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 <stdio.h> 7 #include <stdlib.h> 8 9 #include "t510-operator.h" 10 11 int main(int argc, char **argv) { 12 Ceed ceed; 13 CeedElemRestriction elem_restriction_x, elem_restriction_u, elem_restriction_q_data; 14 CeedBasis basis_x, basis_u; 15 CeedQFunction qf_setup, qf_mass; 16 CeedOperator op_setup, op_mass; 17 CeedVector q_data, x, assembled, 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 CeedScalar assembled_true[num_dofs]; 23 24 CeedInit(argv[1], &ceed); 25 26 // Vectors 27 CeedVectorCreate(ceed, dim * num_dofs, &x); 28 { 29 CeedScalar x_array[dim * num_dofs]; 30 31 for (CeedInt i = 0; i < nx * 2 + 1; i++) 32 for (CeedInt j = 0; j < ny * 2 + 1; j++) { 33 x_array[i + j * (nx * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * nx); 34 x_array[i + j * (nx * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * ny); 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, &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 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}; 55 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data, &elem_restriction_q_data); 56 57 // Bases 58 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x); 59 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u); 60 61 // QFunctions 62 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 63 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT); 64 CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD); 65 CeedQFunctionAddOutput(qf_setup, "rho", 1, CEED_EVAL_NONE); 66 67 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass); 68 CeedQFunctionAddInput(qf_mass, "rho", 1, CEED_EVAL_NONE); 69 CeedQFunctionAddInput(qf_mass, "u", 1, CEED_EVAL_INTERP); 70 CeedQFunctionAddOutput(qf_mass, "v", 1, CEED_EVAL_INTERP); 71 72 // Operators 73 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup); 74 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 75 CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 76 CeedOperatorSetField(op_setup, "rho", elem_restriction_q_data, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 77 78 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass); 79 CeedOperatorSetField(op_mass, "rho", elem_restriction_q_data, CEED_BASIS_COLLOCATED, q_data); 80 CeedOperatorSetField(op_mass, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 81 CeedOperatorSetField(op_mass, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 82 83 // Apply Setup Operator 84 CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE); 85 86 // Assemble diagonal 87 CeedVectorCreate(ceed, num_dofs, &assembled); 88 CeedOperatorLinearAssembleDiagonal(op_mass, assembled, CEED_REQUEST_IMMEDIATE); 89 90 // Manually assemble diagonal 91 CeedVectorSetValue(u, 0.0); 92 for (int i = 0; i < num_dofs; i++) { 93 CeedScalar *u_array; 94 const CeedScalar *v_array; 95 96 // Set input 97 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 98 u_array[i] = 1.0; 99 if (i) u_array[i - 1] = 0.0; 100 CeedVectorRestoreArray(u, &u_array); 101 102 // Compute diag entry for DoF i 103 CeedOperatorApply(op_mass, u, v, CEED_REQUEST_IMMEDIATE); 104 105 // Retrieve entry 106 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 107 assembled_true[i] = v_array[i]; 108 CeedVectorRestoreArrayRead(v, &v_array); 109 } 110 111 // Check output 112 { 113 const CeedScalar *assembled_array; 114 115 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 116 for (int i = 0; i < num_dofs; i++) { 117 if (fabs(assembled_array[i] - assembled_true[i]) > 100. * CEED_EPSILON) { 118 // LCOV_EXCL_START 119 printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, assembled_array[i], assembled_true[i]); 120 // LCOV_EXCL_STOP 121 } 122 } 123 CeedVectorRestoreArrayRead(assembled, &assembled_array); 124 } 125 126 // Cleanup 127 CeedVectorDestroy(&x); 128 CeedVectorDestroy(&assembled); 129 CeedVectorDestroy(&q_data); 130 CeedVectorDestroy(&u); 131 CeedVectorDestroy(&v); 132 CeedElemRestrictionDestroy(&elem_restriction_u); 133 CeedElemRestrictionDestroy(&elem_restriction_x); 134 CeedElemRestrictionDestroy(&elem_restriction_q_data); 135 CeedBasisDestroy(&basis_u); 136 CeedBasisDestroy(&basis_x); 137 CeedQFunctionDestroy(&qf_setup); 138 CeedQFunctionDestroy(&qf_mass); 139 CeedOperatorDestroy(&op_setup); 140 CeedOperatorDestroy(&op_mass); 141 CeedDestroy(&ceed); 142 return 0; 143 } 144