1 /// @file 2 /// Test assembly of mass matrix operator point block diagonal 3 /// \test Test assembly of mass matrix operator point block diagonal 4 #include "t537-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; 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, num_comp = 2; 19 CeedInt n_x = 3, n_y = 2; 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_true[num_comp * num_comp * 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 < n_x * (p - 1) + 1; i++) { 32 for (CeedInt j = 0; j < n_y * (p - 1) + 1; j++) { 33 x_array[i + j * (n_x * (p - 1) + 1) + 0 * num_dofs] = (CeedScalar)i / ((p - 1) * n_x); 34 x_array[i + j * (n_x * (p - 1) + 1) + 1 * num_dofs] = (CeedScalar)j / ((p - 1) * n_y); 35 } 36 } 37 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 38 } 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 % 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++) ind_x[p * (p * i + k) + j] = offset + k * (n_x * 2 + 1) + j; 49 } 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, num_comp, num_dofs, num_comp * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, 53 &elem_restriction_u); 54 55 CeedInt strides_q_data[3] = {1, q * q, q * q}; 56 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data, &elem_restriction_q_data); 57 58 // Bases 59 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x); 60 CeedBasisCreateTensorH1Lagrange(ceed, dim, num_comp, p, q, CEED_GAUSS, &basis_u); 61 62 // QFunctions 63 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 64 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT); 65 CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD); 66 CeedQFunctionAddOutput(qf_setup, "rho", 1, CEED_EVAL_NONE); 67 68 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass); 69 CeedQFunctionAddInput(qf_mass, "rho", 1, CEED_EVAL_NONE); 70 CeedQFunctionAddInput(qf_mass, "u", num_comp, CEED_EVAL_INTERP); 71 CeedQFunctionAddOutput(qf_mass, "v", num_comp, CEED_EVAL_INTERP); 72 73 // Operators 74 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup); 75 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 76 CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 77 CeedOperatorSetField(op_setup, "rho", elem_restriction_q_data, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 78 79 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass); 80 CeedOperatorSetField(op_mass, "rho", elem_restriction_q_data, CEED_BASIS_COLLOCATED, q_data); 81 CeedOperatorSetField(op_mass, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 82 CeedOperatorSetField(op_mass, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 83 84 // Apply Setup Operator 85 CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE); 86 87 // Assemble diagonal 88 CeedVectorCreate(ceed, num_comp * num_comp * num_dofs, &assembled); 89 CeedOperatorLinearAssemblePointBlockDiagonal(op_mass, assembled, CEED_REQUEST_IMMEDIATE); 90 91 // Manually assemble diagonal 92 CeedVectorCreate(ceed, num_comp * num_dofs, &u); 93 CeedVectorSetValue(u, 0.0); 94 CeedVectorCreate(ceed, num_comp * num_dofs, &v); 95 for (int i = 0; i < num_comp * num_comp * num_dofs; i++) assembled_true[i] = 0.0; 96 CeedInt ind_old = -1; 97 for (int i = 0; i < num_dofs; i++) { 98 for (int j = 0; j < num_comp; j++) { 99 CeedScalar *u_array; 100 const CeedScalar *v_array; 101 102 // Set input 103 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 104 CeedInt ind = i + j * num_dofs; 105 u_array[ind] = 1.0; 106 if (ind > 0) u_array[ind_old] = 0.0; 107 ind_old = ind; 108 CeedVectorRestoreArray(u, &u_array); 109 110 // Compute effect of DoF i, comp j 111 CeedOperatorApply(op_mass, u, v, CEED_REQUEST_IMMEDIATE); 112 113 // Retrieve entry 114 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 115 for (int k = 0; k < num_comp; k++) assembled_true[i * num_comp * num_comp + k * num_comp + j] += v_array[i + k * num_dofs]; 116 CeedVectorRestoreArrayRead(v, &v_array); 117 } 118 } 119 120 // Check output 121 { 122 const CeedScalar *assembled_array; 123 124 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 125 for (int i = 0; i < num_comp * num_comp * num_dofs; i++) { 126 if (fabs(assembled_array[i] - assembled_true[i]) > 100. * CEED_EPSILON) { 127 // LCOV_EXCL_START 128 printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, assembled_array[i], assembled_true[i]); 129 // LCOV_EXCL_STOP 130 } 131 } 132 CeedVectorRestoreArrayRead(assembled, &assembled_array); 133 } 134 135 // Cleanup 136 CeedVectorDestroy(&x); 137 CeedVectorDestroy(&assembled); 138 CeedVectorDestroy(&q_data); 139 CeedVectorDestroy(&u); 140 CeedVectorDestroy(&v); 141 CeedElemRestrictionDestroy(&elem_restriction_u); 142 CeedElemRestrictionDestroy(&elem_restriction_x); 143 CeedElemRestrictionDestroy(&elem_restriction_q_data); 144 CeedBasisDestroy(&basis_u); 145 CeedBasisDestroy(&basis_x); 146 CeedQFunctionDestroy(&qf_setup); 147 CeedQFunctionDestroy(&qf_mass); 148 CeedOperatorDestroy(&op_setup); 149 CeedOperatorDestroy(&op_mass); 150 CeedDestroy(&ceed); 151 return 0; 152 } 153