xref: /petsc/src/mat/impls/baij/seq/baij.c (revision 040ebd07df7f48cdffac40673e8597e52ed39091)
1 
2 /*
3     Defines the basic matrix operations for the BAIJ (compressed row)
4   matrix storage format.
5 */
6 #include <../src/mat/impls/baij/seq/baij.h>  /*I   "petscmat.h"  I*/
7 #include <petscblaslapack.h>
8 #include <petsc-private/kernels/blockinvert.h>
9 #include <petsc-private/kernels/blockmatmult.h>
10 
11 #undef __FUNCT__
12 #define __FUNCT__ "MatInvertBlockDiagonal_SeqBAIJ"
13 PetscErrorCode  MatInvertBlockDiagonal_SeqBAIJ(Mat A,const PetscScalar **values)
14 {
15   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*) A->data;
16   PetscErrorCode ierr;
17   PetscInt       *diag_offset,i,bs = A->rmap->bs,mbs = a->mbs,ipvt[5],bs2 = bs*bs,*v_pivots;
18   MatScalar      *v    = a->a,*odiag,*diag,*mdiag,work[25],*v_work;
19   PetscReal      shift = 0.0;
20 
21   PetscFunctionBegin;
22   if (a->idiagvalid) {
23     if (values) *values = a->idiag;
24     PetscFunctionReturn(0);
25   }
26   ierr        = MatMarkDiagonal_SeqBAIJ(A);CHKERRQ(ierr);
27   diag_offset = a->diag;
28   if (!a->idiag) {
29     ierr = PetscMalloc(2*bs2*mbs*sizeof(PetscScalar),&a->idiag);CHKERRQ(ierr);
30     ierr = PetscLogObjectMemory((PetscObject)A,2*bs2*mbs*sizeof(PetscScalar));CHKERRQ(ierr);
31   }
32   diag  = a->idiag;
33   mdiag = a->idiag+bs2*mbs;
34   if (values) *values = a->idiag;
35   /* factor and invert each block */
36   switch (bs) {
37   case 1:
38     for (i=0; i<mbs; i++) {
39       odiag    = v + 1*diag_offset[i];
40       diag[0]  = odiag[0];
41       mdiag[0] = odiag[0];
42       diag[0]  = (PetscScalar)1.0 / (diag[0] + shift);
43       diag    += 1;
44       mdiag   += 1;
45     }
46     break;
47   case 2:
48     for (i=0; i<mbs; i++) {
49       odiag    = v + 4*diag_offset[i];
50       diag[0]  = odiag[0]; diag[1] = odiag[1]; diag[2] = odiag[2]; diag[3] = odiag[3];
51       mdiag[0] = odiag[0]; mdiag[1] = odiag[1]; mdiag[2] = odiag[2]; mdiag[3] = odiag[3];
52       ierr     = PetscKernel_A_gets_inverse_A_2(diag,shift);CHKERRQ(ierr);
53       diag    += 4;
54       mdiag   += 4;
55     }
56     break;
57   case 3:
58     for (i=0; i<mbs; i++) {
59       odiag    = v + 9*diag_offset[i];
60       diag[0]  = odiag[0]; diag[1] = odiag[1]; diag[2] = odiag[2]; diag[3] = odiag[3];
61       diag[4]  = odiag[4]; diag[5] = odiag[5]; diag[6] = odiag[6]; diag[7] = odiag[7];
62       diag[8]  = odiag[8];
63       mdiag[0] = odiag[0]; mdiag[1] = odiag[1]; mdiag[2] = odiag[2]; mdiag[3] = odiag[3];
64       mdiag[4] = odiag[4]; mdiag[5] = odiag[5]; mdiag[6] = odiag[6]; mdiag[7] = odiag[7];
65       mdiag[8] = odiag[8];
66       ierr     = PetscKernel_A_gets_inverse_A_3(diag,shift);CHKERRQ(ierr);
67       diag    += 9;
68       mdiag   += 9;
69     }
70     break;
71   case 4:
72     for (i=0; i<mbs; i++) {
73       odiag  = v + 16*diag_offset[i];
74       ierr   = PetscMemcpy(diag,odiag,16*sizeof(PetscScalar));CHKERRQ(ierr);
75       ierr   = PetscMemcpy(mdiag,odiag,16*sizeof(PetscScalar));CHKERRQ(ierr);
76       ierr   = PetscKernel_A_gets_inverse_A_4(diag,shift);CHKERRQ(ierr);
77       diag  += 16;
78       mdiag += 16;
79     }
80     break;
81   case 5:
82     for (i=0; i<mbs; i++) {
83       odiag  = v + 25*diag_offset[i];
84       ierr   = PetscMemcpy(diag,odiag,25*sizeof(PetscScalar));CHKERRQ(ierr);
85       ierr   = PetscMemcpy(mdiag,odiag,25*sizeof(PetscScalar));CHKERRQ(ierr);
86       ierr   = PetscKernel_A_gets_inverse_A_5(diag,ipvt,work,shift);CHKERRQ(ierr);
87       diag  += 25;
88       mdiag += 25;
89     }
90     break;
91   case 6:
92     for (i=0; i<mbs; i++) {
93       odiag  = v + 36*diag_offset[i];
94       ierr   = PetscMemcpy(diag,odiag,36*sizeof(PetscScalar));CHKERRQ(ierr);
95       ierr   = PetscMemcpy(mdiag,odiag,36*sizeof(PetscScalar));CHKERRQ(ierr);
96       ierr   = PetscKernel_A_gets_inverse_A_6(diag,shift);CHKERRQ(ierr);
97       diag  += 36;
98       mdiag += 36;
99     }
100     break;
101   case 7:
102     for (i=0; i<mbs; i++) {
103       odiag  = v + 49*diag_offset[i];
104       ierr   = PetscMemcpy(diag,odiag,49*sizeof(PetscScalar));CHKERRQ(ierr);
105       ierr   = PetscMemcpy(mdiag,odiag,49*sizeof(PetscScalar));CHKERRQ(ierr);
106       ierr   = PetscKernel_A_gets_inverse_A_7(diag,shift);CHKERRQ(ierr);
107       diag  += 49;
108       mdiag += 49;
109     }
110     break;
111   default:
112     ierr = PetscMalloc2(bs,MatScalar,&v_work,bs,PetscInt,&v_pivots);CHKERRQ(ierr);
113     for (i=0; i<mbs; i++) {
114       odiag  = v + bs2*diag_offset[i];
115       ierr   = PetscMemcpy(diag,odiag,bs2*sizeof(PetscScalar));CHKERRQ(ierr);
116       ierr   = PetscMemcpy(mdiag,odiag,bs2*sizeof(PetscScalar));CHKERRQ(ierr);
117       ierr   = PetscKernel_A_gets_inverse_A(bs,diag,v_pivots,v_work);CHKERRQ(ierr);
118       diag  += bs2;
119       mdiag += bs2;
120     }
121     ierr = PetscFree2(v_work,v_pivots);CHKERRQ(ierr);
122   }
123   a->idiagvalid = PETSC_TRUE;
124   PetscFunctionReturn(0);
125 }
126 
127 #undef __FUNCT__
128 #define __FUNCT__ "MatSOR_SeqBAIJ"
129 PetscErrorCode MatSOR_SeqBAIJ(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
130 {
131   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
132   PetscScalar       *x,*work,*w,*workt,*t;
133   const MatScalar   *v,*aa = a->a, *idiag;
134   const PetscScalar *b,*xb;
135   PetscScalar       s[7], xw[7]={0}; /* avoid some compilers thinking xw is uninitialized */
136   PetscErrorCode    ierr;
137   PetscInt          m = a->mbs,i,i2,nz,bs = A->rmap->bs,bs2 = bs*bs,k,j,idx,it;
138   const PetscInt    *diag,*ai = a->i,*aj = a->j,*vi;
139 
140   PetscFunctionBegin;
141   its = its*lits;
142   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support yet for Eisenstat");
143   if (its <= 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
144   if (fshift) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
145   if (omega != 1.0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
146   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
147 
148   if (!a->idiagvalid) {ierr = MatInvertBlockDiagonal(A,NULL);CHKERRQ(ierr);}
149 
150   if (!m) PetscFunctionReturn(0);
151   diag  = a->diag;
152   idiag = a->idiag;
153   k    = PetscMax(A->rmap->n,A->cmap->n);
154   if (!a->mult_work) {
155     ierr = PetscMalloc((2*k+1)*sizeof(PetscScalar),&a->mult_work);CHKERRQ(ierr);
156   }
157   work = a->mult_work;
158   t = work + k+1;
159   if (!a->sor_work) {
160     ierr = PetscMalloc(bs*sizeof(PetscScalar),&a->sor_work);CHKERRQ(ierr);
161   }
162   w = a->sor_work;
163 
164   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
165   ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
166 
167   if (flag & SOR_ZERO_INITIAL_GUESS) {
168     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
169       switch (bs) {
170       case 1:
171         PetscKernel_v_gets_A_times_w_1(x,idiag,b);
172         t[0] = b[0];
173         i2     = 1;
174         idiag += 1;
175         for (i=1; i<m; i++) {
176           v  = aa + ai[i];
177           vi = aj + ai[i];
178           nz = diag[i] - ai[i];
179           s[0] = b[i2];
180           for (j=0; j<nz; j++) {
181             xw[0] = x[vi[j]];
182             PetscKernel_v_gets_v_minus_A_times_w_1(s,(v+j),xw);
183           }
184           t[i2] = s[0];
185           PetscKernel_v_gets_A_times_w_1(xw,idiag,s);
186           x[i2]  = xw[0];
187           idiag += 1;
188           i2    += 1;
189         }
190         break;
191       case 2:
192         PetscKernel_v_gets_A_times_w_2(x,idiag,b);
193         t[0] = b[0]; t[1] = b[1];
194         i2     = 2;
195         idiag += 4;
196         for (i=1; i<m; i++) {
197           v  = aa + 4*ai[i];
198           vi = aj + ai[i];
199           nz = diag[i] - ai[i];
200           s[0] = b[i2]; s[1] = b[i2+1];
201           for (j=0; j<nz; j++) {
202             idx = 2*vi[j];
203             it  = 4*j;
204             xw[0] = x[idx]; xw[1] = x[1+idx];
205             PetscKernel_v_gets_v_minus_A_times_w_2(s,(v+it),xw);
206           }
207           t[i2] = s[0]; t[i2+1] = s[1];
208           PetscKernel_v_gets_A_times_w_2(xw,idiag,s);
209           x[i2]   = xw[0]; x[i2+1] = xw[1];
210           idiag  += 4;
211           i2     += 2;
212         }
213         break;
214       case 3:
215         PetscKernel_v_gets_A_times_w_3(x,idiag,b);
216         t[0] = b[0]; t[1] = b[1]; t[2] = b[2];
217         i2     = 3;
218         idiag += 9;
219         for (i=1; i<m; i++) {
220           v  = aa + 9*ai[i];
221           vi = aj + ai[i];
222           nz = diag[i] - ai[i];
223           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2];
224           while (nz--) {
225             idx = 3*(*vi++);
226             xw[0] = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx];
227             PetscKernel_v_gets_v_minus_A_times_w_3(s,v,xw);
228             v  += 9;
229           }
230           t[i2] = s[0]; t[i2+1] = s[1]; t[i2+2] = s[2];
231           PetscKernel_v_gets_A_times_w_3(xw,idiag,s);
232           x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2];
233           idiag  += 9;
234           i2     += 3;
235         }
236         break;
237       case 4:
238         PetscKernel_v_gets_A_times_w_4(x,idiag,b);
239         t[0] = b[0]; t[1] = b[1]; t[2] = b[2]; t[3] = b[3];
240         i2     = 4;
241         idiag += 16;
242         for (i=1; i<m; i++) {
243           v  = aa + 16*ai[i];
244           vi = aj + ai[i];
245           nz = diag[i] - ai[i];
246           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3];
247           while (nz--) {
248             idx = 4*(*vi++);
249             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx];
250             PetscKernel_v_gets_v_minus_A_times_w_4(s,v,xw);
251             v  += 16;
252           }
253           t[i2] = s[0]; t[i2+1] = s[1]; t[i2+2] = s[2]; t[i2 + 3] = s[3];
254           PetscKernel_v_gets_A_times_w_4(xw,idiag,s);
255           x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3];
256           idiag  += 16;
257           i2     += 4;
258         }
259         break;
260       case 5:
261         PetscKernel_v_gets_A_times_w_5(x,idiag,b);
262         t[0] = b[0]; t[1] = b[1]; t[2] = b[2]; t[3] = b[3]; t[4] = b[4];
263         i2     = 5;
264         idiag += 25;
265         for (i=1; i<m; i++) {
266           v  = aa + 25*ai[i];
267           vi = aj + ai[i];
268           nz = diag[i] - ai[i];
269           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3]; s[4] = b[i2+4];
270           while (nz--) {
271             idx = 5*(*vi++);
272             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx]; xw[4] = x[4+idx];
273             PetscKernel_v_gets_v_minus_A_times_w_5(s,v,xw);
274             v  += 25;
275           }
276           t[i2] = s[0]; t[i2+1] = s[1]; t[i2+2] = s[2]; t[i2+3] = s[3]; t[i2+4] = s[4];
277           PetscKernel_v_gets_A_times_w_5(xw,idiag,s);
278           x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3]; x[i2+4] = xw[4];
279           idiag  += 25;
280           i2     += 5;
281         }
282         break;
283       case 6:
284         PetscKernel_v_gets_A_times_w_6(x,idiag,b);
285         t[0] = b[0]; t[1] = b[1]; t[2] = b[2]; t[3] = b[3]; t[4] = b[4]; t[5] = b[5];
286         i2     = 6;
287         idiag += 36;
288         for (i=1; i<m; i++) {
289           v  = aa + 36*ai[i];
290           vi = aj + ai[i];
291           nz = diag[i] - ai[i];
292           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3]; s[4] = b[i2+4]; s[5] = b[i2+5];
293           while (nz--) {
294             idx = 6*(*vi++);
295             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
296             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx];
297             PetscKernel_v_gets_v_minus_A_times_w_6(s,v,xw);
298             v  += 36;
299           }
300           t[i2]   = s[0]; t[i2+1] = s[1]; t[i2+2] = s[2];
301           t[i2+3] = s[3]; t[i2+4] = s[4]; t[i2+5] = s[5];
302           PetscKernel_v_gets_A_times_w_6(xw,idiag,s);
303           x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3]; x[i2+4] = xw[4]; x[i2+5] = xw[5];
304           idiag  += 36;
305           i2     += 6;
306         }
307         break;
308       case 7:
309         PetscKernel_v_gets_A_times_w_7(x,idiag,b);
310         t[0] = b[0]; t[1] = b[1]; t[2] = b[2];
311         t[3] = b[3]; t[4] = b[4]; t[5] = b[5]; t[6] = b[6];
312         i2     = 7;
313         idiag += 49;
314         for (i=1; i<m; i++) {
315           v  = aa + 49*ai[i];
316           vi = aj + ai[i];
317           nz = diag[i] - ai[i];
318           s[0] = b[i2];   s[1] = b[i2+1]; s[2] = b[i2+2];
319           s[3] = b[i2+3]; s[4] = b[i2+4]; s[5] = b[i2+5]; s[6] = b[i2+6];
320           while (nz--) {
321             idx = 7*(*vi++);
322             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
323             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx]; xw[6] = x[6+idx];
324             PetscKernel_v_gets_v_minus_A_times_w_7(s,v,xw);
325             v  += 49;
326           }
327           t[i2]   = s[0]; t[i2+1] = s[1]; t[i2+2] = s[2];
328           t[i2+3] = s[3]; t[i2+4] = s[4]; t[i2+5] = s[5]; t[i2+6] = s[6];
329           PetscKernel_v_gets_A_times_w_7(xw,idiag,s);
330           x[i2] =   xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2];
331           x[i2+3] = xw[3]; x[i2+4] = xw[4]; x[i2+5] = xw[5]; x[i2+6] = xw[6];
332           idiag  += 49;
333           i2     += 7;
334         }
335         break;
336       default:
337         PetscKernel_w_gets_Ar_times_v(bs,bs,b,idiag,x);
338         ierr = PetscMemcpy(t,b,bs*sizeof(PetscScalar));CHKERRQ(ierr);
339         i2     = bs;
340         idiag += bs2;
341         for (i=1; i<m; i++) {
342           v  = aa + bs2*ai[i];
343           vi = aj + ai[i];
344           nz = diag[i] - ai[i];
345 
346           ierr = PetscMemcpy(w,b+i2,bs*sizeof(PetscScalar));CHKERRQ(ierr);
347           /* copy all rows of x that are needed into contiguous space */
348           workt = work;
349           for (j=0; j<nz; j++) {
350             ierr   = PetscMemcpy(workt,x + bs*(*vi++),bs*sizeof(PetscScalar));CHKERRQ(ierr);
351             workt += bs;
352           }
353           PetscKernel_w_gets_w_minus_Ar_times_v(bs,bs*nz,w,v,work);
354           ierr = PetscMemcpy(t+i2,w,bs*sizeof(PetscScalar));CHKERRQ(ierr);
355           PetscKernel_w_gets_Ar_times_v(bs,bs,w,idiag,x+i2);
356 
357           idiag += bs2;
358           i2    += bs;
359         }
360         break;
361       }
362       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
363       ierr = PetscLogFlops(1.0*bs2*a->nz);CHKERRQ(ierr);
364       xb = t;
365     }
366     else xb = b;
367     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
368       idiag = a->idiag+bs2*(a->mbs-1);
369       i2 = bs * (m-1);
370       switch (bs) {
371       case 1:
372         s[0]  = xb[i2];
373         PetscKernel_v_gets_A_times_w_1(xw,idiag,s);
374         x[i2] = xw[0];
375         i2   -= 1;
376         for (i=m-2; i>=0; i--) {
377           v  = aa + (diag[i]+1);
378           vi = aj + diag[i] + 1;
379           nz = ai[i+1] - diag[i] - 1;
380           s[0] = xb[i2];
381           for (j=0; j<nz; j++) {
382             xw[0] = x[vi[j]];
383             PetscKernel_v_gets_v_minus_A_times_w_1(s,(v+j),xw);
384           }
385           PetscKernel_v_gets_A_times_w_1(xw,idiag,s);
386           x[i2]  = xw[0];
387           idiag -= 1;
388           i2    -= 1;
389         }
390         break;
391       case 2:
392         s[0]  = xb[i2]; s[1] = xb[i2+1];
393         PetscKernel_v_gets_A_times_w_2(xw,idiag,s);
394         x[i2] = xw[0]; x[i2+1] = xw[1];
395         i2    -= 2;
396         idiag -= 4;
397         for (i=m-2; i>=0; i--) {
398           v  = aa + 4*(diag[i] + 1);
399           vi = aj + diag[i] + 1;
400           nz = ai[i+1] - diag[i] - 1;
401           s[0] = xb[i2]; s[1] = xb[i2+1];
402           for (j=0; j<nz; j++) {
403             idx = 2*vi[j];
404             it  = 4*j;
405             xw[0] = x[idx]; xw[1] = x[1+idx];
406             PetscKernel_v_gets_v_minus_A_times_w_2(s,(v+it),xw);
407           }
408           PetscKernel_v_gets_A_times_w_2(xw,idiag,s);
409           x[i2]   = xw[0]; x[i2+1] = xw[1];
410           idiag  -= 4;
411           i2     -= 2;
412         }
413         break;
414       case 3:
415         s[0]  = xb[i2]; s[1] = xb[i2+1]; s[2] = xb[i2+2];
416         PetscKernel_v_gets_A_times_w_3(xw,idiag,s);
417         x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2];
418         i2    -= 3;
419         idiag -= 9;
420         for (i=m-2; i>=0; i--) {
421           v  = aa + 9*(diag[i]+1);
422           vi = aj + diag[i] + 1;
423           nz = ai[i+1] - diag[i] - 1;
424           s[0] = xb[i2]; s[1] = xb[i2+1]; s[2] = xb[i2+2];
425           while (nz--) {
426             idx = 3*(*vi++);
427             xw[0] = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx];
428             PetscKernel_v_gets_v_minus_A_times_w_3(s,v,xw);
429             v  += 9;
430           }
431           PetscKernel_v_gets_A_times_w_3(xw,idiag,s);
432           x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2];
433           idiag  -= 9;
434           i2     -= 3;
435         }
436         break;
437       case 4:
438         s[0]  = xb[i2]; s[1] = xb[i2+1]; s[2] = xb[i2+2]; s[3] = xb[i2+3];
439         PetscKernel_v_gets_A_times_w_4(xw,idiag,s);
440         x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3];
441         i2    -= 4;
442         idiag -= 16;
443         for (i=m-2; i>=0; i--) {
444           v  = aa + 16*(diag[i]+1);
445           vi = aj + diag[i] + 1;
446           nz = ai[i+1] - diag[i] - 1;
447           s[0] = xb[i2]; s[1] = xb[i2+1]; s[2] = xb[i2+2]; s[3] = xb[i2+3];
448           while (nz--) {
449             idx = 4*(*vi++);
450             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx];
451             PetscKernel_v_gets_v_minus_A_times_w_4(s,v,xw);
452             v  += 16;
453           }
454           PetscKernel_v_gets_A_times_w_4(xw,idiag,s);
455           x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3];
456           idiag  -= 16;
457           i2     -= 4;
458         }
459         break;
460       case 5:
461         s[0]  = xb[i2]; s[1] = xb[i2+1]; s[2] = xb[i2+2]; s[3] = xb[i2+3]; s[4] = xb[i2+4];
462         PetscKernel_v_gets_A_times_w_5(xw,idiag,s);
463         x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3]; x[i2+4] = xw[4];
464         i2    -= 5;
465         idiag -= 25;
466         for (i=m-2; i>=0; i--) {
467           v  = aa + 25*(diag[i]+1);
468           vi = aj + diag[i] + 1;
469           nz = ai[i+1] - diag[i] - 1;
470           s[0] = xb[i2]; s[1] = xb[i2+1]; s[2] = xb[i2+2]; s[3] = xb[i2+3]; s[4] = xb[i2+4];
471           while (nz--) {
472             idx = 5*(*vi++);
473             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx]; xw[4] = x[4+idx];
474             PetscKernel_v_gets_v_minus_A_times_w_5(s,v,xw);
475             v  += 25;
476           }
477           PetscKernel_v_gets_A_times_w_5(xw,idiag,s);
478           x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3]; x[i2+4] = xw[4];
479           idiag  -= 25;
480           i2     -= 5;
481         }
482         break;
483       case 6:
484         s[0]  = xb[i2]; s[1] = xb[i2+1]; s[2] = xb[i2+2]; s[3] = xb[i2+3]; s[4] = xb[i2+4]; s[5] = xb[i2+5];
485         PetscKernel_v_gets_A_times_w_6(xw,idiag,s);
486         x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3]; x[i2+4] = xw[4]; x[i2+5] = xw[5];
487         i2    -= 6;
488         idiag -= 36;
489         for (i=m-2; i>=0; i--) {
490           v  = aa + 36*(diag[i]+1);
491           vi = aj + diag[i] + 1;
492           nz = ai[i+1] - diag[i] - 1;
493           s[0] = xb[i2]; s[1] = xb[i2+1]; s[2] = xb[i2+2]; s[3] = xb[i2+3]; s[4] = xb[i2+4]; s[5] = xb[i2+5];
494           while (nz--) {
495             idx = 6*(*vi++);
496             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
497             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx];
498             PetscKernel_v_gets_v_minus_A_times_w_6(s,v,xw);
499             v  += 36;
500           }
501           PetscKernel_v_gets_A_times_w_6(xw,idiag,s);
502           x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3]; x[i2+4] = xw[4]; x[i2+5] = xw[5];
503           idiag  -= 36;
504           i2     -= 6;
505         }
506         break;
507       case 7:
508         s[0] = xb[i2];   s[1] = xb[i2+1]; s[2] = xb[i2+2];
509         s[3] = xb[i2+3]; s[4] = xb[i2+4]; s[5] = xb[i2+5]; s[6] = xb[i2+6];
510         PetscKernel_v_gets_A_times_w_7(x,idiag,b);
511         x[i2]   = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2];
512         x[i2+3] = xw[3]; x[i2+4] = xw[4]; x[i2+5] = xw[5]; x[i2+6] = xw[6];
513         i2    -= 7;
514         idiag -= 49;
515         for (i=m-2; i>=0; i--) {
516           v  = aa + 49*(diag[i]+1);
517           vi = aj + diag[i] + 1;
518           nz = ai[i+1] - diag[i] - 1;
519           s[0] = xb[i2];   s[1] = xb[i2+1]; s[2] = xb[i2+2];
520           s[3] = xb[i2+3]; s[4] = xb[i2+4]; s[5] = xb[i2+5]; s[6] = xb[i2+6];
521           while (nz--) {
522             idx = 7*(*vi++);
523             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
524             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx]; xw[6] = x[6+idx];
525             PetscKernel_v_gets_v_minus_A_times_w_7(s,v,xw);
526             v  += 49;
527           }
528           PetscKernel_v_gets_A_times_w_7(xw,idiag,s);
529           x[i2] =   xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2];
530           x[i2+3] = xw[3]; x[i2+4] = xw[4]; x[i2+5] = xw[5]; x[i2+6] = xw[6];
531           idiag  -= 49;
532           i2     -= 7;
533         }
534         break;
535       default:
536         ierr  = PetscMemcpy(w,xb+i2,bs*sizeof(PetscScalar));CHKERRQ(ierr);
537         PetscKernel_w_gets_Ar_times_v(bs,bs,w,idiag,x+i2);
538         i2    -= bs;
539         idiag -= bs2;
540         for (i=m-2; i>=0; i--) {
541           v  = aa + bs2*(diag[i]+1);
542           vi = aj + diag[i] + 1;
543           nz = ai[i+1] - diag[i] - 1;
544 
545           ierr = PetscMemcpy(w,xb+i2,bs*sizeof(PetscScalar));CHKERRQ(ierr);
546           /* copy all rows of x that are needed into contiguous space */
547           workt = work;
548           for (j=0; j<nz; j++) {
549             ierr   = PetscMemcpy(workt,x + bs*(*vi++),bs*sizeof(PetscScalar));CHKERRQ(ierr);
550             workt += bs;
551           }
552           PetscKernel_w_gets_w_minus_Ar_times_v(bs,bs*nz,w,v,work);
553           PetscKernel_w_gets_Ar_times_v(bs,bs,w,idiag,x+i2);
554 
555           idiag -= bs2;
556           i2    -= bs;
557         }
558         break;
559       }
560       ierr = PetscLogFlops(1.0*bs2*(a->nz));CHKERRQ(ierr);
561     }
562     its--;
563   }
564   while (its--) {
565     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
566       idiag = a->idiag;
567       i2 = 0;
568       switch (bs) {
569       case 1:
570         for (i=0; i<m; i++) {
571           v  = aa + ai[i];
572           vi = aj + ai[i];
573           nz = ai[i+1] - ai[i];
574           s[0] = b[i2];
575           for (j=0; j<nz; j++) {
576             xw[0] = x[vi[j]];
577             PetscKernel_v_gets_v_minus_A_times_w_1(s,(v+j),xw);
578           }
579           PetscKernel_v_gets_A_times_w_1(xw,idiag,s);
580           x[i2] += xw[0];
581           idiag += 1;
582           i2    += 1;
583         }
584         break;
585       case 2:
586         for (i=0; i<m; i++) {
587           v  = aa + 4*ai[i];
588           vi = aj + ai[i];
589           nz = ai[i+1] - ai[i];
590           s[0] = b[i2]; s[1] = b[i2+1];
591           for (j=0; j<nz; j++) {
592             idx = 2*vi[j];
593             it  = 4*j;
594             xw[0] = x[idx]; xw[1] = x[1+idx];
595             PetscKernel_v_gets_v_minus_A_times_w_2(s,(v+it),xw);
596           }
597           PetscKernel_v_gets_A_times_w_2(xw,idiag,s);
598           x[i2]  += xw[0]; x[i2+1] += xw[1];
599           idiag  += 4;
600           i2     += 2;
601         }
602         break;
603       case 3:
604         for (i=0; i<m; i++) {
605           v  = aa + 9*ai[i];
606           vi = aj + ai[i];
607           nz = ai[i+1] - ai[i];
608           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2];
609           while (nz--) {
610             idx = 3*(*vi++);
611             xw[0] = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx];
612             PetscKernel_v_gets_v_minus_A_times_w_3(s,v,xw);
613             v  += 9;
614           }
615           PetscKernel_v_gets_A_times_w_3(xw,idiag,s);
616           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2];
617           idiag  += 9;
618           i2     += 3;
619         }
620         break;
621       case 4:
622         for (i=0; i<m; i++) {
623           v  = aa + 16*ai[i];
624           vi = aj + ai[i];
625           nz = ai[i+1] - ai[i];
626           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3];
627           while (nz--) {
628             idx = 4*(*vi++);
629             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx];
630             PetscKernel_v_gets_v_minus_A_times_w_4(s,v,xw);
631             v  += 16;
632           }
633           PetscKernel_v_gets_A_times_w_4(xw,idiag,s);
634           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2]; x[i2+3] += xw[3];
635           idiag  += 16;
636           i2     += 4;
637         }
638         break;
639       case 5:
640         for (i=0; i<m; i++) {
641           v  = aa + 25*ai[i];
642           vi = aj + ai[i];
643           nz = ai[i+1] - ai[i];
644           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3]; s[4] = b[i2+4];
645           while (nz--) {
646             idx = 5*(*vi++);
647             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx]; xw[4] = x[4+idx];
648             PetscKernel_v_gets_v_minus_A_times_w_5(s,v,xw);
649             v  += 25;
650           }
651           PetscKernel_v_gets_A_times_w_5(xw,idiag,s);
652           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2]; x[i2+3] += xw[3]; x[i2+4] += xw[4];
653           idiag  += 25;
654           i2     += 5;
655         }
656         break;
657       case 6:
658         for (i=0; i<m; i++) {
659           v  = aa + 36*ai[i];
660           vi = aj + ai[i];
661           nz = ai[i+1] - ai[i];
662           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3]; s[4] = b[i2+4]; s[5] = b[i2+5];
663           while (nz--) {
664             idx = 6*(*vi++);
665             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
666             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx];
667             PetscKernel_v_gets_v_minus_A_times_w_6(s,v,xw);
668             v  += 36;
669           }
670           PetscKernel_v_gets_A_times_w_6(xw,idiag,s);
671           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2];
672           x[i2+3] += xw[3]; x[i2+4] += xw[4]; x[i2+5] += xw[5];
673           idiag  += 36;
674           i2     += 6;
675         }
676         break;
677       case 7:
678         for (i=0; i<m; i++) {
679           v  = aa + 49*ai[i];
680           vi = aj + ai[i];
681           nz = ai[i+1] - ai[i];
682           s[0] = b[i2];   s[1] = b[i2+1]; s[2] = b[i2+2];
683           s[3] = b[i2+3]; s[4] = b[i2+4]; s[5] = b[i2+5]; s[6] = b[i2+6];
684           while (nz--) {
685             idx = 7*(*vi++);
686             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
687             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx]; xw[6] = x[6+idx];
688             PetscKernel_v_gets_v_minus_A_times_w_7(s,v,xw);
689             v  += 49;
690           }
691           PetscKernel_v_gets_A_times_w_7(xw,idiag,s);
692           x[i2]   += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2];
693           x[i2+3] += xw[3]; x[i2+4] += xw[4]; x[i2+5] += xw[5]; x[i2+6] += xw[6];
694           idiag  += 49;
695           i2     += 7;
696         }
697         break;
698       default:
699         for (i=0; i<m; i++) {
700           v  = aa + bs2*ai[i];
701           vi = aj + ai[i];
702           nz = ai[i+1] - ai[i];
703 
704           ierr = PetscMemcpy(w,b+i2,bs*sizeof(PetscScalar));CHKERRQ(ierr);
705           /* copy all rows of x that are needed into contiguous space */
706           workt = work;
707           for (j=0; j<nz; j++) {
708             ierr   = PetscMemcpy(workt,x + bs*(*vi++),bs*sizeof(PetscScalar));CHKERRQ(ierr);
709             workt += bs;
710           }
711           PetscKernel_w_gets_w_minus_Ar_times_v(bs,bs*nz,w,v,work);
712           PetscKernel_w_gets_w_plus_Ar_times_v(bs,bs,w,idiag,x+i2);
713 
714           idiag += bs2;
715           i2    += bs;
716         }
717         break;
718       }
719       ierr = PetscLogFlops(2.0*bs2*a->nz);CHKERRQ(ierr);
720     }
721     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
722       idiag = a->idiag+bs2*(a->mbs-1);
723       i2 = bs * (m-1);
724       switch (bs) {
725       case 1:
726         for (i=m-1; i>=0; i--) {
727           v  = aa + ai[i];
728           vi = aj + ai[i];
729           nz = ai[i+1] - ai[i];
730           s[0] = b[i2];
731           for (j=0; j<nz; j++) {
732             xw[0] = x[vi[j]];
733             PetscKernel_v_gets_v_minus_A_times_w_1(s,(v+j),xw);
734           }
735           PetscKernel_v_gets_A_times_w_1(xw,idiag,s);
736           x[i2] += xw[0];
737           idiag -= 1;
738           i2    -= 1;
739         }
740         break;
741       case 2:
742         for (i=m-1; i>=0; i--) {
743           v  = aa + 4*ai[i];
744           vi = aj + ai[i];
745           nz = ai[i+1] - ai[i];
746           s[0] = b[i2]; s[1] = b[i2+1];
747           for (j=0; j<nz; j++) {
748             idx = 2*vi[j];
749             it  = 4*j;
750             xw[0] = x[idx]; xw[1] = x[1+idx];
751             PetscKernel_v_gets_v_minus_A_times_w_2(s,(v+it),xw);
752           }
753           PetscKernel_v_gets_A_times_w_2(xw,idiag,s);
754           x[i2]  += xw[0]; x[i2+1] += xw[1];
755           idiag  -= 4;
756           i2     -= 2;
757         }
758         break;
759       case 3:
760         for (i=m-1; i>=0; i--) {
761           v  = aa + 9*ai[i];
762           vi = aj + ai[i];
763           nz = ai[i+1] - ai[i];
764           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2];
765           while (nz--) {
766             idx = 3*(*vi++);
767             xw[0] = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx];
768             PetscKernel_v_gets_v_minus_A_times_w_3(s,v,xw);
769             v  += 9;
770           }
771           PetscKernel_v_gets_A_times_w_3(xw,idiag,s);
772           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2];
773           idiag  -= 9;
774           i2     -= 3;
775         }
776         break;
777       case 4:
778         for (i=m-1; i>=0; i--) {
779           v  = aa + 16*ai[i];
780           vi = aj + ai[i];
781           nz = ai[i+1] - ai[i];
782           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3];
783           while (nz--) {
784             idx = 4*(*vi++);
785             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx];
786             PetscKernel_v_gets_v_minus_A_times_w_4(s,v,xw);
787             v  += 16;
788           }
789           PetscKernel_v_gets_A_times_w_4(xw,idiag,s);
790           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2]; x[i2+3] += xw[3];
791           idiag  -= 16;
792           i2     -= 4;
793         }
794         break;
795       case 5:
796         for (i=m-1; i>=0; i--) {
797           v  = aa + 25*ai[i];
798           vi = aj + ai[i];
799           nz = ai[i+1] - ai[i];
800           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3]; s[4] = b[i2+4];
801           while (nz--) {
802             idx = 5*(*vi++);
803             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx]; xw[4] = x[4+idx];
804             PetscKernel_v_gets_v_minus_A_times_w_5(s,v,xw);
805             v  += 25;
806           }
807           PetscKernel_v_gets_A_times_w_5(xw,idiag,s);
808           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2]; x[i2+3] += xw[3]; x[i2+4] += xw[4];
809           idiag  -= 25;
810           i2     -= 5;
811         }
812         break;
813       case 6:
814         for (i=m-1; i>=0; i--) {
815           v  = aa + 36*ai[i];
816           vi = aj + ai[i];
817           nz = ai[i+1] - ai[i];
818           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3]; s[4] = b[i2+4]; s[5] = b[i2+5];
819           while (nz--) {
820             idx = 6*(*vi++);
821             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
822             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx];
823             PetscKernel_v_gets_v_minus_A_times_w_6(s,v,xw);
824             v  += 36;
825           }
826           PetscKernel_v_gets_A_times_w_6(xw,idiag,s);
827           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2];
828           x[i2+3] += xw[3]; x[i2+4] += xw[4]; x[i2+5] += xw[5];
829           idiag  -= 36;
830           i2     -= 6;
831         }
832         break;
833       case 7:
834         for (i=m-1; i>=0; i--) {
835           v  = aa + 49*ai[i];
836           vi = aj + ai[i];
837           nz = ai[i+1] - ai[i];
838           s[0] = b[i2];   s[1] = b[i2+1]; s[2] = b[i2+2];
839           s[3] = b[i2+3]; s[4] = b[i2+4]; s[5] = b[i2+5]; s[6] = b[i2+6];
840           while (nz--) {
841             idx = 7*(*vi++);
842             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
843             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx]; xw[6] = x[6+idx];
844             PetscKernel_v_gets_v_minus_A_times_w_7(s,v,xw);
845             v  += 49;
846           }
847           PetscKernel_v_gets_A_times_w_7(xw,idiag,s);
848           x[i2] +=   xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2];
849           x[i2+3] += xw[3]; x[i2+4] += xw[4]; x[i2+5] += xw[5]; x[i2+6] += xw[6];
850           idiag  -= 49;
851           i2     -= 7;
852         }
853         break;
854       default:
855         for (i=m-1; i>=0; i--) {
856           v  = aa + bs2*ai[i];
857           vi = aj + ai[i];
858           nz = ai[i+1] - ai[i];
859 
860           ierr = PetscMemcpy(w,b+i2,bs*sizeof(PetscScalar));CHKERRQ(ierr);
861           /* copy all rows of x that are needed into contiguous space */
862           workt = work;
863           for (j=0; j<nz; j++) {
864             ierr   = PetscMemcpy(workt,x + bs*(*vi++),bs*sizeof(PetscScalar));CHKERRQ(ierr);
865             workt += bs;
866           }
867           PetscKernel_w_gets_w_minus_Ar_times_v(bs,bs*nz,w,v,work);
868           PetscKernel_w_gets_w_plus_Ar_times_v(bs,bs,w,idiag,x+i2);
869 
870           idiag -= bs2;
871           i2    -= bs;
872         }
873         break;
874       }
875       ierr = PetscLogFlops(2.0*bs2*(a->nz));CHKERRQ(ierr);
876     }
877   }
878   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
879   ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
880   PetscFunctionReturn(0);
881 }
882 
883 
884 /*
885     Special version for direct calls from Fortran (Used in PETSc-fun3d)
886 */
887 #if defined(PETSC_HAVE_FORTRAN_CAPS)
888 #define matsetvaluesblocked4_ MATSETVALUESBLOCKED4
889 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
890 #define matsetvaluesblocked4_ matsetvaluesblocked4
891 #endif
892 
893 #undef __FUNCT__
894 #define __FUNCT__ "matsetvaluesblocked4_"
895 PETSC_EXTERN void matsetvaluesblocked4_(Mat *AA,PetscInt *mm,const PetscInt im[],PetscInt *nn,const PetscInt in[],const PetscScalar v[])
896 {
897   Mat               A  = *AA;
898   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
899   PetscInt          *rp,k,low,high,t,ii,jj,row,nrow,i,col,l,N,m = *mm,n = *nn;
900   PetscInt          *ai    =a->i,*ailen=a->ilen;
901   PetscInt          *aj    =a->j,stepval,lastcol = -1;
902   const PetscScalar *value = v;
903   MatScalar         *ap,*aa = a->a,*bap;
904 
905   PetscFunctionBegin;
906   if (A->rmap->bs != 4) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONG,"Can only be called with a block size of 4");
907   stepval = (n-1)*4;
908   for (k=0; k<m; k++) { /* loop over added rows */
909     row  = im[k];
910     rp   = aj + ai[row];
911     ap   = aa + 16*ai[row];
912     nrow = ailen[row];
913     low  = 0;
914     high = nrow;
915     for (l=0; l<n; l++) { /* loop over added columns */
916       col = in[l];
917       if (col <= lastcol)  low = 0;
918       else                high = nrow;
919       lastcol = col;
920       value   = v + k*(stepval+4 + l)*4;
921       while (high-low > 7) {
922         t = (low+high)/2;
923         if (rp[t] > col) high = t;
924         else             low  = t;
925       }
926       for (i=low; i<high; i++) {
927         if (rp[i] > col) break;
928         if (rp[i] == col) {
929           bap = ap +  16*i;
930           for (ii=0; ii<4; ii++,value+=stepval) {
931             for (jj=ii; jj<16; jj+=4) {
932               bap[jj] += *value++;
933             }
934           }
935           goto noinsert2;
936         }
937       }
938       N = nrow++ - 1;
939       high++; /* added new column index thus must search to one higher than before */
940       /* shift up all the later entries in this row */
941       for (ii=N; ii>=i; ii--) {
942         rp[ii+1] = rp[ii];
943         PetscMemcpy(ap+16*(ii+1),ap+16*(ii),16*sizeof(MatScalar));
944       }
945       if (N >= i) {
946         PetscMemzero(ap+16*i,16*sizeof(MatScalar));
947       }
948       rp[i] = col;
949       bap   = ap +  16*i;
950       for (ii=0; ii<4; ii++,value+=stepval) {
951         for (jj=ii; jj<16; jj+=4) {
952           bap[jj] = *value++;
953         }
954       }
955       noinsert2:;
956       low = i;
957     }
958     ailen[row] = nrow;
959   }
960   PetscFunctionReturnVoid();
961 }
962 
963 #if defined(PETSC_HAVE_FORTRAN_CAPS)
964 #define matsetvalues4_ MATSETVALUES4
965 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
966 #define matsetvalues4_ matsetvalues4
967 #endif
968 
969 #undef __FUNCT__
970 #define __FUNCT__ "MatSetValues4_"
971 PETSC_EXTERN void matsetvalues4_(Mat *AA,PetscInt *mm,PetscInt *im,PetscInt *nn,PetscInt *in,PetscScalar *v)
972 {
973   Mat         A  = *AA;
974   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
975   PetscInt    *rp,k,low,high,t,ii,row,nrow,i,col,l,N,n = *nn,m = *mm;
976   PetscInt    *ai=a->i,*ailen=a->ilen;
977   PetscInt    *aj=a->j,brow,bcol;
978   PetscInt    ridx,cidx,lastcol = -1;
979   MatScalar   *ap,value,*aa=a->a,*bap;
980 
981   PetscFunctionBegin;
982   for (k=0; k<m; k++) { /* loop over added rows */
983     row  = im[k]; brow = row/4;
984     rp   = aj + ai[brow];
985     ap   = aa + 16*ai[brow];
986     nrow = ailen[brow];
987     low  = 0;
988     high = nrow;
989     for (l=0; l<n; l++) { /* loop over added columns */
990       col   = in[l]; bcol = col/4;
991       ridx  = row % 4; cidx = col % 4;
992       value = v[l + k*n];
993       if (col <= lastcol)  low = 0;
994       else                high = nrow;
995       lastcol = col;
996       while (high-low > 7) {
997         t = (low+high)/2;
998         if (rp[t] > bcol) high = t;
999         else              low  = t;
1000       }
1001       for (i=low; i<high; i++) {
1002         if (rp[i] > bcol) break;
1003         if (rp[i] == bcol) {
1004           bap   = ap +  16*i + 4*cidx + ridx;
1005           *bap += value;
1006           goto noinsert1;
1007         }
1008       }
1009       N = nrow++ - 1;
1010       high++; /* added new column thus must search to one higher than before */
1011       /* shift up all the later entries in this row */
1012       for (ii=N; ii>=i; ii--) {
1013         rp[ii+1] = rp[ii];
1014         PetscMemcpy(ap+16*(ii+1),ap+16*(ii),16*sizeof(MatScalar));
1015       }
1016       if (N>=i) {
1017         PetscMemzero(ap+16*i,16*sizeof(MatScalar));
1018       }
1019       rp[i]                    = bcol;
1020       ap[16*i + 4*cidx + ridx] = value;
1021 noinsert1:;
1022       low = i;
1023     }
1024     ailen[brow] = nrow;
1025   }
1026   PetscFunctionReturnVoid();
1027 }
1028 
1029 /*
1030      Checks for missing diagonals
1031 */
1032 #undef __FUNCT__
1033 #define __FUNCT__ "MatMissingDiagonal_SeqBAIJ"
1034 PetscErrorCode MatMissingDiagonal_SeqBAIJ(Mat A,PetscBool  *missing,PetscInt *d)
1035 {
1036   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1037   PetscErrorCode ierr;
1038   PetscInt       *diag,*jj = a->j,i;
1039 
1040   PetscFunctionBegin;
1041   ierr     = MatMarkDiagonal_SeqBAIJ(A);CHKERRQ(ierr);
1042   *missing = PETSC_FALSE;
1043   if (A->rmap->n > 0 && !jj) {
1044     *missing = PETSC_TRUE;
1045     if (d) *d = 0;
1046     PetscInfo(A,"Matrix has no entries therefore is missing diagonal");
1047   } else {
1048     diag = a->diag;
1049     for (i=0; i<a->mbs; i++) {
1050       if (jj[diag[i]] != i) {
1051         *missing = PETSC_TRUE;
1052         if (d) *d = i;
1053         PetscInfo1(A,"Matrix is missing block diagonal number %D",i);
1054         break;
1055       }
1056     }
1057   }
1058   PetscFunctionReturn(0);
1059 }
1060 
1061 #undef __FUNCT__
1062 #define __FUNCT__ "MatMarkDiagonal_SeqBAIJ"
1063 PetscErrorCode MatMarkDiagonal_SeqBAIJ(Mat A)
1064 {
1065   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1066   PetscErrorCode ierr;
1067   PetscInt       i,j,m = a->mbs;
1068 
1069   PetscFunctionBegin;
1070   if (!a->diag) {
1071     ierr         = PetscMalloc(m*sizeof(PetscInt),&a->diag);CHKERRQ(ierr);
1072     ierr         = PetscLogObjectMemory((PetscObject)A,m*sizeof(PetscInt));CHKERRQ(ierr);
1073     a->free_diag = PETSC_TRUE;
1074   }
1075   for (i=0; i<m; i++) {
1076     a->diag[i] = a->i[i+1];
1077     for (j=a->i[i]; j<a->i[i+1]; j++) {
1078       if (a->j[j] == i) {
1079         a->diag[i] = j;
1080         break;
1081       }
1082     }
1083   }
1084   PetscFunctionReturn(0);
1085 }
1086 
1087 
1088 #undef __FUNCT__
1089 #define __FUNCT__ "MatGetRowIJ_SeqBAIJ"
1090 static PetscErrorCode MatGetRowIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool blockcompressed,PetscInt *nn,const PetscInt *inia[],const PetscInt *inja[],PetscBool  *done)
1091 {
1092   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1093   PetscErrorCode ierr;
1094   PetscInt       i,j,n = a->mbs,nz = a->i[n],*tia,*tja,bs = A->rmap->bs,k,l,cnt;
1095   PetscInt       **ia = (PetscInt**)inia,**ja = (PetscInt**)inja;
1096 
1097   PetscFunctionBegin;
1098   *nn = n;
1099   if (!ia) PetscFunctionReturn(0);
1100   if (symmetric) {
1101     ierr = MatToSymmetricIJ_SeqAIJ(n,a->i,a->j,0,0,&tia,&tja);CHKERRQ(ierr);
1102     nz   = tia[n];
1103   } else {
1104     tia = a->i; tja = a->j;
1105   }
1106 
1107   if (!blockcompressed && bs > 1) {
1108     (*nn) *= bs;
1109     /* malloc & create the natural set of indices */
1110     ierr = PetscMalloc((n+1)*bs*sizeof(PetscInt),ia);CHKERRQ(ierr);
1111     if (n) {
1112       (*ia)[0] = 0;
1113       for (j=1; j<bs; j++) {
1114         (*ia)[j] = (tia[1]-tia[0])*bs+(*ia)[j-1];
1115       }
1116     }
1117 
1118     for (i=1; i<n; i++) {
1119       (*ia)[i*bs] = (tia[i]-tia[i-1])*bs + (*ia)[i*bs-1];
1120       for (j=1; j<bs; j++) {
1121         (*ia)[i*bs+j] = (tia[i+1]-tia[i])*bs + (*ia)[i*bs+j-1];
1122       }
1123     }
1124     if (n) {
1125       (*ia)[n*bs] = (tia[n]-tia[n-1])*bs + (*ia)[n*bs-1];
1126     }
1127 
1128     if (inja) {
1129       ierr = PetscMalloc(nz*bs*bs*sizeof(PetscInt),ja);CHKERRQ(ierr);
1130       cnt = 0;
1131       for (i=0; i<n; i++) {
1132         for (j=0; j<bs; j++) {
1133           for (k=tia[i]; k<tia[i+1]; k++) {
1134             for (l=0; l<bs; l++) {
1135               (*ja)[cnt++] = bs*tja[k] + l;
1136             }
1137           }
1138         }
1139       }
1140     }
1141 
1142     if (symmetric) { /* deallocate memory allocated in MatToSymmetricIJ_SeqAIJ() */
1143       ierr = PetscFree(tia);CHKERRQ(ierr);
1144       ierr = PetscFree(tja);CHKERRQ(ierr);
1145     }
1146   } else if (oshift == 1) {
1147     if (symmetric) {
1148       nz = tia[A->rmap->n/bs];
1149       /*  add 1 to i and j indices */
1150       for (i=0; i<A->rmap->n/bs+1; i++) tia[i] = tia[i] + 1;
1151       *ia = tia;
1152       if (ja) {
1153         for (i=0; i<nz; i++) tja[i] = tja[i] + 1;
1154         *ja = tja;
1155       }
1156     } else {
1157       nz = a->i[A->rmap->n/bs];
1158       /* malloc space and  add 1 to i and j indices */
1159       ierr = PetscMalloc((A->rmap->n/bs+1)*sizeof(PetscInt),ia);CHKERRQ(ierr);
1160       for (i=0; i<A->rmap->n/bs+1; i++) (*ia)[i] = a->i[i] + 1;
1161       if (ja) {
1162         ierr = PetscMalloc(nz*sizeof(PetscInt),ja);CHKERRQ(ierr);
1163         for (i=0; i<nz; i++) (*ja)[i] = a->j[i] + 1;
1164       }
1165     }
1166   } else {
1167     *ia = tia;
1168     if (ja) *ja = tja;
1169   }
1170   PetscFunctionReturn(0);
1171 }
1172 
1173 #undef __FUNCT__
1174 #define __FUNCT__ "MatRestoreRowIJ_SeqBAIJ"
1175 static PetscErrorCode MatRestoreRowIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool blockcompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
1176 {
1177   PetscErrorCode ierr;
1178 
1179   PetscFunctionBegin;
1180   if (!ia) PetscFunctionReturn(0);
1181   if ((!blockcompressed && A->rmap->bs > 1) || (symmetric || oshift == 1)) {
1182     ierr = PetscFree(*ia);CHKERRQ(ierr);
1183     if (ja) {ierr = PetscFree(*ja);CHKERRQ(ierr);}
1184   }
1185   PetscFunctionReturn(0);
1186 }
1187 
1188 #undef __FUNCT__
1189 #define __FUNCT__ "MatDestroy_SeqBAIJ"
1190 PetscErrorCode MatDestroy_SeqBAIJ(Mat A)
1191 {
1192   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1193   PetscErrorCode ierr;
1194 
1195   PetscFunctionBegin;
1196 #if defined(PETSC_USE_LOG)
1197   PetscLogObjectState((PetscObject)A,"Rows=%D, Cols=%D, NZ=%D",A->rmap->N,A->cmap->n,a->nz);
1198 #endif
1199   ierr = MatSeqXAIJFreeAIJ(A,&a->a,&a->j,&a->i);CHKERRQ(ierr);
1200   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
1201   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
1202   if (a->free_diag) {ierr = PetscFree(a->diag);CHKERRQ(ierr);}
1203   ierr = PetscFree(a->idiag);CHKERRQ(ierr);
1204   if (a->free_imax_ilen) {ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);}
1205   ierr = PetscFree(a->solve_work);CHKERRQ(ierr);
1206   ierr = PetscFree(a->mult_work);CHKERRQ(ierr);
1207   ierr = PetscFree(a->sor_work);CHKERRQ(ierr);
1208   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
1209   ierr = PetscFree(a->saved_values);CHKERRQ(ierr);
1210   ierr = PetscFree(a->xtoy);CHKERRQ(ierr);
1211   ierr = PetscFree2(a->compressedrow.i,a->compressedrow.rindex);CHKERRQ(ierr);
1212 
1213   ierr = MatDestroy(&a->sbaijMat);CHKERRQ(ierr);
1214   ierr = MatDestroy(&a->parent);CHKERRQ(ierr);
1215   ierr = PetscFree(A->data);CHKERRQ(ierr);
1216 
1217   ierr = PetscObjectChangeTypeName((PetscObject)A,0);CHKERRQ(ierr);
1218   ierr = PetscObjectComposeFunction((PetscObject)A,"MatInvertBlockDiagonal_C",NULL);CHKERRQ(ierr);
1219   ierr = PetscObjectComposeFunction((PetscObject)A,"MatStoreValues_C",NULL);CHKERRQ(ierr);
1220   ierr = PetscObjectComposeFunction((PetscObject)A,"MatRetrieveValues_C",NULL);CHKERRQ(ierr);
1221   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJSetColumnIndices_C",NULL);CHKERRQ(ierr);
1222   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqbaij_seqaij_C",NULL);CHKERRQ(ierr);
1223   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqbaij_seqsbaij_C",NULL);CHKERRQ(ierr);
1224   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJSetPreallocation_C",NULL);CHKERRQ(ierr);
1225   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJSetPreallocationCSR_C",NULL);CHKERRQ(ierr);
1226   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqbaij_seqbstrm_C",NULL);CHKERRQ(ierr);
1227   ierr = PetscObjectComposeFunction((PetscObject)A,"MatIsTranspose_C",NULL);CHKERRQ(ierr);
1228   PetscFunctionReturn(0);
1229 }
1230 
1231 #undef __FUNCT__
1232 #define __FUNCT__ "MatSetOption_SeqBAIJ"
1233 PetscErrorCode MatSetOption_SeqBAIJ(Mat A,MatOption op,PetscBool flg)
1234 {
1235   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1236   PetscErrorCode ierr;
1237 
1238   PetscFunctionBegin;
1239   switch (op) {
1240   case MAT_ROW_ORIENTED:
1241     a->roworiented = flg;
1242     break;
1243   case MAT_KEEP_NONZERO_PATTERN:
1244     a->keepnonzeropattern = flg;
1245     break;
1246   case MAT_NEW_NONZERO_LOCATIONS:
1247     a->nonew = (flg ? 0 : 1);
1248     break;
1249   case MAT_NEW_NONZERO_LOCATION_ERR:
1250     a->nonew = (flg ? -1 : 0);
1251     break;
1252   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1253     a->nonew = (flg ? -2 : 0);
1254     break;
1255   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1256     a->nounused = (flg ? -1 : 0);
1257     break;
1258   case MAT_CHECK_COMPRESSED_ROW:
1259     a->compressedrow.check = flg;
1260     break;
1261   case MAT_NEW_DIAGONALS:
1262   case MAT_IGNORE_OFF_PROC_ENTRIES:
1263   case MAT_USE_HASH_TABLE:
1264     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1265     break;
1266   case MAT_SPD:
1267   case MAT_SYMMETRIC:
1268   case MAT_STRUCTURALLY_SYMMETRIC:
1269   case MAT_HERMITIAN:
1270   case MAT_SYMMETRY_ETERNAL:
1271     /* These options are handled directly by MatSetOption() */
1272     break;
1273   default:
1274     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
1275   }
1276   PetscFunctionReturn(0);
1277 }
1278 
1279 #undef __FUNCT__
1280 #define __FUNCT__ "MatGetRow_SeqBAIJ"
1281 PetscErrorCode MatGetRow_SeqBAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1282 {
1283   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1284   PetscErrorCode ierr;
1285   PetscInt       itmp,i,j,k,M,*ai,*aj,bs,bn,bp,*idx_i,bs2;
1286   MatScalar      *aa,*aa_i;
1287   PetscScalar    *v_i;
1288 
1289   PetscFunctionBegin;
1290   bs  = A->rmap->bs;
1291   ai  = a->i;
1292   aj  = a->j;
1293   aa  = a->a;
1294   bs2 = a->bs2;
1295 
1296   if (row < 0 || row >= A->rmap->N) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row %D out of range", row);
1297 
1298   bn  = row/bs;   /* Block number */
1299   bp  = row % bs; /* Block Position */
1300   M   = ai[bn+1] - ai[bn];
1301   *nz = bs*M;
1302 
1303   if (v) {
1304     *v = 0;
1305     if (*nz) {
1306       ierr = PetscMalloc((*nz)*sizeof(PetscScalar),v);CHKERRQ(ierr);
1307       for (i=0; i<M; i++) { /* for each block in the block row */
1308         v_i  = *v + i*bs;
1309         aa_i = aa + bs2*(ai[bn] + i);
1310         for (j=bp,k=0; j<bs2; j+=bs,k++) v_i[k] = aa_i[j];
1311       }
1312     }
1313   }
1314 
1315   if (idx) {
1316     *idx = 0;
1317     if (*nz) {
1318       ierr = PetscMalloc((*nz)*sizeof(PetscInt),idx);CHKERRQ(ierr);
1319       for (i=0; i<M; i++) { /* for each block in the block row */
1320         idx_i = *idx + i*bs;
1321         itmp  = bs*aj[ai[bn] + i];
1322         for (j=0; j<bs; j++) idx_i[j] = itmp++;
1323       }
1324     }
1325   }
1326   PetscFunctionReturn(0);
1327 }
1328 
1329 #undef __FUNCT__
1330 #define __FUNCT__ "MatRestoreRow_SeqBAIJ"
1331 PetscErrorCode MatRestoreRow_SeqBAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1332 {
1333   PetscErrorCode ierr;
1334 
1335   PetscFunctionBegin;
1336   if (idx) {ierr = PetscFree(*idx);CHKERRQ(ierr);}
1337   if (v)   {ierr = PetscFree(*v);CHKERRQ(ierr);}
1338   PetscFunctionReturn(0);
1339 }
1340 
1341 extern PetscErrorCode MatSetValues_SeqBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
1342 
1343 #undef __FUNCT__
1344 #define __FUNCT__ "MatTranspose_SeqBAIJ"
1345 PetscErrorCode MatTranspose_SeqBAIJ(Mat A,MatReuse reuse,Mat *B)
1346 {
1347   Mat_SeqBAIJ    *a=(Mat_SeqBAIJ*)A->data;
1348   Mat            C;
1349   PetscErrorCode ierr;
1350   PetscInt       i,j,k,*aj=a->j,*ai=a->i,bs=A->rmap->bs,mbs=a->mbs,nbs=a->nbs,len,*col;
1351   PetscInt       *rows,*cols,bs2=a->bs2;
1352   MatScalar      *array;
1353 
1354   PetscFunctionBegin;
1355   if (reuse == MAT_REUSE_MATRIX && A == *B && mbs != nbs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Square matrix only for in-place");
1356   if (reuse == MAT_INITIAL_MATRIX || A == *B) {
1357     ierr = PetscMalloc((1+nbs)*sizeof(PetscInt),&col);CHKERRQ(ierr);
1358     ierr = PetscMemzero(col,(1+nbs)*sizeof(PetscInt));CHKERRQ(ierr);
1359 
1360     for (i=0; i<ai[mbs]; i++) col[aj[i]] += 1;
1361     ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
1362     ierr = MatSetSizes(C,A->cmap->n,A->rmap->N,A->cmap->n,A->rmap->N);CHKERRQ(ierr);
1363     ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
1364     ierr = MatSeqBAIJSetPreallocation_SeqBAIJ(C,bs,0,col);CHKERRQ(ierr);
1365     ierr = PetscFree(col);CHKERRQ(ierr);
1366   } else {
1367     C = *B;
1368   }
1369 
1370   array = a->a;
1371   ierr  = PetscMalloc2(bs,PetscInt,&rows,bs,PetscInt,&cols);CHKERRQ(ierr);
1372   for (i=0; i<mbs; i++) {
1373     cols[0] = i*bs;
1374     for (k=1; k<bs; k++) cols[k] = cols[k-1] + 1;
1375     len = ai[i+1] - ai[i];
1376     for (j=0; j<len; j++) {
1377       rows[0] = (*aj++)*bs;
1378       for (k=1; k<bs; k++) rows[k] = rows[k-1] + 1;
1379       ierr   = MatSetValues_SeqBAIJ(C,bs,rows,bs,cols,array,INSERT_VALUES);CHKERRQ(ierr);
1380       array += bs2;
1381     }
1382   }
1383   ierr = PetscFree2(rows,cols);CHKERRQ(ierr);
1384 
1385   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1386   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1387 
1388   if (reuse == MAT_INITIAL_MATRIX || *B != A) {
1389     *B = C;
1390   } else {
1391     ierr = MatHeaderMerge(A,C);CHKERRQ(ierr);
1392   }
1393   PetscFunctionReturn(0);
1394 }
1395 
1396 #undef __FUNCT__
1397 #define __FUNCT__ "MatIsTranspose_SeqBAIJ"
1398 PetscErrorCode MatIsTranspose_SeqBAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
1399 {
1400   PetscErrorCode ierr;
1401   Mat            Btrans;
1402 
1403   PetscFunctionBegin;
1404   *f   = PETSC_FALSE;
1405   ierr = MatTranspose_SeqBAIJ(A,MAT_INITIAL_MATRIX,&Btrans);CHKERRQ(ierr);
1406   ierr = MatEqual_SeqBAIJ(B,Btrans,f);CHKERRQ(ierr);
1407   ierr = MatDestroy(&Btrans);CHKERRQ(ierr);
1408   PetscFunctionReturn(0);
1409 }
1410 
1411 #undef __FUNCT__
1412 #define __FUNCT__ "MatView_SeqBAIJ_Binary"
1413 static PetscErrorCode MatView_SeqBAIJ_Binary(Mat A,PetscViewer viewer)
1414 {
1415   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1416   PetscErrorCode ierr;
1417   PetscInt       i,*col_lens,bs = A->rmap->bs,count,*jj,j,k,l,bs2=a->bs2;
1418   int            fd;
1419   PetscScalar    *aa;
1420   FILE           *file;
1421 
1422   PetscFunctionBegin;
1423   ierr        = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
1424   ierr        = PetscMalloc((4+A->rmap->N)*sizeof(PetscInt),&col_lens);CHKERRQ(ierr);
1425   col_lens[0] = MAT_FILE_CLASSID;
1426 
1427   col_lens[1] = A->rmap->N;
1428   col_lens[2] = A->cmap->n;
1429   col_lens[3] = a->nz*bs2;
1430 
1431   /* store lengths of each row and write (including header) to file */
1432   count = 0;
1433   for (i=0; i<a->mbs; i++) {
1434     for (j=0; j<bs; j++) {
1435       col_lens[4+count++] = bs*(a->i[i+1] - a->i[i]);
1436     }
1437   }
1438   ierr = PetscBinaryWrite(fd,col_lens,4+A->rmap->N,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1439   ierr = PetscFree(col_lens);CHKERRQ(ierr);
1440 
1441   /* store column indices (zero start index) */
1442   ierr  = PetscMalloc((a->nz+1)*bs2*sizeof(PetscInt),&jj);CHKERRQ(ierr);
1443   count = 0;
1444   for (i=0; i<a->mbs; i++) {
1445     for (j=0; j<bs; j++) {
1446       for (k=a->i[i]; k<a->i[i+1]; k++) {
1447         for (l=0; l<bs; l++) {
1448           jj[count++] = bs*a->j[k] + l;
1449         }
1450       }
1451     }
1452   }
1453   ierr = PetscBinaryWrite(fd,jj,bs2*a->nz,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
1454   ierr = PetscFree(jj);CHKERRQ(ierr);
1455 
1456   /* store nonzero values */
1457   ierr  = PetscMalloc((a->nz+1)*bs2*sizeof(PetscScalar),&aa);CHKERRQ(ierr);
1458   count = 0;
1459   for (i=0; i<a->mbs; i++) {
1460     for (j=0; j<bs; j++) {
1461       for (k=a->i[i]; k<a->i[i+1]; k++) {
1462         for (l=0; l<bs; l++) {
1463           aa[count++] = a->a[bs2*k + l*bs + j];
1464         }
1465       }
1466     }
1467   }
1468   ierr = PetscBinaryWrite(fd,aa,bs2*a->nz,PETSC_SCALAR,PETSC_FALSE);CHKERRQ(ierr);
1469   ierr = PetscFree(aa);CHKERRQ(ierr);
1470 
1471   ierr = PetscViewerBinaryGetInfoPointer(viewer,&file);CHKERRQ(ierr);
1472   if (file) {
1473     fprintf(file,"-matload_block_size %d\n",(int)A->rmap->bs);
1474   }
1475   PetscFunctionReturn(0);
1476 }
1477 
1478 #undef __FUNCT__
1479 #define __FUNCT__ "MatView_SeqBAIJ_ASCII"
1480 static PetscErrorCode MatView_SeqBAIJ_ASCII(Mat A,PetscViewer viewer)
1481 {
1482   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
1483   PetscErrorCode    ierr;
1484   PetscInt          i,j,bs = A->rmap->bs,k,l,bs2=a->bs2;
1485   PetscViewerFormat format;
1486 
1487   PetscFunctionBegin;
1488   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1489   if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
1490     ierr = PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);CHKERRQ(ierr);
1491   } else if (format == PETSC_VIEWER_ASCII_MATLAB) {
1492     Mat aij;
1493     ierr = MatConvert(A,MATSEQAIJ,MAT_INITIAL_MATRIX,&aij);CHKERRQ(ierr);
1494     ierr = MatView(aij,viewer);CHKERRQ(ierr);
1495     ierr = MatDestroy(&aij);CHKERRQ(ierr);
1496   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
1497       PetscFunctionReturn(0);
1498   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
1499     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
1500     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)A,viewer);CHKERRQ(ierr);
1501     for (i=0; i<a->mbs; i++) {
1502       for (j=0; j<bs; j++) {
1503         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i*bs+j);CHKERRQ(ierr);
1504         for (k=a->i[i]; k<a->i[i+1]; k++) {
1505           for (l=0; l<bs; l++) {
1506 #if defined(PETSC_USE_COMPLEX)
1507             if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) > 0.0 && PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
1508               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %Gi) ",bs*a->j[k]+l,
1509                                             PetscRealPart(a->a[bs2*k + l*bs + j]),PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1510             } else if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) < 0.0 && PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
1511               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %Gi) ",bs*a->j[k]+l,
1512                                             PetscRealPart(a->a[bs2*k + l*bs + j]),-PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1513             } else if (PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
1514               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,PetscRealPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1515             }
1516 #else
1517             if (a->a[bs2*k + l*bs + j] != 0.0) {
1518               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,a->a[bs2*k + l*bs + j]);CHKERRQ(ierr);
1519             }
1520 #endif
1521           }
1522         }
1523         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
1524       }
1525     }
1526     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
1527   } else {
1528     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
1529     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)A,viewer);CHKERRQ(ierr);
1530     for (i=0; i<a->mbs; i++) {
1531       for (j=0; j<bs; j++) {
1532         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i*bs+j);CHKERRQ(ierr);
1533         for (k=a->i[i]; k<a->i[i+1]; k++) {
1534           for (l=0; l<bs; l++) {
1535 #if defined(PETSC_USE_COMPLEX)
1536             if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) > 0.0) {
1537               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %G i) ",bs*a->j[k]+l,
1538                                             PetscRealPart(a->a[bs2*k + l*bs + j]),PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1539             } else if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) < 0.0) {
1540               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %G i) ",bs*a->j[k]+l,
1541                                             PetscRealPart(a->a[bs2*k + l*bs + j]),-PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1542             } else {
1543               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,PetscRealPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1544             }
1545 #else
1546             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,a->a[bs2*k + l*bs + j]);CHKERRQ(ierr);
1547 #endif
1548           }
1549         }
1550         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
1551       }
1552     }
1553     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
1554   }
1555   ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1556   PetscFunctionReturn(0);
1557 }
1558 
1559 #include <petscdraw.h>
1560 #undef __FUNCT__
1561 #define __FUNCT__ "MatView_SeqBAIJ_Draw_Zoom"
1562 static PetscErrorCode MatView_SeqBAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
1563 {
1564   Mat               A = (Mat) Aa;
1565   Mat_SeqBAIJ       *a=(Mat_SeqBAIJ*)A->data;
1566   PetscErrorCode    ierr;
1567   PetscInt          row,i,j,k,l,mbs=a->mbs,color,bs=A->rmap->bs,bs2=a->bs2;
1568   PetscReal         xl,yl,xr,yr,x_l,x_r,y_l,y_r;
1569   MatScalar         *aa;
1570   PetscViewer       viewer;
1571   PetscViewerFormat format;
1572 
1573   PetscFunctionBegin;
1574   ierr = PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer);CHKERRQ(ierr);
1575   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1576 
1577   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
1578 
1579   /* loop over matrix elements drawing boxes */
1580 
1581   if (format != PETSC_VIEWER_DRAW_CONTOUR) {
1582     color = PETSC_DRAW_BLUE;
1583     for (i=0,row=0; i<mbs; i++,row+=bs) {
1584       for (j=a->i[i]; j<a->i[i+1]; j++) {
1585         y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1586         x_l = a->j[j]*bs; x_r = x_l + 1.0;
1587         aa  = a->a + j*bs2;
1588         for (k=0; k<bs; k++) {
1589           for (l=0; l<bs; l++) {
1590             if (PetscRealPart(*aa++) >=  0.) continue;
1591             ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
1592           }
1593         }
1594       }
1595     }
1596     color = PETSC_DRAW_CYAN;
1597     for (i=0,row=0; i<mbs; i++,row+=bs) {
1598       for (j=a->i[i]; j<a->i[i+1]; j++) {
1599         y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1600         x_l = a->j[j]*bs; x_r = x_l + 1.0;
1601         aa  = a->a + j*bs2;
1602         for (k=0; k<bs; k++) {
1603           for (l=0; l<bs; l++) {
1604             if (PetscRealPart(*aa++) != 0.) continue;
1605             ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
1606           }
1607         }
1608       }
1609     }
1610     color = PETSC_DRAW_RED;
1611     for (i=0,row=0; i<mbs; i++,row+=bs) {
1612       for (j=a->i[i]; j<a->i[i+1]; j++) {
1613         y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1614         x_l = a->j[j]*bs; x_r = x_l + 1.0;
1615         aa  = a->a + j*bs2;
1616         for (k=0; k<bs; k++) {
1617           for (l=0; l<bs; l++) {
1618             if (PetscRealPart(*aa++) <= 0.) continue;
1619             ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
1620           }
1621         }
1622       }
1623     }
1624   } else {
1625     /* use contour shading to indicate magnitude of values */
1626     /* first determine max of all nonzero values */
1627     PetscDraw popup;
1628     PetscReal scale,maxv = 0.0;
1629 
1630     for (i=0; i<a->nz*a->bs2; i++) {
1631       if (PetscAbsScalar(a->a[i]) > maxv) maxv = PetscAbsScalar(a->a[i]);
1632     }
1633     scale = (245.0 - PETSC_DRAW_BASIC_COLORS)/maxv;
1634     ierr  = PetscDrawGetPopup(draw,&popup);CHKERRQ(ierr);
1635     if (popup) {
1636       ierr = PetscDrawScalePopup(popup,0.0,maxv);CHKERRQ(ierr);
1637     }
1638     for (i=0,row=0; i<mbs; i++,row+=bs) {
1639       for (j=a->i[i]; j<a->i[i+1]; j++) {
1640         y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1641         x_l = a->j[j]*bs; x_r = x_l + 1.0;
1642         aa  = a->a + j*bs2;
1643         for (k=0; k<bs; k++) {
1644           for (l=0; l<bs; l++) {
1645             color = PETSC_DRAW_BASIC_COLORS + (PetscInt)(scale*PetscAbsScalar(*aa++));
1646             ierr  = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
1647           }
1648         }
1649       }
1650     }
1651   }
1652   PetscFunctionReturn(0);
1653 }
1654 
1655 #undef __FUNCT__
1656 #define __FUNCT__ "MatView_SeqBAIJ_Draw"
1657 static PetscErrorCode MatView_SeqBAIJ_Draw(Mat A,PetscViewer viewer)
1658 {
1659   PetscErrorCode ierr;
1660   PetscReal      xl,yl,xr,yr,w,h;
1661   PetscDraw      draw;
1662   PetscBool      isnull;
1663 
1664   PetscFunctionBegin;
1665   ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1666   ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
1667 
1668   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer);CHKERRQ(ierr);
1669   xr   = A->cmap->n; yr = A->rmap->N; h = yr/10.0; w = xr/10.0;
1670   xr  += w;    yr += h;  xl = -w;     yl = -h;
1671   ierr = PetscDrawSetCoordinates(draw,xl,yl,xr,yr);CHKERRQ(ierr);
1672   ierr = PetscDrawZoom(draw,MatView_SeqBAIJ_Draw_Zoom,A);CHKERRQ(ierr);
1673   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",NULL);CHKERRQ(ierr);
1674   PetscFunctionReturn(0);
1675 }
1676 
1677 #undef __FUNCT__
1678 #define __FUNCT__ "MatView_SeqBAIJ"
1679 PetscErrorCode MatView_SeqBAIJ(Mat A,PetscViewer viewer)
1680 {
1681   PetscErrorCode ierr;
1682   PetscBool      iascii,isbinary,isdraw;
1683 
1684   PetscFunctionBegin;
1685   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1686   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1687   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1688   if (iascii) {
1689     ierr = MatView_SeqBAIJ_ASCII(A,viewer);CHKERRQ(ierr);
1690   } else if (isbinary) {
1691     ierr = MatView_SeqBAIJ_Binary(A,viewer);CHKERRQ(ierr);
1692   } else if (isdraw) {
1693     ierr = MatView_SeqBAIJ_Draw(A,viewer);CHKERRQ(ierr);
1694   } else {
1695     Mat B;
1696     ierr = MatConvert(A,MATSEQAIJ,MAT_INITIAL_MATRIX,&B);CHKERRQ(ierr);
1697     ierr = MatView(B,viewer);CHKERRQ(ierr);
1698     ierr = MatDestroy(&B);CHKERRQ(ierr);
1699   }
1700   PetscFunctionReturn(0);
1701 }
1702 
1703 
1704 #undef __FUNCT__
1705 #define __FUNCT__ "MatGetValues_SeqBAIJ"
1706 PetscErrorCode MatGetValues_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],PetscScalar v[])
1707 {
1708   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
1709   PetscInt    *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
1710   PetscInt    *ai = a->i,*ailen = a->ilen;
1711   PetscInt    brow,bcol,ridx,cidx,bs=A->rmap->bs,bs2=a->bs2;
1712   MatScalar   *ap,*aa = a->a;
1713 
1714   PetscFunctionBegin;
1715   for (k=0; k<m; k++) { /* loop over rows */
1716     row = im[k]; brow = row/bs;
1717     if (row < 0) {v += n; continue;} /* SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row"); */
1718     if (row >= A->rmap->N) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row %D too large", row);
1719     rp   = aj + ai[brow]; ap = aa + bs2*ai[brow];
1720     nrow = ailen[brow];
1721     for (l=0; l<n; l++) { /* loop over columns */
1722       if (in[l] < 0) {v++; continue;} /* SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column"); */
1723       if (in[l] >= A->cmap->n) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column %D too large", in[l]);
1724       col  = in[l];
1725       bcol = col/bs;
1726       cidx = col%bs;
1727       ridx = row%bs;
1728       high = nrow;
1729       low  = 0; /* assume unsorted */
1730       while (high-low > 5) {
1731         t = (low+high)/2;
1732         if (rp[t] > bcol) high = t;
1733         else             low  = t;
1734       }
1735       for (i=low; i<high; i++) {
1736         if (rp[i] > bcol) break;
1737         if (rp[i] == bcol) {
1738           *v++ = ap[bs2*i+bs*cidx+ridx];
1739           goto finished;
1740         }
1741       }
1742       *v++ = 0.0;
1743 finished:;
1744     }
1745   }
1746   PetscFunctionReturn(0);
1747 }
1748 
1749 #undef __FUNCT__
1750 #define __FUNCT__ "MatSetValuesBlocked_SeqBAIJ"
1751 PetscErrorCode MatSetValuesBlocked_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
1752 {
1753   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
1754   PetscInt          *rp,k,low,high,t,ii,jj,row,nrow,i,col,l,rmax,N,lastcol = -1;
1755   PetscInt          *imax=a->imax,*ai=a->i,*ailen=a->ilen;
1756   PetscErrorCode    ierr;
1757   PetscInt          *aj        =a->j,nonew=a->nonew,bs2=a->bs2,bs=A->rmap->bs,stepval;
1758   PetscBool         roworiented=a->roworiented;
1759   const PetscScalar *value     = v;
1760   MatScalar         *ap,*aa = a->a,*bap;
1761 
1762   PetscFunctionBegin;
1763   if (roworiented) {
1764     stepval = (n-1)*bs;
1765   } else {
1766     stepval = (m-1)*bs;
1767   }
1768   for (k=0; k<m; k++) { /* loop over added rows */
1769     row = im[k];
1770     if (row < 0) continue;
1771 #if defined(PETSC_USE_DEBUG)
1772     if (row >= a->mbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,a->mbs-1);
1773 #endif
1774     rp   = aj + ai[row];
1775     ap   = aa + bs2*ai[row];
1776     rmax = imax[row];
1777     nrow = ailen[row];
1778     low  = 0;
1779     high = nrow;
1780     for (l=0; l<n; l++) { /* loop over added columns */
1781       if (in[l] < 0) continue;
1782 #if defined(PETSC_USE_DEBUG)
1783       if (in[l] >= a->nbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],a->nbs-1);
1784 #endif
1785       col = in[l];
1786       if (roworiented) {
1787         value = v + (k*(stepval+bs) + l)*bs;
1788       } else {
1789         value = v + (l*(stepval+bs) + k)*bs;
1790       }
1791       if (col <= lastcol) low = 0;
1792       else high = nrow;
1793       lastcol = col;
1794       while (high-low > 7) {
1795         t = (low+high)/2;
1796         if (rp[t] > col) high = t;
1797         else             low  = t;
1798       }
1799       for (i=low; i<high; i++) {
1800         if (rp[i] > col) break;
1801         if (rp[i] == col) {
1802           bap = ap +  bs2*i;
1803           if (roworiented) {
1804             if (is == ADD_VALUES) {
1805               for (ii=0; ii<bs; ii++,value+=stepval) {
1806                 for (jj=ii; jj<bs2; jj+=bs) {
1807                   bap[jj] += *value++;
1808                 }
1809               }
1810             } else {
1811               for (ii=0; ii<bs; ii++,value+=stepval) {
1812                 for (jj=ii; jj<bs2; jj+=bs) {
1813                   bap[jj] = *value++;
1814                 }
1815               }
1816             }
1817           } else {
1818             if (is == ADD_VALUES) {
1819               for (ii=0; ii<bs; ii++,value+=bs+stepval) {
1820                 for (jj=0; jj<bs; jj++) {
1821                   bap[jj] += value[jj];
1822                 }
1823                 bap += bs;
1824               }
1825             } else {
1826               for (ii=0; ii<bs; ii++,value+=bs+stepval) {
1827                 for (jj=0; jj<bs; jj++) {
1828                   bap[jj]  = value[jj];
1829                 }
1830                 bap += bs;
1831               }
1832             }
1833           }
1834           goto noinsert2;
1835         }
1836       }
1837       if (nonew == 1) goto noinsert2;
1838       if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) in the matrix", row, col);
1839       MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
1840       N = nrow++ - 1; high++;
1841       /* shift up all the later entries in this row */
1842       for (ii=N; ii>=i; ii--) {
1843         rp[ii+1] = rp[ii];
1844         ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
1845       }
1846       if (N >= i) {
1847         ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
1848       }
1849       rp[i] = col;
1850       bap   = ap +  bs2*i;
1851       if (roworiented) {
1852         for (ii=0; ii<bs; ii++,value+=stepval) {
1853           for (jj=ii; jj<bs2; jj+=bs) {
1854             bap[jj] = *value++;
1855           }
1856         }
1857       } else {
1858         for (ii=0; ii<bs; ii++,value+=stepval) {
1859           for (jj=0; jj<bs; jj++) {
1860             *bap++ = *value++;
1861           }
1862         }
1863       }
1864 noinsert2:;
1865       low = i;
1866     }
1867     ailen[row] = nrow;
1868   }
1869   PetscFunctionReturn(0);
1870 }
1871 
1872 #undef __FUNCT__
1873 #define __FUNCT__ "MatAssemblyEnd_SeqBAIJ"
1874 PetscErrorCode MatAssemblyEnd_SeqBAIJ(Mat A,MatAssemblyType mode)
1875 {
1876   Mat_SeqBAIJ    *a     = (Mat_SeqBAIJ*)A->data;
1877   PetscInt       fshift = 0,i,j,*ai = a->i,*aj = a->j,*imax = a->imax;
1878   PetscInt       m      = A->rmap->N,*ip,N,*ailen = a->ilen;
1879   PetscErrorCode ierr;
1880   PetscInt       mbs  = a->mbs,bs2 = a->bs2,rmax = 0;
1881   MatScalar      *aa  = a->a,*ap;
1882   PetscReal      ratio=0.6;
1883 
1884   PetscFunctionBegin;
1885   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
1886 
1887   if (m) rmax = ailen[0];
1888   for (i=1; i<mbs; i++) {
1889     /* move each row back by the amount of empty slots (fshift) before it*/
1890     fshift += imax[i-1] - ailen[i-1];
1891     rmax    = PetscMax(rmax,ailen[i]);
1892     if (fshift) {
1893       ip = aj + ai[i]; ap = aa + bs2*ai[i];
1894       N  = ailen[i];
1895       for (j=0; j<N; j++) {
1896         ip[j-fshift] = ip[j];
1897 
1898         ierr = PetscMemcpy(ap+(j-fshift)*bs2,ap+j*bs2,bs2*sizeof(MatScalar));CHKERRQ(ierr);
1899       }
1900     }
1901     ai[i] = ai[i-1] + ailen[i-1];
1902   }
1903   if (mbs) {
1904     fshift += imax[mbs-1] - ailen[mbs-1];
1905     ai[mbs] = ai[mbs-1] + ailen[mbs-1];
1906   }
1907   /* reset ilen and imax for each row */
1908   for (i=0; i<mbs; i++) {
1909     ailen[i] = imax[i] = ai[i+1] - ai[i];
1910   }
1911   a->nz = ai[mbs];
1912 
1913   /* diagonals may have moved, so kill the diagonal pointers */
1914   a->idiagvalid = PETSC_FALSE;
1915   if (fshift && a->diag) {
1916     ierr    = PetscFree(a->diag);CHKERRQ(ierr);
1917     ierr    = PetscLogObjectMemory((PetscObject)A,-(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
1918     a->diag = 0;
1919   }
1920   if (fshift && a->nounused == -1) SETERRQ4(PETSC_COMM_SELF,PETSC_ERR_PLIB, "Unused space detected in matrix: %D X %D block size %D, %D unneeded", m, A->cmap->n, A->rmap->bs, fshift*bs2);
1921   ierr = PetscInfo5(A,"Matrix size: %D X %D, block size %D; storage space: %D unneeded, %D used\n",m,A->cmap->n,A->rmap->bs,fshift*bs2,a->nz*bs2);CHKERRQ(ierr);
1922   ierr = PetscInfo1(A,"Number of mallocs during MatSetValues is %D\n",a->reallocs);CHKERRQ(ierr);
1923   ierr = PetscInfo1(A,"Most nonzeros blocks in any row is %D\n",rmax);CHKERRQ(ierr);
1924 
1925   A->info.mallocs    += a->reallocs;
1926   a->reallocs         = 0;
1927   A->info.nz_unneeded = (PetscReal)fshift*bs2;
1928 
1929   ierr = MatCheckCompressedRow(A,&a->compressedrow,a->i,mbs,ratio);CHKERRQ(ierr);
1930 
1931   A->same_nonzero = PETSC_TRUE;
1932   PetscFunctionReturn(0);
1933 }
1934 
1935 /*
1936    This function returns an array of flags which indicate the locations of contiguous
1937    blocks that should be zeroed. for eg: if bs = 3  and is = [0,1,2,3,5,6,7,8,9]
1938    then the resulting sizes = [3,1,1,3,1] correspondig to sets [(0,1,2),(3),(5),(6,7,8),(9)]
1939    Assume: sizes should be long enough to hold all the values.
1940 */
1941 #undef __FUNCT__
1942 #define __FUNCT__ "MatZeroRows_SeqBAIJ_Check_Blocks"
1943 static PetscErrorCode MatZeroRows_SeqBAIJ_Check_Blocks(PetscInt idx[],PetscInt n,PetscInt bs,PetscInt sizes[], PetscInt *bs_max)
1944 {
1945   PetscInt  i,j,k,row;
1946   PetscBool flg;
1947 
1948   PetscFunctionBegin;
1949   for (i=0,j=0; i<n; j++) {
1950     row = idx[i];
1951     if (row%bs!=0) { /* Not the begining of a block */
1952       sizes[j] = 1;
1953       i++;
1954     } else if (i+bs > n) { /* complete block doesn't exist (at idx end) */
1955       sizes[j] = 1;         /* Also makes sure atleast 'bs' values exist for next else */
1956       i++;
1957     } else { /* Begining of the block, so check if the complete block exists */
1958       flg = PETSC_TRUE;
1959       for (k=1; k<bs; k++) {
1960         if (row+k != idx[i+k]) { /* break in the block */
1961           flg = PETSC_FALSE;
1962           break;
1963         }
1964       }
1965       if (flg) { /* No break in the bs */
1966         sizes[j] = bs;
1967         i       += bs;
1968       } else {
1969         sizes[j] = 1;
1970         i++;
1971       }
1972     }
1973   }
1974   *bs_max = j;
1975   PetscFunctionReturn(0);
1976 }
1977 
1978 #undef __FUNCT__
1979 #define __FUNCT__ "MatZeroRows_SeqBAIJ"
1980 PetscErrorCode MatZeroRows_SeqBAIJ(Mat A,PetscInt is_n,const PetscInt is_idx[],PetscScalar diag,Vec x, Vec b)
1981 {
1982   Mat_SeqBAIJ       *baij=(Mat_SeqBAIJ*)A->data;
1983   PetscErrorCode    ierr;
1984   PetscInt          i,j,k,count,*rows;
1985   PetscInt          bs=A->rmap->bs,bs2=baij->bs2,*sizes,row,bs_max;
1986   PetscScalar       zero = 0.0;
1987   MatScalar         *aa;
1988   const PetscScalar *xx;
1989   PetscScalar       *bb;
1990 
1991   PetscFunctionBegin;
1992   /* fix right hand side if needed */
1993   if (x && b) {
1994     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1995     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1996     for (i=0; i<is_n; i++) {
1997       bb[is_idx[i]] = diag*xx[is_idx[i]];
1998     }
1999     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
2000     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
2001   }
2002 
2003   /* Make a copy of the IS and  sort it */
2004   /* allocate memory for rows,sizes */
2005   ierr = PetscMalloc2(is_n,PetscInt,&rows,2*is_n,PetscInt,&sizes);CHKERRQ(ierr);
2006 
2007   /* copy IS values to rows, and sort them */
2008   for (i=0; i<is_n; i++) rows[i] = is_idx[i];
2009   ierr = PetscSortInt(is_n,rows);CHKERRQ(ierr);
2010 
2011   if (baij->keepnonzeropattern) {
2012     for (i=0; i<is_n; i++) sizes[i] = 1;
2013     bs_max          = is_n;
2014     A->same_nonzero = PETSC_TRUE;
2015   } else {
2016     ierr = MatZeroRows_SeqBAIJ_Check_Blocks(rows,is_n,bs,sizes,&bs_max);CHKERRQ(ierr);
2017 
2018     A->same_nonzero = PETSC_FALSE;
2019   }
2020 
2021   for (i=0,j=0; i<bs_max; j+=sizes[i],i++) {
2022     row = rows[j];
2023     if (row < 0 || row > A->rmap->N) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range",row);
2024     count = (baij->i[row/bs +1] - baij->i[row/bs])*bs;
2025     aa    = ((MatScalar*)(baij->a)) + baij->i[row/bs]*bs2 + (row%bs);
2026     if (sizes[i] == bs && !baij->keepnonzeropattern) {
2027       if (diag != (PetscScalar)0.0) {
2028         if (baij->ilen[row/bs] > 0) {
2029           baij->ilen[row/bs]       = 1;
2030           baij->j[baij->i[row/bs]] = row/bs;
2031 
2032           ierr = PetscMemzero(aa,count*bs*sizeof(MatScalar));CHKERRQ(ierr);
2033         }
2034         /* Now insert all the diagonal values for this bs */
2035         for (k=0; k<bs; k++) {
2036           ierr = (*A->ops->setvalues)(A,1,rows+j+k,1,rows+j+k,&diag,INSERT_VALUES);CHKERRQ(ierr);
2037         }
2038       } else { /* (diag == 0.0) */
2039         baij->ilen[row/bs] = 0;
2040       } /* end (diag == 0.0) */
2041     } else { /* (sizes[i] != bs) */
2042 #if defined(PETSC_USE_DEBUG)
2043       if (sizes[i] != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Internal Error. Value should be 1");
2044 #endif
2045       for (k=0; k<count; k++) {
2046         aa[0] =  zero;
2047         aa   += bs;
2048       }
2049       if (diag != (PetscScalar)0.0) {
2050         ierr = (*A->ops->setvalues)(A,1,rows+j,1,rows+j,&diag,INSERT_VALUES);CHKERRQ(ierr);
2051       }
2052     }
2053   }
2054 
2055   ierr = PetscFree2(rows,sizes);CHKERRQ(ierr);
2056   ierr = MatAssemblyEnd_SeqBAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2057   PetscFunctionReturn(0);
2058 }
2059 
2060 #undef __FUNCT__
2061 #define __FUNCT__ "MatZeroRowsColumns_SeqBAIJ"
2062 PetscErrorCode MatZeroRowsColumns_SeqBAIJ(Mat A,PetscInt is_n,const PetscInt is_idx[],PetscScalar diag,Vec x, Vec b)
2063 {
2064   Mat_SeqBAIJ       *baij=(Mat_SeqBAIJ*)A->data;
2065   PetscErrorCode    ierr;
2066   PetscInt          i,j,k,count;
2067   PetscInt          bs   =A->rmap->bs,bs2=baij->bs2,row,col;
2068   PetscScalar       zero = 0.0;
2069   MatScalar         *aa;
2070   const PetscScalar *xx;
2071   PetscScalar       *bb;
2072   PetscBool         *zeroed,vecs = PETSC_FALSE;
2073 
2074   PetscFunctionBegin;
2075   /* fix right hand side if needed */
2076   if (x && b) {
2077     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
2078     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
2079     vecs = PETSC_TRUE;
2080   }
2081   A->same_nonzero = PETSC_TRUE;
2082 
2083   /* zero the columns */
2084   ierr = PetscMalloc(A->rmap->n*sizeof(PetscBool),&zeroed);CHKERRQ(ierr);
2085   ierr = PetscMemzero(zeroed,A->rmap->n*sizeof(PetscBool));CHKERRQ(ierr);
2086   for (i=0; i<is_n; i++) {
2087     if (is_idx[i] < 0 || is_idx[i] >= A->rmap->N) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range",is_idx[i]);
2088     zeroed[is_idx[i]] = PETSC_TRUE;
2089   }
2090   for (i=0; i<A->rmap->N; i++) {
2091     if (!zeroed[i]) {
2092       row = i/bs;
2093       for (j=baij->i[row]; j<baij->i[row+1]; j++) {
2094         for (k=0; k<bs; k++) {
2095           col = bs*baij->j[j] + k;
2096           if (zeroed[col]) {
2097             aa = ((MatScalar*)(baij->a)) + j*bs2 + (i%bs) + bs*k;
2098             if (vecs) bb[i] -= aa[0]*xx[col];
2099             aa[0] = 0.0;
2100           }
2101         }
2102       }
2103     } else if (vecs) bb[i] = diag*xx[i];
2104   }
2105   ierr = PetscFree(zeroed);CHKERRQ(ierr);
2106   if (vecs) {
2107     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
2108     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
2109   }
2110 
2111   /* zero the rows */
2112   for (i=0; i<is_n; i++) {
2113     row   = is_idx[i];
2114     count = (baij->i[row/bs +1] - baij->i[row/bs])*bs;
2115     aa    = ((MatScalar*)(baij->a)) + baij->i[row/bs]*bs2 + (row%bs);
2116     for (k=0; k<count; k++) {
2117       aa[0] =  zero;
2118       aa   += bs;
2119     }
2120     if (diag != (PetscScalar)0.0) {
2121       ierr = (*A->ops->setvalues)(A,1,&row,1,&row,&diag,INSERT_VALUES);CHKERRQ(ierr);
2122     }
2123   }
2124   ierr = MatAssemblyEnd_SeqBAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2125   PetscFunctionReturn(0);
2126 }
2127 
2128 #undef __FUNCT__
2129 #define __FUNCT__ "MatSetValues_SeqBAIJ"
2130 PetscErrorCode MatSetValues_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
2131 {
2132   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2133   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N,lastcol = -1;
2134   PetscInt       *imax=a->imax,*ai=a->i,*ailen=a->ilen;
2135   PetscInt       *aj  =a->j,nonew=a->nonew,bs=A->rmap->bs,brow,bcol;
2136   PetscErrorCode ierr;
2137   PetscInt       ridx,cidx,bs2=a->bs2;
2138   PetscBool      roworiented=a->roworiented;
2139   MatScalar      *ap,value,*aa=a->a,*bap;
2140 
2141   PetscFunctionBegin;
2142   if (v) PetscValidScalarPointer(v,6);
2143   for (k=0; k<m; k++) { /* loop over added rows */
2144     row  = im[k];
2145     brow = row/bs;
2146     if (row < 0) continue;
2147 #if defined(PETSC_USE_DEBUG)
2148     if (row >= A->rmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,A->rmap->N-1);
2149 #endif
2150     rp   = aj + ai[brow];
2151     ap   = aa + bs2*ai[brow];
2152     rmax = imax[brow];
2153     nrow = ailen[brow];
2154     low  = 0;
2155     high = nrow;
2156     for (l=0; l<n; l++) { /* loop over added columns */
2157       if (in[l] < 0) continue;
2158 #if defined(PETSC_USE_DEBUG)
2159       if (in[l] >= A->cmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],A->cmap->n-1);
2160 #endif
2161       col  = in[l]; bcol = col/bs;
2162       ridx = row % bs; cidx = col % bs;
2163       if (roworiented) {
2164         value = v[l + k*n];
2165       } else {
2166         value = v[k + l*m];
2167       }
2168       if (col <= lastcol) low = 0; else high = nrow;
2169       lastcol = col;
2170       while (high-low > 7) {
2171         t = (low+high)/2;
2172         if (rp[t] > bcol) high = t;
2173         else              low  = t;
2174       }
2175       for (i=low; i<high; i++) {
2176         if (rp[i] > bcol) break;
2177         if (rp[i] == bcol) {
2178           bap = ap +  bs2*i + bs*cidx + ridx;
2179           if (is == ADD_VALUES) *bap += value;
2180           else                  *bap  = value;
2181           goto noinsert1;
2182         }
2183       }
2184       if (nonew == 1) goto noinsert1;
2185       if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) in the matrix", row, col);
2186       MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
2187       N = nrow++ - 1; high++;
2188       /* shift up all the later entries in this row */
2189       for (ii=N; ii>=i; ii--) {
2190         rp[ii+1] = rp[ii];
2191         ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
2192       }
2193       if (N>=i) {
2194         ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
2195       }
2196       rp[i]                      = bcol;
2197       ap[bs2*i + bs*cidx + ridx] = value;
2198       a->nz++;
2199 noinsert1:;
2200       low = i;
2201     }
2202     ailen[brow] = nrow;
2203   }
2204   A->same_nonzero = PETSC_FALSE;
2205   PetscFunctionReturn(0);
2206 }
2207 
2208 #undef __FUNCT__
2209 #define __FUNCT__ "MatILUFactor_SeqBAIJ"
2210 PetscErrorCode MatILUFactor_SeqBAIJ(Mat inA,IS row,IS col,const MatFactorInfo *info)
2211 {
2212   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)inA->data;
2213   Mat            outA;
2214   PetscErrorCode ierr;
2215   PetscBool      row_identity,col_identity;
2216 
2217   PetscFunctionBegin;
2218   if (info->levels != 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only levels = 0 supported for in-place ILU");
2219   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
2220   ierr = ISIdentity(col,&col_identity);CHKERRQ(ierr);
2221   if (!row_identity || !col_identity) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Row and column permutations must be identity for in-place ILU");
2222 
2223   outA            = inA;
2224   inA->factortype = MAT_FACTOR_LU;
2225 
2226   ierr = MatMarkDiagonal_SeqBAIJ(inA);CHKERRQ(ierr);
2227 
2228   ierr   = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
2229   ierr   = ISDestroy(&a->row);CHKERRQ(ierr);
2230   a->row = row;
2231   ierr   = PetscObjectReference((PetscObject)col);CHKERRQ(ierr);
2232   ierr   = ISDestroy(&a->col);CHKERRQ(ierr);
2233   a->col = col;
2234 
2235   /* Create the invert permutation so that it can be used in MatLUFactorNumeric() */
2236   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
2237   ierr = ISInvertPermutation(col,PETSC_DECIDE,&a->icol);CHKERRQ(ierr);
2238   ierr = PetscLogObjectParent((PetscObject)inA,(PetscObject)a->icol);CHKERRQ(ierr);
2239 
2240   ierr = MatSeqBAIJSetNumericFactorization_inplace(inA,(PetscBool)(row_identity && col_identity));CHKERRQ(ierr);
2241   if (!a->solve_work) {
2242     ierr = PetscMalloc((inA->rmap->N+inA->rmap->bs)*sizeof(PetscScalar),&a->solve_work);CHKERRQ(ierr);
2243     ierr = PetscLogObjectMemory((PetscObject)inA,(inA->rmap->N+inA->rmap->bs)*sizeof(PetscScalar));CHKERRQ(ierr);
2244   }
2245   ierr = MatLUFactorNumeric(outA,inA,info);CHKERRQ(ierr);
2246   PetscFunctionReturn(0);
2247 }
2248 
2249 #undef __FUNCT__
2250 #define __FUNCT__ "MatSeqBAIJSetColumnIndices_SeqBAIJ"
2251 PetscErrorCode  MatSeqBAIJSetColumnIndices_SeqBAIJ(Mat mat,PetscInt *indices)
2252 {
2253   Mat_SeqBAIJ *baij = (Mat_SeqBAIJ*)mat->data;
2254   PetscInt    i,nz,mbs;
2255 
2256   PetscFunctionBegin;
2257   nz  = baij->maxnz;
2258   mbs = baij->mbs;
2259   for (i=0; i<nz; i++) {
2260     baij->j[i] = indices[i];
2261   }
2262   baij->nz = nz;
2263   for (i=0; i<mbs; i++) {
2264     baij->ilen[i] = baij->imax[i];
2265   }
2266   PetscFunctionReturn(0);
2267 }
2268 
2269 #undef __FUNCT__
2270 #define __FUNCT__ "MatSeqBAIJSetColumnIndices"
2271 /*@
2272     MatSeqBAIJSetColumnIndices - Set the column indices for all the rows
2273        in the matrix.
2274 
2275   Input Parameters:
2276 +  mat - the SeqBAIJ matrix
2277 -  indices - the column indices
2278 
2279   Level: advanced
2280 
2281   Notes:
2282     This can be called if you have precomputed the nonzero structure of the
2283   matrix and want to provide it to the matrix object to improve the performance
2284   of the MatSetValues() operation.
2285 
2286     You MUST have set the correct numbers of nonzeros per row in the call to
2287   MatCreateSeqBAIJ(), and the columns indices MUST be sorted.
2288 
2289     MUST be called before any calls to MatSetValues();
2290 
2291 @*/
2292 PetscErrorCode  MatSeqBAIJSetColumnIndices(Mat mat,PetscInt *indices)
2293 {
2294   PetscErrorCode ierr;
2295 
2296   PetscFunctionBegin;
2297   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2298   PetscValidPointer(indices,2);
2299   ierr = PetscUseMethod(mat,"MatSeqBAIJSetColumnIndices_C",(Mat,PetscInt*),(mat,indices));CHKERRQ(ierr);
2300   PetscFunctionReturn(0);
2301 }
2302 
2303 #undef __FUNCT__
2304 #define __FUNCT__ "MatGetRowMaxAbs_SeqBAIJ"
2305 PetscErrorCode MatGetRowMaxAbs_SeqBAIJ(Mat A,Vec v,PetscInt idx[])
2306 {
2307   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2308   PetscErrorCode ierr;
2309   PetscInt       i,j,n,row,bs,*ai,*aj,mbs;
2310   PetscReal      atmp;
2311   PetscScalar    *x,zero = 0.0;
2312   MatScalar      *aa;
2313   PetscInt       ncols,brow,krow,kcol;
2314 
2315   PetscFunctionBegin;
2316   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2317   bs  = A->rmap->bs;
2318   aa  = a->a;
2319   ai  = a->i;
2320   aj  = a->j;
2321   mbs = a->mbs;
2322 
2323   ierr = VecSet(v,zero);CHKERRQ(ierr);
2324   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2325   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2326   if (n != A->rmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2327   for (i=0; i<mbs; i++) {
2328     ncols = ai[1] - ai[0]; ai++;
2329     brow  = bs*i;
2330     for (j=0; j<ncols; j++) {
2331       for (kcol=0; kcol<bs; kcol++) {
2332         for (krow=0; krow<bs; krow++) {
2333           atmp = PetscAbsScalar(*aa);aa++;
2334           row  = brow + krow;   /* row index */
2335           /* printf("val[%d,%d]: %G\n",row,bcol+kcol,atmp); */
2336           if (PetscAbsScalar(x[row]) < atmp) {x[row] = atmp; if (idx) idx[row] = bs*(*aj) + kcol;}
2337         }
2338       }
2339       aj++;
2340     }
2341   }
2342   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2343   PetscFunctionReturn(0);
2344 }
2345 
2346 #undef __FUNCT__
2347 #define __FUNCT__ "MatCopy_SeqBAIJ"
2348 PetscErrorCode MatCopy_SeqBAIJ(Mat A,Mat B,MatStructure str)
2349 {
2350   PetscErrorCode ierr;
2351 
2352   PetscFunctionBegin;
2353   /* If the two matrices have the same copy implementation, use fast copy. */
2354   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
2355     Mat_SeqBAIJ *a  = (Mat_SeqBAIJ*)A->data;
2356     Mat_SeqBAIJ *b  = (Mat_SeqBAIJ*)B->data;
2357     PetscInt    ambs=a->mbs,bmbs=b->mbs,abs=A->rmap->bs,bbs=B->rmap->bs,bs2=abs*abs;
2358 
2359     if (a->i[ambs] != b->i[bmbs]) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Number of nonzero blocks in matrices A %D and B %D are different",a->i[ambs],b->i[bmbs]);
2360     if (abs != bbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Block size A %D and B %D are different",abs,bbs);
2361     ierr = PetscMemcpy(b->a,a->a,(bs2*a->i[ambs])*sizeof(PetscScalar));CHKERRQ(ierr);
2362   } else {
2363     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
2364   }
2365   PetscFunctionReturn(0);
2366 }
2367 
2368 #undef __FUNCT__
2369 #define __FUNCT__ "MatSetUp_SeqBAIJ"
2370 PetscErrorCode MatSetUp_SeqBAIJ(Mat A)
2371 {
2372   PetscErrorCode ierr;
2373 
2374   PetscFunctionBegin;
2375   ierr =  MatSeqBAIJSetPreallocation_SeqBAIJ(A,A->rmap->bs,PETSC_DEFAULT,0);CHKERRQ(ierr);
2376   PetscFunctionReturn(0);
2377 }
2378 
2379 #undef __FUNCT__
2380 #define __FUNCT__ "MatSeqBAIJGetArray_SeqBAIJ"
2381 PetscErrorCode MatSeqBAIJGetArray_SeqBAIJ(Mat A,PetscScalar *array[])
2382 {
2383   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
2384 
2385   PetscFunctionBegin;
2386   *array = a->a;
2387   PetscFunctionReturn(0);
2388 }
2389 
2390 #undef __FUNCT__
2391 #define __FUNCT__ "MatSeqBAIJRestoreArray_SeqBAIJ"
2392 PetscErrorCode MatSeqBAIJRestoreArray_SeqBAIJ(Mat A,PetscScalar *array[])
2393 {
2394   PetscFunctionBegin;
2395   PetscFunctionReturn(0);
2396 }
2397 
2398 #undef __FUNCT__
2399 #define __FUNCT__ "MatAXPY_SeqBAIJ"
2400 PetscErrorCode MatAXPY_SeqBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
2401 {
2402   Mat_SeqBAIJ    *x = (Mat_SeqBAIJ*)X->data,*y = (Mat_SeqBAIJ*)Y->data;
2403   PetscErrorCode ierr;
2404   PetscInt       i,bs=Y->rmap->bs,j,bs2=bs*bs;
2405   PetscBLASInt   one=1;
2406 
2407   PetscFunctionBegin;
2408   if (str == SAME_NONZERO_PATTERN) {
2409     PetscScalar  alpha = a;
2410     PetscBLASInt bnz;
2411     ierr = PetscBLASIntCast(x->nz*bs2,&bnz);CHKERRQ(ierr);
2412     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
2413   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
2414     if (y->xtoy && y->XtoY != X) {
2415       ierr = PetscFree(y->xtoy);CHKERRQ(ierr);
2416       ierr = MatDestroy(&y->XtoY);CHKERRQ(ierr);
2417     }
2418     if (!y->xtoy) { /* get xtoy */
2419       ierr    = MatAXPYGetxtoy_Private(x->mbs,x->i,x->j,NULL, y->i,y->j,NULL, &y->xtoy);CHKERRQ(ierr);
2420       y->XtoY = X;
2421       ierr    = PetscObjectReference((PetscObject)X);CHKERRQ(ierr);
2422     }
2423     for (i=0; i<x->nz; i++) {
2424       j = 0;
2425       while (j < bs2) {
2426         y->a[bs2*y->xtoy[i]+j] += a*(x->a[bs2*i+j]);
2427         j++;
2428       }
2429     }
2430     ierr = PetscInfo3(Y,"ratio of nnz(X)/nnz(Y): %D/%D = %G\n",bs2*x->nz,bs2*y->nz,(PetscReal)(bs2*x->nz)/(bs2*y->nz));CHKERRQ(ierr);
2431   } else {
2432     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
2433   }
2434   PetscFunctionReturn(0);
2435 }
2436 
2437 #undef __FUNCT__
2438 #define __FUNCT__ "MatRealPart_SeqBAIJ"
2439 PetscErrorCode MatRealPart_SeqBAIJ(Mat A)
2440 {
2441   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
2442   PetscInt    i,nz = a->bs2*a->i[a->mbs];
2443   MatScalar   *aa = a->a;
2444 
2445   PetscFunctionBegin;
2446   for (i=0; i<nz; i++) aa[i] = PetscRealPart(aa[i]);
2447   PetscFunctionReturn(0);
2448 }
2449 
2450 #undef __FUNCT__
2451 #define __FUNCT__ "MatImaginaryPart_SeqBAIJ"
2452 PetscErrorCode MatImaginaryPart_SeqBAIJ(Mat A)
2453 {
2454   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
2455   PetscInt    i,nz = a->bs2*a->i[a->mbs];
2456   MatScalar   *aa = a->a;
2457 
2458   PetscFunctionBegin;
2459   for (i=0; i<nz; i++) aa[i] = PetscImaginaryPart(aa[i]);
2460   PetscFunctionReturn(0);
2461 }
2462 
2463 #undef __FUNCT__
2464 #define __FUNCT__ "MatGetColumnIJ_SeqBAIJ"
2465 /*
2466     Code almost idential to MatGetColumnIJ_SeqAIJ() should share common code
2467 */
2468 PetscErrorCode MatGetColumnIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
2469 {
2470   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2471   PetscErrorCode ierr;
2472   PetscInt       bs = A->rmap->bs,i,*collengths,*cia,*cja,n = A->cmap->n/bs,m = A->rmap->n/bs;
2473   PetscInt       nz = a->i[m],row,*jj,mr,col;
2474 
2475   PetscFunctionBegin;
2476   *nn = n;
2477   if (!ia) PetscFunctionReturn(0);
2478   if (symmetric) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not for BAIJ matrices");
2479   else {
2480     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&collengths);CHKERRQ(ierr);
2481     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
2482     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&cia);CHKERRQ(ierr);
2483     ierr = PetscMalloc((nz+1)*sizeof(PetscInt),&cja);CHKERRQ(ierr);
2484     jj   = a->j;
2485     for (i=0; i<nz; i++) {
2486       collengths[jj[i]]++;
2487     }
2488     cia[0] = oshift;
2489     for (i=0; i<n; i++) {
2490       cia[i+1] = cia[i] + collengths[i];
2491     }
2492     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
2493     jj   = a->j;
2494     for (row=0; row<m; row++) {
2495       mr = a->i[row+1] - a->i[row];
2496       for (i=0; i<mr; i++) {
2497         col = *jj++;
2498 
2499         cja[cia[col] + collengths[col]++ - oshift] = row + oshift;
2500       }
2501     }
2502     ierr = PetscFree(collengths);CHKERRQ(ierr);
2503     *ia  = cia; *ja = cja;
2504   }
2505   PetscFunctionReturn(0);
2506 }
2507 
2508 #undef __FUNCT__
2509 #define __FUNCT__ "MatRestoreColumnIJ_SeqBAIJ"
2510 PetscErrorCode MatRestoreColumnIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
2511 {
2512   PetscErrorCode ierr;
2513 
2514   PetscFunctionBegin;
2515   if (!ia) PetscFunctionReturn(0);
2516   ierr = PetscFree(*ia);CHKERRQ(ierr);
2517   ierr = PetscFree(*ja);CHKERRQ(ierr);
2518   PetscFunctionReturn(0);
2519 }
2520 
2521 /*
2522  MatGetColumnIJ_SeqBAIJ_Color() and MatRestoreColumnIJ_SeqBAIJ_Color() are customized from
2523  MatGetColumnIJ_SeqBAIJ() and MatRestoreColumnIJ_SeqBAIJ() by adding an output
2524  spidx[], index of a->a, to be used in MatTransposeColoringCreate() and MatFDColoringCreate()
2525  */
2526 #undef __FUNCT__
2527 #define __FUNCT__ "MatGetColumnIJ_SeqBAIJ_Color"
2528 PetscErrorCode MatGetColumnIJ_SeqBAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
2529 {
2530   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2531   PetscErrorCode ierr;
2532   PetscInt       i,*collengths,*cia,*cja,n=a->nbs,m=a->mbs;
2533   PetscInt       nz = a->i[m],row,*jj,mr,col;
2534   PetscInt       *cspidx;
2535 
2536   PetscFunctionBegin;
2537   *nn = n;
2538   if (!ia) PetscFunctionReturn(0);
2539   if (symmetric) {
2540     SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"MatGetColumnIJ_SeqAIJ_Color() not supported for the case symmetric");
2541     ierr = MatToSymmetricIJ_SeqAIJ(A->rmap->n,a->i,a->j,0,oshift,(PetscInt**)ia,(PetscInt**)ja);CHKERRQ(ierr);
2542   } else {
2543     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&collengths);CHKERRQ(ierr);
2544     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
2545     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&cia);CHKERRQ(ierr);
2546     ierr = PetscMalloc((nz+1)*sizeof(PetscInt),&cja);CHKERRQ(ierr);
2547     ierr = PetscMalloc((nz+1)*sizeof(PetscInt),&cspidx);CHKERRQ(ierr);
2548     jj   = a->j;
2549     for (i=0; i<nz; i++) {
2550       collengths[jj[i]]++;
2551     }
2552     cia[0] = oshift;
2553     for (i=0; i<n; i++) {
2554       cia[i+1] = cia[i] + collengths[i];
2555     }
2556     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
2557     jj   = a->j;
2558     for (row=0; row<m; row++) {
2559       mr = a->i[row+1] - a->i[row];
2560       for (i=0; i<mr; i++) {
2561         col = *jj++;
2562         cspidx[cia[col] + collengths[col] - oshift] = a->i[row] + i; /* index of a->j */
2563         cja[cia[col] + collengths[col]++ - oshift]  = row + oshift;
2564       }
2565     }
2566     ierr   = PetscFree(collengths);CHKERRQ(ierr);
2567     *ia    = cia; *ja = cja;
2568     *spidx = cspidx;
2569   }
2570   PetscFunctionReturn(0);
2571 }
2572 
2573 #undef __FUNCT__
2574 #define __FUNCT__ "MatRestoreColumnIJ_SeqBAIJ_Color"
2575 PetscErrorCode MatRestoreColumnIJ_SeqBAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
2576 {
2577   PetscErrorCode ierr;
2578 
2579   PetscFunctionBegin;
2580   ierr = MatRestoreColumnIJ_SeqBAIJ(A,oshift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
2581   ierr = PetscFree(*spidx);CHKERRQ(ierr);
2582   PetscFunctionReturn(0);
2583 }
2584 
2585 /* -------------------------------------------------------------------*/
2586 static struct _MatOps MatOps_Values = {MatSetValues_SeqBAIJ,
2587                                        MatGetRow_SeqBAIJ,
2588                                        MatRestoreRow_SeqBAIJ,
2589                                        MatMult_SeqBAIJ_N,
2590                                /* 4*/  MatMultAdd_SeqBAIJ_N,
2591                                        MatMultTranspose_SeqBAIJ,
2592                                        MatMultTransposeAdd_SeqBAIJ,
2593                                        0,
2594                                        0,
2595                                        0,
2596                                /* 10*/ 0,
2597                                        MatLUFactor_SeqBAIJ,
2598                                        0,
2599                                        0,
2600                                        MatTranspose_SeqBAIJ,
2601                                /* 15*/ MatGetInfo_SeqBAIJ,
2602                                        MatEqual_SeqBAIJ,
2603                                        MatGetDiagonal_SeqBAIJ,
2604                                        MatDiagonalScale_SeqBAIJ,
2605                                        MatNorm_SeqBAIJ,
2606                                /* 20*/ 0,
2607                                        MatAssemblyEnd_SeqBAIJ,
2608                                        MatSetOption_SeqBAIJ,
2609                                        MatZeroEntries_SeqBAIJ,
2610                                /* 24*/ MatZeroRows_SeqBAIJ,
2611                                        0,
2612                                        0,
2613                                        0,
2614                                        0,
2615                                /* 29*/ MatSetUp_SeqBAIJ,
2616                                        0,
2617                                        0,
2618                                        0,
2619                                        0,
2620                                /* 34*/ MatDuplicate_SeqBAIJ,
2621                                        0,
2622                                        0,
2623                                        MatILUFactor_SeqBAIJ,
2624                                        0,
2625                                /* 39*/ MatAXPY_SeqBAIJ,
2626                                        MatGetSubMatrices_SeqBAIJ,
2627                                        MatIncreaseOverlap_SeqBAIJ,
2628                                        MatGetValues_SeqBAIJ,
2629                                        MatCopy_SeqBAIJ,
2630                                /* 44*/ 0,
2631                                        MatScale_SeqBAIJ,
2632                                        0,
2633                                        0,
2634                                        MatZeroRowsColumns_SeqBAIJ,
2635                                /* 49*/ 0,
2636                                        MatGetRowIJ_SeqBAIJ,
2637                                        MatRestoreRowIJ_SeqBAIJ,
2638                                        MatGetColumnIJ_SeqBAIJ,
2639                                        MatRestoreColumnIJ_SeqBAIJ,
2640                                /* 54*/ MatFDColoringCreate_SeqXAIJ,
2641                                        0,
2642                                        0,
2643                                        0,
2644                                        MatSetValuesBlocked_SeqBAIJ,
2645                                /* 59*/ MatGetSubMatrix_SeqBAIJ,
2646                                        MatDestroy_SeqBAIJ,
2647                                        MatView_SeqBAIJ,
2648                                        0,
2649                                        0,
2650                                /* 64*/ 0,
2651                                        0,
2652                                        0,
2653                                        0,
2654                                        0,
2655                                /* 69*/ MatGetRowMaxAbs_SeqBAIJ,
2656                                        0,
2657                                        MatConvert_Basic,
2658                                        0,
2659                                        0,
2660                                /* 74*/ 0,
2661                                        MatFDColoringApply_BAIJ,
2662                                        0,
2663                                        0,
2664                                        0,
2665                                /* 79*/ 0,
2666                                        0,
2667                                        0,
2668                                        0,
2669                                        MatLoad_SeqBAIJ,
2670                                /* 84*/ 0,
2671                                        0,
2672                                        0,
2673                                        0,
2674                                        0,
2675                                /* 89*/ 0,
2676                                        0,
2677                                        0,
2678                                        0,
2679                                        0,
2680                                /* 94*/ 0,
2681                                        0,
2682                                        0,
2683                                        0,
2684                                        0,
2685                                /* 99*/ 0,
2686                                        0,
2687                                        0,
2688                                        0,
2689                                        0,
2690                                /*104*/ 0,
2691                                        MatRealPart_SeqBAIJ,
2692                                        MatImaginaryPart_SeqBAIJ,
2693                                        0,
2694                                        0,
2695                                /*109*/ 0,
2696                                        0,
2697                                        0,
2698                                        0,
2699                                        MatMissingDiagonal_SeqBAIJ,
2700                                /*114*/ 0,
2701                                        0,
2702                                        0,
2703                                        0,
2704                                        0,
2705                                /*119*/ 0,
2706                                        0,
2707                                        MatMultHermitianTranspose_SeqBAIJ,
2708                                        MatMultHermitianTransposeAdd_SeqBAIJ,
2709                                        0,
2710                                /*124*/ 0,
2711                                        0,
2712                                        MatInvertBlockDiagonal_SeqBAIJ,
2713                                        0,
2714                                        0,
2715                                /*129*/ 0,
2716                                        0,
2717                                        0,
2718                                        0,
2719                                        0,
2720                                /*134*/ 0,
2721                                        0,
2722                                        0,
2723                                        0,
2724                                        0,
2725                                /*139*/ 0,
2726                                        0
2727 };
2728 
2729 #undef __FUNCT__
2730 #define __FUNCT__ "MatStoreValues_SeqBAIJ"
2731 PetscErrorCode  MatStoreValues_SeqBAIJ(Mat mat)
2732 {
2733   Mat_SeqBAIJ    *aij = (Mat_SeqBAIJ*)mat->data;
2734   PetscInt       nz   = aij->i[aij->mbs]*aij->bs2;
2735   PetscErrorCode ierr;
2736 
2737   PetscFunctionBegin;
2738   if (aij->nonew != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
2739 
2740   /* allocate space for values if not already there */
2741   if (!aij->saved_values) {
2742     ierr = PetscMalloc((nz+1)*sizeof(PetscScalar),&aij->saved_values);CHKERRQ(ierr);
2743     ierr = PetscLogObjectMemory((PetscObject)mat,(nz+1)*sizeof(PetscScalar));CHKERRQ(ierr);
2744   }
2745 
2746   /* copy values over */
2747   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
2748   PetscFunctionReturn(0);
2749 }
2750 
2751 #undef __FUNCT__
2752 #define __FUNCT__ "MatRetrieveValues_SeqBAIJ"
2753 PetscErrorCode  MatRetrieveValues_SeqBAIJ(Mat mat)
2754 {
2755   Mat_SeqBAIJ    *aij = (Mat_SeqBAIJ*)mat->data;
2756   PetscErrorCode ierr;
2757   PetscInt       nz = aij->i[aij->mbs]*aij->bs2;
2758 
2759   PetscFunctionBegin;
2760   if (aij->nonew != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
2761   if (!aij->saved_values) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
2762 
2763   /* copy values over */
2764   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
2765   PetscFunctionReturn(0);
2766 }
2767 
2768 PETSC_EXTERN PetscErrorCode MatConvert_SeqBAIJ_SeqAIJ(Mat, MatType,MatReuse,Mat*);
2769 PETSC_EXTERN PetscErrorCode MatConvert_SeqBAIJ_SeqSBAIJ(Mat, MatType,MatReuse,Mat*);
2770 
2771 #undef __FUNCT__
2772 #define __FUNCT__ "MatSeqBAIJSetPreallocation_SeqBAIJ"
2773 PetscErrorCode  MatSeqBAIJSetPreallocation_SeqBAIJ(Mat B,PetscInt bs,PetscInt nz,PetscInt *nnz)
2774 {
2775   Mat_SeqBAIJ    *b;
2776   PetscErrorCode ierr;
2777   PetscInt       i,mbs,nbs,bs2;
2778   PetscBool      flg,skipallocation = PETSC_FALSE,realalloc = PETSC_FALSE;
2779 
2780   PetscFunctionBegin;
2781   if (nz >= 0 || nnz) realalloc = PETSC_TRUE;
2782   if (nz == MAT_SKIP_ALLOCATION) {
2783     skipallocation = PETSC_TRUE;
2784     nz             = 0;
2785   }
2786 
2787   ierr = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
2788   ierr = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
2789   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
2790   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
2791   ierr = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
2792 
2793   B->preallocated = PETSC_TRUE;
2794 
2795   mbs = B->rmap->n/bs;
2796   nbs = B->cmap->n/bs;
2797   bs2 = bs*bs;
2798 
2799   if (mbs*bs!=B->rmap->n || nbs*bs!=B->cmap->n) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Number rows %D, cols %D must be divisible by blocksize %D",B->rmap->N,B->cmap->n,bs);
2800 
2801   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
2802   if (nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %D",nz);
2803   if (nnz) {
2804     for (i=0; i<mbs; i++) {
2805       if (nnz[i] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nnz cannot be less than 0: local row %D value %D",i,nnz[i]);
2806       if (nnz[i] > nbs) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nnz cannot be greater than block row length: local row %D value %D rowlength %D",i,nnz[i],nbs);
2807     }
2808   }
2809 
2810   b    = (Mat_SeqBAIJ*)B->data;
2811   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)B),NULL,"Optimize options for SEQBAIJ matrix 2 ","Mat");CHKERRQ(ierr);
2812   ierr = PetscOptionsBool("-mat_no_unroll","Do not optimize for block size (slow)",NULL,PETSC_FALSE,&flg,NULL);CHKERRQ(ierr);
2813   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2814 
2815   if (!flg) {
2816     switch (bs) {
2817     case 1:
2818       B->ops->mult    = MatMult_SeqBAIJ_1;
2819       B->ops->multadd = MatMultAdd_SeqBAIJ_1;
2820       break;
2821     case 2:
2822       B->ops->mult    = MatMult_SeqBAIJ_2;
2823       B->ops->multadd = MatMultAdd_SeqBAIJ_2;
2824       break;
2825     case 3:
2826       B->ops->mult    = MatMult_SeqBAIJ_3;
2827       B->ops->multadd = MatMultAdd_SeqBAIJ_3;
2828       break;
2829     case 4:
2830       B->ops->mult    = MatMult_SeqBAIJ_4;
2831       B->ops->multadd = MatMultAdd_SeqBAIJ_4;
2832       break;
2833     case 5:
2834       B->ops->mult    = MatMult_SeqBAIJ_5;
2835       B->ops->multadd = MatMultAdd_SeqBAIJ_5;
2836       break;
2837     case 6:
2838       B->ops->mult    = MatMult_SeqBAIJ_6;
2839       B->ops->multadd = MatMultAdd_SeqBAIJ_6;
2840       break;
2841     case 7:
2842       B->ops->mult    = MatMult_SeqBAIJ_7;
2843       B->ops->multadd = MatMultAdd_SeqBAIJ_7;
2844       break;
2845     case 15:
2846       B->ops->mult    = MatMult_SeqBAIJ_15_ver1;
2847       B->ops->multadd = MatMultAdd_SeqBAIJ_N;
2848       break;
2849     default:
2850       B->ops->mult    = MatMult_SeqBAIJ_N;
2851       B->ops->multadd = MatMultAdd_SeqBAIJ_N;
2852       break;
2853     }
2854   }
2855   B->ops->sor = MatSOR_SeqBAIJ;
2856   b->mbs = mbs;
2857   b->nbs = nbs;
2858   if (!skipallocation) {
2859     if (!b->imax) {
2860       ierr = PetscMalloc2(mbs,PetscInt,&b->imax,mbs,PetscInt,&b->ilen);CHKERRQ(ierr);
2861       ierr = PetscLogObjectMemory((PetscObject)B,2*mbs*sizeof(PetscInt));CHKERRQ(ierr);
2862 
2863       b->free_imax_ilen = PETSC_TRUE;
2864     }
2865     /* b->ilen will count nonzeros in each block row so far. */
2866     for (i=0; i<mbs; i++) b->ilen[i] = 0;
2867     if (!nnz) {
2868       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
2869       else if (nz < 0) nz = 1;
2870       for (i=0; i<mbs; i++) b->imax[i] = nz;
2871       nz = nz*mbs;
2872     } else {
2873       nz = 0;
2874       for (i=0; i<mbs; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
2875     }
2876 
2877     /* allocate the matrix space */
2878     ierr = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
2879     ierr = PetscMalloc3(bs2*nz,PetscScalar,&b->a,nz,PetscInt,&b->j,B->rmap->N+1,PetscInt,&b->i);CHKERRQ(ierr);
2880     ierr = PetscLogObjectMemory((PetscObject)B,(B->rmap->N+1)*sizeof(PetscInt)+nz*(bs2*sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
2881     ierr = PetscMemzero(b->a,nz*bs2*sizeof(MatScalar));CHKERRQ(ierr);
2882     ierr = PetscMemzero(b->j,nz*sizeof(PetscInt));CHKERRQ(ierr);
2883 
2884     b->singlemalloc = PETSC_TRUE;
2885     b->i[0]         = 0;
2886     for (i=1; i<mbs+1; i++) {
2887       b->i[i] = b->i[i-1] + b->imax[i-1];
2888     }
2889     b->free_a  = PETSC_TRUE;
2890     b->free_ij = PETSC_TRUE;
2891   } else {
2892     b->free_a  = PETSC_FALSE;
2893     b->free_ij = PETSC_FALSE;
2894   }
2895 
2896   b->bs2              = bs2;
2897   b->mbs              = mbs;
2898   b->nz               = 0;
2899   b->maxnz            = nz;
2900   B->info.nz_unneeded = (PetscReal)b->maxnz*bs2;
2901   if (realalloc) {ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);}
2902   PetscFunctionReturn(0);
2903 }
2904 
2905 #undef __FUNCT__
2906 #define __FUNCT__ "MatSeqBAIJSetPreallocationCSR_SeqBAIJ"
2907 PetscErrorCode MatSeqBAIJSetPreallocationCSR_SeqBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
2908 {
2909   PetscInt       i,m,nz,nz_max=0,*nnz;
2910   PetscScalar    *values=0;
2911   PetscErrorCode ierr;
2912 
2913   PetscFunctionBegin;
2914   if (bs < 1) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Invalid block size specified, must be positive but it is %D",bs);
2915   ierr = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
2916   ierr = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
2917   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
2918   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
2919   ierr = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
2920   m    = B->rmap->n/bs;
2921 
2922   if (ii[0] != 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "ii[0] must be 0 but it is %D",ii[0]);
2923   ierr = PetscMalloc((m+1) * sizeof(PetscInt), &nnz);CHKERRQ(ierr);
2924   for (i=0; i<m; i++) {
2925     nz = ii[i+1]- ii[i];
2926     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Local row %D has a negative number of columns %D",i,nz);
2927     nz_max = PetscMax(nz_max, nz);
2928     nnz[i] = nz;
2929   }
2930   ierr = MatSeqBAIJSetPreallocation(B,bs,0,nnz);CHKERRQ(ierr);
2931   ierr = PetscFree(nnz);CHKERRQ(ierr);
2932 
2933   values = (PetscScalar*)V;
2934   if (!values) {
2935     ierr = PetscMalloc(bs*bs*(nz_max+1)*sizeof(PetscScalar),&values);CHKERRQ(ierr);
2936     ierr = PetscMemzero(values,bs*bs*nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
2937   }
2938   for (i=0; i<m; i++) {
2939     PetscInt          ncols  = ii[i+1] - ii[i];
2940     const PetscInt    *icols = jj + ii[i];
2941     const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
2942     ierr = MatSetValuesBlocked_SeqBAIJ(B,1,&i,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
2943   }
2944   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
2945   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2946   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2947   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
2948   PetscFunctionReturn(0);
2949 }
2950 
2951 PETSC_EXTERN PetscErrorCode MatGetFactor_seqbaij_petsc(Mat,MatFactorType,Mat*);
2952 PETSC_EXTERN PetscErrorCode MatGetFactor_seqbaij_bstrm(Mat,MatFactorType,Mat*);
2953 #if defined(PETSC_HAVE_MUMPS)
2954 PETSC_EXTERN PetscErrorCode MatGetFactor_baij_mumps(Mat,MatFactorType,Mat*);
2955 #endif
2956 extern PetscErrorCode  MatGetFactorAvailable_seqbaij_petsc(Mat,MatFactorType,PetscBool*);
2957 
2958 /*MC
2959    MATSEQBAIJ - MATSEQBAIJ = "seqbaij" - A matrix type to be used for sequential block sparse matrices, based on
2960    block sparse compressed row format.
2961 
2962    Options Database Keys:
2963 . -mat_type seqbaij - sets the matrix type to "seqbaij" during a call to MatSetFromOptions()
2964 
2965   Level: beginner
2966 
2967 .seealso: MatCreateSeqBAIJ()
2968 M*/
2969 
2970 PETSC_EXTERN PetscErrorCode MatConvert_SeqBAIJ_SeqBSTRM(Mat, MatType,MatReuse,Mat*);
2971 
2972 #undef __FUNCT__
2973 #define __FUNCT__ "MatCreate_SeqBAIJ"
2974 PETSC_EXTERN PetscErrorCode MatCreate_SeqBAIJ(Mat B)
2975 {
2976   PetscErrorCode ierr;
2977   PetscMPIInt    size;
2978   Mat_SeqBAIJ    *b;
2979 
2980   PetscFunctionBegin;
2981   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&size);CHKERRQ(ierr);
2982   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Comm must be of size 1");
2983 
2984   ierr    = PetscNewLog(B,Mat_SeqBAIJ,&b);CHKERRQ(ierr);
2985   B->data = (void*)b;
2986   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
2987 
2988   b->row          = 0;
2989   b->col          = 0;
2990   b->icol         = 0;
2991   b->reallocs     = 0;
2992   b->saved_values = 0;
2993 
2994   b->roworiented        = PETSC_TRUE;
2995   b->nonew              = 0;
2996   b->diag               = 0;
2997   b->solve_work         = 0;
2998   b->mult_work          = 0;
2999   B->spptr              = 0;
3000   B->info.nz_unneeded   = (PetscReal)b->maxnz*b->bs2;
3001   b->keepnonzeropattern = PETSC_FALSE;
3002   b->xtoy               = 0;
3003   b->XtoY               = 0;
3004   B->same_nonzero       = PETSC_FALSE;
3005 
3006   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactorAvailable_petsc_C",MatGetFactorAvailable_seqbaij_petsc);CHKERRQ(ierr);
3007   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_petsc_C",MatGetFactor_seqbaij_petsc);CHKERRQ(ierr);
3008   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_bstrm_C",MatGetFactor_seqbaij_bstrm);CHKERRQ(ierr);
3009 #if defined(PETSC_HAVE_MUMPS)
3010   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_mumps_C", MatGetFactor_baij_mumps);CHKERRQ(ierr);
3011 #endif
3012   ierr = PetscObjectComposeFunction((PetscObject)B,"MatInvertBlockDiagonal_C",MatInvertBlockDiagonal_SeqBAIJ);CHKERRQ(ierr);
3013   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_SeqBAIJ);CHKERRQ(ierr);
3014   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_SeqBAIJ);CHKERRQ(ierr);
3015   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqBAIJSetColumnIndices_C",MatSeqBAIJSetColumnIndices_SeqBAIJ);CHKERRQ(ierr);
3016   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqbaij_seqaij_C",MatConvert_SeqBAIJ_SeqAIJ);CHKERRQ(ierr);
3017   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqbaij_seqsbaij_C",MatConvert_SeqBAIJ_SeqSBAIJ);CHKERRQ(ierr);
3018   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqBAIJSetPreallocation_C",MatSeqBAIJSetPreallocation_SeqBAIJ);CHKERRQ(ierr);
3019   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqBAIJSetPreallocationCSR_C",MatSeqBAIJSetPreallocationCSR_SeqBAIJ);CHKERRQ(ierr);
3020   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqbaij_seqbstrm_C",MatConvert_SeqBAIJ_SeqBSTRM);CHKERRQ(ierr);
3021   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsTranspose_C",MatIsTranspose_SeqBAIJ);CHKERRQ(ierr);
3022   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQBAIJ);CHKERRQ(ierr);
3023   PetscFunctionReturn(0);
3024 }
3025 
3026 #undef __FUNCT__
3027 #define __FUNCT__ "MatDuplicateNoCreate_SeqBAIJ"
3028 PetscErrorCode MatDuplicateNoCreate_SeqBAIJ(Mat C,Mat A,MatDuplicateOption cpvalues,PetscBool mallocmatspace)
3029 {
3030   Mat_SeqBAIJ    *c = (Mat_SeqBAIJ*)C->data,*a = (Mat_SeqBAIJ*)A->data;
3031   PetscErrorCode ierr;
3032   PetscInt       i,mbs = a->mbs,nz = a->nz,bs2 = a->bs2;
3033 
3034   PetscFunctionBegin;
3035   if (a->i[mbs] != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Corrupt matrix");
3036 
3037   if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
3038     c->imax           = a->imax;
3039     c->ilen           = a->ilen;
3040     c->free_imax_ilen = PETSC_FALSE;
3041   } else {
3042     ierr = PetscMalloc2(mbs,PetscInt,&c->imax,mbs,PetscInt,&c->ilen);CHKERRQ(ierr);
3043     ierr = PetscLogObjectMemory((PetscObject)C,2*mbs*sizeof(PetscInt));CHKERRQ(ierr);
3044     for (i=0; i<mbs; i++) {
3045       c->imax[i] = a->imax[i];
3046       c->ilen[i] = a->ilen[i];
3047     }
3048     c->free_imax_ilen = PETSC_TRUE;
3049   }
3050 
3051   /* allocate the matrix space */
3052   if (mallocmatspace) {
3053     if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
3054       ierr = PetscMalloc(bs2*nz*sizeof(PetscScalar),&c->a);CHKERRQ(ierr);
3055       ierr = PetscLogObjectMemory((PetscObject)C,a->i[mbs]*bs2*sizeof(PetscScalar));CHKERRQ(ierr);
3056       ierr = PetscMemzero(c->a,bs2*nz*sizeof(PetscScalar));CHKERRQ(ierr);
3057 
3058       c->i            = a->i;
3059       c->j            = a->j;
3060       c->singlemalloc = PETSC_FALSE;
3061       c->free_a       = PETSC_TRUE;
3062       c->free_ij      = PETSC_FALSE;
3063       c->parent       = A;
3064       C->preallocated = PETSC_TRUE;
3065       C->assembled    = PETSC_TRUE;
3066 
3067       ierr = PetscObjectReference((PetscObject)A);CHKERRQ(ierr);
3068       ierr = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3069       ierr = MatSetOption(C,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3070     } else {
3071       ierr = PetscMalloc3(bs2*nz,PetscScalar,&c->a,nz,PetscInt,&c->j,mbs+1,PetscInt,&c->i);CHKERRQ(ierr);
3072       ierr = PetscLogObjectMemory((PetscObject)C,a->i[mbs]*(bs2*sizeof(PetscScalar)+sizeof(PetscInt))+(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
3073 
3074       c->singlemalloc = PETSC_TRUE;
3075       c->free_a       = PETSC_TRUE;
3076       c->free_ij      = PETSC_TRUE;
3077 
3078       ierr = PetscMemcpy(c->i,a->i,(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
3079       if (mbs > 0) {
3080         ierr = PetscMemcpy(c->j,a->j,nz*sizeof(PetscInt));CHKERRQ(ierr);
3081         if (cpvalues == MAT_COPY_VALUES) {
3082           ierr = PetscMemcpy(c->a,a->a,bs2*nz*sizeof(MatScalar));CHKERRQ(ierr);
3083         } else {
3084           ierr = PetscMemzero(c->a,bs2*nz*sizeof(MatScalar));CHKERRQ(ierr);
3085         }
3086       }
3087       C->preallocated = PETSC_TRUE;
3088       C->assembled    = PETSC_TRUE;
3089     }
3090   }
3091 
3092   c->roworiented = a->roworiented;
3093   c->nonew       = a->nonew;
3094 
3095   ierr = PetscLayoutReference(A->rmap,&C->rmap);CHKERRQ(ierr);
3096   ierr = PetscLayoutReference(A->cmap,&C->cmap);CHKERRQ(ierr);
3097 
3098   c->bs2         = a->bs2;
3099   c->mbs         = a->mbs;
3100   c->nbs         = a->nbs;
3101 
3102   if (a->diag) {
3103     if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
3104       c->diag      = a->diag;
3105       c->free_diag = PETSC_FALSE;
3106     } else {
3107       ierr = PetscMalloc((mbs+1)*sizeof(PetscInt),&c->diag);CHKERRQ(ierr);
3108       ierr = PetscLogObjectMemory((PetscObject)C,(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
3109       for (i=0; i<mbs; i++) c->diag[i] = a->diag[i];
3110       c->free_diag = PETSC_TRUE;
3111     }
3112   } else c->diag = 0;
3113 
3114   c->nz         = a->nz;
3115   c->maxnz      = a->nz;         /* Since we allocate exactly the right amount */
3116   c->solve_work = 0;
3117   c->mult_work  = 0;
3118 
3119   c->compressedrow.use   = a->compressedrow.use;
3120   c->compressedrow.nrows = a->compressedrow.nrows;
3121   c->compressedrow.check = a->compressedrow.check;
3122   if (a->compressedrow.use) {
3123     i    = a->compressedrow.nrows;
3124     ierr = PetscMalloc2(i+1,PetscInt,&c->compressedrow.i,i+1,PetscInt,&c->compressedrow.rindex);CHKERRQ(ierr);
3125     ierr = PetscLogObjectMemory((PetscObject)C,(2*i+1)*sizeof(PetscInt));CHKERRQ(ierr);
3126     ierr = PetscMemcpy(c->compressedrow.i,a->compressedrow.i,(i+1)*sizeof(PetscInt));CHKERRQ(ierr);
3127     ierr = PetscMemcpy(c->compressedrow.rindex,a->compressedrow.rindex,i*sizeof(PetscInt));CHKERRQ(ierr);
3128   } else {
3129     c->compressedrow.use    = PETSC_FALSE;
3130     c->compressedrow.i      = NULL;
3131     c->compressedrow.rindex = NULL;
3132   }
3133   C->same_nonzero = A->same_nonzero;
3134 
3135   ierr = PetscFunctionListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
3136   ierr = PetscMemcpy(C->ops,A->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
3137   PetscFunctionReturn(0);
3138 }
3139 
3140 #undef __FUNCT__
3141 #define __FUNCT__ "MatDuplicate_SeqBAIJ"
3142 PetscErrorCode MatDuplicate_SeqBAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
3143 {
3144   PetscErrorCode ierr;
3145 
3146   PetscFunctionBegin;
3147   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
3148   ierr = MatSetSizes(*B,A->rmap->N,A->cmap->n,A->rmap->N,A->cmap->n);CHKERRQ(ierr);
3149   ierr = MatSetType(*B,MATSEQBAIJ);CHKERRQ(ierr);
3150   ierr = MatDuplicateNoCreate_SeqBAIJ(*B,A,cpvalues,PETSC_TRUE);CHKERRQ(ierr);
3151   PetscFunctionReturn(0);
3152 }
3153 
3154 #undef __FUNCT__
3155 #define __FUNCT__ "MatLoad_SeqBAIJ"
3156 PetscErrorCode MatLoad_SeqBAIJ(Mat newmat,PetscViewer viewer)
3157 {
3158   Mat_SeqBAIJ    *a;
3159   PetscErrorCode ierr;
3160   PetscInt       i,nz,header[4],*rowlengths=0,M,N,bs=1;
3161   PetscInt       *mask,mbs,*jj,j,rowcount,nzcount,k,*browlengths,maskcount;
3162   PetscInt       kmax,jcount,block,idx,point,nzcountb,extra_rows,rows,cols;
3163   PetscInt       *masked,nmask,tmp,bs2,ishift;
3164   PetscMPIInt    size;
3165   int            fd;
3166   PetscScalar    *aa;
3167   MPI_Comm       comm;
3168 
3169   PetscFunctionBegin;
3170   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
3171   ierr = PetscOptionsBegin(comm,NULL,"Options for loading SEQBAIJ matrix","Mat");CHKERRQ(ierr);
3172   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
3173   ierr = PetscOptionsEnd();CHKERRQ(ierr);
3174   bs2  = bs*bs;
3175 
3176   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3177   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"view must have one processor");
3178   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
3179   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
3180   if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not Mat object");
3181   M = header[1]; N = header[2]; nz = header[3];
3182 
3183   if (header[3] < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as SeqBAIJ");
3184   if (M != N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Can only do square matrices");
3185 
3186   /*
3187      This code adds extra rows to make sure the number of rows is
3188     divisible by the blocksize
3189   */
3190   mbs        = M/bs;
3191   extra_rows = bs - M + bs*(mbs);
3192   if (extra_rows == bs) extra_rows = 0;
3193   else mbs++;
3194   if (extra_rows) {
3195     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
3196   }
3197 
3198   /* Set global sizes if not already set */
3199   if (newmat->rmap->n < 0 && newmat->rmap->N < 0 && newmat->cmap->n < 0 && newmat->cmap->N < 0) {
3200     ierr = MatSetSizes(newmat,PETSC_DECIDE,PETSC_DECIDE,M+extra_rows,N+extra_rows);CHKERRQ(ierr);
3201   } else { /* Check if the matrix global sizes are correct */
3202     ierr = MatGetSize(newmat,&rows,&cols);CHKERRQ(ierr);
3203     if (rows < 0 && cols < 0) { /* user might provide local size instead of global size */
3204       ierr = MatGetLocalSize(newmat,&rows,&cols);CHKERRQ(ierr);
3205     }
3206     if (M != rows ||  N != cols) SETERRQ4(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix in file of different length (%d, %d) than the input matrix (%d, %d)",M,N,rows,cols);
3207   }
3208 
3209   /* read in row lengths */
3210   ierr = PetscMalloc((M+extra_rows)*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
3211   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
3212   for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
3213 
3214   /* read in column indices */
3215   ierr = PetscMalloc((nz+extra_rows)*sizeof(PetscInt),&jj);CHKERRQ(ierr);
3216   ierr = PetscBinaryRead(fd,jj,nz,PETSC_INT);CHKERRQ(ierr);
3217   for (i=0; i<extra_rows; i++) jj[nz+i] = M+i;
3218 
3219   /* loop over row lengths determining block row lengths */
3220   ierr     = PetscMalloc(mbs*sizeof(PetscInt),&browlengths);CHKERRQ(ierr);
3221   ierr     = PetscMemzero(browlengths,mbs*sizeof(PetscInt));CHKERRQ(ierr);
3222   ierr     = PetscMalloc2(mbs,PetscInt,&mask,mbs,PetscInt,&masked);CHKERRQ(ierr);
3223   ierr     = PetscMemzero(mask,mbs*sizeof(PetscInt));CHKERRQ(ierr);
3224   rowcount = 0;
3225   nzcount  = 0;
3226   for (i=0; i<mbs; i++) {
3227     nmask = 0;
3228     for (j=0; j<bs; j++) {
3229       kmax = rowlengths[rowcount];
3230       for (k=0; k<kmax; k++) {
3231         tmp = jj[nzcount++]/bs;
3232         if (!mask[tmp]) {masked[nmask++] = tmp; mask[tmp] = 1;}
3233       }
3234       rowcount++;
3235     }
3236     browlengths[i] += nmask;
3237     /* zero out the mask elements we set */
3238     for (j=0; j<nmask; j++) mask[masked[j]] = 0;
3239   }
3240 
3241   /* Do preallocation  */
3242   ierr = MatSeqBAIJSetPreallocation_SeqBAIJ(newmat,bs,0,browlengths);CHKERRQ(ierr);
3243   a    = (Mat_SeqBAIJ*)newmat->data;
3244 
3245   /* set matrix "i" values */
3246   a->i[0] = 0;
3247   for (i=1; i<= mbs; i++) {
3248     a->i[i]      = a->i[i-1] + browlengths[i-1];
3249     a->ilen[i-1] = browlengths[i-1];
3250   }
3251   a->nz = 0;
3252   for (i=0; i<mbs; i++) a->nz += browlengths[i];
3253 
3254   /* read in nonzero values */
3255   ierr = PetscMalloc((nz+extra_rows)*sizeof(PetscScalar),&aa);CHKERRQ(ierr);
3256   ierr = PetscBinaryRead(fd,aa,nz,PETSC_SCALAR);CHKERRQ(ierr);
3257   for (i=0; i<extra_rows; i++) aa[nz+i] = 1.0;
3258 
3259   /* set "a" and "j" values into matrix */
3260   nzcount = 0; jcount = 0;
3261   for (i=0; i<mbs; i++) {
3262     nzcountb = nzcount;
3263     nmask    = 0;
3264     for (j=0; j<bs; j++) {
3265       kmax = rowlengths[i*bs+j];
3266       for (k=0; k<kmax; k++) {
3267         tmp = jj[nzcount++]/bs;
3268         if (!mask[tmp]) { masked[nmask++] = tmp; mask[tmp] = 1;}
3269       }
3270     }
3271     /* sort the masked values */
3272     ierr = PetscSortInt(nmask,masked);CHKERRQ(ierr);
3273 
3274     /* set "j" values into matrix */
3275     maskcount = 1;
3276     for (j=0; j<nmask; j++) {
3277       a->j[jcount++]  = masked[j];
3278       mask[masked[j]] = maskcount++;
3279     }
3280     /* set "a" values into matrix */
3281     ishift = bs2*a->i[i];
3282     for (j=0; j<bs; j++) {
3283       kmax = rowlengths[i*bs+j];
3284       for (k=0; k<kmax; k++) {
3285         tmp       = jj[nzcountb]/bs;
3286         block     = mask[tmp] - 1;
3287         point     = jj[nzcountb] - bs*tmp;
3288         idx       = ishift + bs2*block + j + bs*point;
3289         a->a[idx] = (MatScalar)aa[nzcountb++];
3290       }
3291     }
3292     /* zero out the mask elements we set */
3293     for (j=0; j<nmask; j++) mask[masked[j]] = 0;
3294   }
3295   if (jcount != a->nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Bad binary matrix");
3296 
3297   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
3298   ierr = PetscFree(browlengths);CHKERRQ(ierr);
3299   ierr = PetscFree(aa);CHKERRQ(ierr);
3300   ierr = PetscFree(jj);CHKERRQ(ierr);
3301   ierr = PetscFree2(mask,masked);CHKERRQ(ierr);
3302 
3303   ierr = MatAssemblyBegin(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3304   ierr = MatAssemblyEnd(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3305   PetscFunctionReturn(0);
3306 }
3307 
3308 #undef __FUNCT__
3309 #define __FUNCT__ "MatCreateSeqBAIJ"
3310 /*@C
3311    MatCreateSeqBAIJ - Creates a sparse matrix in block AIJ (block
3312    compressed row) format.  For good matrix assembly performance the
3313    user should preallocate the matrix storage by setting the parameter nz
3314    (or the array nnz).  By setting these parameters accurately, performance
3315    during matrix assembly can be increased by more than a factor of 50.
3316 
3317    Collective on MPI_Comm
3318 
3319    Input Parameters:
3320 +  comm - MPI communicator, set to PETSC_COMM_SELF
3321 .  bs - size of block
3322 .  m - number of rows
3323 .  n - number of columns
3324 .  nz - number of nonzero blocks  per block row (same for all rows)
3325 -  nnz - array containing the number of nonzero blocks in the various block rows
3326          (possibly different for each block row) or NULL
3327 
3328    Output Parameter:
3329 .  A - the matrix
3330 
3331    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3332    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3333    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3334 
3335    Options Database Keys:
3336 .   -mat_no_unroll - uses code that does not unroll the loops in the
3337                      block calculations (much slower)
3338 .    -mat_block_size - size of the blocks to use
3339 
3340    Level: intermediate
3341 
3342    Notes:
3343    The number of rows and columns must be divisible by blocksize.
3344 
3345    If the nnz parameter is given then the nz parameter is ignored
3346 
3347    A nonzero block is any block that as 1 or more nonzeros in it
3348 
3349    The block AIJ format is fully compatible with standard Fortran 77
3350    storage.  That is, the stored row and column indices can begin at
3351    either one (as in Fortran) or zero.  See the users' manual for details.
3352 
3353    Specify the preallocated storage with either nz or nnz (not both).
3354    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3355    allocation.  See the <A href="../../docs/manual.pdf#nameddest=ch_mat">Mat chapter of the users manual</A> for details.
3356    matrices.
3357 
3358 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateBAIJ()
3359 @*/
3360 PetscErrorCode  MatCreateSeqBAIJ(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
3361 {
3362   PetscErrorCode ierr;
3363 
3364   PetscFunctionBegin;
3365   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3366   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
3367   ierr = MatSetType(*A,MATSEQBAIJ);CHKERRQ(ierr);
3368   ierr = MatSeqBAIJSetPreallocation_SeqBAIJ(*A,bs,nz,(PetscInt*)nnz);CHKERRQ(ierr);
3369   PetscFunctionReturn(0);
3370 }
3371 
3372 #undef __FUNCT__
3373 #define __FUNCT__ "MatSeqBAIJSetPreallocation"
3374 /*@C
3375    MatSeqBAIJSetPreallocation - Sets the block size and expected nonzeros
3376    per row in the matrix. For good matrix assembly performance the
3377    user should preallocate the matrix storage by setting the parameter nz
3378    (or the array nnz).  By setting these parameters accurately, performance
3379    during matrix assembly can be increased by more than a factor of 50.
3380 
3381    Collective on MPI_Comm
3382 
3383    Input Parameters:
3384 +  A - the matrix
3385 .  bs - size of block
3386 .  nz - number of block nonzeros per block row (same for all rows)
3387 -  nnz - array containing the number of block nonzeros in the various block rows
3388          (possibly different for each block row) or NULL
3389 
3390    Options Database Keys:
3391 .   -mat_no_unroll - uses code that does not unroll the loops in the
3392                      block calculations (much slower)
3393 .    -mat_block_size - size of the blocks to use
3394 
3395    Level: intermediate
3396 
3397    Notes:
3398    If the nnz parameter is given then the nz parameter is ignored
3399 
3400    You can call MatGetInfo() to get information on how effective the preallocation was;
3401    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3402    You can also run with the option -info and look for messages with the string
3403    malloc in them to see if additional memory allocation was needed.
3404 
3405    The block AIJ format is fully compatible with standard Fortran 77
3406    storage.  That is, the stored row and column indices can begin at
3407    either one (as in Fortran) or zero.  See the users' manual for details.
3408 
3409    Specify the preallocated storage with either nz or nnz (not both).
3410    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3411    allocation.  See the <A href="../../docs/manual.pdf#nameddest=ch_mat">Mat chapter of the users manual</A> for details.
3412 
3413 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateBAIJ(), MatGetInfo()
3414 @*/
3415 PetscErrorCode  MatSeqBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt nz,const PetscInt nnz[])
3416 {
3417   PetscErrorCode ierr;
3418 
3419   PetscFunctionBegin;
3420   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3421   PetscValidType(B,1);
3422   PetscValidLogicalCollectiveInt(B,bs,2);
3423   ierr = PetscTryMethod(B,"MatSeqBAIJSetPreallocation_C",(Mat,PetscInt,PetscInt,const PetscInt[]),(B,bs,nz,nnz));CHKERRQ(ierr);
3424   PetscFunctionReturn(0);
3425 }
3426 
3427 #undef __FUNCT__
3428 #define __FUNCT__ "MatSeqBAIJSetPreallocationCSR"
3429 /*@C
3430    MatSeqBAIJSetPreallocationCSR - Allocates memory for a sparse sequential matrix in AIJ format
3431    (the default sequential PETSc format).
3432 
3433    Collective on MPI_Comm
3434 
3435    Input Parameters:
3436 +  A - the matrix
3437 .  i - the indices into j for the start of each local row (starts with zero)
3438 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
3439 -  v - optional values in the matrix
3440 
3441    Level: developer
3442 
3443 .keywords: matrix, aij, compressed row, sparse
3444 
3445 .seealso: MatCreate(), MatCreateSeqBAIJ(), MatSetValues(), MatSeqBAIJSetPreallocation(), MATSEQBAIJ
3446 @*/
3447 PetscErrorCode  MatSeqBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
3448 {
3449   PetscErrorCode ierr;
3450 
3451   PetscFunctionBegin;
3452   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3453   PetscValidType(B,1);
3454   PetscValidLogicalCollectiveInt(B,bs,2);
3455   ierr = PetscTryMethod(B,"MatSeqBAIJSetPreallocationCSR_C",(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,bs,i,j,v));CHKERRQ(ierr);
3456   PetscFunctionReturn(0);
3457 }
3458 
3459 
3460 #undef __FUNCT__
3461 #define __FUNCT__ "MatCreateSeqBAIJWithArrays"
3462 /*@
3463      MatCreateSeqBAIJWithArrays - Creates an sequential BAIJ matrix using matrix elements provided by the user.
3464 
3465      Collective on MPI_Comm
3466 
3467    Input Parameters:
3468 +  comm - must be an MPI communicator of size 1
3469 .  bs - size of block
3470 .  m - number of rows
3471 .  n - number of columns
3472 .  i - row indices
3473 .  j - column indices
3474 -  a - matrix values
3475 
3476    Output Parameter:
3477 .  mat - the matrix
3478 
3479    Level: advanced
3480 
3481    Notes:
3482        The i, j, and a arrays are not copied by this routine, the user must free these arrays
3483     once the matrix is destroyed
3484 
3485        You cannot set new nonzero locations into this matrix, that will generate an error.
3486 
3487        The i and j indices are 0 based
3488 
3489        When block size is greater than 1 the matrix values must be stored using the BAIJ storage format (see the BAIJ code to determine this).
3490 
3491 
3492 .seealso: MatCreate(), MatCreateBAIJ(), MatCreateSeqBAIJ()
3493 
3494 @*/
3495 PetscErrorCode  MatCreateSeqBAIJWithArrays(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt *i,PetscInt *j,PetscScalar *a,Mat *mat)
3496 {
3497   PetscErrorCode ierr;
3498   PetscInt       ii;
3499   Mat_SeqBAIJ    *baij;
3500 
3501   PetscFunctionBegin;
3502   if (bs != 1) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"block size %D > 1 is not supported yet",bs);
3503   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
3504 
3505   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
3506   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
3507   ierr = MatSetType(*mat,MATSEQBAIJ);CHKERRQ(ierr);
3508   ierr = MatSeqBAIJSetPreallocation_SeqBAIJ(*mat,bs,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
3509   baij = (Mat_SeqBAIJ*)(*mat)->data;
3510   ierr = PetscMalloc2(m,PetscInt,&baij->imax,m,PetscInt,&baij->ilen);CHKERRQ(ierr);
3511   ierr = PetscLogObjectMemory((PetscObject)*mat,2*m*sizeof(PetscInt));CHKERRQ(ierr);
3512 
3513   baij->i = i;
3514   baij->j = j;
3515   baij->a = a;
3516 
3517   baij->singlemalloc = PETSC_FALSE;
3518   baij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
3519   baij->free_a       = PETSC_FALSE;
3520   baij->free_ij      = PETSC_FALSE;
3521 
3522   for (ii=0; ii<m; ii++) {
3523     baij->ilen[ii] = baij->imax[ii] = i[ii+1] - i[ii];
3524 #if defined(PETSC_USE_DEBUG)
3525     if (i[ii+1] - i[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row length in i (row indices) row = %d length = %d",ii,i[ii+1] - i[ii]);
3526 #endif
3527   }
3528 #if defined(PETSC_USE_DEBUG)
3529   for (ii=0; ii<baij->i[m]; ii++) {
3530     if (j[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %d index = %d",ii,j[ii]);
3531     if (j[ii] > n - 1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column index to large at location = %d index = %d",ii,j[ii]);
3532   }
3533 #endif
3534 
3535   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3536   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3537   PetscFunctionReturn(0);
3538 }
3539