1 /// @file 2 /// Test CeedOperatorApplyAdd for composite operator 3 /// \test CeedOperatorApplyAdd for composite operator 4 #include <ceed.h> 5 #include <math.h> 6 #include <stdlib.h> 7 8 #include "t320-basis.h" 9 #include "t510-operator.h" 10 11 /* The mesh comprises of two rows of 3 quadrilaterals followed by one row 12 of 6 triangles: 13 _ _ _ 14 |_|_|_| 15 |_|_|_| 16 |/|/|/| 17 18 */ 19 20 int main(int argc, char **argv) { 21 Ceed ceed; 22 CeedElemRestriction elem_restriction_x_tet, elem_restriction_u_tet, elem_restriction_q_data_tet, elem_restriction_x_hex, elem_restriction_u_hex, 23 elem_restriction_q_data_hex; 24 CeedBasis basis_x_tet, basis_u_tet, basis_x_hex, basis_u_hex; 25 CeedQFunction qf_setup_tet, qf_mass_tet, qf_setup_hex, qf_mass_hex; 26 CeedOperator op_setup_tet, op_mass_tet, op_setup_hex, op_mass_hex, op_setup, op_mass; 27 CeedVector q_data_tet, q_data_hex, x, u, v; 28 CeedInt num_elem_tet = 6, p_tet = 6, q_tet = 4, num_elem_hex = 6, p_hex = 3, q_hex = 4, dim = 2; 29 CeedInt nx = 3, ny = 3, nx_tet = 3, ny_tet = 1, nx_hex = 3; 30 CeedInt row, col, offset; 31 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; 32 CeedInt ind_x_tet[num_elem_tet * p_tet], ind_x_hex[num_elem_hex * p_hex * p_hex]; 33 CeedScalar q_ref[dim * q_tet], q_weight[q_tet]; 34 CeedScalar interp[p_tet * q_tet], grad[dim * p_tet * q_tet]; 35 36 CeedInit(argv[1], &ceed); 37 38 // Vectors 39 CeedVectorCreate(ceed, dim * num_dofs, &x); 40 { 41 CeedScalar x_array[dim * num_dofs]; 42 for (CeedInt i = 0; i < ny * 2 + 1; i++) { 43 for (CeedInt j = 0; j < nx * 2 + 1; j++) { 44 x_array[i + j * (ny * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * ny); 45 x_array[i + j * (ny * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * nx); 46 } 47 } 48 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 49 } 50 CeedVectorCreate(ceed, num_dofs, &u); 51 CeedVectorCreate(ceed, num_dofs, &v); 52 CeedVectorCreate(ceed, num_qpts_tet, &q_data_tet); 53 CeedVectorCreate(ceed, num_qpts_hex, &q_data_hex); 54 55 // Tet Elements 56 // -- Restrictions 57 for (CeedInt i = 0; i < num_elem_tet / 2; i++) { 58 col = i % nx_tet; 59 row = i / nx_tet; 60 offset = col * 2 + row * (nx_tet * 2 + 1) * 2; 61 62 ind_x_tet[i * 2 * p_tet + 0] = 2 + offset; 63 ind_x_tet[i * 2 * p_tet + 1] = 9 + offset; 64 ind_x_tet[i * 2 * p_tet + 2] = 16 + offset; 65 ind_x_tet[i * 2 * p_tet + 3] = 1 + offset; 66 ind_x_tet[i * 2 * p_tet + 4] = 8 + offset; 67 ind_x_tet[i * 2 * p_tet + 5] = 0 + offset; 68 69 ind_x_tet[i * 2 * p_tet + 6] = 14 + offset; 70 ind_x_tet[i * 2 * p_tet + 7] = 7 + offset; 71 ind_x_tet[i * 2 * p_tet + 8] = 0 + offset; 72 ind_x_tet[i * 2 * p_tet + 9] = 15 + offset; 73 ind_x_tet[i * 2 * p_tet + 10] = 8 + offset; 74 ind_x_tet[i * 2 * p_tet + 11] = 16 + offset; 75 } 76 CeedElemRestrictionCreate(ceed, num_elem_tet, p_tet, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_tet, 77 &elem_restriction_x_tet); 78 CeedElemRestrictionCreate(ceed, num_elem_tet, p_tet, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_tet, &elem_restriction_u_tet); 79 80 CeedInt strides_q_data_tet[3] = {1, q_tet, q_tet}; 81 CeedElemRestrictionCreateStrided(ceed, num_elem_tet, q_tet, 1, num_qpts_tet, strides_q_data_tet, &elem_restriction_q_data_tet); 82 83 // -- Bases 84 Build2DSimplex(q_ref, q_weight, interp, grad); 85 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, dim, p_tet, q_tet, interp, grad, q_ref, q_weight, &basis_x_tet); 86 87 Build2DSimplex(q_ref, q_weight, interp, grad); 88 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, 1, p_tet, q_tet, interp, grad, q_ref, q_weight, &basis_u_tet); 89 90 // -- QFunctions 91 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup_tet); 92 CeedQFunctionAddInput(qf_setup_tet, "weight", 1, CEED_EVAL_WEIGHT); 93 CeedQFunctionAddInput(qf_setup_tet, "dx", dim * dim, CEED_EVAL_GRAD); 94 CeedQFunctionAddOutput(qf_setup_tet, "rho", 1, CEED_EVAL_NONE); 95 96 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass_tet); 97 CeedQFunctionAddInput(qf_mass_tet, "rho", 1, CEED_EVAL_NONE); 98 CeedQFunctionAddInput(qf_mass_tet, "u", 1, CEED_EVAL_INTERP); 99 CeedQFunctionAddOutput(qf_mass_tet, "v", 1, CEED_EVAL_INTERP); 100 101 // -- Operators 102 // ---- Setup _tet 103 CeedOperatorCreate(ceed, qf_setup_tet, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_tet); 104 CeedOperatorSetField(op_setup_tet, "weight", CEED_ELEMRESTRICTION_NONE, basis_x_tet, CEED_VECTOR_NONE); 105 CeedOperatorSetField(op_setup_tet, "dx", elem_restriction_x_tet, basis_x_tet, CEED_VECTOR_ACTIVE); 106 CeedOperatorSetField(op_setup_tet, "rho", elem_restriction_q_data_tet, CEED_BASIS_COLLOCATED, q_data_tet); 107 // ---- Mass _tet 108 CeedOperatorCreate(ceed, qf_mass_tet, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass_tet); 109 CeedOperatorSetField(op_mass_tet, "rho", elem_restriction_q_data_tet, CEED_BASIS_COLLOCATED, q_data_tet); 110 CeedOperatorSetField(op_mass_tet, "u", elem_restriction_u_tet, basis_u_tet, CEED_VECTOR_ACTIVE); 111 CeedOperatorSetField(op_mass_tet, "v", elem_restriction_u_tet, basis_u_tet, CEED_VECTOR_ACTIVE); 112 113 // Hex Elements 114 // -- Restrictions 115 for (CeedInt i = 0; i < num_elem_hex; i++) { 116 col = i % nx_hex; 117 row = i / nx_hex; 118 offset = (nx_tet * 2 + 1) * (ny_tet * 2) * (1 + row) + col * 2; 119 for (CeedInt j = 0; j < p_hex; j++) { 120 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; 121 } 122 } 123 CeedElemRestrictionCreate(ceed, num_elem_hex, p_hex * p_hex, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_hex, 124 &elem_restriction_x_hex); 125 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); 126 127 CeedInt strides_q_data_hex[3] = {1, q_hex * q_hex, q_hex * q_hex}; 128 CeedElemRestrictionCreateStrided(ceed, num_elem_hex, q_hex * q_hex, 1, num_qpts_hex, strides_q_data_hex, &elem_restriction_q_data_hex); 129 130 // -- Bases 131 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p_hex, q_hex, CEED_GAUSS, &basis_x_hex); 132 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p_hex, q_hex, CEED_GAUSS, &basis_u_hex); 133 134 // -- QFunctions 135 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup_hex); 136 CeedQFunctionAddInput(qf_setup_hex, "weight", 1, CEED_EVAL_WEIGHT); 137 CeedQFunctionAddInput(qf_setup_hex, "dx", dim * dim, CEED_EVAL_GRAD); 138 CeedQFunctionAddOutput(qf_setup_hex, "rho", 1, CEED_EVAL_NONE); 139 140 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass_hex); 141 CeedQFunctionAddInput(qf_mass_hex, "rho", 1, CEED_EVAL_NONE); 142 CeedQFunctionAddInput(qf_mass_hex, "u", 1, CEED_EVAL_INTERP); 143 CeedQFunctionAddOutput(qf_mass_hex, "v", 1, CEED_EVAL_INTERP); 144 145 // -- Operators 146 CeedOperatorCreate(ceed, qf_setup_hex, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_hex); 147 CeedOperatorSetField(op_setup_hex, "weight", CEED_ELEMRESTRICTION_NONE, basis_x_hex, CEED_VECTOR_NONE); 148 CeedOperatorSetField(op_setup_hex, "dx", elem_restriction_x_hex, basis_x_hex, CEED_VECTOR_ACTIVE); 149 CeedOperatorSetField(op_setup_hex, "rho", elem_restriction_q_data_hex, CEED_BASIS_COLLOCATED, q_data_hex); 150 151 CeedOperatorCreate(ceed, qf_mass_hex, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass_hex); 152 CeedOperatorSetField(op_mass_hex, "rho", elem_restriction_q_data_hex, CEED_BASIS_COLLOCATED, q_data_hex); 153 CeedOperatorSetField(op_mass_hex, "u", elem_restriction_u_hex, basis_u_hex, CEED_VECTOR_ACTIVE); 154 CeedOperatorSetField(op_mass_hex, "v", elem_restriction_u_hex, basis_u_hex, CEED_VECTOR_ACTIVE); 155 156 // Composite Operators 157 CeedCompositeOperatorCreate(ceed, &op_setup); 158 CeedCompositeOperatorAddSub(op_setup, op_setup_tet); 159 CeedCompositeOperatorAddSub(op_setup, op_setup_hex); 160 161 CeedCompositeOperatorCreate(ceed, &op_mass); 162 CeedCompositeOperatorAddSub(op_mass, op_mass_tet); 163 CeedCompositeOperatorAddSub(op_mass, op_mass_hex); 164 165 // Apply Setup Operator 166 CeedOperatorApply(op_setup, x, CEED_VECTOR_NONE, CEED_REQUEST_IMMEDIATE); 167 168 // Apply Mass Operator 169 CeedVectorSetValue(u, 1.0); 170 CeedVectorSetValue(v, 0.0); 171 CeedOperatorApplyAdd(op_mass, u, v, CEED_REQUEST_IMMEDIATE); 172 173 // Check output 174 { 175 const CeedScalar *v_array; 176 CeedScalar sum = 0.; 177 178 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 179 for (CeedInt i = 0; i < num_dofs; i++) sum += v_array[i]; 180 CeedVectorRestoreArrayRead(v, &v_array); 181 if (fabs(sum - 1.) > 1000. * CEED_EPSILON) printf("Computed Area: %f != True Area: 1.0\n", sum); 182 } 183 184 // Apply Add 185 CeedVectorSetValue(v, 1.0); 186 CeedOperatorApplyAdd(op_mass, u, v, CEED_REQUEST_IMMEDIATE); 187 188 // Check output 189 { 190 const CeedScalar *v_array; 191 CeedScalar sum = -num_dofs; 192 193 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 194 for (CeedInt i = 0; i < num_dofs; i++) sum += v_array[i]; 195 CeedVectorRestoreArrayRead(v, &v_array); 196 if (fabs(sum - 1.) > 1000. * CEED_EPSILON) printf("Computed Area: %f != True Area: 1.0\n", sum); 197 } 198 199 // Cleanup 200 CeedVectorDestroy(&x); 201 CeedVectorDestroy(&u); 202 CeedVectorDestroy(&v); 203 CeedVectorDestroy(&q_data_tet); 204 CeedVectorDestroy(&q_data_hex); 205 CeedElemRestrictionDestroy(&elem_restriction_u_tet); 206 CeedElemRestrictionDestroy(&elem_restriction_x_tet); 207 CeedElemRestrictionDestroy(&elem_restriction_q_data_tet); 208 CeedElemRestrictionDestroy(&elem_restriction_u_hex); 209 CeedElemRestrictionDestroy(&elem_restriction_x_hex); 210 CeedElemRestrictionDestroy(&elem_restriction_q_data_hex); 211 CeedBasisDestroy(&basis_u_tet); 212 CeedBasisDestroy(&basis_x_tet); 213 CeedBasisDestroy(&basis_u_hex); 214 CeedBasisDestroy(&basis_x_hex); 215 CeedQFunctionDestroy(&qf_setup_tet); 216 CeedQFunctionDestroy(&qf_mass_tet); 217 CeedOperatorDestroy(&op_setup_tet); 218 CeedOperatorDestroy(&op_mass_tet); 219 CeedQFunctionDestroy(&qf_setup_hex); 220 CeedQFunctionDestroy(&qf_mass_hex); 221 CeedOperatorDestroy(&op_setup_hex); 222 CeedOperatorDestroy(&op_mass_hex); 223 CeedOperatorDestroy(&op_setup); 224 CeedOperatorDestroy(&op_mass); 225 CeedDestroy(&ceed); 226 return 0; 227 } 228