1 /// @file 2 /// Test full assembly of mass matrix operator (multi-component) (see t537) 3 /// \test Test full assembly of mass matrix operator (multi-component) 4 #include <ceed.h> 5 #include <math.h> 6 #include <stdio.h> 7 #include <stdlib.h> 8 9 #include "t537-operator.h" 10 11 int main(int argc, char **argv) { 12 Ceed ceed; 13 CeedElemRestriction elem_restriction_x, elem_restriction_u, elem_restriction_q_data; 14 CeedBasis basis_x, basis_u; 15 CeedQFunction qf_setup, qf_mass; 16 CeedOperator op_setup, op_mass; 17 CeedVector q_data, x, u, v; 18 CeedInt p = 3, q = 4, dim = 2, num_comp = 2; 19 CeedInt n_x = 1, n_y = 1; 20 CeedInt num_elem = n_x * n_y; 21 CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts = num_elem * q * q; 22 CeedInt ind_x[num_elem * p * p]; 23 CeedScalar assembled_values[num_comp * num_comp * num_dofs * num_dofs]; 24 CeedScalar assembled_true[num_comp * num_comp * num_dofs * num_dofs]; 25 26 CeedInit(argv[1], &ceed); 27 28 // Vectors 29 CeedVectorCreate(ceed, dim * num_dofs, &x); 30 { 31 CeedScalar x_array[dim * num_dofs]; 32 33 for (CeedInt i = 0; i < n_x * 2 + 1; i++) { 34 for (CeedInt j = 0; j < n_y * 2 + 1; j++) { 35 x_array[i + j * (n_x * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_x); 36 x_array[i + j * (n_x * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_y); 37 } 38 } 39 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 40 } 41 CeedVectorCreate(ceed, num_comp * num_dofs, &u); 42 CeedVectorCreate(ceed, num_comp * num_dofs, &v); 43 CeedVectorCreate(ceed, num_qpts, &q_data); 44 45 // Restrictions 46 for (CeedInt i = 0; i < num_elem; i++) { 47 CeedInt col, row, offset; 48 col = i % n_x; 49 row = i / n_x; 50 offset = col * (p - 1) + row * (n_x * 2 + 1) * (p - 1); 51 for (CeedInt j = 0; j < p; j++) { 52 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (n_x * 2 + 1) + j; 53 } 54 } 55 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x); 56 CeedElemRestrictionCreate(ceed, num_elem, p * p, num_comp, num_dofs, num_comp * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, 57 &elem_restriction_u); 58 59 CeedInt strides_q_data[3] = {1, q * q, q * q}; 60 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data, &elem_restriction_q_data); 61 62 // Bases 63 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x); 64 CeedBasisCreateTensorH1Lagrange(ceed, dim, num_comp, p, q, CEED_GAUSS, &basis_u); 65 66 // QFunctions 67 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 68 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT); 69 CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD); 70 CeedQFunctionAddOutput(qf_setup, "rho", 1, CEED_EVAL_NONE); 71 72 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass); 73 CeedQFunctionAddInput(qf_mass, "rho", 1, CEED_EVAL_NONE); 74 CeedQFunctionAddInput(qf_mass, "u", num_comp, CEED_EVAL_INTERP); 75 CeedQFunctionAddOutput(qf_mass, "v", num_comp, CEED_EVAL_INTERP); 76 77 // Operators 78 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup); 79 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 80 CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 81 CeedOperatorSetField(op_setup, "rho", elem_restriction_q_data, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE); 82 83 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass); 84 CeedOperatorSetField(op_mass, "rho", elem_restriction_q_data, CEED_BASIS_NONE, q_data); 85 CeedOperatorSetField(op_mass, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 86 CeedOperatorSetField(op_mass, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 87 88 // Apply Setup Operator 89 CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE); 90 91 // Fuly assemble operator 92 CeedSize num_entries; 93 CeedInt *rows; 94 CeedInt *cols; 95 CeedVector assembled; 96 97 for (CeedInt k = 0; k < num_comp * num_comp * num_dofs * num_dofs; k++) { 98 assembled_values[k] = 0.0; 99 assembled_true[k] = 0.0; 100 } 101 CeedOperatorLinearAssembleSymbolic(op_mass, &num_entries, &rows, &cols); 102 CeedVectorCreate(ceed, num_entries, &assembled); 103 CeedOperatorLinearAssemble(op_mass, assembled); 104 { 105 const CeedScalar *assembled_array; 106 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 107 for (CeedInt k = 0; k < num_entries; ++k) assembled_values[rows[k] * num_comp * num_dofs + cols[k]] += assembled_array[k]; 108 CeedVectorRestoreArrayRead(assembled, &assembled_array); 109 } 110 111 // Manually assemble operator 112 CeedInt old_index = -1; 113 114 CeedVectorSetValue(u, 0.0); 115 for (CeedInt j = 0; j < num_dofs * num_comp; j++) { 116 CeedScalar *u_array; 117 const CeedScalar *v_array; 118 119 // Set input 120 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 121 CeedInt ind = j; 122 123 u_array[ind] = 1.0; 124 if (ind > 0) u_array[old_index] = 0.0; 125 old_index = ind; 126 CeedVectorRestoreArray(u, &u_array); 127 128 // Compute effect of DoF ind 129 CeedOperatorApply(op_mass, u, v, CEED_REQUEST_IMMEDIATE); 130 131 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 132 for (CeedInt i = 0; i < num_dofs * num_comp; i++) assembled_true[i * num_dofs * num_comp + j] = v_array[i]; 133 CeedVectorRestoreArrayRead(v, &v_array); 134 } 135 136 // Check output 137 for (CeedInt i = 0; i < num_comp * num_dofs; i++) { 138 for (CeedInt j = 0; j < num_comp * num_dofs; j++) { 139 if (fabs(assembled_values[i * num_dofs * num_comp + j] - assembled_true[i * num_dofs * num_comp + j]) > 100. * CEED_EPSILON) { 140 // LCOV_EXCL_START 141 printf("[%" CeedInt_FMT ", %" CeedInt_FMT "] Error in assembly: %f != %f\n", i, j, assembled_values[i * num_dofs * num_comp + j], 142 assembled_true[i * num_dofs * num_comp + j]); 143 // LCOV_EXCL_STOP 144 } 145 } 146 } 147 148 // Cleanup 149 free(rows); 150 free(cols); 151 CeedVectorDestroy(&x); 152 CeedVectorDestroy(&q_data); 153 CeedVectorDestroy(&u); 154 CeedVectorDestroy(&v); 155 CeedVectorDestroy(&assembled); 156 CeedElemRestrictionDestroy(&elem_restriction_u); 157 CeedElemRestrictionDestroy(&elem_restriction_x); 158 CeedElemRestrictionDestroy(&elem_restriction_q_data); 159 CeedBasisDestroy(&basis_u); 160 CeedBasisDestroy(&basis_x); 161 CeedQFunctionDestroy(&qf_setup); 162 CeedQFunctionDestroy(&qf_mass); 163 CeedOperatorDestroy(&op_setup); 164 CeedOperatorDestroy(&op_mass); 165 CeedDestroy(&ceed); 166 return 0; 167 } 168