Actual source code: ex77.c
2: static char help[] = "Tests the various sequential routines in MatSBAIJ format. Same as ex74.c except diagonal entries of the matrices are zeros.\n";
4: #include <petscmat.h>
6: int main(int argc,char **args)
7: {
8: Vec x,y,b,s1,s2;
9: Mat A; /* linear system matrix */
10: Mat sA; /* symmetric part of the matrices */
11: PetscInt n,mbs=16,bs=1,nz=3,prob=2,i,j,col[3],row,Ii,J,n1;
12: const PetscInt *ip_ptr;
13: PetscScalar neg_one = -1.0,value[3],alpha=0.1;
14: PetscMPIInt size;
15: IS ip, isrow, iscol;
16: PetscRandom rdm;
17: PetscBool reorder=PETSC_FALSE;
18: MatInfo minfo1,minfo2;
19: PetscReal norm1,norm2,tol=10*PETSC_SMALL;
21: PetscInitialize(&argc,&args,(char*)0,help);
22: MPI_Comm_size(PETSC_COMM_WORLD,&size);
24: PetscOptionsGetInt(NULL,NULL,"-bs",&bs,NULL);
25: PetscOptionsGetInt(NULL,NULL,"-mbs",&mbs,NULL);
27: n = mbs*bs;
28: MatCreateSeqBAIJ(PETSC_COMM_WORLD,bs,n,n,nz,NULL, &A);
29: MatSetOption(A,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_FALSE);
30: MatCreateSeqSBAIJ(PETSC_COMM_WORLD,bs,n,n,nz,NULL, &sA);
31: MatSetOption(sA,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_FALSE);
33: /* Test MatGetOwnershipRange() */
34: MatGetOwnershipRange(A,&Ii,&J);
35: MatGetOwnershipRange(sA,&i,&j);
36: if (i-Ii || j-J) {
37: PetscPrintf(PETSC_COMM_SELF,"Error: MatGetOwnershipRange() in MatSBAIJ format\n");
38: }
40: /* Assemble matrix */
41: if (bs == 1) {
42: PetscOptionsGetInt(NULL,NULL,"-test_problem",&prob,NULL);
43: if (prob == 1) { /* tridiagonal matrix */
44: value[0] = -1.0; value[1] = 2.0; value[2] = -1.0;
45: for (i=1; i<n-1; i++) {
46: col[0] = i-1; col[1] = i; col[2] = i+1;
47: MatSetValues(A,1,&i,3,col,value,INSERT_VALUES);
48: MatSetValues(sA,1,&i,3,col,value,INSERT_VALUES);
49: }
50: i = n - 1; col[0]=0; col[1] = n - 2; col[2] = n - 1;
52: value[0]= 0.1; value[1]=-1; value[2]=2;
53: MatSetValues(A,1,&i,3,col,value,INSERT_VALUES);
54: MatSetValues(sA,1,&i,3,col,value,INSERT_VALUES);
56: i = 0; col[0] = 0; col[1] = 1; col[2]=n-1;
58: value[0] = 2.0; value[1] = -1.0; value[2]=0.1;
59: MatSetValues(A,1,&i,3,col,value,INSERT_VALUES);
60: MatSetValues(sA,1,&i,3,col,value,INSERT_VALUES);
61: } else if (prob ==2) { /* matrix for the five point stencil */
62: n1 = (PetscInt) (PetscSqrtReal((PetscReal)n) + 0.001);
64: for (i=0; i<n1; i++) {
65: for (j=0; j<n1; j++) {
66: Ii = j + n1*i;
67: if (i>0) {
68: J = Ii - n1;
69: MatSetValues(A,1,&Ii,1,&J,&neg_one,INSERT_VALUES);
70: MatSetValues(sA,1,&Ii,1,&J,&neg_one,INSERT_VALUES);
71: }
72: if (i<n1-1) {
73: J = Ii + n1;
74: MatSetValues(A,1,&Ii,1,&J,&neg_one,INSERT_VALUES);
75: MatSetValues(sA,1,&Ii,1,&J,&neg_one,INSERT_VALUES);
76: }
77: if (j>0) {
78: J = Ii - 1;
79: MatSetValues(A,1,&Ii,1,&J,&neg_one,INSERT_VALUES);
80: MatSetValues(sA,1,&Ii,1,&J,&neg_one,INSERT_VALUES);
81: }
82: if (j<n1-1) {
83: J = Ii + 1;
84: MatSetValues(A,1,&Ii,1,&J,&neg_one,INSERT_VALUES);
85: MatSetValues(sA,1,&Ii,1,&J,&neg_one,INSERT_VALUES);
86: }
87: }
88: }
89: }
90: } else { /* bs > 1 */
91: #if defined(DIAGB)
92: for (block=0; block<n/bs; block++) {
93: /* diagonal blocks */
94: value[0] = -1.0; value[1] = 4.0; value[2] = -1.0;
95: for (i=1+block*bs; i<bs-1+block*bs; i++) {
96: col[0] = i-1; col[1] = i; col[2] = i+1;
97: MatSetValues(A,1,&i,3,col,value,INSERT_VALUES);
98: MatSetValues(sA,1,&i,3,col,value,INSERT_VALUES);
99: }
100: i = bs - 1+block*bs; col[0] = bs - 2+block*bs; col[1] = bs - 1+block*bs;
102: value[0]=-1.0; value[1]=4.0;
103: MatSetValues(A,1,&i,2,col,value,INSERT_VALUES);
104: MatSetValues(sA,1,&i,2,col,value,INSERT_VALUES);
106: i = 0+block*bs; col[0] = 0+block*bs; col[1] = 1+block*bs;
108: value[0]=4.0; value[1] = -1.0;
109: MatSetValues(A,1,&i,2,col,value,INSERT_VALUES);
110: MatSetValues(sA,1,&i,2,col,value,INSERT_VALUES);
111: }
112: #endif
113: /* off-diagonal blocks */
114: value[0]=-1.0;
115: for (i=0; i<(n/bs-1)*bs; i++) {
116: col[0]=i+bs;
117: MatSetValues(A,1,&i,1,col,value,INSERT_VALUES);
118: MatSetValues(sA,1,&i,1,col,value,INSERT_VALUES);
119: col[0]=i; row=i+bs;
120: MatSetValues(A,1,&row,1,col,value,INSERT_VALUES);
121: MatSetValues(sA,1,&row,1,col,value,INSERT_VALUES);
122: }
123: }
124: MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
125: MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
127: MatAssemblyBegin(sA,MAT_FINAL_ASSEMBLY);
128: MatAssemblyEnd(sA,MAT_FINAL_ASSEMBLY);
130: /* Test MatNorm() */
131: MatNorm(A,NORM_FROBENIUS,&norm1);
132: MatNorm(sA,NORM_FROBENIUS,&norm2);
133: norm1 -= norm2;
134: if (norm1<-tol || norm1>tol) {
135: PetscPrintf(PETSC_COMM_SELF,"Error: MatNorm(), fnorm1-fnorm2=%16.14e\n",(double)norm1);
136: }
137: MatNorm(A,NORM_INFINITY,&norm1);
138: MatNorm(sA,NORM_INFINITY,&norm2);
139: norm1 -= norm2;
140: if (norm1<-tol || norm1>tol) {
141: PetscPrintf(PETSC_COMM_SELF,"Error: MatNorm(), inf_norm1-inf_norm2=%16.14e\n",(double)norm1);
142: }
144: /* Test MatGetInfo(), MatGetSize(), MatGetBlockSize() */
145: MatGetInfo(A,MAT_LOCAL,&minfo1);
146: MatGetInfo(sA,MAT_LOCAL,&minfo2);
147: i = (int) (minfo1.nz_used - minfo2.nz_used);
148: j = (int) (minfo1.nz_allocated - minfo2.nz_allocated);
149: if (i<0 || j<0) {
150: PetscPrintf(PETSC_COMM_SELF,"Error: MatGetInfo()\n");
151: }
153: MatGetSize(A,&Ii,&J);
154: MatGetSize(sA,&i,&j);
155: if (i-Ii || j-J) {
156: PetscPrintf(PETSC_COMM_SELF,"Error: MatGetSize()\n");
157: }
159: MatGetBlockSize(A, &Ii);
160: MatGetBlockSize(sA, &i);
161: if (i-Ii) {
162: PetscPrintf(PETSC_COMM_SELF,"Error: MatGetBlockSize()\n");
163: }
165: /* Test MatDiagonalScale(), MatGetDiagonal(), MatScale() */
166: PetscRandomCreate(PETSC_COMM_SELF,&rdm);
167: PetscRandomSetFromOptions(rdm);
168: VecCreateSeq(PETSC_COMM_SELF,n,&x);
169: VecDuplicate(x,&s1);
170: VecDuplicate(x,&s2);
171: VecDuplicate(x,&y);
172: VecDuplicate(x,&b);
174: VecSetRandom(x,rdm);
176: MatDiagonalScale(A,x,x);
177: MatDiagonalScale(sA,x,x);
179: MatGetDiagonal(A,s1);
180: MatGetDiagonal(sA,s2);
181: VecNorm(s1,NORM_1,&norm1);
182: VecNorm(s2,NORM_1,&norm2);
183: norm1 -= norm2;
184: if (norm1<-tol || norm1>tol) {
185: PetscPrintf(PETSC_COMM_SELF,"Error:MatGetDiagonal() \n");
186: }
188: MatScale(A,alpha);
189: MatScale(sA,alpha);
191: /* Test MatMult(), MatMultAdd() */
192: for (i=0; i<40; i++) {
193: VecSetRandom(x,rdm);
194: MatMult(A,x,s1);
195: MatMult(sA,x,s2);
196: VecNorm(s1,NORM_1,&norm1);
197: VecNorm(s2,NORM_1,&norm2);
198: norm1 -= norm2;
199: if (norm1<-tol || norm1>tol) {
200: PetscPrintf(PETSC_COMM_SELF,"Error: MatMult(), MatDiagonalScale() or MatScale()\n");
201: }
202: }
204: for (i=0; i<40; i++) {
205: VecSetRandom(x,rdm);
206: VecSetRandom(y,rdm);
207: MatMultAdd(A,x,y,s1);
208: MatMultAdd(sA,x,y,s2);
209: VecNorm(s1,NORM_1,&norm1);
210: VecNorm(s2,NORM_1,&norm2);
211: norm1 -= norm2;
212: if (norm1<-tol || norm1>tol) {
213: PetscPrintf(PETSC_COMM_SELF,"Error:MatMultAdd(), MatDiagonalScale() or MatScale() \n");
214: }
215: }
217: /* Test MatReordering() */
218: MatGetOrdering(A,MATORDERINGNATURAL,&isrow,&iscol);
219: ip = isrow;
221: if (reorder) {
222: IS nip;
223: PetscInt *nip_ptr;
224: PetscMalloc1(mbs,&nip_ptr);
225: ISGetIndices(ip,&ip_ptr);
226: PetscArraycpy(nip_ptr,ip_ptr,mbs);
227: i = nip_ptr[1]; nip_ptr[1] = nip_ptr[mbs-2]; nip_ptr[mbs-2] = i;
228: i = nip_ptr[0]; nip_ptr[0] = nip_ptr[mbs-1]; nip_ptr[mbs-1] = i;
229: ISRestoreIndices(ip,&ip_ptr);
230: ISCreateGeneral(PETSC_COMM_SELF,mbs,nip_ptr,PETSC_COPY_VALUES,&nip);
231: PetscFree(nip_ptr);
233: MatReorderingSeqSBAIJ(sA, ip);
234: ISDestroy(&nip);
235: }
237: ISDestroy(&iscol);
238: ISDestroy(&isrow);
239: MatDestroy(&A);
240: MatDestroy(&sA);
241: VecDestroy(&x);
242: VecDestroy(&y);
243: VecDestroy(&s1);
244: VecDestroy(&s2);
245: VecDestroy(&b);
246: PetscRandomDestroy(&rdm);
248: PetscFinalize();
249: return 0;
250: }
252: /*TEST
254: test:
255: args: -bs {{1 2 3 4 5 6 7 8}}
257: TEST*/