1 2 static char help[] = "Test Matrix products for AIJ matrices\n\ 3 Input arguments are:\n\ 4 -fA <input_file> -fB <input_file> -fC <input_file>: file to load\n\n"; 5 /* Example of usage: 6 ./ex62 -fA <A_binary> -fB <B_binary> 7 mpiexec -n 3 ./ex62 -fA medium -fB medium 8 */ 9 10 #include <petscmat.h> 11 12 /* 13 B = A - B 14 norm = norm(B) 15 */ 16 PetscErrorCode MatNormDifference(Mat A,Mat B,PetscReal *norm) 17 { 18 PetscErrorCode ierr; 19 20 PetscFunctionBegin; 21 ierr = MatAXPY(B,-1.0,A,DIFFERENT_NONZERO_PATTERN);CHKERRQ(ierr); 22 ierr = MatNorm(B,NORM_FROBENIUS,norm);CHKERRQ(ierr); 23 PetscFunctionReturn(0); 24 } 25 26 int main(int argc,char **args) 27 { 28 Mat A,A_save,B,C,P,C1,R; 29 PetscViewer viewer; 30 PetscErrorCode ierr; 31 PetscMPIInt size,rank; 32 PetscInt i,j,*idxn,M,N,nzp,PN,rstart,rend; 33 PetscReal norm; 34 PetscRandom rdm; 35 char file[2][128]; 36 PetscScalar *a,rval,alpha; 37 PetscBool Test_MatMatMult=PETSC_TRUE,Test_MatTrMat=PETSC_TRUE,Test_MatMatTr=PETSC_TRUE; 38 PetscBool Test_MatPtAP=PETSC_TRUE,Test_MatRARt=PETSC_TRUE,flg,seqaij; 39 MatInfo info; 40 MatType mattype; 41 42 ierr = PetscInitialize(&argc,&args,(char*)0,help);if (ierr) return ierr; 43 ierr = MPI_Comm_size(PETSC_COMM_WORLD,&size);CHKERRQ(ierr); 44 ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr); 45 46 /* Load the matrices A_save and B */ 47 ierr = PetscOptionsGetString(NULL,NULL,"-fA",file[0],sizeof(file[0]),&flg);CHKERRQ(ierr); 48 if (!flg) SETERRQ(PETSC_COMM_WORLD,1,"Must indicate a file name for small matrix A with the -fA option."); 49 ierr = PetscOptionsGetString(NULL,NULL,"-fB",file[1],sizeof(file[1]),&flg);CHKERRQ(ierr); 50 if (!flg) SETERRQ(PETSC_COMM_WORLD,1,"Must indicate a file name for small matrix B with the -fB option."); 51 52 ierr = PetscViewerBinaryOpen(PETSC_COMM_WORLD,file[0],FILE_MODE_READ,&viewer);CHKERRQ(ierr); 53 ierr = MatCreate(PETSC_COMM_WORLD,&A_save);CHKERRQ(ierr); 54 ierr = MatSetFromOptions(A_save);CHKERRQ(ierr); 55 ierr = MatLoad(A_save,viewer);CHKERRQ(ierr); 56 ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr); 57 58 ierr = PetscViewerBinaryOpen(PETSC_COMM_WORLD,file[1],FILE_MODE_READ,&viewer);CHKERRQ(ierr); 59 ierr = MatCreate(PETSC_COMM_WORLD,&B);CHKERRQ(ierr); 60 ierr = MatSetFromOptions(B);CHKERRQ(ierr); 61 ierr = MatLoad(B,viewer);CHKERRQ(ierr); 62 ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr); 63 64 ierr = MatGetType(B,&mattype);CHKERRQ(ierr); 65 66 ierr = MatGetSize(B,&M,&N);CHKERRQ(ierr); 67 nzp = PetscMax((PetscInt)(0.1*M),5); 68 ierr = PetscMalloc((nzp+1)*(sizeof(PetscInt)+sizeof(PetscScalar)),&idxn);CHKERRQ(ierr); 69 a = (PetscScalar*)(idxn + nzp); 70 71 ierr = PetscRandomCreate(PETSC_COMM_WORLD,&rdm);CHKERRQ(ierr); 72 ierr = PetscRandomSetFromOptions(rdm);CHKERRQ(ierr); 73 74 /* 1) MatMatMult() */ 75 /* ----------------*/ 76 if (Test_MatMatMult) { 77 ierr = MatDuplicate(A_save,MAT_COPY_VALUES,&A);CHKERRQ(ierr); 78 79 /* (1.1) Test developer API */ 80 ierr = MatProductCreate(A,B,NULL,&C);CHKERRQ(ierr); 81 ierr = MatProductSetType(C,MATPRODUCT_AB);CHKERRQ(ierr); 82 ierr = MatProductSetAlgorithm(C,"default");CHKERRQ(ierr); 83 ierr = MatProductSetFill(C,PETSC_DEFAULT);CHKERRQ(ierr); 84 ierr = MatProductSetFromOptions(C);CHKERRQ(ierr); 85 ierr = MatProductSymbolic(C);CHKERRQ(ierr); 86 ierr = MatProductNumeric(C);CHKERRQ(ierr); 87 88 /* Test reuse symbolic C */ 89 alpha = 0.9; 90 ierr = MatScale(A,alpha);CHKERRQ(ierr); 91 ierr = MatProductNumeric(C);CHKERRQ(ierr); 92 93 ierr = MatMatMultEqual(A,B,C,10,&flg);CHKERRQ(ierr); 94 if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in C=A*B"); 95 ierr = MatDestroy(&C);CHKERRQ(ierr); 96 97 /* (1.2) Test user driver */ 98 ierr = MatMatMult(A,B,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&C);CHKERRQ(ierr); 99 100 /* Test MAT_REUSE_MATRIX - reuse symbolic C */ 101 alpha = 1.0; 102 for (i=0; i<2; i++) { 103 alpha -= 0.1; 104 ierr = MatScale(A,alpha);CHKERRQ(ierr); 105 ierr = MatMatMult(A,B,MAT_REUSE_MATRIX,PETSC_DEFAULT,&C);CHKERRQ(ierr); 106 } 107 ierr = MatMatMultEqual(A,B,C,10,&flg);CHKERRQ(ierr); 108 if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error: MatMatMult()"); 109 ierr = MatDestroy(&A);CHKERRQ(ierr); 110 ierr = MatDestroy(&C);CHKERRQ(ierr); 111 } 112 113 /* Create P and R = P^T */ 114 /* --------------------- */ 115 PN = M/2; 116 nzp = 5; /* num of nonzeros in each row of P */ 117 ierr = MatCreate(PETSC_COMM_WORLD,&P);CHKERRQ(ierr); 118 ierr = MatSetSizes(P,PETSC_DECIDE,PETSC_DECIDE,M,PN);CHKERRQ(ierr); 119 ierr = MatSetType(P,mattype);CHKERRQ(ierr); 120 ierr = MatSeqAIJSetPreallocation(P,nzp,NULL);CHKERRQ(ierr); 121 ierr = MatMPIAIJSetPreallocation(P,nzp,NULL,nzp,NULL);CHKERRQ(ierr); 122 ierr = MatGetOwnershipRange(P,&rstart,&rend);CHKERRQ(ierr); 123 for (i=0; i<nzp; i++) { 124 ierr = PetscRandomGetValue(rdm,&a[i]);CHKERRQ(ierr); 125 } 126 for (i=rstart; i<rend; i++) { 127 for (j=0; j<nzp; j++) { 128 ierr = PetscRandomGetValue(rdm,&rval);CHKERRQ(ierr); 129 idxn[j] = (PetscInt)(PetscRealPart(rval)*PN); 130 } 131 ierr = MatSetValues(P,1,&i,nzp,idxn,a,ADD_VALUES);CHKERRQ(ierr); 132 } 133 ierr = MatAssemblyBegin(P,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 134 ierr = MatAssemblyEnd(P,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 135 136 ierr = MatTranspose(P,MAT_INITIAL_MATRIX,&R);CHKERRQ(ierr); 137 138 /* 2) MatTransposeMatMult() */ 139 /* ------------------------ */ 140 if (Test_MatTrMat) { 141 /* (2.1) Test developer driver C = P^T*B */ 142 ierr = MatProductCreate(P,B,NULL,&C);CHKERRQ(ierr); 143 ierr = MatProductSetType(C,MATPRODUCT_AtB);CHKERRQ(ierr); 144 ierr = MatProductSetAlgorithm(C,"default");CHKERRQ(ierr); 145 ierr = MatProductSetFill(C,PETSC_DEFAULT);CHKERRQ(ierr); 146 ierr = MatProductSetFromOptions(C);CHKERRQ(ierr); 147 ierr = MatProductSymbolic(C);CHKERRQ(ierr); 148 ierr = MatProductNumeric(C);CHKERRQ(ierr); 149 ierr = MatProductNumeric(C);CHKERRQ(ierr); 150 ierr = MatTransposeMatMultEqual(P,B,C,10,&flg);CHKERRQ(ierr); 151 if (!flg) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_PLIB,"Error: developer driver C = P^T*B"); 152 ierr = MatDestroy(&C);CHKERRQ(ierr); 153 154 /* (2.2) Test user driver C = P^T*B */ 155 ierr = MatTransposeMatMult(P,B,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&C);CHKERRQ(ierr); 156 ierr = MatTransposeMatMult(P,B,MAT_REUSE_MATRIX,PETSC_DEFAULT,&C);CHKERRQ(ierr); 157 ierr = MatGetInfo(C,MAT_GLOBAL_SUM,&info);CHKERRQ(ierr); 158 ierr = MatFreeIntermediateDataStructures(C);CHKERRQ(ierr); 159 160 /* Compare P^T*B and R*B */ 161 ierr = MatMatMult(R,B,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&C1);CHKERRQ(ierr); 162 ierr = MatNormDifference(C,C1,&norm);CHKERRQ(ierr); 163 if (norm > PETSC_SMALL) SETERRQ1(PETSC_COMM_WORLD,PETSC_ERR_PLIB,"Error in MatTransposeMatMult(): %g",(double)norm); 164 ierr = MatDestroy(&C1);CHKERRQ(ierr); 165 166 /* Test MatDuplicate() of C=P^T*B */ 167 ierr = MatDuplicate(C,MAT_COPY_VALUES,&C1);CHKERRQ(ierr); 168 ierr = MatDestroy(&C1);CHKERRQ(ierr); 169 ierr = MatDestroy(&C);CHKERRQ(ierr); 170 } 171 172 /* 3) MatTransposeMatMult() */ 173 /* ------------------------ */ 174 if (Test_MatMatTr) { 175 /* C = B*R^T */ 176 ierr = PetscObjectTypeCompare((PetscObject)B,MATSEQAIJ,&seqaij);CHKERRQ(ierr); 177 if (size == 1 && seqaij) { 178 ierr = MatMatTransposeMult(B,R,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&C);CHKERRQ(ierr); 179 ierr = MatSetOptionsPrefix(C,"matmatmulttr_");CHKERRQ(ierr); /* enable '-matmatmulttr_' for matrix C */ 180 ierr = MatGetInfo(C,MAT_GLOBAL_SUM,&info);CHKERRQ(ierr); 181 182 /* Test MAT_REUSE_MATRIX - reuse symbolic C */ 183 ierr = MatMatTransposeMult(B,R,MAT_REUSE_MATRIX,PETSC_DEFAULT,&C);CHKERRQ(ierr); 184 185 /* Check */ 186 ierr = MatMatMult(B,P,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&C1);CHKERRQ(ierr); 187 ierr = MatNormDifference(C,C1,&norm);CHKERRQ(ierr); 188 if (norm > PETSC_SMALL) SETERRQ1(PETSC_COMM_WORLD,PETSC_ERR_PLIB,"Error in MatMatTransposeMult() %g",(double)norm); 189 ierr = MatDestroy(&C1);CHKERRQ(ierr); 190 ierr = MatDestroy(&C);CHKERRQ(ierr); 191 } 192 } 193 194 /* 4) Test MatPtAP() */ 195 /*-------------------*/ 196 if (Test_MatPtAP) { 197 ierr = MatDuplicate(A_save,MAT_COPY_VALUES,&A);CHKERRQ(ierr); 198 199 /* (4.1) Test developer API */ 200 ierr = MatProductCreate(A,P,NULL,&C);CHKERRQ(ierr); 201 ierr = MatProductSetType(C,MATPRODUCT_PtAP);CHKERRQ(ierr); 202 ierr = MatProductSetAlgorithm(C,"default");CHKERRQ(ierr); 203 ierr = MatProductSetFill(C,PETSC_DEFAULT);CHKERRQ(ierr); 204 ierr = MatProductSetFromOptions(C);CHKERRQ(ierr); 205 ierr = MatProductSymbolic(C);CHKERRQ(ierr); 206 ierr = MatProductNumeric(C);CHKERRQ(ierr); 207 ierr = MatProductNumeric(C);CHKERRQ(ierr); /* reuse symbolic C */ 208 209 ierr = MatPtAPMultEqual(A,P,C,10,&flg);CHKERRQ(ierr); 210 if (!flg) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_PLIB,"Error in MatProduct_PtAP"); 211 ierr = MatDestroy(&C);CHKERRQ(ierr); 212 213 /* (4.2) Test user driver */ 214 ierr = MatPtAP(A,P,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&C);CHKERRQ(ierr); 215 216 /* Test MAT_REUSE_MATRIX - reuse symbolic C */ 217 alpha=1.0; 218 for (i=0; i<2; i++) { 219 alpha -= 0.1; 220 ierr = MatScale(A,alpha);CHKERRQ(ierr); 221 ierr = MatPtAP(A,P,MAT_REUSE_MATRIX,PETSC_DEFAULT,&C);CHKERRQ(ierr); 222 } 223 224 ierr = MatPtAPMultEqual(A,P,C,10,&flg);CHKERRQ(ierr); 225 if (!flg) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_PLIB,"Error in MatPtAP"); 226 227 /* 5) Test MatRARt() */ 228 /* ----------------- */ 229 if (Test_MatRARt) { 230 Mat RARt; 231 ierr = MatTranspose(P,MAT_REUSE_MATRIX,&R);CHKERRQ(ierr); 232 ierr = MatRARt(A,R,MAT_INITIAL_MATRIX,2.0,&RARt);CHKERRQ(ierr); 233 ierr = MatRARt(A,R,MAT_REUSE_MATRIX,2.0,&RARt);CHKERRQ(ierr); 234 ierr = MatNormDifference(C,RARt,&norm);CHKERRQ(ierr); 235 if (norm > PETSC_SMALL) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_PLIB,"|PtAP - RARt| = %g",(double)norm); 236 ierr = MatDestroy(&RARt);CHKERRQ(ierr); 237 } 238 239 ierr = MatDestroy(&A);CHKERRQ(ierr); 240 ierr = MatDestroy(&C);CHKERRQ(ierr); 241 } 242 243 /* Destroy objects */ 244 ierr = PetscRandomDestroy(&rdm);CHKERRQ(ierr); 245 ierr = PetscFree(idxn);CHKERRQ(ierr); 246 247 ierr = MatDestroy(&A_save);CHKERRQ(ierr); 248 ierr = MatDestroy(&B);CHKERRQ(ierr); 249 ierr = MatDestroy(&P);CHKERRQ(ierr); 250 ierr = MatDestroy(&R);CHKERRQ(ierr); 251 252 PetscFinalize(); 253 return ierr; 254 } 255 256 /*TEST 257 test: 258 suffix: 1 259 requires: datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 260 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium 261 output_file: output/ex62_1.out 262 263 test: 264 suffix: 2_ab_scalable 265 requires: datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 266 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -matproduct_ab_via scalable -matmatmult_via scalable -matproduct_atb_via outerproduct -mattransposematmult_via outerproduct 267 output_file: output/ex62_1.out 268 269 test: 270 suffix: 3_ab_scalable_fast 271 requires: datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 272 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -matproduct_ab_via scalable_fast -matmatmult_via scalable_fast -matmattransmult_via color 273 output_file: output/ex62_1.out 274 275 test: 276 suffix: 4_ab_heap 277 requires: datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 278 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -matproduct_ab_via heap -matmatmult_via heap -matproduct_ptap_via rap -matptap_via rap 279 output_file: output/ex62_1.out 280 281 test: 282 suffix: 5_ab_btheap 283 requires: datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 284 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -matproduct_ab_via btheap -matmatmult_via btheap -matrart_via r*art 285 output_file: output/ex62_1.out 286 287 test: 288 suffix: 6_ab_llcondensed 289 requires: datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 290 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -matproduct_ab_via llcondensed -matmatmult_via llcondensed -matrart_via coloring_rart 291 output_file: output/ex62_1.out 292 293 test: 294 suffix: 7_ab_rowmerge 295 requires: datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 296 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -matproduct_ab_via rowmerge -matmatmult_via rowmerge 297 output_file: output/ex62_1.out 298 299 test: 300 suffix: 8_ab_hypre 301 requires: hypre datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 302 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -matproduct_ab_via hypre -matmatmult_via hypre -matproduct_ptap_via hypre -matptap_via hypre 303 output_file: output/ex62_1.out 304 305 test: 306 suffix: 10 307 requires: datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 308 nsize: 3 309 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium 310 output_file: output/ex62_1.out 311 312 test: 313 suffix: 11_ab_scalable 314 requires: datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 315 nsize: 3 316 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -matproduct_ab_via scalable -matmatmult_via scalable -matproduct_atb_via scalable -mattransposematmult_via scalable 317 output_file: output/ex62_1.out 318 319 test: 320 suffix: 12_ab_seqmpi 321 requires: datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 322 nsize: 3 323 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -matproduct_ab_via seqmpi -matmatmult_via seqmpi -matproduct_atb_via at*b -mattransposematmult_via at*b 324 output_file: output/ex62_1.out 325 326 test: 327 suffix: 13_ab_hypre 328 requires: hypre datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 329 nsize: 3 330 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -matproduct_ab_via hypre -matmatmult_via hypre -matproduct_ptap_via hypre -matptap_via hypre 331 output_file: output/ex62_1.out 332 333 TEST*/ 334