bempp 0.2.0

Boundary element method library.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230

//! Integrands
use super::CellGeometry;
use crate::assembly::common::RlstArray;
use rlst::RlstScalar;
use rlst::UnsafeRandomAccessByRef;
use std::marker::PhantomData;

/// 1D access
pub trait Access1D {
    /// Value tyoe
    type T;
    /// Get value
    ///
    /// # Safety
    /// This function uses unsafe memory access
    unsafe fn get(&self, i: usize) -> Self::T;
}

/// 2D access
pub trait Access2D {
    /// Value tyoe
    type T;
    /// Get value
    ///
    /// # Safety
    /// This function uses unsafe memory access
    unsafe fn get(&self, i: usize, j: usize) -> Self::T;
}

/// Geometry access
pub trait GeometryAccess {
    /// Value tyoe
    type T;
    /// Get component of the point
    ///
    /// # Safety
    /// This function uses unsafe memory access
    unsafe fn point(&self, i: usize) -> Self::T;
    /// Get component of the normal
    ///
    /// # Safety
    /// This function uses unsafe memory access
    unsafe fn normal(&self, i: usize) -> Self::T;
    /// Get component of the jacobian
    ///
    /// # Safety
    /// This function uses unsafe memory access
    unsafe fn jacobian(&self, i: usize) -> Self::T;
    /// Get determinant of the jacobian
    ///
    /// # Safety
    /// This function uses unsafe memory access
    unsafe fn jdet(&self) -> Self::T;
}

/// Non-singular kernel with 1D access
struct NonSingularKernel<'a, T: RlstScalar> {
    k: &'a RlstArray<T, 3>,
    test_point_index: usize,
    trial_point_index: usize,
}

impl<'a, T: RlstScalar> NonSingularKernel<'a, T> {
    /// Create new
    fn new(k: &'a RlstArray<T, 3>, test_point_index: usize, trial_point_index: usize) -> Self {
        Self {
            k,
            test_point_index,
            trial_point_index,
        }
    }
}

impl<'a, T: RlstScalar> Access1D for NonSingularKernel<'a, T> {
    type T = T;

    unsafe fn get(&self, i: usize) -> Self::T {
        *self
            .k
            .get_unchecked([i, self.test_point_index, self.trial_point_index])
    }
}

/// Singular kernel with 1D access
struct SingularKernel<'a, T: RlstScalar> {
    k: &'a RlstArray<T, 2>,
    point_index: usize,
}

impl<'a, T: RlstScalar> SingularKernel<'a, T> {
    fn new(k: &'a RlstArray<T, 2>, point_index: usize) -> Self {
        Self { k, point_index }
    }
}

impl<'a, T: RlstScalar> Access1D for SingularKernel<'a, T> {
    type T = T;

    unsafe fn get(&self, i: usize) -> Self::T {
        *self.k.get_unchecked([i, self.point_index])
    }
}

/// Entry in tabulated data
struct Table<'a, T: RlstScalar> {
    table: &'a RlstArray<T, 4>,
    point_index: usize,
    basis_index: usize,
}

impl<'a, T: RlstScalar> Table<'a, T> {
    fn new(table: &'a RlstArray<T, 4>, point_index: usize, basis_index: usize) -> Self {
        Self {
            table,
            point_index,
            basis_index,
        }
    }
}
impl<'a, T: RlstScalar> Access2D for Table<'a, T> {
    type T = T;
    unsafe fn get(&self, i: usize, j: usize) -> Self::T {
        *self
            .table
            .get_unchecked([i, self.point_index, self.basis_index, j])
    }
}

/// Geometry for a point
struct Geometry<'a, T: RlstScalar, G: CellGeometry<T = T::Real>> {
    geometry: &'a G,
    point_index: usize,
    _t: PhantomData<T>,
}

impl<'a, T: RlstScalar, G: CellGeometry<T = T::Real>> Geometry<'a, T, G> {
    fn new(geometry: &'a G, point_index: usize) -> Self {
        Self {
            geometry,
            point_index,
            _t: PhantomData,
        }
    }
}
impl<'a, T: RlstScalar, G: CellGeometry<T = T::Real>> GeometryAccess for Geometry<'a, T, G> {
    type T = T;
    unsafe fn point(&self, i: usize) -> Self::T {
        T::from(*self.geometry.points().get_unchecked([i, self.point_index])).unwrap()
    }
    unsafe fn normal(&self, i: usize) -> Self::T {
        T::from(*self.geometry.normals().get_unchecked([i, self.point_index])).unwrap()
    }
    unsafe fn jacobian(&self, i: usize) -> Self::T {
        T::from(
            *self
                .geometry
                .jacobians()
                .get_unchecked([i, self.point_index]),
        )
        .unwrap()
    }
    unsafe fn jdet(&self) -> Self::T {
        T::from(*self.geometry.jdets().get_unchecked(self.point_index)).unwrap()
    }
}

pub unsafe trait BoundaryIntegrand {
    //! Integrand
    //!
    //! # Safety
    //! This trait's methods use unsafe access

    /// Scalar type
    type T: RlstScalar;

    /// Evaluate integrand
    fn evaluate(
        &self,
        k: &impl Access1D<T = Self::T>,
        test_table: &impl Access2D<T = Self::T>,
        trial_table: &impl Access2D<T = Self::T>,
        test_geometry: &impl GeometryAccess<T = Self::T>,
        trial_geometry: &impl GeometryAccess<T = Self::T>,
    ) -> Self::T;

    #[allow(clippy::too_many_arguments)]
    /// Evaluate integrand for a singular quadrature rule
    fn evaluate_nonsingular(
        &self,
        test_table: &RlstArray<Self::T, 4>,
        trial_table: &RlstArray<Self::T, 4>,
        test_point_index: usize,
        trial_point_index: usize,
        test_basis_index: usize,
        trial_basis_index: usize,
        k: &RlstArray<Self::T, 3>,
        test_geometry: &impl CellGeometry<T = <Self::T as RlstScalar>::Real>,
        trial_geometry: &impl CellGeometry<T = <Self::T as RlstScalar>::Real>,
    ) -> Self::T {
        self.evaluate(
            &NonSingularKernel::new(k, test_point_index, trial_point_index),
            &Table::new(test_table, test_point_index, test_basis_index),
            &Table::new(trial_table, trial_point_index, trial_basis_index),
            &Geometry::new(test_geometry, test_point_index),
            &Geometry::new(trial_geometry, trial_point_index),
        )
    }

    #[allow(clippy::too_many_arguments)]
    /// Evaluate integrand for a non-singular quadrature rule
    fn evaluate_singular(
        &self,
        test_table: &RlstArray<Self::T, 4>,
        trial_table: &RlstArray<Self::T, 4>,
        point_index: usize,
        test_basis_index: usize,
        trial_basis_index: usize,
        k: &RlstArray<Self::T, 2>,
        test_geometry: &impl CellGeometry<T = <Self::T as RlstScalar>::Real>,
        trial_geometry: &impl CellGeometry<T = <Self::T as RlstScalar>::Real>,
    ) -> Self::T {
        self.evaluate(
            &SingularKernel::new(k, point_index),
            &Table::new(test_table, point_index, test_basis_index),
            &Table::new(trial_table, point_index, trial_basis_index),
            &Geometry::new(test_geometry, point_index),
            &Geometry::new(trial_geometry, point_index),
        )
    }
}