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 <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, 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, num_comp = 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_comp * num_comp * 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 } 36 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 37 } 38 CeedVectorCreate(ceed, num_qpts, &q_data); 39 40 // Restrictions 41 for (CeedInt i = 0; i < num_elem; i++) { 42 CeedInt col, row, offset; 43 col = i % nx; 44 row = i / nx; 45 offset = col * (p - 1) + row * (nx * 2 + 1) * (p - 1); 46 for (CeedInt j = 0; j < p; j++) { 47 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (nx * 2 + 1) + j; 48 } 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, num_comp, num_dofs, num_comp * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, 52 &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, num_comp, 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", num_comp, CEED_EVAL_INTERP); 70 CeedQFunctionAddOutput(qf_mass, "v", num_comp, 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_comp * num_comp * num_dofs, &assembled); 88 CeedOperatorLinearAssemblePointBlockDiagonal(op_mass, assembled, CEED_REQUEST_IMMEDIATE); 89 90 // Manually assemble diagonal 91 CeedVectorCreate(ceed, num_comp * num_dofs, &u); 92 CeedVectorSetValue(u, 0.0); 93 CeedVectorCreate(ceed, num_comp * num_dofs, &v); 94 for (int i = 0; i < num_comp * num_comp * num_dofs; i++) assembled_true[i] = 0.0; 95 CeedInt ind_old = -1; 96 for (int i = 0; i < num_dofs; i++) { 97 for (int j = 0; j < num_comp; j++) { 98 CeedScalar *u_array; 99 const CeedScalar *v_array; 100 101 // Set input 102 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 103 CeedInt ind = i + j * num_dofs; 104 u_array[ind] = 1.0; 105 if (ind > 0) u_array[ind_old] = 0.0; 106 ind_old = ind; 107 CeedVectorRestoreArray(u, &u_array); 108 109 // Compute effect of DoF i, comp j 110 CeedOperatorApply(op_mass, u, v, CEED_REQUEST_IMMEDIATE); 111 112 // Retrieve entry 113 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 114 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]; 115 CeedVectorRestoreArrayRead(v, &v_array); 116 } 117 } 118 119 // Check output 120 { 121 const CeedScalar *assembled_array; 122 123 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 124 for (int i = 0; i < num_comp * num_comp * num_dofs; i++) { 125 if (fabs(assembled_array[i] - assembled_true[i]) > 100. * CEED_EPSILON) { 126 // LCOV_EXCL_START 127 printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, assembled_array[i], assembled_true[i]); 128 // LCOV_EXCL_STOP 129 } 130 } 131 CeedVectorRestoreArrayRead(assembled, &assembled_array); 132 } 133 134 // Cleanup 135 CeedVectorDestroy(&x); 136 CeedVectorDestroy(&assembled); 137 CeedVectorDestroy(&q_data); 138 CeedVectorDestroy(&u); 139 CeedVectorDestroy(&v); 140 CeedElemRestrictionDestroy(&elem_restriction_u); 141 CeedElemRestrictionDestroy(&elem_restriction_x); 142 CeedElemRestrictionDestroy(&elem_restriction_q_data); 143 CeedBasisDestroy(&basis_u); 144 CeedBasisDestroy(&basis_x); 145 CeedQFunctionDestroy(&qf_setup); 146 CeedQFunctionDestroy(&qf_mass); 147 CeedOperatorDestroy(&op_setup); 148 CeedOperatorDestroy(&op_mass); 149 CeedDestroy(&ceed); 150 return 0; 151 } 152