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,M,N,nzp;
 19:   PetscReal      norm,norm_tmp,tol=1.e-8,fill=4.0;
 20:   PetscRandom    rdm;
 21:   char           file[4][128];
 22:   PetscTruth     flg,preload = PETSC_TRUE;
 23:   PetscScalar    *a,rval,alpha,none = -1.0;
 24:   PetscTruth     Test_MatMatMult=PETSC_TRUE,Test_MatMatMultTr=PETSC_TRUE;
 25:   Vec            v3,v4,v5;
 26:   PetscInt       pm,pn,pM,pN;
 27:   PetscTruth     Test_MatPtAP=PETSC_TRUE;

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

 33:   /*  Load the matrices A and B */
 34:   PetscOptionsGetString(PETSC_NULL,"-f0",file[0],127,&flg);
 35:   if (!flg) SETERRQ(1,"Must indicate a file name for small matrix A with the -f0 option.");
 36:   PetscOptionsGetString(PETSC_NULL,"-f1",file[1],127,&flg);
 37:   if (!flg) SETERRQ(1,"Must indicate a file name for small matrix B with the -f1 option.");
 38:   PetscOptionsGetString(PETSC_NULL,"-f2",file[2],127,&flg);
 39:   if (!flg) {
 40:     preload = PETSC_FALSE;
 41:   } else {
 42:     PetscOptionsGetString(PETSC_NULL,"-f3",file[3],127,&flg);
 43:     if (!flg) SETERRQ(1,"Must indicate a file name for test matrix B with the -f3 option.");
 44:   }

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

 51:   PetscViewerBinaryOpen(PETSC_COMM_WORLD,file[2*PreLoadIt+1],FILE_MODE_READ,&viewer);
 52:   MatLoad(viewer,MATAIJ,&B);
 53:   PetscViewerDestroy(viewer);

 55:   MatGetSize(B,&M,&N);
 56:   nzp  = (PetscInt)(0.1*M);
 57:   PetscMalloc((nzp+1)*(sizeof(PetscInt)+sizeof(PetscScalar)),&idxn);
 58:   a    = (PetscScalar*)(idxn + nzp);
 59: 
 60:   /* Create vectors v1 and v2 that are compatible with A_save */
 61:   VecCreate(PETSC_COMM_WORLD,&v1);
 62:   MatGetLocalSize(A_save,&m,PETSC_NULL);
 63:   VecSetSizes(v1,m,PETSC_DECIDE);
 64:   VecSetFromOptions(v1);
 65:   VecDuplicate(v1,&v2);

 67:   PetscRandomCreate(PETSC_COMM_WORLD,RANDOM_DEFAULT,&rdm);
 68:   PetscOptionsGetReal(PETSC_NULL,"-fill",&fill,PETSC_NULL);

 70:   /* Test MatMatMult() */
 71:   /*-------------------*/
 72:   if (Test_MatMatMult){
 73:     MatDuplicate(A_save,MAT_COPY_VALUES,&A);
 74:     MatMatMult(A,B,MAT_INITIAL_MATRIX,fill,&C);
 75: 
 76:     /* Test MAT_REUSE_MATRIX - reuse symbolic C */
 77:     alpha=1.0;
 78:     for (i=0; i<2; i++){
 79:       alpha -=0.1;
 80:       MatScale(A,alpha);
 81:       MatMatMult(A,B,MAT_REUSE_MATRIX,fill,&C);
 82:     }
 83: 
 84:     /* Create vector x that is compatible with B */
 85:     VecCreate(PETSC_COMM_WORLD,&x);
 86:     MatGetLocalSize(B,PETSC_NULL,&n);
 87:     VecSetSizes(x,n,PETSC_DECIDE);
 88:     VecSetFromOptions(x);

 90:     norm = 0.0;
 91:     for (i=0; i<10; i++) {
 92:       VecSetRandom(x,rdm);
 93:       MatMult(B,x,v1);
 94:       MatMult(A,v1,v2);  /* v2 = A*B*x */
 95:       MatMult(C,x,v1);   /* v1 = C*x   */
 96:       VecAXPY(v1,none,v2);
 97:       VecNorm(v1,NORM_2,&norm_tmp);
 98:       if (norm_tmp > norm) norm = norm_tmp;
 99:     }
100:     if (norm >= tol) {
101:       PetscPrintf(PETSC_COMM_SELF,"Error: MatMatMult(), |v1 - v2|: %G\n",norm);
102:     }
103:     MatDestroy(A);
104:     MatDestroy(C);
105:     VecDestroy(x);
106:   } /* if (Test_MatMatMult) */

108:   /* Test MatMatMultTranspose() */
109:   /*----------------------------*/
110:   if (size>1) Test_MatMatMultTr = PETSC_FALSE;
111:   if (Test_MatMatMultTr){
112:     PetscInt PN;
113:     /* MatGetSize(B,&M,&N); */
114:     PN   = M/2;
115:     nzp  = 5; /* num of nonzeros in each row of P */
116:     MatCreate(PETSC_COMM_WORLD,&P);
117:     MatSetSizes(P,PETSC_DECIDE,PETSC_DECIDE,M,PN);
118:     MatSetType(P,MATAIJ);
119:     MatSeqAIJSetPreallocation(P,nzp,PETSC_NULL);
120:     MatMPIAIJSetPreallocation(P,nzp,PETSC_NULL,nzp,PETSC_NULL);
121:     for (i=0; i<nzp; i++){
122:       PetscRandomGetValue(rdm,&a[i]);
123:     }
124:     for (i=0; i<M; i++){
125:       for (j=0; j<nzp; j++){
126:         PetscRandomGetValue(rdm,&rval);
127:         idxn[j] = (PetscInt)(PetscRealPart(rval)*PN);
128:       }
129:       MatSetValues(P,1,&i,nzp,idxn,a,ADD_VALUES);
130:     }
131:     MatAssemblyBegin(P,MAT_FINAL_ASSEMBLY);
132:     MatAssemblyEnd(P,MAT_FINAL_ASSEMBLY);
133: 
134:     MatMatMultTranspose(P,B,MAT_INITIAL_MATRIX,fill,&C);

136:     /* Test MAT_REUSE_MATRIX - reuse symbolic C */
137:     alpha=1.0;
138:     for (i=0; i<2; i++){
139:       alpha -=0.1;
140:       MatScale(P,alpha);
141:       MatMatMultTranspose(P,B,MAT_REUSE_MATRIX,fill,&C);
142:     }

144:     /* Create vector x, v5 that are compatible with B */
145:     VecCreate(PETSC_COMM_WORLD,&x);
146:     MatGetLocalSize(B,&m,&n);
147:     VecSetSizes(x,n,PETSC_DECIDE);
148:     VecSetFromOptions(x);

150:     VecCreate(PETSC_COMM_WORLD,&v5);
151:     VecSetSizes(v5,m,PETSC_DECIDE);
152:     VecSetFromOptions(v5);
153: 
154:     MatGetLocalSize(P,PETSC_NULL,&n);
155:     VecCreate(PETSC_COMM_WORLD,&v3);
156:     VecSetSizes(v3,n,PETSC_DECIDE);
157:     VecSetFromOptions(v3);
158:     VecDuplicate(v3,&v4);

160:     norm = 0.0;
161:     for (i=0; i<10; i++) {
162:       VecSetRandom(x,rdm);
163:       MatMult(B,x,v5);            /* v5 = B*x   */
164:       MatMultTranspose(P,v5,v3);  /* v3 = Pt*B*x */
165:       MatMult(C,x,v4);            /* v4 = C*x   */
166:       VecAXPY(v4,none,v3);
167:       VecNorm(v4,NORM_2,&norm_tmp);
168:       if (norm_tmp > norm) norm = norm_tmp;
169:     }
170:     if (norm >= tol) {
171:       PetscPrintf(PETSC_COMM_SELF,"Error: MatMatMultTr(), |v3 - v4|: %G\n",norm);
172:     }
173:     MatDestroy(P);
174:     MatDestroy(C);
175:     VecDestroy(v3);
176:     VecDestroy(v4);
177:     VecDestroy(v5);
178:     VecDestroy(x);
179:   }

181:   /* Test MatPtAP() */
182:   /*----------------------*/
183:   if (Test_MatPtAP){
184:     PetscInt PN;
185:     MatDuplicate(A_save,MAT_COPY_VALUES,&A);
186:     MatGetSize(A,&M,&N);
187:     MatGetLocalSize(A,&m,&n);
188:     /* PetscPrintf(PETSC_COMM_SELF,"[%d] A: %d,%d, %d,%d\n",rank,m,n,M,N); */

190:     PN   = M/2;
191:     nzp  = (PetscInt)(0.1*PN); /* num of nozeros in each row of P */
192:     MatCreate(PETSC_COMM_WORLD,&P);
193:     MatSetSizes(P,PETSC_DECIDE,PETSC_DECIDE,N,PN);
194:     MatSetType(P,MATAIJ);
195:     MatSeqAIJSetPreallocation(P,nzp,PETSC_NULL);
196:     MatMPIAIJSetPreallocation(P,nzp,PETSC_NULL,nzp,PETSC_NULL);
197:     for (i=0; i<nzp; i++){
198:       PetscRandomGetValue(rdm,&a[i]);
199:     }
200:     for (i=0; i<M; i++){
201:       for (j=0; j<nzp; j++){
202:         PetscRandomGetValue(rdm,&rval);
203:         idxn[j] = (PetscInt)(PetscRealPart(rval)*PN);
204:       }
205:       MatSetValues(P,1,&i,nzp,idxn,a,ADD_VALUES);
206:     }
207:     MatAssemblyBegin(P,MAT_FINAL_ASSEMBLY);
208:     MatAssemblyEnd(P,MAT_FINAL_ASSEMBLY);

210:     /* MatView(P,PETSC_VIEWER_STDOUT_WORLD); */
211:     MatGetSize(P,&pM,&pN);
212:     MatGetLocalSize(P,&pm,&pn);
213:     /* PetscPrintf(PETSC_COMM_SELF," [%d] P, %d, %d, %d,%d\n",rank,pm,pn,pM,pN); */
214:     MatPtAP(A,P,MAT_INITIAL_MATRIX,fill,&C);

216:     /* Test MAT_REUSE_MATRIX - reuse symbolic C */
217:     alpha=1.0;
218:     for (i=0; i<2; i++){
219:       alpha -=0.1;
220:       MatScale(A,alpha);
221:       MatPtAP(A,P,MAT_REUSE_MATRIX,fill,&C);
222:     }

224:     /* Create vector x that is compatible with P */
225:     VecCreate(PETSC_COMM_WORLD,&x);
226:     MatGetLocalSize(P,&m,&n);
227:     VecSetSizes(x,n,PETSC_DECIDE);
228:     VecSetFromOptions(x);
229: 
230:     VecCreate(PETSC_COMM_WORLD,&v3);
231:     VecSetSizes(v3,n,PETSC_DECIDE);
232:     VecSetFromOptions(v3);
233:     VecDuplicate(v3,&v4);

235:     norm = 0.0;
236:     for (i=0; i<10; i++) {
237:       VecSetRandom(x,rdm);
238:       MatMult(P,x,v1);
239:       MatMult(A,v1,v2);  /* v2 = A*P*x */

241:       MatMultTranspose(P,v2,v3); /* v3 = Pt*A*P*x */
242:       MatMult(C,x,v4);           /* v3 = C*x   */
243:       VecAXPY(v4,none,v3);
244:       VecNorm(v4,NORM_2,&norm_tmp);
245:       if (norm_tmp > norm) norm = norm_tmp;
246:     }
247:     if (norm >= tol) {
248:       PetscPrintf(PETSC_COMM_SELF,"Error: MatPtAP(), |v1 - v2|: %G\n",norm);
249:     }
250: 
251:     MatDestroy(A);
252:     MatDestroy(P);
253:     MatDestroy(C);
254:     VecDestroy(v3);
255:     VecDestroy(v4);
256:     VecDestroy(x);
257:   } /* if (Test_MatPtAP) */

259:   /* Destroy objects */
260:   VecDestroy(v1);
261:   VecDestroy(v2);
262:   PetscRandomDestroy(rdm);
263:   PetscFree(idxn);
264: 
265:   MatDestroy(A_save);
266:   MatDestroy(B);

268:   PreLoadEnd();
269:   PetscFinalize();

271:   return 0;
272: }