Actual source code: ex62.c

  1: static char help[] = "Test Matrix products for AIJ matrices\n\
  2: Input arguments are:\n\
  3:   -fA <input_file> -fB <input_file> -fC <input_file>: file to load\n\n";
  4: /* Example of usage:
  5:    ./ex62 -fA <A_binary> -fB <B_binary>
  6:    mpiexec -n 3 ./ex62 -fA medium -fB medium
  7: */

  9: #include <petscmat.h>

 11: /*
 12:      B = A - B
 13:      norm = norm(B)
 14: */
 15: PetscErrorCode MatNormDifference(Mat A, Mat B, PetscReal *norm)
 16: {
 17:   PetscFunctionBegin;
 18:   PetscCall(MatAXPY(B, -1.0, A, DIFFERENT_NONZERO_PATTERN));
 19:   PetscCall(MatNorm(B, NORM_FROBENIUS, norm));
 20:   PetscFunctionReturn(PETSC_SUCCESS);
 21: }

 23: int main(int argc, char **args)
 24: {
 25:   Mat          A, A_save, B, C, P, C1, R;
 26:   PetscViewer  viewer;
 27:   PetscMPIInt  size, rank;
 28:   PetscInt     i, j, *idxn, PM, PN = PETSC_DECIDE, rstart, rend;
 29:   PetscReal    norm;
 30:   PetscRandom  rdm;
 31:   char         file[2][PETSC_MAX_PATH_LEN] = {"", ""};
 32:   PetscScalar *a, rval, alpha;
 33:   PetscBool    Test_MatMatMult = PETSC_TRUE, Test_MatTrMat = PETSC_TRUE, Test_MatMatTr = PETSC_TRUE;
 34:   PetscBool    Test_MatPtAP = PETSC_TRUE, Test_MatRARt = PETSC_TRUE, flg, seqaij, flgA, flgB;
 35:   MatInfo      info;
 36:   PetscInt     nzp = 5; /* num of nonzeros in each row of P */
 37:   MatType      mattype;
 38:   const char  *deft = MATAIJ;
 39:   char         A_mattype[256], B_mattype[256];
 40:   PetscInt     mcheck = 10;

 42:   PetscFunctionBeginUser;
 43:   PetscCall(PetscInitialize(&argc, &args, NULL, help));
 44:   PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD, &size));
 45:   PetscCallMPI(MPI_Comm_rank(PETSC_COMM_WORLD, &rank));

 47:   /*  Load the matrices A_save and B */
 48:   PetscOptionsBegin(PETSC_COMM_WORLD, "", "", "");
 49:   PetscCall(PetscOptionsBool("-test_rart", "Test MatRARt", "", Test_MatRARt, &Test_MatRARt, NULL));
 50:   PetscCall(PetscOptionsInt("-PN", "Number of columns of P", "", PN, &PN, NULL));
 51:   PetscCall(PetscOptionsInt("-mcheck", "Number of matmult checks", "", mcheck, &mcheck, NULL));
 52:   PetscCall(PetscOptionsString("-fA", "Path for matrix A", "", file[0], file[0], sizeof(file[0]), &flg));
 53:   PetscCheck(flg, PETSC_COMM_WORLD, PETSC_ERR_USER_INPUT, "Must indicate a file name for matrix A with the -fA option.");
 54:   PetscCall(PetscOptionsString("-fB", "Path for matrix B", "", file[1], file[1], sizeof(file[1]), &flg));
 55:   PetscCall(PetscOptionsFList("-A_mat_type", "Matrix type", "MatSetType", MatList, deft, A_mattype, 256, &flgA));
 56:   PetscCall(PetscOptionsFList("-B_mat_type", "Matrix type", "MatSetType", MatList, deft, B_mattype, 256, &flgB));
 57:   PetscOptionsEnd();

 59:   PetscCall(PetscViewerBinaryOpen(PETSC_COMM_WORLD, file[0], FILE_MODE_READ, &viewer));
 60:   PetscCall(MatCreate(PETSC_COMM_WORLD, &A_save));
 61:   PetscCall(MatLoad(A_save, viewer));
 62:   PetscCall(PetscViewerDestroy(&viewer));

 64:   if (flg) {
 65:     PetscCall(PetscViewerBinaryOpen(PETSC_COMM_WORLD, file[1], FILE_MODE_READ, &viewer));
 66:     PetscCall(MatCreate(PETSC_COMM_WORLD, &B));
 67:     PetscCall(MatLoad(B, viewer));
 68:     PetscCall(PetscViewerDestroy(&viewer));
 69:   } else {
 70:     PetscCall(PetscObjectReference((PetscObject)A_save));
 71:     B = A_save;
 72:   }

 74:   if (flgA) PetscCall(MatConvert(A_save, A_mattype, MAT_INPLACE_MATRIX, &A_save));
 75:   if (flgB) PetscCall(MatConvert(B, B_mattype, MAT_INPLACE_MATRIX, &B));
 76:   PetscCall(MatSetFromOptions(A_save));
 77:   PetscCall(MatSetFromOptions(B));

 79:   PetscCall(MatGetType(B, &mattype));

 81:   PetscCall(PetscMalloc2(nzp, &idxn, nzp, &a));

 83:   PetscCall(PetscRandomCreate(PETSC_COMM_WORLD, &rdm));
 84:   PetscCall(PetscRandomSetFromOptions(rdm));

 86:   /* 1) MatMatMult() */
 87:   /* ----------------*/
 88:   if (Test_MatMatMult) {
 89:     PetscCall(MatDuplicate(A_save, MAT_COPY_VALUES, &A));

 91:     /* (1.1) Test developer API */
 92:     PetscCall(MatProductCreate(A, B, NULL, &C));
 93:     PetscCall(MatSetOptionsPrefix(C, "AB_"));
 94:     PetscCall(MatProductSetType(C, MATPRODUCT_AB));
 95:     PetscCall(MatProductSetAlgorithm(C, MATPRODUCTALGORITHMDEFAULT));
 96:     PetscCall(MatProductSetFill(C, PETSC_DETERMINE));
 97:     PetscCall(MatProductSetFromOptions(C));
 98:     /* we can inquire about MATOP_PRODUCTSYMBOLIC even if the destination matrix type has not been set yet */
 99:     PetscCall(MatHasOperation(C, MATOP_PRODUCTSYMBOLIC, &flg));
100:     PetscCall(MatProductSymbolic(C));
101:     PetscCall(MatProductNumeric(C));
102:     PetscCall(MatMatMultEqual(A, B, C, mcheck, &flg));
103:     PetscCheck(flg, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error in C=A*B");

105:     /* Test reuse symbolic C */
106:     alpha = 0.9;
107:     PetscCall(MatScale(A, alpha));
108:     PetscCall(MatProductNumeric(C));

110:     PetscCall(MatMatMultEqual(A, B, C, mcheck, &flg));
111:     PetscCheck(flg, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error in C=A*B");
112:     PetscCall(MatDestroy(&C));

114:     /* (1.2) Test user driver */
115:     PetscCall(MatMatMult(A, B, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &C));

117:     /* Test MAT_REUSE_MATRIX - reuse symbolic C */
118:     alpha = 1.0;
119:     for (i = 0; i < 2; i++) {
120:       alpha -= 0.1;
121:       PetscCall(MatScale(A, alpha));
122:       PetscCall(MatMatMult(A, B, MAT_REUSE_MATRIX, PETSC_DETERMINE, &C));
123:     }
124:     PetscCall(MatMatMultEqual(A, B, C, mcheck, &flg));
125:     PetscCheck(flg, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error: MatMatMult()");
126:     PetscCall(MatDestroy(&A));

128:     /* Test MatProductClear() */
129:     PetscCall(MatProductClear(C));
130:     PetscCall(MatDestroy(&C));

132:     /* Test MatMatMult() for dense and aij matrices */
133:     PetscCall(PetscObjectTypeCompareAny((PetscObject)A, &flg, MATSEQAIJ, MATMPIAIJ, ""));
134:     if (flg) {
135:       PetscCall(MatConvert(A_save, MATDENSE, MAT_INITIAL_MATRIX, &A));
136:       PetscCall(MatMatMult(A, B, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &C));
137:       PetscCall(MatDestroy(&C));
138:       PetscCall(MatDestroy(&A));
139:     }
140:   }

142:   /* Create P and R = P^T  */
143:   /* --------------------- */
144:   PetscCall(MatGetSize(B, &PM, NULL));
145:   if (PN < 0) PN = PM / 2;
146:   PetscCall(MatCreate(PETSC_COMM_WORLD, &P));
147:   PetscCall(MatSetSizes(P, PETSC_DECIDE, PETSC_DECIDE, PM, PN));
148:   PetscCall(MatSetType(P, MATAIJ));
149:   PetscCall(MatSeqAIJSetPreallocation(P, nzp, NULL));
150:   PetscCall(MatMPIAIJSetPreallocation(P, nzp, NULL, nzp, NULL));
151:   PetscCall(MatGetOwnershipRange(P, &rstart, &rend));
152:   for (i = 0; i < nzp; i++) PetscCall(PetscRandomGetValue(rdm, &a[i]));
153:   for (i = rstart; i < rend; i++) {
154:     for (j = 0; j < nzp; j++) {
155:       PetscCall(PetscRandomGetValue(rdm, &rval));
156:       idxn[j] = (PetscInt)(PetscRealPart(rval) * PN);
157:     }
158:     PetscCall(MatSetValues(P, 1, &i, nzp, idxn, a, ADD_VALUES));
159:   }
160:   PetscCall(MatAssemblyBegin(P, MAT_FINAL_ASSEMBLY));
161:   PetscCall(MatAssemblyEnd(P, MAT_FINAL_ASSEMBLY));

163:   PetscCall(MatTranspose(P, MAT_INITIAL_MATRIX, &R));
164:   PetscCall(MatConvert(P, mattype, MAT_INPLACE_MATRIX, &P));
165:   PetscCall(MatConvert(R, mattype, MAT_INPLACE_MATRIX, &R));
166:   PetscCall(MatSetFromOptions(P));
167:   PetscCall(MatSetFromOptions(R));

169:   /* 2) MatTransposeMatMult() */
170:   /* ------------------------ */
171:   if (Test_MatTrMat) {
172:     /* (2.1) Test developer driver C = P^T*B */
173:     PetscCall(MatProductCreate(P, B, NULL, &C));
174:     PetscCall(MatSetOptionsPrefix(C, "AtB_"));
175:     PetscCall(MatProductSetType(C, MATPRODUCT_AtB));
176:     PetscCall(MatProductSetAlgorithm(C, MATPRODUCTALGORITHMDEFAULT));
177:     PetscCall(MatProductSetFill(C, PETSC_DETERMINE));
178:     PetscCall(MatProductSetFromOptions(C));
179:     PetscCall(MatHasOperation(C, MATOP_PRODUCTSYMBOLIC, &flg));
180:     if (flg) {                                                 /* run tests if supported */
181:       PetscCall(MatProductSymbolic(C));                        /* equivalent to MatSetUp() */
182:       PetscCall(MatSetOption(C, MAT_USE_INODES, PETSC_FALSE)); /* illustrate how to call MatSetOption() */
183:       PetscCall(MatProductNumeric(C));
184:       PetscCall(MatProductNumeric(C)); /* test reuse symbolic C */

186:       PetscCall(MatTransposeMatMultEqual(P, B, C, mcheck, &flg));
187:       PetscCheck(flg, PETSC_COMM_WORLD, PETSC_ERR_PLIB, "Error: developer driver C = P^T*B");
188:       PetscCall(MatDestroy(&C));

190:       /* (2.2) Test user driver C = P^T*B */
191:       PetscCall(MatTransposeMatMult(P, B, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &C));
192:       PetscCall(MatTransposeMatMult(P, B, MAT_REUSE_MATRIX, PETSC_DETERMINE, &C));
193:       PetscCall(MatGetInfo(C, MAT_GLOBAL_SUM, &info));
194:       PetscCall(MatProductClear(C));

196:       /* Compare P^T*B and R*B */
197:       PetscCall(MatMatMult(R, B, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &C1));
198:       PetscCall(MatNormDifference(C, C1, &norm));
199:       PetscCheck(norm <= PETSC_SMALL, PETSC_COMM_WORLD, PETSC_ERR_PLIB, "Error in MatTransposeMatMult(): %g", (double)norm);
200:       PetscCall(MatDestroy(&C1));

202:       /* Test MatDuplicate() of C=P^T*B */
203:       PetscCall(MatDuplicate(C, MAT_COPY_VALUES, &C1));
204:       PetscCall(MatDestroy(&C1));
205:     } else {
206:       PetscCall(PetscPrintf(PETSC_COMM_WORLD, "MatTransposeMatMult not supported\n"));
207:     }
208:     PetscCall(MatDestroy(&C));
209:   }

211:   /* 3) MatMatTransposeMult() */
212:   /* ------------------------ */
213:   if (Test_MatMatTr) {
214:     /* C = B*R^T */
215:     PetscCall(PetscObjectBaseTypeCompare((PetscObject)B, MATSEQAIJ, &seqaij));
216:     if (seqaij) {
217:       PetscCall(MatMatTransposeMult(B, R, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &C));
218:       PetscCall(MatSetOptionsPrefix(C, "ABt_")); /* enable '-ABt_' for matrix C */
219:       PetscCall(MatGetInfo(C, MAT_GLOBAL_SUM, &info));

221:       /* Test MAT_REUSE_MATRIX - reuse symbolic C */
222:       PetscCall(MatMatTransposeMult(B, R, MAT_REUSE_MATRIX, PETSC_DETERMINE, &C));

224:       /* Check */
225:       PetscCall(MatMatMult(B, P, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &C1));
226:       PetscCall(MatNormDifference(C, C1, &norm));
227:       PetscCheck(norm <= PETSC_SMALL, PETSC_COMM_WORLD, PETSC_ERR_PLIB, "Error in MatMatTransposeMult() %g", (double)norm);
228:       PetscCall(MatDestroy(&C1));
229:       PetscCall(MatDestroy(&C));
230:     }
231:   }

233:   /* 4) Test MatPtAP() */
234:   /*-------------------*/
235:   if (Test_MatPtAP) {
236:     PetscCall(MatDuplicate(A_save, MAT_COPY_VALUES, &A));

238:     /* (4.1) Test developer API */
239:     PetscCall(MatProductCreate(A, P, NULL, &C));
240:     PetscCall(MatSetOptionsPrefix(C, "PtAP_"));
241:     PetscCall(MatProductSetType(C, MATPRODUCT_PtAP));
242:     PetscCall(MatProductSetAlgorithm(C, MATPRODUCTALGORITHMDEFAULT));
243:     PetscCall(MatProductSetFill(C, PETSC_DETERMINE));
244:     PetscCall(MatProductSetFromOptions(C));
245:     PetscCall(MatProductSymbolic(C));
246:     PetscCall(MatProductNumeric(C));
247:     PetscCall(MatPtAPMultEqual(A, P, C, mcheck, &flg));
248:     PetscCheck(flg, PETSC_COMM_WORLD, PETSC_ERR_PLIB, "Error in MatProduct_PtAP");
249:     PetscCall(MatProductNumeric(C)); /* reuse symbolic C */

251:     PetscCall(MatPtAPMultEqual(A, P, C, mcheck, &flg));
252:     PetscCheck(flg, PETSC_COMM_WORLD, PETSC_ERR_PLIB, "Error in MatProduct_PtAP with reused symbolic");
253:     PetscCall(MatDestroy(&C));

255:     /* (4.2) Test user driver */
256:     PetscCall(MatPtAP(A, P, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &C));
257:     PetscCall(MatPtAPMultEqual(A, P, C, mcheck, &flg));
258:     PetscCheck(flg, PETSC_COMM_WORLD, PETSC_ERR_PLIB, "Error in MatPtAP with MAT_INITIAL_MATRIX");

260:     /* Test MAT_REUSE_MATRIX - reuse symbolic C */
261:     alpha = 1.0;
262:     for (i = 0; i < 2; i++) {
263:       alpha -= 0.1;
264:       PetscCall(MatScale(A, alpha));
265:       PetscCall(MatPtAP(A, P, MAT_REUSE_MATRIX, PETSC_DETERMINE, &C));
266:     }
267:     PetscCall(MatPtAPMultEqual(A, P, C, mcheck, &flg));
268:     PetscCheck(flg, PETSC_COMM_WORLD, PETSC_ERR_PLIB, "Error in MatPtAP with MAT_REUSE_MATRIX");

270:     /* 5) Test MatRARt() */
271:     /* ----------------- */
272:     if (Test_MatRARt) {
273:       Mat RARt;

275:       /* (5.1) Test developer driver RARt = R*A*Rt */
276:       PetscCall(MatProductCreate(A, R, NULL, &RARt));
277:       PetscCall(MatSetOptionsPrefix(RARt, "RARt_"));
278:       PetscCall(MatProductSetType(RARt, MATPRODUCT_RARt));
279:       PetscCall(MatProductSetAlgorithm(RARt, MATPRODUCTALGORITHMDEFAULT));
280:       PetscCall(MatProductSetFill(RARt, PETSC_DETERMINE));
281:       PetscCall(MatProductSetFromOptions(RARt));
282:       PetscCall(MatHasOperation(RARt, MATOP_PRODUCTSYMBOLIC, &flg));
283:       if (flg) {
284:         PetscCall(MatProductSymbolic(RARt));                        /* equivalent to MatSetUp() */
285:         PetscCall(MatSetOption(RARt, MAT_USE_INODES, PETSC_FALSE)); /* illustrate how to call MatSetOption() */
286:         PetscCall(MatProductNumeric(RARt));
287:         PetscCall(MatProductNumeric(RARt)); /* test reuse symbolic RARt */
288:         PetscCall(MatDestroy(&RARt));

290:         /* (2.2) Test user driver RARt = R*A*Rt */
291:         PetscCall(MatRARt(A, R, MAT_INITIAL_MATRIX, 2.0, &RARt));
292:         PetscCall(MatRARt(A, R, MAT_REUSE_MATRIX, 2.0, &RARt));

294:         PetscCall(MatNormDifference(C, RARt, &norm));
295:         PetscCheck(norm <= PETSC_SMALL, PETSC_COMM_SELF, PETSC_ERR_PLIB, "|PtAP - RARt| = %g", (double)norm);
296:       } else {
297:         PetscCall(PetscPrintf(PETSC_COMM_WORLD, "MatRARt not supported\n"));
298:       }
299:       PetscCall(MatDestroy(&RARt));
300:     }

302:     PetscCall(MatDestroy(&A));
303:     PetscCall(MatDestroy(&C));
304:   }

306:   /* Destroy objects */
307:   PetscCall(PetscRandomDestroy(&rdm));
308:   PetscCall(PetscFree2(idxn, a));

310:   PetscCall(MatDestroy(&A_save));
311:   PetscCall(MatDestroy(&B));
312:   PetscCall(MatDestroy(&P));
313:   PetscCall(MatDestroy(&R));

315:   PetscCall(PetscFinalize());
316:   return 0;
317: }

319: /*TEST
320:    test:
321:      suffix: 1
322:      requires: datafilespath !complex double !defined(PETSC_USE_64BIT_INDICES)
323:      args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium
324:      output_file: output/empty.out

326:    test:
327:      suffix: 2_ab_scalable
328:      requires: datafilespath !complex double !defined(PETSC_USE_64BIT_INDICES)
329:      args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -AB_mat_product_algorithm scalable -matmatmult_via scalable -AtB_mat_product_algorithm outerproduct -mattransposematmult_via outerproduct
330:      output_file: output/empty.out

332:    test:
333:      suffix: 3_ab_scalable_fast
334:      requires: datafilespath !complex double !defined(PETSC_USE_64BIT_INDICES)
335:      args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -AB_mat_product_algorithm scalable_fast -matmatmult_via scalable_fast -matmattransmult_via color
336:      output_file: output/empty.out

338:    test:
339:      suffix: 4_ab_heap
340:      requires: datafilespath !complex double !defined(PETSC_USE_64BIT_INDICES)
341:      args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -AB_mat_product_algorithm heap -matmatmult_via heap -PtAP_mat_product_algorithm rap -matptap_via rap
342:      output_file: output/empty.out

344:    test:
345:      suffix: 5_ab_btheap
346:      requires: datafilespath !complex double !defined(PETSC_USE_64BIT_INDICES)
347:      args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -AB_mat_product_algorithm btheap -matmatmult_via btheap -matrart_via r*art
348:      output_file: output/empty.out

350:    test:
351:      suffix: 6_ab_llcondensed
352:      requires: datafilespath !complex double !defined(PETSC_USE_64BIT_INDICES)
353:      args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -AB_mat_product_algorithm llcondensed -matmatmult_via llcondensed -matrart_via coloring_rart
354:      output_file: output/empty.out

356:    test:
357:      suffix: 7_ab_rowmerge
358:      requires: datafilespath !complex double !defined(PETSC_USE_64BIT_INDICES)
359:      args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -AB_mat_product_algorithm rowmerge -matmatmult_via rowmerge
360:      output_file: output/empty.out

362:    test:
363:      suffix: 8_ab_hypre
364:      requires: hypre datafilespath !complex double !defined(PETSC_USE_64BIT_INDICES)
365:      args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -AB_mat_product_algorithm hypre -matmatmult_via hypre -PtAP_mat_product_algorithm hypre -matptap_via hypre
366:      output_file: output/empty.out

368:    test:
369:      suffix: hypre_medium
370:      nsize: {{1 3}}
371:      requires: hypre datafilespath !complex double !defined(PETSC_USE_64BIT_INDICES)
372:      args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -A_mat_type hypre -B_mat_type hypre -test_rart 0
373:      output_file: output/ex62_hypre.out

375:    test:
376:      suffix: hypre_tiny
377:      nsize: {{1 3}}
378:      requires: hypre !complex double !defined(PETSC_USE_64BIT_INDICES)
379:      args: -fA ${wPETSC_DIR}/share/petsc/datafiles/matrices/tiny_system -fB ${wPETSC_DIR}/share/petsc/datafiles/matrices/tiny_system -A_mat_type hypre -B_mat_type hypre -test_rart 0
380:      output_file: output/ex62_hypre.out

382:    test:
383:      suffix: 9_mkl
384:      TODO: broken MatScale?
385:      requires: mkl_sparse datafilespath !complex double !defined(PETSC_USE_64BIT_INDICES)
386:      args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -A_mat_type aijmkl -B_mat_type aijmkl
387:      output_file: output/empty.out

389:    test:
390:      suffix: 10
391:      requires: datafilespath !complex double !defined(PETSC_USE_64BIT_INDICES)
392:      nsize: 3
393:      args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium
394:      output_file: output/empty.out

396:    test:
397:      suffix: 10_backend
398:      requires: datafilespath !complex double !defined(PETSC_USE_64BIT_INDICES)
399:      nsize: 3
400:      args: -fA ${DATAFILESPATH}/matrices/medium -AB_mat_product_algorithm backend -matmatmult_via backend -AtB_mat_product_algorithm backend -mattransposematmult_via backend -PtAP_mat_product_algorithm backend -matptap_via backend
401:      output_file: output/empty.out

403:    test:
404:      suffix: 11_ab_scalable
405:      requires: datafilespath !complex double !defined(PETSC_USE_64BIT_INDICES)
406:      nsize: 3
407:      args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -AB_mat_product_algorithm scalable -matmatmult_via scalable -AtB_mat_product_algorithm scalable -mattransposematmult_via scalable
408:      output_file: output/empty.out

410:    test:
411:      suffix: 12_ab_seqmpi
412:      requires: datafilespath !complex double !defined(PETSC_USE_64BIT_INDICES)
413:      nsize: 3
414:      args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -AB_mat_product_algorithm seqmpi -matmatmult_via seqmpi -AtB_mat_product_algorithm at*b -mattransposematmult_via at*b
415:      output_file: output/empty.out

417:    test:
418:      suffix: 13_ab_hypre
419:      requires: hypre datafilespath !complex double !defined(PETSC_USE_64BIT_INDICES)
420:      nsize: 3
421:      args: -fA ${DATAFILESPATH}/matrices/medium -fB ${DATAFILESPATH}/matrices/medium -AB_mat_product_algorithm hypre -matmatmult_via hypre -PtAP_mat_product_algorithm hypre -matptap_via hypre
422:      output_file: output/empty.out

424:    test:
425:      suffix: 14_seqaij
426:      requires: !complex double !defined(PETSC_USE_64BIT_INDICES)
427:      args: -fA ${wPETSC_DIR}/share/petsc/datafiles/matrices/tiny_system -fB ${wPETSC_DIR}/share/petsc/datafiles/matrices/tiny_system
428:      output_file: output/empty.out

430:    test:
431:      suffix: 14_seqaijcusparse
432:      requires: cuda !complex double !defined(PETSC_USE_64BIT_INDICES)
433:      args: -A_mat_type aijcusparse -B_mat_type aijcusparse -mat_form_explicit_transpose -fA ${wPETSC_DIR}/share/petsc/datafiles/matrices/tiny_system -fB ${wPETSC_DIR}/share/petsc/datafiles/matrices/tiny_system
434:      output_file: output/empty.out

436:    test:
437:      suffix: 14_seqaijcusparse_cpu
438:      requires: cuda !complex double !defined(PETSC_USE_64BIT_INDICES)
439:      args: -A_mat_type aijcusparse -B_mat_type aijcusparse -mat_form_explicit_transpose -fA ${wPETSC_DIR}/share/petsc/datafiles/matrices/tiny_system -fB ${wPETSC_DIR}/share/petsc/datafiles/matrices/tiny_system -AB_mat_product_algorithm_backend_cpu -matmatmult_backend_cpu -PtAP_mat_product_algorithm_backend_cpu -matptap_backend_cpu -RARt_mat_product_algorithm_backend_cpu -matrart_backend_cpu
440:      output_file: output/empty.out

442:    test:
443:      suffix: 14_mpiaijcusparse_seq
444:      nsize: 1
445:      requires: cuda !complex double !defined(PETSC_USE_64BIT_INDICES)
446:      args: -A_mat_type mpiaijcusparse -B_mat_type mpiaijcusparse -mat_form_explicit_transpose -fA ${wPETSC_DIR}/share/petsc/datafiles/matrices/tiny_system -fB ${wPETSC_DIR}/share/petsc/datafiles/matrices/tiny_system
447:      output_file: output/empty.out

449:    test:
450:      suffix: 14_mpiaijcusparse_seq_cpu
451:      nsize: 1
452:      requires: cuda !complex double !defined(PETSC_USE_64BIT_INDICES)
453:      args: -A_mat_type mpiaijcusparse -B_mat_type mpiaijcusparse -mat_form_explicit_transpose -fA ${wPETSC_DIR}/share/petsc/datafiles/matrices/tiny_system -fB ${wPETSC_DIR}/share/petsc/datafiles/matrices/tiny_system -AB_mat_product_algorithm_backend_cpu -matmatmult_backend_cpu -PtAP_mat_product_algorithm_backend_cpu -matptap_backend_cpu -test_rart 0
454:      output_file: output/empty.out

456:    test:
457:      suffix: 14_mpiaijcusparse
458:      nsize: 3
459:      requires: cuda !complex double !defined(PETSC_USE_64BIT_INDICES)
460:      args: -A_mat_type mpiaijcusparse -B_mat_type mpiaijcusparse -mat_form_explicit_transpose -fA ${wPETSC_DIR}/share/petsc/datafiles/matrices/tiny_system -fB ${wPETSC_DIR}/share/petsc/datafiles/matrices/tiny_system
461:      output_file: output/empty.out

463:    test:
464:      suffix: 14_mpiaijcusparse_cpu
465:      nsize: 3
466:      requires: cuda !complex double !defined(PETSC_USE_64BIT_INDICES)
467:      args: -A_mat_type mpiaijcusparse -B_mat_type mpiaijcusparse -mat_form_explicit_transpose -fA ${wPETSC_DIR}/share/petsc/datafiles/matrices/tiny_system -fB ${wPETSC_DIR}/share/petsc/datafiles/matrices/tiny_system -AB_mat_product_algorithm_backend_cpu -matmatmult_backend_cpu -PtAP_mat_product_algorithm_backend_cpu -matptap_backend_cpu -test_rart 0
468:      output_file: output/empty.out

470:    test:
471:      nsize: {{1 3}}
472:      suffix: 14_aijkokkos
473:      requires: kokkos_kernels !complex double !defined(PETSC_USE_64BIT_INDICES)
474:      args: -A_mat_type aijkokkos -B_mat_type aijkokkos -fA ${wPETSC_DIR}/share/petsc/datafiles/matrices/tiny_system -fB ${wPETSC_DIR}/share/petsc/datafiles/matrices/tiny_system
475:      output_file: output/empty.out

477:    # these tests use matrices with many zero rows
478:    test:
479:      suffix: 15_seqaijcusparse
480:      requires: cuda !complex double !defined(PETSC_USE_64BIT_INDICES) datafilespath
481:      args: -A_mat_type aijcusparse -mat_form_explicit_transpose -fA ${DATAFILESPATH}/matrices/matmatmult/A4.BGriffith
482:      output_file: output/empty.out

484:    test:
485:      suffix: 15_mpiaijcusparse_seq
486:      nsize: 1
487:      requires: cuda !complex double !defined(PETSC_USE_64BIT_INDICES) datafilespath
488:      args: -A_mat_type mpiaijcusparse -mat_form_explicit_transpose -fA ${DATAFILESPATH}/matrices/matmatmult/A4.BGriffith
489:      output_file: output/empty.out

491:    test:
492:      nsize: 3
493:      suffix: 15_mpiaijcusparse
494:      requires: cuda !complex double !defined(PETSC_USE_64BIT_INDICES) datafilespath
495:      args: -A_mat_type mpiaijcusparse -mat_form_explicit_transpose -fA ${DATAFILESPATH}/matrices/matmatmult/A4.BGriffith
496:      output_file: output/empty.out

498: TEST*/