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
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
//! Provides the `Dataset` trait and an implementation for a vector of data.
mod instance;
mod vec2d;
pub use instance::Instance;
#[allow(clippy::module_name_repetitions)]
pub use vec2d::VecDataset;
use core::ops::Index;
use std::path::Path;
use distances::Number;
use rand::prelude::*;
/// A common interface for datasets used in CLAM.
pub trait Dataset<I: Instance, U: Number>: Index<usize, Output = I> + Send + Sync {
/// Returns the name of the type of the dataset.
fn type_name(&self) -> String;
/// Returns the name of the dataset. This is used to identify the dataset in
/// various places.
fn name(&self) -> &str;
/// Returns the number of instances in the dataset.
fn cardinality(&self) -> usize;
/// Whether or not the metric is expensive to calculate.
///
/// If the metric is expensive to calculate, CLAM will enable more parallelism
/// when calculating distances.
fn is_metric_expensive(&self) -> bool;
/// Returns the metric used to calculate distances between instances.
///
/// A metric should obey the following properties:
///
/// * Identity: `d(x, y) = 0 <=> x = y`
/// * Non-negativity: `d(x, y) >= 0`
/// * Symmetry: `d(x, y) = d(y, x)`
///
/// If the metric also obeys the triangle inequality, `d(x, z) <= d(x, y) + d(y, z)`,
/// then CLAM can make certain guarantees about the exactness of search results.
fn metric(&self) -> fn(&I, &I) -> U;
/// Reorders the internal order of instances by a given permutation of indices.
///
/// # Arguments
///
/// * `permutation` - A permutation of indices in the dataset.
///
/// # Errors
///
/// * If any of the indices in `permutation` are invalid indices in the dataset.
fn permute_instances(&mut self, permutation: &[usize]) -> Result<(), String>;
/// Returns the permutation of indices that was used to reorder the dataset.
///
/// # Returns
///
/// * Some if the dataset was permuted.
/// * None otherwise.
fn permuted_indices(&self) -> Option<&[usize]>;
/// Get the index before the dataset was reordered. If the dataset was not
/// reordered, this is the identity function.
fn original_index(&self, index: usize) -> usize {
self.permuted_indices().map_or(index, |indices| indices[index])
}
/// Calculates the distance between two indexed instances in the dataset.
///
/// # Arguments
///
/// * `left` - An index in the dataset.
/// * `right` - An index in the dataset.
///
/// # Returns
///
/// The distance between the instances at `left` and `right`.
fn one_to_one(&self, left: usize, right: usize) -> U {
self.metric()(&self[left], &self[right])
}
/// Returns whether or not two indexed instances in the dataset are equal.
///
/// As per the definition of a metric, this should return `true` if and only if
/// the distance between the two instances is zero.
///
/// # Arguments
///
/// * `left` - An index in the dataset
/// * `right` - An index in the dataset
///
/// # Returns
///
/// `true` if the instances are equal, `false` otherwise
fn are_instances_equal(&self, left: usize, right: usize) -> bool {
self.one_to_one(left, right) == U::zero()
}
/// Returns a vector of distances.
///
/// # Arguments
///
/// * `left` - An index in the dataset
/// * `right` - A slice of indices in the dataset
///
/// # Returns
///
/// A vector of distances between the instance at `left` and all instances at `right`
fn one_to_many(&self, left: usize, right: &[usize]) -> Vec<U> {
right.iter().map(|&r| self.one_to_one(left, r)).collect()
}
/// Returns a vector of vectors of distances.
///
/// # Arguments
///
/// * `left` - A slice of indices in the dataset.
/// * `right` - A slice of indices in the dataset.
///
/// # Returns
///
/// A vector of vectors of distances between the instances at `left` and all instances at `right`
fn many_to_many(&self, left: &[usize], right: &[usize]) -> Vec<Vec<U>> {
left.iter().map(|&l| self.one_to_many(l, right)).collect()
}
/// Returns a vector of distances between all pairs of indexed instances.
///
/// # Arguments
///
/// * `indices` - A slice of indices in the dataset.
///
/// # Returns
///
/// A vector of vectors of distances between all pairs of instances at `indices`
fn pairwise(&self, indices: &[usize]) -> Vec<Vec<U>> {
// TODO: Don't repeat the work of having to calculate the metric twice
// for each pair.
self.many_to_many(indices, indices)
}
/// Calculates the distance between a query and an indexed instance in the dataset.
///
/// # Arguments
///
/// * `query` - A query instance
/// * `index` - An index in the dataset
///
/// # Returns
///
/// The distance between the query and the instance at `index`
fn query_to_one(&self, query: &I, index: usize) -> U {
self.metric()(query, &self[index])
}
/// Returns a vector of distances between a query and all indexed instances.
///
/// # Arguments
///
/// * `query` - A query instance.
/// * `indices` - A slice of indices in the dataset.
///
/// # Returns
///
/// A vector of distances between the query and all instances at `indices`
fn query_to_many(&self, query: &I, indices: &[usize]) -> Vec<U> {
indices.iter().map(|&index| self.query_to_one(query, index)).collect()
}
/// Chooses a subset of indices that are unique with respect to the metric.
///
/// # Arguments
///
/// * `n` - The number of unique indices to choose.
/// * `indices` - A slice of indices in the dataset from which to choose.
/// * `seed` - An optional seed for the random number generator.
///
/// # Returns
///
/// A vector of indices that are unique with respect to the metric. All indices
/// in the vector are such that no two instances are equal.
fn choose_unique(&self, n: usize, indices: &[usize], seed: Option<u64>) -> Vec<usize> {
let n = if n < indices.len() { n } else { indices.len() };
let indices = {
let mut indices = indices.to_vec();
if let Some(seed) = seed {
indices.shuffle(&mut rand::rngs::StdRng::seed_from_u64(seed));
} else {
indices.shuffle(&mut rand::thread_rng());
}
indices
};
let mut chosen = Vec::new();
for i in indices {
let is_old = chosen.iter().any(|&o| self.are_instances_equal(i, o));
if !is_old {
chosen.push(i);
}
if chosen.len() == n {
break;
}
}
chosen
}
/// Calculates the geometric median of a set of indexed instances. Returns
/// a value from the set of indices that is the index of the median in the
/// dataset.
///
/// Note: This default implementation does not scale well to arbitrarily large inputs.
///
/// # Arguments
///
/// `indices` - A subset of indices from the dataset
///
/// # Panics
///
/// * If `indices` is empty.
///
/// # Returns
///
/// * The index of the median in the dataset, if `indices` is not empty.
/// * `None`, if `indices` is empty.
fn median(&self, indices: &[usize]) -> Option<usize> {
// TODO: Refactor this to scale for arbitrarily large n
let distances = self
.pairwise(indices)
.into_iter()
// TODO: Bench using .max instead of .sum
// .map(|v| v.into_iter().max_by(|l, r| l.partial_cmp(r).unwrap()).unwrap())
.map(|v| v.into_iter().sum::<U>())
.collect::<Vec<_>>();
crate::utils::arg_min(&distances).map(|(i, _)| indices[i])
}
/// Makes a vector of sharded datasets from the given dataset.
///
/// Each shard will be a random subset of the dataset, and will have a
/// cardinality of at most `max_cardinality`. The shards will be disjoint
/// subsets of the dataset.
///
/// # Arguments
///
/// * `max_cardinality` - The maximum cardinality of each shard.
fn make_shards(self, max_cardinality: usize) -> Vec<Self>
where
Self: Sized;
/// Saves the dataset to a file.
///
/// # Arguments
///
/// * `path` - The path to the file to save the dataset to.
///
/// # Errors
///
/// * If the dataset cannot be saved to the given path.
fn save(&self, path: &Path) -> Result<(), String>;
/// Loads a dataset from a file.
///
/// # Arguments
///
/// * `path` - The path to the file to load the dataset from.
/// * `metric` - The metric to use for the dataset.
/// * `is_expensive` - Whether or not the metric is expensive to calculate.
///
/// # Errors
///
/// * If the dataset cannot be loaded from the given path.
/// * If the dataset is not the same type as the one that was saved.
/// * If the file was corrupted.
fn load(path: &Path, metric: fn(&I, &I) -> U, is_expensive: bool) -> Result<Self, String>
where
Self: Sized;
}