1 /// @file 2 /// Test assembly of mass matrix operator point block diagonal 3 /// \test Test assembly of mass matrix operator point block diagonal 4 #include <ceed.h> 5 #include <stdlib.h> 6 #include <math.h> 7 #include "t537-operator.h" 8 9 int main(int argc, char **argv) { 10 Ceed ceed; 11 CeedElemRestriction elem_restr_x, elem_restr_u, 12 elem_restr_qd_i; 13 CeedBasis basis_x, basis_u; 14 CeedQFunction qf_setup, qf_mass; 15 CeedOperator op_setup, op_mass; 16 CeedVector q_data, X, A, U, V; 17 CeedInt num_elem = 6, P = 3, Q = 4, dim = 2, num_comp = 2; 18 CeedInt nx = 3, ny = 2; 19 CeedInt num_dofs = (nx*2+1)*(ny*2+1), num_qpts = num_elem*Q*Q; 20 CeedInt ind_x[num_elem*P*P]; 21 CeedScalar x[dim*num_dofs], assembled_true[num_comp*num_comp*num_dofs]; 22 CeedScalar *u; 23 const CeedScalar *a, *v; 24 25 CeedInit(argv[1], &ceed); 26 27 // DoF Coordinates 28 for (CeedInt i=0; i<nx*2+1; i++) 29 for (CeedInt j=0; j<ny*2+1; j++) { 30 x[i+j*(nx*2+1)+0*num_dofs] = (CeedScalar) i / (2*nx); 31 x[i+j*(nx*2+1)+1*num_dofs] = (CeedScalar) j / (2*ny); 32 } 33 CeedVectorCreate(ceed, dim*num_dofs, &X); 34 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 35 36 // Qdata Vector 37 CeedVectorCreate(ceed, num_qpts, &q_data); 38 39 // Element Setup 40 for (CeedInt i=0; i<num_elem; i++) { 41 CeedInt col, row, offset; 42 col = i % nx; 43 row = i / nx; 44 offset = col*(P-1) + row*(nx*2+1)*(P-1); 45 for (CeedInt j=0; j<P; j++) 46 for (CeedInt k=0; k<P; k++) 47 ind_x[P*(P*i+k)+j] = offset + k*(nx*2+1) + j; 48 } 49 50 // Restrictions 51 CeedElemRestrictionCreate(ceed, num_elem, P*P, dim, num_dofs, dim*num_dofs, 52 CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x); 53 CeedElemRestrictionCreate(ceed, num_elem, P*P, num_comp, num_dofs, 54 num_comp*num_dofs, 55 CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_u); 56 CeedInt strides_qd[3] = {1, Q*Q, Q*Q}; 57 CeedElemRestrictionCreateStrided(ceed, num_elem, Q*Q, 1, num_qpts, strides_qd, 58 &elem_restr_qd_i); 59 60 // Bases 61 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &basis_x); 62 CeedBasisCreateTensorH1Lagrange(ceed, dim, num_comp, P, Q, CEED_GAUSS, 63 &basis_u); 64 65 // QFunctions 66 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 67 CeedQFunctionAddInput(qf_setup, "_weight", 1, CEED_EVAL_WEIGHT); 68 CeedQFunctionAddInput(qf_setup, "dx", dim*dim, CEED_EVAL_GRAD); 69 CeedQFunctionAddOutput(qf_setup, "rho", 1, CEED_EVAL_NONE); 70 71 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass); 72 CeedQFunctionAddInput(qf_mass, "rho", 1, CEED_EVAL_NONE); 73 CeedQFunctionAddInput(qf_mass, "u", num_comp, CEED_EVAL_INTERP); 74 CeedQFunctionAddOutput(qf_mass, "v", num_comp, CEED_EVAL_INTERP); 75 76 // Operators 77 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 78 &op_setup); 79 CeedOperatorSetField(op_setup, "_weight", CEED_ELEMRESTRICTION_NONE, basis_x, 80 CEED_VECTOR_NONE); 81 CeedOperatorSetField(op_setup, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 82 CeedOperatorSetField(op_setup, "rho", elem_restr_qd_i, CEED_BASIS_COLLOCATED, 83 CEED_VECTOR_ACTIVE); 84 85 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 86 &op_mass); 87 CeedOperatorSetField(op_mass, "rho", elem_restr_qd_i, CEED_BASIS_COLLOCATED, 88 q_data); 89 CeedOperatorSetField(op_mass, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 90 CeedOperatorSetField(op_mass, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 91 92 // Apply Setup Operator 93 CeedOperatorApply(op_setup, X, q_data, CEED_REQUEST_IMMEDIATE); 94 95 // Assemble diagonal 96 CeedVectorCreate(ceed, num_comp*num_comp*num_dofs, &A); 97 CeedOperatorLinearAssemblePointBlockDiagonal(op_mass, A, 98 CEED_REQUEST_IMMEDIATE); 99 100 // Manually assemble diagonal 101 CeedVectorCreate(ceed, num_comp*num_dofs, &U); 102 CeedVectorSetValue(U, 0.0); 103 CeedVectorCreate(ceed, num_comp*num_dofs, &V); 104 for (int i=0; i<num_comp*num_comp*num_dofs; i++) 105 assembled_true[i] = 0.0; 106 CeedInt ind_old = -1; 107 for (int i=0; i<num_dofs; i++) { 108 for (int j=0; j<num_comp; j++) { 109 // Set input 110 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 111 CeedInt ind = i + j*num_dofs; 112 u[ind] = 1.0; 113 if (ind > 0) 114 u[ind_old] = 0.0; 115 ind_old = ind; 116 CeedVectorRestoreArray(U, &u); 117 118 // Compute effect of DoF i, comp j 119 CeedOperatorApply(op_mass, U, V, CEED_REQUEST_IMMEDIATE); 120 121 // Retrieve entry 122 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 123 for (int k = 0; k<num_comp; k++) 124 assembled_true[i*num_comp*num_comp + k*num_comp + j] += v[i + k*num_dofs]; 125 CeedVectorRestoreArrayRead(V, &v); 126 } 127 } 128 129 // Check output 130 CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a); 131 for (int i=0; i<num_comp*num_comp*num_dofs; i++) 132 if (fabs(a[i] - assembled_true[i]) > 100.*CEED_EPSILON) 133 // LCOV_EXCL_START 134 printf("[%d] Error in assembly: %f != %f\n", i, a[i], assembled_true[i]); 135 // LCOV_EXCL_STOP 136 CeedVectorRestoreArrayRead(A, &a); 137 138 // Cleanup 139 CeedQFunctionDestroy(&qf_setup); 140 CeedQFunctionDestroy(&qf_mass); 141 CeedOperatorDestroy(&op_setup); 142 CeedOperatorDestroy(&op_mass); 143 CeedElemRestrictionDestroy(&elem_restr_u); 144 CeedElemRestrictionDestroy(&elem_restr_x); 145 CeedElemRestrictionDestroy(&elem_restr_qd_i); 146 CeedBasisDestroy(&basis_u); 147 CeedBasisDestroy(&basis_x); 148 CeedVectorDestroy(&X); 149 CeedVectorDestroy(&A); 150 CeedVectorDestroy(&q_data); 151 CeedVectorDestroy(&U); 152 CeedVectorDestroy(&V); 153 CeedDestroy(&ceed); 154 return 0; 155 } 156