1 /// @file 2 /// Test assembly of mass matrix operator (multi-component) see t537 3 /// \test Test assembly of mass matrix operator (multi-component) 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, U, V; 17 CeedInt P = 3, Q = 4, dim = 2, num_comp = 2; 18 CeedInt n_x = 1, n_y = 1; 19 CeedInt num_elem = n_x * n_y; 20 CeedInt num_dofs = (n_x*2+1)*(n_y*2+1), num_qpts = num_elem*Q*Q; 21 CeedInt ind_x[num_elem*P*P]; 22 CeedScalar assembled[num_comp*num_comp*num_dofs*num_dofs]; 23 CeedScalar x[dim*num_dofs], assembled_true[num_comp*num_comp*num_dofs*num_dofs]; 24 CeedScalar *u; 25 const CeedScalar *v; 26 27 CeedInit(argv[1], &ceed); 28 29 // DoF Coordinates 30 for (CeedInt i=0; i<n_x*2+1; i++) 31 for (CeedInt j=0; j<n_y*2+1; j++) { 32 x[i+j*(n_x*2+1)+0*num_dofs] = (CeedScalar) i / (2*n_x); 33 x[i+j*(n_x*2+1)+1*num_dofs] = (CeedScalar) j / (2*n_y); 34 } 35 CeedVectorCreate(ceed, dim*num_dofs, &X); 36 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 37 38 // Qdata Vector 39 CeedVectorCreate(ceed, num_qpts, &q_data); 40 41 // Element Setup 42 for (CeedInt i=0; i<num_elem; i++) { 43 CeedInt col, row, offset; 44 col = i % n_x; 45 row = i / n_x; 46 offset = col*(P-1) + row*(n_x*2+1)*(P-1); 47 for (CeedInt j=0; j<P; j++) 48 for (CeedInt k=0; k<P; k++) 49 ind_x[P*(P*i+k)+j] = offset + k*(n_x*2+1) + j; 50 } 51 52 // Restrictions 53 CeedElemRestrictionCreate(ceed, num_elem, P*P, dim, num_dofs, dim*num_dofs, 54 CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x); 55 CeedElemRestrictionCreate(ceed, num_elem, P*P, num_comp, num_dofs, 56 num_comp*num_dofs, 57 CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_u); 58 CeedInt strides_qd[3] = {1, Q*Q, Q*Q}; 59 CeedElemRestrictionCreateStrided(ceed, num_elem, Q*Q, 1, num_qpts, strides_qd, 60 &elem_restr_qd_i); 61 62 // Bases 63 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &basis_x); 64 CeedBasisCreateTensorH1Lagrange(ceed, dim, num_comp, P, Q, CEED_GAUSS, 65 &basis_u); 66 67 // QFunctions 68 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 69 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT); 70 CeedQFunctionAddInput(qf_setup, "dx", dim*dim, CEED_EVAL_GRAD); 71 CeedQFunctionAddOutput(qf_setup, "rho", 1, CEED_EVAL_NONE); 72 73 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass); 74 CeedQFunctionAddInput(qf_mass, "rho", 1, CEED_EVAL_NONE); 75 CeedQFunctionAddInput(qf_mass, "u", num_comp, CEED_EVAL_INTERP); 76 CeedQFunctionAddOutput(qf_mass, "v", num_comp, CEED_EVAL_INTERP); 77 78 // Operators 79 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 80 &op_setup); 81 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, 82 CEED_VECTOR_NONE); 83 CeedOperatorSetField(op_setup, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 84 CeedOperatorSetField(op_setup, "rho", elem_restr_qd_i, CEED_BASIS_COLLOCATED, 85 CEED_VECTOR_ACTIVE); 86 87 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 88 &op_mass); 89 CeedOperatorSetField(op_mass, "rho", elem_restr_qd_i, CEED_BASIS_COLLOCATED, 90 q_data); 91 CeedOperatorSetField(op_mass, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 92 CeedOperatorSetField(op_mass, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 93 94 // Apply Setup Operator 95 CeedOperatorApply(op_setup, X, q_data, CEED_REQUEST_IMMEDIATE); 96 97 // Fuly assemble operator 98 for (int k=0; k<num_comp*num_comp*num_dofs*num_dofs; ++k) { 99 assembled[k] = 0.0; 100 assembled_true[k] = 0.0; 101 } 102 CeedSize nentries; 103 CeedInt *rows; 104 CeedInt *cols; 105 CeedVector values; 106 CeedOperatorLinearAssembleSymbolic(op_mass, &nentries, &rows, &cols); 107 CeedVectorCreate(ceed, nentries, &values); 108 CeedOperatorLinearAssemble(op_mass, values); 109 const CeedScalar *vals; 110 CeedVectorGetArrayRead(values, CEED_MEM_HOST, &vals); 111 for (int k=0; k<nentries; ++k) { 112 assembled[rows[k]*num_comp*num_dofs + cols[k]] += vals[k]; 113 } 114 CeedVectorRestoreArrayRead(values, &vals); 115 116 // Manually assemble operator 117 CeedVectorCreate(ceed, num_comp*num_dofs, &U); 118 CeedVectorSetValue(U, 0.0); 119 CeedVectorCreate(ceed, num_comp*num_dofs, &V); 120 CeedInt indOld = -1; 121 for (int j=0; j<num_dofs*num_comp; j++) { 122 // Set input 123 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 124 CeedInt ind = j; 125 u[ind] = 1.0; 126 if (ind > 0) 127 u[indOld] = 0.0; 128 indOld = ind; 129 CeedVectorRestoreArray(U, &u); 130 131 // Compute effect of DoF j 132 CeedOperatorApply(op_mass, U, V, CEED_REQUEST_IMMEDIATE); 133 134 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 135 for (int k=0; k<num_dofs*num_comp; k++) { 136 assembled_true[j*num_dofs*num_comp + k] = v[k]; 137 } 138 CeedVectorRestoreArrayRead(V, &v); 139 } 140 141 // Check output 142 for (int i=0; i<num_comp*num_dofs; i++) 143 for (int j=0; j<num_comp*num_dofs; j++) 144 if (fabs(assembled[j*num_dofs*num_comp+i] - assembled_true[j*num_dofs*num_comp 145 +i]) > 146 100.*CEED_EPSILON) 147 // LCOV_EXCL_START 148 printf("[%d,%d] Error in assembly: %f != %f\n", i, j, 149 assembled[j*num_dofs*num_comp+i], assembled_true[j*num_dofs*num_comp+i]); 150 // LCOV_EXCL_STOP 151 152 // Cleanup 153 free(rows); 154 free(cols); 155 CeedVectorDestroy(&values); 156 CeedQFunctionDestroy(&qf_setup); 157 CeedQFunctionDestroy(&qf_mass); 158 CeedOperatorDestroy(&op_setup); 159 CeedOperatorDestroy(&op_mass); 160 CeedElemRestrictionDestroy(&elem_restr_u); 161 CeedElemRestrictionDestroy(&elem_restr_x); 162 CeedElemRestrictionDestroy(&elem_restr_qd_i); 163 CeedBasisDestroy(&basis_u); 164 CeedBasisDestroy(&basis_x); 165 CeedVectorDestroy(&X); 166 // CeedVectorDestroy(&A); 167 CeedVectorDestroy(&q_data); 168 CeedVectorDestroy(&U); 169 CeedVectorDestroy(&V); 170 CeedDestroy(&ceed); 171 return 0; 172 } 173