xref: /petsc/src/mat/impls/baij/seq/baij.c (revision b06ca6b09b3ae4e8a93ed49db16f4412dd6db9d8)
1 #define PETSCMAT_DLL
2 
3 /*
4     Defines the basic matrix operations for the BAIJ (compressed row)
5   matrix storage format.
6 */
7 #include "../src/mat/impls/baij/seq/baij.h"
8 #include "petscsys.h"                     /*I "petscmat.h" I*/
9 
10 #include "../src/mat/blockinvert.h"
11 
12 #undef __FUNCT__
13 #define __FUNCT__ "MatSeqBAIJInvertBlockDiagonal"
14 /*@
15   MatSeqBAIJInvertBlockDiagonal - Inverts the block diagonal entries.
16 
17   Collective on Mat
18 
19   Input Parameters:
20 . mat - the matrix
21 
22   Level: advanced
23 @*/
24 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJInvertBlockDiagonal(Mat mat)
25 {
26   PetscErrorCode ierr,(*f)(Mat);
27 
28   PetscFunctionBegin;
29   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
30   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
31   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
32 
33   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatSeqBAIJInvertBlockDiagonal_C",(void (**)(void))&f);CHKERRQ(ierr);
34   if (f) {
35     ierr = (*f)(mat);CHKERRQ(ierr);
36   } else {
37     SETERRQ(PETSC_ERR_SUP,"Currently only implemented for SeqBAIJ.");
38   }
39   PetscFunctionReturn(0);
40 }
41 
42 EXTERN_C_BEGIN
43 #undef __FUNCT__
44 #define __FUNCT__ "MatInvertBlockDiagonal_SeqBAIJ"
45 PetscErrorCode PETSCMAT_DLLEXPORT MatInvertBlockDiagonal_SeqBAIJ(Mat A)
46 {
47   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*) A->data;
48   PetscErrorCode ierr;
49   PetscInt       *diag_offset,i,bs = A->rmap->bs,mbs = a->mbs;
50   MatScalar      *v = a->a,*odiag,*diag,*mdiag;
51   PetscReal      shift = 0.0;
52 
53   PetscFunctionBegin;
54   if (a->idiagvalid) PetscFunctionReturn(0);
55   ierr = MatMarkDiagonal_SeqBAIJ(A);CHKERRQ(ierr);
56   diag_offset = a->diag;
57   if (!a->idiag) {
58     ierr = PetscMalloc(2*bs*bs*mbs*sizeof(PetscScalar),&a->idiag);CHKERRQ(ierr);
59     ierr = PetscLogObjectMemory(A,2*bs*bs*mbs*sizeof(PetscScalar));CHKERRQ(ierr);
60   }
61   diag  = a->idiag;
62   mdiag = a->idiag+bs*bs*mbs;
63   /* factor and invert each block */
64   switch (bs){
65     case 1:
66       for (i=0; i<mbs; i++) {
67         odiag = v + 1*diag_offset[i];
68         diag[0]  = odiag[0];
69         mdiag[0] = odiag[0];
70         diag[0]  = 1.0 / (diag[0] + shift);
71         diag    += 1;
72         mdiag   += 1;
73       }
74       break;
75     case 2:
76       for (i=0; i<mbs; i++) {
77         odiag   = v + 4*diag_offset[i];
78         diag[0]  = odiag[0]; diag[1] = odiag[1]; diag[2] = odiag[2]; diag[3] = odiag[3];
79 	mdiag[0] = odiag[0]; mdiag[1] = odiag[1]; mdiag[2] = odiag[2]; mdiag[3] = odiag[3];
80 	ierr     = Kernel_A_gets_inverse_A_2(diag,shift);CHKERRQ(ierr);
81 	diag    += 4;
82 	mdiag   += 4;
83       }
84       break;
85     case 3:
86       for (i=0; i<mbs; i++) {
87         odiag    = v + 9*diag_offset[i];
88         diag[0]  = odiag[0]; diag[1] = odiag[1]; diag[2] = odiag[2]; diag[3] = odiag[3];
89         diag[4]  = odiag[4]; diag[5] = odiag[5]; diag[6] = odiag[6]; diag[7] = odiag[7];
90         diag[8]  = odiag[8];
91         mdiag[0] = odiag[0]; mdiag[1] = odiag[1]; mdiag[2] = odiag[2]; mdiag[3] = odiag[3];
92         mdiag[4] = odiag[4]; mdiag[5] = odiag[5]; mdiag[6] = odiag[6]; mdiag[7] = odiag[7];
93         mdiag[8] = odiag[8];
94 	ierr     = Kernel_A_gets_inverse_A_3(diag,shift);CHKERRQ(ierr);
95 	diag    += 9;
96 	mdiag   += 9;
97       }
98       break;
99     case 4:
100       for (i=0; i<mbs; i++) {
101         odiag  = v + 16*diag_offset[i];
102         ierr   = PetscMemcpy(diag,odiag,16*sizeof(PetscScalar));CHKERRQ(ierr);
103         ierr   = PetscMemcpy(mdiag,odiag,16*sizeof(PetscScalar));CHKERRQ(ierr);
104 	ierr   = Kernel_A_gets_inverse_A_4(diag,shift);CHKERRQ(ierr);
105 	diag  += 16;
106 	mdiag += 16;
107       }
108       break;
109     case 5:
110       for (i=0; i<mbs; i++) {
111         odiag = v + 25*diag_offset[i];
112         ierr   = PetscMemcpy(diag,odiag,25*sizeof(PetscScalar));CHKERRQ(ierr);
113         ierr   = PetscMemcpy(mdiag,odiag,25*sizeof(PetscScalar));CHKERRQ(ierr);
114 	ierr   = Kernel_A_gets_inverse_A_5(diag,shift);CHKERRQ(ierr);
115 	diag  += 25;
116 	mdiag += 25;
117       }
118       break;
119     case 6:
120       for (i=0; i<mbs; i++) {
121         odiag = v + 36*diag_offset[i];
122         ierr   = PetscMemcpy(diag,odiag,36*sizeof(PetscScalar));CHKERRQ(ierr);
123         ierr   = PetscMemcpy(mdiag,odiag,36*sizeof(PetscScalar));CHKERRQ(ierr);
124 	ierr   = Kernel_A_gets_inverse_A_6(diag,shift);CHKERRQ(ierr);
125 	diag  += 36;
126 	mdiag += 36;
127       }
128       break;
129     default:
130       SETERRQ1(PETSC_ERR_SUP,"not supported for block size %D",bs);
131   }
132   a->idiagvalid = PETSC_TRUE;
133   PetscFunctionReturn(0);
134 }
135 EXTERN_C_END
136 
137 #undef __FUNCT__
138 #define __FUNCT__ "MatPBRelax_SeqBAIJ_1"
139 PetscErrorCode MatPBRelax_SeqBAIJ_1(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
140 {
141   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
142   PetscScalar        *x,x1,s1;
143   const PetscScalar  *b;
144   const MatScalar    *aa = a->a, *idiag,*mdiag,*v;
145   PetscErrorCode     ierr;
146   PetscInt           m = a->mbs,i,i2,nz,j;
147   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
148 
149   PetscFunctionBegin;
150   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
151   its = its*lits;
152   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
153   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
154   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
155   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
156   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
157 
158   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
159 
160   diag  = a->diag;
161   idiag = a->idiag;
162   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
163   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
164 
165   if (flag & SOR_ZERO_INITIAL_GUESS) {
166     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
167       x[0] = b[0]*idiag[0];
168       i2     = 1;
169       idiag += 1;
170       for (i=1; i<m; i++) {
171         v     = aa + ai[i];
172         vi    = aj + ai[i];
173         nz    = diag[i] - ai[i];
174         s1    = b[i2];
175         for (j=0; j<nz; j++) {
176           s1 -= v[j]*x[vi[j]];
177         }
178         x[i2]   = idiag[0]*s1;
179         idiag   += 1;
180         i2      += 1;
181       }
182       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
183       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
184     }
185     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
186         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
187       i2    = 0;
188       mdiag = a->idiag+a->mbs;
189       for (i=0; i<m; i++) {
190         x1      = x[i2];
191         x[i2]   = mdiag[0]*x1;
192         mdiag  += 1;
193         i2     += 1;
194       }
195       ierr = PetscLogFlops(m);CHKERRQ(ierr);
196     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
197       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
198     }
199     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
200       idiag   = a->idiag+a->mbs - 1;
201       i2      = m - 1;
202       x1      = x[i2];
203       x[i2]   = idiag[0]*x1;
204       idiag -= 1;
205       i2    -= 1;
206       for (i=m-2; i>=0; i--) {
207         v     = aa + (diag[i]+1);
208         vi    = aj + diag[i] + 1;
209         nz    = ai[i+1] - diag[i] - 1;
210         s1    = x[i2];
211         for (j=0; j<nz; j++) {
212           s1 -= v[j]*x[vi[j]];
213         }
214         x[i2]   = idiag[0]*s1;
215         idiag   -= 1;
216         i2      -= 1;
217       }
218       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
219     }
220   } else {
221     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
222   }
223   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
224   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
225   PetscFunctionReturn(0);
226 }
227 
228 #undef __FUNCT__
229 #define __FUNCT__ "MatPBRelax_SeqBAIJ_2"
230 PetscErrorCode MatPBRelax_SeqBAIJ_2(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
231 {
232   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
233   PetscScalar        *x,x1,x2,s1,s2;
234   const PetscScalar  *b;
235   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
236   PetscErrorCode     ierr;
237   PetscInt           m = a->mbs,i,i2,nz,idx,j,it;
238   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
239 
240   PetscFunctionBegin;
241   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
242   its = its*lits;
243   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
244   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
245   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
246   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
247   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
248 
249   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
250 
251   diag  = a->diag;
252   idiag = a->idiag;
253   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
254   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
255 
256   if (flag & SOR_ZERO_INITIAL_GUESS) {
257     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
258       x[0] = b[0]*idiag[0] + b[1]*idiag[2];
259       x[1] = b[0]*idiag[1] + b[1]*idiag[3];
260       i2     = 2;
261       idiag += 4;
262       for (i=1; i<m; i++) {
263 	v     = aa + 4*ai[i];
264 	vi    = aj + ai[i];
265 	nz    = diag[i] - ai[i];
266 	s1    = b[i2]; s2 = b[i2+1];
267         for (j=0; j<nz; j++) {
268 	  idx  = 2*vi[j];
269           it   = 4*j;
270 	  x1   = x[idx]; x2 = x[1+idx];
271 	  s1  -= v[it]*x1 + v[it+2]*x2;
272 	  s2  -= v[it+1]*x1 + v[it+3]*x2;
273 	}
274 	x[i2]   = idiag[0]*s1 + idiag[2]*s2;
275 	x[i2+1] = idiag[1]*s1 + idiag[3]*s2;
276         idiag   += 4;
277         i2      += 2;
278       }
279       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
280       ierr = PetscLogFlops(4.0*(a->nz));CHKERRQ(ierr);
281     }
282     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
283         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
284       i2    = 0;
285       mdiag = a->idiag+4*a->mbs;
286       for (i=0; i<m; i++) {
287         x1      = x[i2]; x2 = x[i2+1];
288         x[i2]   = mdiag[0]*x1 + mdiag[2]*x2;
289         x[i2+1] = mdiag[1]*x1 + mdiag[3]*x2;
290         mdiag  += 4;
291         i2     += 2;
292       }
293       ierr = PetscLogFlops(6.0*m);CHKERRQ(ierr);
294     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
295       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
296     }
297     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
298       idiag   = a->idiag+4*a->mbs - 4;
299       i2      = 2*m - 2;
300       x1      = x[i2]; x2 = x[i2+1];
301       x[i2]   = idiag[0]*x1 + idiag[2]*x2;
302       x[i2+1] = idiag[1]*x1 + idiag[3]*x2;
303       idiag -= 4;
304       i2    -= 2;
305       for (i=m-2; i>=0; i--) {
306 	v     = aa + 4*(diag[i]+1);
307 	vi    = aj + diag[i] + 1;
308 	nz    = ai[i+1] - diag[i] - 1;
309 	s1    = x[i2]; s2 = x[i2+1];
310         for (j=0; j<nz; j++) {
311  	  idx  = 2*vi[j];
312           it   = 4*j;
313 	  x1   = x[idx]; x2 = x[1+idx];
314 	  s1  -= v[it]*x1 + v[it+2]*x2;
315 	  s2  -= v[it+1]*x1 + v[it+3]*x2;
316 	}
317 	x[i2]   = idiag[0]*s1 + idiag[2]*s2;
318 	x[i2+1] = idiag[1]*s1 + idiag[3]*s2;
319         idiag   -= 4;
320         i2      -= 2;
321       }
322       ierr = PetscLogFlops(4.0*(a->nz));CHKERRQ(ierr);
323     }
324   } else {
325     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
326   }
327   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
328   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
329   PetscFunctionReturn(0);
330 }
331 
332 #undef __FUNCT__
333 #define __FUNCT__ "MatPBRelax_SeqBAIJ_3"
334 PetscErrorCode MatPBRelax_SeqBAIJ_3(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
335 {
336   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
337   PetscScalar        *x,x1,x2,x3,s1,s2,s3;
338   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
339   const PetscScalar  *b;
340   PetscErrorCode     ierr;
341   PetscInt           m = a->mbs,i,i2,nz,idx;
342   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
343 
344   PetscFunctionBegin;
345   its = its*lits;
346   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
347   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
348   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
349   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
350   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
351   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
352 
353   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
354 
355   diag  = a->diag;
356   idiag = a->idiag;
357   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
358   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
359 
360   if (flag & SOR_ZERO_INITIAL_GUESS) {
361     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
362       x[0] = b[0]*idiag[0] + b[1]*idiag[3] + b[2]*idiag[6];
363       x[1] = b[0]*idiag[1] + b[1]*idiag[4] + b[2]*idiag[7];
364       x[2] = b[0]*idiag[2] + b[1]*idiag[5] + b[2]*idiag[8];
365       i2     = 3;
366       idiag += 9;
367       for (i=1; i<m; i++) {
368         v     = aa + 9*ai[i];
369         vi    = aj + ai[i];
370         nz    = diag[i] - ai[i];
371         s1    = b[i2]; s2 = b[i2+1]; s3 = b[i2+2];
372         while (nz--) {
373           idx  = 3*(*vi++);
374           x1   = x[idx]; x2 = x[1+idx];x3 = x[2+idx];
375           s1  -= v[0]*x1 + v[3]*x2 + v[6]*x3;
376           s2  -= v[1]*x1 + v[4]*x2 + v[7]*x3;
377           s3  -= v[2]*x1 + v[5]*x2 + v[8]*x3;
378           v   += 9;
379         }
380         x[i2]   = idiag[0]*s1 + idiag[3]*s2 + idiag[6]*s3;
381         x[i2+1] = idiag[1]*s1 + idiag[4]*s2 + idiag[7]*s3;
382         x[i2+2] = idiag[2]*s1 + idiag[5]*s2 + idiag[8]*s3;
383         idiag   += 9;
384         i2      += 3;
385       }
386       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
387       ierr = PetscLogFlops(9.0*(a->nz));CHKERRQ(ierr);
388     }
389     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
390         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
391       i2    = 0;
392       mdiag = a->idiag+9*a->mbs;
393       for (i=0; i<m; i++) {
394         x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2];
395         x[i2]   = mdiag[0]*x1 + mdiag[3]*x2 + mdiag[6]*x3;
396         x[i2+1] = mdiag[1]*x1 + mdiag[4]*x2 + mdiag[7]*x3;
397         x[i2+2] = mdiag[2]*x1 + mdiag[5]*x2 + mdiag[8]*x3;
398         mdiag  += 9;
399         i2     += 3;
400       }
401       ierr = PetscLogFlops(15.0*m);CHKERRQ(ierr);
402     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
403       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
404     }
405     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
406       idiag   = a->idiag+9*a->mbs - 9;
407       i2      = 3*m - 3;
408       x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2];
409       x[i2]   = idiag[0]*x1 + idiag[3]*x2 + idiag[6]*x3;
410       x[i2+1] = idiag[1]*x1 + idiag[4]*x2 + idiag[7]*x3;
411       x[i2+2] = idiag[2]*x1 + idiag[5]*x2 + idiag[8]*x3;
412       idiag -= 9;
413       i2    -= 3;
414       for (i=m-2; i>=0; i--) {
415         v     = aa + 9*(diag[i]+1);
416         vi    = aj + diag[i] + 1;
417         nz    = ai[i+1] - diag[i] - 1;
418         s1    = x[i2]; s2 = x[i2+1]; s3 = x[i2+2];
419         while (nz--) {
420           idx  = 3*(*vi++);
421           x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx];
422           s1  -= v[0]*x1 + v[3]*x2 + v[6]*x3;
423           s2  -= v[1]*x1 + v[4]*x2 + v[7]*x3;
424           s3  -= v[2]*x1 + v[5]*x2 + v[8]*x3;
425           v   += 9;
426         }
427         x[i2]   = idiag[0]*s1 + idiag[3]*s2 + idiag[6]*s3;
428         x[i2+1] = idiag[1]*s1 + idiag[4]*s2 + idiag[7]*s3;
429         x[i2+2] = idiag[2]*s1 + idiag[5]*s2 + idiag[8]*s3;
430         idiag   -= 9;
431         i2      -= 3;
432       }
433       ierr = PetscLogFlops(9.0*(a->nz));CHKERRQ(ierr);
434     }
435   } else {
436     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
437   }
438   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
439   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
440   PetscFunctionReturn(0);
441 }
442 
443 #undef __FUNCT__
444 #define __FUNCT__ "MatPBRelax_SeqBAIJ_4"
445 PetscErrorCode MatPBRelax_SeqBAIJ_4(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
446 {
447   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
448   PetscScalar        *x,x1,x2,x3,x4,s1,s2,s3,s4;
449   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
450   const PetscScalar  *b;
451   PetscErrorCode     ierr;
452   PetscInt           m = a->mbs,i,i2,nz,idx;
453   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
454 
455   PetscFunctionBegin;
456   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
457   its = its*lits;
458   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
459   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
460   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
461   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
462   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
463 
464   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
465 
466   diag  = a->diag;
467   idiag = a->idiag;
468   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
469   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
470 
471   if (flag & SOR_ZERO_INITIAL_GUESS) {
472     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
473       x[0] = b[0]*idiag[0] + b[1]*idiag[4] + b[2]*idiag[8]  + b[3]*idiag[12];
474       x[1] = b[0]*idiag[1] + b[1]*idiag[5] + b[2]*idiag[9]  + b[3]*idiag[13];
475       x[2] = b[0]*idiag[2] + b[1]*idiag[6] + b[2]*idiag[10] + b[3]*idiag[14];
476       x[3] = b[0]*idiag[3] + b[1]*idiag[7] + b[2]*idiag[11] + b[3]*idiag[15];
477       i2     = 4;
478       idiag += 16;
479       for (i=1; i<m; i++) {
480 	v     = aa + 16*ai[i];
481 	vi    = aj + ai[i];
482 	nz    = diag[i] - ai[i];
483 	s1    = b[i2]; s2 = b[i2+1]; s3 = b[i2+2]; s4 = b[i2+3];
484 	while (nz--) {
485 	  idx  = 4*(*vi++);
486 	  x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx];
487 	  s1  -= v[0]*x1 + v[4]*x2 + v[8]*x3  + v[12]*x4;
488 	  s2  -= v[1]*x1 + v[5]*x2 + v[9]*x3  + v[13]*x4;
489 	  s3  -= v[2]*x1 + v[6]*x2 + v[10]*x3 + v[14]*x4;
490 	  s4  -= v[3]*x1 + v[7]*x2 + v[11]*x3 + v[15]*x4;
491 	  v   += 16;
492 	}
493 	x[i2]   = idiag[0]*s1 + idiag[4]*s2 + idiag[8]*s3  + idiag[12]*s4;
494 	x[i2+1] = idiag[1]*s1 + idiag[5]*s2 + idiag[9]*s3  + idiag[13]*s4;
495 	x[i2+2] = idiag[2]*s1 + idiag[6]*s2 + idiag[10]*s3 + idiag[14]*s4;
496 	x[i2+3] = idiag[3]*s1 + idiag[7]*s2 + idiag[11]*s3 + idiag[15]*s4;
497         idiag   += 16;
498         i2      += 4;
499       }
500       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
501       ierr = PetscLogFlops(16.0*(a->nz));CHKERRQ(ierr);
502     }
503     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
504         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
505       i2    = 0;
506       mdiag = a->idiag+16*a->mbs;
507       for (i=0; i<m; i++) {
508         x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3];
509         x[i2]   = mdiag[0]*x1 + mdiag[4]*x2 + mdiag[8]*x3  + mdiag[12]*x4;
510         x[i2+1] = mdiag[1]*x1 + mdiag[5]*x2 + mdiag[9]*x3  + mdiag[13]*x4;
511         x[i2+2] = mdiag[2]*x1 + mdiag[6]*x2 + mdiag[10]*x3 + mdiag[14]*x4;
512         x[i2+3] = mdiag[3]*x1 + mdiag[7]*x2 + mdiag[11]*x3 + mdiag[15]*x4;
513         mdiag  += 16;
514         i2     += 4;
515       }
516       ierr = PetscLogFlops(28.0*m);CHKERRQ(ierr);
517     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
518       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
519     }
520     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
521       idiag   = a->idiag+16*a->mbs - 16;
522       i2      = 4*m - 4;
523       x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3];
524       x[i2]   = idiag[0]*x1 + idiag[4]*x2 + idiag[8]*x3  + idiag[12]*x4;
525       x[i2+1] = idiag[1]*x1 + idiag[5]*x2 + idiag[9]*x3  + idiag[13]*x4;
526       x[i2+2] = idiag[2]*x1 + idiag[6]*x2 + idiag[10]*x3 + idiag[14]*x4;
527       x[i2+3] = idiag[3]*x1 + idiag[7]*x2 + idiag[11]*x3 + idiag[15]*x4;
528       idiag -= 16;
529       i2    -= 4;
530       for (i=m-2; i>=0; i--) {
531 	v     = aa + 16*(diag[i]+1);
532 	vi    = aj + diag[i] + 1;
533 	nz    = ai[i+1] - diag[i] - 1;
534 	s1    = x[i2]; s2 = x[i2+1]; s3 = x[i2+2]; s4 = x[i2+3];
535 	while (nz--) {
536 	  idx  = 4*(*vi++);
537 	  x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx];
538 	  s1  -= v[0]*x1 + v[4]*x2 + v[8]*x3  + v[12]*x4;
539 	  s2  -= v[1]*x1 + v[5]*x2 + v[9]*x3  + v[13]*x4;
540 	  s3  -= v[2]*x1 + v[6]*x2 + v[10]*x3 + v[14]*x4;
541 	  s4  -= v[3]*x1 + v[7]*x2 + v[11]*x3 + v[15]*x4;
542 	  v   += 16;
543 	}
544 	x[i2]   = idiag[0]*s1 + idiag[4]*s2 + idiag[8]*s3  + idiag[12]*s4;
545 	x[i2+1] = idiag[1]*s1 + idiag[5]*s2 + idiag[9]*s3  + idiag[13]*s4;
546 	x[i2+2] = idiag[2]*s1 + idiag[6]*s2 + idiag[10]*s3 + idiag[14]*s4;
547 	x[i2+3] = idiag[3]*s1 + idiag[7]*s2 + idiag[11]*s3 + idiag[15]*s4;
548         idiag   -= 16;
549         i2      -= 4;
550       }
551       ierr = PetscLogFlops(16.0*(a->nz));CHKERRQ(ierr);
552     }
553   } else {
554     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
555   }
556   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
557   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
558   PetscFunctionReturn(0);
559 }
560 
561 #undef __FUNCT__
562 #define __FUNCT__ "MatPBRelax_SeqBAIJ_5"
563 PetscErrorCode MatPBRelax_SeqBAIJ_5(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
564 {
565   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
566   PetscScalar        *x,x1,x2,x3,x4,x5,s1,s2,s3,s4,s5;
567   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
568   const PetscScalar  *b;
569   PetscErrorCode     ierr;
570   PetscInt           m = a->mbs,i,i2,nz,idx;
571   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
572 
573   PetscFunctionBegin;
574   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
575   its = its*lits;
576   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
577   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
578   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
579   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
580   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
581 
582   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
583 
584   diag  = a->diag;
585   idiag = a->idiag;
586   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
587   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
588 
589   if (flag & SOR_ZERO_INITIAL_GUESS) {
590     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
591       x[0] = b[0]*idiag[0] + b[1]*idiag[5] + b[2]*idiag[10] + b[3]*idiag[15] + b[4]*idiag[20];
592       x[1] = b[0]*idiag[1] + b[1]*idiag[6] + b[2]*idiag[11] + b[3]*idiag[16] + b[4]*idiag[21];
593       x[2] = b[0]*idiag[2] + b[1]*idiag[7] + b[2]*idiag[12] + b[3]*idiag[17] + b[4]*idiag[22];
594       x[3] = b[0]*idiag[3] + b[1]*idiag[8] + b[2]*idiag[13] + b[3]*idiag[18] + b[4]*idiag[23];
595       x[4] = b[0]*idiag[4] + b[1]*idiag[9] + b[2]*idiag[14] + b[3]*idiag[19] + b[4]*idiag[24];
596       i2     = 5;
597       idiag += 25;
598       for (i=1; i<m; i++) {
599 	v     = aa + 25*ai[i];
600 	vi    = aj + ai[i];
601 	nz    = diag[i] - ai[i];
602 	s1    = b[i2]; s2 = b[i2+1]; s3 = b[i2+2]; s4 = b[i2+3]; s5 = b[i2+4];
603 	while (nz--) {
604 	  idx  = 5*(*vi++);
605 	  x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx];
606 	  s1  -= v[0]*x1 + v[5]*x2 + v[10]*x3 + v[15]*x4 + v[20]*x5;
607 	  s2  -= v[1]*x1 + v[6]*x2 + v[11]*x3 + v[16]*x4 + v[21]*x5;
608 	  s3  -= v[2]*x1 + v[7]*x2 + v[12]*x3 + v[17]*x4 + v[22]*x5;
609 	  s4  -= v[3]*x1 + v[8]*x2 + v[13]*x3 + v[18]*x4 + v[23]*x5;
610 	  s5  -= v[4]*x1 + v[9]*x2 + v[14]*x3 + v[19]*x4 + v[24]*x5;
611 	  v   += 25;
612 	}
613 	x[i2]   = idiag[0]*s1 + idiag[5]*s2 + idiag[10]*s3 + idiag[15]*s4 + idiag[20]*s5;
614 	x[i2+1] = idiag[1]*s1 + idiag[6]*s2 + idiag[11]*s3 + idiag[16]*s4 + idiag[21]*s5;
615 	x[i2+2] = idiag[2]*s1 + idiag[7]*s2 + idiag[12]*s3 + idiag[17]*s4 + idiag[22]*s5;
616 	x[i2+3] = idiag[3]*s1 + idiag[8]*s2 + idiag[13]*s3 + idiag[18]*s4 + idiag[23]*s5;
617 	x[i2+4] = idiag[4]*s1 + idiag[9]*s2 + idiag[14]*s3 + idiag[19]*s4 + idiag[24]*s5;
618         idiag   += 25;
619         i2      += 5;
620       }
621       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
622       ierr = PetscLogFlops(25.0*(a->nz));CHKERRQ(ierr);
623     }
624     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
625         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
626       i2    = 0;
627       mdiag = a->idiag+25*a->mbs;
628       for (i=0; i<m; i++) {
629         x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3]; x5 = x[i2+4];
630         x[i2]   = mdiag[0]*x1 + mdiag[5]*x2 + mdiag[10]*x3 + mdiag[15]*x4 + mdiag[20]*x5;
631         x[i2+1] = mdiag[1]*x1 + mdiag[6]*x2 + mdiag[11]*x3 + mdiag[16]*x4 + mdiag[21]*x5;
632         x[i2+2] = mdiag[2]*x1 + mdiag[7]*x2 + mdiag[12]*x3 + mdiag[17]*x4 + mdiag[22]*x5;
633         x[i2+3] = mdiag[3]*x1 + mdiag[8]*x2 + mdiag[13]*x3 + mdiag[18]*x4 + mdiag[23]*x5;
634         x[i2+4] = mdiag[4]*x1 + mdiag[9]*x2 + mdiag[14]*x3 + mdiag[19]*x4 + mdiag[24]*x5;
635         mdiag  += 25;
636         i2     += 5;
637       }
638       ierr = PetscLogFlops(45.0*m);CHKERRQ(ierr);
639     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
640       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
641     }
642     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
643       idiag   = a->idiag+25*a->mbs - 25;
644       i2      = 5*m - 5;
645       x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3]; x5 = x[i2+4];
646       x[i2]   = idiag[0]*x1 + idiag[5]*x2 + idiag[10]*x3 + idiag[15]*x4 + idiag[20]*x5;
647       x[i2+1] = idiag[1]*x1 + idiag[6]*x2 + idiag[11]*x3 + idiag[16]*x4 + idiag[21]*x5;
648       x[i2+2] = idiag[2]*x1 + idiag[7]*x2 + idiag[12]*x3 + idiag[17]*x4 + idiag[22]*x5;
649       x[i2+3] = idiag[3]*x1 + idiag[8]*x2 + idiag[13]*x3 + idiag[18]*x4 + idiag[23]*x5;
650       x[i2+4] = idiag[4]*x1 + idiag[9]*x2 + idiag[14]*x3 + idiag[19]*x4 + idiag[24]*x5;
651       idiag -= 25;
652       i2    -= 5;
653       for (i=m-2; i>=0; i--) {
654 	v     = aa + 25*(diag[i]+1);
655 	vi    = aj + diag[i] + 1;
656 	nz    = ai[i+1] - diag[i] - 1;
657 	s1    = x[i2]; s2 = x[i2+1]; s3 = x[i2+2]; s4 = x[i2+3]; s5 = x[i2+4];
658 	while (nz--) {
659 	  idx  = 5*(*vi++);
660 	  x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx];
661 	  s1  -= v[0]*x1 + v[5]*x2 + v[10]*x3 + v[15]*x4 + v[20]*x5;
662 	  s2  -= v[1]*x1 + v[6]*x2 + v[11]*x3 + v[16]*x4 + v[21]*x5;
663 	  s3  -= v[2]*x1 + v[7]*x2 + v[12]*x3 + v[17]*x4 + v[22]*x5;
664 	  s4  -= v[3]*x1 + v[8]*x2 + v[13]*x3 + v[18]*x4 + v[23]*x5;
665 	  s5  -= v[4]*x1 + v[9]*x2 + v[14]*x3 + v[19]*x4 + v[24]*x5;
666 	  v   += 25;
667 	}
668 	x[i2]   = idiag[0]*s1 + idiag[5]*s2 + idiag[10]*s3 + idiag[15]*s4 + idiag[20]*s5;
669 	x[i2+1] = idiag[1]*s1 + idiag[6]*s2 + idiag[11]*s3 + idiag[16]*s4 + idiag[21]*s5;
670 	x[i2+2] = idiag[2]*s1 + idiag[7]*s2 + idiag[12]*s3 + idiag[17]*s4 + idiag[22]*s5;
671 	x[i2+3] = idiag[3]*s1 + idiag[8]*s2 + idiag[13]*s3 + idiag[18]*s4 + idiag[23]*s5;
672 	x[i2+4] = idiag[4]*s1 + idiag[9]*s2 + idiag[14]*s3 + idiag[19]*s4 + idiag[24]*s5;
673         idiag   -= 25;
674         i2      -= 5;
675       }
676       ierr = PetscLogFlops(25.0*(a->nz));CHKERRQ(ierr);
677     }
678   } else {
679     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
680   }
681   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
682   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
683   PetscFunctionReturn(0);
684 }
685 
686 #undef __FUNCT__
687 #define __FUNCT__ "MatPBRelax_SeqBAIJ_6"
688 PetscErrorCode MatPBRelax_SeqBAIJ_6(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
689 {
690   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
691   PetscScalar        *x,x1,x2,x3,x4,x5,x6,s1,s2,s3,s4,s5,s6;
692   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
693   const PetscScalar  *b;
694   PetscErrorCode     ierr;
695   PetscInt           m = a->mbs,i,i2,nz,idx;
696   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
697 
698   PetscFunctionBegin;
699   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
700   its = its*lits;
701   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
702   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
703   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
704   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
705   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
706 
707   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
708 
709   diag  = a->diag;
710   idiag = a->idiag;
711   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
712   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
713 
714   if (flag & SOR_ZERO_INITIAL_GUESS) {
715     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
716       x[0] = b[0]*idiag[0] + b[1]*idiag[6]  + b[2]*idiag[12] + b[3]*idiag[18] + b[4]*idiag[24] + b[5]*idiag[30];
717       x[1] = b[0]*idiag[1] + b[1]*idiag[7]  + b[2]*idiag[13] + b[3]*idiag[19] + b[4]*idiag[25] + b[5]*idiag[31];
718       x[2] = b[0]*idiag[2] + b[1]*idiag[8]  + b[2]*idiag[14] + b[3]*idiag[20] + b[4]*idiag[26] + b[5]*idiag[32];
719       x[3] = b[0]*idiag[3] + b[1]*idiag[9]  + b[2]*idiag[15] + b[3]*idiag[21] + b[4]*idiag[27] + b[5]*idiag[33];
720       x[4] = b[0]*idiag[4] + b[1]*idiag[10] + b[2]*idiag[16] + b[3]*idiag[22] + b[4]*idiag[28] + b[5]*idiag[34];
721       x[5] = b[0]*idiag[5] + b[1]*idiag[11] + b[2]*idiag[17] + b[3]*idiag[23] + b[4]*idiag[29] + b[5]*idiag[35];
722       i2     = 6;
723       idiag += 36;
724       for (i=1; i<m; i++) {
725         v     = aa + 36*ai[i];
726         vi    = aj + ai[i];
727         nz    = diag[i] - ai[i];
728         s1    = b[i2]; s2 = b[i2+1]; s3 = b[i2+2]; s4 = b[i2+3]; s5 = b[i2+4]; s6 = b[i2+5];
729         while (nz--) {
730           idx  = 6*(*vi++);
731           x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx]; x6 = x[5+idx];
732           s1  -= v[0]*x1 + v[6]*x2  + v[12]*x3 + v[18]*x4 + v[24]*x5 + v[30]*x6;
733           s2  -= v[1]*x1 + v[7]*x2  + v[13]*x3 + v[19]*x4 + v[25]*x5 + v[31]*x6;
734           s3  -= v[2]*x1 + v[8]*x2  + v[14]*x3 + v[20]*x4 + v[26]*x5 + v[32]*x6;
735           s4  -= v[3]*x1 + v[9]*x2  + v[15]*x3 + v[21]*x4 + v[27]*x5 + v[33]*x6;
736           s5  -= v[4]*x1 + v[10]*x2 + v[16]*x3 + v[22]*x4 + v[28]*x5 + v[34]*x6;
737           s6  -= v[5]*x1 + v[11]*x2 + v[17]*x3 + v[23]*x4 + v[29]*x5 + v[35]*x6;
738           v   += 36;
739         }
740         x[i2]   = idiag[0]*s1 + idiag[6]*s2  + idiag[12]*s3 + idiag[18]*s4 + idiag[24]*s5 + idiag[30]*s6;
741         x[i2+1] = idiag[1]*s1 + idiag[7]*s2  + idiag[13]*s3 + idiag[19]*s4 + idiag[25]*s5 + idiag[31]*s6;
742         x[i2+2] = idiag[2]*s1 + idiag[8]*s2  + idiag[14]*s3 + idiag[20]*s4 + idiag[26]*s5 + idiag[32]*s6;
743         x[i2+3] = idiag[3]*s1 + idiag[9]*s2  + idiag[15]*s3 + idiag[21]*s4 + idiag[27]*s5 + idiag[33]*s6;
744         x[i2+4] = idiag[4]*s1 + idiag[10]*s2 + idiag[16]*s3 + idiag[22]*s4 + idiag[28]*s5 + idiag[34]*s6;
745         x[i2+5] = idiag[5]*s1 + idiag[11]*s2 + idiag[17]*s3 + idiag[23]*s4 + idiag[29]*s5 + idiag[35]*s6;
746         idiag   += 36;
747         i2      += 6;
748       }
749       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
750       ierr = PetscLogFlops(36.0*(a->nz));CHKERRQ(ierr);
751     }
752     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
753         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
754       i2    = 0;
755       mdiag = a->idiag+36*a->mbs;
756       for (i=0; i<m; i++) {
757         x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3]; x5 = x[i2+4]; x6 = x[i2+5];
758         x[i2]   = mdiag[0]*x1 + mdiag[6]*x2  + mdiag[12]*x3 + mdiag[18]*x4 + mdiag[24]*x5 + mdiag[30]*x6;
759         x[i2+1] = mdiag[1]*x1 + mdiag[7]*x2  + mdiag[13]*x3 + mdiag[19]*x4 + mdiag[25]*x5 + mdiag[31]*x6;
760         x[i2+2] = mdiag[2]*x1 + mdiag[8]*x2  + mdiag[14]*x3 + mdiag[20]*x4 + mdiag[26]*x5 + mdiag[32]*x6;
761         x[i2+3] = mdiag[3]*x1 + mdiag[9]*x2  + mdiag[15]*x3 + mdiag[21]*x4 + mdiag[27]*x5 + mdiag[33]*x6;
762         x[i2+4] = mdiag[4]*x1 + mdiag[10]*x2 + mdiag[16]*x3 + mdiag[22]*x4 + mdiag[28]*x5 + mdiag[34]*x6;
763         x[i2+5] = mdiag[5]*x1 + mdiag[11]*x2 + mdiag[17]*x3 + mdiag[23]*x4 + mdiag[29]*x5 + mdiag[35]*x6;
764         mdiag  += 36;
765         i2     += 6;
766       }
767       ierr = PetscLogFlops(60.0*m);CHKERRQ(ierr);
768     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
769       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
770     }
771     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
772       idiag   = a->idiag+36*a->mbs - 36;
773       i2      = 6*m - 6;
774       x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3]; x5 = x[i2+4]; x6 = x[i2+5];
775       x[i2]   = idiag[0]*x1 + idiag[6]*x2  + idiag[12]*x3 + idiag[18]*x4 + idiag[24]*x5 + idiag[30]*x6;
776       x[i2+1] = idiag[1]*x1 + idiag[7]*x2  + idiag[13]*x3 + idiag[19]*x4 + idiag[25]*x5 + idiag[31]*x6;
777       x[i2+2] = idiag[2]*x1 + idiag[8]*x2  + idiag[14]*x3 + idiag[20]*x4 + idiag[26]*x5 + idiag[32]*x6;
778       x[i2+3] = idiag[3]*x1 + idiag[9]*x2  + idiag[15]*x3 + idiag[21]*x4 + idiag[27]*x5 + idiag[33]*x6;
779       x[i2+4] = idiag[4]*x1 + idiag[10]*x2 + idiag[16]*x3 + idiag[22]*x4 + idiag[28]*x5 + idiag[34]*x6;
780       x[i2+5] = idiag[5]*x1 + idiag[11]*x2 + idiag[17]*x3 + idiag[23]*x4 + idiag[29]*x5 + idiag[35]*x6;
781       idiag -= 36;
782       i2    -= 6;
783       for (i=m-2; i>=0; i--) {
784         v     = aa + 36*(diag[i]+1);
785         vi    = aj + diag[i] + 1;
786         nz    = ai[i+1] - diag[i] - 1;
787         s1    = x[i2]; s2 = x[i2+1]; s3 = x[i2+2]; s4 = x[i2+3]; s5 = x[i2+4]; s6 = x[i2+5];
788         while (nz--) {
789           idx  = 6*(*vi++);
790           x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx]; x6 = x[5+idx];
791           s1  -= v[0]*x1 + v[6]*x2  + v[12]*x3 + v[18]*x4 + v[24]*x5 + v[30]*x6;
792           s2  -= v[1]*x1 + v[7]*x2  + v[13]*x3 + v[19]*x4 + v[25]*x5 + v[31]*x6;
793           s3  -= v[2]*x1 + v[8]*x2  + v[14]*x3 + v[20]*x4 + v[26]*x5 + v[32]*x6;
794           s4  -= v[3]*x1 + v[9]*x2  + v[15]*x3 + v[21]*x4 + v[27]*x5 + v[33]*x6;
795           s5  -= v[4]*x1 + v[10]*x2 + v[16]*x3 + v[22]*x4 + v[28]*x5 + v[34]*x6;
796           s6  -= v[5]*x1 + v[11]*x2 + v[17]*x3 + v[23]*x4 + v[29]*x5 + v[35]*x6;
797           v   += 36;
798         }
799         x[i2]   = idiag[0]*s1 + idiag[6]*s2  + idiag[12]*s3 + idiag[18]*s4 + idiag[24]*s5 + idiag[30]*s6;
800         x[i2+1] = idiag[1]*s1 + idiag[7]*s2  + idiag[13]*s3 + idiag[19]*s4 + idiag[25]*s5 + idiag[31]*s6;
801         x[i2+2] = idiag[2]*s1 + idiag[8]*s2  + idiag[14]*s3 + idiag[20]*s4 + idiag[26]*s5 + idiag[32]*s6;
802         x[i2+3] = idiag[3]*s1 + idiag[9]*s2  + idiag[15]*s3 + idiag[21]*s4 + idiag[27]*s5 + idiag[33]*s6;
803         x[i2+4] = idiag[4]*s1 + idiag[10]*s2 + idiag[16]*s3 + idiag[22]*s4 + idiag[28]*s5 + idiag[34]*s6;
804         x[i2+5] = idiag[5]*s1 + idiag[11]*s2 + idiag[17]*s3 + idiag[23]*s4 + idiag[29]*s5 + idiag[35]*s6;
805         idiag   -= 36;
806         i2      -= 6;
807       }
808       ierr = PetscLogFlops(36.0*(a->nz));CHKERRQ(ierr);
809     }
810   } else {
811     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
812   }
813   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
814   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
815   PetscFunctionReturn(0);
816 }
817 
818 #undef __FUNCT__
819 #define __FUNCT__ "MatPBRelax_SeqBAIJ_7"
820 PetscErrorCode MatPBRelax_SeqBAIJ_7(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
821 {
822   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
823   PetscScalar        *x,x1,x2,x3,x4,x5,x6,x7,s1,s2,s3,s4,s5,s6,s7;
824   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
825   const PetscScalar  *b;
826   PetscErrorCode     ierr;
827   PetscInt           m = a->mbs,i,i2,nz,idx;
828   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
829 
830   PetscFunctionBegin;
831   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
832   its = its*lits;
833   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
834   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
835   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
836   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
837   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
838 
839   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
840 
841   diag  = a->diag;
842   idiag = a->idiag;
843   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
844   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
845 
846   if (flag & SOR_ZERO_INITIAL_GUESS) {
847     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
848       x[0] = b[0]*idiag[0] + b[1]*idiag[7]  + b[2]*idiag[14] + b[3]*idiag[21] + b[4]*idiag[28] + b[5]*idiag[35] + b[6]*idiag[42];
849       x[1] = b[0]*idiag[1] + b[1]*idiag[8]  + b[2]*idiag[15] + b[3]*idiag[22] + b[4]*idiag[29] + b[5]*idiag[36] + b[6]*idiag[43];
850       x[2] = b[0]*idiag[2] + b[1]*idiag[9]  + b[2]*idiag[16] + b[3]*idiag[23] + b[4]*idiag[30] + b[5]*idiag[37] + b[6]*idiag[44];
851       x[3] = b[0]*idiag[3] + b[1]*idiag[10] + b[2]*idiag[17] + b[3]*idiag[24] + b[4]*idiag[31] + b[5]*idiag[38] + b[6]*idiag[45];
852       x[4] = b[0]*idiag[4] + b[1]*idiag[11] + b[2]*idiag[18] + b[3]*idiag[25] + b[4]*idiag[32] + b[5]*idiag[39] + b[6]*idiag[46];
853       x[5] = b[0]*idiag[5] + b[1]*idiag[12] + b[2]*idiag[19] + b[3]*idiag[26] + b[4]*idiag[33] + b[5]*idiag[40] + b[6]*idiag[47];
854       x[6] = b[0]*idiag[6] + b[1]*idiag[13] + b[2]*idiag[20] + b[3]*idiag[27] + b[4]*idiag[34] + b[5]*idiag[41] + b[6]*idiag[48];
855       i2     = 7;
856       idiag += 49;
857       for (i=1; i<m; i++) {
858         v     = aa + 49*ai[i];
859         vi    = aj + ai[i];
860         nz    = diag[i] - ai[i];
861         s1    = b[i2]; s2 = b[i2+1]; s3 = b[i2+2]; s4 = b[i2+3]; s5 = b[i2+4]; s6 = b[i2+5]; s7 = b[i2+6];
862         while (nz--) {
863           idx  = 7*(*vi++);
864           x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx]; x6 = x[5+idx]; x7 = x[6+idx];
865           s1  -= v[0]*x1 + v[7]*x2  + v[14]*x3 + v[21]*x4 + v[28]*x5 + v[35]*x6 + v[42]*x7;
866           s2  -= v[1]*x1 + v[8]*x2  + v[15]*x3 + v[22]*x4 + v[29]*x5 + v[36]*x6 + v[43]*x7;
867           s3  -= v[2]*x1 + v[9]*x2  + v[16]*x3 + v[23]*x4 + v[30]*x5 + v[37]*x6 + v[44]*x7;
868           s4  -= v[3]*x1 + v[10]*x2 + v[17]*x3 + v[24]*x4 + v[31]*x5 + v[38]*x6 + v[45]*x7;
869           s5  -= v[4]*x1 + v[11]*x2 + v[18]*x3 + v[25]*x4 + v[32]*x5 + v[39]*x6 + v[46]*x7;
870           s6  -= v[5]*x1 + v[12]*x2 + v[19]*x3 + v[26]*x4 + v[33]*x5 + v[40]*x6 + v[47]*x7;
871           s7  -= v[6]*x1 + v[13]*x2 + v[20]*x3 + v[27]*x4 + v[34]*x5 + v[41]*x6 + v[48]*x7;
872           v   += 49;
873         }
874         x[i2]   = idiag[0]*s1 + idiag[7]*s2  + idiag[14]*s3 + idiag[21]*s4 + idiag[28]*s5 + idiag[35]*s6 + idiag[42]*s7;
875         x[i2+1] = idiag[1]*s1 + idiag[8]*s2  + idiag[15]*s3 + idiag[22]*s4 + idiag[29]*s5 + idiag[36]*s6 + idiag[43]*s7;
876         x[i2+2] = idiag[2]*s1 + idiag[9]*s2  + idiag[16]*s3 + idiag[23]*s4 + idiag[30]*s5 + idiag[37]*s6 + idiag[44]*s7;
877         x[i2+3] = idiag[3]*s1 + idiag[10]*s2 + idiag[17]*s3 + idiag[24]*s4 + idiag[31]*s5 + idiag[38]*s6 + idiag[45]*s7;
878         x[i2+4] = idiag[4]*s1 + idiag[11]*s2 + idiag[18]*s3 + idiag[25]*s4 + idiag[32]*s5 + idiag[39]*s6 + idiag[46]*s7;
879         x[i2+5] = idiag[5]*s1 + idiag[12]*s2 + idiag[19]*s3 + idiag[26]*s4 + idiag[33]*s5 + idiag[40]*s6 + idiag[47]*s7;
880         x[i2+6] = idiag[6]*s1 + idiag[13]*s2 + idiag[20]*s3 + idiag[27]*s4 + idiag[34]*s5 + idiag[41]*s6 + idiag[48]*s7;
881         idiag   += 49;
882         i2      += 7;
883       }
884       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
885       ierr = PetscLogFlops(49.0*(a->nz));CHKERRQ(ierr);
886     }
887     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
888         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
889       i2    = 0;
890       mdiag = a->idiag+49*a->mbs;
891       for (i=0; i<m; i++) {
892         x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3]; x5 = x[i2+4]; x6 = x[i2+5]; x7 = x[i2+6];
893         x[i2]   = mdiag[0]*x1 + mdiag[7]*x2  + mdiag[14]*x3 + mdiag[21]*x4 + mdiag[28]*x5 + mdiag[35]*x6 + mdiag[35]*x7;
894         x[i2+1] = mdiag[1]*x1 + mdiag[8]*x2  + mdiag[15]*x3 + mdiag[22]*x4 + mdiag[29]*x5 + mdiag[36]*x6 + mdiag[36]*x7;
895         x[i2+2] = mdiag[2]*x1 + mdiag[9]*x2  + mdiag[16]*x3 + mdiag[23]*x4 + mdiag[30]*x5 + mdiag[37]*x6 + mdiag[37]*x7;
896         x[i2+3] = mdiag[3]*x1 + mdiag[10]*x2 + mdiag[17]*x3 + mdiag[24]*x4 + mdiag[31]*x5 + mdiag[38]*x6 + mdiag[38]*x7;
897         x[i2+4] = mdiag[4]*x1 + mdiag[11]*x2 + mdiag[18]*x3 + mdiag[25]*x4 + mdiag[32]*x5 + mdiag[39]*x6 + mdiag[39]*x7;
898         x[i2+5] = mdiag[5]*x1 + mdiag[12]*x2 + mdiag[19]*x3 + mdiag[26]*x4 + mdiag[33]*x5 + mdiag[40]*x6 + mdiag[40]*x7;
899         x[i2+6] = mdiag[6]*x1 + mdiag[13]*x2 + mdiag[20]*x3 + mdiag[27]*x4 + mdiag[34]*x5 + mdiag[41]*x6 + mdiag[41]*x7;
900         mdiag  += 36;
901         i2     += 6;
902       }
903       ierr = PetscLogFlops(93.0*m);CHKERRQ(ierr);
904     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
905       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
906     }
907     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
908       idiag   = a->idiag+49*a->mbs - 49;
909       i2      = 7*m - 7;
910       x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3]; x5 = x[i2+4]; x6 = x[i2+5]; x7 = x[i2+6];
911       x[i2]   = idiag[0]*x1 + idiag[7]*x2  + idiag[14]*x3 + idiag[21]*x4 + idiag[28]*x5 + idiag[35]*x6 + idiag[42]*x7;
912       x[i2+1] = idiag[1]*x1 + idiag[8]*x2  + idiag[15]*x3 + idiag[22]*x4 + idiag[29]*x5 + idiag[36]*x6 + idiag[43]*x7;
913       x[i2+2] = idiag[2]*x1 + idiag[9]*x2  + idiag[16]*x3 + idiag[23]*x4 + idiag[30]*x5 + idiag[37]*x6 + idiag[44]*x7;
914       x[i2+3] = idiag[3]*x1 + idiag[10]*x2 + idiag[17]*x3 + idiag[24]*x4 + idiag[31]*x5 + idiag[38]*x6 + idiag[45]*x7;
915       x[i2+4] = idiag[4]*x1 + idiag[11]*x2 + idiag[18]*x3 + idiag[25]*x4 + idiag[32]*x5 + idiag[39]*x6 + idiag[46]*x7;
916       x[i2+5] = idiag[5]*x1 + idiag[12]*x2 + idiag[19]*x3 + idiag[26]*x4 + idiag[33]*x5 + idiag[40]*x6 + idiag[47]*x7;
917       x[i2+6] = idiag[6]*x1 + idiag[13]*x2 + idiag[20]*x3 + idiag[27]*x4 + idiag[34]*x5 + idiag[41]*x6 + idiag[48]*x7;
918       idiag -= 49;
919       i2    -= 7;
920       for (i=m-2; i>=0; i--) {
921         v     = aa + 49*(diag[i]+1);
922         vi    = aj + diag[i] + 1;
923         nz    = ai[i+1] - diag[i] - 1;
924         s1    = x[i2]; s2 = x[i2+1]; s3 = x[i2+2]; s4 = x[i2+3]; s5 = x[i2+4]; s6 = x[i2+5]; s7 = x[i2+6];
925         while (nz--) {
926           idx  = 7*(*vi++);
927           x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx]; x6 = x[5+idx]; x7 = x[6+idx];
928           s1  -= v[0]*x1 + v[7]*x2  + v[14]*x3 + v[21]*x4 + v[28]*x5 + v[35]*x6 + v[42]*x7;
929           s2  -= v[1]*x1 + v[8]*x2  + v[15]*x3 + v[22]*x4 + v[29]*x5 + v[36]*x6 + v[43]*x7;
930           s3  -= v[2]*x1 + v[9]*x2  + v[16]*x3 + v[23]*x4 + v[30]*x5 + v[37]*x6 + v[44]*x7;
931           s4  -= v[3]*x1 + v[10]*x2 + v[17]*x3 + v[24]*x4 + v[31]*x5 + v[38]*x6 + v[45]*x7;
932           s5  -= v[4]*x1 + v[11]*x2 + v[18]*x3 + v[25]*x4 + v[32]*x5 + v[39]*x6 + v[46]*x7;
933           s6  -= v[5]*x1 + v[12]*x2 + v[19]*x3 + v[26]*x4 + v[33]*x5 + v[40]*x6 + v[47]*x7;
934           s7  -= v[6]*x1 + v[13]*x2 + v[20]*x3 + v[27]*x4 + v[34]*x5 + v[41]*x6 + v[48]*x7;
935           v   += 49;
936         }
937         x[i2]   = idiag[0]*s1 + idiag[7]*s2  + idiag[14]*s3 + idiag[21]*s4 + idiag[28]*s5 + idiag[35]*s6 + idiag[42]*s7;
938         x[i2+1] = idiag[1]*s1 + idiag[8]*s2  + idiag[15]*s3 + idiag[22]*s4 + idiag[29]*s5 + idiag[36]*s6 + idiag[43]*s7;
939         x[i2+2] = idiag[2]*s1 + idiag[9]*s2  + idiag[16]*s3 + idiag[23]*s4 + idiag[30]*s5 + idiag[37]*s6 + idiag[44]*s7;
940         x[i2+3] = idiag[3]*s1 + idiag[10]*s2 + idiag[17]*s3 + idiag[24]*s4 + idiag[31]*s5 + idiag[38]*s6 + idiag[45]*s7;
941         x[i2+4] = idiag[4]*s1 + idiag[11]*s2 + idiag[18]*s3 + idiag[25]*s4 + idiag[32]*s5 + idiag[39]*s6 + idiag[46]*s7;
942         x[i2+5] = idiag[5]*s1 + idiag[12]*s2 + idiag[19]*s3 + idiag[26]*s4 + idiag[33]*s5 + idiag[40]*s6 + idiag[47]*s7;
943         x[i2+6] = idiag[6]*s1 + idiag[13]*s2 + idiag[20]*s3 + idiag[27]*s4 + idiag[34]*s5 + idiag[41]*s6 + idiag[48]*s7;
944         idiag   -= 49;
945         i2      -= 7;
946       }
947       ierr = PetscLogFlops(49.0*(a->nz));CHKERRQ(ierr);
948     }
949   } else {
950     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
951   }
952   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
953   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
954   PetscFunctionReturn(0);
955 }
956 
957 /*
958     Special version for direct calls from Fortran (Used in PETSc-fun3d)
959 */
960 #if defined(PETSC_HAVE_FORTRAN_CAPS)
961 #define matsetvaluesblocked4_ MATSETVALUESBLOCKED4
962 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
963 #define matsetvaluesblocked4_ matsetvaluesblocked4
964 #endif
965 
966 EXTERN_C_BEGIN
967 #undef __FUNCT__
968 #define __FUNCT__ "matsetvaluesblocked4_"
969 void PETSCMAT_DLLEXPORT matsetvaluesblocked4_(Mat *AA,PetscInt *mm,const PetscInt im[],PetscInt *nn,const PetscInt in[],const PetscScalar v[])
970 {
971   Mat               A = *AA;
972   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
973   PetscInt          *rp,k,low,high,t,ii,jj,row,nrow,i,col,l,N,m = *mm,n = *nn;
974   PetscInt          *ai=a->i,*ailen=a->ilen;
975   PetscInt          *aj=a->j,stepval,lastcol = -1;
976   const PetscScalar *value = v;
977   MatScalar         *ap,*aa = a->a,*bap;
978 
979   PetscFunctionBegin;
980   if (A->rmap->bs != 4) SETERRABORT(((PetscObject)A)->comm,PETSC_ERR_ARG_WRONG,"Can only be called with a block size of 4");
981   stepval = (n-1)*4;
982   for (k=0; k<m; k++) { /* loop over added rows */
983     row  = im[k];
984     rp   = aj + ai[row];
985     ap   = aa + 16*ai[row];
986     nrow = ailen[row];
987     low  = 0;
988     high = nrow;
989     for (l=0; l<n; l++) { /* loop over added columns */
990       col = in[l];
991       if (col <= lastcol) low = 0; else high = nrow;
992       lastcol = col;
993       value = v + k*(stepval+4 + l)*4;
994       while (high-low > 7) {
995         t = (low+high)/2;
996         if (rp[t] > col) high = t;
997         else             low  = t;
998       }
999       for (i=low; i<high; i++) {
1000         if (rp[i] > col) break;
1001         if (rp[i] == col) {
1002           bap  = ap +  16*i;
1003           for (ii=0; ii<4; ii++,value+=stepval) {
1004             for (jj=ii; jj<16; jj+=4) {
1005               bap[jj] += *value++;
1006             }
1007           }
1008           goto noinsert2;
1009         }
1010       }
1011       N = nrow++ - 1;
1012       high++; /* added new column index thus must search to one higher than before */
1013       /* shift up all the later entries in this row */
1014       for (ii=N; ii>=i; ii--) {
1015         rp[ii+1] = rp[ii];
1016         PetscMemcpy(ap+16*(ii+1),ap+16*(ii),16*sizeof(MatScalar));
1017       }
1018       if (N >= i) {
1019         PetscMemzero(ap+16*i,16*sizeof(MatScalar));
1020       }
1021       rp[i] = col;
1022       bap   = ap +  16*i;
1023       for (ii=0; ii<4; ii++,value+=stepval) {
1024         for (jj=ii; jj<16; jj+=4) {
1025           bap[jj] = *value++;
1026         }
1027       }
1028       noinsert2:;
1029       low = i;
1030     }
1031     ailen[row] = nrow;
1032   }
1033   PetscFunctionReturnVoid();
1034 }
1035 EXTERN_C_END
1036 
1037 #if defined(PETSC_HAVE_FORTRAN_CAPS)
1038 #define matsetvalues4_ MATSETVALUES4
1039 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
1040 #define matsetvalues4_ matsetvalues4
1041 #endif
1042 
1043 EXTERN_C_BEGIN
1044 #undef __FUNCT__
1045 #define __FUNCT__ "MatSetValues4_"
1046 void PETSCMAT_DLLEXPORT matsetvalues4_(Mat *AA,PetscInt *mm,PetscInt *im,PetscInt *nn,PetscInt *in,PetscScalar *v)
1047 {
1048   Mat         A = *AA;
1049   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
1050   PetscInt    *rp,k,low,high,t,ii,row,nrow,i,col,l,N,n = *nn,m = *mm;
1051   PetscInt    *ai=a->i,*ailen=a->ilen;
1052   PetscInt    *aj=a->j,brow,bcol;
1053   PetscInt    ridx,cidx,lastcol = -1;
1054   MatScalar   *ap,value,*aa=a->a,*bap;
1055 
1056   PetscFunctionBegin;
1057   for (k=0; k<m; k++) { /* loop over added rows */
1058     row  = im[k]; brow = row/4;
1059     rp   = aj + ai[brow];
1060     ap   = aa + 16*ai[brow];
1061     nrow = ailen[brow];
1062     low  = 0;
1063     high = nrow;
1064     for (l=0; l<n; l++) { /* loop over added columns */
1065       col = in[l]; bcol = col/4;
1066       ridx = row % 4; cidx = col % 4;
1067       value = v[l + k*n];
1068       if (col <= lastcol) low = 0; else high = nrow;
1069       lastcol = col;
1070       while (high-low > 7) {
1071         t = (low+high)/2;
1072         if (rp[t] > bcol) high = t;
1073         else              low  = t;
1074       }
1075       for (i=low; i<high; i++) {
1076         if (rp[i] > bcol) break;
1077         if (rp[i] == bcol) {
1078           bap  = ap +  16*i + 4*cidx + ridx;
1079           *bap += value;
1080           goto noinsert1;
1081         }
1082       }
1083       N = nrow++ - 1;
1084       high++; /* added new column thus must search to one higher than before */
1085       /* shift up all the later entries in this row */
1086       for (ii=N; ii>=i; ii--) {
1087         rp[ii+1] = rp[ii];
1088         PetscMemcpy(ap+16*(ii+1),ap+16*(ii),16*sizeof(MatScalar));
1089       }
1090       if (N>=i) {
1091         PetscMemzero(ap+16*i,16*sizeof(MatScalar));
1092       }
1093       rp[i]                    = bcol;
1094       ap[16*i + 4*cidx + ridx] = value;
1095       noinsert1:;
1096       low = i;
1097     }
1098     ailen[brow] = nrow;
1099   }
1100   PetscFunctionReturnVoid();
1101 }
1102 EXTERN_C_END
1103 
1104 /*
1105      Checks for missing diagonals
1106 */
1107 #undef __FUNCT__
1108 #define __FUNCT__ "MatMissingDiagonal_SeqBAIJ"
1109 PetscErrorCode MatMissingDiagonal_SeqBAIJ(Mat A,PetscTruth *missing,PetscInt *d)
1110 {
1111   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1112   PetscErrorCode ierr;
1113   PetscInt       *diag,*jj = a->j,i;
1114 
1115   PetscFunctionBegin;
1116   ierr = MatMarkDiagonal_SeqBAIJ(A);CHKERRQ(ierr);
1117   *missing = PETSC_FALSE;
1118   if (A->rmap->n > 0 && !jj) {
1119     *missing  = PETSC_TRUE;
1120     if (d) *d = 0;
1121     PetscInfo(A,"Matrix has no entries therefor is missing diagonal");
1122   } else {
1123     diag     = a->diag;
1124     for (i=0; i<a->mbs; i++) {
1125       if (jj[diag[i]] != i) {
1126         *missing  = PETSC_TRUE;
1127         if (d) *d = i;
1128         PetscInfo1(A,"Matrix is missing block diagonal number %D",i);
1129       }
1130     }
1131   }
1132   PetscFunctionReturn(0);
1133 }
1134 
1135 #undef __FUNCT__
1136 #define __FUNCT__ "MatMarkDiagonal_SeqBAIJ"
1137 PetscErrorCode MatMarkDiagonal_SeqBAIJ(Mat A)
1138 {
1139   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1140   PetscErrorCode ierr;
1141   PetscInt       i,j,m = a->mbs;
1142 
1143   PetscFunctionBegin;
1144   if (!a->diag) {
1145     ierr = PetscMalloc(m*sizeof(PetscInt),&a->diag);CHKERRQ(ierr);
1146     ierr = PetscLogObjectMemory(A,m*sizeof(PetscInt));CHKERRQ(ierr);
1147     a->free_diag = PETSC_TRUE;
1148   }
1149   for (i=0; i<m; i++) {
1150     a->diag[i] = a->i[i+1];
1151     for (j=a->i[i]; j<a->i[i+1]; j++) {
1152       if (a->j[j] == i) {
1153         a->diag[i] = j;
1154         break;
1155       }
1156     }
1157   }
1158   PetscFunctionReturn(0);
1159 }
1160 
1161 
1162 EXTERN PetscErrorCode MatToSymmetricIJ_SeqAIJ(PetscInt,PetscInt*,PetscInt*,PetscInt,PetscInt,PetscInt**,PetscInt**);
1163 
1164 #undef __FUNCT__
1165 #define __FUNCT__ "MatGetRowIJ_SeqBAIJ"
1166 static PetscErrorCode MatGetRowIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscTruth blockcompressed,PetscInt *nn,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
1167 {
1168   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1169   PetscErrorCode ierr;
1170   PetscInt       i,j,n = a->mbs,nz = a->i[n],bs = A->rmap->bs,nbs = 1,k,l,cnt;
1171   PetscInt       *tia, *tja;
1172 
1173   PetscFunctionBegin;
1174   *nn = n;
1175   if (!ia) PetscFunctionReturn(0);
1176   if (symmetric) {
1177     ierr = MatToSymmetricIJ_SeqAIJ(n,a->i,a->j,0,0,&tia,&tja);CHKERRQ(ierr);
1178   } else {
1179     tia = a->i; tja = a->j;
1180   }
1181 
1182   if (!blockcompressed && bs > 1) {
1183     (*nn) *= bs;
1184     nbs    = bs;
1185     /* malloc & create the natural set of indices */
1186     ierr = PetscMalloc((n+1)*bs*sizeof(PetscInt),ia);CHKERRQ(ierr);
1187     if (n) {
1188       (*ia)[0] = 0;
1189       for (j=1; j<bs; j++) {
1190         (*ia)[j] = (tia[1]-tia[0])*bs+(*ia)[j-1];
1191       }
1192     }
1193 
1194     for (i=1; i<n; i++) {
1195       (*ia)[i*bs] = (tia[i]-tia[i-1])*bs + (*ia)[i*bs-1];
1196       for (j=1; j<bs; j++) {
1197         (*ia)[i*bs+j] = (tia[i+1]-tia[i])*bs + (*ia)[i*bs+j-1];
1198       }
1199     }
1200     if (n) {
1201       (*ia)[n*bs] = (tia[n]-tia[n-1])*bs + (*ia)[n*bs-1];
1202     }
1203 
1204     if (ja) {
1205       ierr = PetscMalloc(nz*bs*bs*sizeof(PetscInt),ja);CHKERRQ(ierr);
1206       cnt = 0;
1207       for (i=0; i<n; i++) {
1208         for (j=0; j<bs; j++) {
1209           for (k=tia[i]; k<tia[i+1]; k++) {
1210             for (l=0; l<bs; l++) {
1211               (*ja)[cnt++] = bs*tja[k] + l;
1212 	    }
1213           }
1214         }
1215       }
1216     }
1217 
1218     n     *= bs;
1219     nz *= bs*bs;
1220     if (symmetric) { /* deallocate memory allocated in MatToSymmetricIJ_SeqAIJ() */
1221       ierr = PetscFree(tia);CHKERRQ(ierr);
1222       ierr = PetscFree(tja);CHKERRQ(ierr);
1223     }
1224   } else if (oshift == 1) {
1225     if (symmetric) {
1226       PetscInt nz = tia[A->rmap->n/bs];
1227       /*  add 1 to i and j indices */
1228       for (i=0; i<A->rmap->n/bs+1; i++) tia[i] = tia[i] + 1;
1229       *ia = tia;
1230       if (ja) {
1231 	for (i=0; i<nz; i++) tja[i] = tja[i] + 1;
1232         *ja = tja;
1233       }
1234     } else {
1235       PetscInt nz = a->i[A->rmap->n/bs];
1236       /* malloc space and  add 1 to i and j indices */
1237       ierr = PetscMalloc((A->rmap->n/bs+1)*sizeof(PetscInt),ia);CHKERRQ(ierr);
1238       for (i=0; i<A->rmap->n/bs+1; i++) (*ia)[i] = a->i[i] + 1;
1239       if (ja) {
1240 	ierr = PetscMalloc(nz*sizeof(PetscInt),ja);CHKERRQ(ierr);
1241 	for (i=0; i<nz; i++) (*ja)[i] = a->j[i] + 1;
1242       }
1243     }
1244   } else {
1245     *ia = tia;
1246     if (ja) *ja = tja;
1247   }
1248 
1249   PetscFunctionReturn(0);
1250 }
1251 
1252 #undef __FUNCT__
1253 #define __FUNCT__ "MatRestoreRowIJ_SeqBAIJ"
1254 static PetscErrorCode MatRestoreRowIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscTruth blockcompressed,PetscInt *nn,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
1255 {
1256   PetscErrorCode ierr;
1257 
1258   PetscFunctionBegin;
1259   if (!ia) PetscFunctionReturn(0);
1260   if ((!blockcompressed && A->rmap->bs > 1) || (symmetric || oshift == 1)) {
1261     ierr = PetscFree(*ia);CHKERRQ(ierr);
1262     if (ja) {ierr = PetscFree(*ja);CHKERRQ(ierr);}
1263   }
1264   PetscFunctionReturn(0);
1265 }
1266 
1267 #undef __FUNCT__
1268 #define __FUNCT__ "MatDestroy_SeqBAIJ"
1269 PetscErrorCode MatDestroy_SeqBAIJ(Mat A)
1270 {
1271   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1272   PetscErrorCode ierr;
1273 
1274   PetscFunctionBegin;
1275 #if defined(PETSC_USE_LOG)
1276   PetscLogObjectState((PetscObject)A,"Rows=%D, Cols=%D, NZ=%D",A->rmap->N,A->cmap->n,a->nz);
1277 #endif
1278   ierr = MatSeqXAIJFreeAIJ(A,&a->a,&a->j,&a->i);CHKERRQ(ierr);
1279   if (a->row) {
1280     ierr = ISDestroy(a->row);CHKERRQ(ierr);
1281   }
1282   if (a->col) {
1283     ierr = ISDestroy(a->col);CHKERRQ(ierr);
1284   }
1285   if (a->free_diag) {ierr = PetscFree(a->diag);CHKERRQ(ierr);}
1286   ierr = PetscFree(a->idiag);CHKERRQ(ierr);
1287   if (a->free_imax_ilen) {ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);}
1288   ierr = PetscFree(a->solve_work);CHKERRQ(ierr);
1289   ierr = PetscFree(a->mult_work);CHKERRQ(ierr);
1290   if (a->icol) {ierr = ISDestroy(a->icol);CHKERRQ(ierr);}
1291   ierr = PetscFree(a->saved_values);CHKERRQ(ierr);
1292   ierr = PetscFree(a->xtoy);CHKERRQ(ierr);
1293   if (a->compressedrow.use){ierr = PetscFree(a->compressedrow.i);}
1294 
1295   if (a->sbaijMat) {ierr = MatDestroy(a->sbaijMat);CHKERRQ(ierr);}
1296   if (a->parent) {ierr = MatDestroy(a->parent);CHKERRQ(ierr);}
1297   ierr = PetscFree(a);CHKERRQ(ierr);
1298 
1299   ierr = PetscObjectChangeTypeName((PetscObject)A,0);CHKERRQ(ierr);
1300   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJInvertBlockDiagonal_C","",PETSC_NULL);CHKERRQ(ierr);
1301   ierr = PetscObjectComposeFunction((PetscObject)A,"MatStoreValues_C","",PETSC_NULL);CHKERRQ(ierr);
1302   ierr = PetscObjectComposeFunction((PetscObject)A,"MatRetrieveValues_C","",PETSC_NULL);CHKERRQ(ierr);
1303   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJSetColumnIndices_C","",PETSC_NULL);CHKERRQ(ierr);
1304   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqbaij_seqaij_C","",PETSC_NULL);CHKERRQ(ierr);
1305   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqbaij_seqsbaij_C","",PETSC_NULL);CHKERRQ(ierr);
1306   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJSetPreallocation_C","",PETSC_NULL);CHKERRQ(ierr);
1307   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJSetPreallocationCSR_C","",PETSC_NULL);CHKERRQ(ierr);
1308   PetscFunctionReturn(0);
1309 }
1310 
1311 #undef __FUNCT__
1312 #define __FUNCT__ "MatSetOption_SeqBAIJ"
1313 PetscErrorCode MatSetOption_SeqBAIJ(Mat A,MatOption op,PetscTruth flg)
1314 {
1315   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1316   PetscErrorCode ierr;
1317 
1318   PetscFunctionBegin;
1319   switch (op) {
1320   case MAT_ROW_ORIENTED:
1321     a->roworiented    = flg;
1322     break;
1323   case MAT_KEEP_NONZERO_PATTERN:
1324     a->keepnonzeropattern = flg;
1325     break;
1326   case MAT_NEW_NONZERO_LOCATIONS:
1327     a->nonew          = (flg ? 0 : 1);
1328     break;
1329   case MAT_NEW_NONZERO_LOCATION_ERR:
1330     a->nonew          = (flg ? -1 : 0);
1331     break;
1332   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1333     a->nonew          = (flg ? -2 : 0);
1334     break;
1335   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1336     a->nounused       = (flg ? -1 : 0);
1337     break;
1338   case MAT_NEW_DIAGONALS:
1339   case MAT_IGNORE_OFF_PROC_ENTRIES:
1340   case MAT_USE_HASH_TABLE:
1341     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1342     break;
1343   case MAT_SYMMETRIC:
1344   case MAT_STRUCTURALLY_SYMMETRIC:
1345   case MAT_HERMITIAN:
1346   case MAT_SYMMETRY_ETERNAL:
1347     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1348     break;
1349   default:
1350     SETERRQ1(PETSC_ERR_SUP,"unknown option %d",op);
1351   }
1352   PetscFunctionReturn(0);
1353 }
1354 
1355 #undef __FUNCT__
1356 #define __FUNCT__ "MatGetRow_SeqBAIJ"
1357 PetscErrorCode MatGetRow_SeqBAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1358 {
1359   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1360   PetscErrorCode ierr;
1361   PetscInt       itmp,i,j,k,M,*ai,*aj,bs,bn,bp,*idx_i,bs2;
1362   MatScalar      *aa,*aa_i;
1363   PetscScalar    *v_i;
1364 
1365   PetscFunctionBegin;
1366   bs  = A->rmap->bs;
1367   ai  = a->i;
1368   aj  = a->j;
1369   aa  = a->a;
1370   bs2 = a->bs2;
1371 
1372   if (row < 0 || row >= A->rmap->N) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Row %D out of range", row);
1373 
1374   bn  = row/bs;   /* Block number */
1375   bp  = row % bs; /* Block Position */
1376   M   = ai[bn+1] - ai[bn];
1377   *nz = bs*M;
1378 
1379   if (v) {
1380     *v = 0;
1381     if (*nz) {
1382       ierr = PetscMalloc((*nz)*sizeof(PetscScalar),v);CHKERRQ(ierr);
1383       for (i=0; i<M; i++) { /* for each block in the block row */
1384         v_i  = *v + i*bs;
1385         aa_i = aa + bs2*(ai[bn] + i);
1386         for (j=bp,k=0; j<bs2; j+=bs,k++) {v_i[k] = aa_i[j];}
1387       }
1388     }
1389   }
1390 
1391   if (idx) {
1392     *idx = 0;
1393     if (*nz) {
1394       ierr = PetscMalloc((*nz)*sizeof(PetscInt),idx);CHKERRQ(ierr);
1395       for (i=0; i<M; i++) { /* for each block in the block row */
1396         idx_i = *idx + i*bs;
1397         itmp  = bs*aj[ai[bn] + i];
1398         for (j=0; j<bs; j++) {idx_i[j] = itmp++;}
1399       }
1400     }
1401   }
1402   PetscFunctionReturn(0);
1403 }
1404 
1405 #undef __FUNCT__
1406 #define __FUNCT__ "MatRestoreRow_SeqBAIJ"
1407 PetscErrorCode MatRestoreRow_SeqBAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1408 {
1409   PetscErrorCode ierr;
1410 
1411   PetscFunctionBegin;
1412   if (idx) {ierr = PetscFree(*idx);CHKERRQ(ierr);}
1413   if (v)   {ierr = PetscFree(*v);CHKERRQ(ierr);}
1414   PetscFunctionReturn(0);
1415 }
1416 
1417 #undef __FUNCT__
1418 #define __FUNCT__ "MatTranspose_SeqBAIJ"
1419 PetscErrorCode MatTranspose_SeqBAIJ(Mat A,MatReuse reuse,Mat *B)
1420 {
1421   Mat_SeqBAIJ    *a=(Mat_SeqBAIJ *)A->data;
1422   Mat            C;
1423   PetscErrorCode ierr;
1424   PetscInt       i,j,k,*aj=a->j,*ai=a->i,bs=A->rmap->bs,mbs=a->mbs,nbs=a->nbs,len,*col;
1425   PetscInt       *rows,*cols,bs2=a->bs2;
1426   MatScalar      *array;
1427 
1428   PetscFunctionBegin;
1429   if (reuse == MAT_REUSE_MATRIX && A == *B && mbs != nbs) SETERRQ(PETSC_ERR_ARG_SIZ,"Square matrix only for in-place");
1430   if (reuse == MAT_INITIAL_MATRIX || A == *B) {
1431     ierr = PetscMalloc((1+nbs)*sizeof(PetscInt),&col);CHKERRQ(ierr);
1432     ierr = PetscMemzero(col,(1+nbs)*sizeof(PetscInt));CHKERRQ(ierr);
1433 
1434     for (i=0; i<ai[mbs]; i++) col[aj[i]] += 1;
1435     ierr = MatCreate(((PetscObject)A)->comm,&C);CHKERRQ(ierr);
1436     ierr = MatSetSizes(C,A->cmap->n,A->rmap->N,A->cmap->n,A->rmap->N);CHKERRQ(ierr);
1437     ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
1438     ierr = MatSeqBAIJSetPreallocation_SeqBAIJ(C,bs,PETSC_NULL,col);CHKERRQ(ierr);
1439     ierr = PetscFree(col);CHKERRQ(ierr);
1440   } else {
1441     C = *B;
1442   }
1443 
1444   array = a->a;
1445   ierr = PetscMalloc(2*bs*sizeof(PetscInt),&rows);CHKERRQ(ierr);
1446   cols = rows + bs;
1447   for (i=0; i<mbs; i++) {
1448     cols[0] = i*bs;
1449     for (k=1; k<bs; k++) cols[k] = cols[k-1] + 1;
1450     len = ai[i+1] - ai[i];
1451     for (j=0; j<len; j++) {
1452       rows[0] = (*aj++)*bs;
1453       for (k=1; k<bs; k++) rows[k] = rows[k-1] + 1;
1454       ierr = MatSetValues(C,bs,rows,bs,cols,array,INSERT_VALUES);CHKERRQ(ierr);
1455       array += bs2;
1456     }
1457   }
1458   ierr = PetscFree(rows);CHKERRQ(ierr);
1459 
1460   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1461   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1462 
1463   if (reuse == MAT_INITIAL_MATRIX || *B != A) {
1464     *B = C;
1465   } else {
1466     ierr = MatHeaderCopy(A,C);CHKERRQ(ierr);
1467   }
1468   PetscFunctionReturn(0);
1469 }
1470 
1471 #undef __FUNCT__
1472 #define __FUNCT__ "MatView_SeqBAIJ_Binary"
1473 static PetscErrorCode MatView_SeqBAIJ_Binary(Mat A,PetscViewer viewer)
1474 {
1475   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1476   PetscErrorCode ierr;
1477   PetscInt       i,*col_lens,bs = A->rmap->bs,count,*jj,j,k,l,bs2=a->bs2;
1478   int            fd;
1479   PetscScalar    *aa;
1480   FILE           *file;
1481 
1482   PetscFunctionBegin;
1483   ierr        = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
1484   ierr        = PetscMalloc((4+A->rmap->N)*sizeof(PetscInt),&col_lens);CHKERRQ(ierr);
1485   col_lens[0] = MAT_FILE_COOKIE;
1486 
1487   col_lens[1] = A->rmap->N;
1488   col_lens[2] = A->cmap->n;
1489   col_lens[3] = a->nz*bs2;
1490 
1491   /* store lengths of each row and write (including header) to file */
1492   count = 0;
1493   for (i=0; i<a->mbs; i++) {
1494     for (j=0; j<bs; j++) {
1495       col_lens[4+count++] = bs*(a->i[i+1] - a->i[i]);
1496     }
1497   }
1498   ierr = PetscBinaryWrite(fd,col_lens,4+A->rmap->N,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1499   ierr = PetscFree(col_lens);CHKERRQ(ierr);
1500 
1501   /* store column indices (zero start index) */
1502   ierr  = PetscMalloc((a->nz+1)*bs2*sizeof(PetscInt),&jj);CHKERRQ(ierr);
1503   count = 0;
1504   for (i=0; i<a->mbs; i++) {
1505     for (j=0; j<bs; j++) {
1506       for (k=a->i[i]; k<a->i[i+1]; k++) {
1507         for (l=0; l<bs; l++) {
1508           jj[count++] = bs*a->j[k] + l;
1509         }
1510       }
1511     }
1512   }
1513   ierr = PetscBinaryWrite(fd,jj,bs2*a->nz,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
1514   ierr = PetscFree(jj);CHKERRQ(ierr);
1515 
1516   /* store nonzero values */
1517   ierr  = PetscMalloc((a->nz+1)*bs2*sizeof(PetscScalar),&aa);CHKERRQ(ierr);
1518   count = 0;
1519   for (i=0; i<a->mbs; i++) {
1520     for (j=0; j<bs; j++) {
1521       for (k=a->i[i]; k<a->i[i+1]; k++) {
1522         for (l=0; l<bs; l++) {
1523           aa[count++] = a->a[bs2*k + l*bs + j];
1524         }
1525       }
1526     }
1527   }
1528   ierr = PetscBinaryWrite(fd,aa,bs2*a->nz,PETSC_SCALAR,PETSC_FALSE);CHKERRQ(ierr);
1529   ierr = PetscFree(aa);CHKERRQ(ierr);
1530 
1531   ierr = PetscViewerBinaryGetInfoPointer(viewer,&file);CHKERRQ(ierr);
1532   if (file) {
1533     fprintf(file,"-matload_block_size %d\n",(int)A->rmap->bs);
1534   }
1535   PetscFunctionReturn(0);
1536 }
1537 
1538 #undef __FUNCT__
1539 #define __FUNCT__ "MatView_SeqBAIJ_ASCII"
1540 static PetscErrorCode MatView_SeqBAIJ_ASCII(Mat A,PetscViewer viewer)
1541 {
1542   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
1543   PetscErrorCode    ierr;
1544   PetscInt          i,j,bs = A->rmap->bs,k,l,bs2=a->bs2;
1545   PetscViewerFormat format;
1546 
1547   PetscFunctionBegin;
1548   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1549   if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
1550     ierr = PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);CHKERRQ(ierr);
1551   } else if (format == PETSC_VIEWER_ASCII_MATLAB) {
1552     Mat aij;
1553     ierr = MatConvert(A,MATSEQAIJ,MAT_INITIAL_MATRIX,&aij);CHKERRQ(ierr);
1554     ierr = MatView(aij,viewer);CHKERRQ(ierr);
1555     ierr = MatDestroy(aij);CHKERRQ(ierr);
1556   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
1557      PetscFunctionReturn(0);
1558   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
1559     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
1560     for (i=0; i<a->mbs; i++) {
1561       for (j=0; j<bs; j++) {
1562         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i*bs+j);CHKERRQ(ierr);
1563         for (k=a->i[i]; k<a->i[i+1]; k++) {
1564           for (l=0; l<bs; l++) {
1565 #if defined(PETSC_USE_COMPLEX)
1566             if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) > 0.0 && PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
1567               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %Gi) ",bs*a->j[k]+l,
1568                       PetscRealPart(a->a[bs2*k + l*bs + j]),PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1569             } else if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) < 0.0 && PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
1570               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %Gi) ",bs*a->j[k]+l,
1571                       PetscRealPart(a->a[bs2*k + l*bs + j]),-PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1572             } else if (PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
1573               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,PetscRealPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1574             }
1575 #else
1576             if (a->a[bs2*k + l*bs + j] != 0.0) {
1577               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,a->a[bs2*k + l*bs + j]);CHKERRQ(ierr);
1578             }
1579 #endif
1580           }
1581         }
1582         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
1583       }
1584     }
1585     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
1586   } else {
1587     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
1588     for (i=0; i<a->mbs; i++) {
1589       for (j=0; j<bs; j++) {
1590         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i*bs+j);CHKERRQ(ierr);
1591         for (k=a->i[i]; k<a->i[i+1]; k++) {
1592           for (l=0; l<bs; l++) {
1593 #if defined(PETSC_USE_COMPLEX)
1594             if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) > 0.0) {
1595               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %G i) ",bs*a->j[k]+l,
1596                 PetscRealPart(a->a[bs2*k + l*bs + j]),PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1597             } else if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) < 0.0) {
1598               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %G i) ",bs*a->j[k]+l,
1599                 PetscRealPart(a->a[bs2*k + l*bs + j]),-PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1600             } else {
1601               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,PetscRealPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1602             }
1603 #else
1604             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,a->a[bs2*k + l*bs + j]);CHKERRQ(ierr);
1605 #endif
1606           }
1607         }
1608         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
1609       }
1610     }
1611     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
1612   }
1613   ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1614   PetscFunctionReturn(0);
1615 }
1616 
1617 #undef __FUNCT__
1618 #define __FUNCT__ "MatView_SeqBAIJ_Draw_Zoom"
1619 static PetscErrorCode MatView_SeqBAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
1620 {
1621   Mat            A = (Mat) Aa;
1622   Mat_SeqBAIJ    *a=(Mat_SeqBAIJ*)A->data;
1623   PetscErrorCode ierr;
1624   PetscInt       row,i,j,k,l,mbs=a->mbs,color,bs=A->rmap->bs,bs2=a->bs2;
1625   PetscReal      xl,yl,xr,yr,x_l,x_r,y_l,y_r;
1626   MatScalar      *aa;
1627   PetscViewer    viewer;
1628 
1629   PetscFunctionBegin;
1630 
1631   /* still need to add support for contour plot of nonzeros; see MatView_SeqAIJ_Draw_Zoom()*/
1632   ierr = PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer);CHKERRQ(ierr);
1633 
1634   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
1635 
1636   /* loop over matrix elements drawing boxes */
1637   color = PETSC_DRAW_BLUE;
1638   for (i=0,row=0; i<mbs; i++,row+=bs) {
1639     for (j=a->i[i]; j<a->i[i+1]; j++) {
1640       y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1641       x_l = a->j[j]*bs; x_r = x_l + 1.0;
1642       aa = a->a + j*bs2;
1643       for (k=0; k<bs; k++) {
1644         for (l=0; l<bs; l++) {
1645           if (PetscRealPart(*aa++) >=  0.) continue;
1646           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
1647         }
1648       }
1649     }
1650   }
1651   color = PETSC_DRAW_CYAN;
1652   for (i=0,row=0; i<mbs; i++,row+=bs) {
1653     for (j=a->i[i]; j<a->i[i+1]; j++) {
1654       y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1655       x_l = a->j[j]*bs; x_r = x_l + 1.0;
1656       aa = a->a + j*bs2;
1657       for (k=0; k<bs; k++) {
1658         for (l=0; l<bs; l++) {
1659           if (PetscRealPart(*aa++) != 0.) continue;
1660           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
1661         }
1662       }
1663     }
1664   }
1665 
1666   color = PETSC_DRAW_RED;
1667   for (i=0,row=0; i<mbs; i++,row+=bs) {
1668     for (j=a->i[i]; j<a->i[i+1]; j++) {
1669       y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1670       x_l = a->j[j]*bs; x_r = x_l + 1.0;
1671       aa = a->a + j*bs2;
1672       for (k=0; k<bs; k++) {
1673         for (l=0; l<bs; l++) {
1674           if (PetscRealPart(*aa++) <= 0.) continue;
1675           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
1676         }
1677       }
1678     }
1679   }
1680   PetscFunctionReturn(0);
1681 }
1682 
1683 #undef __FUNCT__
1684 #define __FUNCT__ "MatView_SeqBAIJ_Draw"
1685 static PetscErrorCode MatView_SeqBAIJ_Draw(Mat A,PetscViewer viewer)
1686 {
1687   PetscErrorCode ierr;
1688   PetscReal      xl,yl,xr,yr,w,h;
1689   PetscDraw      draw;
1690   PetscTruth     isnull;
1691 
1692   PetscFunctionBegin;
1693 
1694   ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1695   ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
1696 
1697   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer);CHKERRQ(ierr);
1698   xr  = A->cmap->n; yr = A->rmap->N; h = yr/10.0; w = xr/10.0;
1699   xr += w;    yr += h;  xl = -w;     yl = -h;
1700   ierr = PetscDrawSetCoordinates(draw,xl,yl,xr,yr);CHKERRQ(ierr);
1701   ierr = PetscDrawZoom(draw,MatView_SeqBAIJ_Draw_Zoom,A);CHKERRQ(ierr);
1702   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",PETSC_NULL);CHKERRQ(ierr);
1703   PetscFunctionReturn(0);
1704 }
1705 
1706 #undef __FUNCT__
1707 #define __FUNCT__ "MatView_SeqBAIJ"
1708 PetscErrorCode MatView_SeqBAIJ(Mat A,PetscViewer viewer)
1709 {
1710   PetscErrorCode ierr;
1711   PetscTruth     iascii,isbinary,isdraw;
1712 
1713   PetscFunctionBegin;
1714   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&iascii);CHKERRQ(ierr);
1715   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_BINARY,&isbinary);CHKERRQ(ierr);
1716   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_DRAW,&isdraw);CHKERRQ(ierr);
1717   if (iascii){
1718     ierr = MatView_SeqBAIJ_ASCII(A,viewer);CHKERRQ(ierr);
1719   } else if (isbinary) {
1720     ierr = MatView_SeqBAIJ_Binary(A,viewer);CHKERRQ(ierr);
1721   } else if (isdraw) {
1722     ierr = MatView_SeqBAIJ_Draw(A,viewer);CHKERRQ(ierr);
1723   } else {
1724     Mat B;
1725     ierr = MatConvert(A,MATSEQAIJ,MAT_INITIAL_MATRIX,&B);CHKERRQ(ierr);
1726     ierr = MatView(B,viewer);CHKERRQ(ierr);
1727     ierr = MatDestroy(B);CHKERRQ(ierr);
1728   }
1729   PetscFunctionReturn(0);
1730 }
1731 
1732 
1733 #undef __FUNCT__
1734 #define __FUNCT__ "MatGetValues_SeqBAIJ"
1735 PetscErrorCode MatGetValues_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],PetscScalar v[])
1736 {
1737   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
1738   PetscInt    *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
1739   PetscInt    *ai = a->i,*ailen = a->ilen;
1740   PetscInt    brow,bcol,ridx,cidx,bs=A->rmap->bs,bs2=a->bs2;
1741   MatScalar   *ap,*aa = a->a;
1742 
1743   PetscFunctionBegin;
1744   for (k=0; k<m; k++) { /* loop over rows */
1745     row  = im[k]; brow = row/bs;
1746     if (row < 0) {v += n; continue;} /* SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Negative row"); */
1747     if (row >= A->rmap->N) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Row %D too large", row);
1748     rp   = aj + ai[brow] ; ap = aa + bs2*ai[brow] ;
1749     nrow = ailen[brow];
1750     for (l=0; l<n; l++) { /* loop over columns */
1751       if (in[l] < 0) {v++; continue;} /* SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Negative column"); */
1752       if (in[l] >= A->cmap->n) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Column %D too large", in[l]);
1753       col  = in[l] ;
1754       bcol = col/bs;
1755       cidx = col%bs;
1756       ridx = row%bs;
1757       high = nrow;
1758       low  = 0; /* assume unsorted */
1759       while (high-low > 5) {
1760         t = (low+high)/2;
1761         if (rp[t] > bcol) high = t;
1762         else             low  = t;
1763       }
1764       for (i=low; i<high; i++) {
1765         if (rp[i] > bcol) break;
1766         if (rp[i] == bcol) {
1767           *v++ = ap[bs2*i+bs*cidx+ridx];
1768           goto finished;
1769         }
1770       }
1771       *v++ = 0.0;
1772       finished:;
1773     }
1774   }
1775   PetscFunctionReturn(0);
1776 }
1777 
1778 #define CHUNKSIZE 10
1779 #undef __FUNCT__
1780 #define __FUNCT__ "MatSetValuesBlocked_SeqBAIJ"
1781 PetscErrorCode MatSetValuesBlocked_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
1782 {
1783   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
1784   PetscInt          *rp,k,low,high,t,ii,jj,row,nrow,i,col,l,rmax,N,lastcol = -1;
1785   PetscInt          *imax=a->imax,*ai=a->i,*ailen=a->ilen;
1786   PetscErrorCode    ierr;
1787   PetscInt          *aj=a->j,nonew=a->nonew,bs2=a->bs2,bs=A->rmap->bs,stepval;
1788   PetscTruth        roworiented=a->roworiented;
1789   const PetscScalar *value = v;
1790   MatScalar         *ap,*aa = a->a,*bap;
1791 
1792   PetscFunctionBegin;
1793   if (roworiented) {
1794     stepval = (n-1)*bs;
1795   } else {
1796     stepval = (m-1)*bs;
1797   }
1798   for (k=0; k<m; k++) { /* loop over added rows */
1799     row  = im[k];
1800     if (row < 0) continue;
1801 #if defined(PETSC_USE_DEBUG)
1802     if (row >= a->mbs) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,a->mbs-1);
1803 #endif
1804     rp   = aj + ai[row];
1805     ap   = aa + bs2*ai[row];
1806     rmax = imax[row];
1807     nrow = ailen[row];
1808     low  = 0;
1809     high = nrow;
1810     for (l=0; l<n; l++) { /* loop over added columns */
1811       if (in[l] < 0) continue;
1812 #if defined(PETSC_USE_DEBUG)
1813       if (in[l] >= a->nbs) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],a->nbs-1);
1814 #endif
1815       col = in[l];
1816       if (roworiented) {
1817         value = v + k*(stepval+bs)*bs + l*bs;
1818       } else {
1819         value = v + l*(stepval+bs)*bs + k*bs;
1820       }
1821       if (col <= lastcol) low = 0; else high = nrow;
1822       lastcol = col;
1823       while (high-low > 7) {
1824         t = (low+high)/2;
1825         if (rp[t] > col) high = t;
1826         else             low  = t;
1827       }
1828       for (i=low; i<high; i++) {
1829         if (rp[i] > col) break;
1830         if (rp[i] == col) {
1831           bap  = ap +  bs2*i;
1832           if (roworiented) {
1833             if (is == ADD_VALUES) {
1834               for (ii=0; ii<bs; ii++,value+=stepval) {
1835                 for (jj=ii; jj<bs2; jj+=bs) {
1836                   bap[jj] += *value++;
1837                 }
1838               }
1839             } else {
1840               for (ii=0; ii<bs; ii++,value+=stepval) {
1841                 for (jj=ii; jj<bs2; jj+=bs) {
1842                   bap[jj] = *value++;
1843                 }
1844               }
1845             }
1846           } else {
1847             if (is == ADD_VALUES) {
1848               for (ii=0; ii<bs; ii++,value+=stepval) {
1849                 for (jj=0; jj<bs; jj++) {
1850                   *bap++ += *value++;
1851                 }
1852               }
1853             } else {
1854               for (ii=0; ii<bs; ii++,value+=stepval) {
1855                 for (jj=0; jj<bs; jj++) {
1856                   *bap++  = *value++;
1857                 }
1858               }
1859             }
1860           }
1861           goto noinsert2;
1862         }
1863       }
1864       if (nonew == 1) goto noinsert2;
1865       if (nonew == -1) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) in the matrix", row, col);
1866       MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
1867       N = nrow++ - 1; high++;
1868       /* shift up all the later entries in this row */
1869       for (ii=N; ii>=i; ii--) {
1870         rp[ii+1] = rp[ii];
1871         ierr = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
1872       }
1873       if (N >= i) {
1874         ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
1875       }
1876       rp[i] = col;
1877       bap   = ap +  bs2*i;
1878       if (roworiented) {
1879         for (ii=0; ii<bs; ii++,value+=stepval) {
1880           for (jj=ii; jj<bs2; jj+=bs) {
1881             bap[jj] = *value++;
1882           }
1883         }
1884       } else {
1885         for (ii=0; ii<bs; ii++,value+=stepval) {
1886           for (jj=0; jj<bs; jj++) {
1887             *bap++  = *value++;
1888           }
1889         }
1890       }
1891       noinsert2:;
1892       low = i;
1893     }
1894     ailen[row] = nrow;
1895   }
1896   PetscFunctionReturn(0);
1897 }
1898 
1899 #undef __FUNCT__
1900 #define __FUNCT__ "MatAssemblyEnd_SeqBAIJ"
1901 PetscErrorCode MatAssemblyEnd_SeqBAIJ(Mat A,MatAssemblyType mode)
1902 {
1903   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1904   PetscInt       fshift = 0,i,j,*ai = a->i,*aj = a->j,*imax = a->imax;
1905   PetscInt       m = A->rmap->N,*ip,N,*ailen = a->ilen;
1906   PetscErrorCode ierr;
1907   PetscInt       mbs = a->mbs,bs2 = a->bs2,rmax = 0;
1908   MatScalar      *aa = a->a,*ap;
1909   PetscReal      ratio=0.6;
1910 
1911   PetscFunctionBegin;
1912   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
1913 
1914   if (m) rmax = ailen[0];
1915   for (i=1; i<mbs; i++) {
1916     /* move each row back by the amount of empty slots (fshift) before it*/
1917     fshift += imax[i-1] - ailen[i-1];
1918     rmax   = PetscMax(rmax,ailen[i]);
1919     if (fshift) {
1920       ip = aj + ai[i]; ap = aa + bs2*ai[i];
1921       N = ailen[i];
1922       for (j=0; j<N; j++) {
1923         ip[j-fshift] = ip[j];
1924         ierr = PetscMemcpy(ap+(j-fshift)*bs2,ap+j*bs2,bs2*sizeof(MatScalar));CHKERRQ(ierr);
1925       }
1926     }
1927     ai[i] = ai[i-1] + ailen[i-1];
1928   }
1929   if (mbs) {
1930     fshift += imax[mbs-1] - ailen[mbs-1];
1931     ai[mbs] = ai[mbs-1] + ailen[mbs-1];
1932   }
1933   /* reset ilen and imax for each row */
1934   for (i=0; i<mbs; i++) {
1935     ailen[i] = imax[i] = ai[i+1] - ai[i];
1936   }
1937   a->nz = ai[mbs];
1938 
1939   /* diagonals may have moved, so kill the diagonal pointers */
1940   a->idiagvalid = PETSC_FALSE;
1941   if (fshift && a->diag) {
1942     ierr = PetscFree(a->diag);CHKERRQ(ierr);
1943     ierr = PetscLogObjectMemory(A,-(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
1944     a->diag = 0;
1945   }
1946   if (fshift && a->nounused == -1) {
1947     SETERRQ4(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);
1948   }
1949   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);
1950   ierr = PetscInfo1(A,"Number of mallocs during MatSetValues is %D\n",a->reallocs);CHKERRQ(ierr);
1951   ierr = PetscInfo1(A,"Most nonzeros blocks in any row is %D\n",rmax);CHKERRQ(ierr);
1952   a->reallocs          = 0;
1953   A->info.nz_unneeded  = (PetscReal)fshift*bs2;
1954 
1955   /* check for zero rows. If found a large number of zero rows, use CompressedRow functions */
1956   if (a->compressedrow.use){
1957     ierr = Mat_CheckCompressedRow(A,&a->compressedrow,a->i,mbs,ratio);CHKERRQ(ierr);
1958   }
1959 
1960   A->same_nonzero = PETSC_TRUE;
1961   PetscFunctionReturn(0);
1962 }
1963 
1964 /*
1965    This function returns an array of flags which indicate the locations of contiguous
1966    blocks that should be zeroed. for eg: if bs = 3  and is = [0,1,2,3,5,6,7,8,9]
1967    then the resulting sizes = [3,1,1,3,1] correspondig to sets [(0,1,2),(3),(5),(6,7,8),(9)]
1968    Assume: sizes should be long enough to hold all the values.
1969 */
1970 #undef __FUNCT__
1971 #define __FUNCT__ "MatZeroRows_SeqBAIJ_Check_Blocks"
1972 static PetscErrorCode MatZeroRows_SeqBAIJ_Check_Blocks(PetscInt idx[],PetscInt n,PetscInt bs,PetscInt sizes[], PetscInt *bs_max)
1973 {
1974   PetscInt   i,j,k,row;
1975   PetscTruth flg;
1976 
1977   PetscFunctionBegin;
1978   for (i=0,j=0; i<n; j++) {
1979     row = idx[i];
1980     if (row%bs!=0) { /* Not the begining of a block */
1981       sizes[j] = 1;
1982       i++;
1983     } else if (i+bs > n) { /* complete block doesn't exist (at idx end) */
1984       sizes[j] = 1;         /* Also makes sure atleast 'bs' values exist for next else */
1985       i++;
1986     } else { /* Begining of the block, so check if the complete block exists */
1987       flg = PETSC_TRUE;
1988       for (k=1; k<bs; k++) {
1989         if (row+k != idx[i+k]) { /* break in the block */
1990           flg = PETSC_FALSE;
1991           break;
1992         }
1993       }
1994       if (flg) { /* No break in the bs */
1995         sizes[j] = bs;
1996         i+= bs;
1997       } else {
1998         sizes[j] = 1;
1999         i++;
2000       }
2001     }
2002   }
2003   *bs_max = j;
2004   PetscFunctionReturn(0);
2005 }
2006 
2007 #undef __FUNCT__
2008 #define __FUNCT__ "MatZeroRows_SeqBAIJ"
2009 PetscErrorCode MatZeroRows_SeqBAIJ(Mat A,PetscInt is_n,const PetscInt is_idx[],PetscScalar diag)
2010 {
2011   Mat_SeqBAIJ    *baij=(Mat_SeqBAIJ*)A->data;
2012   PetscErrorCode ierr;
2013   PetscInt       i,j,k,count,*rows;
2014   PetscInt       bs=A->rmap->bs,bs2=baij->bs2,*sizes,row,bs_max;
2015   PetscScalar    zero = 0.0;
2016   MatScalar      *aa;
2017 
2018   PetscFunctionBegin;
2019   /* Make a copy of the IS and  sort it */
2020   /* allocate memory for rows,sizes */
2021   ierr  = PetscMalloc((3*is_n+1)*sizeof(PetscInt),&rows);CHKERRQ(ierr);
2022   sizes = rows + is_n;
2023 
2024   /* copy IS values to rows, and sort them */
2025   for (i=0; i<is_n; i++) { rows[i] = is_idx[i]; }
2026   ierr = PetscSortInt(is_n,rows);CHKERRQ(ierr);
2027   if (baij->keepnonzeropattern) {
2028     for (i=0; i<is_n; i++) { sizes[i] = 1; }
2029     bs_max = is_n;
2030     A->same_nonzero = PETSC_TRUE;
2031   } else {
2032     ierr = MatZeroRows_SeqBAIJ_Check_Blocks(rows,is_n,bs,sizes,&bs_max);CHKERRQ(ierr);
2033     A->same_nonzero = PETSC_FALSE;
2034   }
2035 
2036   for (i=0,j=0; i<bs_max; j+=sizes[i],i++) {
2037     row   = rows[j];
2038     if (row < 0 || row > A->rmap->N) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range",row);
2039     count = (baij->i[row/bs +1] - baij->i[row/bs])*bs;
2040     aa    = ((MatScalar*)(baij->a)) + baij->i[row/bs]*bs2 + (row%bs);
2041     if (sizes[i] == bs && !baij->keepnonzeropattern) {
2042       if (diag != 0.0) {
2043         if (baij->ilen[row/bs] > 0) {
2044           baij->ilen[row/bs]       = 1;
2045           baij->j[baij->i[row/bs]] = row/bs;
2046           ierr = PetscMemzero(aa,count*bs*sizeof(MatScalar));CHKERRQ(ierr);
2047         }
2048         /* Now insert all the diagonal values for this bs */
2049         for (k=0; k<bs; k++) {
2050           ierr = (*A->ops->setvalues)(A,1,rows+j+k,1,rows+j+k,&diag,INSERT_VALUES);CHKERRQ(ierr);
2051         }
2052       } else { /* (diag == 0.0) */
2053         baij->ilen[row/bs] = 0;
2054       } /* end (diag == 0.0) */
2055     } else { /* (sizes[i] != bs) */
2056 #if defined (PETSC_USE_DEBUG)
2057       if (sizes[i] != 1) SETERRQ(PETSC_ERR_PLIB,"Internal Error. Value should be 1");
2058 #endif
2059       for (k=0; k<count; k++) {
2060         aa[0] =  zero;
2061         aa    += bs;
2062       }
2063       if (diag != 0.0) {
2064         ierr = (*A->ops->setvalues)(A,1,rows+j,1,rows+j,&diag,INSERT_VALUES);CHKERRQ(ierr);
2065       }
2066     }
2067   }
2068 
2069   ierr = PetscFree(rows);CHKERRQ(ierr);
2070   ierr = MatAssemblyEnd_SeqBAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2071   PetscFunctionReturn(0);
2072 }
2073 
2074 #undef __FUNCT__
2075 #define __FUNCT__ "MatSetValues_SeqBAIJ"
2076 PetscErrorCode MatSetValues_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
2077 {
2078   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2079   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N,lastcol = -1;
2080   PetscInt       *imax=a->imax,*ai=a->i,*ailen=a->ilen;
2081   PetscInt       *aj=a->j,nonew=a->nonew,bs=A->rmap->bs,brow,bcol;
2082   PetscErrorCode ierr;
2083   PetscInt       ridx,cidx,bs2=a->bs2;
2084   PetscTruth     roworiented=a->roworiented;
2085   MatScalar      *ap,value,*aa=a->a,*bap;
2086 
2087   PetscFunctionBegin;
2088   for (k=0; k<m; k++) { /* loop over added rows */
2089     row  = im[k];
2090     brow = row/bs;
2091     if (row < 0) continue;
2092 #if defined(PETSC_USE_DEBUG)
2093     if (row >= A->rmap->N) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,A->rmap->N-1);
2094 #endif
2095     rp   = aj + ai[brow];
2096     ap   = aa + bs2*ai[brow];
2097     rmax = imax[brow];
2098     nrow = ailen[brow];
2099     low  = 0;
2100     high = nrow;
2101     for (l=0; l<n; l++) { /* loop over added columns */
2102       if (in[l] < 0) continue;
2103 #if defined(PETSC_USE_DEBUG)
2104       if (in[l] >= A->cmap->n) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],A->cmap->n-1);
2105 #endif
2106       col = in[l]; bcol = col/bs;
2107       ridx = row % bs; cidx = col % bs;
2108       if (roworiented) {
2109         value = v[l + k*n];
2110       } else {
2111         value = v[k + l*m];
2112       }
2113       if (col <= lastcol) low = 0; else high = nrow;
2114       lastcol = col;
2115       while (high-low > 7) {
2116         t = (low+high)/2;
2117         if (rp[t] > bcol) high = t;
2118         else              low  = t;
2119       }
2120       for (i=low; i<high; i++) {
2121         if (rp[i] > bcol) break;
2122         if (rp[i] == bcol) {
2123           bap  = ap +  bs2*i + bs*cidx + ridx;
2124           if (is == ADD_VALUES) *bap += value;
2125           else                  *bap  = value;
2126           goto noinsert1;
2127         }
2128       }
2129       if (nonew == 1) goto noinsert1;
2130       if (nonew == -1) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) in the matrix", row, col);
2131       MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
2132       N = nrow++ - 1; high++;
2133       /* shift up all the later entries in this row */
2134       for (ii=N; ii>=i; ii--) {
2135         rp[ii+1] = rp[ii];
2136         ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
2137       }
2138       if (N>=i) {
2139         ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
2140       }
2141       rp[i]                      = bcol;
2142       ap[bs2*i + bs*cidx + ridx] = value;
2143       a->nz++;
2144       noinsert1:;
2145       low = i;
2146     }
2147     ailen[brow] = nrow;
2148   }
2149   A->same_nonzero = PETSC_FALSE;
2150   PetscFunctionReturn(0);
2151 }
2152 
2153 EXTERN PetscErrorCode MatSeqBAIJSetNumericFactorization(Mat,PetscTruth);
2154 
2155 #undef __FUNCT__
2156 #define __FUNCT__ "MatILUFactor_SeqBAIJ"
2157 PetscErrorCode MatILUFactor_SeqBAIJ(Mat inA,IS row,IS col,const MatFactorInfo *info)
2158 {
2159   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)inA->data;
2160   Mat            outA;
2161   PetscErrorCode ierr;
2162   PetscTruth     row_identity,col_identity;
2163 
2164   PetscFunctionBegin;
2165   if (info->levels != 0) SETERRQ(PETSC_ERR_SUP,"Only levels = 0 supported for in-place ILU");
2166   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
2167   ierr = ISIdentity(col,&col_identity);CHKERRQ(ierr);
2168   if (!row_identity || !col_identity) {
2169     SETERRQ(PETSC_ERR_ARG_WRONG,"Row and column permutations must be identity for in-place ILU");
2170   }
2171 
2172   outA          = inA;
2173   inA->factor   = MAT_FACTOR_LU;
2174 
2175   ierr = MatMarkDiagonal_SeqBAIJ(inA);CHKERRQ(ierr);
2176 
2177   ierr = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
2178   if (a->row) { ierr = ISDestroy(a->row);CHKERRQ(ierr); }
2179   a->row = row;
2180   ierr = PetscObjectReference((PetscObject)col);CHKERRQ(ierr);
2181   if (a->col) { ierr = ISDestroy(a->col);CHKERRQ(ierr); }
2182   a->col = col;
2183 
2184   /* Create the invert permutation so that it can be used in MatLUFactorNumeric() */
2185   if (a->icol) {
2186     ierr = ISDestroy(a->icol);CHKERRQ(ierr);
2187   }
2188   ierr = ISInvertPermutation(col,PETSC_DECIDE,&a->icol);CHKERRQ(ierr);
2189   ierr = PetscLogObjectParent(inA,a->icol);CHKERRQ(ierr);
2190 
2191   ierr = MatSeqBAIJSetNumericFactorization(inA,(PetscTruth)(row_identity && col_identity));CHKERRQ(ierr);
2192   if (!a->solve_work) {
2193     ierr = PetscMalloc((inA->rmap->N+inA->rmap->bs)*sizeof(PetscScalar),&a->solve_work);CHKERRQ(ierr);
2194     ierr = PetscLogObjectMemory(inA,(inA->rmap->N+inA->rmap->bs)*sizeof(PetscScalar));CHKERRQ(ierr);
2195   }
2196   ierr = MatLUFactorNumeric(outA,inA,info);CHKERRQ(ierr);
2197 
2198   PetscFunctionReturn(0);
2199 }
2200 
2201 EXTERN_C_BEGIN
2202 #undef __FUNCT__
2203 #define __FUNCT__ "MatSeqBAIJSetColumnIndices_SeqBAIJ"
2204 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetColumnIndices_SeqBAIJ(Mat mat,PetscInt *indices)
2205 {
2206   Mat_SeqBAIJ *baij = (Mat_SeqBAIJ *)mat->data;
2207   PetscInt    i,nz,mbs;
2208 
2209   PetscFunctionBegin;
2210   nz  = baij->maxnz/baij->bs2;
2211   mbs = baij->mbs;
2212   for (i=0; i<nz; i++) {
2213     baij->j[i] = indices[i];
2214   }
2215   baij->nz = nz;
2216   for (i=0; i<mbs; i++) {
2217     baij->ilen[i] = baij->imax[i];
2218   }
2219   PetscFunctionReturn(0);
2220 }
2221 EXTERN_C_END
2222 
2223 #undef __FUNCT__
2224 #define __FUNCT__ "MatSeqBAIJSetColumnIndices"
2225 /*@
2226     MatSeqBAIJSetColumnIndices - Set the column indices for all the rows
2227        in the matrix.
2228 
2229   Input Parameters:
2230 +  mat - the SeqBAIJ matrix
2231 -  indices - the column indices
2232 
2233   Level: advanced
2234 
2235   Notes:
2236     This can be called if you have precomputed the nonzero structure of the
2237   matrix and want to provide it to the matrix object to improve the performance
2238   of the MatSetValues() operation.
2239 
2240     You MUST have set the correct numbers of nonzeros per row in the call to
2241   MatCreateSeqBAIJ(), and the columns indices MUST be sorted.
2242 
2243     MUST be called before any calls to MatSetValues();
2244 
2245 @*/
2246 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetColumnIndices(Mat mat,PetscInt *indices)
2247 {
2248   PetscErrorCode ierr,(*f)(Mat,PetscInt *);
2249 
2250   PetscFunctionBegin;
2251   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2252   PetscValidPointer(indices,2);
2253   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatSeqBAIJSetColumnIndices_C",(void (**)(void))&f);CHKERRQ(ierr);
2254   if (f) {
2255     ierr = (*f)(mat,indices);CHKERRQ(ierr);
2256   } else {
2257     SETERRQ(PETSC_ERR_ARG_WRONG,"Wrong type of matrix to set column indices");
2258   }
2259   PetscFunctionReturn(0);
2260 }
2261 
2262 #undef __FUNCT__
2263 #define __FUNCT__ "MatGetRowMaxAbs_SeqBAIJ"
2264 PetscErrorCode MatGetRowMaxAbs_SeqBAIJ(Mat A,Vec v,PetscInt idx[])
2265 {
2266   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2267   PetscErrorCode ierr;
2268   PetscInt       i,j,n,row,bs,*ai,*aj,mbs;
2269   PetscReal      atmp;
2270   PetscScalar    *x,zero = 0.0;
2271   MatScalar      *aa;
2272   PetscInt       ncols,brow,krow,kcol;
2273 
2274   PetscFunctionBegin;
2275   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2276   bs   = A->rmap->bs;
2277   aa   = a->a;
2278   ai   = a->i;
2279   aj   = a->j;
2280   mbs  = a->mbs;
2281 
2282   ierr = VecSet(v,zero);CHKERRQ(ierr);
2283   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2284   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2285   if (n != A->rmap->N) SETERRQ(PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2286   for (i=0; i<mbs; i++) {
2287     ncols = ai[1] - ai[0]; ai++;
2288     brow  = bs*i;
2289     for (j=0; j<ncols; j++){
2290       for (kcol=0; kcol<bs; kcol++){
2291         for (krow=0; krow<bs; krow++){
2292           atmp = PetscAbsScalar(*aa);aa++;
2293           row = brow + krow;    /* row index */
2294           /* printf("val[%d,%d]: %G\n",row,bcol+kcol,atmp); */
2295           if (PetscAbsScalar(x[row]) < atmp) {x[row] = atmp; if (idx) idx[row] = bs*(*aj) + kcol;}
2296         }
2297       }
2298       aj++;
2299     }
2300   }
2301   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2302   PetscFunctionReturn(0);
2303 }
2304 
2305 #undef __FUNCT__
2306 #define __FUNCT__ "MatCopy_SeqBAIJ"
2307 PetscErrorCode MatCopy_SeqBAIJ(Mat A,Mat B,MatStructure str)
2308 {
2309   PetscErrorCode ierr;
2310 
2311   PetscFunctionBegin;
2312   /* If the two matrices have the same copy implementation, use fast copy. */
2313   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
2314     Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
2315     Mat_SeqBAIJ *b = (Mat_SeqBAIJ*)B->data;
2316 
2317     if (a->i[A->rmap->N] != b->i[B->rmap->N]) {
2318       SETERRQ(PETSC_ERR_ARG_INCOMP,"Number of nonzeros in two matrices are different");
2319     }
2320     ierr = PetscMemcpy(b->a,a->a,(a->i[A->rmap->N])*sizeof(PetscScalar));CHKERRQ(ierr);
2321   } else {
2322     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
2323   }
2324   PetscFunctionReturn(0);
2325 }
2326 
2327 #undef __FUNCT__
2328 #define __FUNCT__ "MatSetUpPreallocation_SeqBAIJ"
2329 PetscErrorCode MatSetUpPreallocation_SeqBAIJ(Mat A)
2330 {
2331   PetscErrorCode ierr;
2332 
2333   PetscFunctionBegin;
2334   ierr =  MatSeqBAIJSetPreallocation_SeqBAIJ(A,-PetscMax(A->rmap->bs,1),PETSC_DEFAULT,0);CHKERRQ(ierr);
2335   PetscFunctionReturn(0);
2336 }
2337 
2338 #undef __FUNCT__
2339 #define __FUNCT__ "MatGetArray_SeqBAIJ"
2340 PetscErrorCode MatGetArray_SeqBAIJ(Mat A,PetscScalar *array[])
2341 {
2342   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
2343   PetscFunctionBegin;
2344   *array = a->a;
2345   PetscFunctionReturn(0);
2346 }
2347 
2348 #undef __FUNCT__
2349 #define __FUNCT__ "MatRestoreArray_SeqBAIJ"
2350 PetscErrorCode MatRestoreArray_SeqBAIJ(Mat A,PetscScalar *array[])
2351 {
2352   PetscFunctionBegin;
2353   PetscFunctionReturn(0);
2354 }
2355 
2356 #include "petscblaslapack.h"
2357 #undef __FUNCT__
2358 #define __FUNCT__ "MatAXPY_SeqBAIJ"
2359 PetscErrorCode MatAXPY_SeqBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
2360 {
2361   Mat_SeqBAIJ    *x  = (Mat_SeqBAIJ *)X->data,*y = (Mat_SeqBAIJ *)Y->data;
2362   PetscErrorCode ierr;
2363   PetscInt       i,bs=Y->rmap->bs,j,bs2;
2364   PetscBLASInt   one=1,bnz = PetscBLASIntCast(x->nz);
2365 
2366   PetscFunctionBegin;
2367   if (str == SAME_NONZERO_PATTERN) {
2368     PetscScalar alpha = a;
2369     BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one);
2370   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
2371     if (y->xtoy && y->XtoY != X) {
2372       ierr = PetscFree(y->xtoy);CHKERRQ(ierr);
2373       ierr = MatDestroy(y->XtoY);CHKERRQ(ierr);
2374     }
2375     if (!y->xtoy) { /* get xtoy */
2376       ierr = MatAXPYGetxtoy_Private(x->mbs,x->i,x->j,PETSC_NULL, y->i,y->j,PETSC_NULL, &y->xtoy);CHKERRQ(ierr);
2377       y->XtoY = X;
2378       ierr = PetscObjectReference((PetscObject)X);CHKERRQ(ierr);
2379     }
2380     bs2 = bs*bs;
2381     for (i=0; i<x->nz; i++) {
2382       j = 0;
2383       while (j < bs2){
2384         y->a[bs2*y->xtoy[i]+j] += a*(x->a[bs2*i+j]);
2385         j++;
2386       }
2387     }
2388     ierr = PetscInfo3(Y,"ratio of nnz(X)/nnz(Y): %D/%D = %G\n",bs2*x->nz,bs2*y->nz,(PetscReal)(bs2*x->nz)/(bs2*y->nz));CHKERRQ(ierr);
2389   } else {
2390     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
2391   }
2392   PetscFunctionReturn(0);
2393 }
2394 
2395 #undef __FUNCT__
2396 #define __FUNCT__ "MatRealPart_SeqBAIJ"
2397 PetscErrorCode MatRealPart_SeqBAIJ(Mat A)
2398 {
2399   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2400   PetscInt       i,nz = a->bs2*a->i[a->mbs];
2401   MatScalar      *aa = a->a;
2402 
2403   PetscFunctionBegin;
2404   for (i=0; i<nz; i++) aa[i] = PetscRealPart(aa[i]);
2405   PetscFunctionReturn(0);
2406 }
2407 
2408 #undef __FUNCT__
2409 #define __FUNCT__ "MatImaginaryPart_SeqBAIJ"
2410 PetscErrorCode MatImaginaryPart_SeqBAIJ(Mat A)
2411 {
2412   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2413   PetscInt       i,nz = a->bs2*a->i[a->mbs];
2414   MatScalar      *aa = a->a;
2415 
2416   PetscFunctionBegin;
2417   for (i=0; i<nz; i++) aa[i] = PetscImaginaryPart(aa[i]);
2418   PetscFunctionReturn(0);
2419 }
2420 
2421 extern PetscErrorCode MatFDColoringCreate_SeqAIJ(Mat,ISColoring,MatFDColoring);
2422 
2423 #undef __FUNCT__
2424 #define __FUNCT__ "MatGetColumnIJ_SeqBAIJ"
2425 /*
2426     Code almost idential to MatGetColumnIJ_SeqAIJ() should share common code
2427 */
2428 PetscErrorCode MatGetColumnIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscTruth inodecompressed,PetscInt *nn,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
2429 {
2430   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2431   PetscErrorCode ierr;
2432   PetscInt       bs = A->rmap->bs,i,*collengths,*cia,*cja,n = A->cmap->n/bs,m = A->rmap->n/bs;
2433   PetscInt       nz = a->i[m],row,*jj,mr,col;
2434 
2435   PetscFunctionBegin;
2436   *nn = n;
2437   if (!ia) PetscFunctionReturn(0);
2438   if (symmetric) {
2439     SETERRQ(PETSC_ERR_SUP,"Not for BAIJ matrices");
2440   } else {
2441     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&collengths);CHKERRQ(ierr);
2442     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
2443     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&cia);CHKERRQ(ierr);
2444     ierr = PetscMalloc((nz+1)*sizeof(PetscInt),&cja);CHKERRQ(ierr);
2445     jj = a->j;
2446     for (i=0; i<nz; i++) {
2447       collengths[jj[i]]++;
2448     }
2449     cia[0] = oshift;
2450     for (i=0; i<n; i++) {
2451       cia[i+1] = cia[i] + collengths[i];
2452     }
2453     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
2454     jj   = a->j;
2455     for (row=0; row<m; row++) {
2456       mr = a->i[row+1] - a->i[row];
2457       for (i=0; i<mr; i++) {
2458         col = *jj++;
2459         cja[cia[col] + collengths[col]++ - oshift] = row + oshift;
2460       }
2461     }
2462     ierr = PetscFree(collengths);CHKERRQ(ierr);
2463     *ia = cia; *ja = cja;
2464   }
2465   PetscFunctionReturn(0);
2466 }
2467 
2468 #undef __FUNCT__
2469 #define __FUNCT__ "MatRestoreColumnIJ_SeqBAIJ"
2470 PetscErrorCode MatRestoreColumnIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscTruth inodecompressed,PetscInt *n,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
2471 {
2472   PetscErrorCode ierr;
2473 
2474   PetscFunctionBegin;
2475   if (!ia) PetscFunctionReturn(0);
2476   ierr = PetscFree(*ia);CHKERRQ(ierr);
2477   ierr = PetscFree(*ja);CHKERRQ(ierr);
2478   PetscFunctionReturn(0);
2479 }
2480 
2481 #undef __FUNCT__
2482 #define __FUNCT__ "MatFDColoringApply_BAIJ"
2483 PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringApply_BAIJ(Mat J,MatFDColoring coloring,Vec x1,MatStructure *flag,void *sctx)
2484 {
2485   PetscErrorCode (*f)(void*,Vec,Vec,void*) = (PetscErrorCode (*)(void*,Vec,Vec,void *))coloring->f;
2486   PetscErrorCode ierr;
2487   PetscInt       bs = J->rmap->bs,i,j,k,start,end,l,row,col,*srows,**vscaleforrow,m1,m2;
2488   PetscScalar    dx,*y,*xx,*w3_array;
2489   PetscScalar    *vscale_array;
2490   PetscReal      epsilon = coloring->error_rel,umin = coloring->umin,unorm;
2491   Vec            w1=coloring->w1,w2=coloring->w2,w3;
2492   void           *fctx = coloring->fctx;
2493   PetscTruth     flg = PETSC_FALSE;
2494   PetscInt       ctype=coloring->ctype,N,col_start=0,col_end=0;
2495   Vec            x1_tmp;
2496 
2497   PetscFunctionBegin;
2498   PetscValidHeaderSpecific(J,MAT_COOKIE,1);
2499   PetscValidHeaderSpecific(coloring,MAT_FDCOLORING_COOKIE,2);
2500   PetscValidHeaderSpecific(x1,VEC_COOKIE,3);
2501   if (!f) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Must call MatFDColoringSetFunction()");
2502 
2503   ierr = PetscLogEventBegin(MAT_FDColoringApply,coloring,J,x1,0);CHKERRQ(ierr);
2504   ierr = MatSetUnfactored(J);CHKERRQ(ierr);
2505   ierr = PetscOptionsGetTruth(PETSC_NULL,"-mat_fd_coloring_dont_rezero",&flg,PETSC_NULL);CHKERRQ(ierr);
2506   if (flg) {
2507     ierr = PetscInfo(coloring,"Not calling MatZeroEntries()\n");CHKERRQ(ierr);
2508   } else {
2509     PetscTruth assembled;
2510     ierr = MatAssembled(J,&assembled);CHKERRQ(ierr);
2511     if (assembled) {
2512       ierr = MatZeroEntries(J);CHKERRQ(ierr);
2513     }
2514   }
2515 
2516   x1_tmp = x1;
2517   if (!coloring->vscale){
2518     ierr = VecDuplicate(x1_tmp,&coloring->vscale);CHKERRQ(ierr);
2519   }
2520 
2521   /*
2522     This is a horrible, horrible, hack. See DMMGComputeJacobian_Multigrid() it inproperly sets
2523     coloring->F for the coarser grids from the finest
2524   */
2525   if (coloring->F) {
2526     ierr = VecGetLocalSize(coloring->F,&m1);CHKERRQ(ierr);
2527     ierr = VecGetLocalSize(w1,&m2);CHKERRQ(ierr);
2528     if (m1 != m2) {
2529       coloring->F = 0;
2530       }
2531     }
2532 
2533   if (coloring->htype[0] == 'w') { /* tacky test; need to make systematic if we add other approaches to computing h*/
2534     ierr = VecNorm(x1_tmp,NORM_2,&unorm);CHKERRQ(ierr);
2535   }
2536   ierr = VecGetOwnershipRange(w1,&start,&end);CHKERRQ(ierr); /* OwnershipRange is used by ghosted x! */
2537 
2538   /* Set w1 = F(x1) */
2539   if (coloring->F) {
2540     w1          = coloring->F; /* use already computed value of function */
2541     coloring->F = 0;
2542   } else {
2543     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2544     ierr = (*f)(sctx,x1_tmp,w1,fctx);CHKERRQ(ierr);
2545     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2546   }
2547 
2548   if (!coloring->w3) {
2549     ierr = VecDuplicate(x1_tmp,&coloring->w3);CHKERRQ(ierr);
2550     ierr = PetscLogObjectParent(coloring,coloring->w3);CHKERRQ(ierr);
2551   }
2552   w3 = coloring->w3;
2553 
2554     CHKMEMQ;
2555     /* Compute all the local scale factors, including ghost points */
2556   ierr = VecGetLocalSize(x1_tmp,&N);CHKERRQ(ierr);
2557   ierr = VecGetArray(x1_tmp,&xx);CHKERRQ(ierr);
2558   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2559   if (ctype == IS_COLORING_GHOSTED){
2560     col_start = 0; col_end = N;
2561   } else if (ctype == IS_COLORING_GLOBAL){
2562     xx = xx - start;
2563     vscale_array = vscale_array - start;
2564     col_start = start; col_end = N + start;
2565   }    CHKMEMQ;
2566   for (col=col_start; col<col_end; col++){
2567     /* Loop over each local column, vscale[col] = 1./(epsilon*dx[col]) */
2568     if (coloring->htype[0] == 'w') {
2569       dx = 1.0 + unorm;
2570     } else {
2571       dx  = xx[col];
2572     }
2573     if (dx == 0.0) dx = 1.0;
2574 #if !defined(PETSC_USE_COMPLEX)
2575     if (dx < umin && dx >= 0.0)      dx = umin;
2576     else if (dx < 0.0 && dx > -umin) dx = -umin;
2577 #else
2578     if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2579     else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2580 #endif
2581     dx               *= epsilon;
2582     vscale_array[col] = 1.0/dx;
2583   }     CHKMEMQ;
2584   if (ctype == IS_COLORING_GLOBAL)  vscale_array = vscale_array + start;
2585   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2586   if (ctype == IS_COLORING_GLOBAL){
2587     ierr = VecGhostUpdateBegin(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2588     ierr = VecGhostUpdateEnd(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2589   }
2590         CHKMEMQ;
2591   if (coloring->vscaleforrow) {
2592     vscaleforrow = coloring->vscaleforrow;
2593   } else {
2594     SETERRQ(PETSC_ERR_ARG_NULL,"Null Object: coloring->vscaleforrow");
2595   }
2596 
2597 
2598   ierr = PetscMalloc(bs*sizeof(PetscInt),&srows);CHKERRQ(ierr);
2599   /*
2600     Loop over each color
2601   */
2602   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2603   for (k=0; k<coloring->ncolors; k++) {
2604     coloring->currentcolor = k;
2605     for (i=0; i<bs; i++) {
2606       ierr = VecCopy(x1_tmp,w3);CHKERRQ(ierr);
2607       ierr = VecGetArray(w3,&w3_array);CHKERRQ(ierr);
2608       if (ctype == IS_COLORING_GLOBAL) w3_array = w3_array - start;
2609       /*
2610 	Loop over each column associated with color
2611 	adding the perturbation to the vector w3.
2612       */
2613       for (l=0; l<coloring->ncolumns[k]; l++) {
2614 	col = i + bs*coloring->columns[k][l];    /* local column of the matrix we are probing for */
2615 	if (coloring->htype[0] == 'w') {
2616 	  dx = 1.0 + unorm;
2617 	} else {
2618 	  dx  = xx[col];
2619 	}
2620 	if (dx == 0.0) dx = 1.0;
2621 #if !defined(PETSC_USE_COMPLEX)
2622 	if (dx < umin && dx >= 0.0)      dx = umin;
2623 	else if (dx < 0.0 && dx > -umin) dx = -umin;
2624 #else
2625 	if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2626 	else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2627 #endif
2628 	dx            *= epsilon;
2629 	if (!PetscAbsScalar(dx)) SETERRQ(PETSC_ERR_PLIB,"Computed 0 differencing parameter");
2630 	w3_array[col] += dx;
2631       }
2632       if (ctype == IS_COLORING_GLOBAL) w3_array = w3_array + start;
2633       ierr = VecRestoreArray(w3,&w3_array);CHKERRQ(ierr);
2634 
2635       /*
2636 	Evaluate function at w3 = x1 + dx (here dx is a vector of perturbations)
2637 	w2 = F(x1 + dx) - F(x1)
2638       */
2639       ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2640       ierr = (*f)(sctx,w3,w2,fctx);CHKERRQ(ierr);
2641       ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2642       ierr = VecAXPY(w2,-1.0,w1);CHKERRQ(ierr);
2643 
2644       /*
2645 	Loop over rows of vector, putting results into Jacobian matrix
2646       */
2647       ierr = VecGetArray(w2,&y);CHKERRQ(ierr);
2648       for (l=0; l<coloring->nrows[k]; l++) {
2649 	row    = bs*coloring->rows[k][l];             /* local row index */
2650 	col    = i + bs*coloring->columnsforrow[k][l];    /* global column index */
2651         for (j=0; j<bs; j++) {
2652   	  y[row+j] *= vscale_array[j+bs*vscaleforrow[k][l]];
2653           srows[j]  = row + start + j;
2654         }
2655 	ierr   = MatSetValues(J,bs,srows,1,&col,y+row,INSERT_VALUES);CHKERRQ(ierr);
2656       }
2657       ierr = VecRestoreArray(w2,&y);CHKERRQ(ierr);
2658     }
2659   } /* endof for each color */
2660   if (ctype == IS_COLORING_GLOBAL) xx = xx + start;
2661   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2662   ierr = VecRestoreArray(x1_tmp,&xx);CHKERRQ(ierr);
2663   ierr = PetscFree(srows);CHKERRQ(ierr);
2664 
2665   coloring->currentcolor = -1;
2666   ierr  = MatAssemblyBegin(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2667   ierr  = MatAssemblyEnd(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2668   ierr = PetscLogEventEnd(MAT_FDColoringApply,coloring,J,x1,0);CHKERRQ(ierr);
2669   PetscFunctionReturn(0);
2670 }
2671 
2672 /* -------------------------------------------------------------------*/
2673 static struct _MatOps MatOps_Values = {MatSetValues_SeqBAIJ,
2674        MatGetRow_SeqBAIJ,
2675        MatRestoreRow_SeqBAIJ,
2676        MatMult_SeqBAIJ_N,
2677 /* 4*/ MatMultAdd_SeqBAIJ_N,
2678        MatMultTranspose_SeqBAIJ,
2679        MatMultTransposeAdd_SeqBAIJ,
2680        0,
2681        0,
2682        0,
2683 /*10*/ 0,
2684        MatLUFactor_SeqBAIJ,
2685        0,
2686        0,
2687        MatTranspose_SeqBAIJ,
2688 /*15*/ MatGetInfo_SeqBAIJ,
2689        MatEqual_SeqBAIJ,
2690        MatGetDiagonal_SeqBAIJ,
2691        MatDiagonalScale_SeqBAIJ,
2692        MatNorm_SeqBAIJ,
2693 /*20*/ 0,
2694        MatAssemblyEnd_SeqBAIJ,
2695        MatSetOption_SeqBAIJ,
2696        MatZeroEntries_SeqBAIJ,
2697 /*24*/ MatZeroRows_SeqBAIJ,
2698        0,
2699        0,
2700        0,
2701        0,
2702 /*29*/ MatSetUpPreallocation_SeqBAIJ,
2703        0,
2704        0,
2705        MatGetArray_SeqBAIJ,
2706        MatRestoreArray_SeqBAIJ,
2707 /*34*/ MatDuplicate_SeqBAIJ,
2708        0,
2709        0,
2710        MatILUFactor_SeqBAIJ,
2711        0,
2712 /*39*/ MatAXPY_SeqBAIJ,
2713        MatGetSubMatrices_SeqBAIJ,
2714        MatIncreaseOverlap_SeqBAIJ,
2715        MatGetValues_SeqBAIJ,
2716        MatCopy_SeqBAIJ,
2717 /*44*/ 0,
2718        MatScale_SeqBAIJ,
2719        0,
2720        0,
2721        MatILUDTFactor_SeqBAIJ,
2722 /*49*/ 0,
2723        MatGetRowIJ_SeqBAIJ,
2724        MatRestoreRowIJ_SeqBAIJ,
2725        MatGetColumnIJ_SeqBAIJ,
2726        MatRestoreColumnIJ_SeqBAIJ,
2727 /*54*/ MatFDColoringCreate_SeqAIJ,
2728        0,
2729        0,
2730        0,
2731        MatSetValuesBlocked_SeqBAIJ,
2732 /*59*/ MatGetSubMatrix_SeqBAIJ,
2733        MatDestroy_SeqBAIJ,
2734        MatView_SeqBAIJ,
2735        0,
2736        0,
2737 /*64*/ 0,
2738        0,
2739        0,
2740        0,
2741        0,
2742 /*69*/ MatGetRowMaxAbs_SeqBAIJ,
2743        0,
2744        MatConvert_Basic,
2745        0,
2746        0,
2747 /*74*/ 0,
2748        MatFDColoringApply_BAIJ,
2749        0,
2750        0,
2751        0,
2752 /*79*/ 0,
2753        0,
2754        0,
2755        0,
2756        MatLoad_SeqBAIJ,
2757 /*84*/ 0,
2758        0,
2759        0,
2760        0,
2761        0,
2762 /*89*/ 0,
2763        0,
2764        0,
2765        0,
2766        0,
2767 /*94*/ 0,
2768        0,
2769        0,
2770        0,
2771        0,
2772 /*99*/0,
2773        0,
2774        0,
2775        0,
2776        0,
2777 /*104*/0,
2778        MatRealPart_SeqBAIJ,
2779        MatImaginaryPart_SeqBAIJ,
2780        0,
2781        0,
2782 /*109*/0,
2783        0,
2784        0,
2785        0,
2786        MatMissingDiagonal_SeqBAIJ
2787 /*114*/
2788 };
2789 
2790 EXTERN_C_BEGIN
2791 #undef __FUNCT__
2792 #define __FUNCT__ "MatStoreValues_SeqBAIJ"
2793 PetscErrorCode PETSCMAT_DLLEXPORT MatStoreValues_SeqBAIJ(Mat mat)
2794 {
2795   Mat_SeqBAIJ    *aij = (Mat_SeqBAIJ *)mat->data;
2796   PetscInt       nz = aij->i[mat->rmap->N]*mat->rmap->bs*aij->bs2;
2797   PetscErrorCode ierr;
2798 
2799   PetscFunctionBegin;
2800   if (aij->nonew != 1) {
2801     SETERRQ(PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
2802   }
2803 
2804   /* allocate space for values if not already there */
2805   if (!aij->saved_values) {
2806     ierr = PetscMalloc((nz+1)*sizeof(PetscScalar),&aij->saved_values);CHKERRQ(ierr);
2807     ierr = PetscLogObjectMemory(mat,(nz+1)*sizeof(PetscScalar));CHKERRQ(ierr);
2808   }
2809 
2810   /* copy values over */
2811   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
2812   PetscFunctionReturn(0);
2813 }
2814 EXTERN_C_END
2815 
2816 EXTERN_C_BEGIN
2817 #undef __FUNCT__
2818 #define __FUNCT__ "MatRetrieveValues_SeqBAIJ"
2819 PetscErrorCode PETSCMAT_DLLEXPORT MatRetrieveValues_SeqBAIJ(Mat mat)
2820 {
2821   Mat_SeqBAIJ    *aij = (Mat_SeqBAIJ *)mat->data;
2822   PetscErrorCode ierr;
2823   PetscInt       nz = aij->i[mat->rmap->N]*mat->rmap->bs*aij->bs2;
2824 
2825   PetscFunctionBegin;
2826   if (aij->nonew != 1) {
2827     SETERRQ(PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
2828   }
2829   if (!aij->saved_values) {
2830     SETERRQ(PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
2831   }
2832 
2833   /* copy values over */
2834   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
2835   PetscFunctionReturn(0);
2836 }
2837 EXTERN_C_END
2838 
2839 EXTERN_C_BEGIN
2840 extern PetscErrorCode PETSCMAT_DLLEXPORT MatConvert_SeqBAIJ_SeqAIJ(Mat, MatType,MatReuse,Mat*);
2841 extern PetscErrorCode PETSCMAT_DLLEXPORT MatConvert_SeqBAIJ_SeqSBAIJ(Mat, MatType,MatReuse,Mat*);
2842 EXTERN_C_END
2843 
2844 EXTERN_C_BEGIN
2845 #undef __FUNCT__
2846 #define __FUNCT__ "MatSeqBAIJSetPreallocation_SeqBAIJ"
2847 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetPreallocation_SeqBAIJ(Mat B,PetscInt bs,PetscInt nz,PetscInt *nnz)
2848 {
2849   Mat_SeqBAIJ    *b;
2850   PetscErrorCode ierr;
2851   PetscInt       i,mbs,nbs,bs2,newbs = PetscAbs(bs);
2852   PetscTruth     flg,skipallocation = PETSC_FALSE;
2853 
2854   PetscFunctionBegin;
2855 
2856   if (nz == MAT_SKIP_ALLOCATION) {
2857     skipallocation = PETSC_TRUE;
2858     nz             = 0;
2859   }
2860 
2861   if (bs < 0) {
2862     ierr = PetscOptionsBegin(((PetscObject)B)->comm,((PetscObject)B)->prefix,"Block options for SEQBAIJ matrix 1","Mat");CHKERRQ(ierr);
2863       ierr = PetscOptionsInt("-mat_block_size","Set the blocksize used to store the matrix","MatSeqBAIJSetPreallocation",newbs,&newbs,PETSC_NULL);CHKERRQ(ierr);
2864     ierr = PetscOptionsEnd();CHKERRQ(ierr);
2865     bs   = PetscAbs(bs);
2866   }
2867   if (nnz && newbs != bs) {
2868     SETERRQ(PETSC_ERR_ARG_WRONG,"Cannot change blocksize from command line if setting nnz");
2869   }
2870   bs   = newbs;
2871 
2872   ierr = PetscMapSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
2873   ierr = PetscMapSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
2874   ierr = PetscMapSetUp(B->rmap);CHKERRQ(ierr);
2875   ierr = PetscMapSetUp(B->cmap);CHKERRQ(ierr);
2876 
2877   B->preallocated = PETSC_TRUE;
2878 
2879   mbs  = B->rmap->n/bs;
2880   nbs  = B->cmap->n/bs;
2881   bs2  = bs*bs;
2882 
2883   if (mbs*bs!=B->rmap->n || nbs*bs!=B->cmap->n) {
2884     SETERRQ3(PETSC_ERR_ARG_SIZ,"Number rows %D, cols %D must be divisible by blocksize %D",B->rmap->N,B->cmap->n,bs);
2885   }
2886 
2887   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
2888   if (nz < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %D",nz);
2889   if (nnz) {
2890     for (i=0; i<mbs; i++) {
2891       if (nnz[i] < 0) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"nnz cannot be less than 0: local row %D value %D",i,nnz[i]);
2892       if (nnz[i] > nbs) SETERRQ3(PETSC_ERR_ARG_OUTOFRANGE,"nnz cannot be greater than block row length: local row %D value %D rowlength %D",i,nnz[i],nbs);
2893     }
2894   }
2895 
2896   b       = (Mat_SeqBAIJ*)B->data;
2897   ierr = PetscOptionsBegin(((PetscObject)B)->comm,PETSC_NULL,"Optimize options for SEQBAIJ matrix 2 ","Mat");CHKERRQ(ierr);
2898     ierr = PetscOptionsTruth("-mat_no_unroll","Do not optimize for block size (slow)",PETSC_NULL,PETSC_FALSE,&flg,PETSC_NULL);CHKERRQ(ierr);
2899   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2900 
2901   if (!flg) {
2902     switch (bs) {
2903     case 1:
2904       B->ops->mult            = MatMult_SeqBAIJ_1;
2905       B->ops->multadd         = MatMultAdd_SeqBAIJ_1;
2906       B->ops->pbrelax         = MatPBRelax_SeqBAIJ_1;
2907       break;
2908     case 2:
2909       B->ops->mult            = MatMult_SeqBAIJ_2;
2910       B->ops->multadd         = MatMultAdd_SeqBAIJ_2;
2911       B->ops->pbrelax         = MatPBRelax_SeqBAIJ_2;
2912       break;
2913     case 3:
2914       B->ops->mult            = MatMult_SeqBAIJ_3;
2915       B->ops->multadd         = MatMultAdd_SeqBAIJ_3;
2916       B->ops->pbrelax         = MatPBRelax_SeqBAIJ_3;
2917       break;
2918     case 4:
2919       B->ops->mult            = MatMult_SeqBAIJ_4;
2920       B->ops->multadd         = MatMultAdd_SeqBAIJ_4;
2921       B->ops->pbrelax         = MatPBRelax_SeqBAIJ_4;
2922       break;
2923     case 5:
2924       B->ops->mult            = MatMult_SeqBAIJ_5;
2925       B->ops->multadd         = MatMultAdd_SeqBAIJ_5;
2926       B->ops->pbrelax         = MatPBRelax_SeqBAIJ_5;
2927       break;
2928     case 6:
2929       B->ops->mult            = MatMult_SeqBAIJ_6;
2930       B->ops->multadd         = MatMultAdd_SeqBAIJ_6;
2931       B->ops->pbrelax         = MatPBRelax_SeqBAIJ_6;
2932       break;
2933     case 7:
2934       B->ops->mult            = MatMult_SeqBAIJ_7;
2935       B->ops->multadd         = MatMultAdd_SeqBAIJ_7;
2936       B->ops->pbrelax         = MatPBRelax_SeqBAIJ_7;
2937       break;
2938     default:
2939       B->ops->mult            = MatMult_SeqBAIJ_N;
2940       B->ops->multadd         = MatMultAdd_SeqBAIJ_N;
2941       break;
2942     }
2943   }
2944   B->rmap->bs      = bs;
2945   b->mbs     = mbs;
2946   b->nbs     = nbs;
2947   if (!skipallocation) {
2948     if (!b->imax) {
2949       ierr = PetscMalloc2(mbs,PetscInt,&b->imax,mbs,PetscInt,&b->ilen);CHKERRQ(ierr);
2950       ierr = PetscLogObjectMemory(B,2*mbs*sizeof(PetscInt));
2951       b->free_imax_ilen = PETSC_TRUE;
2952     }
2953     /* b->ilen will count nonzeros in each block row so far. */
2954     for (i=0; i<mbs; i++) { b->ilen[i] = 0;}
2955     if (!nnz) {
2956       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
2957       else if (nz <= 0)        nz = 1;
2958       for (i=0; i<mbs; i++) b->imax[i] = nz;
2959       nz = nz*mbs;
2960     } else {
2961       nz = 0;
2962       for (i=0; i<mbs; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
2963     }
2964 
2965     /* allocate the matrix space */
2966     ierr = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
2967     ierr = PetscMalloc3(bs2*nz,PetscScalar,&b->a,nz,PetscInt,&b->j,B->rmap->N+1,PetscInt,&b->i);CHKERRQ(ierr);
2968     ierr = PetscLogObjectMemory(B,(B->rmap->N+1)*sizeof(PetscInt)+nz*(bs2*sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
2969     ierr  = PetscMemzero(b->a,nz*bs2*sizeof(MatScalar));CHKERRQ(ierr);
2970     ierr  = PetscMemzero(b->j,nz*sizeof(PetscInt));CHKERRQ(ierr);
2971     b->singlemalloc = PETSC_TRUE;
2972     b->i[0] = 0;
2973     for (i=1; i<mbs+1; i++) {
2974       b->i[i] = b->i[i-1] + b->imax[i-1];
2975     }
2976     b->free_a     = PETSC_TRUE;
2977     b->free_ij    = PETSC_TRUE;
2978   } else {
2979     b->free_a     = PETSC_FALSE;
2980     b->free_ij    = PETSC_FALSE;
2981   }
2982 
2983   B->rmap->bs          = bs;
2984   b->bs2              = bs2;
2985   b->mbs              = mbs;
2986   b->nz               = 0;
2987   b->maxnz            = nz*bs2;
2988   B->info.nz_unneeded = (PetscReal)b->maxnz;
2989   PetscFunctionReturn(0);
2990 }
2991 EXTERN_C_END
2992 
2993 EXTERN_C_BEGIN
2994 #undef __FUNCT__
2995 #define __FUNCT__ "MatSeqBAIJSetPreallocationCSR_SeqBAIJ"
2996 PetscErrorCode MatSeqBAIJSetPreallocationCSR_SeqBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
2997 {
2998   PetscInt       i,m,nz,nz_max=0,*nnz;
2999   PetscScalar    *values=0;
3000   PetscErrorCode ierr;
3001 
3002   PetscFunctionBegin;
3003 
3004   if (bs < 1) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Invalid block size specified, must be positive but it is %D",bs);
3005 
3006   ierr = PetscMapSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
3007   ierr = PetscMapSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
3008   ierr = PetscMapSetUp(B->rmap);CHKERRQ(ierr);
3009   ierr = PetscMapSetUp(B->cmap);CHKERRQ(ierr);
3010   m = B->rmap->n/bs;
3011 
3012   if (ii[0] != 0) { SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE, "ii[0] must be 0 but it is %D",ii[0]); }
3013   ierr = PetscMalloc((m+1) * sizeof(PetscInt), &nnz);CHKERRQ(ierr);
3014   for(i=0; i<m; i++) {
3015     nz = ii[i+1]- ii[i];
3016     if (nz < 0) { SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE, "Local row %D has a negative number of columns %D",i,nz); }
3017     nz_max = PetscMax(nz_max, nz);
3018     nnz[i] = nz;
3019   }
3020   ierr = MatSeqBAIJSetPreallocation(B,bs,0,nnz);CHKERRQ(ierr);
3021   ierr = PetscFree(nnz);CHKERRQ(ierr);
3022 
3023   values = (PetscScalar*)V;
3024   if (!values) {
3025     ierr = PetscMalloc(bs*bs*(nz_max+1)*sizeof(PetscScalar),&values);CHKERRQ(ierr);
3026     ierr = PetscMemzero(values,bs*bs*nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
3027   }
3028   for (i=0; i<m; i++) {
3029     PetscInt          ncols  = ii[i+1] - ii[i];
3030     const PetscInt    *icols = jj + ii[i];
3031     const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
3032     ierr = MatSetValuesBlocked_SeqBAIJ(B,1,&i,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
3033   }
3034   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
3035   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3036   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3037 
3038   PetscFunctionReturn(0);
3039 }
3040 EXTERN_C_END
3041 
3042 
3043 EXTERN_C_BEGIN
3044 extern PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactor_seqbaij_petsc(Mat,MatFactorType,Mat*);
3045 extern PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactorAvailable_seqbaij_petsc(Mat,MatFactorType,Mat*);
3046 EXTERN_C_END
3047 
3048 /*MC
3049    MATSEQBAIJ - MATSEQBAIJ = "seqbaij" - A matrix type to be used for sequential block sparse matrices, based on
3050    block sparse compressed row format.
3051 
3052    Options Database Keys:
3053 . -mat_type seqbaij - sets the matrix type to "seqbaij" during a call to MatSetFromOptions()
3054 
3055   Level: beginner
3056 
3057 .seealso: MatCreateSeqBAIJ()
3058 M*/
3059 
3060 
3061 EXTERN_C_BEGIN
3062 #undef __FUNCT__
3063 #define __FUNCT__ "MatCreate_SeqBAIJ"
3064 PetscErrorCode PETSCMAT_DLLEXPORT MatCreate_SeqBAIJ(Mat B)
3065 {
3066   PetscErrorCode ierr;
3067   PetscMPIInt    size;
3068   Mat_SeqBAIJ    *b;
3069 
3070   PetscFunctionBegin;
3071   ierr = MPI_Comm_size(((PetscObject)B)->comm,&size);CHKERRQ(ierr);
3072   if (size > 1) SETERRQ(PETSC_ERR_ARG_WRONG,"Comm must be of size 1");
3073 
3074   ierr    = PetscNewLog(B,Mat_SeqBAIJ,&b);CHKERRQ(ierr);
3075   B->data = (void*)b;
3076   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
3077   B->mapping               = 0;
3078   b->row                   = 0;
3079   b->col                   = 0;
3080   b->icol                  = 0;
3081   b->reallocs              = 0;
3082   b->saved_values          = 0;
3083 
3084   b->roworiented           = PETSC_TRUE;
3085   b->nonew                 = 0;
3086   b->diag                  = 0;
3087   b->solve_work            = 0;
3088   b->mult_work             = 0;
3089   B->spptr                 = 0;
3090   B->info.nz_unneeded      = (PetscReal)b->maxnz;
3091   b->keepnonzeropattern    = PETSC_FALSE;
3092   b->xtoy                  = 0;
3093   b->XtoY                  = 0;
3094   b->compressedrow.use     = PETSC_FALSE;
3095   b->compressedrow.nrows   = 0;
3096   b->compressedrow.i       = PETSC_NULL;
3097   b->compressedrow.rindex  = PETSC_NULL;
3098   b->compressedrow.checked = PETSC_FALSE;
3099   B->same_nonzero          = PETSC_FALSE;
3100 
3101   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactorAvailable_petsc_C",
3102                                      "MatGetFactorAvailable_seqbaij_petsc",
3103                                      MatGetFactorAvailable_seqbaij_petsc);CHKERRQ(ierr);
3104   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_petsc_C",
3105                                      "MatGetFactor_seqbaij_petsc",
3106                                      MatGetFactor_seqbaij_petsc);CHKERRQ(ierr);
3107   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqBAIJInvertBlockDiagonal_C",
3108                                      "MatInvertBlockDiagonal_SeqBAIJ",
3109                                       MatInvertBlockDiagonal_SeqBAIJ);CHKERRQ(ierr);
3110   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatStoreValues_C",
3111                                      "MatStoreValues_SeqBAIJ",
3112                                       MatStoreValues_SeqBAIJ);CHKERRQ(ierr);
3113   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatRetrieveValues_C",
3114                                      "MatRetrieveValues_SeqBAIJ",
3115                                       MatRetrieveValues_SeqBAIJ);CHKERRQ(ierr);
3116   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqBAIJSetColumnIndices_C",
3117                                      "MatSeqBAIJSetColumnIndices_SeqBAIJ",
3118                                       MatSeqBAIJSetColumnIndices_SeqBAIJ);CHKERRQ(ierr);
3119   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqbaij_seqaij_C",
3120                                      "MatConvert_SeqBAIJ_SeqAIJ",
3121                                       MatConvert_SeqBAIJ_SeqAIJ);CHKERRQ(ierr);
3122   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqbaij_seqsbaij_C",
3123                                      "MatConvert_SeqBAIJ_SeqSBAIJ",
3124                                       MatConvert_SeqBAIJ_SeqSBAIJ);CHKERRQ(ierr);
3125   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqBAIJSetPreallocation_C",
3126                                      "MatSeqBAIJSetPreallocation_SeqBAIJ",
3127                                       MatSeqBAIJSetPreallocation_SeqBAIJ);CHKERRQ(ierr);
3128   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqBAIJSetPreallocationCSR_C",
3129                                      "MatSeqBAIJSetPreallocationCSR_SeqBAIJ",
3130                                       MatSeqBAIJSetPreallocationCSR_SeqBAIJ);CHKERRQ(ierr);
3131   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQBAIJ);CHKERRQ(ierr);
3132   PetscFunctionReturn(0);
3133 }
3134 EXTERN_C_END
3135 
3136 #undef __FUNCT__
3137 #define __FUNCT__ "MatDuplicateNoCreate_SeqBAIJ"
3138 PetscErrorCode MatDuplicateNoCreate_SeqBAIJ(Mat C,Mat A,MatDuplicateOption cpvalues,PetscTruth mallocmatspace)
3139 {
3140   Mat_SeqBAIJ    *c = (Mat_SeqBAIJ*)C->data,*a = (Mat_SeqBAIJ*)A->data;
3141   PetscErrorCode ierr;
3142   PetscInt       i,mbs = a->mbs,nz = a->nz,bs2 = a->bs2;
3143 
3144   PetscFunctionBegin;
3145   if (a->i[mbs] != nz) SETERRQ(PETSC_ERR_PLIB,"Corrupt matrix");
3146 
3147   if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
3148     c->imax = a->imax;
3149     c->ilen = a->ilen;
3150     c->free_imax_ilen = PETSC_FALSE;
3151   } else {
3152     ierr = PetscMalloc2(mbs,PetscInt,&c->imax,mbs,PetscInt,&c->ilen);CHKERRQ(ierr);
3153     ierr = PetscLogObjectMemory(C,2*mbs*sizeof(PetscInt));CHKERRQ(ierr);
3154     for (i=0; i<mbs; i++) {
3155       c->imax[i] = a->imax[i];
3156       c->ilen[i] = a->ilen[i];
3157     }
3158     c->free_imax_ilen = PETSC_TRUE;
3159   }
3160 
3161   /* allocate the matrix space */
3162   if (mallocmatspace){
3163     if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
3164       ierr = PetscMalloc(bs2*nz*sizeof(PetscScalar),&c->a);CHKERRQ(ierr);
3165       ierr = PetscLogObjectMemory(C,a->i[mbs]*bs2*sizeof(PetscScalar));CHKERRQ(ierr);
3166       c->singlemalloc = PETSC_FALSE;
3167       c->free_ij      = PETSC_FALSE;
3168       c->i            = a->i;
3169       c->j            = a->j;
3170       c->parent       = A;
3171       ierr            = PetscObjectReference((PetscObject)A);CHKERRQ(ierr);
3172       ierr            = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3173       ierr            = MatSetOption(C,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3174     } else {
3175       ierr = PetscMalloc3(bs2*nz,PetscScalar,&c->a,nz,PetscInt,&c->j,mbs+1,PetscInt,&c->i);CHKERRQ(ierr);
3176       ierr = PetscLogObjectMemory(C,a->i[mbs]*(bs2*sizeof(PetscScalar)+sizeof(PetscInt))+(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
3177       c->singlemalloc = PETSC_TRUE;
3178       c->free_ij      = PETSC_TRUE;
3179       ierr = PetscMemcpy(c->i,a->i,(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
3180       if (mbs > 0) {
3181 	ierr = PetscMemcpy(c->j,a->j,nz*sizeof(PetscInt));CHKERRQ(ierr);
3182 	if (cpvalues == MAT_COPY_VALUES) {
3183 	  ierr = PetscMemcpy(c->a,a->a,bs2*nz*sizeof(MatScalar));CHKERRQ(ierr);
3184 	} else {
3185 	  ierr = PetscMemzero(c->a,bs2*nz*sizeof(MatScalar));CHKERRQ(ierr);
3186 	}
3187       }
3188     }
3189   }
3190 
3191   c->roworiented = a->roworiented;
3192   c->nonew       = a->nonew;
3193   ierr = PetscMapCopy(((PetscObject)A)->comm,A->rmap,C->rmap);CHKERRQ(ierr);
3194   ierr = PetscMapCopy(((PetscObject)A)->comm,A->cmap,C->cmap);CHKERRQ(ierr);
3195   c->bs2         = a->bs2;
3196   c->mbs         = a->mbs;
3197   c->nbs         = a->nbs;
3198 
3199   if (a->diag) {
3200     if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
3201       c->diag      = a->diag;
3202       c->free_diag = PETSC_FALSE;
3203     } else {
3204       ierr = PetscMalloc((mbs+1)*sizeof(PetscInt),&c->diag);CHKERRQ(ierr);
3205       ierr = PetscLogObjectMemory(C,(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
3206       for (i=0; i<mbs; i++) {
3207         c->diag[i] = a->diag[i];
3208       }
3209       c->free_diag = PETSC_TRUE;
3210     }
3211   } else c->diag        = 0;
3212   c->nz                 = a->nz;
3213   c->maxnz              = a->maxnz;
3214   c->solve_work         = 0;
3215   c->mult_work          = 0;
3216   c->free_a             = PETSC_TRUE;
3217   c->free_ij            = PETSC_TRUE;
3218   C->preallocated       = PETSC_TRUE;
3219   C->assembled          = PETSC_TRUE;
3220 
3221   c->compressedrow.use     = a->compressedrow.use;
3222   c->compressedrow.nrows   = a->compressedrow.nrows;
3223   c->compressedrow.checked = a->compressedrow.checked;
3224   if ( a->compressedrow.checked && a->compressedrow.use){
3225     i = a->compressedrow.nrows;
3226     ierr = PetscMalloc((2*i+1)*sizeof(PetscInt),&c->compressedrow.i);CHKERRQ(ierr);
3227     ierr = PetscLogObjectMemory(C,(2*i+1)*sizeof(PetscInt));CHKERRQ(ierr);
3228     c->compressedrow.rindex = c->compressedrow.i + i + 1;
3229     ierr = PetscMemcpy(c->compressedrow.i,a->compressedrow.i,(i+1)*sizeof(PetscInt));CHKERRQ(ierr);
3230     ierr = PetscMemcpy(c->compressedrow.rindex,a->compressedrow.rindex,i*sizeof(PetscInt));CHKERRQ(ierr);
3231   } else {
3232     c->compressedrow.use    = PETSC_FALSE;
3233     c->compressedrow.i      = PETSC_NULL;
3234     c->compressedrow.rindex = PETSC_NULL;
3235   }
3236   C->same_nonzero = A->same_nonzero;
3237   ierr = PetscFListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
3238   PetscFunctionReturn(0);
3239 }
3240 
3241 #undef __FUNCT__
3242 #define __FUNCT__ "MatDuplicate_SeqBAIJ"
3243 PetscErrorCode MatDuplicate_SeqBAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
3244 {
3245     PetscErrorCode ierr;
3246 
3247   PetscFunctionBegin;
3248   ierr = MatCreate(((PetscObject)A)->comm,B);CHKERRQ(ierr);
3249   ierr = MatSetSizes(*B,A->rmap->N,A->cmap->n,A->rmap->N,A->cmap->n);CHKERRQ(ierr);
3250   ierr = MatSetType(*B,MATSEQBAIJ);CHKERRQ(ierr);
3251   ierr = MatDuplicateNoCreate_SeqBAIJ(*B,A,cpvalues,PETSC_TRUE);
3252   PetscFunctionReturn(0);
3253 }
3254 
3255 #undef __FUNCT__
3256 #define __FUNCT__ "MatLoad_SeqBAIJ"
3257 PetscErrorCode MatLoad_SeqBAIJ(PetscViewer viewer, const MatType type,Mat *A)
3258 {
3259   Mat_SeqBAIJ    *a;
3260   Mat            B;
3261   PetscErrorCode ierr;
3262   PetscInt       i,nz,header[4],*rowlengths=0,M,N,bs=1;
3263   PetscInt       *mask,mbs,*jj,j,rowcount,nzcount,k,*browlengths,maskcount;
3264   PetscInt       kmax,jcount,block,idx,point,nzcountb,extra_rows;
3265   PetscInt       *masked,nmask,tmp,bs2,ishift;
3266   PetscMPIInt    size;
3267   int            fd;
3268   PetscScalar    *aa;
3269   MPI_Comm       comm = ((PetscObject)viewer)->comm;
3270 
3271   PetscFunctionBegin;
3272   ierr = PetscOptionsBegin(comm,PETSC_NULL,"Options for loading SEQBAIJ matrix","Mat");CHKERRQ(ierr);
3273     ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,PETSC_NULL);CHKERRQ(ierr);
3274   ierr = PetscOptionsEnd();CHKERRQ(ierr);
3275   bs2  = bs*bs;
3276 
3277   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3278   if (size > 1) SETERRQ(PETSC_ERR_ARG_WRONG,"view must have one processor");
3279   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
3280   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
3281   if (header[0] != MAT_FILE_COOKIE) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"not Mat object");
3282   M = header[1]; N = header[2]; nz = header[3];
3283 
3284   if (header[3] < 0) {
3285     SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as SeqBAIJ");
3286   }
3287 
3288   if (M != N) SETERRQ(PETSC_ERR_SUP,"Can only do square matrices");
3289 
3290   /*
3291      This code adds extra rows to make sure the number of rows is
3292     divisible by the blocksize
3293   */
3294   mbs        = M/bs;
3295   extra_rows = bs - M + bs*(mbs);
3296   if (extra_rows == bs) extra_rows = 0;
3297   else                  mbs++;
3298   if (extra_rows) {
3299     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
3300   }
3301 
3302   /* read in row lengths */
3303   ierr = PetscMalloc((M+extra_rows)*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
3304   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
3305   for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
3306 
3307   /* read in column indices */
3308   ierr = PetscMalloc((nz+extra_rows)*sizeof(PetscInt),&jj);CHKERRQ(ierr);
3309   ierr = PetscBinaryRead(fd,jj,nz,PETSC_INT);CHKERRQ(ierr);
3310   for (i=0; i<extra_rows; i++) jj[nz+i] = M+i;
3311 
3312   /* loop over row lengths determining block row lengths */
3313   ierr     = PetscMalloc(mbs*sizeof(PetscInt),&browlengths);CHKERRQ(ierr);
3314   ierr     = PetscMemzero(browlengths,mbs*sizeof(PetscInt));CHKERRQ(ierr);
3315   ierr     = PetscMalloc(2*mbs*sizeof(PetscInt),&mask);CHKERRQ(ierr);
3316   ierr     = PetscMemzero(mask,mbs*sizeof(PetscInt));CHKERRQ(ierr);
3317   masked   = mask + mbs;
3318   rowcount = 0; nzcount = 0;
3319   for (i=0; i<mbs; i++) {
3320     nmask = 0;
3321     for (j=0; j<bs; j++) {
3322       kmax = rowlengths[rowcount];
3323       for (k=0; k<kmax; k++) {
3324         tmp = jj[nzcount++]/bs;
3325         if (!mask[tmp]) {masked[nmask++] = tmp; mask[tmp] = 1;}
3326       }
3327       rowcount++;
3328     }
3329     browlengths[i] += nmask;
3330     /* zero out the mask elements we set */
3331     for (j=0; j<nmask; j++) mask[masked[j]] = 0;
3332   }
3333 
3334   /* create our matrix */
3335   ierr = MatCreate(comm,&B);
3336   ierr = MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,M+extra_rows,N+extra_rows);
3337   ierr = MatSetType(B,type);CHKERRQ(ierr);
3338   ierr = MatSeqBAIJSetPreallocation_SeqBAIJ(B,bs,0,browlengths);CHKERRQ(ierr);
3339   a = (Mat_SeqBAIJ*)B->data;
3340 
3341   /* set matrix "i" values */
3342   a->i[0] = 0;
3343   for (i=1; i<= mbs; i++) {
3344     a->i[i]      = a->i[i-1] + browlengths[i-1];
3345     a->ilen[i-1] = browlengths[i-1];
3346   }
3347   a->nz         = 0;
3348   for (i=0; i<mbs; i++) a->nz += browlengths[i];
3349 
3350   /* read in nonzero values */
3351   ierr = PetscMalloc((nz+extra_rows)*sizeof(PetscScalar),&aa);CHKERRQ(ierr);
3352   ierr = PetscBinaryRead(fd,aa,nz,PETSC_SCALAR);CHKERRQ(ierr);
3353   for (i=0; i<extra_rows; i++) aa[nz+i] = 1.0;
3354 
3355   /* set "a" and "j" values into matrix */
3356   nzcount = 0; jcount = 0;
3357   for (i=0; i<mbs; i++) {
3358     nzcountb = nzcount;
3359     nmask    = 0;
3360     for (j=0; j<bs; j++) {
3361       kmax = rowlengths[i*bs+j];
3362       for (k=0; k<kmax; k++) {
3363         tmp = jj[nzcount++]/bs;
3364 	if (!mask[tmp]) { masked[nmask++] = tmp; mask[tmp] = 1;}
3365       }
3366     }
3367     /* sort the masked values */
3368     ierr = PetscSortInt(nmask,masked);CHKERRQ(ierr);
3369 
3370     /* set "j" values into matrix */
3371     maskcount = 1;
3372     for (j=0; j<nmask; j++) {
3373       a->j[jcount++]  = masked[j];
3374       mask[masked[j]] = maskcount++;
3375     }
3376     /* set "a" values into matrix */
3377     ishift = bs2*a->i[i];
3378     for (j=0; j<bs; j++) {
3379       kmax = rowlengths[i*bs+j];
3380       for (k=0; k<kmax; k++) {
3381         tmp       = jj[nzcountb]/bs ;
3382         block     = mask[tmp] - 1;
3383         point     = jj[nzcountb] - bs*tmp;
3384         idx       = ishift + bs2*block + j + bs*point;
3385         a->a[idx] = (MatScalar)aa[nzcountb++];
3386       }
3387     }
3388     /* zero out the mask elements we set */
3389     for (j=0; j<nmask; j++) mask[masked[j]] = 0;
3390   }
3391   if (jcount != a->nz) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"Bad binary matrix");
3392 
3393   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
3394   ierr = PetscFree(browlengths);CHKERRQ(ierr);
3395   ierr = PetscFree(aa);CHKERRQ(ierr);
3396   ierr = PetscFree(jj);CHKERRQ(ierr);
3397   ierr = PetscFree(mask);CHKERRQ(ierr);
3398 
3399   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3400   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3401   ierr = MatView_Private(B);CHKERRQ(ierr);
3402 
3403   *A = B;
3404   PetscFunctionReturn(0);
3405 }
3406 
3407 #undef __FUNCT__
3408 #define __FUNCT__ "MatCreateSeqBAIJ"
3409 /*@C
3410    MatCreateSeqBAIJ - Creates a sparse matrix in block AIJ (block
3411    compressed row) format.  For good matrix assembly performance the
3412    user should preallocate the matrix storage by setting the parameter nz
3413    (or the array nnz).  By setting these parameters accurately, performance
3414    during matrix assembly can be increased by more than a factor of 50.
3415 
3416    Collective on MPI_Comm
3417 
3418    Input Parameters:
3419 +  comm - MPI communicator, set to PETSC_COMM_SELF
3420 .  bs - size of block
3421 .  m - number of rows
3422 .  n - number of columns
3423 .  nz - number of nonzero blocks  per block row (same for all rows)
3424 -  nnz - array containing the number of nonzero blocks in the various block rows
3425          (possibly different for each block row) or PETSC_NULL
3426 
3427    Output Parameter:
3428 .  A - the matrix
3429 
3430    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3431    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3432    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3433 
3434    Options Database Keys:
3435 .   -mat_no_unroll - uses code that does not unroll the loops in the
3436                      block calculations (much slower)
3437 .    -mat_block_size - size of the blocks to use
3438 
3439    Level: intermediate
3440 
3441    Notes:
3442    The number of rows and columns must be divisible by blocksize.
3443 
3444    If the nnz parameter is given then the nz parameter is ignored
3445 
3446    A nonzero block is any block that as 1 or more nonzeros in it
3447 
3448    The block AIJ format is fully compatible with standard Fortran 77
3449    storage.  That is, the stored row and column indices can begin at
3450    either one (as in Fortran) or zero.  See the users' manual for details.
3451 
3452    Specify the preallocated storage with either nz or nnz (not both).
3453    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
3454    allocation.  For additional details, see the users manual chapter on
3455    matrices.
3456 
3457 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateMPIBAIJ()
3458 @*/
3459 PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqBAIJ(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
3460 {
3461   PetscErrorCode ierr;
3462 
3463   PetscFunctionBegin;
3464   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3465   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
3466   ierr = MatSetType(*A,MATSEQBAIJ);CHKERRQ(ierr);
3467   ierr = MatSeqBAIJSetPreallocation_SeqBAIJ(*A,bs,nz,(PetscInt*)nnz);CHKERRQ(ierr);
3468   PetscFunctionReturn(0);
3469 }
3470 
3471 #undef __FUNCT__
3472 #define __FUNCT__ "MatSeqBAIJSetPreallocation"
3473 /*@C
3474    MatSeqBAIJSetPreallocation - Sets the block size and expected nonzeros
3475    per row in the matrix. For good matrix assembly performance the
3476    user should preallocate the matrix storage by setting the parameter nz
3477    (or the array nnz).  By setting these parameters accurately, performance
3478    during matrix assembly can be increased by more than a factor of 50.
3479 
3480    Collective on MPI_Comm
3481 
3482    Input Parameters:
3483 +  A - the matrix
3484 .  bs - size of block
3485 .  nz - number of block nonzeros per block row (same for all rows)
3486 -  nnz - array containing the number of block nonzeros in the various block rows
3487          (possibly different for each block row) or PETSC_NULL
3488 
3489    Options Database Keys:
3490 .   -mat_no_unroll - uses code that does not unroll the loops in the
3491                      block calculations (much slower)
3492 .    -mat_block_size - size of the blocks to use
3493 
3494    Level: intermediate
3495 
3496    Notes:
3497    If the nnz parameter is given then the nz parameter is ignored
3498 
3499    You can call MatGetInfo() to get information on how effective the preallocation was;
3500    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3501    You can also run with the option -info and look for messages with the string
3502    malloc in them to see if additional memory allocation was needed.
3503 
3504    The block AIJ format is fully compatible with standard Fortran 77
3505    storage.  That is, the stored row and column indices can begin at
3506    either one (as in Fortran) or zero.  See the users' manual for details.
3507 
3508    Specify the preallocated storage with either nz or nnz (not both).
3509    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
3510    allocation.  For additional details, see the users manual chapter on
3511    matrices.
3512 
3513 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateMPIBAIJ(), MatGetInfo()
3514 @*/
3515 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt nz,const PetscInt nnz[])
3516 {
3517   PetscErrorCode ierr,(*f)(Mat,PetscInt,PetscInt,const PetscInt[]);
3518 
3519   PetscFunctionBegin;
3520   ierr = PetscObjectQueryFunction((PetscObject)B,"MatSeqBAIJSetPreallocation_C",(void (**)(void))&f);CHKERRQ(ierr);
3521   if (f) {
3522     ierr = (*f)(B,bs,nz,nnz);CHKERRQ(ierr);
3523   }
3524   PetscFunctionReturn(0);
3525 }
3526 
3527 #undef __FUNCT__
3528 #define __FUNCT__ "MatSeqBAIJSetPreallocationCSR"
3529 /*@C
3530    MatSeqBAIJSetPreallocationCSR - Allocates memory for a sparse sequential matrix in AIJ format
3531    (the default sequential PETSc format).
3532 
3533    Collective on MPI_Comm
3534 
3535    Input Parameters:
3536 +  A - the matrix
3537 .  i - the indices into j for the start of each local row (starts with zero)
3538 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
3539 -  v - optional values in the matrix
3540 
3541    Level: developer
3542 
3543 .keywords: matrix, aij, compressed row, sparse
3544 
3545 .seealso: MatCreate(), MatCreateSeqBAIJ(), MatSetValues(), MatSeqBAIJSetPreallocation(), MATSEQBAIJ
3546 @*/
3547 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
3548 {
3549   PetscErrorCode ierr,(*f)(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
3550 
3551   PetscFunctionBegin;
3552   ierr = PetscObjectQueryFunction((PetscObject)B,"MatSeqBAIJSetPreallocationCSR_C",(void (**)(void))&f);CHKERRQ(ierr);
3553   if (f) {
3554     ierr = (*f)(B,bs,i,j,v);CHKERRQ(ierr);
3555   }
3556   PetscFunctionReturn(0);
3557 }
3558 
3559 
3560 #undef __FUNCT__
3561 #define __FUNCT__ "MatCreateSeqBAIJWithArrays"
3562 /*@
3563      MatCreateSeqBAIJWithArrays - Creates an sequential BAIJ matrix using matrix elements
3564               (upper triangular entries in CSR format) provided by the user.
3565 
3566      Collective on MPI_Comm
3567 
3568    Input Parameters:
3569 +  comm - must be an MPI communicator of size 1
3570 .  bs - size of block
3571 .  m - number of rows
3572 .  n - number of columns
3573 .  i - row indices
3574 .  j - column indices
3575 -  a - matrix values
3576 
3577    Output Parameter:
3578 .  mat - the matrix
3579 
3580    Level: intermediate
3581 
3582    Notes:
3583        The i, j, and a arrays are not copied by this routine, the user must free these arrays
3584     once the matrix is destroyed
3585 
3586        You cannot set new nonzero locations into this matrix, that will generate an error.
3587 
3588        The i and j indices are 0 based
3589 
3590 .seealso: MatCreate(), MatCreateMPIBAIJ(), MatCreateSeqBAIJ()
3591 
3592 @*/
3593 PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqBAIJWithArrays(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt* i,PetscInt*j,PetscScalar *a,Mat *mat)
3594 {
3595   PetscErrorCode ierr;
3596   PetscInt       ii;
3597   Mat_SeqBAIJ    *baij;
3598 
3599   PetscFunctionBegin;
3600   if (bs != 1) SETERRQ1(PETSC_ERR_SUP,"block size %D > 1 is not supported yet",bs);
3601   if (i[0]) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
3602 
3603   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
3604   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
3605   ierr = MatSetType(*mat,MATSEQBAIJ);CHKERRQ(ierr);
3606   ierr = MatSeqBAIJSetPreallocation_SeqBAIJ(*mat,bs,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
3607   baij = (Mat_SeqBAIJ*)(*mat)->data;
3608   ierr = PetscMalloc2(m,PetscInt,&baij->imax,m,PetscInt,&baij->ilen);CHKERRQ(ierr);
3609   ierr = PetscLogObjectMemory(*mat,2*m*sizeof(PetscInt));CHKERRQ(ierr);
3610 
3611   baij->i = i;
3612   baij->j = j;
3613   baij->a = a;
3614   baij->singlemalloc = PETSC_FALSE;
3615   baij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
3616   baij->free_a       = PETSC_FALSE;
3617   baij->free_ij       = PETSC_FALSE;
3618 
3619   for (ii=0; ii<m; ii++) {
3620     baij->ilen[ii] = baij->imax[ii] = i[ii+1] - i[ii];
3621 #if defined(PETSC_USE_DEBUG)
3622     if (i[ii+1] - i[ii] < 0) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Negative row length in i (row indices) row = %d length = %d",ii,i[ii+1] - i[ii]);
3623 #endif
3624   }
3625 #if defined(PETSC_USE_DEBUG)
3626   for (ii=0; ii<baij->i[m]; ii++) {
3627     if (j[ii] < 0) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %d index = %d",ii,j[ii]);
3628     if (j[ii] > n - 1) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column index to large at location = %d index = %d",ii,j[ii]);
3629   }
3630 #endif
3631 
3632   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3633   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3634   PetscFunctionReturn(0);
3635 }
3636