1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155

//! Type aliases for common array sizes
//!

use crate::dimension::Dim;
use crate::{ArcArray, Array, ArrayView, ArrayViewMut, Ix, IxDynImpl};

/// Create a zero-dimensional index
#[allow(non_snake_case)]
#[inline(always)]
pub fn Ix0() -> Ix0 {
    Dim::new([])
}
/// Create a one-dimensional index
#[allow(non_snake_case)]
#[inline(always)]
pub fn Ix1(i0: Ix) -> Ix1 {
    Dim::new([i0])
}
/// Create a two-dimensional index
#[allow(non_snake_case)]
#[inline(always)]
pub fn Ix2(i0: Ix, i1: Ix) -> Ix2 {
    Dim::new([i0, i1])
}
/// Create a three-dimensional index
#[allow(non_snake_case)]
#[inline(always)]
pub fn Ix3(i0: Ix, i1: Ix, i2: Ix) -> Ix3 {
    Dim::new([i0, i1, i2])
}
/// Create a four-dimensional index
#[allow(non_snake_case)]
#[inline(always)]
pub fn Ix4(i0: Ix, i1: Ix, i2: Ix, i3: Ix) -> Ix4 {
    Dim::new([i0, i1, i2, i3])
}
/// Create a five-dimensional index
#[allow(non_snake_case)]
#[inline(always)]
pub fn Ix5(i0: Ix, i1: Ix, i2: Ix, i3: Ix, i4: Ix) -> Ix5 {
    Dim::new([i0, i1, i2, i3, i4])
}
/// Create a six-dimensional index
#[allow(non_snake_case)]
#[inline(always)]
pub fn Ix6(i0: Ix, i1: Ix, i2: Ix, i3: Ix, i4: Ix, i5: Ix) -> Ix6 {
    Dim::new([i0, i1, i2, i3, i4, i5])
}

/// Create a dynamic-dimensional index
#[allow(non_snake_case)]
#[inline(always)]
pub fn IxDyn(ix: &[Ix]) -> IxDyn {
    Dim(ix)
}

/// zero-dimensionial
pub type Ix0 = Dim<[Ix; 0]>;
/// one-dimensional
pub type Ix1 = Dim<[Ix; 1]>;
/// two-dimensional
pub type Ix2 = Dim<[Ix; 2]>;
/// three-dimensional
pub type Ix3 = Dim<[Ix; 3]>;
/// four-dimensional
pub type Ix4 = Dim<[Ix; 4]>;
/// five-dimensional
pub type Ix5 = Dim<[Ix; 5]>;
/// six-dimensional
pub type Ix6 = Dim<[Ix; 6]>;
/// dynamic-dimensional
///
/// You can use the `IxDyn` function to create a dimension for an array with
/// dynamic number of dimensions.  (`Vec<usize>` and `&[usize]` also implement
/// `IntoDimension` to produce `IxDyn`).
///
/// ```
/// use ndarray::ArrayD;
/// use ndarray::IxDyn;
///
/// // Create a 5 × 6 × 3 × 4 array using the dynamic dimension type
/// let mut a = ArrayD::<f64>::zeros(IxDyn(&[5, 6, 3, 4]));
/// // Create a 1 × 3 × 4 array using the dynamic dimension type
/// let mut b = ArrayD::<f64>::zeros(IxDyn(&[1, 3, 4]));
///
/// // We can use broadcasting to add arrays of compatible shapes together:
/// a += &b;
///
/// // We can index into a, b using fixed size arrays:
/// a[[0, 0, 0, 0]] = 0.;
/// b[[0, 2, 3]] = a[[0, 0, 2, 3]];
/// // Note: indexing will panic at runtime if the number of indices given does
/// // not match the array.
///
/// // We can keep them in the same vector because both the arrays have
/// // the same type `Array<f64, IxDyn>` a.k.a `ArrayD<f64>`:
/// let arrays = vec![a, b];
/// ```
pub type IxDyn = Dim<IxDynImpl>;

/// zero-dimensional array
pub type Array0<A> = Array<A, Ix0>;
/// one-dimensional array
pub type Array1<A> = Array<A, Ix1>;
/// two-dimensional array
pub type Array2<A> = Array<A, Ix2>;
/// three-dimensional array
pub type Array3<A> = Array<A, Ix3>;
/// four-dimensional array
pub type Array4<A> = Array<A, Ix4>;
/// five-dimensional array
pub type Array5<A> = Array<A, Ix5>;
/// six-dimensional array
pub type Array6<A> = Array<A, Ix6>;
/// dynamic-dimensional array
pub type ArrayD<A> = Array<A, IxDyn>;

/// zero-dimensional array view
pub type ArrayView0<'a, A> = ArrayView<'a, A, Ix0>;
/// one-dimensional array view
pub type ArrayView1<'a, A> = ArrayView<'a, A, Ix1>;
/// two-dimensional array view
pub type ArrayView2<'a, A> = ArrayView<'a, A, Ix2>;
/// three-dimensional array view
pub type ArrayView3<'a, A> = ArrayView<'a, A, Ix3>;
/// four-dimensional array view
pub type ArrayView4<'a, A> = ArrayView<'a, A, Ix4>;
/// five-dimensional array view
pub type ArrayView5<'a, A> = ArrayView<'a, A, Ix5>;
/// six-dimensional array view
pub type ArrayView6<'a, A> = ArrayView<'a, A, Ix6>;
/// dynamic-dimensional array view
pub type ArrayViewD<'a, A> = ArrayView<'a, A, IxDyn>;

/// zero-dimensional read-write array view
pub type ArrayViewMut0<'a, A> = ArrayViewMut<'a, A, Ix0>;
/// one-dimensional read-write array view
pub type ArrayViewMut1<'a, A> = ArrayViewMut<'a, A, Ix1>;
/// two-dimensional read-write array view
pub type ArrayViewMut2<'a, A> = ArrayViewMut<'a, A, Ix2>;
/// three-dimensional read-write array view
pub type ArrayViewMut3<'a, A> = ArrayViewMut<'a, A, Ix3>;
/// four-dimensional read-write array view
pub type ArrayViewMut4<'a, A> = ArrayViewMut<'a, A, Ix4>;
/// five-dimensional read-write array view
pub type ArrayViewMut5<'a, A> = ArrayViewMut<'a, A, Ix5>;
/// six-dimensional read-write array view
pub type ArrayViewMut6<'a, A> = ArrayViewMut<'a, A, Ix6>;
/// dynamic-dimensional read-write array view
pub type ArrayViewMutD<'a, A> = ArrayViewMut<'a, A, IxDyn>;

/// one-dimensional shared ownership array
pub type ArcArray1<A> = ArcArray<A, Ix1>;
/// two-dimensional shared ownership array
pub type ArcArray2<A> = ArcArray<A, Ix2>;