1 /// @file 2 /// Test assembly of mass matrix operator diagonal 3 /// \test Test assembly of mass matrix operator diagonal 4 #include <ceed.h> 5 #include <math.h> 6 #include <stdlib.h> 7 8 #include "t510-operator.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, qf_mass; 15 CeedOperator op_setup, op_mass; 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 CeedScalar assembled_true[num_dofs]; 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 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, &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 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x); 51 CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u); 52 53 CeedInt strides_q_data[3] = {1, q * q, q * q}; 54 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data, &elem_restriction_q_data); 55 56 // Bases 57 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x); 58 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u); 59 60 // QFunctions 61 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 62 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT); 63 CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD); 64 CeedQFunctionAddOutput(qf_setup, "rho", 1, CEED_EVAL_NONE); 65 66 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass); 67 CeedQFunctionAddInput(qf_mass, "rho", 1, CEED_EVAL_NONE); 68 CeedQFunctionAddInput(qf_mass, "u", 1, CEED_EVAL_INTERP); 69 CeedQFunctionAddOutput(qf_mass, "v", 1, CEED_EVAL_INTERP); 70 71 // Operators 72 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup); 73 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 74 CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 75 CeedOperatorSetField(op_setup, "rho", elem_restriction_q_data, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 76 77 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass); 78 CeedOperatorSetField(op_mass, "rho", elem_restriction_q_data, CEED_BASIS_COLLOCATED, q_data); 79 CeedOperatorSetField(op_mass, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 80 CeedOperatorSetField(op_mass, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 81 82 // Apply Setup Operator 83 CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE); 84 85 // Assemble diagonal 86 CeedVectorCreate(ceed, num_dofs, &assembled); 87 CeedOperatorLinearAssembleDiagonal(op_mass, assembled, CEED_REQUEST_IMMEDIATE); 88 89 // Manually assemble diagonal 90 CeedVectorSetValue(u, 0.0); 91 for (int i = 0; i < num_dofs; i++) { 92 CeedScalar *u_array; 93 const CeedScalar *v_array; 94 95 // Set input 96 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 97 u_array[i] = 1.0; 98 if (i) u_array[i - 1] = 0.0; 99 CeedVectorRestoreArray(u, &u_array); 100 101 // Compute diag entry for DoF i 102 CeedOperatorApply(op_mass, u, v, CEED_REQUEST_IMMEDIATE); 103 104 // Retrieve entry 105 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 106 assembled_true[i] = v_array[i]; 107 CeedVectorRestoreArrayRead(v, &v_array); 108 } 109 110 // Check output 111 { 112 const CeedScalar *assembled_array; 113 114 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 115 for (int i = 0; i < num_dofs; i++) { 116 if (fabs(assembled_array[i] - assembled_true[i]) > 100. * CEED_EPSILON) { 117 // LCOV_EXCL_START 118 printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, assembled_array[i], assembled_true[i]); 119 // LCOV_EXCL_STOP 120 } 121 } 122 CeedVectorRestoreArrayRead(assembled, &assembled_array); 123 } 124 125 // Cleanup 126 CeedVectorDestroy(&x); 127 CeedVectorDestroy(&assembled); 128 CeedVectorDestroy(&q_data); 129 CeedVectorDestroy(&u); 130 CeedVectorDestroy(&v); 131 CeedElemRestrictionDestroy(&elem_restriction_u); 132 CeedElemRestrictionDestroy(&elem_restriction_x); 133 CeedElemRestrictionDestroy(&elem_restriction_q_data); 134 CeedBasisDestroy(&basis_u); 135 CeedBasisDestroy(&basis_x); 136 CeedQFunctionDestroy(&qf_setup); 137 CeedQFunctionDestroy(&qf_mass); 138 CeedOperatorDestroy(&op_setup); 139 CeedOperatorDestroy(&op_mass); 140 CeedDestroy(&ceed); 141 return 0; 142 } 143