Tests for issue #161

Implementations of get_cache_size and get_data_size in Rust (issue #161)
Removed sizes module, containing replaced data tables

Fixed whitespace issues after code review
This commit is contained in:
Peter 2016-02-18 00:47:47 +00:00
parent b66f88181a
commit ce81a24bfd
5 changed files with 102 additions and 805 deletions

47
Cargo.lock generated
View File

@ -162,6 +162,7 @@ name = "ethash"
version = "0.9.99"
dependencies = [
"log 0.3.5 (registry+https://github.com/rust-lang/crates.io-index)",
"primal 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)",
"sha3 0.1.0",
]
@ -262,6 +263,11 @@ name = "glob"
version = "0.2.10"
source = "registry+https://github.com/rust-lang/crates.io-index"
[[package]]
name = "hamming"
version = "0.1.3"
source = "registry+https://github.com/rust-lang/crates.io-index"
[[package]]
name = "heapsize"
version = "0.3.2"
@ -514,6 +520,47 @@ name = "odds"
version = "0.2.12"
source = "registry+https://github.com/rust-lang/crates.io-index"
[[package]]
name = "primal"
version = "0.2.3"
source = "registry+https://github.com/rust-lang/crates.io-index"
dependencies = [
"primal-check 0.2.2 (registry+https://github.com/rust-lang/crates.io-index)",
"primal-estimate 0.2.1 (registry+https://github.com/rust-lang/crates.io-index)",
"primal-sieve 0.2.4 (registry+https://github.com/rust-lang/crates.io-index)",
]
[[package]]
name = "primal-bit"
version = "0.2.3"
source = "registry+https://github.com/rust-lang/crates.io-index"
dependencies = [
"hamming 0.1.3 (registry+https://github.com/rust-lang/crates.io-index)",
]
[[package]]
name = "primal-check"
version = "0.2.2"
source = "registry+https://github.com/rust-lang/crates.io-index"
dependencies = [
"num 0.1.31 (registry+https://github.com/rust-lang/crates.io-index)",
]
[[package]]
name = "primal-estimate"
version = "0.2.1"
source = "registry+https://github.com/rust-lang/crates.io-index"
[[package]]
name = "primal-sieve"
version = "0.2.4"
source = "registry+https://github.com/rust-lang/crates.io-index"
dependencies = [
"hamming 0.1.3 (registry+https://github.com/rust-lang/crates.io-index)",
"primal-bit 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)",
"primal-estimate 0.2.1 (registry+https://github.com/rust-lang/crates.io-index)",
]
[[package]]
name = "quasi"
version = "0.7.0"

View File

@ -8,3 +8,4 @@ authors = ["arkpar <arkadiy@ethcore.io"]
[dependencies]
log = "0.3"
sha3 = { path = "../util/sha3" }
primal = "0.2.3"

View File

@ -19,9 +19,9 @@
// TODO: fix endianess for big endian
use primal::is_prime;
use std::mem;
use std::ptr;
use sizes::{CACHE_SIZES, DAG_SIZES};
use sha3;
use std::slice;
use std::path::PathBuf;
@ -31,9 +31,13 @@ use std::fs::{self, File};
pub const ETHASH_EPOCH_LENGTH: u64 = 30000;
pub const ETHASH_CACHE_ROUNDS: usize = 3;
pub const ETHASH_MIX_BYTES: usize = 128;
pub const ETHASH_ACCESSES:usize = 64;
pub const ETHASH_DATASET_PARENTS:u32 = 256;
pub const ETHASH_ACCESSES: usize = 64;
pub const ETHASH_DATASET_PARENTS: u32 = 256;
const DATASET_BYTES_INIT: u64 = 1 << 30;
const DATASET_BYTES_GROWTH: u64 = 1 << 23;
const CACHE_BYTES_INIT: u64 = 1 << 24;
const CACHE_BYTES_GROWTH: u64 = 1 << 17;
const NODE_WORDS: usize = 64 / 4;
const NODE_BYTES: usize = 64;
const MIX_WORDS: usize = ETHASH_MIX_BYTES / 4;
@ -53,7 +57,7 @@ struct Node {
}
impl Default for Node {
fn default() -> Self {
fn default() -> Self {
Node { bytes: [0u8; NODE_BYTES] }
}
}
@ -109,7 +113,7 @@ impl Light {
pub fn from_file(block_number: u64) -> io::Result<Light> {
let path = Light::file_path(block_number);
let mut file = try!(File::open(path));
let cache_size = get_cache_size(block_number);
if try!(file.metadata()).len() != cache_size as u64 {
return Err(io::Error::new(io::ErrorKind::Other, "Cache file size mismatch"));
@ -129,10 +133,10 @@ impl Light {
let path = Light::file_path(self.block_number);
try!(fs::create_dir_all(path.parent().unwrap()));
let mut file = try!(File::create(path));
let cache_size = self.cache.len() * NODE_BYTES;
let buf = unsafe { slice::from_raw_parts(self.cache.as_ptr() as *const u8, cache_size) };
try!(file.write(buf));
try!(file.write(buf));
Ok(())
}
}
@ -149,14 +153,22 @@ fn sha3_512(input: &[u8], output: &mut [u8]) {
#[inline]
fn get_cache_size(block_number: u64) -> usize {
assert!(block_number / ETHASH_EPOCH_LENGTH < 2048);
return CACHE_SIZES[(block_number / ETHASH_EPOCH_LENGTH) as usize] as usize;
let mut sz: u64 = CACHE_BYTES_INIT + CACHE_BYTES_GROWTH * (block_number / ETHASH_EPOCH_LENGTH);
sz = sz - NODE_BYTES as u64;
while !is_prime(sz / NODE_BYTES as u64) {
sz = sz - 2 * NODE_BYTES as u64;
}
sz as usize
}
#[inline]
fn get_data_size(block_number: u64) -> usize {
assert!(block_number / ETHASH_EPOCH_LENGTH < 2048);
return DAG_SIZES[(block_number / ETHASH_EPOCH_LENGTH) as usize] as usize;
let mut sz: u64 = DATASET_BYTES_INIT + DATASET_BYTES_GROWTH * (block_number / ETHASH_EPOCH_LENGTH);
sz = sz - ETHASH_MIX_BYTES as u64;
while !is_prime(sz / ETHASH_MIX_BYTES as u64) {
sz = sz - 2 * ETHASH_MIX_BYTES as u64;
}
sz as usize
}
#[inline]
@ -289,7 +301,7 @@ fn light_new(block_number: u64) -> Light {
for i in 1..num_nodes {
sha3::sha3_512(nodes.get_unchecked_mut(i).bytes.as_mut_ptr(), NODE_BYTES, nodes.get_unchecked(i - 1).bytes.as_ptr(), NODE_BYTES);
}
for _ in 0..ETHASH_CACHE_ROUNDS {
for i in 0..num_nodes {
let idx = *nodes.get_unchecked_mut(i).as_words().get_unchecked(0) as usize % num_nodes;
@ -321,10 +333,35 @@ fn to_hex(bytes: &[u8]) -> String {
}
}
#[test]
fn test_get_cache_size() {
// https://github.com/ethereum/wiki/wiki/Ethash/ef6b93f9596746a088ea95d01ca2778be43ae68f#data-sizes
assert_eq!(16776896usize, get_cache_size(0));
assert_eq!(16776896usize, get_cache_size(1));
assert_eq!(16776896usize, get_cache_size(ETHASH_EPOCH_LENGTH - 1));
assert_eq!(16907456usize, get_cache_size(ETHASH_EPOCH_LENGTH));
assert_eq!(16907456usize, get_cache_size(ETHASH_EPOCH_LENGTH + 1));
assert_eq!(284950208usize, get_cache_size(2046 * ETHASH_EPOCH_LENGTH));
assert_eq!(285081536usize, get_cache_size(2047 * ETHASH_EPOCH_LENGTH));
assert_eq!(285081536usize, get_cache_size(2048 * ETHASH_EPOCH_LENGTH - 1));
}
#[test]
fn test_get_data_size() {
// https://github.com/ethereum/wiki/wiki/Ethash/ef6b93f9596746a088ea95d01ca2778be43ae68f#data-sizes
assert_eq!(1073739904usize, get_data_size(0));
assert_eq!(1073739904usize, get_data_size(1));
assert_eq!(1073739904usize, get_data_size(ETHASH_EPOCH_LENGTH - 1));
assert_eq!(1082130304usize, get_data_size(ETHASH_EPOCH_LENGTH));
assert_eq!(1082130304usize, get_data_size(ETHASH_EPOCH_LENGTH + 1));
assert_eq!(18236833408usize, get_data_size(2046 * ETHASH_EPOCH_LENGTH));
assert_eq!(18245220736usize, get_data_size(2047 * ETHASH_EPOCH_LENGTH));
}
#[test]
fn test_difficulty_test() {
let hash = [0xf5, 0x7e, 0x6f, 0x3a, 0xcf, 0xc0, 0xdd, 0x4b, 0x5b, 0xf2, 0xbe, 0xe4, 0x0a, 0xb3, 0x35, 0x8a, 0xa6, 0x87, 0x73, 0xa8, 0xd0, 0x9f, 0x5e, 0x59, 0x5e, 0xab, 0x55, 0x94, 0x05, 0x52, 0x7d, 0x72];
let mix_hash = [0x1f, 0xff, 0x04, 0xce, 0xc9, 0x41, 0x73, 0xfd, 0x59, 0x1e, 0x3d, 0x89, 0x60, 0xce, 0x6b, 0xdf, 0x8b, 0x19, 0x71, 0x04, 0x8c, 0x71, 0xff, 0x93, 0x7b, 0xb2, 0xd3, 0x2a, 0x64, 0x31, 0xab, 0x6d ];
let mix_hash = [0x1f, 0xff, 0x04, 0xce, 0xc9, 0x41, 0x73, 0xfd, 0x59, 0x1e, 0x3d, 0x89, 0x60, 0xce, 0x6b, 0xdf, 0x8b, 0x19, 0x71, 0x04, 0x8c, 0x71, 0xff, 0x93, 0x7b, 0xb2, 0xd3, 0x2a, 0x64, 0x31, 0xab, 0x6d ];
let nonce = 0xd7b3ac70a301a249;
let boundary_good = [0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x3e, 0x9b, 0x6c, 0x69, 0xbc, 0x2c, 0xe2, 0xa2, 0x4a, 0x8e, 0x95, 0x69, 0xef, 0xc7, 0xd7, 0x1b, 0x33, 0x35, 0xdf, 0x36, 0x8c, 0x9a, 0xe9, 0x7e, 0x53, 0x84];
assert_eq!(quick_get_difficulty(&hash, nonce, &mix_hash)[..], boundary_good[..]);
@ -335,7 +372,7 @@ fn test_difficulty_test() {
#[test]
fn test_light_compute() {
let hash = [0xf5, 0x7e, 0x6f, 0x3a, 0xcf, 0xc0, 0xdd, 0x4b, 0x5b, 0xf2, 0xbe, 0xe4, 0x0a, 0xb3, 0x35, 0x8a, 0xa6, 0x87, 0x73, 0xa8, 0xd0, 0x9f, 0x5e, 0x59, 0x5e, 0xab, 0x55, 0x94, 0x05, 0x52, 0x7d, 0x72];
let mix_hash = [0x1f, 0xff, 0x04, 0xce, 0xc9, 0x41, 0x73, 0xfd, 0x59, 0x1e, 0x3d, 0x89, 0x60, 0xce, 0x6b, 0xdf, 0x8b, 0x19, 0x71, 0x04, 0x8c, 0x71, 0xff, 0x93, 0x7b, 0xb2, 0xd3, 0x2a, 0x64, 0x31, 0xab, 0x6d ];
let mix_hash = [0x1f, 0xff, 0x04, 0xce, 0xc9, 0x41, 0x73, 0xfd, 0x59, 0x1e, 0x3d, 0x89, 0x60, 0xce, 0x6b, 0xdf, 0x8b, 0x19, 0x71, 0x04, 0x8c, 0x71, 0xff, 0x93, 0x7b, 0xb2, 0xd3, 0x2a, 0x64, 0x31, 0xab, 0x6d ];
let boundary = [0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x3e, 0x9b, 0x6c, 0x69, 0xbc, 0x2c, 0xe2, 0xa2, 0x4a, 0x8e, 0x95, 0x69, 0xef, 0xc7, 0xd7, 0x1b, 0x33, 0x35, 0xdf, 0x36, 0x8c, 0x9a, 0xe9, 0x7e, 0x53, 0x84];
let nonce = 0xd7b3ac70a301a249;
// difficulty = 0x085657254bd9u64;

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@ -16,10 +16,10 @@
//! Ethash implementation
//! See https://github.com/ethereum/wiki/wiki/Ethash
extern crate primal;
extern crate sha3;
#[macro_use]
extern crate log;
mod sizes;
mod compute;
use std::mem;
@ -43,7 +43,7 @@ pub struct EthashManager {
impl EthashManager {
/// Create a new new instance of ethash manager
pub fn new() -> EthashManager {
EthashManager {
EthashManager {
cache: Mutex::new(LightCache {
recent_epoch: None,
recent: None,
@ -82,7 +82,7 @@ impl EthashManager {
None => {
let light = match Light::from_file(block_number) {
Ok(light) => Arc::new(light),
Err(e) => {
Err(e) => {
debug!("Light cache file not found for {}:{}", block_number, e);
let light = Light::new(block_number);
if let Err(e) = light.to_file() {

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@ -1,788 +0,0 @@
// Copyright 2015, 2016 Ethcore (UK) Ltd.
// This file is part of Parity.
// Parity is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
// Parity is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
// You should have received a copy of the GNU General Public License
// along with Parity. If not, see <http://www.gnu.org/licenses/>.
// 2048 Epochs (~20 years) worth of tabulated DAG sizes
// Generated with the following Mathematica Code:
// GetCacheSizes[n_] := Module[{
// CacheSizeBytesInit = 2^24,
// CacheGrowth = 2^17,
// HashBytes = 64,
// j = 0},
// Reap[
// While[j < n,
// Module[{i =
// Floor[(CacheSizeBytesInit + CacheGrowth * j) / HashBytes]},
// While[! PrimeQ[i], i--];
// Sow[i*HashBytes]; j++]]]][[2]][[1]]
pub const DAG_SIZES: [u64; 2048] = [
1073739904u64, 1082130304u64, 1090514816u64, 1098906752u64, 1107293056u64,
1115684224u64, 1124070016u64, 1132461952u64, 1140849536u64, 1149232768u64,
1157627776u64, 1166013824u64, 1174404736u64, 1182786944u64, 1191180416u64,
1199568512u64, 1207958912u64, 1216345216u64, 1224732032u64, 1233124736u64,
1241513344u64, 1249902464u64, 1258290304u64, 1266673792u64, 1275067264u64,
1283453312u64, 1291844992u64, 1300234112u64, 1308619904u64, 1317010048u64,
1325397376u64, 1333787776u64, 1342176128u64, 1350561664u64, 1358954368u64,
1367339392u64, 1375731584u64, 1384118144u64, 1392507008u64, 1400897408u64,
1409284736u64, 1417673344u64, 1426062464u64, 1434451072u64, 1442839168u64,
1451229056u64, 1459615616u64, 1468006016u64, 1476394112u64, 1484782976u64,
1493171584u64, 1501559168u64, 1509948032u64, 1518337664u64, 1526726528u64,
1535114624u64, 1543503488u64, 1551892096u64, 1560278656u64, 1568669056u64,
1577056384u64, 1585446272u64, 1593831296u64, 1602219392u64, 1610610304u64,
1619000192u64, 1627386752u64, 1635773824u64, 1644164224u64, 1652555648u64,
1660943488u64, 1669332608u64, 1677721216u64, 1686109312u64, 1694497664u64,
1702886272u64, 1711274624u64, 1719661184u64, 1728047744u64, 1736434816u64,
1744829056u64, 1753218944u64, 1761606272u64, 1769995904u64, 1778382464u64,
1786772864u64, 1795157888u64, 1803550592u64, 1811937664u64, 1820327552u64,
1828711552u64, 1837102976u64, 1845488768u64, 1853879936u64, 1862269312u64,
1870656896u64, 1879048064u64, 1887431552u64, 1895825024u64, 1904212096u64,
1912601216u64, 1920988544u64, 1929379456u64, 1937765504u64, 1946156672u64,
1954543232u64, 1962932096u64, 1971321728u64, 1979707264u64, 1988093056u64,
1996487552u64, 2004874624u64, 2013262208u64, 2021653888u64, 2030039936u64,
2038430848u64, 2046819968u64, 2055208576u64, 2063596672u64, 2071981952u64,
2080373632u64, 2088762752u64, 2097149056u64, 2105539712u64, 2113928576u64,
2122315136u64, 2130700672u64, 2139092608u64, 2147483264u64, 2155872128u64,
2164257664u64, 2172642176u64, 2181035392u64, 2189426048u64, 2197814912u64,
2206203008u64, 2214587264u64, 2222979712u64, 2231367808u64, 2239758208u64,
2248145024u64, 2256527744u64, 2264922752u64, 2273312128u64, 2281701248u64,
2290086272u64, 2298476672u64, 2306867072u64, 2315251072u64, 2323639168u64,
2332032128u64, 2340420224u64, 2348808064u64, 2357196416u64, 2365580416u64,
2373966976u64, 2382363008u64, 2390748544u64, 2399139968u64, 2407530368u64,
2415918976u64, 2424307328u64, 2432695424u64, 2441084288u64, 2449472384u64,
2457861248u64, 2466247808u64, 2474637184u64, 2483026816u64, 2491414144u64,
2499803776u64, 2508191872u64, 2516582272u64, 2524970368u64, 2533359232u64,
2541743488u64, 2550134144u64, 2558525056u64, 2566913408u64, 2575301504u64,
2583686528u64, 2592073856u64, 2600467328u64, 2608856192u64, 2617240448u64,
2625631616u64, 2634022016u64, 2642407552u64, 2650796416u64, 2659188352u64,
2667574912u64, 2675965312u64, 2684352896u64, 2692738688u64, 2701130624u64,
2709518464u64, 2717907328u64, 2726293376u64, 2734685056u64, 2743073152u64,
2751462016u64, 2759851648u64, 2768232832u64, 2776625536u64, 2785017728u64,
2793401984u64, 2801794432u64, 2810182016u64, 2818571648u64, 2826959488u64,
2835349376u64, 2843734144u64, 2852121472u64, 2860514432u64, 2868900992u64,
2877286784u64, 2885676928u64, 2894069632u64, 2902451584u64, 2910843008u64,
2919234688u64, 2927622784u64, 2936011648u64, 2944400768u64, 2952789376u64,
2961177728u64, 2969565568u64, 2977951616u64, 2986338944u64, 2994731392u64,
3003120256u64, 3011508352u64, 3019895936u64, 3028287104u64, 3036675968u64,
3045063808u64, 3053452928u64, 3061837696u64, 3070228352u64, 3078615424u64,
3087003776u64, 3095394944u64, 3103782272u64, 3112173184u64, 3120562048u64,
3128944768u64, 3137339264u64, 3145725056u64, 3154109312u64, 3162505088u64,
3170893184u64, 3179280256u64, 3187669376u64, 3196056704u64, 3204445568u64,
3212836736u64, 3221224064u64, 3229612928u64, 3238002304u64, 3246391168u64,
3254778496u64, 3263165824u64, 3271556224u64, 3279944576u64, 3288332416u64,
3296719232u64, 3305110912u64, 3313500032u64, 3321887104u64, 3330273152u64,
3338658944u64, 3347053184u64, 3355440512u64, 3363827072u64, 3372220288u64,
3380608384u64, 3388997504u64, 3397384576u64, 3405774208u64, 3414163072u64,
3422551936u64, 3430937984u64, 3439328384u64, 3447714176u64, 3456104576u64,
3464493952u64, 3472883584u64, 3481268864u64, 3489655168u64, 3498048896u64,
3506434432u64, 3514826368u64, 3523213952u64, 3531603584u64, 3539987072u64,
3548380288u64, 3556763264u64, 3565157248u64, 3573545344u64, 3581934464u64,
3590324096u64, 3598712704u64, 3607098752u64, 3615488384u64, 3623877248u64,
3632265856u64, 3640646528u64, 3649043584u64, 3657430144u64, 3665821568u64,
3674207872u64, 3682597504u64, 3690984832u64, 3699367808u64, 3707764352u64,
3716152448u64, 3724541056u64, 3732925568u64, 3741318016u64, 3749706368u64,
3758091136u64, 3766481536u64, 3774872704u64, 3783260032u64, 3791650432u64,
3800036224u64, 3808427648u64, 3816815488u64, 3825204608u64, 3833592704u64,
3841981568u64, 3850370432u64, 3858755968u64, 3867147904u64, 3875536256u64,
3883920512u64, 3892313728u64, 3900702592u64, 3909087872u64, 3917478784u64,
3925868416u64, 3934256512u64, 3942645376u64, 3951032192u64, 3959422336u64,
3967809152u64, 3976200064u64, 3984588416u64, 3992974976u64, 4001363584u64,
4009751168u64, 4018141312u64, 4026530432u64, 4034911616u64, 4043308928u64,
4051695488u64, 4060084352u64, 4068472448u64, 4076862848u64, 4085249408u64,
4093640576u64, 4102028416u64, 4110413696u64, 4118805632u64, 4127194496u64,
4135583104u64, 4143971968u64, 4152360832u64, 4160746112u64, 4169135744u64,
4177525888u64, 4185912704u64, 4194303616u64, 4202691968u64, 4211076736u64,
4219463552u64, 4227855488u64, 4236246656u64, 4244633728u64, 4253022848u64,
4261412224u64, 4269799808u64, 4278184832u64, 4286578048u64, 4294962304u64,
4303349632u64, 4311743104u64, 4320130432u64, 4328521088u64, 4336909184u64,
4345295488u64, 4353687424u64, 4362073472u64, 4370458496u64, 4378852736u64,
4387238528u64, 4395630208u64, 4404019072u64, 4412407424u64, 4420790656u64,
4429182848u64, 4437571456u64, 4445962112u64, 4454344064u64, 4462738048u64,
4471119232u64, 4479516544u64, 4487904128u64, 4496289664u64, 4504682368u64,
4513068416u64, 4521459584u64, 4529846144u64, 4538232704u64, 4546619776u64,
4555010176u64, 4563402112u64, 4571790208u64, 4580174464u64, 4588567936u64,
4596957056u64, 4605344896u64, 4613734016u64, 4622119808u64, 4630511488u64,
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13279166336u64, 13287553408u64, 13295943296u64, 13304331904u64, 13312719488u64,
13321108096u64, 13329494656u64, 13337885824u64, 13346274944u64, 13354663808u64,
13363051136u64, 13371439232u64, 13379825024u64, 13388210816u64, 13396605056u64,
13404995456u64, 13413380224u64, 13421771392u64, 13430159744u64, 13438546048u64,
13446937216u64, 13455326848u64, 13463708288u64, 13472103808u64, 13480492672u64,
13488875648u64, 13497269888u64, 13505657728u64, 13514045312u64, 13522435712u64,
13530824576u64, 13539210112u64, 13547599232u64, 13555989376u64, 13564379008u64,
13572766336u64, 13581154432u64, 13589544832u64, 13597932928u64, 13606320512u64,
13614710656u64, 13623097472u64, 13631477632u64, 13639874944u64, 13648264064u64,
13656652928u64, 13665041792u64, 13673430656u64, 13681818496u64, 13690207616u64,
13698595712u64, 13706982272u64, 13715373184u64, 13723762048u64, 13732150144u64,
13740536704u64, 13748926592u64, 13757316224u64, 13765700992u64, 13774090112u64,
13782477952u64, 13790869376u64, 13799259008u64, 13807647872u64, 13816036736u64,
13824425344u64, 13832814208u64, 13841202304u64, 13849591424u64, 13857978752u64,
13866368896u64, 13874754688u64, 13883145344u64, 13891533184u64, 13899919232u64,
13908311168u64, 13916692096u64, 13925085056u64, 13933473152u64, 13941866368u64,
13950253696u64, 13958643584u64, 13967032192u64, 13975417216u64, 13983807616u64,
13992197504u64, 14000582272u64, 14008973696u64, 14017363072u64, 14025752192u64,
14034137984u64, 14042528384u64, 14050918016u64, 14059301504u64, 14067691648u64,
14076083584u64, 14084470144u64, 14092852352u64, 14101249664u64, 14109635968u64,
14118024832u64, 14126407552u64, 14134804352u64, 14143188608u64, 14151577984u64,
14159968384u64, 14168357248u64, 14176741504u64, 14185127296u64, 14193521024u64,
14201911424u64, 14210301824u64, 14218685056u64, 14227067264u64, 14235467392u64,
14243855488u64, 14252243072u64, 14260630144u64, 14269021568u64, 14277409408u64,
14285799296u64, 14294187904u64, 14302571392u64, 14310961792u64, 14319353728u64,
14327738752u64, 14336130944u64, 14344518784u64, 14352906368u64, 14361296512u64,
14369685376u64, 14378071424u64, 14386462592u64, 14394848128u64, 14403230848u64,
14411627392u64, 14420013952u64, 14428402304u64, 14436793472u64, 14445181568u64,
14453569664u64, 14461959808u64, 14470347904u64, 14478737024u64, 14487122816u64,
14495511424u64, 14503901824u64, 14512291712u64, 14520677504u64, 14529064832u64,
14537456768u64, 14545845632u64, 14554234496u64, 14562618496u64, 14571011456u64,
14579398784u64, 14587789184u64, 14596172672u64, 14604564608u64, 14612953984u64,
14621341312u64, 14629724288u64, 14638120832u64, 14646503296u64, 14654897536u64,
14663284864u64, 14671675264u64, 14680061056u64, 14688447616u64, 14696835968u64,
14705228416u64, 14713616768u64, 14722003328u64, 14730392192u64, 14738784128u64,
14747172736u64, 14755561088u64, 14763947648u64, 14772336512u64, 14780725376u64,
14789110144u64, 14797499776u64, 14805892736u64, 14814276992u64, 14822670208u64,
14831056256u64, 14839444352u64, 14847836032u64, 14856222848u64, 14864612992u64,
14872997504u64, 14881388672u64, 14889775744u64, 14898165376u64, 14906553472u64,
14914944896u64, 14923329664u64, 14931721856u64, 14940109696u64, 14948497024u64,
14956887424u64, 14965276544u64, 14973663616u64, 14982053248u64, 14990439808u64,
14998830976u64, 15007216768u64, 15015605888u64, 15023995264u64, 15032385152u64,
15040768384u64, 15049154944u64, 15057549184u64, 15065939072u64, 15074328448u64,
15082715008u64, 15091104128u64, 15099493504u64, 15107879296u64, 15116269184u64,
15124659584u64, 15133042304u64, 15141431936u64, 15149824384u64, 15158214272u64,
15166602368u64, 15174991232u64, 15183378304u64, 15191760512u64, 15200154496u64,
15208542592u64, 15216931712u64, 15225323392u64, 15233708416u64, 15242098048u64,
15250489216u64, 15258875264u64, 15267265408u64, 15275654528u64, 15284043136u64,
15292431488u64, 15300819584u64, 15309208192u64, 15317596544u64, 15325986176u64,
15334374784u64, 15342763648u64, 15351151744u64, 15359540608u64, 15367929728u64,
15376318336u64, 15384706432u64, 15393092992u64, 15401481856u64, 15409869952u64,
15418258816u64, 15426649984u64, 15435037568u64, 15443425664u64, 15451815296u64,
15460203392u64, 15468589184u64, 15476979328u64, 15485369216u64, 15493755776u64,
15502146944u64, 15510534272u64, 15518924416u64, 15527311232u64, 15535699072u64,
15544089472u64, 15552478336u64, 15560866688u64, 15569254528u64, 15577642624u64,
15586031488u64, 15594419072u64, 15602809472u64, 15611199104u64, 15619586432u64,
15627975296u64, 15636364928u64, 15644753792u64, 15653141888u64, 15661529216u64,
15669918848u64, 15678305152u64, 15686696576u64, 15695083136u64, 15703474048u64,
15711861632u64, 15720251264u64, 15728636288u64, 15737027456u64, 15745417088u64,
15753804928u64, 15762194048u64, 15770582656u64, 15778971008u64, 15787358336u64,
15795747712u64, 15804132224u64, 15812523392u64, 15820909696u64, 15829300096u64,
15837691264u64, 15846071936u64, 15854466944u64, 15862855808u64, 15871244672u64,
15879634816u64, 15888020608u64, 15896409728u64, 15904799104u64, 15913185152u64,
15921577088u64, 15929966464u64, 15938354816u64, 15946743424u64, 15955129472u64,
15963519872u64, 15971907968u64, 15980296064u64, 15988684928u64, 15997073024u64,
16005460864u64, 16013851264u64, 16022241152u64, 16030629248u64, 16039012736u64,
16047406976u64, 16055794816u64, 16064181376u64, 16072571264u64, 16080957824u64,
16089346688u64, 16097737856u64, 16106125184u64, 16114514816u64, 16122904192u64,
16131292544u64, 16139678848u64, 16148066944u64, 16156453504u64, 16164839552u64,
16173236096u64, 16181623424u64, 16190012032u64, 16198401152u64, 16206790528u64,
16215177344u64, 16223567744u64, 16231956352u64, 16240344704u64, 16248731008u64,
16257117824u64, 16265504384u64, 16273898624u64, 16282281856u64, 16290668672u64,
16299064192u64, 16307449216u64, 16315842176u64, 16324230016u64, 16332613504u64,
16341006464u64, 16349394304u64, 16357783168u64, 16366172288u64, 16374561664u64,
16382951296u64, 16391337856u64, 16399726208u64, 16408116352u64, 16416505472u64,
16424892032u64, 16433282176u64, 16441668224u64, 16450058624u64, 16458448768u64,
16466836864u64, 16475224448u64, 16483613056u64, 16492001408u64, 16500391808u64,
16508779648u64, 16517166976u64, 16525555328u64, 16533944192u64, 16542330752u64,
16550719616u64, 16559110528u64, 16567497088u64, 16575888512u64, 16584274816u64,
16592665472u64, 16601051008u64, 16609442944u64, 16617832064u64, 16626218624u64,
16634607488u64, 16642996096u64, 16651385728u64, 16659773824u64, 16668163712u64,
16676552576u64, 16684938112u64, 16693328768u64, 16701718144u64, 16710095488u64,
16718492288u64, 16726883968u64, 16735272832u64, 16743661184u64, 16752049792u64,
16760436608u64, 16768827008u64, 16777214336u64, 16785599104u64, 16793992832u64,
16802381696u64, 16810768768u64, 16819151744u64, 16827542656u64, 16835934848u64,
16844323712u64, 16852711552u64, 16861101952u64, 16869489536u64, 16877876864u64,
16886265728u64, 16894653056u64, 16903044736u64, 16911431296u64, 16919821696u64,
16928207488u64, 16936592768u64, 16944987776u64, 16953375616u64, 16961763968u64,
16970152832u64, 16978540928u64, 16986929536u64, 16995319168u64, 17003704448u64,
17012096896u64, 17020481152u64, 17028870784u64, 17037262208u64, 17045649536u64,
17054039936u64, 17062426496u64, 17070814336u64, 17079205504u64, 17087592064u64,
17095978112u64, 17104369024u64, 17112759424u64, 17121147776u64, 17129536384u64,
17137926016u64, 17146314368u64, 17154700928u64, 17163089792u64, 17171480192u64,
17179864192u64, 17188256896u64, 17196644992u64, 17205033856u64, 17213423488u64,
17221811072u64, 17230198912u64, 17238588032u64, 17246976896u64, 17255360384u64,
17263754624u64, 17272143232u64, 17280530048u64, 17288918912u64, 17297309312u64,
17305696384u64, 17314085504u64, 17322475136u64, 17330863744u64, 17339252096u64,
17347640192u64, 17356026496u64, 17364413824u64, 17372796544u64, 17381190016u64,
17389583488u64, 17397972608u64, 17406360704u64, 17414748544u64, 17423135872u64,
17431527296u64, 17439915904u64, 17448303232u64, 17456691584u64, 17465081728u64,
17473468288u64, 17481857408u64, 17490247552u64, 17498635904u64, 17507022464u64,
17515409024u64, 17523801728u64, 17532189824u64, 17540577664u64, 17548966016u64,
17557353344u64, 17565741184u64, 17574131584u64, 17582519168u64, 17590907008u64,
17599296128u64, 17607687808u64, 17616076672u64, 17624455808u64, 17632852352u64,
17641238656u64, 17649630848u64, 17658018944u64, 17666403968u64, 17674794112u64,
17683178368u64, 17691573376u64, 17699962496u64, 17708350592u64, 17716739968u64,
17725126528u64, 17733517184u64, 17741898112u64, 17750293888u64, 17758673024u64,
17767070336u64, 17775458432u64, 17783848832u64, 17792236928u64, 17800625536u64,
17809012352u64, 17817402752u64, 17825785984u64, 17834178944u64, 17842563968u64,
17850955648u64, 17859344512u64, 17867732864u64, 17876119424u64, 17884511872u64,
17892900224u64, 17901287296u64, 17909677696u64, 17918058112u64, 17926451072u64,
17934843776u64, 17943230848u64, 17951609216u64, 17960008576u64, 17968397696u64,
17976784256u64, 17985175424u64, 17993564032u64, 18001952128u64, 18010339712u64,
18018728576u64, 18027116672u64, 18035503232u64, 18043894144u64, 18052283264u64,
18060672128u64, 18069056384u64, 18077449856u64, 18085837184u64, 18094225792u64,
18102613376u64, 18111004544u64, 18119388544u64, 18127781248u64, 18136170368u64,
18144558976u64, 18152947328u64, 18161336192u64, 18169724288u64, 18178108544u64,
18186498944u64, 18194886784u64, 18203275648u64, 18211666048u64, 18220048768u64,
18228444544u64, 18236833408u64, 18245220736u64
];
// Generated with the following Mathematica Code:
// GetCacheSizes[n_] := Module[{
// DataSetSizeBytesInit = 2^30,
// MixBytes = 128,
// DataSetGrowth = 2^23,
// HashBytes = 64,
// CacheMultiplier = 1024,
// j = 0},
// Reap[
// While[j < n,
// Module[{i = Floor[(DataSetSizeBytesInit + DataSetGrowth * j) / (CacheMultiplier * HashBytes)]},
// While[! PrimeQ[i], i--];
// Sow[i*HashBytes]; j++]]]][[2]][[1]]
pub const CACHE_SIZES: [u64; 2048] = [
16776896u64, 16907456u64, 17039296u64, 17170112u64, 17301056u64, 17432512u64, 17563072u64,
17693888u64, 17824192u64, 17955904u64, 18087488u64, 18218176u64, 18349504u64, 18481088u64,
18611392u64, 18742336u64, 18874304u64, 19004224u64, 19135936u64, 19267264u64, 19398208u64,
19529408u64, 19660096u64, 19791424u64, 19922752u64, 20053952u64, 20184896u64, 20315968u64,
20446912u64, 20576576u64, 20709184u64, 20840384u64, 20971072u64, 21102272u64, 21233216u64,
21364544u64, 21494848u64, 21626816u64, 21757376u64, 21887552u64, 22019392u64, 22151104u64,
22281536u64, 22412224u64, 22543936u64, 22675264u64, 22806464u64, 22935872u64, 23068096u64,
23198272u64, 23330752u64, 23459008u64, 23592512u64, 23723968u64, 23854912u64, 23986112u64,
24116672u64, 24247616u64, 24378688u64, 24509504u64, 24640832u64, 24772544u64, 24903488u64,
25034432u64, 25165376u64, 25296704u64, 25427392u64, 25558592u64, 25690048u64, 25820096u64,
25951936u64, 26081728u64, 26214208u64, 26345024u64, 26476096u64, 26606656u64, 26737472u64,
26869184u64, 26998208u64, 27131584u64, 27262528u64, 27393728u64, 27523904u64, 27655744u64,
27786688u64, 27917888u64, 28049344u64, 28179904u64, 28311488u64, 28441792u64, 28573504u64,
28700864u64, 28835648u64, 28966208u64, 29096768u64, 29228608u64, 29359808u64, 29490752u64,
29621824u64, 29752256u64, 29882816u64, 30014912u64, 30144448u64, 30273728u64, 30406976u64,
30538432u64, 30670784u64, 30799936u64, 30932672u64, 31063744u64, 31195072u64, 31325248u64,
31456192u64, 31588288u64, 31719232u64, 31850432u64, 31981504u64, 32110784u64, 32243392u64,
32372672u64, 32505664u64, 32636608u64, 32767808u64, 32897344u64, 33029824u64, 33160768u64,
33289664u64, 33423296u64, 33554368u64, 33683648u64, 33816512u64, 33947456u64, 34076992u64,
34208704u64, 34340032u64, 34471744u64, 34600256u64, 34734016u64, 34864576u64, 34993984u64,
35127104u64, 35258176u64, 35386688u64, 35518528u64, 35650624u64, 35782336u64, 35910976u64,
36044608u64, 36175808u64, 36305728u64, 36436672u64, 36568384u64, 36699968u64, 36830656u64,
36961984u64, 37093312u64, 37223488u64, 37355072u64, 37486528u64, 37617472u64, 37747904u64,
37879232u64, 38009792u64, 38141888u64, 38272448u64, 38403392u64, 38535104u64, 38660672u64,
38795584u64, 38925632u64, 39059264u64, 39190336u64, 39320768u64, 39452096u64, 39581632u64,
39713984u64, 39844928u64, 39974848u64, 40107968u64, 40238144u64, 40367168u64, 40500032u64,
40631744u64, 40762816u64, 40894144u64, 41023552u64, 41155904u64, 41286208u64, 41418304u64,
41547712u64, 41680448u64, 41811904u64, 41942848u64, 42073792u64, 42204992u64, 42334912u64,
42467008u64, 42597824u64, 42729152u64, 42860096u64, 42991552u64, 43122368u64, 43253696u64,
43382848u64, 43515712u64, 43646912u64, 43777088u64, 43907648u64, 44039104u64, 44170432u64,
44302144u64, 44433344u64, 44564288u64, 44694976u64, 44825152u64, 44956864u64, 45088448u64,
45219008u64, 45350464u64, 45481024u64, 45612608u64, 45744064u64, 45874496u64, 46006208u64,
46136768u64, 46267712u64, 46399424u64, 46529344u64, 46660672u64, 46791488u64, 46923328u64,
47053504u64, 47185856u64, 47316928u64, 47447872u64, 47579072u64, 47710144u64, 47839936u64,
47971648u64, 48103232u64, 48234176u64, 48365248u64, 48496192u64, 48627136u64, 48757312u64,
48889664u64, 49020736u64, 49149248u64, 49283008u64, 49413824u64, 49545152u64, 49675712u64,
49807168u64, 49938368u64, 50069056u64, 50200256u64, 50331584u64, 50462656u64, 50593472u64,
50724032u64, 50853952u64, 50986048u64, 51117632u64, 51248576u64, 51379904u64, 51510848u64,
51641792u64, 51773248u64, 51903296u64, 52035136u64, 52164032u64, 52297664u64, 52427968u64,
52557376u64, 52690112u64, 52821952u64, 52952896u64, 53081536u64, 53213504u64, 53344576u64,
53475776u64, 53608384u64, 53738816u64, 53870528u64, 54000832u64, 54131776u64, 54263744u64,
54394688u64, 54525248u64, 54655936u64, 54787904u64, 54918592u64, 55049152u64, 55181248u64,
55312064u64, 55442752u64, 55574336u64, 55705024u64, 55836224u64, 55967168u64, 56097856u64,
56228672u64, 56358592u64, 56490176u64, 56621888u64, 56753728u64, 56884928u64, 57015488u64,
57146816u64, 57278272u64, 57409216u64, 57540416u64, 57671104u64, 57802432u64, 57933632u64,
58064576u64, 58195264u64, 58326976u64, 58457408u64, 58588864u64, 58720192u64, 58849984u64,
58981696u64, 59113024u64, 59243456u64, 59375552u64, 59506624u64, 59637568u64, 59768512u64,
59897792u64, 60030016u64, 60161984u64, 60293056u64, 60423872u64, 60554432u64, 60683968u64,
60817216u64, 60948032u64, 61079488u64, 61209664u64, 61341376u64, 61471936u64, 61602752u64,
61733696u64, 61865792u64, 61996736u64, 62127808u64, 62259136u64, 62389568u64, 62520512u64,
62651584u64, 62781632u64, 62910784u64, 63045056u64, 63176128u64, 63307072u64, 63438656u64,
63569216u64, 63700928u64, 63831616u64, 63960896u64, 64093888u64, 64225088u64, 64355392u64,
64486976u64, 64617664u64, 64748608u64, 64879424u64, 65009216u64, 65142464u64, 65273792u64,
65402816u64, 65535424u64, 65666752u64, 65797696u64, 65927744u64, 66060224u64, 66191296u64,
66321344u64, 66453056u64, 66584384u64, 66715328u64, 66846656u64, 66977728u64, 67108672u64,
67239104u64, 67370432u64, 67501888u64, 67631296u64, 67763776u64, 67895104u64, 68026304u64,
68157248u64, 68287936u64, 68419264u64, 68548288u64, 68681408u64, 68811968u64, 68942912u64,
69074624u64, 69205568u64, 69337024u64, 69467584u64, 69599168u64, 69729472u64, 69861184u64,
69989824u64, 70122944u64, 70253888u64, 70385344u64, 70515904u64, 70647232u64, 70778816u64,
70907968u64, 71040832u64, 71171648u64, 71303104u64, 71432512u64, 71564992u64, 71695168u64,
71826368u64, 71958464u64, 72089536u64, 72219712u64, 72350144u64, 72482624u64, 72613568u64,
72744512u64, 72875584u64, 73006144u64, 73138112u64, 73268672u64, 73400128u64, 73530944u64,
73662272u64, 73793344u64, 73924544u64, 74055104u64, 74185792u64, 74316992u64, 74448832u64,
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