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
use std::cmp;

use crate::minhashes::KmerCount;

pub fn cardinality(sketch: &[KmerCount]) -> Result<u64, &'static str> {
    // Other (possibly more accurate) possibilities:
    // "hyper log-log" estimate from lowest value?
    // multiset distribution applied to total count number?
    // "AKMV" approach: http://people.mpi-inf.mpg.de/~rgemulla/publications/beyer07distinct.pdf

    // fast and simple k-minimum value estimate
    // https://research.neustar.biz/2012/07/09/sketch-of-the-day-k-minimum-values/
    if sketch.is_empty() {
        return Ok(0u64);
    }
    Ok(((sketch.len() - 1) as f32
        / (sketch.last().unwrap().hash as f32 / usize::max_value() as f32)) as u64)
}

/// Generates a Vec of numbers of kmers for each coverage level
///
/// For example, a size 1000 sketch of the same genome repeated 5 times (e.g. 5x coverage) should
/// produce a "histogram" like [0, 0, 0, 0, 1000] (assuming no repetative kmers in the genome)
///
pub fn hist(sketch: &[KmerCount]) -> Vec<u64> {
    let mut counts = vec![0u64; 65536];
    let mut max_count: u16 = 0;
    for kmer in sketch {
        max_count = cmp::max(max_count, kmer.count);
        counts[kmer.count as usize - 1] += 1;
    }
    counts.truncate(max_count as usize);
    counts
}

#[test]
fn test_hist() {
    let sketch = vec![
        KmerCount {
            hash: 1,
            kmer: vec![],
            count: 1,
            extra_count: 0,
        },
        KmerCount {
            hash: 2,
            kmer: vec![],
            count: 1,
            extra_count: 0,
        },
        KmerCount {
            hash: 3,
            kmer: vec![],
            count: 1,
            extra_count: 0,
        },
    ];

    let hist_data = hist(&sketch);
    assert_eq!(hist_data.len(), 1);
    assert_eq!(hist_data[0], 3);

    let sketch = vec![
        KmerCount {
            hash: 1,
            kmer: vec![],
            count: 4,
            extra_count: 0,
        },
        KmerCount {
            hash: 2,
            kmer: vec![],
            count: 2,
            extra_count: 0,
        },
        KmerCount {
            hash: 3,
            kmer: vec![],
            count: 4,
            extra_count: 0,
        },
        KmerCount {
            hash: 4,
            kmer: vec![],
            count: 3,
            extra_count: 0,
        },
    ];

    let hist_data = hist(&sketch);
    assert_eq!(hist_data.len(), 4);
    assert_eq!(hist_data[0], 0);
    assert_eq!(hist_data[1], 1);
    assert_eq!(hist_data[2], 1);
    assert_eq!(hist_data[3], 2);
}