@@ -5,76 +5,100 @@ pub mod traits;
55pub mod utils;
66
77#[ cfg( test) ]
8- pub mod verify_gradient {
9- use std:: fmt:: Debug ;
10-
11- use approx:: { assert_relative_eq, AbsDiffEq , RelativeEq } ;
12- use num_traits:: { real:: Real , NumAssignOps } ;
13-
14- use crate :: traits:: {
15- decompose:: Decompose ,
16- gradient_type:: { Gradient , GradientType } ,
17- } ;
18-
19- pub fn verify_gradient <
20- A : Clone + Debug + RelativeEq + Decompose < F > + GradientType ,
21- F : Real + NumAssignOps ,
22- > (
23- func : & impl Fn ( A ) -> F ,
24- grad : & impl Fn ( A ) -> Gradient < A > ,
25- epsilon : <Gradient < A > as AbsDiffEq >:: Epsilon ,
26- x : A ,
27- ) where
28- Gradient < A > : Debug + RelativeEq + Decompose < F > ,
29- <Gradient < A > as AbsDiffEq >:: Epsilon : From < f32 > ,
30- {
31- let real_gradient = grad ( x. clone ( ) ) ;
32- let numerical_gradient = numerical_grad ( func, x) ;
33-
34- assert_relative_eq ! ( real_gradient, numerical_gradient, epsilon = epsilon) ;
35- }
8+ pub mod test_utils {
9+ use std:: f32:: consts:: FRAC_PI_2 ;
10+
11+ use geometry:: { arc:: Arc , circle:: Circle , direction:: Direction , line_segment:: LineSegment } ;
12+ use linear_algebra:: { point, Orientation2 } ;
13+ use types:: planned_path:: PathSegment ;
3614
37- fn numerical_grad < A : Clone + Decompose < F > + GradientType , F : Real + NumAssignOps > (
38- func : & impl Fn ( A ) -> F ,
39- x : A ,
40- ) -> Gradient < A >
41- where
42- Gradient < A > : Decompose < F > ,
43- {
44- let decomposed = ( 0 ..A :: N )
45- . map ( |i| numerical_nth_derivative ( func, i, x. clone ( ) ) )
46- . collect ( ) ;
47-
48- Gradient :: < A > :: compose ( decomposed)
15+ pub fn test_path ( ) -> Vec < PathSegment > {
16+ vec ! [
17+ PathSegment :: LineSegment ( LineSegment ( point![ 0.0 , 0.0 ] , point![ 3.0 , 0.0 ] ) ) ,
18+ PathSegment :: Arc ( Arc {
19+ circle: Circle {
20+ center: point![ 3.0 , 1.0 ] ,
21+ radius: 1.0 ,
22+ } ,
23+ start: Orientation2 :: new( 3.0 * FRAC_PI_2 ) ,
24+ end: Orientation2 :: new( 0.0 ) ,
25+ direction: Direction :: Counterclockwise ,
26+ } ) ,
27+ PathSegment :: LineSegment ( LineSegment ( point![ 4.0 , 1.0 ] , point![ 4.0 , 4.0 ] ) ) ,
28+ ]
4929 }
5030
51- fn numerical_nth_derivative < A : Decompose < F > , F : Real + NumAssignOps > (
52- func : & impl Fn ( A ) -> F ,
53- n : usize ,
54- x : A ,
55- ) -> F {
56- let eps = F :: from ( 1e-5 ) . unwrap ( ) ;
31+ pub mod verify_gradient {
32+ use std:: fmt:: Debug ;
5733
58- let middle = x. decompose ( ) ;
59- let above = {
60- let mut above = middle. clone ( ) ;
61- above[ n] += eps;
34+ use approx:: { assert_relative_eq, AbsDiffEq , RelativeEq } ;
35+ use num_traits:: { real:: Real , NumAssignOps } ;
6236
63- A :: compose ( above)
37+ use crate :: traits:: {
38+ decompose:: Decompose ,
39+ gradient_type:: { Gradient , GradientType } ,
6440 } ;
65- let below = {
66- let mut below = middle. clone ( ) ;
67- below[ n] -= eps;
6841
69- A :: compose ( below)
70- } ;
42+ pub fn verify_gradient <
43+ A : Clone + Debug + Decompose < F > + GradientType ,
44+ F : Real + NumAssignOps ,
45+ > (
46+ func : & impl Fn ( A ) -> F ,
47+ grad : & impl Fn ( A ) -> Gradient < A > ,
48+ epsilon : <Gradient < A > as AbsDiffEq >:: Epsilon ,
49+ x : A ,
50+ ) where
51+ Gradient < A > : Debug + RelativeEq + Decompose < F > ,
52+ <Gradient < A > as AbsDiffEq >:: Epsilon : From < f32 > ,
53+ {
54+ let real_gradient = grad ( x. clone ( ) ) ;
55+ let numerical_gradient = numerical_grad ( func, x) ;
56+
57+ assert_relative_eq ! ( real_gradient, numerical_gradient, epsilon = epsilon) ;
58+ }
59+
60+ fn numerical_grad < A : Clone + Decompose < F > + GradientType , F : Real + NumAssignOps > (
61+ func : & impl Fn ( A ) -> F ,
62+ x : A ,
63+ ) -> Gradient < A >
64+ where
65+ Gradient < A > : Decompose < F > ,
66+ {
67+ let decomposed = ( 0 ..A :: N )
68+ . map ( |i| numerical_nth_derivative ( func, i, x. clone ( ) ) )
69+ . collect ( ) ;
70+
71+ Gradient :: < A > :: compose ( decomposed)
72+ }
73+
74+ fn numerical_nth_derivative < A : Decompose < F > , F : Real + NumAssignOps > (
75+ func : & impl Fn ( A ) -> F ,
76+ n : usize ,
77+ x : A ,
78+ ) -> F {
79+ let eps = F :: from ( 1e-4 ) . unwrap ( ) ;
80+
81+ let middle = x. decompose ( ) ;
82+ let above = {
83+ let mut above = middle. clone ( ) ;
84+ above[ n] += eps;
85+
86+ A :: compose ( above)
87+ } ;
88+ let below = {
89+ let mut below = middle. clone ( ) ;
90+ below[ n] -= eps;
91+
92+ A :: compose ( below)
93+ } ;
7194
72- let sample_above = func ( above) ;
73- let sample_below = func ( below) ;
95+ let sample_above = func ( above) ;
96+ let sample_below = func ( below) ;
7497
75- let difference = sample_above - sample_below;
76- let sample_distance = F :: from ( 2.0 ) . unwrap ( ) * eps;
98+ let difference = sample_above - sample_below;
99+ let sample_distance = F :: from ( 2.0 ) . unwrap ( ) * eps;
77100
78- difference / sample_distance
101+ difference / sample_distance
102+ }
79103 }
80104}
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