src/dataterm.rs

branch
dev
changeset 32
56c8adc32b09
child 34
efa60bc4f743
equal deleted inserted replaced
30:bd13c2ae3450 32:56c8adc32b09
1 /*!
2 Basid definitions for data terms
3 */
4
5 use numeric_literals::replace_float_literals;
6
7 use alg_tools::loc::Loc;
8 use alg_tools::euclidean::Euclidean;
9 use alg_tools::linops::GEMV;
10 pub use alg_tools::norms::L1;
11 use alg_tools::norms::Norm;
12
13 use crate::types::*;
14 pub use crate::types::L2Squared;
15 use crate::measures::DiscreteMeasure;
16
17 /// Calculates the residual $Aμ-b$.
18 #[replace_float_literals(F::cast_from(literal))]
19 pub(crate) fn calculate_residual<
20 F : Float,
21 V : Euclidean<F> + Clone,
22 A : GEMV<F, DiscreteMeasure<Loc<F, N>, F>, Codomain = V>,
23 const N : usize
24 >(
25 μ : &DiscreteMeasure<Loc<F, N>, F>,
26 opA : &A,
27 b : &V
28 ) -> V {
29 let mut r = b.clone();
30 opA.gemv(&mut r, 1.0, μ, -1.0);
31 r
32 }
33
34 /// Calculates the residual $A(μ+μ_delta)-b$.
35 #[replace_float_literals(F::cast_from(literal))]
36 pub(crate) fn calculate_residual2<
37 F : Float,
38 V : Euclidean<F> + Clone,
39 A : GEMV<F, DiscreteMeasure<Loc<F, N>, F>, Codomain = V>,
40 const N : usize
41 >(
42 μ : &DiscreteMeasure<Loc<F, N>, F>,
43 μ_delta : &DiscreteMeasure<Loc<F, N>, F>,
44 opA : &A,
45 b : &V
46 ) -> V {
47 let mut r = b.clone();
48 opA.gemv(&mut r, 1.0, μ, -1.0);
49 opA.gemv(&mut r, 1.0, μ_delta, -1.0);
50 r
51 }
52
53
54 /// Trait for data terms
55 #[replace_float_literals(F::cast_from(literal))]
56 pub trait DataTerm<F : Float, V, const N : usize> {
57 /// Calculates $F(y)$, where $F$ is the data fidelity.
58 fn calculate_fit(&self, _residual : &V) -> F;
59
60 /// Calculates $F(Aμ-b)$, where $F$ is the data fidelity.
61 fn calculate_fit_op<A : GEMV<F, DiscreteMeasure<Loc<F, N>, F>, Codomain = V>>(
62 &self,
63 μ : &DiscreteMeasure<Loc<F, N>, F>,
64 opA : &A,
65 b : &V
66 ) -> F
67 where V : Euclidean<F> + Clone {
68 let r = calculate_residual(&μ, opA, b);
69 self.calculate_fit(&r)
70 }
71 }
72
73 impl<F : Float, V : Euclidean<F>, const N : usize>
74 DataTerm<F, V, N>
75 for L2Squared {
76 fn calculate_fit(&self, residual : &V) -> F {
77 residual.norm2_squared_div2()
78 }
79 }
80
81
82 impl<F : Float, V : Euclidean<F> + Norm<F, L1>, const N : usize>
83 DataTerm<F, V, N>
84 for L1 {
85 fn calculate_fit(&self, residual : &V) -> F {
86 residual.norm(L1)
87 }
88 }

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