Actual source code: ex94.c

  2: static char help[] = "Tests sequential and parallel MatMatMult() and MatPtAP(), sequential MatMatMultTranspose()\n\
  3: Input arguments are:\n\
  4:   -f0 <input_file> -f1 <input_file> -f2 <input_file> -f3 <input_file> : file to load\n\n";
  5: /* e.g., ex94 -f0 $D/small -f1 $D/small -f2 $D/arco1 -f3 $D/arco1 */

 7:  #include petscmat.h

 11: int main(int argc,char **args)
 12: {
 13:   Mat            A,A_save,B,P,C;
 14:   Vec            x,v1,v2;
 15:   PetscViewer    viewer;
 17:   PetscMPIInt    size,rank;
 18:   PetscInt       i,m,n,j,idxn[10],M,N,nzp;
 19:   PetscReal      norm,norm_tmp,tol=1.e-10,fill=4.0;
 20:   PetscRandom    rdm;
 21:   char           file[4][128];
 22:   PetscTruth     flg,preload = PETSC_TRUE;
 23:   PetscScalar    a[10],rval,alpha,none = -1.0;
 24:   PetscTruth     Test_MatMatMult=PETSC_TRUE,Test_MatMatMultTr=PETSC_TRUE,Test_MatPtAP=PETSC_TRUE;
 25:   Vec            v3,v4,v5;

 27:   PetscInitialize(&argc,&args,(char *)0,help);
 28:   MPI_Comm_size(PETSC_COMM_WORLD,&size);
 29:   MPI_Comm_rank(PETSC_COMM_WORLD,&rank);

 31:   /*  Load the matrices A and B */
 32:   PetscOptionsGetString(PETSC_NULL,"-f0",file[0],127,&flg);
 33:   if (!flg) SETERRQ(1,"Must indicate a file name for small matrix A with the -f0 option.");
 34:   PetscOptionsGetString(PETSC_NULL,"-f1",file[1],127,&flg);
 35:   if (!flg) SETERRQ(1,"Must indicate a file name for small matrix B with the -f1 option.");
 36:   PetscOptionsGetString(PETSC_NULL,"-f2",file[2],127,&flg);
 37:   if (!flg) {
 38:     preload = PETSC_FALSE;
 39:   } else {
 40:     PetscOptionsGetString(PETSC_NULL,"-f3",file[3],127,&flg);
 41:     if (!flg) SETERRQ(1,"Must indicate a file name for test matrix B with the -f3 option.");
 42:   }

 44:   PreLoadBegin(preload,"Load system");
 45:   PetscViewerBinaryOpen(PETSC_COMM_WORLD,file[2*PreLoadIt],PETSC_FILE_RDONLY,&viewer);
 46:   MatLoad(viewer,MATAIJ,&A_save);
 47:   PetscViewerDestroy(viewer);

 49:   PetscViewerBinaryOpen(PETSC_COMM_WORLD,file[2*PreLoadIt+1],PETSC_FILE_RDONLY,&viewer);
 50:   MatLoad(viewer,MATAIJ,&B);
 51:   PetscViewerDestroy(viewer);
 52: 
 53:   /* Create vectors v1 and v2 that are compatible with A_save */
 54:   VecCreate(PETSC_COMM_WORLD,&v1);
 55:   MatGetLocalSize(A_save,&m,PETSC_NULL);
 56:   VecSetSizes(v1,m,PETSC_DECIDE);
 57:   VecSetFromOptions(v1);
 58:   VecDuplicate(v1,&v2);

 60:   PetscRandomCreate(PETSC_COMM_WORLD,RANDOM_DEFAULT,&rdm);
 61:   PetscOptionsGetReal(PETSC_NULL,"-fill",&fill,PETSC_NULL);

 63:   /* Test MatMatMult() */
 64:   /*-------------------*/
 65:   if (Test_MatMatMult){
 66:     MatDuplicate(A_save,MAT_COPY_VALUES,&A);
 67:     MatMatMult(A,B,MAT_INITIAL_MATRIX,fill,&C);
 68: 
 69:     /* Test MAT_REUSE_MATRIX - reuse symbolic C */
 70:     alpha=1.0;
 71:     for (i=0; i<2; i++){
 72:       alpha -=0.1;
 73:       MatScale(&alpha,A);
 74:       MatMatMult(A,B,MAT_REUSE_MATRIX,fill,&C);
 75:     }
 76: 
 77:     /* Create vector x that is compatible with B */
 78:     VecCreate(PETSC_COMM_WORLD,&x);
 79:     MatGetLocalSize(B,PETSC_NULL,&n);
 80:     VecSetSizes(x,n,PETSC_DECIDE);
 81:     VecSetFromOptions(x);

 83:     norm = 0.0;
 84:     for (i=0; i<10; i++) {
 85:       VecSetRandom(rdm,x);
 86:       MatMult(B,x,v1);
 87:       MatMult(A,v1,v2);  /* v2 = A*B*x */
 88:       MatMult(C,x,v1);   /* v1 = C*x   */
 89:       VecAXPY(&none,v2,v1);
 90:       VecNorm(v1,NORM_2,&norm_tmp);
 91:       if (norm_tmp > norm) norm = norm_tmp;
 92:     }
 93:     if (norm >= tol) {
 94:       PetscPrintf(PETSC_COMM_SELF,"Error: MatMatMult(), |v1 - v2|: %g\n",norm);
 95:     }
 96:     MatDestroy(A);
 97:     MatDestroy(C);
 98:     VecDestroy(x);
 99:   } /* if (Test_MatMatMult) */

101:   /* Test MatMatMultTranspose() */
102:   /*----------------------------*/
103:   if (size>1) Test_MatMatMultTr = PETSC_FALSE;
104:   if (Test_MatMatMultTr){
105:     PetscInt PN;
106:     MatGetSize(B,&M,&N);
107:     PN   = M/2;
108:     nzp  = 5;
109:     MatCreate(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,M,PN,&P);
110:     MatSetType(P,MATAIJ);
111:     MatSeqAIJSetPreallocation(P,nzp,PETSC_NULL);
112:     MatMPIAIJSetPreallocation(P,nzp,PETSC_NULL,nzp,PETSC_NULL);
113:     for (i=0; i<nzp; i++){
114:       PetscRandomGetValue(rdm,&a[i]);
115:     }
116:     for (i=0; i<M; i++){
117:       for (j=0; j<nzp; j++){
118:         PetscRandomGetValue(rdm,&rval);
119:         idxn[j] = (PetscInt)(PetscRealPart(rval)*PN);
120:       }
121:       MatSetValues(P,1,&i,nzp,idxn,a,ADD_VALUES);
122:     }
123:     MatAssemblyBegin(P,MAT_FINAL_ASSEMBLY);
124:     MatAssemblyEnd(P,MAT_FINAL_ASSEMBLY);
125: 
126:     MatMatMultTranspose(P,B,MAT_INITIAL_MATRIX,fill,&C);

128:     /* Test MAT_REUSE_MATRIX - reuse symbolic C */
129:     alpha=1.0;
130:     for (i=0; i<2; i++){
131:       alpha -=0.1;
132:       MatScale(&alpha,P);
133:       MatMatMultTranspose(P,B,MAT_REUSE_MATRIX,fill,&C);
134:     }

136:     /* Create vector x, v5 that are compatible with B */
137:     VecCreate(PETSC_COMM_WORLD,&x);
138:     MatGetLocalSize(B,&m,&n);
139:     VecSetSizes(x,n,PETSC_DECIDE);
140:     VecSetFromOptions(x);

142:     VecCreate(PETSC_COMM_WORLD,&v5);
143:     VecSetSizes(v5,m,PETSC_DECIDE);
144:     VecSetFromOptions(v5);
145: 
146:     MatGetLocalSize(P,PETSC_NULL,&n);
147:     VecCreate(PETSC_COMM_WORLD,&v3);
148:     VecSetSizes(v3,n,PETSC_DECIDE);
149:     VecSetFromOptions(v3);
150:     VecDuplicate(v3,&v4);

152:     norm = 0.0;
153:     for (i=0; i<10; i++) {
154:       VecSetRandom(rdm,x);
155:       MatMult(B,x,v5);            /* v5 = B*x   */
156:       MatMultTranspose(P,v5,v3);  /* v3 = Pt*B*x */
157:       MatMult(C,x,v4);            /* v4 = C*x   */
158:       VecAXPY(&none,v3,v4);
159:       VecNorm(v4,NORM_2,&norm_tmp);
160:       if (norm_tmp > norm) norm = norm_tmp;
161:     }
162:     if (norm >= tol) {
163:       PetscPrintf(PETSC_COMM_SELF,"Error: MatMatMultTr(), |v3 - v4|: %g\n",norm);
164:     }
165:     MatDestroy(P);
166:     MatDestroy(C);
167:     VecDestroy(v3);
168:     VecDestroy(v4);
169:     VecDestroy(v5);
170:     VecDestroy(x);
171:   }

173:   /* Test MatPtAP() */
174:   /*----------------------*/
175:   if (Test_MatPtAP){
176:     PetscInt PN;
177:     MatDuplicate(A_save,MAT_COPY_VALUES,&A);
178:     MatGetSize(A,&M,&N);
179:     PN   = M/2;
180:     nzp  = 5;
181:     MatCreate(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,N,PN,&P);
182:     MatSetType(P,MATAIJ);
183:     MatSeqAIJSetPreallocation(P,nzp,PETSC_NULL);
184:     MatMPIAIJSetPreallocation(P,nzp,PETSC_NULL,nzp,PETSC_NULL);
185:     for (i=0; i<nzp; i++){
186:       PetscRandomGetValue(rdm,&a[i]);
187:     }
188:     for (i=0; i<M; i++){
189:       for (j=0; j<nzp; j++){
190:         PetscRandomGetValue(rdm,&rval);
191:         idxn[j] = (PetscInt)(PetscRealPart(rval)*PN);
192:       }
193:       MatSetValues(P,1,&i,nzp,idxn,a,ADD_VALUES);
194:     }
195:     MatAssemblyBegin(P,MAT_FINAL_ASSEMBLY);
196:     MatAssemblyEnd(P,MAT_FINAL_ASSEMBLY);
197: 
198:     MatPtAP(A,P,MAT_INITIAL_MATRIX,fill,&C);

200:     /* Test MAT_REUSE_MATRIX - reuse symbolic C */
201:     alpha=1.0;
202:     for (i=0; i<2; i++){
203:       alpha -=0.1;
204:       MatScale(&alpha,A);
205:       MatPtAP(A,P,MAT_REUSE_MATRIX,fill,&C);
206:     }

208:     /* Create vector x that is compatible with P */
209:     VecCreate(PETSC_COMM_WORLD,&x);
210:     MatGetLocalSize(P,&m,&n);
211:     VecSetSizes(x,n,PETSC_DECIDE);
212:     VecSetFromOptions(x);
213: 
214:     VecCreate(PETSC_COMM_WORLD,&v3);
215:     VecSetSizes(v3,n,PETSC_DECIDE);
216:     VecSetFromOptions(v3);
217:     VecDuplicate(v3,&v4);

219:     norm = 0.0;
220:     for (i=0; i<10; i++) {
221:       VecSetRandom(rdm,x);
222:       MatMult(P,x,v1);
223:       MatMult(A,v1,v2);  /* v2 = A*P*x */

225:       MatMultTranspose(P,v2,v3); /* v3 = Pt*A*P*x */
226:       MatMult(C,x,v4);           /* v3 = C*x   */
227:       VecAXPY(&none,v3,v4);
228:       VecNorm(v4,NORM_2,&norm_tmp);
229:       if (norm_tmp > norm) norm = norm_tmp;
230:     }
231:     if (norm >= tol) {
232:       PetscPrintf(PETSC_COMM_SELF,"Error: MatPtAP(), |v1 - v2|: %g\n",norm);
233:     }
234: 
235:     MatDestroy(A);
236:     MatDestroy(P);
237:     MatDestroy(C);
238:     VecDestroy(v3);
239:     VecDestroy(v4);
240:     VecDestroy(x);
241:   } /* if (Test_MatPtAP) */

243:   /* Destroy objects */
244:   VecDestroy(v1);
245:   VecDestroy(v2);
246:   PetscRandomDestroy(rdm);
247: 
248:   MatDestroy(A_save);
249:   MatDestroy(B);

251:   PreLoadEnd();
252:   PetscFinalize();

254:   return 0;
255: }