Mon, 21 Oct 2024 08:44:23 -0500
Add a zero function on manifolds
5 | 1 | |
2 | use alg_tools::mapping::Apply; | |
3 | use crate::manifold::ManifoldPoint; | |
4 | use crate::fb::{Grad, Desc}; | |
5 | ||
6 | /// Structure for distance-to functions | |
7 | pub struct DistTo<M : ManifoldPoint> { | |
8 | base : M | |
9 | } | |
10 | ||
11 | impl<M : ManifoldPoint> Apply<M> for DistTo<M> { | |
12 | type Output = f64; | |
13 | ||
14 | fn apply(&self, x : M) -> Self::Output { | |
15 | self.base.dist_to(&x) | |
16 | } | |
17 | } | |
18 | ||
19 | impl<'a, M : ManifoldPoint> Apply<&'a M> for DistTo<M> { | |
20 | type Output = f64; | |
21 | ||
22 | fn apply(&self, x : &'a M) -> Self::Output { | |
23 | self.base.dist_to(x) | |
24 | } | |
25 | } | |
26 | ||
27 | /// Structure for distance-to functions | |
28 | pub struct DistToSquaredDiv2<M : ManifoldPoint> { | |
29 | base : M | |
30 | } | |
31 | ||
32 | impl<M : ManifoldPoint> Apply<M> for DistToSquaredDiv2<M> { | |
33 | type Output = f64; | |
34 | ||
35 | fn apply(&self, x : M) -> Self::Output { | |
36 | let d = self.base.dist_to(&x); | |
37 | d*d / 2.0 | |
38 | } | |
39 | } | |
40 | ||
41 | impl<'a, M : ManifoldPoint> Apply<&'a M> for DistToSquaredDiv2<M> { | |
42 | type Output = f64; | |
43 | ||
44 | fn apply(&self, x : &'a M) -> Self::Output { | |
45 | let d = self.base.dist_to(x); | |
46 | d*d / 2.0 | |
47 | } | |
48 | } | |
49 | ||
50 | impl<M : ManifoldPoint> Desc<M> for DistToSquaredDiv2<M> { | |
51 | fn desc(&self, τ : f64, x : M) -> M { | |
52 | x.exp(&(self.grad(&x) * τ)) | |
53 | } | |
54 | } | |
55 | ||
56 | impl<M : ManifoldPoint> Grad<M> for DistToSquaredDiv2<M> { | |
57 | fn grad(&self, x : &M) -> M::Tangent { | |
58 | x.log(&self.base) | |
59 | } | |
60 | } |