1 /// @file 2 /// Test creation and use of FDM element inverse 3 /// \test Test creation and use of FDM element inverse 4 #include "t540-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; 13 CeedBasis basis_x, basis_u; 14 CeedQFunction qf_setup_mass, qf_apply; 15 CeedOperator op_setup_mass, op_apply, op_inverse; 16 CeedVector q_data_mass, x, u, v; 17 CeedInt num_elem = 1, p = 4, q = 5, dim = 2; 18 CeedInt num_dofs = p * p, num_qpts = num_elem * q * q; 19 20 CeedInit(argv[1], &ceed); 21 22 // Vectors 23 CeedVectorCreate(ceed, dim * num_elem * (2 * 2), &x); 24 { 25 CeedScalar x_array[dim * num_elem * (2 * 2)]; 26 27 for (CeedInt i = 0; i < 2; i++) { 28 for (CeedInt j = 0; j < 2; j++) { 29 x_array[i + j * 2 + 0 * 4] = i; 30 x_array[i + j * 2 + 1 * 4] = j; 31 } 32 } 33 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 34 } 35 CeedVectorCreate(ceed, num_dofs, &u); 36 CeedVectorCreate(ceed, num_dofs, &v); 37 CeedVectorCreate(ceed, num_qpts, &q_data_mass); 38 39 // Restrictions 40 CeedInt strides_x[3] = {1, 2 * 2, 2 * 2 * dim}; 41 CeedElemRestrictionCreateStrided(ceed, num_elem, 2 * 2, dim, dim * num_elem * 2 * 2, strides_x, &elem_restriction_x); 42 43 CeedInt strides_u[3] = {1, p * p, p * p}; 44 CeedElemRestrictionCreateStrided(ceed, num_elem, p * p, 1, num_dofs, strides_u, &elem_restriction_u); 45 46 CeedInt strides_q_data[3] = {1, q * q, q * q}; 47 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data, &elem_restriction_q_data); 48 49 // Bases 50 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, 2, q, CEED_GAUSS, &basis_x); 51 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u); 52 53 // QFunction - setup mass 54 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, &qf_setup_mass); 55 CeedQFunctionAddInput(qf_setup_mass, "dx", dim * dim, CEED_EVAL_GRAD); 56 CeedQFunctionAddInput(qf_setup_mass, "weight", 1, CEED_EVAL_WEIGHT); 57 CeedQFunctionAddOutput(qf_setup_mass, "q data", 1, CEED_EVAL_NONE); 58 59 // Operator - setup mass 60 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass); 61 CeedOperatorSetField(op_setup_mass, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 62 CeedOperatorSetField(op_setup_mass, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 63 CeedOperatorSetField(op_setup_mass, "q data", elem_restriction_q_data, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 64 65 // Apply Setup Operator 66 CeedOperatorApply(op_setup_mass, x, q_data_mass, CEED_REQUEST_IMMEDIATE); 67 68 // QFunction - apply 69 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 70 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 71 CeedQFunctionAddInput(qf_apply, "mass q data", 1, CEED_EVAL_NONE); 72 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 73 74 // Operator - apply 75 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply); 76 CeedOperatorSetField(op_apply, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 77 CeedOperatorSetField(op_apply, "mass q data", elem_restriction_q_data, CEED_BASIS_COLLOCATED, q_data_mass); 78 CeedOperatorSetField(op_apply, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 79 80 // Apply original operator 81 CeedVectorSetValue(u, 1.0); 82 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE); 83 84 // Create FDM element inverse 85 CeedOperatorCreateFDMElementInverse(op_apply, &op_inverse, CEED_REQUEST_IMMEDIATE); 86 87 // Apply FDM element inverse 88 CeedOperatorApply(op_inverse, v, u, CEED_REQUEST_IMMEDIATE); 89 90 // Check output 91 { 92 const CeedScalar *u_array; 93 94 CeedVectorGetArrayRead(u, CEED_MEM_HOST, &u_array); 95 for (int i = 0; i < num_dofs; i++) { 96 if (fabs(u_array[i] - 1.0) > 500. * CEED_EPSILON) { 97 // LCOV_EXCL_START 98 printf("[%" CeedInt_FMT "] Error in inverse: %e - 1.0 = %e\n", i, u_array[i], u_array[i] - 1.); 99 // LCOV_EXCL_STOP 100 } 101 } 102 CeedVectorRestoreArrayRead(u, &u_array); 103 } 104 105 // Cleanup 106 CeedVectorDestroy(&x); 107 CeedVectorDestroy(&q_data_mass); 108 CeedVectorDestroy(&u); 109 CeedVectorDestroy(&v); 110 CeedElemRestrictionDestroy(&elem_restriction_u); 111 CeedElemRestrictionDestroy(&elem_restriction_x); 112 CeedElemRestrictionDestroy(&elem_restriction_q_data); 113 CeedBasisDestroy(&basis_u); 114 CeedBasisDestroy(&basis_x); 115 CeedQFunctionDestroy(&qf_setup_mass); 116 CeedQFunctionDestroy(&qf_apply); 117 CeedOperatorDestroy(&op_setup_mass); 118 CeedOperatorDestroy(&op_apply); 119 CeedOperatorDestroy(&op_inverse); 120 CeedDestroy(&ceed); 121 return 0; 122 } 123