1 /// @file 2 /// Test full assembly of mass matrix operator 3 /// \test Test full assembly of mass matrix operator 4 #include <ceed.h> 5 #include <math.h> 6 #include <stdlib.h> 7 8 #include "t510-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; 18 CeedInt n_x = 3, n_y = 2; 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_dofs * num_dofs]; 23 CeedScalar assembled_true[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_dofs, &u); 41 CeedVectorCreate(ceed, 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, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u); 56 57 CeedInt strides_q_data[3] = {1, q * q, q * q}; 58 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data, &elem_restriction_q_data); 59 60 // Bases 61 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x); 62 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u); 63 64 // QFunctions 65 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 66 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT); 67 CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD); 68 CeedQFunctionAddOutput(qf_setup, "rho", 1, CEED_EVAL_NONE); 69 70 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass); 71 CeedQFunctionAddInput(qf_mass, "rho", 1, CEED_EVAL_NONE); 72 CeedQFunctionAddInput(qf_mass, "u", 1, CEED_EVAL_INTERP); 73 CeedQFunctionAddOutput(qf_mass, "v", 1, CEED_EVAL_INTERP); 74 75 // Operators 76 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup); 77 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 78 CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 79 CeedOperatorSetField(op_setup, "rho", elem_restriction_q_data, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 80 81 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass); 82 CeedOperatorSetField(op_mass, "rho", elem_restriction_q_data, CEED_BASIS_COLLOCATED, q_data); 83 CeedOperatorSetField(op_mass, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 84 CeedOperatorSetField(op_mass, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 85 86 // Apply Setup Operator 87 CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE); 88 89 // Fully assemble operator 90 CeedSize num_entries; 91 CeedInt *rows; 92 CeedInt *cols; 93 CeedVector assembled; 94 95 for (CeedInt k = 0; k < num_dofs * num_dofs; ++k) { 96 assembled_values[k] = 0.0; 97 assembled_true[k] = 0.0; 98 } 99 CeedOperatorLinearAssembleSymbolic(op_mass, &num_entries, &rows, &cols); 100 CeedVectorCreate(ceed, num_entries, &assembled); 101 CeedOperatorLinearAssemble(op_mass, assembled); 102 { 103 const CeedScalar *assembled_array; 104 105 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 106 for (CeedInt k = 0; k < num_entries; ++k) { 107 assembled_values[rows[k] * num_dofs + cols[k]] += assembled_array[k]; 108 } 109 CeedVectorRestoreArrayRead(assembled, &assembled_array); 110 } 111 112 // Manually assemble operator 113 CeedVectorSetValue(u, 0.0); 114 for (CeedInt i = 0; i < num_dofs; i++) { 115 CeedScalar *u_array; 116 const CeedScalar *v_array; 117 118 // Set input 119 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 120 u_array[i] = 1.0; 121 if (i) u_array[i - 1] = 0.0; 122 CeedVectorRestoreArray(u, &u_array); 123 124 // Compute entries for column i 125 CeedOperatorApply(op_mass, u, v, CEED_REQUEST_IMMEDIATE); 126 127 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 128 for (CeedInt k = 0; k < num_dofs; k++) assembled_true[i * num_dofs + k] = v_array[k]; 129 CeedVectorRestoreArrayRead(v, &v_array); 130 } 131 132 // Check output 133 for (CeedInt i = 0; i < num_dofs; i++) { 134 for (CeedInt j = 0; j < num_dofs; j++) { 135 if (fabs(assembled_values[j * num_dofs + i] - assembled_true[j * num_dofs + i]) > 100. * CEED_EPSILON) { 136 // LCOV_EXCL_START 137 printf("[%" CeedInt_FMT ", %" CeedInt_FMT "] Error in assembly: %f != %f\n", i, j, assembled_values[j * num_dofs + i], 138 assembled_true[j * num_dofs + i]); 139 // LCOV_EXCL_STOP 140 } 141 } 142 } 143 144 // Cleanup 145 free(rows); 146 free(cols); 147 CeedVectorDestroy(&x); 148 CeedVectorDestroy(&q_data); 149 CeedVectorDestroy(&u); 150 CeedVectorDestroy(&v); 151 CeedVectorDestroy(&assembled); 152 CeedElemRestrictionDestroy(&elem_restriction_u); 153 CeedElemRestrictionDestroy(&elem_restriction_x); 154 CeedElemRestrictionDestroy(&elem_restriction_q_data); 155 CeedBasisDestroy(&basis_u); 156 CeedBasisDestroy(&basis_x); 157 CeedQFunctionDestroy(&qf_setup); 158 CeedQFunctionDestroy(&qf_mass); 159 CeedOperatorDestroy(&op_setup); 160 CeedOperatorDestroy(&op_mass); 161 CeedDestroy(&ceed); 162 return 0; 163 } 164