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