1 /// @file 2 /// Test assembly of Poisson operator QFunction 3 /// \test Test assembly of Poisson operator QFunction 4 #include "t531-operator.h" 5 6 #include <ceed.h> 7 #include <math.h> 8 #include <stdio.h> 9 #include <stdlib.h> 10 11 int main(int argc, char **argv) { 12 Ceed ceed; 13 CeedElemRestriction elem_restriction_x, elem_restriction_u, elem_restriction_q_data, elem_restriction_assembled = NULL; 14 CeedBasis basis_x, basis_u; 15 CeedQFunction qf_setup, qf_diff, qf_diff_assembled; 16 CeedOperator op_setup, op_diff, op_diff_assembled; 17 CeedVector q_data, x, assembled = NULL, u, v; 18 CeedInt num_elem = 6, p = 3, q = 4, dim = 2; 19 CeedInt nx = 3, ny = 2; 20 CeedInt num_dofs = (nx * 2 + 1) * (ny * 2 + 1), num_qpts = num_elem * q * q; 21 CeedInt ind_x[num_elem * p * p]; 22 23 CeedInit(argv[1], &ceed); 24 25 // Vectors 26 CeedVectorCreate(ceed, dim * num_dofs, &x); 27 { 28 CeedScalar x_array[dim * num_dofs]; 29 30 for (CeedInt i = 0; i < nx * 2 + 1; i++) { 31 for (CeedInt j = 0; j < ny * 2 + 1; j++) { 32 x_array[i + j * (nx * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * nx); 33 x_array[i + j * (nx * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * ny); 34 } 35 } 36 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 37 } 38 CeedVectorCreate(ceed, num_dofs, &u); 39 CeedVectorCreate(ceed, num_dofs, &v); 40 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data); 41 42 // Restrictions 43 for (CeedInt i = 0; i < num_elem; i++) { 44 CeedInt col, row, offset; 45 col = i % nx; 46 row = i / nx; 47 offset = col * (p - 1) + row * (nx * 2 + 1) * (p - 1); 48 for (CeedInt j = 0; j < p; j++) { 49 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (nx * 2 + 1) + j; 50 } 51 } 52 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x); 53 CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u); 54 55 CeedInt strides_q_data[3] = {1, q * q, q * q * dim * (dim + 1) / 2}; 56 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data, 57 &elem_restriction_q_data); 58 59 // Bases 60 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x); 61 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u); 62 63 // QFunction - setup 64 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 65 CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD); 66 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT); 67 CeedQFunctionAddOutput(qf_setup, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); 68 69 // Operator - setup 70 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup); 71 CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 72 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 73 CeedOperatorSetField(op_setup, "q data", elem_restriction_q_data, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE); 74 75 // Apply Setup Operator 76 CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE); 77 78 // QFunction - apply 79 CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff); 80 CeedQFunctionAddInput(qf_diff, "du", dim, CEED_EVAL_GRAD); 81 CeedQFunctionAddInput(qf_diff, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); 82 CeedQFunctionAddOutput(qf_diff, "dv", dim, CEED_EVAL_GRAD); 83 84 // Operator - apply 85 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff); 86 CeedOperatorSetField(op_diff, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 87 CeedOperatorSetField(op_diff, "q data", elem_restriction_q_data, CEED_BASIS_NONE, q_data); 88 CeedOperatorSetField(op_diff, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 89 90 // Apply original Poisson Operator 91 CeedVectorSetValue(u, 1.0); 92 CeedOperatorApply(op_diff, u, v, CEED_REQUEST_IMMEDIATE); 93 94 // Check output 95 { 96 const CeedScalar *v_array; 97 98 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 99 for (CeedInt i = 0; i < num_dofs; i++) { 100 if (fabs(v_array[i]) > 100. * CEED_EPSILON) printf("Error: Operator computed v[%" CeedInt_FMT "] = %f != 0.0\n", i, v_array[i]); 101 } 102 CeedVectorRestoreArrayRead(v, &v_array); 103 } 104 105 // Assemble QFunction 106 CeedOperatorSetQFunctionAssemblyReuse(op_diff, true); 107 CeedOperatorLinearAssembleQFunctionBuildOrUpdate(op_diff, &assembled, &elem_restriction_assembled, CEED_REQUEST_IMMEDIATE); 108 // Second call will be no-op since SetQFunctionUpdated was not called 109 CeedOperatorSetQFunctionAssemblyDataUpdateNeeded(op_diff, false); 110 CeedOperatorLinearAssembleQFunctionBuildOrUpdate(op_diff, &assembled, &elem_restriction_assembled, CEED_REQUEST_IMMEDIATE); 111 112 // QFunction - apply assembled 113 CeedQFunctionCreateInterior(ceed, 1, diff_lin, diff_lin_loc, &qf_diff_assembled); 114 CeedQFunctionAddInput(qf_diff_assembled, "du", dim, CEED_EVAL_GRAD); 115 CeedQFunctionAddInput(qf_diff_assembled, "q data", dim * dim, CEED_EVAL_NONE); 116 CeedQFunctionAddOutput(qf_diff_assembled, "dv", dim, CEED_EVAL_GRAD); 117 118 // Operator - apply assembled 119 CeedOperatorCreate(ceed, qf_diff_assembled, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff_assembled); 120 CeedOperatorSetField(op_diff_assembled, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 121 CeedOperatorSetField(op_diff_assembled, "q data", elem_restriction_assembled, CEED_BASIS_NONE, assembled); 122 CeedOperatorSetField(op_diff_assembled, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 123 124 // Apply new Poisson Operator 125 CeedVectorSetValue(v, 0.0); 126 CeedOperatorApply(op_diff_assembled, u, v, CEED_REQUEST_IMMEDIATE); 127 128 // Check output 129 { 130 const CeedScalar *v_array; 131 132 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 133 for (CeedInt i = 0; i < num_dofs; i++) { 134 if (fabs(v_array[i]) > 100. * CEED_EPSILON) printf("Error: Linearized operator computed v[i] = %f != 0.0\n", v_array[i]); 135 } 136 CeedVectorRestoreArrayRead(v, &v_array); 137 } 138 139 // Cleanup 140 CeedVectorDestroy(&x); 141 CeedVectorDestroy(&assembled); 142 CeedVectorDestroy(&q_data); 143 CeedVectorDestroy(&u); 144 CeedVectorDestroy(&v); 145 CeedElemRestrictionDestroy(&elem_restriction_u); 146 CeedElemRestrictionDestroy(&elem_restriction_x); 147 CeedElemRestrictionDestroy(&elem_restriction_q_data); 148 CeedElemRestrictionDestroy(&elem_restriction_assembled); 149 CeedBasisDestroy(&basis_u); 150 CeedBasisDestroy(&basis_x); 151 CeedQFunctionDestroy(&qf_setup); 152 CeedQFunctionDestroy(&qf_diff); 153 CeedQFunctionDestroy(&qf_diff_assembled); 154 CeedOperatorDestroy(&op_setup); 155 CeedOperatorDestroy(&op_diff); 156 CeedOperatorDestroy(&op_diff_assembled); 157 CeedDestroy(&ceed); 158 return 0; 159 } 160