1 /// @file 2 /// Test creation, action, and destruction for mass matrix operator with multigrid level, tensor basis 3 /// \test Test creation, action, and destruction for mass matrix operator with multigrid level, tensor basis 4 #include <ceed.h> 5 #include <math.h> 6 #include <stdio.h> 7 #include <stdlib.h> 8 9 #include "t502-operator.h" 10 11 int main(int argc, char **argv) { 12 Ceed ceed; 13 CeedElemRestriction elem_restriction_x, elem_restriction_q_data, elem_restriction_u_coarse, elem_restr_coarse_fine; 14 CeedBasis basis_x, basis_u; 15 CeedQFunction qf_setup, qf_mass; 16 CeedOperator op_setup, op_mass_coarse, op_mass_fine, op_prolong, op_restrict; 17 CeedVector q_data, x, u_coarse, u_fine, v_coarse, v_fine, p_mult_fine; 18 CeedInt num_elem = 15, p_coarse = 3, p_fine = 5, q = 8, num_comp = 2; 19 CeedInt num_dofs_x = num_elem + 1, num_dofs_u_coarse = num_elem * (p_coarse - 1) + 1, num_dofs_u_fine = num_elem * (p_fine - 1) + 1; 20 CeedInt ind_u_coarse[num_elem * p_coarse], ind_u_fine[num_elem * p_fine], ind_x[num_elem * 2]; 21 22 CeedInit(argv[1], &ceed); 23 24 CeedVectorCreate(ceed, num_dofs_x, &x); 25 { 26 CeedScalar x_array[num_dofs_x]; 27 28 for (CeedInt i = 0; i < num_dofs_x; i++) x_array[i] = (CeedScalar)i / (num_dofs_x - 1); 29 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 30 } 31 CeedVectorCreate(ceed, num_comp * num_dofs_u_fine, &p_mult_fine); 32 CeedVectorCreate(ceed, num_comp * num_dofs_u_coarse, &u_coarse); 33 CeedVectorCreate(ceed, num_comp * num_dofs_u_coarse, &v_coarse); 34 CeedVectorCreate(ceed, num_comp * num_dofs_u_fine, &u_fine); 35 CeedVectorCreate(ceed, num_comp * num_dofs_u_fine, &v_fine); 36 CeedVectorCreate(ceed, num_elem * q, &q_data); 37 38 // Restrictions 39 for (CeedInt i = 0; i < num_elem; i++) { 40 ind_x[2 * i + 0] = i; 41 ind_x[2 * i + 1] = i + 1; 42 } 43 CeedElemRestrictionCreate(ceed, num_elem, 2, 1, 1, num_dofs_x, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x); 44 45 for (CeedInt i = 0; i < num_elem; i++) { 46 for (CeedInt j = 0; j < p_coarse; j++) { 47 ind_u_coarse[p_coarse * i + j] = i * (p_coarse - 1) + j; 48 } 49 } 50 CeedElemRestrictionCreate(ceed, num_elem, p_coarse, num_comp, num_dofs_u_coarse, num_comp * num_dofs_u_coarse, CEED_MEM_HOST, CEED_USE_POINTER, 51 ind_u_coarse, &elem_restriction_u_coarse); 52 53 for (CeedInt i = 0; i < num_elem; i++) { 54 for (CeedInt j = 0; j < p_fine; j++) { 55 ind_u_fine[p_fine * i + j] = i * (p_fine - 1) + j; 56 } 57 } 58 CeedElemRestrictionCreate(ceed, num_elem, p_fine, num_comp, num_dofs_u_fine, num_comp * num_dofs_u_fine, CEED_MEM_HOST, CEED_USE_POINTER, 59 ind_u_fine, &elem_restr_coarse_fine); 60 61 CeedInt strides_q_data[3] = {1, q, q}; 62 CeedElemRestrictionCreateStrided(ceed, num_elem, q, 1, q * num_elem, strides_q_data, &elem_restriction_q_data); 63 64 // Bases 65 CeedBasisCreateTensorH1Lagrange(ceed, 1, 1, 2, q, CEED_GAUSS, &basis_x); 66 CeedBasisCreateTensorH1Lagrange(ceed, 1, num_comp, p_fine, q, CEED_GAUSS, &basis_u); 67 68 // QFunctions 69 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 70 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT); 71 CeedQFunctionAddInput(qf_setup, "dx", 1 * 1, CEED_EVAL_GRAD); 72 CeedQFunctionAddOutput(qf_setup, "q data", 1, CEED_EVAL_NONE); 73 74 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass); 75 CeedQFunctionAddInput(qf_mass, "q data", 1, CEED_EVAL_NONE); 76 CeedQFunctionAddInput(qf_mass, "u", num_comp, CEED_EVAL_INTERP); 77 CeedQFunctionAddOutput(qf_mass, "v", num_comp, CEED_EVAL_INTERP); 78 79 // Operators 80 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup); 81 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 82 CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 83 CeedOperatorSetField(op_setup, "q data", elem_restriction_q_data, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE); 84 85 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass_fine); 86 CeedOperatorSetField(op_mass_fine, "q data", elem_restriction_q_data, CEED_BASIS_NONE, q_data); 87 CeedOperatorSetField(op_mass_fine, "u", elem_restr_coarse_fine, basis_u, CEED_VECTOR_ACTIVE); 88 CeedOperatorSetField(op_mass_fine, "v", elem_restr_coarse_fine, basis_u, CEED_VECTOR_ACTIVE); 89 90 CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE); 91 92 // Create multigrid level 93 CeedVectorSetValue(p_mult_fine, 1.0); 94 CeedBasis basis_u_coarse, basis_coarse_to_fine; 95 CeedBasisCreateTensorH1Lagrange(ceed, 1, num_comp, p_coarse, q, CEED_GAUSS, &basis_u_coarse); 96 CeedBasisCreateTensorH1Lagrange(ceed, 1, num_comp, p_coarse, p_fine, CEED_GAUSS_LOBATTO, &basis_coarse_to_fine); 97 const CeedScalar *interp_coarse_to_fine; 98 CeedBasisGetInterp1D(basis_coarse_to_fine, &interp_coarse_to_fine); 99 CeedOperatorMultigridLevelCreateTensorH1(op_mass_fine, p_mult_fine, elem_restriction_u_coarse, basis_u_coarse, interp_coarse_to_fine, 100 &op_mass_coarse, &op_prolong, &op_restrict); 101 102 // Coarse problem 103 CeedVectorSetValue(u_coarse, 1.0); 104 CeedOperatorApply(op_mass_coarse, u_coarse, v_coarse, CEED_REQUEST_IMMEDIATE); 105 106 // Check output 107 { 108 const CeedScalar *v_array; 109 CeedScalar sum = 0.; 110 111 CeedVectorGetArrayRead(v_coarse, CEED_MEM_HOST, &v_array); 112 for (CeedInt i = 0; i < num_comp * num_dofs_u_coarse; i++) { 113 sum += v_array[i]; 114 } 115 CeedVectorRestoreArrayRead(v_coarse, &v_array); 116 if (fabs(sum - 2.) > 1000. * CEED_EPSILON) printf("Computed Area Coarse Grid: %f != True Area: 2.0\n", sum); 117 } 118 119 // Prolong coarse u 120 CeedOperatorApply(op_prolong, u_coarse, u_fine, CEED_REQUEST_IMMEDIATE); 121 122 // Fine problem 123 CeedOperatorApply(op_mass_fine, u_fine, v_fine, CEED_REQUEST_IMMEDIATE); 124 125 // Check output 126 { 127 const CeedScalar *v_array; 128 CeedScalar sum = 0.; 129 CeedVectorGetArrayRead(v_fine, CEED_MEM_HOST, &v_array); 130 for (CeedInt i = 0; i < num_comp * num_dofs_u_fine; i++) { 131 sum += v_array[i]; 132 } 133 CeedVectorRestoreArrayRead(v_fine, &v_array); 134 if (fabs(sum - 2.) > 1000. * CEED_EPSILON) printf("Computed Area Fine Grid: %f != True Area: 2.0\n", sum); 135 } 136 137 // Restrict state to coarse grid 138 CeedOperatorApply(op_restrict, v_fine, v_coarse, CEED_REQUEST_IMMEDIATE); 139 140 // Check output 141 { 142 const CeedScalar *v_array; 143 CeedScalar sum = 0.; 144 CeedVectorGetArrayRead(v_coarse, CEED_MEM_HOST, &v_array); 145 sum = 0.; 146 for (CeedInt i = 0; i < num_comp * num_dofs_u_coarse; i++) { 147 sum += v_array[i]; 148 } 149 CeedVectorRestoreArrayRead(v_coarse, &v_array); 150 if (fabs(sum - 2.) > 1000. * CEED_EPSILON) printf("Computed Area Coarse Grid: %f != True Area: 2.0\n", sum); 151 } 152 153 // Cleanup 154 CeedVectorDestroy(&x); 155 CeedVectorDestroy(&u_coarse); 156 CeedVectorDestroy(&u_fine); 157 CeedVectorDestroy(&v_coarse); 158 CeedVectorDestroy(&v_fine); 159 CeedVectorDestroy(&p_mult_fine); 160 CeedVectorDestroy(&q_data); 161 CeedElemRestrictionDestroy(&elem_restriction_u_coarse); 162 CeedElemRestrictionDestroy(&elem_restr_coarse_fine); 163 CeedElemRestrictionDestroy(&elem_restriction_x); 164 CeedElemRestrictionDestroy(&elem_restriction_q_data); 165 CeedBasisDestroy(&basis_u); 166 CeedBasisDestroy(&basis_x); 167 CeedBasisDestroy(&basis_u_coarse); 168 CeedBasisDestroy(&basis_coarse_to_fine); 169 CeedQFunctionDestroy(&qf_setup); 170 CeedQFunctionDestroy(&qf_mass); 171 CeedOperatorDestroy(&op_setup); 172 CeedOperatorDestroy(&op_mass_coarse); 173 CeedOperatorDestroy(&op_mass_fine); 174 CeedOperatorDestroy(&op_prolong); 175 CeedOperatorDestroy(&op_restrict); 176 CeedDestroy(&ceed); 177 return 0; 178 } 179