xref: /petsc/src/mat/impls/baij/seq/baij.c (revision 9ef679b9b397ea7f8b0ffa0e16e2dbe668d3f68d)
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 #if defined(PETSC_HAVE_HYPRE)
12 PETSC_INTERN PetscErrorCode MatConvert_AIJ_HYPRE(Mat,MatType,MatReuse,Mat*);
13 #endif
14 
15 #if defined(PETSC_HAVE_MKL_SPARSE_OPTIMIZE)
16 PETSC_INTERN PetscErrorCode MatConvert_SeqBAIJ_SeqBAIJMKL(Mat,MatType,MatReuse,Mat*);
17 #endif
18 PETSC_INTERN PetscErrorCode MatConvert_XAIJ_IS(Mat,MatType,MatReuse,Mat*);
19 
20 PetscErrorCode MatInvertBlockDiagonal_SeqBAIJ(Mat A,const PetscScalar **values)
21 {
22   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*) A->data;
23   PetscErrorCode ierr;
24   PetscInt       *diag_offset,i,bs = A->rmap->bs,mbs = a->mbs,ipvt[5],bs2 = bs*bs,*v_pivots;
25   MatScalar      *v    = a->a,*odiag,*diag,work[25],*v_work;
26   PetscReal      shift = 0.0;
27   PetscBool      allowzeropivot,zeropivotdetected=PETSC_FALSE;
28 
29   PetscFunctionBegin;
30   allowzeropivot = PetscNot(A->erroriffailure);
31 
32   if (a->idiagvalid) {
33     if (values) *values = a->idiag;
34     PetscFunctionReturn(0);
35   }
36   ierr        = MatMarkDiagonal_SeqBAIJ(A);CHKERRQ(ierr);
37   diag_offset = a->diag;
38   if (!a->idiag) {
39     ierr = PetscMalloc1(bs2*mbs,&a->idiag);CHKERRQ(ierr);
40     ierr = PetscLogObjectMemory((PetscObject)A,bs2*mbs*sizeof(PetscScalar));CHKERRQ(ierr);
41   }
42   diag  = a->idiag;
43   if (values) *values = a->idiag;
44   /* factor and invert each block */
45   switch (bs) {
46   case 1:
47     for (i=0; i<mbs; i++) {
48       odiag    = v + 1*diag_offset[i];
49       diag[0]  = odiag[0];
50 
51       if (PetscAbsScalar(diag[0] + shift) < PETSC_MACHINE_EPSILON) {
52         if (allowzeropivot) {
53           A->factorerrortype             = MAT_FACTOR_NUMERIC_ZEROPIVOT;
54           A->factorerror_zeropivot_value = PetscAbsScalar(diag[0]);
55           A->factorerror_zeropivot_row   = i;
56           ierr = PetscInfo1(A,"Zero pivot, row %D\n",i);CHKERRQ(ierr);
57         } else SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_MAT_LU_ZRPVT,"Zero pivot, row %D pivot value %g tolerance %g",i,(double)PetscAbsScalar(diag[0]),(double)PETSC_MACHINE_EPSILON);
58       }
59 
60       diag[0]  = (PetscScalar)1.0 / (diag[0] + shift);
61       diag    += 1;
62     }
63     break;
64   case 2:
65     for (i=0; i<mbs; i++) {
66       odiag    = v + 4*diag_offset[i];
67       diag[0]  = odiag[0]; diag[1] = odiag[1]; diag[2] = odiag[2]; diag[3] = odiag[3];
68       ierr     = PetscKernel_A_gets_inverse_A_2(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
69       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
70       diag    += 4;
71     }
72     break;
73   case 3:
74     for (i=0; i<mbs; i++) {
75       odiag    = v + 9*diag_offset[i];
76       diag[0]  = odiag[0]; diag[1] = odiag[1]; diag[2] = odiag[2]; diag[3] = odiag[3];
77       diag[4]  = odiag[4]; diag[5] = odiag[5]; diag[6] = odiag[6]; diag[7] = odiag[7];
78       diag[8]  = odiag[8];
79       ierr     = PetscKernel_A_gets_inverse_A_3(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
80       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
81       diag    += 9;
82     }
83     break;
84   case 4:
85     for (i=0; i<mbs; i++) {
86       odiag  = v + 16*diag_offset[i];
87       ierr   = PetscArraycpy(diag,odiag,16);CHKERRQ(ierr);
88       ierr   = PetscKernel_A_gets_inverse_A_4(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
89       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
90       diag  += 16;
91     }
92     break;
93   case 5:
94     for (i=0; i<mbs; i++) {
95       odiag  = v + 25*diag_offset[i];
96       ierr   = PetscArraycpy(diag,odiag,25);CHKERRQ(ierr);
97       ierr   = PetscKernel_A_gets_inverse_A_5(diag,ipvt,work,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
98       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
99       diag  += 25;
100     }
101     break;
102   case 6:
103     for (i=0; i<mbs; i++) {
104       odiag  = v + 36*diag_offset[i];
105       ierr   = PetscArraycpy(diag,odiag,36);CHKERRQ(ierr);
106       ierr   = PetscKernel_A_gets_inverse_A_6(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
107       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
108       diag  += 36;
109     }
110     break;
111   case 7:
112     for (i=0; i<mbs; i++) {
113       odiag  = v + 49*diag_offset[i];
114       ierr   = PetscArraycpy(diag,odiag,49);CHKERRQ(ierr);
115       ierr   = PetscKernel_A_gets_inverse_A_7(diag,shift,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
116       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
117       diag  += 49;
118     }
119     break;
120   default:
121     ierr = PetscMalloc2(bs,&v_work,bs,&v_pivots);CHKERRQ(ierr);
122     for (i=0; i<mbs; i++) {
123       odiag  = v + bs2*diag_offset[i];
124       ierr   = PetscArraycpy(diag,odiag,bs2);CHKERRQ(ierr);
125       ierr   = PetscKernel_A_gets_inverse_A(bs,diag,v_pivots,v_work,allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
126       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
127       diag  += bs2;
128     }
129     ierr = PetscFree2(v_work,v_pivots);CHKERRQ(ierr);
130   }
131   a->idiagvalid = PETSC_TRUE;
132   PetscFunctionReturn(0);
133 }
134 
135 PetscErrorCode MatSOR_SeqBAIJ(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
136 {
137   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
138   PetscScalar       *x,*work,*w,*workt,*t;
139   const MatScalar   *v,*aa = a->a, *idiag;
140   const PetscScalar *b,*xb;
141   PetscScalar       s[7], xw[7]={0}; /* avoid some compilers thinking xw is uninitialized */
142   PetscErrorCode    ierr;
143   PetscInt          m = a->mbs,i,i2,nz,bs = A->rmap->bs,bs2 = bs*bs,k,j,idx,it;
144   const PetscInt    *diag,*ai = a->i,*aj = a->j,*vi;
145 
146   PetscFunctionBegin;
147   its = its*lits;
148   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support yet for Eisenstat");
149   if (its <= 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
150   if (fshift) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
151   if (omega != 1.0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
152   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");
153 
154   if (!a->idiagvalid) {ierr = MatInvertBlockDiagonal(A,NULL);CHKERRQ(ierr);}
155 
156   if (!m) PetscFunctionReturn(0);
157   diag  = a->diag;
158   idiag = a->idiag;
159   k    = PetscMax(A->rmap->n,A->cmap->n);
160   if (!a->mult_work) {
161     ierr = PetscMalloc1(k+1,&a->mult_work);CHKERRQ(ierr);
162   }
163   if (!a->sor_workt) {
164     ierr = PetscMalloc1(k,&a->sor_workt);CHKERRQ(ierr);
165   }
166   if (!a->sor_work) {
167     ierr = PetscMalloc1(bs,&a->sor_work);CHKERRQ(ierr);
168   }
169   work = a->mult_work;
170   t    = a->sor_workt;
171   w    = a->sor_work;
172 
173   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
174   ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
175 
176   if (flag & SOR_ZERO_INITIAL_GUESS) {
177     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
178       switch (bs) {
179       case 1:
180         PetscKernel_v_gets_A_times_w_1(x,idiag,b);
181         t[0] = b[0];
182         i2     = 1;
183         idiag += 1;
184         for (i=1; i<m; i++) {
185           v  = aa + ai[i];
186           vi = aj + ai[i];
187           nz = diag[i] - ai[i];
188           s[0] = b[i2];
189           for (j=0; j<nz; j++) {
190             xw[0] = x[vi[j]];
191             PetscKernel_v_gets_v_minus_A_times_w_1(s,(v+j),xw);
192           }
193           t[i2] = s[0];
194           PetscKernel_v_gets_A_times_w_1(xw,idiag,s);
195           x[i2]  = xw[0];
196           idiag += 1;
197           i2    += 1;
198         }
199         break;
200       case 2:
201         PetscKernel_v_gets_A_times_w_2(x,idiag,b);
202         t[0] = b[0]; t[1] = b[1];
203         i2     = 2;
204         idiag += 4;
205         for (i=1; i<m; i++) {
206           v  = aa + 4*ai[i];
207           vi = aj + ai[i];
208           nz = diag[i] - ai[i];
209           s[0] = b[i2]; s[1] = b[i2+1];
210           for (j=0; j<nz; j++) {
211             idx = 2*vi[j];
212             it  = 4*j;
213             xw[0] = x[idx]; xw[1] = x[1+idx];
214             PetscKernel_v_gets_v_minus_A_times_w_2(s,(v+it),xw);
215           }
216           t[i2] = s[0]; t[i2+1] = s[1];
217           PetscKernel_v_gets_A_times_w_2(xw,idiag,s);
218           x[i2]   = xw[0]; x[i2+1] = xw[1];
219           idiag  += 4;
220           i2     += 2;
221         }
222         break;
223       case 3:
224         PetscKernel_v_gets_A_times_w_3(x,idiag,b);
225         t[0] = b[0]; t[1] = b[1]; t[2] = b[2];
226         i2     = 3;
227         idiag += 9;
228         for (i=1; i<m; i++) {
229           v  = aa + 9*ai[i];
230           vi = aj + ai[i];
231           nz = diag[i] - ai[i];
232           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2];
233           while (nz--) {
234             idx = 3*(*vi++);
235             xw[0] = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx];
236             PetscKernel_v_gets_v_minus_A_times_w_3(s,v,xw);
237             v  += 9;
238           }
239           t[i2] = s[0]; t[i2+1] = s[1]; t[i2+2] = s[2];
240           PetscKernel_v_gets_A_times_w_3(xw,idiag,s);
241           x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2];
242           idiag  += 9;
243           i2     += 3;
244         }
245         break;
246       case 4:
247         PetscKernel_v_gets_A_times_w_4(x,idiag,b);
248         t[0] = b[0]; t[1] = b[1]; t[2] = b[2]; t[3] = b[3];
249         i2     = 4;
250         idiag += 16;
251         for (i=1; i<m; i++) {
252           v  = aa + 16*ai[i];
253           vi = aj + ai[i];
254           nz = diag[i] - ai[i];
255           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3];
256           while (nz--) {
257             idx = 4*(*vi++);
258             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx];
259             PetscKernel_v_gets_v_minus_A_times_w_4(s,v,xw);
260             v  += 16;
261           }
262           t[i2] = s[0]; t[i2+1] = s[1]; t[i2+2] = s[2]; t[i2 + 3] = s[3];
263           PetscKernel_v_gets_A_times_w_4(xw,idiag,s);
264           x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3];
265           idiag  += 16;
266           i2     += 4;
267         }
268         break;
269       case 5:
270         PetscKernel_v_gets_A_times_w_5(x,idiag,b);
271         t[0] = b[0]; t[1] = b[1]; t[2] = b[2]; t[3] = b[3]; t[4] = b[4];
272         i2     = 5;
273         idiag += 25;
274         for (i=1; i<m; i++) {
275           v  = aa + 25*ai[i];
276           vi = aj + ai[i];
277           nz = diag[i] - ai[i];
278           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3]; s[4] = b[i2+4];
279           while (nz--) {
280             idx = 5*(*vi++);
281             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx]; xw[4] = x[4+idx];
282             PetscKernel_v_gets_v_minus_A_times_w_5(s,v,xw);
283             v  += 25;
284           }
285           t[i2] = s[0]; t[i2+1] = s[1]; t[i2+2] = s[2]; t[i2+3] = s[3]; t[i2+4] = s[4];
286           PetscKernel_v_gets_A_times_w_5(xw,idiag,s);
287           x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3]; x[i2+4] = xw[4];
288           idiag  += 25;
289           i2     += 5;
290         }
291         break;
292       case 6:
293         PetscKernel_v_gets_A_times_w_6(x,idiag,b);
294         t[0] = b[0]; t[1] = b[1]; t[2] = b[2]; t[3] = b[3]; t[4] = b[4]; t[5] = b[5];
295         i2     = 6;
296         idiag += 36;
297         for (i=1; i<m; i++) {
298           v  = aa + 36*ai[i];
299           vi = aj + ai[i];
300           nz = diag[i] - ai[i];
301           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];
302           while (nz--) {
303             idx = 6*(*vi++);
304             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
305             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx];
306             PetscKernel_v_gets_v_minus_A_times_w_6(s,v,xw);
307             v  += 36;
308           }
309           t[i2]   = s[0]; t[i2+1] = s[1]; t[i2+2] = s[2];
310           t[i2+3] = s[3]; t[i2+4] = s[4]; t[i2+5] = s[5];
311           PetscKernel_v_gets_A_times_w_6(xw,idiag,s);
312           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];
313           idiag  += 36;
314           i2     += 6;
315         }
316         break;
317       case 7:
318         PetscKernel_v_gets_A_times_w_7(x,idiag,b);
319         t[0] = b[0]; t[1] = b[1]; t[2] = b[2];
320         t[3] = b[3]; t[4] = b[4]; t[5] = b[5]; t[6] = b[6];
321         i2     = 7;
322         idiag += 49;
323         for (i=1; i<m; i++) {
324           v  = aa + 49*ai[i];
325           vi = aj + ai[i];
326           nz = diag[i] - ai[i];
327           s[0] = b[i2];   s[1] = b[i2+1]; s[2] = b[i2+2];
328           s[3] = b[i2+3]; s[4] = b[i2+4]; s[5] = b[i2+5]; s[6] = b[i2+6];
329           while (nz--) {
330             idx = 7*(*vi++);
331             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
332             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx]; xw[6] = x[6+idx];
333             PetscKernel_v_gets_v_minus_A_times_w_7(s,v,xw);
334             v  += 49;
335           }
336           t[i2]   = s[0]; t[i2+1] = s[1]; t[i2+2] = s[2];
337           t[i2+3] = s[3]; t[i2+4] = s[4]; t[i2+5] = s[5]; t[i2+6] = s[6];
338           PetscKernel_v_gets_A_times_w_7(xw,idiag,s);
339           x[i2] =   xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2];
340           x[i2+3] = xw[3]; x[i2+4] = xw[4]; x[i2+5] = xw[5]; x[i2+6] = xw[6];
341           idiag  += 49;
342           i2     += 7;
343         }
344         break;
345       default:
346         PetscKernel_w_gets_Ar_times_v(bs,bs,b,idiag,x);
347         ierr = PetscArraycpy(t,b,bs);CHKERRQ(ierr);
348         i2     = bs;
349         idiag += bs2;
350         for (i=1; i<m; i++) {
351           v  = aa + bs2*ai[i];
352           vi = aj + ai[i];
353           nz = diag[i] - ai[i];
354 
355           ierr = PetscArraycpy(w,b+i2,bs);CHKERRQ(ierr);
356           /* copy all rows of x that are needed into contiguous space */
357           workt = work;
358           for (j=0; j<nz; j++) {
359             ierr   = PetscArraycpy(workt,x + bs*(*vi++),bs);CHKERRQ(ierr);
360             workt += bs;
361           }
362           PetscKernel_w_gets_w_minus_Ar_times_v(bs,bs*nz,w,v,work);
363           ierr = PetscArraycpy(t+i2,w,bs);CHKERRQ(ierr);
364           PetscKernel_w_gets_Ar_times_v(bs,bs,w,idiag,x+i2);
365 
366           idiag += bs2;
367           i2    += bs;
368         }
369         break;
370       }
371       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
372       ierr = PetscLogFlops(1.0*bs2*a->nz);CHKERRQ(ierr);
373       xb = t;
374     }
375     else xb = b;
376     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
377       idiag = a->idiag+bs2*(a->mbs-1);
378       i2 = bs * (m-1);
379       switch (bs) {
380       case 1:
381         s[0]  = xb[i2];
382         PetscKernel_v_gets_A_times_w_1(xw,idiag,s);
383         x[i2] = xw[0];
384         i2   -= 1;
385         for (i=m-2; i>=0; i--) {
386           v  = aa + (diag[i]+1);
387           vi = aj + diag[i] + 1;
388           nz = ai[i+1] - diag[i] - 1;
389           s[0] = xb[i2];
390           for (j=0; j<nz; j++) {
391             xw[0] = x[vi[j]];
392             PetscKernel_v_gets_v_minus_A_times_w_1(s,(v+j),xw);
393           }
394           PetscKernel_v_gets_A_times_w_1(xw,idiag,s);
395           x[i2]  = xw[0];
396           idiag -= 1;
397           i2    -= 1;
398         }
399         break;
400       case 2:
401         s[0]  = xb[i2]; s[1] = xb[i2+1];
402         PetscKernel_v_gets_A_times_w_2(xw,idiag,s);
403         x[i2] = xw[0]; x[i2+1] = xw[1];
404         i2    -= 2;
405         idiag -= 4;
406         for (i=m-2; i>=0; i--) {
407           v  = aa + 4*(diag[i] + 1);
408           vi = aj + diag[i] + 1;
409           nz = ai[i+1] - diag[i] - 1;
410           s[0] = xb[i2]; s[1] = xb[i2+1];
411           for (j=0; j<nz; j++) {
412             idx = 2*vi[j];
413             it  = 4*j;
414             xw[0] = x[idx]; xw[1] = x[1+idx];
415             PetscKernel_v_gets_v_minus_A_times_w_2(s,(v+it),xw);
416           }
417           PetscKernel_v_gets_A_times_w_2(xw,idiag,s);
418           x[i2]   = xw[0]; x[i2+1] = xw[1];
419           idiag  -= 4;
420           i2     -= 2;
421         }
422         break;
423       case 3:
424         s[0]  = xb[i2]; s[1] = xb[i2+1]; s[2] = xb[i2+2];
425         PetscKernel_v_gets_A_times_w_3(xw,idiag,s);
426         x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2];
427         i2    -= 3;
428         idiag -= 9;
429         for (i=m-2; i>=0; i--) {
430           v  = aa + 9*(diag[i]+1);
431           vi = aj + diag[i] + 1;
432           nz = ai[i+1] - diag[i] - 1;
433           s[0] = xb[i2]; s[1] = xb[i2+1]; s[2] = xb[i2+2];
434           while (nz--) {
435             idx = 3*(*vi++);
436             xw[0] = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx];
437             PetscKernel_v_gets_v_minus_A_times_w_3(s,v,xw);
438             v  += 9;
439           }
440           PetscKernel_v_gets_A_times_w_3(xw,idiag,s);
441           x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2];
442           idiag  -= 9;
443           i2     -= 3;
444         }
445         break;
446       case 4:
447         s[0]  = xb[i2]; s[1] = xb[i2+1]; s[2] = xb[i2+2]; s[3] = xb[i2+3];
448         PetscKernel_v_gets_A_times_w_4(xw,idiag,s);
449         x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3];
450         i2    -= 4;
451         idiag -= 16;
452         for (i=m-2; i>=0; i--) {
453           v  = aa + 16*(diag[i]+1);
454           vi = aj + diag[i] + 1;
455           nz = ai[i+1] - diag[i] - 1;
456           s[0] = xb[i2]; s[1] = xb[i2+1]; s[2] = xb[i2+2]; s[3] = xb[i2+3];
457           while (nz--) {
458             idx = 4*(*vi++);
459             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx];
460             PetscKernel_v_gets_v_minus_A_times_w_4(s,v,xw);
461             v  += 16;
462           }
463           PetscKernel_v_gets_A_times_w_4(xw,idiag,s);
464           x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3];
465           idiag  -= 16;
466           i2     -= 4;
467         }
468         break;
469       case 5:
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         PetscKernel_v_gets_A_times_w_5(xw,idiag,s);
472         x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3]; x[i2+4] = xw[4];
473         i2    -= 5;
474         idiag -= 25;
475         for (i=m-2; i>=0; i--) {
476           v  = aa + 25*(diag[i]+1);
477           vi = aj + diag[i] + 1;
478           nz = ai[i+1] - diag[i] - 1;
479           s[0] = xb[i2]; s[1] = xb[i2+1]; s[2] = xb[i2+2]; s[3] = xb[i2+3]; s[4] = xb[i2+4];
480           while (nz--) {
481             idx = 5*(*vi++);
482             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx]; xw[4] = x[4+idx];
483             PetscKernel_v_gets_v_minus_A_times_w_5(s,v,xw);
484             v  += 25;
485           }
486           PetscKernel_v_gets_A_times_w_5(xw,idiag,s);
487           x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3]; x[i2+4] = xw[4];
488           idiag  -= 25;
489           i2     -= 5;
490         }
491         break;
492       case 6:
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         PetscKernel_v_gets_A_times_w_6(xw,idiag,s);
495         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];
496         i2    -= 6;
497         idiag -= 36;
498         for (i=m-2; i>=0; i--) {
499           v  = aa + 36*(diag[i]+1);
500           vi = aj + diag[i] + 1;
501           nz = ai[i+1] - diag[i] - 1;
502           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];
503           while (nz--) {
504             idx = 6*(*vi++);
505             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
506             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx];
507             PetscKernel_v_gets_v_minus_A_times_w_6(s,v,xw);
508             v  += 36;
509           }
510           PetscKernel_v_gets_A_times_w_6(xw,idiag,s);
511           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];
512           idiag  -= 36;
513           i2     -= 6;
514         }
515         break;
516       case 7:
517         s[0] = xb[i2];   s[1] = xb[i2+1]; s[2] = xb[i2+2];
518         s[3] = xb[i2+3]; s[4] = xb[i2+4]; s[5] = xb[i2+5]; s[6] = xb[i2+6];
519         PetscKernel_v_gets_A_times_w_7(x,idiag,b);
520         x[i2]   = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2];
521         x[i2+3] = xw[3]; x[i2+4] = xw[4]; x[i2+5] = xw[5]; x[i2+6] = xw[6];
522         i2    -= 7;
523         idiag -= 49;
524         for (i=m-2; i>=0; i--) {
525           v  = aa + 49*(diag[i]+1);
526           vi = aj + diag[i] + 1;
527           nz = ai[i+1] - diag[i] - 1;
528           s[0] = xb[i2];   s[1] = xb[i2+1]; s[2] = xb[i2+2];
529           s[3] = xb[i2+3]; s[4] = xb[i2+4]; s[5] = xb[i2+5]; s[6] = xb[i2+6];
530           while (nz--) {
531             idx = 7*(*vi++);
532             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
533             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx]; xw[6] = x[6+idx];
534             PetscKernel_v_gets_v_minus_A_times_w_7(s,v,xw);
535             v  += 49;
536           }
537           PetscKernel_v_gets_A_times_w_7(xw,idiag,s);
538           x[i2] =   xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2];
539           x[i2+3] = xw[3]; x[i2+4] = xw[4]; x[i2+5] = xw[5]; x[i2+6] = xw[6];
540           idiag  -= 49;
541           i2     -= 7;
542         }
543         break;
544       default:
545         ierr  = PetscArraycpy(w,xb+i2,bs);CHKERRQ(ierr);
546         PetscKernel_w_gets_Ar_times_v(bs,bs,w,idiag,x+i2);
547         i2    -= bs;
548         idiag -= bs2;
549         for (i=m-2; i>=0; i--) {
550           v  = aa + bs2*(diag[i]+1);
551           vi = aj + diag[i] + 1;
552           nz = ai[i+1] - diag[i] - 1;
553 
554           ierr = PetscArraycpy(w,xb+i2,bs);CHKERRQ(ierr);
555           /* copy all rows of x that are needed into contiguous space */
556           workt = work;
557           for (j=0; j<nz; j++) {
558             ierr   = PetscArraycpy(workt,x + bs*(*vi++),bs);CHKERRQ(ierr);
559             workt += bs;
560           }
561           PetscKernel_w_gets_w_minus_Ar_times_v(bs,bs*nz,w,v,work);
562           PetscKernel_w_gets_Ar_times_v(bs,bs,w,idiag,x+i2);
563 
564           idiag -= bs2;
565           i2    -= bs;
566         }
567         break;
568       }
569       ierr = PetscLogFlops(1.0*bs2*(a->nz));CHKERRQ(ierr);
570     }
571     its--;
572   }
573   while (its--) {
574     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
575       idiag = a->idiag;
576       i2 = 0;
577       switch (bs) {
578       case 1:
579         for (i=0; i<m; i++) {
580           v  = aa + ai[i];
581           vi = aj + ai[i];
582           nz = ai[i+1] - ai[i];
583           s[0] = b[i2];
584           for (j=0; j<nz; j++) {
585             xw[0] = x[vi[j]];
586             PetscKernel_v_gets_v_minus_A_times_w_1(s,(v+j),xw);
587           }
588           PetscKernel_v_gets_A_times_w_1(xw,idiag,s);
589           x[i2] += xw[0];
590           idiag += 1;
591           i2    += 1;
592         }
593         break;
594       case 2:
595         for (i=0; i<m; i++) {
596           v  = aa + 4*ai[i];
597           vi = aj + ai[i];
598           nz = ai[i+1] - ai[i];
599           s[0] = b[i2]; s[1] = b[i2+1];
600           for (j=0; j<nz; j++) {
601             idx = 2*vi[j];
602             it  = 4*j;
603             xw[0] = x[idx]; xw[1] = x[1+idx];
604             PetscKernel_v_gets_v_minus_A_times_w_2(s,(v+it),xw);
605           }
606           PetscKernel_v_gets_A_times_w_2(xw,idiag,s);
607           x[i2]  += xw[0]; x[i2+1] += xw[1];
608           idiag  += 4;
609           i2     += 2;
610         }
611         break;
612       case 3:
613         for (i=0; i<m; i++) {
614           v  = aa + 9*ai[i];
615           vi = aj + ai[i];
616           nz = ai[i+1] - ai[i];
617           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2];
618           while (nz--) {
619             idx = 3*(*vi++);
620             xw[0] = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx];
621             PetscKernel_v_gets_v_minus_A_times_w_3(s,v,xw);
622             v  += 9;
623           }
624           PetscKernel_v_gets_A_times_w_3(xw,idiag,s);
625           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2];
626           idiag  += 9;
627           i2     += 3;
628         }
629         break;
630       case 4:
631         for (i=0; i<m; i++) {
632           v  = aa + 16*ai[i];
633           vi = aj + ai[i];
634           nz = ai[i+1] - ai[i];
635           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3];
636           while (nz--) {
637             idx = 4*(*vi++);
638             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx];
639             PetscKernel_v_gets_v_minus_A_times_w_4(s,v,xw);
640             v  += 16;
641           }
642           PetscKernel_v_gets_A_times_w_4(xw,idiag,s);
643           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2]; x[i2+3] += xw[3];
644           idiag  += 16;
645           i2     += 4;
646         }
647         break;
648       case 5:
649         for (i=0; i<m; i++) {
650           v  = aa + 25*ai[i];
651           vi = aj + ai[i];
652           nz = ai[i+1] - ai[i];
653           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3]; s[4] = b[i2+4];
654           while (nz--) {
655             idx = 5*(*vi++);
656             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx]; xw[4] = x[4+idx];
657             PetscKernel_v_gets_v_minus_A_times_w_5(s,v,xw);
658             v  += 25;
659           }
660           PetscKernel_v_gets_A_times_w_5(xw,idiag,s);
661           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2]; x[i2+3] += xw[3]; x[i2+4] += xw[4];
662           idiag  += 25;
663           i2     += 5;
664         }
665         break;
666       case 6:
667         for (i=0; i<m; i++) {
668           v  = aa + 36*ai[i];
669           vi = aj + ai[i];
670           nz = ai[i+1] - ai[i];
671           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];
672           while (nz--) {
673             idx = 6*(*vi++);
674             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
675             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx];
676             PetscKernel_v_gets_v_minus_A_times_w_6(s,v,xw);
677             v  += 36;
678           }
679           PetscKernel_v_gets_A_times_w_6(xw,idiag,s);
680           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2];
681           x[i2+3] += xw[3]; x[i2+4] += xw[4]; x[i2+5] += xw[5];
682           idiag  += 36;
683           i2     += 6;
684         }
685         break;
686       case 7:
687         for (i=0; i<m; i++) {
688           v  = aa + 49*ai[i];
689           vi = aj + ai[i];
690           nz = ai[i+1] - ai[i];
691           s[0] = b[i2];   s[1] = b[i2+1]; s[2] = b[i2+2];
692           s[3] = b[i2+3]; s[4] = b[i2+4]; s[5] = b[i2+5]; s[6] = b[i2+6];
693           while (nz--) {
694             idx = 7*(*vi++);
695             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
696             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx]; xw[6] = x[6+idx];
697             PetscKernel_v_gets_v_minus_A_times_w_7(s,v,xw);
698             v  += 49;
699           }
700           PetscKernel_v_gets_A_times_w_7(xw,idiag,s);
701           x[i2]   += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2];
702           x[i2+3] += xw[3]; x[i2+4] += xw[4]; x[i2+5] += xw[5]; x[i2+6] += xw[6];
703           idiag  += 49;
704           i2     += 7;
705         }
706         break;
707       default:
708         for (i=0; i<m; i++) {
709           v  = aa + bs2*ai[i];
710           vi = aj + ai[i];
711           nz = ai[i+1] - ai[i];
712 
713           ierr = PetscArraycpy(w,b+i2,bs);CHKERRQ(ierr);
714           /* copy all rows of x that are needed into contiguous space */
715           workt = work;
716           for (j=0; j<nz; j++) {
717             ierr   = PetscArraycpy(workt,x + bs*(*vi++),bs);CHKERRQ(ierr);
718             workt += bs;
719           }
720           PetscKernel_w_gets_w_minus_Ar_times_v(bs,bs*nz,w,v,work);
721           PetscKernel_w_gets_w_plus_Ar_times_v(bs,bs,w,idiag,x+i2);
722 
723           idiag += bs2;
724           i2    += bs;
725         }
726         break;
727       }
728       ierr = PetscLogFlops(2.0*bs2*a->nz);CHKERRQ(ierr);
729     }
730     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
731       idiag = a->idiag+bs2*(a->mbs-1);
732       i2 = bs * (m-1);
733       switch (bs) {
734       case 1:
735         for (i=m-1; i>=0; i--) {
736           v  = aa + ai[i];
737           vi = aj + ai[i];
738           nz = ai[i+1] - ai[i];
739           s[0] = b[i2];
740           for (j=0; j<nz; j++) {
741             xw[0] = x[vi[j]];
742             PetscKernel_v_gets_v_minus_A_times_w_1(s,(v+j),xw);
743           }
744           PetscKernel_v_gets_A_times_w_1(xw,idiag,s);
745           x[i2] += xw[0];
746           idiag -= 1;
747           i2    -= 1;
748         }
749         break;
750       case 2:
751         for (i=m-1; i>=0; i--) {
752           v  = aa + 4*ai[i];
753           vi = aj + ai[i];
754           nz = ai[i+1] - ai[i];
755           s[0] = b[i2]; s[1] = b[i2+1];
756           for (j=0; j<nz; j++) {
757             idx = 2*vi[j];
758             it  = 4*j;
759             xw[0] = x[idx]; xw[1] = x[1+idx];
760             PetscKernel_v_gets_v_minus_A_times_w_2(s,(v+it),xw);
761           }
762           PetscKernel_v_gets_A_times_w_2(xw,idiag,s);
763           x[i2]  += xw[0]; x[i2+1] += xw[1];
764           idiag  -= 4;
765           i2     -= 2;
766         }
767         break;
768       case 3:
769         for (i=m-1; i>=0; i--) {
770           v  = aa + 9*ai[i];
771           vi = aj + ai[i];
772           nz = ai[i+1] - ai[i];
773           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2];
774           while (nz--) {
775             idx = 3*(*vi++);
776             xw[0] = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx];
777             PetscKernel_v_gets_v_minus_A_times_w_3(s,v,xw);
778             v  += 9;
779           }
780           PetscKernel_v_gets_A_times_w_3(xw,idiag,s);
781           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2];
782           idiag  -= 9;
783           i2     -= 3;
784         }
785         break;
786       case 4:
787         for (i=m-1; i>=0; i--) {
788           v  = aa + 16*ai[i];
789           vi = aj + ai[i];
790           nz = ai[i+1] - ai[i];
791           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3];
792           while (nz--) {
793             idx = 4*(*vi++);
794             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx];
795             PetscKernel_v_gets_v_minus_A_times_w_4(s,v,xw);
796             v  += 16;
797           }
798           PetscKernel_v_gets_A_times_w_4(xw,idiag,s);
799           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2]; x[i2+3] += xw[3];
800           idiag  -= 16;
801           i2     -= 4;
802         }
803         break;
804       case 5:
805         for (i=m-1; i>=0; i--) {
806           v  = aa + 25*ai[i];
807           vi = aj + ai[i];
808           nz = ai[i+1] - ai[i];
809           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3]; s[4] = b[i2+4];
810           while (nz--) {
811             idx = 5*(*vi++);
812             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx]; xw[4] = x[4+idx];
813             PetscKernel_v_gets_v_minus_A_times_w_5(s,v,xw);
814             v  += 25;
815           }
816           PetscKernel_v_gets_A_times_w_5(xw,idiag,s);
817           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2]; x[i2+3] += xw[3]; x[i2+4] += xw[4];
818           idiag  -= 25;
819           i2     -= 5;
820         }
821         break;
822       case 6:
823         for (i=m-1; i>=0; i--) {
824           v  = aa + 36*ai[i];
825           vi = aj + ai[i];
826           nz = ai[i+1] - ai[i];
827           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];
828           while (nz--) {
829             idx = 6*(*vi++);
830             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
831             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx];
832             PetscKernel_v_gets_v_minus_A_times_w_6(s,v,xw);
833             v  += 36;
834           }
835           PetscKernel_v_gets_A_times_w_6(xw,idiag,s);
836           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2];
837           x[i2+3] += xw[3]; x[i2+4] += xw[4]; x[i2+5] += xw[5];
838           idiag  -= 36;
839           i2     -= 6;
840         }
841         break;
842       case 7:
843         for (i=m-1; i>=0; i--) {
844           v  = aa + 49*ai[i];
845           vi = aj + ai[i];
846           nz = ai[i+1] - ai[i];
847           s[0] = b[i2];   s[1] = b[i2+1]; s[2] = b[i2+2];
848           s[3] = b[i2+3]; s[4] = b[i2+4]; s[5] = b[i2+5]; s[6] = b[i2+6];
849           while (nz--) {
850             idx = 7*(*vi++);
851             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
852             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx]; xw[6] = x[6+idx];
853             PetscKernel_v_gets_v_minus_A_times_w_7(s,v,xw);
854             v  += 49;
855           }
856           PetscKernel_v_gets_A_times_w_7(xw,idiag,s);
857           x[i2] +=   xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2];
858           x[i2+3] += xw[3]; x[i2+4] += xw[4]; x[i2+5] += xw[5]; x[i2+6] += xw[6];
859           idiag  -= 49;
860           i2     -= 7;
861         }
862         break;
863       default:
864         for (i=m-1; i>=0; i--) {
865           v  = aa + bs2*ai[i];
866           vi = aj + ai[i];
867           nz = ai[i+1] - ai[i];
868 
869           ierr = PetscArraycpy(w,b+i2,bs);CHKERRQ(ierr);
870           /* copy all rows of x that are needed into contiguous space */
871           workt = work;
872           for (j=0; j<nz; j++) {
873             ierr   = PetscArraycpy(workt,x + bs*(*vi++),bs);CHKERRQ(ierr);
874             workt += bs;
875           }
876           PetscKernel_w_gets_w_minus_Ar_times_v(bs,bs*nz,w,v,work);
877           PetscKernel_w_gets_w_plus_Ar_times_v(bs,bs,w,idiag,x+i2);
878 
879           idiag -= bs2;
880           i2    -= bs;
881         }
882         break;
883       }
884       ierr = PetscLogFlops(2.0*bs2*(a->nz));CHKERRQ(ierr);
885     }
886   }
887   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
888   ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
889   PetscFunctionReturn(0);
890 }
891 
892 
893 /*
894     Special version for direct calls from Fortran (Used in PETSc-fun3d)
895 */
896 #if defined(PETSC_HAVE_FORTRAN_CAPS)
897 #define matsetvaluesblocked4_ MATSETVALUESBLOCKED4
898 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
899 #define matsetvaluesblocked4_ matsetvaluesblocked4
900 #endif
901 
902 PETSC_EXTERN void matsetvaluesblocked4_(Mat *AA,PetscInt *mm,const PetscInt im[],PetscInt *nn,const PetscInt in[],const PetscScalar v[])
903 {
904   Mat               A  = *AA;
905   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
906   PetscInt          *rp,k,low,high,t,ii,jj,row,nrow,i,col,l,N,m = *mm,n = *nn;
907   PetscInt          *ai    =a->i,*ailen=a->ilen;
908   PetscInt          *aj    =a->j,stepval,lastcol = -1;
909   const PetscScalar *value = v;
910   MatScalar         *ap,*aa = a->a,*bap;
911   PetscErrorCode    ierr;
912 
913   PetscFunctionBegin;
914   if (A->rmap->bs != 4) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONG,"Can only be called with a block size of 4");
915   stepval = (n-1)*4;
916   for (k=0; k<m; k++) { /* loop over added rows */
917     row  = im[k];
918     rp   = aj + ai[row];
919     ap   = aa + 16*ai[row];
920     nrow = ailen[row];
921     low  = 0;
922     high = nrow;
923     for (l=0; l<n; l++) { /* loop over added columns */
924       col = in[l];
925       if (col <= lastcol)  low = 0;
926       else                high = nrow;
927       lastcol = col;
928       value   = v + k*(stepval+4 + l)*4;
929       while (high-low > 7) {
930         t = (low+high)/2;
931         if (rp[t] > col) high = t;
932         else             low  = t;
933       }
934       for (i=low; i<high; i++) {
935         if (rp[i] > col) break;
936         if (rp[i] == col) {
937           bap = ap +  16*i;
938           for (ii=0; ii<4; ii++,value+=stepval) {
939             for (jj=ii; jj<16; jj+=4) {
940               bap[jj] += *value++;
941             }
942           }
943           goto noinsert2;
944         }
945       }
946       N = nrow++ - 1;
947       high++; /* added new column index thus must search to one higher than before */
948       /* shift up all the later entries in this row */
949       for (ii=N; ii>=i; ii--) {
950         rp[ii+1] = rp[ii];
951         ierr = PetscArraycpy(ap+16*(ii+1),ap+16*(ii),16);CHKERRV(ierr);
952       }
953       if (N >= i) {
954         ierr = PetscArrayzero(ap+16*i,16);CHKERRV(ierr);
955       }
956       rp[i] = col;
957       bap   = ap +  16*i;
958       for (ii=0; ii<4; ii++,value+=stepval) {
959         for (jj=ii; jj<16; jj+=4) {
960           bap[jj] = *value++;
961         }
962       }
963       noinsert2:;
964       low = i;
965     }
966     ailen[row] = nrow;
967   }
968   PetscFunctionReturnVoid();
969 }
970 
971 #if defined(PETSC_HAVE_FORTRAN_CAPS)
972 #define matsetvalues4_ MATSETVALUES4
973 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
974 #define matsetvalues4_ matsetvalues4
975 #endif
976 
977 PETSC_EXTERN void matsetvalues4_(Mat *AA,PetscInt *mm,PetscInt *im,PetscInt *nn,PetscInt *in,PetscScalar *v)
978 {
979   Mat         A  = *AA;
980   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
981   PetscInt    *rp,k,low,high,t,row,nrow,i,col,l,N,n = *nn,m = *mm;
982   PetscInt    *ai=a->i,*ailen=a->ilen;
983   PetscInt    *aj=a->j,brow,bcol;
984   PetscInt    ridx,cidx,lastcol = -1;
985   MatScalar   *ap,value,*aa=a->a,*bap;
986   PetscErrorCode ierr;
987 
988   PetscFunctionBegin;
989   for (k=0; k<m; k++) { /* loop over added rows */
990     row  = im[k]; brow = row/4;
991     rp   = aj + ai[brow];
992     ap   = aa + 16*ai[brow];
993     nrow = ailen[brow];
994     low  = 0;
995     high = nrow;
996     for (l=0; l<n; l++) { /* loop over added columns */
997       col   = in[l]; bcol = col/4;
998       ridx  = row % 4; cidx = col % 4;
999       value = v[l + k*n];
1000       if (col <= lastcol)  low = 0;
1001       else                high = nrow;
1002       lastcol = col;
1003       while (high-low > 7) {
1004         t = (low+high)/2;
1005         if (rp[t] > bcol) high = t;
1006         else              low  = t;
1007       }
1008       for (i=low; i<high; i++) {
1009         if (rp[i] > bcol) break;
1010         if (rp[i] == bcol) {
1011           bap   = ap +  16*i + 4*cidx + ridx;
1012           *bap += value;
1013           goto noinsert1;
1014         }
1015       }
1016       N = nrow++ - 1;
1017       high++; /* added new column thus must search to one higher than before */
1018       /* shift up all the later entries in this row */
1019       ierr = PetscArraymove(rp+i+1,rp+i,N-i+1);CHKERRV(ierr);
1020       ierr = PetscArraymove(ap+16*i+16,ap+16*i,16*(N-i+1));CHKERRV(ierr);
1021       ierr = PetscArrayzero(ap+16*i,16);CHKERRV(ierr);
1022       rp[i]                    = bcol;
1023       ap[16*i + 4*cidx + ridx] = value;
1024 noinsert1:;
1025       low = i;
1026     }
1027     ailen[brow] = nrow;
1028   }
1029   PetscFunctionReturnVoid();
1030 }
1031 
1032 /*
1033      Checks for missing diagonals
1034 */
1035 PetscErrorCode MatMissingDiagonal_SeqBAIJ(Mat A,PetscBool  *missing,PetscInt *d)
1036 {
1037   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1038   PetscErrorCode ierr;
1039   PetscInt       *diag,*ii = a->i,i;
1040 
1041   PetscFunctionBegin;
1042   ierr     = MatMarkDiagonal_SeqBAIJ(A);CHKERRQ(ierr);
1043   *missing = PETSC_FALSE;
1044   if (A->rmap->n > 0 && !ii) {
1045     *missing = PETSC_TRUE;
1046     if (d) *d = 0;
1047     ierr = PetscInfo(A,"Matrix has no entries therefore is missing diagonal\n");CHKERRQ(ierr);
1048   } else {
1049     PetscInt n;
1050     n = PetscMin(a->mbs, a->nbs);
1051     diag = a->diag;
1052     for (i=0; i<n; i++) {
1053       if (diag[i] >= ii[i+1]) {
1054         *missing = PETSC_TRUE;
1055         if (d) *d = i;
1056         ierr = PetscInfo1(A,"Matrix is missing block diagonal number %D\n",i);CHKERRQ(ierr);
1057         break;
1058       }
1059     }
1060   }
1061   PetscFunctionReturn(0);
1062 }
1063 
1064 PetscErrorCode MatMarkDiagonal_SeqBAIJ(Mat A)
1065 {
1066   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1067   PetscErrorCode ierr;
1068   PetscInt       i,j,m = a->mbs;
1069 
1070   PetscFunctionBegin;
1071   if (!a->diag) {
1072     ierr         = PetscMalloc1(m,&a->diag);CHKERRQ(ierr);
1073     ierr         = PetscLogObjectMemory((PetscObject)A,m*sizeof(PetscInt));CHKERRQ(ierr);
1074     a->free_diag = PETSC_TRUE;
1075   }
1076   for (i=0; i<m; i++) {
1077     a->diag[i] = a->i[i+1];
1078     for (j=a->i[i]; j<a->i[i+1]; j++) {
1079       if (a->j[j] == i) {
1080         a->diag[i] = j;
1081         break;
1082       }
1083     }
1084   }
1085   PetscFunctionReturn(0);
1086 }
1087 
1088 
1089 static PetscErrorCode MatGetRowIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool blockcompressed,PetscInt *nn,const PetscInt *inia[],const PetscInt *inja[],PetscBool  *done)
1090 {
1091   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1092   PetscErrorCode ierr;
1093   PetscInt       i,j,n = a->mbs,nz = a->i[n],*tia,*tja,bs = A->rmap->bs,k,l,cnt;
1094   PetscInt       **ia = (PetscInt**)inia,**ja = (PetscInt**)inja;
1095 
1096   PetscFunctionBegin;
1097   *nn = n;
1098   if (!ia) PetscFunctionReturn(0);
1099   if (symmetric) {
1100     ierr = MatToSymmetricIJ_SeqAIJ(n,a->i,a->j,PETSC_TRUE,0,0,&tia,&tja);CHKERRQ(ierr);
1101     nz   = tia[n];
1102   } else {
1103     tia = a->i; tja = a->j;
1104   }
1105 
1106   if (!blockcompressed && bs > 1) {
1107     (*nn) *= bs;
1108     /* malloc & create the natural set of indices */
1109     ierr = PetscMalloc1((n+1)*bs,ia);CHKERRQ(ierr);
1110     if (n) {
1111       (*ia)[0] = oshift;
1112       for (j=1; j<bs; j++) {
1113         (*ia)[j] = (tia[1]-tia[0])*bs+(*ia)[j-1];
1114       }
1115     }
1116 
1117     for (i=1; i<n; i++) {
1118       (*ia)[i*bs] = (tia[i]-tia[i-1])*bs + (*ia)[i*bs-1];
1119       for (j=1; j<bs; j++) {
1120         (*ia)[i*bs+j] = (tia[i+1]-tia[i])*bs + (*ia)[i*bs+j-1];
1121       }
1122     }
1123     if (n) {
1124       (*ia)[n*bs] = (tia[n]-tia[n-1])*bs + (*ia)[n*bs-1];
1125     }
1126 
1127     if (inja) {
1128       ierr = PetscMalloc1(nz*bs*bs,ja);CHKERRQ(ierr);
1129       cnt = 0;
1130       for (i=0; i<n; i++) {
1131         for (j=0; j<bs; j++) {
1132           for (k=tia[i]; k<tia[i+1]; k++) {
1133             for (l=0; l<bs; l++) {
1134               (*ja)[cnt++] = bs*tja[k] + l;
1135             }
1136           }
1137         }
1138       }
1139     }
1140 
1141     if (symmetric) { /* deallocate memory allocated in MatToSymmetricIJ_SeqAIJ() */
1142       ierr = PetscFree(tia);CHKERRQ(ierr);
1143       ierr = PetscFree(tja);CHKERRQ(ierr);
1144     }
1145   } else if (oshift == 1) {
1146     if (symmetric) {
1147       nz = tia[A->rmap->n/bs];
1148       /*  add 1 to i and j indices */
1149       for (i=0; i<A->rmap->n/bs+1; i++) tia[i] = tia[i] + 1;
1150       *ia = tia;
1151       if (ja) {
1152         for (i=0; i<nz; i++) tja[i] = tja[i] + 1;
1153         *ja = tja;
1154       }
1155     } else {
1156       nz = a->i[A->rmap->n/bs];
1157       /* malloc space and  add 1 to i and j indices */
1158       ierr = PetscMalloc1(A->rmap->n/bs+1,ia);CHKERRQ(ierr);
1159       for (i=0; i<A->rmap->n/bs+1; i++) (*ia)[i] = a->i[i] + 1;
1160       if (ja) {
1161         ierr = PetscMalloc1(nz,ja);CHKERRQ(ierr);
1162         for (i=0; i<nz; i++) (*ja)[i] = a->j[i] + 1;
1163       }
1164     }
1165   } else {
1166     *ia = tia;
1167     if (ja) *ja = tja;
1168   }
1169   PetscFunctionReturn(0);
1170 }
1171 
1172 static PetscErrorCode MatRestoreRowIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool blockcompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
1173 {
1174   PetscErrorCode ierr;
1175 
1176   PetscFunctionBegin;
1177   if (!ia) PetscFunctionReturn(0);
1178   if ((!blockcompressed && A->rmap->bs > 1) || (symmetric || oshift == 1)) {
1179     ierr = PetscFree(*ia);CHKERRQ(ierr);
1180     if (ja) {ierr = PetscFree(*ja);CHKERRQ(ierr);}
1181   }
1182   PetscFunctionReturn(0);
1183 }
1184 
1185 PetscErrorCode MatDestroy_SeqBAIJ(Mat A)
1186 {
1187   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1188   PetscErrorCode ierr;
1189 
1190   PetscFunctionBegin;
1191 #if defined(PETSC_USE_LOG)
1192   PetscLogObjectState((PetscObject)A,"Rows=%D, Cols=%D, NZ=%D",A->rmap->N,A->cmap->n,a->nz);
1193 #endif
1194   ierr = MatSeqXAIJFreeAIJ(A,&a->a,&a->j,&a->i);CHKERRQ(ierr);
1195   ierr = ISDestroy(&a->row);CHKERRQ(ierr);
1196   ierr = ISDestroy(&a->col);CHKERRQ(ierr);
1197   if (a->free_diag) {ierr = PetscFree(a->diag);CHKERRQ(ierr);}
1198   ierr = PetscFree(a->idiag);CHKERRQ(ierr);
1199   if (a->free_imax_ilen) {ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);}
1200   ierr = PetscFree(a->solve_work);CHKERRQ(ierr);
1201   ierr = PetscFree(a->mult_work);CHKERRQ(ierr);
1202   ierr = PetscFree(a->sor_workt);CHKERRQ(ierr);
1203   ierr = PetscFree(a->sor_work);CHKERRQ(ierr);
1204   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
1205   ierr = PetscFree(a->saved_values);CHKERRQ(ierr);
1206   ierr = PetscFree2(a->compressedrow.i,a->compressedrow.rindex);CHKERRQ(ierr);
1207 
1208   ierr = MatDestroy(&a->sbaijMat);CHKERRQ(ierr);
1209   ierr = MatDestroy(&a->parent);CHKERRQ(ierr);
1210   ierr = PetscFree(A->data);CHKERRQ(ierr);
1211 
1212   ierr = PetscObjectChangeTypeName((PetscObject)A,NULL);CHKERRQ(ierr);
1213   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJGetArray_C",NULL);CHKERRQ(ierr);
1214   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJRestoreArray_C",NULL);CHKERRQ(ierr);
1215   ierr = PetscObjectComposeFunction((PetscObject)A,"MatInvertBlockDiagonal_C",NULL);CHKERRQ(ierr);
1216   ierr = PetscObjectComposeFunction((PetscObject)A,"MatStoreValues_C",NULL);CHKERRQ(ierr);
1217   ierr = PetscObjectComposeFunction((PetscObject)A,"MatRetrieveValues_C",NULL);CHKERRQ(ierr);
1218   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJSetColumnIndices_C",NULL);CHKERRQ(ierr);
1219   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqbaij_seqaij_C",NULL);CHKERRQ(ierr);
1220   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqbaij_seqsbaij_C",NULL);CHKERRQ(ierr);
1221   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJSetPreallocation_C",NULL);CHKERRQ(ierr);
1222   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJSetPreallocationCSR_C",NULL);CHKERRQ(ierr);
1223   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqbaij_seqbstrm_C",NULL);CHKERRQ(ierr);
1224   ierr = PetscObjectComposeFunction((PetscObject)A,"MatIsTranspose_C",NULL);CHKERRQ(ierr);
1225 #if defined(PETSC_HAVE_HYPRE)
1226   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqbaij_hypre_C",NULL);CHKERRQ(ierr);
1227 #endif
1228   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqbaij_is_C",NULL);CHKERRQ(ierr);
1229   PetscFunctionReturn(0);
1230 }
1231 
1232 PetscErrorCode MatSetOption_SeqBAIJ(Mat A,MatOption op,PetscBool flg)
1233 {
1234   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1235   PetscErrorCode ierr;
1236 
1237   PetscFunctionBegin;
1238   switch (op) {
1239   case MAT_ROW_ORIENTED:
1240     a->roworiented = flg;
1241     break;
1242   case MAT_KEEP_NONZERO_PATTERN:
1243     a->keepnonzeropattern = flg;
1244     break;
1245   case MAT_NEW_NONZERO_LOCATIONS:
1246     a->nonew = (flg ? 0 : 1);
1247     break;
1248   case MAT_NEW_NONZERO_LOCATION_ERR:
1249     a->nonew = (flg ? -1 : 0);
1250     break;
1251   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1252     a->nonew = (flg ? -2 : 0);
1253     break;
1254   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1255     a->nounused = (flg ? -1 : 0);
1256     break;
1257   case MAT_FORCE_DIAGONAL_ENTRIES:
1258   case MAT_IGNORE_OFF_PROC_ENTRIES:
1259   case MAT_USE_HASH_TABLE:
1260   case MAT_SORTED_FULL:
1261     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1262     break;
1263   case MAT_SPD:
1264   case MAT_SYMMETRIC:
1265   case MAT_STRUCTURALLY_SYMMETRIC:
1266   case MAT_HERMITIAN:
1267   case MAT_SYMMETRY_ETERNAL:
1268   case MAT_SUBMAT_SINGLEIS:
1269   case MAT_STRUCTURE_ONLY:
1270     /* These options are handled directly by MatSetOption() */
1271     break;
1272   default:
1273     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
1274   }
1275   PetscFunctionReturn(0);
1276 }
1277 
1278 /* used for both SeqBAIJ and SeqSBAIJ matrices */
1279 PetscErrorCode MatGetRow_SeqBAIJ_private(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v,PetscInt *ai,PetscInt *aj,PetscScalar *aa)
1280 {
1281   PetscErrorCode ierr;
1282   PetscInt       itmp,i,j,k,M,bn,bp,*idx_i,bs,bs2;
1283   MatScalar      *aa_i;
1284   PetscScalar    *v_i;
1285 
1286   PetscFunctionBegin;
1287   bs  = A->rmap->bs;
1288   bs2 = bs*bs;
1289   if (row < 0 || row >= A->rmap->N) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row %D out of range", row);
1290 
1291   bn  = row/bs;   /* Block number */
1292   bp  = row % bs; /* Block Position */
1293   M   = ai[bn+1] - ai[bn];
1294   *nz = bs*M;
1295 
1296   if (v) {
1297     *v = NULL;
1298     if (*nz) {
1299       ierr = PetscMalloc1(*nz,v);CHKERRQ(ierr);
1300       for (i=0; i<M; i++) { /* for each block in the block row */
1301         v_i  = *v + i*bs;
1302         aa_i = aa + bs2*(ai[bn] + i);
1303         for (j=bp,k=0; j<bs2; j+=bs,k++) v_i[k] = aa_i[j];
1304       }
1305     }
1306   }
1307 
1308   if (idx) {
1309     *idx = NULL;
1310     if (*nz) {
1311       ierr = PetscMalloc1(*nz,idx);CHKERRQ(ierr);
1312       for (i=0; i<M; i++) { /* for each block in the block row */
1313         idx_i = *idx + i*bs;
1314         itmp  = bs*aj[ai[bn] + i];
1315         for (j=0; j<bs; j++) idx_i[j] = itmp++;
1316       }
1317     }
1318   }
1319   PetscFunctionReturn(0);
1320 }
1321 
1322 PetscErrorCode MatGetRow_SeqBAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1323 {
1324   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1325   PetscErrorCode ierr;
1326 
1327   PetscFunctionBegin;
1328   ierr = MatGetRow_SeqBAIJ_private(A,row,nz,idx,v,a->i,a->j,a->a);CHKERRQ(ierr);
1329   PetscFunctionReturn(0);
1330 }
1331 
1332 PetscErrorCode MatRestoreRow_SeqBAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1333 {
1334   PetscErrorCode ierr;
1335 
1336   PetscFunctionBegin;
1337   if (idx) {ierr = PetscFree(*idx);CHKERRQ(ierr);}
1338   if (v)   {ierr = PetscFree(*v);CHKERRQ(ierr);}
1339   PetscFunctionReturn(0);
1340 }
1341 
1342 PetscErrorCode MatTranspose_SeqBAIJ(Mat A,MatReuse reuse,Mat *B)
1343 {
1344   Mat_SeqBAIJ    *a=(Mat_SeqBAIJ*)A->data,*at;
1345   Mat            C;
1346   PetscErrorCode ierr;
1347   PetscInt       i,j,k,*aj=a->j,*ai=a->i,bs=A->rmap->bs,mbs=a->mbs,nbs=a->nbs,*atfill;
1348   PetscInt       bs2=a->bs2,*ati,*atj,anzj,kr;
1349   MatScalar      *ata,*aa=a->a;
1350 
1351   PetscFunctionBegin;
1352   ierr = PetscCalloc1(1+nbs,&atfill);CHKERRQ(ierr);
1353   if (reuse == MAT_INITIAL_MATRIX || reuse == MAT_INPLACE_MATRIX) {
1354     for (i=0; i<ai[mbs]; i++) atfill[aj[i]] += 1; /* count num of non-zeros in row aj[i] */
1355 
1356     ierr = MatCreate(PetscObjectComm((PetscObject)A),&C);CHKERRQ(ierr);
1357     ierr = MatSetSizes(C,A->cmap->n,A->rmap->N,A->cmap->n,A->rmap->N);CHKERRQ(ierr);
1358     ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
1359     ierr = MatSeqBAIJSetPreallocation(C,bs,0,atfill);CHKERRQ(ierr);
1360 
1361     at  = (Mat_SeqBAIJ*)C->data;
1362     ati = at->i;
1363     for (i=0; i<nbs; i++) at->ilen[i] = at->imax[i] = ati[i+1] - ati[i];
1364   } else {
1365     C = *B;
1366     at = (Mat_SeqBAIJ*)C->data;
1367     ati = at->i;
1368   }
1369 
1370   atj = at->j;
1371   ata = at->a;
1372 
1373   /* Copy ati into atfill so we have locations of the next free space in atj */
1374   ierr = PetscArraycpy(atfill,ati,nbs);CHKERRQ(ierr);
1375 
1376   /* Walk through A row-wise and mark nonzero entries of A^T. */
1377   for (i=0; i<mbs; i++) {
1378     anzj = ai[i+1] - ai[i];
1379     for (j=0; j<anzj; j++) {
1380       atj[atfill[*aj]] = i;
1381       for (kr=0; kr<bs; kr++) {
1382         for (k=0; k<bs; k++) {
1383           ata[bs2*atfill[*aj]+k*bs+kr] = *aa++;
1384         }
1385       }
1386       atfill[*aj++] += 1;
1387     }
1388   }
1389   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1390   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1391 
1392   /* Clean up temporary space and complete requests. */
1393   ierr = PetscFree(atfill);CHKERRQ(ierr);
1394 
1395   if (reuse == MAT_INITIAL_MATRIX || reuse == MAT_REUSE_MATRIX) {
1396     ierr = MatSetBlockSizes(C,PetscAbs(A->cmap->bs),PetscAbs(A->rmap->bs));CHKERRQ(ierr);
1397     *B = C;
1398   } else {
1399     ierr = MatHeaderMerge(A,&C);CHKERRQ(ierr);
1400   }
1401   PetscFunctionReturn(0);
1402 }
1403 
1404 PetscErrorCode MatIsTranspose_SeqBAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
1405 {
1406   PetscErrorCode ierr;
1407   Mat            Btrans;
1408 
1409   PetscFunctionBegin;
1410   *f   = PETSC_FALSE;
1411   ierr = MatTranspose_SeqBAIJ(A,MAT_INITIAL_MATRIX,&Btrans);CHKERRQ(ierr);
1412   ierr = MatEqual_SeqBAIJ(B,Btrans,f);CHKERRQ(ierr);
1413   ierr = MatDestroy(&Btrans);CHKERRQ(ierr);
1414   PetscFunctionReturn(0);
1415 }
1416 
1417 /* Used for both SeqBAIJ and SeqSBAIJ matrices */
1418 PetscErrorCode MatView_SeqBAIJ_Binary(Mat mat,PetscViewer viewer)
1419 {
1420   Mat_SeqBAIJ    *A = (Mat_SeqBAIJ*)mat->data;
1421   PetscInt       header[4],M,N,m,bs,nz,cnt,i,j,k,l;
1422   PetscInt       *rowlens,*colidxs;
1423   PetscScalar    *matvals;
1424   PetscErrorCode ierr;
1425 
1426   PetscFunctionBegin;
1427   ierr = PetscViewerSetUp(viewer);CHKERRQ(ierr);
1428 
1429   M  = mat->rmap->N;
1430   N  = mat->cmap->N;
1431   m  = mat->rmap->n;
1432   bs = mat->rmap->bs;
1433   nz = bs*bs*A->nz;
1434 
1435   /* write matrix header */
1436   header[0] = MAT_FILE_CLASSID;
1437   header[1] = M; header[2] = N; header[3] = nz;
1438   ierr = PetscViewerBinaryWrite(viewer,header,4,PETSC_INT);CHKERRQ(ierr);
1439 
1440   /* store row lengths */
1441   ierr = PetscMalloc1(m,&rowlens);CHKERRQ(ierr);
1442   for (cnt=0, i=0; i<A->mbs; i++)
1443     for (j=0; j<bs; j++)
1444       rowlens[cnt++] = bs*(A->i[i+1] - A->i[i]);
1445   ierr = PetscViewerBinaryWrite(viewer,rowlens,m,PETSC_INT);CHKERRQ(ierr);
1446   ierr = PetscFree(rowlens);CHKERRQ(ierr);
1447 
1448   /* store column indices  */
1449   ierr = PetscMalloc1(nz,&colidxs);CHKERRQ(ierr);
1450   for (cnt=0, i=0; i<A->mbs; i++)
1451     for (k=0; k<bs; k++)
1452       for (j=A->i[i]; j<A->i[i+1]; j++)
1453         for (l=0; l<bs; l++)
1454           colidxs[cnt++] = bs*A->j[j] + l;
1455   if (cnt != nz) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_LIB,"Internal PETSc error: cnt = %D nz = %D",cnt,nz);
1456   ierr = PetscViewerBinaryWrite(viewer,colidxs,nz,PETSC_INT);CHKERRQ(ierr);
1457   ierr = PetscFree(colidxs);CHKERRQ(ierr);
1458 
1459   /* store nonzero values */
1460   ierr = PetscMalloc1(nz,&matvals);CHKERRQ(ierr);
1461   for (cnt=0, i=0; i<A->mbs; i++)
1462     for (k=0; k<bs; k++)
1463       for (j=A->i[i]; j<A->i[i+1]; j++)
1464         for (l=0; l<bs; l++)
1465           matvals[cnt++] = A->a[bs*(bs*j + l) + k];
1466   if (cnt != nz) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_LIB,"Internal PETSc error: cnt = %D nz = %D",cnt,nz);
1467   ierr = PetscViewerBinaryWrite(viewer,matvals,nz,PETSC_SCALAR);CHKERRQ(ierr);
1468   ierr = PetscFree(matvals);CHKERRQ(ierr);
1469 
1470   /* write block size option to the viewer's .info file */
1471   ierr = MatView_Binary_BlockSizes(mat,viewer);CHKERRQ(ierr);
1472   PetscFunctionReturn(0);
1473 }
1474 
1475 static PetscErrorCode MatView_SeqBAIJ_ASCII_structonly(Mat A,PetscViewer viewer)
1476 {
1477   PetscErrorCode ierr;
1478   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1479   PetscInt       i,bs = A->rmap->bs,k;
1480 
1481   PetscFunctionBegin;
1482   ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
1483   for (i=0; i<a->mbs; i++) {
1484     ierr = PetscViewerASCIIPrintf(viewer,"row %D-%D:",i*bs,i*bs+bs-1);CHKERRQ(ierr);
1485     for (k=a->i[i]; k<a->i[i+1]; k++) {
1486       ierr = PetscViewerASCIIPrintf(viewer," (%D-%D) ",bs*a->j[k],bs*a->j[k]+bs-1);CHKERRQ(ierr);
1487     }
1488     ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
1489   }
1490   ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
1491   PetscFunctionReturn(0);
1492 }
1493 
1494 static PetscErrorCode MatView_SeqBAIJ_ASCII(Mat A,PetscViewer viewer)
1495 {
1496   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
1497   PetscErrorCode    ierr;
1498   PetscInt          i,j,bs = A->rmap->bs,k,l,bs2=a->bs2;
1499   PetscViewerFormat format;
1500 
1501   PetscFunctionBegin;
1502   if (A->structure_only) {
1503     ierr = MatView_SeqBAIJ_ASCII_structonly(A,viewer);CHKERRQ(ierr);
1504     PetscFunctionReturn(0);
1505   }
1506 
1507   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1508   if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
1509     ierr = PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);CHKERRQ(ierr);
1510   } else if (format == PETSC_VIEWER_ASCII_MATLAB) {
1511     const char *matname;
1512     Mat        aij;
1513     ierr = MatConvert(A,MATSEQAIJ,MAT_INITIAL_MATRIX,&aij);CHKERRQ(ierr);
1514     ierr = PetscObjectGetName((PetscObject)A,&matname);CHKERRQ(ierr);
1515     ierr = PetscObjectSetName((PetscObject)aij,matname);CHKERRQ(ierr);
1516     ierr = MatView(aij,viewer);CHKERRQ(ierr);
1517     ierr = MatDestroy(&aij);CHKERRQ(ierr);
1518   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
1519       PetscFunctionReturn(0);
1520   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
1521     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
1522     for (i=0; i<a->mbs; i++) {
1523       for (j=0; j<bs; j++) {
1524         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i*bs+j);CHKERRQ(ierr);
1525         for (k=a->i[i]; k<a->i[i+1]; k++) {
1526           for (l=0; l<bs; l++) {
1527 #if defined(PETSC_USE_COMPLEX)
1528             if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) > 0.0 && PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
1529               ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %gi) ",bs*a->j[k]+l,
1530                                             (double)PetscRealPart(a->a[bs2*k + l*bs + j]),(double)PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1531             } else if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) < 0.0 && PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
1532               ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %gi) ",bs*a->j[k]+l,
1533                                             (double)PetscRealPart(a->a[bs2*k + l*bs + j]),-(double)PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1534             } else if (PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
1535               ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",bs*a->j[k]+l,(double)PetscRealPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1536             }
1537 #else
1538             if (a->a[bs2*k + l*bs + j] != 0.0) {
1539               ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",bs*a->j[k]+l,(double)a->a[bs2*k + l*bs + j]);CHKERRQ(ierr);
1540             }
1541 #endif
1542           }
1543         }
1544         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
1545       }
1546     }
1547     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
1548   } else {
1549     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_FALSE);CHKERRQ(ierr);
1550     for (i=0; i<a->mbs; i++) {
1551       for (j=0; j<bs; j++) {
1552         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i*bs+j);CHKERRQ(ierr);
1553         for (k=a->i[i]; k<a->i[i+1]; k++) {
1554           for (l=0; l<bs; l++) {
1555 #if defined(PETSC_USE_COMPLEX)
1556             if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) > 0.0) {
1557               ierr = PetscViewerASCIIPrintf(viewer," (%D, %g + %g i) ",bs*a->j[k]+l,
1558                                             (double)PetscRealPart(a->a[bs2*k + l*bs + j]),(double)PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1559             } else if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) < 0.0) {
1560               ierr = PetscViewerASCIIPrintf(viewer," (%D, %g - %g i) ",bs*a->j[k]+l,
1561                                             (double)PetscRealPart(a->a[bs2*k + l*bs + j]),-(double)PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1562             } else {
1563               ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",bs*a->j[k]+l,(double)PetscRealPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1564             }
1565 #else
1566             ierr = PetscViewerASCIIPrintf(viewer," (%D, %g) ",bs*a->j[k]+l,(double)a->a[bs2*k + l*bs + j]);CHKERRQ(ierr);
1567 #endif
1568           }
1569         }
1570         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
1571       }
1572     }
1573     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_TRUE);CHKERRQ(ierr);
1574   }
1575   ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1576   PetscFunctionReturn(0);
1577 }
1578 
1579 #include <petscdraw.h>
1580 static PetscErrorCode MatView_SeqBAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
1581 {
1582   Mat               A = (Mat) Aa;
1583   Mat_SeqBAIJ       *a=(Mat_SeqBAIJ*)A->data;
1584   PetscErrorCode    ierr;
1585   PetscInt          row,i,j,k,l,mbs=a->mbs,color,bs=A->rmap->bs,bs2=a->bs2;
1586   PetscReal         xl,yl,xr,yr,x_l,x_r,y_l,y_r;
1587   MatScalar         *aa;
1588   PetscViewer       viewer;
1589   PetscViewerFormat format;
1590 
1591   PetscFunctionBegin;
1592   ierr = PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer);CHKERRQ(ierr);
1593   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1594   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
1595 
1596   /* loop over matrix elements drawing boxes */
1597 
1598   if (format != PETSC_VIEWER_DRAW_CONTOUR) {
1599     ierr = PetscDrawCollectiveBegin(draw);CHKERRQ(ierr);
1600     /* Blue for negative, Cyan for zero and  Red for positive */
1601     color = PETSC_DRAW_BLUE;
1602     for (i=0,row=0; i<mbs; i++,row+=bs) {
1603       for (j=a->i[i]; j<a->i[i+1]; j++) {
1604         y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1605         x_l = a->j[j]*bs; x_r = x_l + 1.0;
1606         aa  = a->a + j*bs2;
1607         for (k=0; k<bs; k++) {
1608           for (l=0; l<bs; l++) {
1609             if (PetscRealPart(*aa++) >=  0.) continue;
1610             ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
1611           }
1612         }
1613       }
1614     }
1615     color = PETSC_DRAW_CYAN;
1616     for (i=0,row=0; i<mbs; i++,row+=bs) {
1617       for (j=a->i[i]; j<a->i[i+1]; j++) {
1618         y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1619         x_l = a->j[j]*bs; x_r = x_l + 1.0;
1620         aa  = a->a + j*bs2;
1621         for (k=0; k<bs; k++) {
1622           for (l=0; l<bs; l++) {
1623             if (PetscRealPart(*aa++) != 0.) continue;
1624             ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
1625           }
1626         }
1627       }
1628     }
1629     color = PETSC_DRAW_RED;
1630     for (i=0,row=0; i<mbs; i++,row+=bs) {
1631       for (j=a->i[i]; j<a->i[i+1]; j++) {
1632         y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1633         x_l = a->j[j]*bs; x_r = x_l + 1.0;
1634         aa  = a->a + j*bs2;
1635         for (k=0; k<bs; k++) {
1636           for (l=0; l<bs; l++) {
1637             if (PetscRealPart(*aa++) <= 0.) continue;
1638             ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
1639           }
1640         }
1641       }
1642     }
1643     ierr = PetscDrawCollectiveEnd(draw);CHKERRQ(ierr);
1644   } else {
1645     /* use contour shading to indicate magnitude of values */
1646     /* first determine max of all nonzero values */
1647     PetscReal minv = 0.0, maxv = 0.0;
1648     PetscDraw popup;
1649 
1650     for (i=0; i<a->nz*a->bs2; i++) {
1651       if (PetscAbsScalar(a->a[i]) > maxv) maxv = PetscAbsScalar(a->a[i]);
1652     }
1653     if (minv >= maxv) maxv = minv + PETSC_SMALL;
1654     ierr = PetscDrawGetPopup(draw,&popup);CHKERRQ(ierr);
1655     ierr = PetscDrawScalePopup(popup,0.0,maxv);CHKERRQ(ierr);
1656 
1657     ierr = PetscDrawCollectiveBegin(draw);CHKERRQ(ierr);
1658     for (i=0,row=0; i<mbs; i++,row+=bs) {
1659       for (j=a->i[i]; j<a->i[i+1]; j++) {
1660         y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1661         x_l = a->j[j]*bs; x_r = x_l + 1.0;
1662         aa  = a->a + j*bs2;
1663         for (k=0; k<bs; k++) {
1664           for (l=0; l<bs; l++) {
1665             MatScalar v = *aa++;
1666             color = PetscDrawRealToColor(PetscAbsScalar(v),minv,maxv);
1667             ierr  = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
1668           }
1669         }
1670       }
1671     }
1672     ierr = PetscDrawCollectiveEnd(draw);CHKERRQ(ierr);
1673   }
1674   PetscFunctionReturn(0);
1675 }
1676 
1677 static PetscErrorCode MatView_SeqBAIJ_Draw(Mat A,PetscViewer viewer)
1678 {
1679   PetscErrorCode ierr;
1680   PetscReal      xl,yl,xr,yr,w,h;
1681   PetscDraw      draw;
1682   PetscBool      isnull;
1683 
1684   PetscFunctionBegin;
1685   ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1686   ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr);
1687   if (isnull) PetscFunctionReturn(0);
1688 
1689   xr   = A->cmap->n; yr = A->rmap->N; h = yr/10.0; w = xr/10.0;
1690   xr  += w;          yr += h;        xl = -w;     yl = -h;
1691   ierr = PetscDrawSetCoordinates(draw,xl,yl,xr,yr);CHKERRQ(ierr);
1692   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer);CHKERRQ(ierr);
1693   ierr = PetscDrawZoom(draw,MatView_SeqBAIJ_Draw_Zoom,A);CHKERRQ(ierr);
1694   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",NULL);CHKERRQ(ierr);
1695   ierr = PetscDrawSave(draw);CHKERRQ(ierr);
1696   PetscFunctionReturn(0);
1697 }
1698 
1699 PetscErrorCode MatView_SeqBAIJ(Mat A,PetscViewer viewer)
1700 {
1701   PetscErrorCode ierr;
1702   PetscBool      iascii,isbinary,isdraw;
1703 
1704   PetscFunctionBegin;
1705   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1706   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1707   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1708   if (iascii) {
1709     ierr = MatView_SeqBAIJ_ASCII(A,viewer);CHKERRQ(ierr);
1710   } else if (isbinary) {
1711     ierr = MatView_SeqBAIJ_Binary(A,viewer);CHKERRQ(ierr);
1712   } else if (isdraw) {
1713     ierr = MatView_SeqBAIJ_Draw(A,viewer);CHKERRQ(ierr);
1714   } else {
1715     Mat B;
1716     ierr = MatConvert(A,MATSEQAIJ,MAT_INITIAL_MATRIX,&B);CHKERRQ(ierr);
1717     ierr = MatView(B,viewer);CHKERRQ(ierr);
1718     ierr = MatDestroy(&B);CHKERRQ(ierr);
1719   }
1720   PetscFunctionReturn(0);
1721 }
1722 
1723 
1724 PetscErrorCode MatGetValues_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],PetscScalar v[])
1725 {
1726   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
1727   PetscInt    *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
1728   PetscInt    *ai = a->i,*ailen = a->ilen;
1729   PetscInt    brow,bcol,ridx,cidx,bs=A->rmap->bs,bs2=a->bs2;
1730   MatScalar   *ap,*aa = a->a;
1731 
1732   PetscFunctionBegin;
1733   for (k=0; k<m; k++) { /* loop over rows */
1734     row = im[k]; brow = row/bs;
1735     if (row < 0) {v += n; continue;} /* SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row"); */
1736     if (row >= A->rmap->N) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row %D too large", row);
1737     rp   = aj + ai[brow]; ap = aa + bs2*ai[brow];
1738     nrow = ailen[brow];
1739     for (l=0; l<n; l++) { /* loop over columns */
1740       if (in[l] < 0) {v++; continue;} /* SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column"); */
1741       if (in[l] >= A->cmap->n) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column %D too large", in[l]);
1742       col  = in[l];
1743       bcol = col/bs;
1744       cidx = col%bs;
1745       ridx = row%bs;
1746       high = nrow;
1747       low  = 0; /* assume unsorted */
1748       while (high-low > 5) {
1749         t = (low+high)/2;
1750         if (rp[t] > bcol) high = t;
1751         else             low  = t;
1752       }
1753       for (i=low; i<high; i++) {
1754         if (rp[i] > bcol) break;
1755         if (rp[i] == bcol) {
1756           *v++ = ap[bs2*i+bs*cidx+ridx];
1757           goto finished;
1758         }
1759       }
1760       *v++ = 0.0;
1761 finished:;
1762     }
1763   }
1764   PetscFunctionReturn(0);
1765 }
1766 
1767 PetscErrorCode MatPermute_SeqBAIJ(Mat A,IS rowp,IS colp,Mat *B)
1768 {
1769   PetscErrorCode ierr;
1770 
1771   PetscFunctionBegin;
1772   ierr = MatCreateSubMatrix(A,rowp,colp,MAT_INITIAL_MATRIX,B);CHKERRQ(ierr);
1773   PetscFunctionReturn(0);
1774 }
1775 
1776 PetscErrorCode MatSetValuesBlocked_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
1777 {
1778   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
1779   PetscInt          *rp,k,low,high,t,ii,jj,row,nrow,i,col,l,rmax,N,lastcol = -1;
1780   PetscInt          *imax=a->imax,*ai=a->i,*ailen=a->ilen;
1781   PetscErrorCode    ierr;
1782   PetscInt          *aj        =a->j,nonew=a->nonew,bs2=a->bs2,bs=A->rmap->bs,stepval;
1783   PetscBool         roworiented=a->roworiented;
1784   const PetscScalar *value     = v;
1785   MatScalar         *ap=NULL,*aa = a->a,*bap;
1786 
1787   PetscFunctionBegin;
1788   if (roworiented) {
1789     stepval = (n-1)*bs;
1790   } else {
1791     stepval = (m-1)*bs;
1792   }
1793   for (k=0; k<m; k++) { /* loop over added rows */
1794     row = im[k];
1795     if (row < 0) continue;
1796     if (PetscUnlikelyDebug(row >= a->mbs)) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Block row index too large %D max %D",row,a->mbs-1);
1797     rp   = aj + ai[row];
1798     if (!A->structure_only) ap = aa + bs2*ai[row];
1799     rmax = imax[row];
1800     nrow = ailen[row];
1801     low  = 0;
1802     high = nrow;
1803     for (l=0; l<n; l++) { /* loop over added columns */
1804       if (in[l] < 0) continue;
1805       if (PetscUnlikelyDebug(in[l] >= a->nbs)) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Block column index too large %D max %D",in[l],a->nbs-1);
1806       col = in[l];
1807       if (!A->structure_only) {
1808         if (roworiented) {
1809           value = v + (k*(stepval+bs) + l)*bs;
1810         } else {
1811           value = v + (l*(stepval+bs) + k)*bs;
1812         }
1813       }
1814       if (col <= lastcol) low = 0;
1815       else high = nrow;
1816       lastcol = col;
1817       while (high-low > 7) {
1818         t = (low+high)/2;
1819         if (rp[t] > col) high = t;
1820         else             low  = t;
1821       }
1822       for (i=low; i<high; i++) {
1823         if (rp[i] > col) break;
1824         if (rp[i] == col) {
1825           if (A->structure_only) goto noinsert2;
1826           bap = ap +  bs2*i;
1827           if (roworiented) {
1828             if (is == ADD_VALUES) {
1829               for (ii=0; ii<bs; ii++,value+=stepval) {
1830                 for (jj=ii; jj<bs2; jj+=bs) {
1831                   bap[jj] += *value++;
1832                 }
1833               }
1834             } else {
1835               for (ii=0; ii<bs; ii++,value+=stepval) {
1836                 for (jj=ii; jj<bs2; jj+=bs) {
1837                   bap[jj] = *value++;
1838                 }
1839               }
1840             }
1841           } else {
1842             if (is == ADD_VALUES) {
1843               for (ii=0; ii<bs; ii++,value+=bs+stepval) {
1844                 for (jj=0; jj<bs; jj++) {
1845                   bap[jj] += value[jj];
1846                 }
1847                 bap += bs;
1848               }
1849             } else {
1850               for (ii=0; ii<bs; ii++,value+=bs+stepval) {
1851                 for (jj=0; jj<bs; jj++) {
1852                   bap[jj]  = value[jj];
1853                 }
1854                 bap += bs;
1855               }
1856             }
1857           }
1858           goto noinsert2;
1859         }
1860       }
1861       if (nonew == 1) goto noinsert2;
1862       if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new blocked index new nonzero block (%D, %D) in the matrix", row, col);
1863       if (A->structure_only) {
1864         MatSeqXAIJReallocateAIJ_structure_only(A,a->mbs,bs2,nrow,row,col,rmax,ai,aj,rp,imax,nonew,MatScalar);
1865       } else {
1866         MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
1867       }
1868       N = nrow++ - 1; high++;
1869       /* shift up all the later entries in this row */
1870       ierr  = PetscArraymove(rp+i+1,rp+i,N-i+1);CHKERRQ(ierr);
1871       rp[i] = col;
1872       if (!A->structure_only) {
1873         ierr = PetscArraymove(ap+bs2*(i+1),ap+bs2*i,bs2*(N-i+1));CHKERRQ(ierr);
1874         bap   = ap +  bs2*i;
1875         if (roworiented) {
1876           for (ii=0; ii<bs; ii++,value+=stepval) {
1877             for (jj=ii; jj<bs2; jj+=bs) {
1878               bap[jj] = *value++;
1879             }
1880           }
1881         } else {
1882           for (ii=0; ii<bs; ii++,value+=stepval) {
1883             for (jj=0; jj<bs; jj++) {
1884               *bap++ = *value++;
1885             }
1886           }
1887         }
1888       }
1889 noinsert2:;
1890       low = i;
1891     }
1892     ailen[row] = nrow;
1893   }
1894   PetscFunctionReturn(0);
1895 }
1896 
1897 PetscErrorCode MatAssemblyEnd_SeqBAIJ(Mat A,MatAssemblyType mode)
1898 {
1899   Mat_SeqBAIJ    *a     = (Mat_SeqBAIJ*)A->data;
1900   PetscInt       fshift = 0,i,*ai = a->i,*aj = a->j,*imax = a->imax;
1901   PetscInt       m      = A->rmap->N,*ip,N,*ailen = a->ilen;
1902   PetscErrorCode ierr;
1903   PetscInt       mbs  = a->mbs,bs2 = a->bs2,rmax = 0;
1904   MatScalar      *aa  = a->a,*ap;
1905   PetscReal      ratio=0.6;
1906 
1907   PetscFunctionBegin;
1908   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
1909 
1910   if (m) rmax = ailen[0];
1911   for (i=1; i<mbs; i++) {
1912     /* move each row back by the amount of empty slots (fshift) before it*/
1913     fshift += imax[i-1] - ailen[i-1];
1914     rmax    = PetscMax(rmax,ailen[i]);
1915     if (fshift) {
1916       ip = aj + ai[i];
1917       ap = aa + bs2*ai[i];
1918       N  = ailen[i];
1919       ierr = PetscArraymove(ip-fshift,ip,N);CHKERRQ(ierr);
1920       if (!A->structure_only) {
1921         ierr = PetscArraymove(ap-bs2*fshift,ap,bs2*N);CHKERRQ(ierr);
1922       }
1923     }
1924     ai[i] = ai[i-1] + ailen[i-1];
1925   }
1926   if (mbs) {
1927     fshift += imax[mbs-1] - ailen[mbs-1];
1928     ai[mbs] = ai[mbs-1] + ailen[mbs-1];
1929   }
1930 
1931   /* reset ilen and imax for each row */
1932   a->nonzerorowcnt = 0;
1933   if (A->structure_only) {
1934     ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);
1935   } else { /* !A->structure_only */
1936     for (i=0; i<mbs; i++) {
1937       ailen[i] = imax[i] = ai[i+1] - ai[i];
1938       a->nonzerorowcnt += ((ai[i+1] - ai[i]) > 0);
1939     }
1940   }
1941   a->nz = ai[mbs];
1942 
1943   /* diagonals may have moved, so kill the diagonal pointers */
1944   a->idiagvalid = PETSC_FALSE;
1945   if (fshift && a->diag) {
1946     ierr    = PetscFree(a->diag);CHKERRQ(ierr);
1947     ierr    = PetscLogObjectMemory((PetscObject)A,-(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
1948     a->diag = NULL;
1949   }
1950   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);
1951   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);
1952   ierr = PetscInfo1(A,"Number of mallocs during MatSetValues is %D\n",a->reallocs);CHKERRQ(ierr);
1953   ierr = PetscInfo1(A,"Most nonzeros blocks in any row is %D\n",rmax);CHKERRQ(ierr);
1954 
1955   A->info.mallocs    += a->reallocs;
1956   a->reallocs         = 0;
1957   A->info.nz_unneeded = (PetscReal)fshift*bs2;
1958   a->rmax             = rmax;
1959 
1960   if (!A->structure_only) {
1961     ierr = MatCheckCompressedRow(A,a->nonzerorowcnt,&a->compressedrow,a->i,mbs,ratio);CHKERRQ(ierr);
1962   }
1963   PetscFunctionReturn(0);
1964 }
1965 
1966 /*
1967    This function returns an array of flags which indicate the locations of contiguous
1968    blocks that should be zeroed. for eg: if bs = 3  and is = [0,1,2,3,5,6,7,8,9]
1969    then the resulting sizes = [3,1,1,3,1] correspondig to sets [(0,1,2),(3),(5),(6,7,8),(9)]
1970    Assume: sizes should be long enough to hold all the values.
1971 */
1972 static PetscErrorCode MatZeroRows_SeqBAIJ_Check_Blocks(PetscInt idx[],PetscInt n,PetscInt bs,PetscInt sizes[], PetscInt *bs_max)
1973 {
1974   PetscInt  i,j,k,row;
1975   PetscBool flg;
1976 
1977   PetscFunctionBegin;
1978   for (i=0,j=0; i<n; j++) {
1979     row = idx[i];
1980     if (row%bs!=0) { /* Not the begining of a block */
1981       sizes[j] = 1;
1982       i++;
1983     } else if (i+bs > n) { /* complete block doesn't exist (at idx end) */
1984       sizes[j] = 1;         /* Also makes sure atleast 'bs' values exist for next else */
1985       i++;
1986     } else { /* Begining of the block, so check if the complete block exists */
1987       flg = PETSC_TRUE;
1988       for (k=1; k<bs; k++) {
1989         if (row+k != idx[i+k]) { /* break in the block */
1990           flg = PETSC_FALSE;
1991           break;
1992         }
1993       }
1994       if (flg) { /* No break in the bs */
1995         sizes[j] = bs;
1996         i       += bs;
1997       } else {
1998         sizes[j] = 1;
1999         i++;
2000       }
2001     }
2002   }
2003   *bs_max = j;
2004   PetscFunctionReturn(0);
2005 }
2006 
2007 PetscErrorCode MatZeroRows_SeqBAIJ(Mat A,PetscInt is_n,const PetscInt is_idx[],PetscScalar diag,Vec x, Vec b)
2008 {
2009   Mat_SeqBAIJ       *baij=(Mat_SeqBAIJ*)A->data;
2010   PetscErrorCode    ierr;
2011   PetscInt          i,j,k,count,*rows;
2012   PetscInt          bs=A->rmap->bs,bs2=baij->bs2,*sizes,row,bs_max;
2013   PetscScalar       zero = 0.0;
2014   MatScalar         *aa;
2015   const PetscScalar *xx;
2016   PetscScalar       *bb;
2017 
2018   PetscFunctionBegin;
2019   /* fix right hand side if needed */
2020   if (x && b) {
2021     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
2022     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
2023     for (i=0; i<is_n; i++) {
2024       bb[is_idx[i]] = diag*xx[is_idx[i]];
2025     }
2026     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
2027     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
2028   }
2029 
2030   /* Make a copy of the IS and  sort it */
2031   /* allocate memory for rows,sizes */
2032   ierr = PetscMalloc2(is_n,&rows,2*is_n,&sizes);CHKERRQ(ierr);
2033 
2034   /* copy IS values to rows, and sort them */
2035   for (i=0; i<is_n; i++) rows[i] = is_idx[i];
2036   ierr = PetscSortInt(is_n,rows);CHKERRQ(ierr);
2037 
2038   if (baij->keepnonzeropattern) {
2039     for (i=0; i<is_n; i++) sizes[i] = 1;
2040     bs_max          = is_n;
2041   } else {
2042     ierr = MatZeroRows_SeqBAIJ_Check_Blocks(rows,is_n,bs,sizes,&bs_max);CHKERRQ(ierr);
2043     A->nonzerostate++;
2044   }
2045 
2046   for (i=0,j=0; i<bs_max; j+=sizes[i],i++) {
2047     row = rows[j];
2048     if (row < 0 || row > A->rmap->N) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range",row);
2049     count = (baij->i[row/bs +1] - baij->i[row/bs])*bs;
2050     aa    = ((MatScalar*)(baij->a)) + baij->i[row/bs]*bs2 + (row%bs);
2051     if (sizes[i] == bs && !baij->keepnonzeropattern) {
2052       if (diag != (PetscScalar)0.0) {
2053         if (baij->ilen[row/bs] > 0) {
2054           baij->ilen[row/bs]       = 1;
2055           baij->j[baij->i[row/bs]] = row/bs;
2056 
2057           ierr = PetscArrayzero(aa,count*bs);CHKERRQ(ierr);
2058         }
2059         /* Now insert all the diagonal values for this bs */
2060         for (k=0; k<bs; k++) {
2061           ierr = (*A->ops->setvalues)(A,1,rows+j+k,1,rows+j+k,&diag,INSERT_VALUES);CHKERRQ(ierr);
2062         }
2063       } else { /* (diag == 0.0) */
2064         baij->ilen[row/bs] = 0;
2065       } /* end (diag == 0.0) */
2066     } else { /* (sizes[i] != bs) */
2067       if (PetscUnlikelyDebug(sizes[i] != 1)) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Internal Error. Value should be 1");
2068       for (k=0; k<count; k++) {
2069         aa[0] =  zero;
2070         aa   += bs;
2071       }
2072       if (diag != (PetscScalar)0.0) {
2073         ierr = (*A->ops->setvalues)(A,1,rows+j,1,rows+j,&diag,INSERT_VALUES);CHKERRQ(ierr);
2074       }
2075     }
2076   }
2077 
2078   ierr = PetscFree2(rows,sizes);CHKERRQ(ierr);
2079   ierr = MatAssemblyEnd_SeqBAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2080   PetscFunctionReturn(0);
2081 }
2082 
2083 PetscErrorCode MatZeroRowsColumns_SeqBAIJ(Mat A,PetscInt is_n,const PetscInt is_idx[],PetscScalar diag,Vec x, Vec b)
2084 {
2085   Mat_SeqBAIJ       *baij=(Mat_SeqBAIJ*)A->data;
2086   PetscErrorCode    ierr;
2087   PetscInt          i,j,k,count;
2088   PetscInt          bs   =A->rmap->bs,bs2=baij->bs2,row,col;
2089   PetscScalar       zero = 0.0;
2090   MatScalar         *aa;
2091   const PetscScalar *xx;
2092   PetscScalar       *bb;
2093   PetscBool         *zeroed,vecs = PETSC_FALSE;
2094 
2095   PetscFunctionBegin;
2096   /* fix right hand side if needed */
2097   if (x && b) {
2098     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
2099     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
2100     vecs = PETSC_TRUE;
2101   }
2102 
2103   /* zero the columns */
2104   ierr = PetscCalloc1(A->rmap->n,&zeroed);CHKERRQ(ierr);
2105   for (i=0; i<is_n; i++) {
2106     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]);
2107     zeroed[is_idx[i]] = PETSC_TRUE;
2108   }
2109   for (i=0; i<A->rmap->N; i++) {
2110     if (!zeroed[i]) {
2111       row = i/bs;
2112       for (j=baij->i[row]; j<baij->i[row+1]; j++) {
2113         for (k=0; k<bs; k++) {
2114           col = bs*baij->j[j] + k;
2115           if (zeroed[col]) {
2116             aa = ((MatScalar*)(baij->a)) + j*bs2 + (i%bs) + bs*k;
2117             if (vecs) bb[i] -= aa[0]*xx[col];
2118             aa[0] = 0.0;
2119           }
2120         }
2121       }
2122     } else if (vecs) bb[i] = diag*xx[i];
2123   }
2124   ierr = PetscFree(zeroed);CHKERRQ(ierr);
2125   if (vecs) {
2126     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
2127     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
2128   }
2129 
2130   /* zero the rows */
2131   for (i=0; i<is_n; i++) {
2132     row   = is_idx[i];
2133     count = (baij->i[row/bs +1] - baij->i[row/bs])*bs;
2134     aa    = ((MatScalar*)(baij->a)) + baij->i[row/bs]*bs2 + (row%bs);
2135     for (k=0; k<count; k++) {
2136       aa[0] =  zero;
2137       aa   += bs;
2138     }
2139     if (diag != (PetscScalar)0.0) {
2140       ierr = (*A->ops->setvalues)(A,1,&row,1,&row,&diag,INSERT_VALUES);CHKERRQ(ierr);
2141     }
2142   }
2143   ierr = MatAssemblyEnd_SeqBAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2144   PetscFunctionReturn(0);
2145 }
2146 
2147 PetscErrorCode MatSetValues_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
2148 {
2149   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2150   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N,lastcol = -1;
2151   PetscInt       *imax=a->imax,*ai=a->i,*ailen=a->ilen;
2152   PetscInt       *aj  =a->j,nonew=a->nonew,bs=A->rmap->bs,brow,bcol;
2153   PetscErrorCode ierr;
2154   PetscInt       ridx,cidx,bs2=a->bs2;
2155   PetscBool      roworiented=a->roworiented;
2156   MatScalar      *ap=NULL,value=0.0,*aa=a->a,*bap;
2157 
2158   PetscFunctionBegin;
2159   for (k=0; k<m; k++) { /* loop over added rows */
2160     row  = im[k];
2161     brow = row/bs;
2162     if (row < 0) continue;
2163     if (PetscUnlikelyDebug(row >= A->rmap->N)) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,A->rmap->N-1);
2164     rp   = aj + ai[brow];
2165     if (!A->structure_only) ap = aa + bs2*ai[brow];
2166     rmax = imax[brow];
2167     nrow = ailen[brow];
2168     low  = 0;
2169     high = nrow;
2170     for (l=0; l<n; l++) { /* loop over added columns */
2171       if (in[l] < 0) continue;
2172       if (PetscUnlikelyDebug(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);
2173       col  = in[l]; bcol = col/bs;
2174       ridx = row % bs; cidx = col % bs;
2175       if (!A->structure_only) {
2176         if (roworiented) {
2177           value = v[l + k*n];
2178         } else {
2179           value = v[k + l*m];
2180         }
2181       }
2182       if (col <= lastcol) low = 0; else high = nrow;
2183       lastcol = col;
2184       while (high-low > 7) {
2185         t = (low+high)/2;
2186         if (rp[t] > bcol) high = t;
2187         else              low  = t;
2188       }
2189       for (i=low; i<high; i++) {
2190         if (rp[i] > bcol) break;
2191         if (rp[i] == bcol) {
2192           bap = ap +  bs2*i + bs*cidx + ridx;
2193           if (!A->structure_only) {
2194             if (is == ADD_VALUES) *bap += value;
2195             else                  *bap  = value;
2196           }
2197           goto noinsert1;
2198         }
2199       }
2200       if (nonew == 1) goto noinsert1;
2201       if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) in the matrix", row, col);
2202       if (A->structure_only) {
2203         MatSeqXAIJReallocateAIJ_structure_only(A,a->mbs,bs2,nrow,brow,bcol,rmax,ai,aj,rp,imax,nonew,MatScalar);
2204       } else {
2205         MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
2206       }
2207       N = nrow++ - 1; high++;
2208       /* shift up all the later entries in this row */
2209       ierr  = PetscArraymove(rp+i+1,rp+i,N-i+1);CHKERRQ(ierr);
2210       rp[i] = bcol;
2211       if (!A->structure_only) {
2212         ierr = PetscArraymove(ap+bs2*(i+1),ap+bs2*i,bs2*(N-i+1));CHKERRQ(ierr);
2213         ierr = PetscArrayzero(ap+bs2*i,bs2);CHKERRQ(ierr);
2214         ap[bs2*i + bs*cidx + ridx] = value;
2215       }
2216       a->nz++;
2217       A->nonzerostate++;
2218 noinsert1:;
2219       low = i;
2220     }
2221     ailen[brow] = nrow;
2222   }
2223   PetscFunctionReturn(0);
2224 }
2225 
2226 PetscErrorCode MatILUFactor_SeqBAIJ(Mat inA,IS row,IS col,const MatFactorInfo *info)
2227 {
2228   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)inA->data;
2229   Mat            outA;
2230   PetscErrorCode ierr;
2231   PetscBool      row_identity,col_identity;
2232 
2233   PetscFunctionBegin;
2234   if (info->levels != 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only levels = 0 supported for in-place ILU");
2235   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
2236   ierr = ISIdentity(col,&col_identity);CHKERRQ(ierr);
2237   if (!row_identity || !col_identity) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Row and column permutations must be identity for in-place ILU");
2238 
2239   outA            = inA;
2240   inA->factortype = MAT_FACTOR_LU;
2241   ierr = PetscFree(inA->solvertype);CHKERRQ(ierr);
2242   ierr = PetscStrallocpy(MATSOLVERPETSC,&inA->solvertype);CHKERRQ(ierr);
2243 
2244   ierr = MatMarkDiagonal_SeqBAIJ(inA);CHKERRQ(ierr);
2245 
2246   ierr   = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
2247   ierr   = ISDestroy(&a->row);CHKERRQ(ierr);
2248   a->row = row;
2249   ierr   = PetscObjectReference((PetscObject)col);CHKERRQ(ierr);
2250   ierr   = ISDestroy(&a->col);CHKERRQ(ierr);
2251   a->col = col;
2252 
2253   /* Create the invert permutation so that it can be used in MatLUFactorNumeric() */
2254   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
2255   ierr = ISInvertPermutation(col,PETSC_DECIDE,&a->icol);CHKERRQ(ierr);
2256   ierr = PetscLogObjectParent((PetscObject)inA,(PetscObject)a->icol);CHKERRQ(ierr);
2257 
2258   ierr = MatSeqBAIJSetNumericFactorization_inplace(inA,(PetscBool)(row_identity && col_identity));CHKERRQ(ierr);
2259   if (!a->solve_work) {
2260     ierr = PetscMalloc1(inA->rmap->N+inA->rmap->bs,&a->solve_work);CHKERRQ(ierr);
2261     ierr = PetscLogObjectMemory((PetscObject)inA,(inA->rmap->N+inA->rmap->bs)*sizeof(PetscScalar));CHKERRQ(ierr);
2262   }
2263   ierr = MatLUFactorNumeric(outA,inA,info);CHKERRQ(ierr);
2264   PetscFunctionReturn(0);
2265 }
2266 
2267 PetscErrorCode  MatSeqBAIJSetColumnIndices_SeqBAIJ(Mat mat,PetscInt *indices)
2268 {
2269   Mat_SeqBAIJ *baij = (Mat_SeqBAIJ*)mat->data;
2270   PetscInt    i,nz,mbs;
2271 
2272   PetscFunctionBegin;
2273   nz  = baij->maxnz;
2274   mbs = baij->mbs;
2275   for (i=0; i<nz; i++) {
2276     baij->j[i] = indices[i];
2277   }
2278   baij->nz = nz;
2279   for (i=0; i<mbs; i++) {
2280     baij->ilen[i] = baij->imax[i];
2281   }
2282   PetscFunctionReturn(0);
2283 }
2284 
2285 /*@
2286     MatSeqBAIJSetColumnIndices - Set the column indices for all the rows
2287        in the matrix.
2288 
2289   Input Parameters:
2290 +  mat - the SeqBAIJ matrix
2291 -  indices - the column indices
2292 
2293   Level: advanced
2294 
2295   Notes:
2296     This can be called if you have precomputed the nonzero structure of the
2297   matrix and want to provide it to the matrix object to improve the performance
2298   of the MatSetValues() operation.
2299 
2300     You MUST have set the correct numbers of nonzeros per row in the call to
2301   MatCreateSeqBAIJ(), and the columns indices MUST be sorted.
2302 
2303     MUST be called before any calls to MatSetValues();
2304 
2305 @*/
2306 PetscErrorCode  MatSeqBAIJSetColumnIndices(Mat mat,PetscInt *indices)
2307 {
2308   PetscErrorCode ierr;
2309 
2310   PetscFunctionBegin;
2311   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2312   PetscValidPointer(indices,2);
2313   ierr = PetscUseMethod(mat,"MatSeqBAIJSetColumnIndices_C",(Mat,PetscInt*),(mat,indices));CHKERRQ(ierr);
2314   PetscFunctionReturn(0);
2315 }
2316 
2317 PetscErrorCode MatGetRowMaxAbs_SeqBAIJ(Mat A,Vec v,PetscInt idx[])
2318 {
2319   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2320   PetscErrorCode ierr;
2321   PetscInt       i,j,n,row,bs,*ai,*aj,mbs;
2322   PetscReal      atmp;
2323   PetscScalar    *x,zero = 0.0;
2324   MatScalar      *aa;
2325   PetscInt       ncols,brow,krow,kcol;
2326 
2327   PetscFunctionBegin;
2328   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2329   bs  = A->rmap->bs;
2330   aa  = a->a;
2331   ai  = a->i;
2332   aj  = a->j;
2333   mbs = a->mbs;
2334 
2335   ierr = VecSet(v,zero);CHKERRQ(ierr);
2336   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2337   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2338   if (n != A->rmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2339   for (i=0; i<mbs; i++) {
2340     ncols = ai[1] - ai[0]; ai++;
2341     brow  = bs*i;
2342     for (j=0; j<ncols; j++) {
2343       for (kcol=0; kcol<bs; kcol++) {
2344         for (krow=0; krow<bs; krow++) {
2345           atmp = PetscAbsScalar(*aa);aa++;
2346           row  = brow + krow;   /* row index */
2347           if (PetscAbsScalar(x[row]) < atmp) {x[row] = atmp; if (idx) idx[row] = bs*(*aj) + kcol;}
2348         }
2349       }
2350       aj++;
2351     }
2352   }
2353   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2354   PetscFunctionReturn(0);
2355 }
2356 
2357 PetscErrorCode MatCopy_SeqBAIJ(Mat A,Mat B,MatStructure str)
2358 {
2359   PetscErrorCode ierr;
2360 
2361   PetscFunctionBegin;
2362   /* If the two matrices have the same copy implementation, use fast copy. */
2363   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
2364     Mat_SeqBAIJ *a  = (Mat_SeqBAIJ*)A->data;
2365     Mat_SeqBAIJ *b  = (Mat_SeqBAIJ*)B->data;
2366     PetscInt    ambs=a->mbs,bmbs=b->mbs,abs=A->rmap->bs,bbs=B->rmap->bs,bs2=abs*abs;
2367 
2368     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]);
2369     if (abs != bbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Block size A %D and B %D are different",abs,bbs);
2370     ierr = PetscArraycpy(b->a,a->a,bs2*a->i[ambs]);CHKERRQ(ierr);
2371     ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
2372   } else {
2373     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
2374   }
2375   PetscFunctionReturn(0);
2376 }
2377 
2378 PetscErrorCode MatSetUp_SeqBAIJ(Mat A)
2379 {
2380   PetscErrorCode ierr;
2381 
2382   PetscFunctionBegin;
2383   ierr = MatSeqBAIJSetPreallocation(A,A->rmap->bs,PETSC_DEFAULT,NULL);CHKERRQ(ierr);
2384   PetscFunctionReturn(0);
2385 }
2386 
2387 static PetscErrorCode MatSeqBAIJGetArray_SeqBAIJ(Mat A,PetscScalar *array[])
2388 {
2389   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
2390 
2391   PetscFunctionBegin;
2392   *array = a->a;
2393   PetscFunctionReturn(0);
2394 }
2395 
2396 static PetscErrorCode MatSeqBAIJRestoreArray_SeqBAIJ(Mat A,PetscScalar *array[])
2397 {
2398   PetscFunctionBegin;
2399   *array = NULL;
2400   PetscFunctionReturn(0);
2401 }
2402 
2403 PetscErrorCode MatAXPYGetPreallocation_SeqBAIJ(Mat Y,Mat X,PetscInt *nnz)
2404 {
2405   PetscInt       bs = Y->rmap->bs,mbs = Y->rmap->N/bs;
2406   Mat_SeqBAIJ    *x = (Mat_SeqBAIJ*)X->data;
2407   Mat_SeqBAIJ    *y = (Mat_SeqBAIJ*)Y->data;
2408   PetscErrorCode ierr;
2409 
2410   PetscFunctionBegin;
2411   /* Set the number of nonzeros in the new matrix */
2412   ierr = MatAXPYGetPreallocation_SeqX_private(mbs,x->i,x->j,y->i,y->j,nnz);CHKERRQ(ierr);
2413   PetscFunctionReturn(0);
2414 }
2415 
2416 PetscErrorCode MatAXPY_SeqBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
2417 {
2418   Mat_SeqBAIJ    *x = (Mat_SeqBAIJ*)X->data,*y = (Mat_SeqBAIJ*)Y->data;
2419   PetscErrorCode ierr;
2420   PetscInt       bs=Y->rmap->bs,bs2=bs*bs;
2421   PetscBLASInt   one=1;
2422 
2423   PetscFunctionBegin;
2424   if (str == SAME_NONZERO_PATTERN) {
2425     PetscScalar  alpha = a;
2426     PetscBLASInt bnz;
2427     ierr = PetscBLASIntCast(x->nz*bs2,&bnz);CHKERRQ(ierr);
2428     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
2429     ierr = PetscObjectStateIncrease((PetscObject)Y);CHKERRQ(ierr);
2430   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
2431     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
2432   } else {
2433     Mat      B;
2434     PetscInt *nnz;
2435     if (bs != X->rmap->bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Matrices must have same block size");
2436     ierr = PetscMalloc1(Y->rmap->N,&nnz);CHKERRQ(ierr);
2437     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
2438     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
2439     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
2440     ierr = MatSetBlockSizesFromMats(B,Y,Y);CHKERRQ(ierr);
2441     ierr = MatSetType(B,(MatType) ((PetscObject)Y)->type_name);CHKERRQ(ierr);
2442     ierr = MatAXPYGetPreallocation_SeqBAIJ(Y,X,nnz);CHKERRQ(ierr);
2443     ierr = MatSeqBAIJSetPreallocation(B,bs,0,nnz);CHKERRQ(ierr);
2444     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
2445     ierr = MatHeaderReplace(Y,&B);CHKERRQ(ierr);
2446     ierr = PetscFree(nnz);CHKERRQ(ierr);
2447   }
2448   PetscFunctionReturn(0);
2449 }
2450 
2451 PetscErrorCode MatRealPart_SeqBAIJ(Mat A)
2452 {
2453   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
2454   PetscInt    i,nz = a->bs2*a->i[a->mbs];
2455   MatScalar   *aa = a->a;
2456 
2457   PetscFunctionBegin;
2458   for (i=0; i<nz; i++) aa[i] = PetscRealPart(aa[i]);
2459   PetscFunctionReturn(0);
2460 }
2461 
2462 PetscErrorCode MatImaginaryPart_SeqBAIJ(Mat A)
2463 {
2464   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
2465   PetscInt    i,nz = a->bs2*a->i[a->mbs];
2466   MatScalar   *aa = a->a;
2467 
2468   PetscFunctionBegin;
2469   for (i=0; i<nz; i++) aa[i] = PetscImaginaryPart(aa[i]);
2470   PetscFunctionReturn(0);
2471 }
2472 
2473 /*
2474     Code almost identical to MatGetColumnIJ_SeqAIJ() should share common code
2475 */
2476 PetscErrorCode MatGetColumnIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
2477 {
2478   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2479   PetscErrorCode ierr;
2480   PetscInt       bs = A->rmap->bs,i,*collengths,*cia,*cja,n = A->cmap->n/bs,m = A->rmap->n/bs;
2481   PetscInt       nz = a->i[m],row,*jj,mr,col;
2482 
2483   PetscFunctionBegin;
2484   *nn = n;
2485   if (!ia) PetscFunctionReturn(0);
2486   if (symmetric) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not for BAIJ matrices");
2487   else {
2488     ierr = PetscCalloc1(n,&collengths);CHKERRQ(ierr);
2489     ierr = PetscMalloc1(n+1,&cia);CHKERRQ(ierr);
2490     ierr = PetscMalloc1(nz,&cja);CHKERRQ(ierr);
2491     jj   = a->j;
2492     for (i=0; i<nz; i++) {
2493       collengths[jj[i]]++;
2494     }
2495     cia[0] = oshift;
2496     for (i=0; i<n; i++) {
2497       cia[i+1] = cia[i] + collengths[i];
2498     }
2499     ierr = PetscArrayzero(collengths,n);CHKERRQ(ierr);
2500     jj   = a->j;
2501     for (row=0; row<m; row++) {
2502       mr = a->i[row+1] - a->i[row];
2503       for (i=0; i<mr; i++) {
2504         col = *jj++;
2505 
2506         cja[cia[col] + collengths[col]++ - oshift] = row + oshift;
2507       }
2508     }
2509     ierr = PetscFree(collengths);CHKERRQ(ierr);
2510     *ia  = cia; *ja = cja;
2511   }
2512   PetscFunctionReturn(0);
2513 }
2514 
2515 PetscErrorCode MatRestoreColumnIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
2516 {
2517   PetscErrorCode ierr;
2518 
2519   PetscFunctionBegin;
2520   if (!ia) PetscFunctionReturn(0);
2521   ierr = PetscFree(*ia);CHKERRQ(ierr);
2522   ierr = PetscFree(*ja);CHKERRQ(ierr);
2523   PetscFunctionReturn(0);
2524 }
2525 
2526 /*
2527  MatGetColumnIJ_SeqBAIJ_Color() and MatRestoreColumnIJ_SeqBAIJ_Color() are customized from
2528  MatGetColumnIJ_SeqBAIJ() and MatRestoreColumnIJ_SeqBAIJ() by adding an output
2529  spidx[], index of a->a, to be used in MatTransposeColoringCreate() and MatFDColoringCreate()
2530  */
2531 PetscErrorCode MatGetColumnIJ_SeqBAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
2532 {
2533   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2534   PetscErrorCode ierr;
2535   PetscInt       i,*collengths,*cia,*cja,n=a->nbs,m=a->mbs;
2536   PetscInt       nz = a->i[m],row,*jj,mr,col;
2537   PetscInt       *cspidx;
2538 
2539   PetscFunctionBegin;
2540   *nn = n;
2541   if (!ia) PetscFunctionReturn(0);
2542 
2543   ierr = PetscCalloc1(n,&collengths);CHKERRQ(ierr);
2544   ierr = PetscMalloc1(n+1,&cia);CHKERRQ(ierr);
2545   ierr = PetscMalloc1(nz,&cja);CHKERRQ(ierr);
2546   ierr = PetscMalloc1(nz,&cspidx);CHKERRQ(ierr);
2547   jj   = a->j;
2548   for (i=0; i<nz; i++) {
2549     collengths[jj[i]]++;
2550   }
2551   cia[0] = oshift;
2552   for (i=0; i<n; i++) {
2553     cia[i+1] = cia[i] + collengths[i];
2554   }
2555   ierr = PetscArrayzero(collengths,n);CHKERRQ(ierr);
2556   jj   = a->j;
2557   for (row=0; row<m; row++) {
2558     mr = a->i[row+1] - a->i[row];
2559     for (i=0; i<mr; i++) {
2560       col = *jj++;
2561       cspidx[cia[col] + collengths[col] - oshift] = a->i[row] + i; /* index of a->j */
2562       cja[cia[col] + collengths[col]++ - oshift]  = row + oshift;
2563     }
2564   }
2565   ierr   = PetscFree(collengths);CHKERRQ(ierr);
2566   *ia    = cia;
2567   *ja    = cja;
2568   *spidx = cspidx;
2569   PetscFunctionReturn(0);
2570 }
2571 
2572 PetscErrorCode MatRestoreColumnIJ_SeqBAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
2573 {
2574   PetscErrorCode ierr;
2575 
2576   PetscFunctionBegin;
2577   ierr = MatRestoreColumnIJ_SeqBAIJ(A,oshift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
2578   ierr = PetscFree(*spidx);CHKERRQ(ierr);
2579   PetscFunctionReturn(0);
2580 }
2581 
2582 PetscErrorCode MatShift_SeqBAIJ(Mat Y,PetscScalar a)
2583 {
2584   PetscErrorCode ierr;
2585   Mat_SeqBAIJ     *aij = (Mat_SeqBAIJ*)Y->data;
2586 
2587   PetscFunctionBegin;
2588   if (!Y->preallocated || !aij->nz) {
2589     ierr = MatSeqBAIJSetPreallocation(Y,Y->rmap->bs,1,NULL);CHKERRQ(ierr);
2590   }
2591   ierr = MatShift_Basic(Y,a);CHKERRQ(ierr);
2592   PetscFunctionReturn(0);
2593 }
2594 
2595 /* -------------------------------------------------------------------*/
2596 static struct _MatOps MatOps_Values = {MatSetValues_SeqBAIJ,
2597                                        MatGetRow_SeqBAIJ,
2598                                        MatRestoreRow_SeqBAIJ,
2599                                        MatMult_SeqBAIJ_N,
2600                                /* 4*/  MatMultAdd_SeqBAIJ_N,
2601                                        MatMultTranspose_SeqBAIJ,
2602                                        MatMultTransposeAdd_SeqBAIJ,
2603                                        NULL,
2604                                        NULL,
2605                                        NULL,
2606                                /* 10*/ NULL,
2607                                        MatLUFactor_SeqBAIJ,
2608                                        NULL,
2609                                        NULL,
2610                                        MatTranspose_SeqBAIJ,
2611                                /* 15*/ MatGetInfo_SeqBAIJ,
2612                                        MatEqual_SeqBAIJ,
2613                                        MatGetDiagonal_SeqBAIJ,
2614                                        MatDiagonalScale_SeqBAIJ,
2615                                        MatNorm_SeqBAIJ,
2616                                /* 20*/ NULL,
2617                                        MatAssemblyEnd_SeqBAIJ,
2618                                        MatSetOption_SeqBAIJ,
2619                                        MatZeroEntries_SeqBAIJ,
2620                                /* 24*/ MatZeroRows_SeqBAIJ,
2621                                        NULL,
2622                                        NULL,
2623                                        NULL,
2624                                        NULL,
2625                                /* 29*/ MatSetUp_SeqBAIJ,
2626                                        NULL,
2627                                        NULL,
2628                                        NULL,
2629                                        NULL,
2630                                /* 34*/ MatDuplicate_SeqBAIJ,
2631                                        NULL,
2632                                        NULL,
2633                                        MatILUFactor_SeqBAIJ,
2634                                        NULL,
2635                                /* 39*/ MatAXPY_SeqBAIJ,
2636                                        MatCreateSubMatrices_SeqBAIJ,
2637                                        MatIncreaseOverlap_SeqBAIJ,
2638                                        MatGetValues_SeqBAIJ,
2639                                        MatCopy_SeqBAIJ,
2640                                /* 44*/ NULL,
2641                                        MatScale_SeqBAIJ,
2642                                        MatShift_SeqBAIJ,
2643                                        NULL,
2644                                        MatZeroRowsColumns_SeqBAIJ,
2645                                /* 49*/ NULL,
2646                                        MatGetRowIJ_SeqBAIJ,
2647                                        MatRestoreRowIJ_SeqBAIJ,
2648                                        MatGetColumnIJ_SeqBAIJ,
2649                                        MatRestoreColumnIJ_SeqBAIJ,
2650                                /* 54*/ MatFDColoringCreate_SeqXAIJ,
2651                                        NULL,
2652                                        NULL,
2653                                        MatPermute_SeqBAIJ,
2654                                        MatSetValuesBlocked_SeqBAIJ,
2655                                /* 59*/ MatCreateSubMatrix_SeqBAIJ,
2656                                        MatDestroy_SeqBAIJ,
2657                                        MatView_SeqBAIJ,
2658                                        NULL,
2659                                        NULL,
2660                                /* 64*/ NULL,
2661                                        NULL,
2662                                        NULL,
2663                                        NULL,
2664                                        NULL,
2665                                /* 69*/ MatGetRowMaxAbs_SeqBAIJ,
2666                                        NULL,
2667                                        MatConvert_Basic,
2668                                        NULL,
2669                                        NULL,
2670                                /* 74*/ NULL,
2671                                        MatFDColoringApply_BAIJ,
2672                                        NULL,
2673                                        NULL,
2674                                        NULL,
2675                                /* 79*/ NULL,
2676                                        NULL,
2677                                        NULL,
2678                                        NULL,
2679                                        MatLoad_SeqBAIJ,
2680                                /* 84*/ NULL,
2681                                        NULL,
2682                                        NULL,
2683                                        NULL,
2684                                        NULL,
2685                                /* 89*/ NULL,
2686                                        NULL,
2687                                        NULL,
2688                                        NULL,
2689                                        NULL,
2690                                /* 94*/ NULL,
2691                                        NULL,
2692                                        NULL,
2693                                        NULL,
2694                                        NULL,
2695                                /* 99*/ NULL,
2696                                        NULL,
2697                                        NULL,
2698                                        NULL,
2699                                        NULL,
2700                                /*104*/ NULL,
2701                                        MatRealPart_SeqBAIJ,
2702                                        MatImaginaryPart_SeqBAIJ,
2703                                        NULL,
2704                                        NULL,
2705                                /*109*/ NULL,
2706                                        NULL,
2707                                        NULL,
2708                                        NULL,
2709                                        MatMissingDiagonal_SeqBAIJ,
2710                                /*114*/ NULL,
2711                                        NULL,
2712                                        NULL,
2713                                        NULL,
2714                                        NULL,
2715                                /*119*/ NULL,
2716                                        NULL,
2717                                        MatMultHermitianTranspose_SeqBAIJ,
2718                                        MatMultHermitianTransposeAdd_SeqBAIJ,
2719                                        NULL,
2720                                /*124*/ NULL,
2721                                        NULL,
2722                                        MatInvertBlockDiagonal_SeqBAIJ,
2723                                        NULL,
2724                                        NULL,
2725                                /*129*/ NULL,
2726                                        NULL,
2727                                        NULL,
2728                                        NULL,
2729                                        NULL,
2730                                /*134*/ NULL,
2731                                        NULL,
2732                                        NULL,
2733                                        NULL,
2734                                        NULL,
2735                                /*139*/ MatSetBlockSizes_Default,
2736                                        NULL,
2737                                        NULL,
2738                                        MatFDColoringSetUp_SeqXAIJ,
2739                                        NULL,
2740                                 /*144*/MatCreateMPIMatConcatenateSeqMat_SeqBAIJ,
2741                                        MatDestroySubMatrices_SeqBAIJ
2742 };
2743 
2744 PetscErrorCode  MatStoreValues_SeqBAIJ(Mat mat)
2745 {
2746   Mat_SeqBAIJ    *aij = (Mat_SeqBAIJ*)mat->data;
2747   PetscInt       nz   = aij->i[aij->mbs]*aij->bs2;
2748   PetscErrorCode ierr;
2749 
2750   PetscFunctionBegin;
2751   if (aij->nonew != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
2752 
2753   /* allocate space for values if not already there */
2754   if (!aij->saved_values) {
2755     ierr = PetscMalloc1(nz+1,&aij->saved_values);CHKERRQ(ierr);
2756     ierr = PetscLogObjectMemory((PetscObject)mat,(nz+1)*sizeof(PetscScalar));CHKERRQ(ierr);
2757   }
2758 
2759   /* copy values over */
2760   ierr = PetscArraycpy(aij->saved_values,aij->a,nz);CHKERRQ(ierr);
2761   PetscFunctionReturn(0);
2762 }
2763 
2764 PetscErrorCode  MatRetrieveValues_SeqBAIJ(Mat mat)
2765 {
2766   Mat_SeqBAIJ    *aij = (Mat_SeqBAIJ*)mat->data;
2767   PetscErrorCode ierr;
2768   PetscInt       nz = aij->i[aij->mbs]*aij->bs2;
2769 
2770   PetscFunctionBegin;
2771   if (aij->nonew != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
2772   if (!aij->saved_values) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
2773 
2774   /* copy values over */
2775   ierr = PetscArraycpy(aij->a,aij->saved_values,nz);CHKERRQ(ierr);
2776   PetscFunctionReturn(0);
2777 }
2778 
2779 PETSC_INTERN PetscErrorCode MatConvert_SeqBAIJ_SeqAIJ(Mat, MatType,MatReuse,Mat*);
2780 PETSC_INTERN PetscErrorCode MatConvert_SeqBAIJ_SeqSBAIJ(Mat, MatType,MatReuse,Mat*);
2781 
2782 PetscErrorCode  MatSeqBAIJSetPreallocation_SeqBAIJ(Mat B,PetscInt bs,PetscInt nz,PetscInt *nnz)
2783 {
2784   Mat_SeqBAIJ    *b;
2785   PetscErrorCode ierr;
2786   PetscInt       i,mbs,nbs,bs2;
2787   PetscBool      flg = PETSC_FALSE,skipallocation = PETSC_FALSE,realalloc = PETSC_FALSE;
2788 
2789   PetscFunctionBegin;
2790   if (nz >= 0 || nnz) realalloc = PETSC_TRUE;
2791   if (nz == MAT_SKIP_ALLOCATION) {
2792     skipallocation = PETSC_TRUE;
2793     nz             = 0;
2794   }
2795 
2796   ierr = MatSetBlockSize(B,PetscAbs(bs));CHKERRQ(ierr);
2797   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
2798   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
2799   ierr = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
2800 
2801   B->preallocated = PETSC_TRUE;
2802 
2803   mbs = B->rmap->n/bs;
2804   nbs = B->cmap->n/bs;
2805   bs2 = bs*bs;
2806 
2807   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);
2808 
2809   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
2810   if (nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %D",nz);
2811   if (nnz) {
2812     for (i=0; i<mbs; i++) {
2813       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]);
2814       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);
2815     }
2816   }
2817 
2818   b    = (Mat_SeqBAIJ*)B->data;
2819   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)B),NULL,"Optimize options for SEQBAIJ matrix 2 ","Mat");CHKERRQ(ierr);
2820   ierr = PetscOptionsBool("-mat_no_unroll","Do not optimize for block size (slow)",NULL,flg,&flg,NULL);CHKERRQ(ierr);
2821   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2822 
2823   if (!flg) {
2824     switch (bs) {
2825     case 1:
2826       B->ops->mult    = MatMult_SeqBAIJ_1;
2827       B->ops->multadd = MatMultAdd_SeqBAIJ_1;
2828       break;
2829     case 2:
2830       B->ops->mult    = MatMult_SeqBAIJ_2;
2831       B->ops->multadd = MatMultAdd_SeqBAIJ_2;
2832       break;
2833     case 3:
2834       B->ops->mult    = MatMult_SeqBAIJ_3;
2835       B->ops->multadd = MatMultAdd_SeqBAIJ_3;
2836       break;
2837     case 4:
2838       B->ops->mult    = MatMult_SeqBAIJ_4;
2839       B->ops->multadd = MatMultAdd_SeqBAIJ_4;
2840       break;
2841     case 5:
2842       B->ops->mult    = MatMult_SeqBAIJ_5;
2843       B->ops->multadd = MatMultAdd_SeqBAIJ_5;
2844       break;
2845     case 6:
2846       B->ops->mult    = MatMult_SeqBAIJ_6;
2847       B->ops->multadd = MatMultAdd_SeqBAIJ_6;
2848       break;
2849     case 7:
2850       B->ops->mult    = MatMult_SeqBAIJ_7;
2851       B->ops->multadd = MatMultAdd_SeqBAIJ_7;
2852       break;
2853     case 9:
2854 #if defined(PETSC_HAVE_IMMINTRIN_H) && defined(__AVX2__) && defined(__FMA__) && defined(PETSC_USE_REAL_DOUBLE) && !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_64BIT_INDICES)
2855       B->ops->mult    = MatMult_SeqBAIJ_9_AVX2;
2856       B->ops->multadd = MatMultAdd_SeqBAIJ_9_AVX2;
2857 #else
2858       B->ops->mult    = MatMult_SeqBAIJ_N;
2859       B->ops->multadd = MatMultAdd_SeqBAIJ_N;
2860 #endif
2861       break;
2862     case 11:
2863       B->ops->mult    = MatMult_SeqBAIJ_11;
2864       B->ops->multadd = MatMultAdd_SeqBAIJ_11;
2865       break;
2866     case 15:
2867       B->ops->mult    = MatMult_SeqBAIJ_15_ver1;
2868       B->ops->multadd = MatMultAdd_SeqBAIJ_N;
2869       break;
2870     default:
2871       B->ops->mult    = MatMult_SeqBAIJ_N;
2872       B->ops->multadd = MatMultAdd_SeqBAIJ_N;
2873       break;
2874     }
2875   }
2876   B->ops->sor = MatSOR_SeqBAIJ;
2877   b->mbs = mbs;
2878   b->nbs = nbs;
2879   if (!skipallocation) {
2880     if (!b->imax) {
2881       ierr = PetscMalloc2(mbs,&b->imax,mbs,&b->ilen);CHKERRQ(ierr);
2882       ierr = PetscLogObjectMemory((PetscObject)B,2*mbs*sizeof(PetscInt));CHKERRQ(ierr);
2883 
2884       b->free_imax_ilen = PETSC_TRUE;
2885     }
2886     /* b->ilen will count nonzeros in each block row so far. */
2887     for (i=0; i<mbs; i++) b->ilen[i] = 0;
2888     if (!nnz) {
2889       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
2890       else if (nz < 0) nz = 1;
2891       nz = PetscMin(nz,nbs);
2892       for (i=0; i<mbs; i++) b->imax[i] = nz;
2893       ierr = PetscIntMultError(nz,mbs,&nz);CHKERRQ(ierr);
2894     } else {
2895       PetscInt64 nz64 = 0;
2896       for (i=0; i<mbs; i++) {b->imax[i] = nnz[i]; nz64 += nnz[i];}
2897       ierr = PetscIntCast(nz64,&nz);CHKERRQ(ierr);
2898     }
2899 
2900     /* allocate the matrix space */
2901     ierr = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
2902     if (B->structure_only) {
2903       ierr = PetscMalloc1(nz,&b->j);CHKERRQ(ierr);
2904       ierr = PetscMalloc1(B->rmap->N+1,&b->i);CHKERRQ(ierr);
2905       ierr = PetscLogObjectMemory((PetscObject)B,(B->rmap->N+1)*sizeof(PetscInt)+nz*sizeof(PetscInt));CHKERRQ(ierr);
2906     } else {
2907       ierr = PetscMalloc3(bs2*nz,&b->a,nz,&b->j,B->rmap->N+1,&b->i);CHKERRQ(ierr);
2908       ierr = PetscLogObjectMemory((PetscObject)B,(B->rmap->N+1)*sizeof(PetscInt)+nz*(bs2*sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
2909       ierr = PetscArrayzero(b->a,nz*bs2);CHKERRQ(ierr);
2910     }
2911     ierr = PetscArrayzero(b->j,nz);CHKERRQ(ierr);
2912 
2913     if (B->structure_only) {
2914       b->singlemalloc = PETSC_FALSE;
2915       b->free_a       = PETSC_FALSE;
2916     } else {
2917       b->singlemalloc = PETSC_TRUE;
2918       b->free_a       = PETSC_TRUE;
2919     }
2920     b->free_ij = PETSC_TRUE;
2921 
2922     b->i[0] = 0;
2923     for (i=1; i<mbs+1; i++) {
2924       b->i[i] = b->i[i-1] + b->imax[i-1];
2925     }
2926 
2927   } else {
2928     b->free_a  = PETSC_FALSE;
2929     b->free_ij = PETSC_FALSE;
2930   }
2931 
2932   b->bs2              = bs2;
2933   b->mbs              = mbs;
2934   b->nz               = 0;
2935   b->maxnz            = nz;
2936   B->info.nz_unneeded = (PetscReal)b->maxnz*bs2;
2937   B->was_assembled    = PETSC_FALSE;
2938   B->assembled        = PETSC_FALSE;
2939   if (realalloc) {ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);}
2940   PetscFunctionReturn(0);
2941 }
2942 
2943 PetscErrorCode MatSeqBAIJSetPreallocationCSR_SeqBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
2944 {
2945   PetscInt       i,m,nz,nz_max=0,*nnz;
2946   PetscScalar    *values=NULL;
2947   PetscBool      roworiented = ((Mat_SeqBAIJ*)B->data)->roworiented;
2948   PetscErrorCode ierr;
2949 
2950   PetscFunctionBegin;
2951   if (bs < 1) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Invalid block size specified, must be positive but it is %D",bs);
2952   ierr = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
2953   ierr = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
2954   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
2955   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
2956   ierr = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
2957   m    = B->rmap->n/bs;
2958 
2959   if (ii[0] != 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "ii[0] must be 0 but it is %D",ii[0]);
2960   ierr = PetscMalloc1(m+1, &nnz);CHKERRQ(ierr);
2961   for (i=0; i<m; i++) {
2962     nz = ii[i+1]- ii[i];
2963     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Local row %D has a negative number of columns %D",i,nz);
2964     nz_max = PetscMax(nz_max, nz);
2965     nnz[i] = nz;
2966   }
2967   ierr = MatSeqBAIJSetPreallocation(B,bs,0,nnz);CHKERRQ(ierr);
2968   ierr = PetscFree(nnz);CHKERRQ(ierr);
2969 
2970   values = (PetscScalar*)V;
2971   if (!values) {
2972     ierr = PetscCalloc1(bs*bs*(nz_max+1),&values);CHKERRQ(ierr);
2973   }
2974   for (i=0; i<m; i++) {
2975     PetscInt          ncols  = ii[i+1] - ii[i];
2976     const PetscInt    *icols = jj + ii[i];
2977     if (bs == 1 || !roworiented) {
2978       const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
2979       ierr = MatSetValuesBlocked_SeqBAIJ(B,1,&i,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
2980     } else {
2981       PetscInt j;
2982       for (j=0; j<ncols; j++) {
2983         const PetscScalar *svals = values + (V ? (bs*bs*(ii[i]+j)) : 0);
2984         ierr = MatSetValuesBlocked_SeqBAIJ(B,1,&i,1,&icols[j],svals,INSERT_VALUES);CHKERRQ(ierr);
2985       }
2986     }
2987   }
2988   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
2989   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2990   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2991   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
2992   PetscFunctionReturn(0);
2993 }
2994 
2995 /*@C
2996    MatSeqBAIJGetArray - gives access to the array where the data for a MATSEQBAIJ matrix is stored
2997 
2998    Not Collective
2999 
3000    Input Parameter:
3001 .  mat - a MATSEQBAIJ matrix
3002 
3003    Output Parameter:
3004 .   array - pointer to the data
3005 
3006    Level: intermediate
3007 
3008 .seealso: MatSeqBAIJRestoreArray(), MatSeqAIJGetArray(), MatSeqAIJRestoreArray()
3009 @*/
3010 PetscErrorCode MatSeqBAIJGetArray(Mat A,PetscScalar **array)
3011 {
3012   PetscErrorCode ierr;
3013 
3014   PetscFunctionBegin;
3015   ierr = PetscUseMethod(A,"MatSeqBAIJGetArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
3016   PetscFunctionReturn(0);
3017 }
3018 
3019 /*@C
3020    MatSeqBAIJRestoreArray - returns access to the array where the data for a MATSEQBAIJ matrix is stored obtained by MatSeqBAIJGetArray()
3021 
3022    Not Collective
3023 
3024    Input Parameters:
3025 +  mat - a MATSEQBAIJ matrix
3026 -  array - pointer to the data
3027 
3028    Level: intermediate
3029 
3030 .seealso: MatSeqBAIJGetArray(), MatSeqAIJGetArray(), MatSeqAIJRestoreArray()
3031 @*/
3032 PetscErrorCode MatSeqBAIJRestoreArray(Mat A,PetscScalar **array)
3033 {
3034   PetscErrorCode ierr;
3035 
3036   PetscFunctionBegin;
3037   ierr = PetscUseMethod(A,"MatSeqBAIJRestoreArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
3038   PetscFunctionReturn(0);
3039 }
3040 
3041 /*MC
3042    MATSEQBAIJ - MATSEQBAIJ = "seqbaij" - A matrix type to be used for sequential block sparse matrices, based on
3043    block sparse compressed row format.
3044 
3045    Options Database Keys:
3046 . -mat_type seqbaij - sets the matrix type to "seqbaij" during a call to MatSetFromOptions()
3047 
3048    Level: beginner
3049 
3050    Notes:
3051     MatSetOptions(,MAT_STRUCTURE_ONLY,PETSC_TRUE) may be called for this matrix type. In this no
3052     space is allocated for the nonzero entries and any entries passed with MatSetValues() are ignored
3053 
3054 .seealso: MatCreateSeqBAIJ()
3055 M*/
3056 
3057 PETSC_INTERN PetscErrorCode MatConvert_SeqBAIJ_SeqBSTRM(Mat, MatType,MatReuse,Mat*);
3058 
3059 PETSC_EXTERN PetscErrorCode MatCreate_SeqBAIJ(Mat B)
3060 {
3061   PetscErrorCode ierr;
3062   PetscMPIInt    size;
3063   Mat_SeqBAIJ    *b;
3064 
3065   PetscFunctionBegin;
3066   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&size);CHKERRMPI(ierr);
3067   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Comm must be of size 1");
3068 
3069   ierr    = PetscNewLog(B,&b);CHKERRQ(ierr);
3070   B->data = (void*)b;
3071   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
3072 
3073   b->row          = NULL;
3074   b->col          = NULL;
3075   b->icol         = NULL;
3076   b->reallocs     = 0;
3077   b->saved_values = NULL;
3078 
3079   b->roworiented        = PETSC_TRUE;
3080   b->nonew              = 0;
3081   b->diag               = NULL;
3082   B->spptr              = NULL;
3083   B->info.nz_unneeded   = (PetscReal)b->maxnz*b->bs2;
3084   b->keepnonzeropattern = PETSC_FALSE;
3085 
3086   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqBAIJGetArray_C",MatSeqBAIJGetArray_SeqBAIJ);CHKERRQ(ierr);
3087   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqBAIJRestoreArray_C",MatSeqBAIJRestoreArray_SeqBAIJ);CHKERRQ(ierr);
3088   ierr = PetscObjectComposeFunction((PetscObject)B,"MatInvertBlockDiagonal_C",MatInvertBlockDiagonal_SeqBAIJ);CHKERRQ(ierr);
3089   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_SeqBAIJ);CHKERRQ(ierr);
3090   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_SeqBAIJ);CHKERRQ(ierr);
3091   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqBAIJSetColumnIndices_C",MatSeqBAIJSetColumnIndices_SeqBAIJ);CHKERRQ(ierr);
3092   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqbaij_seqaij_C",MatConvert_SeqBAIJ_SeqAIJ);CHKERRQ(ierr);
3093   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqbaij_seqsbaij_C",MatConvert_SeqBAIJ_SeqSBAIJ);CHKERRQ(ierr);
3094   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqBAIJSetPreallocation_C",MatSeqBAIJSetPreallocation_SeqBAIJ);CHKERRQ(ierr);
3095   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqBAIJSetPreallocationCSR_C",MatSeqBAIJSetPreallocationCSR_SeqBAIJ);CHKERRQ(ierr);
3096   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsTranspose_C",MatIsTranspose_SeqBAIJ);CHKERRQ(ierr);
3097 #if defined(PETSC_HAVE_HYPRE)
3098   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqbaij_hypre_C",MatConvert_AIJ_HYPRE);CHKERRQ(ierr);
3099 #endif
3100   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqbaij_is_C",MatConvert_XAIJ_IS);CHKERRQ(ierr);
3101   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQBAIJ);CHKERRQ(ierr);
3102   PetscFunctionReturn(0);
3103 }
3104 
3105 PetscErrorCode MatDuplicateNoCreate_SeqBAIJ(Mat C,Mat A,MatDuplicateOption cpvalues,PetscBool mallocmatspace)
3106 {
3107   Mat_SeqBAIJ    *c = (Mat_SeqBAIJ*)C->data,*a = (Mat_SeqBAIJ*)A->data;
3108   PetscErrorCode ierr;
3109   PetscInt       i,mbs = a->mbs,nz = a->nz,bs2 = a->bs2;
3110 
3111   PetscFunctionBegin;
3112   if (a->i[mbs] != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Corrupt matrix");
3113 
3114   if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
3115     c->imax           = a->imax;
3116     c->ilen           = a->ilen;
3117     c->free_imax_ilen = PETSC_FALSE;
3118   } else {
3119     ierr = PetscMalloc2(mbs,&c->imax,mbs,&c->ilen);CHKERRQ(ierr);
3120     ierr = PetscLogObjectMemory((PetscObject)C,2*mbs*sizeof(PetscInt));CHKERRQ(ierr);
3121     for (i=0; i<mbs; i++) {
3122       c->imax[i] = a->imax[i];
3123       c->ilen[i] = a->ilen[i];
3124     }
3125     c->free_imax_ilen = PETSC_TRUE;
3126   }
3127 
3128   /* allocate the matrix space */
3129   if (mallocmatspace) {
3130     if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
3131       ierr = PetscCalloc1(bs2*nz,&c->a);CHKERRQ(ierr);
3132       ierr = PetscLogObjectMemory((PetscObject)C,a->i[mbs]*bs2*sizeof(PetscScalar));CHKERRQ(ierr);
3133 
3134       c->i            = a->i;
3135       c->j            = a->j;
3136       c->singlemalloc = PETSC_FALSE;
3137       c->free_a       = PETSC_TRUE;
3138       c->free_ij      = PETSC_FALSE;
3139       c->parent       = A;
3140       C->preallocated = PETSC_TRUE;
3141       C->assembled    = PETSC_TRUE;
3142 
3143       ierr = PetscObjectReference((PetscObject)A);CHKERRQ(ierr);
3144       ierr = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3145       ierr = MatSetOption(C,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3146     } else {
3147       ierr = PetscMalloc3(bs2*nz,&c->a,nz,&c->j,mbs+1,&c->i);CHKERRQ(ierr);
3148       ierr = PetscLogObjectMemory((PetscObject)C,a->i[mbs]*(bs2*sizeof(PetscScalar)+sizeof(PetscInt))+(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
3149 
3150       c->singlemalloc = PETSC_TRUE;
3151       c->free_a       = PETSC_TRUE;
3152       c->free_ij      = PETSC_TRUE;
3153 
3154       ierr = PetscArraycpy(c->i,a->i,mbs+1);CHKERRQ(ierr);
3155       if (mbs > 0) {
3156         ierr = PetscArraycpy(c->j,a->j,nz);CHKERRQ(ierr);
3157         if (cpvalues == MAT_COPY_VALUES) {
3158           ierr = PetscArraycpy(c->a,a->a,bs2*nz);CHKERRQ(ierr);
3159         } else {
3160           ierr = PetscArrayzero(c->a,bs2*nz);CHKERRQ(ierr);
3161         }
3162       }
3163       C->preallocated = PETSC_TRUE;
3164       C->assembled    = PETSC_TRUE;
3165     }
3166   }
3167 
3168   c->roworiented = a->roworiented;
3169   c->nonew       = a->nonew;
3170 
3171   ierr = PetscLayoutReference(A->rmap,&C->rmap);CHKERRQ(ierr);
3172   ierr = PetscLayoutReference(A->cmap,&C->cmap);CHKERRQ(ierr);
3173 
3174   c->bs2         = a->bs2;
3175   c->mbs         = a->mbs;
3176   c->nbs         = a->nbs;
3177 
3178   if (a->diag) {
3179     if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
3180       c->diag      = a->diag;
3181       c->free_diag = PETSC_FALSE;
3182     } else {
3183       ierr = PetscMalloc1(mbs+1,&c->diag);CHKERRQ(ierr);
3184       ierr = PetscLogObjectMemory((PetscObject)C,(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
3185       for (i=0; i<mbs; i++) c->diag[i] = a->diag[i];
3186       c->free_diag = PETSC_TRUE;
3187     }
3188   } else c->diag = NULL;
3189 
3190   c->nz         = a->nz;
3191   c->maxnz      = a->nz;         /* Since we allocate exactly the right amount */
3192   c->solve_work = NULL;
3193   c->mult_work  = NULL;
3194   c->sor_workt  = NULL;
3195   c->sor_work   = NULL;
3196 
3197   c->compressedrow.use   = a->compressedrow.use;
3198   c->compressedrow.nrows = a->compressedrow.nrows;
3199   if (a->compressedrow.use) {
3200     i    = a->compressedrow.nrows;
3201     ierr = PetscMalloc2(i+1,&c->compressedrow.i,i+1,&c->compressedrow.rindex);CHKERRQ(ierr);
3202     ierr = PetscLogObjectMemory((PetscObject)C,(2*i+1)*sizeof(PetscInt));CHKERRQ(ierr);
3203     ierr = PetscArraycpy(c->compressedrow.i,a->compressedrow.i,i+1);CHKERRQ(ierr);
3204     ierr = PetscArraycpy(c->compressedrow.rindex,a->compressedrow.rindex,i);CHKERRQ(ierr);
3205   } else {
3206     c->compressedrow.use    = PETSC_FALSE;
3207     c->compressedrow.i      = NULL;
3208     c->compressedrow.rindex = NULL;
3209   }
3210   C->nonzerostate = A->nonzerostate;
3211 
3212   ierr = PetscFunctionListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
3213   PetscFunctionReturn(0);
3214 }
3215 
3216 PetscErrorCode MatDuplicate_SeqBAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
3217 {
3218   PetscErrorCode ierr;
3219 
3220   PetscFunctionBegin;
3221   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
3222   ierr = MatSetSizes(*B,A->rmap->N,A->cmap->n,A->rmap->N,A->cmap->n);CHKERRQ(ierr);
3223   ierr = MatSetType(*B,MATSEQBAIJ);CHKERRQ(ierr);
3224   ierr = MatDuplicateNoCreate_SeqBAIJ(*B,A,cpvalues,PETSC_TRUE);CHKERRQ(ierr);
3225   PetscFunctionReturn(0);
3226 }
3227 
3228 /* Used for both SeqBAIJ and SeqSBAIJ matrices */
3229 PetscErrorCode MatLoad_SeqBAIJ_Binary(Mat mat,PetscViewer viewer)
3230 {
3231   PetscInt       header[4],M,N,nz,bs,m,n,mbs,nbs,rows,cols,sum,i,j,k;
3232   PetscInt       *rowidxs,*colidxs;
3233   PetscScalar    *matvals;
3234   PetscErrorCode ierr;
3235 
3236   PetscFunctionBegin;
3237   ierr = PetscViewerSetUp(viewer);CHKERRQ(ierr);
3238 
3239   /* read matrix header */
3240   ierr = PetscViewerBinaryRead(viewer,header,4,NULL,PETSC_INT);CHKERRQ(ierr);
3241   if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Not a matrix object in file");
3242   M = header[1]; N = header[2]; nz = header[3];
3243   if (M < 0) SETERRQ1(PetscObjectComm((PetscObject)viewer),PETSC_ERR_FILE_UNEXPECTED,"Matrix row size (%D) in file is negative",M);
3244   if (N < 0) SETERRQ1(PetscObjectComm((PetscObject)viewer),PETSC_ERR_FILE_UNEXPECTED,"Matrix column size (%D) in file is negative",N);
3245   if (nz < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk, cannot load as SeqBAIJ");
3246 
3247   /* set block sizes from the viewer's .info file */
3248   ierr = MatLoad_Binary_BlockSizes(mat,viewer);CHKERRQ(ierr);
3249   /* set local and global sizes if not set already */
3250   if (mat->rmap->n < 0) mat->rmap->n = M;
3251   if (mat->cmap->n < 0) mat->cmap->n = N;
3252   if (mat->rmap->N < 0) mat->rmap->N = M;
3253   if (mat->cmap->N < 0) mat->cmap->N = N;
3254   ierr = PetscLayoutSetUp(mat->rmap);CHKERRQ(ierr);
3255   ierr = PetscLayoutSetUp(mat->cmap);CHKERRQ(ierr);
3256 
3257   /* check if the matrix sizes are correct */
3258   ierr = MatGetSize(mat,&rows,&cols);CHKERRQ(ierr);
3259   if (M != rows || N != cols) SETERRQ4(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED, "Matrix in file of different sizes (%D, %D) than the input matrix (%D, %D)",M,N,rows,cols);
3260   ierr = MatGetBlockSize(mat,&bs);CHKERRQ(ierr);
3261   ierr = MatGetLocalSize(mat,&m,&n);CHKERRQ(ierr);
3262   mbs = m/bs; nbs = n/bs;
3263 
3264   /* read in row lengths, column indices and nonzero values */
3265   ierr = PetscMalloc1(m+1,&rowidxs);CHKERRQ(ierr);
3266   ierr = PetscViewerBinaryRead(viewer,rowidxs+1,m,NULL,PETSC_INT);CHKERRQ(ierr);
3267   rowidxs[0] = 0; for (i=0; i<m; i++) rowidxs[i+1] += rowidxs[i];
3268   sum = rowidxs[m];
3269   if (sum != nz) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Inconsistent matrix data in file: nonzeros = %D, sum-row-lengths = %D\n",nz,sum);
3270 
3271   /* read in column indices and nonzero values */
3272   ierr = PetscMalloc2(rowidxs[m],&colidxs,nz,&matvals);CHKERRQ(ierr);
3273   ierr = PetscViewerBinaryRead(viewer,colidxs,rowidxs[m],NULL,PETSC_INT);CHKERRQ(ierr);
3274   ierr = PetscViewerBinaryRead(viewer,matvals,rowidxs[m],NULL,PETSC_SCALAR);CHKERRQ(ierr);
3275 
3276   { /* preallocate matrix storage */
3277     PetscBT   bt; /* helper bit set to count nonzeros */
3278     PetscInt  *nnz;
3279     PetscBool sbaij;
3280 
3281     ierr = PetscBTCreate(nbs,&bt);CHKERRQ(ierr);
3282     ierr = PetscCalloc1(mbs,&nnz);CHKERRQ(ierr);
3283     ierr = PetscObjectTypeCompare((PetscObject)mat,MATSEQSBAIJ,&sbaij);CHKERRQ(ierr);
3284     for (i=0; i<mbs; i++) {
3285       ierr = PetscBTMemzero(nbs,bt);CHKERRQ(ierr);
3286       for (k=0; k<bs; k++) {
3287         PetscInt row = bs*i + k;
3288         for (j=rowidxs[row]; j<rowidxs[row+1]; j++) {
3289           PetscInt col = colidxs[j];
3290           if (!sbaij || col >= row)
3291             if (!PetscBTLookupSet(bt,col/bs)) nnz[i]++;
3292         }
3293       }
3294     }
3295     ierr = PetscBTDestroy(&bt);CHKERRQ(ierr);
3296     ierr = MatSeqBAIJSetPreallocation(mat,bs,0,nnz);CHKERRQ(ierr);
3297     ierr = MatSeqSBAIJSetPreallocation(mat,bs,0,nnz);CHKERRQ(ierr);
3298     ierr = PetscFree(nnz);CHKERRQ(ierr);
3299   }
3300 
3301   /* store matrix values */
3302   for (i=0; i<m; i++) {
3303     PetscInt row = i, s = rowidxs[i], e = rowidxs[i+1];
3304     ierr = (*mat->ops->setvalues)(mat,1,&row,e-s,colidxs+s,matvals+s,INSERT_VALUES);CHKERRQ(ierr);
3305   }
3306 
3307   ierr = PetscFree(rowidxs);CHKERRQ(ierr);
3308   ierr = PetscFree2(colidxs,matvals);CHKERRQ(ierr);
3309   ierr = MatAssemblyBegin(mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3310   ierr = MatAssemblyEnd(mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3311   PetscFunctionReturn(0);
3312 }
3313 
3314 PetscErrorCode MatLoad_SeqBAIJ(Mat mat,PetscViewer viewer)
3315 {
3316   PetscErrorCode ierr;
3317   PetscBool      isbinary;
3318 
3319   PetscFunctionBegin;
3320   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
3321   if (!isbinary) SETERRQ2(PetscObjectComm((PetscObject)viewer),PETSC_ERR_SUP,"Viewer type %s not yet supported for reading %s matrices",((PetscObject)viewer)->type_name,((PetscObject)mat)->type_name);
3322   ierr = MatLoad_SeqBAIJ_Binary(mat,viewer);CHKERRQ(ierr);
3323   PetscFunctionReturn(0);
3324 }
3325 
3326 /*@C
3327    MatCreateSeqBAIJ - Creates a sparse matrix in block AIJ (block
3328    compressed row) format.  For good matrix assembly performance the
3329    user should preallocate the matrix storage by setting the parameter nz
3330    (or the array nnz).  By setting these parameters accurately, performance
3331    during matrix assembly can be increased by more than a factor of 50.
3332 
3333    Collective
3334 
3335    Input Parameters:
3336 +  comm - MPI communicator, set to PETSC_COMM_SELF
3337 .  bs - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
3338           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
3339 .  m - number of rows
3340 .  n - number of columns
3341 .  nz - number of nonzero blocks  per block row (same for all rows)
3342 -  nnz - array containing the number of nonzero blocks in the various block rows
3343          (possibly different for each block row) or NULL
3344 
3345    Output Parameter:
3346 .  A - the matrix
3347 
3348    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3349    MatXXXXSetPreallocation() paradigm instead of this routine directly.
3350    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3351 
3352    Options Database Keys:
3353 +   -mat_no_unroll - uses code that does not unroll the loops in the
3354                      block calculations (much slower)
3355 -    -mat_block_size - size of the blocks to use
3356 
3357    Level: intermediate
3358 
3359    Notes:
3360    The number of rows and columns must be divisible by blocksize.
3361 
3362    If the nnz parameter is given then the nz parameter is ignored
3363 
3364    A nonzero block is any block that as 1 or more nonzeros in it
3365 
3366    The block AIJ format is fully compatible with standard Fortran 77
3367    storage.  That is, the stored row and column indices can begin at
3368    either one (as in Fortran) or zero.  See the users' manual for details.
3369 
3370    Specify the preallocated storage with either nz or nnz (not both).
3371    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3372    allocation.  See Users-Manual: ch_mat for details.
3373    matrices.
3374 
3375 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateBAIJ()
3376 @*/
3377 PetscErrorCode  MatCreateSeqBAIJ(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
3378 {
3379   PetscErrorCode ierr;
3380 
3381   PetscFunctionBegin;
3382   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3383   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
3384   ierr = MatSetType(*A,MATSEQBAIJ);CHKERRQ(ierr);
3385   ierr = MatSeqBAIJSetPreallocation(*A,bs,nz,(PetscInt*)nnz);CHKERRQ(ierr);
3386   PetscFunctionReturn(0);
3387 }
3388 
3389 /*@C
3390    MatSeqBAIJSetPreallocation - Sets the block size and expected nonzeros
3391    per row in the matrix. For good matrix assembly performance the
3392    user should preallocate the matrix storage by setting the parameter nz
3393    (or the array nnz).  By setting these parameters accurately, performance
3394    during matrix assembly can be increased by more than a factor of 50.
3395 
3396    Collective
3397 
3398    Input Parameters:
3399 +  B - the matrix
3400 .  bs - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
3401           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
3402 .  nz - number of block nonzeros per block row (same for all rows)
3403 -  nnz - array containing the number of block nonzeros in the various block rows
3404          (possibly different for each block row) or NULL
3405 
3406    Options Database Keys:
3407 +   -mat_no_unroll - uses code that does not unroll the loops in the
3408                      block calculations (much slower)
3409 -   -mat_block_size - size of the blocks to use
3410 
3411    Level: intermediate
3412 
3413    Notes:
3414    If the nnz parameter is given then the nz parameter is ignored
3415 
3416    You can call MatGetInfo() to get information on how effective the preallocation was;
3417    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3418    You can also run with the option -info and look for messages with the string
3419    malloc in them to see if additional memory allocation was needed.
3420 
3421    The block AIJ format is fully compatible with standard Fortran 77
3422    storage.  That is, the stored row and column indices can begin at
3423    either one (as in Fortran) or zero.  See the users' manual for details.
3424 
3425    Specify the preallocated storage with either nz or nnz (not both).
3426    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3427    allocation.  See Users-Manual: ch_mat for details.
3428 
3429 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateBAIJ(), MatGetInfo()
3430 @*/
3431 PetscErrorCode  MatSeqBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt nz,const PetscInt nnz[])
3432 {
3433   PetscErrorCode ierr;
3434 
3435   PetscFunctionBegin;
3436   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3437   PetscValidType(B,1);
3438   PetscValidLogicalCollectiveInt(B,bs,2);
3439   ierr = PetscTryMethod(B,"MatSeqBAIJSetPreallocation_C",(Mat,PetscInt,PetscInt,const PetscInt[]),(B,bs,nz,nnz));CHKERRQ(ierr);
3440   PetscFunctionReturn(0);
3441 }
3442 
3443 /*@C
3444    MatSeqBAIJSetPreallocationCSR - Creates a sparse parallel matrix in BAIJ format using the given nonzero structure and (optional) numerical values
3445 
3446    Collective
3447 
3448    Input Parameters:
3449 +  B - the matrix
3450 .  i - the indices into j for the start of each local row (starts with zero)
3451 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
3452 -  v - optional values in the matrix
3453 
3454    Level: advanced
3455 
3456    Notes:
3457    The order of the entries in values is specified by the MatOption MAT_ROW_ORIENTED.  For example, C programs
3458    may want to use the default MAT_ROW_ORIENTED=PETSC_TRUE and use an array v[nnz][bs][bs] where the second index is
3459    over rows within a block and the last index is over columns within a block row.  Fortran programs will likely set
3460    MAT_ROW_ORIENTED=PETSC_FALSE and use a Fortran array v(bs,bs,nnz) in which the first index is over rows within a
3461    block column and the second index is over columns within a block.
3462 
3463    Though this routine has Preallocation() in the name it also sets the exact nonzero locations of the matrix entries and usually the numerical values as well
3464 
3465 .seealso: MatCreate(), MatCreateSeqBAIJ(), MatSetValues(), MatSeqBAIJSetPreallocation(), MATSEQBAIJ
3466 @*/
3467 PetscErrorCode  MatSeqBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
3468 {
3469   PetscErrorCode ierr;
3470 
3471   PetscFunctionBegin;
3472   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3473   PetscValidType(B,1);
3474   PetscValidLogicalCollectiveInt(B,bs,2);
3475   ierr = PetscTryMethod(B,"MatSeqBAIJSetPreallocationCSR_C",(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,bs,i,j,v));CHKERRQ(ierr);
3476   PetscFunctionReturn(0);
3477 }
3478 
3479 
3480 /*@
3481      MatCreateSeqBAIJWithArrays - Creates an sequential BAIJ matrix using matrix elements provided by the user.
3482 
3483      Collective
3484 
3485    Input Parameters:
3486 +  comm - must be an MPI communicator of size 1
3487 .  bs - size of block
3488 .  m - number of rows
3489 .  n - number of columns
3490 .  i - row indices; that is i[0] = 0, i[row] = i[row-1] + number of elements in that row block row of the matrix
3491 .  j - column indices
3492 -  a - matrix values
3493 
3494    Output Parameter:
3495 .  mat - the matrix
3496 
3497    Level: advanced
3498 
3499    Notes:
3500        The i, j, and a arrays are not copied by this routine, the user must free these arrays
3501     once the matrix is destroyed
3502 
3503        You cannot set new nonzero locations into this matrix, that will generate an error.
3504 
3505        The i and j indices are 0 based
3506 
3507        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).
3508 
3509       The order of the entries in values is the same as the block compressed sparse row storage format; that is, it is
3510       the same as a three dimensional array in Fortran values(bs,bs,nnz) that contains the first column of the first
3511       block, followed by the second column of the first block etc etc.  That is, the blocks are contiguous in memory
3512       with column-major ordering within blocks.
3513 
3514 .seealso: MatCreate(), MatCreateBAIJ(), MatCreateSeqBAIJ()
3515 
3516 @*/
3517 PetscErrorCode  MatCreateSeqBAIJWithArrays(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt i[],PetscInt j[],PetscScalar a[],Mat *mat)
3518 {
3519   PetscErrorCode ierr;
3520   PetscInt       ii;
3521   Mat_SeqBAIJ    *baij;
3522 
3523   PetscFunctionBegin;
3524   if (bs != 1) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"block size %D > 1 is not supported yet",bs);
3525   if (m > 0 && i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
3526 
3527   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
3528   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
3529   ierr = MatSetType(*mat,MATSEQBAIJ);CHKERRQ(ierr);
3530   ierr = MatSeqBAIJSetPreallocation(*mat,bs,MAT_SKIP_ALLOCATION,NULL);CHKERRQ(ierr);
3531   baij = (Mat_SeqBAIJ*)(*mat)->data;
3532   ierr = PetscMalloc2(m,&baij->imax,m,&baij->ilen);CHKERRQ(ierr);
3533   ierr = PetscLogObjectMemory((PetscObject)*mat,2*m*sizeof(PetscInt));CHKERRQ(ierr);
3534 
3535   baij->i = i;
3536   baij->j = j;
3537   baij->a = a;
3538 
3539   baij->singlemalloc = PETSC_FALSE;
3540   baij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
3541   baij->free_a       = PETSC_FALSE;
3542   baij->free_ij      = PETSC_FALSE;
3543 
3544   for (ii=0; ii<m; ii++) {
3545     baij->ilen[ii] = baij->imax[ii] = i[ii+1] - i[ii];
3546     if (PetscUnlikelyDebug(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]);
3547   }
3548   if (PetscDefined(USE_DEBUG)) {
3549     for (ii=0; ii<baij->i[m]; ii++) {
3550       if (j[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %d index = %d",ii,j[ii]);
3551       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]);
3552     }
3553   }
3554 
3555   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3556   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3557   PetscFunctionReturn(0);
3558 }
3559 
3560 PetscErrorCode MatCreateMPIMatConcatenateSeqMat_SeqBAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
3561 {
3562   PetscErrorCode ierr;
3563   PetscMPIInt    size;
3564 
3565   PetscFunctionBegin;
3566   ierr = MPI_Comm_size(comm,&size);CHKERRMPI(ierr);
3567   if (size == 1 && scall == MAT_REUSE_MATRIX) {
3568     ierr = MatCopy(inmat,*outmat,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
3569   } else {
3570     ierr = MatCreateMPIMatConcatenateSeqMat_MPIBAIJ(comm,inmat,n,scall,outmat);CHKERRQ(ierr);
3571   }
3572   PetscFunctionReturn(0);
3573 }
3574