1 /// @file 2 /// Test CeedOperatorApplyAdd for composite operator 3 /// \test CeedOperatorApplyAdd for composite operator 4 #include <ceed.h> 5 #include <math.h> 6 #include <stdio.h> 7 #include <stdlib.h> 8 9 #include "t320-basis.h" 10 #include "t510-operator.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_mass_tet, qf_setup_hex, qf_mass_hex; 27 CeedOperator op_setup_tet, op_mass_tet, op_setup_hex, op_mass_hex, op_setup, op_mass; 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 nx = 3, ny = 3, nx_tet = 3, ny_tet = 1, nx_hex = 3; 31 CeedInt row, col, offset; 32 CeedInt num_dofs = (nx * 2 + 1) * (ny * 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 for (CeedInt i = 0; i < ny * 2 + 1; i++) { 44 for (CeedInt j = 0; j < nx * 2 + 1; j++) { 45 x_array[i + j * (ny * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * ny); 46 x_array[i + j * (ny * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * nx); 47 } 48 } 49 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 50 } 51 CeedVectorCreate(ceed, num_dofs, &u); 52 CeedVectorCreate(ceed, num_dofs, &v); 53 CeedVectorCreate(ceed, num_qpts_tet, &q_data_tet); 54 CeedVectorCreate(ceed, num_qpts_hex, &q_data_hex); 55 56 // Tet Elements 57 // -- Restrictions 58 for (CeedInt i = 0; i < num_elem_tet / 2; i++) { 59 col = i % nx_tet; 60 row = i / nx_tet; 61 offset = col * 2 + row * (nx_tet * 2 + 1) * 2; 62 63 ind_x_tet[i * 2 * p_tet + 0] = 2 + offset; 64 ind_x_tet[i * 2 * p_tet + 1] = 9 + offset; 65 ind_x_tet[i * 2 * p_tet + 2] = 16 + offset; 66 ind_x_tet[i * 2 * p_tet + 3] = 1 + offset; 67 ind_x_tet[i * 2 * p_tet + 4] = 8 + offset; 68 ind_x_tet[i * 2 * p_tet + 5] = 0 + offset; 69 70 ind_x_tet[i * 2 * p_tet + 6] = 14 + offset; 71 ind_x_tet[i * 2 * p_tet + 7] = 7 + offset; 72 ind_x_tet[i * 2 * p_tet + 8] = 0 + offset; 73 ind_x_tet[i * 2 * p_tet + 9] = 15 + offset; 74 ind_x_tet[i * 2 * p_tet + 10] = 8 + offset; 75 ind_x_tet[i * 2 * p_tet + 11] = 16 + offset; 76 } 77 CeedElemRestrictionCreate(ceed, num_elem_tet, p_tet, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_tet, 78 &elem_restriction_x_tet); 79 CeedElemRestrictionCreate(ceed, num_elem_tet, p_tet, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_tet, &elem_restriction_u_tet); 80 81 CeedInt strides_q_data_tet[3] = {1, q_tet, q_tet}; 82 CeedElemRestrictionCreateStrided(ceed, num_elem_tet, q_tet, 1, num_qpts_tet, strides_q_data_tet, &elem_restriction_q_data_tet); 83 84 // -- Bases 85 Build2DSimplex(q_ref, q_weight, interp, grad); 86 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, dim, p_tet, q_tet, interp, grad, q_ref, q_weight, &basis_x_tet); 87 88 Build2DSimplex(q_ref, q_weight, interp, grad); 89 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, 1, p_tet, q_tet, interp, grad, q_ref, q_weight, &basis_u_tet); 90 91 // -- QFunctions 92 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup_tet); 93 CeedQFunctionAddInput(qf_setup_tet, "weight", 1, CEED_EVAL_WEIGHT); 94 CeedQFunctionAddInput(qf_setup_tet, "dx", dim * dim, CEED_EVAL_GRAD); 95 CeedQFunctionAddOutput(qf_setup_tet, "rho", 1, CEED_EVAL_NONE); 96 97 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass_tet); 98 CeedQFunctionAddInput(qf_mass_tet, "rho", 1, CEED_EVAL_NONE); 99 CeedQFunctionAddInput(qf_mass_tet, "u", 1, CEED_EVAL_INTERP); 100 CeedQFunctionAddOutput(qf_mass_tet, "v", 1, CEED_EVAL_INTERP); 101 102 // -- Operators 103 // ---- Setup _tet 104 CeedOperatorCreate(ceed, qf_setup_tet, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_tet); 105 CeedOperatorSetField(op_setup_tet, "weight", CEED_ELEMRESTRICTION_NONE, basis_x_tet, CEED_VECTOR_NONE); 106 CeedOperatorSetField(op_setup_tet, "dx", elem_restriction_x_tet, basis_x_tet, CEED_VECTOR_ACTIVE); 107 CeedOperatorSetField(op_setup_tet, "rho", elem_restriction_q_data_tet, CEED_BASIS_COLLOCATED, q_data_tet); 108 // ---- Mass _tet 109 CeedOperatorCreate(ceed, qf_mass_tet, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass_tet); 110 CeedOperatorSetField(op_mass_tet, "rho", elem_restriction_q_data_tet, CEED_BASIS_COLLOCATED, q_data_tet); 111 CeedOperatorSetField(op_mass_tet, "u", elem_restriction_u_tet, basis_u_tet, CEED_VECTOR_ACTIVE); 112 CeedOperatorSetField(op_mass_tet, "v", elem_restriction_u_tet, basis_u_tet, CEED_VECTOR_ACTIVE); 113 114 // Hex Elements 115 // -- Restrictions 116 for (CeedInt i = 0; i < num_elem_hex; i++) { 117 col = i % nx_hex; 118 row = i / nx_hex; 119 offset = (nx_tet * 2 + 1) * (ny_tet * 2) * (1 + row) + col * 2; 120 for (CeedInt j = 0; j < p_hex; j++) { 121 for (CeedInt k = 0; k < p_hex; k++) ind_x_hex[p_hex * (p_hex * i + k) + j] = offset + k * (nx_hex * 2 + 1) + j; 122 } 123 } 124 CeedElemRestrictionCreate(ceed, num_elem_hex, p_hex * p_hex, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_hex, 125 &elem_restriction_x_hex); 126 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); 127 128 CeedInt strides_q_data_hex[3] = {1, q_hex * q_hex, q_hex * q_hex}; 129 CeedElemRestrictionCreateStrided(ceed, num_elem_hex, q_hex * q_hex, 1, num_qpts_hex, strides_q_data_hex, &elem_restriction_q_data_hex); 130 131 // -- Bases 132 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p_hex, q_hex, CEED_GAUSS, &basis_x_hex); 133 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p_hex, q_hex, CEED_GAUSS, &basis_u_hex); 134 135 // -- QFunctions 136 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup_hex); 137 CeedQFunctionAddInput(qf_setup_hex, "weight", 1, CEED_EVAL_WEIGHT); 138 CeedQFunctionAddInput(qf_setup_hex, "dx", dim * dim, CEED_EVAL_GRAD); 139 CeedQFunctionAddOutput(qf_setup_hex, "rho", 1, CEED_EVAL_NONE); 140 141 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass_hex); 142 CeedQFunctionAddInput(qf_mass_hex, "rho", 1, CEED_EVAL_NONE); 143 CeedQFunctionAddInput(qf_mass_hex, "u", 1, CEED_EVAL_INTERP); 144 CeedQFunctionAddOutput(qf_mass_hex, "v", 1, CEED_EVAL_INTERP); 145 146 // -- Operators 147 CeedOperatorCreate(ceed, qf_setup_hex, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_hex); 148 CeedOperatorSetField(op_setup_hex, "weight", CEED_ELEMRESTRICTION_NONE, basis_x_hex, CEED_VECTOR_NONE); 149 CeedOperatorSetField(op_setup_hex, "dx", elem_restriction_x_hex, basis_x_hex, CEED_VECTOR_ACTIVE); 150 CeedOperatorSetField(op_setup_hex, "rho", elem_restriction_q_data_hex, CEED_BASIS_COLLOCATED, q_data_hex); 151 152 CeedOperatorCreate(ceed, qf_mass_hex, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass_hex); 153 CeedOperatorSetField(op_mass_hex, "rho", elem_restriction_q_data_hex, CEED_BASIS_COLLOCATED, q_data_hex); 154 CeedOperatorSetField(op_mass_hex, "u", elem_restriction_u_hex, basis_u_hex, CEED_VECTOR_ACTIVE); 155 CeedOperatorSetField(op_mass_hex, "v", elem_restriction_u_hex, basis_u_hex, CEED_VECTOR_ACTIVE); 156 157 // Composite Operators 158 CeedCompositeOperatorCreate(ceed, &op_setup); 159 CeedCompositeOperatorAddSub(op_setup, op_setup_tet); 160 CeedCompositeOperatorAddSub(op_setup, op_setup_hex); 161 162 CeedCompositeOperatorCreate(ceed, &op_mass); 163 CeedCompositeOperatorAddSub(op_mass, op_mass_tet); 164 CeedCompositeOperatorAddSub(op_mass, op_mass_hex); 165 166 // Apply Setup Operator 167 CeedOperatorApply(op_setup, x, CEED_VECTOR_NONE, CEED_REQUEST_IMMEDIATE); 168 169 // Apply Mass Operator 170 CeedVectorSetValue(u, 1.0); 171 CeedVectorSetValue(v, 0.0); 172 CeedOperatorApplyAdd(op_mass, u, v, CEED_REQUEST_IMMEDIATE); 173 174 // Check output 175 { 176 const CeedScalar *v_array; 177 CeedScalar sum = 0.; 178 179 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 180 for (CeedInt i = 0; i < num_dofs; i++) sum += v_array[i]; 181 CeedVectorRestoreArrayRead(v, &v_array); 182 if (fabs(sum - 1.) > 1000. * CEED_EPSILON) printf("Computed Area: %f != True Area: 1.0\n", sum); 183 } 184 185 // Apply Add 186 CeedVectorSetValue(v, 1.0); 187 CeedOperatorApplyAdd(op_mass, u, v, CEED_REQUEST_IMMEDIATE); 188 189 // Check output 190 { 191 const CeedScalar *v_array; 192 CeedScalar sum = -num_dofs; 193 194 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 195 for (CeedInt i = 0; i < num_dofs; i++) sum += v_array[i]; 196 CeedVectorRestoreArrayRead(v, &v_array); 197 if (fabs(sum - 1.) > 1000. * CEED_EPSILON) printf("Computed Area: %f != True Area: 1.0\n", sum); 198 } 199 200 // Cleanup 201 CeedVectorDestroy(&x); 202 CeedVectorDestroy(&u); 203 CeedVectorDestroy(&v); 204 CeedVectorDestroy(&q_data_tet); 205 CeedVectorDestroy(&q_data_hex); 206 CeedElemRestrictionDestroy(&elem_restriction_u_tet); 207 CeedElemRestrictionDestroy(&elem_restriction_x_tet); 208 CeedElemRestrictionDestroy(&elem_restriction_q_data_tet); 209 CeedElemRestrictionDestroy(&elem_restriction_u_hex); 210 CeedElemRestrictionDestroy(&elem_restriction_x_hex); 211 CeedElemRestrictionDestroy(&elem_restriction_q_data_hex); 212 CeedBasisDestroy(&basis_u_tet); 213 CeedBasisDestroy(&basis_x_tet); 214 CeedBasisDestroy(&basis_u_hex); 215 CeedBasisDestroy(&basis_x_hex); 216 CeedQFunctionDestroy(&qf_setup_tet); 217 CeedQFunctionDestroy(&qf_mass_tet); 218 CeedOperatorDestroy(&op_setup_tet); 219 CeedOperatorDestroy(&op_mass_tet); 220 CeedQFunctionDestroy(&qf_setup_hex); 221 CeedQFunctionDestroy(&qf_mass_hex); 222 CeedOperatorDestroy(&op_setup_hex); 223 CeedOperatorDestroy(&op_mass_hex); 224 CeedOperatorDestroy(&op_setup); 225 CeedOperatorDestroy(&op_mass); 226 CeedDestroy(&ceed); 227 return 0; 228 } 229