xref: /petsc/src/mat/impls/baij/seq/baij2.c (revision e80fee0d83fca2e79359165ac082b818fca7907f)
1 #ifdef PETSC_RCS_HEADER
2 static char vcid[] = "$Id: baij2.c,v 1.26 1998/04/13 17:39:42 bsmith Exp bsmith $";
3 #endif
4 
5 #include "pinclude/pviewer.h"
6 #include "sys.h"
7 #include "src/mat/impls/baij/seq/baij.h"
8 #include "src/vec/vecimpl.h"
9 #include "src/inline/spops.h"
10 #include "petsc.h"
11 #include "src/inline/bitarray.h"
12 
13 
14 #undef __FUNC__
15 #define __FUNC__ "MatIncreaseOverlap_SeqBAIJ"
16 int MatIncreaseOverlap_SeqBAIJ(Mat A,int is_max,IS *is,int ov)
17 {
18   Mat_SeqBAIJ *a = (Mat_SeqBAIJ *) A->data;
19   int         row, i,j,k,l,m,n, *idx,ierr, *nidx, isz, val, ival;
20   int         start, end, *ai, *aj,bs,*nidx2;
21   BT          table;
22 
23   PetscFunctionBegin;
24   m     = a->mbs;
25   ai    = a->i;
26   aj    = a->j;
27   bs    = a->bs;
28 
29   if (ov < 0)  SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,0,"Negative overlap specified");
30 
31   ierr  = BTCreate(m,table); CHKERRQ(ierr);
32   nidx  = (int *) PetscMalloc((m+1)*sizeof(int)); CHKPTRQ(nidx);
33   nidx2 = (int *)PetscMalloc((a->m+1)*sizeof(int)); CHKPTRQ(nidx2);
34 
35   for ( i=0; i<is_max; i++ ) {
36     /* Initialise the two local arrays */
37     isz  = 0;
38     BTMemzero(m,table);
39 
40     /* Extract the indices, assume there can be duplicate entries */
41     ierr = ISGetIndices(is[i],&idx);  CHKERRQ(ierr);
42     ierr = ISGetSize(is[i],&n);  CHKERRQ(ierr);
43 
44     /* Enter these into the temp arrays i.e mark table[row], enter row into new index */
45     for ( j=0; j<n ; ++j){
46       ival = idx[j]/bs; /* convert the indices into block indices */
47       if (ival>m) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,0,"index greater than mat-dim");
48       if(!BTLookupSet(table, ival)) { nidx[isz++] = ival;}
49     }
50     ierr = ISRestoreIndices(is[i],&idx);  CHKERRQ(ierr);
51     ierr = ISDestroy(is[i]); CHKERRQ(ierr);
52 
53     k = 0;
54     for ( j=0; j<ov; j++){ /* for each overlap*/
55       n = isz;
56       for ( ; k<n ; k++){ /* do only those rows in nidx[k], which are not done yet */
57         row   = nidx[k];
58         start = ai[row];
59         end   = ai[row+1];
60         for ( l = start; l<end ; l++){
61           val = aj[l];
62           if (!BTLookupSet(table,val)) {nidx[isz++] = val;}
63         }
64       }
65     }
66     /* expand the Index Set */
67     for (j=0; j<isz; j++ ) {
68       for (k=0; k<bs; k++ )
69         nidx2[j*bs+k] = nidx[j]*bs+k;
70     }
71     ierr = ISCreateGeneral(PETSC_COMM_SELF, isz*bs, nidx2, (is+i)); CHKERRQ(ierr);
72   }
73   BTDestroy(table);
74   PetscFree(nidx);
75   PetscFree(nidx2);
76   PetscFunctionReturn(0);
77 }
78 
79 #undef __FUNC__
80 #define __FUNC__ "MatGetSubMatrix_SeqBAIJ_Private"
81 int MatGetSubMatrix_SeqBAIJ_Private(Mat A,IS isrow,IS iscol,int cs,MatGetSubMatrixCall scall,Mat *B)
82 {
83   Mat_SeqBAIJ  *a = (Mat_SeqBAIJ *) A->data,*c;
84   int          *smap, i, k, kstart, kend, ierr, oldcols = a->nbs,*lens;
85   int          row,mat_i,*mat_j,tcol,*mat_ilen;
86   int          *irow, *icol, nrows, ncols,*ssmap,bs=a->bs, bs2=a->bs2;
87   int          *aj = a->j, *ai = a->i;
88   Scalar       *mat_a;
89   Mat          C;
90 
91   PetscFunctionBegin;
92   ierr = ISSorted(iscol,(PetscTruth*)&i);
93   if (!i) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,0,"IS is not sorted");
94 
95   ierr = ISGetIndices(isrow,&irow); CHKERRQ(ierr);
96   ierr = ISGetIndices(iscol,&icol); CHKERRQ(ierr);
97   ierr = ISGetSize(isrow,&nrows); CHKERRQ(ierr);
98   ierr = ISGetSize(iscol,&ncols); CHKERRQ(ierr);
99 
100   smap  = (int *) PetscMalloc((1+oldcols)*sizeof(int)); CHKPTRQ(smap);
101   ssmap = smap;
102   lens  = (int *) PetscMalloc((1+nrows)*sizeof(int)); CHKPTRQ(lens);
103   PetscMemzero(smap,oldcols*sizeof(int));
104   for ( i=0; i<ncols; i++ ) smap[icol[i]] = i+1;
105   /* determine lens of each row */
106   for (i=0; i<nrows; i++) {
107     kstart  = ai[irow[i]];
108     kend    = kstart + a->ilen[irow[i]];
109     lens[i] = 0;
110       for ( k=kstart; k<kend; k++ ) {
111         if (ssmap[aj[k]]) {
112           lens[i]++;
113         }
114       }
115     }
116   /* Create and fill new matrix */
117   if (scall == MAT_REUSE_MATRIX) {
118     c = (Mat_SeqBAIJ *)((*B)->data);
119 
120     if (c->mbs!=nrows || c->nbs!=ncols || c->bs!=bs) SETERRQ(PETSC_ERR_ARG_SIZ,0,"Submatrix wrong size");
121     if (PetscMemcmp(c->ilen,lens, c->mbs *sizeof(int))) {
122       SETERRQ(PETSC_ERR_ARG_SIZ,0,"Cannot reuse matrix. wrong no of nonzeros");
123     }
124     PetscMemzero(c->ilen,c->mbs*sizeof(int));
125     C = *B;
126   } else {
127     ierr = MatCreateSeqBAIJ(A->comm,bs,nrows*bs,ncols*bs,0,lens,&C);CHKERRQ(ierr);
128   }
129   c = (Mat_SeqBAIJ *)(C->data);
130   for (i=0; i<nrows; i++) {
131     row    = irow[i];
132     kstart = ai[row];
133     kend   = kstart + a->ilen[row];
134     mat_i  = c->i[i];
135     mat_j  = c->j + mat_i;
136     mat_a  = c->a + mat_i*bs2;
137     mat_ilen = c->ilen + i;
138     for ( k=kstart; k<kend; k++ ) {
139       if ((tcol=ssmap[a->j[k]])) {
140         *mat_j++ = tcol - 1;
141         PetscMemcpy(mat_a,a->a+k*bs2,bs2*sizeof(Scalar)); mat_a+=bs2;
142         (*mat_ilen)++;
143       }
144     }
145   }
146 
147   /* Free work space */
148   ierr = ISRestoreIndices(iscol,&icol); CHKERRQ(ierr);
149   PetscFree(smap); PetscFree(lens);
150   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY); CHKERRQ(ierr);
151   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY); CHKERRQ(ierr);
152 
153   ierr = ISRestoreIndices(isrow,&irow); CHKERRQ(ierr);
154   *B = C;
155   PetscFunctionReturn(0);
156 }
157 
158 #undef __FUNC__
159 #define __FUNC__ "MatGetSubMatrix_SeqBAIJ"
160 int MatGetSubMatrix_SeqBAIJ(Mat A,IS isrow,IS iscol,int cs,MatGetSubMatrixCall scall,Mat *B)
161 {
162   Mat_SeqBAIJ *a = (Mat_SeqBAIJ *) A->data;
163   IS          is1,is2;
164   int         *vary,*iary,*irow,*icol,nrows,ncols,i,ierr,bs=a->bs,count;
165 
166   PetscFunctionBegin;
167   ierr = ISGetIndices(isrow,&irow); CHKERRQ(ierr);
168   ierr = ISGetIndices(iscol,&icol); CHKERRQ(ierr);
169   ierr = ISGetSize(isrow,&nrows); CHKERRQ(ierr);
170   ierr = ISGetSize(iscol,&ncols); CHKERRQ(ierr);
171 
172   /* Verify if the indices corespond to each element in a block
173    and form the IS with compressed IS */
174   vary = (int *) PetscMalloc(2*(a->mbs+1)*sizeof(int)); CHKPTRQ(vary);
175   iary = vary + a->mbs;
176   PetscMemzero(vary,(a->mbs)*sizeof(int));
177   for ( i=0; i<nrows; i++) vary[irow[i]/bs]++;
178   count = 0;
179   for (i=0; i<a->mbs; i++) {
180     if (vary[i]!=0 && vary[i]!=bs) SETERRA(1,0,"Index set does not match blocks");
181     if (vary[i]==bs) iary[count++] = i;
182   }
183   ierr = ISCreateGeneral(PETSC_COMM_SELF, count, iary,&is1); CHKERRQ(ierr);
184 
185   PetscMemzero(vary,(a->mbs)*sizeof(int));
186   for ( i=0; i<ncols; i++) vary[icol[i]/bs]++;
187   count = 0;
188   for (i=0; i<a->mbs; i++) {
189     if (vary[i]!=0 && vary[i]!=bs) SETERRA(1,0,"MatGetSubmatrices_SeqBAIJ:");
190     if (vary[i]==bs) iary[count++] = i;
191   }
192   ierr = ISCreateGeneral(PETSC_COMM_SELF, count, iary,&is2); CHKERRQ(ierr);
193   ierr = ISRestoreIndices(isrow,&irow); CHKERRQ(ierr);
194   ierr = ISRestoreIndices(iscol,&icol); CHKERRQ(ierr);
195   PetscFree(vary);
196 
197   ierr = MatGetSubMatrix_SeqBAIJ_Private(A,is1,is2,cs,scall,B); CHKERRQ(ierr);
198   ISDestroy(is1);
199   ISDestroy(is2);
200   PetscFunctionReturn(0);
201 }
202 
203 #undef __FUNC__
204 #define __FUNC__ "MatGetSubMatrices_SeqBAIJ"
205 int MatGetSubMatrices_SeqBAIJ(Mat A,int n, IS *irow,IS *icol,MatGetSubMatrixCall scall,Mat **B)
206 {
207   int ierr,i;
208 
209   PetscFunctionBegin;
210   if (scall == MAT_INITIAL_MATRIX) {
211     *B = (Mat *) PetscMalloc( (n+1)*sizeof(Mat) ); CHKPTRQ(*B);
212   }
213 
214   for ( i=0; i<n; i++ ) {
215     ierr = MatGetSubMatrix_SeqBAIJ(A,irow[i],icol[i],PETSC_DECIDE,scall,&(*B)[i]);CHKERRQ(ierr);
216   }
217   PetscFunctionReturn(0);
218 }
219 
220 
221 /* -------------------------------------------------------*/
222 /* Should check that shapes of vectors and matrices match */
223 /* -------------------------------------------------------*/
224 #include "pinclude/blaslapack.h"
225 
226 #undef __FUNC__
227 #define __FUNC__ "MatMult_SeqBAIJ_1"
228 int MatMult_SeqBAIJ_1(Mat A,Vec xx,Vec zz)
229 {
230   Mat_SeqBAIJ     *a = (Mat_SeqBAIJ *) A->data;
231    Scalar *x,*z,*v,sum;
232   int             mbs=a->mbs,i,*idx,*ii,n,ierr;
233 
234   PetscFunctionBegin;
235   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
236   ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
237 
238   idx   = a->j;
239   v     = a->a;
240   ii    = a->i;
241 
242   for ( i=0; i<mbs; i++ ) {
243     n    = ii[1] - ii[0]; ii++;
244     sum  = 0.0;
245     while (n--) sum += *v++ * x[*idx++];
246     z[i] = sum;
247   }
248   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
249   ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
250   PLogFlops(2*a->nz - a->m);
251   PetscFunctionReturn(0);
252 }
253 
254 #undef __FUNC__
255 #define __FUNC__ "MatMult_SeqBAIJ_2"
256 int MatMult_SeqBAIJ_2(Mat A,Vec xx,Vec zz)
257 {
258   Mat_SeqBAIJ     *a = (Mat_SeqBAIJ *) A->data;
259    Scalar *x,*z,*v,*xb,sum1,sum2;
260    Scalar x1,x2;
261   int             ierr,mbs=a->mbs,i,*idx,*ii,j,n;
262 
263   PetscFunctionBegin;
264   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
265   ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
266 
267   idx   = a->j;
268   v     = a->a;
269   ii    = a->i;
270 
271   for ( i=0; i<mbs; i++ ) {
272     n  = ii[1] - ii[0]; ii++;
273     sum1 = 0.0; sum2 = 0.0;
274     for ( j=0; j<n; j++ ) {
275       xb = x + 2*(*idx++); x1 = xb[0]; x2 = xb[1];
276       sum1 += v[0]*x1 + v[2]*x2;
277       sum2 += v[1]*x1 + v[3]*x2;
278       v += 4;
279     }
280     z[0] = sum1; z[1] = sum2;
281     z += 2;
282   }
283   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
284   ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
285   PLogFlops(4*a->nz - a->m);
286   PetscFunctionReturn(0);
287 }
288 
289 #undef __FUNC__
290 #define __FUNC__ "MatMult_SeqBAIJ_3"
291 int MatMult_SeqBAIJ_3(Mat A,Vec xx,Vec zz)
292 {
293   Mat_SeqBAIJ  *a = (Mat_SeqBAIJ *) A->data;
294   Scalar       *x,*z,*v,*xb,sum1,sum2,sum3,x1,x2,x3;
295   int          ierr,mbs=a->mbs,i,*idx,*ii,j,n;
296 
297 #if defined(HAVE_PRAGMA_DISJOINT)
298 #pragma disjoint(*v,*z,*xb)
299 #endif
300 
301   PetscFunctionBegin;
302   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
303   ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
304 
305   idx   = a->j;
306   v     = a->a;
307   ii    = a->i;
308 
309   for ( i=0; i<mbs; i++ ) {
310     n  = ii[1] - ii[0]; ii++;
311     sum1 = 0.0; sum2 = 0.0; sum3 = 0.0;
312     for ( j=0; j<n; j++ ) {
313       xb = x + 3*(*idx++); x1 = xb[0]; x2 = xb[1]; x3 = xb[2];
314       sum1 += v[0]*x1 + v[3]*x2 + v[6]*x3;
315       sum2 += v[1]*x1 + v[4]*x2 + v[7]*x3;
316       sum3 += v[2]*x1 + v[5]*x2 + v[8]*x3;
317       v += 9;
318     }
319     z[0] = sum1; z[1] = sum2; z[2] = sum3;
320     z += 3;
321   }
322   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
323   ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
324   PLogFlops(18*a->nz - a->m);
325   PetscFunctionReturn(0);
326 }
327 
328 #undef __FUNC__
329 #define __FUNC__ "MatMult_SeqBAIJ_4"
330 int MatMult_SeqBAIJ_4(Mat A,Vec xx,Vec zz)
331 {
332   Mat_SeqBAIJ     *a = (Mat_SeqBAIJ *) A->data;
333    Scalar *x,*z,*v,*xb,sum1,sum2,sum3,sum4,x1,x2,x3,x4;
334   int             ierr,mbs=a->mbs,i,*idx,*ii,j,n;
335 
336   PetscFunctionBegin;
337   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
338   ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
339 
340   idx   = a->j;
341   v     = a->a;
342   ii    = a->i;
343 
344   for ( i=0; i<mbs; i++ ) {
345     n  = ii[1] - ii[0]; ii++;
346     sum1 = 0.0; sum2 = 0.0; sum3 = 0.0; sum4 = 0.0;
347     for ( j=0; j<n; j++ ) {
348       xb = x + 4*(*idx++);
349       x1 = xb[0]; x2 = xb[1]; x3 = xb[2]; x4 = xb[3];
350       sum1 += v[0]*x1 + v[4]*x2 + v[8]*x3   + v[12]*x4;
351       sum2 += v[1]*x1 + v[5]*x2 + v[9]*x3   + v[13]*x4;
352       sum3 += v[2]*x1 + v[6]*x2 + v[10]*x3  + v[14]*x4;
353       sum4 += v[3]*x1 + v[7]*x2 + v[11]*x3  + v[15]*x4;
354       v += 16;
355     }
356     z[0] = sum1; z[1] = sum2; z[2] = sum3; z[3] = sum4;
357     z += 4;
358   }
359   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
360   ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
361   PLogFlops(32*a->nz - a->m);
362   PetscFunctionReturn(0);
363 }
364 
365 #undef __FUNC__
366 #define __FUNC__ "MatMult_SeqBAIJ_5"
367 int MatMult_SeqBAIJ_5(Mat A,Vec xx,Vec zz)
368 {
369   Mat_SeqBAIJ     *a = (Mat_SeqBAIJ *) A->data;
370   Scalar sum1,sum2,sum3,sum4,sum5,x1,x2,x3,x4,x5;
371   Scalar *  v,*  xb,*  z, *  x;
372   int             ierr,mbs=a->mbs,i,*idx,*ii,j,n;
373 
374   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
375   ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
376 
377   idx   = a->j;
378   v     = a->a;
379   ii    = a->i;
380 
381   for ( i=0; i<mbs; i++ ) {
382     n  = ii[1] - ii[0]; ii++;
383     sum1 = 0.0; sum2 = 0.0; sum3 = 0.0; sum4 = 0.0; sum5 = 0.0;
384     for ( j=0; j<n; j++ ) {
385       xb = x + 5*(*idx++);
386       x1 = xb[0]; x2 = xb[1]; x3 = xb[2]; x4 = xb[3]; x5 = xb[4];
387       sum1 += v[0]*x1 + v[5]*x2 + v[10]*x3  + v[15]*x4 + v[20]*x5;
388       sum2 += v[1]*x1 + v[6]*x2 + v[11]*x3  + v[16]*x4 + v[21]*x5;
389       sum3 += v[2]*x1 + v[7]*x2 + v[12]*x3  + v[17]*x4 + v[22]*x5;
390       sum4 += v[3]*x1 + v[8]*x2 + v[13]*x3  + v[18]*x4 + v[23]*x5;
391       sum5 += v[4]*x1 + v[9]*x2 + v[14]*x3  + v[19]*x4 + v[24]*x5;
392       v += 25;
393     }
394     z[0] = sum1; z[1] = sum2; z[2] = sum3; z[3] = sum4; z[4] = sum5;
395     z += 5;
396   }
397   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
398   ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
399   PLogFlops(50*a->nz - a->m);
400   PetscFunctionReturn(0);
401 }
402 
403 #undef __FUNC__
404 #define __FUNC__ "MatMult_SeqBAIJ_7"
405 int MatMult_SeqBAIJ_7(Mat A,Vec xx,Vec zz)
406 {
407   Mat_SeqBAIJ     *a = (Mat_SeqBAIJ *) A->data;
408    Scalar *x,*z,*v,*xb,sum1,sum2,sum3,sum4,sum5,sum6,sum7;
409    Scalar x1,x2,x3,x4,x5,x6,x7;
410   int             ierr,mbs=a->mbs,i,*idx,*ii,j,n;
411 
412   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
413   ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
414 
415   idx   = a->j;
416   v     = a->a;
417   ii    = a->i;
418 
419   for ( i=0; i<mbs; i++ ) {
420     n  = ii[1] - ii[0]; ii++;
421     sum1 = 0.0; sum2 = 0.0; sum3 = 0.0; sum4 = 0.0; sum5 = 0.0; sum6 = 0.0; sum7 = 0.0;
422     for ( j=0; j<n; j++ ) {
423       xb = x + 7*(*idx++);
424       x1 = xb[0]; x2 = xb[1]; x3 = xb[2]; x4 = xb[3]; x5 = xb[4]; x6 = xb[5]; x7 = xb[6];
425       sum1 += v[0]*x1 + v[7]*x2  + v[14]*x3  + v[21]*x4 + v[28]*x5 + v[35]*x6 + v[42]*x7;
426       sum2 += v[1]*x1 + v[8]*x2  + v[15]*x3  + v[22]*x4 + v[29]*x5 + v[36]*x6 + v[43]*x7;
427       sum3 += v[2]*x1 + v[9]*x2  + v[16]*x3  + v[23]*x4 + v[30]*x5 + v[37]*x6 + v[44]*x7;
428       sum4 += v[3]*x1 + v[10]*x2 + v[17]*x3  + v[24]*x4 + v[31]*x5 + v[38]*x6 + v[45]*x7;
429       sum5 += v[4]*x1 + v[11]*x2 + v[18]*x3  + v[25]*x4 + v[32]*x5 + v[39]*x6 + v[46]*x7;
430       sum6 += v[5]*x1 + v[12]*x2 + v[19]*x3  + v[26]*x4 + v[33]*x5 + v[40]*x6 + v[47]*x7;
431       sum7 += v[6]*x1 + v[13]*x2 + v[20]*x3  + v[27]*x4 + v[34]*x5 + v[41]*x6 + v[48]*x7;
432       v += 49;
433     }
434     z[0] = sum1; z[1] = sum2; z[2] = sum3; z[3] = sum4; z[4] = sum5; z[5] = sum6; z[6] = sum7;
435     z += 7;
436   }
437 
438   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
439   ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
440   PLogFlops(98*a->nz - a->m);
441   PetscFunctionReturn(0);
442 }
443 
444 #undef __FUNC__
445 #define __FUNC__ "MatMult_SeqBAIJ_N"
446 int MatMult_SeqBAIJ_N(Mat A,Vec xx,Vec zz)
447 {
448   Mat_SeqBAIJ     *a = (Mat_SeqBAIJ *) A->data;
449    Scalar *x,*z,*v,*xb;
450   Scalar          _DOne = 1.0,*work,*workt,_DZero = 0.0;
451   int             ierr,mbs=a->mbs,i,*idx,*ii,bs=a->bs,j,n,bs2=a->bs2;
452   int             _One = 1,ncols,k;
453 
454   PetscFunctionBegin;
455   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
456   ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
457 
458   idx   = a->j;
459   v     = a->a;
460   ii    = a->i;
461 
462 
463   if (!a->mult_work) {
464     k = PetscMax(a->m,a->n);
465     a->mult_work = (Scalar *) PetscMalloc((k+1)*sizeof(Scalar));CHKPTRQ(a->mult_work);
466   }
467   work = a->mult_work;
468   for ( i=0; i<mbs; i++ ) {
469     n     = ii[1] - ii[0]; ii++;
470     ncols = n*bs;
471     workt = work;
472     for ( j=0; j<n; j++ ) {
473       xb = x + bs*(*idx++);
474       for ( k=0; k<bs; k++ ) workt[k] = xb[k];
475       workt += bs;
476     }
477     LAgemv_("N",&bs,&ncols,&_DOne,v,&bs,work,&_One,&_DZero,z,&_One);
478     v += n*bs2;
479     z += bs;
480   }
481   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
482   ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
483   PLogFlops(2*a->nz*bs2 - a->m);
484   PetscFunctionReturn(0);
485 }
486 
487 #undef __FUNC__
488 #define __FUNC__ "MatMultAdd_SeqBAIJ_1"
489 int MatMultAdd_SeqBAIJ_1(Mat A,Vec xx,Vec yy,Vec zz)
490 {
491   Mat_SeqBAIJ     *a = (Mat_SeqBAIJ *) A->data;
492    Scalar *x,*y,*z,*v,sum;
493   int             ierr,mbs=a->mbs,i,*idx,*ii,n;
494 
495   PetscFunctionBegin;
496   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
497   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
498   ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
499 
500   idx   = a->j;
501   v     = a->a;
502   ii    = a->i;
503 
504   for ( i=0; i<mbs; i++ ) {
505     n    = ii[1] - ii[0]; ii++;
506     sum  = y[i];
507     while (n--) sum += *v++ * x[*idx++];
508     z[i] = sum;
509   }
510   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
511   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
512   ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
513   PLogFlops(2*a->nz);
514   PetscFunctionReturn(0);
515 }
516 
517 #undef __FUNC__
518 #define __FUNC__ "MatMultAdd_SeqBAIJ_2"
519 int MatMultAdd_SeqBAIJ_2(Mat A,Vec xx,Vec yy,Vec zz)
520 {
521   Mat_SeqBAIJ     *a = (Mat_SeqBAIJ *) A->data;
522    Scalar *x,*y,*z,*v,*xb,sum1,sum2;
523    Scalar x1,x2;
524   int             ierr,mbs=a->mbs,i,*idx,*ii,j,n;
525 
526   PetscFunctionBegin;
527   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
528   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
529   ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
530 
531   idx   = a->j;
532   v     = a->a;
533   ii    = a->i;
534 
535   for ( i=0; i<mbs; i++ ) {
536     n  = ii[1] - ii[0]; ii++;
537     sum1 = y[0]; sum2 = y[1];
538     for ( j=0; j<n; j++ ) {
539       xb = x + 2*(*idx++); x1 = xb[0]; x2 = xb[1];
540       sum1 += v[0]*x1 + v[2]*x2;
541       sum2 += v[1]*x1 + v[3]*x2;
542       v += 4;
543     }
544     z[0] = sum1; z[1] = sum2;
545     z += 2; y += 2;
546   }
547   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
548   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
549   ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
550   PLogFlops(4*a->nz);
551   PetscFunctionReturn(0);
552 }
553 
554 #undef __FUNC__
555 #define __FUNC__ "MatMultAdd_SeqBAIJ_3"
556 int MatMultAdd_SeqBAIJ_3(Mat A,Vec xx,Vec yy,Vec zz)
557 {
558   Mat_SeqBAIJ     *a = (Mat_SeqBAIJ *) A->data;
559    Scalar *x,*y,*z,*v,*xb,sum1,sum2,sum3,x1,x2,x3;
560   int             ierr,mbs=a->mbs,i,*idx,*ii,j,n;
561 
562   PetscFunctionBegin;
563   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
564   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
565   ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
566 
567   idx   = a->j;
568   v     = a->a;
569   ii    = a->i;
570 
571   for ( i=0; i<mbs; i++ ) {
572     n  = ii[1] - ii[0]; ii++;
573     sum1 = y[0]; sum2 = y[1]; sum3 = y[2];
574     for ( j=0; j<n; j++ ) {
575       xb = x + 3*(*idx++); x1 = xb[0]; x2 = xb[1]; x3 = xb[2];
576       sum1 += v[0]*x1 + v[3]*x2 + v[6]*x3;
577       sum2 += v[1]*x1 + v[4]*x2 + v[7]*x3;
578       sum3 += v[2]*x1 + v[5]*x2 + v[8]*x3;
579       v += 9;
580     }
581     z[0] = sum1; z[1] = sum2; z[2] = sum3;
582     z += 3; y += 3;
583   }
584   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
585   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
586   ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
587   PLogFlops(18*a->nz);
588   PetscFunctionReturn(0);
589 }
590 
591 #undef __FUNC__
592 #define __FUNC__ "MatMultAdd_SeqBAIJ_4"
593 int MatMultAdd_SeqBAIJ_4(Mat A,Vec xx,Vec yy,Vec zz)
594 {
595   Mat_SeqBAIJ     *a = (Mat_SeqBAIJ *) A->data;
596    Scalar *x,*y,*z,*v,*xb,sum1,sum2,sum3,sum4,x1,x2,x3,x4;
597   int             ierr,mbs=a->mbs,i,*idx,*ii;
598   int             j,n;
599 
600   PetscFunctionBegin;
601   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
602   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
603   ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
604 
605   idx   = a->j;
606   v     = a->a;
607   ii    = a->i;
608 
609   for ( i=0; i<mbs; i++ ) {
610     n  = ii[1] - ii[0]; ii++;
611     sum1 = y[0]; sum2 = y[1]; sum3 = y[2]; sum4 = y[3];
612     for ( j=0; j<n; j++ ) {
613       xb = x + 4*(*idx++);
614       x1 = xb[0]; x2 = xb[1]; x3 = xb[2]; x4 = xb[3];
615       sum1 += v[0]*x1 + v[4]*x2 + v[8]*x3   + v[12]*x4;
616       sum2 += v[1]*x1 + v[5]*x2 + v[9]*x3   + v[13]*x4;
617       sum3 += v[2]*x1 + v[6]*x2 + v[10]*x3  + v[14]*x4;
618       sum4 += v[3]*x1 + v[7]*x2 + v[11]*x3  + v[15]*x4;
619       v += 16;
620     }
621     z[0] = sum1; z[1] = sum2; z[2] = sum3; z[3] = sum4;
622     z += 4; y += 4;
623   }
624   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
625   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
626   ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
627   PLogFlops(32*a->nz);
628   PetscFunctionReturn(0);
629 }
630 
631 #undef __FUNC__
632 #define __FUNC__ "MatMultAdd_SeqBAIJ_5"
633 int MatMultAdd_SeqBAIJ_5(Mat A,Vec xx,Vec yy,Vec zz)
634 {
635   Mat_SeqBAIJ     *a = (Mat_SeqBAIJ *) A->data;
636    Scalar *x,*y,*z,*v,*xb,sum1,sum2,sum3,sum4,sum5,x1,x2,x3,x4,x5;
637   int             ierr,mbs=a->mbs,i,*idx,*ii,j,n;
638 
639   PetscFunctionBegin;
640   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
641   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
642   ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
643 
644   idx   = a->j;
645   v     = a->a;
646   ii    = a->i;
647 
648   for ( i=0; i<mbs; i++ ) {
649     n  = ii[1] - ii[0]; ii++;
650     sum1 = y[0]; sum2 = y[1]; sum3 = y[2]; sum4 = y[3]; sum5 = y[4];
651     for ( j=0; j<n; j++ ) {
652       xb = x + 5*(*idx++);
653       x1 = xb[0]; x2 = xb[1]; x3 = xb[2]; x4 = xb[3]; x5 = xb[4];
654       sum1 += v[0]*x1 + v[5]*x2 + v[10]*x3  + v[15]*x4 + v[20]*x5;
655       sum2 += v[1]*x1 + v[6]*x2 + v[11]*x3  + v[16]*x4 + v[21]*x5;
656       sum3 += v[2]*x1 + v[7]*x2 + v[12]*x3  + v[17]*x4 + v[22]*x5;
657       sum4 += v[3]*x1 + v[8]*x2 + v[13]*x3  + v[18]*x4 + v[23]*x5;
658       sum5 += v[4]*x1 + v[9]*x2 + v[14]*x3  + v[19]*x4 + v[24]*x5;
659       v += 25;
660     }
661     z[0] = sum1; z[1] = sum2; z[2] = sum3; z[3] = sum4; z[4] = sum5;
662     z += 5; y += 5;
663   }
664   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
665   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
666   ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
667   PLogFlops(50*a->nz);
668   PetscFunctionReturn(0);
669 }
670 
671 #undef __FUNC__
672 #define __FUNC__ "MatMultAdd_SeqBAIJ_7"
673 int MatMultAdd_SeqBAIJ_7(Mat A,Vec xx,Vec yy,Vec zz)
674 {
675   Mat_SeqBAIJ     *a = (Mat_SeqBAIJ *) A->data;
676   Scalar          *x,*y,*z,*v,*xb,sum1,sum2,sum3,sum4,sum5,sum6,sum7;
677   Scalar          x1,x2,x3,x4,x5,x6,x7;
678   int             ierr,mbs=a->mbs,i,*idx,*ii,j,n;
679 
680   PetscFunctionBegin;
681   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
682   ierr = VecGetArray(yy,&y);CHKERRQ(ierr);
683   ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
684 
685   idx   = a->j;
686   v     = a->a;
687   ii    = a->i;
688 
689   for ( i=0; i<mbs; i++ ) {
690     n  = ii[1] - ii[0]; ii++;
691     sum1 = y[0]; sum2 = y[1]; sum3 = y[2]; sum4 = y[3]; sum5 = y[4]; sum6 = y[5]; sum7 = y[6];
692     for ( j=0; j<n; j++ ) {
693       xb = x + 7*(*idx++);
694       x1 = xb[0]; x2 = xb[1]; x3 = xb[2]; x4 = xb[3]; x5 = xb[4]; x6 = xb[5]; x7 = xb[6];
695       sum1 += v[0]*x1 + v[7]*x2  + v[14]*x3  + v[21]*x4 + v[28]*x5 + v[35]*x6 + v[42]*x7;
696       sum2 += v[1]*x1 + v[8]*x2  + v[15]*x3  + v[22]*x4 + v[29]*x5 + v[36]*x6 + v[43]*x7;
697       sum3 += v[2]*x1 + v[9]*x2  + v[16]*x3  + v[23]*x4 + v[30]*x5 + v[37]*x6 + v[44]*x7;
698       sum4 += v[3]*x1 + v[10]*x2 + v[17]*x3  + v[24]*x4 + v[31]*x5 + v[38]*x6 + v[45]*x7;
699       sum5 += v[4]*x1 + v[11]*x2 + v[18]*x3  + v[25]*x4 + v[32]*x5 + v[39]*x6 + v[46]*x7;
700       sum6 += v[5]*x1 + v[12]*x2 + v[19]*x3  + v[26]*x4 + v[33]*x5 + v[40]*x6 + v[47]*x7;
701       sum7 += v[6]*x1 + v[13]*x2 + v[20]*x3  + v[27]*x4 + v[34]*x5 + v[41]*x6 + v[48]*x7;
702       v += 49;
703     }
704     z[0] = sum1; z[1] = sum2; z[2] = sum3; z[3] = sum4; z[4] = sum5; z[5] = sum6; z[6] = sum7;
705     z += 7; y += 7;
706   }
707   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
708   ierr = VecRestoreArray(yy,&y);CHKERRQ(ierr);
709   ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
710   PLogFlops(98*a->nz);
711   PetscFunctionReturn(0);
712 }
713 
714 
715 #undef __FUNC__
716 #define __FUNC__ "MatMultAdd_SeqBAIJ_N"
717 int MatMultAdd_SeqBAIJ_N(Mat A,Vec xx,Vec yy,Vec zz)
718 {
719   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ *) A->data;
720   Scalar         *x,*z,*v,*xb;
721   int            mbs=a->mbs,i,*idx,*ii,bs=a->bs,j,n,bs2=a->bs2,ierr;
722   int             _One = 1,ncols,k; Scalar _DOne = 1.0, *work,*workt;
723 
724   PetscFunctionBegin;
725   if ( xx != yy) { ierr = VecCopy(yy,zz); CHKERRQ(ierr); }
726 
727   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
728   ierr = VecGetArray(zz,&z);CHKERRQ(ierr);
729 
730   idx   = a->j;
731   v     = a->a;
732   ii    = a->i;
733 
734 
735   if (!a->mult_work) {
736     k = PetscMax(a->m,a->n);
737     a->mult_work = (Scalar *) PetscMalloc(k*sizeof(Scalar));CHKPTRQ(a->mult_work);
738   }
739   work = a->mult_work;
740   for ( i=0; i<mbs; i++ ) {
741     n     = ii[1] - ii[0]; ii++;
742     ncols = n*bs;
743     workt = work;
744     for ( j=0; j<n; j++ ) {
745       xb = x + bs*(*idx++);
746       for ( k=0; k<bs; k++ ) workt[k] = xb[k];
747       workt += bs;
748     }
749     LAgemv_("N",&bs,&ncols,&_DOne,v,&bs,work,&_One,&_DOne,z,&_One);
750     v += n*bs2;
751     z += bs;
752   }
753   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
754   ierr = VecRestoreArray(zz,&z);CHKERRQ(ierr);
755   PLogFlops(2*a->nz*bs2 );
756   PetscFunctionReturn(0);
757 }
758 
759 #undef __FUNC__
760 #define __FUNC__ "MatMultTrans_SeqBAIJ"
761 int MatMultTrans_SeqBAIJ(Mat A,Vec xx,Vec zz)
762 {
763   Mat_SeqBAIJ     *a = (Mat_SeqBAIJ *) A->data;
764   Scalar          *xg,*zg,*zb;
765    Scalar *x,*z,*v,*xb,x1,x2,x3,x4,x5;
766   int             mbs=a->mbs,i,*idx,*ii,*ai=a->i,rval,N=a->n;
767   int             bs=a->bs,j,n,bs2=a->bs2,*ib,ierr;
768 
769 
770   PetscFunctionBegin;
771   ierr = VecGetArray(xx,&xg);CHKERRQ(ierr); x = xg;
772   ierr = VecGetArray(zz,&zg);CHKERRQ(ierr); z = zg;
773   PetscMemzero(z,N*sizeof(Scalar));
774 
775   idx   = a->j;
776   v     = a->a;
777   ii    = a->i;
778 
779   switch (bs) {
780   case 1:
781     for ( i=0; i<mbs; i++ ) {
782       n  = ii[1] - ii[0]; ii++;
783       xb = x + i; x1 = xb[0];
784       ib = idx + ai[i];
785       for ( j=0; j<n; j++ ) {
786         rval    = ib[j];
787         z[rval] += *v++ * x1;
788       }
789     }
790     break;
791   case 2:
792     for ( i=0; i<mbs; i++ ) {
793       n  = ii[1] - ii[0]; ii++;
794       xb = x + 2*i; x1 = xb[0]; x2 = xb[1];
795       ib = idx + ai[i];
796       for ( j=0; j<n; j++ ) {
797         rval      = ib[j]*2;
798         z[rval++] += v[0]*x1 + v[1]*x2;
799         z[rval++] += v[2]*x1 + v[3]*x2;
800         v += 4;
801       }
802     }
803     break;
804   case 3:
805     for ( i=0; i<mbs; i++ ) {
806       n  = ii[1] - ii[0]; ii++;
807       xb = x + 3*i; x1 = xb[0]; x2 = xb[1]; x3 = xb[2];
808       ib = idx + ai[i];
809       for ( j=0; j<n; j++ ) {
810         rval      = ib[j]*3;
811         z[rval++] += v[0]*x1 + v[1]*x2 + v[2]*x3;
812         z[rval++] += v[3]*x1 + v[4]*x2 + v[5]*x3;
813         z[rval++] += v[6]*x1 + v[7]*x2 + v[8]*x3;
814         v += 9;
815       }
816     }
817     break;
818   case 4:
819     for ( i=0; i<mbs; i++ ) {
820       n  = ii[1] - ii[0]; ii++;
821       xb = x + 4*i; x1 = xb[0]; x2 = xb[1]; x3 = xb[2]; x4 = xb[3];
822       ib = idx + ai[i];
823       for ( j=0; j<n; j++ ) {
824         rval      = ib[j]*4;
825         z[rval++] +=  v[0]*x1 +  v[1]*x2 +  v[2]*x3 +  v[3]*x4;
826         z[rval++] +=  v[4]*x1 +  v[5]*x2 +  v[6]*x3 +  v[7]*x4;
827         z[rval++] +=  v[8]*x1 +  v[9]*x2 + v[10]*x3 + v[11]*x4;
828         z[rval++] += v[12]*x1 + v[13]*x2 + v[14]*x3 + v[15]*x4;
829         v += 16;
830       }
831     }
832     break;
833   case 5:
834     for ( i=0; i<mbs; i++ ) {
835       n  = ii[1] - ii[0]; ii++;
836       xb = x + 5*i; x1 = xb[0]; x2 = xb[1]; x3 = xb[2];
837       x4 = xb[3];   x5 = xb[4];
838       ib = idx + ai[i];
839       for ( j=0; j<n; j++ ) {
840         rval      = ib[j]*5;
841         z[rval++] +=  v[0]*x1 +  v[1]*x2 +  v[2]*x3 +  v[3]*x4 +  v[4]*x5;
842         z[rval++] +=  v[5]*x1 +  v[6]*x2 +  v[7]*x3 +  v[8]*x4 +  v[9]*x5;
843         z[rval++] += v[10]*x1 + v[11]*x2 + v[12]*x3 + v[13]*x4 + v[14]*x5;
844         z[rval++] += v[15]*x1 + v[16]*x2 + v[17]*x3 + v[18]*x4 + v[19]*x5;
845         z[rval++] += v[20]*x1 + v[21]*x2 + v[22]*x3 + v[23]*x4 + v[24]*x5;
846         v += 25;
847       }
848     }
849     break;
850       /* block sizes larger then 5 by 5 are handled by BLAS */
851     default: {
852       int  _One = 1,ncols,k; Scalar _DOne = 1.0, *work,*workt;
853       if (!a->mult_work) {
854         k = PetscMax(a->m,a->n);
855         a->mult_work = (Scalar *) PetscMalloc(k*sizeof(Scalar));
856         CHKPTRQ(a->mult_work);
857       }
858       work = a->mult_work;
859       for ( i=0; i<mbs; i++ ) {
860         n     = ii[1] - ii[0]; ii++;
861         ncols = n*bs;
862         PetscMemzero(work,ncols*sizeof(Scalar));
863         LAgemv_("T",&bs,&ncols,&_DOne,v,&bs,x,&_One,&_DOne,work,&_One);
864         v += n*bs2;
865         x += bs;
866         workt = work;
867         for ( j=0; j<n; j++ ) {
868           zb = z + bs*(*idx++);
869           for ( k=0; k<bs; k++ ) zb[k] += workt[k] ;
870           workt += bs;
871         }
872       }
873     }
874   }
875   ierr = VecRestoreArray(xx,&xg); CHKERRQ(ierr);
876   ierr = VecRestoreArray(zz,&zg); CHKERRQ(ierr);
877   PLogFlops(2*a->nz*a->bs2 - a->n);
878   PetscFunctionReturn(0);
879 }
880 
881 #undef __FUNC__
882 #define __FUNC__ "MatMultTransAdd_SeqBAIJ"
883 int MatMultTransAdd_SeqBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
884 
885 {
886   Mat_SeqBAIJ     *a = (Mat_SeqBAIJ *) A->data;
887   Scalar          *xg,*zg,*zb;
888   Scalar          *x,*z,*v,*xb,x1,x2,x3,x4,x5;
889   int             mbs=a->mbs,i,*idx,*ii,*ai=a->i,rval,N=a->n;
890   int             bs=a->bs,j,n,bs2=a->bs2,*ib,ierr;
891 
892   PetscFunctionBegin;
893   ierr = VecGetArray(xx,&xg);CHKERRQ(ierr); x = xg;
894   ierr = VecGetArray(zz,&zg);CHKERRQ(ierr); z = zg;
895 
896   if ( yy != zz ) { ierr = VecCopy(yy,zz); CHKERRQ(ierr); }
897   else PetscMemzero(z,N*sizeof(Scalar));
898 
899   idx   = a->j;
900   v     = a->a;
901   ii    = a->i;
902 
903   switch (bs) {
904   case 1:
905     for ( i=0; i<mbs; i++ ) {
906       n  = ii[1] - ii[0]; ii++;
907       xb = x + i; x1 = xb[0];
908       ib = idx + ai[i];
909       for ( j=0; j<n; j++ ) {
910         rval    = ib[j];
911         z[rval] += *v++ * x1;
912       }
913     }
914     break;
915   case 2:
916     for ( i=0; i<mbs; i++ ) {
917       n  = ii[1] - ii[0]; ii++;
918       xb = x + 2*i; x1 = xb[0]; x2 = xb[1];
919       ib = idx + ai[i];
920       for ( j=0; j<n; j++ ) {
921         rval      = ib[j]*2;
922         z[rval++] += v[0]*x1 + v[1]*x2;
923         z[rval++] += v[2]*x1 + v[3]*x2;
924         v += 4;
925       }
926     }
927     break;
928   case 3:
929     for ( i=0; i<mbs; i++ ) {
930       n  = ii[1] - ii[0]; ii++;
931       xb = x + 3*i; x1 = xb[0]; x2 = xb[1]; x3 = xb[2];
932       ib = idx + ai[i];
933       for ( j=0; j<n; j++ ) {
934         rval      = ib[j]*3;
935         z[rval++] += v[0]*x1 + v[1]*x2 + v[2]*x3;
936         z[rval++] += v[3]*x1 + v[4]*x2 + v[5]*x3;
937         z[rval++] += v[6]*x1 + v[7]*x2 + v[8]*x3;
938         v += 9;
939       }
940     }
941     break;
942   case 4:
943     for ( i=0; i<mbs; i++ ) {
944       n  = ii[1] - ii[0]; ii++;
945       xb = x + 4*i; x1 = xb[0]; x2 = xb[1]; x3 = xb[2]; x4 = xb[3];
946       ib = idx + ai[i];
947       for ( j=0; j<n; j++ ) {
948         rval      = ib[j]*4;
949         z[rval++] +=  v[0]*x1 +  v[1]*x2 +  v[2]*x3 +  v[3]*x4;
950         z[rval++] +=  v[4]*x1 +  v[5]*x2 +  v[6]*x3 +  v[7]*x4;
951         z[rval++] +=  v[8]*x1 +  v[9]*x2 + v[10]*x3 + v[11]*x4;
952         z[rval++] += v[12]*x1 + v[13]*x2 + v[14]*x3 + v[15]*x4;
953         v += 16;
954       }
955     }
956     break;
957   case 5:
958     for ( i=0; i<mbs; i++ ) {
959       n  = ii[1] - ii[0]; ii++;
960       xb = x + 5*i; x1 = xb[0]; x2 = xb[1]; x3 = xb[2];
961       x4 = xb[3];   x5 = xb[4];
962       ib = idx + ai[i];
963       for ( j=0; j<n; j++ ) {
964         rval      = ib[j]*5;
965         z[rval++] +=  v[0]*x1 +  v[1]*x2 +  v[2]*x3 +  v[3]*x4 +  v[4]*x5;
966         z[rval++] +=  v[5]*x1 +  v[6]*x2 +  v[7]*x3 +  v[8]*x4 +  v[9]*x5;
967         z[rval++] += v[10]*x1 + v[11]*x2 + v[12]*x3 + v[13]*x4 + v[14]*x5;
968         z[rval++] += v[15]*x1 + v[16]*x2 + v[17]*x3 + v[18]*x4 + v[19]*x5;
969         z[rval++] += v[20]*x1 + v[21]*x2 + v[22]*x3 + v[23]*x4 + v[24]*x5;
970         v += 25;
971       }
972     }
973     break;
974       /* block sizes larger then 5 by 5 are handled by BLAS */
975     default: {
976       int  _One = 1,ncols,k; Scalar _DOne = 1.0, *work,*workt;
977       if (!a->mult_work) {
978         k = PetscMax(a->m,a->n);
979         a->mult_work = (Scalar *) PetscMalloc(k*sizeof(Scalar));
980         CHKPTRQ(a->mult_work);
981       }
982       work = a->mult_work;
983       for ( i=0; i<mbs; i++ ) {
984         n     = ii[1] - ii[0]; ii++;
985         ncols = n*bs;
986         PetscMemzero(work,ncols*sizeof(Scalar));
987         LAgemv_("T",&bs,&ncols,&_DOne,v,&bs,x,&_One,&_DOne,work,&_One);
988         v += n*bs2;
989         x += bs;
990         workt = work;
991         for ( j=0; j<n; j++ ) {
992           zb = z + bs*(*idx++);
993           for ( k=0; k<bs; k++ ) zb[k] += workt[k] ;
994           workt += bs;
995         }
996       }
997     }
998   }
999   ierr = VecRestoreArray(xx,&xg); CHKERRQ(ierr);
1000   ierr = VecRestoreArray(zz,&zg); CHKERRQ(ierr);
1001   PLogFlops(2*a->nz*a->bs2);
1002   PetscFunctionReturn(0);
1003 }
1004 
1005 #undef __FUNC__
1006 #define __FUNC__ "MatScale_SeqBAIJ"
1007 int MatScale_SeqBAIJ(Scalar *alpha,Mat inA)
1008 {
1009   Mat_SeqBAIJ *a = (Mat_SeqBAIJ *) inA->data;
1010   int         one = 1, totalnz = a->bs2*a->nz;
1011 
1012   PetscFunctionBegin;
1013   BLscal_( &totalnz, alpha, a->a, &one );
1014   PLogFlops(totalnz);
1015   PetscFunctionReturn(0);
1016 }
1017 
1018 #undef __FUNC__
1019 #define __FUNC__ "MatNorm_SeqBAIJ"
1020 int MatNorm_SeqBAIJ(Mat A,NormType type,double *norm)
1021 {
1022   Mat_SeqBAIJ *a = (Mat_SeqBAIJ *) A->data;
1023   Scalar      *v = a->a;
1024   double      sum = 0.0;
1025   int         i,nz=a->nz,bs2=a->bs2;
1026 
1027   PetscFunctionBegin;
1028   if (type == NORM_FROBENIUS) {
1029     for (i=0; i< bs2*nz; i++ ) {
1030 #if defined(USE_PETSC_COMPLEX)
1031       sum += real(conj(*v)*(*v)); v++;
1032 #else
1033       sum += (*v)*(*v); v++;
1034 #endif
1035     }
1036     *norm = sqrt(sum);
1037   }
1038   else {
1039     SETERRQ(PETSC_ERR_SUP,0,"No support for this norm yet");
1040   }
1041   PetscFunctionReturn(0);
1042 }
1043 
1044 
1045 #undef __FUNC__
1046 #define __FUNC__ "MatEqual_SeqBAIJ"
1047 int MatEqual_SeqBAIJ(Mat A,Mat B, PetscTruth* flg)
1048 {
1049   Mat_SeqBAIJ *a = (Mat_SeqBAIJ *)A->data, *b = (Mat_SeqBAIJ *)B->data;
1050 
1051   PetscFunctionBegin;
1052   if (B->type !=MATSEQBAIJ) SETERRQ(PETSC_ERR_ARG_INCOMP,0,"Matrices must be same type");
1053 
1054   /* If the  matrix/block dimensions are not equal, or no of nonzeros or shift */
1055   if ((a->m != b->m) || (a->n !=b->n) || (a->bs != b->bs)|| (a->nz != b->nz)) {
1056     *flg = PETSC_FALSE; PetscFunctionReturn(0);
1057   }
1058 
1059   /* if the a->i are the same */
1060   if (PetscMemcmp(a->i,b->i, (a->mbs+1)*sizeof(int))) {
1061     *flg = PETSC_FALSE; PetscFunctionReturn(0);
1062   }
1063 
1064   /* if a->j are the same */
1065   if (PetscMemcmp(a->j,b->j,(a->nz)*sizeof(int))) {
1066     *flg = PETSC_FALSE; PetscFunctionReturn(0);
1067   }
1068 
1069   /* if a->a are the same */
1070   if (PetscMemcmp(a->a, b->a,(a->nz)*(a->bs)*(a->bs)*sizeof(Scalar))) {
1071     *flg = PETSC_FALSE; PetscFunctionReturn(0);
1072   }
1073   *flg = PETSC_TRUE;
1074   PetscFunctionReturn(0);
1075 
1076 }
1077 
1078 #undef __FUNC__
1079 #define __FUNC__ "MatGetDiagonal_SeqBAIJ"
1080 int MatGetDiagonal_SeqBAIJ(Mat A,Vec v)
1081 {
1082   Mat_SeqBAIJ *a = (Mat_SeqBAIJ *) A->data;
1083   int         ierr,i,j,k,n,row,bs,*ai,*aj,ambs,bs2;
1084   Scalar      *x, zero = 0.0,*aa,*aa_j;
1085 
1086   PetscFunctionBegin;
1087   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,0,"Not for factored matrix");
1088   bs   = a->bs;
1089   aa   = a->a;
1090   ai   = a->i;
1091   aj   = a->j;
1092   ambs = a->mbs;
1093   bs2  = a->bs2;
1094 
1095   ierr = VecSet(&zero,v);CHKERRQ(ierr);
1096   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
1097   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
1098   if (n != a->m) SETERRQ(PETSC_ERR_ARG_SIZ,0,"Nonconforming matrix and vector");
1099   for ( i=0; i<ambs; i++ ) {
1100     for ( j=ai[i]; j<ai[i+1]; j++ ) {
1101       if (aj[j] == i) {
1102         row  = i*bs;
1103         aa_j = aa+j*bs2;
1104         for (k=0; k<bs2; k+=(bs+1),row++) x[row] = aa_j[k];
1105         break;
1106       }
1107     }
1108   }
1109   PetscFunctionReturn(0);
1110 }
1111 
1112 #undef __FUNC__
1113 #define __FUNC__ "MatDiagonalScale_SeqBAIJ"
1114 int MatDiagonalScale_SeqBAIJ(Mat A,Vec ll,Vec rr)
1115 {
1116   Mat_SeqBAIJ *a = (Mat_SeqBAIJ *) A->data;
1117   Scalar      *l,*r,x,*v,*aa,*li,*ri;
1118   int         ierr,i,j,k,lm,rn,M,m,n,*ai,*aj,mbs,tmp,bs,bs2;
1119 
1120   PetscFunctionBegin;
1121   ai  = a->i;
1122   aj  = a->j;
1123   aa  = a->a;
1124   m   = a->m;
1125   n   = a->n;
1126   bs  = a->bs;
1127   mbs = a->mbs;
1128   bs2 = a->bs2;
1129   if (ll) {
1130     ierr = VecGetArray(ll,&l); CHKERRQ(ierr);
1131     ierr = VecGetLocalSize(ll,&lm);CHKERRQ(ierr);
1132     if (lm != m) SETERRQ(PETSC_ERR_ARG_SIZ,0,"Left scaling vector wrong length");
1133     for ( i=0; i<mbs; i++ ) { /* for each block row */
1134       M  = ai[i+1] - ai[i];
1135       li = l + i*bs;
1136       v  = aa + bs2*ai[i];
1137       for ( j=0; j<M; j++ ) { /* for each block */
1138         for ( k=0; k<bs2; k++ ) {
1139           (*v++) *= li[k%bs];
1140         }
1141       }
1142     }
1143   }
1144 
1145   if (rr) {
1146     ierr = VecGetArray(rr,&r); CHKERRQ(ierr);
1147     ierr = VecGetLocalSize(rr,&rn);CHKERRQ(ierr);
1148     if (rn != n) SETERRQ(PETSC_ERR_ARG_SIZ,0,"Right scaling vector wrong length");
1149     for ( i=0; i<mbs; i++ ) { /* for each block row */
1150       M  = ai[i+1] - ai[i];
1151       v  = aa + bs2*ai[i];
1152       for ( j=0; j<M; j++ ) { /* for each block */
1153         ri = r + bs*aj[ai[i]+j];
1154         for ( k=0; k<bs; k++ ) {
1155           x = ri[k];
1156           for ( tmp=0; tmp<bs; tmp++ ) (*v++) *= x;
1157         }
1158       }
1159     }
1160   }
1161   PetscFunctionReturn(0);
1162 }
1163 
1164 
1165 #undef __FUNC__
1166 #define __FUNC__ "MatGetInfo_SeqBAIJ"
1167 int MatGetInfo_SeqBAIJ(Mat A,MatInfoType flag,MatInfo *info)
1168 {
1169   Mat_SeqBAIJ *a = (Mat_SeqBAIJ *) A->data;
1170 
1171   PetscFunctionBegin;
1172   info->rows_global    = (double)a->m;
1173   info->columns_global = (double)a->n;
1174   info->rows_local     = (double)a->m;
1175   info->columns_local  = (double)a->n;
1176   info->block_size     = a->bs2;
1177   info->nz_allocated   = a->maxnz;
1178   info->nz_used        = a->bs2*a->nz;
1179   info->nz_unneeded    = (double)(info->nz_allocated - info->nz_used);
1180   /*  if (info->nz_unneeded != A->info.nz_unneeded)
1181     printf("space descrepancy: maxnz-nz = %d, nz_unneeded = %d\n",(int)info->nz_unneeded,(int)A->info.nz_unneeded); */
1182   info->assemblies   = A->num_ass;
1183   info->mallocs      = a->reallocs;
1184   info->memory       = A->mem;
1185   if (A->factor) {
1186     info->fill_ratio_given  = A->info.fill_ratio_given;
1187     info->fill_ratio_needed = A->info.fill_ratio_needed;
1188     info->factor_mallocs    = A->info.factor_mallocs;
1189   } else {
1190     info->fill_ratio_given  = 0;
1191     info->fill_ratio_needed = 0;
1192     info->factor_mallocs    = 0;
1193   }
1194   PetscFunctionReturn(0);
1195 }
1196 
1197 
1198 #undef __FUNC__
1199 #define __FUNC__ "MatZeroEntries_SeqBAIJ"
1200 int MatZeroEntries_SeqBAIJ(Mat A)
1201 {
1202   Mat_SeqBAIJ *a = (Mat_SeqBAIJ *) A->data;
1203 
1204   PetscFunctionBegin;
1205   PetscMemzero(a->a,a->bs2*a->i[a->mbs]*sizeof(Scalar));
1206   PetscFunctionReturn(0);
1207 }
1208