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 <math.h> 6 #include <stdlib.h> 7 8 #include "t537-operator.h" 9 10 int main(int argc, char **argv) { 11 Ceed ceed; 12 CeedElemRestriction elem_restriction_x, elem_restriction_u, elem_restriction_q_data; 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_values[num_comp * num_comp * num_dofs * num_dofs]; 23 CeedScalar assembled_true[num_comp * num_comp * num_dofs * num_dofs]; 24 25 CeedInit(argv[1], &ceed); 26 27 // Vectors 28 CeedVectorCreate(ceed, dim * num_dofs, &x); 29 { 30 CeedScalar x_array[dim * num_dofs]; 31 32 for (CeedInt i = 0; i < n_x * 2 + 1; i++) { 33 for (CeedInt j = 0; j < n_y * 2 + 1; j++) { 34 x_array[i + j * (n_x * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_x); 35 x_array[i + j * (n_x * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_y); 36 } 37 } 38 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 39 } 40 CeedVectorCreate(ceed, num_comp * num_dofs, &u); 41 CeedVectorCreate(ceed, num_comp * num_dofs, &v); 42 CeedVectorCreate(ceed, num_qpts, &q_data); 43 44 // Restrictions 45 for (CeedInt i = 0; i < num_elem; i++) { 46 CeedInt col, row, offset; 47 col = i % n_x; 48 row = i / n_x; 49 offset = col * (p - 1) + row * (n_x * 2 + 1) * (p - 1); 50 for (CeedInt j = 0; j < p; j++) { 51 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (n_x * 2 + 1) + j; 52 } 53 } 54 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x); 55 CeedElemRestrictionCreate(ceed, num_elem, p * p, num_comp, num_dofs, num_comp * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, 56 &elem_restriction_u); 57 58 CeedInt strides_q_data[3] = {1, q * q, q * q}; 59 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data, &elem_restriction_q_data); 60 61 // Bases 62 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x); 63 CeedBasisCreateTensorH1Lagrange(ceed, dim, num_comp, p, q, CEED_GAUSS, &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, &op_setup); 78 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 79 CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 80 CeedOperatorSetField(op_setup, "rho", elem_restriction_q_data, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 81 82 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass); 83 CeedOperatorSetField(op_mass, "rho", elem_restriction_q_data, CEED_BASIS_COLLOCATED, q_data); 84 CeedOperatorSetField(op_mass, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 85 CeedOperatorSetField(op_mass, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 86 87 // Apply Setup Operator 88 CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE); 89 90 // Fuly assemble operator 91 CeedSize num_entries; 92 CeedInt *rows; 93 CeedInt *cols; 94 CeedVector assembled; 95 96 for (CeedInt k = 0; k < num_comp * num_comp * num_dofs * num_dofs; k++) { 97 assembled_values[k] = 0.0; 98 assembled_true[k] = 0.0; 99 } 100 CeedOperatorLinearAssembleSymbolic(op_mass, &num_entries, &rows, &cols); 101 CeedVectorCreate(ceed, num_entries, &assembled); 102 CeedOperatorLinearAssemble(op_mass, assembled); 103 { 104 const CeedScalar *assembled_array; 105 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 106 for (CeedInt k = 0; k < num_entries; ++k) assembled_values[rows[k] * num_comp * num_dofs + cols[k]] += assembled_array[k]; 107 CeedVectorRestoreArrayRead(assembled, &assembled_array); 108 } 109 110 // Manually assemble operator 111 CeedInt old_index = -1; 112 113 CeedVectorSetValue(u, 0.0); 114 for (CeedInt j = 0; j < num_dofs * num_comp; j++) { 115 CeedScalar *u_array; 116 const CeedScalar *v_array; 117 118 // Set input 119 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 120 CeedInt ind = j; 121 122 u_array[ind] = 1.0; 123 if (ind > 0) u_array[old_index] = 0.0; 124 old_index = ind; 125 CeedVectorRestoreArray(u, &u_array); 126 127 // Compute effect of DoF j 128 CeedOperatorApply(op_mass, u, v, CEED_REQUEST_IMMEDIATE); 129 130 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 131 for (CeedInt k = 0; k < num_dofs * num_comp; k++) assembled_true[j * num_dofs * num_comp + k] = v_array[k]; 132 CeedVectorRestoreArrayRead(v, &v_array); 133 } 134 135 // Check output 136 for (CeedInt i = 0; i < num_comp * num_dofs; i++) { 137 for (CeedInt j = 0; j < num_comp * num_dofs; j++) { 138 if (fabs(assembled_values[j * num_dofs * num_comp + i] - assembled_true[j * num_dofs * num_comp + i]) > 100. * CEED_EPSILON) { 139 // LCOV_EXCL_START 140 printf("[%" CeedInt_FMT ", %" CeedInt_FMT "] Error in assembly: %f != %f\n", i, j, assembled_values[j * num_dofs * num_comp + i], 141 assembled_true[j * num_dofs * num_comp + i]); 142 // LCOV_EXCL_STOP 143 } 144 } 145 } 146 147 // Cleanup 148 free(rows); 149 free(cols); 150 CeedVectorDestroy(&x); 151 CeedVectorDestroy(&q_data); 152 CeedVectorDestroy(&u); 153 CeedVectorDestroy(&v); 154 CeedVectorDestroy(&assembled); 155 CeedElemRestrictionDestroy(&elem_restriction_u); 156 CeedElemRestrictionDestroy(&elem_restriction_x); 157 CeedElemRestrictionDestroy(&elem_restriction_q_data); 158 CeedBasisDestroy(&basis_u); 159 CeedBasisDestroy(&basis_x); 160 CeedQFunctionDestroy(&qf_setup); 161 CeedQFunctionDestroy(&qf_mass); 162 CeedOperatorDestroy(&op_setup); 163 CeedOperatorDestroy(&op_mass); 164 CeedDestroy(&ceed); 165 return 0; 166 } 167