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
#[derive(Debug, Clone, PartialEq)]
pub enum SimilarityModel {
    TfIdf,
    Bm25{k1: f64, b: f64},
}


/// tf(term_frequency) = log(term_frequency + 1.0) + 1.0
#[inline]
fn tf(term_frequency: u32) -> f64 {
    (term_frequency as f64 + 1.0f64).ln() + 1.0
}


/// idf(term_docs, total_docs) = log((total_docs + 1.0) / (term_docs + 1.0)) + 1.0
#[inline]
fn idf(term_docs: u64, total_docs: u64) -> f64 {
    ((total_docs as f64 + 1.0) / (term_docs as f64 + 1.0)).ln() + 1.0
}


impl SimilarityModel {
    pub fn score(&self, term_frequency: u32, length: f64, total_tokens: u64, total_docs: u64, total_docs_with_term: u64) -> f64 {
        match *self {
            SimilarityModel::TfIdf => {
                let tf = tf(term_frequency);
                let idf = idf(total_docs_with_term, total_docs);

                tf * idf
            }
            SimilarityModel::Bm25{k1, b} => {
                let tf = tf(term_frequency);
                let idf = idf(total_docs_with_term, total_docs);
                let average_length = (total_tokens as f64 + 1.0f64) / (total_docs as f64 + 1.0f64);

                idf * (k1 + 1.0) * (tf / (tf + (k1 * ((1.0 - b) + b * length.sqrt() / average_length.sqrt())) + 1.0f64))
            }
        }
    }
}


#[cfg(test)]
mod tests {
    use super::SimilarityModel;

    #[test]
    fn test_tf_idf_higher_term_freq_increases_score() {
        let similarity = SimilarityModel::TfIdf;

        assert!(similarity.score(2, 40.0, 100, 10, 5) > similarity.score(1, 40.0, 100, 10, 5));
    }

    #[test]
    fn test_tf_idf_lower_term_docs_increases_score() {
        let similarity = SimilarityModel::TfIdf;

        assert!(similarity.score(1, 40.0, 100, 10, 5) > similarity.score(1, 40.0, 100, 10, 10));
    }

    #[test]
    fn test_tf_idf_field_length_doesnt_affect_score() {
        let similarity = SimilarityModel::TfIdf;

        assert!(similarity.score(1, 100.0, 100, 20, 5) == similarity.score(1, 40.0, 100, 20, 5));
    }

    #[test]
    fn test_tf_idf_total_tokens_doesnt_affect_score() {
        let similarity = SimilarityModel::TfIdf;

        assert!(similarity.score(1, 40.0, 1000, 20, 5) == similarity.score(1, 40.0, 100, 20, 5));
    }

    #[test]
    fn test_tf_idf_handles_zeros() {
        let similarity = SimilarityModel::TfIdf;

        assert!(similarity.score(0, 0.0, 0, 0, 0).is_finite());
    }

    #[test]
    fn test_bm25_higher_term_freq_increases_score() {
        let similarity = SimilarityModel::Bm25 {
            k1: 1.2,
            b: 0.75,
        };

        assert!(similarity.score(2, 40.0, 100, 10, 5) > similarity.score(1, 40.0, 100, 10, 5));
    }

    #[test]
    fn test_bm25_lower_term_docs_increases_score() {
        let similarity = SimilarityModel::Bm25 {
            k1: 1.2,
            b: 0.75,
        };

        assert!(similarity.score(1, 40.0, 100, 10, 5) > similarity.score(1, 40.0, 100, 10, 10));
    }

    #[test]
    fn test_bm25_lower_field_length_increases_score() {
        let similarity = SimilarityModel::Bm25 {
            k1: 1.2,
            b: 0.75,
        };

        assert!(similarity.score(1, 40.0, 100, 20, 5) > similarity.score(1, 100.0, 100, 20, 5));
    }

    #[test]
    fn test_bm25_higher_total_tokens_increases_score() {
        let similarity = SimilarityModel::Bm25 {
            k1: 1.2,
            b: 0.75,
        };

        assert!(similarity.score(1, 40.0, 1000, 20, 5) > similarity.score(1, 40.0, 100, 20, 5));
    }

    #[test]
    fn test_bm25_handles_zeros() {
        let similarity = SimilarityModel::Bm25 {
            k1: 0.0,
            b: 0.0,
        };

        assert!(similarity.score(0, 0.0, 0, 0, 0).is_finite());
    }
}