Actual source code: ex104.c
1: static char help[] = "Test MatMatMult(), MatTranspose(), MatTransposeMatMult() for Dense and Elemental matrices.\n\n";
2: /*
3: Example:
4: mpiexec -n <np> ./ex104 -mat_type elemental
5: */
7: #include <petscmat.h>
9: int main(int argc, char **argv)
10: {
11: Mat A, B, C, D;
12: PetscInt i, M = 10, N = 5, j, nrows, ncols, am, an, rstart, rend;
13: PetscRandom r;
14: PetscBool equal, Aiselemental;
15: PetscReal fill = 1.0;
16: IS isrows, iscols;
17: const PetscInt *rows, *cols;
18: PetscScalar *v, rval;
19: #if defined(PETSC_HAVE_ELEMENTAL)
20: PetscBool Test_MatMatMult = PETSC_TRUE;
21: #else
22: PetscBool Test_MatMatMult = PETSC_FALSE;
23: #endif
24: PetscMPIInt size;
26: PetscFunctionBeginUser;
27: PetscCall(PetscInitialize(&argc, &argv, (char *)0, help));
28: PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD, &size));
30: PetscCall(PetscOptionsGetInt(NULL, NULL, "-M", &M, NULL));
31: PetscCall(PetscOptionsGetInt(NULL, NULL, "-N", &N, NULL));
32: PetscCall(MatCreate(PETSC_COMM_WORLD, &A));
33: PetscCall(MatSetSizes(A, PETSC_DECIDE, PETSC_DECIDE, M, N));
34: PetscCall(MatSetType(A, MATDENSE));
35: PetscCall(MatSetFromOptions(A));
36: PetscCall(MatSetUp(A));
37: PetscCall(PetscRandomCreate(PETSC_COMM_WORLD, &r));
38: PetscCall(PetscRandomSetFromOptions(r));
40: /* Set local matrix entries */
41: PetscCall(MatGetOwnershipIS(A, &isrows, &iscols));
42: PetscCall(ISGetLocalSize(isrows, &nrows));
43: PetscCall(ISGetIndices(isrows, &rows));
44: PetscCall(ISGetLocalSize(iscols, &ncols));
45: PetscCall(ISGetIndices(iscols, &cols));
46: PetscCall(PetscMalloc1(nrows * ncols, &v));
47: for (i = 0; i < nrows; i++) {
48: for (j = 0; j < ncols; j++) {
49: PetscCall(PetscRandomGetValue(r, &rval));
50: v[i * ncols + j] = rval;
51: }
52: }
53: PetscCall(MatSetValues(A, nrows, rows, ncols, cols, v, INSERT_VALUES));
54: PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
55: PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
56: PetscCall(ISRestoreIndices(isrows, &rows));
57: PetscCall(ISRestoreIndices(iscols, &cols));
58: PetscCall(ISDestroy(&isrows));
59: PetscCall(ISDestroy(&iscols));
60: PetscCall(PetscRandomDestroy(&r));
62: PetscCall(PetscObjectTypeCompare((PetscObject)A, MATELEMENTAL, &Aiselemental));
64: /* Test MatCreateTranspose() and MatTranspose() */
65: PetscCall(MatCreateTranspose(A, &C));
66: PetscCall(MatTranspose(A, MAT_INITIAL_MATRIX, &B)); /* B = A^T */
67: PetscCall(MatMultEqual(C, B, 10, &equal));
68: PetscCheck(equal, PETSC_COMM_SELF, PETSC_ERR_PLIB, "A^T*x != (x^T*A)^T");
69: PetscCall(MatDestroy(&B));
71: PetscCall(MatDuplicate(A, MAT_COPY_VALUES, &B));
72: if (!Aiselemental) {
73: PetscCall(MatTranspose(B, MAT_INPLACE_MATRIX, &B));
74: PetscCall(MatMultEqual(C, B, 10, &equal));
75: PetscCheck(equal, PETSC_COMM_SELF, PETSC_ERR_PLIB, "C*x != B*x");
76: }
77: PetscCall(MatDestroy(&B));
79: /* Test B = C*A for matrix type transpose and seqdense */
80: if (size == 1 && !Aiselemental) {
81: PetscCall(MatMatMult(C, A, MAT_INITIAL_MATRIX, fill, &B));
82: PetscCall(MatMatMultEqual(C, A, B, 10, &equal));
83: PetscCheck(equal, PETSC_COMM_SELF, PETSC_ERR_PLIB, "B != C*A for matrix type transpose and seqdense");
84: PetscCall(MatDestroy(&B));
85: }
86: PetscCall(MatDestroy(&C));
88: /* Test MatMatMult() */
89: if (Test_MatMatMult) {
90: #if !defined(PETSC_HAVE_ELEMENTAL)
91: PetscCheck(size == 1, PETSC_COMM_SELF, PETSC_ERR_SUP, "This test requires ELEMENTAL");
92: #endif
93: PetscCall(MatTranspose(A, MAT_INITIAL_MATRIX, &B)); /* B = A^T */
94: PetscCall(MatMatMult(B, A, MAT_INITIAL_MATRIX, fill, &C)); /* C = B*A = A^T*A */
95: PetscCall(MatMatMult(B, A, MAT_REUSE_MATRIX, fill, &C));
96: PetscCall(MatMatMultEqual(B, A, C, 10, &equal));
97: PetscCheck(equal, PETSC_COMM_SELF, PETSC_ERR_PLIB, "B*A*x != C*x");
99: /* Test MatDuplicate for matrix product */
100: PetscCall(MatDuplicate(C, MAT_COPY_VALUES, &D));
102: PetscCall(MatDestroy(&D));
103: PetscCall(MatDestroy(&C));
104: PetscCall(MatDestroy(&B));
105: }
107: /* Test MatTransposeMatMult() */
108: if (!Aiselemental) {
109: PetscCall(MatTransposeMatMult(A, A, MAT_INITIAL_MATRIX, fill, &D)); /* D = A^T*A */
110: PetscCall(MatTransposeMatMult(A, A, MAT_REUSE_MATRIX, fill, &D));
111: PetscCall(MatTransposeMatMultEqual(A, A, D, 10, &equal));
112: PetscCheck(equal, PETSC_COMM_SELF, PETSC_ERR_PLIB, "D*x != A^T*A*x");
114: /* Test MatDuplicate for matrix product */
115: PetscCall(MatDuplicate(D, MAT_COPY_VALUES, &C));
116: PetscCall(MatDestroy(&C));
117: PetscCall(MatDestroy(&D));
119: /* Test D*x = A^T*C*A*x, where C is in AIJ format */
120: PetscCall(MatGetLocalSize(A, &am, &an));
121: PetscCall(MatCreate(PETSC_COMM_WORLD, &C));
122: if (size == 1) {
123: PetscCall(MatSetSizes(C, PETSC_DECIDE, PETSC_DECIDE, am, am));
124: } else {
125: PetscCall(MatSetSizes(C, am, am, PETSC_DECIDE, PETSC_DECIDE));
126: }
127: PetscCall(MatSetFromOptions(C));
128: PetscCall(MatSetUp(C));
129: PetscCall(MatGetOwnershipRange(C, &rstart, &rend));
130: v[0] = 1.0;
131: for (i = rstart; i < rend; i++) PetscCall(MatSetValues(C, 1, &i, 1, &i, v, INSERT_VALUES));
132: PetscCall(MatAssemblyBegin(C, MAT_FINAL_ASSEMBLY));
133: PetscCall(MatAssemblyEnd(C, MAT_FINAL_ASSEMBLY));
135: /* B = C*A, D = A^T*B */
136: PetscCall(MatMatMult(C, A, MAT_INITIAL_MATRIX, 1.0, &B));
137: PetscCall(MatTransposeMatMult(A, B, MAT_INITIAL_MATRIX, fill, &D));
138: PetscCall(MatTransposeMatMultEqual(A, B, D, 10, &equal));
139: PetscCheck(equal, PETSC_COMM_SELF, PETSC_ERR_PLIB, "D*x != A^T*B*x");
141: PetscCall(MatDestroy(&D));
142: PetscCall(MatDestroy(&C));
143: PetscCall(MatDestroy(&B));
144: }
146: /* Test MatMatTransposeMult() */
147: if (!Aiselemental) {
148: PetscReal diff, scale;
149: PetscInt am, an, aM, aN;
151: PetscCall(MatGetLocalSize(A, &am, &an));
152: PetscCall(MatGetSize(A, &aM, &aN));
153: PetscCall(MatCreateDense(PetscObjectComm((PetscObject)A), PETSC_DECIDE, an, aM + 10, aN, NULL, &B));
154: PetscCall(MatSetRandom(B, NULL));
155: PetscCall(MatMatTransposeMult(A, B, MAT_INITIAL_MATRIX, fill, &D)); /* D = A*A^T */
157: /* Test MatDuplicate for matrix product */
158: PetscCall(MatDuplicate(D, MAT_COPY_VALUES, &C));
160: PetscCall(MatMatTransposeMult(A, B, MAT_REUSE_MATRIX, fill, &D));
161: PetscCall(MatAXPY(C, -1., D, SAME_NONZERO_PATTERN));
163: PetscCall(MatNorm(C, NORM_FROBENIUS, &diff));
164: PetscCall(MatNorm(D, NORM_FROBENIUS, &scale));
165: PetscCheck(diff <= PETSC_SMALL * scale, PetscObjectComm((PetscObject)D), PETSC_ERR_PLIB, "MatMatTransposeMult() differs between MAT_INITIAL_MATRIX and MAT_REUSE_MATRIX");
166: PetscCall(MatDestroy(&C));
168: PetscCall(MatMatTransposeMultEqual(A, B, D, 10, &equal));
169: PetscCheck(equal, PETSC_COMM_SELF, PETSC_ERR_PLIB, "D*x != A^T*A*x");
170: PetscCall(MatDestroy(&D));
171: PetscCall(MatDestroy(&B));
172: }
174: PetscCall(MatDestroy(&A));
175: PetscCall(PetscFree(v));
176: PetscCall(PetscFinalize());
177: return 0;
178: }
180: /*TEST
182: test:
183: output_file: output/ex104.out
185: test:
186: suffix: 2
187: nsize: 2
188: output_file: output/ex104.out
190: test:
191: suffix: 3
192: nsize: 4
193: output_file: output/ex104.out
194: args: -M 23 -N 31
196: test:
197: suffix: 4
198: nsize: 4
199: output_file: output/ex104.out
200: args: -M 23 -N 31 -matmattransmult_mpidense_mpidense_via cyclic
202: test:
203: suffix: 5
204: nsize: 4
205: output_file: output/ex104.out
206: args: -M 23 -N 31 -matmattransmult_mpidense_mpidense_via allgatherv
208: test:
209: suffix: 6
210: args: -mat_type elemental
211: requires: elemental
212: output_file: output/ex104.out
214: test:
215: suffix: 7
216: nsize: 2
217: args: -mat_type elemental
218: requires: elemental
219: output_file: output/ex104.out
221: TEST*/