Actual source code: ex9.c
1: static char help[] = "Tests MatCreateComposite()\n\n";
3: /*
4: Include "petscmat.h" so that we can use matrices.
5: automatically includes:
6: petscsys.h - base PETSc routines petscvec.h - vectors
7: petscmat.h - matrices
8: petscis.h - index sets petscviewer.h - viewers
9: */
10: #include <petscmat.h>
12: int main(int argc, char **args)
13: {
14: Mat *A, B; /* matrix */
15: Vec x, y, v, v2, z, z2;
16: PetscReal rnorm;
17: PetscInt n = 20; /* size of the matrix */
18: PetscInt nmat = 3; /* number of matrices */
19: PetscInt i;
20: PetscRandom rctx;
21: MatCompositeType type;
22: PetscScalar scalings[5] = {2, 3, 4, 5, 6};
24: PetscFunctionBeginUser;
25: PetscCall(PetscInitialize(&argc, &args, NULL, help));
26: PetscCall(PetscOptionsGetInt(NULL, NULL, "-n", &n, NULL));
27: PetscCall(PetscOptionsGetInt(NULL, NULL, "-nmat", &nmat, NULL));
29: /*
30: Create random matrices
31: */
32: PetscCall(PetscMalloc1(nmat + 3, &A));
33: PetscCall(PetscRandomCreate(PETSC_COMM_WORLD, &rctx));
34: PetscCall(MatCreateAIJ(PETSC_COMM_WORLD, PETSC_DECIDE, PETSC_DECIDE, n, n / 2, 3, NULL, 3, NULL, &A[0]));
35: for (i = 1; i < nmat + 1; i++) PetscCall(MatCreateAIJ(PETSC_COMM_WORLD, PETSC_DECIDE, PETSC_DECIDE, n, n, 3, NULL, 3, NULL, &A[i]));
36: PetscCall(MatCreateAIJ(PETSC_COMM_WORLD, PETSC_DECIDE, PETSC_DECIDE, n / 2, n, 3, NULL, 3, NULL, &A[nmat + 1]));
37: for (i = 0; i < nmat + 2; i++) PetscCall(MatSetRandom(A[i], rctx));
39: PetscCall(MatCreateVecs(A[1], &x, &y));
40: PetscCall(VecDuplicate(y, &z));
41: PetscCall(VecDuplicate(z, &z2));
42: PetscCall(MatCreateVecs(A[0], &v, NULL));
43: PetscCall(VecDuplicate(v, &v2));
45: /* Test MatMult of an ADDITIVE MatComposite B made up of A[1],A[2],A[3] with separate scalings */
47: /* Do MatMult with A[1],A[2],A[3] by hand and store the result in z */
48: PetscCall(VecSet(x, 1.0));
49: PetscCall(MatMult(A[1], x, z));
50: PetscCall(VecScale(z, scalings[1]));
51: for (i = 2; i < nmat + 1; i++) {
52: PetscCall(MatMult(A[i], x, z2));
53: PetscCall(VecAXPY(z, scalings[i], z2));
54: }
56: /* Do MatMult using MatComposite and store the result in y */
57: PetscCall(VecSet(y, 0.0));
58: PetscCall(MatCreateComposite(PETSC_COMM_WORLD, nmat, A + 1, &B));
59: PetscCall(MatSetFromOptions(B));
60: PetscCall(MatCompositeSetScalings(B, &scalings[1]));
61: PetscCall(MatMultAdd(B, x, y, y));
63: /* Diff y and z */
64: PetscCall(VecAXPY(y, -1.0, z));
65: PetscCall(VecNorm(y, NORM_2, &rnorm));
66: if (rnorm > 10000.0 * PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Error with composite add %g\n", (double)rnorm));
68: /* Test MatCompositeMerge on ADDITIVE MatComposite */
69: PetscCall(MatCompositeSetMatStructure(B, DIFFERENT_NONZERO_PATTERN)); /* default */
70: PetscCall(MatCompositeMerge(B));
71: PetscCall(MatMult(B, x, y));
72: PetscCall(MatDestroy(&B));
73: PetscCall(VecAXPY(y, -1.0, z));
74: PetscCall(VecNorm(y, NORM_2, &rnorm));
75: if (rnorm > 10000.0 * PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Error with composite add after merge %g\n", (double)rnorm));
77: /*
78: Test n x n/2 multiplicative composite B made up of A[0],A[1],A[2] with separate scalings
79: */
81: /* Do MatMult with A[0],A[1],A[2] by hand and store the result in z */
82: PetscCall(VecSet(v, 1.0));
83: PetscCall(MatMult(A[0], v, z));
84: PetscCall(VecScale(z, scalings[0]));
85: for (i = 1; i < nmat; i++) {
86: PetscCall(MatMult(A[i], z, y));
87: PetscCall(VecScale(y, scalings[i]));
88: PetscCall(VecCopy(y, z));
89: }
91: /* Do MatMult using MatComposite and store the result in y */
92: PetscCall(MatCreateComposite(PETSC_COMM_WORLD, nmat, A, &B));
93: PetscCall(MatCompositeSetType(B, MAT_COMPOSITE_MULTIPLICATIVE));
94: PetscCall(MatCompositeSetMergeType(B, MAT_COMPOSITE_MERGE_LEFT));
95: PetscCall(MatSetFromOptions(B));
96: PetscCall(MatCompositeSetScalings(B, &scalings[0]));
97: PetscCall(MatAssemblyBegin(B, MAT_FINAL_ASSEMBLY));
98: PetscCall(MatAssemblyEnd(B, MAT_FINAL_ASSEMBLY)); /* do MatCompositeMerge() if -mat_composite_merge 1 */
99: PetscCall(MatMult(B, v, y));
100: PetscCall(MatDestroy(&B));
102: /* Diff y and z */
103: PetscCall(VecAXPY(y, -1.0, z));
104: PetscCall(VecNorm(y, NORM_2, &rnorm));
105: if (rnorm > 10000.0 * PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Error with composite multiplicative %g\n", (double)rnorm));
107: /*
108: Test n/2 x n multiplicative composite B made up of A[2], A[3], A[4] without separate scalings
109: */
110: PetscCall(VecSet(x, 1.0));
111: PetscCall(MatMult(A[2], x, z));
112: for (i = 3; i < nmat + 1; i++) {
113: PetscCall(MatMult(A[i], z, y));
114: PetscCall(VecCopy(y, z));
115: }
116: PetscCall(MatMult(A[nmat + 1], z, v));
118: PetscCall(MatCreateComposite(PETSC_COMM_WORLD, nmat, A + 2, &B));
119: PetscCall(MatCompositeSetType(B, MAT_COMPOSITE_MULTIPLICATIVE));
120: PetscCall(MatSetFromOptions(B));
121: PetscCall(MatAssemblyBegin(B, MAT_FINAL_ASSEMBLY));
122: PetscCall(MatAssemblyEnd(B, MAT_FINAL_ASSEMBLY)); /* do MatCompositeMerge() if -mat_composite_merge 1 */
123: PetscCall(MatMult(B, x, v2));
124: PetscCall(MatDestroy(&B));
126: PetscCall(VecAXPY(v2, -1.0, v));
127: PetscCall(VecNorm(v2, NORM_2, &rnorm));
128: if (rnorm > 10000.0 * PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Error with composite multiplicative %g\n", (double)rnorm));
130: /*
131: Test get functions
132: */
133: PetscCall(MatCreateComposite(PETSC_COMM_WORLD, nmat, A, &B));
134: PetscCall(MatCompositeGetNumberMat(B, &n));
135: if (nmat != n) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Error with GetNumberMat %" PetscInt_FMT " != %" PetscInt_FMT "\n", nmat, n));
136: PetscCall(MatCompositeGetMat(B, 0, &A[nmat + 2]));
137: if (A[0] != A[nmat + 2]) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Error with GetMat\n"));
138: PetscCall(MatCompositeGetType(B, &type));
139: if (type != MAT_COMPOSITE_ADDITIVE) PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Error with GetType\n"));
140: PetscCall(MatDestroy(&B));
142: /*
143: Free work space. All PETSc objects should be destroyed when they
144: are no longer needed.
145: */
146: PetscCall(VecDestroy(&x));
147: PetscCall(VecDestroy(&y));
148: PetscCall(VecDestroy(&v));
149: PetscCall(VecDestroy(&v2));
150: PetscCall(VecDestroy(&z));
151: PetscCall(VecDestroy(&z2));
152: PetscCall(PetscRandomDestroy(&rctx));
153: for (i = 0; i < nmat + 2; i++) PetscCall(MatDestroy(&A[i]));
154: PetscCall(PetscFree(A));
156: PetscCall(PetscFinalize());
157: return 0;
158: }
160: /*TEST
162: test:
163: nsize: 2
164: requires: double
165: args: -mat_composite_merge {{0 1}shared output} -mat_composite_merge_mvctx {{0 1}shared output}
167: TEST*/