1 /// @file 2 /// Test creation, action, and destruction for diffusion matrix operator 3 /// \test Test creation, action, and destruction for diffusion matrix operator 4 #include "t522-operator.h" 5 6 #include <ceed.h> 7 #include <math.h> 8 #include <stdio.h> 9 #include <stdlib.h> 10 11 #include "t320-basis.h" 12 13 /* The mesh comprises of two rows of 3 quadrilaterals followed by one row 14 of 6 triangles: 15 _ _ _ 16 |_|_|_| 17 |_|_|_| 18 |/|/|/| 19 20 */ 21 22 int main(int argc, char **argv) { 23 Ceed ceed; 24 CeedElemRestriction elem_restriction_x_tet, elem_restriction_u_tet, elem_restriction_q_data_tet, elem_restriction_x_hex, elem_restriction_u_hex, 25 elem_restriction_q_data_hex; 26 CeedBasis basis_x_tet, basis_u_tet, basis_x_hex, basis_u_hex; 27 CeedQFunction qf_setup_tet, qf_diff_tet, qf_setup_hex, qf_diff_hex; 28 CeedOperator op_setup_tet, op_diff_tet, op_setup_hex, op_diff_hex, op_setup, op_diff; 29 CeedVector q_data_tet, q_data_hex, x, u, v; 30 CeedInt num_elem_tet = 6, p_tet = 6, q_tet = 4, num_elem_hex = 6, p_hex = 3, q_hex = 4, dim = 2; 31 CeedInt n_x = 3, n_y = 3, n_x_tet = 3, n_y_tet = 1, n_x_hex = 3; 32 CeedInt row, col, offset; 33 CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts_tet = num_elem_tet * q_tet, num_qpts_hex = num_elem_hex * q_hex * q_hex; 34 CeedInt ind_x_tet[num_elem_tet * p_tet], ind_x_hex[num_elem_hex * p_hex * p_hex]; 35 CeedScalar q_ref[dim * q_tet], q_weight[q_tet]; 36 CeedScalar interp[p_tet * q_tet], grad[dim * p_tet * q_tet]; 37 38 CeedInit(argv[1], &ceed); 39 40 // Vectors 41 CeedVectorCreate(ceed, dim * num_dofs, &x); 42 { 43 CeedScalar x_array[dim * num_dofs]; 44 45 for (CeedInt i = 0; i < n_y * 2 + 1; i++) { 46 for (CeedInt j = 0; j < n_x * 2 + 1; j++) { 47 x_array[i + j * (n_y * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_y); 48 x_array[i + j * (n_y * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_x); 49 } 50 } 51 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 52 } 53 CeedVectorCreate(ceed, num_dofs, &u); 54 CeedVectorCreate(ceed, num_dofs, &v); 55 CeedVectorCreate(ceed, num_qpts_tet * dim * (dim + 1) / 2, &q_data_tet); 56 CeedVectorCreate(ceed, num_qpts_hex * dim * (dim + 1) / 2, &q_data_hex); 57 58 // Tet Elements 59 // -- Restrictions 60 for (CeedInt i = 0; i < num_elem_tet / 2; i++) { 61 col = i % n_x_tet; 62 row = i / n_x_tet; 63 offset = col * 2 + row * (n_x_tet * 2 + 1) * 2; 64 65 ind_x_tet[i * 2 * p_tet + 0] = 2 + offset; 66 ind_x_tet[i * 2 * p_tet + 1] = 9 + offset; 67 ind_x_tet[i * 2 * p_tet + 2] = 16 + offset; 68 ind_x_tet[i * 2 * p_tet + 3] = 1 + offset; 69 ind_x_tet[i * 2 * p_tet + 4] = 8 + offset; 70 ind_x_tet[i * 2 * p_tet + 5] = 0 + offset; 71 72 ind_x_tet[i * 2 * p_tet + 6] = 14 + offset; 73 ind_x_tet[i * 2 * p_tet + 7] = 7 + offset; 74 ind_x_tet[i * 2 * p_tet + 8] = 0 + offset; 75 ind_x_tet[i * 2 * p_tet + 9] = 15 + offset; 76 ind_x_tet[i * 2 * p_tet + 10] = 8 + offset; 77 ind_x_tet[i * 2 * p_tet + 11] = 16 + offset; 78 } 79 CeedElemRestrictionCreate(ceed, num_elem_tet, p_tet, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_tet, 80 &elem_restriction_x_tet); 81 CeedElemRestrictionCreate(ceed, num_elem_tet, p_tet, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_tet, &elem_restriction_u_tet); 82 83 CeedInt strides_q_data_tet[3] = {1, q_tet, q_tet * dim * (dim + 1) / 2}; 84 CeedElemRestrictionCreateStrided(ceed, num_elem_tet, q_tet, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts_tet, strides_q_data_tet, 85 &elem_restriction_q_data_tet); 86 87 // -- Bases 88 Build2DSimplex(q_ref, q_weight, interp, grad); 89 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, dim, p_tet, q_tet, interp, grad, q_ref, q_weight, &basis_x_tet); 90 91 Build2DSimplex(q_ref, q_weight, interp, grad); 92 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, 1, p_tet, q_tet, interp, grad, q_ref, q_weight, &basis_u_tet); 93 94 // -- QFunctions 95 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup_tet); 96 CeedQFunctionAddInput(qf_setup_tet, "weight", 1, CEED_EVAL_WEIGHT); 97 CeedQFunctionAddInput(qf_setup_tet, "dx", dim * dim, CEED_EVAL_GRAD); 98 CeedQFunctionAddOutput(qf_setup_tet, "rho", dim * (dim + 1) / 2, CEED_EVAL_NONE); 99 100 CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff_tet); 101 CeedQFunctionAddInput(qf_diff_tet, "rho", dim * (dim + 1) / 2, CEED_EVAL_NONE); 102 CeedQFunctionAddInput(qf_diff_tet, "u", dim, CEED_EVAL_GRAD); 103 CeedQFunctionAddOutput(qf_diff_tet, "v", dim, CEED_EVAL_GRAD); 104 105 // -- Operators 106 // ---- Setup Tet 107 CeedOperatorCreate(ceed, qf_setup_tet, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_tet); 108 CeedOperatorSetField(op_setup_tet, "weight", CEED_ELEMRESTRICTION_NONE, basis_x_tet, CEED_VECTOR_NONE); 109 CeedOperatorSetField(op_setup_tet, "dx", elem_restriction_x_tet, basis_x_tet, CEED_VECTOR_ACTIVE); 110 CeedOperatorSetField(op_setup_tet, "rho", elem_restriction_q_data_tet, CEED_BASIS_NONE, q_data_tet); 111 // ---- Diff Tet 112 CeedOperatorCreate(ceed, qf_diff_tet, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff_tet); 113 CeedOperatorSetField(op_diff_tet, "rho", elem_restriction_q_data_tet, CEED_BASIS_NONE, q_data_tet); 114 CeedOperatorSetField(op_diff_tet, "u", elem_restriction_u_tet, basis_u_tet, CEED_VECTOR_ACTIVE); 115 CeedOperatorSetField(op_diff_tet, "v", elem_restriction_u_tet, basis_u_tet, CEED_VECTOR_ACTIVE); 116 117 // Hex Elements 118 // -- Restrictions 119 for (CeedInt i = 0; i < num_elem_hex; i++) { 120 col = i % n_x_hex; 121 row = i / n_x_hex; 122 offset = (n_x_tet * 2 + 1) * (n_y_tet * 2) * (1 + row) + col * 2; 123 for (CeedInt j = 0; j < p_hex; j++) { 124 for (CeedInt k = 0; k < p_hex; k++) ind_x_hex[p_hex * (p_hex * i + k) + j] = offset + k * (n_x_hex * 2 + 1) + j; 125 } 126 } 127 CeedElemRestrictionCreate(ceed, num_elem_hex, p_hex * p_hex, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_hex, 128 &elem_restriction_x_hex); 129 CeedElemRestrictionCreate(ceed, num_elem_hex, p_hex * p_hex, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_hex, &elem_restriction_u_hex); 130 131 CeedInt strides_q_data_hex[3] = {1, q_hex * q_hex, q_hex * q_hex * dim * (dim + 1) / 2}; 132 CeedElemRestrictionCreateStrided(ceed, num_elem_hex, q_hex * q_hex, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts_hex, strides_q_data_hex, 133 &elem_restriction_q_data_hex); 134 135 // -- Bases 136 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p_hex, q_hex, CEED_GAUSS, &basis_x_hex); 137 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p_hex, q_hex, CEED_GAUSS, &basis_u_hex); 138 139 // -- QFunctions 140 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup_hex); 141 CeedQFunctionAddInput(qf_setup_hex, "weight", 1, CEED_EVAL_WEIGHT); 142 CeedQFunctionAddInput(qf_setup_hex, "dx", dim * dim, CEED_EVAL_GRAD); 143 CeedQFunctionAddOutput(qf_setup_hex, "rho", dim * (dim + 1) / 2, CEED_EVAL_NONE); 144 145 CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff_hex); 146 CeedQFunctionAddInput(qf_diff_hex, "rho", dim * (dim + 1) / 2, CEED_EVAL_NONE); 147 CeedQFunctionAddInput(qf_diff_hex, "u", dim, CEED_EVAL_GRAD); 148 CeedQFunctionAddOutput(qf_diff_hex, "v", dim, CEED_EVAL_GRAD); 149 150 // -- Operators 151 CeedOperatorCreate(ceed, qf_setup_hex, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_hex); 152 CeedOperatorSetField(op_setup_hex, "weight", CEED_ELEMRESTRICTION_NONE, basis_x_hex, CEED_VECTOR_NONE); 153 CeedOperatorSetField(op_setup_hex, "dx", elem_restriction_x_hex, basis_x_hex, CEED_VECTOR_ACTIVE); 154 CeedOperatorSetField(op_setup_hex, "rho", elem_restriction_q_data_hex, CEED_BASIS_NONE, q_data_hex); 155 156 CeedOperatorCreate(ceed, qf_diff_hex, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff_hex); 157 CeedOperatorSetField(op_diff_hex, "rho", elem_restriction_q_data_hex, CEED_BASIS_NONE, q_data_hex); 158 CeedOperatorSetField(op_diff_hex, "u", elem_restriction_u_hex, basis_u_hex, CEED_VECTOR_ACTIVE); 159 CeedOperatorSetField(op_diff_hex, "v", elem_restriction_u_hex, basis_u_hex, CEED_VECTOR_ACTIVE); 160 161 // Composite Operators 162 CeedCompositeOperatorCreate(ceed, &op_setup); 163 CeedCompositeOperatorAddSub(op_setup, op_setup_tet); 164 CeedCompositeOperatorAddSub(op_setup, op_setup_hex); 165 166 CeedCompositeOperatorCreate(ceed, &op_diff); 167 CeedCompositeOperatorAddSub(op_diff, op_diff_tet); 168 CeedCompositeOperatorAddSub(op_diff, op_diff_hex); 169 170 // Apply Setup Operator 171 CeedOperatorApply(op_setup, x, CEED_VECTOR_NONE, CEED_REQUEST_IMMEDIATE); 172 173 // Apply diff Operator 174 CeedVectorSetValue(u, 1.0); 175 CeedOperatorApply(op_diff, u, v, CEED_REQUEST_IMMEDIATE); 176 177 // Check output 178 { 179 const CeedScalar *v_array; 180 181 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 182 for (CeedInt i = 0; i < num_dofs; i++) { 183 if (fabs(v_array[i]) > 100. * CEED_EPSILON) printf("Computed: %f != True: 0.0\n", v_array[i]); 184 } 185 CeedVectorRestoreArrayRead(v, &v_array); 186 } 187 188 // Cleanup 189 CeedVectorDestroy(&x); 190 CeedVectorDestroy(&u); 191 CeedVectorDestroy(&v); 192 CeedVectorDestroy(&q_data_tet); 193 CeedVectorDestroy(&q_data_hex); 194 CeedElemRestrictionDestroy(&elem_restriction_u_tet); 195 CeedElemRestrictionDestroy(&elem_restriction_x_tet); 196 CeedElemRestrictionDestroy(&elem_restriction_q_data_tet); 197 CeedElemRestrictionDestroy(&elem_restriction_u_hex); 198 CeedElemRestrictionDestroy(&elem_restriction_x_hex); 199 CeedElemRestrictionDestroy(&elem_restriction_q_data_hex); 200 CeedBasisDestroy(&basis_u_tet); 201 CeedBasisDestroy(&basis_x_tet); 202 CeedBasisDestroy(&basis_u_hex); 203 CeedBasisDestroy(&basis_x_hex); 204 CeedQFunctionDestroy(&qf_setup_tet); 205 CeedQFunctionDestroy(&qf_diff_tet); 206 CeedOperatorDestroy(&op_setup_tet); 207 CeedOperatorDestroy(&op_diff_tet); 208 CeedQFunctionDestroy(&qf_setup_hex); 209 CeedQFunctionDestroy(&qf_diff_hex); 210 CeedOperatorDestroy(&op_setup_hex); 211 CeedOperatorDestroy(&op_diff_hex); 212 CeedOperatorDestroy(&op_setup); 213 CeedOperatorDestroy(&op_diff); 214 CeedDestroy(&ceed); 215 return 0; 216 } 217