Sat, 14 Dec 2024 09:31:27 -0500
Convex analysis basics
5 | 1 | /*! |
2 | Utilities for mapping over various container types. | |
3 | */ | |
0 | 4 | |
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5 | #[cfg(feature = "nightly")] |
0 | 6 | use std::mem::MaybeUninit; |
7 | use itertools::izip; | |
8 | ||
5 | 9 | /// Trait for a fixed-length container type. |
10 | /// | |
11 | /// Implemented by [`Loc`][crate::loc::Loc] vectors, [`Cube`][crate::sets::Cube]s, | |
12 | /// and basic arrays. | |
0 | 13 | pub trait FixedLength<const N : usize> { |
5 | 14 | /// Type of elements of the container. |
0 | 15 | type Elem; |
5 | 16 | /// Type of iterators over the elements of the container. |
17 | type Iter : Iterator<Item = Self::Elem>; | |
18 | ||
19 | /// Returns an iteartor over the elements of the container. | |
0 | 20 | fn fl_iter(self) -> Self::Iter; |
21 | } | |
22 | ||
5 | 23 | /// Trait for a mutable fixed-length container type. |
0 | 24 | pub trait FixedLengthMut<const N : usize> : FixedLength<N> { |
5 | 25 | /// Type of iterators over references to mutable elements of the container. |
0 | 26 | type IterMut<'a> : Iterator<Item=&'a mut Self::Elem> where Self : 'a; |
5 | 27 | |
28 | /// Returns an iterator over mutable references to elements of the container. | |
0 | 29 | fn fl_iter_mut(&mut self) -> Self::IterMut<'_>; |
30 | } | |
31 | ||
32 | impl<A, const N : usize> FixedLength<N> for [A; N] { | |
33 | type Elem = A; | |
34 | type Iter = std::array::IntoIter<A, N>; | |
35 | #[inline] | |
36 | fn fl_iter(self) -> Self::Iter { | |
37 | self.into_iter() | |
38 | } | |
39 | } | |
40 | ||
41 | impl<A, const N : usize> FixedLengthMut<N> for [A; N] { | |
42 | type IterMut<'a> = std::slice::IterMut<'a, A> where A : 'a; | |
43 | #[inline] | |
44 | fn fl_iter_mut(&mut self) -> Self::IterMut<'_> { | |
45 | self.iter_mut() | |
46 | } | |
47 | } | |
48 | ||
49 | impl<'a, A, const N : usize> FixedLength<N> for &'a [A; N] { | |
50 | type Elem = &'a A; | |
51 | type Iter = std::slice::Iter<'a, A>; | |
52 | #[inline] | |
53 | fn fl_iter(self) -> Self::Iter { | |
54 | self.iter() | |
55 | } | |
56 | } | |
57 | ||
58 | macro_rules! tuple_or_singleton { | |
59 | ($a:ident,) => { $a }; | |
60 | ($($a:ident),+) => { ($($a),+) } | |
61 | } | |
62 | ||
63 | macro_rules! make_mapmany { | |
64 | ($name:ident, $name_indexed:ident, $var0:ident $($var:ident)* ; | |
65 | $etype0:ident $($etype:ident)*, $ctype0:ident $($ctype:ident)*) => { | |
5 | 66 | /// Map over [`FixedLength`] container(s), returning an array. |
0 | 67 | #[inline] |
68 | pub fn $name< | |
69 | $etype0, | |
70 | $($etype,)* | |
71 | $ctype0 : FixedLength<N,Elem=$etype0>, | |
72 | $($ctype : FixedLength<N,Elem=$etype>,)* | |
73 | Res, | |
74 | const N : usize | |
75 | >( | |
76 | $var0 : $ctype0, | |
77 | $($var : $ctype,)* | |
78 | f : impl Fn($etype0, $($etype),*) -> Res | |
79 | ) -> [Res; N] { | |
80 | let zipit = izip!($var0.fl_iter(), $($var.fl_iter()),*); | |
81 | let map = zipit.map(|tuple_or_singleton!($var0, $($var),*)| f($var0, $($var),*)); | |
82 | collect_into_array_unchecked(map) | |
83 | } | |
84 | ||
5 | 85 | /// Map over [`FixedLength`] containers(s) and element indices, returning an array. |
0 | 86 | #[inline] |
87 | pub fn $name_indexed< | |
88 | $etype0, | |
89 | $($etype,)* | |
90 | $ctype0 : FixedLength<N,Elem=$etype0>, | |
91 | $($ctype : FixedLength<N,Elem=$etype>,)* | |
92 | Res, | |
93 | const N : usize | |
94 | >( | |
95 | $var0 : $ctype0, | |
96 | $($var : $ctype,)* | |
97 | f : impl Fn(usize, $etype0, $($etype),*) -> Res | |
98 | ) -> [Res; N] { | |
99 | let zipit = (0..N).zip(izip!($var0.fl_iter(), $($var.fl_iter()),*)); | |
100 | let map = zipit.map(|(i, tuple_or_singleton!($var0, $($var),*))| f(i, $var0, $($var),*)); | |
101 | collect_into_array_unchecked(map) | |
102 | } | |
103 | } | |
104 | } | |
105 | ||
106 | make_mapmany!(map1, map1_indexed, a; A, CA); | |
107 | make_mapmany!(map2, map2_indexed, a b; A B, CA CB); | |
108 | make_mapmany!(map3, map3_indexed, a b c; A B C, CA CB CC); | |
109 | make_mapmany!(map4, map4_indexed, a b c d; A B C D, CA CB CC CD); | |
110 | make_mapmany!(map5, map5_indexed, a b c d e; A B C D E, CA CB CC CD CE); | |
111 | make_mapmany!(map6, map6_indexed, a b c d e f; A B C D E F, CA CB CC CD CE CF); | |
112 | ||
113 | macro_rules! make_mapmany_mut{ | |
114 | ($name:ident, $name_indexed:ident, $var0:ident $($var:ident)* ; | |
115 | $etype0:ident $($etype:ident)*, $ctype0:ident $($ctype:ident)*) => { | |
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116 | /// Map over [`FixedLength`] container(s) with mutable references to the first container. |
0 | 117 | #[inline] |
118 | pub fn $name< | |
119 | $etype0, | |
120 | $($etype,)* | |
121 | $ctype0 : FixedLengthMut<N,Elem=$etype0>, | |
122 | $($ctype : FixedLength<N,Elem=$etype>,)* | |
123 | const N : usize | |
124 | > ( | |
125 | $var0 : &mut $ctype0, | |
126 | $($var : $ctype,)* | |
127 | f : impl Fn(&mut $etype0, $($etype),*) | |
128 | ) { | |
129 | let zipit = izip!($var0.fl_iter_mut(), $($var.fl_iter()),*); | |
130 | zipit.for_each(|tuple_or_singleton!($var0, $($var),*)| f($var0, $($var),*)); | |
131 | } | |
132 | ||
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133 | /// Map over [`FixedLength`] container(s) and element indices |
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134 | /// with mutable references to the first container. |
0 | 135 | #[inline] |
136 | pub fn $name_indexed< | |
137 | $etype0, | |
138 | $($etype,)* | |
139 | $ctype0 : FixedLengthMut<N,Elem=$etype0>, | |
140 | $($ctype : FixedLength<N,Elem=$etype>,)* | |
141 | const N : usize | |
142 | > ( | |
143 | $var0 : &mut $ctype0, | |
144 | $($var : $ctype,)* | |
145 | f : impl Fn(usize, &mut $etype0, $($etype),*) | |
146 | ) { | |
147 | let zipit = (0..N).zip(izip!($var0.fl_iter_mut(), $($var.fl_iter()),*)); | |
148 | zipit.for_each(|(i, tuple_or_singleton!($var0, $($var),*))| f(i, $var0, $($var),*)); | |
149 | } | |
150 | } | |
151 | } | |
152 | ||
153 | make_mapmany_mut!(map1_mut, map1_indexed_mut, a; A, CA); | |
154 | make_mapmany_mut!(map2_mut, map2_indexed_mut, a b; A B, CA CB); | |
155 | make_mapmany_mut!(map3_mut, map3_indexed_mut, a b c; A B C, CA CB CC); | |
156 | make_mapmany_mut!(map4_mut, map4_indexed_mut, a b c d; A B C D, CA CB CC CD); | |
157 | make_mapmany_mut!(map5_mut, map5_indexed_mut, a b c d e; A B C D E, CA CB CC CD CE); | |
158 | make_mapmany_mut!(map6_mut, map6_indexed_mut, a b c d e f; A B C D E F, CA CB CC CD CE CF); | |
159 | ||
160 | ||
161 | /// Initialise an array of length `N` by calling `f` multiple times. | |
162 | #[inline] | |
163 | pub fn array_init<A, F : Fn() -> A, const N : usize>(f : F) -> [A; N] { | |
164 | //[(); N].map(|_| f()) | |
165 | core::array::from_fn(|_| f()) | |
166 | } | |
167 | ||
168 | // /// Initialise an array of length `N` by calling `f` with the index of each element. | |
169 | // #[inline] | |
170 | // pub fn array_gen<A, F : Fn(usize) -> A, const N : usize>(f : F) -> [A; N] { | |
171 | // //[(); N].indexmap(|i, _| f(i)) | |
172 | // core::array::from_fn(f) | |
173 | // } | |
174 | ||
175 | ||
5 | 176 | |
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177 | /// Iterator returned by [`foldmap`][FoldMappable::foldmap] applied to an iterator. |
5 | 178 | |
0 | 179 | pub struct FoldMap<I : Iterator<Item=A>, A, B, J : Copy, F : Fn(J, A) -> (J, B)> { |
180 | iter : I, | |
181 | f : F, | |
182 | j : J, | |
183 | } | |
184 | ||
185 | impl<A, B, I : Iterator<Item=A>, J : Copy, F : Fn(J, A) -> (J, B)> Iterator for FoldMap<I, A, B, J, F> { | |
186 | type Item = B; | |
187 | #[inline] | |
188 | fn next(&mut self) -> Option<B> { | |
189 | self.iter.next().map(|a| { | |
190 | let (jnew, b) = (self.f)(self.j, a); | |
191 | self.j = jnew; | |
192 | b | |
193 | }) | |
194 | } | |
195 | } | |
196 | ||
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197 | /// Iterator returned by [`indexmap`][IndexMappable::indexmap] applied to an iterator. |
0 | 198 | pub struct IndexMap<I : Iterator<Item=A>, A, B, F : Fn(usize, A) -> B> { |
199 | iter : I, | |
200 | f : F, | |
201 | j : usize, | |
202 | } | |
203 | ||
204 | impl<A, B, I : Iterator<Item=A>, F : Fn(usize, A) -> B> Iterator for IndexMap<I, A, B, F> { | |
205 | type Item = B; | |
206 | #[inline] | |
207 | fn next(&mut self) -> Option<B> { | |
208 | self.iter.next().map(|a| { | |
209 | let b = (self.f)(self.j, a); | |
210 | self.j = self.j+1; | |
211 | b | |
212 | }) | |
213 | } | |
214 | } | |
215 | ||
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216 | /// Trait for things that can be foldmapped. |
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217 | /// |
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218 | /// `A` is the type of elements of `Self`, and `J` the accumulator type for the folding. |
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219 | pub trait FoldMappable<A, J> : Sized { |
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220 | type Output<B, F> where F : Fn(J, A) -> (J, B); |
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221 | /// Fold and map over `self` with `f`. `j` is the initial accumulator for folding. |
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222 | /// |
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223 | /// The output type depends on the implementation, but will generally have elements of |
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224 | /// type `B`. |
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225 | fn foldmap<B, F : Fn(J, A) -> (J, B)>(self, j : J, f : F) -> Self::Output<B, F>; |
0 | 226 | } |
227 | ||
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228 | /// Trait for things that can be indexmapped. |
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229 | /// |
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230 | /// `A` is the type of elements of `Self`. |
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231 | pub trait IndexMappable<A> : Sized { |
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232 | type Output<B, F> where F : Fn(usize, A) -> B; |
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233 | /// Map over element indices and elements of `self`. |
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234 | /// |
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235 | /// The output type depends on the implementation, but will generally have elements of |
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236 | /// type `B`. |
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237 | fn indexmap<B, F : Fn(usize, A) -> B>(self, f : F) -> Self::Output<B, F>; |
0 | 238 | } |
239 | ||
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240 | impl<'a, A, J : Copy> FoldMappable<&'a A, J> |
0 | 241 | for std::slice::Iter<'a, A> { |
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242 | type Output<B, F> = FoldMap<Self, &'a A, B, J, F> where F : Fn(J, &'a A) -> (J, B); |
0 | 243 | #[inline] |
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244 | fn foldmap<B, F : Fn(J, &'a A) -> (J, B)>(self, j : J, f : F) -> Self::Output<B, F> { |
0 | 245 | FoldMap { iter : self, j, f } |
246 | } | |
247 | } | |
248 | ||
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249 | impl<'a, A> IndexMappable<&'a A> |
0 | 250 | for std::slice::Iter<'a, A> { |
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251 | type Output<B, F> = IndexMap<Self, &'a A, B, F> where F : Fn(usize, &'a A) -> B; |
0 | 252 | #[inline] |
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253 | fn indexmap<B, F : Fn(usize, &'a A) -> B>(self, f : F) -> Self::Output<B, F> { |
0 | 254 | IndexMap { iter : self, j : 0, f } |
255 | } | |
256 | } | |
257 | ||
258 | ||
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259 | impl<A, J : Copy, const N : usize> FoldMappable<A, J> |
0 | 260 | for std::array::IntoIter<A, N> { |
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261 | type Output<B, F> = FoldMap<Self, A, B, J, F> where F : Fn(J, A) -> (J, B); |
0 | 262 | #[inline] |
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263 | fn foldmap<B, F : Fn(J, A) -> (J, B)>(self, j : J, f : F) -> Self::Output<B, F> { |
0 | 264 | FoldMap { iter : self, j, f } |
265 | } | |
266 | } | |
267 | ||
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268 | impl<'a, A, const N : usize> IndexMappable<A> |
0 | 269 | for std::array::IntoIter<A, N> { |
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270 | type Output<B, F> = IndexMap<Self, A, B, F> where F : Fn(usize, A) -> B; |
0 | 271 | #[inline] |
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272 | fn indexmap<B, F : Fn(usize, A) -> B>(self, f : F) -> Self::Output<B, F> { |
0 | 273 | IndexMap { iter : self, j : 0, f } |
274 | } | |
275 | } | |
276 | ||
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277 | impl<A, J : Copy, const N : usize> FoldMappable<A, J> for [A; N] { |
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278 | type Output<B, F> = [B; N] where F : Fn(J, A) -> (J, B); |
0 | 279 | #[inline] |
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280 | fn foldmap<B, F : Fn(J, A) -> (J, B)>(self, j : J, f : F) -> [B; N] { |
0 | 281 | // //let mut res : [MaybeUninit<B>; N] = unsafe { MaybeUninit::uninit().assume_init() }; |
282 | // let mut res = MaybeUninit::uninit_array::<N>(); | |
283 | // for (a, i) in self.into_iter().zip(0..N) { | |
284 | // let (jnew, b) = f(j, a); | |
285 | // unsafe { *(res.get_unchecked_mut(i)) = MaybeUninit::new(b) }; | |
286 | // j = jnew; | |
287 | // } | |
288 | // //unsafe { res.as_mut_ptr().cast::<[B; N]>().read() } | |
289 | // unsafe { MaybeUninit::array_assume_init(res) } | |
290 | let it = self.into_iter().foldmap(j, f); | |
291 | collect_into_array_unchecked(it) | |
292 | } | |
293 | } | |
294 | ||
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295 | impl<A, const N : usize> IndexMappable<A> for [A; N] { |
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296 | type Output<B, F> = [B; N] where F : Fn(usize, A) -> B; |
0 | 297 | #[inline] |
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298 | fn indexmap<B, F : Fn(usize, A) -> B>(self, f : F) -> [B; N] { |
0 | 299 | // //let mut res : [MaybeUninit<B>; N] = unsafe { MaybeUninit::uninit().assume_init() }; |
300 | // let mut res = MaybeUninit::uninit_array::<N>(); | |
301 | // for (a, i) in self.into_iter().zip(0..N) { | |
302 | // let b = f(i, a); | |
303 | // unsafe { *(res.get_unchecked_mut(i)) = MaybeUninit::new(b) }; | |
304 | // } | |
305 | // //unsafe { res.as_mut_ptr().cast::<[B; N]>().read() } | |
306 | // unsafe { MaybeUninit::array_assume_init(res) } | |
307 | let it = self.into_iter().indexmap(f); | |
308 | collect_into_array_unchecked(it) | |
309 | } | |
310 | } | |
311 | ||
312 | /// This is taken and simplified from core::array to not involve `ControlFlow`, | |
313 | /// `Try` etc. (Pulling everything including `NeverShortCircuit` turned out | |
314 | /// too much to maintain here.) | |
315 | /// | |
316 | /// Pulls `N` items from `iter` and returns them as an array. If the iterator | |
317 | /// yields fewer than `N` items, `None` is returned and all already yielded | |
318 | /// items are dropped. | |
319 | /// | |
320 | /// Since the iterator is passed as a mutable reference and this function calls | |
321 | /// `next` at most `N` times, the iterator can still be used afterwards to | |
322 | /// retrieve the remaining items. | |
323 | /// | |
324 | /// If `iter.next()` panicks, all items already yielded by the iterator are | |
325 | /// dropped. | |
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326 | #[cfg(feature = "nightly")] |
0 | 327 | #[inline] |
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328 | pub(crate) fn collect_into_array_unchecked< |
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329 | T, |
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330 | I : Iterator<Item=T>, |
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331 | const N: usize |
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332 | >(mut iter: I) -> [T; N] |
0 | 333 | { |
334 | if N == 0 { | |
335 | // SAFETY: An empty array is always inhabited and has no validity invariants. | |
336 | return unsafe { core::mem::zeroed() }; | |
337 | } | |
338 | ||
339 | struct Guard<'a, T, const N: usize> { | |
340 | array_mut: &'a mut [MaybeUninit<T>; N], | |
341 | initialized: usize, | |
342 | } | |
343 | ||
344 | impl<T, const N: usize> Drop for Guard<'_, T, N> { | |
345 | #[inline] | |
346 | fn drop(&mut self) { | |
347 | debug_assert!(self.initialized <= N); | |
348 | ||
349 | // SAFETY: this slice will contain only initialized objects. | |
350 | unsafe { | |
351 | core::ptr::drop_in_place(MaybeUninit::slice_assume_init_mut( | |
352 | &mut self.array_mut.get_unchecked_mut(..self.initialized), | |
353 | )); | |
354 | } | |
355 | } | |
356 | } | |
357 | ||
358 | let mut array = MaybeUninit::uninit_array::<N>(); | |
359 | let mut guard = Guard { array_mut: &mut array, initialized: 0 }; | |
360 | ||
361 | while let Some(item) = iter.next() { | |
362 | // SAFETY: `guard.initialized` starts at 0, is increased by one in the | |
363 | // loop and the loop is aborted once it reaches N (which is | |
364 | // `array.len()`). | |
365 | unsafe { | |
366 | guard.array_mut.get_unchecked_mut(guard.initialized).write(item); | |
367 | } | |
368 | guard.initialized += 1; | |
369 | ||
370 | // Check if the whole array was initialized. | |
371 | if guard.initialized == N { | |
372 | core::mem::forget(guard); | |
373 | ||
374 | // SAFETY: the condition above asserts that all elements are | |
375 | // initialized. | |
376 | let out = unsafe { MaybeUninit::array_assume_init(array) }; | |
377 | return out; | |
378 | } | |
379 | } | |
380 | ||
381 | unreachable!("Something went wrong with iterator length") | |
382 | } | |
383 | ||
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384 | #[cfg(not(feature = "nightly"))] |
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385 | #[inline] |
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386 | pub(crate) fn collect_into_array_unchecked< |
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387 | T, |
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388 | I : Iterator<Item=T>, |
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389 | const N: usize |
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390 | >(iter: I) -> [T; N] |
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391 | { |
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392 | match iter.collect::<Vec<T>>().try_into() { |
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393 | Ok(a) => a, |
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394 | Err(_) => panic!("collect_into_array failure: should not happen"), |
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395 | } |
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396 | } |
0 | 397 | |
398 | #[cfg(test)] | |
399 | mod tests { | |
400 | use super::*; | |
401 | ||
402 | #[test] | |
403 | fn mapx_test() { | |
404 | let a = [0,1,2]; | |
405 | let mut b = [2,1,0]; | |
406 | assert_eq!(map1(a, |x| x+1), [1,2,3]); | |
407 | assert_eq!(map2(a, b, |x, y| x+y), [2,2,2]); | |
408 | assert_eq!(map1_indexed(a, |i, y| y-i), [0,0,0]); | |
409 | map1_indexed_mut(&mut b, |i, y| *y=i); | |
410 | assert_eq!(b, a); | |
411 | } | |
412 | } |