Struct rand::distributions::WeightedIndex

pub struct WeightedIndex<X: SampleUniform + PartialOrd> {
    cumulative_weights: Vec<X>,
    total_weight: X,
    weight_distribution: X::Sampler,
}

A distribution using weighted sampling of discrete items

Sampling a WeightedIndex distribution returns the index of a randomly selected element from the iterator used when the WeightedIndex was created. The chance of a given element being picked is proportional to the value of the element. The weights can use any type X for which an implementation of Uniform<X> exists.

Performance

Time complexity of sampling from WeightedIndex is O(log N) where N is the number of weights. As an alternative, rand_distr::weighted_alias supports O(1) sampling, but with much higher initialisation cost.

A WeightedIndex<X> contains a Vec<X> and a Uniform<X> and so its size is the sum of the size of those objects, possibly plus some alignment.

Creating a WeightedIndex<X> will allocate enough space to hold N - 1 weights of type X, where N is the number of weights. However, since Vec doesn’t guarantee a particular growth strategy, additional memory might be allocated but not used. Since the WeightedIndex object also contains, this might cause additional allocations, though for primitive types, Uniform<X> doesn’t allocate any memory.

Sampling from WeightedIndex will result in a single call to Uniform<X>::sample (method of the Distribution trait), which typically will request a single value from the underlying RngCore, though the exact number depends on the implementation of Uniform<X>::sample.

Example

use rand::prelude::*;
use rand::distributions::WeightedIndex;

let choices = ['a', 'b', 'c'];
let weights = [2,   1,   1];
let dist = WeightedIndex::new(&weights).unwrap();
let mut rng = thread_rng();
for _ in 0..100 {
    // 50% chance to print 'a', 25% chance to print 'b', 25% chance to print 'c'
    println!("{}", choices[dist.sample(&mut rng)]);
}

let items = [('a', 0), ('b', 3), ('c', 7)];
let dist2 = WeightedIndex::new(items.iter().map(|item| item.1)).unwrap();
for _ in 0..100 {
    // 0% chance to print 'a', 30% chance to print 'b', 70% chance to print 'c'
    println!("{}", items[dist2.sample(&mut rng)].0);
}

Fields

cumulative_weights: Vec<X>

total_weight: X

weight_distribution: X::Sampler

Implementations

impl<X: SampleUniform + PartialOrd> WeightedIndex<X>

pub fn new<I>(weights: I) -> Result<WeightedIndex<X>, WeightedError>

where I: IntoIterator, I::Item: SampleBorrow<X>, X: for<'a> AddAssign<&'a X> + Clone + Default,

Creates a new a WeightedIndex Distribution using the values in weights. The weights can use any type X for which an implementation of Uniform<X> exists.

Returns an error if the iterator is empty, if any weight is < 0, or if its total value is 0.

pub fn update_weights( &mut self, new_weights: &[(usize, &X)], ) -> Result<(), WeightedError>

where X: for<'a> AddAssign<&'a X> + for<'a> SubAssign<&'a X> + Clone + Default,

Update a subset of weights, without changing the number of weights.

new_weights must be sorted by the index.

Using this method instead of new might be more efficient if only a small number of weights is modified. No allocations are performed, unless the weight type X uses allocation internally.

In case of error, self is not modified.

Trait Implementations

impl<X: Clone + SampleUniform + PartialOrd> Clone for WeightedIndex<X>

where X::Sampler: Clone,

fn clone(&self) -> WeightedIndex<X>

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl<X: Debug + SampleUniform + PartialOrd> Debug for WeightedIndex<X>

where X::Sampler: Debug,

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl<X> Distribution<usize> for WeightedIndex<X>

where X: SampleUniform + PartialOrd,

fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> usize

Generate a random value of T, using rng as the source of randomness.

fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T>

where R: Rng, Self: Sized,

Create an iterator that generates random values of T, using rng as the source of randomness.

fn map<F, S>(self, func: F) -> DistMap<Self, F, T, S>

where F: Fn(T) -> S, Self: Sized,

Create a distribution of values of ‘S’ by mapping the output of Self through the closure F

impl<X: PartialEq + SampleUniform + PartialOrd> PartialEq for WeightedIndex<X>

where X::Sampler: PartialEq,

fn eq(&self, other: &WeightedIndex<X>) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl<X: SampleUniform + PartialOrd> StructuralPartialEq for WeightedIndex<X>