1 /// @file 2 /// Test assembly of mass and Poisson operator QFunction 3 /// \test Test assembly of mass and Poisson operator QFunction 4 #include "t532-operator.h" 5 6 #include <ceed.h> 7 #include <math.h> 8 #include <stdio.h> 9 #include <stdlib.h> 10 11 int main(int argc, char **argv) { 12 Ceed ceed; 13 CeedElemRestriction elem_restriction_x, elem_restriction_u, elem_restriction_q_data_mass, elem_restriction_q_data_diff, elem_restriction_assembled; 14 CeedBasis basis_x, basis_u; 15 CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply, qf_apply_assembled; 16 CeedOperator op_setup_mass, op_setup_diff, op_apply, op_apply_assembled; 17 CeedVector q_data_mass, q_data_diff, x, assembled, u, v; 18 CeedInt num_elem = 6, p = 3, q = 4, dim = 2; 19 CeedInt nx = 3, ny = 2; 20 CeedInt num_dofs = (nx * 2 + 1) * (ny * 2 + 1), num_qpts = num_elem * q * q; 21 CeedInt ind_x[num_elem * p * p]; 22 23 CeedInit(argv[1], &ceed); 24 25 // Vectors 26 CeedVectorCreate(ceed, dim * num_dofs, &x); 27 { 28 CeedScalar x_array[dim * num_dofs]; 29 30 for (CeedInt i = 0; i < nx * 2 + 1; i++) { 31 for (CeedInt j = 0; j < ny * 2 + 1; j++) { 32 x_array[i + j * (nx * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * nx); 33 x_array[i + j * (nx * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * ny); 34 } 35 } 36 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 37 } 38 CeedVectorCreate(ceed, num_dofs, &u); 39 CeedVectorCreate(ceed, num_dofs, &v); 40 CeedVectorCreate(ceed, num_qpts, &q_data_mass); 41 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data_diff); 42 43 // Restrictions 44 for (CeedInt i = 0; i < num_elem; i++) { 45 CeedInt col, row, offset; 46 col = i % nx; 47 row = i / nx; 48 offset = col * (p - 1) + row * (nx * 2 + 1) * (p - 1); 49 for (CeedInt j = 0; j < p; j++) { 50 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (nx * 2 + 1) + j; 51 } 52 } 53 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x); 54 CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u); 55 56 CeedInt strides_q_data_mass[3] = {1, q * q, q * q}; 57 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data_mass, &elem_restriction_q_data_mass); 58 59 CeedInt strides_q_data_diff[3] = {1, q * q, q * q * dim * (dim + 1) / 2}; 60 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data_diff, 61 &elem_restriction_q_data_diff); 62 63 // Bases 64 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x); 65 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u); 66 67 // QFunction - setup mass 68 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, &qf_setup_mass); 69 CeedQFunctionAddInput(qf_setup_mass, "dx", dim * dim, CEED_EVAL_GRAD); 70 CeedQFunctionAddInput(qf_setup_mass, "weight", 1, CEED_EVAL_WEIGHT); 71 CeedQFunctionAddOutput(qf_setup_mass, "q data", 1, CEED_EVAL_NONE); 72 73 // Operator - setup mass 74 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass); 75 CeedOperatorSetField(op_setup_mass, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 76 CeedOperatorSetField(op_setup_mass, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 77 CeedOperatorSetField(op_setup_mass, "q data", elem_restriction_q_data_mass, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE); 78 79 // QFunction - setup diff 80 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, &qf_setup_diff); 81 CeedQFunctionAddInput(qf_setup_diff, "dx", dim * dim, CEED_EVAL_GRAD); 82 CeedQFunctionAddInput(qf_setup_diff, "weight", 1, CEED_EVAL_WEIGHT); 83 CeedQFunctionAddOutput(qf_setup_diff, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); 84 85 // Operator - setup diff 86 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff); 87 CeedOperatorSetField(op_setup_diff, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 88 CeedOperatorSetField(op_setup_diff, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 89 CeedOperatorSetField(op_setup_diff, "q data", elem_restriction_q_data_diff, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE); 90 91 // Apply Setup Operators 92 CeedOperatorApply(op_setup_mass, x, q_data_mass, CEED_REQUEST_IMMEDIATE); 93 CeedOperatorApply(op_setup_diff, x, q_data_diff, CEED_REQUEST_IMMEDIATE); 94 95 // QFunction - apply 96 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 97 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 98 CeedQFunctionAddInput(qf_apply, "mass q data", 1, CEED_EVAL_NONE); 99 CeedQFunctionAddInput(qf_apply, "diff q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); 100 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 101 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 102 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 103 104 // Operator - apply 105 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply); 106 CeedOperatorSetField(op_apply, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 107 CeedOperatorSetField(op_apply, "mass q data", elem_restriction_q_data_mass, CEED_BASIS_NONE, q_data_mass); 108 CeedOperatorSetField(op_apply, "diff q data", elem_restriction_q_data_diff, CEED_BASIS_NONE, q_data_diff); 109 CeedOperatorSetField(op_apply, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 110 CeedOperatorSetField(op_apply, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 111 CeedOperatorSetField(op_apply, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 112 113 // Apply original operator 114 CeedVectorSetValue(u, 1.0); 115 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE); 116 117 // Check output 118 { 119 const CeedScalar *v_array; 120 CeedScalar area = 0.0; 121 122 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 123 for (CeedInt i = 0; i < num_dofs; i++) area += v_array[i]; 124 CeedVectorRestoreArrayRead(v, &v_array); 125 if (fabs(area - 1.0) > 100. * CEED_EPSILON) printf("Error: True operator computed area = %f != 1.0\n", area); 126 } 127 128 // Assemble QFunction 129 CeedOperatorSetQFunctionAssemblyReuse(op_apply, true); 130 CeedOperatorLinearAssembleQFunction(op_apply, &assembled, &elem_restriction_assembled, CEED_REQUEST_IMMEDIATE); 131 132 // QFunction - apply assembled 133 CeedQFunctionCreateInterior(ceed, 1, apply_lin, apply_lin_loc, &qf_apply_assembled); 134 CeedQFunctionAddInput(qf_apply_assembled, "du", dim, CEED_EVAL_GRAD); 135 CeedQFunctionAddInput(qf_apply_assembled, "q data", (dim + 1) * (dim + 1), CEED_EVAL_NONE); 136 CeedQFunctionAddInput(qf_apply_assembled, "u", 1, CEED_EVAL_INTERP); 137 CeedQFunctionAddOutput(qf_apply_assembled, "v", 1, CEED_EVAL_INTERP); 138 CeedQFunctionAddOutput(qf_apply_assembled, "dv", dim, CEED_EVAL_GRAD); 139 140 // Operator - apply assembled 141 CeedOperatorCreate(ceed, qf_apply_assembled, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply_assembled); 142 CeedOperatorSetField(op_apply_assembled, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 143 CeedOperatorSetField(op_apply_assembled, "q data", elem_restriction_assembled, CEED_BASIS_NONE, assembled); 144 CeedOperatorSetField(op_apply_assembled, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 145 CeedOperatorSetField(op_apply_assembled, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 146 CeedOperatorSetField(op_apply_assembled, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 147 148 // Apply assembled QFunction operator 149 CeedVectorSetValue(v, 0.0); 150 CeedOperatorApply(op_apply_assembled, u, v, CEED_REQUEST_IMMEDIATE); 151 152 // Check output 153 { 154 const CeedScalar *v_array; 155 CeedScalar area = 0.0; 156 157 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 158 for (CeedInt i = 0; i < num_dofs; i++) area += v_array[i]; 159 CeedVectorRestoreArrayRead(v, &v_array); 160 if (fabs(area - 1.0) > 100. * CEED_EPSILON) printf("Error: Assembled operator computed area = %f != 1.0\n", area); 161 } 162 163 // Cleanup 164 CeedVectorDestroy(&x); 165 CeedVectorDestroy(&assembled); 166 CeedVectorDestroy(&q_data_mass); 167 CeedVectorDestroy(&q_data_diff); 168 CeedVectorDestroy(&u); 169 CeedVectorDestroy(&v); 170 CeedElemRestrictionDestroy(&elem_restriction_u); 171 CeedElemRestrictionDestroy(&elem_restriction_x); 172 CeedElemRestrictionDestroy(&elem_restriction_q_data_mass); 173 CeedElemRestrictionDestroy(&elem_restriction_q_data_diff); 174 CeedElemRestrictionDestroy(&elem_restriction_assembled); 175 CeedBasisDestroy(&basis_u); 176 CeedBasisDestroy(&basis_x); 177 CeedQFunctionDestroy(&qf_setup_mass); 178 CeedQFunctionDestroy(&qf_setup_diff); 179 CeedQFunctionDestroy(&qf_apply); 180 CeedQFunctionDestroy(&qf_apply_assembled); 181 CeedOperatorDestroy(&op_setup_mass); 182 CeedOperatorDestroy(&op_setup_diff); 183 CeedOperatorDestroy(&op_apply); 184 CeedOperatorDestroy(&op_apply_assembled); 185 CeedDestroy(&ceed); 186 return 0; 187 } 188