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//! This crate implements the XFetch probabilistic early expiration algorithm.
//!
//! It can be used in conjunction with cache containers like LRU cache
//! to implement cache expiration and re-computation in parallel
//! environment like multi-thread / multi-process computing.
//!
//! It is very efficient because the algorithm does not need
//! coordination (no locks) between processes.
//!
//! # Examples
//!
//! Create a single cache entry and test it's expiration:
//!
//! ```rust
//! # struct SomeValue { value: u64, ttl: u64 };
//! # fn expensive_computation() -> SomeValue { SomeValue { value: 42, ttl: 10000 } }
//! use xfetch::CacheEntry;
//! use std::time::Duration;
//!
//! let entry = CacheEntry::builder(|| {
//! expensive_computation()
//! })
//! .with_ttl(|value| {
//! Duration::from_millis(value.ttl)
//! })
//! .build();
//!
//! assert!(!entry.is_expired());
//! ```
//!
//! The [CacheEntry](struct.CacheEntry.html) can be used with any cache library.
//! For example the `lru` crate:
//!
//! ```rust
//! use lru::LruCache;
//! use xfetch::CacheEntry;
//! use std::time::Duration;
//!
//! struct SomeValue {
//! value: u64,
//! ttl: u64
//! };
//!
//! fn recompute_value(n: u64) -> SomeValue {
//! SomeValue { value: n, ttl: 10000 }
//! }
//!
//! let mut cache = LruCache::new(2);
//!
//! cache.put("apple", CacheEntry::builder(|| recompute_value(3))
//! .with_ttl(|v| Duration::from_millis(v.ttl))
//! .build());
//! cache.put("banana", CacheEntry::builder(|| recompute_value(2))
//! .with_ttl(|v| Duration::from_millis(v.ttl))
//! .build());
//!
//! if let Some(entry) = cache.get(&"apple") {
//! if !entry.is_expired() {
//! assert_eq!(entry.get().value, 3);
//! } else {
//! cache.put("apple", CacheEntry::builder(|| recompute_value(3))
//! .with_ttl(|v| Duration::from_millis(v.ttl))
//! .build());
//! }
//! }
//! ```
//!
//! # The Algorithm
//!
//! Cascading failure can occur when massively parallel computing
//! systems with caching mechanisms come under very high load.
//!
//! Under normal load, cache misses will trigger a recomputation to refresh the
//! cache. Other process or thread can continue as before.
//!
//! Under heavy load, cache misses may trigger multipre process / threads trying
//! to refresh content thus add more loading to the resource source which the
//! cache was meant to reduce the loading.
//!
//! Several approaches can be used to mitigate this issue. The algorithm
//! used here is proposed by Vattani, A.; Chierichetti, F.; Lowenstein, K.
//! (2015) in the paper [Optimal Probabilistic Cache Stampede Prevention][vldb].
//!
//! The idea is any worker can volunteer to recompute the value before it
//! expires. With a probability that increases when the cache entry approaches
//! expiration, each worker may recompute the cache by making an independent
//! decision. The effect of the cache stampede is mitigated as fewer workers
//! will expire at the same time.
//!
//! The following is the algorithm pseudo code:
//!
//! ```ignore
//! function XFetch(key, ttl; beta = 1)
//! value, delta, expiry <- cache_read(key)
//! if !value or time() - delta * beta * ln(rand()) >= expiry then
//! start <- time()
//! value <- recompute_value()
//! delta <- time() - start
//! cache_write(key, (value, delta), ttl)
//! end
//! return value
//! end
//! ```
//!
//! # Parameters
//!
//! The parameter **beta** can be set to greater than `1.0` to favor earlier
//! recomputation or lesser to favor later. The default `1.0` is optimal for
//! most use cases.
//!
//! `rand()` is a random number in the range (0, 1].
//!
//! **delta** is the time required for the recomputation. If it takes longer to
//! recompute then the algorithm will also favor earlier recomputation.
//!
//! # References
//!
//! - Wikipedia [Cache Stampede][wikipedia].
//! - Vattani, A.; Chierichetti, F.; Lowenstein, K. (2015), [Optimal
//! Probabilistic Cache Stampede Prevention][vldb] (PDF), 8 (8), VLDB, pp. 886–897,
//! ISSN 2150-8097.
//! - Jim Nelson, Internet Archive, [RedisConf17 - Preventing cache stampede with Redis & XFetch][archive].
//!
//! [vldb]: http://www.vldb.org/pvldb/vol8/p886-vattani.pdf
//! [wikipedia]: https://en.wikipedia.org/wiki/Cache_stampede
//! [archive]: https://www.slideshare.net/RedisLabs/redisconf17-internet-archive-preventing-cache-stampede-with-redis-and-xfetch
use ;
use ;
const DEFAULT_BETA: f32 = 1.0;
/// The builder for building [CacheEntry](struct.CacheEntry.html) with
/// supplied parameters.
/// A cache entry that employs probabilistic early expiration
///
/// # Examples
///
/// In this example, you can see how to create a new cache entry. The value of
/// the entry is passed in as a closure so the time required for recomputation
/// can be measured. The time to expiration can be set by chaining the
/// [`with_ttl()`](struct.CacheEntryBuilder.html#method.with_ttl) method.
///
/// ```
/// use std::time::Duration;
/// use xfetch::CacheEntry;
///
/// let entry = CacheEntry::builder(|| 42)
/// .with_ttl(|_| Duration::from_secs(10))
/// .build();
/// ```
///
/// See the [module-level documentation](index.html) for more information.