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// Copyright 2018 Developers of the Rand project. // // Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or // https://www.apache.org/licenses/LICENSE-2.0> or the MIT license // <LICENSE-MIT or https://opensource.org/licenses/MIT>, at your // option. This file may not be copied, modified, or distributed // except according to those terms. // // Based on jitterentropy-library, http://www.chronox.de/jent.html. // Copyright Stephan Mueller <smueller@chronox.de>, 2014 - 2017. // // With permission from Stephan Mueller to relicense the Rust translation under // the MIT license. //! Non-physical true random number generator based on timing jitter. //! //! This is a true random number generator, as opposed to pseudo-random //! generators. Random numbers generated by `JitterRng` can be seen as fresh //! entropy. A consequence is that it is orders of magnitude slower than `OsRng` //! and PRNGs (about 10<sup>3</sup>..10<sup>6</sup> slower). //! //! There are very few situations where using this RNG is appropriate. Only very //! few applications require true entropy. A normal PRNG can be statistically //! indistinguishable, and a cryptographic PRNG should also be as impossible to //! predict. //! //! Use of `JitterRng` is recommended for initializing cryptographic PRNGs when //! `OsRng` is not available. //! //! `JitterRng` can be used without the standard library, but not conveniently, //! you must provide a high-precision timer and carefully have to follow the //! instructions of [`JitterRng::new_with_timer`]. //! //! This implementation is based on [Jitterentropy] version 2.1.0. //! //! Note: There is no accurate timer available on WASM platforms, to help //! prevent fingerprinting or timing side-channel attacks. Therefore //! [`JitterRng::new()`] is not available on WASM. It is also unavailable //! with disabled `std` feature. //! //! [Jitterentropy]: http://www.chronox.de/jent.html #![doc(html_logo_url = "https://www.rust-lang.org/logos/rust-logo-128x128-blk.png", html_favicon_url = "https://www.rust-lang.org/favicon.ico", html_root_url = "https://rust-random.github.io/rand/")] #![deny(missing_docs)] #![deny(missing_debug_implementations)] #![doc(test(attr(allow(unused_variables), deny(warnings))))] // Note: the C implementation of `Jitterentropy` relies on being compiled // without optimizations. This implementation goes through lengths to make the // compiler not optimize out code which does influence timing jitter, but is // technically dead code. #![no_std] pub extern crate rand_core; #[cfg(feature = "std")] extern crate std; #[cfg(feature = "log")] #[macro_use] extern crate log; #[cfg(any(target_os = "macos", target_os = "ios"))] extern crate libc; #[cfg(target_os = "windows")] extern crate winapi; #[cfg(not(feature = "log"))] #[macro_use] mod dummy_log; #[cfg(feature = "std")] mod platform; mod error; use rand_core::{RngCore, CryptoRng, Error, impls}; pub use error::TimerError; use core::{fmt, mem, ptr}; #[cfg(feature = "std")] use std::sync::atomic::{AtomicUsize, Ordering}; #[cfg(feature = "std")] #[allow(deprecated)] // Required for compatibility with Rust < 1.24. use std::sync::atomic::ATOMIC_USIZE_INIT; const MEMORY_BLOCKS: usize = 64; const MEMORY_BLOCKSIZE: usize = 32; const MEMORY_SIZE: usize = MEMORY_BLOCKS * MEMORY_BLOCKSIZE; /// A true random number generator based on jitter in the CPU execution time, /// and jitter in memory access time. pub struct JitterRng { data: u64, // Actual random number // Number of rounds to run the entropy collector per 64 bits rounds: u8, // Timer used by `measure_jitter` timer: fn() -> u64, // Memory for the Memory Access noise source mem_prev_index: u16, // Make `next_u32` not waste 32 bits data_half_used: bool, } // Note: `JitterRng` maintains a small 64-bit entropy pool. With every // `generate` 64 new bits should be integrated in the pool. If a round of // `generate` were to collect less than the expected 64 bit, then the returned // value, and the new state of the entropy pool, would be in some way related to // the initial state. It is therefore better if the initial state of the entropy // pool is different on each call to `generate`. This has a few implications: // - `generate` should be called once before using `JitterRng` to produce the // first usable value (this is done by default in `new`); // - We do not zero the entropy pool after generating a result. The reference // implementation also does not support zeroing, but recommends generating a // new value without using it if you want to protect a previously generated // 'secret' value from someone inspecting the memory; // - Implementing `Clone` seems acceptable, as it would not cause the systematic // bias a constant might cause. Only instead of one value that could be // potentially related to the same initial state, there are now two. // Entropy collector state. // These values are not necessary to preserve across runs. struct EcState { // Previous time stamp to determine the timer delta prev_time: u64, // Deltas used for the stuck test last_delta: i32, last_delta2: i32, // Memory for the Memory Access noise source mem: [u8; MEMORY_SIZE], } impl EcState { // Stuck test by checking the: // - 1st derivation of the jitter measurement (time delta) // - 2nd derivation of the jitter measurement (delta of time deltas) // - 3rd derivation of the jitter measurement (delta of delta of time // deltas) // // All values must always be non-zero. // This test is a heuristic to see whether the last measurement holds // entropy. fn stuck(&mut self, current_delta: i32) -> bool { let delta2 = self.last_delta - current_delta; let delta3 = delta2 - self.last_delta2; self.last_delta = current_delta; self.last_delta2 = delta2; current_delta == 0 || delta2 == 0 || delta3 == 0 } } // Custom Debug implementation that does not expose the internal state impl fmt::Debug for JitterRng { fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { write!(f, "JitterRng {{}}") } } impl Clone for JitterRng { fn clone(&self) -> JitterRng { JitterRng { data: self.data, rounds: self.rounds, timer: self.timer, mem_prev_index: self.mem_prev_index, // The 32 bits that may still be unused from the previous round are // for the original to use, not for the clone. data_half_used: false, } } } // Initialise to zero; must be positive #[cfg(all(feature = "std", not(target_arch = "wasm32")))] #[allow(deprecated)] static JITTER_ROUNDS: AtomicUsize = ATOMIC_USIZE_INIT; impl JitterRng { /// Create a new `JitterRng`. Makes use of `std::time` for a timer, or a /// platform-specific function with higher accuracy if necessary and /// available. /// /// During initialization CPU execution timing jitter is measured a few /// hundred times. If this does not pass basic quality tests, an error is /// returned. The test result is cached to make subsequent calls faster. #[cfg(all(feature = "std", not(target_arch = "wasm32")))] pub fn new() -> Result<JitterRng, TimerError> { if cfg!(target_arch = "wasm32") { return Err(TimerError::NoTimer); } let mut state = JitterRng::new_with_timer(platform::get_nstime); let mut rounds = JITTER_ROUNDS.load(Ordering::Relaxed) as u8; if rounds == 0 { // No result yet: run test. // This allows the timer test to run multiple times; we don't care. rounds = state.test_timer()?; JITTER_ROUNDS.store(rounds as usize, Ordering::Relaxed); info!("JitterRng: using {} rounds per u64 output", rounds); } state.set_rounds(rounds); // Fill `data` with a non-zero value. state.gen_entropy(); Ok(state) } /// Create a new `JitterRng`. /// A custom timer can be supplied, making it possible to use `JitterRng` in /// `no_std` environments. /// /// The timer must have nanosecond precision. /// /// This method is more low-level than `new()`. It is the responsibility of /// the caller to run [`test_timer`] before using any numbers generated with /// `JitterRng`, and optionally call [`set_rounds`]. Also it is important to /// consume at least one `u64` before using the first result to initialize /// the entropy collection pool. /// /// # Example /// /// ``` /// # use rand_jitter::rand_core::{RngCore, Error}; /// use rand_jitter::JitterRng; /// /// # fn try_inner() -> Result<(), Error> { /// fn get_nstime() -> u64 { /// use std::time::{SystemTime, UNIX_EPOCH}; /// /// let dur = SystemTime::now().duration_since(UNIX_EPOCH).unwrap(); /// // The correct way to calculate the current time is /// // `dur.as_secs() * 1_000_000_000 + dur.subsec_nanos() as u64` /// // But this is faster, and the difference in terms of entropy is /// // negligible (log2(10^9) == 29.9). /// dur.as_secs() << 30 | dur.subsec_nanos() as u64 /// } /// /// let mut rng = JitterRng::new_with_timer(get_nstime); /// let rounds = rng.test_timer()?; /// rng.set_rounds(rounds); // optional /// let _ = rng.next_u64(); /// /// // Ready for use /// let v: u64 = rng.next_u64(); /// # Ok(()) /// # } /// /// # let _ = try_inner(); /// ``` /// /// [`test_timer`]: JitterRng::test_timer /// [`set_rounds`]: JitterRng::set_rounds pub fn new_with_timer(timer: fn() -> u64) -> JitterRng { JitterRng { data: 0, rounds: 64, timer, mem_prev_index: 0, data_half_used: false, } } /// Configures how many rounds are used to generate each 64-bit value. /// This must be greater than zero, and has a big impact on performance /// and output quality. /// /// [`new_with_timer`] conservatively uses 64 rounds, but often less rounds /// can be used. The `test_timer()` function returns the minimum number of /// rounds required for full strength (platform dependent), so one may use /// `rng.set_rounds(rng.test_timer()?);` or cache the value. /// /// [`new_with_timer`]: JitterRng::new_with_timer pub fn set_rounds(&mut self, rounds: u8) { assert!(rounds > 0); self.rounds = rounds; } // Calculate a random loop count used for the next round of an entropy // collection, based on bits from a fresh value from the timer. // // The timer is folded to produce a number that contains at most `n_bits` // bits. // // Note: A constant should be added to the resulting random loop count to // prevent loops that run 0 times. #[inline(never)] fn random_loop_cnt(&mut self, n_bits: u32) -> u32 { let mut rounds = 0; let mut time = (self.timer)(); // Mix with the current state of the random number balance the random // loop counter a bit more. time ^= self.data; // We fold the time value as much as possible to ensure that as many // bits of the time stamp are included as possible. let folds = (64 + n_bits - 1) / n_bits; let mask = (1 << n_bits) - 1; for _ in 0..folds { rounds ^= time & mask; time >>= n_bits; } rounds as u32 } // CPU jitter noise source // Noise source based on the CPU execution time jitter // // This function injects the individual bits of the time value into the // entropy pool using an LFSR. // // The code is deliberately inefficient with respect to the bit shifting. // This function not only acts as folding operation, but this function's // execution is used to measure the CPU execution time jitter. Any change to // the loop in this function implies that careful retesting must be done. #[inline(never)] fn lfsr_time(&mut self, time: u64, var_rounds: bool) { fn lfsr(mut data: u64, time: u64) -> u64{ for i in 1..65 { let mut tmp = time << (64 - i); tmp >>= 64 - 1; // Fibonacci LSFR with polynomial of // x^64 + x^61 + x^56 + x^31 + x^28 + x^23 + 1 which is // primitive according to // http://poincare.matf.bg.ac.rs/~ezivkovm/publications/primpol1.pdf // (the shift values are the polynomial values minus one // due to counting bits from 0 to 63). As the current // position is always the LSB, the polynomial only needs // to shift data in from the left without wrap. data ^= tmp; data ^= (data >> 63) & 1; data ^= (data >> 60) & 1; data ^= (data >> 55) & 1; data ^= (data >> 30) & 1; data ^= (data >> 27) & 1; data ^= (data >> 22) & 1; data = data.rotate_left(1); } data } // Note: in the reference implementation only the last round effects // `self.data`, all the other results are ignored. To make sure the // other rounds are not optimised out, we first run all but the last // round on a throw-away value instead of the real `self.data`. let mut lfsr_loop_cnt = 0; if var_rounds { lfsr_loop_cnt = self.random_loop_cnt(4) }; let mut throw_away: u64 = 0; for _ in 0..lfsr_loop_cnt { throw_away = lfsr(throw_away, time); } black_box(throw_away); self.data = lfsr(self.data, time); } // Memory Access noise source // This is a noise source based on variations in memory access times // // This function performs memory accesses which will add to the timing // variations due to an unknown amount of CPU wait states that need to be // added when accessing memory. The memory size should be larger than the L1 // caches as outlined in the documentation and the associated testing. // // The L1 cache has a very high bandwidth, albeit its access rate is usually // slower than accessing CPU registers. Therefore, L1 accesses only add // minimal variations as the CPU has hardly to wait. Starting with L2, // significant variations are added because L2 typically does not belong to // the CPU any more and therefore a wider range of CPU wait states is // necessary for accesses. L3 and real memory accesses have even a wider // range of wait states. However, to reliably access either L3 or memory, // the `self.mem` memory must be quite large which is usually not desirable. #[inline(never)] fn memaccess(&mut self, mem: &mut [u8; MEMORY_SIZE], var_rounds: bool) { let mut acc_loop_cnt = 128; if var_rounds { acc_loop_cnt += self.random_loop_cnt(4) }; let mut index = self.mem_prev_index as usize; for _ in 0..acc_loop_cnt { // Addition of memblocksize - 1 to index with wrap around logic to // ensure that every memory location is hit evenly. // The modulus also allows the compiler to remove the indexing // bounds check. index = (index + MEMORY_BLOCKSIZE - 1) % MEMORY_SIZE; // memory access: just add 1 to one byte // memory access implies read from and write to memory location mem[index] = mem[index].wrapping_add(1); } self.mem_prev_index = index as u16; } // This is the heart of the entropy generation: calculate time deltas and // use the CPU jitter in the time deltas. The jitter is injected into the // entropy pool. // // Ensure that `ec.prev_time` is primed before using the output of this // function. This can be done by calling this function and not using its // result. fn measure_jitter(&mut self, ec: &mut EcState) -> Option<()> { // Invoke one noise source before time measurement to add variations self.memaccess(&mut ec.mem, true); // Get time stamp and calculate time delta to previous // invocation to measure the timing variations let time = (self.timer)(); // Note: wrapping_sub combined with a cast to `i64` generates a correct // delta, even in the unlikely case this is a timer that is not strictly // monotonic. let current_delta = time.wrapping_sub(ec.prev_time) as i64 as i32; ec.prev_time = time; // Call the next noise source which also injects the data self.lfsr_time(current_delta as u64, true); // Check whether we have a stuck measurement (i.e. does the last // measurement holds entropy?). if ec.stuck(current_delta) { return None }; // Rotate the data buffer by a prime number (any odd number would // do) to ensure that every bit position of the input time stamp // has an even chance of being merged with a bit position in the // entropy pool. We do not use one here as the adjacent bits in // successive time deltas may have some form of dependency. The // chosen value of 7 implies that the low 7 bits of the next // time delta value is concatenated with the current time delta. self.data = self.data.rotate_left(7); Some(()) } // Shuffle the pool a bit by mixing some value with a bijective function // (XOR) into the pool. // // The function generates a mixer value that depends on the bits set and // the location of the set bits in the random number generated by the // entropy source. Therefore, based on the generated random number, this // mixer value can have 2^64 different values. That mixer value is // initialized with the first two SHA-1 constants. After obtaining the // mixer value, it is XORed into the random number. // // The mixer value is not assumed to contain any entropy. But due to the // XOR operation, it can also not destroy any entropy present in the // entropy pool. #[inline(never)] fn stir_pool(&mut self) { // This constant is derived from the first two 32 bit initialization // vectors of SHA-1 as defined in FIPS 180-4 section 5.3.1 // The order does not really matter as we do not rely on the specific // numbers. We just pick the SHA-1 constants as they have a good mix of // bit set and unset. const CONSTANT: u64 = 0x67452301efcdab89; // The start value of the mixer variable is derived from the third // and fourth 32 bit initialization vector of SHA-1 as defined in // FIPS 180-4 section 5.3.1 let mut mixer = 0x98badcfe10325476; // This is a constant time function to prevent leaking timing // information about the random number. // The normal code is: // ``` // for i in 0..64 { // if ((self.data >> i) & 1) == 1 { mixer ^= CONSTANT; } // } // ``` // This is a bit fragile, as LLVM really wants to use branches here, and // we rely on it to not recognise the opportunity. for i in 0..64 { let apply = (self.data >> i) & 1; let mask = !apply.wrapping_sub(1); mixer ^= CONSTANT & mask; mixer = mixer.rotate_left(1); } self.data ^= mixer; } fn gen_entropy(&mut self) -> u64 { trace!("JitterRng: collecting entropy"); // Prime `ec.prev_time`, and run the noice sources to make sure the // first loop round collects the expected entropy. let mut ec = EcState { prev_time: (self.timer)(), last_delta: 0, last_delta2: 0, mem: [0; MEMORY_SIZE], }; let _ = self.measure_jitter(&mut ec); for _ in 0..self.rounds { // If a stuck measurement is received, repeat measurement // Note: we do not guard against an infinite loop, that would mean // the timer suddenly became broken. while self.measure_jitter(&mut ec).is_none() {} } // Do a single read from `self.mem` to make sure the Memory Access noise // source is not optimised out. black_box(ec.mem[0]); self.stir_pool(); self.data } /// Basic quality tests on the timer, by measuring CPU timing jitter a few /// hundred times. /// /// If successful, this will return the estimated number of rounds necessary /// to collect 64 bits of entropy. Otherwise a [`TimerError`] with the cause /// of the failure will be returned. pub fn test_timer(&mut self) -> Result<u8, TimerError> { debug!("JitterRng: testing timer ..."); // We could add a check for system capabilities such as `clock_getres` // or check for `CONFIG_X86_TSC`, but it does not make much sense as the // following sanity checks verify that we have a high-resolution timer. let mut delta_sum = 0; let mut old_delta = 0; let mut time_backwards = 0; let mut count_mod = 0; let mut count_stuck = 0; let mut ec = EcState { prev_time: (self.timer)(), last_delta: 0, last_delta2: 0, mem: [0; MEMORY_SIZE], }; // TESTLOOPCOUNT needs some loops to identify edge systems. // 100 is definitely too little. const TESTLOOPCOUNT: u64 = 300; const CLEARCACHE: u64 = 100; for i in 0..(CLEARCACHE + TESTLOOPCOUNT) { // Measure time delta of core entropy collection logic let time = (self.timer)(); self.memaccess(&mut ec.mem, true); self.lfsr_time(time, true); let time2 = (self.timer)(); // Test whether timer works if time == 0 || time2 == 0 { return Err(TimerError::NoTimer); } let delta = time2.wrapping_sub(time) as i64 as i32; // Test whether timer is fine grained enough to provide delta even // when called shortly after each other -- this implies that we also // have a high resolution timer if delta == 0 { return Err(TimerError::CoarseTimer); } // Up to here we did not modify any variable that will be // evaluated later, but we already performed some work. Thus we // already have had an impact on the caches, branch prediction, // etc. with the goal to clear it to get the worst case // measurements. if i < CLEARCACHE { continue; } if ec.stuck(delta) { count_stuck += 1; } // Test whether we have an increasing timer. if !(time2 > time) { time_backwards += 1; } // Count the number of times the counter increases in steps of 100ns // or greater. if (delta % 100) == 0 { count_mod += 1; } // Ensure that we have a varying delta timer which is necessary for // the calculation of entropy -- perform this check only after the // first loop is executed as we need to prime the old_delta value delta_sum += (delta - old_delta).abs() as u64; old_delta = delta; } // Do a single read from `self.mem` to make sure the Memory Access noise // source is not optimised out. black_box(ec.mem[0]); // We allow the time to run backwards for up to three times. // This can happen if the clock is being adjusted by NTP operations. // If such an operation just happens to interfere with our test, it // should not fail. The value of 3 should cover the NTP case being // performed during our test run. if time_backwards > 3 { return Err(TimerError::NotMonotonic); } // Test that the available amount of entropy per round does not get to // low. We expect 1 bit of entropy per round as a reasonable minimum // (although less is possible, it means the collector loop has to run // much more often). // `assert!(delta_average >= log2(1))` // `assert!(delta_sum / TESTLOOPCOUNT >= 1)` // `assert!(delta_sum >= TESTLOOPCOUNT)` if delta_sum < TESTLOOPCOUNT { return Err(TimerError::TinyVariantions); } // Ensure that we have variations in the time stamp below 100 for at // least 10% of all checks -- on some platforms, the counter increments // in multiples of 100, but not always if count_mod > (TESTLOOPCOUNT * 9 / 10) { return Err(TimerError::CoarseTimer); } // If we have more than 90% stuck results, then this Jitter RNG is // likely to not work well. if count_stuck > (TESTLOOPCOUNT * 9 / 10) { return Err(TimerError::TooManyStuck); } // Estimate the number of `measure_jitter` rounds necessary for 64 bits // of entropy. // // We don't try very hard to come up with a good estimate of the // available bits of entropy per round here for two reasons: // 1. Simple estimates of the available bits (like Shannon entropy) are // too optimistic. // 2. Unless we want to waste a lot of time during intialization, there // only a small number of samples are available. // // Therefore we use a very simple and conservative estimate: // `let bits_of_entropy = log2(delta_average) / 2`. // // The number of rounds `measure_jitter` should run to collect 64 bits // of entropy is `64 / bits_of_entropy`. let delta_average = delta_sum / TESTLOOPCOUNT; if delta_average >= 16 { let log2 = 64 - delta_average.leading_zeros(); // Do something similar to roundup(64/(log2/2)): Ok( ((64u32 * 2 + log2 - 1) / log2) as u8) } else { // For values < 16 the rounding error becomes too large, use a // lookup table. // Values 0 and 1 are invalid, and filtered out by the // `delta_sum < TESTLOOPCOUNT` test above. let log2_lookup = [0, 0, 128, 81, 64, 56, 50, 46, 43, 41, 39, 38, 36, 35, 34, 33]; Ok(log2_lookup[delta_average as usize]) } } /// Statistical test: return the timer delta of one normal run of the /// `JitterRng` entropy collector. /// /// Setting `var_rounds` to `true` will execute the memory access and the /// CPU jitter noice sources a variable amount of times (just like a real /// `JitterRng` round). /// /// Setting `var_rounds` to `false` will execute the noice sources the /// minimal number of times. This can be used to measure the minimum amount /// of entropy one round of the entropy collector can collect in the worst /// case. /// /// See this crate's README on how to use `timer_stats` to test the quality /// of `JitterRng`. pub fn timer_stats(&mut self, var_rounds: bool) -> i64 { let mut mem = [0; MEMORY_SIZE]; let time = (self.timer)(); self.memaccess(&mut mem, var_rounds); self.lfsr_time(time, var_rounds); let time2 = (self.timer)(); time2.wrapping_sub(time) as i64 } } // A function that is opaque to the optimizer to assist in avoiding dead-code // elimination. Taken from `bencher`. fn black_box<T>(dummy: T) -> T { unsafe { let ret = ptr::read_volatile(&dummy); mem::forget(dummy); ret } } impl RngCore for JitterRng { fn next_u32(&mut self) -> u32 { // We want to use both parts of the generated entropy if self.data_half_used { self.data_half_used = false; (self.data >> 32) as u32 } else { self.data = self.next_u64(); self.data_half_used = true; self.data as u32 } } fn next_u64(&mut self) -> u64 { self.data_half_used = false; self.gen_entropy() } fn fill_bytes(&mut self, dest: &mut [u8]) { // Fill using `next_u32`. This is faster for filling small slices (four // bytes or less), while the overhead is negligible. // // This is done especially for wrappers that implement `next_u32` // themselves via `fill_bytes`. impls::fill_bytes_via_next(self, dest) } fn try_fill_bytes(&mut self, dest: &mut [u8]) -> Result<(), Error> { Ok(self.fill_bytes(dest)) } } impl CryptoRng for JitterRng {}