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
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
use ;
/// # Backend
///
/// Core trait that must be implemented by any tensor backend that supports batching operations.
///
/// This trait defines the minimum set of operations required for a tensor implementation
/// to be compatible with the library. A Backend represents an n-dimensional tensor with
/// basic shape manipulation and transformation capabilities.
///
/// ## Requirements
///
/// The implementing type must also satisfy the following traits:
/// - `Debug`: For debugging output
/// - `Display`: For string representation
/// - `Clone`: For creating copies of tensors
/// - `Send` and `Sync`: For safe concurrent access across threads
/// - `'static`: No borrowed references in the type
///
/// ## Implementation Note
///
/// When implementing this trait, ensure all operations maintain dimension
/// consistency appropriate for tensor operations, particularly when operating
/// across dimensions.
/// # Unsqueezeable
///
/// Trait for tensors that can be "unsqueezed" to add a dimension.
///
/// ## Purpose
///
/// This trait exists to handle the common tensor operation of adding a dimension
/// of size 1, which increases the rank of the tensor. It's separated from the
/// main `Backend` trait to avoid infinite recursion in implementations that use
/// const generics to track tensor dimensions.
///
/// ## Background
///
/// For backends using const generics (like those with types such as `Tensor<N>` where
/// `N` is the rank/dimensionality), implementing unsqueeze operations directly in the
/// `Backend` trait would require the implementing type to handle an unbounded range
/// of ranks, which isn't possible with const generics.
///
/// The pattern used here allows backends to implement `Backend` for tensors up to some
/// reasonable maximum rank (e.g., rank 10), and implement `LowerRankedTensorOps` for
/// ranks 0 through 9, ensuring type safety while supporting unsqueeze operations.