1 /// @file 2 /// Test full assembly of mass matrix operator (see t533) 3 /// \test Test full assembly of mass matrix operator 4 #include <ceed.h> 5 #include <math.h> 6 #include <stdio.h> 7 #include <stdlib.h> 8 9 #include "t510-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; 19 CeedInt n_x = 3, n_y = 2; 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_dofs * num_dofs]; 24 CeedScalar assembled_true[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_dofs, &u); 42 CeedVectorCreate(ceed, 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, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &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, 1, 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", 1, CEED_EVAL_INTERP); 74 CeedQFunctionAddOutput(qf_mass, "v", 1, 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_NONE, 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_NONE, 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 // Fully assemble operator 91 CeedSize num_entries; 92 CeedInt *rows; 93 CeedInt *cols; 94 CeedVector assembled; 95 96 for (CeedInt k = 0; k < 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; 105 106 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 107 for (CeedInt k = 0; k < num_entries; ++k) { 108 assembled_values[rows[k] * num_dofs + cols[k]] += assembled_array[k]; 109 } 110 CeedVectorRestoreArrayRead(assembled, &assembled_array); 111 } 112 113 // Manually assemble operator 114 CeedVectorSetValue(u, 0.0); 115 for (CeedInt j = 0; j < num_dofs; j++) { 116 CeedScalar *u_array; 117 const CeedScalar *v_array; 118 119 // Set input 120 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 121 u_array[j] = 1.0; 122 if (j) u_array[j - 1] = 0.0; 123 CeedVectorRestoreArray(u, &u_array); 124 125 // Compute entries for column j 126 CeedOperatorApply(op_mass, u, v, CEED_REQUEST_IMMEDIATE); 127 128 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 129 for (CeedInt i = 0; i < num_dofs; i++) assembled_true[i * num_dofs + j] = v_array[i]; 130 CeedVectorRestoreArrayRead(v, &v_array); 131 } 132 133 // Check output 134 for (CeedInt i = 0; i < num_dofs; i++) { 135 for (CeedInt j = 0; j < num_dofs; j++) { 136 if (fabs(assembled_values[i * num_dofs + j] - assembled_true[i * num_dofs + j]) > 100. * CEED_EPSILON) { 137 // LCOV_EXCL_START 138 printf("[%" CeedInt_FMT ", %" CeedInt_FMT "] Error in assembly: %f != %f\n", i, j, assembled_values[i * num_dofs + j], 139 assembled_true[i * num_dofs + j]); 140 // LCOV_EXCL_STOP 141 } 142 } 143 } 144 145 // Cleanup 146 free(rows); 147 free(cols); 148 CeedVectorDestroy(&x); 149 CeedVectorDestroy(&q_data); 150 CeedVectorDestroy(&u); 151 CeedVectorDestroy(&v); 152 CeedVectorDestroy(&assembled); 153 CeedElemRestrictionDestroy(&elem_restriction_u); 154 CeedElemRestrictionDestroy(&elem_restriction_x); 155 CeedElemRestrictionDestroy(&elem_restriction_q_data); 156 CeedBasisDestroy(&basis_u); 157 CeedBasisDestroy(&basis_x); 158 CeedQFunctionDestroy(&qf_setup); 159 CeedQFunctionDestroy(&qf_mass); 160 CeedOperatorDestroy(&op_setup); 161 CeedOperatorDestroy(&op_mass); 162 CeedDestroy(&ceed); 163 return 0; 164 } 165