ndarray/impl_views/
splitting.rs

1// Copyright 2014-2016 bluss and ndarray developers.
2//
3// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
4// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
5// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
6// option. This file may not be copied, modified, or distributed
7// except according to those terms.
8
9use crate::imp_prelude::*;
10use crate::slice::MultiSliceArg;
11use num_complex::Complex;
12
13/// Methods for read-only array views.
14impl<'a, A, D> ArrayView<'a, A, D>
15where D: Dimension
16{
17    /// Split the array view along `axis` and return one view strictly before the
18    /// split and one view after the split.
19    ///
20    /// **Panics** if `axis` or `index` is out of bounds.
21    ///
22    /// **Examples:**
23    /// ```rust
24    /// # use ndarray::prelude::*;
25    /// let a = aview2(&[[0, 1, 2, 3],
26    ///                  [4, 5, 6, 7],
27    ///                  [8, 9, 0, 1]]);
28    ///
29    /// ```
30    /// The array view `a` has two axes and shape 3 × 4:
31    /// ```text
32    ///          ──▶ Axis(1)
33    ///         ┌─────┬─────┬─────┬─────┐ 0
34    ///       │ │ a₀₀ │ a₀₁ │ a₀₂ │ a₀₃ │
35    ///       ▼ ├─────┼─────┼─────┼─────┤ 1
36    ///  Axis(0)│ a₁₀ │ a₁₁ │ a₁₂ │ a₁₃ │
37    ///         ├─────┼─────┼─────┼─────┤ 2
38    ///         │ a₂₀ │ a₂₁ │ a₂₂ │ a₂₃ │
39    ///         └─────┴─────┴─────┴─────┘ 3 ↑
40    ///         0     1     2     3     4 ← possible split_at indices.
41    /// ```
42    ///
43    /// Row indices increase along `Axis(0)`, and column indices increase along
44    /// `Axis(1)`. Note that we split “before” an element index, and that
45    /// both 0 and the endpoint are valid split indices.
46    ///
47    /// **Example 1**: Split `a` along the first axis, in this case the rows, at
48    /// index 2.<br>
49    /// This produces views v1 and v2 of shapes 2 × 4 and 1 × 4:
50    ///
51    /// ```rust
52    /// # use ndarray::prelude::*;
53    /// # let a = aview2(&[[0; 4]; 3]);
54    /// let (v1, v2) = a.split_at(Axis(0), 2);
55    /// ```
56    /// ```text
57    ///         ┌─────┬─────┬─────┬─────┐       0  ↓ indices
58    ///         │ a₀₀ │ a₀₁ │ a₀₂ │ a₀₃ │            along Axis(0)
59    ///         ├─────┼─────┼─────┼─────┤ v1    1
60    ///         │ a₁₀ │ a₁₁ │ a₁₂ │ a₁₃ │
61    ///         └─────┴─────┴─────┴─────┘
62    ///         ┄┄┄┄┄┄┄┄┄┄┄┄┄┄┄┄┄┄┄┄┄┄┄┄┄       2
63    ///         ┌─────┬─────┬─────┬─────┐
64    ///         │ a₂₀ │ a₂₁ │ a₂₂ │ a₂₃ │ v2
65    ///         └─────┴─────┴─────┴─────┘       3
66    /// ```
67    ///
68    /// **Example 2**: Split `a` along the second axis, in this case the
69    /// columns, at index 2.<br>
70    /// This produces views u1 and u2 of shapes 3 × 2 and 3 × 2:
71    ///
72    /// ```rust
73    /// # use ndarray::prelude::*;
74    /// # let a = aview2(&[[0; 4]; 3]);
75    /// let (u1, u2) = a.split_at(Axis(1), 2);
76    ///
77    /// ```
78    /// ```text
79    ///              u1             u2
80    ///         ┌─────┬─────┐┊┌─────┬─────┐
81    ///         │ a₀₀ │ a₀₁ │┊│ a₀₂ │ a₀₃ │
82    ///         ├─────┼─────┤┊├─────┼─────┤
83    ///         │ a₁₀ │ a₁₁ │┊│ a₁₂ │ a₁₃ │
84    ///         ├─────┼─────┤┊├─────┼─────┤
85    ///         │ a₂₀ │ a₂₁ │┊│ a₂₂ │ a₂₃ │
86    ///         └─────┴─────┘┊└─────┴─────┘
87    ///         0     1      2      3     4  indices →
88    ///                                      along Axis(1)
89    /// ```
90    #[track_caller]
91    #[inline]
92    pub fn split_at(self, axis: Axis, index: Ix) -> (Self, Self)
93    {
94        unsafe {
95            let (left, right) = self.into_raw_view().split_at(axis, index);
96            (left.deref_into_view(), right.deref_into_view())
97        }
98    }
99}
100
101impl<'a, T, D> ArrayView<'a, Complex<T>, D>
102where D: Dimension
103{
104    /// Splits the view into views of the real and imaginary components of the
105    /// elements.
106    ///
107    /// ```
108    /// use ndarray::prelude::*;
109    /// use num_complex::{Complex, Complex64};
110    ///
111    /// let arr = array![
112    ///     [Complex64::new(1., 2.), Complex64::new(3., 4.)],
113    ///     [Complex64::new(5., 6.), Complex64::new(7., 8.)],
114    ///     [Complex64::new(9., 10.), Complex64::new(11., 12.)],
115    /// ];
116    /// let Complex { re, im } = arr.view().split_complex();
117    /// assert_eq!(re, array![[1., 3.], [5., 7.], [9., 11.]]);
118    /// assert_eq!(im, array![[2., 4.], [6., 8.], [10., 12.]]);
119    /// ```
120    pub fn split_complex(self) -> Complex<ArrayView<'a, T, D>>
121    {
122        unsafe {
123            let Complex { re, im } = self.into_raw_view().split_complex();
124            Complex {
125                re: re.deref_into_view(),
126                im: im.deref_into_view(),
127            }
128        }
129    }
130}
131
132/// Methods for read-write array views.
133impl<'a, A, D> ArrayViewMut<'a, A, D>
134where D: Dimension
135{
136    /// Split the array view along `axis` and return one mutable view strictly
137    /// before the split and one mutable view after the split.
138    ///
139    /// **Panics** if `axis` or `index` is out of bounds.
140    #[track_caller]
141    #[inline]
142    pub fn split_at(self, axis: Axis, index: Ix) -> (Self, Self)
143    {
144        unsafe {
145            let (left, right) = self.into_raw_view_mut().split_at(axis, index);
146            (left.deref_into_view_mut(), right.deref_into_view_mut())
147        }
148    }
149
150    /// Split the view into multiple disjoint slices.
151    ///
152    /// This is similar to [`.multi_slice_mut()`], but `.multi_slice_move()`
153    /// consumes `self` and produces views with lifetimes matching that of
154    /// `self`.
155    ///
156    /// See [*Slicing*](#slicing) for full documentation. See also
157    /// [`MultiSliceArg`], [`s!`], [`SliceArg`](crate::SliceArg), and
158    /// [`SliceInfo`](crate::SliceInfo).
159    ///
160    /// [`.multi_slice_mut()`]: ArrayBase::multi_slice_mut
161    ///
162    /// **Panics** if any of the following occur:
163    ///
164    /// * if any of the views would intersect (i.e. if any element would appear in multiple slices)
165    /// * if an index is out of bounds or step size is zero
166    /// * if `D` is `IxDyn` and `info` does not match the number of array axes
167    #[track_caller]
168    pub fn multi_slice_move<M>(self, info: M) -> M::Output
169    where M: MultiSliceArg<'a, A, D>
170    {
171        info.multi_slice_move(self)
172    }
173}
174
175impl<'a, T, D> ArrayViewMut<'a, Complex<T>, D>
176where D: Dimension
177{
178    /// Splits the view into views of the real and imaginary components of the
179    /// elements.
180    ///
181    /// ```
182    /// use ndarray::prelude::*;
183    /// use num_complex::{Complex, Complex64};
184    ///
185    /// let mut arr = array![
186    ///     [Complex64::new(1., 2.), Complex64::new(3., 4.)],
187    ///     [Complex64::new(5., 6.), Complex64::new(7., 8.)],
188    ///     [Complex64::new(9., 10.), Complex64::new(11., 12.)],
189    /// ];
190    ///
191    /// let Complex { mut re, mut im } = arr.view_mut().split_complex();
192    /// assert_eq!(re, array![[1., 3.], [5., 7.], [9., 11.]]);
193    /// assert_eq!(im, array![[2., 4.], [6., 8.], [10., 12.]]);
194    ///
195    /// re[[0, 1]] = 13.;
196    /// im[[2, 0]] = 14.;
197    ///
198    /// assert_eq!(arr[[0, 1]], Complex64::new(13., 4.));
199    /// assert_eq!(arr[[2, 0]], Complex64::new(9., 14.));
200    /// ```
201    pub fn split_complex(self) -> Complex<ArrayViewMut<'a, T, D>>
202    {
203        unsafe {
204            let Complex { re, im } = self.into_raw_view_mut().split_complex();
205            Complex {
206                re: re.deref_into_view_mut(),
207                im: im.deref_into_view_mut(),
208            }
209        }
210    }
211}