xref: /petsc/src/mat/impls/aij/seq/aij.c (revision ab93d7be622546495d84e7c23b06d6fbd0ced02d)
1 #define PETSCMAT_DLL
2 
3 /*
4     Defines the basic matrix operations for the AIJ (compressed row)
5   matrix storage format.
6 */
7 
8 #include "src/mat/impls/aij/seq/aij.h"          /*I "petscmat.h" I*/
9 #include "src/inline/spops.h"
10 #include "src/inline/dot.h"
11 #include "petscbt.h"
12 
13 #undef __FUNCT__
14 #define __FUNCT__ "MatGetRowIJ_SeqAIJ"
15 PetscErrorCode MatGetRowIJ_SeqAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscInt *m,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
16 {
17   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
18   PetscErrorCode ierr;
19   PetscInt       i,ishift;
20 
21   PetscFunctionBegin;
22   *m     = A->m;
23   if (!ia) PetscFunctionReturn(0);
24   ishift = 0;
25   if (symmetric && !A->structurally_symmetric) {
26     ierr = MatToSymmetricIJ_SeqAIJ(A->m,a->i,a->j,ishift,oshift,ia,ja);CHKERRQ(ierr);
27   } else if (oshift == 1) {
28     PetscInt nz = a->i[A->m];
29     /* malloc space and  add 1 to i and j indices */
30     ierr = PetscMalloc((A->m+1)*sizeof(PetscInt),ia);CHKERRQ(ierr);
31     ierr = PetscMalloc((nz+1)*sizeof(PetscInt),ja);CHKERRQ(ierr);
32     for (i=0; i<nz; i++) (*ja)[i] = a->j[i] + 1;
33     for (i=0; i<A->m+1; i++) (*ia)[i] = a->i[i] + 1;
34   } else {
35     *ia = a->i; *ja = a->j;
36   }
37   PetscFunctionReturn(0);
38 }
39 
40 #undef __FUNCT__
41 #define __FUNCT__ "MatRestoreRowIJ_SeqAIJ"
42 PetscErrorCode MatRestoreRowIJ_SeqAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscInt *n,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
43 {
44   PetscErrorCode ierr;
45 
46   PetscFunctionBegin;
47   if (!ia) PetscFunctionReturn(0);
48   if ((symmetric && !A->structurally_symmetric) || oshift == 1) {
49     ierr = PetscFree(*ia);CHKERRQ(ierr);
50     ierr = PetscFree(*ja);CHKERRQ(ierr);
51   }
52   PetscFunctionReturn(0);
53 }
54 
55 #undef __FUNCT__
56 #define __FUNCT__ "MatGetColumnIJ_SeqAIJ"
57 PetscErrorCode MatGetColumnIJ_SeqAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscInt *nn,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
58 {
59   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
60   PetscErrorCode ierr;
61   PetscInt       i,*collengths,*cia,*cja,n = A->n,m = A->m;
62   PetscInt       nz = a->i[m],row,*jj,mr,col;
63 
64   PetscFunctionBegin;
65   *nn     = A->n;
66   if (!ia) PetscFunctionReturn(0);
67   if (symmetric) {
68     ierr = MatToSymmetricIJ_SeqAIJ(A->m,a->i,a->j,0,oshift,ia,ja);CHKERRQ(ierr);
69   } else {
70     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&collengths);CHKERRQ(ierr);
71     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
72     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&cia);CHKERRQ(ierr);
73     ierr = PetscMalloc((nz+1)*sizeof(PetscInt),&cja);CHKERRQ(ierr);
74     jj = a->j;
75     for (i=0; i<nz; i++) {
76       collengths[jj[i]]++;
77     }
78     cia[0] = oshift;
79     for (i=0; i<n; i++) {
80       cia[i+1] = cia[i] + collengths[i];
81     }
82     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
83     jj   = a->j;
84     for (row=0; row<m; row++) {
85       mr = a->i[row+1] - a->i[row];
86       for (i=0; i<mr; i++) {
87         col = *jj++;
88         cja[cia[col] + collengths[col]++ - oshift] = row + oshift;
89       }
90     }
91     ierr = PetscFree(collengths);CHKERRQ(ierr);
92     *ia = cia; *ja = cja;
93   }
94   PetscFunctionReturn(0);
95 }
96 
97 #undef __FUNCT__
98 #define __FUNCT__ "MatRestoreColumnIJ_SeqAIJ"
99 PetscErrorCode MatRestoreColumnIJ_SeqAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscInt *n,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
100 {
101   PetscErrorCode ierr;
102 
103   PetscFunctionBegin;
104   if (!ia) PetscFunctionReturn(0);
105 
106   ierr = PetscFree(*ia);CHKERRQ(ierr);
107   ierr = PetscFree(*ja);CHKERRQ(ierr);
108 
109   PetscFunctionReturn(0);
110 }
111 
112 #define CHUNKSIZE   15
113 
114 #undef __FUNCT__
115 #define __FUNCT__ "MatSetValues_SeqAIJ"
116 PetscErrorCode MatSetValues_SeqAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
117 {
118   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
119   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N;
120   PetscInt       *imax = a->imax,*ai = a->i,*ailen = a->ilen;
121   PetscErrorCode ierr;
122   PetscInt       *aj = a->j,nonew = a->nonew,lastcol = -1;
123   PetscScalar    *ap,value,*aa = a->a;
124   PetscTruth     ignorezeroentries = ((a->ignorezeroentries && is == ADD_VALUES) ? PETSC_TRUE:PETSC_FALSE);
125   PetscTruth     roworiented = a->roworiented;
126 
127   PetscFunctionBegin;
128   for (k=0; k<m; k++) { /* loop over added rows */
129     row  = im[k];
130     if (row < 0) continue;
131 #if defined(PETSC_USE_DEBUG)
132     if (row >= A->m) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,A->m-1);
133 #endif
134     rp   = aj + ai[row]; ap = aa + ai[row];
135     rmax = imax[row]; nrow = ailen[row];
136     low  = 0;
137     high = nrow;
138     for (l=0; l<n; l++) { /* loop over added columns */
139       if (in[l] < 0) continue;
140 #if defined(PETSC_USE_DEBUG)
141       if (in[l] >= A->n) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],A->n-1);
142 #endif
143       col = in[l];
144       if (roworiented) {
145         value = v[l + k*n];
146       } else {
147         value = v[k + l*m];
148       }
149       if (value == 0.0 && ignorezeroentries && (is == ADD_VALUES)) continue;
150 
151       if (col < lastcol) low = 0; else high = nrow;
152       lastcol = col;
153       while (high-low > 5) {
154         t = (low+high)/2;
155         if (rp[t] > col) high = t;
156         else             low  = t;
157       }
158       for (i=low; i<high; i++) {
159         if (rp[i] > col) break;
160         if (rp[i] == col) {
161           if (is == ADD_VALUES) ap[i] += value;
162           else                  ap[i] = value;
163           goto noinsert;
164         }
165       }
166       if (value == 0.0 && ignorezeroentries) goto noinsert;
167       if (nonew == 1) goto noinsert;
168       else if (nonew == -1) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero at (%D,%D) in the matrix",row,col);
169       if (nrow >= rmax) {
170         /* there is no extra room in row, therefore enlarge */
171         PetscInt    new_nz = ai[A->m] + CHUNKSIZE,*new_i,*new_j;
172         size_t      len;
173         PetscScalar *new_a;
174 
175         if (nonew == -2) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero at (%D,%D) in the matrix requiring new malloc()",row,col);
176 
177         /* malloc new storage space */
178         ierr = PetscMalloc3(new_nz,PetscScalar,&new_a,new_nz,PetscInt,&new_j,A->m+1,PetscInt,&new_i);CHKERRQ(ierr);
179 
180         /* copy over old data into new slots */
181         for (ii=0; ii<row+1; ii++) {new_i[ii] = ai[ii];}
182         for (ii=row+1; ii<A->m+1; ii++) {new_i[ii] = ai[ii]+CHUNKSIZE;}
183         ierr = PetscMemcpy(new_j,aj,(ai[row]+nrow)*sizeof(PetscInt));CHKERRQ(ierr);
184         len  = (((size_t) new_nz) - CHUNKSIZE - ai[row] - nrow );
185         ierr = PetscMemcpy(new_j+ai[row]+nrow+CHUNKSIZE,aj+ai[row]+nrow,len*sizeof(PetscInt));CHKERRQ(ierr);
186         ierr = PetscMemcpy(new_a,aa,(((size_t) ai[row])+nrow)*sizeof(PetscScalar));CHKERRQ(ierr);
187         ierr = PetscMemcpy(new_a+ai[row]+nrow+CHUNKSIZE,aa+ai[row]+nrow,len*sizeof(PetscScalar));CHKERRQ(ierr);
188         /* free up old matrix storage */
189         if (!a->singlemalloc) {
190           ierr = PetscFree(a->a);CHKERRQ(ierr);
191           ierr = PetscFree(a->i);CHKERRQ(ierr);
192           ierr = PetscFree(a->j);CHKERRQ(ierr);
193         } else {
194           ierr = PetscFree3(a->a,a->i,a->j);CHKERRQ(ierr);
195         }
196         aa = a->a = new_a; ai = a->i = new_i; aj = a->j = new_j;
197         a->singlemalloc = PETSC_TRUE;
198 
199         rp   = aj + ai[row]; ap = aa + ai[row] ;
200         rmax = imax[row] = imax[row] + CHUNKSIZE;
201         ierr = PetscLogObjectMemory(A,CHUNKSIZE*(sizeof(PetscInt) + sizeof(PetscScalar)));CHKERRQ(ierr);
202         a->maxnz += CHUNKSIZE;
203         a->reallocs++;
204       }
205       N = nrow++ - 1; a->nz++;
206       /* shift up all the later entries in this row */
207       for (ii=N; ii>=i; ii--) {
208         rp[ii+1] = rp[ii];
209         ap[ii+1] = ap[ii];
210       }
211       rp[i] = col;
212       ap[i] = value;
213       noinsert:;
214       low = i + 1;
215     }
216     ailen[row] = nrow;
217   }
218   A->same_nonzero = PETSC_FALSE;
219   PetscFunctionReturn(0);
220 }
221 
222 #undef __FUNCT__
223 #define __FUNCT__ "MatGetValues_SeqAIJ"
224 PetscErrorCode MatGetValues_SeqAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],PetscScalar v[])
225 {
226   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)A->data;
227   PetscInt     *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
228   PetscInt     *ai = a->i,*ailen = a->ilen;
229   PetscScalar  *ap,*aa = a->a,zero = 0.0;
230 
231   PetscFunctionBegin;
232   for (k=0; k<m; k++) { /* loop over rows */
233     row  = im[k];
234     if (row < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",row);
235     if (row >= A->m) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,A->m-1);
236     rp   = aj + ai[row]; ap = aa + ai[row];
237     nrow = ailen[row];
238     for (l=0; l<n; l++) { /* loop over columns */
239       if (in[l] < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Negative column: %D",in[l]);
240       if (in[l] >= A->n) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],A->n-1);
241       col = in[l] ;
242       high = nrow; low = 0; /* assume unsorted */
243       while (high-low > 5) {
244         t = (low+high)/2;
245         if (rp[t] > col) high = t;
246         else             low  = t;
247       }
248       for (i=low; i<high; i++) {
249         if (rp[i] > col) break;
250         if (rp[i] == col) {
251           *v++ = ap[i];
252           goto finished;
253         }
254       }
255       *v++ = zero;
256       finished:;
257     }
258   }
259   PetscFunctionReturn(0);
260 }
261 
262 
263 #undef __FUNCT__
264 #define __FUNCT__ "MatView_SeqAIJ_Binary"
265 PetscErrorCode MatView_SeqAIJ_Binary(Mat A,PetscViewer viewer)
266 {
267   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
268   PetscErrorCode ierr;
269   PetscInt       i,*col_lens;
270   int            fd;
271 
272   PetscFunctionBegin;
273   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
274   ierr = PetscMalloc((4+A->m)*sizeof(PetscInt),&col_lens);CHKERRQ(ierr);
275   col_lens[0] = MAT_FILE_COOKIE;
276   col_lens[1] = A->m;
277   col_lens[2] = A->n;
278   col_lens[3] = a->nz;
279 
280   /* store lengths of each row and write (including header) to file */
281   for (i=0; i<A->m; i++) {
282     col_lens[4+i] = a->i[i+1] - a->i[i];
283   }
284   ierr = PetscBinaryWrite(fd,col_lens,4+A->m,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
285   ierr = PetscFree(col_lens);CHKERRQ(ierr);
286 
287   /* store column indices (zero start index) */
288   ierr = PetscBinaryWrite(fd,a->j,a->nz,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
289 
290   /* store nonzero values */
291   ierr = PetscBinaryWrite(fd,a->a,a->nz,PETSC_SCALAR,PETSC_FALSE);CHKERRQ(ierr);
292   PetscFunctionReturn(0);
293 }
294 
295 EXTERN PetscErrorCode MatSeqAIJFactorInfo_Matlab(Mat,PetscViewer);
296 
297 #undef __FUNCT__
298 #define __FUNCT__ "MatView_SeqAIJ_ASCII"
299 PetscErrorCode MatView_SeqAIJ_ASCII(Mat A,PetscViewer viewer)
300 {
301   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
302   PetscErrorCode    ierr;
303   PetscInt          i,j,m = A->m,shift=0;
304   char              *name;
305   PetscViewerFormat format;
306 
307   PetscFunctionBegin;
308   ierr = PetscObjectGetName((PetscObject)A,&name);CHKERRQ(ierr);
309   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
310   if (format == PETSC_VIEWER_ASCII_MATLAB) {
311     PetscInt nofinalvalue = 0;
312     if ((a->i[m] == a->i[m-1]) || (a->j[a->nz-1] != A->n-!shift)) {
313       nofinalvalue = 1;
314     }
315     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
316     ierr = PetscViewerASCIIPrintf(viewer,"%% Size = %D %D \n",m,A->n);CHKERRQ(ierr);
317     ierr = PetscViewerASCIIPrintf(viewer,"%% Nonzeros = %D \n",a->nz);CHKERRQ(ierr);
318     ierr = PetscViewerASCIIPrintf(viewer,"zzz = zeros(%D,3);\n",a->nz+nofinalvalue);CHKERRQ(ierr);
319     ierr = PetscViewerASCIIPrintf(viewer,"zzz = [\n");CHKERRQ(ierr);
320 
321     for (i=0; i<m; i++) {
322       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
323 #if defined(PETSC_USE_COMPLEX)
324         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);
325 #else
326         ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e\n",i+1,a->j[j]+!shift,a->a[j]);CHKERRQ(ierr);
327 #endif
328       }
329     }
330     if (nofinalvalue) {
331       ierr = PetscViewerASCIIPrintf(viewer,"%D %D  %18.16e\n",m,A->n,0.0);CHKERRQ(ierr);
332     }
333     ierr = PetscViewerASCIIPrintf(viewer,"];\n %s = spconvert(zzz);\n",name);CHKERRQ(ierr);
334     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
335   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO || format == PETSC_VIEWER_ASCII_INFO) {
336      PetscFunctionReturn(0);
337   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
338     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
339     for (i=0; i<m; i++) {
340       ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
341       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
342 #if defined(PETSC_USE_COMPLEX)
343         if (PetscImaginaryPart(a->a[j]) > 0.0 && PetscRealPart(a->a[j]) != 0.0) {
344           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
345         } else if (PetscImaginaryPart(a->a[j]) < 0.0 && PetscRealPart(a->a[j]) != 0.0) {
346           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
347         } else if (PetscRealPart(a->a[j]) != 0.0) {
348           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,PetscRealPart(a->a[j]));CHKERRQ(ierr);
349         }
350 #else
351         if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,a->a[j]);CHKERRQ(ierr);}
352 #endif
353       }
354       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
355     }
356     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
357   } else if (format == PETSC_VIEWER_ASCII_SYMMODU) {
358     PetscInt nzd=0,fshift=1,*sptr;
359     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
360     ierr = PetscMalloc((m+1)*sizeof(PetscInt),&sptr);CHKERRQ(ierr);
361     for (i=0; i<m; i++) {
362       sptr[i] = nzd+1;
363       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
364         if (a->j[j] >= i) {
365 #if defined(PETSC_USE_COMPLEX)
366           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) nzd++;
367 #else
368           if (a->a[j] != 0.0) nzd++;
369 #endif
370         }
371       }
372     }
373     sptr[m] = nzd+1;
374     ierr = PetscViewerASCIIPrintf(viewer," %D %D\n\n",m,nzd);CHKERRQ(ierr);
375     for (i=0; i<m+1; i+=6) {
376       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);}
377       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);}
378       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);}
379       else if (i+1<m) {ierr = PetscViewerASCIIPrintf(viewer," %D %D %D\n",sptr[i],sptr[i+1],sptr[i+2]);CHKERRQ(ierr);}
380       else if (i<m)   {ierr = PetscViewerASCIIPrintf(viewer," %D %D\n",sptr[i],sptr[i+1]);CHKERRQ(ierr);}
381       else            {ierr = PetscViewerASCIIPrintf(viewer," %D\n",sptr[i]);CHKERRQ(ierr);}
382     }
383     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
384     ierr = PetscFree(sptr);CHKERRQ(ierr);
385     for (i=0; i<m; i++) {
386       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
387         if (a->j[j] >= i) {ierr = PetscViewerASCIIPrintf(viewer," %D ",a->j[j]+fshift);CHKERRQ(ierr);}
388       }
389       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
390     }
391     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
392     for (i=0; i<m; i++) {
393       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
394         if (a->j[j] >= i) {
395 #if defined(PETSC_USE_COMPLEX)
396           if (PetscImaginaryPart(a->a[j]) != 0.0 || PetscRealPart(a->a[j]) != 0.0) {
397             ierr = PetscViewerASCIIPrintf(viewer," %18.16e %18.16e ",PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
398           }
399 #else
400           if (a->a[j] != 0.0) {ierr = PetscViewerASCIIPrintf(viewer," %18.16e ",a->a[j]);CHKERRQ(ierr);}
401 #endif
402         }
403       }
404       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
405     }
406     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
407   } else if (format == PETSC_VIEWER_ASCII_DENSE) {
408     PetscInt         cnt = 0,jcnt;
409     PetscScalar value;
410 
411     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
412     for (i=0; i<m; i++) {
413       jcnt = 0;
414       for (j=0; j<A->n; j++) {
415         if (jcnt < a->i[i+1]-a->i[i] && j == a->j[cnt]) {
416           value = a->a[cnt++];
417           jcnt++;
418         } else {
419           value = 0.0;
420         }
421 #if defined(PETSC_USE_COMPLEX)
422         ierr = PetscViewerASCIIPrintf(viewer," %7.5e+%7.5e i ",PetscRealPart(value),PetscImaginaryPart(value));CHKERRQ(ierr);
423 #else
424         ierr = PetscViewerASCIIPrintf(viewer," %7.5e ",value);CHKERRQ(ierr);
425 #endif
426       }
427       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
428     }
429     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
430   } else {
431     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
432     for (i=0; i<m; i++) {
433       ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i);CHKERRQ(ierr);
434       for (j=a->i[i]+shift; j<a->i[i+1]+shift; j++) {
435 #if defined(PETSC_USE_COMPLEX)
436         if (PetscImaginaryPart(a->a[j]) > 0.0) {
437           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
438         } else if (PetscImaginaryPart(a->a[j]) < 0.0) {
439           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i)",a->j[j]+shift,PetscRealPart(a->a[j]),-PetscImaginaryPart(a->a[j]));CHKERRQ(ierr);
440         } else {
441           ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,PetscRealPart(a->a[j]));CHKERRQ(ierr);
442         }
443 #else
444         ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",a->j[j]+shift,a->a[j]);CHKERRQ(ierr);
445 #endif
446       }
447       ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
448     }
449     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
450   }
451   ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
452   PetscFunctionReturn(0);
453 }
454 
455 #undef __FUNCT__
456 #define __FUNCT__ "MatView_SeqAIJ_Draw_Zoom"
457 PetscErrorCode MatView_SeqAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
458 {
459   Mat               A = (Mat) Aa;
460   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
461   PetscErrorCode    ierr;
462   PetscInt          i,j,m = A->m,color;
463   PetscReal         xl,yl,xr,yr,x_l,x_r,y_l,y_r,maxv = 0.0;
464   PetscViewer       viewer;
465   PetscViewerFormat format;
466 
467   PetscFunctionBegin;
468   ierr = PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer);CHKERRQ(ierr);
469   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
470 
471   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
472   /* loop over matrix elements drawing boxes */
473 
474   if (format != PETSC_VIEWER_DRAW_CONTOUR) {
475     /* Blue for negative, Cyan for zero and  Red for positive */
476     color = PETSC_DRAW_BLUE;
477     for (i=0; i<m; i++) {
478       y_l = m - i - 1.0; y_r = y_l + 1.0;
479       for (j=a->i[i]; j<a->i[i+1]; j++) {
480         x_l = a->j[j] ; x_r = x_l + 1.0;
481 #if defined(PETSC_USE_COMPLEX)
482         if (PetscRealPart(a->a[j]) >=  0.) continue;
483 #else
484         if (a->a[j] >=  0.) continue;
485 #endif
486         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
487       }
488     }
489     color = PETSC_DRAW_CYAN;
490     for (i=0; i<m; i++) {
491       y_l = m - i - 1.0; y_r = y_l + 1.0;
492       for (j=a->i[i]; j<a->i[i+1]; j++) {
493         x_l = a->j[j]; x_r = x_l + 1.0;
494         if (a->a[j] !=  0.) continue;
495         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
496       }
497     }
498     color = PETSC_DRAW_RED;
499     for (i=0; i<m; i++) {
500       y_l = m - i - 1.0; y_r = y_l + 1.0;
501       for (j=a->i[i]; j<a->i[i+1]; j++) {
502         x_l = a->j[j]; x_r = x_l + 1.0;
503 #if defined(PETSC_USE_COMPLEX)
504         if (PetscRealPart(a->a[j]) <=  0.) continue;
505 #else
506         if (a->a[j] <=  0.) continue;
507 #endif
508         ierr = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
509       }
510     }
511   } else {
512     /* use contour shading to indicate magnitude of values */
513     /* first determine max of all nonzero values */
514     PetscInt    nz = a->nz,count;
515     PetscDraw   popup;
516     PetscReal scale;
517 
518     for (i=0; i<nz; i++) {
519       if (PetscAbsScalar(a->a[i]) > maxv) maxv = PetscAbsScalar(a->a[i]);
520     }
521     scale = (245.0 - PETSC_DRAW_BASIC_COLORS)/maxv;
522     ierr  = PetscDrawGetPopup(draw,&popup);CHKERRQ(ierr);
523     if (popup) {ierr  = PetscDrawScalePopup(popup,0.0,maxv);CHKERRQ(ierr);}
524     count = 0;
525     for (i=0; i<m; i++) {
526       y_l = m - i - 1.0; y_r = y_l + 1.0;
527       for (j=a->i[i]; j<a->i[i+1]; j++) {
528         x_l = a->j[j]; x_r = x_l + 1.0;
529         color = PETSC_DRAW_BASIC_COLORS + (PetscInt)(scale*PetscAbsScalar(a->a[count]));
530         ierr  = PetscDrawRectangle(draw,x_l,y_l,x_r,y_r,color,color,color,color);CHKERRQ(ierr);
531         count++;
532       }
533     }
534   }
535   PetscFunctionReturn(0);
536 }
537 
538 #undef __FUNCT__
539 #define __FUNCT__ "MatView_SeqAIJ_Draw"
540 PetscErrorCode MatView_SeqAIJ_Draw(Mat A,PetscViewer viewer)
541 {
542   PetscErrorCode ierr;
543   PetscDraw      draw;
544   PetscReal      xr,yr,xl,yl,h,w;
545   PetscTruth     isnull;
546 
547   PetscFunctionBegin;
548   ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
549   ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr);
550   if (isnull) PetscFunctionReturn(0);
551 
552   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer);CHKERRQ(ierr);
553   xr  = A->n; yr = A->m; h = yr/10.0; w = xr/10.0;
554   xr += w;    yr += h;  xl = -w;     yl = -h;
555   ierr = PetscDrawSetCoordinates(draw,xl,yl,xr,yr);CHKERRQ(ierr);
556   ierr = PetscDrawZoom(draw,MatView_SeqAIJ_Draw_Zoom,A);CHKERRQ(ierr);
557   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",PETSC_NULL);CHKERRQ(ierr);
558   PetscFunctionReturn(0);
559 }
560 
561 #undef __FUNCT__
562 #define __FUNCT__ "MatView_SeqAIJ"
563 PetscErrorCode MatView_SeqAIJ(Mat A,PetscViewer viewer)
564 {
565   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
566   PetscErrorCode ierr;
567   PetscTruth     issocket,iascii,isbinary,isdraw;
568 
569   PetscFunctionBegin;
570   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_SOCKET,&issocket);CHKERRQ(ierr);
571   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&iascii);CHKERRQ(ierr);
572   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_BINARY,&isbinary);CHKERRQ(ierr);
573   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_DRAW,&isdraw);CHKERRQ(ierr);
574   if (iascii) {
575     ierr = MatView_SeqAIJ_ASCII(A,viewer);CHKERRQ(ierr);
576 #if defined(PETSC_HAVE_SOCKET)
577   } else if (issocket) {
578     ierr = PetscViewerSocketPutSparse_Private(viewer,A->m,A->n,a->nz,a->a,a->i,a->j);CHKERRQ(ierr);
579 #endif
580   } else if (isbinary) {
581     ierr = MatView_SeqAIJ_Binary(A,viewer);CHKERRQ(ierr);
582   } else if (isdraw) {
583     ierr = MatView_SeqAIJ_Draw(A,viewer);CHKERRQ(ierr);
584   } else {
585     SETERRQ1(PETSC_ERR_SUP,"Viewer type %s not supported by SeqAIJ matrices",((PetscObject)viewer)->type_name);
586   }
587   ierr = MatView_Inode(A,viewer);CHKERRQ(ierr);
588   PetscFunctionReturn(0);
589 }
590 
591 #undef __FUNCT__
592 #define __FUNCT__ "MatAssemblyEnd_SeqAIJ"
593 PetscErrorCode MatAssemblyEnd_SeqAIJ(Mat A,MatAssemblyType mode)
594 {
595   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
596   PetscErrorCode ierr;
597   PetscInt       fshift = 0,i,j,*ai = a->i,*aj = a->j,*imax = a->imax;
598   PetscInt       m = A->m,*ip,N,*ailen = a->ilen,rmax = 0;
599   PetscScalar    *aa = a->a,*ap;
600   PetscReal      ratio=0.6;
601 
602   PetscFunctionBegin;
603   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
604 
605   if (m) rmax = ailen[0]; /* determine row with most nonzeros */
606   for (i=1; i<m; i++) {
607     /* move each row back by the amount of empty slots (fshift) before it*/
608     fshift += imax[i-1] - ailen[i-1];
609     rmax   = PetscMax(rmax,ailen[i]);
610     if (fshift) {
611       ip = aj + ai[i] ;
612       ap = aa + ai[i] ;
613       N  = ailen[i];
614       for (j=0; j<N; j++) {
615         ip[j-fshift] = ip[j];
616         ap[j-fshift] = ap[j];
617       }
618     }
619     ai[i] = ai[i-1] + ailen[i-1];
620   }
621   if (m) {
622     fshift += imax[m-1] - ailen[m-1];
623     ai[m]  = ai[m-1] + ailen[m-1];
624   }
625   /* reset ilen and imax for each row */
626   for (i=0; i<m; i++) {
627     ailen[i] = imax[i] = ai[i+1] - ai[i];
628   }
629   a->nz = ai[m];
630 
631   /* diagonals may have moved, so kill the diagonal pointers */
632   if (fshift && a->diag) {
633     ierr = PetscFree(a->diag);CHKERRQ(ierr);
634     ierr = PetscLogObjectMemory(A,-(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
635     a->diag = 0;
636   }
637   ierr = PetscLogInfo((A,"MatAssemblyEnd_SeqAIJ:Matrix size: %D X %D; storage space: %D unneeded,%D used\n",m,A->n,fshift,a->nz));CHKERRQ(ierr);
638   ierr = PetscLogInfo((A,"MatAssemblyEnd_SeqAIJ:Number of mallocs during MatSetValues() is %D\n",a->reallocs));CHKERRQ(ierr);
639   ierr = PetscLogInfo((A,"MatAssemblyEnd_SeqAIJ:Maximum nonzeros in any row is %D\n",rmax));CHKERRQ(ierr);
640   a->reallocs          = 0;
641   A->info.nz_unneeded  = (double)fshift;
642   a->rmax              = rmax;
643 
644   /* check for zero rows. If found a large number of zero rows, use CompressedRow functions */
645   ierr = Mat_CheckCompressedRow(A,&a->compressedrow,a->i,m,ratio);CHKERRQ(ierr);
646   A->same_nonzero = PETSC_TRUE;
647 
648   ierr = MatAssemblyEnd_Inode(A,mode);CHKERRQ(ierr);
649   PetscFunctionReturn(0);
650 }
651 
652 #undef __FUNCT__
653 #define __FUNCT__ "MatZeroEntries_SeqAIJ"
654 PetscErrorCode MatZeroEntries_SeqAIJ(Mat A)
655 {
656   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
657   PetscErrorCode ierr;
658 
659   PetscFunctionBegin;
660   ierr = PetscMemzero(a->a,(a->i[A->m])*sizeof(PetscScalar));CHKERRQ(ierr);
661   PetscFunctionReturn(0);
662 }
663 
664 #undef __FUNCT__
665 #define __FUNCT__ "MatDestroy_SeqAIJ"
666 PetscErrorCode MatDestroy_SeqAIJ(Mat A)
667 {
668   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
669   PetscErrorCode ierr;
670 
671   PetscFunctionBegin;
672 #if defined(PETSC_USE_LOG)
673   PetscLogObjectState((PetscObject)A,"Rows=%D, Cols=%D, NZ=%D",A->m,A->n,a->nz);
674 #endif
675   if (a->freedata) {
676     if (!a->singlemalloc) {
677       if (a->a) {ierr = PetscFree(a->a);CHKERRQ(ierr);}
678       if (a->i) {ierr = PetscFree(a->i);CHKERRQ(ierr);}
679       if (a->j) {ierr = PetscFree(a->j);CHKERRQ(ierr);}
680     } else {
681       ierr = PetscFree3(a->a,a->j,a->i);CHKERRQ(ierr);
682     }
683   }
684   if (a->row) {
685     ierr = ISDestroy(a->row);CHKERRQ(ierr);
686   }
687   if (a->col) {
688     ierr = ISDestroy(a->col);CHKERRQ(ierr);
689   }
690   if (a->diag) {ierr = PetscFree(a->diag);CHKERRQ(ierr);}
691   if (a->ilen) {ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);}
692   if (a->idiag) {ierr = PetscFree(a->idiag);CHKERRQ(ierr);}
693   if (a->solve_work) {ierr = PetscFree(a->solve_work);CHKERRQ(ierr);}
694   if (a->icol) {ierr = ISDestroy(a->icol);CHKERRQ(ierr);}
695   if (a->saved_values) {ierr = PetscFree(a->saved_values);CHKERRQ(ierr);}
696   if (a->coloring) {ierr = ISColoringDestroy(a->coloring);CHKERRQ(ierr);}
697   if (a->xtoy) {ierr = PetscFree(a->xtoy);CHKERRQ(ierr);}
698   if (a->compressedrow.use){ierr = PetscFree(a->compressedrow.i);}
699 
700   ierr = MatDestroy_Inode(A);CHKERRQ(ierr);
701 
702   ierr = PetscFree(a);CHKERRQ(ierr);
703 
704   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatSeqAIJSetColumnIndices_C","",PETSC_NULL);CHKERRQ(ierr);
705   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatStoreValues_C","",PETSC_NULL);CHKERRQ(ierr);
706   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatRetrieveValues_C","",PETSC_NULL);CHKERRQ(ierr);
707   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatConvert_seqaij_seqsbaij_C","",PETSC_NULL);CHKERRQ(ierr);
708   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatConvert_seqaij_seqbaij_C","",PETSC_NULL);CHKERRQ(ierr);
709   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatIsTranspose_C","",PETSC_NULL);CHKERRQ(ierr);
710   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatSeqAIJSetPreallocation_C","",PETSC_NULL);CHKERRQ(ierr);
711   ierr = PetscObjectComposeFunctionDynamic((PetscObject)A,"MatReorderForNonzeroDiagonal_C","",PETSC_NULL);CHKERRQ(ierr);
712   PetscFunctionReturn(0);
713 }
714 
715 #undef __FUNCT__
716 #define __FUNCT__ "MatCompress_SeqAIJ"
717 PetscErrorCode MatCompress_SeqAIJ(Mat A)
718 {
719   PetscFunctionBegin;
720   PetscFunctionReturn(0);
721 }
722 
723 #undef __FUNCT__
724 #define __FUNCT__ "MatSetOption_SeqAIJ"
725 PetscErrorCode MatSetOption_SeqAIJ(Mat A,MatOption op)
726 {
727   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
728   PetscErrorCode ierr;
729 
730   PetscFunctionBegin;
731   switch (op) {
732     case MAT_ROW_ORIENTED:
733       a->roworiented       = PETSC_TRUE;
734       break;
735     case MAT_KEEP_ZEROED_ROWS:
736       a->keepzeroedrows    = PETSC_TRUE;
737       break;
738     case MAT_COLUMN_ORIENTED:
739       a->roworiented       = PETSC_FALSE;
740       break;
741     case MAT_COLUMNS_SORTED:
742       a->sorted            = PETSC_TRUE;
743       break;
744     case MAT_COLUMNS_UNSORTED:
745       a->sorted            = PETSC_FALSE;
746       break;
747     case MAT_NO_NEW_NONZERO_LOCATIONS:
748       a->nonew             = 1;
749       break;
750     case MAT_NEW_NONZERO_LOCATION_ERR:
751       a->nonew             = -1;
752       break;
753     case MAT_NEW_NONZERO_ALLOCATION_ERR:
754       a->nonew             = -2;
755       break;
756     case MAT_YES_NEW_NONZERO_LOCATIONS:
757       a->nonew             = 0;
758       break;
759     case MAT_IGNORE_ZERO_ENTRIES:
760       a->ignorezeroentries = PETSC_TRUE;
761       break;
762     case MAT_USE_COMPRESSEDROW:
763       a->compressedrow.use = PETSC_TRUE;
764       break;
765     case MAT_DO_NOT_USE_COMPRESSEDROW:
766       a->compressedrow.use = PETSC_FALSE;
767       break;
768     case MAT_ROWS_SORTED:
769     case MAT_ROWS_UNSORTED:
770     case MAT_YES_NEW_DIAGONALS:
771     case MAT_IGNORE_OFF_PROC_ENTRIES:
772     case MAT_USE_HASH_TABLE:
773       ierr = PetscLogInfo((A,"MatSetOption_SeqAIJ:Option ignored\n"));CHKERRQ(ierr);
774       break;
775     case MAT_NO_NEW_DIAGONALS:
776       SETERRQ(PETSC_ERR_SUP,"MAT_NO_NEW_DIAGONALS");
777     default:
778       break;
779   }
780   ierr = MatSetOption_Inode(A,op);CHKERRQ(ierr);
781   PetscFunctionReturn(0);
782 }
783 
784 #undef __FUNCT__
785 #define __FUNCT__ "MatGetDiagonal_SeqAIJ"
786 PetscErrorCode MatGetDiagonal_SeqAIJ(Mat A,Vec v)
787 {
788   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
789   PetscErrorCode ierr;
790   PetscInt       i,j,n;
791   PetscScalar    *x,zero = 0.0;
792 
793   PetscFunctionBegin;
794   ierr = VecSet(&zero,v);CHKERRQ(ierr);
795   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
796   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
797   if (n != A->m) SETERRQ(PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
798   for (i=0; i<A->m; i++) {
799     for (j=a->i[i]; j<a->i[i+1]; j++) {
800       if (a->j[j] == i) {
801         x[i] = a->a[j];
802         break;
803       }
804     }
805   }
806   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
807   PetscFunctionReturn(0);
808 }
809 
810 #undef __FUNCT__
811 #define __FUNCT__ "MatMultTransposeAdd_SeqAIJ"
812 PetscErrorCode MatMultTransposeAdd_SeqAIJ(Mat A,Vec xx,Vec zz,Vec yy)
813 {
814   Mat_SeqAIJ        *a = (Mat_SeqAIJ*)A->data;
815   PetscScalar       *x,*y;
816   PetscErrorCode    ierr;
817   PetscInt          m = A->m;
818 #if !defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
819   PetscScalar       *v,alpha;
820   PetscInt          n,i,*idx,*ii,*ridx=PETSC_NULL;
821   Mat_CompressedRow cprow = a->compressedrow;
822   PetscTruth        usecprow = cprow.use;
823 #endif
824 
825   PetscFunctionBegin;
826   if (zz != yy) {ierr = VecCopy(zz,yy);CHKERRQ(ierr);}
827   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
828   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
829 
830 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTTRANSPOSEAIJ)
831   fortranmulttransposeaddaij_(&m,x,a->i,a->j,a->a,y);
832 #else
833   if (usecprow){
834     m    = cprow.nrows;
835     ii   = cprow.i;
836     ridx = cprow.rindex;
837   } else {
838     ii = a->i;
839   }
840   for (i=0; i<m; i++) {
841     idx   = a->j + ii[i] ;
842     v     = a->a + ii[i] ;
843     n     = ii[i+1] - ii[i];
844     if (usecprow){
845       alpha = x[ridx[i]];
846     } else {
847       alpha = x[i];
848     }
849     while (n-->0) {y[*idx++] += alpha * *v++;}
850   }
851 #endif
852   ierr = PetscLogFlops(2*a->nz);CHKERRQ(ierr);
853   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
854   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
855   PetscFunctionReturn(0);
856 }
857 
858 #undef __FUNCT__
859 #define __FUNCT__ "MatMultTranspose_SeqAIJ"
860 PetscErrorCode MatMultTranspose_SeqAIJ(Mat A,Vec xx,Vec yy)
861 {
862   PetscScalar    zero = 0.0;
863   PetscErrorCode ierr;
864 
865   PetscFunctionBegin;
866   ierr = VecSet(&zero,yy);CHKERRQ(ierr);
867   ierr = MatMultTransposeAdd_SeqAIJ(A,xx,yy,yy);CHKERRQ(ierr);
868   PetscFunctionReturn(0);
869 }
870 
871 
872 #undef __FUNCT__
873 #define __FUNCT__ "MatMult_SeqAIJ"
874 PetscErrorCode MatMult_SeqAIJ(Mat A,Vec xx,Vec yy)
875 {
876   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
877   PetscScalar    *x,*y,*aa;
878   PetscErrorCode ierr;
879   PetscInt       m=A->m,*aj,*ii;
880 #if !defined(PETSC_USE_FORTRAN_KERNEL_MULTAIJ)
881   PetscInt       n,i,jrow,j,*ridx=PETSC_NULL;
882   PetscScalar    sum;
883   PetscTruth     usecprow=a->compressedrow.use;
884 #endif
885 
886 #if defined(PETSC_HAVE_PRAGMA_DISJOINT)
887 #pragma disjoint(*x,*y,*aa)
888 #endif
889 
890   PetscFunctionBegin;
891   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
892   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
893   aj  = a->j;
894   aa    = a->a;
895   ii   = a->i;
896 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTAIJ)
897   fortranmultaij_(&m,x,ii,aj,aa,y);
898 #else
899   if (usecprow){ /* use compressed row format */
900     m    = a->compressedrow.nrows;
901     ii   = a->compressedrow.i;
902     ridx = a->compressedrow.rindex;
903     for (i=0; i<m; i++){
904       n   = ii[i+1] - ii[i];
905       aj  = a->j + ii[i];
906       aa  = a->a + ii[i];
907       sum = 0.0;
908       for (j=0; j<n; j++) sum += (*aa++)*x[*aj++];
909       y[*ridx++] = sum;
910     }
911   } else { /* do not use compressed row format */
912     for (i=0; i<m; i++) {
913       jrow = ii[i];
914       n    = ii[i+1] - jrow;
915       sum  = 0.0;
916       for (j=0; j<n; j++) {
917         sum += aa[jrow]*x[aj[jrow]]; jrow++;
918       }
919       y[i] = sum;
920     }
921   }
922 #endif
923   ierr = PetscLogFlops(2*a->nz - m);CHKERRQ(ierr);
924   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
925   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
926   PetscFunctionReturn(0);
927 }
928 
929 #undef __FUNCT__
930 #define __FUNCT__ "MatMultAdd_SeqAIJ"
931 PetscErrorCode MatMultAdd_SeqAIJ(Mat A,Vec xx,Vec yy,Vec zz)
932 {
933   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
934   PetscScalar    *x,*y,*z,*aa;
935   PetscErrorCode ierr;
936   PetscInt       m = A->m,*aj,*ii;
937 #if !defined(PETSC_USE_FORTRAN_KERNEL_MULTADDAIJ)
938   PetscInt       n,i,jrow,j,*ridx=PETSC_NULL;
939   PetscScalar    sum;
940   PetscTruth     usecprow=a->compressedrow.use;
941 #endif
942 
943   PetscFunctionBegin;
944   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
945   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
946   if (zz != yy) {
947     ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
948   } else {
949     z = y;
950   }
951 
952   aj  = a->j;
953   aa  = a->a;
954   ii  = a->i;
955 #if defined(PETSC_USE_FORTRAN_KERNEL_MULTADDAIJ)
956   fortranmultaddaij_(&m,x,ii,aj,aa,y,z);
957 #else
958   if (usecprow){ /* use compressed row format */
959     if (zz != yy){
960       ierr = PetscMemcpy(z,y,m*sizeof(PetscScalar));CHKERRQ(ierr);
961     }
962     m    = a->compressedrow.nrows;
963     ii   = a->compressedrow.i;
964     ridx = a->compressedrow.rindex;
965     for (i=0; i<m; i++){
966       n  = ii[i+1] - ii[i];
967       aj  = a->j + ii[i];
968       aa  = a->a + ii[i];
969       sum = y[*ridx];
970       for (j=0; j<n; j++) sum += (*aa++)*x[*aj++];
971       z[*ridx++] = sum;
972     }
973   } else { /* do not use compressed row format */
974     for (i=0; i<m; i++) {
975       jrow = ii[i];
976       n    = ii[i+1] - jrow;
977       sum  = y[i];
978       for (j=0; j<n; j++) {
979         sum += aa[jrow]*x[aj[jrow]]; jrow++;
980       }
981       z[i] = sum;
982     }
983   }
984 #endif
985   ierr = PetscLogFlops(2*a->nz);CHKERRQ(ierr);
986   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
987   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
988   if (zz != yy) {
989     ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
990   }
991   PetscFunctionReturn(0);
992 }
993 
994 /*
995      Adds diagonal pointers to sparse matrix structure.
996 */
997 #undef __FUNCT__
998 #define __FUNCT__ "MatMarkDiagonal_SeqAIJ"
999 PetscErrorCode MatMarkDiagonal_SeqAIJ(Mat A)
1000 {
1001   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1002   PetscErrorCode ierr;
1003   PetscInt       i,j,*diag,m = A->m;
1004 
1005   PetscFunctionBegin;
1006   if (a->diag) PetscFunctionReturn(0);
1007 
1008   ierr = PetscMalloc((m+1)*sizeof(PetscInt),&diag);CHKERRQ(ierr);
1009   ierr = PetscLogObjectMemory(A,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
1010   for (i=0; i<A->m; i++) {
1011     diag[i] = a->i[i+1];
1012     for (j=a->i[i]; j<a->i[i+1]; j++) {
1013       if (a->j[j] == i) {
1014         diag[i] = j;
1015         break;
1016       }
1017     }
1018   }
1019   a->diag = diag;
1020   PetscFunctionReturn(0);
1021 }
1022 
1023 /*
1024      Checks for missing diagonals
1025 */
1026 #undef __FUNCT__
1027 #define __FUNCT__ "MatMissingDiagonal_SeqAIJ"
1028 PetscErrorCode MatMissingDiagonal_SeqAIJ(Mat A)
1029 {
1030   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1031   PetscErrorCode ierr;
1032   PetscInt       *diag,*jj = a->j,i;
1033 
1034   PetscFunctionBegin;
1035   ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1036   diag = a->diag;
1037   for (i=0; i<A->m; i++) {
1038     if (jj[diag[i]] != i) {
1039       SETERRQ1(PETSC_ERR_PLIB,"Matrix is missing diagonal number %D",i);
1040     }
1041   }
1042   PetscFunctionReturn(0);
1043 }
1044 
1045 #undef __FUNCT__
1046 #define __FUNCT__ "MatRelax_SeqAIJ"
1047 PetscErrorCode MatRelax_SeqAIJ(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
1048 {
1049   Mat_SeqAIJ         *a = (Mat_SeqAIJ*)A->data;
1050   PetscScalar        *x,d,*xs,sum,*t,scale,*idiag=0,*mdiag;
1051   const PetscScalar  *v = a->a, *b, *bs,*xb, *ts;
1052   PetscErrorCode     ierr;
1053   PetscInt           n = A->n,m = A->m,i;
1054   const PetscInt     *idx,*diag;
1055 
1056   PetscFunctionBegin;
1057   its = its*lits;
1058   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
1059 
1060   if (!a->diag) {ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);}
1061   diag = a->diag;
1062   if (!a->idiag) {
1063     ierr     = PetscMalloc(3*m*sizeof(PetscScalar),&a->idiag);CHKERRQ(ierr);
1064     a->ssor  = a->idiag + m;
1065     mdiag    = a->ssor + m;
1066 
1067     v        = a->a;
1068 
1069     /* this is wrong when fshift omega changes each iteration */
1070     if (omega == 1.0 && !fshift) {
1071       for (i=0; i<m; i++) {
1072         mdiag[i]    = v[diag[i]];
1073         a->idiag[i] = 1.0/v[diag[i]];
1074       }
1075       ierr = PetscLogFlops(m);CHKERRQ(ierr);
1076     } else {
1077       for (i=0; i<m; i++) {
1078         mdiag[i]    = v[diag[i]];
1079         a->idiag[i] = omega/(fshift + v[diag[i]]);
1080       }
1081       ierr = PetscLogFlops(2*m);CHKERRQ(ierr);
1082     }
1083   }
1084   t     = a->ssor;
1085   idiag = a->idiag;
1086   mdiag = a->idiag + 2*m;
1087 
1088   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1089   if (xx != bb) {
1090     ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
1091   } else {
1092     b = x;
1093   }
1094 
1095   /* We count flops by assuming the upper triangular and lower triangular parts have the same number of nonzeros */
1096   xs   = x;
1097   if (flag == SOR_APPLY_UPPER) {
1098    /* apply (U + D/omega) to the vector */
1099     bs = b;
1100     for (i=0; i<m; i++) {
1101         d    = fshift + a->a[diag[i]];
1102         n    = a->i[i+1] - diag[i] - 1;
1103         idx  = a->j + diag[i] + 1;
1104         v    = a->a + diag[i] + 1;
1105         sum  = b[i]*d/omega;
1106         SPARSEDENSEDOT(sum,bs,v,idx,n);
1107         x[i] = sum;
1108     }
1109     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1110     if (bb != xx) {ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);}
1111     ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1112     PetscFunctionReturn(0);
1113   }
1114 
1115 
1116     /* Let  A = L + U + D; where L is lower trianglar,
1117     U is upper triangular, E is diagonal; This routine applies
1118 
1119             (L + E)^{-1} A (U + E)^{-1}
1120 
1121     to a vector efficiently using Eisenstat's trick. This is for
1122     the case of SSOR preconditioner, so E is D/omega where omega
1123     is the relaxation factor.
1124     */
1125 
1126   if (flag == SOR_APPLY_LOWER) {
1127     SETERRQ(PETSC_ERR_SUP,"SOR_APPLY_LOWER is not implemented");
1128   } else if (flag & SOR_EISENSTAT) {
1129     /* Let  A = L + U + D; where L is lower trianglar,
1130     U is upper triangular, E is diagonal; This routine applies
1131 
1132             (L + E)^{-1} A (U + E)^{-1}
1133 
1134     to a vector efficiently using Eisenstat's trick. This is for
1135     the case of SSOR preconditioner, so E is D/omega where omega
1136     is the relaxation factor.
1137     */
1138     scale = (2.0/omega) - 1.0;
1139 
1140     /*  x = (E + U)^{-1} b */
1141     for (i=m-1; i>=0; i--) {
1142       n    = a->i[i+1] - diag[i] - 1;
1143       idx  = a->j + diag[i] + 1;
1144       v    = a->a + diag[i] + 1;
1145       sum  = b[i];
1146       SPARSEDENSEMDOT(sum,xs,v,idx,n);
1147       x[i] = sum*idiag[i];
1148     }
1149 
1150     /*  t = b - (2*E - D)x */
1151     v = a->a;
1152     for (i=0; i<m; i++) { t[i] = b[i] - scale*(v[*diag++])*x[i]; }
1153 
1154     /*  t = (E + L)^{-1}t */
1155     ts = t;
1156     diag = a->diag;
1157     for (i=0; i<m; i++) {
1158       n    = diag[i] - a->i[i];
1159       idx  = a->j + a->i[i];
1160       v    = a->a + a->i[i];
1161       sum  = t[i];
1162       SPARSEDENSEMDOT(sum,ts,v,idx,n);
1163       t[i] = sum*idiag[i];
1164       /*  x = x + t */
1165       x[i] += t[i];
1166     }
1167 
1168     ierr = PetscLogFlops(6*m-1 + 2*a->nz);CHKERRQ(ierr);
1169     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1170     if (bb != xx) {ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);}
1171     PetscFunctionReturn(0);
1172   }
1173   if (flag & SOR_ZERO_INITIAL_GUESS) {
1174     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
1175 #if defined(PETSC_USE_FORTRAN_KERNEL_RELAXAIJ)
1176       fortranrelaxaijforwardzero_(&m,&omega,x,a->i,a->j,(PetscInt*)diag,idiag,a->a,(void*)b);
1177 #else
1178       for (i=0; i<m; i++) {
1179         n    = diag[i] - a->i[i];
1180         idx  = a->j + a->i[i];
1181         v    = a->a + a->i[i];
1182         sum  = b[i];
1183         SPARSEDENSEMDOT(sum,xs,v,idx,n);
1184         x[i] = sum*idiag[i];
1185       }
1186 #endif
1187       xb = x;
1188       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1189     } else xb = b;
1190     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
1191         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
1192       for (i=0; i<m; i++) {
1193         x[i] *= mdiag[i];
1194       }
1195       ierr = PetscLogFlops(m);CHKERRQ(ierr);
1196     }
1197     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
1198 #if defined(PETSC_USE_FORTRAN_KERNEL_RELAXAIJ)
1199       fortranrelaxaijbackwardzero_(&m,&omega,x,a->i,a->j,(PetscInt*)diag,idiag,a->a,(void*)xb);
1200 #else
1201       for (i=m-1; i>=0; i--) {
1202         n    = a->i[i+1] - diag[i] - 1;
1203         idx  = a->j + diag[i] + 1;
1204         v    = a->a + diag[i] + 1;
1205         sum  = xb[i];
1206         SPARSEDENSEMDOT(sum,xs,v,idx,n);
1207         x[i] = sum*idiag[i];
1208       }
1209 #endif
1210       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1211     }
1212     its--;
1213   }
1214   while (its--) {
1215     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
1216 #if defined(PETSC_USE_FORTRAN_KERNEL_RELAXAIJ)
1217       fortranrelaxaijforward_(&m,&omega,x,a->i,a->j,(PetscInt*)diag,a->a,(void*)b);
1218 #else
1219       for (i=0; i<m; i++) {
1220         d    = fshift + a->a[diag[i]];
1221         n    = a->i[i+1] - a->i[i];
1222         idx  = a->j + a->i[i];
1223         v    = a->a + a->i[i];
1224         sum  = b[i];
1225         SPARSEDENSEMDOT(sum,xs,v,idx,n);
1226         x[i] = (1. - omega)*x[i] + (sum + mdiag[i]*x[i])*idiag[i];
1227       }
1228 #endif
1229       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1230     }
1231     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
1232 #if defined(PETSC_USE_FORTRAN_KERNEL_RELAXAIJ)
1233       fortranrelaxaijbackward_(&m,&omega,x,a->i,a->j,(PetscInt*)diag,a->a,(void*)b);
1234 #else
1235       for (i=m-1; i>=0; i--) {
1236         d    = fshift + a->a[diag[i]];
1237         n    = a->i[i+1] - a->i[i];
1238         idx  = a->j + a->i[i];
1239         v    = a->a + a->i[i];
1240         sum  = b[i];
1241         SPARSEDENSEMDOT(sum,xs,v,idx,n);
1242         x[i] = (1. - omega)*x[i] + (sum + mdiag[i]*x[i])*idiag[i];
1243       }
1244 #endif
1245       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1246     }
1247   }
1248   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1249   if (bb != xx) {ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);}
1250   PetscFunctionReturn(0);
1251 }
1252 
1253 #undef __FUNCT__
1254 #define __FUNCT__ "MatGetInfo_SeqAIJ"
1255 PetscErrorCode MatGetInfo_SeqAIJ(Mat A,MatInfoType flag,MatInfo *info)
1256 {
1257   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1258 
1259   PetscFunctionBegin;
1260   info->rows_global    = (double)A->m;
1261   info->columns_global = (double)A->n;
1262   info->rows_local     = (double)A->m;
1263   info->columns_local  = (double)A->n;
1264   info->block_size     = 1.0;
1265   info->nz_allocated   = (double)a->maxnz;
1266   info->nz_used        = (double)a->nz;
1267   info->nz_unneeded    = (double)(a->maxnz - a->nz);
1268   info->assemblies     = (double)A->num_ass;
1269   info->mallocs        = (double)a->reallocs;
1270   info->memory         = A->mem;
1271   if (A->factor) {
1272     info->fill_ratio_given  = A->info.fill_ratio_given;
1273     info->fill_ratio_needed = A->info.fill_ratio_needed;
1274     info->factor_mallocs    = A->info.factor_mallocs;
1275   } else {
1276     info->fill_ratio_given  = 0;
1277     info->fill_ratio_needed = 0;
1278     info->factor_mallocs    = 0;
1279   }
1280   PetscFunctionReturn(0);
1281 }
1282 
1283 #undef __FUNCT__
1284 #define __FUNCT__ "MatZeroRows_SeqAIJ"
1285 PetscErrorCode MatZeroRows_SeqAIJ(Mat A,IS is,const PetscScalar *diag)
1286 {
1287   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1288   PetscErrorCode ierr;
1289   PetscInt       i,N,*rows,m = A->m - 1;
1290 
1291   PetscFunctionBegin;
1292   ierr = ISGetLocalSize(is,&N);CHKERRQ(ierr);
1293   ierr = ISGetIndices(is,&rows);CHKERRQ(ierr);
1294   if (a->keepzeroedrows) {
1295     for (i=0; i<N; i++) {
1296       if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1297       ierr = PetscMemzero(&a->a[a->i[rows[i]]],a->ilen[rows[i]]*sizeof(PetscScalar));CHKERRQ(ierr);
1298     }
1299     if (diag) {
1300       ierr = MatMissingDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1301       ierr = MatMarkDiagonal_SeqAIJ(A);CHKERRQ(ierr);
1302       for (i=0; i<N; i++) {
1303         a->a[a->diag[rows[i]]] = *diag;
1304       }
1305     }
1306     A->same_nonzero = PETSC_TRUE;
1307   } else {
1308     if (diag) {
1309       for (i=0; i<N; i++) {
1310         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1311         if (a->ilen[rows[i]] > 0) {
1312           a->ilen[rows[i]]          = 1;
1313           a->a[a->i[rows[i]]] = *diag;
1314           a->j[a->i[rows[i]]] = rows[i];
1315         } else { /* in case row was completely empty */
1316           ierr = MatSetValues_SeqAIJ(A,1,&rows[i],1,&rows[i],diag,INSERT_VALUES);CHKERRQ(ierr);
1317         }
1318       }
1319     } else {
1320       for (i=0; i<N; i++) {
1321         if (rows[i] < 0 || rows[i] > m) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range", rows[i]);
1322         a->ilen[rows[i]] = 0;
1323       }
1324     }
1325     A->same_nonzero = PETSC_FALSE;
1326   }
1327   ierr = ISRestoreIndices(is,&rows);CHKERRQ(ierr);
1328   ierr = MatAssemblyEnd_SeqAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1329   PetscFunctionReturn(0);
1330 }
1331 
1332 #undef __FUNCT__
1333 #define __FUNCT__ "MatGetRow_SeqAIJ"
1334 PetscErrorCode MatGetRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1335 {
1336   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1337   PetscInt   *itmp;
1338 
1339   PetscFunctionBegin;
1340   if (row < 0 || row >= A->m) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Row %D out of range",row);
1341 
1342   *nz = a->i[row+1] - a->i[row];
1343   if (v) *v = a->a + a->i[row];
1344   if (idx) {
1345     itmp = a->j + a->i[row];
1346     if (*nz) {
1347       *idx = itmp;
1348     }
1349     else *idx = 0;
1350   }
1351   PetscFunctionReturn(0);
1352 }
1353 
1354 /* remove this function? */
1355 #undef __FUNCT__
1356 #define __FUNCT__ "MatRestoreRow_SeqAIJ"
1357 PetscErrorCode MatRestoreRow_SeqAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1358 {
1359   PetscFunctionBegin;
1360   PetscFunctionReturn(0);
1361 }
1362 
1363 #undef __FUNCT__
1364 #define __FUNCT__ "MatNorm_SeqAIJ"
1365 PetscErrorCode MatNorm_SeqAIJ(Mat A,NormType type,PetscReal *nrm)
1366 {
1367   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1368   PetscScalar    *v = a->a;
1369   PetscReal      sum = 0.0;
1370   PetscErrorCode ierr;
1371   PetscInt       i,j;
1372 
1373   PetscFunctionBegin;
1374   if (type == NORM_FROBENIUS) {
1375     for (i=0; i<a->nz; i++) {
1376 #if defined(PETSC_USE_COMPLEX)
1377       sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
1378 #else
1379       sum += (*v)*(*v); v++;
1380 #endif
1381     }
1382     *nrm = sqrt(sum);
1383   } else if (type == NORM_1) {
1384     PetscReal *tmp;
1385     PetscInt    *jj = a->j;
1386     ierr = PetscMalloc((A->n+1)*sizeof(PetscReal),&tmp);CHKERRQ(ierr);
1387     ierr = PetscMemzero(tmp,A->n*sizeof(PetscReal));CHKERRQ(ierr);
1388     *nrm = 0.0;
1389     for (j=0; j<a->nz; j++) {
1390         tmp[*jj++] += PetscAbsScalar(*v);  v++;
1391     }
1392     for (j=0; j<A->n; j++) {
1393       if (tmp[j] > *nrm) *nrm = tmp[j];
1394     }
1395     ierr = PetscFree(tmp);CHKERRQ(ierr);
1396   } else if (type == NORM_INFINITY) {
1397     *nrm = 0.0;
1398     for (j=0; j<A->m; j++) {
1399       v = a->a + a->i[j];
1400       sum = 0.0;
1401       for (i=0; i<a->i[j+1]-a->i[j]; i++) {
1402         sum += PetscAbsScalar(*v); v++;
1403       }
1404       if (sum > *nrm) *nrm = sum;
1405     }
1406   } else {
1407     SETERRQ(PETSC_ERR_SUP,"No support for two norm");
1408   }
1409   PetscFunctionReturn(0);
1410 }
1411 
1412 #undef __FUNCT__
1413 #define __FUNCT__ "MatTranspose_SeqAIJ"
1414 PetscErrorCode MatTranspose_SeqAIJ(Mat A,Mat *B)
1415 {
1416   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1417   Mat            C;
1418   PetscErrorCode ierr;
1419   PetscInt       i,*aj = a->j,*ai = a->i,m = A->m,len,*col;
1420   PetscScalar    *array = a->a;
1421 
1422   PetscFunctionBegin;
1423   if (!B && m != A->n) SETERRQ(PETSC_ERR_ARG_SIZ,"Square matrix only for in-place");
1424   ierr = PetscMalloc((1+A->n)*sizeof(PetscInt),&col);CHKERRQ(ierr);
1425   ierr = PetscMemzero(col,(1+A->n)*sizeof(PetscInt));CHKERRQ(ierr);
1426 
1427   for (i=0; i<ai[m]; i++) col[aj[i]] += 1;
1428   ierr = MatCreate(A->comm,A->n,m,A->n,m,&C);CHKERRQ(ierr);
1429   ierr = MatSetType(C,A->type_name);CHKERRQ(ierr);
1430   ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,col);CHKERRQ(ierr);
1431   ierr = PetscFree(col);CHKERRQ(ierr);
1432   for (i=0; i<m; i++) {
1433     len    = ai[i+1]-ai[i];
1434     ierr   = MatSetValues(C,len,aj,1,&i,array,INSERT_VALUES);CHKERRQ(ierr);
1435     array += len;
1436     aj    += len;
1437   }
1438 
1439   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1440   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1441 
1442   if (B) {
1443     *B = C;
1444   } else {
1445     ierr = MatHeaderCopy(A,C);CHKERRQ(ierr);
1446   }
1447   PetscFunctionReturn(0);
1448 }
1449 
1450 EXTERN_C_BEGIN
1451 #undef __FUNCT__
1452 #define __FUNCT__ "MatIsTranspose_SeqAIJ"
1453 PetscErrorCode PETSCMAT_DLLEXPORT MatIsTranspose_SeqAIJ(Mat A,Mat B,PetscReal tol,PetscTruth *f)
1454 {
1455   Mat_SeqAIJ     *aij = (Mat_SeqAIJ *) A->data,*bij = (Mat_SeqAIJ*) A->data;
1456   PetscInt       *adx,*bdx,*aii,*bii,*aptr,*bptr; PetscScalar *va,*vb;
1457   PetscErrorCode ierr;
1458   PetscInt       ma,na,mb,nb, i;
1459 
1460   PetscFunctionBegin;
1461   bij = (Mat_SeqAIJ *) B->data;
1462 
1463   ierr = MatGetSize(A,&ma,&na);CHKERRQ(ierr);
1464   ierr = MatGetSize(B,&mb,&nb);CHKERRQ(ierr);
1465   if (ma!=nb || na!=mb){
1466     *f = PETSC_FALSE;
1467     PetscFunctionReturn(0);
1468   }
1469   aii = aij->i; bii = bij->i;
1470   adx = aij->j; bdx = bij->j;
1471   va  = aij->a; vb = bij->a;
1472   ierr = PetscMalloc(ma*sizeof(PetscInt),&aptr);CHKERRQ(ierr);
1473   ierr = PetscMalloc(mb*sizeof(PetscInt),&bptr);CHKERRQ(ierr);
1474   for (i=0; i<ma; i++) aptr[i] = aii[i];
1475   for (i=0; i<mb; i++) bptr[i] = bii[i];
1476 
1477   *f = PETSC_TRUE;
1478   for (i=0; i<ma; i++) {
1479     while (aptr[i]<aii[i+1]) {
1480       PetscInt         idc,idr;
1481       PetscScalar vc,vr;
1482       /* column/row index/value */
1483       idc = adx[aptr[i]];
1484       idr = bdx[bptr[idc]];
1485       vc  = va[aptr[i]];
1486       vr  = vb[bptr[idc]];
1487       if (i!=idr || PetscAbsScalar(vc-vr) > tol) {
1488 	*f = PETSC_FALSE;
1489         goto done;
1490       } else {
1491 	aptr[i]++;
1492         if (B || i!=idc) bptr[idc]++;
1493       }
1494     }
1495   }
1496  done:
1497   ierr = PetscFree(aptr);CHKERRQ(ierr);
1498   if (B) {
1499     ierr = PetscFree(bptr);CHKERRQ(ierr);
1500   }
1501   PetscFunctionReturn(0);
1502 }
1503 EXTERN_C_END
1504 
1505 #undef __FUNCT__
1506 #define __FUNCT__ "MatIsSymmetric_SeqAIJ"
1507 PetscErrorCode MatIsSymmetric_SeqAIJ(Mat A,PetscReal tol,PetscTruth *f)
1508 {
1509   PetscErrorCode ierr;
1510   PetscFunctionBegin;
1511   ierr = MatIsTranspose_SeqAIJ(A,A,tol,f);CHKERRQ(ierr);
1512   PetscFunctionReturn(0);
1513 }
1514 
1515 #undef __FUNCT__
1516 #define __FUNCT__ "MatDiagonalScale_SeqAIJ"
1517 PetscErrorCode MatDiagonalScale_SeqAIJ(Mat A,Vec ll,Vec rr)
1518 {
1519   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1520   PetscScalar    *l,*r,x,*v;
1521   PetscErrorCode ierr;
1522   PetscInt       i,j,m = A->m,n = A->n,M,nz = a->nz,*jj;
1523 
1524   PetscFunctionBegin;
1525   if (ll) {
1526     /* The local size is used so that VecMPI can be passed to this routine
1527        by MatDiagonalScale_MPIAIJ */
1528     ierr = VecGetLocalSize(ll,&m);CHKERRQ(ierr);
1529     if (m != A->m) SETERRQ(PETSC_ERR_ARG_SIZ,"Left scaling vector wrong length");
1530     ierr = VecGetArray(ll,&l);CHKERRQ(ierr);
1531     v = a->a;
1532     for (i=0; i<m; i++) {
1533       x = l[i];
1534       M = a->i[i+1] - a->i[i];
1535       for (j=0; j<M; j++) { (*v++) *= x;}
1536     }
1537     ierr = VecRestoreArray(ll,&l);CHKERRQ(ierr);
1538     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
1539   }
1540   if (rr) {
1541     ierr = VecGetLocalSize(rr,&n);CHKERRQ(ierr);
1542     if (n != A->n) SETERRQ(PETSC_ERR_ARG_SIZ,"Right scaling vector wrong length");
1543     ierr = VecGetArray(rr,&r);CHKERRQ(ierr);
1544     v = a->a; jj = a->j;
1545     for (i=0; i<nz; i++) {
1546       (*v++) *= r[*jj++];
1547     }
1548     ierr = VecRestoreArray(rr,&r);CHKERRQ(ierr);
1549     ierr = PetscLogFlops(nz);CHKERRQ(ierr);
1550   }
1551   PetscFunctionReturn(0);
1552 }
1553 
1554 #undef __FUNCT__
1555 #define __FUNCT__ "MatGetSubMatrix_SeqAIJ"
1556 PetscErrorCode MatGetSubMatrix_SeqAIJ(Mat A,IS isrow,IS iscol,PetscInt csize,MatReuse scall,Mat *B)
1557 {
1558   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data,*c;
1559   PetscErrorCode ierr;
1560   PetscInt       *smap,i,k,kstart,kend,oldcols = A->n,*lens;
1561   PetscInt       row,mat_i,*mat_j,tcol,first,step,*mat_ilen,sum,lensi;
1562   PetscInt       *irow,*icol,nrows,ncols;
1563   PetscInt       *starts,*j_new,*i_new,*aj = a->j,*ai = a->i,ii,*ailen = a->ilen;
1564   PetscScalar    *a_new,*mat_a;
1565   Mat            C;
1566   PetscTruth     stride;
1567 
1568   PetscFunctionBegin;
1569   ierr = ISSorted(isrow,(PetscTruth*)&i);CHKERRQ(ierr);
1570   if (!i) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"ISrow is not sorted");
1571   ierr = ISSorted(iscol,(PetscTruth*)&i);CHKERRQ(ierr);
1572   if (!i) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"IScol is not sorted");
1573 
1574   ierr = ISGetIndices(isrow,&irow);CHKERRQ(ierr);
1575   ierr = ISGetLocalSize(isrow,&nrows);CHKERRQ(ierr);
1576   ierr = ISGetLocalSize(iscol,&ncols);CHKERRQ(ierr);
1577 
1578   ierr = ISStrideGetInfo(iscol,&first,&step);CHKERRQ(ierr);
1579   ierr = ISStride(iscol,&stride);CHKERRQ(ierr);
1580   if (stride && step == 1) {
1581     /* special case of contiguous rows */
1582     ierr   = PetscMalloc((2*nrows+1)*sizeof(PetscInt),&lens);CHKERRQ(ierr);
1583     starts = lens + nrows;
1584     /* loop over new rows determining lens and starting points */
1585     for (i=0; i<nrows; i++) {
1586       kstart  = ai[irow[i]];
1587       kend    = kstart + ailen[irow[i]];
1588       for (k=kstart; k<kend; k++) {
1589         if (aj[k] >= first) {
1590           starts[i] = k;
1591           break;
1592 	}
1593       }
1594       sum = 0;
1595       while (k < kend) {
1596         if (aj[k++] >= first+ncols) break;
1597         sum++;
1598       }
1599       lens[i] = sum;
1600     }
1601     /* create submatrix */
1602     if (scall == MAT_REUSE_MATRIX) {
1603       PetscInt n_cols,n_rows;
1604       ierr = MatGetSize(*B,&n_rows,&n_cols);CHKERRQ(ierr);
1605       if (n_rows != nrows || n_cols != ncols) SETERRQ(PETSC_ERR_ARG_SIZ,"Reused submatrix wrong size");
1606       ierr = MatZeroEntries(*B);CHKERRQ(ierr);
1607       C = *B;
1608     } else {
1609       ierr = MatCreate(A->comm,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE,&C);CHKERRQ(ierr);
1610       ierr = MatSetType(C,A->type_name);CHKERRQ(ierr);
1611       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
1612     }
1613     c = (Mat_SeqAIJ*)C->data;
1614 
1615     /* loop over rows inserting into submatrix */
1616     a_new    = c->a;
1617     j_new    = c->j;
1618     i_new    = c->i;
1619 
1620     for (i=0; i<nrows; i++) {
1621       ii    = starts[i];
1622       lensi = lens[i];
1623       for (k=0; k<lensi; k++) {
1624         *j_new++ = aj[ii+k] - first;
1625       }
1626       ierr = PetscMemcpy(a_new,a->a + starts[i],lensi*sizeof(PetscScalar));CHKERRQ(ierr);
1627       a_new      += lensi;
1628       i_new[i+1]  = i_new[i] + lensi;
1629       c->ilen[i]  = lensi;
1630     }
1631     ierr = PetscFree(lens);CHKERRQ(ierr);
1632   } else {
1633     ierr  = ISGetIndices(iscol,&icol);CHKERRQ(ierr);
1634     ierr  = PetscMalloc((1+oldcols)*sizeof(PetscInt),&smap);CHKERRQ(ierr);
1635 
1636     ierr  = PetscMalloc((1+nrows)*sizeof(PetscInt),&lens);CHKERRQ(ierr);
1637     ierr  = PetscMemzero(smap,oldcols*sizeof(PetscInt));CHKERRQ(ierr);
1638     for (i=0; i<ncols; i++) smap[icol[i]] = i+1;
1639     /* determine lens of each row */
1640     for (i=0; i<nrows; i++) {
1641       kstart  = ai[irow[i]];
1642       kend    = kstart + a->ilen[irow[i]];
1643       lens[i] = 0;
1644       for (k=kstart; k<kend; k++) {
1645         if (smap[aj[k]]) {
1646           lens[i]++;
1647         }
1648       }
1649     }
1650     /* Create and fill new matrix */
1651     if (scall == MAT_REUSE_MATRIX) {
1652       PetscTruth equal;
1653 
1654       c = (Mat_SeqAIJ *)((*B)->data);
1655       if ((*B)->m  != nrows || (*B)->n != ncols) SETERRQ(PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong size");
1656       ierr = PetscMemcmp(c->ilen,lens,(*B)->m*sizeof(PetscInt),&equal);CHKERRQ(ierr);
1657       if (!equal) {
1658         SETERRQ(PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. wrong no of nonzeros");
1659       }
1660       ierr = PetscMemzero(c->ilen,(*B)->m*sizeof(PetscInt));CHKERRQ(ierr);
1661       C = *B;
1662     } else {
1663       ierr = MatCreate(A->comm,nrows,ncols,PETSC_DETERMINE,PETSC_DETERMINE,&C);CHKERRQ(ierr);
1664       ierr = MatSetType(C,A->type_name);CHKERRQ(ierr);
1665       ierr = MatSeqAIJSetPreallocation_SeqAIJ(C,0,lens);CHKERRQ(ierr);
1666     }
1667     c = (Mat_SeqAIJ *)(C->data);
1668     for (i=0; i<nrows; i++) {
1669       row    = irow[i];
1670       kstart = ai[row];
1671       kend   = kstart + a->ilen[row];
1672       mat_i  = c->i[i];
1673       mat_j  = c->j + mat_i;
1674       mat_a  = c->a + mat_i;
1675       mat_ilen = c->ilen + i;
1676       for (k=kstart; k<kend; k++) {
1677         if ((tcol=smap[a->j[k]])) {
1678           *mat_j++ = tcol - 1;
1679           *mat_a++ = a->a[k];
1680           (*mat_ilen)++;
1681 
1682         }
1683       }
1684     }
1685     /* Free work space */
1686     ierr = ISRestoreIndices(iscol,&icol);CHKERRQ(ierr);
1687     ierr = PetscFree(smap);CHKERRQ(ierr);
1688     ierr = PetscFree(lens);CHKERRQ(ierr);
1689   }
1690   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1691   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1692 
1693   ierr = ISRestoreIndices(isrow,&irow);CHKERRQ(ierr);
1694   *B = C;
1695   PetscFunctionReturn(0);
1696 }
1697 
1698 /*
1699 */
1700 #undef __FUNCT__
1701 #define __FUNCT__ "MatILUFactor_SeqAIJ"
1702 PetscErrorCode MatILUFactor_SeqAIJ(Mat inA,IS row,IS col,MatFactorInfo *info)
1703 {
1704   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)inA->data;
1705   PetscErrorCode ierr;
1706   Mat            outA;
1707   PetscTruth     row_identity,col_identity;
1708 
1709   PetscFunctionBegin;
1710   if (info->levels != 0) SETERRQ(PETSC_ERR_SUP,"Only levels=0 supported for in-place ilu");
1711   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
1712   ierr = ISIdentity(col,&col_identity);CHKERRQ(ierr);
1713   if (!row_identity || !col_identity) {
1714     SETERRQ(PETSC_ERR_ARG_WRONG,"Row and column permutations must be identity for in-place ILU");
1715   }
1716 
1717   outA          = inA;
1718   inA->factor   = FACTOR_LU;
1719   a->row        = row;
1720   a->col        = col;
1721   ierr = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
1722   ierr = PetscObjectReference((PetscObject)col);CHKERRQ(ierr);
1723 
1724   /* Create the inverse permutation so that it can be used in MatLUFactorNumeric() */
1725   if (a->icol) {ierr = ISDestroy(a->icol);CHKERRQ(ierr);} /* need to remove old one */
1726   ierr = ISInvertPermutation(col,PETSC_DECIDE,&a->icol);CHKERRQ(ierr);
1727   ierr = PetscLogObjectParent(inA,a->icol);CHKERRQ(ierr);
1728 
1729   if (!a->solve_work) { /* this matrix may have been factored before */
1730      ierr = PetscMalloc((inA->m+1)*sizeof(PetscScalar),&a->solve_work);CHKERRQ(ierr);
1731   }
1732 
1733   if (!a->diag) {
1734     ierr = MatMarkDiagonal_SeqAIJ(inA);CHKERRQ(ierr);
1735   }
1736   ierr = MatLUFactorNumeric_SeqAIJ(inA,info,&outA);CHKERRQ(ierr);
1737   PetscFunctionReturn(0);
1738 }
1739 
1740 #include "petscblaslapack.h"
1741 #undef __FUNCT__
1742 #define __FUNCT__ "MatScale_SeqAIJ"
1743 PetscErrorCode MatScale_SeqAIJ(const PetscScalar *alpha,Mat inA)
1744 {
1745   Mat_SeqAIJ   *a = (Mat_SeqAIJ*)inA->data;
1746   PetscBLASInt bnz = (PetscBLASInt)a->nz,one = 1;
1747   PetscErrorCode ierr;
1748 
1749 
1750   PetscFunctionBegin;
1751   BLASscal_(&bnz,(PetscScalar*)alpha,a->a,&one);
1752   ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
1753   PetscFunctionReturn(0);
1754 }
1755 
1756 #undef __FUNCT__
1757 #define __FUNCT__ "MatGetSubMatrices_SeqAIJ"
1758 PetscErrorCode MatGetSubMatrices_SeqAIJ(Mat A,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
1759 {
1760   PetscErrorCode ierr;
1761   PetscInt       i;
1762 
1763   PetscFunctionBegin;
1764   if (scall == MAT_INITIAL_MATRIX) {
1765     ierr = PetscMalloc((n+1)*sizeof(Mat),B);CHKERRQ(ierr);
1766   }
1767 
1768   for (i=0; i<n; i++) {
1769     ierr = MatGetSubMatrix_SeqAIJ(A,irow[i],icol[i],PETSC_DECIDE,scall,&(*B)[i]);CHKERRQ(ierr);
1770   }
1771   PetscFunctionReturn(0);
1772 }
1773 
1774 #undef __FUNCT__
1775 #define __FUNCT__ "MatIncreaseOverlap_SeqAIJ"
1776 PetscErrorCode MatIncreaseOverlap_SeqAIJ(Mat A,PetscInt is_max,IS is[],PetscInt ov)
1777 {
1778   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1779   PetscErrorCode ierr;
1780   PetscInt       row,i,j,k,l,m,n,*idx,*nidx,isz,val;
1781   PetscInt       start,end,*ai,*aj;
1782   PetscBT        table;
1783 
1784   PetscFunctionBegin;
1785   m     = A->m;
1786   ai    = a->i;
1787   aj    = a->j;
1788 
1789   if (ov < 0)  SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"illegal negative overlap value used");
1790 
1791   ierr = PetscMalloc((m+1)*sizeof(PetscInt),&nidx);CHKERRQ(ierr);
1792   ierr = PetscBTCreate(m,table);CHKERRQ(ierr);
1793 
1794   for (i=0; i<is_max; i++) {
1795     /* Initialize the two local arrays */
1796     isz  = 0;
1797     ierr = PetscBTMemzero(m,table);CHKERRQ(ierr);
1798 
1799     /* Extract the indices, assume there can be duplicate entries */
1800     ierr = ISGetIndices(is[i],&idx);CHKERRQ(ierr);
1801     ierr = ISGetLocalSize(is[i],&n);CHKERRQ(ierr);
1802 
1803     /* Enter these into the temp arrays. I.e., mark table[row], enter row into new index */
1804     for (j=0; j<n ; ++j){
1805       if(!PetscBTLookupSet(table,idx[j])) { nidx[isz++] = idx[j];}
1806     }
1807     ierr = ISRestoreIndices(is[i],&idx);CHKERRQ(ierr);
1808     ierr = ISDestroy(is[i]);CHKERRQ(ierr);
1809 
1810     k = 0;
1811     for (j=0; j<ov; j++){ /* for each overlap */
1812       n = isz;
1813       for (; k<n ; k++){ /* do only those rows in nidx[k], which are not done yet */
1814         row   = nidx[k];
1815         start = ai[row];
1816         end   = ai[row+1];
1817         for (l = start; l<end ; l++){
1818           val = aj[l] ;
1819           if (!PetscBTLookupSet(table,val)) {nidx[isz++] = val;}
1820         }
1821       }
1822     }
1823     ierr = ISCreateGeneral(PETSC_COMM_SELF,isz,nidx,(is+i));CHKERRQ(ierr);
1824   }
1825   ierr = PetscBTDestroy(table);CHKERRQ(ierr);
1826   ierr = PetscFree(nidx);CHKERRQ(ierr);
1827   PetscFunctionReturn(0);
1828 }
1829 
1830 /* -------------------------------------------------------------- */
1831 #undef __FUNCT__
1832 #define __FUNCT__ "MatPermute_SeqAIJ"
1833 PetscErrorCode MatPermute_SeqAIJ(Mat A,IS rowp,IS colp,Mat *B)
1834 {
1835   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
1836   PetscErrorCode ierr;
1837   PetscInt       i,nz,m = A->m,n = A->n,*col;
1838   PetscInt       *row,*cnew,j,*lens;
1839   IS             icolp,irowp;
1840   PetscInt       *cwork;
1841   PetscScalar    *vwork;
1842 
1843   PetscFunctionBegin;
1844   ierr = ISInvertPermutation(rowp,PETSC_DECIDE,&irowp);CHKERRQ(ierr);
1845   ierr = ISGetIndices(irowp,&row);CHKERRQ(ierr);
1846   ierr = ISInvertPermutation(colp,PETSC_DECIDE,&icolp);CHKERRQ(ierr);
1847   ierr = ISGetIndices(icolp,&col);CHKERRQ(ierr);
1848 
1849   /* determine lengths of permuted rows */
1850   ierr = PetscMalloc((m+1)*sizeof(PetscInt),&lens);CHKERRQ(ierr);
1851   for (i=0; i<m; i++) {
1852     lens[row[i]] = a->i[i+1] - a->i[i];
1853   }
1854   ierr = MatCreate(A->comm,m,n,m,n,B);CHKERRQ(ierr);
1855   ierr = MatSetType(*B,A->type_name);CHKERRQ(ierr);
1856   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*B,0,lens);CHKERRQ(ierr);
1857   ierr = PetscFree(lens);CHKERRQ(ierr);
1858 
1859   ierr = PetscMalloc(n*sizeof(PetscInt),&cnew);CHKERRQ(ierr);
1860   for (i=0; i<m; i++) {
1861     ierr = MatGetRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
1862     for (j=0; j<nz; j++) { cnew[j] = col[cwork[j]];}
1863     ierr = MatSetValues_SeqAIJ(*B,1,&row[i],nz,cnew,vwork,INSERT_VALUES);CHKERRQ(ierr);
1864     ierr = MatRestoreRow_SeqAIJ(A,i,&nz,&cwork,&vwork);CHKERRQ(ierr);
1865   }
1866   ierr = PetscFree(cnew);CHKERRQ(ierr);
1867   (*B)->assembled     = PETSC_FALSE;
1868   ierr = MatAssemblyBegin(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1869   ierr = MatAssemblyEnd(*B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1870   ierr = ISRestoreIndices(irowp,&row);CHKERRQ(ierr);
1871   ierr = ISRestoreIndices(icolp,&col);CHKERRQ(ierr);
1872   ierr = ISDestroy(irowp);CHKERRQ(ierr);
1873   ierr = ISDestroy(icolp);CHKERRQ(ierr);
1874   PetscFunctionReturn(0);
1875 }
1876 
1877 #undef __FUNCT__
1878 #define __FUNCT__ "MatPrintHelp_SeqAIJ"
1879 PetscErrorCode MatPrintHelp_SeqAIJ(Mat A)
1880 {
1881   static PetscTruth called = PETSC_FALSE;
1882   MPI_Comm          comm = A->comm;
1883   PetscErrorCode    ierr;
1884 
1885   PetscFunctionBegin;
1886   ierr = MatPrintHelp_Inode(A);CHKERRQ(ierr);
1887   if (called) {PetscFunctionReturn(0);} else called = PETSC_TRUE;
1888   ierr = (*PetscHelpPrintf)(comm," Options for MATSEQAIJ and MATMPIAIJ matrix formats (the defaults):\n");CHKERRQ(ierr);
1889   ierr = (*PetscHelpPrintf)(comm,"  -mat_lu_pivotthreshold <threshold>: Set pivoting threshold\n");CHKERRQ(ierr);
1890   ierr = (*PetscHelpPrintf)(comm,"  -mat_aij_oneindex: internal indices begin at 1 instead of the default 0.\n");CHKERRQ(ierr);
1891   ierr = (*PetscHelpPrintf)(comm,"  -mat_no_compressedrow: Do not use compressedrow\n");CHKERRQ(ierr);
1892   PetscFunctionReturn(0);
1893 }
1894 
1895 #undef __FUNCT__
1896 #define __FUNCT__ "MatCopy_SeqAIJ"
1897 PetscErrorCode MatCopy_SeqAIJ(Mat A,Mat B,MatStructure str)
1898 {
1899   PetscErrorCode ierr;
1900 
1901   PetscFunctionBegin;
1902   /* If the two matrices have the same copy implementation, use fast copy. */
1903   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
1904     Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1905     Mat_SeqAIJ *b = (Mat_SeqAIJ*)B->data;
1906 
1907     if (a->i[A->m] != b->i[B->m]) {
1908       SETERRQ(PETSC_ERR_ARG_INCOMP,"Number of nonzeros in two matrices are different");
1909     }
1910     ierr = PetscMemcpy(b->a,a->a,(a->i[A->m])*sizeof(PetscScalar));CHKERRQ(ierr);
1911   } else {
1912     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
1913   }
1914   PetscFunctionReturn(0);
1915 }
1916 
1917 #undef __FUNCT__
1918 #define __FUNCT__ "MatSetUpPreallocation_SeqAIJ"
1919 PetscErrorCode MatSetUpPreallocation_SeqAIJ(Mat A)
1920 {
1921   PetscErrorCode ierr;
1922 
1923   PetscFunctionBegin;
1924   ierr =  MatSeqAIJSetPreallocation_SeqAIJ(A,PETSC_DEFAULT,0);CHKERRQ(ierr);
1925   PetscFunctionReturn(0);
1926 }
1927 
1928 #undef __FUNCT__
1929 #define __FUNCT__ "MatGetArray_SeqAIJ"
1930 PetscErrorCode MatGetArray_SeqAIJ(Mat A,PetscScalar *array[])
1931 {
1932   Mat_SeqAIJ *a = (Mat_SeqAIJ*)A->data;
1933   PetscFunctionBegin;
1934   *array = a->a;
1935   PetscFunctionReturn(0);
1936 }
1937 
1938 #undef __FUNCT__
1939 #define __FUNCT__ "MatRestoreArray_SeqAIJ"
1940 PetscErrorCode MatRestoreArray_SeqAIJ(Mat A,PetscScalar *array[])
1941 {
1942   PetscFunctionBegin;
1943   PetscFunctionReturn(0);
1944 }
1945 
1946 #undef __FUNCT__
1947 #define __FUNCT__ "MatFDColoringApply_SeqAIJ"
1948 PetscErrorCode MatFDColoringApply_SeqAIJ(Mat J,MatFDColoring coloring,Vec x1,MatStructure *flag,void *sctx)
1949 {
1950   PetscErrorCode (*f)(void*,Vec,Vec,void*) = (PetscErrorCode (*)(void*,Vec,Vec,void *))coloring->f;
1951   PetscErrorCode ierr;
1952   PetscInt       k,N,start,end,l,row,col,srow,**vscaleforrow,m1,m2;
1953   PetscScalar    dx,mone = -1.0,*y,*xx,*w3_array;
1954   PetscScalar    *vscale_array;
1955   PetscReal      epsilon = coloring->error_rel,umin = coloring->umin;
1956   Vec            w1,w2,w3;
1957   void           *fctx = coloring->fctx;
1958   PetscTruth     flg;
1959 
1960   PetscFunctionBegin;
1961   if (!coloring->w1) {
1962     ierr = VecDuplicate(x1,&coloring->w1);CHKERRQ(ierr);
1963     ierr = PetscLogObjectParent(coloring,coloring->w1);CHKERRQ(ierr);
1964     ierr = VecDuplicate(x1,&coloring->w2);CHKERRQ(ierr);
1965     ierr = PetscLogObjectParent(coloring,coloring->w2);CHKERRQ(ierr);
1966     ierr = VecDuplicate(x1,&coloring->w3);CHKERRQ(ierr);
1967     ierr = PetscLogObjectParent(coloring,coloring->w3);CHKERRQ(ierr);
1968   }
1969   w1 = coloring->w1; w2 = coloring->w2; w3 = coloring->w3;
1970 
1971   ierr = MatSetUnfactored(J);CHKERRQ(ierr);
1972   ierr = PetscOptionsHasName(coloring->prefix,"-mat_fd_coloring_dont_rezero",&flg);CHKERRQ(ierr);
1973   if (flg) {
1974     ierr = PetscLogInfo((coloring,"MatFDColoringApply_SeqAIJ: Not calling MatZeroEntries()\n"));CHKERRQ(ierr);
1975   } else {
1976     PetscTruth assembled;
1977     ierr = MatAssembled(J,&assembled);CHKERRQ(ierr);
1978     if (assembled) {
1979       ierr = MatZeroEntries(J);CHKERRQ(ierr);
1980     }
1981   }
1982 
1983   ierr = VecGetOwnershipRange(x1,&start,&end);CHKERRQ(ierr);
1984   ierr = VecGetSize(x1,&N);CHKERRQ(ierr);
1985 
1986   /*
1987        This is a horrible, horrible, hack. See DMMGComputeJacobian_Multigrid() it inproperly sets
1988      coloring->F for the coarser grids from the finest
1989   */
1990   if (coloring->F) {
1991     ierr = VecGetLocalSize(coloring->F,&m1);CHKERRQ(ierr);
1992     ierr = VecGetLocalSize(w1,&m2);CHKERRQ(ierr);
1993     if (m1 != m2) {
1994       coloring->F = 0;
1995     }
1996   }
1997 
1998   if (coloring->F) {
1999     w1          = coloring->F;
2000     coloring->F = 0;
2001   } else {
2002     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2003     ierr = (*f)(sctx,x1,w1,fctx);CHKERRQ(ierr);
2004     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2005   }
2006 
2007   /*
2008       Compute all the scale factors and share with other processors
2009   */
2010   ierr = VecGetArray(x1,&xx);CHKERRQ(ierr);xx = xx - start;
2011   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);vscale_array = vscale_array - start;
2012   for (k=0; k<coloring->ncolors; k++) {
2013     /*
2014        Loop over each column associated with color adding the
2015        perturbation to the vector w3.
2016     */
2017     for (l=0; l<coloring->ncolumns[k]; l++) {
2018       col = coloring->columns[k][l];    /* column of the matrix we are probing for */
2019       dx  = xx[col];
2020       if (dx == 0.0) dx = 1.0;
2021 #if !defined(PETSC_USE_COMPLEX)
2022       if (dx < umin && dx >= 0.0)      dx = umin;
2023       else if (dx < 0.0 && dx > -umin) dx = -umin;
2024 #else
2025       if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2026       else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2027 #endif
2028       dx                *= epsilon;
2029       vscale_array[col] = 1.0/dx;
2030     }
2031   }
2032   vscale_array = vscale_array + start;ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2033   ierr = VecGhostUpdateBegin(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2034   ierr = VecGhostUpdateEnd(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2035 
2036   /*  ierr = VecView(coloring->vscale,PETSC_VIEWER_STDOUT_WORLD);
2037       ierr = VecView(x1,PETSC_VIEWER_STDOUT_WORLD);*/
2038 
2039   if (coloring->vscaleforrow) vscaleforrow = coloring->vscaleforrow;
2040   else                        vscaleforrow = coloring->columnsforrow;
2041 
2042   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2043   /*
2044       Loop over each color
2045   */
2046   for (k=0; k<coloring->ncolors; k++) {
2047     coloring->currentcolor = k;
2048     ierr = VecCopy(x1,w3);CHKERRQ(ierr);
2049     ierr = VecGetArray(w3,&w3_array);CHKERRQ(ierr);w3_array = w3_array - start;
2050     /*
2051        Loop over each column associated with color adding the
2052        perturbation to the vector w3.
2053     */
2054     for (l=0; l<coloring->ncolumns[k]; l++) {
2055       col = coloring->columns[k][l];    /* column of the matrix we are probing for */
2056       dx  = xx[col];
2057       if (dx == 0.0) dx = 1.0;
2058 #if !defined(PETSC_USE_COMPLEX)
2059       if (dx < umin && dx >= 0.0)      dx = umin;
2060       else if (dx < 0.0 && dx > -umin) dx = -umin;
2061 #else
2062       if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2063       else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2064 #endif
2065       dx            *= epsilon;
2066       if (!PetscAbsScalar(dx)) SETERRQ(PETSC_ERR_PLIB,"Computed 0 differencing parameter");
2067       w3_array[col] += dx;
2068     }
2069     w3_array = w3_array + start; ierr = VecRestoreArray(w3,&w3_array);CHKERRQ(ierr);
2070 
2071     /*
2072        Evaluate function at x1 + dx (here dx is a vector of perturbations)
2073     */
2074 
2075     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2076     ierr = (*f)(sctx,w3,w2,fctx);CHKERRQ(ierr);
2077     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2078     ierr = VecAXPY(&mone,w1,w2);CHKERRQ(ierr);
2079 
2080     /*
2081        Loop over rows of vector, putting results into Jacobian matrix
2082     */
2083     ierr = VecGetArray(w2,&y);CHKERRQ(ierr);
2084     for (l=0; l<coloring->nrows[k]; l++) {
2085       row    = coloring->rows[k][l];
2086       col    = coloring->columnsforrow[k][l];
2087       y[row] *= vscale_array[vscaleforrow[k][l]];
2088       srow   = row + start;
2089       ierr   = MatSetValues_SeqAIJ(J,1,&srow,1,&col,y+row,INSERT_VALUES);CHKERRQ(ierr);
2090     }
2091     ierr = VecRestoreArray(w2,&y);CHKERRQ(ierr);
2092   }
2093   coloring->currentcolor = k;
2094   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2095   xx = xx + start; ierr  = VecRestoreArray(x1,&xx);CHKERRQ(ierr);
2096   ierr  = MatAssemblyBegin(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2097   ierr  = MatAssemblyEnd(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2098   PetscFunctionReturn(0);
2099 }
2100 
2101 #include "petscblaslapack.h"
2102 #undef __FUNCT__
2103 #define __FUNCT__ "MatAXPY_SeqAIJ"
2104 PetscErrorCode MatAXPY_SeqAIJ(const PetscScalar a[],Mat X,Mat Y,MatStructure str)
2105 {
2106   PetscErrorCode ierr;
2107   PetscInt       i;
2108   Mat_SeqAIJ     *x  = (Mat_SeqAIJ *)X->data,*y = (Mat_SeqAIJ *)Y->data;
2109   PetscBLASInt   one=1,bnz = (PetscBLASInt)x->nz;
2110 
2111   PetscFunctionBegin;
2112   if (str == SAME_NONZERO_PATTERN) {
2113     BLASaxpy_(&bnz,(PetscScalar*)a,x->a,&one,y->a,&one);
2114   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
2115     if (y->xtoy && y->XtoY != X) {
2116       ierr = PetscFree(y->xtoy);CHKERRQ(ierr);
2117       ierr = MatDestroy(y->XtoY);CHKERRQ(ierr);
2118     }
2119     if (!y->xtoy) { /* get xtoy */
2120       ierr = MatAXPYGetxtoy_Private(X->m,x->i,x->j,PETSC_NULL, y->i,y->j,PETSC_NULL, &y->xtoy);CHKERRQ(ierr);
2121       y->XtoY = X;
2122     }
2123     for (i=0; i<x->nz; i++) y->a[y->xtoy[i]] += (*a)*(x->a[i]);
2124     ierr = PetscLogInfo((0,"MatAXPY_SeqAIJ: ratio of nnz(X)/nnz(Y): %d/%d = %g\n",x->nz,y->nz,(PetscReal)(x->nz)/y->nz));CHKERRQ(ierr);
2125   } else {
2126     ierr = MatAXPY_Basic(a,X,Y,str);CHKERRQ(ierr);
2127   }
2128   PetscFunctionReturn(0);
2129 }
2130 
2131 #undef __FUNCT__
2132 #define __FUNCT__ "MatSetBlockSize_SeqAIJ"
2133 PetscErrorCode MatSetBlockSize_SeqAIJ(Mat A,PetscInt bs)
2134 {
2135   PetscFunctionBegin;
2136   PetscFunctionReturn(0);
2137 }
2138 
2139 /* -------------------------------------------------------------------*/
2140 static struct _MatOps MatOps_Values = {MatSetValues_SeqAIJ,
2141        MatGetRow_SeqAIJ,
2142        MatRestoreRow_SeqAIJ,
2143        MatMult_SeqAIJ,
2144 /* 4*/ MatMultAdd_SeqAIJ,
2145        MatMultTranspose_SeqAIJ,
2146        MatMultTransposeAdd_SeqAIJ,
2147        MatSolve_SeqAIJ,
2148        MatSolveAdd_SeqAIJ,
2149        MatSolveTranspose_SeqAIJ,
2150 /*10*/ MatSolveTransposeAdd_SeqAIJ,
2151        MatLUFactor_SeqAIJ,
2152        0,
2153        MatRelax_SeqAIJ,
2154        MatTranspose_SeqAIJ,
2155 /*15*/ MatGetInfo_SeqAIJ,
2156        MatEqual_SeqAIJ,
2157        MatGetDiagonal_SeqAIJ,
2158        MatDiagonalScale_SeqAIJ,
2159        MatNorm_SeqAIJ,
2160 /*20*/ 0,
2161        MatAssemblyEnd_SeqAIJ,
2162        MatCompress_SeqAIJ,
2163        MatSetOption_SeqAIJ,
2164        MatZeroEntries_SeqAIJ,
2165 /*25*/ MatZeroRows_SeqAIJ,
2166        MatLUFactorSymbolic_SeqAIJ,
2167        MatLUFactorNumeric_SeqAIJ,
2168        MatCholeskyFactorSymbolic_SeqAIJ,
2169        MatCholeskyFactorNumeric_SeqAIJ,
2170 /*30*/ MatSetUpPreallocation_SeqAIJ,
2171        MatILUFactorSymbolic_SeqAIJ,
2172        MatICCFactorSymbolic_SeqAIJ,
2173        MatGetArray_SeqAIJ,
2174        MatRestoreArray_SeqAIJ,
2175 /*35*/ MatDuplicate_SeqAIJ,
2176        0,
2177        0,
2178        MatILUFactor_SeqAIJ,
2179        0,
2180 /*40*/ MatAXPY_SeqAIJ,
2181        MatGetSubMatrices_SeqAIJ,
2182        MatIncreaseOverlap_SeqAIJ,
2183        MatGetValues_SeqAIJ,
2184        MatCopy_SeqAIJ,
2185 /*45*/ MatPrintHelp_SeqAIJ,
2186        MatScale_SeqAIJ,
2187        0,
2188        0,
2189        MatILUDTFactor_SeqAIJ,
2190 /*50*/ MatSetBlockSize_SeqAIJ,
2191        MatGetRowIJ_SeqAIJ,
2192        MatRestoreRowIJ_SeqAIJ,
2193        MatGetColumnIJ_SeqAIJ,
2194        MatRestoreColumnIJ_SeqAIJ,
2195 /*55*/ MatFDColoringCreate_SeqAIJ,
2196        0,
2197        0,
2198        MatPermute_SeqAIJ,
2199        0,
2200 /*60*/ 0,
2201        MatDestroy_SeqAIJ,
2202        MatView_SeqAIJ,
2203        MatGetPetscMaps_Petsc,
2204        0,
2205 /*65*/ 0,
2206        0,
2207        0,
2208        0,
2209        0,
2210 /*70*/ 0,
2211        0,
2212        MatSetColoring_SeqAIJ,
2213 #if defined(PETSC_HAVE_ADIC)
2214        MatSetValuesAdic_SeqAIJ,
2215 #else
2216        0,
2217 #endif
2218        MatSetValuesAdifor_SeqAIJ,
2219 /*75*/ MatFDColoringApply_SeqAIJ,
2220        0,
2221        0,
2222        0,
2223        0,
2224 /*80*/ 0,
2225        0,
2226        0,
2227        0,
2228        MatLoad_SeqAIJ,
2229 /*85*/ MatIsSymmetric_SeqAIJ,
2230        0,
2231        0,
2232        0,
2233        0,
2234 /*90*/ MatMatMult_SeqAIJ_SeqAIJ,
2235        MatMatMultSymbolic_SeqAIJ_SeqAIJ,
2236        MatMatMultNumeric_SeqAIJ_SeqAIJ,
2237        MatPtAP_Basic,
2238        MatPtAPSymbolic_SeqAIJ,
2239 /*95*/ MatPtAPNumeric_SeqAIJ,
2240        MatMatMultTranspose_SeqAIJ_SeqAIJ,
2241        MatMatMultTransposeSymbolic_SeqAIJ_SeqAIJ,
2242        MatMatMultTransposeNumeric_SeqAIJ_SeqAIJ,
2243        MatPtAPSymbolic_SeqAIJ_SeqAIJ,
2244 /*100*/MatPtAPNumeric_SeqAIJ_SeqAIJ,
2245        0,
2246        0,
2247 };
2248 
2249 EXTERN_C_BEGIN
2250 #undef __FUNCT__
2251 #define __FUNCT__ "MatSeqAIJSetColumnIndices_SeqAIJ"
2252 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqAIJSetColumnIndices_SeqAIJ(Mat mat,PetscInt *indices)
2253 {
2254   Mat_SeqAIJ *aij = (Mat_SeqAIJ *)mat->data;
2255   PetscInt   i,nz,n;
2256 
2257   PetscFunctionBegin;
2258 
2259   nz = aij->maxnz;
2260   n  = mat->n;
2261   for (i=0; i<nz; i++) {
2262     aij->j[i] = indices[i];
2263   }
2264   aij->nz = nz;
2265   for (i=0; i<n; i++) {
2266     aij->ilen[i] = aij->imax[i];
2267   }
2268 
2269   PetscFunctionReturn(0);
2270 }
2271 EXTERN_C_END
2272 
2273 #undef __FUNCT__
2274 #define __FUNCT__ "MatSeqAIJSetColumnIndices"
2275 /*@
2276     MatSeqAIJSetColumnIndices - Set the column indices for all the rows
2277        in the matrix.
2278 
2279   Input Parameters:
2280 +  mat - the SeqAIJ matrix
2281 -  indices - the column indices
2282 
2283   Level: advanced
2284 
2285   Notes:
2286     This can be called if you have precomputed the nonzero structure of the
2287   matrix and want to provide it to the matrix object to improve the performance
2288   of the MatSetValues() operation.
2289 
2290     You MUST have set the correct numbers of nonzeros per row in the call to
2291   MatCreateSeqAIJ(), and the columns indices MUST be sorted.
2292 
2293     MUST be called before any calls to MatSetValues();
2294 
2295     The indices should start with zero, not one.
2296 
2297 @*/
2298 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqAIJSetColumnIndices(Mat mat,PetscInt *indices)
2299 {
2300   PetscErrorCode ierr,(*f)(Mat,PetscInt *);
2301 
2302   PetscFunctionBegin;
2303   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2304   PetscValidPointer(indices,2);
2305   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatSeqAIJSetColumnIndices_C",(void (**)(void))&f);CHKERRQ(ierr);
2306   if (f) {
2307     ierr = (*f)(mat,indices);CHKERRQ(ierr);
2308   } else {
2309     SETERRQ(PETSC_ERR_SUP,"Wrong type of matrix to set column indices");
2310   }
2311   PetscFunctionReturn(0);
2312 }
2313 
2314 /* ----------------------------------------------------------------------------------------*/
2315 
2316 EXTERN_C_BEGIN
2317 #undef __FUNCT__
2318 #define __FUNCT__ "MatStoreValues_SeqAIJ"
2319 PetscErrorCode PETSCMAT_DLLEXPORT MatStoreValues_SeqAIJ(Mat mat)
2320 {
2321   Mat_SeqAIJ     *aij = (Mat_SeqAIJ *)mat->data;
2322   PetscErrorCode ierr;
2323   size_t         nz = aij->i[mat->m];
2324 
2325   PetscFunctionBegin;
2326   if (aij->nonew != 1) {
2327     SETERRQ(PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NO_NEW_NONZERO_LOCATIONS);first");
2328   }
2329 
2330   /* allocate space for values if not already there */
2331   if (!aij->saved_values) {
2332     ierr = PetscMalloc((nz+1)*sizeof(PetscScalar),&aij->saved_values);CHKERRQ(ierr);
2333   }
2334 
2335   /* copy values over */
2336   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
2337   PetscFunctionReturn(0);
2338 }
2339 EXTERN_C_END
2340 
2341 #undef __FUNCT__
2342 #define __FUNCT__ "MatStoreValues"
2343 /*@
2344     MatStoreValues - Stashes a copy of the matrix values; this allows, for
2345        example, reuse of the linear part of a Jacobian, while recomputing the
2346        nonlinear portion.
2347 
2348    Collect on Mat
2349 
2350   Input Parameters:
2351 .  mat - the matrix (currently only AIJ matrices support this option)
2352 
2353   Level: advanced
2354 
2355   Common Usage, with SNESSolve():
2356 $    Create Jacobian matrix
2357 $    Set linear terms into matrix
2358 $    Apply boundary conditions to matrix, at this time matrix must have
2359 $      final nonzero structure (i.e. setting the nonlinear terms and applying
2360 $      boundary conditions again will not change the nonzero structure
2361 $    ierr = MatSetOption(mat,MAT_NO_NEW_NONZERO_LOCATIONS);
2362 $    ierr = MatStoreValues(mat);
2363 $    Call SNESSetJacobian() with matrix
2364 $    In your Jacobian routine
2365 $      ierr = MatRetrieveValues(mat);
2366 $      Set nonlinear terms in matrix
2367 
2368   Common Usage without SNESSolve(), i.e. when you handle nonlinear solve yourself:
2369 $    // build linear portion of Jacobian
2370 $    ierr = MatSetOption(mat,MAT_NO_NEW_NONZERO_LOCATIONS);
2371 $    ierr = MatStoreValues(mat);
2372 $    loop over nonlinear iterations
2373 $       ierr = MatRetrieveValues(mat);
2374 $       // call MatSetValues(mat,...) to set nonliner portion of Jacobian
2375 $       // call MatAssemblyBegin/End() on matrix
2376 $       Solve linear system with Jacobian
2377 $    endloop
2378 
2379   Notes:
2380     Matrix must already be assemblied before calling this routine
2381     Must set the matrix option MatSetOption(mat,MAT_NO_NEW_NONZERO_LOCATIONS); before
2382     calling this routine.
2383 
2384 .seealso: MatRetrieveValues()
2385 
2386 @*/
2387 PetscErrorCode PETSCMAT_DLLEXPORT MatStoreValues(Mat mat)
2388 {
2389   PetscErrorCode ierr,(*f)(Mat);
2390 
2391   PetscFunctionBegin;
2392   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2393   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2394   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2395 
2396   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatStoreValues_C",(void (**)(void))&f);CHKERRQ(ierr);
2397   if (f) {
2398     ierr = (*f)(mat);CHKERRQ(ierr);
2399   } else {
2400     SETERRQ(PETSC_ERR_SUP,"Wrong type of matrix to store values");
2401   }
2402   PetscFunctionReturn(0);
2403 }
2404 
2405 EXTERN_C_BEGIN
2406 #undef __FUNCT__
2407 #define __FUNCT__ "MatRetrieveValues_SeqAIJ"
2408 PetscErrorCode PETSCMAT_DLLEXPORT MatRetrieveValues_SeqAIJ(Mat mat)
2409 {
2410   Mat_SeqAIJ     *aij = (Mat_SeqAIJ *)mat->data;
2411   PetscErrorCode ierr;
2412   PetscInt       nz = aij->i[mat->m];
2413 
2414   PetscFunctionBegin;
2415   if (aij->nonew != 1) {
2416     SETERRQ(PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NO_NEW_NONZERO_LOCATIONS);first");
2417   }
2418   if (!aij->saved_values) {
2419     SETERRQ(PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
2420   }
2421   /* copy values over */
2422   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
2423   PetscFunctionReturn(0);
2424 }
2425 EXTERN_C_END
2426 
2427 #undef __FUNCT__
2428 #define __FUNCT__ "MatRetrieveValues"
2429 /*@
2430     MatRetrieveValues - Retrieves the copy of the matrix values; this allows, for
2431        example, reuse of the linear part of a Jacobian, while recomputing the
2432        nonlinear portion.
2433 
2434    Collect on Mat
2435 
2436   Input Parameters:
2437 .  mat - the matrix (currently on AIJ matrices support this option)
2438 
2439   Level: advanced
2440 
2441 .seealso: MatStoreValues()
2442 
2443 @*/
2444 PetscErrorCode PETSCMAT_DLLEXPORT MatRetrieveValues(Mat mat)
2445 {
2446   PetscErrorCode ierr,(*f)(Mat);
2447 
2448   PetscFunctionBegin;
2449   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2450   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
2451   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2452 
2453   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatRetrieveValues_C",(void (**)(void))&f);CHKERRQ(ierr);
2454   if (f) {
2455     ierr = (*f)(mat);CHKERRQ(ierr);
2456   } else {
2457     SETERRQ(PETSC_ERR_SUP,"Wrong type of matrix to retrieve values");
2458   }
2459   PetscFunctionReturn(0);
2460 }
2461 
2462 
2463 /* --------------------------------------------------------------------------------*/
2464 #undef __FUNCT__
2465 #define __FUNCT__ "MatCreateSeqAIJ"
2466 /*@C
2467    MatCreateSeqAIJ - Creates a sparse matrix in AIJ (compressed row) format
2468    (the default parallel PETSc format).  For good matrix assembly performance
2469    the user should preallocate the matrix storage by setting the parameter nz
2470    (or the array nnz).  By setting these parameters accurately, performance
2471    during matrix assembly can be increased by more than a factor of 50.
2472 
2473    Collective on MPI_Comm
2474 
2475    Input Parameters:
2476 +  comm - MPI communicator, set to PETSC_COMM_SELF
2477 .  m - number of rows
2478 .  n - number of columns
2479 .  nz - number of nonzeros per row (same for all rows)
2480 -  nnz - array containing the number of nonzeros in the various rows
2481          (possibly different for each row) or PETSC_NULL
2482 
2483    Output Parameter:
2484 .  A - the matrix
2485 
2486    Notes:
2487    If nnz is given then nz is ignored
2488 
2489    The AIJ format (also called the Yale sparse matrix format or
2490    compressed row storage), is fully compatible with standard Fortran 77
2491    storage.  That is, the stored row and column indices can begin at
2492    either one (as in Fortran) or zero.  See the users' manual for details.
2493 
2494    Specify the preallocated storage with either nz or nnz (not both).
2495    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
2496    allocation.  For large problems you MUST preallocate memory or you
2497    will get TERRIBLE performance, see the users' manual chapter on matrices.
2498 
2499    By default, this format uses inodes (identical nodes) when possible, to
2500    improve numerical efficiency of matrix-vector products and solves. We
2501    search for consecutive rows with the same nonzero structure, thereby
2502    reusing matrix information to achieve increased efficiency.
2503 
2504    Options Database Keys:
2505 +  -mat_no_inode  - Do not use inodes
2506 .  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
2507 -  -mat_aij_oneindex - Internally use indexing starting at 1
2508         rather than 0.  Note that when calling MatSetValues(),
2509         the user still MUST index entries starting at 0!
2510 
2511    Level: intermediate
2512 
2513 .seealso: MatCreate(), MatCreateMPIAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays()
2514 
2515 @*/
2516 PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqAIJ(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
2517 {
2518   PetscErrorCode ierr;
2519 
2520   PetscFunctionBegin;
2521   ierr = MatCreate(comm,m,n,m,n,A);CHKERRQ(ierr);
2522   ierr = MatSetType(*A,MATSEQAIJ);CHKERRQ(ierr);
2523   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*A,nz,(PetscInt*)nnz);CHKERRQ(ierr);
2524   PetscFunctionReturn(0);
2525 }
2526 
2527 #undef __FUNCT__
2528 #define __FUNCT__ "MatSeqAIJSetPreallocation"
2529 /*@C
2530    MatSeqAIJSetPreallocation - For good matrix assembly performance
2531    the user should preallocate the matrix storage by setting the parameter nz
2532    (or the array nnz).  By setting these parameters accurately, performance
2533    during matrix assembly can be increased by more than a factor of 50.
2534 
2535    Collective on MPI_Comm
2536 
2537    Input Parameters:
2538 +  B - The matrix
2539 .  nz - number of nonzeros per row (same for all rows)
2540 -  nnz - array containing the number of nonzeros in the various rows
2541          (possibly different for each row) or PETSC_NULL
2542 
2543    Notes:
2544      If nnz is given then nz is ignored
2545 
2546     The AIJ format (also called the Yale sparse matrix format or
2547    compressed row storage), is fully compatible with standard Fortran 77
2548    storage.  That is, the stored row and column indices can begin at
2549    either one (as in Fortran) or zero.  See the users' manual for details.
2550 
2551    Specify the preallocated storage with either nz or nnz (not both).
2552    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
2553    allocation.  For large problems you MUST preallocate memory or you
2554    will get TERRIBLE performance, see the users' manual chapter on matrices.
2555 
2556    Developers: Use nz of MAT_SKIP_ALLOCATION to not allocate any space for the matrix
2557    entries or columns indices
2558 
2559    By default, this format uses inodes (identical nodes) when possible, to
2560    improve numerical efficiency of matrix-vector products and solves. We
2561    search for consecutive rows with the same nonzero structure, thereby
2562    reusing matrix information to achieve increased efficiency.
2563 
2564    Options Database Keys:
2565 +  -mat_no_inode  - Do not use inodes
2566 .  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
2567 -  -mat_aij_oneindex - Internally use indexing starting at 1
2568         rather than 0.  Note that when calling MatSetValues(),
2569         the user still MUST index entries starting at 0!
2570 
2571    Level: intermediate
2572 
2573 .seealso: MatCreate(), MatCreateMPIAIJ(), MatSetValues(), MatSeqAIJSetColumnIndices(), MatCreateSeqAIJWithArrays()
2574 
2575 @*/
2576 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqAIJSetPreallocation(Mat B,PetscInt nz,const PetscInt nnz[])
2577 {
2578   PetscErrorCode ierr,(*f)(Mat,PetscInt,const PetscInt[]);
2579 
2580   PetscFunctionBegin;
2581   ierr = PetscObjectQueryFunction((PetscObject)B,"MatSeqAIJSetPreallocation_C",(void (**)(void))&f);CHKERRQ(ierr);
2582   if (f) {
2583     ierr = (*f)(B,nz,nnz);CHKERRQ(ierr);
2584   }
2585   PetscFunctionReturn(0);
2586 }
2587 
2588 EXTERN_C_BEGIN
2589 #undef __FUNCT__
2590 #define __FUNCT__ "MatSeqAIJSetPreallocation_SeqAIJ"
2591 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqAIJSetPreallocation_SeqAIJ(Mat B,PetscInt nz,PetscInt *nnz)
2592 {
2593   Mat_SeqAIJ     *b;
2594   PetscTruth     skipallocation = PETSC_FALSE;
2595   PetscErrorCode ierr;
2596   PetscInt       i;
2597 
2598   PetscFunctionBegin;
2599 
2600   if (nz == MAT_SKIP_ALLOCATION) {
2601     skipallocation = PETSC_TRUE;
2602     nz             = 0;
2603   }
2604 
2605   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
2606   if (nz < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %d",nz);
2607   if (nnz) {
2608     for (i=0; i<B->m; i++) {
2609       if (nnz[i] < 0) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"nnz cannot be less than 0: local row %d value %d",i,nnz[i]);
2610       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);
2611     }
2612   }
2613 
2614   B->preallocated = PETSC_TRUE;
2615   b = (Mat_SeqAIJ*)B->data;
2616 
2617   if (!skipallocation) {
2618     ierr = PetscMalloc2(B->m,PetscInt,&b->imax,B->m,PetscInt,&b->ilen);CHKERRQ(ierr);
2619     if (!nnz) {
2620       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 10;
2621       else if (nz <= 0)        nz = 1;
2622       for (i=0; i<B->m; i++) b->imax[i] = nz;
2623       nz = nz*B->m;
2624     } else {
2625       nz = 0;
2626       for (i=0; i<B->m; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
2627     }
2628 
2629     /* b->ilen will count nonzeros in each row so far. */
2630     for (i=0; i<B->m; i++) { b->ilen[i] = 0;}
2631 
2632     /* allocate the matrix space */
2633     ierr = PetscMalloc3(nz,PetscScalar,&b->a,nz,PetscInt,&b->j,B->m+1,PetscInt,&b->i);CHKERRQ(ierr);
2634     ierr = PetscMemzero(b->j,nz*sizeof(PetscInt));CHKERRQ(ierr);
2635     b->i[0] = 0;
2636     for (i=1; i<B->m+1; i++) {
2637       b->i[i] = b->i[i-1] + b->imax[i-1];
2638     }
2639     b->singlemalloc = PETSC_TRUE;
2640     b->freedata     = PETSC_TRUE;
2641   } else {
2642     b->freedata     = PETSC_FALSE;
2643   }
2644 
2645   b->nz                = 0;
2646   b->maxnz             = nz;
2647   B->info.nz_unneeded  = (double)b->maxnz;
2648   PetscFunctionReturn(0);
2649 }
2650 EXTERN_C_END
2651 
2652 /*MC
2653    MATSEQAIJ - MATSEQAIJ = "seqaij" - A matrix type to be used for sequential sparse matrices,
2654    based on compressed sparse row format.
2655 
2656    Options Database Keys:
2657 . -mat_type seqaij - sets the matrix type to "seqaij" during a call to MatSetFromOptions()
2658 
2659   Level: beginner
2660 
2661 .seealso: MatCreateSeqAIJ(), MatSetFromOptions(), MatSetType(), MatCreate(), MatType
2662 M*/
2663 
2664 EXTERN_C_BEGIN
2665 #undef __FUNCT__
2666 #define __FUNCT__ "MatCreate_SeqAIJ"
2667 PetscErrorCode PETSCMAT_DLLEXPORT MatCreate_SeqAIJ(Mat B)
2668 {
2669   Mat_SeqAIJ     *b;
2670   PetscErrorCode ierr;
2671   PetscMPIInt    size;
2672 
2673   PetscFunctionBegin;
2674   ierr = MPI_Comm_size(B->comm,&size);CHKERRQ(ierr);
2675   if (size > 1) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Comm must be of size 1");
2676 
2677   B->m = B->M = PetscMax(B->m,B->M);
2678   B->n = B->N = PetscMax(B->n,B->N);
2679 
2680   ierr = PetscNew(Mat_SeqAIJ,&b);CHKERRQ(ierr);
2681   B->data             = (void*)b;
2682   ierr = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
2683   B->factor           = 0;
2684   B->mapping          = 0;
2685   b->row              = 0;
2686   b->col              = 0;
2687   b->icol             = 0;
2688   b->reallocs         = 0;
2689 
2690   ierr = PetscMapCreateMPI(B->comm,B->m,B->m,&B->rmap);CHKERRQ(ierr);
2691   ierr = PetscMapCreateMPI(B->comm,B->n,B->n,&B->cmap);CHKERRQ(ierr);
2692 
2693   b->sorted            = PETSC_FALSE;
2694   b->ignorezeroentries = PETSC_FALSE;
2695   b->roworiented       = PETSC_TRUE;
2696   b->nonew             = 0;
2697   b->diag              = 0;
2698   b->solve_work        = 0;
2699   B->spptr             = 0;
2700   b->saved_values      = 0;
2701   b->idiag             = 0;
2702   b->ssor              = 0;
2703   b->keepzeroedrows    = PETSC_FALSE;
2704   b->xtoy              = 0;
2705   b->XtoY              = 0;
2706   b->compressedrow.use     = PETSC_FALSE;
2707   b->compressedrow.nrows   = B->m;
2708   b->compressedrow.i       = PETSC_NULL;
2709   b->compressedrow.rindex  = PETSC_NULL;
2710   b->compressedrow.checked = PETSC_FALSE;
2711   B->same_nonzero          = PETSC_FALSE;
2712 
2713   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQAIJ);CHKERRQ(ierr);
2714 
2715   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqAIJSetColumnIndices_C",
2716                                      "MatSeqAIJSetColumnIndices_SeqAIJ",
2717                                      MatSeqAIJSetColumnIndices_SeqAIJ);CHKERRQ(ierr);
2718   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatStoreValues_C",
2719                                      "MatStoreValues_SeqAIJ",
2720                                      MatStoreValues_SeqAIJ);CHKERRQ(ierr);
2721   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatRetrieveValues_C",
2722                                      "MatRetrieveValues_SeqAIJ",
2723                                      MatRetrieveValues_SeqAIJ);CHKERRQ(ierr);
2724 #if !defined(PETSC_USE_64BIT_INT)
2725   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqaij_seqsbaij_C",
2726                                      "MatConvert_SeqAIJ_SeqSBAIJ",
2727                                       MatConvert_SeqAIJ_SeqSBAIJ);CHKERRQ(ierr);
2728 #endif
2729   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqaij_seqbaij_C",
2730                                      "MatConvert_SeqAIJ_SeqBAIJ",
2731                                       MatConvert_SeqAIJ_SeqBAIJ);CHKERRQ(ierr);
2732   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatIsTranspose_C",
2733                                      "MatIsTranspose_SeqAIJ",
2734                                       MatIsTranspose_SeqAIJ);CHKERRQ(ierr);
2735   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqAIJSetPreallocation_C",
2736                                      "MatSeqAIJSetPreallocation_SeqAIJ",
2737                                       MatSeqAIJSetPreallocation_SeqAIJ);CHKERRQ(ierr);
2738   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatReorderForNonzeroDiagonal_C",
2739                                      "MatReorderForNonzeroDiagonal_SeqAIJ",
2740                                       MatReorderForNonzeroDiagonal_SeqAIJ);CHKERRQ(ierr);
2741   ierr = MatCreate_Inode(B);CHKERRQ(ierr);
2742   PetscFunctionReturn(0);
2743 }
2744 EXTERN_C_END
2745 
2746 #undef __FUNCT__
2747 #define __FUNCT__ "MatDuplicate_SeqAIJ"
2748 PetscErrorCode MatDuplicate_SeqAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
2749 {
2750   Mat            C;
2751   Mat_SeqAIJ     *c,*a = (Mat_SeqAIJ*)A->data;
2752   PetscErrorCode ierr;
2753   PetscInt       i,m = A->m;
2754 
2755   PetscFunctionBegin;
2756   *B = 0;
2757   ierr = MatCreate(A->comm,A->m,A->n,A->m,A->n,&C);CHKERRQ(ierr);
2758   ierr = MatSetType(C,A->type_name);CHKERRQ(ierr);
2759   ierr = PetscMemcpy(C->ops,A->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
2760 
2761   c = (Mat_SeqAIJ*)C->data;
2762 
2763   C->factor           = A->factor;
2764 
2765   c->row            = 0;
2766   c->col            = 0;
2767   c->icol           = 0;
2768   c->reallocs       = 0;
2769 
2770   C->assembled      = PETSC_TRUE;
2771 
2772   ierr = PetscMalloc((m+1)*sizeof(PetscInt),&c->imax);CHKERRQ(ierr);
2773   ierr = PetscMalloc((m+1)*sizeof(PetscInt),&c->ilen);CHKERRQ(ierr);
2774   for (i=0; i<m; i++) {
2775     c->imax[i] = a->imax[i];
2776     c->ilen[i] = a->ilen[i];
2777   }
2778 
2779   /* allocate the matrix space */
2780   ierr = PetscMalloc3(a->i[m],PetscScalar,&c->a,a->i[m],PetscInt,&c->j,m+1,PetscInt,&c->i);CHKERRQ(ierr);
2781   c->singlemalloc = PETSC_TRUE;
2782   ierr = PetscMemcpy(c->i,a->i,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
2783   if (m > 0) {
2784     ierr = PetscMemcpy(c->j,a->j,(a->i[m])*sizeof(PetscInt));CHKERRQ(ierr);
2785     if (cpvalues == MAT_COPY_VALUES) {
2786       ierr = PetscMemcpy(c->a,a->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
2787     } else {
2788       ierr = PetscMemzero(c->a,(a->i[m])*sizeof(PetscScalar));CHKERRQ(ierr);
2789     }
2790   }
2791 
2792   c->sorted            = a->sorted;
2793   c->ignorezeroentries = a->ignorezeroentries;
2794   c->roworiented       = a->roworiented;
2795   c->nonew             = a->nonew;
2796   if (a->diag) {
2797     ierr = PetscMalloc((m+1)*sizeof(PetscInt),&c->diag);CHKERRQ(ierr);
2798     ierr = PetscLogObjectMemory(C,(m+1)*sizeof(PetscInt));CHKERRQ(ierr);
2799     for (i=0; i<m; i++) {
2800       c->diag[i] = a->diag[i];
2801     }
2802   } else c->diag        = 0;
2803   c->solve_work         = 0;
2804   c->saved_values          = 0;
2805   c->idiag                 = 0;
2806   c->ssor                  = 0;
2807   c->keepzeroedrows        = a->keepzeroedrows;
2808   c->freedata              = PETSC_TRUE;
2809   c->xtoy                  = 0;
2810   c->XtoY                  = 0;
2811 
2812   c->nz                 = a->nz;
2813   c->maxnz              = a->maxnz;
2814   C->preallocated       = PETSC_TRUE;
2815 
2816   c->compressedrow.use     = a->compressedrow.use;
2817   c->compressedrow.nrows   = a->compressedrow.nrows;
2818   c->compressedrow.checked = a->compressedrow.checked;
2819   if ( a->compressedrow.checked && a->compressedrow.use){
2820     i = a->compressedrow.nrows;
2821     ierr = PetscMalloc((2*i+1)*sizeof(PetscInt),&c->compressedrow.i);CHKERRQ(ierr);
2822     c->compressedrow.rindex = c->compressedrow.i + i + 1;
2823     ierr = PetscMemcpy(c->compressedrow.i,a->compressedrow.i,(i+1)*sizeof(PetscInt));CHKERRQ(ierr);
2824     ierr = PetscMemcpy(c->compressedrow.rindex,a->compressedrow.rindex,i*sizeof(PetscInt));CHKERRQ(ierr);
2825   } else {
2826     c->compressedrow.use    = PETSC_FALSE;
2827     c->compressedrow.i      = PETSC_NULL;
2828     c->compressedrow.rindex = PETSC_NULL;
2829   }
2830   C->same_nonzero = A->same_nonzero;
2831 
2832   ierr = MatDuplicate_Inode(A,cpvalues,&C);CHKERRQ(ierr);
2833 
2834   *B = C;
2835   ierr = PetscFListDuplicate(A->qlist,&C->qlist);CHKERRQ(ierr);
2836   PetscFunctionReturn(0);
2837 }
2838 
2839 #undef __FUNCT__
2840 #define __FUNCT__ "MatLoad_SeqAIJ"
2841 PetscErrorCode MatLoad_SeqAIJ(PetscViewer viewer,const MatType type,Mat *A)
2842 {
2843   Mat_SeqAIJ     *a;
2844   Mat            B;
2845   PetscErrorCode ierr;
2846   PetscInt       i,sum,nz,header[4],*rowlengths = 0,M,N;
2847   int            fd;
2848   PetscMPIInt    size;
2849   MPI_Comm       comm;
2850 
2851   PetscFunctionBegin;
2852   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
2853   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2854   if (size > 1) SETERRQ(PETSC_ERR_ARG_SIZ,"view must have one processor");
2855   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
2856   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
2857   if (header[0] != MAT_FILE_COOKIE) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"not matrix object in file");
2858   M = header[1]; N = header[2]; nz = header[3];
2859 
2860   if (nz < 0) {
2861     SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk,cannot load as SeqAIJ");
2862   }
2863 
2864   /* read in row lengths */
2865   ierr = PetscMalloc(M*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
2866   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
2867 
2868   /* check if sum of rowlengths is same as nz */
2869   for (i=0,sum=0; i< M; i++) sum +=rowlengths[i];
2870   if (sum != nz) SETERRQ2(PETSC_ERR_FILE_READ,"Inconsistant matrix data in file. no-nonzeros = %d, sum-row-lengths = %d\n",nz,sum);
2871 
2872   /* create our matrix */
2873   ierr = MatCreate(comm,PETSC_DECIDE,PETSC_DECIDE,M,N,&B);CHKERRQ(ierr);
2874   ierr = MatSetType(B,type);CHKERRQ(ierr);
2875   ierr = MatSeqAIJSetPreallocation_SeqAIJ(B,0,rowlengths);CHKERRQ(ierr);
2876   a = (Mat_SeqAIJ*)B->data;
2877 
2878   /* read in column indices and adjust for Fortran indexing*/
2879   ierr = PetscBinaryRead(fd,a->j,nz,PETSC_INT);CHKERRQ(ierr);
2880 
2881   /* read in nonzero values */
2882   ierr = PetscBinaryRead(fd,a->a,nz,PETSC_SCALAR);CHKERRQ(ierr);
2883 
2884   /* set matrix "i" values */
2885   a->i[0] = 0;
2886   for (i=1; i<= M; i++) {
2887     a->i[i]      = a->i[i-1] + rowlengths[i-1];
2888     a->ilen[i-1] = rowlengths[i-1];
2889   }
2890   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
2891 
2892   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2893   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2894   *A = B;
2895   PetscFunctionReturn(0);
2896 }
2897 
2898 #undef __FUNCT__
2899 #define __FUNCT__ "MatEqual_SeqAIJ"
2900 PetscErrorCode MatEqual_SeqAIJ(Mat A,Mat B,PetscTruth* flg)
2901 {
2902   Mat_SeqAIJ     *a = (Mat_SeqAIJ *)A->data,*b = (Mat_SeqAIJ *)B->data;
2903   PetscErrorCode ierr;
2904 
2905   PetscFunctionBegin;
2906   /* If the  matrix dimensions are not equal,or no of nonzeros */
2907   if ((A->m != B->m) || (A->n != B->n) ||(a->nz != b->nz)) {
2908     *flg = PETSC_FALSE;
2909     PetscFunctionReturn(0);
2910   }
2911 
2912   /* if the a->i are the same */
2913   ierr = PetscMemcmp(a->i,b->i,(A->m+1)*sizeof(PetscInt),flg);CHKERRQ(ierr);
2914   if (!*flg) PetscFunctionReturn(0);
2915 
2916   /* if a->j are the same */
2917   ierr = PetscMemcmp(a->j,b->j,(a->nz)*sizeof(PetscInt),flg);CHKERRQ(ierr);
2918   if (!*flg) PetscFunctionReturn(0);
2919 
2920   /* if a->a are the same */
2921   ierr = PetscMemcmp(a->a,b->a,(a->nz)*sizeof(PetscScalar),flg);CHKERRQ(ierr);
2922 
2923   PetscFunctionReturn(0);
2924 
2925 }
2926 
2927 #undef __FUNCT__
2928 #define __FUNCT__ "MatCreateSeqAIJWithArrays"
2929 /*@C
2930      MatCreateSeqAIJWithArrays - Creates an sequential AIJ matrix using matrix elements (in CSR format)
2931               provided by the user.
2932 
2933       Coolective on MPI_Comm
2934 
2935    Input Parameters:
2936 +   comm - must be an MPI communicator of size 1
2937 .   m - number of rows
2938 .   n - number of columns
2939 .   i - row indices
2940 .   j - column indices
2941 -   a - matrix values
2942 
2943    Output Parameter:
2944 .   mat - the matrix
2945 
2946    Level: intermediate
2947 
2948    Notes:
2949        The i, j, and a arrays are not copied by this routine, the user must free these arrays
2950     once the matrix is destroyed
2951 
2952        You cannot set new nonzero locations into this matrix, that will generate an error.
2953 
2954        The i and j indices are 0 based
2955 
2956 .seealso: MatCreate(), MatCreateMPIAIJ(), MatCreateSeqAIJ()
2957 
2958 @*/
2959 PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqAIJWithArrays(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt* i,PetscInt*j,PetscScalar *a,Mat *mat)
2960 {
2961   PetscErrorCode ierr;
2962   PetscInt       ii;
2963   Mat_SeqAIJ     *aij;
2964 
2965   PetscFunctionBegin;
2966   if (i[0]) {
2967     SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
2968   }
2969   ierr = MatCreate(comm,m,n,m,n,mat);CHKERRQ(ierr);
2970   ierr = MatSetType(*mat,MATSEQAIJ);CHKERRQ(ierr);
2971   ierr = MatSeqAIJSetPreallocation_SeqAIJ(*mat,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
2972   aij  = (Mat_SeqAIJ*)(*mat)->data;
2973   ierr = PetscMalloc2(m,PetscInt,&aij->imax,m,PetscInt,&aij->ilen);CHKERRQ(ierr);
2974 
2975   aij->i = i;
2976   aij->j = j;
2977   aij->a = a;
2978   aij->singlemalloc = PETSC_FALSE;
2979   aij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
2980   aij->freedata     = PETSC_FALSE;
2981 
2982   for (ii=0; ii<m; ii++) {
2983     aij->ilen[ii] = aij->imax[ii] = i[ii+1] - i[ii];
2984 #if defined(PETSC_USE_DEBUG)
2985     if (i[ii+1] - i[ii] < 0) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Negative row length in i (row indices) row = %d length = %d",ii,i[ii+1] - i[ii]);
2986 #endif
2987   }
2988 #if defined(PETSC_USE_DEBUG)
2989   for (ii=0; ii<aij->i[m]; ii++) {
2990     if (j[ii] < 0) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %d index = %d",ii,j[ii]);
2991     if (j[ii] > n - 1) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column index to large at location = %d index = %d",ii,j[ii]);
2992   }
2993 #endif
2994 
2995   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2996   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2997   PetscFunctionReturn(0);
2998 }
2999 
3000 #undef __FUNCT__
3001 #define __FUNCT__ "MatSetColoring_SeqAIJ"
3002 PetscErrorCode MatSetColoring_SeqAIJ(Mat A,ISColoring coloring)
3003 {
3004   PetscErrorCode ierr;
3005   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
3006 
3007   PetscFunctionBegin;
3008   if (coloring->ctype == IS_COLORING_LOCAL) {
3009     ierr        = ISColoringReference(coloring);CHKERRQ(ierr);
3010     a->coloring = coloring;
3011   } else if (coloring->ctype == IS_COLORING_GHOSTED) {
3012     PetscInt             i,*larray;
3013     ISColoring      ocoloring;
3014     ISColoringValue *colors;
3015 
3016     /* set coloring for diagonal portion */
3017     ierr = PetscMalloc((A->n+1)*sizeof(PetscInt),&larray);CHKERRQ(ierr);
3018     for (i=0; i<A->n; i++) {
3019       larray[i] = i;
3020     }
3021     ierr = ISGlobalToLocalMappingApply(A->mapping,IS_GTOLM_MASK,A->n,larray,PETSC_NULL,larray);CHKERRQ(ierr);
3022     ierr = PetscMalloc((A->n+1)*sizeof(ISColoringValue),&colors);CHKERRQ(ierr);
3023     for (i=0; i<A->n; i++) {
3024       colors[i] = coloring->colors[larray[i]];
3025     }
3026     ierr = PetscFree(larray);CHKERRQ(ierr);
3027     ierr = ISColoringCreate(PETSC_COMM_SELF,A->n,colors,&ocoloring);CHKERRQ(ierr);
3028     a->coloring = ocoloring;
3029   }
3030   PetscFunctionReturn(0);
3031 }
3032 
3033 #if defined(PETSC_HAVE_ADIC)
3034 EXTERN_C_BEGIN
3035 #include "adic/ad_utils.h"
3036 EXTERN_C_END
3037 
3038 #undef __FUNCT__
3039 #define __FUNCT__ "MatSetValuesAdic_SeqAIJ"
3040 PetscErrorCode MatSetValuesAdic_SeqAIJ(Mat A,void *advalues)
3041 {
3042   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
3043   PetscInt        m = A->m,*ii = a->i,*jj = a->j,nz,i,j,nlen;
3044   PetscScalar     *v = a->a,*values = ((PetscScalar*)advalues)+1;
3045   ISColoringValue *color;
3046 
3047   PetscFunctionBegin;
3048   if (!a->coloring) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Coloring not set for matrix");
3049   nlen  = PetscADGetDerivTypeSize()/sizeof(PetscScalar);
3050   color = a->coloring->colors;
3051   /* loop over rows */
3052   for (i=0; i<m; i++) {
3053     nz = ii[i+1] - ii[i];
3054     /* loop over columns putting computed value into matrix */
3055     for (j=0; j<nz; j++) {
3056       *v++ = values[color[*jj++]];
3057     }
3058     values += nlen; /* jump to next row of derivatives */
3059   }
3060   PetscFunctionReturn(0);
3061 }
3062 #endif
3063 
3064 #undef __FUNCT__
3065 #define __FUNCT__ "MatSetValuesAdifor_SeqAIJ"
3066 PetscErrorCode MatSetValuesAdifor_SeqAIJ(Mat A,PetscInt nl,void *advalues)
3067 {
3068   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
3069   PetscInt             m = A->m,*ii = a->i,*jj = a->j,nz,i,j;
3070   PetscScalar     *v = a->a,*values = (PetscScalar *)advalues;
3071   ISColoringValue *color;
3072 
3073   PetscFunctionBegin;
3074   if (!a->coloring) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Coloring not set for matrix");
3075   color = a->coloring->colors;
3076   /* loop over rows */
3077   for (i=0; i<m; i++) {
3078     nz = ii[i+1] - ii[i];
3079     /* loop over columns putting computed value into matrix */
3080     for (j=0; j<nz; j++) {
3081       *v++ = values[color[*jj++]];
3082     }
3083     values += nl; /* jump to next row of derivatives */
3084   }
3085   PetscFunctionReturn(0);
3086 }
3087 
3088