1 2 static char help[] = "Tests MatCreateComposite()\n\n"; 3 4 /* 5 Include "petscmat.h" so that we can use matrices. 6 automatically includes: 7 petscsys.h - base PETSc routines petscvec.h - vectors 8 petscmat.h - matrices 9 petscis.h - index sets petscviewer.h - viewers 10 */ 11 #include <petscmat.h> 12 13 int main(int argc, char **args) { 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}; 23 24 PetscFunctionBeginUser; 25 PetscCall(PetscInitialize(&argc, &args, (char *)0, help)); 26 PetscCall(PetscOptionsGetInt(NULL, NULL, "-n", &n, NULL)); 27 PetscCall(PetscOptionsGetInt(NULL, NULL, "-nmat", &nmat, NULL)); 28 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)); 38 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)); 44 45 /* Test MatMult of an ADDITIVE MatComposite B made up of A[1],A[2],A[3] with separate scalings */ 46 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 } 55 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)); 62 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)); 67 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)); 76 77 /* 78 Test n x n/2 multiplicative composite B made up of A[0],A[1],A[2] with separate scalings 79 */ 80 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 } 90 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)); 101 102 /* 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)); 106 107 /* 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)); 117 118 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)); 125 126 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)); 129 130 /* 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)); 141 142 /* 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)); 155 156 PetscCall(PetscFinalize()); 157 return 0; 158 } 159 160 /*TEST 161 162 test: 163 nsize: 2 164 requires: double 165 args: -mat_composite_merge {{0 1}shared output} -mat_composite_merge_mvctx {{0 1}shared output} 166 167 TEST*/ 168