1 /// @file 2 /// Test full assembly of mass matrix operator 3 /// \test Test full assembly of mass matrix operator 4 #include <ceed.h> 5 #include <stdlib.h> 6 #include <math.h> 7 #include "t510-operator.h" 8 9 int main(int argc, char **argv) { 10 Ceed ceed; 11 CeedElemRestriction elem_restr_x, elem_restr_u, 12 elem_restr_qd_i; 13 CeedBasis basis_x, basis_u; 14 CeedQFunction qf_setup, qf_mass; 15 CeedOperator op_setup, op_mass; 16 CeedVector q_data, X, U, V; 17 CeedInt P = 3, Q = 4, dim = 2; 18 CeedInt n_x = 3, n_y = 2; 19 CeedInt num_elem = n_x * n_y; 20 CeedInt num_dofs = (n_x*2+1)*(n_y*2+1), num_qpts = num_elem*Q*Q; 21 CeedInt ind_x[num_elem*P*P]; 22 CeedScalar assembled[num_dofs*num_dofs]; 23 CeedScalar x[dim*num_dofs], assembled_true[num_dofs*num_dofs]; 24 CeedScalar *u; 25 const CeedScalar *v; 26 27 CeedInit(argv[1], &ceed); 28 29 // DoF Coordinates 30 for (CeedInt i=0; i<n_x*2+1; i++) 31 for (CeedInt j=0; j<n_y*2+1; j++) { 32 x[i+j*(n_x*2+1)+0*num_dofs] = (CeedScalar) i / (2*n_x); 33 x[i+j*(n_x*2+1)+1*num_dofs] = (CeedScalar) j / (2*n_y); 34 } 35 CeedVectorCreate(ceed, dim*num_dofs, &X); 36 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 37 38 // Qdata Vector 39 CeedVectorCreate(ceed, num_qpts, &q_data); 40 41 // Element Setup 42 for (CeedInt i=0; i<num_elem; i++) { 43 CeedInt col, row, offset; 44 col = i % n_x; 45 row = i / n_x; 46 offset = col*(P-1) + row*(n_x*2+1)*(P-1); 47 for (CeedInt j=0; j<P; j++) 48 for (CeedInt k=0; k<P; k++) 49 ind_x[P*(P*i+k)+j] = offset + k*(n_x*2+1) + j; 50 } 51 52 // Restrictions 53 CeedElemRestrictionCreate(ceed, num_elem, P*P, dim, num_dofs, dim*num_dofs, 54 CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x); 55 56 CeedElemRestrictionCreate(ceed, num_elem, P*P, 1, 1, num_dofs, CEED_MEM_HOST, 57 CEED_USE_POINTER, ind_x, &elem_restr_u); 58 CeedInt strides_qd[3] = {1, Q*Q, Q*Q}; 59 CeedElemRestrictionCreateStrided(ceed, num_elem, Q*Q, 1, num_qpts, strides_qd, 60 &elem_restr_qd_i); 61 62 // Bases 63 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &basis_x); 64 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &basis_u); 65 66 // QFunctions 67 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 68 CeedQFunctionAddInput(qf_setup, "_weight", 1, CEED_EVAL_WEIGHT); 69 CeedQFunctionAddInput(qf_setup, "dx", dim*dim, CEED_EVAL_GRAD); 70 CeedQFunctionAddOutput(qf_setup, "rho", 1, CEED_EVAL_NONE); 71 72 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass); 73 CeedQFunctionAddInput(qf_mass, "rho", 1, CEED_EVAL_NONE); 74 CeedQFunctionAddInput(qf_mass, "u", 1, CEED_EVAL_INTERP); 75 CeedQFunctionAddOutput(qf_mass, "v", 1, CEED_EVAL_INTERP); 76 77 // Operators 78 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 79 &op_setup); 80 CeedOperatorSetField(op_setup, "_weight", CEED_ELEMRESTRICTION_NONE, basis_x, 81 CEED_VECTOR_NONE); 82 CeedOperatorSetField(op_setup, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 83 CeedOperatorSetField(op_setup, "rho", elem_restr_qd_i, CEED_BASIS_COLLOCATED, 84 CEED_VECTOR_ACTIVE); 85 86 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 87 &op_mass); 88 CeedOperatorSetField(op_mass, "rho", elem_restr_qd_i, CEED_BASIS_COLLOCATED, 89 q_data); 90 CeedOperatorSetField(op_mass, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 91 CeedOperatorSetField(op_mass, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 92 93 // Apply Setup Operator 94 CeedOperatorApply(op_setup, X, q_data, CEED_REQUEST_IMMEDIATE); 95 96 // Fully assemble operator 97 for (int k=0; k<num_dofs*num_dofs; ++k) { 98 assembled[k] = 0.0; 99 assembled_true[k] = 0.0; 100 } 101 CeedInt num_entries; 102 CeedInt *rows; 103 CeedInt *cols; 104 CeedVector values; 105 CeedOperatorLinearAssembleSymbolic(op_mass, &num_entries, &rows, &cols); 106 CeedVectorCreate(ceed, num_entries, &values); 107 CeedOperatorLinearAssemble(op_mass, values); 108 const CeedScalar *vals; 109 CeedVectorGetArrayRead(values, CEED_MEM_HOST, &vals); 110 for (int k=0; k<num_entries; ++k) { 111 assembled[rows[k]*num_dofs + cols[k]] += vals[k]; 112 } 113 CeedVectorRestoreArrayRead(values, &vals); 114 115 // Manually assemble operator 116 CeedVectorCreate(ceed, num_dofs, &U); 117 CeedVectorSetValue(U, 0.0); 118 CeedVectorCreate(ceed, num_dofs, &V); 119 for (int i=0; i<num_dofs; i++) { 120 // Set input 121 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 122 u[i] = 1.0; 123 if (i) 124 u[i-1] = 0.0; 125 CeedVectorRestoreArray(U, &u); 126 127 // Compute entries for column i 128 CeedOperatorApply(op_mass, U, V, CEED_REQUEST_IMMEDIATE); 129 130 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 131 for (int k=0; k<num_dofs; k++) { 132 assembled_true[i*num_dofs + k] = v[k]; 133 } 134 CeedVectorRestoreArrayRead(V, &v); 135 } 136 137 // Check output 138 for (int i=0; i<num_dofs; i++) 139 for (int j=0; j<num_dofs; j++) 140 if (fabs(assembled[j*num_dofs+i] - assembled_true[j*num_dofs+i]) > 1e-14) 141 // LCOV_EXCL_START 142 printf("[%d,%d] Error in assembly: %f != %f\n", i, j, 143 assembled[j*num_dofs+i], assembled_true[j*num_dofs+i]); 144 // LCOV_EXCL_STOP 145 146 // Cleanup 147 free(rows); 148 free(cols); 149 CeedVectorDestroy(&values); 150 CeedQFunctionDestroy(&qf_setup); 151 CeedQFunctionDestroy(&qf_mass); 152 CeedOperatorDestroy(&op_setup); 153 CeedOperatorDestroy(&op_mass); 154 CeedElemRestrictionDestroy(&elem_restr_u); 155 CeedElemRestrictionDestroy(&elem_restr_x); 156 CeedElemRestrictionDestroy(&elem_restr_qd_i); 157 CeedBasisDestroy(&basis_u); 158 CeedBasisDestroy(&basis_x); 159 CeedVectorDestroy(&X); 160 CeedVectorDestroy(&q_data); 161 CeedVectorDestroy(&U); 162 CeedVectorDestroy(&V); 163 CeedDestroy(&ceed); 164 return 0; 165 } 166