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, v_assembled; 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) + 0.5 * j; 33 x_array[i + j * (nx * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * ny) + 0.5 * i; 34 } 35 } 36 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 37 } 38 CeedVectorCreate(ceed, num_dofs, &u); 39 { 40 CeedScalar *u_array; 41 42 CeedVectorGetArrayWrite(u, CEED_MEM_HOST, &u_array); 43 for (CeedInt i = 0; i < nx * 2 + 1; i++) { 44 for (CeedInt j = 0; j < ny * 2 + 1; j++) { 45 u_array[i + j * (nx * 2 + 1)] = i * nx + j * ny; 46 } 47 } 48 CeedVectorRestoreArray(u, &u_array); 49 } 50 CeedVectorCreate(ceed, num_dofs, &v); 51 CeedVectorCreate(ceed, num_dofs, &v_assembled); 52 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data); 53 54 // Restrictions 55 for (CeedInt i = 0; i < num_elem; i++) { 56 CeedInt col, row, offset; 57 col = i % nx; 58 row = i / nx; 59 offset = col * (p - 1) + row * (nx * 2 + 1) * (p - 1); 60 for (CeedInt j = 0; j < p; j++) { 61 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (nx * 2 + 1) + j; 62 } 63 } 64 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x); 65 CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u); 66 67 CeedInt strides_q_data[3] = {1, q * q, q * q * dim * (dim + 1) / 2}; 68 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data, 69 &elem_restriction_q_data); 70 71 // Bases 72 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x); 73 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u); 74 75 // QFunction - setup 76 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 77 CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD); 78 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT); 79 CeedQFunctionAddOutput(qf_setup, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); 80 81 // Operator - setup 82 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup); 83 CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 84 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 85 CeedOperatorSetField(op_setup, "q data", elem_restriction_q_data, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE); 86 87 // Apply Setup Operator 88 CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE); 89 90 // QFunction - apply 91 CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff); 92 CeedQFunctionAddInput(qf_diff, "du", dim, CEED_EVAL_GRAD); 93 CeedQFunctionAddInput(qf_diff, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); 94 CeedQFunctionAddOutput(qf_diff, "dv", dim, CEED_EVAL_GRAD); 95 96 // Operator - apply 97 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff); 98 CeedOperatorSetField(op_diff, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 99 CeedOperatorSetField(op_diff, "q data", elem_restriction_q_data, CEED_BASIS_NONE, q_data); 100 CeedOperatorSetField(op_diff, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 101 102 // Apply original Poisson Operator 103 CeedOperatorApply(op_diff, u, v, CEED_REQUEST_IMMEDIATE); 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 CeedOperatorApply(op_diff_assembled, u, v_assembled, CEED_REQUEST_IMMEDIATE); 126 127 // Check output 128 { 129 const CeedScalar *v_array, *v_assembled_array; 130 131 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 132 CeedVectorGetArrayRead(v_assembled, CEED_MEM_HOST, &v_assembled_array); 133 for (CeedInt i = 0; i < num_dofs; i++) { 134 if (fabs(v_array[i] - v_assembled_array[i]) > 100. * CEED_EPSILON) 135 printf("Error: Linearized operator computed v[i] = %f != %f\n", v_assembled_array[i], v_array[i]); 136 } 137 CeedVectorRestoreArrayRead(v, &v_array); 138 CeedVectorRestoreArrayRead(v_assembled, &v_assembled_array); 139 } 140 141 // Cleanup 142 CeedVectorDestroy(&x); 143 CeedVectorDestroy(&assembled); 144 CeedVectorDestroy(&q_data); 145 CeedVectorDestroy(&u); 146 CeedVectorDestroy(&v); 147 CeedVectorDestroy(&v_assembled); 148 CeedElemRestrictionDestroy(&elem_restriction_u); 149 CeedElemRestrictionDestroy(&elem_restriction_x); 150 CeedElemRestrictionDestroy(&elem_restriction_q_data); 151 CeedElemRestrictionDestroy(&elem_restriction_assembled); 152 CeedBasisDestroy(&basis_u); 153 CeedBasisDestroy(&basis_x); 154 CeedQFunctionDestroy(&qf_setup); 155 CeedQFunctionDestroy(&qf_diff); 156 CeedQFunctionDestroy(&qf_diff_assembled); 157 CeedOperatorDestroy(&op_setup); 158 CeedOperatorDestroy(&op_diff); 159 CeedOperatorDestroy(&op_diff_assembled); 160 CeedDestroy(&ceed); 161 return 0; 162 } 163