xref: /petsc/src/mat/impls/sbaij/seq/aijsbaij.c (revision e19f88df7cd0bcfe73faf98683db6f77794e28aa)
1 
2 #include <../src/mat/impls/aij/seq/aij.h>
3 #include <../src/mat/impls/baij/seq/baij.h>
4 #include <../src/mat/impls/sbaij/seq/sbaij.h>
5 
6 PETSC_INTERN PetscErrorCode MatConvert_SeqSBAIJ_SeqAIJ(Mat A, MatType newtype,MatReuse reuse,Mat *newmat)
7 {
8   Mat            B;
9   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
10   Mat_SeqAIJ     *b;
11   PetscErrorCode ierr;
12   PetscInt       *ai=a->i,*aj=a->j,m=A->rmap->N,n=A->cmap->n,i,j,k,*bi,*bj,*rowlengths,nz,*rowstart,itmp;
13   PetscInt       bs =A->rmap->bs,bs2=bs*bs,mbs=A->rmap->N/bs,diagcnt=0;
14   MatScalar      *av,*bv;
15 #if defined(PETSC_USE_COMPLEX)
16   const int      aconj = A->hermitian ? 1 : 0;
17 #else
18   const int      aconj = 0;
19 #endif
20 
21   PetscFunctionBegin;
22   /* compute rowlengths of newmat */
23   ierr = PetscMalloc2(m,&rowlengths,m+1,&rowstart);CHKERRQ(ierr);
24 
25   for (i=0; i<mbs; i++) rowlengths[i*bs] = 0;
26   k  = 0;
27   for (i=0; i<mbs; i++) {
28     nz = ai[i+1] - ai[i];
29     if (nz) {
30       rowlengths[k] += nz;   /* no. of upper triangular blocks */
31       if (*aj == i) {aj++;diagcnt++;nz--;} /* skip diagonal */
32       for (j=0; j<nz; j++) { /* no. of lower triangular blocks */
33         rowlengths[(*aj)*bs]++; aj++;
34       }
35     }
36     rowlengths[k] *= bs;
37     for (j=1; j<bs; j++) {
38       rowlengths[k+j] = rowlengths[k];
39     }
40     k += bs;
41   }
42 
43   if (reuse != MAT_REUSE_MATRIX) {
44     ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
45     ierr = MatSetSizes(B,m,n,m,n);CHKERRQ(ierr);
46     ierr = MatSetType(B,MATSEQAIJ);CHKERRQ(ierr);
47     ierr = MatSeqAIJSetPreallocation(B,0,rowlengths);CHKERRQ(ierr);
48     ierr = MatSetBlockSize(B,A->rmap->bs);CHKERRQ(ierr);
49   } else B = *newmat;
50 
51   b  = (Mat_SeqAIJ*)(B->data);
52   bi = b->i;
53   bj = b->j;
54   bv = b->a;
55 
56   /* set b->i */
57   bi[0] = 0; rowstart[0] = 0;
58   for (i=0; i<mbs; i++) {
59     for (j=0; j<bs; j++) {
60       b->ilen[i*bs+j]    = rowlengths[i*bs];
61       rowstart[i*bs+j+1] = rowstart[i*bs+j] + rowlengths[i*bs];
62     }
63     bi[i+1] = bi[i] + rowlengths[i*bs]/bs;
64   }
65   if (bi[mbs] != 2*a->nz - diagcnt) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"bi[mbs]: %D != 2*a->nz-diagcnt: %D\n",bi[mbs],2*a->nz - diagcnt);
66 
67   /* set b->j and b->a */
68   aj = a->j; av = a->a;
69   for (i=0; i<mbs; i++) {
70     nz = ai[i+1] - ai[i];
71     /* diagonal block */
72     if (nz && *aj == i) {
73       nz--;
74       for (j=0; j<bs; j++) {   /* row i*bs+j */
75         itmp = i*bs+j;
76         for (k=0; k<bs; k++) { /* col i*bs+k */
77           *(bj + rowstart[itmp]) = (*aj)*bs+k;
78           *(bv + rowstart[itmp]) = *(av+k*bs+j);
79           rowstart[itmp]++;
80         }
81       }
82       aj++; av += bs2;
83     }
84 
85     while (nz--) {
86       /* lower triangular blocks */
87       for (j=0; j<bs; j++) {   /* row (*aj)*bs+j */
88         itmp = (*aj)*bs+j;
89         for (k=0; k<bs; k++) { /* col i*bs+k */
90           *(bj + rowstart[itmp]) = i*bs+k;
91           *(bv + rowstart[itmp]) = aconj ? PetscConj(*(av+j*bs+k)) : *(av+j*bs+k);
92           rowstart[itmp]++;
93         }
94       }
95       /* upper triangular blocks */
96       for (j=0; j<bs; j++) {   /* row i*bs+j */
97         itmp = i*bs+j;
98         for (k=0; k<bs; k++) { /* col (*aj)*bs+k */
99           *(bj + rowstart[itmp]) = (*aj)*bs+k;
100           *(bv + rowstart[itmp]) = *(av+k*bs+j);
101           rowstart[itmp]++;
102         }
103       }
104       aj++; av += bs2;
105     }
106   }
107   ierr = PetscFree2(rowlengths,rowstart);CHKERRQ(ierr);
108   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
109   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
110 
111   if (reuse == MAT_INPLACE_MATRIX) {
112     ierr = MatHeaderReplace(A,&B);CHKERRQ(ierr);
113   } else {
114     *newmat = B;
115   }
116   PetscFunctionReturn(0);
117 }
118 
119 PETSC_INTERN PetscErrorCode MatConvert_SeqAIJ_SeqSBAIJ(Mat A,MatType newtype,MatReuse reuse,Mat *newmat)
120 {
121   Mat            B;
122   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
123   Mat_SeqSBAIJ   *b;
124   PetscErrorCode ierr;
125   PetscInt       *ai=a->i,*aj,m=A->rmap->N,n=A->cmap->N,i,j,*bi,*bj,*rowlengths,bs=PetscAbs(A->rmap->bs);
126   MatScalar      *av,*bv;
127 
128   PetscFunctionBegin;
129   if (!A->symmetric) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_USER,"Matrix must be symmetric. Call MatSetOption(mat,MAT_SYMMETRIC,PETSC_TRUE)");
130   if (n != m) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Matrix must be square");
131 
132   ierr = PetscMalloc1(m/bs,&rowlengths);CHKERRQ(ierr);
133   for (i=0; i<m/bs; i++) {
134     rowlengths[i] = (ai[i*bs+1] - a->diag[i*bs])/bs;
135   }
136   if (reuse != MAT_REUSE_MATRIX) {
137     ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
138     ierr = MatSetSizes(B,m,n,m,n);CHKERRQ(ierr);
139     ierr = MatSetType(B,MATSEQSBAIJ);CHKERRQ(ierr);
140     ierr = MatSeqSBAIJSetPreallocation(B,bs,0,rowlengths);CHKERRQ(ierr);
141   } else B = *newmat;
142 
143   if (bs == 1) {
144     b  = (Mat_SeqSBAIJ*)(B->data);
145     bi = b->i;
146     bj = b->j;
147     bv = b->a;
148 
149     bi[0] = 0;
150     for (i=0; i<m; i++) {
151       aj = a->j + a->diag[i];
152       av = a->a + a->diag[i];
153       for (j=0; j<rowlengths[i]; j++) {
154         *bj = *aj; bj++; aj++;
155         *bv = *av; bv++; av++;
156       }
157       bi[i+1]    = bi[i] + rowlengths[i];
158       b->ilen[i] = rowlengths[i];
159     }
160     ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
161     ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
162   } else {
163     ierr = MatSetOption(B,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
164     /* reuse may not be equal to MAT_REUSE_MATRIX, but the basic converter will reallocate or replace newmat if this value is not used */
165     /* if reuse is equal to MAT_INITIAL_MATRIX, it has been appropriately preallocated before                                          */
166     /*                      MAT_INPLACE_MATRIX, it will be replaced with MatHeaderReplace below                                        */
167     ierr = MatConvert_Basic(A,newtype,MAT_REUSE_MATRIX,&B);CHKERRQ(ierr);
168   }
169   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
170   if (reuse == MAT_INPLACE_MATRIX) {
171     ierr = MatHeaderReplace(A,&B);CHKERRQ(ierr);
172   } else *newmat = B;
173   PetscFunctionReturn(0);
174 }
175 
176 PETSC_INTERN PetscErrorCode MatConvert_SeqSBAIJ_SeqBAIJ(Mat A, MatType newtype,MatReuse reuse,Mat *newmat)
177 {
178   Mat            B;
179   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)A->data;
180   Mat_SeqBAIJ    *b;
181   PetscErrorCode ierr;
182   PetscInt       *ai=a->i,*aj=a->j,m=A->rmap->N,n=A->cmap->n,i,k,*bi,*bj,*browlengths,nz,*browstart,itmp;
183   PetscInt       bs =A->rmap->bs,bs2=bs*bs,mbs=m/bs,col,row;
184   MatScalar      *av,*bv;
185 #if defined(PETSC_USE_COMPLEX)
186   const int      aconj = A->hermitian ? 1 : 0;
187 #else
188   const int      aconj = 0;
189 #endif
190 
191   PetscFunctionBegin;
192   /* compute browlengths of newmat */
193   ierr = PetscMalloc2(mbs,&browlengths,mbs,&browstart);CHKERRQ(ierr);
194   for (i=0; i<mbs; i++) browlengths[i] = 0;
195   for (i=0; i<mbs; i++) {
196     nz = ai[i+1] - ai[i];
197     aj++; /* skip diagonal */
198     for (k=1; k<nz; k++) { /* no. of lower triangular blocks */
199       browlengths[*aj]++; aj++;
200     }
201     browlengths[i] += nz;   /* no. of upper triangular blocks */
202   }
203 
204   if (reuse != MAT_REUSE_MATRIX) {
205     ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
206     ierr = MatSetSizes(B,m,n,m,n);CHKERRQ(ierr);
207     ierr = MatSetType(B,MATSEQBAIJ);CHKERRQ(ierr);
208     ierr = MatSeqBAIJSetPreallocation(B,bs,0,browlengths);CHKERRQ(ierr);
209   } else B = *newmat;
210 
211   b  = (Mat_SeqBAIJ*)(B->data);
212   bi = b->i;
213   bj = b->j;
214   bv = b->a;
215 
216   /* set b->i */
217   bi[0] = 0;
218   for (i=0; i<mbs; i++) {
219     b->ilen[i]   = browlengths[i];
220     bi[i+1]      = bi[i] + browlengths[i];
221     browstart[i] = bi[i];
222   }
223   if (bi[mbs] != 2*a->nz - mbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"bi[mbs]: %D != 2*a->nz - mbs: %D\n",bi[mbs],2*a->nz - mbs);
224 
225   /* set b->j and b->a */
226   aj = a->j; av = a->a;
227   for (i=0; i<mbs; i++) {
228     /* diagonal block */
229     *(bj + browstart[i]) = *aj; aj++;
230 
231     itmp = bs2*browstart[i];
232     for (k=0; k<bs2; k++) {
233       *(bv + itmp + k) = *av; av++;
234     }
235     browstart[i]++;
236 
237     nz = ai[i+1] - ai[i] -1;
238     while (nz--) {
239       /* lower triangular blocks - transpose blocks of A */
240       *(bj + browstart[*aj]) = i; /* block col index */
241 
242       itmp = bs2*browstart[*aj];  /* row index */
243       for (col=0; col<bs; col++) {
244         k = col;
245         for (row=0; row<bs; row++) {
246           bv[itmp + col*bs+row] = aconj ? PetscConj(av[k]) : av[k];
247           k+=bs;
248         }
249       }
250       browstart[*aj]++;
251 
252       /* upper triangular blocks */
253       *(bj + browstart[i]) = *aj; aj++;
254 
255       itmp = bs2*browstart[i];
256       for (k=0; k<bs2; k++) {
257         bv[itmp + k] = av[k];
258       }
259       av += bs2;
260       browstart[i]++;
261     }
262   }
263   ierr = PetscFree2(browlengths,browstart);CHKERRQ(ierr);
264   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
265   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
266 
267   if (reuse == MAT_INPLACE_MATRIX) {
268     ierr = MatHeaderReplace(A,&B);CHKERRQ(ierr);
269   } else *newmat = B;
270   PetscFunctionReturn(0);
271 }
272 
273 PETSC_INTERN PetscErrorCode MatConvert_SeqBAIJ_SeqSBAIJ(Mat A, MatType newtype,MatReuse reuse,Mat *newmat)
274 {
275   Mat            B;
276   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
277   Mat_SeqSBAIJ   *b;
278   PetscErrorCode ierr;
279   PetscInt       *ai=a->i,*aj,m=A->rmap->N,n=A->cmap->n,i,j,k,*bi,*bj,*browlengths;
280   PetscInt       bs =A->rmap->bs,bs2=bs*bs,mbs=m/bs,dd;
281   MatScalar      *av,*bv;
282   PetscBool      flg;
283 
284   PetscFunctionBegin;
285   if (!A->symmetric) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_USER,"Matrix must be symmetric. Call MatSetOption(mat,MAT_SYMMETRIC,PETSC_TRUE)");
286   if (n != m) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Matrix must be square");
287   ierr = MatMissingDiagonal_SeqBAIJ(A,&flg,&dd);CHKERRQ(ierr); /* check for missing diagonals, then mark diag */
288   if (flg) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Matrix is missing diagonal %D",dd);
289 
290   ierr = PetscMalloc1(mbs,&browlengths);CHKERRQ(ierr);
291   for (i=0; i<mbs; i++) {
292     browlengths[i] = ai[i+1] - a->diag[i];
293   }
294 
295   if (reuse != MAT_REUSE_MATRIX) {
296     ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
297     ierr = MatSetSizes(B,m,n,m,n);CHKERRQ(ierr);
298     ierr = MatSetType(B,MATSEQSBAIJ);CHKERRQ(ierr);
299     ierr = MatSeqSBAIJSetPreallocation(B,bs,0,browlengths);CHKERRQ(ierr);
300   } else B = *newmat;
301 
302   b  = (Mat_SeqSBAIJ*)(B->data);
303   bi = b->i;
304   bj = b->j;
305   bv = b->a;
306 
307   bi[0] = 0;
308   for (i=0; i<mbs; i++) {
309     aj = a->j + a->diag[i];
310     av = a->a + (a->diag[i])*bs2;
311     for (j=0; j<browlengths[i]; j++) {
312       *bj = *aj; bj++; aj++;
313       for (k=0; k<bs2; k++) {
314         *bv = *av; bv++; av++;
315       }
316     }
317     bi[i+1]    = bi[i] + browlengths[i];
318     b->ilen[i] = browlengths[i];
319   }
320   ierr = PetscFree(browlengths);CHKERRQ(ierr);
321   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
322   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
323 
324   if (reuse == MAT_INPLACE_MATRIX) {
325     ierr = MatHeaderReplace(A,&B);CHKERRQ(ierr);
326   } else *newmat = B;
327   PetscFunctionReturn(0);
328 }
329