// Copyright 2013 The Rust Project Developers. See the COPYRIGHT // file at the top-level directory of this distribution and at // http://rust-lang.org/COPYRIGHT. // // Licensed under the Apache License, Version 2.0 or the MIT license // , at your // option. This file may not be copied, modified, or distributed // except according to those terms. //! The ISAAC random number generator. use core::prelude::*; use core::iter::{range_step, Repeat}; use core::slice::raw; use core::mem; use {Rng, SeedableRng, Rand}; static RAND_SIZE_LEN: u32 = 8; static RAND_SIZE: u32 = 1 << (RAND_SIZE_LEN as uint); static RAND_SIZE_UINT: uint = 1 << (RAND_SIZE_LEN as uint); /// A random number generator that uses the ISAAC algorithm[1]. /// /// The ISAAC algorithm is generally accepted as suitable for /// cryptographic purposes, but this implementation has not be /// verified as such. Prefer a generator like `OsRng` that defers to /// the operating system for cases that need high security. /// /// [1]: Bob Jenkins, [*ISAAC: A fast cryptographic random number /// generator*](http://www.burtleburtle.net/bob/rand/isaacafa.html) pub struct IsaacRng { cnt: u32, rsl: [u32, ..RAND_SIZE_UINT], mem: [u32, ..RAND_SIZE_UINT], a: u32, b: u32, c: u32 } static EMPTY: IsaacRng = IsaacRng { cnt: 0, rsl: [0, ..RAND_SIZE_UINT], mem: [0, ..RAND_SIZE_UINT], a: 0, b: 0, c: 0 }; impl IsaacRng { /// Create an ISAAC random number generator using the default /// fixed seed. pub fn new_unseeded() -> IsaacRng { let mut rng = EMPTY; rng.init(false); rng } /// Initialises `self`. If `use_rsl` is true, then use the current value /// of `rsl` as a seed, otherwise construct one algorithmically (not /// randomly). fn init(&mut self, use_rsl: bool) { let mut a = 0x9e3779b9; let mut b = a; let mut c = a; let mut d = a; let mut e = a; let mut f = a; let mut g = a; let mut h = a; macro_rules! mix( () => {{ a^=b<<11; d+=a; b+=c; b^=c>>2; e+=b; c+=d; c^=d<<8; f+=c; d+=e; d^=e>>16; g+=d; e+=f; e^=f<<10; h+=e; f+=g; f^=g>>4; a+=f; g+=h; g^=h<<8; b+=g; h+=a; h^=a>>9; c+=h; a+=b; }} ); for _ in range(0u, 4) { mix!(); } if use_rsl { macro_rules! memloop ( ($arr:expr) => {{ for i in range_step(0, RAND_SIZE as uint, 8) { a+=$arr[i ]; b+=$arr[i+1]; c+=$arr[i+2]; d+=$arr[i+3]; e+=$arr[i+4]; f+=$arr[i+5]; g+=$arr[i+6]; h+=$arr[i+7]; mix!(); self.mem[i ]=a; self.mem[i+1]=b; self.mem[i+2]=c; self.mem[i+3]=d; self.mem[i+4]=e; self.mem[i+5]=f; self.mem[i+6]=g; self.mem[i+7]=h; } }} ); memloop!(self.rsl); memloop!(self.mem); } else { for i in range_step(0, RAND_SIZE as uint, 8) { mix!(); self.mem[i ]=a; self.mem[i+1]=b; self.mem[i+2]=c; self.mem[i+3]=d; self.mem[i+4]=e; self.mem[i+5]=f; self.mem[i+6]=g; self.mem[i+7]=h; } } self.isaac(); } /// Refills the output buffer (`self.rsl`) #[inline] #[allow(unsigned_negate)] fn isaac(&mut self) { self.c += 1; // abbreviations let mut a = self.a; let mut b = self.b + self.c; static MIDPOINT: uint = (RAND_SIZE / 2) as uint; macro_rules! ind (($x:expr) => { self.mem[(($x >> 2) as uint & ((RAND_SIZE - 1) as uint))] }); let r = [(0, MIDPOINT), (MIDPOINT, 0)]; for &(mr_offset, m2_offset) in r.iter() { macro_rules! rngstepp( ($j:expr, $shift:expr) => {{ let base = $j; let mix = a << $shift as uint; let x = self.mem[base + mr_offset]; a = (a ^ mix) + self.mem[base + m2_offset]; let y = ind!(x) + a + b; self.mem[base + mr_offset] = y; b = ind!(y >> RAND_SIZE_LEN as uint) + x; self.rsl[base + mr_offset] = b; }} ); macro_rules! rngstepn( ($j:expr, $shift:expr) => {{ let base = $j; let mix = a >> $shift as uint; let x = self.mem[base + mr_offset]; a = (a ^ mix) + self.mem[base + m2_offset]; let y = ind!(x) + a + b; self.mem[base + mr_offset] = y; b = ind!(y >> RAND_SIZE_LEN as uint) + x; self.rsl[base + mr_offset] = b; }} ); for i in range_step(0u, MIDPOINT, 4) { rngstepp!(i + 0, 13); rngstepn!(i + 1, 6); rngstepp!(i + 2, 2); rngstepn!(i + 3, 16); } } self.a = a; self.b = b; self.cnt = RAND_SIZE; } } impl Rng for IsaacRng { #[inline] fn next_u32(&mut self) -> u32 { if self.cnt == 0 { // make some more numbers self.isaac(); } self.cnt -= 1; self.rsl[self.cnt as uint] } } impl<'a> SeedableRng<&'a [u32]> for IsaacRng { fn reseed(&mut self, seed: &'a [u32]) { // make the seed into [seed[0], seed[1], ..., seed[seed.len() // - 1], 0, 0, ...], to fill rng.rsl. let seed_iter = seed.iter().map(|&x| x).chain(Repeat::new(0u32)); for (rsl_elem, seed_elem) in self.rsl.mut_iter().zip(seed_iter) { *rsl_elem = seed_elem; } self.cnt = 0; self.a = 0; self.b = 0; self.c = 0; self.init(true); } /// Create an ISAAC random number generator with a seed. This can /// be any length, although the maximum number of elements used is /// 256 and any more will be silently ignored. A generator /// constructed with a given seed will generate the same sequence /// of values as all other generators constructed with that seed. fn from_seed(seed: &'a [u32]) -> IsaacRng { let mut rng = EMPTY; rng.reseed(seed); rng } } impl Rand for IsaacRng { fn rand(other: &mut R) -> IsaacRng { let mut ret = EMPTY; unsafe { let ptr = ret.rsl.as_mut_ptr(); raw::mut_buf_as_slice(ptr as *mut u8, mem::size_of_val(&ret.rsl), |slice| { other.fill_bytes(slice); }) } ret.cnt = 0; ret.a = 0; ret.b = 0; ret.c = 0; ret.init(true); return ret; } } static RAND_SIZE_64_LEN: uint = 8; static RAND_SIZE_64: uint = 1 << RAND_SIZE_64_LEN; /// A random number generator that uses ISAAC-64[1], the 64-bit /// variant of the ISAAC algorithm. /// /// The ISAAC algorithm is generally accepted as suitable for /// cryptographic purposes, but this implementation has not be /// verified as such. Prefer a generator like `OsRng` that defers to /// the operating system for cases that need high security. /// /// [1]: Bob Jenkins, [*ISAAC: A fast cryptographic random number /// generator*](http://www.burtleburtle.net/bob/rand/isaacafa.html) pub struct Isaac64Rng { cnt: uint, rsl: [u64, .. RAND_SIZE_64], mem: [u64, .. RAND_SIZE_64], a: u64, b: u64, c: u64, } static EMPTY_64: Isaac64Rng = Isaac64Rng { cnt: 0, rsl: [0, .. RAND_SIZE_64], mem: [0, .. RAND_SIZE_64], a: 0, b: 0, c: 0, }; impl Isaac64Rng { /// Create a 64-bit ISAAC random number generator using the /// default fixed seed. pub fn new_unseeded() -> Isaac64Rng { let mut rng = EMPTY_64; rng.init(false); rng } /// Initialises `self`. If `use_rsl` is true, then use the current value /// of `rsl` as a seed, otherwise construct one algorithmically (not /// randomly). fn init(&mut self, use_rsl: bool) { macro_rules! init ( ($var:ident) => ( let mut $var = 0x9e3779b97f4a7c13; ) ); init!(a); init!(b); init!(c); init!(d); init!(e); init!(f); init!(g); init!(h); macro_rules! mix( () => {{ a-=e; f^=h>>9; h+=a; b-=f; g^=a<<9; a+=b; c-=g; h^=b>>23; b+=c; d-=h; a^=c<<15; c+=d; e-=a; b^=d>>14; d+=e; f-=b; c^=e<<20; e+=f; g-=c; d^=f>>17; f+=g; h-=d; e^=g<<14; g+=h; }} ); for _ in range(0u, 4) { mix!(); } if use_rsl { macro_rules! memloop ( ($arr:expr) => {{ for i in range(0, RAND_SIZE_64 / 8).map(|i| i * 8) { a+=$arr[i ]; b+=$arr[i+1]; c+=$arr[i+2]; d+=$arr[i+3]; e+=$arr[i+4]; f+=$arr[i+5]; g+=$arr[i+6]; h+=$arr[i+7]; mix!(); self.mem[i ]=a; self.mem[i+1]=b; self.mem[i+2]=c; self.mem[i+3]=d; self.mem[i+4]=e; self.mem[i+5]=f; self.mem[i+6]=g; self.mem[i+7]=h; } }} ); memloop!(self.rsl); memloop!(self.mem); } else { for i in range(0, RAND_SIZE_64 / 8).map(|i| i * 8) { mix!(); self.mem[i ]=a; self.mem[i+1]=b; self.mem[i+2]=c; self.mem[i+3]=d; self.mem[i+4]=e; self.mem[i+5]=f; self.mem[i+6]=g; self.mem[i+7]=h; } } self.isaac64(); } /// Refills the output buffer (`self.rsl`) fn isaac64(&mut self) { self.c += 1; // abbreviations let mut a = self.a; let mut b = self.b + self.c; static MIDPOINT: uint = RAND_SIZE_64 / 2; static MP_VEC: [(uint, uint), .. 2] = [(0,MIDPOINT), (MIDPOINT, 0)]; macro_rules! ind ( ($x:expr) => { *self.mem.unsafe_ref(($x as uint >> 3) & (RAND_SIZE_64 - 1)) } ); for &(mr_offset, m2_offset) in MP_VEC.iter() { for base in range(0, MIDPOINT / 4).map(|i| i * 4) { macro_rules! rngstepp( ($j:expr, $shift:expr) => {{ let base = base + $j; let mix = a ^ (a << $shift as uint); let mix = if $j == 0 {!mix} else {mix}; unsafe { let x = *self.mem.unsafe_ref(base + mr_offset); a = mix + *self.mem.unsafe_ref(base + m2_offset); let y = ind!(x) + a + b; self.mem.unsafe_set(base + mr_offset, y); b = ind!(y >> RAND_SIZE_64_LEN) + x; self.rsl.unsafe_set(base + mr_offset, b); } }} ); macro_rules! rngstepn( ($j:expr, $shift:expr) => {{ let base = base + $j; let mix = a ^ (a >> $shift as uint); let mix = if $j == 0 {!mix} else {mix}; unsafe { let x = *self.mem.unsafe_ref(base + mr_offset); a = mix + *self.mem.unsafe_ref(base + m2_offset); let y = ind!(x) + a + b; self.mem.unsafe_set(base + mr_offset, y); b = ind!(y >> RAND_SIZE_64_LEN) + x; self.rsl.unsafe_set(base + mr_offset, b); } }} ); rngstepp!(0, 21); rngstepn!(1, 5); rngstepp!(2, 12); rngstepn!(3, 33); } } self.a = a; self.b = b; self.cnt = RAND_SIZE_64; } } impl Rng for Isaac64Rng { // FIXME #7771: having next_u32 like this should be unnecessary #[inline] fn next_u32(&mut self) -> u32 { self.next_u64() as u32 } #[inline] fn next_u64(&mut self) -> u64 { if self.cnt == 0 { // make some more numbers self.isaac64(); } self.cnt -= 1; unsafe { *self.rsl.unsafe_ref(self.cnt) } } } impl<'a> SeedableRng<&'a [u64]> for Isaac64Rng { fn reseed(&mut self, seed: &'a [u64]) { // make the seed into [seed[0], seed[1], ..., seed[seed.len() // - 1], 0, 0, ...], to fill rng.rsl. let seed_iter = seed.iter().map(|&x| x).chain(Repeat::new(0u64)); for (rsl_elem, seed_elem) in self.rsl.mut_iter().zip(seed_iter) { *rsl_elem = seed_elem; } self.cnt = 0; self.a = 0; self.b = 0; self.c = 0; self.init(true); } /// Create an ISAAC random number generator with a seed. This can /// be any length, although the maximum number of elements used is /// 256 and any more will be silently ignored. A generator /// constructed with a given seed will generate the same sequence /// of values as all other generators constructed with that seed. fn from_seed(seed: &'a [u64]) -> Isaac64Rng { let mut rng = EMPTY_64; rng.reseed(seed); rng } } impl Rand for Isaac64Rng { fn rand(other: &mut R) -> Isaac64Rng { let mut ret = EMPTY_64; unsafe { let ptr = ret.rsl.as_mut_ptr(); raw::mut_buf_as_slice(ptr as *mut u8, mem::size_of_val(&ret.rsl), |slice| { other.fill_bytes(slice); }) } ret.cnt = 0; ret.a = 0; ret.b = 0; ret.c = 0; ret.init(true); return ret; } } #[cfg(test)] mod test { use std::prelude::*; use core::iter::order; use {Rng, SeedableRng}; use super::{IsaacRng, Isaac64Rng}; #[test] fn test_rng_32_rand_seeded() { let s = ::test::rng().gen_iter::().take(256).collect::>(); let mut ra: IsaacRng = SeedableRng::from_seed(s.as_slice()); let mut rb: IsaacRng = SeedableRng::from_seed(s.as_slice()); assert!(order::equals(ra.gen_ascii_chars().take(100), rb.gen_ascii_chars().take(100))); } #[test] fn test_rng_64_rand_seeded() { let s = ::test::rng().gen_iter::().take(256).collect::>(); let mut ra: Isaac64Rng = SeedableRng::from_seed(s.as_slice()); let mut rb: Isaac64Rng = SeedableRng::from_seed(s.as_slice()); assert!(order::equals(ra.gen_ascii_chars().take(100), rb.gen_ascii_chars().take(100))); } #[test] fn test_rng_32_seeded() { let seed = &[1, 23, 456, 7890, 12345]; let mut ra: IsaacRng = SeedableRng::from_seed(seed); let mut rb: IsaacRng = SeedableRng::from_seed(seed); assert!(order::equals(ra.gen_ascii_chars().take(100), rb.gen_ascii_chars().take(100))); } #[test] fn test_rng_64_seeded() { let seed = &[1, 23, 456, 7890, 12345]; let mut ra: Isaac64Rng = SeedableRng::from_seed(seed); let mut rb: Isaac64Rng = SeedableRng::from_seed(seed); assert!(order::equals(ra.gen_ascii_chars().take(100), rb.gen_ascii_chars().take(100))); } #[test] fn test_rng_32_reseed() { let s = ::test::rng().gen_iter::().take(256).collect::>(); let mut r: IsaacRng = SeedableRng::from_seed(s.as_slice()); let string1: String = r.gen_ascii_chars().take(100).collect(); r.reseed(s.as_slice()); let string2: String = r.gen_ascii_chars().take(100).collect(); assert_eq!(string1, string2); } #[test] fn test_rng_64_reseed() { let s = ::test::rng().gen_iter::().take(256).collect::>(); let mut r: Isaac64Rng = SeedableRng::from_seed(s.as_slice()); let string1: String = r.gen_ascii_chars().take(100).collect(); r.reseed(s.as_slice()); let string2: String = r.gen_ascii_chars().take(100).collect(); assert_eq!(string1, string2); } #[test] fn test_rng_32_true_values() { let seed = &[1, 23, 456, 7890, 12345]; let mut ra: IsaacRng = SeedableRng::from_seed(seed); // Regression test that isaac is actually using the above vector let v = Vec::from_fn(10, |_| ra.next_u32()); assert_eq!(v, vec!(2558573138, 873787463, 263499565, 2103644246, 3595684709, 4203127393, 264982119, 2765226902, 2737944514, 3900253796)); let seed = &[12345, 67890, 54321, 9876]; let mut rb: IsaacRng = SeedableRng::from_seed(seed); // skip forward to the 10000th number for _ in range(0u, 10000) { rb.next_u32(); } let v = Vec::from_fn(10, |_| rb.next_u32()); assert_eq!(v, vec!(3676831399, 3183332890, 2834741178, 3854698763, 2717568474, 1576568959, 3507990155, 179069555, 141456972, 2478885421)); } #[test] fn test_rng_64_true_values() { let seed = &[1, 23, 456, 7890, 12345]; let mut ra: Isaac64Rng = SeedableRng::from_seed(seed); // Regression test that isaac is actually using the above vector let v = Vec::from_fn(10, |_| ra.next_u64()); assert_eq!(v, vec!(547121783600835980, 14377643087320773276, 17351601304698403469, 1238879483818134882, 11952566807690396487, 13970131091560099343, 4469761996653280935, 15552757044682284409, 6860251611068737823, 13722198873481261842)); let seed = &[12345, 67890, 54321, 9876]; let mut rb: Isaac64Rng = SeedableRng::from_seed(seed); // skip forward to the 10000th number for _ in range(0u, 10000) { rb.next_u64(); } let v = Vec::from_fn(10, |_| rb.next_u64()); assert_eq!(v, vec!(18143823860592706164, 8491801882678285927, 2699425367717515619, 17196852593171130876, 2606123525235546165, 15790932315217671084, 596345674630742204, 9947027391921273664, 11788097613744130851, 10391409374914919106)); } }