b[i];
1092       SPARSEDENSEMDOT(sum,xs,v,idx,n);
1093       x[i] = sum*idiag[i];
1094     }
1095 
1096     /*  t = b - (2*E - D)x */
1097     v = a->a;
1098     for (i=0; i<m; i++) { t[i] = b[i] - scale*(v[*diag++])*x[i]; }
1099 
1100     /*  t = (E + L)^{-1}t */
1101     ts = t;
1102     diag = a->diag;
1103     for (i=0; i<m; i++) {
1104       n    = diag[i] - a->i[i];
1105       idx  = a->j + a->i[i];
1106       v    = a->a + a->i[i];
1107       sum  = t[i];
1108       SPARSEDENSEMDOT(sum,ts,v,idx,n);
1109       t[i] = sum*idiag[i];
1110       /*  x = x + t */
1111       x[i] += t[i];
1112     }
1113 
1114     PetscLogFlops(6*m-1 + 2*a->nz);
1115     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1116     if (bb != xx) {ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);}
1117     PetscFunctionReturn(0);
1118   }
1119   if (flag & SOR_ZERO_INITIAL_GUESS) {
1120     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
1121 #if defined(PETSC_USE_FORTRAN_KERNEL_RELAXAIJ)
1122       fortranrelaxaijforwardzero_(&m,&omega,x,a->i,a->j,(int *)diag,idiag,a->a,(void*)b);
1123 #else
1124       for (i=0; i<m; i++) {
1125         n    = diag[i] - a->i[i];
1126         idx  = a->j + a->i[i];
1127         v    = a->a + a->i[i];
1128         sum  = b[i];
1129         SPARSEDENSEMDOT(sum,xs,v,idx,n);
1130         x[i] = sum*idiag[i];
1131       }
1132 #endif
1133       xb = x;
1134       PetscLogFlops(a->nz);
1135     } else xb = b;
1136     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
1137         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
1138       for (i=0; i<m; i++) {
1139         x[i] *= mdiag[i];
1140       }
1141       PetscLogFlops(m);
1142     }
1143     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
1144 #if defined(PETSC_USE_FORTRAN_KERNEL_RELAXAIJ)
1145       fortranrelaxaijbackwardzero_(&m,&omega,x,a->i,a->j,(int*)diag,idiag,a->a,(void*)xb);
1146 #else
1147       for (i=m-1; i>=0; i--) {
1148         n    = a->i[i+1] - diag[i] - 1;
1149         idx  = a->j + diag[i] + 1;
1150         v    = a->a + diag[i] + 1;
1151         sum  = xb[i];
1152         SPARSEDENSEMDOT(sum,xs,v,idx,n);
1153         x[i] = sum*idiag[i];
1154       }
1155 #endif
1156       PetscLogFlops(a->nz);
1157     }
1158     its--;
1159   }
1160   while (its--) {
1161     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
1162 #if defined(PETSC_USE_FORTRAN_KERNEL_RELAXAIJ)
1163       fortranrelaxaijforward_(&m,&omega,x,a->i,a->j,(int*)diag,a->a,(void*)b);
1164 #else
1165       for (i=0; i<m; i++) {
1166         d    = fshift + a->a[diag[i]];
1167         n    = a->i[i+1] - a->i[i];
1168         idx  = a->j + a->i[i];
1169         v    = a->a + a->i[i];
1170         sum  = b[i];
1171         SPARSEDENSEMDOT(sum,xs,v,idx,n);
1172         x[i] = (1. - omega)*x[i] + (sum + mdiag[i]*x[i])*idiag[i];
1173       }
1174 #endif
1175       PetscLogFlops(a->nz);
1176     }
1177     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
1178 #if defined(PETSC_USE_FORTRAN_KERNEL_RELAXAIJ)
1179       fortranrelaxaijbackward_(&m,&omega,x,a->i,a->j,(int*)diag,a->a,(void*)b);
1180 #else
1181       for (i=m-1; i>=0; i--) {
1182         d    = fshift + a->a[diag[i]];
1183         n    = a->i[i+1] - a->i[i];
1184         idx  = a->j + a->i[i];
1185         v    = a->a + a->i[i];
1186         sum  = b[i];
1187         SPARSEDENSEMDOT(sum,xs,v,idx,n);
1188         x[i] = (1. - omega)*x[i] + (sum + mdiag[i]*x[i])*idiag[i];
1189       }
1190 #endif
1191       PetscLogFlops(a->nz);
1192     }
1193   }
1194   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1195   if (bb != xx) {ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);}
1196   PetscFunctionReturn(0);
1197 }
1198 
1199 #undef __FUNCT__
1200 #define __FUNCT__ "MatGetInfo_SeqAIJ"
1201 int MatGetInfo_SeqAIJ(Mat A,MatInfoType flag,MatInfo *info)
1202 {
1203   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1204 
1205   PetscFunctionBegin;
1206   info->rows_global    = (double)A->m;
1207   info->columns_global = (double)A->n;
1208   info->rows_local     = (double)A->m;
1209   info->columns_local  = (double)A->n;
1210   info->block_size     = 1.0;
1211   info->nz_allocated   = (double)a->maxnz;
1212   info->nz_used        = (double)a->nz;
1213   info->nz_unneeded    = (double)(a->maxnz - a->nz);
1214   info->assemblies     = (double)A->num_ass;
1215   info->mallocs        = (double)a->reallocs;
1216   info->memory         = A->mem;
1217   if (A->factor) {
1218     info->fill_ratio_given  = A->info.fill_ratio_given;
1219     info->fill_ratio_needed = A->info.fill_ratio_needed;
1220     info->factor_mallocs    = A->info.factor_mallocs;
1221   } else {
1222     info->fill_ratio_given  = 0;
1223     info->fill_ratio_needed = 0;
1224     info->factor_mallocs    = 0;
1225   }
1226   PetscFunctionReturn(0);
1227 }
1228 
1229 #undef __FUNCT__
1230 #define __FUNCT__ "MatZeroRows_SeqAIJ"
1231 int MatZeroRows_SeqAIJ(Mat A,IS is,const PetscScalar *diag)
1232 {
1233   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1234   int         i,ierr,N,*rows,m = A->m - 1;
1235 
1236   PetscFunctionBegin;
1237   ierr = ISGetLocalSize(is,&N);CHKERRQ(ierr);
1238   ierr = ISGetIndices(is,&rows);CHKERRQ(ierr);
1239   if (a->keepzeroedrows) {
1240     for (i=0; i<N; i++) {
1241       if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"row %d out of range", rows[i]);
1242       ierr = PetscMemzero(&a->a[a->i[rows[i]]],a->ilen[rows[i]]*sizeof(PetscScalar));CHKERRQ(ierr);
1243     }
1244     if (diag) {
1245       ierr = MatMissingDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1246       ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1247       for (i=0; i<N; i++) {
1248         a->a[a->diag[rows[i]]] = *diag;
1249       }
1250     }
1251   } else {
1252     if (diag) {
1253       for (i=0; i<N; i++) {
1254         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"row %d out of range", rows[i]);
1255         if (a->ilen[rows[i]] > 0) {
1256           a->ilen[rows[i]]          = 1;
1257           a->a[a->i[rows[i]]] = *diag;
1258           a->j[a->i[rows[i]]] = rows[i];
1259         } else { /* in case row was completely empty */
1260           ierr = MatSetValues_SeqAIJ(A,1,&rows[i],1,&rows[i],diag,INSERT_VALUES);CHKERRQ(ierr);
1261         }
1262       }
1263     } else {
1264       for (i=0; i<N; i++) {
1265         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"row %d out of range", rows[i]);
1266         a->ilen[rows[i]] = 0;
1267       }
1268     }
1269   }
1270   ierr = ISRestoreIndices(is,&rows);CHKERRQ(ierr);
1271   ierr = MatAssemblyEnd_SeqAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1272   PetscFunctionReturn(0);
1273 }
1274 
1275 #undef __FUNCT__
1276 #define __FUNCT__ "MatGetRow_SeqAIJ"
1277 int MatGetRow_SeqAIJ(Mat A,int row,int *nz,int **idx,PetscScalar **v)
1278 {
1279   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1280   int        *itmp;
1281 
1282   PetscFunctionBegin;
1283   if (row < 0 || row >= A->m) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Row %d out of range",row);
1284 
1285   *nz = a->i[row+1] - a->i[row];
1286   if (v) *v = a->a + a->i[row];
1287   if (idx) {
1288     itmp = a->j + a->i[row];
1289     if (*nz) {
1290       *idx = itmp;
1291     }
1292     else *idx = 0;
1293   }
1294   PetscFunctionReturn(0);
1295 }
1296 
1297 /* remove this function? */
1298 #undef __FUNCT__
1299 #define __FUNCT__ "MatRestoreRow_SeqAIJ"
1300 int MatRestoreRow_SeqAIJ(Mat A,int row,int *nz,int **idx,PetscScalar **v)
1301 {
1302   /* Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1303      int ierr; */
1304 
1305   PetscFunctionBegin;
1306   /* if (idx) {if (*idx && a->indexshift) {ierr = PetscFree(*idx);CHKERRQ(ierr);}} */
1307   PetscFunctionReturn(0);
1308 }
1309 
1310 #undef __FUNCT__
1311 #define __FUNCT__ "MatNorm_SeqAIJ"
1312 int MatNorm_SeqAIJ(Mat A,NormType type,PetscReal *nrm)
1313 {
1314   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data;
1315   PetscScalar  *v = a->a;
1316   PetscReal    sum = 0.0;
1317   int          i,j,ierr;
1318 
1319   PetscFunctionBegin;
1320   if (type == NORM_FROBENIUS) {
1321     for (i=0; i<a->nz; i++) {
1322 #if defined(PETSC_USE_COMPLEX)
1323       sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
1324 #else
1325       sum += (*v)*(*v); v++;
1326 #endif
1327     }
1328     *nrm = sqrt(sum);
1329   } else if (type == NORM_1) {
1330     PetscReal *tmp;
1331     int    *jj = a->j;
1332     ierr = PetscMalloc((A->n+1)*sizeof(PetscReal),&tmp);CHKERRQ(ierr);
1333     ierr = PetscMemzero(tmp,A->n*sizeof(PetscReal));CHKERRQ(ierr);
1334     *nrm = 0.0;
1335     for (j=0; j<a->nz; j++) {
1336         tmp[*jj++] += PetscAbsScalar(*v);  v++;
1337     }
1338     for (j=0; j<A->n; j++) {
1339       if (tmp[j] > *nrm) *nrm = tmp[j];
1340     }
1341     ierr = PetscFree(tmp);CHKERRQ(ierr);
1342   } else if (type == NORM_INFINITY) {
1343     *nrm = 0.0;
1344     for (j=0; j<A->m; j++) {
1345       v = a->a + a->i[j];
1346       sum = 0.0;
1347       for (i=0; i<a->i[j+1]-a->i[j]; i++) {
1348         sum += PetscAbsScalar(*v); v++;
1349       }
1350       if (sum > *nrm) *nrm = sum;
1351     }
1352   } else {
1353     SETERRQ(PETSC_ERR_SUP,"No support for two norm");
1354   }
1355   PetscFunctionReturn(0);
1356 }
1357 
1358 #undef __FUNCT__
1359 #define __FUNCT__ "MatTranspose_SeqAIJ"
1360 int MatTranspose_SeqAIJ(Mat A,Mat *B)
1361 {
1362   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data;
1363   Mat          C;
1364   int          i,ierr,*aj = a->j,*ai = a->i,m = A->m,len,*col;
1365   PetscScalar  *array = a->a;
1366 
1367   PetscFunctionBegin;
1368   if (!B && m != A->n) SETERRQ(PETSC_ERR_ARG_SIZ,"Square matrix only for in-place");
1369   ierr = PetscMalloc((1+A->n)*sizeof(int),&col);CHKERRQ(ierr);
1370   ierr = PetscMemzero(col,(1+A->n)*sizeof(int));CHKERRQ(ierr);
1371 
1372   for (i=0; i<ai[m]; i++) col[aj[i]] += 1;
1373   ierr = MatCreate(A->comm,A->n,m,A->n,m,&C);CHKERRQ(ierr);
1374   ierr = MatSetType(C,A->type_name);CHKERRQ(ierr);
1375   ierr = MatSeqAIJSetPreallocation(C,0,col);CHKERRQ(ierr);
1376   ierr = PetscFree(col);CHKERRQ(ierr);
1377   for (i=0; i<m; i++) {
1378     len    = ai[i+1]-ai[i];
1379     ierr   = MatSetValues(C,len,aj,1,&i,array,INSERT_VALUES);CHKERRQ(ierr);
1380     array += len;
1381     aj    += len;
1382   }
1383 
1384   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1385   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1386 
1387   if (B) {
1388     *B = C;
1389   } else {
1390     ierr = MatHeaderCopy(A,C);CHKERRQ(ierr);
1391   }
1392   PetscFunctionReturn(0);
1393 }
1394 
1395 EXTERN_C_BEGIN
1396 #undef __FUNCT__
1397 #define __FUNCT__ "MatIsTranspose_SeqAIJ"
1398 int MatIsTranspose_SeqAIJ(Mat A,Mat B,PetscTruth *f)
1399 {
1400   Mat_SeqAIJ *aij = (Mat_SeqAIJ *) A->data,*bij = (Mat_SeqAIJ*) A->data;
1401   int *adx,*bdx,*aii,*bii,*aptr,*bptr; PetscScalar *va,*vb;
1402   int ma,na,mb,nb, i,ierr;
1403 
1404   PetscFunctionBegin;
1405   bij = (Mat_SeqAIJ *) B->data;
1406 
1407   ierr = MatGetSize(A,&ma,&na); CHKERRQ(ierr);
1408   ierr = MatGetSize(B,&mb,&nb); CHKERRQ(ierr);
1409   if (ma!=nb || na!=mb)
1410     SETERRQ(1,"Incompatible A/B sizes for symmetry test");
1411   aii = aij->i; bii = bij->i;
1412   adx = aij->j; bdx = bij->j;
1413   va = aij->a; vb = bij->a;
1414   ierr = PetscMalloc(ma*sizeof(int),&aptr); CHKERRQ(ierr);
1415   ierr = PetscMalloc(mb*sizeof(int),&bptr); CHKERRQ(ierr);
1416   for (i=0; i<ma; i++) aptr[i] = aii[i];
1417   for (i=0; i<mb; i++) bptr[i] = bii[i];
1418 
1419   *f = PETSC_TRUE;
1420   for (i=0; i<ma; i++) {
1421     /*printf("row %d spans %d--%d; we start @ %d\n",
1422       i,idx[ii[i]],idx[ii[i+1]-1],idx[aptr[i]]);*/
1423     while (aptr[i]<aii[i+1]) {
1424       int idc,idr; PetscScalar vc,vr;
1425       /* column/row index/value */
1426       idc = adx[aptr[i]]; idr = bdx[bptr[idc]];
1427       vc = va[aptr[i]]; vr = vb[bptr[idc]];
1428       /*printf("comparing %d: (%d,%d)=%e to (%d,%d)=%e\n",
1429 	aptr[i],i,idc,vc,idc,idr,vr);*/
1430       if (i!=idr || vc!=vr) {
1431 	*f = PETSC_FALSE; goto done;
1432       } else {
1433 	aptr[i]++; if (B || i!=idc) bptr[idc]++;
1434       }
1435     }
1436   }
1437  done:
1438   ierr = PetscFree(aptr); CHKERRQ(ierr);
1439   if (B) {
1440     ierr = PetscFree(bptr); CHKERRQ(ierr);
1441   }
1442 
1443   PetscFunctionReturn(0);
1444 }
1445 EXTERN_C_END
1446 
1447 #undef __FUNCT__
1448 #define __FUNCT__ "MatIsSymmetric_SeqAIJ"
1449 int MatIsSymmetric_SeqAIJ(Mat A,PetscTruth *f)
1450 {
1451   int ierr;
1452   PetscFunctionBegin;
1453   ierr = MatIsTranspose_SeqAIJ(A,A,f); CHKERRQ(ierr);
1454   PetscFunctionReturn(0);
1455 }
1456 
1457 #undef __FUNCT__
1458 #define __FUNCT__ "MatDiagonalScale_SeqAIJ"
1459 int MatDiagonalScale_SeqAIJ(Mat A,Vec ll,Vec rr)
1460 {
1461   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data;
1462   PetscScalar  *l,*r,x,*v;
1463   int          ierr,i,j,m = A->m,n = A->n,M,nz = a->nz,*jj;
1464 
1465   PetscFunctionBegin;
1466   if (ll) {
1467     /* The local size is used so that VecMPI can be passed to this routine
1468        by MatDiagonalScale_MPIAIJ */
1469     ierr = VecGetLocalSize(ll,&m);CHKERRQ(ierr);
1470     if (m != A->m) SETERRQ(PETSC_ERR_ARG_SIZ,"Left scaling vector wrong length");
1471     ierr = VecGetArray(ll,&l);CHKERRQ(ierr);
1472     v = a->a;
1473     for (i=0; i<m; i++) {
1474       x = l[i];
1475       M = a->i[i+1] - a->i[i];
1476       for (j=0; j<M; j++) { (*v++) *= x;}
1477     }
1478     ierr = VecRestoreArray(ll,&l);CHKERRQ(ierr);
1479     PetscLogFlops(nz);
1480   }
1481   if (rr) {
1482     ierr = VecGetLocalSize(rr,&n);CHKERRQ(ierr);
1483     if (n != A->n) SETERRQ(PETSC_ERR_ARG_SIZ,"Right scaling vector wrong length");
1484     ierr = VecGetArray(rr,&r);CHKERRQ(ierr);
1485     v = a->a; jj = a->j;
1486     for (i=0; i<nz; i++) {
1487       (*v++) *= r[*jj++];
1488     }
1489     ierr = VecRestoreArray(rr,&r);CHKERRQ(ierr);
1490     PetscLogFlops(nz);
1491   }
1492   PetscFunctionReturn(0);
1493 }
1494 
1495 #undef __FUNCT__
1496 #define __FUNCT__ "MatGetSubMatrix_SeqAIJ"
1497 int MatGetSubMatrix_SeqAIJ(Mat A,IS isrow,IS iscol,int csize,MatReuse scall,Mat *B)
1498 {
1499   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data,*c;
1500   int          *smap,i,k,kstart,kend,ierr,oldcols = A->n,*lens;
1501   int          row,mat_i,*mat_j,tcol,first,step,*mat_ilen,sum,lensi;
1502   int          *irow,*icol,nrows,ncols;
1503   int          *starts,*j_new,*i_new,*aj = a->j,*ai = a->i,ii,*ailen = a->ilen;
1504   PetscScalar  *a_new,*mat_a;
1505   Mat          C;
1506   PetscTruth   stride;
1507 
1508   PetscFunctionBegin;
1509   ierr = ISSorted(isrow,(PetscTruth*)&i);CHKERRQ(ierr);
1510   if (!i) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"ISrow is not sorted");
1511   ierr = ISSorted(iscol,(PetscTruth*)&i);CHKERRQ(ierr);
1512   if (!i) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"IScol is not sorted");
1513 
1514   ierr = ISGetIndices(isrow,&irow);CHKERRQ(ierr);
1515   ierr = ISGetLocalSize(isrow,&nrows);CHKERRQ(ierr);
1516   ierr = ISGetLocalSize(iscol,&ncols);CHKERRQ(ierr);
1517 
1518   ierr = ISStrideGetInfo(iscol,&first,&step);CHKERRQ(ierr);
1519   ierr = ISStride(iscol,&stride);CHKERRQ(ierr);
1520   if (stride && step == 1) {
1521     /* special case of contiguous rows */
1522     ierr   = PetscMalloc((2*nrows+1)*sizeof(int),&lens);CHKERRQ(ierr);
1523     starts = lens + nrows;
1524     /* loop over new rows determining lens and starting points */
1525     for (i=0; i<nrows; i++) {
1526       kstart  = ai[irow[i]];
1527       kend    = kstart + ailen[irow[i]];
1528       for (k=kstart; k<kend; k++) {
1529         if (aj[k] >= first) {
1530           starts[i] = k;
1531           break;
1532 	}
1533       }
1534       sum = 0;
1535       while (k < kend) {
1536         if (aj[k++] >= first+ncols) break;
1537         sum++;
1538       }
1539       lens[i] = sum;
1540     }
1541     /* create submatrix */
1542     if (scall == MAT_REUSE_MATRIX) {
1543       int n_cols,n_rows;
1544       ierr = MatGetSize(*B,&n_rows,&n_cols);CHKERRQ(ierr);
1545       if (n_rows != nrows || n_cols != ncols) SETERRQ(PETSC_ERR_ARG_SIZ,"Reused submatrix wrong size");
1546       ierr = MatZeroEntries(*B);CHKERRQ(ierr);
1547       C = *B;
1548     } else {
1549       ierr = MatCreate(A->comm,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE,&C);CHKERRQ(ierr);
1550       ierr = MatSetType(C,A->type_name);CHKERRQ(ierr);
1551       ierr = MatSeqAIJSetPreallocation(C,0,lens);CHKERRQ(ierr);
1552     }
1553     c = (Mat_SeqAIJ*)C->data;
1554 
1555     /* loop over rows inserting into submatrix */
1556     a_new    = c->a;
1557     j_new    = c->j;
1558     i_new    = c->i;
1559 
1560     for (i=0; i<nrows; i++) {
1561       ii    = starts[i];
1562       lensi = lens[i];
1563       for (k=0; k<lensi; k++) {
1564         *j_new++ = aj[ii+k] - first;
1565       }
1566       ierr = PetscMemcpy(a_new,a->a + starts[i],lensi*sizeof(PetscScalar));CHKERRQ(ierr);
1567       a_new      += lensi;
1568       i_new[i+1]  = i_new[i] + lensi;
1569       c->ilen[i]  = lensi;
1570     }
1571     ierr = PetscFree(lens);CHKERRQ(ierr);
1572   } else {
1573     ierr  = ISGetIndices(iscol,&icol);CHKERRQ(ierr);
1574     ierr  = PetscMalloc((1+oldcols)*sizeof(int),&smap);CHKERRQ(ierr);
1575 
1576     ierr  = PetscMalloc((1+nrows)*sizeof(int),&lens);CHKERRQ(ierr);
1577     ierr  = PetscMemzero(smap,oldcols*sizeof(int));CHKERRQ(ierr);
1578     for (i=0; i<ncols; i++) smap[icol[i]] = i+1;
1579     /* determine lens of each row */
1580     for (i=0; i<nrows; i++) {
1581       kstart  = ai[irow[i]];
1582       kend    = kstart + a->ilen[irow[i]];
1583       lens[i] = 0;
1584       for (k=kstart; k<kend; k++) {
1585         if (smap[aj[k]]) {
1586           lens[i]++;
1587         }
1588       }
1589     }
1590     /* Create and fill new matrix */
1591     if (scall == MAT_REUSE_MATRIX) {
1592       PetscTruth equal;
1593 
1594       c = (Mat_SeqAIJ *)((*B)->data);
1595       if ((*B)->m  != nrows || (*B)->n != ncols) SETERRQ(PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong size");
1596       ierr = PetscMemcmp(c->ilen,lens,(*B)->m*sizeof(int),&equal);CHKERRQ(ierr);
1597       if (!equal) {
1598         SETERRQ(PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong no of nonzeros");
1599       }
1600       ierr = PetscMemzero(c->ilen,(*B)->m*sizeof(int));CHKERRQ(ierr);
1601       C = *B;
1602     } else {
1603       ierr = MatCreate(A->comm,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE,&C);CHKERRQ(ierr);
1604       ierr = MatSetType(C,A->type_name);CHKERRQ(ierr);
1605       ierr = MatSeqAIJSetPreallocation(C,0,lens);CHKERRQ(ierr);
1606     }
1607     c = (Mat_SeqAIJ *)(C->data);
1608     for (i=0; i<nrows; i++) {
1609       row    = irow[i];
1610       kstart = ai[row];
1611       kend   = kstart + a->ilen[row];
1612       mat_i  = c->i[i];
1613       mat_j  = c->j + mat_i;
1614       mat_a  = c->a + mat_i;
1615       mat_ilen = c->ilen + i;
1616       for (k=kstart; k<kend; k++) {
1617         if ((tcol=smap[a->j[k]])) {
1618           *mat_j++ = tcol - 1;
1619           *mat_a++ = a->a[k];
1620           (*mat_ilen)++;
1621 
1622         }
1623       }
1624     }
1625     /* Free work space */
1626     ierr = ISRestoreIndices(iscol,&icol);CHKERRQ(ierr);
1627     ierr = PetscFree(smap);CHKERRQ(ierr);
1628     ierr = PetscFree(lens);CHKERRQ(ierr);
1629   }
1630   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1631   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1632 
1633   ierr = ISRestoreIndices(isrow,&irow);CHKERRQ(ierr);
1634   *B = C;
1635   PetscFunctionReturn(0);
1636 }
1637 
1638 /*
1639 */
1640 #undef __FUNCT__
1641 #define __FUNCT__ "MatILUFactor_SeqAIJ"
1642 int MatILUFactor_SeqAIJ(Mat inA,IS row,IS col,MatFactorInfo *info)
1643 {
1644   Mat_SeqAIJ *a = (Mat_SeqAIJ*)inA->data;
1645   int        ierr;
1646   Mat        outA;
1647   PetscTruth row_identity,col_identity;
1648 
1649   PetscFunctionBegin;
1650   if (info->levels != 0) SETERRQ(PETSC_ERR_SUP,"Only levels=0 supported for in-place ilu");
1651   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
1652   ierr = ISIdentity(col,&col_identity);CHKERRQ(ierr);
1653   if (!row_identity || !col_identity) {
1654     SETERRQ(1,"Row and column permutations must be identity for in-place ILU");
1655   }
1656 
1657   outA          = inA;
1658   inA->factor   = FACTOR_LU;
1659   a->row        = row;
1660   a->col        = col;
1661   ierr = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
1662   ierr = PetscObjectReference((PetscObject)col);CHKERRQ(ierr);
1663 
1664   /* Create the inverse permutation so that it can be used in MatLUFactorNumeric() */
1665   if (a->icol) {ierr = ISDestroy(a->icol);CHKERRQ(ierr);} /* need to remove old one */
1666   ierr = ISInvertPermutation(col,PETSC_DECIDE,&a->icol);CHKERRQ(ierr);
1667   PetscLogObjectParent(inA,a->icol);
1668 
1669   if (!a->solve_work) { /* this matrix may have been factored before */
1670      ierr = PetscMalloc((inA->m+1)*sizeof(PetscScalar),&a->solve_work);CHKERRQ(ierr);
1671   }
1672 
1673   if (!a->diag) {
1674     ierr = MatMarkDiagonal_SeqAIJ(inA);CHKERRQ(ierr);
1675   }
1676   ierr = MatLUFactorNumeric_SeqAIJ(inA,&outA);CHKERRQ(ierr);
1677   PetscFunctionReturn(0);
1678 }
1679 
1680 #include "petscblaslapack.h"
1681 #undef __FUNCT__
1682 #define __FUNCT__ "MatScale_SeqAIJ"
1683 int MatScale_SeqAIJ(const PetscScalar *alpha,Mat inA)
1684 {
1685   Mat_SeqAIJ *a = (Mat_SeqAIJ*)inA->data;
1686   int        one = 1;
1687 
1688   PetscFunctionBegin;
1689   BLscal_(&a->nz,(PetscScalar*)alpha,a->a,&one);
1690   PetscLogFlops(a->nz);
1691   PetscFunctionReturn(0);
1692 }
1693 
1694 #undef __FUNCT__
1695 #define __FUNCT__ "MatGetSubMatrices_SeqAIJ"
1696 int MatGetSubMatrices_SeqAIJ(Mat A,int n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
1697 {
1698   int        ierr,i;
1699   PetscTruth eq;
1700 
1701   PetscFunctionBegin;
1702   if (scall == MAT_INITIAL_MATRIX) {
1703     ierr = PetscMalloc((n+1)*sizeof(Mat),B);CHKERRQ(ierr);
1704   }
1705 
1706   for (i=0; i<n; i++) {
1707     ierr = MatGetSubMatrix_SeqAIJ(A,irow[i],icol[i],PETSC_DECIDE,scall,&(*B)[i]);CHKERRQ(ierr);
1708     if (A->symmetric || A->structurally_symmetric || A->hermitian) {
1709       ierr = ISEqual(irow[i],icol[i],&eq);CHKERRQ(ierr);
1710       if (eq) {
1711         if (A->symmetric){
1712           ierr = MatSetOption((*B)[i],MAT_SYMMETRIC);CHKERRQ(ierr);
1713         } else if (A->hermitian) {
1714           ierr = MatSetOption((*B)[i],MAT_HERMITIAN);CHKERRQ(ierr);
1715         } else if (A->structurally_symmetric) {
1716           ierr = MatSetOption((*B)[i],MAT_STRUCTURALLY_SYMMETRIC);CHKERRQ(ierr);
1717         }
1718       }
1719     }
1720   }
1721   PetscFunctionReturn(0);
1722 }
1723 
1724 #undef __FUNCT__
1725 #define __FUNCT__ "MatGetBlockSize_SeqAIJ"
1726 int MatGetBlockSize_SeqAIJ(Mat A,int *bs)
1727 {
1728   PetscFunctionBegin;
1729   *bs = 1;
1730   PetscFunctionReturn(0);
1731 }
1732 
1733 #undef __FUNCT__
1734 #define __FUNCT__ "MatIncreaseOverlap_SeqAIJ"
1735 int MatIncreaseOverlap_SeqAIJ(Mat A,int is_max,IS is[],int ov)
1736 {
1737   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1738   int        row,i,j,k,l,m,n,*idx,ierr,*nidx,isz,val;
1739   int        start,end,*ai,*aj;
1740   PetscBT    table;
1741 
1742   PetscFunctionBegin;
1743   m     = A->m;
1744   ai    = a->i;
1745   aj    = a->j;
1746 
1747   if (ov < 0)  SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"illegal negative overlap value used");
1748 
1749   ierr = PetscMalloc((m+1)*sizeof(int),&nidx);CHKERRQ(ierr);
1750   ierr = PetscBTCreate(m,table);CHKERRQ(ierr);
1751 
1752   for (i=0; i<is_max; i++) {
1753     /* Initialize the two local arrays */
1754     isz  = 0;
1755     ierr = PetscBTMemzero(m,table);CHKERRQ(ierr);
1756 
1757     /* Extract the indices, assume there can be duplicate entries */
1758     ierr = ISGetIndices(is[i],&idx);CHKERRQ(ierr);
1759     ierr = ISGetLocalSize(is[i],&n);CHKERRQ(ierr);
1760 
1761     /* Enter these into the temp arrays. I.e., mark table[row], enter row into new index */
1762     for (j=0; j<n ; ++j){
1763       if(!PetscBTLookupSet(table,idx[j])) { nidx[isz++] = idx[j];}
1764     }
1765     ierr = ISRestoreIndices(is[i],&idx);CHKERRQ(ierr);
1766     ierr = ISDestroy(is[i]);CHKERRQ(ierr);
1767 
1768     k = 0;
1769     for (j=0; j<ov; j++){ /* for each overlap */
1770       n = isz;
1771       for (; k<n ; k++){ /* do only those rows in nidx[k], which are not done yet */
1772         row   = nidx[k];
1773         start = ai[row];
1774         end   = ai[row+1];
1775         for (l = start; l<end ; l++){
1776           val = aj[l] ;
1777           if (!PetscBTLookupSet(table,val)) {nidx[isz++] = val;}
1778         }
1779       }
1780     }
1781     ierr = ISCreateGeneral(PETSC_COMM_SELF,isz,nidx,(is+i));CHKERRQ(ierr);
1782   }
1783   ierr = PetscBTDestroy(table);CHKERRQ(ierr);
1784   ierr = PetscFree(nidx);CHKERRQ(ierr);
1785   PetscFunctionReturn(0);
1786 }
1787 
1788 /* -------------------------------------------------------------- */
1789 #undef __FUNCT__
1790 #define __FUNCT__ "MatPermute_SeqAIJ"
1791 int MatPermute_SeqAIJ(Mat A,IS rowp,IS colp,Mat *B)
1792 {
1793   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data;
1794   PetscScalar  *vwork;
1795   int          i,ierr,nz,m = A->m,n = A->n,*cwork;
1796   int          *row,*col,*cnew,j,*lens;
1797   IS           icolp,irowp;
1798 
1799   PetscFunctionBegin;
1800   ierr = ISInvertPermutation(rowp,PETSC_DECIDE,&irowp);CHKERRQ(ierr);
1801   ierr = ISGetIndices(irowp,&row);CHKERRQ(ierr);
1802   ierr = ISInvertPermutation(colp,PETSC_DECIDE,&icolp);CHKERRQ(ierr);
1803   ierr = ISGetIndices(icolp,&col);CHKERRQ(ierr);
1804 
1805   /* determine lengths of permuted rows */
1806   ierr = PetscMalloc((m+1)*sizeof(int),&lens);CHKERRQ(ierr);
1807   for (i=0; i<m; i++) {
1808     lens[row[i]] = a->i[i+1] - a->i[i];
1809   }
1810   ierr = MatCreate(A->comm,m,n,m,n,B);CHKERRQ(ierr);
1811   ierr = MatSetType(*B,A->type_name);CHKERRQ(ierr);
1812   ierr = MatSeqAIJSetPreallocation(*B,0,lens);CHKERRQ(ierr);
1813   ierr = PetscFree(lens);CHKERRQ(ierr);
1814 
1815   ierr = PetscMalloc(n*sizeof(int),&cnew);CHKERRQ(ierr);
1816   for (i=0; i<m; i++) {
1817     ierr = MatGetRow(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
1818     for (j=0; j<nz; j++) { cnew[j] = col[cwork[j]];}
1819     ierr = MatSetValues(*B,1,&row[i],nz,cnew,vwork,INSERT_VALUES);CHKERRQ(ierr);
1820     ierr = MatRestoreRow(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
1821   }
1822   ierr = PetscFree(cnew);CHKERRQ(ierr);
1823   ierr = MatAssemblyBegin(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1824   ierr = MatAssemblyEnd(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1825   ierr = ISRestoreIndices(irowp,&row);CHKERRQ(ierr);
1826   ierr = ISRestoreIndices(icolp,&col);CHKERRQ(ierr);
1827   ierr = ISDestroy(irowp);CHKERRQ(ierr);
1828   ierr = ISDestroy(icolp);CHKERRQ(ierr);
1829   PetscFunctionReturn(0);
1830 }
1831 
1832 #undef __FUNCT__
1833 #define __FUNCT__ "MatPrintHelp_SeqAIJ"
1834 int MatPrintHelp_SeqAIJ(Mat A)
1835 {
1836   static PetscTruth called = PETSC_FALSE;
1837   MPI_Comm          comm = A->comm;
1838   int               ierr;
1839 
1840   PetscFunctionBegin;
1841   if (called) {PetscFunctionReturn(0);} else called = PETSC_TRUE;
1842   ierr = (*PetscHelpPrintf)(comm," Options for MATSEQAIJ and MATMPIAIJ matrix formats (the defaults):\n");CHKERRQ(ierr);
1843   ierr = (*PetscHelpPrintf)(comm,"  -mat_lu_pivotthreshold <threshold>: Set pivoting threshold\n");CHKERRQ(ierr);
1844   ierr = (*PetscHelpPrintf)(comm,"  -mat_aij_oneindex: internal indices begin at 1 instead of the default 0.\n");CHKERRQ(ierr);
1845   ierr = (*PetscHelpPrintf)(comm,"  -mat_aij_no_inode: Do not use inodes\n");CHKERRQ(ierr);
1846   ierr = (*PetscHelpPrintf)(comm,"  -mat_aij_inode_limit <limit>: Set inode limit (max limit=5)\n");CHKERRQ(ierr);
1847   PetscFunctionReturn(0);
1848 }
1849 
1850 #undef __FUNCT__
1851 #define __FUNCT__ "MatCopy_SeqAIJ"
1852 int MatCopy_SeqAIJ(Mat A,Mat B,MatStructure str)
1853 {
1854   int        ierr;
1855 
1856   PetscFunctionBegin;
1857   /* If the two matrices have the same copy implementation, use fast copy. */
1858   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
1859     Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1860     Mat_SeqAIJ *b = (Mat_SeqAIJ*)B->data;
1861 
1862     if (a->i[A->m] != b->i[B->m]) {
1863       SETERRQ(1,"Number of nonzeros in two matrices are different");
1864     }
1865     ierr = PetscMemcpy(b->a,a->a,(a->i[A->m])*sizeof(PetscScalar));CHKERRQ(ierr);
1866   } else {
1867     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
1868   }
1869   PetscFunctionReturn(0);
1870 }
1871 
1872 #undef __FUNCT__
1873 #define __FUNCT__ "MatSetUpPreallocation_SeqAIJ"
1874 int MatSetUpPreallocation_SeqAIJ(Mat A)
1875 {
1876   int        ierr;
1877 
1878   PetscFunctionBegin;
1879   ierr =  MatSeqAIJSetPreallocation(A,PETSC_DEFAULT,0);CHKERRQ(ierr);
1880   PetscFunctionReturn(0);
1881 }
1882 
1883 #undef __FUNCT__
1884 #define __FUNCT__ "MatGetArray_SeqAIJ"
1885 int MatGetArray_SeqAIJ(Mat A,PetscScalar *array[])
1886 {
1887   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1888   PetscFunctionBegin;
1889   *array = a->a;
1890   PetscFunctionReturn(0);
1891 }
1892 
1893 #undef __FUNCT__
1894 #define __FUNCT__ "MatRestoreArray_SeqAIJ"
1895 int MatRestoreArray_SeqAIJ(Mat A,PetscScalar *array[])
1896 {
1897   PetscFunctionBegin;
1898   PetscFunctionReturn(0);
1899 }
1900 
1901 #undef __FUNCT__
1902 #define __FUNCT__ "MatFDColoringApply_SeqAIJ"
1903 int MatFDColoringApply_SeqAIJ(Mat J,MatFDColoring coloring,Vec x1,MatStructure *flag,void *sctx)
1904 {
1905   int           (*f)(void *,Vec,Vec,void*) = (int (*)(void *,Vec,Vec,void *))coloring->f;
1906   int           k,ierr,N,start,end,l,row,col,srow,**vscaleforrow,m1,m2;
1907   PetscScalar   dx,mone = -1.0,*y,*xx,*w3_array;
1908   PetscScalar   *vscale_array;
1909   PetscReal     epsilon = coloring->error_rel,umin = coloring->umin;
1910   Vec           w1,w2,w3;
1911   void          *fctx = coloring->fctx;
1912   PetscTruth    flg;
1913 
1914   PetscFunctionBegin;
1915   if (!coloring->w1) {
1916     ierr = VecDuplicate(x1,&coloring->w1);CHKERRQ(ierr);
1917     PetscLogObjectParent(coloring,coloring->w1);
1918     ierr = VecDuplicate(x1,&coloring->w2);CHKERRQ(ierr);
1919     PetscLogObjectParent(coloring,coloring->w2);
1920     ierr = VecDuplicate(x1,&coloring->w3);CHKERRQ(ierr);
1921     PetscLogObjectParent(coloring,coloring->w3);
1922   }
1923   w1 = coloring->w1; w2 = coloring->w2; w3 = coloring->w3;
1924 
1925   ierr = MatSetUnfactored(J);CHKERRQ(ierr);
1926   ierr = PetscOptionsHasName(coloring->prefix,"-mat_fd_coloring_dont_rezero",&flg);CHKERRQ(ierr);
1927   if (flg) {
1928     PetscLogInfo(coloring,"MatFDColoringApply_SeqAIJ: Not calling MatZeroEntries()\n");
1929   } else {
1930     ierr = MatZeroEntries(J);CHKERRQ(ierr);
1931   }
1932 
1933   ierr = VecGetOwnershipRange(x1,&start,&end);CHKERRQ(ierr);
1934   ierr = VecGetSize(x1,&N);CHKERRQ(ierr);
1935 
1936   /*
1937        This is a horrible, horrible, hack. See DMMGComputeJacobian_Multigrid() it inproperly sets
1938      coloring->F for the coarser grids from the finest
1939   */
1940   if (coloring->F) {
1941     ierr = VecGetLocalSize(coloring->F,&m1);CHKERRQ(ierr);
1942     ierr = VecGetLocalSize(w1,&m2);CHKERRQ(ierr);
1943     if (m1 != m2) {
1944       coloring->F = 0;
1945     }
1946   }
1947 
1948   if (coloring->F) {
1949     w1          = coloring->F;
1950     coloring->F = 0;
1951   } else {
1952     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
1953     ierr = (*f)(sctx,x1,w1,fctx);CHKERRQ(ierr);
1954     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
1955   }
1956 
1957   /*
1958       Compute all the scale factors and share with other processors
1959   */
1960   ierr = VecGetArray(x1,&xx);CHKERRQ(ierr);xx = xx - start;
1961   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);vscale_array = vscale_array - start;
1962   for (k=0; k<coloring->ncolors; k++) {
1963     /*
1964        Loop over each column associated with color adding the
1965        perturbation to the vector w3.
1966     */
1967     for (l=0; l<coloring->ncolumns[k]; l++) {
1968       col = coloring->columns[k][l];    /* column of the matrix we are probing for */
1969       dx  = xx[col];
1970       if (dx == 0.0) dx = 1.0;
1971 #if !defined(PETSC_USE_COMPLEX)
1972       if (dx < umin && dx >= 0.0)      dx = umin;
1973       else if (dx < 0.0 && dx > -umin) dx = -umin;
1974 #else
1975       if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
1976       else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
1977 #endif
1978       dx                *= epsilon;
1979       vscale_array[col] = 1.0/dx;
1980     }
1981   }
1982   vscale_array = vscale_array + start;ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
1983   ierr = VecGhostUpdateBegin(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1984   ierr = VecGhostUpdateEnd(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1985 
1986   /*  ierr = VecView(coloring->vscale,PETSC_VIEWER_STDOUT_WORLD);
1987       ierr = VecView(x1,PETSC_VIEWER_STDOUT_WORLD);*/
1988 
1989   if (coloring->vscaleforrow) vscaleforrow = coloring->vscaleforrow;
1990   else                        vscaleforrow = coloring->columnsforrow;
1991 
1992   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
1993   /*
1994       Loop over each color
1995   */
1996   for (k=0; k<coloring->ncolors; k++) {
1997     coloring->currentcolor = k;
1998     ierr = VecCopy(x1,w3);CHKERRQ(ierr);
1999     ierr = VecGetArray(w3,&w3_array);CHKERRQ(ierr);w3_array = w3_array - start;
2000     /*
2001        Loop over each column associated with color adding the
2002        perturbation to the vector w3.
2003     */
2004     for (l=0; l<coloring->ncolumns[k]; l++) {
2005       col = coloring->columns[k][l];    /* column of the matrix we are probing for */
2006       dx  = xx[col];
2007       if (dx == 0.0) dx = 1.0;
2008 #if !defined(PETSC_USE_COMPLEX)
2009       if (dx < umin && dx >= 0.0)      dx = umin;
2010       else if (dx < 0.0 && dx > -umin) dx = -umin;
2011 #else
2012       if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2013       else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2014 #endif
2015       dx            *= epsilon;
2016       if (!PetscAbsScalar(dx)) SETERRQ(1,"Computed 0 differencing parameter");
2017       w3_array[col] += dx;
2018     }
2019     w3_array = w3_array + start; ierr = VecRestoreArray(w3,&w3_array);CHKERRQ(ierr);
2020 
2021     /*
2022        Evaluate function at x1 + dx (here dx is a vector of perturbations)
2023     */
2024 
2025     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2026     ierr = (*f)(sctx,w3,w2,fctx);CHKERRQ(ierr);
2027     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2028     ierr = VecAXPY(&mone,w1,w2);CHKERRQ(ierr);
2029 
2030     /*
2031        Loop over rows of vector, putting results into Jacobian matrix
2032     */
2033     ierr = VecGetArray(w2,&y);CHKERRQ(ierr);
2034     for (l=0; l<coloring->nrows[k]; l++) {
2035       row    = coloring->rows[k][l];
2036       col    = coloring->columnsforrow[k][l];
2037       y[row] *= vscale_array[vscaleforrow[k][l]];
2038       srow   = row + start;
2039       ierr   = MatSetValues_SeqAIJ(J,1,&srow,1,&col,y+row,INSERT_VALUES);CHKERRQ(ierr);
2040     }
2041     ierr = VecRestoreArray(w2,&y);CHKERRQ(ierr);
2042   }
2043   coloring->currentcolor = k;
2044   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2045   xx = xx + start; ierr  = VecRestoreArray(x1,&xx);CHKERRQ(ierr);
2046   ierr  = MatAssemblyBegin(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2047   ierr  = MatAssemblyEnd(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2048   PetscFunctionReturn(0);
2049 }
2050 
2051 #include "petscblaslapack.h"
2052 #undef __FUNCT__
2053 #define __FUNCT__ "MatAXPY_SeqAIJ"
2054 int MatAXPY_SeqAIJ(const PetscScalar a[],Mat X,Mat Y,MatStructure str)
2055 {
2056   int        ierr,one=1,i;
2057   Mat_SeqAIJ *x  = (Mat_SeqAIJ *)X->data,*y = (Mat_SeqAIJ *)Y->data;
2058 
2059   PetscFunctionBegin;
2060   if (str == SAME_NONZERO_PATTERN) {
2061     BLaxpy_(&x->nz,(PetscScalar*)a,x->a,&one,y->a,&one);
2062   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
2063     if (y->xtoy && y->XtoY != X) {
2064       ierr = PetscFree(y->xtoy);CHKERRQ(ierr);
2065       ierr = MatDestroy(y->XtoY);CHKERRQ(ierr);
2066     }
2067     if (!y->xtoy) { /* get xtoy */
2068       ierr = MatAXPYGetxtoy_Private(X->m,x->i,x->j,PETSC_NULL, y->i,y->j,PETSC_NULL, &y->xtoy);CHKERRQ(ierr);
2069       y->XtoY = X;
2070     }
2071     for (i=0; i<x->nz; i++) y->a[y->xtoy[i]] += (*a)*(x->a[i]);
2072     PetscLogInfo(0,"MatAXPY_SeqAIJ: ratio of nnz(X)/nnz(Y): %d/%d = %g\n",x->nz,y->nz,(PetscReal)(x->nz)/y->nz);
2073   } else {
2074     ierr = MatAXPY_Basic(a,X,Y,str);CHKERRQ(ierr);
2075   }
2076   PetscFunctionReturn(0);
2077 }
2078 
2079 /* -------------------------------------------------------------------*/
2080 static struct _MatOps MatOps_Values = {MatSetValues_SeqAIJ,
2081        MatGetRow_SeqAIJ,
2082        MatRestoreRow_SeqAIJ,
2083        MatMult_SeqAIJ,
2084 /* 4*/ MatMultAdd_SeqAIJ,
2085        MatMultTranspose_SeqAIJ,
2086        MatMultTransposeAdd_SeqAIJ,
2087        MatSolve_SeqAIJ,
2088        MatSolveAdd_SeqAIJ,
2089        MatSolveTranspose_SeqAIJ,
2090 /*10*/ MatSolveTransposeAdd_SeqAIJ,
2091        MatLUFactor_SeqAIJ,
2092        0,
2093        MatRelax_SeqAIJ,
2094        MatTranspose_SeqAIJ,
2095 /*15*/ MatGetInfo_SeqAIJ,
2096        MatEqual_SeqAIJ,
2097        MatGetDiagonal_SeqAIJ,
2098        MatDiagonalScale_SeqAIJ,
2099        MatNorm_SeqAIJ,
2100 /*20*/ 0,
2101        MatAssemblyEnd_SeqAIJ,
2102        MatCompress_SeqAIJ,
2103        MatSetOption_SeqAIJ,
2104        MatZeroEntries_SeqAIJ,
2105 /*25*/ MatZeroRows_SeqAIJ,
2106        MatLUFactorSymbolic_SeqAIJ,
2107        MatLUFactorNumeric_SeqAIJ,
2108        MatCholeskyFactorSymbolic_SeqAIJ,
2109        MatCholeskyFactorNumeric_SeqAIJ,
2110 /*30*/ MatSetUpPreallocation_SeqAIJ,
2111        MatILUFactorSymbolic_SeqAIJ,
2112        MatICCFactorSymbolic_SeqAIJ,
2113        MatGetArray_SeqAIJ,
2114        MatRestoreArray_SeqAIJ,
2115 /*35*/ MatDuplicate_SeqAIJ,
2116        0,
2117        0,
2118        MatILUFactor_SeqAIJ,
2119        0,
2120 /*40*/ MatAXPY_SeqAIJ,
2121        MatGetSubMatrices_SeqAIJ,
2122        MatIncreaseOverlap_SeqAIJ,
2123        MatGetValues_SeqAIJ,
2124        MatCopy_SeqAIJ,
2125 /*45*/ MatPrintHelp_SeqAIJ,
2126        MatScale_SeqAIJ,
2127        0,
2128        0,
2129        MatILUDTFactor_SeqAIJ,
2130 /*50*/ MatGetBlockSize_SeqAIJ,
2131        MatGetRowIJ_SeqAIJ,
2132        MatRestoreRowIJ_SeqAIJ,
2133        MatGetColumnIJ_SeqAIJ,
2134        MatRestoreColumnIJ_SeqAIJ,
2135 /*55*/ MatFDColoringCreate_SeqAIJ,
2136        0,
2137        0,
2138        MatPermute_SeqAIJ,
2139        0,
2140 /*60*/ 0,
2141        MatDestroy_SeqAIJ,
2142        MatView_SeqAIJ,
2143        MatGetPetscMaps_Petsc,
2144        0,
2145 /*65*/ 0,
2146        0,
2147        0,
2148        0,
2149        0,
2150 /*70*/ 0,
2151        0,
2152        MatSetColoring_SeqAIJ,
2153        MatSetValuesAdic_SeqAIJ,
2154        MatSetValuesAdifor_SeqAIJ,
2155 /*75*/ MatFDColoringApply_SeqAIJ,
2156        0,
2157        0,
2158        0,
2159        0,
2160 /*80*/ 0,
2161        0,
2162        0,
2163        0,
2164 /*85*/ MatLoad_SeqAIJ,
2165        MatIsSymmetric_SeqAIJ,
2166 };
2167 
2168 EXTERN_C_BEGIN
2169 #undef __FUNCT__
2170 #define __FUNCT__ "MatSeqAIJSetColumnIndices_SeqAIJ"
2171 int MatSeqAIJSetColumnIndices_SeqAIJ(Mat mat,int *indices)
2172 {
2173   Mat_SeqAIJ *aij = (Mat_SeqAIJ *)mat->data;
2174   int        i,nz,n;
2175 
2176   PetscFunctionBegin;
2177 
2178   nz = aij->maxnz;
2179   n  = mat->n;
2180   for (i=0; i<nz; i++) {
2181     aij->j[i] = indices[i];
2182   }
2183   aij->nz = nz;
2184   for (i=0; i<n; i++) {
2185     aij->ilen[i] = aij->imax[i];
2186   }
2187 
2188   PetscFunctionReturn(0);
2189 }
2190 EXTERN_C_END
2191 
2192 #undef __FUNCT__
2193 #define __FUNCT__ "MatSeqAIJSetColumnIndices"
2194 /*@
2195     MatSeqAIJSetColumnIndices - Set the column indices for all the rows
2196        in the matrix.
2197 
2198   Input Parameters:
2199 +  mat - the SeqAIJ matrix
2200 -  indices - the column indices
2201 
2202   Level: advanced
2203 
2204   Notes:
2205     This can be called if you have precomputed the nonzero structure of the
2206   matrix and want to provide it to the matrix object to improve the performance
2207   of the MatSetValues() operation.
2208 
2209     You MUST have set the correct numbers of nonzeros per row in the call to
2210   MatCreateSeqAIJ().
2211 
2212     MUST be called before any calls to MatSetValues();
2213 
2214     The indices should start with zero, not one.
2215 
2216 @*/
2217 int MatSeqAIJSetColumnIndices(Mat mat,int *indices)
2218 {
2219   int ierr,(*f)(Mat,int *);
2220 
2221   PetscFunctionBegin;
2222   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2223   PetscValidPointer(indices,2);
2224   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatSeqAIJSetColumnIndices_C",(void (**)(void))&f);CHKERRQ(ierr);
2225   if (f) {
2226     ierr = (*f)(mat,indices);CHKERRQ(ierr);
2227   } else {
2228     SETERRQ(1,"Wrong type of matrix to set column indices");
2229   }
2230   PetscFunctionReturn(0);
2231 }
2232 
2233 /* ----------------------------------------------------------------------------------------*/
2234 
2235 EXTERN_C_BEGIN
2236 #undef __FUNCT__
2237 #define __FUNCT__ "MatStoreValues_SeqAIJ"
2238 int MatStoreValues_SeqAIJ(Mat mat)
2239 {
2240   Mat_SeqAIJ *aij = (Mat_SeqAIJ *)mat->data;
2241   size_t       nz = aij->i[mat->m],ierr;
2242 
2243   PetscFunctionBegin;
2244   if (aij->nonew != 1) {
2245     SETERRQ(1,"Must call MatSetOption(A,MAT_NO_NEW_NONZERO_LOCATIONS);first");
2246   }
2247 
2248   /* allocate space for values if not already there */
2249   if (!aij->saved_values) {
2250     ierr = PetscMalloc((nz+1)*sizeof(PetscScalar),&aij->saved_values);CHKERRQ(ierr);
2251   }
2252 
2253   /* copy values over */
2254   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
2255   PetscFunctionReturn(0);
2256 }
2257 EXTERN_C_END
2258 
2259 #undef __FUNCT__
2260 #define __FUNCT__ "MatStoreValues"
2261 /*@
2262     MatStoreValues - Stashes a copy of the matrix values; this allows, for
2263        example, reuse of the linear part of a Jacobian, while recomputing the
2264        nonlinear portion.
2265 
2266    Collect on Mat
2267 
2268   Input Parameters:
2269 .  mat - the matrix (currently on AIJ matrices support this option)
2270 
2271   Level: advanced
2272 
2273   Common Usage, with SNESSolve():
2274 $    Create Jacobian matrix
2275 $    Set linear terms into matrix
2276 $    Apply boundary conditions to matrix, at this time matrix must have
2277 $      final nonzero structure (i.e. setting the nonlinear terms and applying
2278 $      boundary conditions again will not change the nonzero structure
2279 $    ierr = MatSetOption(mat,MAT_NO_NEW_NONZERO_LOCATIONS);
2280 $    ierr = MatStoreValues(mat);
2281 $    Call SNESSetJacobian() with matrix
2282 $    In your Jacobian routine
2283 $      ierr = MatRetrieveValues(mat);
2284 $      Set nonlinear terms in matrix
2285 
2286   Common Usage without SNESSolve(), i.e. when you handle nonlinear solve yourself:
2287 $    // build linear portion of Jacobian
2288 $    ierr = MatSetOption(mat,MAT_NO_NEW_NONZERO_LOCATIONS);
2289 $    ierr = MatStoreValues(mat);
2290 $    loop over nonlinear iterations
2291 $       ierr = MatRetrieveValues(mat);
2292 $       // call MatSetValues(mat,...) to set nonliner portion of Jacobian
2293 $       // call MatAssemblyBegin/End() on matrix
2294 $       Solve linear system with Jacobian
2295 $    endloop
2296 
2297   Notes:
2298     Matrix must already be assemblied before calling this routine
2299     Must set the matrix option MatSetOption(mat,MAT_NO_NEW_NONZERO_LOCATIONS); before
2300     calling this routine.
2301 
2302 .seealso: MatRetrieveValues()
2303 
2304 @*/
2305 int MatStoreValues(Mat mat)
2306 {
2307   int ierr,(*f)(Mat);
2308 
2309   PetscFunctionBegin;
2310   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2311   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2312   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2313 
2314   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatStoreValues_C",(void (**)(void))&f);CHKERRQ(ierr);
2315   if (f) {
2316     ierr = (*f)(mat);CHKERRQ(ierr);
2317   } else {
2318     SETERRQ(1,"Wrong type of matrix to store values");
2319   }
2320   PetscFunctionReturn(0);
2321 }
2322 
2323 EXTERN_C_BEGIN
2324 #undef __FUNCT__
2325 #define __FUNCT__ "MatRetrieveValues_SeqAIJ"
2326 int MatRetrieveValues_SeqAIJ(Mat mat)
2327 {
2328   Mat_SeqAIJ *aij = (Mat_SeqAIJ *)mat->data;
2329   int        nz = aij->i[mat->m],ierr;
2330 
2331   PetscFunctionBegin;
2332   if (aij->nonew != 1) {
2333     SETERRQ(1,"Must call MatSetOption(A,MAT_NO_NEW_NONZERO_LOCATIONS);first");
2334   }
2335   if (!aij->saved_values) {
2336     SETERRQ(1,"Must call MatStoreValues(A);first");
2337   }
2338 
2339   /* copy values over */
2340   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
2341   PetscFunctionReturn(0);
2342 }
2343 EXTERN_C_END
2344 
2345 #undef __FUNCT__
2346 #define __FUNCT__ "MatRetrieveValues"
2347 /*@
2348     MatRetrieveValues - Retrieves the copy of the matrix values; this allows, for
2349        example, reuse of the linear part of a Jacobian, while recomputing the
2350        nonlinear portion.
2351 
2352    Collect on Mat
2353 
2354   Input Parameters:
2355 .  mat - the matrix (currently on AIJ matrices support this option)
2356 
2357   Level: advanced
2358 
2359 .seealso: MatStoreValues()
2360 
2361 @*/
2362 int MatRetrieveValues(Mat mat)
2363 {
2364   int ierr,(*f)(Mat);
2365 
2366   PetscFunctionBegin;
2367   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2368   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2369   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2370 
2371   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatRetrieveValues_C",(void (**)(void))&f);CHKERRQ(ierr);
2372   if (f) {
2373     ierr = (*f)(mat);CHKERRQ(ierr);
2374   } else {
2375     SETERRQ(1,"Wrong type of matrix to retrieve values");
2376   }
2377   PetscFunctionReturn(0);
2378 }
2379 
2380 
2381 /* --------------------------------------------------------------------------------*/
2382 #undef __FUNCT__
2383 #define __FUNCT__ "MatCreateSeqAIJ"
2384 /*@C
2385    MatCreateSeqAIJ - Creates a sparse matrix in AIJ (compressed row) format
2386    (the default parallel PETSc format).  For good matrix assembly performance
2387    the user should preallocate the matrix storage by setting the parameter nz
2388    (or the array nnz).  By setting these parameters accurately, performance
2389    during matrix assembly can be increased by more than a factor of 50.
2390 
2391    Collective on MPI_Comm
2392 
2393    Input Parameters:
2394 +  comm - MPI communicator, set to PETSC_COMM_SELF
2395 .  m - number of rows
2396 .  n - number of columns
2397 .  nz - number of nonzeros per row (same for all rows)
2398 -  nnz - array containing the number of nonzeros in the various rows
2399          (possibly different for each row) or PETSC_NULL
2400 
2401    Output Parameter:
2402 .  A - the matrix
2403 
2404    Notes:
2405    The AIJ format (also called the Yale sparse matrix format or
2406    compressed row storage), is fully compatible with standard Fortran 77
2407    storage.  That is, the stored row and column indices can begin at
2408    either one (as in Fortran) or zero.  See the users' manual for details.
2409 
2410    Specify the preallocated storage with either nz or nnz (not both).
2411    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
2412    allocation.  For large problems you MUST preallocate memory or you
2413    will get TERRIBLE performance, see the users' manual chapter on matrices.
2414 
2415    By default, this format uses inodes (identical nodes) when possible, to
2416    improve numerical efficiency of matrix-vector products and solves. We
2417    search for consecutive rows with the same nonzero structure, thereby
2418    reusing matrix information to achieve increased efficiency.
2419 
2420    Options Database Keys:
2421 +  -mat_aij_no_inode  - Do not use inodes
2422 .  -mat_aij_inode_limit <limit> - Sets inode limit (max limit=5)
2423 -  -mat_aij_oneindex - Internally use indexing starting at 1
2424         rather than 0.  Note that when calling MatSetValues(),
2425         the user still MUST index entries starting at 0!
2426 
2427    Level: intermediate
2428 
2429 .seealso: MatCreate(), MatCreateMPIAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays()
2430 
2431 @*/
2432 int MatCreateSeqAIJ(MPI_Comm comm,int m,int n,int nz,const int nnz[],Mat *A)
2433 {
2434   int ierr;
2435 
2436   PetscFunctionBegin;
2437   ierr = MatCreate(comm,m,n,m,n,A);CHKERRQ(ierr);
2438   ierr = MatSetType(*A,MATSEQAIJ);CHKERRQ(ierr);
2439   ierr = MatSeqAIJSetPreallocation(*A,nz,nnz);CHKERRQ(ierr);
2440   PetscFunctionReturn(0);
2441 }
2442 
2443 #define SKIP_ALLOCATION -4
2444 
2445 #undef __FUNCT__
2446 #define __FUNCT__ "MatSeqAIJSetPreallocation"
2447 /*@C
2448    MatSeqAIJSetPreallocation - For good matrix assembly performance
2449    the user should preallocate the matrix storage by setting the parameter nz
2450    (or the array nnz).  By setting these parameters accurately, performance
2451    during matrix assembly can be increased by more than a factor of 50.
2452 
2453    Collective on MPI_Comm
2454 
2455    Input Parameters:
2456 +  comm - MPI communicator, set to PETSC_COMM_SELF
2457 .  m - number of rows
2458 .  n - number of columns
2459 .  nz - number of nonzeros per row (same for all rows)
2460 -  nnz - array containing the number of nonzeros in the various rows
2461          (possibly different for each row) or PETSC_NULL
2462 
2463    Output Parameter:
2464 .  A - the matrix
2465 
2466    Notes:
2467    The AIJ format (also called the Yale sparse matrix format or
2468    compressed row storage), is fully compatible with standard Fortran 77
2469    storage.  That is, the stored row and column indices can begin at
2470    either one (as in Fortran) or zero.  See the users' manual for details.
2471 
2472    Specify the preallocated storage with either nz or nnz (not both).
2473    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
2474    allocation.  For large problems you MUST preallocate memory or you
2475    will get TERRIBLE performance, see the users' manual chapter on matrices.
2476 
2477    By default, this format uses inodes (identical nodes) when possible, to
2478    improve numerical efficiency of matrix-vector products and solves. We
2479    search for consecutive rows with the same nonzero structure, thereby
2480    reusing matrix information to achieve increased efficiency.
2481 
2482    Options Database Keys:
2483 +  -mat_aij_no_inode  - Do not use inodes
2484 .  -mat_aij_inode_limit <limit> - Sets inode limit (max limit=5)
2485 -  -mat_aij_oneindex - Internally use indexing starting at 1
2486         rather than 0.  Note that when calling MatSetValues(),
2487         the user still MUST index entries starting at 0!
2488 
2489    Level: intermediate
2490 
2491 .seealso: MatCreate(), MatCreateMPIAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays()
2492 
2493 @*/
2494 int MatSeqAIJSetPreallocation(Mat B,int nz,const int nnz[])
2495 {
2496   int ierr,(*f)(Mat,int,const int[]);
2497 
2498   PetscFunctionBegin;
2499   ierr = PetscObjectQueryFunction((PetscObject)B,"MatSeqAIJSetPreallocation_C",(void (**)(void))&f);CHKERRQ(ierr);
2500   if (f) {
2501     ierr = (*f)(B,nz,nnz);CHKERRQ(ierr);
2502   }
2503   PetscFunctionReturn(0);
2504 }
2505 
2506 EXTERN_C_BEGIN
2507 #undef __FUNCT__
2508 #define __FUNCT__ "MatSeqAIJSetPreallocation_SeqAIJ"
2509 int MatSeqAIJSetPreallocation_SeqAIJ(Mat B,int nz,int *nnz)
2510 {
2511   Mat_SeqAIJ *b;
2512   size_t     len = 0;
2513   PetscTruth skipallocation = PETSC_FALSE;
2514   int        i,ierr;
2515 
2516   PetscFunctionBegin;
2517 
2518   if (nz == SKIP_ALLOCATION) {
2519     skipallocation = PETSC_TRUE;
2520     nz             = 0;
2521   }
2522 
2523   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
2524   if (nz < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %d",nz);
2525   if (nnz) {
2526     for (i=0; i<B->m; i++) {
2527       if (nnz[i] < 0) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"nnz cannot be less than 0: local row %d value %d",i,nnz[i]);
2528       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);
2529     }
2530   }
2531 
2532   B->preallocated = PETSC_TRUE;
2533   b = (Mat_SeqAIJ*)B->data;
2534 
2535   ierr = PetscMalloc((B->m+1)*sizeof(int),&b->imax);CHKERRQ(ierr);
2536   if (!nnz) {
2537     if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 10;
2538     else if (nz <= 0)        nz = 1;
2539     for (i=0; i<B->m; i++) b->imax[i] = nz;
2540     nz = nz*B->m;
2541   } else {
2542     nz = 0;
2543     for (i=0; i<B->m; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
2544   }
2545 
2546   if (!skipallocation) {
2547     /* allocate the matrix space */
2548     len             = ((size_t) nz)*(sizeof(int) + sizeof(PetscScalar)) + (B->m+1)*sizeof(int);
2549     ierr            = PetscMalloc(len,&b->a);CHKERRQ(ierr);
2550     b->j            = (int*)(b->a + nz);
2551     ierr            = PetscMemzero(b->j,nz*sizeof(int));CHKERRQ(ierr);
2552     b->i            = b->j + nz;
2553     b->i[0] = 0;
2554     for (i=1; i<B->m+1; i++) {
2555       b->i[i] = b->i[i-1] + b->imax[i-1];
2556     }
2557     b->singlemalloc = PETSC_TRUE;
2558     b->freedata     = PETSC_TRUE;
2559   } else {
2560     b->freedata     = PETSC_FALSE;
2561   }
2562 
2563   /* b->ilen will count nonzeros in each row so far. */
2564   ierr = PetscMalloc((B->m+1)*sizeof(int),&b->ilen);CHKERRQ(ierr);
2565   PetscLogObjectMemory(B,len+2*(B->m+1)*sizeof(int)+sizeof(struct _p_Mat)+sizeof(Mat_SeqAIJ));
2566   for (i=0; i<B->m; i++) { b->ilen[i] = 0;}
2567 
2568   b->nz                = 0;
2569   b->maxnz             = nz;
2570   B->info.nz_unneeded  = (double)b->maxnz;
2571   PetscFunctionReturn(0);
2572 }
2573 EXTERN_C_END
2574 
2575 /*MC
2576    MATSEQAIJ - MATSEQAIJ = "seqaij" - A matrix type to be used for sequential sparse matrices,
2577    based on compressed sparse row format.
2578 
2579    Options Database Keys:
2580 . -mat_type seqaij - sets the matrix type to "seqaij" during a call to MatSetFromOptions()
2581 
2582   Level: beginner
2583 
2584 .seealso: MatCreateSeqAIJ
2585 M*/
2586 
2587 EXTERN_C_BEGIN
2588 #undef __FUNCT__
2589 #define __FUNCT__ "MatCreate_SeqAIJ"
2590 int MatCreate_SeqAIJ(Mat B)
2591 {
2592   Mat_SeqAIJ *b;
2593   int        ierr,size;
2594 
2595   PetscFunctionBegin;
2596   ierr = MPI_Comm_size(B->comm,&size);CHKERRQ(ierr);
2597   if (size > 1) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Comm must be of size 1");
2598 
2599   B->m = B->M = PetscMax(B->m,B->M);
2600   B->n = B->N = PetscMax(B->n,B->N);
2601 
2602   ierr = PetscNew(Mat_SeqAIJ,&b);CHKERRQ(ierr);
2603   B->data             = (void*)b;
2604   ierr = PetscMemzero(b,sizeof(Mat_SeqAIJ));CHKERRQ(ierr);
2605   ierr = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
2606   B->factor           = 0;
2607   B->lupivotthreshold = 1.0;
2608   B->mapping          = 0;
2609   ierr = PetscOptionsGetReal(B->prefix,"-mat_lu_pivotthreshold",&B->lupivotthreshold,PETSC_NULL);CHKERRQ(ierr);
2610   ierr = PetscOptionsHasName(B->prefix,"-pc_ilu_preserve_row_sums",&b->ilu_preserve_row_sums);CHKERRQ(ierr);
2611   b->row              = 0;
2612   b->col              = 0;
2613   b->icol             = 0;
2614   b->reallocs         = 0;
2615 
2616   ierr = PetscMapCreateMPI(B->comm,B->m,B->m,&B->rmap);CHKERRQ(ierr);
2617   ierr = PetscMapCreateMPI(B->comm,B->n,B->n,&B->cmap);CHKERRQ(ierr);
2618 
2619   b->sorted            = PETSC_FALSE;
2620   b->ignorezeroentries = PETSC_FALSE;
2621   b->roworiented       = PETSC_TRUE;
2622   b->nonew             = 0;
2623   b->diag              = 0;
2624   b->solve_work        = 0;
2625   B->spptr             = 0;
2626   b->inode.use         = PETSC_TRUE;
2627   b->inode.node_count  = 0;
2628   b->inode.size        = 0;
2629   b->inode.limit       = 5;
2630   b->inode.max_limit   = 5;
2631   b->saved_values      = 0;
2632   b->idiag             = 0;
2633   b->ssor              = 0;
2634   b->keepzeroedrows    = PETSC_FALSE;
2635   b->xtoy              = 0;
2636   b->XtoY              = 0;
2637 
2638   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
2639 
2640   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqAIJSetColumnIndices_C",
2641                                      "MatSeqAIJSetColumnIndices_SeqAIJ",
2642                                      MatSeqAIJSetColumnIndices_SeqAIJ);CHKERRQ(ierr);
2643   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatStoreValues_C",
2644                                      "MatStoreValues_SeqAIJ",
2645                                      MatStoreValues_SeqAIJ);CHKERRQ(ierr);
2646   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatRetrieveValues_C",
2647                                      "MatRetrieveValues_SeqAIJ",
2648                                      MatRetrieveValues_SeqAIJ);CHKERRQ(ierr);
2649   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqaij_seqsbaij_C",
2650                                      "MatConvert_SeqAIJ_SeqSBAIJ",
2651                                       MatConvert_SeqAIJ_SeqSBAIJ);CHKERRQ(ierr);
2652   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqaij_seqbaij_C",
2653                                      "MatConvert_SeqAIJ_SeqBAIJ",
2654                                       MatConvert_SeqAIJ_SeqBAIJ);CHKERRQ(ierr);
2655   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatIsTranspose_C",
2656                                      "MatIsTranspose_SeqAIJ",
2657                                       MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
2658   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqAIJSetPreallocation_C",
2659                                      "MatSeqAIJSetPreallocation_SeqAIJ",
2660                                       MatSeqAIJSetPreallocation_SeqAIJ);CHKERRQ(ierr);
2661   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatReorderForNonzeroDiagonal_C",
2662                                      "MatReorderForNonzeroDiagonal_SeqAIJ",
2663                                       MatReorderForNonzeroDiagonal_SeqAIJ);CHKERRQ(ierr);
2664   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatAdjustForInodes_C",
2665                                      "MatAdjustForInodes_SeqAIJ",
2666                                       MatAdjustForInodes_SeqAIJ);CHKERRQ(ierr);
2667   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqAIJGetInodeSizes_C",
2668                                      "MatSeqAIJGetInodeSizes_SeqAIJ",
2669                                       MatSeqAIJGetInodeSizes_SeqAIJ);CHKERRQ(ierr);
2670   ierr = RegisterApplyPtAPRoutines_Private(B);CHKERRQ(ierr);
2671   PetscFunctionReturn(0);
2672 }
2673 EXTERN_C_END
2674 
2675 #undef __FUNCT__
2676 #define __FUNCT__ "MatDuplicate_SeqAIJ"
2677 int MatDuplicate_SeqAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
2678 {
2679   Mat        C;
2680   Mat_SeqAIJ *c,*a = (Mat_SeqAIJ*)A->data;
2681   int        i,m = A->m,ierr;
2682   size_t     len;
2683 
2684   PetscFunctionBegin;
2685   *B = 0;
2686   ierr = MatCreate(A->comm,A->m,A->n,A->m,A->n,&C);CHKERRQ(ierr);
2687   ierr = MatSetType(C,A->type_name);CHKERRQ(ierr);
2688   c    = (Mat_SeqAIJ*)C->data;
2689 
2690   C->factor         = A->factor;
2691   c->row            = 0;
2692   c->col            = 0;
2693   c->icol           = 0;
2694   c->keepzeroedrows = a->keepzeroedrows;
2695   C->assembled      = PETSC_TRUE;
2696 
2697   C->M          = A->m;
2698   C->N          = A->n;
2699 
2700   ierr = PetscMalloc((m+1)*sizeof(int),&c->imax);CHKERRQ(ierr);
2701   ierr = PetscMalloc((m+1)*sizeof(int),&c->ilen);CHKERRQ(ierr);
2702   for (i=0; i<m; i++) {
2703     c->imax[i] = a->imax[i];
2704     c->ilen[i] = a->ilen[i];
2705   }
2706 
2707   /* allocate the matrix space */
2708   c->singlemalloc = PETSC_TRUE;
2709   len   = ((size_t) (m+1))*sizeof(int)+(a->i[m])*(sizeof(PetscScalar)+sizeof(int));
2710   ierr  = PetscMalloc(len,&c->a);CHKERRQ(ierr);
2711   c->j  = (int*)(c->a + a->i[m] );
2712   c->i  = c->j + a->i[m];
2713   ierr = PetscMemcpy(c->i,a->i,(m+1)*sizeof(int));CHKERRQ(ierr);
2714   if (m > 0) {
2715     ierr = PetscMemcpy(c->j,a->j,(a->i[m])*sizeof(int));CHKERRQ(ierr);
2716     if (cpvalues == MAT_COPY_VALUES) {
2717       ierr = PetscMemcpy(c->a,a->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
2718     } else {
2719       ierr = PetscMemzero(c->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
2720     }
2721   }
2722 
2723   PetscLogObjectMemory(C,len+2*(m+1)*sizeof(int)+sizeof(struct _p_Mat)+sizeof(Mat_SeqAIJ));
2724   c->sorted      = a->sorted;
2725   c->roworiented = a->roworiented;
2726   c->nonew       = a->nonew;
2727   c->ilu_preserve_row_sums = a->ilu_preserve_row_sums;
2728   c->saved_values = 0;
2729   c->idiag        = 0;
2730   c->ssor         = 0;
2731   c->ignorezeroentries = a->ignorezeroentries;
2732   c->freedata     = PETSC_TRUE;
2733 
2734   if (a->diag) {
2735     ierr = PetscMalloc((m+1)*sizeof(int),&c->diag);CHKERRQ(ierr);
2736     PetscLogObjectMemory(C,(m+1)*sizeof(int));
2737     for (i=0; i<m; i++) {
2738       c->diag[i] = a->diag[i];
2739     }
2740   } else c->diag        = 0;
2741   c->inode.use          = a->inode.use;
2742   c->inode.limit        = a->inode.limit;
2743   c->inode.max_limit    = a->inode.max_limit;
2744   if (a->inode.size){
2745     ierr                = PetscMalloc((m+1)*sizeof(int),&c->inode.size);CHKERRQ(ierr);
2746     c->inode.node_count = a->inode.node_count;
2747     ierr                = PetscMemcpy(c->inode.size,a->inode.size,(m+1)*sizeof(int));CHKERRQ(ierr);
2748   } else {
2749     c->inode.size       = 0;
2750     c->inode.node_count = 0;
2751   }
2752   c->nz                 = a->nz;
2753   c->maxnz              = a->maxnz;
2754   c->solve_work         = 0;
2755   C->spptr              = 0;      /* Dangerous -I'm throwing away a->spptr */
2756   C->preallocated       = PETSC_TRUE;
2757 
2758   *B = C;
2759   ierr = PetscFListDuplicate(A->qlist,&C->qlist);CHKERRQ(ierr);
2760   PetscFunctionReturn(0);
2761 }
2762 
2763 #undef __FUNCT__
2764 #define __FUNCT__ "MatLoad_SeqAIJ"
2765 int MatLoad_SeqAIJ(PetscViewer viewer,const MatType type,Mat *A)
2766 {
2767   Mat_SeqAIJ   *a;
2768   Mat          B;
2769   int          i,nz,ierr,fd,header[4],size,*rowlengths = 0,M,N;
2770   MPI_Comm     comm;
2771 
2772   PetscFunctionBegin;
2773   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
2774   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2775   if (size > 1) SETERRQ(PETSC_ERR_ARG_SIZ,"view must have one processor");
2776   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
2777   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
2778   if (header[0] != MAT_FILE_COOKIE) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"not matrix object in file");
2779   M = header[1]; N = header[2]; nz = header[3];
2780 
2781   if (nz < 0) {
2782     SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk,cannot load as SeqAIJ");
2783   }
2784 
2785   /* read in row lengths */
2786   ierr = PetscMalloc(M*sizeof(int),&rowlengths);CHKERRQ(ierr);
2787   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
2788 
2789   /* create our matrix */
2790   ierr = MatCreate(comm,PETSC_DECIDE,PETSC_DECIDE,M,N,&B);CHKERRQ(ierr);
2791   ierr = MatSetType(B,type);CHKERRQ(ierr);
2792   ierr = MatSeqAIJSetPreallocation(B,0,rowlengths);CHKERRQ(ierr);
2793   a = (Mat_SeqAIJ*)B->data;
2794 
2795   /* read in column indices and adjust for Fortran indexing*/
2796   ierr = PetscBinaryRead(fd,a->j,nz,PETSC_INT);CHKERRQ(ierr);
2797 
2798   /* read in nonzero values */
2799   ierr = PetscBinaryRead(fd,a->a,nz,PETSC_SCALAR);CHKERRQ(ierr);
2800 
2801   /* set matrix "i" values */
2802   a->i[0] = 0;
2803   for (i=1; i<= M; i++) {
2804     a->i[i]      = a->i[i-1] + rowlengths[i-1];
2805     a->ilen[i-1] = rowlengths[i-1];
2806   }
2807   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
2808 
2809   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2810   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2811   *A = B;
2812   PetscFunctionReturn(0);
2813 }
2814 
2815 #undef __FUNCT__
2816 #define __FUNCT__ "MatEqual_SeqAIJ"
2817 int MatEqual_SeqAIJ(Mat A,Mat B,PetscTruth* flg)
2818 {
2819   Mat_SeqAIJ *a = (Mat_SeqAIJ *)A->data,*b = (Mat_SeqAIJ *)B->data;
2820   int        ierr;
2821 
2822   PetscFunctionBegin;
2823   /* If the  matrix dimensions are not equal,or no of nonzeros */
2824   if ((A->m != B->m) || (A->n != B->n) ||(a->nz != b->nz)) {
2825     *flg = PETSC_FALSE;
2826     PetscFunctionReturn(0);
2827   }
2828 
2829   /* if the a->i are the same */
2830   ierr = PetscMemcmp(a->i,b->i,(A->m+1)*sizeof(int),flg);CHKERRQ(ierr);
2831   if (*flg == PETSC_FALSE) PetscFunctionReturn(0);
2832 
2833   /* if a->j are the same */
2834   ierr = PetscMemcmp(a->j,b->j,(a->nz)*sizeof(int),flg);CHKERRQ(ierr);
2835   if (*flg == PETSC_FALSE) PetscFunctionReturn(0);
2836 
2837   /* if a->a are the same */
2838   ierr = PetscMemcmp(a->a,b->a,(a->nz)*sizeof(PetscScalar),flg);CHKERRQ(ierr);
2839 
2840   PetscFunctionReturn(0);
2841 
2842 }
2843 
2844 #undef __FUNCT__
2845 #define __FUNCT__ "MatCreateSeqAIJWithArrays"
2846 /*@C
2847      MatCreateSeqAIJWithArrays - Creates an sequential AIJ matrix using matrix elements (in CSR format)
2848               provided by the user.
2849 
2850       Coolective on MPI_Comm
2851 
2852    Input Parameters:
2853 +   comm - must be an MPI communicator of size 1
2854 .   m - number of rows
2855 .   n - number of columns
2856 .   i - row indices
2857 .   j - column indices
2858 -   a - matrix values
2859 
2860    Output Parameter:
2861 .   mat - the matrix
2862 
2863    Level: intermediate
2864 
2865    Notes:
2866        The i, j, and a arrays are not copied by this routine, the user must free these arrays
2867     once the matrix is destroyed
2868 
2869        You cannot set new nonzero locations into this matrix, that will generate an error.
2870 
2871        The i and j indices are 0 based
2872 
2873 .seealso: MatCreate(), MatCreateMPIAIJ(), MatCreateSeqAIJ()
2874 
2875 @*/
2876 int MatCreateSeqAIJWithArrays(MPI_Comm comm,int m,int n,int* i,int*j,PetscScalar *a,Mat *mat)
2877 {
2878   int        ierr,ii;
2879   Mat_SeqAIJ *aij;
2880 
2881   PetscFunctionBegin;
2882   ierr = MatCreate(comm,m,n,m,n,mat);CHKERRQ(ierr);
2883   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
2884   ierr = MatSeqAIJSetPreallocation(*mat,SKIP_ALLOCATION,0);CHKERRQ(ierr);
2885   aij  = (Mat_SeqAIJ*)(*mat)->data;
2886 
2887   if (i[0] != 0) {
2888     SETERRQ(1,"i (row indices) must start with 0");
2889   }
2890   aij->i = i;
2891   aij->j = j;
2892   aij->a = a;
2893   aij->singlemalloc = PETSC_FALSE;
2894   aij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
2895   aij->freedata     = PETSC_FALSE;
2896 
2897   for (ii=0; ii<m; ii++) {
2898     aij->ilen[ii] = aij->imax[ii] = i[ii+1] - i[ii];
2899 #if defined(PETSC_USE_BOPT_g)
2900     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]);
2901 #endif
2902   }
2903 #if defined(PETSC_USE_BOPT_g)
2904   for (ii=0; ii<aij->i[m]; ii++) {
2905     if (j[ii] < 0) SETERRQ2(1,"Negative column index at location = %d index = %d",ii,j[ii]);
2906     if (j[ii] > n - 1) SETERRQ2(1,"Column index to large at location = %d index = %d",ii,j[ii]);
2907   }
2908 #endif
2909 
2910   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2911   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2912   PetscFunctionReturn(0);
2913 }
2914 
2915 #undef __FUNCT__
2916 #define __FUNCT__ "MatSetColoring_SeqAIJ"
2917 int MatSetColoring_SeqAIJ(Mat A,ISColoring coloring)
2918 {
2919   int        ierr;
2920   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
2921 
2922   PetscFunctionBegin;
2923   if (coloring->ctype == IS_COLORING_LOCAL) {
2924     ierr        = ISColoringReference(coloring);CHKERRQ(ierr);
2925     a->coloring = coloring;
2926   } else if (coloring->ctype == IS_COLORING_GHOSTED) {
2927     int             i,*larray;
2928     ISColoring      ocoloring;
2929     ISColoringValue *colors;
2930 
2931     /* set coloring for diagonal portion */
2932     ierr = PetscMalloc((A->n+1)*sizeof(int),&larray);CHKERRQ(ierr);
2933     for (i=0; i<A->n; i++) {
2934       larray[i] = i;
2935     }
2936     ierr = ISGlobalToLocalMappingApply(A->mapping,IS_GTOLM_MASK,A->n,larray,PETSC_NULL,larray);CHKERRQ(ierr);
2937     ierr = PetscMalloc((A->n+1)*sizeof(ISColoringValue),&colors);CHKERRQ(ierr);
2938     for (i=0; i<A->n; i++) {
2939       colors[i] = coloring->colors[larray[i]];
2940     }
2941     ierr = PetscFree(larray);CHKERRQ(ierr);
2942     ierr = ISColoringCreate(PETSC_COMM_SELF,A->n,colors,&ocoloring);CHKERRQ(ierr);
2943     a->coloring = ocoloring;
2944   }
2945   PetscFunctionReturn(0);
2946 }
2947 
2948 #if defined(PETSC_HAVE_ADIC) && !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_SINGLE)
2949 EXTERN_C_BEGIN
2950 #include "adic/ad_utils.h"
2951 EXTERN_C_END
2952 
2953 #undef __FUNCT__
2954 #define __FUNCT__ "MatSetValuesAdic_SeqAIJ"
2955 int MatSetValuesAdic_SeqAIJ(Mat A,void *advalues)
2956 {
2957   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
2958   int             m = A->m,*ii = a->i,*jj = a->j,nz,i,j,nlen;
2959   PetscScalar     *v = a->a,*values = ((PetscScalar*)advalues)+1;
2960   ISColoringValue *color;
2961 
2962   PetscFunctionBegin;
2963   if (!a->coloring) SETERRQ(1,"Coloring not set for matrix");
2964   nlen  = PetscADGetDerivTypeSize()/sizeof(PetscScalar);
2965   color = a->coloring->colors;
2966   /* loop over rows */
2967   for (i=0; i<m; i++) {
2968     nz = ii[i+1] - ii[i];
2969     /* loop over columns putting computed value into matrix */
2970     for (j=0; j<nz; j++) {
2971       *v++ = values[color[*jj++]];
2972     }
2973     values += nlen; /* jump to next row of derivatives */
2974   }
2975   PetscFunctionReturn(0);
2976 }
2977 
2978 #else
2979 
2980 #undef __FUNCT__
2981 #define __FUNCT__ "MatSetValuesAdic_SeqAIJ"
2982 int MatSetValuesAdic_SeqAIJ(Mat A,void *advalues)
2983 {
2984   PetscFunctionBegin;
2985   SETERRQ(1,"PETSc installed without ADIC");
2986 }
2987 
2988 #endif
2989 
2990 #undef __FUNCT__
2991 #define __FUNCT__ "MatSetValuesAdifor_SeqAIJ"
2992 int MatSetValuesAdifor_SeqAIJ(Mat A,int nl,void *advalues)
2993 {
2994   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
2995   int             m = A->m,*ii = a->i,*jj = a->j,nz,i,j;
2996   PetscScalar     *v = a->a,*values = (PetscScalar *)advalues;
2997   ISColoringValue *color;
2998 
2999   PetscFunctionBegin;
3000   if (!a->coloring) SETERRQ(1,"Coloring not set for matrix");
3001   color = a->coloring->colors;
3002   /* loop over rows */
3003   for (i=0; i<m; i++) {
3004     nz = ii[i+1] - ii[i];
3005     /* loop over columns putting computed value into matrix */
3006     for (j=0; j<nz; j++) {
3007       *v++ = values[color[*jj++]];
3008     }
3009     values += nl; /* jump to next row of derivatives */
3010   }
3011   PetscFunctionReturn(0);
3012 }
3013 
3014