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); 110 111 /* Test MatProductClear() */ 112 ierr = MatProductClear(C);CHKERRQ(ierr); 113 ierr = MatDestroy(&C);CHKERRQ(ierr); 114 115 /* Test MatMatMult() for dense and aij matrices */ 116 ierr = MatConvert(A_save,MATDENSE,MAT_INITIAL_MATRIX,&A);CHKERRQ(ierr); 117 ierr = MatMatMult(A,B,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&C);CHKERRQ(ierr); 118 ierr = MatDestroy(&C);CHKERRQ(ierr); 119 ierr = MatDestroy(&A);CHKERRQ(ierr); 120 121 } 122 123 /* Create P and R = P^T */ 124 /* --------------------- */ 125 PN = M/2; 126 nzp = 5; /* num of nonzeros in each row of P */ 127 ierr = MatCreate(PETSC_COMM_WORLD,&P);CHKERRQ(ierr); 128 ierr = MatSetSizes(P,PETSC_DECIDE,PETSC_DECIDE,M,PN);CHKERRQ(ierr); 129 ierr = MatSetType(P,mattype);CHKERRQ(ierr); 130 ierr = MatSeqAIJSetPreallocation(P,nzp,NULL);CHKERRQ(ierr); 131 ierr = MatMPIAIJSetPreallocation(P,nzp,NULL,nzp,NULL);CHKERRQ(ierr); 132 ierr = MatGetOwnershipRange(P,&rstart,&rend);CHKERRQ(ierr); 133 for (i=0; i<nzp; i++) { 134 ierr = PetscRandomGetValue(rdm,&a[i]);CHKERRQ(ierr); 135 } 136 for (i=rstart; i<rend; i++) { 137 for (j=0; j<nzp; j++) { 138 ierr = PetscRandomGetValue(rdm,&rval);CHKERRQ(ierr); 139 idxn[j] = (PetscInt)(PetscRealPart(rval)*PN); 140 } 141 ierr = MatSetValues(P,1,&i,nzp,idxn,a,ADD_VALUES);CHKERRQ(ierr); 142 } 143 ierr = MatAssemblyBegin(P,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 144 ierr = MatAssemblyEnd(P,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 145 146 ierr = MatTranspose(P,MAT_INITIAL_MATRIX,&R);CHKERRQ(ierr); 147 148 /* 2) MatTransposeMatMult() */ 149 /* ------------------------ */ 150 if (Test_MatTrMat) { 151 /* (2.1) Test developer driver C = P^T*B */ 152 ierr = MatProductCreate(P,B,NULL,&C);CHKERRQ(ierr); 153 ierr = MatProductSetType(C,MATPRODUCT_AtB);CHKERRQ(ierr); 154 ierr = MatProductSetAlgorithm(C,"default");CHKERRQ(ierr); 155 ierr = MatProductSetFill(C,PETSC_DEFAULT);CHKERRQ(ierr); 156 ierr = MatProductSetFromOptions(C);CHKERRQ(ierr); 157 ierr = MatProductSymbolic(C);CHKERRQ(ierr); /* equivalent to MatSetUp() */ 158 ierr = MatSetOption(C,MAT_USE_INODES,PETSC_FALSE);CHKERRQ(ierr); /* illustrate how to call MatSetOption() */ 159 ierr = MatProductNumeric(C);CHKERRQ(ierr); 160 ierr = MatProductNumeric(C);CHKERRQ(ierr); 161 ierr = MatTransposeMatMultEqual(P,B,C,10,&flg);CHKERRQ(ierr); 162 if (!flg) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_PLIB,"Error: developer driver C = P^T*B"); 163 ierr = MatDestroy(&C);CHKERRQ(ierr); 164 165 /* (2.2) Test user driver C = P^T*B */ 166 ierr = MatTransposeMatMult(P,B,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&C);CHKERRQ(ierr); 167 ierr = MatTransposeMatMult(P,B,MAT_REUSE_MATRIX,PETSC_DEFAULT,&C);CHKERRQ(ierr); 168 ierr = MatGetInfo(C,MAT_GLOBAL_SUM,&info);CHKERRQ(ierr); 169 ierr = MatFreeIntermediateDataStructures(C);CHKERRQ(ierr); 170 171 /* Compare P^T*B and R*B */ 172 ierr = MatMatMult(R,B,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&C1);CHKERRQ(ierr); 173 ierr = MatNormDifference(C,C1,&norm);CHKERRQ(ierr); 174 if (norm > PETSC_SMALL) SETERRQ1(PETSC_COMM_WORLD,PETSC_ERR_PLIB,"Error in MatTransposeMatMult(): %g",(double)norm); 175 ierr = MatDestroy(&C1);CHKERRQ(ierr); 176 177 /* Test MatDuplicate() of C=P^T*B */ 178 ierr = MatDuplicate(C,MAT_COPY_VALUES,&C1);CHKERRQ(ierr); 179 ierr = MatDestroy(&C1);CHKERRQ(ierr); 180 ierr = MatDestroy(&C);CHKERRQ(ierr); 181 } 182 183 /* 3) MatTransposeMatMult() */ 184 /* ------------------------ */ 185 if (Test_MatMatTr) { 186 /* C = B*R^T */ 187 ierr = PetscObjectTypeCompare((PetscObject)B,MATSEQAIJ,&seqaij);CHKERRQ(ierr); 188 if (size == 1 && seqaij) { 189 ierr = MatMatTransposeMult(B,R,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&C);CHKERRQ(ierr); 190 ierr = MatSetOptionsPrefix(C,"matmatmulttr_");CHKERRQ(ierr); /* enable '-matmatmulttr_' for matrix C */ 191 ierr = MatGetInfo(C,MAT_GLOBAL_SUM,&info);CHKERRQ(ierr); 192 193 /* Test MAT_REUSE_MATRIX - reuse symbolic C */ 194 ierr = MatMatTransposeMult(B,R,MAT_REUSE_MATRIX,PETSC_DEFAULT,&C);CHKERRQ(ierr); 195 196 /* Check */ 197 ierr = MatMatMult(B,P,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&C1);CHKERRQ(ierr); 198 ierr = MatNormDifference(C,C1,&norm);CHKERRQ(ierr); 199 if (norm > PETSC_SMALL) SETERRQ1(PETSC_COMM_WORLD,PETSC_ERR_PLIB,"Error in MatMatTransposeMult() %g",(double)norm); 200 ierr = MatDestroy(&C1);CHKERRQ(ierr); 201 ierr = MatDestroy(&C);CHKERRQ(ierr); 202 } 203 } 204 205 /* 4) Test MatPtAP() */ 206 /*-------------------*/ 207 if (Test_MatPtAP) { 208 ierr = MatDuplicate(A_save,MAT_COPY_VALUES,&A);CHKERRQ(ierr); 209 210 /* (4.1) Test developer API */ 211 ierr = MatProductCreate(A,P,NULL,&C);CHKERRQ(ierr); 212 ierr = MatProductSetType(C,MATPRODUCT_PtAP);CHKERRQ(ierr); 213 ierr = MatProductSetAlgorithm(C,"default");CHKERRQ(ierr); 214 ierr = MatProductSetFill(C,PETSC_DEFAULT);CHKERRQ(ierr); 215 ierr = MatProductSetFromOptions(C);CHKERRQ(ierr); 216 ierr = MatProductSymbolic(C);CHKERRQ(ierr); 217 ierr = MatProductNumeric(C);CHKERRQ(ierr); 218 ierr = MatProductNumeric(C);CHKERRQ(ierr); /* reuse symbolic C */ 219 220 ierr = MatPtAPMultEqual(A,P,C,10,&flg);CHKERRQ(ierr); 221 if (!flg) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_PLIB,"Error in MatProduct_PtAP"); 222 ierr = MatDestroy(&C);CHKERRQ(ierr); 223 224 /* (4.2) Test user driver */ 225 ierr = MatPtAP(A,P,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&C);CHKERRQ(ierr); 226 227 /* Test MAT_REUSE_MATRIX - reuse symbolic C */ 228 alpha=1.0; 229 for (i=0; i<2; i++) { 230 alpha -= 0.1; 231 ierr = MatScale(A,alpha);CHKERRQ(ierr); 232 ierr = MatPtAP(A,P,MAT_REUSE_MATRIX,PETSC_DEFAULT,&C);CHKERRQ(ierr); 233 } 234 235 ierr = MatPtAPMultEqual(A,P,C,10,&flg);CHKERRQ(ierr); 236 if (!flg) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_PLIB,"Error in MatPtAP"); 237 238 /* 5) Test MatRARt() */ 239 /* ----------------- */ 240 if (Test_MatRARt) { 241 Mat RARt; 242 ierr = MatTranspose(P,MAT_REUSE_MATRIX,&R);CHKERRQ(ierr); 243 ierr = MatRARt(A,R,MAT_INITIAL_MATRIX,2.0,&RARt);CHKERRQ(ierr); 244 ierr = MatRARt(A,R,MAT_REUSE_MATRIX,2.0,&RARt);CHKERRQ(ierr); 245 ierr = MatNormDifference(C,RARt,&norm);CHKERRQ(ierr); 246 if (norm > PETSC_SMALL) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_PLIB,"|PtAP - RARt| = %g",(double)norm); 247 ierr = MatDestroy(&RARt);CHKERRQ(ierr); 248 } 249 250 ierr = MatDestroy(&A);CHKERRQ(ierr); 251 ierr = MatDestroy(&C);CHKERRQ(ierr); 252 } 253 254 /* Destroy objects */ 255 ierr = PetscRandomDestroy(&rdm);CHKERRQ(ierr); 256 ierr = PetscFree(idxn);CHKERRQ(ierr); 257 258 ierr = MatDestroy(&A_save);CHKERRQ(ierr); 259 ierr = MatDestroy(&B);CHKERRQ(ierr); 260 ierr = MatDestroy(&P);CHKERRQ(ierr); 261 ierr = MatDestroy(&R);CHKERRQ(ierr); 262 263 PetscFinalize(); 264 return ierr; 265 } 266 267 /*TEST 268 test: 269 suffix: 1 270 requires: datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 271 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium 272 output_file: output/ex62_1.out 273 274 test: 275 suffix: 2_ab_scalable 276 requires: datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 277 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -matproduct_ab_via scalable -matmatmult_via scalable -matproduct_atb_via outerproduct -mattransposematmult_via outerproduct 278 output_file: output/ex62_1.out 279 280 test: 281 suffix: 3_ab_scalable_fast 282 requires: datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 283 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -matproduct_ab_via scalable_fast -matmatmult_via scalable_fast -matmattransmult_via color 284 output_file: output/ex62_1.out 285 286 test: 287 suffix: 4_ab_heap 288 requires: datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 289 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -matproduct_ab_via heap -matmatmult_via heap -matproduct_ptap_via rap -matptap_via rap 290 output_file: output/ex62_1.out 291 292 test: 293 suffix: 5_ab_btheap 294 requires: datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 295 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -matproduct_ab_via btheap -matmatmult_via btheap -matrart_via r*art 296 output_file: output/ex62_1.out 297 298 test: 299 suffix: 6_ab_llcondensed 300 requires: datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 301 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -matproduct_ab_via llcondensed -matmatmult_via llcondensed -matrart_via coloring_rart 302 output_file: output/ex62_1.out 303 304 test: 305 suffix: 7_ab_rowmerge 306 requires: datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 307 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -matproduct_ab_via rowmerge -matmatmult_via rowmerge 308 output_file: output/ex62_1.out 309 310 test: 311 suffix: 8_ab_hypre 312 requires: hypre datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 313 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -matproduct_ab_via hypre -matmatmult_via hypre -matproduct_ptap_via hypre -matptap_via hypre 314 output_file: output/ex62_1.out 315 316 test: 317 suffix: 10 318 requires: datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 319 nsize: 3 320 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium 321 output_file: output/ex62_1.out 322 323 test: 324 suffix: 11_ab_scalable 325 requires: datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 326 nsize: 3 327 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -matproduct_ab_via scalable -matmatmult_via scalable -matproduct_atb_via scalable -mattransposematmult_via scalable 328 output_file: output/ex62_1.out 329 330 test: 331 suffix: 12_ab_seqmpi 332 requires: datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 333 nsize: 3 334 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 335 output_file: output/ex62_1.out 336 337 test: 338 suffix: 13_ab_hypre 339 requires: hypre datafilespath !complex double !define(PETSC_USE_64BIT_INDICES) 340 nsize: 3 341 args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -matproduct_ab_via hypre -matmatmult_via hypre -matproduct_ptap_via hypre -matptap_via hypre 342 output_file: output/ex62_1.out 343 344 TEST*/ 345