xref: /petsc/src/mat/impls/baij/seq/baij.c (revision 6a98f8dc3f2c9149905a87dc2e9d0fedaf64e09a)
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,0);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_NEW_DIAGONALS:
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 = 0;
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 = 0;
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 MatSetValuesBlocked_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
1768 {
1769   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
1770   PetscInt          *rp,k,low,high,t,ii,jj,row,nrow,i,col,l,rmax,N,lastcol = -1;
1771   PetscInt          *imax=a->imax,*ai=a->i,*ailen=a->ilen;
1772   PetscErrorCode    ierr;
1773   PetscInt          *aj        =a->j,nonew=a->nonew,bs2=a->bs2,bs=A->rmap->bs,stepval;
1774   PetscBool         roworiented=a->roworiented;
1775   const PetscScalar *value     = v;
1776   MatScalar         *ap=NULL,*aa = a->a,*bap;
1777 
1778   PetscFunctionBegin;
1779   if (roworiented) {
1780     stepval = (n-1)*bs;
1781   } else {
1782     stepval = (m-1)*bs;
1783   }
1784   for (k=0; k<m; k++) { /* loop over added rows */
1785     row = im[k];
1786     if (row < 0) continue;
1787 #if defined(PETSC_USE_DEBUG)
1788     if (row >= a->mbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Block row index too large %D max %D",row,a->mbs-1);
1789 #endif
1790     rp   = aj + ai[row];
1791     if (!A->structure_only) ap = aa + bs2*ai[row];
1792     rmax = imax[row];
1793     nrow = ailen[row];
1794     low  = 0;
1795     high = nrow;
1796     for (l=0; l<n; l++) { /* loop over added columns */
1797       if (in[l] < 0) continue;
1798 #if defined(PETSC_USE_DEBUG)
1799       if (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);
1800 #endif
1801       col = in[l];
1802       if (!A->structure_only) {
1803         if (roworiented) {
1804           value = v + (k*(stepval+bs) + l)*bs;
1805         } else {
1806           value = v + (l*(stepval+bs) + k)*bs;
1807         }
1808       }
1809       if (col <= lastcol) low = 0;
1810       else high = nrow;
1811       lastcol = col;
1812       while (high-low > 7) {
1813         t = (low+high)/2;
1814         if (rp[t] > col) high = t;
1815         else             low  = t;
1816       }
1817       for (i=low; i<high; i++) {
1818         if (rp[i] > col) break;
1819         if (rp[i] == col) {
1820           if (A->structure_only) goto noinsert2;
1821           bap = ap +  bs2*i;
1822           if (roworiented) {
1823             if (is == ADD_VALUES) {
1824               for (ii=0; ii<bs; ii++,value+=stepval) {
1825                 for (jj=ii; jj<bs2; jj+=bs) {
1826                   bap[jj] += *value++;
1827                 }
1828               }
1829             } else {
1830               for (ii=0; ii<bs; ii++,value+=stepval) {
1831                 for (jj=ii; jj<bs2; jj+=bs) {
1832                   bap[jj] = *value++;
1833                 }
1834               }
1835             }
1836           } else {
1837             if (is == ADD_VALUES) {
1838               for (ii=0; ii<bs; ii++,value+=bs+stepval) {
1839                 for (jj=0; jj<bs; jj++) {
1840                   bap[jj] += value[jj];
1841                 }
1842                 bap += bs;
1843               }
1844             } else {
1845               for (ii=0; ii<bs; ii++,value+=bs+stepval) {
1846                 for (jj=0; jj<bs; jj++) {
1847                   bap[jj]  = value[jj];
1848                 }
1849                 bap += bs;
1850               }
1851             }
1852           }
1853           goto noinsert2;
1854         }
1855       }
1856       if (nonew == 1) goto noinsert2;
1857       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);
1858       if (A->structure_only) {
1859         MatSeqXAIJReallocateAIJ_structure_only(A,a->mbs,bs2,nrow,row,col,rmax,ai,aj,rp,imax,nonew,MatScalar);
1860       } else {
1861         MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
1862       }
1863       N = nrow++ - 1; high++;
1864       /* shift up all the later entries in this row */
1865       ierr  = PetscArraymove(rp+i+1,rp+i,N-i+1);CHKERRQ(ierr);
1866       rp[i] = col;
1867       if (!A->structure_only) {
1868         ierr = PetscArraymove(ap+bs2*(i+1),ap+bs2*i,bs2*(N-i+1));CHKERRQ(ierr);
1869         bap   = ap +  bs2*i;
1870         if (roworiented) {
1871           for (ii=0; ii<bs; ii++,value+=stepval) {
1872             for (jj=ii; jj<bs2; jj+=bs) {
1873               bap[jj] = *value++;
1874             }
1875           }
1876         } else {
1877           for (ii=0; ii<bs; ii++,value+=stepval) {
1878             for (jj=0; jj<bs; jj++) {
1879               *bap++ = *value++;
1880             }
1881           }
1882         }
1883       }
1884 noinsert2:;
1885       low = i;
1886     }
1887     ailen[row] = nrow;
1888   }
1889   PetscFunctionReturn(0);
1890 }
1891 
1892 PetscErrorCode MatAssemblyEnd_SeqBAIJ(Mat A,MatAssemblyType mode)
1893 {
1894   Mat_SeqBAIJ    *a     = (Mat_SeqBAIJ*)A->data;
1895   PetscInt       fshift = 0,i,*ai = a->i,*aj = a->j,*imax = a->imax;
1896   PetscInt       m      = A->rmap->N,*ip,N,*ailen = a->ilen;
1897   PetscErrorCode ierr;
1898   PetscInt       mbs  = a->mbs,bs2 = a->bs2,rmax = 0;
1899   MatScalar      *aa  = a->a,*ap;
1900   PetscReal      ratio=0.6;
1901 
1902   PetscFunctionBegin;
1903   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
1904 
1905   if (m) rmax = ailen[0];
1906   for (i=1; i<mbs; i++) {
1907     /* move each row back by the amount of empty slots (fshift) before it*/
1908     fshift += imax[i-1] - ailen[i-1];
1909     rmax    = PetscMax(rmax,ailen[i]);
1910     if (fshift) {
1911       ip = aj + ai[i];
1912       ap = aa + bs2*ai[i];
1913       N  = ailen[i];
1914       ierr = PetscArraymove(ip-fshift,ip,N);CHKERRQ(ierr);
1915       if (!A->structure_only) {
1916         ierr = PetscArraymove(ap-bs2*fshift,ap,bs2*N);CHKERRQ(ierr);
1917       }
1918     }
1919     ai[i] = ai[i-1] + ailen[i-1];
1920   }
1921   if (mbs) {
1922     fshift += imax[mbs-1] - ailen[mbs-1];
1923     ai[mbs] = ai[mbs-1] + ailen[mbs-1];
1924   }
1925 
1926   /* reset ilen and imax for each row */
1927   a->nonzerorowcnt = 0;
1928   if (A->structure_only) {
1929     ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);
1930   } else { /* !A->structure_only */
1931     for (i=0; i<mbs; i++) {
1932       ailen[i] = imax[i] = ai[i+1] - ai[i];
1933       a->nonzerorowcnt += ((ai[i+1] - ai[i]) > 0);
1934     }
1935   }
1936   a->nz = ai[mbs];
1937 
1938   /* diagonals may have moved, so kill the diagonal pointers */
1939   a->idiagvalid = PETSC_FALSE;
1940   if (fshift && a->diag) {
1941     ierr    = PetscFree(a->diag);CHKERRQ(ierr);
1942     ierr    = PetscLogObjectMemory((PetscObject)A,-(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
1943     a->diag = 0;
1944   }
1945   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);
1946   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);
1947   ierr = PetscInfo1(A,"Number of mallocs during MatSetValues is %D\n",a->reallocs);CHKERRQ(ierr);
1948   ierr = PetscInfo1(A,"Most nonzeros blocks in any row is %D\n",rmax);CHKERRQ(ierr);
1949 
1950   A->info.mallocs    += a->reallocs;
1951   a->reallocs         = 0;
1952   A->info.nz_unneeded = (PetscReal)fshift*bs2;
1953   a->rmax             = rmax;
1954 
1955   if (!A->structure_only) {
1956     ierr = MatCheckCompressedRow(A,a->nonzerorowcnt,&a->compressedrow,a->i,mbs,ratio);CHKERRQ(ierr);
1957   }
1958   PetscFunctionReturn(0);
1959 }
1960 
1961 /*
1962    This function returns an array of flags which indicate the locations of contiguous
1963    blocks that should be zeroed. for eg: if bs = 3  and is = [0,1,2,3,5,6,7,8,9]
1964    then the resulting sizes = [3,1,1,3,1] correspondig to sets [(0,1,2),(3),(5),(6,7,8),(9)]
1965    Assume: sizes should be long enough to hold all the values.
1966 */
1967 static PetscErrorCode MatZeroRows_SeqBAIJ_Check_Blocks(PetscInt idx[],PetscInt n,PetscInt bs,PetscInt sizes[], PetscInt *bs_max)
1968 {
1969   PetscInt  i,j,k,row;
1970   PetscBool flg;
1971 
1972   PetscFunctionBegin;
1973   for (i=0,j=0; i<n; j++) {
1974     row = idx[i];
1975     if (row%bs!=0) { /* Not the begining of a block */
1976       sizes[j] = 1;
1977       i++;
1978     } else if (i+bs > n) { /* complete block doesn't exist (at idx end) */
1979       sizes[j] = 1;         /* Also makes sure atleast 'bs' values exist for next else */
1980       i++;
1981     } else { /* Begining of the block, so check if the complete block exists */
1982       flg = PETSC_TRUE;
1983       for (k=1; k<bs; k++) {
1984         if (row+k != idx[i+k]) { /* break in the block */
1985           flg = PETSC_FALSE;
1986           break;
1987         }
1988       }
1989       if (flg) { /* No break in the bs */
1990         sizes[j] = bs;
1991         i       += bs;
1992       } else {
1993         sizes[j] = 1;
1994         i++;
1995       }
1996     }
1997   }
1998   *bs_max = j;
1999   PetscFunctionReturn(0);
2000 }
2001 
2002 PetscErrorCode MatZeroRows_SeqBAIJ(Mat A,PetscInt is_n,const PetscInt is_idx[],PetscScalar diag,Vec x, Vec b)
2003 {
2004   Mat_SeqBAIJ       *baij=(Mat_SeqBAIJ*)A->data;
2005   PetscErrorCode    ierr;
2006   PetscInt          i,j,k,count,*rows;
2007   PetscInt          bs=A->rmap->bs,bs2=baij->bs2,*sizes,row,bs_max;
2008   PetscScalar       zero = 0.0;
2009   MatScalar         *aa;
2010   const PetscScalar *xx;
2011   PetscScalar       *bb;
2012 
2013   PetscFunctionBegin;
2014   /* fix right hand side if needed */
2015   if (x && b) {
2016     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
2017     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
2018     for (i=0; i<is_n; i++) {
2019       bb[is_idx[i]] = diag*xx[is_idx[i]];
2020     }
2021     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
2022     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
2023   }
2024 
2025   /* Make a copy of the IS and  sort it */
2026   /* allocate memory for rows,sizes */
2027   ierr = PetscMalloc2(is_n,&rows,2*is_n,&sizes);CHKERRQ(ierr);
2028 
2029   /* copy IS values to rows, and sort them */
2030   for (i=0; i<is_n; i++) rows[i] = is_idx[i];
2031   ierr = PetscSortInt(is_n,rows);CHKERRQ(ierr);
2032 
2033   if (baij->keepnonzeropattern) {
2034     for (i=0; i<is_n; i++) sizes[i] = 1;
2035     bs_max          = is_n;
2036   } else {
2037     ierr = MatZeroRows_SeqBAIJ_Check_Blocks(rows,is_n,bs,sizes,&bs_max);CHKERRQ(ierr);
2038     A->nonzerostate++;
2039   }
2040 
2041   for (i=0,j=0; i<bs_max; j+=sizes[i],i++) {
2042     row = rows[j];
2043     if (row < 0 || row > A->rmap->N) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range",row);
2044     count = (baij->i[row/bs +1] - baij->i[row/bs])*bs;
2045     aa    = ((MatScalar*)(baij->a)) + baij->i[row/bs]*bs2 + (row%bs);
2046     if (sizes[i] == bs && !baij->keepnonzeropattern) {
2047       if (diag != (PetscScalar)0.0) {
2048         if (baij->ilen[row/bs] > 0) {
2049           baij->ilen[row/bs]       = 1;
2050           baij->j[baij->i[row/bs]] = row/bs;
2051 
2052           ierr = PetscArrayzero(aa,count*bs);CHKERRQ(ierr);
2053         }
2054         /* Now insert all the diagonal values for this bs */
2055         for (k=0; k<bs; k++) {
2056           ierr = (*A->ops->setvalues)(A,1,rows+j+k,1,rows+j+k,&diag,INSERT_VALUES);CHKERRQ(ierr);
2057         }
2058       } else { /* (diag == 0.0) */
2059         baij->ilen[row/bs] = 0;
2060       } /* end (diag == 0.0) */
2061     } else { /* (sizes[i] != bs) */
2062 #if defined(PETSC_USE_DEBUG)
2063       if (sizes[i] != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Internal Error. Value should be 1");
2064 #endif
2065       for (k=0; k<count; k++) {
2066         aa[0] =  zero;
2067         aa   += bs;
2068       }
2069       if (diag != (PetscScalar)0.0) {
2070         ierr = (*A->ops->setvalues)(A,1,rows+j,1,rows+j,&diag,INSERT_VALUES);CHKERRQ(ierr);
2071       }
2072     }
2073   }
2074 
2075   ierr = PetscFree2(rows,sizes);CHKERRQ(ierr);
2076   ierr = MatAssemblyEnd_SeqBAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2077   PetscFunctionReturn(0);
2078 }
2079 
2080 PetscErrorCode MatZeroRowsColumns_SeqBAIJ(Mat A,PetscInt is_n,const PetscInt is_idx[],PetscScalar diag,Vec x, Vec b)
2081 {
2082   Mat_SeqBAIJ       *baij=(Mat_SeqBAIJ*)A->data;
2083   PetscErrorCode    ierr;
2084   PetscInt          i,j,k,count;
2085   PetscInt          bs   =A->rmap->bs,bs2=baij->bs2,row,col;
2086   PetscScalar       zero = 0.0;
2087   MatScalar         *aa;
2088   const PetscScalar *xx;
2089   PetscScalar       *bb;
2090   PetscBool         *zeroed,vecs = PETSC_FALSE;
2091 
2092   PetscFunctionBegin;
2093   /* fix right hand side if needed */
2094   if (x && b) {
2095     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
2096     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
2097     vecs = PETSC_TRUE;
2098   }
2099 
2100   /* zero the columns */
2101   ierr = PetscCalloc1(A->rmap->n,&zeroed);CHKERRQ(ierr);
2102   for (i=0; i<is_n; i++) {
2103     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]);
2104     zeroed[is_idx[i]] = PETSC_TRUE;
2105   }
2106   for (i=0; i<A->rmap->N; i++) {
2107     if (!zeroed[i]) {
2108       row = i/bs;
2109       for (j=baij->i[row]; j<baij->i[row+1]; j++) {
2110         for (k=0; k<bs; k++) {
2111           col = bs*baij->j[j] + k;
2112           if (zeroed[col]) {
2113             aa = ((MatScalar*)(baij->a)) + j*bs2 + (i%bs) + bs*k;
2114             if (vecs) bb[i] -= aa[0]*xx[col];
2115             aa[0] = 0.0;
2116           }
2117         }
2118       }
2119     } else if (vecs) bb[i] = diag*xx[i];
2120   }
2121   ierr = PetscFree(zeroed);CHKERRQ(ierr);
2122   if (vecs) {
2123     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
2124     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
2125   }
2126 
2127   /* zero the rows */
2128   for (i=0; i<is_n; i++) {
2129     row   = is_idx[i];
2130     count = (baij->i[row/bs +1] - baij->i[row/bs])*bs;
2131     aa    = ((MatScalar*)(baij->a)) + baij->i[row/bs]*bs2 + (row%bs);
2132     for (k=0; k<count; k++) {
2133       aa[0] =  zero;
2134       aa   += bs;
2135     }
2136     if (diag != (PetscScalar)0.0) {
2137       ierr = (*A->ops->setvalues)(A,1,&row,1,&row,&diag,INSERT_VALUES);CHKERRQ(ierr);
2138     }
2139   }
2140   ierr = MatAssemblyEnd_SeqBAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2141   PetscFunctionReturn(0);
2142 }
2143 
2144 PetscErrorCode MatSetValues_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
2145 {
2146   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2147   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N,lastcol = -1;
2148   PetscInt       *imax=a->imax,*ai=a->i,*ailen=a->ilen;
2149   PetscInt       *aj  =a->j,nonew=a->nonew,bs=A->rmap->bs,brow,bcol;
2150   PetscErrorCode ierr;
2151   PetscInt       ridx,cidx,bs2=a->bs2;
2152   PetscBool      roworiented=a->roworiented;
2153   MatScalar      *ap=NULL,value=0.0,*aa=a->a,*bap;
2154 
2155   PetscFunctionBegin;
2156   for (k=0; k<m; k++) { /* loop over added rows */
2157     row  = im[k];
2158     brow = row/bs;
2159     if (row < 0) continue;
2160 #if defined(PETSC_USE_DEBUG)
2161     if (row >= A->rmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,A->rmap->N-1);
2162 #endif
2163     rp   = aj + ai[brow];
2164     if (!A->structure_only) ap = aa + bs2*ai[brow];
2165     rmax = imax[brow];
2166     nrow = ailen[brow];
2167     low  = 0;
2168     high = nrow;
2169     for (l=0; l<n; l++) { /* loop over added columns */
2170       if (in[l] < 0) continue;
2171 #if defined(PETSC_USE_DEBUG)
2172       if (in[l] >= A->cmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],A->cmap->n-1);
2173 #endif
2174       col  = in[l]; bcol = col/bs;
2175       ridx = row % bs; cidx = col % bs;
2176       if (!A->structure_only) {
2177         if (roworiented) {
2178           value = v[l + k*n];
2179         } else {
2180           value = v[k + l*m];
2181         }
2182       }
2183       if (col <= lastcol) low = 0; else high = nrow;
2184       lastcol = col;
2185       while (high-low > 7) {
2186         t = (low+high)/2;
2187         if (rp[t] > bcol) high = t;
2188         else              low  = t;
2189       }
2190       for (i=low; i<high; i++) {
2191         if (rp[i] > bcol) break;
2192         if (rp[i] == bcol) {
2193           bap = ap +  bs2*i + bs*cidx + ridx;
2194           if (!A->structure_only) {
2195             if (is == ADD_VALUES) *bap += value;
2196             else                  *bap  = value;
2197           }
2198           goto noinsert1;
2199         }
2200       }
2201       if (nonew == 1) goto noinsert1;
2202       if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) in the matrix", row, col);
2203       if (A->structure_only) {
2204         MatSeqXAIJReallocateAIJ_structure_only(A,a->mbs,bs2,nrow,brow,bcol,rmax,ai,aj,rp,imax,nonew,MatScalar);
2205       } else {
2206         MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
2207       }
2208       N = nrow++ - 1; high++;
2209       /* shift up all the later entries in this row */
2210       ierr  = PetscArraymove(rp+i+1,rp+i,N-i+1);CHKERRQ(ierr);
2211       rp[i] = bcol;
2212       if (!A->structure_only) {
2213         ierr = PetscArraymove(ap+bs2*(i+1),ap+bs2*i,bs2*(N-i+1));CHKERRQ(ierr);
2214         ierr = PetscArrayzero(ap+bs2*i,bs2);CHKERRQ(ierr);
2215         ap[bs2*i + bs*cidx + ridx] = value;
2216       }
2217       a->nz++;
2218       A->nonzerostate++;
2219 noinsert1:;
2220       low = i;
2221     }
2222     ailen[brow] = nrow;
2223   }
2224   PetscFunctionReturn(0);
2225 }
2226 
2227 PetscErrorCode MatILUFactor_SeqBAIJ(Mat inA,IS row,IS col,const MatFactorInfo *info)
2228 {
2229   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)inA->data;
2230   Mat            outA;
2231   PetscErrorCode ierr;
2232   PetscBool      row_identity,col_identity;
2233 
2234   PetscFunctionBegin;
2235   if (info->levels != 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only levels = 0 supported for in-place ILU");
2236   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
2237   ierr = ISIdentity(col,&col_identity);CHKERRQ(ierr);
2238   if (!row_identity || !col_identity) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Row and column permutations must be identity for in-place ILU");
2239 
2240   outA            = inA;
2241   inA->factortype = MAT_FACTOR_LU;
2242   ierr = PetscFree(inA->solvertype);CHKERRQ(ierr);
2243   ierr = PetscStrallocpy(MATSOLVERPETSC,&inA->solvertype);CHKERRQ(ierr);
2244 
2245   ierr = MatMarkDiagonal_SeqBAIJ(inA);CHKERRQ(ierr);
2246 
2247   ierr   = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
2248   ierr   = ISDestroy(&a->row);CHKERRQ(ierr);
2249   a->row = row;
2250   ierr   = PetscObjectReference((PetscObject)col);CHKERRQ(ierr);
2251   ierr   = ISDestroy(&a->col);CHKERRQ(ierr);
2252   a->col = col;
2253 
2254   /* Create the invert permutation so that it can be used in MatLUFactorNumeric() */
2255   ierr = ISDestroy(&a->icol);CHKERRQ(ierr);
2256   ierr = ISInvertPermutation(col,PETSC_DECIDE,&a->icol);CHKERRQ(ierr);
2257   ierr = PetscLogObjectParent((PetscObject)inA,(PetscObject)a->icol);CHKERRQ(ierr);
2258 
2259   ierr = MatSeqBAIJSetNumericFactorization_inplace(inA,(PetscBool)(row_identity && col_identity));CHKERRQ(ierr);
2260   if (!a->solve_work) {
2261     ierr = PetscMalloc1(inA->rmap->N+inA->rmap->bs,&a->solve_work);CHKERRQ(ierr);
2262     ierr = PetscLogObjectMemory((PetscObject)inA,(inA->rmap->N+inA->rmap->bs)*sizeof(PetscScalar));CHKERRQ(ierr);
2263   }
2264   ierr = MatLUFactorNumeric(outA,inA,info);CHKERRQ(ierr);
2265   PetscFunctionReturn(0);
2266 }
2267 
2268 PetscErrorCode  MatSeqBAIJSetColumnIndices_SeqBAIJ(Mat mat,PetscInt *indices)
2269 {
2270   Mat_SeqBAIJ *baij = (Mat_SeqBAIJ*)mat->data;
2271   PetscInt    i,nz,mbs;
2272 
2273   PetscFunctionBegin;
2274   nz  = baij->maxnz;
2275   mbs = baij->mbs;
2276   for (i=0; i<nz; i++) {
2277     baij->j[i] = indices[i];
2278   }
2279   baij->nz = nz;
2280   for (i=0; i<mbs; i++) {
2281     baij->ilen[i] = baij->imax[i];
2282   }
2283   PetscFunctionReturn(0);
2284 }
2285 
2286 /*@
2287     MatSeqBAIJSetColumnIndices - Set the column indices for all the rows
2288        in the matrix.
2289 
2290   Input Parameters:
2291 +  mat - the SeqBAIJ matrix
2292 -  indices - the column indices
2293 
2294   Level: advanced
2295 
2296   Notes:
2297     This can be called if you have precomputed the nonzero structure of the
2298   matrix and want to provide it to the matrix object to improve the performance
2299   of the MatSetValues() operation.
2300 
2301     You MUST have set the correct numbers of nonzeros per row in the call to
2302   MatCreateSeqBAIJ(), and the columns indices MUST be sorted.
2303 
2304     MUST be called before any calls to MatSetValues();
2305 
2306 @*/
2307 PetscErrorCode  MatSeqBAIJSetColumnIndices(Mat mat,PetscInt *indices)
2308 {
2309   PetscErrorCode ierr;
2310 
2311   PetscFunctionBegin;
2312   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2313   PetscValidPointer(indices,2);
2314   ierr = PetscUseMethod(mat,"MatSeqBAIJSetColumnIndices_C",(Mat,PetscInt*),(mat,indices));CHKERRQ(ierr);
2315   PetscFunctionReturn(0);
2316 }
2317 
2318 PetscErrorCode MatGetRowMaxAbs_SeqBAIJ(Mat A,Vec v,PetscInt idx[])
2319 {
2320   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2321   PetscErrorCode ierr;
2322   PetscInt       i,j,n,row,bs,*ai,*aj,mbs;
2323   PetscReal      atmp;
2324   PetscScalar    *x,zero = 0.0;
2325   MatScalar      *aa;
2326   PetscInt       ncols,brow,krow,kcol;
2327 
2328   PetscFunctionBegin;
2329   if (A->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2330   bs  = A->rmap->bs;
2331   aa  = a->a;
2332   ai  = a->i;
2333   aj  = a->j;
2334   mbs = a->mbs;
2335 
2336   ierr = VecSet(v,zero);CHKERRQ(ierr);
2337   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2338   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2339   if (n != A->rmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2340   for (i=0; i<mbs; i++) {
2341     ncols = ai[1] - ai[0]; ai++;
2342     brow  = bs*i;
2343     for (j=0; j<ncols; j++) {
2344       for (kcol=0; kcol<bs; kcol++) {
2345         for (krow=0; krow<bs; krow++) {
2346           atmp = PetscAbsScalar(*aa);aa++;
2347           row  = brow + krow;   /* row index */
2348           if (PetscAbsScalar(x[row]) < atmp) {x[row] = atmp; if (idx) idx[row] = bs*(*aj) + kcol;}
2349         }
2350       }
2351       aj++;
2352     }
2353   }
2354   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2355   PetscFunctionReturn(0);
2356 }
2357 
2358 PetscErrorCode MatCopy_SeqBAIJ(Mat A,Mat B,MatStructure str)
2359 {
2360   PetscErrorCode ierr;
2361 
2362   PetscFunctionBegin;
2363   /* If the two matrices have the same copy implementation, use fast copy. */
2364   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
2365     Mat_SeqBAIJ *a  = (Mat_SeqBAIJ*)A->data;
2366     Mat_SeqBAIJ *b  = (Mat_SeqBAIJ*)B->data;
2367     PetscInt    ambs=a->mbs,bmbs=b->mbs,abs=A->rmap->bs,bbs=B->rmap->bs,bs2=abs*abs;
2368 
2369     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]);
2370     if (abs != bbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Block size A %D and B %D are different",abs,bbs);
2371     ierr = PetscArraycpy(b->a,a->a,bs2*a->i[ambs]);CHKERRQ(ierr);
2372     ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
2373   } else {
2374     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
2375   }
2376   PetscFunctionReturn(0);
2377 }
2378 
2379 PetscErrorCode MatSetUp_SeqBAIJ(Mat A)
2380 {
2381   PetscErrorCode ierr;
2382 
2383   PetscFunctionBegin;
2384   ierr = MatSeqBAIJSetPreallocation(A,A->rmap->bs,PETSC_DEFAULT,0);CHKERRQ(ierr);
2385   PetscFunctionReturn(0);
2386 }
2387 
2388 static PetscErrorCode MatSeqBAIJGetArray_SeqBAIJ(Mat A,PetscScalar *array[])
2389 {
2390   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
2391 
2392   PetscFunctionBegin;
2393   *array = a->a;
2394   PetscFunctionReturn(0);
2395 }
2396 
2397 static PetscErrorCode MatSeqBAIJRestoreArray_SeqBAIJ(Mat A,PetscScalar *array[])
2398 {
2399   PetscFunctionBegin;
2400   *array = NULL;
2401   PetscFunctionReturn(0);
2402 }
2403 
2404 PetscErrorCode MatAXPYGetPreallocation_SeqBAIJ(Mat Y,Mat X,PetscInt *nnz)
2405 {
2406   PetscInt       bs = Y->rmap->bs,mbs = Y->rmap->N/bs;
2407   Mat_SeqBAIJ    *x = (Mat_SeqBAIJ*)X->data;
2408   Mat_SeqBAIJ    *y = (Mat_SeqBAIJ*)Y->data;
2409   PetscErrorCode ierr;
2410 
2411   PetscFunctionBegin;
2412   /* Set the number of nonzeros in the new matrix */
2413   ierr = MatAXPYGetPreallocation_SeqX_private(mbs,x->i,x->j,y->i,y->j,nnz);CHKERRQ(ierr);
2414   PetscFunctionReturn(0);
2415 }
2416 
2417 PetscErrorCode MatAXPY_SeqBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
2418 {
2419   Mat_SeqBAIJ    *x = (Mat_SeqBAIJ*)X->data,*y = (Mat_SeqBAIJ*)Y->data;
2420   PetscErrorCode ierr;
2421   PetscInt       bs=Y->rmap->bs,bs2=bs*bs;
2422   PetscBLASInt   one=1;
2423 
2424   PetscFunctionBegin;
2425   if (str == SAME_NONZERO_PATTERN) {
2426     PetscScalar  alpha = a;
2427     PetscBLASInt bnz;
2428     ierr = PetscBLASIntCast(x->nz*bs2,&bnz);CHKERRQ(ierr);
2429     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
2430     ierr = PetscObjectStateIncrease((PetscObject)Y);CHKERRQ(ierr);
2431   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
2432     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
2433   } else {
2434     Mat      B;
2435     PetscInt *nnz;
2436     if (bs != X->rmap->bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Matrices must have same block size");
2437     ierr = PetscMalloc1(Y->rmap->N,&nnz);CHKERRQ(ierr);
2438     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
2439     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
2440     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
2441     ierr = MatSetBlockSizesFromMats(B,Y,Y);CHKERRQ(ierr);
2442     ierr = MatSetType(B,(MatType) ((PetscObject)Y)->type_name);CHKERRQ(ierr);
2443     ierr = MatAXPYGetPreallocation_SeqBAIJ(Y,X,nnz);CHKERRQ(ierr);
2444     ierr = MatSeqBAIJSetPreallocation(B,bs,0,nnz);CHKERRQ(ierr);
2445     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
2446     ierr = MatHeaderReplace(Y,&B);CHKERRQ(ierr);
2447     ierr = PetscFree(nnz);CHKERRQ(ierr);
2448   }
2449   PetscFunctionReturn(0);
2450 }
2451 
2452 PetscErrorCode MatRealPart_SeqBAIJ(Mat A)
2453 {
2454   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
2455   PetscInt    i,nz = a->bs2*a->i[a->mbs];
2456   MatScalar   *aa = a->a;
2457 
2458   PetscFunctionBegin;
2459   for (i=0; i<nz; i++) aa[i] = PetscRealPart(aa[i]);
2460   PetscFunctionReturn(0);
2461 }
2462 
2463 PetscErrorCode MatImaginaryPart_SeqBAIJ(Mat A)
2464 {
2465   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
2466   PetscInt    i,nz = a->bs2*a->i[a->mbs];
2467   MatScalar   *aa = a->a;
2468 
2469   PetscFunctionBegin;
2470   for (i=0; i<nz; i++) aa[i] = PetscImaginaryPart(aa[i]);
2471   PetscFunctionReturn(0);
2472 }
2473 
2474 /*
2475     Code almost idential to MatGetColumnIJ_SeqAIJ() should share common code
2476 */
2477 PetscErrorCode MatGetColumnIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
2478 {
2479   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2480   PetscErrorCode ierr;
2481   PetscInt       bs = A->rmap->bs,i,*collengths,*cia,*cja,n = A->cmap->n/bs,m = A->rmap->n/bs;
2482   PetscInt       nz = a->i[m],row,*jj,mr,col;
2483 
2484   PetscFunctionBegin;
2485   *nn = n;
2486   if (!ia) PetscFunctionReturn(0);
2487   if (symmetric) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not for BAIJ matrices");
2488   else {
2489     ierr = PetscCalloc1(n,&collengths);CHKERRQ(ierr);
2490     ierr = PetscMalloc1(n+1,&cia);CHKERRQ(ierr);
2491     ierr = PetscMalloc1(nz,&cja);CHKERRQ(ierr);
2492     jj   = a->j;
2493     for (i=0; i<nz; i++) {
2494       collengths[jj[i]]++;
2495     }
2496     cia[0] = oshift;
2497     for (i=0; i<n; i++) {
2498       cia[i+1] = cia[i] + collengths[i];
2499     }
2500     ierr = PetscArrayzero(collengths,n);CHKERRQ(ierr);
2501     jj   = a->j;
2502     for (row=0; row<m; row++) {
2503       mr = a->i[row+1] - a->i[row];
2504       for (i=0; i<mr; i++) {
2505         col = *jj++;
2506 
2507         cja[cia[col] + collengths[col]++ - oshift] = row + oshift;
2508       }
2509     }
2510     ierr = PetscFree(collengths);CHKERRQ(ierr);
2511     *ia  = cia; *ja = cja;
2512   }
2513   PetscFunctionReturn(0);
2514 }
2515 
2516 PetscErrorCode MatRestoreColumnIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
2517 {
2518   PetscErrorCode ierr;
2519 
2520   PetscFunctionBegin;
2521   if (!ia) PetscFunctionReturn(0);
2522   ierr = PetscFree(*ia);CHKERRQ(ierr);
2523   ierr = PetscFree(*ja);CHKERRQ(ierr);
2524   PetscFunctionReturn(0);
2525 }
2526 
2527 /*
2528  MatGetColumnIJ_SeqBAIJ_Color() and MatRestoreColumnIJ_SeqBAIJ_Color() are customized from
2529  MatGetColumnIJ_SeqBAIJ() and MatRestoreColumnIJ_SeqBAIJ() by adding an output
2530  spidx[], index of a->a, to be used in MatTransposeColoringCreate() and MatFDColoringCreate()
2531  */
2532 PetscErrorCode MatGetColumnIJ_SeqBAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
2533 {
2534   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2535   PetscErrorCode ierr;
2536   PetscInt       i,*collengths,*cia,*cja,n=a->nbs,m=a->mbs;
2537   PetscInt       nz = a->i[m],row,*jj,mr,col;
2538   PetscInt       *cspidx;
2539 
2540   PetscFunctionBegin;
2541   *nn = n;
2542   if (!ia) PetscFunctionReturn(0);
2543 
2544   ierr = PetscCalloc1(n,&collengths);CHKERRQ(ierr);
2545   ierr = PetscMalloc1(n+1,&cia);CHKERRQ(ierr);
2546   ierr = PetscMalloc1(nz,&cja);CHKERRQ(ierr);
2547   ierr = PetscMalloc1(nz,&cspidx);CHKERRQ(ierr);
2548   jj   = a->j;
2549   for (i=0; i<nz; i++) {
2550     collengths[jj[i]]++;
2551   }
2552   cia[0] = oshift;
2553   for (i=0; i<n; i++) {
2554     cia[i+1] = cia[i] + collengths[i];
2555   }
2556   ierr = PetscArrayzero(collengths,n);CHKERRQ(ierr);
2557   jj   = a->j;
2558   for (row=0; row<m; row++) {
2559     mr = a->i[row+1] - a->i[row];
2560     for (i=0; i<mr; i++) {
2561       col = *jj++;
2562       cspidx[cia[col] + collengths[col] - oshift] = a->i[row] + i; /* index of a->j */
2563       cja[cia[col] + collengths[col]++ - oshift]  = row + oshift;
2564     }
2565   }
2566   ierr   = PetscFree(collengths);CHKERRQ(ierr);
2567   *ia    = cia;
2568   *ja    = cja;
2569   *spidx = cspidx;
2570   PetscFunctionReturn(0);
2571 }
2572 
2573 PetscErrorCode MatRestoreColumnIJ_SeqBAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
2574 {
2575   PetscErrorCode ierr;
2576 
2577   PetscFunctionBegin;
2578   ierr = MatRestoreColumnIJ_SeqBAIJ(A,oshift,symmetric,inodecompressed,n,ia,ja,done);CHKERRQ(ierr);
2579   ierr = PetscFree(*spidx);CHKERRQ(ierr);
2580   PetscFunctionReturn(0);
2581 }
2582 
2583 PetscErrorCode MatShift_SeqBAIJ(Mat Y,PetscScalar a)
2584 {
2585   PetscErrorCode ierr;
2586   Mat_SeqBAIJ     *aij = (Mat_SeqBAIJ*)Y->data;
2587 
2588   PetscFunctionBegin;
2589   if (!Y->preallocated || !aij->nz) {
2590     ierr = MatSeqBAIJSetPreallocation(Y,Y->rmap->bs,1,NULL);CHKERRQ(ierr);
2591   }
2592   ierr = MatShift_Basic(Y,a);CHKERRQ(ierr);
2593   PetscFunctionReturn(0);
2594 }
2595 
2596 /* -------------------------------------------------------------------*/
2597 static struct _MatOps MatOps_Values = {MatSetValues_SeqBAIJ,
2598                                        MatGetRow_SeqBAIJ,
2599                                        MatRestoreRow_SeqBAIJ,
2600                                        MatMult_SeqBAIJ_N,
2601                                /* 4*/  MatMultAdd_SeqBAIJ_N,
2602                                        MatMultTranspose_SeqBAIJ,
2603                                        MatMultTransposeAdd_SeqBAIJ,
2604                                        0,
2605                                        0,
2606                                        0,
2607                                /* 10*/ 0,
2608                                        MatLUFactor_SeqBAIJ,
2609                                        0,
2610                                        0,
2611                                        MatTranspose_SeqBAIJ,
2612                                /* 15*/ MatGetInfo_SeqBAIJ,
2613                                        MatEqual_SeqBAIJ,
2614                                        MatGetDiagonal_SeqBAIJ,
2615                                        MatDiagonalScale_SeqBAIJ,
2616                                        MatNorm_SeqBAIJ,
2617                                /* 20*/ 0,
2618                                        MatAssemblyEnd_SeqBAIJ,
2619                                        MatSetOption_SeqBAIJ,
2620                                        MatZeroEntries_SeqBAIJ,
2621                                /* 24*/ MatZeroRows_SeqBAIJ,
2622                                        0,
2623                                        0,
2624                                        0,
2625                                        0,
2626                                /* 29*/ MatSetUp_SeqBAIJ,
2627                                        0,
2628                                        0,
2629                                        0,
2630                                        0,
2631                                /* 34*/ MatDuplicate_SeqBAIJ,
2632                                        0,
2633                                        0,
2634                                        MatILUFactor_SeqBAIJ,
2635                                        0,
2636                                /* 39*/ MatAXPY_SeqBAIJ,
2637                                        MatCreateSubMatrices_SeqBAIJ,
2638                                        MatIncreaseOverlap_SeqBAIJ,
2639                                        MatGetValues_SeqBAIJ,
2640                                        MatCopy_SeqBAIJ,
2641                                /* 44*/ 0,
2642                                        MatScale_SeqBAIJ,
2643                                        MatShift_SeqBAIJ,
2644                                        0,
2645                                        MatZeroRowsColumns_SeqBAIJ,
2646                                /* 49*/ 0,
2647                                        MatGetRowIJ_SeqBAIJ,
2648                                        MatRestoreRowIJ_SeqBAIJ,
2649                                        MatGetColumnIJ_SeqBAIJ,
2650                                        MatRestoreColumnIJ_SeqBAIJ,
2651                                /* 54*/ MatFDColoringCreate_SeqXAIJ,
2652                                        0,
2653                                        0,
2654                                        0,
2655                                        MatSetValuesBlocked_SeqBAIJ,
2656                                /* 59*/ MatCreateSubMatrix_SeqBAIJ,
2657                                        MatDestroy_SeqBAIJ,
2658                                        MatView_SeqBAIJ,
2659                                        0,
2660                                        0,
2661                                /* 64*/ 0,
2662                                        0,
2663                                        0,
2664                                        0,
2665                                        0,
2666                                /* 69*/ MatGetRowMaxAbs_SeqBAIJ,
2667                                        0,
2668                                        MatConvert_Basic,
2669                                        0,
2670                                        0,
2671                                /* 74*/ 0,
2672                                        MatFDColoringApply_BAIJ,
2673                                        0,
2674                                        0,
2675                                        0,
2676                                /* 79*/ 0,
2677                                        0,
2678                                        0,
2679                                        0,
2680                                        MatLoad_SeqBAIJ,
2681                                /* 84*/ 0,
2682                                        0,
2683                                        0,
2684                                        0,
2685                                        0,
2686                                /* 89*/ 0,
2687                                        0,
2688                                        0,
2689                                        0,
2690                                        0,
2691                                /* 94*/ 0,
2692                                        0,
2693                                        0,
2694                                        0,
2695                                        0,
2696                                /* 99*/ 0,
2697                                        0,
2698                                        0,
2699                                        0,
2700                                        0,
2701                                /*104*/ 0,
2702                                        MatRealPart_SeqBAIJ,
2703                                        MatImaginaryPart_SeqBAIJ,
2704                                        0,
2705                                        0,
2706                                /*109*/ 0,
2707                                        0,
2708                                        0,
2709                                        0,
2710                                        MatMissingDiagonal_SeqBAIJ,
2711                                /*114*/ 0,
2712                                        0,
2713                                        0,
2714                                        0,
2715                                        0,
2716                                /*119*/ 0,
2717                                        0,
2718                                        MatMultHermitianTranspose_SeqBAIJ,
2719                                        MatMultHermitianTransposeAdd_SeqBAIJ,
2720                                        0,
2721                                /*124*/ 0,
2722                                        0,
2723                                        MatInvertBlockDiagonal_SeqBAIJ,
2724                                        0,
2725                                        0,
2726                                /*129*/ 0,
2727                                        0,
2728                                        0,
2729                                        0,
2730                                        0,
2731                                /*134*/ 0,
2732                                        0,
2733                                        0,
2734                                        0,
2735                                        0,
2736                                /*139*/ MatSetBlockSizes_Default,
2737                                        0,
2738                                        0,
2739                                        MatFDColoringSetUp_SeqXAIJ,
2740                                        0,
2741                                 /*144*/MatCreateMPIMatConcatenateSeqMat_SeqBAIJ,
2742                                        MatDestroySubMatrices_SeqBAIJ
2743 };
2744 
2745 PetscErrorCode  MatStoreValues_SeqBAIJ(Mat mat)
2746 {
2747   Mat_SeqBAIJ    *aij = (Mat_SeqBAIJ*)mat->data;
2748   PetscInt       nz   = aij->i[aij->mbs]*aij->bs2;
2749   PetscErrorCode ierr;
2750 
2751   PetscFunctionBegin;
2752   if (aij->nonew != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
2753 
2754   /* allocate space for values if not already there */
2755   if (!aij->saved_values) {
2756     ierr = PetscMalloc1(nz+1,&aij->saved_values);CHKERRQ(ierr);
2757     ierr = PetscLogObjectMemory((PetscObject)mat,(nz+1)*sizeof(PetscScalar));CHKERRQ(ierr);
2758   }
2759 
2760   /* copy values over */
2761   ierr = PetscArraycpy(aij->saved_values,aij->a,nz);CHKERRQ(ierr);
2762   PetscFunctionReturn(0);
2763 }
2764 
2765 PetscErrorCode  MatRetrieveValues_SeqBAIJ(Mat mat)
2766 {
2767   Mat_SeqBAIJ    *aij = (Mat_SeqBAIJ*)mat->data;
2768   PetscErrorCode ierr;
2769   PetscInt       nz = aij->i[aij->mbs]*aij->bs2;
2770 
2771   PetscFunctionBegin;
2772   if (aij->nonew != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
2773   if (!aij->saved_values) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
2774 
2775   /* copy values over */
2776   ierr = PetscArraycpy(aij->a,aij->saved_values,nz);CHKERRQ(ierr);
2777   PetscFunctionReturn(0);
2778 }
2779 
2780 PETSC_INTERN PetscErrorCode MatConvert_SeqBAIJ_SeqAIJ(Mat, MatType,MatReuse,Mat*);
2781 PETSC_INTERN PetscErrorCode MatConvert_SeqBAIJ_SeqSBAIJ(Mat, MatType,MatReuse,Mat*);
2782 
2783 PetscErrorCode  MatSeqBAIJSetPreallocation_SeqBAIJ(Mat B,PetscInt bs,PetscInt nz,PetscInt *nnz)
2784 {
2785   Mat_SeqBAIJ    *b;
2786   PetscErrorCode ierr;
2787   PetscInt       i,mbs,nbs,bs2;
2788   PetscBool      flg = PETSC_FALSE,skipallocation = PETSC_FALSE,realalloc = PETSC_FALSE;
2789 
2790   PetscFunctionBegin;
2791   if (nz >= 0 || nnz) realalloc = PETSC_TRUE;
2792   if (nz == MAT_SKIP_ALLOCATION) {
2793     skipallocation = PETSC_TRUE;
2794     nz             = 0;
2795   }
2796 
2797   ierr = MatSetBlockSize(B,PetscAbs(bs));CHKERRQ(ierr);
2798   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
2799   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
2800   ierr = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
2801 
2802   B->preallocated = PETSC_TRUE;
2803 
2804   mbs = B->rmap->n/bs;
2805   nbs = B->cmap->n/bs;
2806   bs2 = bs*bs;
2807 
2808   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);
2809 
2810   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
2811   if (nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %D",nz);
2812   if (nnz) {
2813     for (i=0; i<mbs; i++) {
2814       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]);
2815       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);
2816     }
2817   }
2818 
2819   b    = (Mat_SeqBAIJ*)B->data;
2820   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)B),NULL,"Optimize options for SEQBAIJ matrix 2 ","Mat");CHKERRQ(ierr);
2821   ierr = PetscOptionsBool("-mat_no_unroll","Do not optimize for block size (slow)",NULL,flg,&flg,NULL);CHKERRQ(ierr);
2822   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2823 
2824   if (!flg) {
2825     switch (bs) {
2826     case 1:
2827       B->ops->mult    = MatMult_SeqBAIJ_1;
2828       B->ops->multadd = MatMultAdd_SeqBAIJ_1;
2829       break;
2830     case 2:
2831       B->ops->mult    = MatMult_SeqBAIJ_2;
2832       B->ops->multadd = MatMultAdd_SeqBAIJ_2;
2833       break;
2834     case 3:
2835       B->ops->mult    = MatMult_SeqBAIJ_3;
2836       B->ops->multadd = MatMultAdd_SeqBAIJ_3;
2837       break;
2838     case 4:
2839       B->ops->mult    = MatMult_SeqBAIJ_4;
2840       B->ops->multadd = MatMultAdd_SeqBAIJ_4;
2841       break;
2842     case 5:
2843       B->ops->mult    = MatMult_SeqBAIJ_5;
2844       B->ops->multadd = MatMultAdd_SeqBAIJ_5;
2845       break;
2846     case 6:
2847       B->ops->mult    = MatMult_SeqBAIJ_6;
2848       B->ops->multadd = MatMultAdd_SeqBAIJ_6;
2849       break;
2850     case 7:
2851       B->ops->mult    = MatMult_SeqBAIJ_7;
2852       B->ops->multadd = MatMultAdd_SeqBAIJ_7;
2853       break;
2854     case 9:
2855 #if defined(PETSC_HAVE_IMMINTRIN_H) && defined(__AVX2__) && defined(__FMA__) && defined(PETSC_USE_REAL_DOUBLE) && !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_64BIT_INDICES)
2856       B->ops->mult    = MatMult_SeqBAIJ_9_AVX2;
2857       B->ops->multadd = MatMultAdd_SeqBAIJ_9_AVX2;
2858 #else
2859       B->ops->mult    = MatMult_SeqBAIJ_N;
2860       B->ops->multadd = MatMultAdd_SeqBAIJ_N;
2861 #endif
2862       break;
2863     case 11:
2864       B->ops->mult    = MatMult_SeqBAIJ_11;
2865       B->ops->multadd = MatMultAdd_SeqBAIJ_11;
2866       break;
2867     case 15:
2868       B->ops->mult    = MatMult_SeqBAIJ_15_ver1;
2869       B->ops->multadd = MatMultAdd_SeqBAIJ_N;
2870       break;
2871     default:
2872       B->ops->mult    = MatMult_SeqBAIJ_N;
2873       B->ops->multadd = MatMultAdd_SeqBAIJ_N;
2874       break;
2875     }
2876   }
2877   B->ops->sor = MatSOR_SeqBAIJ;
2878   b->mbs = mbs;
2879   b->nbs = nbs;
2880   if (!skipallocation) {
2881     if (!b->imax) {
2882       ierr = PetscMalloc2(mbs,&b->imax,mbs,&b->ilen);CHKERRQ(ierr);
2883       ierr = PetscLogObjectMemory((PetscObject)B,2*mbs*sizeof(PetscInt));CHKERRQ(ierr);
2884 
2885       b->free_imax_ilen = PETSC_TRUE;
2886     }
2887     /* b->ilen will count nonzeros in each block row so far. */
2888     for (i=0; i<mbs; i++) b->ilen[i] = 0;
2889     if (!nnz) {
2890       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
2891       else if (nz < 0) nz = 1;
2892       nz = PetscMin(nz,nbs);
2893       for (i=0; i<mbs; i++) b->imax[i] = nz;
2894       nz = nz*mbs;
2895     } else {
2896       PetscInt64 nz64 = 0;
2897       for (i=0; i<mbs; i++) {b->imax[i] = nnz[i]; nz64 += nnz[i];}
2898       ierr = PetscIntCast(nz64,&nz);CHKERRQ(ierr);
2899     }
2900 
2901     /* allocate the matrix space */
2902     ierr = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
2903     if (B->structure_only) {
2904       ierr = PetscMalloc1(nz,&b->j);CHKERRQ(ierr);
2905       ierr = PetscMalloc1(B->rmap->N+1,&b->i);CHKERRQ(ierr);
2906       ierr = PetscLogObjectMemory((PetscObject)B,(B->rmap->N+1)*sizeof(PetscInt)+nz*sizeof(PetscInt));CHKERRQ(ierr);
2907     } else {
2908       ierr = PetscMalloc3(bs2*nz,&b->a,nz,&b->j,B->rmap->N+1,&b->i);CHKERRQ(ierr);
2909       ierr = PetscLogObjectMemory((PetscObject)B,(B->rmap->N+1)*sizeof(PetscInt)+nz*(bs2*sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
2910       ierr = PetscArrayzero(b->a,nz*bs2);CHKERRQ(ierr);
2911     }
2912     ierr = PetscArrayzero(b->j,nz);CHKERRQ(ierr);
2913 
2914     if (B->structure_only) {
2915       b->singlemalloc = PETSC_FALSE;
2916       b->free_a       = PETSC_FALSE;
2917     } else {
2918       b->singlemalloc = PETSC_TRUE;
2919       b->free_a       = PETSC_TRUE;
2920     }
2921     b->free_ij = PETSC_TRUE;
2922 
2923     b->i[0] = 0;
2924     for (i=1; i<mbs+1; i++) {
2925       b->i[i] = b->i[i-1] + b->imax[i-1];
2926     }
2927 
2928   } else {
2929     b->free_a  = PETSC_FALSE;
2930     b->free_ij = PETSC_FALSE;
2931   }
2932 
2933   b->bs2              = bs2;
2934   b->mbs              = mbs;
2935   b->nz               = 0;
2936   b->maxnz            = nz;
2937   B->info.nz_unneeded = (PetscReal)b->maxnz*bs2;
2938   B->was_assembled    = PETSC_FALSE;
2939   B->assembled        = PETSC_FALSE;
2940   if (realalloc) {ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);}
2941   PetscFunctionReturn(0);
2942 }
2943 
2944 PetscErrorCode MatSeqBAIJSetPreallocationCSR_SeqBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
2945 {
2946   PetscInt       i,m,nz,nz_max=0,*nnz;
2947   PetscScalar    *values=0;
2948   PetscBool      roworiented = ((Mat_SeqBAIJ*)B->data)->roworiented;
2949   PetscErrorCode ierr;
2950 
2951   PetscFunctionBegin;
2952   if (bs < 1) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Invalid block size specified, must be positive but it is %D",bs);
2953   ierr = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
2954   ierr = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
2955   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
2956   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
2957   ierr = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
2958   m    = B->rmap->n/bs;
2959 
2960   if (ii[0] != 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "ii[0] must be 0 but it is %D",ii[0]);
2961   ierr = PetscMalloc1(m+1, &nnz);CHKERRQ(ierr);
2962   for (i=0; i<m; i++) {
2963     nz = ii[i+1]- ii[i];
2964     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Local row %D has a negative number of columns %D",i,nz);
2965     nz_max = PetscMax(nz_max, nz);
2966     nnz[i] = nz;
2967   }
2968   ierr = MatSeqBAIJSetPreallocation(B,bs,0,nnz);CHKERRQ(ierr);
2969   ierr = PetscFree(nnz);CHKERRQ(ierr);
2970 
2971   values = (PetscScalar*)V;
2972   if (!values) {
2973     ierr = PetscCalloc1(bs*bs*(nz_max+1),&values);CHKERRQ(ierr);
2974   }
2975   for (i=0; i<m; i++) {
2976     PetscInt          ncols  = ii[i+1] - ii[i];
2977     const PetscInt    *icols = jj + ii[i];
2978     if (bs == 1 || !roworiented) {
2979       const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
2980       ierr = MatSetValuesBlocked_SeqBAIJ(B,1,&i,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
2981     } else {
2982       PetscInt j;
2983       for (j=0; j<ncols; j++) {
2984         const PetscScalar *svals = values + (V ? (bs*bs*(ii[i]+j)) : 0);
2985         ierr = MatSetValuesBlocked_SeqBAIJ(B,1,&i,1,&icols[j],svals,INSERT_VALUES);CHKERRQ(ierr);
2986       }
2987     }
2988   }
2989   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
2990   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2991   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2992   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
2993   PetscFunctionReturn(0);
2994 }
2995 
2996 /*@C
2997    MatSeqBAIJGetArray - gives access to the array where the data for a MATSEQBAIJ matrix is stored
2998 
2999    Not Collective
3000 
3001    Input Parameter:
3002 .  mat - a MATSEQBAIJ matrix
3003 
3004    Output Parameter:
3005 .   array - pointer to the data
3006 
3007    Level: intermediate
3008 
3009 .seealso: MatSeqBAIJRestoreArray(), MatSeqAIJGetArray(), MatSeqAIJRestoreArray()
3010 @*/
3011 PetscErrorCode MatSeqBAIJGetArray(Mat A,PetscScalar **array)
3012 {
3013   PetscErrorCode ierr;
3014 
3015   PetscFunctionBegin;
3016   ierr = PetscUseMethod(A,"MatSeqBAIJGetArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
3017   PetscFunctionReturn(0);
3018 }
3019 
3020 /*@C
3021    MatSeqBAIJRestoreArray - returns access to the array where the data for a MATSEQBAIJ matrix is stored obtained by MatSeqBAIJGetArray()
3022 
3023    Not Collective
3024 
3025    Input Parameters:
3026 +  mat - a MATSEQBAIJ matrix
3027 -  array - pointer to the data
3028 
3029    Level: intermediate
3030 
3031 .seealso: MatSeqBAIJGetArray(), MatSeqAIJGetArray(), MatSeqAIJRestoreArray()
3032 @*/
3033 PetscErrorCode MatSeqBAIJRestoreArray(Mat A,PetscScalar **array)
3034 {
3035   PetscErrorCode ierr;
3036 
3037   PetscFunctionBegin;
3038   ierr = PetscUseMethod(A,"MatSeqBAIJRestoreArray_C",(Mat,PetscScalar**),(A,array));CHKERRQ(ierr);
3039   PetscFunctionReturn(0);
3040 }
3041 
3042 /*MC
3043    MATSEQBAIJ - MATSEQBAIJ = "seqbaij" - A matrix type to be used for sequential block sparse matrices, based on
3044    block sparse compressed row format.
3045 
3046    Options Database Keys:
3047 . -mat_type seqbaij - sets the matrix type to "seqbaij" during a call to MatSetFromOptions()
3048 
3049    Level: beginner
3050 
3051    Notes:
3052     MatSetOptions(,MAT_STRUCTURE_ONLY,PETSC_TRUE) may be called for this matrix type. In this no
3053     space is allocated for the nonzero entries and any entries passed with MatSetValues() are ignored
3054 
3055 .seealso: MatCreateSeqBAIJ()
3056 M*/
3057 
3058 PETSC_INTERN PetscErrorCode MatConvert_SeqBAIJ_SeqBSTRM(Mat, MatType,MatReuse,Mat*);
3059 
3060 PETSC_EXTERN PetscErrorCode MatCreate_SeqBAIJ(Mat B)
3061 {
3062   PetscErrorCode ierr;
3063   PetscMPIInt    size;
3064   Mat_SeqBAIJ    *b;
3065 
3066   PetscFunctionBegin;
3067   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&size);CHKERRQ(ierr);
3068   if (size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Comm must be of size 1");
3069 
3070   ierr    = PetscNewLog(B,&b);CHKERRQ(ierr);
3071   B->data = (void*)b;
3072   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
3073 
3074   b->row          = 0;
3075   b->col          = 0;
3076   b->icol         = 0;
3077   b->reallocs     = 0;
3078   b->saved_values = 0;
3079 
3080   b->roworiented        = PETSC_TRUE;
3081   b->nonew              = 0;
3082   b->diag               = 0;
3083   B->spptr              = 0;
3084   B->info.nz_unneeded   = (PetscReal)b->maxnz*b->bs2;
3085   b->keepnonzeropattern = PETSC_FALSE;
3086 
3087   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqBAIJGetArray_C",MatSeqBAIJGetArray_SeqBAIJ);CHKERRQ(ierr);
3088   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqBAIJRestoreArray_C",MatSeqBAIJRestoreArray_SeqBAIJ);CHKERRQ(ierr);
3089   ierr = PetscObjectComposeFunction((PetscObject)B,"MatInvertBlockDiagonal_C",MatInvertBlockDiagonal_SeqBAIJ);CHKERRQ(ierr);
3090   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_SeqBAIJ);CHKERRQ(ierr);
3091   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_SeqBAIJ);CHKERRQ(ierr);
3092   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqBAIJSetColumnIndices_C",MatSeqBAIJSetColumnIndices_SeqBAIJ);CHKERRQ(ierr);
3093   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqbaij_seqaij_C",MatConvert_SeqBAIJ_SeqAIJ);CHKERRQ(ierr);
3094   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqbaij_seqsbaij_C",MatConvert_SeqBAIJ_SeqSBAIJ);CHKERRQ(ierr);
3095   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqBAIJSetPreallocation_C",MatSeqBAIJSetPreallocation_SeqBAIJ);CHKERRQ(ierr);
3096   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSeqBAIJSetPreallocationCSR_C",MatSeqBAIJSetPreallocationCSR_SeqBAIJ);CHKERRQ(ierr);
3097   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsTranspose_C",MatIsTranspose_SeqBAIJ);CHKERRQ(ierr);
3098 #if defined(PETSC_HAVE_HYPRE)
3099   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqbaij_hypre_C",MatConvert_AIJ_HYPRE);CHKERRQ(ierr);
3100 #endif
3101   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqbaij_is_C",MatConvert_XAIJ_IS);CHKERRQ(ierr);
3102   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQBAIJ);CHKERRQ(ierr);
3103   PetscFunctionReturn(0);
3104 }
3105 
3106 PetscErrorCode MatDuplicateNoCreate_SeqBAIJ(Mat C,Mat A,MatDuplicateOption cpvalues,PetscBool mallocmatspace)
3107 {
3108   Mat_SeqBAIJ    *c = (Mat_SeqBAIJ*)C->data,*a = (Mat_SeqBAIJ*)A->data;
3109   PetscErrorCode ierr;
3110   PetscInt       i,mbs = a->mbs,nz = a->nz,bs2 = a->bs2;
3111 
3112   PetscFunctionBegin;
3113   if (a->i[mbs] != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Corrupt matrix");
3114 
3115   if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
3116     c->imax           = a->imax;
3117     c->ilen           = a->ilen;
3118     c->free_imax_ilen = PETSC_FALSE;
3119   } else {
3120     ierr = PetscMalloc2(mbs,&c->imax,mbs,&c->ilen);CHKERRQ(ierr);
3121     ierr = PetscLogObjectMemory((PetscObject)C,2*mbs*sizeof(PetscInt));CHKERRQ(ierr);
3122     for (i=0; i<mbs; i++) {
3123       c->imax[i] = a->imax[i];
3124       c->ilen[i] = a->ilen[i];
3125     }
3126     c->free_imax_ilen = PETSC_TRUE;
3127   }
3128 
3129   /* allocate the matrix space */
3130   if (mallocmatspace) {
3131     if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
3132       ierr = PetscCalloc1(bs2*nz,&c->a);CHKERRQ(ierr);
3133       ierr = PetscLogObjectMemory((PetscObject)C,a->i[mbs]*bs2*sizeof(PetscScalar));CHKERRQ(ierr);
3134 
3135       c->i            = a->i;
3136       c->j            = a->j;
3137       c->singlemalloc = PETSC_FALSE;
3138       c->free_a       = PETSC_TRUE;
3139       c->free_ij      = PETSC_FALSE;
3140       c->parent       = A;
3141       C->preallocated = PETSC_TRUE;
3142       C->assembled    = PETSC_TRUE;
3143 
3144       ierr = PetscObjectReference((PetscObject)A);CHKERRQ(ierr);
3145       ierr = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3146       ierr = MatSetOption(C,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3147     } else {
3148       ierr = PetscMalloc3(bs2*nz,&c->a,nz,&c->j,mbs+1,&c->i);CHKERRQ(ierr);
3149       ierr = PetscLogObjectMemory((PetscObject)C,a->i[mbs]*(bs2*sizeof(PetscScalar)+sizeof(PetscInt))+(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
3150 
3151       c->singlemalloc = PETSC_TRUE;
3152       c->free_a       = PETSC_TRUE;
3153       c->free_ij      = PETSC_TRUE;
3154 
3155       ierr = PetscArraycpy(c->i,a->i,mbs+1);CHKERRQ(ierr);
3156       if (mbs > 0) {
3157         ierr = PetscArraycpy(c->j,a->j,nz);CHKERRQ(ierr);
3158         if (cpvalues == MAT_COPY_VALUES) {
3159           ierr = PetscArraycpy(c->a,a->a,bs2*nz);CHKERRQ(ierr);
3160         } else {
3161           ierr = PetscArrayzero(c->a,bs2*nz);CHKERRQ(ierr);
3162         }
3163       }
3164       C->preallocated = PETSC_TRUE;
3165       C->assembled    = PETSC_TRUE;
3166     }
3167   }
3168 
3169   c->roworiented = a->roworiented;
3170   c->nonew       = a->nonew;
3171 
3172   ierr = PetscLayoutReference(A->rmap,&C->rmap);CHKERRQ(ierr);
3173   ierr = PetscLayoutReference(A->cmap,&C->cmap);CHKERRQ(ierr);
3174 
3175   c->bs2         = a->bs2;
3176   c->mbs         = a->mbs;
3177   c->nbs         = a->nbs;
3178 
3179   if (a->diag) {
3180     if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
3181       c->diag      = a->diag;
3182       c->free_diag = PETSC_FALSE;
3183     } else {
3184       ierr = PetscMalloc1(mbs+1,&c->diag);CHKERRQ(ierr);
3185       ierr = PetscLogObjectMemory((PetscObject)C,(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
3186       for (i=0; i<mbs; i++) c->diag[i] = a->diag[i];
3187       c->free_diag = PETSC_TRUE;
3188     }
3189   } else c->diag = 0;
3190 
3191   c->nz         = a->nz;
3192   c->maxnz      = a->nz;         /* Since we allocate exactly the right amount */
3193   c->solve_work = NULL;
3194   c->mult_work  = NULL;
3195   c->sor_workt  = NULL;
3196   c->sor_work   = NULL;
3197 
3198   c->compressedrow.use   = a->compressedrow.use;
3199   c->compressedrow.nrows = a->compressedrow.nrows;
3200   if (a->compressedrow.use) {
3201     i    = a->compressedrow.nrows;
3202     ierr = PetscMalloc2(i+1,&c->compressedrow.i,i+1,&c->compressedrow.rindex);CHKERRQ(ierr);
3203     ierr = PetscLogObjectMemory((PetscObject)C,(2*i+1)*sizeof(PetscInt));CHKERRQ(ierr);
3204     ierr = PetscArraycpy(c->compressedrow.i,a->compressedrow.i,i+1);CHKERRQ(ierr);
3205     ierr = PetscArraycpy(c->compressedrow.rindex,a->compressedrow.rindex,i);CHKERRQ(ierr);
3206   } else {
3207     c->compressedrow.use    = PETSC_FALSE;
3208     c->compressedrow.i      = NULL;
3209     c->compressedrow.rindex = NULL;
3210   }
3211   C->nonzerostate = A->nonzerostate;
3212 
3213   ierr = PetscFunctionListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
3214   PetscFunctionReturn(0);
3215 }
3216 
3217 PetscErrorCode MatDuplicate_SeqBAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
3218 {
3219   PetscErrorCode ierr;
3220 
3221   PetscFunctionBegin;
3222   ierr = MatCreate(PetscObjectComm((PetscObject)A),B);CHKERRQ(ierr);
3223   ierr = MatSetSizes(*B,A->rmap->N,A->cmap->n,A->rmap->N,A->cmap->n);CHKERRQ(ierr);
3224   ierr = MatSetType(*B,MATSEQBAIJ);CHKERRQ(ierr);
3225   ierr = MatDuplicateNoCreate_SeqBAIJ(*B,A,cpvalues,PETSC_TRUE);CHKERRQ(ierr);
3226   PetscFunctionReturn(0);
3227 }
3228 
3229 /* Used for both SeqBAIJ and SeqSBAIJ matrices */
3230 PetscErrorCode MatLoad_SeqBAIJ_Binary(Mat mat,PetscViewer viewer)
3231 {
3232   PetscInt       header[4],M,N,nz,bs,m,n,mbs,nbs,rows,cols,sum,i,j,k;
3233   PetscInt       *rowidxs,*colidxs;
3234   PetscScalar    *matvals;
3235   PetscErrorCode ierr;
3236 
3237   PetscFunctionBegin;
3238   ierr = PetscViewerSetUp(viewer);CHKERRQ(ierr);
3239 
3240   /* read matrix header */
3241   ierr = PetscViewerBinaryRead(viewer,header,4,NULL,PETSC_INT);CHKERRQ(ierr);
3242   if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Not a matrix object in file");
3243   M = header[1]; N = header[2]; nz = header[3];
3244   if (M < 0) SETERRQ1(PetscObjectComm((PetscObject)viewer),PETSC_ERR_FILE_UNEXPECTED,"Matrix row size (%D) in file is negative",M);
3245   if (N < 0) SETERRQ1(PetscObjectComm((PetscObject)viewer),PETSC_ERR_FILE_UNEXPECTED,"Matrix column size (%D) in file is negative",N);
3246   if (nz < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk, cannot load as SeqBAIJ");
3247 
3248   /* set block sizes from the viewer's .info file */
3249   ierr = MatLoad_Binary_BlockSizes(mat,viewer);CHKERRQ(ierr);
3250   /* set local and global sizes if not set already */
3251   if (mat->rmap->n < 0) mat->rmap->n = M;
3252   if (mat->cmap->n < 0) mat->cmap->n = N;
3253   if (mat->rmap->N < 0) mat->rmap->N = M;
3254   if (mat->cmap->N < 0) mat->cmap->N = N;
3255   ierr = PetscLayoutSetUp(mat->rmap);CHKERRQ(ierr);
3256   ierr = PetscLayoutSetUp(mat->cmap);CHKERRQ(ierr);
3257 
3258   /* check if the matrix sizes are correct */
3259   ierr = MatGetSize(mat,&rows,&cols);CHKERRQ(ierr);
3260   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);
3261   ierr = MatGetBlockSize(mat,&bs);CHKERRQ(ierr);
3262   ierr = MatGetLocalSize(mat,&m,&n);CHKERRQ(ierr);
3263   mbs = m/bs; nbs = n/bs;
3264 
3265   /* read in row lengths, column indices and nonzero values */
3266   ierr = PetscMalloc1(m+1,&rowidxs);CHKERRQ(ierr);
3267   ierr = PetscViewerBinaryRead(viewer,rowidxs+1,m,NULL,PETSC_INT);CHKERRQ(ierr);
3268   rowidxs[0] = 0; for (i=0; i<m; i++) rowidxs[i+1] += rowidxs[i];
3269   sum = rowidxs[m];
3270   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);
3271 
3272   /* read in column indices and nonzero values */
3273   ierr = PetscMalloc2(rowidxs[m],&colidxs,nz,&matvals);CHKERRQ(ierr);
3274   ierr = PetscViewerBinaryRead(viewer,colidxs,rowidxs[m],NULL,PETSC_INT);CHKERRQ(ierr);
3275   ierr = PetscViewerBinaryRead(viewer,matvals,rowidxs[m],NULL,PETSC_SCALAR);CHKERRQ(ierr);
3276 
3277   { /* preallocate matrix storage */
3278     PetscBT   bt; /* helper bit set to count nonzeros */
3279     PetscInt  *nnz;
3280     PetscBool sbaij;
3281 
3282     ierr = PetscBTCreate(nbs,&bt);CHKERRQ(ierr);
3283     ierr = PetscCalloc1(mbs,&nnz);CHKERRQ(ierr);
3284     ierr = PetscObjectTypeCompare((PetscObject)mat,MATSEQSBAIJ,&sbaij);CHKERRQ(ierr);
3285     for (i=0; i<mbs; i++) {
3286       ierr = PetscBTMemzero(nbs,bt);CHKERRQ(ierr);
3287       for (k=0; k<bs; k++) {
3288         PetscInt row = bs*i + k;
3289         for (j=rowidxs[row]; j<rowidxs[row+1]; j++) {
3290           PetscInt col = colidxs[j];
3291           if (!sbaij || col >= row)
3292             if (!PetscBTLookupSet(bt,col/bs)) nnz[i]++;
3293         }
3294       }
3295     }
3296     ierr = PetscBTDestroy(&bt);CHKERRQ(ierr);
3297     ierr = MatSeqBAIJSetPreallocation(mat,bs,0,nnz);CHKERRQ(ierr);
3298     ierr = MatSeqSBAIJSetPreallocation(mat,bs,0,nnz);CHKERRQ(ierr);
3299     ierr = PetscFree(nnz);CHKERRQ(ierr);
3300   }
3301 
3302   /* store matrix values */
3303   for (i=0; i<m; i++) {
3304     PetscInt row = i, s = rowidxs[i], e = rowidxs[i+1];
3305     ierr = (*mat->ops->setvalues)(mat,1,&row,e-s,colidxs+s,matvals+s,INSERT_VALUES);CHKERRQ(ierr);
3306   }
3307 
3308   ierr = PetscFree(rowidxs);CHKERRQ(ierr);
3309   ierr = PetscFree2(colidxs,matvals);CHKERRQ(ierr);
3310   ierr = MatAssemblyBegin(mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3311   ierr = MatAssemblyEnd(mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3312   PetscFunctionReturn(0);
3313 }
3314 
3315 PetscErrorCode MatLoad_SeqBAIJ(Mat mat,PetscViewer viewer)
3316 {
3317   PetscErrorCode ierr;
3318   PetscBool      isbinary;
3319 
3320   PetscFunctionBegin;
3321   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
3322   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);
3323   ierr = MatLoad_SeqBAIJ_Binary(mat,viewer);CHKERRQ(ierr);
3324   PetscFunctionReturn(0);
3325 }
3326 
3327 /*@C
3328    MatCreateSeqBAIJ - Creates a sparse matrix in block AIJ (block
3329    compressed row) format.  For good matrix assembly performance the
3330    user should preallocate the matrix storage by setting the parameter nz
3331    (or the array nnz).  By setting these parameters accurately, performance
3332    during matrix assembly can be increased by more than a factor of 50.
3333 
3334    Collective
3335 
3336    Input Parameters:
3337 +  comm - MPI communicator, set to PETSC_COMM_SELF
3338 .  bs - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
3339           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
3340 .  m - number of rows
3341 .  n - number of columns
3342 .  nz - number of nonzero blocks  per block row (same for all rows)
3343 -  nnz - array containing the number of nonzero blocks in the various block rows
3344          (possibly different for each block row) or NULL
3345 
3346    Output Parameter:
3347 .  A - the matrix
3348 
3349    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3350    MatXXXXSetPreallocation() paradigm instead of this routine directly.
3351    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3352 
3353    Options Database Keys:
3354 +   -mat_no_unroll - uses code that does not unroll the loops in the
3355                      block calculations (much slower)
3356 -    -mat_block_size - size of the blocks to use
3357 
3358    Level: intermediate
3359 
3360    Notes:
3361    The number of rows and columns must be divisible by blocksize.
3362 
3363    If the nnz parameter is given then the nz parameter is ignored
3364 
3365    A nonzero block is any block that as 1 or more nonzeros in it
3366 
3367    The block AIJ format is fully compatible with standard Fortran 77
3368    storage.  That is, the stored row and column indices can begin at
3369    either one (as in Fortran) or zero.  See the users' manual for details.
3370 
3371    Specify the preallocated storage with either nz or nnz (not both).
3372    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3373    allocation.  See Users-Manual: ch_mat for details.
3374    matrices.
3375 
3376 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateBAIJ()
3377 @*/
3378 PetscErrorCode  MatCreateSeqBAIJ(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
3379 {
3380   PetscErrorCode ierr;
3381 
3382   PetscFunctionBegin;
3383   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3384   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
3385   ierr = MatSetType(*A,MATSEQBAIJ);CHKERRQ(ierr);
3386   ierr = MatSeqBAIJSetPreallocation(*A,bs,nz,(PetscInt*)nnz);CHKERRQ(ierr);
3387   PetscFunctionReturn(0);
3388 }
3389 
3390 /*@C
3391    MatSeqBAIJSetPreallocation - Sets the block size and expected nonzeros
3392    per row in the matrix. For good matrix assembly performance the
3393    user should preallocate the matrix storage by setting the parameter nz
3394    (or the array nnz).  By setting these parameters accurately, performance
3395    during matrix assembly can be increased by more than a factor of 50.
3396 
3397    Collective
3398 
3399    Input Parameters:
3400 +  B - the matrix
3401 .  bs - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
3402           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
3403 .  nz - number of block nonzeros per block row (same for all rows)
3404 -  nnz - array containing the number of block nonzeros in the various block rows
3405          (possibly different for each block row) or NULL
3406 
3407    Options Database Keys:
3408 +   -mat_no_unroll - uses code that does not unroll the loops in the
3409                      block calculations (much slower)
3410 -   -mat_block_size - size of the blocks to use
3411 
3412    Level: intermediate
3413 
3414    Notes:
3415    If the nnz parameter is given then the nz parameter is ignored
3416 
3417    You can call MatGetInfo() to get information on how effective the preallocation was;
3418    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3419    You can also run with the option -info and look for messages with the string
3420    malloc in them to see if additional memory allocation was needed.
3421 
3422    The block AIJ format is fully compatible with standard Fortran 77
3423    storage.  That is, the stored row and column indices can begin at
3424    either one (as in Fortran) or zero.  See the users' manual for details.
3425 
3426    Specify the preallocated storage with either nz or nnz (not both).
3427    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3428    allocation.  See Users-Manual: ch_mat for details.
3429 
3430 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateBAIJ(), MatGetInfo()
3431 @*/
3432 PetscErrorCode  MatSeqBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt nz,const PetscInt nnz[])
3433 {
3434   PetscErrorCode ierr;
3435 
3436   PetscFunctionBegin;
3437   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3438   PetscValidType(B,1);
3439   PetscValidLogicalCollectiveInt(B,bs,2);
3440   ierr = PetscTryMethod(B,"MatSeqBAIJSetPreallocation_C",(Mat,PetscInt,PetscInt,const PetscInt[]),(B,bs,nz,nnz));CHKERRQ(ierr);
3441   PetscFunctionReturn(0);
3442 }
3443 
3444 /*@C
3445    MatSeqBAIJSetPreallocationCSR - Creates a sparse parallel matrix in BAIJ format using the given nonzero structure and (optional) numerical values
3446 
3447    Collective
3448 
3449    Input Parameters:
3450 +  B - the matrix
3451 .  i - the indices into j for the start of each local row (starts with zero)
3452 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
3453 -  v - optional values in the matrix
3454 
3455    Level: advanced
3456 
3457    Notes:
3458    The order of the entries in values is specified by the MatOption MAT_ROW_ORIENTED.  For example, C programs
3459    may want to use the default MAT_ROW_ORIENTED=PETSC_TRUE and use an array v[nnz][bs][bs] where the second index is
3460    over rows within a block and the last index is over columns within a block row.  Fortran programs will likely set
3461    MAT_ROW_ORIENTED=PETSC_FALSE and use a Fortran array v(bs,bs,nnz) in which the first index is over rows within a
3462    block column and the second index is over columns within a block.
3463 
3464    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
3465 
3466 .seealso: MatCreate(), MatCreateSeqBAIJ(), MatSetValues(), MatSeqBAIJSetPreallocation(), MATSEQBAIJ
3467 @*/
3468 PetscErrorCode  MatSeqBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
3469 {
3470   PetscErrorCode ierr;
3471 
3472   PetscFunctionBegin;
3473   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3474   PetscValidType(B,1);
3475   PetscValidLogicalCollectiveInt(B,bs,2);
3476   ierr = PetscTryMethod(B,"MatSeqBAIJSetPreallocationCSR_C",(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,bs,i,j,v));CHKERRQ(ierr);
3477   PetscFunctionReturn(0);
3478 }
3479 
3480 
3481 /*@
3482      MatCreateSeqBAIJWithArrays - Creates an sequential BAIJ matrix using matrix elements provided by the user.
3483 
3484      Collective
3485 
3486    Input Parameters:
3487 +  comm - must be an MPI communicator of size 1
3488 .  bs - size of block
3489 .  m - number of rows
3490 .  n - number of columns
3491 .  i - row indices; that is i[0] = 0, i[row] = i[row-1] + number of elements in that row block row of the matrix
3492 .  j - column indices
3493 -  a - matrix values
3494 
3495    Output Parameter:
3496 .  mat - the matrix
3497 
3498    Level: advanced
3499 
3500    Notes:
3501        The i, j, and a arrays are not copied by this routine, the user must free these arrays
3502     once the matrix is destroyed
3503 
3504        You cannot set new nonzero locations into this matrix, that will generate an error.
3505 
3506        The i and j indices are 0 based
3507 
3508        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).
3509 
3510       The order of the entries in values is the same as the block compressed sparse row storage format; that is, it is
3511       the same as a three dimensional array in Fortran values(bs,bs,nnz) that contains the first column of the first
3512       block, followed by the second column of the first block etc etc.  That is, the blocks are contiguous in memory
3513       with column-major ordering within blocks.
3514 
3515 .seealso: MatCreate(), MatCreateBAIJ(), MatCreateSeqBAIJ()
3516 
3517 @*/
3518 PetscErrorCode  MatCreateSeqBAIJWithArrays(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt i[],PetscInt j[],PetscScalar a[],Mat *mat)
3519 {
3520   PetscErrorCode ierr;
3521   PetscInt       ii;
3522   Mat_SeqBAIJ    *baij;
3523 
3524   PetscFunctionBegin;
3525   if (bs != 1) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"block size %D > 1 is not supported yet",bs);
3526   if (m > 0 && i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
3527 
3528   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
3529   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
3530   ierr = MatSetType(*mat,MATSEQBAIJ);CHKERRQ(ierr);
3531   ierr = MatSeqBAIJSetPreallocation(*mat,bs,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
3532   baij = (Mat_SeqBAIJ*)(*mat)->data;
3533   ierr = PetscMalloc2(m,&baij->imax,m,&baij->ilen);CHKERRQ(ierr);
3534   ierr = PetscLogObjectMemory((PetscObject)*mat,2*m*sizeof(PetscInt));CHKERRQ(ierr);
3535 
3536   baij->i = i;
3537   baij->j = j;
3538   baij->a = a;
3539 
3540   baij->singlemalloc = PETSC_FALSE;
3541   baij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
3542   baij->free_a       = PETSC_FALSE;
3543   baij->free_ij      = PETSC_FALSE;
3544 
3545   for (ii=0; ii<m; ii++) {
3546     baij->ilen[ii] = baij->imax[ii] = i[ii+1] - i[ii];
3547 #if defined(PETSC_USE_DEBUG)
3548     if (i[ii+1] - i[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row length in i (row indices) row = %d length = %d",ii,i[ii+1] - i[ii]);
3549 #endif
3550   }
3551 #if defined(PETSC_USE_DEBUG)
3552   for (ii=0; ii<baij->i[m]; ii++) {
3553     if (j[ii] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %d index = %d",ii,j[ii]);
3554     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]);
3555   }
3556 #endif
3557 
3558   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3559   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3560   PetscFunctionReturn(0);
3561 }
3562 
3563 PetscErrorCode MatCreateMPIMatConcatenateSeqMat_SeqBAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
3564 {
3565   PetscErrorCode ierr;
3566   PetscMPIInt    size;
3567 
3568   PetscFunctionBegin;
3569   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3570   if (size == 1 && scall == MAT_REUSE_MATRIX) {
3571     ierr = MatCopy(inmat,*outmat,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
3572   } else {
3573     ierr = MatCreateMPIMatConcatenateSeqMat_MPIBAIJ(comm,inmat,n,scall,outmat);CHKERRQ(ierr);
3574   }
3575   PetscFunctionReturn(0);
3576 }
3577