Struct ndarray::ArrayBase

source ·
pub struct ArrayBase<S, D>where
    S: Data,
{ /* private fields */ }
Expand description

An n-dimensional array.

The array is a general container of elements. It cannot grow or shrink, but can be sliced into subsets of its data. The array supports arithmetic operations by applying them elementwise.

In n-dimensional we include for example 1-dimensional rows or columns, 2-dimensional matrices, and higher dimensional arrays. If the array has n dimensions, then an element is accessed by using that many indices.

The ArrayBase<S, D> is parameterized by S for the data container and D for the dimensionality.

Type aliases Array, ArcArray, ArrayView, and ArrayViewMut refer to ArrayBase with different types for the data container.

Contents

Array

Array is an owned array that owns the underlying array elements directly (just like a Vec) and it is the default way to create and store n-dimensional data. Array<A, D> has two type parameters: A for the element type, and D for the dimensionality. A particular dimensionality’s type alias like Array3<A> just has the type parameter A for element type.

An example:

// Create a three-dimensional f64 array, initialized with zeros
use ndarray::Array3;
let mut temperature = Array3::<f64>::zeros((3, 4, 5));
// Increase the temperature in this location
temperature[[2, 2, 2]] += 0.5;

ArcArray

ArcArray is an owned array with reference counted data (shared ownership). Sharing requires that it uses copy-on-write for mutable operations. Calling a method for mutating elements on ArcArray, for example view_mut() or get_mut(), will break sharing and require a clone of the data (if it is not uniquely held).

Array Views

ArrayView and ArrayViewMut are read-only and read-write array views respectively. They use dimensionality, indexing, and almost all other methods the same was as the other array types.

Methods for ArrayBase apply to array views too, when the trait bounds allow.

Please see the documentation for the respective array view for an overview of methods specific to array views: ArrayView, ArrayViewMut.

A view is created from an array using .view(), .view_mut(), using slicing (.slice(), .slice_mut()) or from one of the many iterators that yield array views.

You can also create an array view from a regular slice of data not allocated with Array — see array view methods or their From impls.

Note that all ArrayBase variants can change their view (slicing) of the data freely, even when their data can’t be mutated.

Indexing and Dimension

The dimensionality of the array determines the number of axes, for example a 2D array has two axes. These are listed in “big endian” order, so that the greatest dimension is listed first, the lowest dimension with the most rapidly varying index is the last.

In a 2D array the index of each element is [row, column] as seen in this 4 × 3 example:

[[ [0, 0], [0, 1], [0, 2] ],  // row 0
 [ [1, 0], [1, 1], [1, 2] ],  // row 1
 [ [2, 0], [2, 1], [2, 2] ],  // row 2
 [ [3, 0], [3, 1], [3, 2] ]]  // row 3
//    \       \       \
//   column 0  \     column 2
//            column 1

The number of axes for an array is fixed by its D type parameter: Ix1 for a 1D array, Ix2 for a 2D array etc. The dimension type IxDyn allows a dynamic number of axes.

A fixed size array ([usize; N]) of the corresponding dimensionality is used to index the Array, making the syntax array[[ i, j, …]]

use ndarray::Array2;
let mut array = Array2::zeros((4, 3));
array[[1, 1]] = 7;

Important traits and types for dimension and indexing:

  • A Dim value represents a dimensionality or index.
  • Trait Dimension is implemented by all dimensionalities. It defines many operations for dimensions and indices.
  • Trait IntoDimension is used to convert into a Dim value.
  • Trait ShapeBuilder is an extension of IntoDimension and is used when constructing an array. A shape describes not just the extent of each axis but also their strides.
  • Trait NdIndex is an extension of Dimension and is for values that can be used with indexing syntax.

The default memory order of an array is row major order (a.k.a “c” order), where each row is contiguous in memory. A column major (a.k.a. “f” or fortran) memory order array has columns (or, in general, the outermost axis) with contiguous elements.

The logical order of any array’s elements is the row major order (the rightmost index is varying the fastest). The iterators .iter(), .iter_mut() always adhere to this order, for example.

Loops, Producers and Iterators

Using Zip is the most general way to apply a procedure across one or several arrays or producers.

NdProducer is like an iterable but for multidimensional data. All producers have dimensions and axes, like an array view, and they can be split and used with parallelization using Zip.

For example, ArrayView<A, D> is a producer, it has the same dimensions as the array view and for each iteration it produces a reference to the array element (&A in this case).

Another example, if we have a 10 × 10 array and use .exact_chunks((2, 2)) we get a producer of chunks which has the dimensions 5 × 5 (because there are 10 / 2 = 5 chunks in either direction). The 5 × 5 chunks producer can be paired with any other producers of the same dimension with Zip, for example 5 × 5 arrays.

.iter() and .iter_mut()

These are the element iterators of arrays and they produce an element sequence in the logical order of the array, that means that the elements will be visited in the sequence that corresponds to increasing the last index first: 0, …, 0, 0; 0, …, 0, 1; 0, …0, 2 and so on.

.outer_iter() and .axis_iter()

These iterators produce array views of one smaller dimension.

For example, for a 2D array, .outer_iter() will produce the 1D rows. For a 3D array, .outer_iter() produces 2D subviews.

.axis_iter() is like outer_iter() but allows you to pick which axis to traverse.

The outer_iter and axis_iter are one dimensional producers.

.genrows(), .gencolumns() and .lanes()

.genrows() is a producer (and iterable) of all rows in an array.

use ndarray::Array;

// 1. Loop over the rows of a 2D array
let mut a = Array::zeros((10, 10));
for mut row in a.genrows_mut() {
    row.fill(1.);
}

// 2. Use Zip to pair each row in 2D `a` with elements in 1D `b`
use ndarray::Zip;
let mut b = Array::zeros(a.rows());

Zip::from(a.genrows())
    .and(&mut b)
    .apply(|a_row, b_elt| {
        *b_elt = a_row[a.cols() - 1] - a_row[0];
    });

The lanes of an array are 1D segments along an axis and when pointed along the last axis they are rows, when pointed along the first axis they are columns.

A m × n array has m rows each of length n and conversely n columns each of length m.

To generalize this, we say that an array of dimension a × m × n has a m rows. It’s composed of a times the previous array, so it has a times as many rows.

All methods: .genrows(), .genrows_mut(), .gencolumns(), .gencolumns_mut(), .lanes(axis), .lanes_mut(axis).

Yes, for 2D arrays .genrows() and .outer_iter() have about the same effect:

  • genrows() is a producer with n - 1 dimensions of 1 dimensional items
  • outer_iter() is a producer with 1 dimension of n - 1 dimensional items

Slicing

You can use slicing to create a view of a subset of the data in the array. Slicing methods include .slice(), .slice_mut(), .slice_move(), and .slice_collapse().

The slicing argument can be passed using the macro s![], which will be used in all examples. (The explicit form is an instance of &SliceInfo; see its docs for more information.)

If a range is used, the axis is preserved. If an index is used, that index is selected and the axis is removed; this selects a subview. See Subviews for more information about subviews. Note that .slice_collapse() behaves like .collapse_axis() by preserving the number of dimensions.

// import the s![] macro
#[macro_use(s)]
extern crate ndarray;

use ndarray::{arr2, arr3};

fn main() {

// 2 submatrices of 2 rows with 3 elements per row, means a shape of `[2, 2, 3]`.

let a = arr3(&[[[ 1,  2,  3],     // -- 2 rows  \_
                [ 4,  5,  6]],    // --         /
               [[ 7,  8,  9],     //            \_ 2 submatrices
                [10, 11, 12]]]);  //            /
//  3 columns ..../.../.../

assert_eq!(a.shape(), &[2, 2, 3]);

// Let’s create a slice with
//
// - Both of the submatrices of the greatest dimension: `..`
// - Only the first row in each submatrix: `0..1`
// - Every element in each row: `..`

let b = a.slice(s![.., 0..1, ..]);
let c = arr3(&[[[ 1,  2,  3]],
               [[ 7,  8,  9]]]);
assert_eq!(b, c);
assert_eq!(b.shape(), &[2, 1, 3]);

// Let’s create a slice with
//
// - Both submatrices of the greatest dimension: `..`
// - The last row in each submatrix: `-1..`
// - Row elements in reverse order: `..;-1`
let d = a.slice(s![.., -1.., ..;-1]);
let e = arr3(&[[[ 6,  5,  4]],
               [[12, 11, 10]]]);
assert_eq!(d, e);
assert_eq!(d.shape(), &[2, 1, 3]);

// Let’s create a slice while selecting a subview with
//
// - Both submatrices of the greatest dimension: `..`
// - The last row in each submatrix, removing that axis: `-1`
// - Row elements in reverse order: `..;-1`
let f = a.slice(s![.., -1, ..;-1]);
let g = arr2(&[[ 6,  5,  4],
               [12, 11, 10]]);
assert_eq!(f, g);
assert_eq!(f.shape(), &[2, 3]);
}

Subviews

Subview methods allow you to restrict the array view while removing one axis from the array. Methods for selecting individual subviews include .index_axis(), .index_axis_mut(), .index_axis_move(), and .index_axis_inplace(). You can also select a subview by using a single index instead of a range when slicing. Some other methods, such as .fold_axis(), .axis_iter(), .axis_iter_mut(), .outer_iter(), and .outer_iter_mut() operate on all the subviews along an axis.

A related method is .collapse_axis(), which modifies the view in the same way as .index_axis() except for removing the collapsed axis, since it operates in place. The length of the axis becomes 1.

Methods for selecting an individual subview take two arguments: axis and index.

#[macro_use(s)] extern crate ndarray;

use ndarray::{arr3, aview1, aview2, Axis};


// 2 submatrices of 2 rows with 3 elements per row, means a shape of `[2, 2, 3]`.

let a = arr3(&[[[ 1,  2,  3],    // \ axis 0, submatrix 0
                [ 4,  5,  6]],   // /
               [[ 7,  8,  9],    // \ axis 0, submatrix 1
                [10, 11, 12]]]); // /
        //        \
        //         axis 2, column 0

assert_eq!(a.shape(), &[2, 2, 3]);

// Let’s take a subview along the greatest dimension (axis 0),
// taking submatrix 0, then submatrix 1

let sub_0 = a.index_axis(Axis(0), 0);
let sub_1 = a.index_axis(Axis(0), 1);

assert_eq!(sub_0, aview2(&[[ 1,  2,  3],
                           [ 4,  5,  6]]));
assert_eq!(sub_1, aview2(&[[ 7,  8,  9],
                           [10, 11, 12]]));
assert_eq!(sub_0.shape(), &[2, 3]);

// This is the subview picking only axis 2, column 0
let sub_col = a.index_axis(Axis(2), 0);

assert_eq!(sub_col, aview2(&[[ 1,  4],
                             [ 7, 10]]));

// You can take multiple subviews at once (and slice at the same time)
let double_sub = a.slice(s![1, .., 0]);
assert_eq!(double_sub, aview1(&[7, 10]));

Arithmetic Operations

Arrays support all arithmetic operations the same way: they apply elementwise.

Since the trait implementations are hard to overview, here is a summary.

Binary Operators with Two Arrays

Let A be an array or view of any kind. Let B be an array with owned storage (either Array or ArcArray). Let C be an array with mutable data (either Array, ArcArray or ArrayViewMut). The following combinations of operands are supported for an arbitrary binary operator denoted by @ (it can be +, -, *, / and so on).

  • &A @ &A which produces a new Array
  • B @ A which consumes B, updates it with the result, and returns it
  • B @ &A which consumes B, updates it with the result, and returns it
  • C @= &A which performs an arithmetic operation in place

Binary Operators with Array and Scalar

The trait ScalarOperand marks types that can be used in arithmetic with arrays directly. For a scalar K the following combinations of operands are supported (scalar can be on either the left or right side, but ScalarOperand docs has the detailed condtions).

  • &A @ K or K @ &A which produces a new Array
  • B @ K or K @ B which consumes B, updates it with the result and returns it
  • C @= K which performs an arithmetic operation in place

Unary Operators

Let A be an array or view of any kind. Let B be an array with owned storage (either Array or ArcArray). The following operands are supported for an arbitrary unary operator denoted by @ (it can be - or !).

  • @&A which produces a new Array
  • @B which consumes B, updates it with the result, and returns it

Broadcasting

Arrays support limited broadcasting, where arithmetic operations with array operands of different sizes can be carried out by repeating the elements of the smaller dimension array. See .broadcast() for a more detailed description.

use ndarray::arr2;

let a = arr2(&[[1., 1.],
               [1., 2.],
               [0., 3.],
               [0., 4.]]);

let b = arr2(&[[0., 1.]]);

let c = arr2(&[[1., 2.],
               [1., 3.],
               [0., 4.],
               [0., 5.]]);
// We can add because the shapes are compatible even if not equal.
// The `b` array is shape 1 × 2 but acts like a 4 × 2 array.
assert!(
    c == a + b
);

Conversions

Conversions Between Array Types

This table is a summary of the conversions between arrays of different ownership, dimensionality, and element type. All of the conversions in this table preserve the shape of the array.

Output Input

Array<A, D>

ArcArray<A, D>

ArrayView<'a, A, D>

ArrayViewMut<'a, A, D>

Array<A, D>

no-op

a.into_owned()

a.to_owned()

a.to_owned()

ArcArray<A, D>

a.into_shared()

no-op

a.to_owned().into_shared()

a.to_owned().into_shared()

ArrayView<'b, A, D>

a.view()

a.view()

a.view() or a.reborrow()

a.view()

ArrayViewMut<'b, A, D>

a.view_mut()

a.view_mut()

illegal

a.view_mut() or a.reborrow()

equivalent with dim D2 (e.g. converting from dynamic dim to const dim)

a.into_dimensionality::<D2>()

equivalent with dim IxDyn

a.into_dyn()

Array<B, D> (new element type)

a.map(|x| x.do_your_conversion())

Conversions Between Arrays and Vecs/Slices/Scalars

This is a table of the safe conversions between arrays and Vecs/slices/scalars. Note that some of the return values are actually Result/Option wrappers around the indicated output types.

InputOutputMethods
Vec<A>ArrayBase<S: DataOwned, Ix1>::from_vec()
Vec<A>ArrayBase<S: DataOwned, D>::from_shape_vec()
&[A]ArrayView1<A>::from()
&[A]ArrayView<A, D>::from_shape()
&mut [A]ArrayViewMut1<A>::from()
&mut [A]ArrayViewMut<A, D>::from_shape()
&ArrayBase<S, Ix1>Vec<A>.to_vec()
Array<A, D>Vec<A>.into_raw_vec()1
&ArrayBase<S, D>&[A].as_slice()2, .as_slice_memory_order()3
&mut ArrayBase<S: DataMut, D>&mut [A].as_slice_mut()2, .as_slice_memory_order_mut()3
ArrayView<A, D>&[A].into_slice()
ArrayViewMut<A, D>&mut [A].into_slice()
Array0<A>A.into_scalar()

1Returns the data in memory order.

2Works only if the array is contiguous and in standard order.

3Works only if the array is contiguous.

The table above does not include all the constructors; it only shows conversions to/from Vecs/slices. See below for more constructors.

Implementations§

Constructor Methods for Owned Arrays

Note that the constructor methods apply to Array and ArcArray, the two array types that have owned storage.

Constructor methods for one-dimensional arrays.

Create a one-dimensional array from a vector (no copying needed).

Panics if the length is greater than isize::MAX.

use ndarray::Array;

let array = Array::from_vec(vec![1., 2., 3., 4.]);

Create a one-dimensional array from an iterable.

Panics if the length is greater than isize::MAX.

use ndarray::{Array, arr1};

let array = Array::from_iter((0..5).map(|x| x * x));
assert!(array == arr1(&[0, 1, 4, 9, 16]))

Create a one-dimensional array from the inclusive interval [start, end] with n elements. A must be a floating point type.

Panics if n is greater than isize::MAX.

use ndarray::{Array, arr1};

let array = Array::linspace(0., 1., 5);
assert!(array == arr1(&[0.0, 0.25, 0.5, 0.75, 1.0]))

Create a one-dimensional array from the half-open interval [start, end) with elements spaced by step. A must be a floating point type.

Panics if the length is greater than isize::MAX.

use ndarray::{Array, arr1};

let array = Array::range(0., 5., 1.);
assert!(array == arr1(&[0., 1., 2., 3., 4.]))

Create an identity matrix of size n (square 2D array).

Panics if n * n would overflow isize.

Constructor methods for n-dimensional arrays.

The shape argument can be an integer or a tuple of integers to specify a static size. For example 10 makes a length 10 one-dimensional array (dimension type Ix1) and (5, 6) a 5 × 6 array (dimension type Ix2).

With the trait ShapeBuilder in scope, there is the method .f() to select column major (“f” order) memory layout instead of the default row major. For example Array::zeros((5, 6).f()) makes a column major 5 × 6 array.

Use IxDyn for the shape to create an array with dynamic number of axes.

Finally, the few constructors that take a completely general Into<StrideShape> argument optionally support custom strides, for example a shape given like (10, 2, 2).strides((1, 10, 20)) is valid.

Create an array with copies of elem, shape shape.

Panics if the product of non-zero axis lengths overflows isize.

use ndarray::{Array, arr3, ShapeBuilder};

let a = Array::from_elem((2, 2, 2), 1.);

assert!(
    a == arr3(&[[[1., 1.],
                 [1., 1.]],
                [[1., 1.],
                 [1., 1.]]])
);
assert!(a.strides() == &[4, 2, 1]);

let b = Array::from_elem((2, 2, 2).f(), 1.);
assert!(b.strides() == &[1, 2, 4]);

Create an array with zeros, shape shape.

Panics if the product of non-zero axis lengths overflows isize.

Create an array with ones, shape shape.

Panics if the product of non-zero axis lengths overflows isize.

Create an array with default values, shape shape

Panics if the product of non-zero axis lengths overflows isize.

Create an array with values created by the function f.

f is called with the index of the element to create; the elements are visited in arbitirary order.

Panics if the product of non-zero axis lengths overflows isize.

Create an array with the given shape from a vector. (No cloning of elements needed.)


For a contiguous c- or f-order shape, the following applies:

Errors if shape does not correspond to the number of elements in v or if the shape/strides would result in overflowing isize.


For custom strides, the following applies:

Errors if strides and dimensions can point out of bounds of v, if strides allow multiple indices to point to the same element, or if the shape/strides would result in overflowing isize.

use ndarray::Array;
use ndarray::ShapeBuilder; // Needed for .strides() method
use ndarray::arr2;

let a = Array::from_shape_vec((2, 2), vec![1., 2., 3., 4.]);
assert!(a.is_ok());

let b = Array::from_shape_vec((2, 2).strides((1, 2)),
                              vec![1., 2., 3., 4.]).unwrap();
assert!(
    b == arr2(&[[1., 3.],
                [2., 4.]])
);

Creates an array from a vector and interpret it according to the provided shape and strides. (No cloning of elements needed.)

The caller must ensure that the following conditions are met:

  1. The ndim of dim and strides must be the same.

  2. The product of non-zero axis lengths must not exceed isize::MAX.

  3. For axes with length > 1, the stride must be nonnegative.

  4. If the array will be empty (any axes are zero-length), the difference between the least address and greatest address accessible by moving along all axes must be ≤ v.len().

    If the array will not be empty, the difference between the least address and greatest address accessible by moving along all axes must be < v.len().

  5. The strides must not allow any element to be referenced by two different indices.

Create an array with uninitalized elements, shape shape.

Panics if the number of elements in shape would overflow isize.

Safety

Accessing uninitalized values is undefined behaviour. You must overwrite all the elements in the array after it is created; for example using the methods .fill() or .assign().

The contents of the array is indeterminate before initialization and it is an error to perform operations that use the previous values. For example it would not be legal to use a += 1.; on such an array.

This constructor is limited to elements where A: Copy (no destructors) to avoid users shooting themselves too hard in the foot; it is not a problem to drop an array created with this method even before elements are initialized. (Note that constructors from_shape_vec and from_shape_vec_unchecked allow the user yet more control).

Examples
#[macro_use(s)]
extern crate ndarray;

use ndarray::Array2;

// Example Task: Let's create a column shifted copy of a in b

fn shift_by_two(a: &Array2<f32>) -> Array2<f32> {
    let mut b = unsafe { Array2::uninitialized(a.dim()) };

    // two first columns in b are two last in a
    // rest of columns in b are the initial columns in a
    b.slice_mut(s![.., ..2]).assign(&a.slice(s![.., -2..]));
    b.slice_mut(s![.., 2..]).assign(&a.slice(s![.., ..-2]));

    // `b` is safe to use with all operations at this point
    b
}

Return the total number of elements in the array.

Return the length of axis.

The axis should be in the range Axis( 0 .. n ) where n is the number of dimensions (axes) of the array.

Panics if the axis is out of bounds.

Return whether the array has any elements

Return the number of dimensions (axes) in the array

Return the shape of the array in its “pattern” form, an integer in the one-dimensional case, tuple in the n-dimensional cases and so on.

Return the shape of the array as it stored in the array.

Return the shape of the array as a slice.

Return the strides of the array as a slice

Return the stride of axis.

The axis should be in the range Axis( 0 .. n ) where n is the number of dimensions (axes) of the array.

Panics if the axis is out of bounds.

Return a read-only view of the array

Return a read-write view of the array

Return an uniquely owned copy of the array.

If the input array is contiguous and its strides are positive, then the output array will have the same memory layout. Otherwise, the layout of the output array is unspecified. If you need a particular layout, you can allocate a new array with the desired memory layout and .assign() the data. Alternatively, you can collect an iterator, like this for a result in standard layout:

Array::from_shape_vec(arr.raw_dim(), arr.iter().cloned().collect()).unwrap()

or this for a result in column-major (Fortran) layout:

Array::from_shape_vec(arr.raw_dim().f(), arr.t().iter().cloned().collect()).unwrap()

Return a shared ownership (copy on write) array.

Turn the array into a uniquely owned array, cloning the array elements if necessary.

Turn the array into a shared ownership (copy on write) array, without any copying.

Returns a reference to the first element of the array, or None if it is empty.

Returns a mutable reference to the first element of the array, or None if it is empty.

Return an iterator of references to the elements of the array.

Elements are visited in the logical order of the array, which is where the rightmost index is varying the fastest.

Iterator element type is &A.

Return an iterator of mutable references to the elements of the array.

Elements are visited in the logical order of the array, which is where the rightmost index is varying the fastest.

Iterator element type is &mut A.

Return an iterator of indexes and references to the elements of the array.

Elements are visited in the logical order of the array, which is where the rightmost index is varying the fastest.

Iterator element type is (D::Pattern, &A).

See also Zip::indexed

Return an iterator of indexes and mutable references to the elements of the array.

Elements are visited in the logical order of the array, which is where the rightmost index is varying the fastest.

Iterator element type is (D::Pattern, &mut A).

Return a sliced view of the array.

See Slicing for full documentation. See also SliceInfo and D::SliceArg.

Panics if an index is out of bounds or step size is zero.
(Panics if D is IxDyn and info does not match the number of array axes.)

Return a sliced read-write view of the array.

See Slicing for full documentation. See also SliceInfo and D::SliceArg.

Panics if an index is out of bounds or step size is zero.
(Panics if D is IxDyn and info does not match the number of array axes.)

Slice the array, possibly changing the number of dimensions.

See Slicing for full documentation. See also SliceInfo and D::SliceArg.

Panics if an index is out of bounds or step size is zero.
(Panics if D is IxDyn and info does not match the number of array axes.)

Slice the array in place without changing the number of dimensions.

Note that &SliceInfo (produced by the s![] macro) will usually coerce into &D::SliceArg automatically, but in some cases (e.g. if D is IxDyn), you may need to call .as_ref().

See Slicing for full documentation. See also D::SliceArg.

Panics if an index is out of bounds or step size is zero.
(Panics if D is IxDyn and indices does not match the number of array axes.)

👎Deprecated since 0.12.1: renamed to slice_collapse

Slice the array in place without changing the number of dimensions.

Panics if an index is out of bounds or step size is zero.
(Panics if D is IxDyn and indices does not match the number of array axes.)

Return a view of the array, sliced along the specified axis.

Panics if an index is out of bounds or step size is zero.
Panics if axis is out of bounds.

Return a mutable view of the array, sliced along the specified axis.

Panics if an index is out of bounds or step size is zero.
Panics if axis is out of bounds.

Slice the array in place along the specified axis.

Panics if an index is out of bounds or step size is zero.
Panics if axis is out of bounds.

Return a reference to the element at index, or return None if the index is out of bounds.

Arrays also support indexing syntax: array[index].

use ndarray::arr2;

let a = arr2(&[[1., 2.],
               [3., 4.]]);

assert!(
    a.get((0, 1)) == Some(&2.) &&
    a.get((0, 2)) == None &&
    a[(0, 1)] == 2. &&
    a[[0, 1]] == 2.
);

Return a mutable reference to the element at index, or return None if the index is out of bounds.

Perform unchecked array indexing.

Return a reference to the element at index.

Note: only unchecked for non-debug builds of ndarray.

Perform unchecked array indexing.

Return a mutable reference to the element at index.

Note: Only unchecked for non-debug builds of ndarray.
Note: (For ArcArray) The array must be uniquely held when mutating it.

Swap elements at indices index1 and index2.

Indices may be equal.

Panics if an index is out of bounds.

Swap elements unchecked at indices index1 and index2.

Indices may be equal.

Note: only unchecked for non-debug builds of ndarray.
Note: (For ArcArray) The array must be uniquely held.

Returns a view restricted to index along the axis, with the axis removed.

See Subviews for full documentation.

Panics if axis or index is out of bounds.

use ndarray::{arr2, ArrayView, Axis};

let a = arr2(&[[1., 2. ],    // ... axis 0, row 0
               [3., 4. ],    // --- axis 0, row 1
               [5., 6. ]]);  // ... axis 0, row 2
//               .   \
//                .   axis 1, column 1
//                 axis 1, column 0
assert!(
    a.index_axis(Axis(0), 1) == ArrayView::from(&[3., 4.]) &&
    a.index_axis(Axis(1), 1) == ArrayView::from(&[2., 4., 6.])
);

Returns a mutable view restricted to index along the axis, with the axis removed.

Panics if axis or index is out of bounds.

use ndarray::{arr2, aview2, Axis};

let mut a = arr2(&[[1., 2. ],
                   [3., 4. ]]);
//                   .   \
//                    .   axis 1, column 1
//                     axis 1, column 0

{
    let mut column1 = a.index_axis_mut(Axis(1), 1);
    column1 += 10.;
}

assert!(
    a == aview2(&[[1., 12.],
                  [3., 14.]])
);

Collapses the array to index along the axis and removes the axis.

See .index_axis() and Subviews for full documentation.

Panics if axis or index is out of bounds.

Selects index along the axis, collapsing the axis into length one.

Panics if axis or index is out of bounds.

👎Deprecated since 0.12.1: renamed to index_axis

Along axis, select the subview index and return a view with that axis removed.

Panics if axis or index is out of bounds.

👎Deprecated since 0.12.1: renamed to index_axis_mut

Along axis, select the subview index and return a read-write view with the axis removed.

Panics if axis or index is out of bounds.

👎Deprecated since 0.12.1: renamed to collapse_axis

Collapse dimension axis into length one, and select the subview of index along that axis.

Panics if index is past the length of the axis.

👎Deprecated since 0.12.1: renamed to index_axis_move

Along axis, select the subview index and return self with that axis removed.

Along axis, select arbitrary subviews corresponding to indices and and copy them into a new array.

Panics if axis or an element of indices is out of bounds.

use ndarray::{arr2, Axis};

let x = arr2(&[[0., 1.],
               [2., 3.],
               [4., 5.],
               [6., 7.],
               [8., 9.]]);

let r = x.select(Axis(0), &[0, 4, 3]);
assert!(
        r == arr2(&[[0., 1.],
                    [8., 9.],
                    [6., 7.]])
);

Return a producer and iterable that traverses over the generalized rows of the array. For a 2D array these are the regular rows.

This is equivalent to .lanes(Axis(n - 1)) where n is self.ndim().

For an array of dimensions a × b × c × … × l × m it has a × b × c × … × l rows each of length m.

For example, in a 2 × 2 × 3 array, each row is 3 elements long and there are 2 × 2 = 4 rows in total.

Iterator element is ArrayView1<A> (1D array view).

use ndarray::{arr3, Axis, arr1};

let a = arr3(&[[[ 0,  1,  2],    // -- row 0, 0
                [ 3,  4,  5]],   // -- row 0, 1
               [[ 6,  7,  8],    // -- row 1, 0
                [ 9, 10, 11]]]); // -- row 1, 1

// `genrows` will yield the four generalized rows of the array.
for row in a.genrows() {
    /* loop body */
}

Return a producer and iterable that traverses over the generalized rows of the array and yields mutable array views.

Iterator element is ArrayView1<A> (1D read-write array view).

Return a producer and iterable that traverses over the generalized columns of the array. For a 2D array these are the regular columns.

This is equivalent to .lanes(Axis(0)).

For an array of dimensions a × b × c × … × l × m it has b × c × … × l × m columns each of length a.

For example, in a 2 × 2 × 3 array, each column is 2 elements long and there are 2 × 3 = 6 columns in total.

Iterator element is ArrayView1<A> (1D array view).

use ndarray::{arr3, Axis, arr1};

// The generalized columns of a 3D array:
// are directed along the 0th axis: 0 and 6, 1 and 7 and so on...
let a = arr3(&[[[ 0,  1,  2], [ 3,  4,  5]],
               [[ 6,  7,  8], [ 9, 10, 11]]]);

// Here `gencolumns` will yield the six generalized columns of the array.
for row in a.gencolumns() {
    /* loop body */
}

Return a producer and iterable that traverses over the generalized columns of the array and yields mutable array views.

Iterator element is ArrayView1<A> (1D read-write array view).

Return a producer and iterable that traverses over all 1D lanes pointing in the direction of axis.

When the pointing in the direction of the first axis, they are columns, in the direction of the last axis rows; in general they are all lanes and are one dimensional.

Iterator element is ArrayView1<A> (1D array view).

use ndarray::{arr3, aview1, Axis};

let a = arr3(&[[[ 0,  1,  2],
                [ 3,  4,  5]],
               [[ 6,  7,  8],
                [ 9, 10, 11]]]);

let inner0 = a.lanes(Axis(0));
let inner1 = a.lanes(Axis(1));
let inner2 = a.lanes(Axis(2));

// The first lane for axis 0 is [0, 6]
assert_eq!(inner0.into_iter().next().unwrap(), aview1(&[0, 6]));
// The first lane for axis 1 is [0, 3]
assert_eq!(inner1.into_iter().next().unwrap(), aview1(&[0, 3]));
// The first lane for axis 2 is [0, 1, 2]
assert_eq!(inner2.into_iter().next().unwrap(), aview1(&[0, 1, 2]));

Return a producer and iterable that traverses over all 1D lanes pointing in the direction of axis.

Iterator element is ArrayViewMut1<A> (1D read-write array view).

Return an iterator that traverses over the outermost dimension and yields each subview.

This is equivalent to .axis_iter(Axis(0)).

Iterator element is ArrayView<A, D::Smaller> (read-only array view).

Return an iterator that traverses over the outermost dimension and yields each subview.

This is equivalent to .axis_iter_mut(Axis(0)).

Iterator element is ArrayViewMut<A, D::Smaller> (read-write array view).

Return an iterator that traverses over axis and yields each subview along it.

For example, in a 3 × 4 × 5 array, with axis equal to Axis(2), the iterator element is a 3 × 4 subview (and there are 5 in total), as shown in the picture below.

Iterator element is ArrayView<A, D::Smaller> (read-only array view).

See Subviews for full documentation.

Panics if axis is out of bounds.

Return an iterator that traverses over axis and yields each mutable subview along it.

Iterator element is ArrayViewMut<A, D::Smaller> (read-write array view).

Panics if axis is out of bounds.

Return an iterator that traverses over axis by chunks of size, yielding non-overlapping views along that axis.

Iterator element is ArrayView<A, D>

The last view may have less elements if size does not divide the axis’ dimension.

Panics if axis is out of bounds.

use ndarray::Array;
use ndarray::{arr3, Axis};

let a = Array::from_iter(0..28).into_shape((2, 7, 2)).unwrap();
let mut iter = a.axis_chunks_iter(Axis(1), 2);

// first iteration yields a 2 × 2 × 2 view
assert_eq!(iter.next().unwrap(),
           arr3(&[[[ 0,  1], [ 2, 3]],
                  [[14, 15], [16, 17]]]));

// however the last element is a 2 × 1 × 2 view since 7 % 2 == 1
assert_eq!(iter.next_back().unwrap(), arr3(&[[[12, 13]],
                                             [[26, 27]]]));

Return an iterator that traverses over axis by chunks of size, yielding non-overlapping read-write views along that axis.

Iterator element is ArrayViewMut<A, D>

Panics if axis is out of bounds.

Return an exact chunks producer (and iterable).

It produces the whole chunks of a given n-dimensional chunk size, skipping the remainder along each dimension that doesn’t fit evenly.

The produced element is a ArrayView<A, D> with exactly the dimension chunk_size.

Panics if any dimension of chunk_size is zero
(Panics if D is IxDyn and chunk_size does not match the number of array axes.)

Return an exact chunks producer (and iterable).

It produces the whole chunks of a given n-dimensional chunk size, skipping the remainder along each dimension that doesn’t fit evenly.

The produced element is a ArrayViewMut<A, D> with exactly the dimension chunk_size.

Panics if any dimension of chunk_size is zero
(Panics if D is IxDyn and chunk_size does not match the number of array axes.)

use ndarray::Array;
use ndarray::arr2;
let mut a = Array::zeros((6, 7));

// Fill each 2 × 2 chunk with the index of where it appeared in iteration
for (i, mut chunk) in a.exact_chunks_mut((2, 2)).into_iter().enumerate() {
    chunk.fill(i);
}

// The resulting array is:
assert_eq!(
  a,
  arr2(&[[0, 0, 1, 1, 2, 2, 0],
         [0, 0, 1, 1, 2, 2, 0],
         [3, 3, 4, 4, 5, 5, 0],
         [3, 3, 4, 4, 5, 5, 0],
         [6, 6, 7, 7, 8, 8, 0],
         [6, 6, 7, 7, 8, 8, 0]]));

Return a window producer and iterable.

The windows are all distinct overlapping views of size window_size that fit into the array’s shape.

Will yield over no elements if window size is larger than the actual array size of any dimension.

The produced element is an ArrayView<A, D> with exactly the dimension window_size.

Panics if any dimension of window_size is zero.
(Panics if D is IxDyn and window_size does not match the number of array axes.)

Return an view of the diagonal elements of the array.

The diagonal is simply the sequence indexed by (0, 0, .., 0), (1, 1, …, 1) etc as long as all axes have elements.

Return a read-write view over the diagonal elements of the array.

Return the diagonal as a one-dimensional array.

Return true if the array data is laid out in contiguous “C order” in memory (where the last index is the most rapidly varying).

Return false otherwise, i.e the array is possibly not contiguous in memory, it has custom strides, etc.

Return a pointer to the first element in the array.

Raw access to array elements needs to follow the strided indexing scheme: an element at multi-index I in an array with strides S is located at offset

Σ0 ≤ k < d Ik × Sk

where d is self.ndim().

Return a mutable pointer to the first element in the array.

Return the array’s data as a slice, if it is contiguous and in standard order. Return None otherwise.

If this function returns Some(_), then the element order in the slice corresponds to the logical order of the array’s elements.

Return the array’s data as a slice, if it is contiguous and in standard order. Return None otherwise.

Return the array’s data as a slice if it is contiguous, return None otherwise.

If this function returns Some(_), then the elements in the slice have whatever order the elements have in memory.

Implementation notes: Does not yet support negatively strided arrays.

Return the array’s data as a slice if it is contiguous, return None otherwise.

Transform the array into shape; any shape with the same number of elements is accepted, but the source array or view must be contiguous, otherwise we cannot rearrange the dimension.

Errors if the shapes don’t have the same number of elements.
Errors if the input array is not c- or f-contiguous.

use ndarray::{aview1, aview2};

assert!(
    aview1(&[1., 2., 3., 4.]).into_shape((2, 2)).unwrap()
    == aview2(&[[1., 2.],
                [3., 4.]])
);

Note: Reshape is for ArcArray only. Use .into_shape() for other arrays and array views.

Transform the array into shape; any shape with the same number of elements is accepted.

May clone all elements if needed to arrange elements in standard layout (and break sharing).

Panics if shapes are incompatible.

use ndarray::{rcarr1, rcarr2};

assert!(
    rcarr1(&[1., 2., 3., 4.]).reshape((2, 2))
    == rcarr2(&[[1., 2.],
                [3., 4.]])
);

Convert any array or array view to a dynamic dimensional array or array view (respectively).

use ndarray::{arr2, ArrayD};

let array: ArrayD<i32> = arr2(&[[1, 2],
                                [3, 4]]).into_dyn();

Convert an array or array view to another with the same type, but different dimensionality type. Errors if the dimensions don’t agree.

use ndarray::{ArrayD, Ix2, IxDyn};

// Create a dynamic dimensionality array and convert it to an Array2
// (Ix2 dimension type).

let array = ArrayD::<f64>::zeros(IxDyn(&[10, 10]));

assert!(array.into_dimensionality::<Ix2>().is_ok());

Act like a larger size and/or shape array by broadcasting into a larger shape, if possible.

Return None if shapes can not be broadcast together.

Background

  • Two axes are compatible if they are equal, or one of them is 1.
  • In this instance, only the axes of the smaller side (self) can be 1.

Compare axes beginning with the last axis of each shape.

For example (1, 2, 4) can be broadcast into (7, 6, 2, 4) because its axes are either equal or 1 (or missing); while (2, 2) can not be broadcast into (2, 4).

The implementation creates a view with strides set to zero for the axes that are to be repeated.

The broadcasting documentation for Numpy has more information.

use ndarray::{aview1, aview2};

assert!(
    aview1(&[1., 0.]).broadcast((10, 2)).unwrap()
    == aview2(&[[1., 0.]; 10])
);

Swap axes ax and bx.

This does not move any data, it just adjusts the array’s dimensions and strides.

Panics if the axes are out of bounds.

use ndarray::arr2;

let mut a = arr2(&[[1., 2., 3.]]);
a.swap_axes(0, 1);
assert!(
    a == arr2(&[[1.], [2.], [3.]])
);

Permute the axes.

This does not move any data, it just adjusts the array’s dimensions and strides.

i in the j-th place in the axes sequence means self’s i-th axis becomes self.permuted_axes()’s j-th axis

Panics if any of the axes are out of bounds, if an axis is missing, or if an axis is repeated more than once.

Examples
use ndarray::{arr2, Array3};

let a = arr2(&[[0, 1], [2, 3]]);
assert_eq!(a.view().permuted_axes([1, 0]), a.t());

let b = Array3::<u8>::zeros((1, 2, 3));
assert_eq!(b.permuted_axes([1, 0, 2]).shape(), &[2, 1, 3]);

Transpose the array by reversing axes.

Transposition reverses the order of the axes (dimensions and strides) while retaining the same data.

Return a transposed view of the array.

This is a shorthand for self.view().reversed_axes().

See also the more general methods .reversed_axes() and .swap_axes().

Return an iterator over the length and stride of each axis.

Return the axis with the greatest stride (by absolute value), preferring axes with len > 1.

Reverse the stride of axis.

Panics if the axis is out of bounds.

If possible, merge in the axis take to into.

Returns true iff the axes are now merged.

This method merges the axes if movement along the two original axes (moving fastest along the into axis) can be equivalently represented as movement along one (merged) axis. Merging the axes preserves this order in the merged axis. If take and into are the same axis, then the axis is “merged” if its length is ≤ 1.

If the return value is true, then the following hold:

  • The new length of the into axis is the product of the original lengths of the two axes.

  • The new length of the take axis is 0 if the product of the original lengths of the two axes is 0, and 1 otherwise.

If the return value is false, then merging is not possible, and the original shape and strides have been preserved.

Note that the ordering constraint means that if it’s possible to merge take into into, it’s usually not possible to merge into into take, and vice versa.

use ndarray::Array3;
use ndarray::Axis;

let mut a = Array3::<f64>::zeros((2, 3, 4));
assert!(a.merge_axes(Axis(1), Axis(2)));
assert_eq!(a.shape(), &[2, 1, 12]);

Panics if an axis is out of bounds.

Insert new array axis at axis and return the result.

use ndarray::{Array3, Axis, arr1, arr2};

// Convert a 1-D array into a row vector (2-D).
let a = arr1(&[1, 2, 3]);
let row = a.insert_axis(Axis(0));
assert_eq!(row, arr2(&[[1, 2, 3]]));

// Convert a 1-D array into a column vector (2-D).
let b = arr1(&[1, 2, 3]);
let col = b.insert_axis(Axis(1));
assert_eq!(col, arr2(&[[1], [2], [3]]));

// The new axis always has length 1.
let b = Array3::<f64>::zeros((3, 4, 5));
assert_eq!(b.insert_axis(Axis(2)).shape(), &[3, 4, 1, 5]);

Panics if the axis is out of bounds.

👎Deprecated since 0.12.1: use .index_axis_move(Axis(_), 0) instead

Remove array axis axis and return the result.

Panics if the axis is out of bounds or its length is zero.

Perform an elementwise assigment to self from rhs.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

Perform an elementwise assigment to self from element x.

Traverse two arrays in unspecified order, in lock step, calling the closure f on each element pair.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

Traverse the array elements and apply a fold, returning the resulting value.

Elements are visited in arbitrary order.

Call f by reference on each element and create a new array with the new values.

Elements are visited in arbitrary order.

Return an array with the same shape as self.

use ndarray::arr2;

let a = arr2(&[[ 0., 1.],
               [-1., 2.]]);
assert!(
    a.map(|x| *x >= 1.0)
    == arr2(&[[false, true],
              [false, true]])
);

Call f on a mutable reference of each element and create a new array with the new values.

Elements are visited in arbitrary order.

Return an array with the same shape as self.

Call f by value on each element and create a new array with the new values.

Elements are visited in arbitrary order.

Return an array with the same shape as self.

use ndarray::arr2;

let a = arr2(&[[ 0., 1.],
               [-1., 2.]]);
assert!(
    a.mapv(f32::abs) == arr2(&[[0., 1.],
                               [1., 2.]])
);

Call f by value on each element, update the array with the new values and return it.

Elements are visited in arbitrary order.

Modify the array in place by calling f by mutable reference on each element.

Elements are visited in arbitrary order.

Modify the array in place by calling f by value on each element. The array is updated with the new values.

Elements are visited in arbitrary order.

use ndarray::arr2;

let mut a = arr2(&[[ 0., 1.],
                   [-1., 2.]]);
a.mapv_inplace(f32::exp);
assert!(
    a.all_close(&arr2(&[[1.00000, 2.71828],
                        [0.36788, 7.38906]]), 1e-5)
);

Visit each element in the array by calling f by reference on each element.

Elements are visited in arbitrary order.

Fold along an axis.

Combine the elements of each subview with the previous using the fold function and initial value init.

Return the result as an Array.

Panics if axis is out of bounds.

Reduce the values along an axis into just one value, producing a new array with one less dimension.

Elements are visited in arbitrary order.

Return the result as an Array.

Panics if axis is out of bounds.

Reduce the values along an axis into just one value, producing a new array with one less dimension. 1-dimensional lanes are passed as mutable references to the reducer, allowing for side-effects.

Elements are visited in arbitrary order.

Return the result as an Array.

Panics if axis is out of bounds.

Methods specific to Array0.

See also all methods for ArrayBase

Returns the single element in the array without cloning it.

use ndarray::{arr0, Array0};

// `Foo` doesn't implement `Clone`.
#[derive(Debug, Eq, PartialEq)]
struct Foo;

let array: Array0<Foo> = arr0(Foo);
let scalar: Foo = array.into_scalar();
assert_eq!(scalar, Foo);

Methods specific to Array.

See also all methods for ArrayBase

Return a vector of the elements in the array, in the way they are stored internally.

If the array is in standard memory layout, the logical element order of the array (.iter() order) and of the returned vector will be the same.

Return an vector with the elements of the one-dimensional array.

Return an array view of row index.

Panics if index is out of bounds.

Return a mutable array view of row index.

Panics if index is out of bounds.

Return the number of rows (length of Axis(0)) in the two-dimensional array.

Return an array view of column index.

Panics if index is out of bounds.

Return a mutable array view of column index.

Panics if index is out of bounds.

Return the number of columns (length of Axis(1)) in the two-dimensional array.

Return true if the array is square, false otherwise.

Insert new array axis of length 1 at axis, modifying the shape and strides in-place.

Panics if the axis is out of bounds.

use ndarray::{Axis, arr2, arr3};

let mut a = arr2(&[[1, 2, 3], [4, 5, 6]]).into_dyn();
assert_eq!(a.shape(), &[2, 3]);

a.insert_axis_inplace(Axis(1));
assert_eq!(a, arr3(&[[[1, 2, 3]], [[4, 5, 6]]]).into_dyn());
assert_eq!(a.shape(), &[2, 1, 3]);

Collapses the array to index along the axis and removes the axis, modifying the shape and strides in-place.

Panics if axis or index is out of bounds.

use ndarray::{Axis, arr1, arr2};

let mut a = arr2(&[[1, 2, 3], [4, 5, 6]]).into_dyn();
assert_eq!(a.shape(), &[2, 3]);

a.index_axis_inplace(Axis(1), 1);
assert_eq!(a, arr1(&[2, 5]).into_dyn());
assert_eq!(a.shape(), &[2]);

Return the sum of all elements in the array.

use ndarray::arr2;

let a = arr2(&[[1., 2.],
               [3., 4.]]);
assert_eq!(a.sum(), 10.);

Return the sum of all elements in the array.

This method has been renamed to .sum() and will be deprecated in the next version.

Return the product of all elements in the array.

use ndarray::arr2;

let a = arr2(&[[1., 2.],
               [3., 4.]]);
assert_eq!(a.product(), 24.);

Return sum along axis.

use ndarray::{aview0, aview1, arr2, Axis};

let a = arr2(&[[1., 2.],
               [3., 4.]]);
assert!(
    a.sum_axis(Axis(0)) == aview1(&[4., 6.]) &&
    a.sum_axis(Axis(1)) == aview1(&[3., 7.]) &&

    a.sum_axis(Axis(0)).sum_axis(Axis(0)) == aview0(&10.)
);

Panics if axis is out of bounds.

Return mean along axis.

Panics if axis is out of bounds or if the length of the axis is zero and division by zero panics for type A.

use ndarray::{aview1, arr2, Axis};

let a = arr2(&[[1., 2.],
               [3., 4.]]);
assert!(
    a.mean_axis(Axis(0)) == aview1(&[2.0, 3.0]) &&
    a.mean_axis(Axis(1)) == aview1(&[1.5, 3.5])
);

Return variance along axis.

The variance is computed using the Welford one-pass algorithm.

The parameter ddof specifies the “delta degrees of freedom”. For example, to calculate the population variance, use ddof = 0, or to calculate the sample variance, use ddof = 1.

The variance is defined as:

              1       n
variance = ――――――――   ∑ (xᵢ - x̅)²
           n - ddof  i=1

where

    1   n
x̅ = ―   ∑ xᵢ
    n  i=1

Panics if ddof is greater than or equal to the length of the axis, if axis is out of bounds, or if the length of the axis is zero.

Example
use ndarray::{aview1, arr2, Axis};

let a = arr2(&[[1., 2.],
               [3., 4.],
               [5., 6.]]);
let var = a.var_axis(Axis(0), 1.);
assert_eq!(var, aview1(&[4., 4.]));

Return standard deviation along axis.

The standard deviation is computed from the variance using the Welford one-pass algorithm.

The parameter ddof specifies the “delta degrees of freedom”. For example, to calculate the population standard deviation, use ddof = 0, or to calculate the sample standard deviation, use ddof = 1.

The standard deviation is defined as:

                   1       n
stddev = sqrt ( ――――――――   ∑ (xᵢ - x̅)² )
                n - ddof  i=1

where

    1   n
x̅ = ―   ∑ xᵢ
    n  i=1

Panics if ddof is greater than or equal to the length of the axis, if axis is out of bounds, or if the length of the axis is zero.

Example
use ndarray::{aview1, arr2, Axis};

let a = arr2(&[[1., 2.],
               [3., 4.],
               [5., 6.]]);
let stddev = a.std_axis(Axis(0), 1.);
assert_eq!(stddev, aview1(&[2., 2.]));

Return true if the arrays’ elementwise differences are all within the given absolute tolerance, false otherwise.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting to the same shape isn’t possible.

Perform dot product or matrix multiplication of arrays self and rhs.

Rhs may be either a one-dimensional or a two-dimensional array.

If Rhs is one-dimensional, then the operation is a vector dot product, which is the sum of the elementwise products (no conjugation of complex operands, and thus not their inner product). In this case, self and rhs must be the same length.

If Rhs is two-dimensional, then the operation is matrix multiplication, where self is treated as a row vector. In this case, if self is shape M, then rhs is shape M × N and the result is shape N.

Panics if the array shapes are incompatible.
Note: If enabled, uses blas dot for elements of f32, f64 when memory layout allows.

Perform matrix multiplication of rectangular arrays self and rhs.

Rhs may be either a one-dimensional or a two-dimensional array.

If Rhs is two-dimensional, they array shapes must agree in the way that if self is M × N, then rhs is N × K.

Return a result array with shape M × K.

Panics if shapes are incompatible or the number of elements in the result would overflow isize.

Note: If enabled, uses blas gemv/gemm for elements of f32, f64 when memory layout allows. The default matrixmultiply backend is otherwise used for f32, f64 for all memory layouts.

use ndarray::arr2;

let a = arr2(&[[1., 2.],
               [0., 1.]]);
let b = arr2(&[[1., 2.],
               [2., 3.]]);

assert!(
    a.dot(&b) == arr2(&[[5., 8.],
                        [2., 3.]])
);

Perform the operation self += alpha * rhs efficiently, where alpha is a scalar and rhs is another array. This operation is also known as axpy in BLAS.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

Methods for read-only array views.

Create a read-only array view borrowing its data from a slice.

Checks whether shape are compatible with the slice’s length, returning an Err if not compatible.

use ndarray::ArrayView;
use ndarray::arr3;
use ndarray::ShapeBuilder;

let s = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12];
let a = ArrayView::from_shape((2, 3, 2).strides((1, 4, 2)),
                              &s).unwrap();

assert!(
    a == arr3(&[[[0, 2],
                 [4, 6],
                 [8, 10]],
                [[1, 3],
                 [5, 7],
                 [9, 11]]])
);
assert!(a.strides() == &[1, 4, 2]);

Create an ArrayView<A, D> from shape information and a raw pointer to the elements.

Unsafe because caller is responsible for ensuring all of the following:

  • The elements seen by moving ptr according to the shape and strides must live at least as long as 'a and must not be not mutably aliased for the duration of 'a.

  • ptr must be non-null and aligned, and it must be safe to .offset() ptr by zero.

  • It must be safe to .offset() the pointer repeatedly along all axes and calculate the counts for the .offset() calls without overflow, even if the array is empty or the elements are zero-sized.

    In other words,

    • All possible pointers generated by moving along all axes must be in bounds or one byte past the end of a single allocation with element type A. The only exceptions are if the array is empty or the element type is zero-sized. In these cases, ptr may be dangling, but it must still be safe to .offset() the pointer along the axes.

    • The offset in units of bytes between the least address and greatest address by moving along all axes must not exceed isize::MAX. This constraint prevents the computed offset, in bytes, from overflowing isize regardless of the starting point due to past offsets.

    • The offset in units of A between the least address and greatest address by moving along all axes must not exceed isize::MAX. This constraint prevents overflow when calculating the count parameter to .offset() regardless of the starting point due to past offsets.

  • The product of non-zero axis lengths must not exceed isize::MAX.

Convert the view into an ArrayView<'b, A, D> where 'b is a lifetime outlived by 'a'.

Split the array view along axis and return one view strictly before the split and one view after the split.

Panics if axis or index is out of bounds.

Below, an illustration of .split_at(Axis(2), 2) on an array with shape 3 × 5 × 5.

Return the array’s data as a slice, if it is contiguous and in standard order. Return None otherwise.

Methods for read-write array views.

Create a read-write array view borrowing its data from a slice.

Checks whether dim and strides are compatible with the slice’s length, returning an Err if not compatible.

use ndarray::ArrayViewMut;
use ndarray::arr3;
use ndarray::ShapeBuilder;

let mut s = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12];
let mut a = ArrayViewMut::from_shape((2, 3, 2).strides((1, 4, 2)),
                                     &mut s).unwrap();

a[[0, 0, 0]] = 1;
assert!(
    a == arr3(&[[[1, 2],
                 [4, 6],
                 [8, 10]],
                [[1, 3],
                 [5, 7],
                 [9, 11]]])
);
assert!(a.strides() == &[1, 4, 2]);

Create an ArrayViewMut<A, D> from shape information and a raw pointer to the elements.

Unsafe because caller is responsible for ensuring all of the following:

  • The elements seen by moving ptr according to the shape and strides must live at least as long as 'a and must not be aliased for the duration of 'a.

  • ptr must be non-null and aligned, and it must be safe to .offset() ptr by zero.

  • It must be safe to .offset() the pointer repeatedly along all axes and calculate the counts for the .offset() calls without overflow, even if the array is empty or the elements are zero-sized.

    In other words,

    • All possible pointers generated by moving along all axes must be in bounds or one byte past the end of a single allocation with element type A. The only exceptions are if the array is empty or the element type is zero-sized. In these cases, ptr may be dangling, but it must still be safe to .offset() the pointer along the axes.

    • The offset in units of bytes between the least address and greatest address by moving along all axes must not exceed isize::MAX. This constraint prevents the computed offset, in bytes, from overflowing isize regardless of the starting point due to past offsets.

    • The offset in units of A between the least address and greatest address by moving along all axes must not exceed isize::MAX. This constraint prevents overflow when calculating the count parameter to .offset() regardless of the starting point due to past offsets.

  • The product of non-zero axis lengths must not exceed isize::MAX.

Convert the view into an ArrayViewMut<'b, A, D> where 'b is a lifetime outlived by 'a'.

Split the array view along axis and return one mutable view strictly before the split and one mutable view after the split.

Panics if axis or index is out of bounds.

Return the array’s data as a slice, if it is contiguous and in standard order. Return None otherwise.

Trait Implementations§

The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more

Perform elementwise addition between references self and rhs, and return the result as a new Array.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the + operator.
Performs the + operation. Read more

Perform elementwise addition between self and reference rhs, and return the result (based on self).

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more

Perform elementwise addition between self and rhs, and return the result (based on self).

self must be an Array or ArcArray.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the + operator.
Performs the + operation. Read more

Perform elementwise addition between the reference self and the scalar x, and return the result as a new Array.

The resulting type after applying the + operator.
Performs the + operation. Read more

Perform elementwise addition between self and the scalar x, and return the result (based on self).

self must be an Array or ArcArray.

The resulting type after applying the + operator.
Performs the + operation. Read more

Perform self += rhs as elementwise addition (in place). If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

Performs the += operation. Read more

Perform self += rhs as elementwise addition (in place).

Performs the += operation. Read more

Format the array using Binary and apply the formatting parameters used to each element.

The array is shown in multiline style.

Formats the value using the given formatter.
The resulting type after applying the & operator.
Performs the & operation. Read more
The resulting type after applying the & operator.
Performs the & operation. Read more
The resulting type after applying the & operator.
Performs the & operation. Read more
The resulting type after applying the & operator.
Performs the & operation. Read more
The resulting type after applying the & operator.
Performs the & operation. Read more
The resulting type after applying the & operator.
Performs the & operation. Read more
The resulting type after applying the & operator.
Performs the & operation. Read more
The resulting type after applying the & operator.
Performs the & operation. Read more
The resulting type after applying the & operator.
Performs the & operation. Read more
The resulting type after applying the & operator.
Performs the & operation. Read more
The resulting type after applying the & operator.
Performs the & operation. Read more

Perform elementwise bit and between references self and rhs, and return the result as a new Array.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the & operator.
Performs the & operation. Read more

Perform elementwise bit and between self and reference rhs, and return the result (based on self).

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the & operator.
Performs the & operation. Read more
The resulting type after applying the & operator.
Performs the & operation. Read more
The resulting type after applying the & operator.
Performs the & operation. Read more
The resulting type after applying the & operator.
Performs the & operation. Read more
The resulting type after applying the & operator.
Performs the & operation. Read more
The resulting type after applying the & operator.
Performs the & operation. Read more
The resulting type after applying the & operator.
Performs the & operation. Read more
The resulting type after applying the & operator.
Performs the & operation. Read more
The resulting type after applying the & operator.
Performs the & operation. Read more
The resulting type after applying the & operator.
Performs the & operation. Read more
The resulting type after applying the & operator.
Performs the & operation. Read more
The resulting type after applying the & operator.
Performs the & operation. Read more

Perform elementwise bit and between self and rhs, and return the result (based on self).

self must be an Array or ArcArray.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the & operator.
Performs the & operation. Read more

Perform elementwise bit and between the reference self and the scalar x, and return the result as a new Array.

The resulting type after applying the & operator.
Performs the & operation. Read more

Perform elementwise bit and between self and the scalar x, and return the result (based on self).

self must be an Array or ArcArray.

The resulting type after applying the & operator.
Performs the & operation. Read more

Perform self &= rhs as elementwise bit and (in place). If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

Performs the &= operation. Read more

Perform self &= rhs as elementwise bit and (in place).

Performs the &= operation. Read more
The resulting type after applying the | operator.
Performs the | operation. Read more
The resulting type after applying the | operator.
Performs the | operation. Read more
The resulting type after applying the | operator.
Performs the | operation. Read more
The resulting type after applying the | operator.
Performs the | operation. Read more
The resulting type after applying the | operator.
Performs the | operation. Read more
The resulting type after applying the | operator.
Performs the | operation. Read more
The resulting type after applying the | operator.
Performs the | operation. Read more
The resulting type after applying the | operator.
Performs the | operation. Read more
The resulting type after applying the | operator.
Performs the | operation. Read more
The resulting type after applying the | operator.
Performs the | operation. Read more
The resulting type after applying the | operator.
Performs the | operation. Read more

Perform elementwise bit or between references self and rhs, and return the result as a new Array.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the | operator.
Performs the | operation. Read more

Perform elementwise bit or between self and reference rhs, and return the result (based on self).

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the | operator.
Performs the | operation. Read more
The resulting type after applying the | operator.
Performs the | operation. Read more
The resulting type after applying the | operator.
Performs the | operation. Read more
The resulting type after applying the | operator.
Performs the | operation. Read more
The resulting type after applying the | operator.
Performs the | operation. Read more
The resulting type after applying the | operator.
Performs the | operation. Read more
The resulting type after applying the | operator.
Performs the | operation. Read more
The resulting type after applying the | operator.
Performs the | operation. Read more
The resulting type after applying the | operator.
Performs the | operation. Read more
The resulting type after applying the | operator.
Performs the | operation. Read more
The resulting type after applying the | operator.
Performs the | operation. Read more
The resulting type after applying the | operator.
Performs the | operation. Read more

Perform elementwise bit or between self and rhs, and return the result (based on self).

self must be an Array or ArcArray.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the | operator.
Performs the | operation. Read more

Perform elementwise bit or between the reference self and the scalar x, and return the result as a new Array.

The resulting type after applying the | operator.
Performs the | operation. Read more

Perform elementwise bit or between self and the scalar x, and return the result (based on self).

self must be an Array or ArcArray.

The resulting type after applying the | operator.
Performs the | operation. Read more

Perform self |= rhs as elementwise bit or (in place). If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

Performs the |= operation. Read more

Perform self |= rhs as elementwise bit or (in place).

Performs the |= operation. Read more
The resulting type after applying the ^ operator.
Performs the ^ operation. Read more
The resulting type after applying the ^ operator.
Performs the ^ operation. Read more
The resulting type after applying the ^ operator.
Performs the ^ operation. Read more
The resulting type after applying the ^ operator.
Performs the ^ operation. Read more
The resulting type after applying the ^ operator.
Performs the ^ operation. Read more
The resulting type after applying the ^ operator.
Performs the ^ operation. Read more
The resulting type after applying the ^ operator.
Performs the ^ operation. Read more
The resulting type after applying the ^ operator.
Performs the ^ operation. Read more
The resulting type after applying the ^ operator.
Performs the ^ operation. Read more
The resulting type after applying the ^ operator.
Performs the ^ operation. Read more
The resulting type after applying the ^ operator.
Performs the ^ operation. Read more

Perform elementwise bit xor between references self and rhs, and return the result as a new Array.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the ^ operator.
Performs the ^ operation. Read more

Perform elementwise bit xor between self and reference rhs, and return the result (based on self).

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the ^ operator.
Performs the ^ operation. Read more
The resulting type after applying the ^ operator.
Performs the ^ operation. Read more
The resulting type after applying the ^ operator.
Performs the ^ operation. Read more
The resulting type after applying the ^ operator.
Performs the ^ operation. Read more
The resulting type after applying the ^ operator.
Performs the ^ operation. Read more
The resulting type after applying the ^ operator.
Performs the ^ operation. Read more
The resulting type after applying the ^ operator.
Performs the ^ operation. Read more
The resulting type after applying the ^ operator.
Performs the ^ operation. Read more
The resulting type after applying the ^ operator.
Performs the ^ operation. Read more
The resulting type after applying the ^ operator.
Performs the ^ operation. Read more
The resulting type after applying the ^ operator.
Performs the ^ operation. Read more
The resulting type after applying the ^ operator.
Performs the ^ operation. Read more

Perform elementwise bit xor between self and rhs, and return the result (based on self).

self must be an Array or ArcArray.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the ^ operator.
Performs the ^ operation. Read more

Perform elementwise bit xor between the reference self and the scalar x, and return the result as a new Array.

The resulting type after applying the ^ operator.
Performs the ^ operation. Read more

Perform elementwise bit xor between self and the scalar x, and return the result (based on self).

self must be an Array or ArcArray.

The resulting type after applying the ^ operator.
Performs the ^ operation. Read more

Perform self ^= rhs as elementwise bit xor (in place). If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

Performs the ^= operation. Read more

Perform self ^= rhs as elementwise bit xor (in place).

Performs the ^= operation. Read more

Array implements .clone_from() to reuse an array’s existing allocation. Semantically equivalent to *self = other.clone(), but potentially more efficient.

Returns a copy of the value. Read more

Format the array using Debug and apply the formatting parameters used to each element.

The array is shown in multiline style.

Formats the value using the given formatter. Read more

Requires crate feature "rustc-serialize"

Deserialize a value using a Decoder.

Create an owned array with a default state.

The array is created with dimension D::default(), which results in for example dimensions 0 and (0, 0) with zero elements for the one-dimensional and two-dimensional cases respectively.

The default dimension for IxDyn is IxDyn(&[0]) (array has zero elements). And the default for the dimension () is () (array has one element).

Since arrays cannot grow, the intention is to use the default value as placeholder.

Returns the “default value” for a type. Read more

Requires crate feature "serde-1"

Deserialize this value from the given Serde deserializer. Read more

Format the array using Display and apply the formatting parameters used to each element.

The array is shown in multiline style.

Formats the value using the given formatter. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more

Perform elementwise division between references self and rhs, and return the result as a new Array.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the / operator.
Performs the / operation. Read more

Perform elementwise division between self and reference rhs, and return the result (based on self).

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more

Perform elementwise division between self and rhs, and return the result (based on self).

self must be an Array or ArcArray.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the / operator.
Performs the / operation. Read more

Perform elementwise division between the reference self and the scalar x, and return the result as a new Array.

The resulting type after applying the / operator.
Performs the / operation. Read more

Perform elementwise division between self and the scalar x, and return the result (based on self).

self must be an Array or ArcArray.

The resulting type after applying the / operator.
Performs the / operation. Read more

Perform self /= rhs as elementwise division (in place). If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

Performs the /= operation. Read more

Perform self /= rhs as elementwise division (in place).

Performs the /= operation. Read more

Compute the dot product of one-dimensional arrays.

The dot product is a sum of the elementwise products (no conjugation of complex operands, and thus not their inner product).

Panics if the arrays are not of the same length.
Note: If enabled, uses blas dot for elements of f32, f64 when memory layout allows.

The result of the operation. Read more

Perform the matrix multiplication of the rectangular array self and column vector rhs.

The array shapes must agree in the way that if self is M × N, then rhs is N.

Return a result array with shape M.

Panics if shapes are incompatible.

The result of the operation. Read more

Perform the matrix multiplication of the row vector self and rectangular matrix rhs.

The array shapes must agree in the way that if self is M, then rhs is M × N.

Return a result array with shape N.

Panics if shapes are incompatible.

The result of the operation. Read more
The result of the operation. Read more

Requires crate feature "rustc-serialize"

Serialize a value using an Encoder.

Implementation of ArrayView::from(&A) where A is an array.

Create a read-only array view of the array.

Converts to this type from the input type.

Implementation of ArrayViewMut::from(&mut A) where A is an array.

Create a read-write array view of the array.

Converts to this type from the input type.
Creates a value from an iterator. Read more
Feeds this value into the given Hasher. Read more
Feeds a slice of this type into the given Hasher. Read more

Access the element at index.

Panics if index is out of bounds.

The returned type after indexing.
Performs the indexing (container[index]) operation. Read more

Access the element at index mutably.

Panics if index is out of bounds.

Performs the mutable indexing (container[index]) operation. Read more
The type of the elements being iterated over.
Which kind of iterator are we turning this into?
Creates an iterator from a value. Read more
The type of the elements being iterated over.
Which kind of iterator are we turning this into?
Creates an iterator from a value. Read more

An array reference is an n-dimensional producer of element references (like ArrayView).

The element produced per iteration.
Dimension type of the producer
Convert the value into an NdProducer.

A mutable array reference is an n-dimensional producer of mutable element references (like ArrayViewMut).

The element produced per iteration.
Dimension type of the producer
Convert the value into an NdProducer.

Format the array using LowerExp and apply the formatting parameters used to each element.

The array is shown in multiline style.

Formats the value using the given formatter.

Format the array using LowerHex and apply the formatting parameters used to each element.

The array is shown in multiline style.

Formats the value using the given formatter.
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more

Perform elementwise multiplication between references self and rhs, and return the result as a new Array.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the * operator.
Performs the * operation. Read more

Perform elementwise multiplication between self and reference rhs, and return the result (based on self).

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more

Perform elementwise multiplication between self and rhs, and return the result (based on self).

self must be an Array or ArcArray.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the * operator.
Performs the * operation. Read more

Perform elementwise multiplication between the reference self and the scalar x, and return the result as a new Array.

The resulting type after applying the * operator.
Performs the * operation. Read more

Perform elementwise multiplication between self and the scalar x, and return the result (based on self).

self must be an Array or ArcArray.

The resulting type after applying the * operator.
Performs the * operation. Read more

Perform self *= rhs as elementwise multiplication (in place). If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

Performs the *= operation. Read more

Perform self *= rhs as elementwise multiplication (in place).

Performs the *= operation. Read more

Perform an elementwise negation of reference self and return the result as a new Array.

The resulting type after applying the - operator.

Perform an elementwise negation of self and return the result.

The resulting type after applying the - operator.

Perform an elementwise unary not of reference self and return the result as a new Array.

The resulting type after applying the ! operator.

Perform an elementwise unary not of self and return the result.

The resulting type after applying the ! operator.

Return true if the array shapes and all elements of self and rhs are equal. Return false otherwise.

This method tests for self and other values to be equal, and is used by ==. Read more
This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more

Perform elementwise remainder between references self and rhs, and return the result as a new Array.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the % operator.
Performs the % operation. Read more

Perform elementwise remainder between self and reference rhs, and return the result (based on self).

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more

Perform elementwise remainder between self and rhs, and return the result (based on self).

self must be an Array or ArcArray.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the % operator.
Performs the % operation. Read more

Perform elementwise remainder between the reference self and the scalar x, and return the result as a new Array.

The resulting type after applying the % operator.
Performs the % operation. Read more

Perform elementwise remainder between self and the scalar x, and return the result (based on self).

self must be an Array or ArcArray.

The resulting type after applying the % operator.
Performs the % operation. Read more

Perform self %= rhs as elementwise remainder (in place). If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

Performs the %= operation. Read more

Perform self %= rhs as elementwise remainder (in place).

Performs the %= operation. Read more

Requires crate feature "serde-1"

Serialize this value into the given Serde serializer. Read more
The resulting type after applying the << operator.
Performs the << operation. Read more
The resulting type after applying the << operator.
Performs the << operation. Read more
The resulting type after applying the << operator.
Performs the << operation. Read more
The resulting type after applying the << operator.
Performs the << operation. Read more
The resulting type after applying the << operator.
Performs the << operation. Read more
The resulting type after applying the << operator.
Performs the << operation. Read more
The resulting type after applying the << operator.
Performs the << operation. Read more
The resulting type after applying the << operator.
Performs the << operation. Read more
The resulting type after applying the << operator.
Performs the << operation. Read more
The resulting type after applying the << operator.
Performs the << operation. Read more

Perform elementwise left shift between references self and rhs, and return the result as a new Array.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the << operator.
Performs the << operation. Read more

Perform elementwise left shift between self and reference rhs, and return the result (based on self).

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the << operator.
Performs the << operation. Read more
The resulting type after applying the << operator.
Performs the << operation. Read more
The resulting type after applying the << operator.
Performs the << operation. Read more
The resulting type after applying the << operator.
Performs the << operation. Read more
The resulting type after applying the << operator.
Performs the << operation. Read more
The resulting type after applying the << operator.
Performs the << operation. Read more
The resulting type after applying the << operator.
Performs the << operation. Read more
The resulting type after applying the << operator.
Performs the << operation. Read more
The resulting type after applying the << operator.
Performs the << operation. Read more
The resulting type after applying the << operator.
Performs the << operation. Read more
The resulting type after applying the << operator.
Performs the << operation. Read more

Perform elementwise left shift between self and rhs, and return the result (based on self).

self must be an Array or ArcArray.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the << operator.
Performs the << operation. Read more

Perform elementwise left shift between the reference self and the scalar x, and return the result as a new Array.

The resulting type after applying the << operator.
Performs the << operation. Read more

Perform elementwise left shift between self and the scalar x, and return the result (based on self).

self must be an Array or ArcArray.

The resulting type after applying the << operator.
Performs the << operation. Read more

Perform self <<= rhs as elementwise left shift (in place). If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

Performs the <<= operation. Read more

Perform self <<= rhs as elementwise left shift (in place).

Performs the <<= operation. Read more
The resulting type after applying the >> operator.
Performs the >> operation. Read more
The resulting type after applying the >> operator.
Performs the >> operation. Read more
The resulting type after applying the >> operator.
Performs the >> operation. Read more
The resulting type after applying the >> operator.
Performs the >> operation. Read more
The resulting type after applying the >> operator.
Performs the >> operation. Read more
The resulting type after applying the >> operator.
Performs the >> operation. Read more
The resulting type after applying the >> operator.
Performs the >> operation. Read more
The resulting type after applying the >> operator.
Performs the >> operation. Read more
The resulting type after applying the >> operator.
Performs the >> operation. Read more
The resulting type after applying the >> operator.
Performs the >> operation. Read more

Perform elementwise right shift between references self and rhs, and return the result as a new Array.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the >> operator.
Performs the >> operation. Read more

Perform elementwise right shift between self and reference rhs, and return the result (based on self).

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the >> operator.
Performs the >> operation. Read more
The resulting type after applying the >> operator.
Performs the >> operation. Read more
The resulting type after applying the >> operator.
Performs the >> operation. Read more
The resulting type after applying the >> operator.
Performs the >> operation. Read more
The resulting type after applying the >> operator.
Performs the >> operation. Read more
The resulting type after applying the >> operator.
Performs the >> operation. Read more
The resulting type after applying the >> operator.
Performs the >> operation. Read more
The resulting type after applying the >> operator.
Performs the >> operation. Read more
The resulting type after applying the >> operator.
Performs the >> operation. Read more
The resulting type after applying the >> operator.
Performs the >> operation. Read more
The resulting type after applying the >> operator.
Performs the >> operation. Read more

Perform elementwise right shift between self and rhs, and return the result (based on self).

self must be an Array or ArcArray.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the >> operator.
Performs the >> operation. Read more

Perform elementwise right shift between the reference self and the scalar x, and return the result as a new Array.

The resulting type after applying the >> operator.
Performs the >> operation. Read more

Perform elementwise right shift between self and the scalar x, and return the result (based on self).

self must be an Array or ArcArray.

The resulting type after applying the >> operator.
Performs the >> operation. Read more

Perform self >>= rhs as elementwise right shift (in place). If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

Performs the >>= operation. Read more

Perform self >>= rhs as elementwise right shift (in place).

Performs the >>= operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more

Perform elementwise subtraction between references self and rhs, and return the result as a new Array.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the - operator.
Performs the - operation. Read more

Perform elementwise subtraction between self and reference rhs, and return the result (based on self).

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more

Perform elementwise subtraction between self and rhs, and return the result (based on self).

self must be an Array or ArcArray.

If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

The resulting type after applying the - operator.
Performs the - operation. Read more

Perform elementwise subtraction between the reference self and the scalar x, and return the result as a new Array.

The resulting type after applying the - operator.
Performs the - operation. Read more

Perform elementwise subtraction between self and the scalar x, and return the result (based on self).

self must be an Array or ArcArray.

The resulting type after applying the - operator.
Performs the - operation. Read more

Perform self -= rhs as elementwise subtraction (in place). If their shapes disagree, rhs is broadcast to the shape of self.

Panics if broadcasting isn’t possible.

Performs the -= operation. Read more

Perform self -= rhs as elementwise subtraction (in place).

Performs the -= operation. Read more

Format the array using UpperExp and apply the formatting parameters used to each element.

The array is shown in multiline style.

Formats the value using the given formatter.

ArrayBase is Send when the storage type is.

ArrayBase is Sync when the storage type is.

Auto Trait Implementations§

Blanket Implementations§

Gets the TypeId of self. Read more
Immutably borrows from an owned value. Read more
Mutably borrows from an owned value. Read more

Returns the argument unchanged.

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

The resulting type after obtaining ownership.
Creates owned data from borrowed data, usually by cloning. Read more
Uses borrowed data to replace owned data, usually by cloning. Read more
Converts the given value to a String. Read more
The type returned in the event of a conversion error.
Performs the conversion.
The type returned in the event of a conversion error.
Performs the conversion.