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