ddsketch/canonical/mapping/mod.rs
1//! Index mapping.
2
3use datadog_protos::sketches::{index_mapping::Interpolation, IndexMapping as ProtoIndexMapping};
4
5use super::error::ProtoConversionError;
6
7mod fixed;
8pub use self::fixed::FixedLogarithmicMapping;
9
10mod logarithmic;
11pub use self::logarithmic::LogarithmicMapping;
12
13/// Maps values to bin indices and vice versa.
14///
15/// The mapping defines the relationship between floating-point values and integer bin indices, determining the relative
16/// accuracy of the sketch.
17pub trait IndexMapping: Clone + Send + Sync {
18 /// Returns the index of the bin for the given positive value.
19 ///
20 /// The value must be positive. For negative values, use the index of the absolute value and store in the negative
21 /// store.
22 fn index(&self, value: f64) -> i32;
23
24 /// Returns the representative value for the given index.
25 ///
26 /// This is typically the geometric mean of the bin's lower and upper bounds.
27 fn value(&self, index: i32) -> f64;
28
29 /// Returns the lower bound of the bin at the given index.
30 fn lower_bound(&self, index: i32) -> f64;
31
32 /// Returns the relative accuracy of this mapping.
33 ///
34 /// The relative accuracy is the maximum relative error guaranteed for any quantile query.
35 fn relative_accuracy(&self) -> f64;
36
37 /// Returns the minimum positive value that can be indexed.
38 fn min_indexable_value(&self) -> f64;
39
40 /// Returns the maximum positive value that can be indexed.
41 fn max_indexable_value(&self) -> f64;
42
43 /// Returns the gamma value (base of the logarithm) for this mapping.
44 fn gamma(&self) -> f64;
45
46 /// Returns the index offset used by this mapping.
47 ///
48 /// The index offset shifts all bin indices by a constant value.
49 fn index_offset(&self) -> f64;
50
51 /// Returns the interpolation mode used by this mapping.
52 ///
53 /// The interpolation mode determines how the logarithm is approximated.
54 fn interpolation(&self) -> Interpolation;
55
56 /// Validates that a protobuf `IndexMapping` is compatible with this mapping.
57 ///
58 /// # Errors
59 ///
60 /// If the given protobuf mapping parameters don't match this mapping's configuration, an error describing the
61 /// mismatch is returned.
62 fn validate_proto_mapping(&self, proto: &ProtoIndexMapping) -> Result<(), ProtoConversionError>;
63
64 /// Converts this mapping to a protobuf `IndexMapping`.
65 fn to_proto(&self) -> ProtoIndexMapping;
66}
67
68#[cfg(test)]
69pub(crate) mod conformance {
70 use super::IndexMapping;
71
72 /// Asserts the shared [`IndexMapping`] contract that every mapping implementation must satisfy.
73 ///
74 /// Rather than hand-duplicate the index/value round-trip, bound-ordering, and protobuf self-validation checks
75 /// across each sibling mapping's tests, both implementations call this helper. Constructor-specific behavior
76 /// (accuracy-bound validation, zero-sizedness, cross-implementation agreement) is still tested inline.
77 ///
78 /// `expected_relative_accuracy` is the accuracy the mapping is configured for; it's checked both directly and for
79 /// internal consistency with the mapping's gamma (`alpha = (gamma - 1) / (gamma + 1)`).
80 #[track_caller]
81 pub(crate) fn assert_index_mapping_conformance<M: IndexMapping>(mapping: &M, expected_relative_accuracy: f64) {
82 assert!(
83 (mapping.relative_accuracy() - expected_relative_accuracy).abs() < 1e-10,
84 "relative accuracy {} should match expected {}",
85 mapping.relative_accuracy(),
86 expected_relative_accuracy
87 );
88
89 let gamma = mapping.gamma();
90 let derived_accuracy = (gamma - 1.0) / (gamma + 1.0);
91 assert!(
92 (mapping.relative_accuracy() - derived_accuracy).abs() < 1e-10,
93 "relative accuracy {} should be consistent with gamma {} (derived {})",
94 mapping.relative_accuracy(),
95 gamma,
96 derived_accuracy
97 );
98
99 for i in -100..100 {
100 // The representative value must sit strictly above the bin's lower bound.
101 let lower = mapping.lower_bound(i);
102 let value = mapping.value(i);
103 assert!(
104 lower < value,
105 "lower bound {} should be < value {} at index {}",
106 lower,
107 value,
108 i
109 );
110
111 // Mapping an index to its value and back must recover the index (within one bin, due to floating-point).
112 let recovered = mapping.index(value);
113 assert!(
114 (recovered - i).abs() <= 1,
115 "index {} -> value {} -> index {} should round-trip within one bin",
116 i,
117 value,
118 recovered
119 );
120 }
121
122 // A mapping must accept its own protobuf representation.
123 assert!(
124 mapping.validate_proto_mapping(&mapping.to_proto()).is_ok(),
125 "mapping should validate its own protobuf representation"
126 );
127 }
128}