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t593-operator.c
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t593-operator.c
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/// @file
/// Test 1D mass matrix operator at points with heterogeneous points per element
/// \test Test 1D mass matrix operator at points with heterogeneous points per element
#include <ceed.h>
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include "t500-operator.h"
int main(int argc, char **argv) {
Ceed ceed;
CeedInt num_elem = 3, dim = 1, p = 3, q = 5;
CeedInt num_nodes_x = num_elem + 1, num_nodes_u = num_elem * (p - 1) + 1, num_points_per_elem = 4, num_points = num_elem * num_points_per_elem;
CeedInt ind_x[num_elem * 2], ind_u[num_elem * p], ind_x_points[num_elem + 1 + num_points];
CeedScalar x_array_mesh[num_nodes_x], x_array_points[num_points];
CeedVector x_points = NULL, x_elem = NULL, q_data = NULL, u = NULL, v = NULL;
CeedElemRestriction elem_restriction_x_points, elem_restriction_q_data, elem_restriction_x, elem_restriction_u;
CeedBasis basis_x, basis_u;
CeedQFunction qf_setup, qf_mass;
CeedOperator op_setup, op_mass;
bool is_at_points;
CeedInit(argv[1], &ceed);
// Mesh coordinates
for (CeedInt i = 0; i < num_nodes_x; i++) x_array_mesh[i] = (CeedScalar)i / (num_nodes_x - 1);
for (CeedInt i = 0; i < num_elem; i++) {
ind_x[2 * i + 0] = i;
ind_x[2 * i + 1] = i + 1;
}
CeedElemRestrictionCreate(ceed, num_elem, 2, 1, 1, num_nodes_x, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x);
CeedVectorCreate(ceed, num_nodes_x, &x_elem);
CeedVectorSetArray(x_elem, CEED_MEM_HOST, CEED_USE_POINTER, x_array_mesh);
// U mesh
for (CeedInt i = 0; i < num_elem; i++) {
for (CeedInt j = 0; j < p; j++) {
ind_u[p * i + j] = i * (p - 1) + j;
}
}
CeedElemRestrictionCreate(ceed, num_elem, p, 1, 1, num_nodes_u, CEED_MEM_HOST, CEED_USE_POINTER, ind_u, &elem_restriction_u);
// Point reference coordinates
{
CeedScalar weight_tmp[num_points_per_elem + 1];
CeedInt current_index = 0;
// Use num_points_per_elem + 1 to test non-uniform quadrature
CeedGaussQuadrature(num_points_per_elem + 1, x_array_points, weight_tmp);
ind_x_points[0] = num_elem + 1;
for (CeedInt p = 0; p < num_points_per_elem + 1; p++, current_index++) {
ind_x_points[num_elem + 1 + current_index] = current_index;
}
// Use num_points_per_elem for middle elements
for (CeedInt e = 1; e < num_elem - 1; e++) {
CeedGaussQuadrature(num_points_per_elem, &x_array_points[current_index], weight_tmp);
ind_x_points[e] = num_elem + 1 + current_index;
for (CeedInt p = 0; p < num_points_per_elem; p++, current_index++) {
ind_x_points[num_elem + 1 + current_index] = current_index;
}
}
// Use num_points_per_elem - 1 to test non-uniform quadrature
CeedGaussQuadrature(num_points_per_elem - 1, &x_array_points[current_index], weight_tmp);
ind_x_points[num_elem - 1] = num_elem + 1 + current_index;
for (CeedInt p = 0; p < num_points_per_elem - 1; p++, current_index++) {
ind_x_points[num_elem + 1 + current_index] = current_index;
}
ind_x_points[num_elem] = num_elem + 1 + current_index;
CeedVectorCreate(ceed, num_elem * num_points_per_elem, &x_points);
CeedVectorSetArray(x_points, CEED_MEM_HOST, CEED_USE_POINTER, x_array_points);
CeedElemRestrictionCreateAtPoints(ceed, num_elem, num_points, 1, num_points, CEED_MEM_HOST, CEED_COPY_VALUES, ind_x_points,
&elem_restriction_x_points);
CeedElemRestrictionCreateAtPoints(ceed, num_elem, num_points, 1, num_points, CEED_MEM_HOST, CEED_COPY_VALUES, ind_x_points,
&elem_restriction_q_data);
// Q data
CeedVectorCreate(ceed, num_points, &q_data);
}
// Basis creation
CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, 2, q, CEED_GAUSS, &basis_x);
CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u);
// Setup geometric scaling
CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup);
CeedQFunctionAddInput(qf_setup, "x", dim * dim, CEED_EVAL_GRAD);
CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT);
CeedQFunctionAddOutput(qf_setup, "rho", 1, CEED_EVAL_NONE);
CeedOperatorCreateAtPoints(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup);
CeedOperatorSetField(op_setup, "x", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
CeedOperatorSetField(op_setup, "rho", elem_restriction_q_data, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE);
CeedOperatorAtPointsSetPoints(op_setup, elem_restriction_x_points, x_points);
CeedOperatorApply(op_setup, x_elem, q_data, CEED_REQUEST_IMMEDIATE);
// Mass operator
CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass);
CeedQFunctionAddInput(qf_mass, "u", 1, CEED_EVAL_INTERP);
CeedQFunctionAddInput(qf_mass, "rho", 1, CEED_EVAL_NONE);
CeedQFunctionAddOutput(qf_mass, "v", 1, CEED_EVAL_INTERP);
CeedOperatorCreateAtPoints(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass);
CeedOperatorSetField(op_mass, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
CeedOperatorSetField(op_mass, "rho", elem_restriction_q_data, CEED_BASIS_NONE, q_data);
CeedOperatorSetField(op_mass, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
CeedOperatorAtPointsSetPoints(op_mass, elem_restriction_x_points, x_points);
CeedOperatorIsAtPoints(op_mass, &is_at_points);
if (!is_at_points) printf("Error: Operator should be at points\n");
CeedVectorCreate(ceed, num_nodes_u, &u);
CeedVectorSetValue(u, 0.0);
CeedVectorCreate(ceed, num_nodes_u, &v);
// Assemble QFunction
CeedOperatorApply(op_mass, u, v, CEED_REQUEST_IMMEDIATE);
// Check output
{
const CeedScalar *v_array;
CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array);
for (CeedInt i = 0; i < num_nodes_u; i++) {
if (fabs(v_array[i]) > 1e-14) printf("[%" CeedInt_FMT "] v %g != 0.0\n", i, v_array[i]);
}
CeedVectorRestoreArrayRead(v, &v_array);
}
// Cleanup
CeedVectorDestroy(&q_data);
CeedVectorDestroy(&u);
CeedVectorDestroy(&v);
CeedVectorDestroy(&x_points);
CeedVectorDestroy(&q_data);
CeedVectorDestroy(&x_elem);
CeedElemRestrictionDestroy(&elem_restriction_q_data);
CeedElemRestrictionDestroy(&elem_restriction_x);
CeedElemRestrictionDestroy(&elem_restriction_x_points);
CeedElemRestrictionDestroy(&elem_restriction_u);
CeedBasisDestroy(&basis_x);
CeedBasisDestroy(&basis_u);
CeedQFunctionDestroy(&qf_setup);
CeedQFunctionDestroy(&qf_mass);
CeedOperatorDestroy(&op_setup);
CeedOperatorDestroy(&op_mass);
CeedDestroy(&ceed);
return 0;
}