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//! Boundary operator assembly
pub mod boundary;
pub(crate) mod common;
pub mod fmm_tools;
pub mod kernels;
pub mod potential;
#[cfg(test)]
mod test {
use super::*;
use crate::function::SerialFunctionSpace;
use crate::traits::{BoundaryAssembly, FunctionSpace};
use cauchy::{c32, c64};
use ndelement::ciarlet::CiarletElement;
use ndelement::ciarlet::LagrangeElementFamily;
use ndelement::types::{Continuity, ReferenceCellType};
use ndgrid::{
grid::serial::{SingleElementGrid, SingleElementGridBuilder},
shapes::regular_sphere,
traits::Builder,
types::RealScalar,
};
use paste::paste;
use rlst::{rlst_dynamic_array2, MatrixInverse, RlstScalar};
fn quadrilateral_grid<T: RealScalar + MatrixInverse>() -> SingleElementGrid<T, CiarletElement<T>>
{
let mut b = SingleElementGridBuilder::<T>::new(3, (ReferenceCellType::Quadrilateral, 1));
for j in 0..4 {
for i in 0..4 {
b.add_point(
4 * j + i,
&[
num::cast::<usize, T>(i).unwrap() / num::cast::<f64, T>(3.0).unwrap(),
num::cast::<usize, T>(j).unwrap() / num::cast::<f64, T>(3.0).unwrap(),
num::cast::<f64, T>(0.0).unwrap(),
],
);
}
}
for j in 0..3 {
for i in 0..3 {
b.add_cell(
3 * j + i,
&[4 * j + i, 4 * j + i + 1, 4 * j + i + 4, 4 * j + i + 5],
);
}
}
b.create_grid()
}
/*
fn mixed_grid<T: Float + RlstScalar<Real = T>>() -> MixedGrid<T>
where
for<'a> Array<T, ArrayViewMut<'a, T, BaseArray<T, VectorContainer<T>, 2>, 2>, 2>:
MatrixInverse,
{
let mut b = MixedGridBuilder::<3, T>::new(());
for j in 0..4 {
for i in 0..4 {
b.add_point(
4 * j + i,
[
num::cast::<usize, T>(i).unwrap() / num::cast::<f64, T>(3.0).unwrap(),
num::cast::<usize, T>(j).unwrap() / num::cast::<f64, T>(3.0).unwrap(),
num::cast::<f64, T>(0.0).unwrap(),
],
);
}
}
for j in 0..3 {
b.add_cell(
j,
(
vec![4 * j, 4 * j + 1, 4 * j + 4, 4 * j + 5],
ReferenceCellType::Quadrilateral,
1,
),
);
}
for j in 0..3 {
b.add_cell(
3 + 2 * j,
(
vec![4 * j + 1, 4 * j + 2, 4 * j + 6],
ReferenceCellType::Triangle,
1,
),
);
b.add_cell(
4 + 2 * j,
(
vec![4 * j + 1, 4 * j + 6, 4 * j + 5],
ReferenceCellType::Triangle,
1,
),
);
}
for j in 0..3 {
b.add_cell(
9 + j,
(
vec![4 * j + 2, 4 * j + 3, 4 * j + 6, 4 * j + 7],
ReferenceCellType::Quadrilateral,
1,
),
);
}
b.create_grid()
}
*/
macro_rules! example_grid {
(Triangle, $dtype:ident) => {
regular_sphere(0)
};
(Quadrilateral, $dtype:ident) => {
quadrilateral_grid::<<$dtype as RlstScalar>::Real>()
}; //(Mixed, $dtype:ident) => {
// mixed_grid::<<$dtype as RlstScalar>::Real>()
//};
}
macro_rules! create_assembler {
(Laplace, Hypersingular, $dtype:ident) => {
paste! {
boundary::HypersingularAssembler::<[<$dtype>], _, _>::new_laplace()
}
};
(Helmholtz, Hypersingular, $dtype:ident) => {
paste! {
boundary::HypersingularAssembler::<[<$dtype>], _, _>::new_helmholtz(3.0)
}
};
(Laplace, $operator:ident, $dtype:ident) => {
paste! {
boundary::BoundaryAssembler::<[<$dtype>], _, _>::[<new_laplace_ $operator>]()
}
};
(Helmholtz, $operator:ident, $dtype:ident) => {
paste! {
boundary::BoundaryAssembler::<[<$dtype>], _, _>::[<new_helmholtz_ $operator>](3.0)
}
};
}
macro_rules! test_assembly {
($(($dtype:ident, $pde:ident, $operator:ident, $cell:ident)),+) => {
$(
paste! {
#[test]
fn [<test_assembly_ $pde:lower _ $operator:lower _ $cell:lower _ $dtype>]() {
let grid = example_grid!($cell, $dtype);
let element = LagrangeElementFamily::<[<$dtype>]>::new(0, Continuity::Discontinuous);
let space = SerialFunctionSpace::new(&grid, &element);
let ndofs = space.global_size();
let mut matrix = rlst_dynamic_array2!([<$dtype>], [ndofs, ndofs]);
let a = create_assembler!($pde, $operator, $dtype);
a.assemble_into_dense(&mut matrix, &space, &space);
}
}
)*
};
}
test_assembly!(
(f64, Laplace, single_layer, Triangle),
(f32, Laplace, single_layer, Triangle),
//(c64, Laplace, single_layer, Triangle),
//(c32, Laplace, single_layer, Triangle),
(f64, Laplace, double_layer, Triangle),
(f32, Laplace, double_layer, Triangle),
//(c64, Laplace, double_layer, Triangle),
//(c32, Laplace, double_layer, Triangle),
(f64, Laplace, adjoint_double_layer, Triangle),
(f32, Laplace, adjoint_double_layer, Triangle),
//(c64, Laplace, adjoint_double_layer, Triangle),
//(c32, Laplace, adjoint_double_layer, Triangle),
(f64, Laplace, hypersingular, Triangle),
(f32, Laplace, hypersingular, Triangle),
//(c64, Laplace, hypersingular, Triangle),
//(c32, Laplace, hypersingular, Triangle),
(c64, Helmholtz, single_layer, Triangle),
(c32, Helmholtz, single_layer, Triangle),
(c64, Helmholtz, double_layer, Triangle),
(c32, Helmholtz, double_layer, Triangle),
(c64, Helmholtz, adjoint_double_layer, Triangle),
(c32, Helmholtz, adjoint_double_layer, Triangle),
(c64, Helmholtz, hypersingular, Triangle),
(c32, Helmholtz, hypersingular, Triangle),
(f64, Laplace, single_layer, Quadrilateral),
(f32, Laplace, single_layer, Quadrilateral),
//(c64, Laplace, single_layer, Quadrilateral),
//(c32, Laplace, single_layer, Quadrilateral),
(f64, Laplace, double_layer, Quadrilateral),
(f32, Laplace, double_layer, Quadrilateral),
//(c64, Laplace, double_layer, Quadrilateral),
//(c32, Laplace, double_layer, Quadrilateral),
(f64, Laplace, adjoint_double_layer, Quadrilateral),
(f32, Laplace, adjoint_double_layer, Quadrilateral),
//(c64, Laplace, adjoint_double_layer, Quadrilateral),
//(c32, Laplace, adjoint_double_layer, Quadrilateral),
(f64, Laplace, hypersingular, Quadrilateral),
(f32, Laplace, hypersingular, Quadrilateral),
//(c64, Laplace, hypersingular, Quadrilateral),
//(c32, Laplace, hypersingular, Quadrilateral),
(c64, Helmholtz, single_layer, Quadrilateral),
(c32, Helmholtz, single_layer, Quadrilateral),
(c64, Helmholtz, double_layer, Quadrilateral),
(c32, Helmholtz, double_layer, Quadrilateral),
(c64, Helmholtz, adjoint_double_layer, Quadrilateral),
(c32, Helmholtz, adjoint_double_layer, Quadrilateral),
(c64, Helmholtz, hypersingular, Quadrilateral),
(c32, Helmholtz, hypersingular, Quadrilateral) //(f64, Laplace, single_layer, Mixed),
//(f32, Laplace, single_layer, Mixed),
//(c64, Laplace, single_layer, Mixed),
//(c32, Laplace, single_layer, Mixed),
//(f64, Laplace, double_layer, Mixed),
//(f32, Laplace, double_layer, Mixed),
//(c64, Laplace, double_layer, Mixed),
//(c32, Laplace, double_layer, Mixed),
//(f64, Laplace, adjoint_double_layer, Mixed),
//(f32, Laplace, adjoint_double_layer, Mixed),
//(c64, Laplace, adjoint_double_layer, Mixed),
//(c32, Laplace, adjoint_double_layer, Mixed),
//(f64, Laplace, hypersingular, Mixed),
//(f32, Laplace, hypersingular, Mixed),
//(c64, Laplace, hypersingular, Mixed),
//(c32, Laplace, hypersingular, Mixed),
//(c64, Helmholtz, single_layer, Mixed),
//(c32, Helmholtz, single_layer, Mixed),
//(c64, Helmholtz, double_layer, Mixed),
//(c32, Helmholtz, double_layer, Mixed),
//(c64, Helmholtz, adjoint_double_layer, Mixed),
//(c32, Helmholtz, adjoint_double_layer, Mixed),
//(c64, Helmholtz, hypersingular, Mixed),
//(c32, Helmholtz, hypersingular, Mixed)
);
}