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WIP: Adding cell evaluator for function space
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//! This file implements an example Laplace evaluator test the different involved operators. | ||
use std::rc::Rc; | ||
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use bempp::{ | ||
boundary_assemblers::BoundaryAssemblerOptions, evaluator_tools::NeighbourEvaluator, | ||
function::LocalFunctionSpaceTrait, | ||
}; | ||
use green_kernels::laplace_3d::Laplace3dKernel; | ||
use itertools::Itertools; | ||
use mpi::traits::Communicator; | ||
use ndelement::{ciarlet::LagrangeElementFamily, types::ReferenceCellType}; | ||
use ndgrid::{ | ||
traits::{Entity, GeometryMap, Grid, Topology}, | ||
types::Ownership, | ||
}; | ||
use rand::SeedableRng; | ||
use rand_chacha::ChaCha8Rng; | ||
use rlst::{ | ||
operator::{interface::DistributedArrayVectorSpace, zero_element, Operator}, | ||
rlst_dynamic_array1, AsApply, MultInto, OperatorBase, | ||
}; | ||
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fn main() { | ||
let universe = mpi::initialize().unwrap(); | ||
let world = universe.world(); | ||
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let mut rng = ChaCha8Rng::seed_from_u64(world.rank() as u64); | ||
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let grid = bempp::shapes::regular_sphere::<f64, _>(5, 1, &world); | ||
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let quad_degree = 6; | ||
// Get the number of cells in the grid. | ||
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let n_cells = grid.entity_iter(2).count(); | ||
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println!("Number of cells: {}", n_cells); | ||
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let space = bempp::function::FunctionSpace::new( | ||
&grid, | ||
&LagrangeElementFamily::<f64>::new(1, ndelement::types::Continuity::Discontinuous), | ||
); | ||
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let dofs = space.cell_dofs(50).unwrap().to_vec(); | ||
let vertex_ids = grid | ||
.entity(2, 50) | ||
.unwrap() | ||
.topology() | ||
.sub_entity_iter(0) | ||
.collect_vec(); | ||
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println!("Dofs: {:#?}", dofs); | ||
println!("Vertex ids: {:#?}", vertex_ids); | ||
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let mut options = BoundaryAssemblerOptions::default(); | ||
options.set_regular_quadrature_degree(ReferenceCellType::Triangle, quad_degree); | ||
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let quad_degree = options | ||
.get_regular_quadrature_degree(ReferenceCellType::Triangle) | ||
.unwrap(); | ||
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let assembler = bempp::laplace::assembler::single_layer::<f64>(&options); | ||
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let dense_matrix = assembler.assemble(&space, &space); | ||
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// Now let's build an evaluator. | ||
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//First initialise the index layouts. | ||
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let space_layout = Rc::new(bempp_distributed_tools::IndexLayout::from_local_counts( | ||
space.global_size(), | ||
&world, | ||
)); | ||
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let point_layout = Rc::new(bempp_distributed_tools::IndexLayout::from_local_counts( | ||
quad_degree * n_cells, | ||
&world, | ||
)); | ||
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// Instantiate function spaces. | ||
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let array_function_space = | ||
DistributedArrayVectorSpace::<_, f64>::from_index_layout(space_layout.clone()); | ||
let point_function_space = | ||
DistributedArrayVectorSpace::<_, f64>::from_index_layout(point_layout.clone()); | ||
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let qrule = bempp_quadrature::simplex_rules::simplex_rule_triangle(quad_degree).unwrap(); | ||
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let space_to_point = | ||
bempp::evaluator_tools::basis_to_point_map(&space, &qrule.points, &qrule.weights, false); | ||
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let point_to_space = | ||
bempp::evaluator_tools::basis_to_point_map(&space, &qrule.points, &qrule.weights, true); | ||
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// We now have to get all the points from the grid. We do this by iterating through all cells. | ||
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let mut points = vec![0 as f64; 3 * quad_degree * n_cells]; | ||
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let geometry_map = grid.geometry_map(ReferenceCellType::Triangle, &qrule.points); | ||
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for cell in grid | ||
.entity_iter(2) | ||
.filter(|e| matches!(e.ownership(), Ownership::Owned)) | ||
{ | ||
let start_index = 3 * point_function_space | ||
.index_layout() | ||
.global2local(world.rank() as usize, qrule.npoints * cell.global_index()) | ||
.unwrap(); | ||
geometry_map.points( | ||
cell.local_index(), | ||
&mut points[start_index..start_index + 3 * qrule.npoints], | ||
); | ||
} | ||
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let kernel_evaluator = bempp::greens_function_evaluators::dense_evaluator::DenseEvaluator::new( | ||
&points, | ||
&points, | ||
green_kernels::types::GreenKernelEvalType::Value, | ||
true, | ||
Laplace3dKernel::default(), | ||
&world, | ||
); | ||
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// let kernel_evaluator = bempp::greens_function_evaluators::kifmm_evaluator::KiFmmEvaluator::new( | ||
// &points, &points, 1, 3, 5, &world, | ||
// ); | ||
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let correction = NeighbourEvaluator::new( | ||
&qrule.points, | ||
Laplace3dKernel::default(), | ||
green_kernels::types::GreenKernelEvalType::Value, | ||
space.support_cells(), | ||
&grid, | ||
); | ||
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let corrected_evaluator = kernel_evaluator.r().sum(correction.r().scale(-1.0)); | ||
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let prod1 = corrected_evaluator.r().product(space_to_point.r()); | ||
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let singular_operator = Operator::from(assembler.assemble_singular(&space, &space)); | ||
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let laplace_evaluator = (point_to_space.product(prod1)).sum(singular_operator.r()); | ||
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let mut x = zero_element(array_function_space.clone()); | ||
x.view_mut() | ||
.local_mut() | ||
.fill_from_equally_distributed(&mut rng); | ||
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let res = laplace_evaluator.apply(x.r()); | ||
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let res_local = res.view().local(); | ||
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let mut expected = rlst_dynamic_array1!(f64, [space.global_size()]); | ||
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expected | ||
.r_mut() | ||
.simple_mult_into(dense_matrix.r(), x.view().local().r()); | ||
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let rel_diff = (expected.r() - res_local.r()).norm_2() / expected.r().norm_2(); | ||
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println!("Relative difference: {}", rel_diff); | ||
} |
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