diff options
author | Woohyun Jung <wh0705.jung@samsung.com> | 2023-03-14 19:16:38 +0900 |
---|---|---|
committer | Woohyun Jung <wh0705.jung@samsung.com> | 2023-03-14 19:16:38 +0900 |
commit | 6fa20a0d535bce61f979c2e218a13361e12a7249 (patch) | |
tree | 432dfd73212a9364a8234acec982ce06d313a508 | |
download | rust-crc32fast-upstream.tar.gz rust-crc32fast-upstream.tar.bz2 rust-crc32fast-upstream.zip |
Import crc32fast 1.3.2upstream/1.3.2upstream
-rw-r--r-- | .cargo_vcs_info.json | 6 | ||||
-rw-r--r-- | .gitignore | 6 | ||||
-rw-r--r-- | .travis.yml | 50 | ||||
-rw-r--r-- | Cargo.toml | 40 | ||||
-rw-r--r-- | Cargo.toml.orig | 29 | ||||
-rw-r--r-- | LICENSE-APACHE | 202 | ||||
-rw-r--r-- | LICENSE-MIT | 21 | ||||
-rw-r--r-- | README.md | 93 | ||||
-rw-r--r-- | benches/bench.rs | 53 | ||||
-rw-r--r-- | build.rs | 35 | ||||
-rw-r--r-- | src/baseline.rs | 94 | ||||
-rw-r--r-- | src/combine.rs | 77 | ||||
-rw-r--r-- | src/lib.rs | 235 | ||||
-rw-r--r-- | src/specialized/aarch64.rs | 88 | ||||
-rw-r--r-- | src/specialized/mod.rs | 37 | ||||
-rw-r--r-- | src/specialized/pclmulqdq.rs | 225 | ||||
-rw-r--r-- | src/table.rs | 629 |
17 files changed, 1920 insertions, 0 deletions
diff --git a/.cargo_vcs_info.json b/.cargo_vcs_info.json new file mode 100644 index 0000000..492a5e3 --- /dev/null +++ b/.cargo_vcs_info.json @@ -0,0 +1,6 @@ +{ + "git": { + "sha1": "e9c65bdb6d982cb7a8593408dca81cca2932bdc6" + }, + "path_in_vcs": "" +}
\ No newline at end of file diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..7d5914e --- /dev/null +++ b/.gitignore @@ -0,0 +1,6 @@ +/target +/fuzz/target +/fuzz/out +/fuzz/in +**/*.rs.bk +Cargo.lock diff --git a/.travis.yml b/.travis.yml new file mode 100644 index 0000000..d97e86f --- /dev/null +++ b/.travis.yml @@ -0,0 +1,50 @@ +language: rust +services: docker +cache: + - cargo + +matrix: + include: + - rust: 1.46.0 # MSRV + - rust: stable + - rust: beta + - rust: nightly + - os: osx + # Tier 1 + - env: CROSS_TEST=i686-unknown-linux-gnu + # Tier 2 + - env: CROSS_TEST=aarch64-unknown-linux-gnu + - env: CROSS_CHECK=wasm32-unknown-unknown + +script: + - | + set -e + if [[ "$TRAVIS_RUST_VERSION" == nightly ]] + then + # Make sure the benchmarks compile + cargo build --benches --all + + export ASAN_OPTIONS="detect_odr_violation=0 detect_leaks=0" + export RUST_BACKTRACE=1 + + # Run address sanitizer + RUSTFLAGS="-Z sanitizer=address" \ + cargo test --lib --target x86_64-unknown-linux-gnu + fi + - | + set -e + if [[ "$CROSS_CHECK" ]] + then + rustup target add $CROSS_CHECK + cargo check --target $CROSS_CHECK + cargo check --target $CROSS_CHECK --no-default-features + elif [[ "$CROSS_TEST" ]] + then + cargo install --force cross + cross test --target=$CROSS_TEST + cross check --target $CROSS_TEST --no-default-features + else + cargo test --no-fail-fast + cargo test --no-fail-fast --release + cargo check --no-default-features + fi diff --git a/Cargo.toml b/Cargo.toml new file mode 100644 index 0000000..79c0b04 --- /dev/null +++ b/Cargo.toml @@ -0,0 +1,40 @@ +# THIS FILE IS AUTOMATICALLY GENERATED BY CARGO +# +# When uploading crates to the registry Cargo will automatically +# "normalize" Cargo.toml files for maximal compatibility +# with all versions of Cargo and also rewrite `path` dependencies +# to registry (e.g., crates.io) dependencies. +# +# If you are reading this file be aware that the original Cargo.toml +# will likely look very different (and much more reasonable). +# See Cargo.toml.orig for the original contents. + +[package] +name = "crc32fast" +version = "1.3.2" +authors = ["Sam Rijs <srijs@airpost.net>", "Alex Crichton <alex@alexcrichton.com>"] +description = "Fast, SIMD-accelerated CRC32 (IEEE) checksum computation" +readme = "README.md" +keywords = ["checksum", "crc", "crc32", "simd", "fast"] +license = "MIT OR Apache-2.0" +repository = "https://github.com/srijs/rust-crc32fast" + +[[bench]] +name = "bench" +harness = false +[dependencies.cfg-if] +version = "1.0" +[dev-dependencies.bencher] +version = "0.1" + +[dev-dependencies.quickcheck] +version = "1.0" +default-features = false + +[dev-dependencies.rand] +version = "0.8" + +[features] +default = ["std"] +nightly = [] +std = [] diff --git a/Cargo.toml.orig b/Cargo.toml.orig new file mode 100644 index 0000000..83804b3 --- /dev/null +++ b/Cargo.toml.orig @@ -0,0 +1,29 @@ +[package] +name = "crc32fast" +version = "1.3.2" +license = "MIT OR Apache-2.0" +authors = [ + "Sam Rijs <srijs@airpost.net>", + "Alex Crichton <alex@alexcrichton.com>" +] +description = "Fast, SIMD-accelerated CRC32 (IEEE) checksum computation" +repository = "https://github.com/srijs/rust-crc32fast" +readme = "README.md" +keywords = ["checksum", "crc", "crc32", "simd", "fast"] + +[dependencies] +cfg-if = "1.0" + +[dev-dependencies] +bencher = "0.1" +quickcheck = { version = "1.0", default-features = false } +rand = "0.8" + +[features] +default = ["std"] +std = [] +nightly = [] + +[[bench]] +name = "bench" +harness = false diff --git a/LICENSE-APACHE b/LICENSE-APACHE new file mode 100644 index 0000000..8f71f43 --- /dev/null +++ b/LICENSE-APACHE @@ -0,0 +1,202 @@ + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. Definitions. + + "License" shall mean the terms and conditions for use, reproduction, + and distribution as defined by Sections 1 through 9 of this document. + + "Licensor" shall mean the copyright owner or entity authorized by + the copyright owner that is granting the License. + + "Legal Entity" shall mean the union of the acting entity and all + other entities that control, are controlled by, or are under common + control with that entity. For the purposes of this definition, + "control" means (i) the power, direct or indirect, to cause the + direction or management of such entity, whether by contract or + otherwise, or (ii) ownership of fifty percent (50%) or more of the + outstanding shares, or (iii) beneficial ownership of such entity. + + "You" (or "Your") shall mean an individual or Legal Entity + exercising permissions granted by this License. + + "Source" form shall mean the preferred form for making modifications, + including but not limited to software source code, documentation + source, and configuration files. + + "Object" form shall mean any form resulting from mechanical + transformation or translation of a Source form, including but + not limited to compiled object code, generated documentation, + and conversions to other media types. + + "Work" shall mean the work of authorship, whether in Source or + Object form, made available under the License, as indicated by a + copyright notice that is included in or attached to the work + (an example is provided in the Appendix below). + + "Derivative Works" shall mean any work, whether in Source or Object + form, that is based on (or derived from) the Work and for which the + editorial revisions, annotations, elaborations, or other modifications + represent, as a whole, an original work of authorship. For the purposes + of this License, Derivative Works shall not include works that remain + separable from, or merely link (or bind by name) to the interfaces of, + the Work and Derivative Works thereof. + + "Contribution" shall mean any work of authorship, including + the original version of the Work and any modifications or additions + to that Work or Derivative Works thereof, that is intentionally + submitted to Licensor for inclusion in the Work by the copyright owner + or by an individual or Legal Entity authorized to submit on behalf of + the copyright owner. For the purposes of this definition, "submitted" + means any form of electronic, verbal, or written communication sent + to the Licensor or its representatives, including but not limited to + communication on electronic mailing lists, source code control systems, + and issue tracking systems that are managed by, or on behalf of, the + Licensor for the purpose of discussing and improving the Work, but + excluding communication that is conspicuously marked or otherwise + designated in writing by the copyright owner as "Not a Contribution." + + "Contributor" shall mean Licensor and any individual or Legal Entity + on behalf of whom a Contribution has been received by Licensor and + subsequently incorporated within the Work. + + 2. Grant of Copyright License. Subject to the terms and conditions of + this License, each Contributor hereby grants to You a perpetual, + worldwide, non-exclusive, no-charge, royalty-free, irrevocable + copyright license to reproduce, prepare Derivative Works of, + publicly display, publicly perform, sublicense, and distribute the + Work and such Derivative Works in Source or Object form. + + 3. Grant of Patent License. Subject to the terms and conditions of + this License, each Contributor hereby grants to You a perpetual, + worldwide, non-exclusive, no-charge, royalty-free, irrevocable + (except as stated in this section) patent license to make, have made, + use, offer to sell, sell, import, and otherwise transfer the Work, + where such license applies only to those patent claims licensable + by such Contributor that are necessarily infringed by their + Contribution(s) alone or by combination of their Contribution(s) + with the Work to which such Contribution(s) was submitted. If You + institute patent litigation against any entity (including a + cross-claim or counterclaim in a lawsuit) alleging that the Work + or a Contribution incorporated within the Work constitutes direct + or contributory patent infringement, then any patent licenses + granted to You under this License for that Work shall terminate + as of the date such litigation is filed. + + 4. Redistribution. You may reproduce and distribute copies of the + Work or Derivative Works thereof in any medium, with or without + modifications, and in Source or Object form, provided that You + meet the following conditions: + + (a) You must give any other recipients of the Work or + Derivative Works a copy of this License; and + + (b) You must cause any modified files to carry prominent notices + stating that You changed the files; and + + (c) You must retain, in the Source form of any Derivative Works + that You distribute, all copyright, patent, trademark, and + attribution notices from the Source form of the Work, + excluding those notices that do not pertain to any part of + the Derivative Works; and + + (d) If the Work includes a "NOTICE" text file as part of its + distribution, then any Derivative Works that You distribute must + include a readable copy of the attribution notices contained + within such NOTICE file, excluding those notices that do not + pertain to any part of the Derivative Works, in at least one + of the following places: within a NOTICE text file distributed + as part of the Derivative Works; within the Source form or + documentation, if provided along with the Derivative Works; or, + within a display generated by the Derivative Works, if and + wherever such third-party notices normally appear. The contents + of the NOTICE file are for informational purposes only and + do not modify the License. You may add Your own attribution + notices within Derivative Works that You distribute, alongside + or as an addendum to the NOTICE text from the Work, provided + that such additional attribution notices cannot be construed + as modifying the License. + + You may add Your own copyright statement to Your modifications and + may provide additional or different license terms and conditions + for use, reproduction, or distribution of Your modifications, or + for any such Derivative Works as a whole, provided Your use, + reproduction, and distribution of the Work otherwise complies with + the conditions stated in this License. + + 5. Submission of Contributions. Unless You explicitly state otherwise, + any Contribution intentionally submitted for inclusion in the Work + by You to the Licensor shall be under the terms and conditions of + this License, without any additional terms or conditions. + Notwithstanding the above, nothing herein shall supersede or modify + the terms of any separate license agreement you may have executed + with Licensor regarding such Contributions. + + 6. Trademarks. This License does not grant permission to use the trade + names, trademarks, service marks, or product names of the Licensor, + except as required for reasonable and customary use in describing the + origin of the Work and reproducing the content of the NOTICE file. + + 7. Disclaimer of Warranty. Unless required by applicable law or + agreed to in writing, Licensor provides the Work (and each + Contributor provides its Contributions) on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or + implied, including, without limitation, any warranties or conditions + of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A + PARTICULAR PURPOSE. You are solely responsible for determining the + appropriateness of using or redistributing the Work and assume any + risks associated with Your exercise of permissions under this License. + + 8. Limitation of Liability. In no event and under no legal theory, + whether in tort (including negligence), contract, or otherwise, + unless required by applicable law (such as deliberate and grossly + negligent acts) or agreed to in writing, shall any Contributor be + liable to You for damages, including any direct, indirect, special, + incidental, or consequential damages of any character arising as a + result of this License or out of the use or inability to use the + Work (including but not limited to damages for loss of goodwill, + work stoppage, computer failure or malfunction, or any and all + other commercial damages or losses), even if such Contributor + has been advised of the possibility of such damages. + + 9. Accepting Warranty or Additional Liability. While redistributing + the Work or Derivative Works thereof, You may choose to offer, + and charge a fee for, acceptance of support, warranty, indemnity, + or other liability obligations and/or rights consistent with this + License. However, in accepting such obligations, You may act only + on Your own behalf and on Your sole responsibility, not on behalf + of any other Contributor, and only if You agree to indemnify, + defend, and hold each Contributor harmless for any liability + incurred by, or claims asserted against, such Contributor by reason + of your accepting any such warranty or additional liability. + + END OF TERMS AND CONDITIONS + + APPENDIX: How to apply the Apache License to your work. + + To apply the Apache License to your work, attach the following + boilerplate notice, with the fields enclosed by brackets "{}" + replaced with your own identifying information. (Don't include + the brackets!) The text should be enclosed in the appropriate + comment syntax for the file format. We also recommend that a + file or class name and description of purpose be included on the + same "printed page" as the copyright notice for easier + identification within third-party archives. + + Copyright {yyyy} {name of copyright owner} + + Licensed under the Apache License, Version 2.0 (the "License"); + you may not use this file except in compliance with the License. + You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + + Unless required by applicable law or agreed to in writing, software + distributed under the License is distributed on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + See the License for the specific language governing permissions and + limitations under the License. + diff --git a/LICENSE-MIT b/LICENSE-MIT new file mode 100644 index 0000000..f558267 --- /dev/null +++ b/LICENSE-MIT @@ -0,0 +1,21 @@ +MIT License + +Copyright (c) 2018 Sam Rijs, Alex Crichton and contributors + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all +copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +SOFTWARE. diff --git a/README.md b/README.md new file mode 100644 index 0000000..b0a4827 --- /dev/null +++ b/README.md @@ -0,0 +1,93 @@ +# crc32fast [![Build Status][travis-img]][travis] [![Crates.io][crates-img]][crates] [![Documentation][docs-img]][docs] + +[travis-img]: https://travis-ci.com/srijs/rust-crc32fast.svg?branch=master +[travis]: https://travis-ci.com/srijs/rust-crc32fast +[crates-img]: https://img.shields.io/crates/v/crc32fast.svg +[crates]: https://crates.io/crates/crc32fast +[docs-img]: https://docs.rs/crc32fast/badge.svg +[docs]: https://docs.rs/crc32fast + +_Fast, SIMD-accelerated CRC32 (IEEE) checksum computation_ + +## Usage + +### Simple usage + +For simple use-cases, you can call the `hash` convenience function to +directly compute the CRC32 checksum for a given byte slice: + +```rust +let checksum = crc32fast::hash(b"foo bar baz"); +``` + +### Advanced usage + +For use-cases that require more flexibility or performance, for example when +processing large amounts of data, you can create and manipulate a `Hasher`: + +```rust +use crc32fast::Hasher; + +let mut hasher = Hasher::new(); +hasher.update(b"foo bar baz"); +let checksum = hasher.finalize(); +``` + +## Performance + +This crate contains multiple CRC32 implementations: + +- A fast baseline implementation which processes up to 16 bytes per iteration +- An optimized implementation for modern `x86` using `sse` and `pclmulqdq` instructions +- An optimized implementation for `aarch64` using `crc32` instructions + +Calling the `Hasher::new` constructor at runtime will perform a feature detection to select the most +optimal implementation for the current CPU feature set. + +| crate | version | variant | ns/iter | MB/s | +| ----------------------------------- | ------- | --------- | ------- | ---- | +| [crc](https://crates.io/crates/crc) | 1.8.1 | n/a | 4,926 | 207 | +| crc32fast (this crate) | 1.0.0 | baseline | 683 | 1499 | +| crc32fast (this crate) | 1.0.0 | pclmulqdq | 140 | 7314 | + +## Memory Safety + +Due to the use of SIMD intrinsics for the optimized implementations, this crate contains some amount of `unsafe` code. + +In order to ensure memory safety, the relevant code has been fuzz tested using [afl.rs](https://github.com/rust-fuzz/afl.rs) with millions of iterations in both `debug` and `release` build settings. You can inspect the test setup in the `fuzz` sub-directory, which also has instructions on how to run the tests yourself. + +On top of that, every commit is tested using an address sanitizer in CI to catch any out of bounds memory accesses. + +Even though neither fuzzing nor sanitization has revealed any safety bugs yet, please don't hesitate to file an issue if you run into any crashes or other unexpected behaviour. + +## Available feature flags + +### `std` (default: enabled) + +This library supports being built without the Rust `std` library, which is useful for low-level use-cases such as embedded where no operating system is available. To build the crate in a `no_std` context, disable the default `std` feature. + +Note: Because runtime CPU feature detection requires OS support, the specialized SIMD implementations will be unavailable when the `std` feature is disabled. + +### `nightly` (default: disabled) + +This feature flag enables unstable features that are only available on the `nightly` channel. Keep in mind that when enabling this feature flag, you +might experience breaking changes when updating compiler versions. + +Currently, enabling this feature flag will make the optimized `aarch64` implementation available. + +## License + +This project is licensed under either of + +- Apache License, Version 2.0, ([LICENSE-APACHE](LICENSE-APACHE) or + http://www.apache.org/licenses/LICENSE-2.0) +- MIT license ([LICENSE-MIT](LICENSE-MIT) or + http://opensource.org/licenses/MIT) + +at your option. + +### Contribution + +Unless you explicitly state otherwise, any contribution intentionally submitted +for inclusion in this project by you, as defined in the Apache-2.0 license, +shall be dual licensed as above, without any additional terms or conditions. diff --git a/benches/bench.rs b/benches/bench.rs new file mode 100644 index 0000000..53b3d83 --- /dev/null +++ b/benches/bench.rs @@ -0,0 +1,53 @@ +#[macro_use] +extern crate bencher; +extern crate crc32fast; +extern crate rand; + +use bencher::Bencher; +use crc32fast::Hasher; +use rand::Rng; + +fn bench(b: &mut Bencher, size: usize, hasher_init: Hasher) { + let mut bytes = vec![0u8; size]; + rand::thread_rng().fill(&mut bytes[..]); + + b.iter(|| { + let mut hasher = hasher_init.clone(); + hasher.update(&bytes); + bencher::black_box(hasher.finalize()) + }); + + b.bytes = size as u64; +} + +fn bench_kilobyte_baseline(b: &mut Bencher) { + bench(b, 1024, Hasher::internal_new_baseline(0, 0)) +} + +fn bench_kilobyte_specialized(b: &mut Bencher) { + bench(b, 1024, Hasher::internal_new_specialized(0, 0).unwrap()) +} + +fn bench_megabyte_baseline(b: &mut Bencher) { + bench(b, 1024 * 1024, Hasher::internal_new_baseline(0, 0)) +} + +fn bench_megabyte_specialized(b: &mut Bencher) { + bench( + b, + 1024 * 1024, + Hasher::internal_new_specialized(0, 0).unwrap(), + ) +} + +benchmark_group!( + bench_baseline, + bench_kilobyte_baseline, + bench_megabyte_baseline +); +benchmark_group!( + bench_specialized, + bench_kilobyte_specialized, + bench_megabyte_specialized +); +benchmark_main!(bench_baseline, bench_specialized); diff --git a/build.rs b/build.rs new file mode 100644 index 0000000..563cb21 --- /dev/null +++ b/build.rs @@ -0,0 +1,35 @@ +use std::env; +use std::process::Command; +use std::str; + +fn main() { + println!("cargo:rerun-if-changed=build.rs"); + + let minor = match rustc_minor_version() { + Some(n) => n, + None => return, + }; + + if minor >= 27 { + println!("cargo:rustc-cfg=crc32fast_stdarchx86"); + } +} + +fn rustc_minor_version() -> Option<u32> { + macro_rules! otry { + ($e:expr) => { + match $e { + Some(e) => e, + None => return None, + } + }; + } + let rustc = otry!(env::var_os("RUSTC")); + let output = otry!(Command::new(rustc).arg("--version").output().ok()); + let version = otry!(str::from_utf8(&output.stdout).ok()); + let mut pieces = version.split('.'); + if pieces.next() != Some("rustc 1") { + return None; + } + otry!(pieces.next()).parse().ok() +} diff --git a/src/baseline.rs b/src/baseline.rs new file mode 100644 index 0000000..fbc4136 --- /dev/null +++ b/src/baseline.rs @@ -0,0 +1,94 @@ +use table::CRC32_TABLE; + +#[derive(Clone)] +pub struct State { + state: u32, +} + +impl State { + pub fn new(state: u32) -> Self { + State { state } + } + + pub fn update(&mut self, buf: &[u8]) { + self.state = update_fast_16(self.state, buf); + } + + pub fn finalize(self) -> u32 { + self.state + } + + pub fn reset(&mut self) { + self.state = 0; + } + + pub fn combine(&mut self, other: u32, amount: u64) { + self.state = ::combine::combine(self.state, other, amount); + } +} + +pub(crate) fn update_fast_16(prev: u32, mut buf: &[u8]) -> u32 { + const UNROLL: usize = 4; + const BYTES_AT_ONCE: usize = 16 * UNROLL; + + let mut crc = !prev; + + while buf.len() >= BYTES_AT_ONCE { + for _ in 0..UNROLL { + crc = CRC32_TABLE[0x0][buf[0xf] as usize] + ^ CRC32_TABLE[0x1][buf[0xe] as usize] + ^ CRC32_TABLE[0x2][buf[0xd] as usize] + ^ CRC32_TABLE[0x3][buf[0xc] as usize] + ^ CRC32_TABLE[0x4][buf[0xb] as usize] + ^ CRC32_TABLE[0x5][buf[0xa] as usize] + ^ CRC32_TABLE[0x6][buf[0x9] as usize] + ^ CRC32_TABLE[0x7][buf[0x8] as usize] + ^ CRC32_TABLE[0x8][buf[0x7] as usize] + ^ CRC32_TABLE[0x9][buf[0x6] as usize] + ^ CRC32_TABLE[0xa][buf[0x5] as usize] + ^ CRC32_TABLE[0xb][buf[0x4] as usize] + ^ CRC32_TABLE[0xc][buf[0x3] as usize ^ ((crc >> 0x18) & 0xFF) as usize] + ^ CRC32_TABLE[0xd][buf[0x2] as usize ^ ((crc >> 0x10) & 0xFF) as usize] + ^ CRC32_TABLE[0xe][buf[0x1] as usize ^ ((crc >> 0x08) & 0xFF) as usize] + ^ CRC32_TABLE[0xf][buf[0x0] as usize ^ ((crc >> 0x00) & 0xFF) as usize]; + buf = &buf[16..]; + } + } + + update_slow(!crc, buf) +} + +pub(crate) fn update_slow(prev: u32, buf: &[u8]) -> u32 { + let mut crc = !prev; + + for &byte in buf.iter() { + crc = CRC32_TABLE[0][((crc as u8) ^ byte) as usize] ^ (crc >> 8); + } + + !crc +} + +#[cfg(test)] +mod test { + #[test] + fn slow() { + assert_eq!(super::update_slow(0, b""), 0); + + // test vectors from the iPXE project (input and output are bitwise negated) + assert_eq!(super::update_slow(!0x12345678, b""), !0x12345678); + assert_eq!(super::update_slow(!0xffffffff, b"hello world"), !0xf2b5ee7a); + assert_eq!(super::update_slow(!0xffffffff, b"hello"), !0xc9ef5979); + assert_eq!(super::update_slow(!0xc9ef5979, b" world"), !0xf2b5ee7a); + + // Some vectors found on Rosetta code + assert_eq!(super::update_slow(0, b"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"), 0x190A55AD); + assert_eq!(super::update_slow(0, b"\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF\xFF"), 0xFF6CAB0B); + assert_eq!(super::update_slow(0, b"\x00\x01\x02\x03\x04\x05\x06\x07\x08\x09\x0A\x0B\x0C\x0D\x0E\x0F\x10\x11\x12\x13\x14\x15\x16\x17\x18\x19\x1A\x1B\x1C\x1D\x1E\x1F"), 0x91267E8A); + } + + quickcheck! { + fn fast_16_is_the_same_as_slow(crc: u32, bytes: Vec<u8>) -> bool { + super::update_fast_16(crc, &bytes) == super::update_slow(crc, &bytes) + } + } +} diff --git a/src/combine.rs b/src/combine.rs new file mode 100644 index 0000000..4dd0ee0 --- /dev/null +++ b/src/combine.rs @@ -0,0 +1,77 @@ +const GF2_DIM: usize = 32; + +fn gf2_matrix_times(mat: &[u32; GF2_DIM], mut vec: u32) -> u32 { + let mut sum = 0; + let mut idx = 0; + while vec > 0 { + if vec & 1 == 1 { + sum ^= mat[idx]; + } + vec >>= 1; + idx += 1; + } + return sum; +} + +fn gf2_matrix_square(square: &mut [u32; GF2_DIM], mat: &[u32; GF2_DIM]) { + for n in 0..GF2_DIM { + square[n] = gf2_matrix_times(mat, mat[n]); + } +} + +pub(crate) fn combine(mut crc1: u32, crc2: u32, mut len2: u64) -> u32 { + let mut row: u32; + let mut even = [0u32; GF2_DIM]; /* even-power-of-two zeros operator */ + let mut odd = [0u32; GF2_DIM]; /* odd-power-of-two zeros operator */ + + /* degenerate case (also disallow negative lengths) */ + if len2 <= 0 { + return crc1; + } + + /* put operator for one zero bit in odd */ + odd[0] = 0xedb88320; /* CRC-32 polynomial */ + row = 1; + for n in 1..GF2_DIM { + odd[n] = row; + row <<= 1; + } + + /* put operator for two zero bits in even */ + gf2_matrix_square(&mut even, &odd); + + /* put operator for four zero bits in odd */ + gf2_matrix_square(&mut odd, &even); + + /* apply len2 zeros to crc1 (first square will put the operator for one + zero byte, eight zero bits, in even) */ + loop { + /* apply zeros operator for this bit of len2 */ + gf2_matrix_square(&mut even, &odd); + if len2 & 1 == 1 { + crc1 = gf2_matrix_times(&even, crc1); + } + len2 >>= 1; + + /* if no more bits set, then done */ + if len2 == 0 { + break; + } + + /* another iteration of the loop with odd and even swapped */ + gf2_matrix_square(&mut odd, &even); + if len2 & 1 == 1 { + crc1 = gf2_matrix_times(&odd, crc1); + } + len2 >>= 1; + + /* if no more bits set, then done */ + if len2 == 0 { + break; + } + } + + /* return combined crc */ + crc1 ^= crc2; + return crc1; +} diff --git a/src/lib.rs b/src/lib.rs new file mode 100644 index 0000000..8c4f9a9 --- /dev/null +++ b/src/lib.rs @@ -0,0 +1,235 @@ +//! Fast, SIMD-accelerated CRC32 (IEEE) checksum computation. +//! +//! ## Usage +//! +//! ### Simple usage +//! +//! For simple use-cases, you can call the [`hash()`] convenience function to +//! directly compute the CRC32 checksum for a given byte slice: +//! +//! ```rust +//! let checksum = crc32fast::hash(b"foo bar baz"); +//! ``` +//! +//! ### Advanced usage +//! +//! For use-cases that require more flexibility or performance, for example when +//! processing large amounts of data, you can create and manipulate a [`Hasher`]: +//! +//! ```rust +//! use crc32fast::Hasher; +//! +//! let mut hasher = Hasher::new(); +//! hasher.update(b"foo bar baz"); +//! let checksum = hasher.finalize(); +//! ``` +//! +//! ## Performance +//! +//! This crate contains multiple CRC32 implementations: +//! +//! - A fast baseline implementation which processes up to 16 bytes per iteration +//! - An optimized implementation for modern `x86` using `sse` and `pclmulqdq` instructions +//! +//! Calling the [`Hasher::new`] constructor at runtime will perform a feature detection to select the most +//! optimal implementation for the current CPU feature set. + +#![cfg_attr(not(feature = "std"), no_std)] +#![cfg_attr( + all(feature = "nightly", target_arch = "aarch64"), + feature(stdsimd, aarch64_target_feature) +)] + +#[deny(missing_docs)] +#[cfg(test)] +#[macro_use] +extern crate quickcheck; + +#[macro_use] +extern crate cfg_if; + +#[cfg(feature = "std")] +use std as core; + +use core::fmt; +use core::hash; + +mod baseline; +mod combine; +mod specialized; +mod table; + +/// Computes the CRC32 hash of a byte slice. +/// +/// Check out [`Hasher`] for more advanced use-cases. +pub fn hash(buf: &[u8]) -> u32 { + let mut h = Hasher::new(); + h.update(buf); + h.finalize() +} + +#[derive(Clone)] +enum State { + Baseline(baseline::State), + Specialized(specialized::State), +} + +#[derive(Clone)] +/// Represents an in-progress CRC32 computation. +pub struct Hasher { + amount: u64, + state: State, +} + +const DEFAULT_INIT_STATE: u32 = 0; + +impl Hasher { + /// Create a new `Hasher`. + /// + /// This will perform a CPU feature detection at runtime to select the most + /// optimal implementation for the current processor architecture. + pub fn new() -> Self { + Self::new_with_initial(DEFAULT_INIT_STATE) + } + + /// Create a new `Hasher` with an initial CRC32 state. + /// + /// This works just like `Hasher::new`, except that it allows for an initial + /// CRC32 state to be passed in. + pub fn new_with_initial(init: u32) -> Self { + Self::new_with_initial_len(init, 0) + } + + /// Create a new `Hasher` with an initial CRC32 state. + /// + /// As `new_with_initial`, but also accepts a length (in bytes). The + /// resulting object can then be used with `combine` to compute `crc(a || + /// b)` from `crc(a)`, `crc(b)`, and `len(b)`. + pub fn new_with_initial_len(init: u32, amount: u64) -> Self { + Self::internal_new_specialized(init, amount) + .unwrap_or_else(|| Self::internal_new_baseline(init, amount)) + } + + #[doc(hidden)] + // Internal-only API. Don't use. + pub fn internal_new_baseline(init: u32, amount: u64) -> Self { + Hasher { + amount, + state: State::Baseline(baseline::State::new(init)), + } + } + + #[doc(hidden)] + // Internal-only API. Don't use. + pub fn internal_new_specialized(init: u32, amount: u64) -> Option<Self> { + { + if let Some(state) = specialized::State::new(init) { + return Some(Hasher { + amount, + state: State::Specialized(state), + }); + } + } + None + } + + /// Process the given byte slice and update the hash state. + pub fn update(&mut self, buf: &[u8]) { + self.amount += buf.len() as u64; + match self.state { + State::Baseline(ref mut state) => state.update(buf), + State::Specialized(ref mut state) => state.update(buf), + } + } + + /// Finalize the hash state and return the computed CRC32 value. + pub fn finalize(self) -> u32 { + match self.state { + State::Baseline(state) => state.finalize(), + State::Specialized(state) => state.finalize(), + } + } + + /// Reset the hash state. + pub fn reset(&mut self) { + self.amount = 0; + match self.state { + State::Baseline(ref mut state) => state.reset(), + State::Specialized(ref mut state) => state.reset(), + } + } + + /// Combine the hash state with the hash state for the subsequent block of bytes. + pub fn combine(&mut self, other: &Self) { + self.amount += other.amount; + let other_crc = other.clone().finalize(); + match self.state { + State::Baseline(ref mut state) => state.combine(other_crc, other.amount), + State::Specialized(ref mut state) => state.combine(other_crc, other.amount), + } + } +} + +impl fmt::Debug for Hasher { + fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { + f.debug_struct("crc32fast::Hasher").finish() + } +} + +impl Default for Hasher { + fn default() -> Self { + Self::new() + } +} + +impl hash::Hasher for Hasher { + fn write(&mut self, bytes: &[u8]) { + self.update(bytes) + } + + fn finish(&self) -> u64 { + u64::from(self.clone().finalize()) + } +} + +#[cfg(test)] +mod test { + use super::Hasher; + + quickcheck! { + fn combine(bytes_1: Vec<u8>, bytes_2: Vec<u8>) -> bool { + let mut hash_a = Hasher::new(); + hash_a.update(&bytes_1); + hash_a.update(&bytes_2); + let mut hash_b = Hasher::new(); + hash_b.update(&bytes_2); + let mut hash_c = Hasher::new(); + hash_c.update(&bytes_1); + hash_c.combine(&hash_b); + + hash_a.finalize() == hash_c.finalize() + } + + fn combine_from_len(bytes_1: Vec<u8>, bytes_2: Vec<u8>) -> bool { + let mut hash_a = Hasher::new(); + hash_a.update(&bytes_1); + let a = hash_a.finalize(); + + let mut hash_b = Hasher::new(); + hash_b.update(&bytes_2); + let b = hash_b.finalize(); + + let mut hash_ab = Hasher::new(); + hash_ab.update(&bytes_1); + hash_ab.update(&bytes_2); + let ab = hash_ab.finalize(); + + let mut reconstructed = Hasher::new_with_initial_len(a, bytes_1.len() as u64); + let hash_b_reconstructed = Hasher::new_with_initial_len(b, bytes_2.len() as u64); + + reconstructed.combine(&hash_b_reconstructed); + + reconstructed.finalize() == ab + } + } +} diff --git a/src/specialized/aarch64.rs b/src/specialized/aarch64.rs new file mode 100644 index 0000000..49de6b0 --- /dev/null +++ b/src/specialized/aarch64.rs @@ -0,0 +1,88 @@ +use std::arch::aarch64 as arch; + +#[derive(Clone)] +pub struct State { + state: u32, +} + +impl State { + pub fn new(state: u32) -> Option<Self> { + if std::arch::is_aarch64_feature_detected!("crc") { + // SAFETY: The conditions above ensure that all + // required instructions are supported by the CPU. + Some(Self { state }) + } else { + None + } + } + + pub fn update(&mut self, buf: &[u8]) { + // SAFETY: The `State::new` constructor ensures that all + // required instructions are supported by the CPU. + self.state = unsafe { calculate(self.state, buf) } + } + + pub fn finalize(self) -> u32 { + self.state + } + + pub fn reset(&mut self) { + self.state = 0; + } + + pub fn combine(&mut self, other: u32, amount: u64) { + self.state = ::combine::combine(self.state, other, amount); + } +} + +// target_feature is necessary to allow rustc to inline the crc32* wrappers +#[target_feature(enable = "crc")] +pub unsafe fn calculate(crc: u32, data: &[u8]) -> u32 { + let mut c32 = !crc; + let (pre_quad, quads, post_quad) = data.align_to::<u64>(); + + c32 = pre_quad.iter().fold(c32, |acc, &b| arch::__crc32b(acc, b)); + + // unrolling increases performance by a lot + let mut quad_iter = quads.chunks_exact(8); + for chunk in &mut quad_iter { + c32 = arch::__crc32d(c32, chunk[0]); + c32 = arch::__crc32d(c32, chunk[1]); + c32 = arch::__crc32d(c32, chunk[2]); + c32 = arch::__crc32d(c32, chunk[3]); + c32 = arch::__crc32d(c32, chunk[4]); + c32 = arch::__crc32d(c32, chunk[5]); + c32 = arch::__crc32d(c32, chunk[6]); + c32 = arch::__crc32d(c32, chunk[7]); + } + c32 = quad_iter + .remainder() + .iter() + .fold(c32, |acc, &q| arch::__crc32d(acc, q)); + + c32 = post_quad.iter().fold(c32, |acc, &b| arch::__crc32b(acc, b)); + + !c32 +} + +#[cfg(test)] +mod test { + quickcheck! { + fn check_against_baseline(init: u32, chunks: Vec<(Vec<u8>, usize)>) -> bool { + let mut baseline = super::super::super::baseline::State::new(init); + let mut aarch64 = super::State::new(init).expect("not supported"); + for (chunk, mut offset) in chunks { + // simulate random alignments by offsetting the slice by up to 15 bytes + offset &= 0xF; + if chunk.len() <= offset { + baseline.update(&chunk); + aarch64.update(&chunk); + } else { + baseline.update(&chunk[offset..]); + aarch64.update(&chunk[offset..]); + } + } + aarch64.finalize() == baseline.finalize() + } + } +} diff --git a/src/specialized/mod.rs b/src/specialized/mod.rs new file mode 100644 index 0000000..525a42c --- /dev/null +++ b/src/specialized/mod.rs @@ -0,0 +1,37 @@ +cfg_if! { + if #[cfg(all( + crc32fast_stdarchx86, + target_feature = "sse2", + any(target_arch = "x86", target_arch = "x86_64") + ))] { + mod pclmulqdq; + pub use self::pclmulqdq::State; + } else if #[cfg(all(feature = "nightly", target_arch = "aarch64"))] { + mod aarch64; + pub use self::aarch64::State; + } else { + #[derive(Clone)] + pub enum State {} + impl State { + pub fn new(_: u32) -> Option<Self> { + None + } + + pub fn update(&mut self, _buf: &[u8]) { + match *self {} + } + + pub fn finalize(self) -> u32 { + match self{} + } + + pub fn reset(&mut self) { + match *self {} + } + + pub fn combine(&mut self, _other: u32, _amount: u64) { + match *self {} + } + } + } +} diff --git a/src/specialized/pclmulqdq.rs b/src/specialized/pclmulqdq.rs new file mode 100644 index 0000000..84a60ca --- /dev/null +++ b/src/specialized/pclmulqdq.rs @@ -0,0 +1,225 @@ +#[cfg(target_arch = "x86")] +use core::arch::x86 as arch; +#[cfg(target_arch = "x86_64")] +use core::arch::x86_64 as arch; + +#[derive(Clone)] +pub struct State { + state: u32, +} + +impl State { + #[cfg(not(feature = "std"))] + pub fn new(state: u32) -> Option<Self> { + if cfg!(target_feature = "pclmulqdq") + && cfg!(target_feature = "sse2") + && cfg!(target_feature = "sse4.1") + { + // SAFETY: The conditions above ensure that all + // required instructions are supported by the CPU. + Some(Self { state }) + } else { + None + } + } + + #[cfg(feature = "std")] + pub fn new(state: u32) -> Option<Self> { + if is_x86_feature_detected!("pclmulqdq") + && is_x86_feature_detected!("sse2") + && is_x86_feature_detected!("sse4.1") + { + // SAFETY: The conditions above ensure that all + // required instructions are supported by the CPU. + Some(Self { state }) + } else { + None + } + } + + pub fn update(&mut self, buf: &[u8]) { + // SAFETY: The `State::new` constructor ensures that all + // required instructions are supported by the CPU. + self.state = unsafe { calculate(self.state, buf) } + } + + pub fn finalize(self) -> u32 { + self.state + } + + pub fn reset(&mut self) { + self.state = 0; + } + + pub fn combine(&mut self, other: u32, amount: u64) { + self.state = ::combine::combine(self.state, other, amount); + } +} + +const K1: i64 = 0x154442bd4; +const K2: i64 = 0x1c6e41596; +const K3: i64 = 0x1751997d0; +const K4: i64 = 0x0ccaa009e; +const K5: i64 = 0x163cd6124; +const K6: i64 = 0x1db710640; + +const P_X: i64 = 0x1DB710641; +const U_PRIME: i64 = 0x1F7011641; + +#[cfg(feature = "std")] +unsafe fn debug(s: &str, a: arch::__m128i) -> arch::__m128i { + if false { + union A { + a: arch::__m128i, + b: [u8; 16], + } + let x = A { a }.b; + print!(" {:20} | ", s); + for x in x.iter() { + print!("{:02x} ", x); + } + println!(); + } + return a; +} + +#[cfg(not(feature = "std"))] +unsafe fn debug(_s: &str, a: arch::__m128i) -> arch::__m128i { + a +} + +#[target_feature(enable = "pclmulqdq", enable = "sse2", enable = "sse4.1")] +unsafe fn calculate(crc: u32, mut data: &[u8]) -> u32 { + // In theory we can accelerate smaller chunks too, but for now just rely on + // the fallback implementation as it's too much hassle and doesn't seem too + // beneficial. + if data.len() < 128 { + return ::baseline::update_fast_16(crc, data); + } + + // Step 1: fold by 4 loop + let mut x3 = get(&mut data); + let mut x2 = get(&mut data); + let mut x1 = get(&mut data); + let mut x0 = get(&mut data); + + // fold in our initial value, part of the incremental crc checksum + x3 = arch::_mm_xor_si128(x3, arch::_mm_cvtsi32_si128(!crc as i32)); + + let k1k2 = arch::_mm_set_epi64x(K2, K1); + while data.len() >= 64 { + x3 = reduce128(x3, get(&mut data), k1k2); + x2 = reduce128(x2, get(&mut data), k1k2); + x1 = reduce128(x1, get(&mut data), k1k2); + x0 = reduce128(x0, get(&mut data), k1k2); + } + + let k3k4 = arch::_mm_set_epi64x(K4, K3); + let mut x = reduce128(x3, x2, k3k4); + x = reduce128(x, x1, k3k4); + x = reduce128(x, x0, k3k4); + + // Step 2: fold by 1 loop + while data.len() >= 16 { + x = reduce128(x, get(&mut data), k3k4); + } + + debug("128 > 64 init", x); + + // Perform step 3, reduction from 128 bits to 64 bits. This is + // significantly different from the paper and basically doesn't follow it + // at all. It's not really clear why, but implementations of this algorithm + // in Chrome/Linux diverge in the same way. It is beyond me why this is + // different than the paper, maybe the paper has like errata or something? + // Unclear. + // + // It's also not clear to me what's actually happening here and/or why, but + // algebraically what's happening is: + // + // x = (x[0:63] • K4) ^ x[64:127] // 96 bit result + // x = ((x[0:31] as u64) • K5) ^ x[32:95] // 64 bit result + // + // It's... not clear to me what's going on here. The paper itself is pretty + // vague on this part but definitely uses different constants at least. + // It's not clear to me, reading the paper, where the xor operations are + // happening or why things are shifting around. This implementation... + // appears to work though! + drop(K6); + let x = arch::_mm_xor_si128( + arch::_mm_clmulepi64_si128(x, k3k4, 0x10), + arch::_mm_srli_si128(x, 8), + ); + let x = arch::_mm_xor_si128( + arch::_mm_clmulepi64_si128( + arch::_mm_and_si128(x, arch::_mm_set_epi32(0, 0, 0, !0)), + arch::_mm_set_epi64x(0, K5), + 0x00, + ), + arch::_mm_srli_si128(x, 4), + ); + debug("128 > 64 xx", x); + + // Perform a Barrett reduction from our now 64 bits to 32 bits. The + // algorithm for this is described at the end of the paper, and note that + // this also implements the "bit reflected input" variant. + let pu = arch::_mm_set_epi64x(U_PRIME, P_X); + + // T1(x) = ⌊(R(x) % x^32)⌋ • μ + let t1 = arch::_mm_clmulepi64_si128( + arch::_mm_and_si128(x, arch::_mm_set_epi32(0, 0, 0, !0)), + pu, + 0x10, + ); + // T2(x) = ⌊(T1(x) % x^32)⌋ • P(x) + let t2 = arch::_mm_clmulepi64_si128( + arch::_mm_and_si128(t1, arch::_mm_set_epi32(0, 0, 0, !0)), + pu, + 0x00, + ); + // We're doing the bit-reflected variant, so get the upper 32-bits of the + // 64-bit result instead of the lower 32-bits. + // + // C(x) = R(x) ^ T2(x) / x^32 + let c = arch::_mm_extract_epi32(arch::_mm_xor_si128(x, t2), 1) as u32; + + if !data.is_empty() { + ::baseline::update_fast_16(!c, data) + } else { + !c + } +} + +unsafe fn reduce128(a: arch::__m128i, b: arch::__m128i, keys: arch::__m128i) -> arch::__m128i { + let t1 = arch::_mm_clmulepi64_si128(a, keys, 0x00); + let t2 = arch::_mm_clmulepi64_si128(a, keys, 0x11); + arch::_mm_xor_si128(arch::_mm_xor_si128(b, t1), t2) +} + +unsafe fn get(a: &mut &[u8]) -> arch::__m128i { + debug_assert!(a.len() >= 16); + let r = arch::_mm_loadu_si128(a.as_ptr() as *const arch::__m128i); + *a = &a[16..]; + return r; +} + +#[cfg(test)] +mod test { + quickcheck! { + fn check_against_baseline(init: u32, chunks: Vec<(Vec<u8>, usize)>) -> bool { + let mut baseline = super::super::super::baseline::State::new(init); + let mut pclmulqdq = super::State::new(init).expect("not supported"); + for (chunk, mut offset) in chunks { + // simulate random alignments by offsetting the slice by up to 15 bytes + offset &= 0xF; + if chunk.len() <= offset { + baseline.update(&chunk); + pclmulqdq.update(&chunk); + } else { + baseline.update(&chunk[offset..]); + pclmulqdq.update(&chunk[offset..]); + } + } + pclmulqdq.finalize() == baseline.finalize() + } + } +} diff --git a/src/table.rs b/src/table.rs new file mode 100644 index 0000000..78b89c3 --- /dev/null +++ b/src/table.rs @@ -0,0 +1,629 @@ +// NOTE: This is static instead of const to ensure that indexing into this table +// doesn't result in large memmoves when in debug mode, which can significantly +// impact performance. +pub static CRC32_TABLE: [[u32; 256]; 16] = [ + [ + 0x00000000, 0x77073096, 0xee0e612c, 0x990951ba, 0x076dc419, 0x706af48f, 0xe963a535, + 0x9e6495a3, 0x0edb8832, 0x79dcb8a4, 0xe0d5e91e, 0x97d2d988, 0x09b64c2b, 0x7eb17cbd, + 0xe7b82d07, 0x90bf1d91, 0x1db71064, 0x6ab020f2, 0xf3b97148, 0x84be41de, 0x1adad47d, + 0x6ddde4eb, 0xf4d4b551, 0x83d385c7, 0x136c9856, 0x646ba8c0, 0xfd62f97a, 0x8a65c9ec, + 0x14015c4f, 0x63066cd9, 0xfa0f3d63, 0x8d080df5, 0x3b6e20c8, 0x4c69105e, 0xd56041e4, + 0xa2677172, 0x3c03e4d1, 0x4b04d447, 0xd20d85fd, 0xa50ab56b, 0x35b5a8fa, 0x42b2986c, + 0xdbbbc9d6, 0xacbcf940, 0x32d86ce3, 0x45df5c75, 0xdcd60dcf, 0xabd13d59, 0x26d930ac, + 0x51de003a, 0xc8d75180, 0xbfd06116, 0x21b4f4b5, 0x56b3c423, 0xcfba9599, 0xb8bda50f, + 0x2802b89e, 0x5f058808, 0xc60cd9b2, 0xb10be924, 0x2f6f7c87, 0x58684c11, 0xc1611dab, + 0xb6662d3d, 0x76dc4190, 0x01db7106, 0x98d220bc, 0xefd5102a, 0x71b18589, 0x06b6b51f, + 0x9fbfe4a5, 0xe8b8d433, 0x7807c9a2, 0x0f00f934, 0x9609a88e, 0xe10e9818, 0x7f6a0dbb, + 0x086d3d2d, 0x91646c97, 0xe6635c01, 0x6b6b51f4, 0x1c6c6162, 0x856530d8, 0xf262004e, + 0x6c0695ed, 0x1b01a57b, 0x8208f4c1, 0xf50fc457, 0x65b0d9c6, 0x12b7e950, 0x8bbeb8ea, + 0xfcb9887c, 0x62dd1ddf, 0x15da2d49, 0x8cd37cf3, 0xfbd44c65, 0x4db26158, 0x3ab551ce, + 0xa3bc0074, 0xd4bb30e2, 0x4adfa541, 0x3dd895d7, 0xa4d1c46d, 0xd3d6f4fb, 0x4369e96a, + 0x346ed9fc, 0xad678846, 0xda60b8d0, 0x44042d73, 0x33031de5, 0xaa0a4c5f, 0xdd0d7cc9, + 0x5005713c, 0x270241aa, 0xbe0b1010, 0xc90c2086, 0x5768b525, 0x206f85b3, 0xb966d409, + 0xce61e49f, 0x5edef90e, 0x29d9c998, 0xb0d09822, 0xc7d7a8b4, 0x59b33d17, 0x2eb40d81, + 0xb7bd5c3b, 0xc0ba6cad, 0xedb88320, 0x9abfb3b6, 0x03b6e20c, 0x74b1d29a, 0xead54739, + 0x9dd277af, 0x04db2615, 0x73dc1683, 0xe3630b12, 0x94643b84, 0x0d6d6a3e, 0x7a6a5aa8, + 0xe40ecf0b, 0x9309ff9d, 0x0a00ae27, 0x7d079eb1, 0xf00f9344, 0x8708a3d2, 0x1e01f268, + 0x6906c2fe, 0xf762575d, 0x806567cb, 0x196c3671, 0x6e6b06e7, 0xfed41b76, 0x89d32be0, + 0x10da7a5a, 0x67dd4acc, 0xf9b9df6f, 0x8ebeeff9, 0x17b7be43, 0x60b08ed5, 0xd6d6a3e8, + 0xa1d1937e, 0x38d8c2c4, 0x4fdff252, 0xd1bb67f1, 0xa6bc5767, 0x3fb506dd, 0x48b2364b, + 0xd80d2bda, 0xaf0a1b4c, 0x36034af6, 0x41047a60, 0xdf60efc3, 0xa867df55, 0x316e8eef, + 0x4669be79, 0xcb61b38c, 0xbc66831a, 0x256fd2a0, 0x5268e236, 0xcc0c7795, 0xbb0b4703, + 0x220216b9, 0x5505262f, 0xc5ba3bbe, 0xb2bd0b28, 0x2bb45a92, 0x5cb36a04, 0xc2d7ffa7, + 0xb5d0cf31, 0x2cd99e8b, 0x5bdeae1d, 0x9b64c2b0, 0xec63f226, 0x756aa39c, 0x026d930a, + 0x9c0906a9, 0xeb0e363f, 0x72076785, 0x05005713, 0x95bf4a82, 0xe2b87a14, 0x7bb12bae, + 0x0cb61b38, 0x92d28e9b, 0xe5d5be0d, 0x7cdcefb7, 0x0bdbdf21, 0x86d3d2d4, 0xf1d4e242, + 0x68ddb3f8, 0x1fda836e, 0x81be16cd, 0xf6b9265b, 0x6fb077e1, 0x18b74777, 0x88085ae6, + 0xff0f6a70, 0x66063bca, 0x11010b5c, 0x8f659eff, 0xf862ae69, 0x616bffd3, 0x166ccf45, + 0xa00ae278, 0xd70dd2ee, 0x4e048354, 0x3903b3c2, 0xa7672661, 0xd06016f7, 0x4969474d, + 0x3e6e77db, 0xaed16a4a, 0xd9d65adc, 0x40df0b66, 0x37d83bf0, 0xa9bcae53, 0xdebb9ec5, + 0x47b2cf7f, 0x30b5ffe9, 0xbdbdf21c, 0xcabac28a, 0x53b39330, 0x24b4a3a6, 0xbad03605, + 0xcdd70693, 0x54de5729, 0x23d967bf, 0xb3667a2e, 0xc4614ab8, 0x5d681b02, 0x2a6f2b94, + 0xb40bbe37, 0xc30c8ea1, 0x5a05df1b, 0x2d02ef8d, + ], + [ + 0x00000000, 0x191B3141, 0x32366282, 0x2B2D53C3, 0x646CC504, 0x7D77F445, 0x565AA786, + 0x4F4196C7, 0xC8D98A08, 0xD1C2BB49, 0xFAEFE88A, 0xE3F4D9CB, 0xACB54F0C, 0xB5AE7E4D, + 0x9E832D8E, 0x87981CCF, 0x4AC21251, 0x53D92310, 0x78F470D3, 0x61EF4192, 0x2EAED755, + 0x37B5E614, 0x1C98B5D7, 0x05838496, 0x821B9859, 0x9B00A918, 0xB02DFADB, 0xA936CB9A, + 0xE6775D5D, 0xFF6C6C1C, 0xD4413FDF, 0xCD5A0E9E, 0x958424A2, 0x8C9F15E3, 0xA7B24620, + 0xBEA97761, 0xF1E8E1A6, 0xE8F3D0E7, 0xC3DE8324, 0xDAC5B265, 0x5D5DAEAA, 0x44469FEB, + 0x6F6BCC28, 0x7670FD69, 0x39316BAE, 0x202A5AEF, 0x0B07092C, 0x121C386D, 0xDF4636F3, + 0xC65D07B2, 0xED705471, 0xF46B6530, 0xBB2AF3F7, 0xA231C2B6, 0x891C9175, 0x9007A034, + 0x179FBCFB, 0x0E848DBA, 0x25A9DE79, 0x3CB2EF38, 0x73F379FF, 0x6AE848BE, 0x41C51B7D, + 0x58DE2A3C, 0xF0794F05, 0xE9627E44, 0xC24F2D87, 0xDB541CC6, 0x94158A01, 0x8D0EBB40, + 0xA623E883, 0xBF38D9C2, 0x38A0C50D, 0x21BBF44C, 0x0A96A78F, 0x138D96CE, 0x5CCC0009, + 0x45D73148, 0x6EFA628B, 0x77E153CA, 0xBABB5D54, 0xA3A06C15, 0x888D3FD6, 0x91960E97, + 0xDED79850, 0xC7CCA911, 0xECE1FAD2, 0xF5FACB93, 0x7262D75C, 0x6B79E61D, 0x4054B5DE, + 0x594F849F, 0x160E1258, 0x0F152319, 0x243870DA, 0x3D23419B, 0x65FD6BA7, 0x7CE65AE6, + 0x57CB0925, 0x4ED03864, 0x0191AEA3, 0x188A9FE2, 0x33A7CC21, 0x2ABCFD60, 0xAD24E1AF, + 0xB43FD0EE, 0x9F12832D, 0x8609B26C, 0xC94824AB, 0xD05315EA, 0xFB7E4629, 0xE2657768, + 0x2F3F79F6, 0x362448B7, 0x1D091B74, 0x04122A35, 0x4B53BCF2, 0x52488DB3, 0x7965DE70, + 0x607EEF31, 0xE7E6F3FE, 0xFEFDC2BF, 0xD5D0917C, 0xCCCBA03D, 0x838A36FA, 0x9A9107BB, + 0xB1BC5478, 0xA8A76539, 0x3B83984B, 0x2298A90A, 0x09B5FAC9, 0x10AECB88, 0x5FEF5D4F, + 0x46F46C0E, 0x6DD93FCD, 0x74C20E8C, 0xF35A1243, 0xEA412302, 0xC16C70C1, 0xD8774180, + 0x9736D747, 0x8E2DE606, 0xA500B5C5, 0xBC1B8484, 0x71418A1A, 0x685ABB5B, 0x4377E898, + 0x5A6CD9D9, 0x152D4F1E, 0x0C367E5F, 0x271B2D9C, 0x3E001CDD, 0xB9980012, 0xA0833153, + 0x8BAE6290, 0x92B553D1, 0xDDF4C516, 0xC4EFF457, 0xEFC2A794, 0xF6D996D5, 0xAE07BCE9, + 0xB71C8DA8, 0x9C31DE6B, 0x852AEF2A, 0xCA6B79ED, 0xD37048AC, 0xF85D1B6F, 0xE1462A2E, + 0x66DE36E1, 0x7FC507A0, 0x54E85463, 0x4DF36522, 0x02B2F3E5, 0x1BA9C2A4, 0x30849167, + 0x299FA026, 0xE4C5AEB8, 0xFDDE9FF9, 0xD6F3CC3A, 0xCFE8FD7B, 0x80A96BBC, 0x99B25AFD, + 0xB29F093E, 0xAB84387F, 0x2C1C24B0, 0x350715F1, 0x1E2A4632, 0x07317773, 0x4870E1B4, + 0x516BD0F5, 0x7A468336, 0x635DB277, 0xCBFAD74E, 0xD2E1E60F, 0xF9CCB5CC, 0xE0D7848D, + 0xAF96124A, 0xB68D230B, 0x9DA070C8, 0x84BB4189, 0x03235D46, 0x1A386C07, 0x31153FC4, + 0x280E0E85, 0x674F9842, 0x7E54A903, 0x5579FAC0, 0x4C62CB81, 0x8138C51F, 0x9823F45E, + 0xB30EA79D, 0xAA1596DC, 0xE554001B, 0xFC4F315A, 0xD7626299, 0xCE7953D8, 0x49E14F17, + 0x50FA7E56, 0x7BD72D95, 0x62CC1CD4, 0x2D8D8A13, 0x3496BB52, 0x1FBBE891, 0x06A0D9D0, + 0x5E7EF3EC, 0x4765C2AD, 0x6C48916E, 0x7553A02F, 0x3A1236E8, 0x230907A9, 0x0824546A, + 0x113F652B, 0x96A779E4, 0x8FBC48A5, 0xA4911B66, 0xBD8A2A27, 0xF2CBBCE0, 0xEBD08DA1, + 0xC0FDDE62, 0xD9E6EF23, 0x14BCE1BD, 0x0DA7D0FC, 0x268A833F, 0x3F91B27E, 0x70D024B9, + 0x69CB15F8, 0x42E6463B, 0x5BFD777A, 0xDC656BB5, 0xC57E5AF4, 0xEE530937, 0xF7483876, + 0xB809AEB1, 0xA1129FF0, 0x8A3FCC33, 0x9324FD72, + ], + [ + 0x00000000, 0x01C26A37, 0x0384D46E, 0x0246BE59, 0x0709A8DC, 0x06CBC2EB, 0x048D7CB2, + 0x054F1685, 0x0E1351B8, 0x0FD13B8F, 0x0D9785D6, 0x0C55EFE1, 0x091AF964, 0x08D89353, + 0x0A9E2D0A, 0x0B5C473D, 0x1C26A370, 0x1DE4C947, 0x1FA2771E, 0x1E601D29, 0x1B2F0BAC, + 0x1AED619B, 0x18ABDFC2, 0x1969B5F5, 0x1235F2C8, 0x13F798FF, 0x11B126A6, 0x10734C91, + 0x153C5A14, 0x14FE3023, 0x16B88E7A, 0x177AE44D, 0x384D46E0, 0x398F2CD7, 0x3BC9928E, + 0x3A0BF8B9, 0x3F44EE3C, 0x3E86840B, 0x3CC03A52, 0x3D025065, 0x365E1758, 0x379C7D6F, + 0x35DAC336, 0x3418A901, 0x3157BF84, 0x3095D5B3, 0x32D36BEA, 0x331101DD, 0x246BE590, + 0x25A98FA7, 0x27EF31FE, 0x262D5BC9, 0x23624D4C, 0x22A0277B, 0x20E69922, 0x2124F315, + 0x2A78B428, 0x2BBADE1F, 0x29FC6046, 0x283E0A71, 0x2D711CF4, 0x2CB376C3, 0x2EF5C89A, + 0x2F37A2AD, 0x709A8DC0, 0x7158E7F7, 0x731E59AE, 0x72DC3399, 0x7793251C, 0x76514F2B, + 0x7417F172, 0x75D59B45, 0x7E89DC78, 0x7F4BB64F, 0x7D0D0816, 0x7CCF6221, 0x798074A4, + 0x78421E93, 0x7A04A0CA, 0x7BC6CAFD, 0x6CBC2EB0, 0x6D7E4487, 0x6F38FADE, 0x6EFA90E9, + 0x6BB5866C, 0x6A77EC5B, 0x68315202, 0x69F33835, 0x62AF7F08, 0x636D153F, 0x612BAB66, + 0x60E9C151, 0x65A6D7D4, 0x6464BDE3, 0x662203BA, 0x67E0698D, 0x48D7CB20, 0x4915A117, + 0x4B531F4E, 0x4A917579, 0x4FDE63FC, 0x4E1C09CB, 0x4C5AB792, 0x4D98DDA5, 0x46C49A98, + 0x4706F0AF, 0x45404EF6, 0x448224C1, 0x41CD3244, 0x400F5873, 0x4249E62A, 0x438B8C1D, + 0x54F16850, 0x55330267, 0x5775BC3E, 0x56B7D609, 0x53F8C08C, 0x523AAABB, 0x507C14E2, + 0x51BE7ED5, 0x5AE239E8, 0x5B2053DF, 0x5966ED86, 0x58A487B1, 0x5DEB9134, 0x5C29FB03, + 0x5E6F455A, 0x5FAD2F6D, 0xE1351B80, 0xE0F771B7, 0xE2B1CFEE, 0xE373A5D9, 0xE63CB35C, + 0xE7FED96B, 0xE5B86732, 0xE47A0D05, 0xEF264A38, 0xEEE4200F, 0xECA29E56, 0xED60F461, + 0xE82FE2E4, 0xE9ED88D3, 0xEBAB368A, 0xEA695CBD, 0xFD13B8F0, 0xFCD1D2C7, 0xFE976C9E, + 0xFF5506A9, 0xFA1A102C, 0xFBD87A1B, 0xF99EC442, 0xF85CAE75, 0xF300E948, 0xF2C2837F, + 0xF0843D26, 0xF1465711, 0xF4094194, 0xF5CB2BA3, 0xF78D95FA, 0xF64FFFCD, 0xD9785D60, + 0xD8BA3757, 0xDAFC890E, 0xDB3EE339, 0xDE71F5BC, 0xDFB39F8B, 0xDDF521D2, 0xDC374BE5, + 0xD76B0CD8, 0xD6A966EF, 0xD4EFD8B6, 0xD52DB281, 0xD062A404, 0xD1A0CE33, 0xD3E6706A, + 0xD2241A5D, 0xC55EFE10, 0xC49C9427, 0xC6DA2A7E, 0xC7184049, 0xC25756CC, 0xC3953CFB, + 0xC1D382A2, 0xC011E895, 0xCB4DAFA8, 0xCA8FC59F, 0xC8C97BC6, 0xC90B11F1, 0xCC440774, + 0xCD866D43, 0xCFC0D31A, 0xCE02B92D, 0x91AF9640, 0x906DFC77, 0x922B422E, 0x93E92819, + 0x96A63E9C, 0x976454AB, 0x9522EAF2, 0x94E080C5, 0x9FBCC7F8, 0x9E7EADCF, 0x9C381396, + 0x9DFA79A1, 0x98B56F24, 0x99770513, 0x9B31BB4A, 0x9AF3D17D, 0x8D893530, 0x8C4B5F07, + 0x8E0DE15E, 0x8FCF8B69, 0x8A809DEC, 0x8B42F7DB, 0x89044982, 0x88C623B5, 0x839A6488, + 0x82580EBF, 0x801EB0E6, 0x81DCDAD1, 0x8493CC54, 0x8551A663, 0x8717183A, 0x86D5720D, + 0xA9E2D0A0, 0xA820BA97, 0xAA6604CE, 0xABA46EF9, 0xAEEB787C, 0xAF29124B, 0xAD6FAC12, + 0xACADC625, 0xA7F18118, 0xA633EB2F, 0xA4755576, 0xA5B73F41, 0xA0F829C4, 0xA13A43F3, + 0xA37CFDAA, 0xA2BE979D, 0xB5C473D0, 0xB40619E7, 0xB640A7BE, 0xB782CD89, 0xB2CDDB0C, + 0xB30FB13B, 0xB1490F62, 0xB08B6555, 0xBBD72268, 0xBA15485F, 0xB853F606, 0xB9919C31, + 0xBCDE8AB4, 0xBD1CE083, 0xBF5A5EDA, 0xBE9834ED, + ], + [ + 0x00000000, 0xB8BC6765, 0xAA09C88B, 0x12B5AFEE, 0x8F629757, 0x37DEF032, 0x256B5FDC, + 0x9DD738B9, 0xC5B428EF, 0x7D084F8A, 0x6FBDE064, 0xD7018701, 0x4AD6BFB8, 0xF26AD8DD, + 0xE0DF7733, 0x58631056, 0x5019579F, 0xE8A530FA, 0xFA109F14, 0x42ACF871, 0xDF7BC0C8, + 0x67C7A7AD, 0x75720843, 0xCDCE6F26, 0x95AD7F70, 0x2D111815, 0x3FA4B7FB, 0x8718D09E, + 0x1ACFE827, 0xA2738F42, 0xB0C620AC, 0x087A47C9, 0xA032AF3E, 0x188EC85B, 0x0A3B67B5, + 0xB28700D0, 0x2F503869, 0x97EC5F0C, 0x8559F0E2, 0x3DE59787, 0x658687D1, 0xDD3AE0B4, + 0xCF8F4F5A, 0x7733283F, 0xEAE41086, 0x525877E3, 0x40EDD80D, 0xF851BF68, 0xF02BF8A1, + 0x48979FC4, 0x5A22302A, 0xE29E574F, 0x7F496FF6, 0xC7F50893, 0xD540A77D, 0x6DFCC018, + 0x359FD04E, 0x8D23B72B, 0x9F9618C5, 0x272A7FA0, 0xBAFD4719, 0x0241207C, 0x10F48F92, + 0xA848E8F7, 0x9B14583D, 0x23A83F58, 0x311D90B6, 0x89A1F7D3, 0x1476CF6A, 0xACCAA80F, + 0xBE7F07E1, 0x06C36084, 0x5EA070D2, 0xE61C17B7, 0xF4A9B859, 0x4C15DF3C, 0xD1C2E785, + 0x697E80E0, 0x7BCB2F0E, 0xC377486B, 0xCB0D0FA2, 0x73B168C7, 0x6104C729, 0xD9B8A04C, + 0x446F98F5, 0xFCD3FF90, 0xEE66507E, 0x56DA371B, 0x0EB9274D, 0xB6054028, 0xA4B0EFC6, + 0x1C0C88A3, 0x81DBB01A, 0x3967D77F, 0x2BD27891, 0x936E1FF4, 0x3B26F703, 0x839A9066, + 0x912F3F88, 0x299358ED, 0xB4446054, 0x0CF80731, 0x1E4DA8DF, 0xA6F1CFBA, 0xFE92DFEC, + 0x462EB889, 0x549B1767, 0xEC277002, 0x71F048BB, 0xC94C2FDE, 0xDBF98030, 0x6345E755, + 0x6B3FA09C, 0xD383C7F9, 0xC1366817, 0x798A0F72, 0xE45D37CB, 0x5CE150AE, 0x4E54FF40, + 0xF6E89825, 0xAE8B8873, 0x1637EF16, 0x048240F8, 0xBC3E279D, 0x21E91F24, 0x99557841, + 0x8BE0D7AF, 0x335CB0CA, 0xED59B63B, 0x55E5D15E, 0x47507EB0, 0xFFEC19D5, 0x623B216C, + 0xDA874609, 0xC832E9E7, 0x708E8E82, 0x28ED9ED4, 0x9051F9B1, 0x82E4565F, 0x3A58313A, + 0xA78F0983, 0x1F336EE6, 0x0D86C108, 0xB53AA66D, 0xBD40E1A4, 0x05FC86C1, 0x1749292F, + 0xAFF54E4A, 0x322276F3, 0x8A9E1196, 0x982BBE78, 0x2097D91D, 0x78F4C94B, 0xC048AE2E, + 0xD2FD01C0, 0x6A4166A5, 0xF7965E1C, 0x4F2A3979, 0x5D9F9697, 0xE523F1F2, 0x4D6B1905, + 0xF5D77E60, 0xE762D18E, 0x5FDEB6EB, 0xC2098E52, 0x7AB5E937, 0x680046D9, 0xD0BC21BC, + 0x88DF31EA, 0x3063568F, 0x22D6F961, 0x9A6A9E04, 0x07BDA6BD, 0xBF01C1D8, 0xADB46E36, + 0x15080953, 0x1D724E9A, 0xA5CE29FF, 0xB77B8611, 0x0FC7E174, 0x9210D9CD, 0x2AACBEA8, + 0x38191146, 0x80A57623, 0xD8C66675, 0x607A0110, 0x72CFAEFE, 0xCA73C99B, 0x57A4F122, + 0xEF189647, 0xFDAD39A9, 0x45115ECC, 0x764DEE06, 0xCEF18963, 0xDC44268D, 0x64F841E8, + 0xF92F7951, 0x41931E34, 0x5326B1DA, 0xEB9AD6BF, 0xB3F9C6E9, 0x0B45A18C, 0x19F00E62, + 0xA14C6907, 0x3C9B51BE, 0x842736DB, 0x96929935, 0x2E2EFE50, 0x2654B999, 0x9EE8DEFC, + 0x8C5D7112, 0x34E11677, 0xA9362ECE, 0x118A49AB, 0x033FE645, 0xBB838120, 0xE3E09176, + 0x5B5CF613, 0x49E959FD, 0xF1553E98, 0x6C820621, 0xD43E6144, 0xC68BCEAA, 0x7E37A9CF, + 0xD67F4138, 0x6EC3265D, 0x7C7689B3, 0xC4CAEED6, 0x591DD66F, 0xE1A1B10A, 0xF3141EE4, + 0x4BA87981, 0x13CB69D7, 0xAB770EB2, 0xB9C2A15C, 0x017EC639, 0x9CA9FE80, 0x241599E5, + 0x36A0360B, 0x8E1C516E, 0x866616A7, 0x3EDA71C2, 0x2C6FDE2C, 0x94D3B949, 0x090481F0, + 0xB1B8E695, 0xA30D497B, 0x1BB12E1E, 0x43D23E48, 0xFB6E592D, 0xE9DBF6C3, 0x516791A6, + 0xCCB0A91F, 0x740CCE7A, 0x66B96194, 0xDE0506F1, + ], + [ + 0x00000000, 0x3D6029B0, 0x7AC05360, 0x47A07AD0, 0xF580A6C0, 0xC8E08F70, 0x8F40F5A0, + 0xB220DC10, 0x30704BC1, 0x0D106271, 0x4AB018A1, 0x77D03111, 0xC5F0ED01, 0xF890C4B1, + 0xBF30BE61, 0x825097D1, 0x60E09782, 0x5D80BE32, 0x1A20C4E2, 0x2740ED52, 0x95603142, + 0xA80018F2, 0xEFA06222, 0xD2C04B92, 0x5090DC43, 0x6DF0F5F3, 0x2A508F23, 0x1730A693, + 0xA5107A83, 0x98705333, 0xDFD029E3, 0xE2B00053, 0xC1C12F04, 0xFCA106B4, 0xBB017C64, + 0x866155D4, 0x344189C4, 0x0921A074, 0x4E81DAA4, 0x73E1F314, 0xF1B164C5, 0xCCD14D75, + 0x8B7137A5, 0xB6111E15, 0x0431C205, 0x3951EBB5, 0x7EF19165, 0x4391B8D5, 0xA121B886, + 0x9C419136, 0xDBE1EBE6, 0xE681C256, 0x54A11E46, 0x69C137F6, 0x2E614D26, 0x13016496, + 0x9151F347, 0xAC31DAF7, 0xEB91A027, 0xD6F18997, 0x64D15587, 0x59B17C37, 0x1E1106E7, + 0x23712F57, 0x58F35849, 0x659371F9, 0x22330B29, 0x1F532299, 0xAD73FE89, 0x9013D739, + 0xD7B3ADE9, 0xEAD38459, 0x68831388, 0x55E33A38, 0x124340E8, 0x2F236958, 0x9D03B548, + 0xA0639CF8, 0xE7C3E628, 0xDAA3CF98, 0x3813CFCB, 0x0573E67B, 0x42D39CAB, 0x7FB3B51B, + 0xCD93690B, 0xF0F340BB, 0xB7533A6B, 0x8A3313DB, 0x0863840A, 0x3503ADBA, 0x72A3D76A, + 0x4FC3FEDA, 0xFDE322CA, 0xC0830B7A, 0x872371AA, 0xBA43581A, 0x9932774D, 0xA4525EFD, + 0xE3F2242D, 0xDE920D9D, 0x6CB2D18D, 0x51D2F83D, 0x167282ED, 0x2B12AB5D, 0xA9423C8C, + 0x9422153C, 0xD3826FEC, 0xEEE2465C, 0x5CC29A4C, 0x61A2B3FC, 0x2602C92C, 0x1B62E09C, + 0xF9D2E0CF, 0xC4B2C97F, 0x8312B3AF, 0xBE729A1F, 0x0C52460F, 0x31326FBF, 0x7692156F, + 0x4BF23CDF, 0xC9A2AB0E, 0xF4C282BE, 0xB362F86E, 0x8E02D1DE, 0x3C220DCE, 0x0142247E, + 0x46E25EAE, 0x7B82771E, 0xB1E6B092, 0x8C869922, 0xCB26E3F2, 0xF646CA42, 0x44661652, + 0x79063FE2, 0x3EA64532, 0x03C66C82, 0x8196FB53, 0xBCF6D2E3, 0xFB56A833, 0xC6368183, + 0x74165D93, 0x49767423, 0x0ED60EF3, 0x33B62743, 0xD1062710, 0xEC660EA0, 0xABC67470, + 0x96A65DC0, 0x248681D0, 0x19E6A860, 0x5E46D2B0, 0x6326FB00, 0xE1766CD1, 0xDC164561, + 0x9BB63FB1, 0xA6D61601, 0x14F6CA11, 0x2996E3A1, 0x6E369971, 0x5356B0C1, 0x70279F96, + 0x4D47B626, 0x0AE7CCF6, 0x3787E546, 0x85A73956, 0xB8C710E6, 0xFF676A36, 0xC2074386, + 0x4057D457, 0x7D37FDE7, 0x3A978737, 0x07F7AE87, 0xB5D77297, 0x88B75B27, 0xCF1721F7, + 0xF2770847, 0x10C70814, 0x2DA721A4, 0x6A075B74, 0x576772C4, 0xE547AED4, 0xD8278764, + 0x9F87FDB4, 0xA2E7D404, 0x20B743D5, 0x1DD76A65, 0x5A7710B5, 0x67173905, 0xD537E515, + 0xE857CCA5, 0xAFF7B675, 0x92979FC5, 0xE915E8DB, 0xD475C16B, 0x93D5BBBB, 0xAEB5920B, + 0x1C954E1B, 0x21F567AB, 0x66551D7B, 0x5B3534CB, 0xD965A31A, 0xE4058AAA, 0xA3A5F07A, + 0x9EC5D9CA, 0x2CE505DA, 0x11852C6A, 0x562556BA, 0x6B457F0A, 0x89F57F59, 0xB49556E9, + 0xF3352C39, 0xCE550589, 0x7C75D999, 0x4115F029, 0x06B58AF9, 0x3BD5A349, 0xB9853498, + 0x84E51D28, 0xC34567F8, 0xFE254E48, 0x4C059258, 0x7165BBE8, 0x36C5C138, 0x0BA5E888, + 0x28D4C7DF, 0x15B4EE6F, 0x521494BF, 0x6F74BD0F, 0xDD54611F, 0xE03448AF, 0xA794327F, + 0x9AF41BCF, 0x18A48C1E, 0x25C4A5AE, 0x6264DF7E, 0x5F04F6CE, 0xED242ADE, 0xD044036E, + 0x97E479BE, 0xAA84500E, 0x4834505D, 0x755479ED, 0x32F4033D, 0x0F942A8D, 0xBDB4F69D, + 0x80D4DF2D, 0xC774A5FD, 0xFA148C4D, 0x78441B9C, 0x4524322C, 0x028448FC, 0x3FE4614C, + 0x8DC4BD5C, 0xB0A494EC, 0xF704EE3C, 0xCA64C78C, + ], + [ + 0x00000000, 0xCB5CD3A5, 0x4DC8A10B, 0x869472AE, 0x9B914216, 0x50CD91B3, 0xD659E31D, + 0x1D0530B8, 0xEC53826D, 0x270F51C8, 0xA19B2366, 0x6AC7F0C3, 0x77C2C07B, 0xBC9E13DE, + 0x3A0A6170, 0xF156B2D5, 0x03D6029B, 0xC88AD13E, 0x4E1EA390, 0x85427035, 0x9847408D, + 0x531B9328, 0xD58FE186, 0x1ED33223, 0xEF8580F6, 0x24D95353, 0xA24D21FD, 0x6911F258, + 0x7414C2E0, 0xBF481145, 0x39DC63EB, 0xF280B04E, 0x07AC0536, 0xCCF0D693, 0x4A64A43D, + 0x81387798, 0x9C3D4720, 0x57619485, 0xD1F5E62B, 0x1AA9358E, 0xEBFF875B, 0x20A354FE, + 0xA6372650, 0x6D6BF5F5, 0x706EC54D, 0xBB3216E8, 0x3DA66446, 0xF6FAB7E3, 0x047A07AD, + 0xCF26D408, 0x49B2A6A6, 0x82EE7503, 0x9FEB45BB, 0x54B7961E, 0xD223E4B0, 0x197F3715, + 0xE82985C0, 0x23755665, 0xA5E124CB, 0x6EBDF76E, 0x73B8C7D6, 0xB8E41473, 0x3E7066DD, + 0xF52CB578, 0x0F580A6C, 0xC404D9C9, 0x4290AB67, 0x89CC78C2, 0x94C9487A, 0x5F959BDF, + 0xD901E971, 0x125D3AD4, 0xE30B8801, 0x28575BA4, 0xAEC3290A, 0x659FFAAF, 0x789ACA17, + 0xB3C619B2, 0x35526B1C, 0xFE0EB8B9, 0x0C8E08F7, 0xC7D2DB52, 0x4146A9FC, 0x8A1A7A59, + 0x971F4AE1, 0x5C439944, 0xDAD7EBEA, 0x118B384F, 0xE0DD8A9A, 0x2B81593F, 0xAD152B91, + 0x6649F834, 0x7B4CC88C, 0xB0101B29, 0x36846987, 0xFDD8BA22, 0x08F40F5A, 0xC3A8DCFF, + 0x453CAE51, 0x8E607DF4, 0x93654D4C, 0x58399EE9, 0xDEADEC47, 0x15F13FE2, 0xE4A78D37, + 0x2FFB5E92, 0xA96F2C3C, 0x6233FF99, 0x7F36CF21, 0xB46A1C84, 0x32FE6E2A, 0xF9A2BD8F, + 0x0B220DC1, 0xC07EDE64, 0x46EAACCA, 0x8DB67F6F, 0x90B34FD7, 0x5BEF9C72, 0xDD7BEEDC, + 0x16273D79, 0xE7718FAC, 0x2C2D5C09, 0xAAB92EA7, 0x61E5FD02, 0x7CE0CDBA, 0xB7BC1E1F, + 0x31286CB1, 0xFA74BF14, 0x1EB014D8, 0xD5ECC77D, 0x5378B5D3, 0x98246676, 0x852156CE, + 0x4E7D856B, 0xC8E9F7C5, 0x03B52460, 0xF2E396B5, 0x39BF4510, 0xBF2B37BE, 0x7477E41B, + 0x6972D4A3, 0xA22E0706, 0x24BA75A8, 0xEFE6A60D, 0x1D661643, 0xD63AC5E6, 0x50AEB748, + 0x9BF264ED, 0x86F75455, 0x4DAB87F0, 0xCB3FF55E, 0x006326FB, 0xF135942E, 0x3A69478B, + 0xBCFD3525, 0x77A1E680, 0x6AA4D638, 0xA1F8059D, 0x276C7733, 0xEC30A496, 0x191C11EE, + 0xD240C24B, 0x54D4B0E5, 0x9F886340, 0x828D53F8, 0x49D1805D, 0xCF45F2F3, 0x04192156, + 0xF54F9383, 0x3E134026, 0xB8873288, 0x73DBE12D, 0x6EDED195, 0xA5820230, 0x2316709E, + 0xE84AA33B, 0x1ACA1375, 0xD196C0D0, 0x5702B27E, 0x9C5E61DB, 0x815B5163, 0x4A0782C6, + 0xCC93F068, 0x07CF23CD, 0xF6999118, 0x3DC542BD, 0xBB513013, 0x700DE3B6, 0x6D08D30E, + 0xA65400AB, 0x20C07205, 0xEB9CA1A0, 0x11E81EB4, 0xDAB4CD11, 0x5C20BFBF, 0x977C6C1A, + 0x8A795CA2, 0x41258F07, 0xC7B1FDA9, 0x0CED2E0C, 0xFDBB9CD9, 0x36E74F7C, 0xB0733DD2, + 0x7B2FEE77, 0x662ADECF, 0xAD760D6A, 0x2BE27FC4, 0xE0BEAC61, 0x123E1C2F, 0xD962CF8A, + 0x5FF6BD24, 0x94AA6E81, 0x89AF5E39, 0x42F38D9C, 0xC467FF32, 0x0F3B2C97, 0xFE6D9E42, + 0x35314DE7, 0xB3A53F49, 0x78F9ECEC, 0x65FCDC54, 0xAEA00FF1, 0x28347D5F, 0xE368AEFA, + 0x16441B82, 0xDD18C827, 0x5B8CBA89, 0x90D0692C, 0x8DD55994, 0x46898A31, 0xC01DF89F, + 0x0B412B3A, 0xFA1799EF, 0x314B4A4A, 0xB7DF38E4, 0x7C83EB41, 0x6186DBF9, 0xAADA085C, + 0x2C4E7AF2, 0xE712A957, 0x15921919, 0xDECECABC, 0x585AB812, 0x93066BB7, 0x8E035B0F, + 0x455F88AA, 0xC3CBFA04, 0x089729A1, 0xF9C19B74, 0x329D48D1, 0xB4093A7F, 0x7F55E9DA, + 0x6250D962, 0xA90C0AC7, 0x2F987869, 0xE4C4ABCC, + ], + [ + 0x00000000, 0xA6770BB4, 0x979F1129, 0x31E81A9D, 0xF44F2413, 0x52382FA7, 0x63D0353A, + 0xC5A73E8E, 0x33EF4E67, 0x959845D3, 0xA4705F4E, 0x020754FA, 0xC7A06A74, 0x61D761C0, + 0x503F7B5D, 0xF64870E9, 0x67DE9CCE, 0xC1A9977A, 0xF0418DE7, 0x56368653, 0x9391B8DD, + 0x35E6B369, 0x040EA9F4, 0xA279A240, 0x5431D2A9, 0xF246D91D, 0xC3AEC380, 0x65D9C834, + 0xA07EF6BA, 0x0609FD0E, 0x37E1E793, 0x9196EC27, 0xCFBD399C, 0x69CA3228, 0x582228B5, + 0xFE552301, 0x3BF21D8F, 0x9D85163B, 0xAC6D0CA6, 0x0A1A0712, 0xFC5277FB, 0x5A257C4F, + 0x6BCD66D2, 0xCDBA6D66, 0x081D53E8, 0xAE6A585C, 0x9F8242C1, 0x39F54975, 0xA863A552, + 0x0E14AEE6, 0x3FFCB47B, 0x998BBFCF, 0x5C2C8141, 0xFA5B8AF5, 0xCBB39068, 0x6DC49BDC, + 0x9B8CEB35, 0x3DFBE081, 0x0C13FA1C, 0xAA64F1A8, 0x6FC3CF26, 0xC9B4C492, 0xF85CDE0F, + 0x5E2BD5BB, 0x440B7579, 0xE27C7ECD, 0xD3946450, 0x75E36FE4, 0xB044516A, 0x16335ADE, + 0x27DB4043, 0x81AC4BF7, 0x77E43B1E, 0xD19330AA, 0xE07B2A37, 0x460C2183, 0x83AB1F0D, + 0x25DC14B9, 0x14340E24, 0xB2430590, 0x23D5E9B7, 0x85A2E203, 0xB44AF89E, 0x123DF32A, + 0xD79ACDA4, 0x71EDC610, 0x4005DC8D, 0xE672D739, 0x103AA7D0, 0xB64DAC64, 0x87A5B6F9, + 0x21D2BD4D, 0xE47583C3, 0x42028877, 0x73EA92EA, 0xD59D995E, 0x8BB64CE5, 0x2DC14751, + 0x1C295DCC, 0xBA5E5678, 0x7FF968F6, 0xD98E6342, 0xE86679DF, 0x4E11726B, 0xB8590282, + 0x1E2E0936, 0x2FC613AB, 0x89B1181F, 0x4C162691, 0xEA612D25, 0xDB8937B8, 0x7DFE3C0C, + 0xEC68D02B, 0x4A1FDB9F, 0x7BF7C102, 0xDD80CAB6, 0x1827F438, 0xBE50FF8C, 0x8FB8E511, + 0x29CFEEA5, 0xDF879E4C, 0x79F095F8, 0x48188F65, 0xEE6F84D1, 0x2BC8BA5F, 0x8DBFB1EB, + 0xBC57AB76, 0x1A20A0C2, 0x8816EAF2, 0x2E61E146, 0x1F89FBDB, 0xB9FEF06F, 0x7C59CEE1, + 0xDA2EC555, 0xEBC6DFC8, 0x4DB1D47C, 0xBBF9A495, 0x1D8EAF21, 0x2C66B5BC, 0x8A11BE08, + 0x4FB68086, 0xE9C18B32, 0xD82991AF, 0x7E5E9A1B, 0xEFC8763C, 0x49BF7D88, 0x78576715, + 0xDE206CA1, 0x1B87522F, 0xBDF0599B, 0x8C184306, 0x2A6F48B2, 0xDC27385B, 0x7A5033EF, + 0x4BB82972, 0xEDCF22C6, 0x28681C48, 0x8E1F17FC, 0xBFF70D61, 0x198006D5, 0x47ABD36E, + 0xE1DCD8DA, 0xD034C247, 0x7643C9F3, 0xB3E4F77D, 0x1593FCC9, 0x247BE654, 0x820CEDE0, + 0x74449D09, 0xD23396BD, 0xE3DB8C20, 0x45AC8794, 0x800BB91A, 0x267CB2AE, 0x1794A833, + 0xB1E3A387, 0x20754FA0, 0x86024414, 0xB7EA5E89, 0x119D553D, 0xD43A6BB3, 0x724D6007, + 0x43A57A9A, 0xE5D2712E, 0x139A01C7, 0xB5ED0A73, 0x840510EE, 0x22721B5A, 0xE7D525D4, + 0x41A22E60, 0x704A34FD, 0xD63D3F49, 0xCC1D9F8B, 0x6A6A943F, 0x5B828EA2, 0xFDF58516, + 0x3852BB98, 0x9E25B02C, 0xAFCDAAB1, 0x09BAA105, 0xFFF2D1EC, 0x5985DA58, 0x686DC0C5, + 0xCE1ACB71, 0x0BBDF5FF, 0xADCAFE4B, 0x9C22E4D6, 0x3A55EF62, 0xABC30345, 0x0DB408F1, + 0x3C5C126C, 0x9A2B19D8, 0x5F8C2756, 0xF9FB2CE2, 0xC813367F, 0x6E643DCB, 0x982C4D22, + 0x3E5B4696, 0x0FB35C0B, 0xA9C457BF, 0x6C636931, 0xCA146285, 0xFBFC7818, 0x5D8B73AC, + 0x03A0A617, 0xA5D7ADA3, 0x943FB73E, 0x3248BC8A, 0xF7EF8204, 0x519889B0, 0x6070932D, + 0xC6079899, 0x304FE870, 0x9638E3C4, 0xA7D0F959, 0x01A7F2ED, 0xC400CC63, 0x6277C7D7, + 0x539FDD4A, 0xF5E8D6FE, 0x647E3AD9, 0xC209316D, 0xF3E12BF0, 0x55962044, 0x90311ECA, + 0x3646157E, 0x07AE0FE3, 0xA1D90457, 0x579174BE, 0xF1E67F0A, 0xC00E6597, 0x66796E23, + 0xA3DE50AD, 0x05A95B19, 0x34414184, 0x92364A30, + ], + [ + 0x00000000, 0xCCAA009E, 0x4225077D, 0x8E8F07E3, 0x844A0EFA, 0x48E00E64, 0xC66F0987, + 0x0AC50919, 0xD3E51BB5, 0x1F4F1B2B, 0x91C01CC8, 0x5D6A1C56, 0x57AF154F, 0x9B0515D1, + 0x158A1232, 0xD92012AC, 0x7CBB312B, 0xB01131B5, 0x3E9E3656, 0xF23436C8, 0xF8F13FD1, + 0x345B3F4F, 0xBAD438AC, 0x767E3832, 0xAF5E2A9E, 0x63F42A00, 0xED7B2DE3, 0x21D12D7D, + 0x2B142464, 0xE7BE24FA, 0x69312319, 0xA59B2387, 0xF9766256, 0x35DC62C8, 0xBB53652B, + 0x77F965B5, 0x7D3C6CAC, 0xB1966C32, 0x3F196BD1, 0xF3B36B4F, 0x2A9379E3, 0xE639797D, + 0x68B67E9E, 0xA41C7E00, 0xAED97719, 0x62737787, 0xECFC7064, 0x205670FA, 0x85CD537D, + 0x496753E3, 0xC7E85400, 0x0B42549E, 0x01875D87, 0xCD2D5D19, 0x43A25AFA, 0x8F085A64, + 0x562848C8, 0x9A824856, 0x140D4FB5, 0xD8A74F2B, 0xD2624632, 0x1EC846AC, 0x9047414F, + 0x5CED41D1, 0x299DC2ED, 0xE537C273, 0x6BB8C590, 0xA712C50E, 0xADD7CC17, 0x617DCC89, + 0xEFF2CB6A, 0x2358CBF4, 0xFA78D958, 0x36D2D9C6, 0xB85DDE25, 0x74F7DEBB, 0x7E32D7A2, + 0xB298D73C, 0x3C17D0DF, 0xF0BDD041, 0x5526F3C6, 0x998CF358, 0x1703F4BB, 0xDBA9F425, + 0xD16CFD3C, 0x1DC6FDA2, 0x9349FA41, 0x5FE3FADF, 0x86C3E873, 0x4A69E8ED, 0xC4E6EF0E, + 0x084CEF90, 0x0289E689, 0xCE23E617, 0x40ACE1F4, 0x8C06E16A, 0xD0EBA0BB, 0x1C41A025, + 0x92CEA7C6, 0x5E64A758, 0x54A1AE41, 0x980BAEDF, 0x1684A93C, 0xDA2EA9A2, 0x030EBB0E, + 0xCFA4BB90, 0x412BBC73, 0x8D81BCED, 0x8744B5F4, 0x4BEEB56A, 0xC561B289, 0x09CBB217, + 0xAC509190, 0x60FA910E, 0xEE7596ED, 0x22DF9673, 0x281A9F6A, 0xE4B09FF4, 0x6A3F9817, + 0xA6959889, 0x7FB58A25, 0xB31F8ABB, 0x3D908D58, 0xF13A8DC6, 0xFBFF84DF, 0x37558441, + 0xB9DA83A2, 0x7570833C, 0x533B85DA, 0x9F918544, 0x111E82A7, 0xDDB48239, 0xD7718B20, + 0x1BDB8BBE, 0x95548C5D, 0x59FE8CC3, 0x80DE9E6F, 0x4C749EF1, 0xC2FB9912, 0x0E51998C, + 0x04949095, 0xC83E900B, 0x46B197E8, 0x8A1B9776, 0x2F80B4F1, 0xE32AB46F, 0x6DA5B38C, + 0xA10FB312, 0xABCABA0B, 0x6760BA95, 0xE9EFBD76, 0x2545BDE8, 0xFC65AF44, 0x30CFAFDA, + 0xBE40A839, 0x72EAA8A7, 0x782FA1BE, 0xB485A120, 0x3A0AA6C3, 0xF6A0A65D, 0xAA4DE78C, + 0x66E7E712, 0xE868E0F1, 0x24C2E06F, 0x2E07E976, 0xE2ADE9E8, 0x6C22EE0B, 0xA088EE95, + 0x79A8FC39, 0xB502FCA7, 0x3B8DFB44, 0xF727FBDA, 0xFDE2F2C3, 0x3148F25D, 0xBFC7F5BE, + 0x736DF520, 0xD6F6D6A7, 0x1A5CD639, 0x94D3D1DA, 0x5879D144, 0x52BCD85D, 0x9E16D8C3, + 0x1099DF20, 0xDC33DFBE, 0x0513CD12, 0xC9B9CD8C, 0x4736CA6F, 0x8B9CCAF1, 0x8159C3E8, + 0x4DF3C376, 0xC37CC495, 0x0FD6C40B, 0x7AA64737, 0xB60C47A9, 0x3883404A, 0xF42940D4, + 0xFEEC49CD, 0x32464953, 0xBCC94EB0, 0x70634E2E, 0xA9435C82, 0x65E95C1C, 0xEB665BFF, + 0x27CC5B61, 0x2D095278, 0xE1A352E6, 0x6F2C5505, 0xA386559B, 0x061D761C, 0xCAB77682, + 0x44387161, 0x889271FF, 0x825778E6, 0x4EFD7878, 0xC0727F9B, 0x0CD87F05, 0xD5F86DA9, + 0x19526D37, 0x97DD6AD4, 0x5B776A4A, 0x51B26353, 0x9D1863CD, 0x1397642E, 0xDF3D64B0, + 0x83D02561, 0x4F7A25FF, 0xC1F5221C, 0x0D5F2282, 0x079A2B9B, 0xCB302B05, 0x45BF2CE6, + 0x89152C78, 0x50353ED4, 0x9C9F3E4A, 0x121039A9, 0xDEBA3937, 0xD47F302E, 0x18D530B0, + 0x965A3753, 0x5AF037CD, 0xFF6B144A, 0x33C114D4, 0xBD4E1337, 0x71E413A9, 0x7B211AB0, + 0xB78B1A2E, 0x39041DCD, 0xF5AE1D53, 0x2C8E0FFF, 0xE0240F61, 0x6EAB0882, 0xA201081C, + 0xA8C40105, 0x646E019B, 0xEAE10678, 0x264B06E6, + ], + [ + 0x00000000, 0x177B1443, 0x2EF62886, 0x398D3CC5, 0x5DEC510C, 0x4A97454F, 0x731A798A, + 0x64616DC9, 0xBBD8A218, 0xACA3B65B, 0x952E8A9E, 0x82559EDD, 0xE634F314, 0xF14FE757, + 0xC8C2DB92, 0xDFB9CFD1, 0xACC04271, 0xBBBB5632, 0x82366AF7, 0x954D7EB4, 0xF12C137D, + 0xE657073E, 0xDFDA3BFB, 0xC8A12FB8, 0x1718E069, 0x0063F42A, 0x39EEC8EF, 0x2E95DCAC, + 0x4AF4B165, 0x5D8FA526, 0x640299E3, 0x73798DA0, 0x82F182A3, 0x958A96E0, 0xAC07AA25, + 0xBB7CBE66, 0xDF1DD3AF, 0xC866C7EC, 0xF1EBFB29, 0xE690EF6A, 0x392920BB, 0x2E5234F8, + 0x17DF083D, 0x00A41C7E, 0x64C571B7, 0x73BE65F4, 0x4A335931, 0x5D484D72, 0x2E31C0D2, + 0x394AD491, 0x00C7E854, 0x17BCFC17, 0x73DD91DE, 0x64A6859D, 0x5D2BB958, 0x4A50AD1B, + 0x95E962CA, 0x82927689, 0xBB1F4A4C, 0xAC645E0F, 0xC80533C6, 0xDF7E2785, 0xE6F31B40, + 0xF1880F03, 0xDE920307, 0xC9E91744, 0xF0642B81, 0xE71F3FC2, 0x837E520B, 0x94054648, + 0xAD887A8D, 0xBAF36ECE, 0x654AA11F, 0x7231B55C, 0x4BBC8999, 0x5CC79DDA, 0x38A6F013, + 0x2FDDE450, 0x1650D895, 0x012BCCD6, 0x72524176, 0x65295535, 0x5CA469F0, 0x4BDF7DB3, + 0x2FBE107A, 0x38C50439, 0x014838FC, 0x16332CBF, 0xC98AE36E, 0xDEF1F72D, 0xE77CCBE8, + 0xF007DFAB, 0x9466B262, 0x831DA621, 0xBA909AE4, 0xADEB8EA7, 0x5C6381A4, 0x4B1895E7, + 0x7295A922, 0x65EEBD61, 0x018FD0A8, 0x16F4C4EB, 0x2F79F82E, 0x3802EC6D, 0xE7BB23BC, + 0xF0C037FF, 0xC94D0B3A, 0xDE361F79, 0xBA5772B0, 0xAD2C66F3, 0x94A15A36, 0x83DA4E75, + 0xF0A3C3D5, 0xE7D8D796, 0xDE55EB53, 0xC92EFF10, 0xAD4F92D9, 0xBA34869A, 0x83B9BA5F, + 0x94C2AE1C, 0x4B7B61CD, 0x5C00758E, 0x658D494B, 0x72F65D08, 0x169730C1, 0x01EC2482, + 0x38611847, 0x2F1A0C04, 0x6655004F, 0x712E140C, 0x48A328C9, 0x5FD83C8A, 0x3BB95143, + 0x2CC24500, 0x154F79C5, 0x02346D86, 0xDD8DA257, 0xCAF6B614, 0xF37B8AD1, 0xE4009E92, + 0x8061F35B, 0x971AE718, 0xAE97DBDD, 0xB9ECCF9E, 0xCA95423E, 0xDDEE567D, 0xE4636AB8, + 0xF3187EFB, 0x97791332, 0x80020771, 0xB98F3BB4, 0xAEF42FF7, 0x714DE026, 0x6636F465, + 0x5FBBC8A0, 0x48C0DCE3, 0x2CA1B12A, 0x3BDAA569, 0x025799AC, 0x152C8DEF, 0xE4A482EC, + 0xF3DF96AF, 0xCA52AA6A, 0xDD29BE29, 0xB948D3E0, 0xAE33C7A3, 0x97BEFB66, 0x80C5EF25, + 0x5F7C20F4, 0x480734B7, 0x718A0872, 0x66F11C31, 0x029071F8, 0x15EB65BB, 0x2C66597E, + 0x3B1D4D3D, 0x4864C09D, 0x5F1FD4DE, 0x6692E81B, 0x71E9FC58, 0x15889191, 0x02F385D2, + 0x3B7EB917, 0x2C05AD54, 0xF3BC6285, 0xE4C776C6, 0xDD4A4A03, 0xCA315E40, 0xAE503389, + 0xB92B27CA, 0x80A61B0F, 0x97DD0F4C, 0xB8C70348, 0xAFBC170B, 0x96312BCE, 0x814A3F8D, + 0xE52B5244, 0xF2504607, 0xCBDD7AC2, 0xDCA66E81, 0x031FA150, 0x1464B513, 0x2DE989D6, + 0x3A929D95, 0x5EF3F05C, 0x4988E41F, 0x7005D8DA, 0x677ECC99, 0x14074139, 0x037C557A, + 0x3AF169BF, 0x2D8A7DFC, 0x49EB1035, 0x5E900476, 0x671D38B3, 0x70662CF0, 0xAFDFE321, + 0xB8A4F762, 0x8129CBA7, 0x9652DFE4, 0xF233B22D, 0xE548A66E, 0xDCC59AAB, 0xCBBE8EE8, + 0x3A3681EB, 0x2D4D95A8, 0x14C0A96D, 0x03BBBD2E, 0x67DAD0E7, 0x70A1C4A4, 0x492CF861, + 0x5E57EC22, 0x81EE23F3, 0x969537B0, 0xAF180B75, 0xB8631F36, 0xDC0272FF, 0xCB7966BC, + 0xF2F45A79, 0xE58F4E3A, 0x96F6C39A, 0x818DD7D9, 0xB800EB1C, 0xAF7BFF5F, 0xCB1A9296, + 0xDC6186D5, 0xE5ECBA10, 0xF297AE53, 0x2D2E6182, 0x3A5575C1, 0x03D84904, 0x14A35D47, + 0x70C2308E, 0x67B924CD, 0x5E341808, 0x494F0C4B, + ], + [ + 0x00000000, 0xEFC26B3E, 0x04F5D03D, 0xEB37BB03, 0x09EBA07A, 0xE629CB44, 0x0D1E7047, + 0xE2DC1B79, 0x13D740F4, 0xFC152BCA, 0x172290C9, 0xF8E0FBF7, 0x1A3CE08E, 0xF5FE8BB0, + 0x1EC930B3, 0xF10B5B8D, 0x27AE81E8, 0xC86CEAD6, 0x235B51D5, 0xCC993AEB, 0x2E452192, + 0xC1874AAC, 0x2AB0F1AF, 0xC5729A91, 0x3479C11C, 0xDBBBAA22, 0x308C1121, 0xDF4E7A1F, + 0x3D926166, 0xD2500A58, 0x3967B15B, 0xD6A5DA65, 0x4F5D03D0, 0xA09F68EE, 0x4BA8D3ED, + 0xA46AB8D3, 0x46B6A3AA, 0xA974C894, 0x42437397, 0xAD8118A9, 0x5C8A4324, 0xB348281A, + 0x587F9319, 0xB7BDF827, 0x5561E35E, 0xBAA38860, 0x51943363, 0xBE56585D, 0x68F38238, + 0x8731E906, 0x6C065205, 0x83C4393B, 0x61182242, 0x8EDA497C, 0x65EDF27F, 0x8A2F9941, + 0x7B24C2CC, 0x94E6A9F2, 0x7FD112F1, 0x901379CF, 0x72CF62B6, 0x9D0D0988, 0x763AB28B, + 0x99F8D9B5, 0x9EBA07A0, 0x71786C9E, 0x9A4FD79D, 0x758DBCA3, 0x9751A7DA, 0x7893CCE4, + 0x93A477E7, 0x7C661CD9, 0x8D6D4754, 0x62AF2C6A, 0x89989769, 0x665AFC57, 0x8486E72E, + 0x6B448C10, 0x80733713, 0x6FB15C2D, 0xB9148648, 0x56D6ED76, 0xBDE15675, 0x52233D4B, + 0xB0FF2632, 0x5F3D4D0C, 0xB40AF60F, 0x5BC89D31, 0xAAC3C6BC, 0x4501AD82, 0xAE361681, + 0x41F47DBF, 0xA32866C6, 0x4CEA0DF8, 0xA7DDB6FB, 0x481FDDC5, 0xD1E70470, 0x3E256F4E, + 0xD512D44D, 0x3AD0BF73, 0xD80CA40A, 0x37CECF34, 0xDCF97437, 0x333B1F09, 0xC2304484, + 0x2DF22FBA, 0xC6C594B9, 0x2907FF87, 0xCBDBE4FE, 0x24198FC0, 0xCF2E34C3, 0x20EC5FFD, + 0xF6498598, 0x198BEEA6, 0xF2BC55A5, 0x1D7E3E9B, 0xFFA225E2, 0x10604EDC, 0xFB57F5DF, + 0x14959EE1, 0xE59EC56C, 0x0A5CAE52, 0xE16B1551, 0x0EA97E6F, 0xEC756516, 0x03B70E28, + 0xE880B52B, 0x0742DE15, 0xE6050901, 0x09C7623F, 0xE2F0D93C, 0x0D32B202, 0xEFEEA97B, + 0x002CC245, 0xEB1B7946, 0x04D91278, 0xF5D249F5, 0x1A1022CB, 0xF12799C8, 0x1EE5F2F6, + 0xFC39E98F, 0x13FB82B1, 0xF8CC39B2, 0x170E528C, 0xC1AB88E9, 0x2E69E3D7, 0xC55E58D4, + 0x2A9C33EA, 0xC8402893, 0x278243AD, 0xCCB5F8AE, 0x23779390, 0xD27CC81D, 0x3DBEA323, + 0xD6891820, 0x394B731E, 0xDB976867, 0x34550359, 0xDF62B85A, 0x30A0D364, 0xA9580AD1, + 0x469A61EF, 0xADADDAEC, 0x426FB1D2, 0xA0B3AAAB, 0x4F71C195, 0xA4467A96, 0x4B8411A8, + 0xBA8F4A25, 0x554D211B, 0xBE7A9A18, 0x51B8F126, 0xB364EA5F, 0x5CA68161, 0xB7913A62, + 0x5853515C, 0x8EF68B39, 0x6134E007, 0x8A035B04, 0x65C1303A, 0x871D2B43, 0x68DF407D, + 0x83E8FB7E, 0x6C2A9040, 0x9D21CBCD, 0x72E3A0F3, 0x99D41BF0, 0x761670CE, 0x94CA6BB7, + 0x7B080089, 0x903FBB8A, 0x7FFDD0B4, 0x78BF0EA1, 0x977D659F, 0x7C4ADE9C, 0x9388B5A2, + 0x7154AEDB, 0x9E96C5E5, 0x75A17EE6, 0x9A6315D8, 0x6B684E55, 0x84AA256B, 0x6F9D9E68, + 0x805FF556, 0x6283EE2F, 0x8D418511, 0x66763E12, 0x89B4552C, 0x5F118F49, 0xB0D3E477, + 0x5BE45F74, 0xB426344A, 0x56FA2F33, 0xB938440D, 0x520FFF0E, 0xBDCD9430, 0x4CC6CFBD, + 0xA304A483, 0x48331F80, 0xA7F174BE, 0x452D6FC7, 0xAAEF04F9, 0x41D8BFFA, 0xAE1AD4C4, + 0x37E20D71, 0xD820664F, 0x3317DD4C, 0xDCD5B672, 0x3E09AD0B, 0xD1CBC635, 0x3AFC7D36, + 0xD53E1608, 0x24354D85, 0xCBF726BB, 0x20C09DB8, 0xCF02F686, 0x2DDEEDFF, 0xC21C86C1, + 0x292B3DC2, 0xC6E956FC, 0x104C8C99, 0xFF8EE7A7, 0x14B95CA4, 0xFB7B379A, 0x19A72CE3, + 0xF66547DD, 0x1D52FCDE, 0xF29097E0, 0x039BCC6D, 0xEC59A753, 0x076E1C50, 0xE8AC776E, + 0x0A706C17, 0xE5B20729, 0x0E85BC2A, 0xE147D714, + ], + [ + 0x00000000, 0xC18EDFC0, 0x586CB9C1, 0x99E26601, 0xB0D97382, 0x7157AC42, 0xE8B5CA43, + 0x293B1583, 0xBAC3E145, 0x7B4D3E85, 0xE2AF5884, 0x23218744, 0x0A1A92C7, 0xCB944D07, + 0x52762B06, 0x93F8F4C6, 0xAEF6C4CB, 0x6F781B0B, 0xF69A7D0A, 0x3714A2CA, 0x1E2FB749, + 0xDFA16889, 0x46430E88, 0x87CDD148, 0x1435258E, 0xD5BBFA4E, 0x4C599C4F, 0x8DD7438F, + 0xA4EC560C, 0x656289CC, 0xFC80EFCD, 0x3D0E300D, 0x869C8FD7, 0x47125017, 0xDEF03616, + 0x1F7EE9D6, 0x3645FC55, 0xF7CB2395, 0x6E294594, 0xAFA79A54, 0x3C5F6E92, 0xFDD1B152, + 0x6433D753, 0xA5BD0893, 0x8C861D10, 0x4D08C2D0, 0xD4EAA4D1, 0x15647B11, 0x286A4B1C, + 0xE9E494DC, 0x7006F2DD, 0xB1882D1D, 0x98B3389E, 0x593DE75E, 0xC0DF815F, 0x01515E9F, + 0x92A9AA59, 0x53277599, 0xCAC51398, 0x0B4BCC58, 0x2270D9DB, 0xE3FE061B, 0x7A1C601A, + 0xBB92BFDA, 0xD64819EF, 0x17C6C62F, 0x8E24A02E, 0x4FAA7FEE, 0x66916A6D, 0xA71FB5AD, + 0x3EFDD3AC, 0xFF730C6C, 0x6C8BF8AA, 0xAD05276A, 0x34E7416B, 0xF5699EAB, 0xDC528B28, + 0x1DDC54E8, 0x843E32E9, 0x45B0ED29, 0x78BEDD24, 0xB93002E4, 0x20D264E5, 0xE15CBB25, + 0xC867AEA6, 0x09E97166, 0x900B1767, 0x5185C8A7, 0xC27D3C61, 0x03F3E3A1, 0x9A1185A0, + 0x5B9F5A60, 0x72A44FE3, 0xB32A9023, 0x2AC8F622, 0xEB4629E2, 0x50D49638, 0x915A49F8, + 0x08B82FF9, 0xC936F039, 0xE00DE5BA, 0x21833A7A, 0xB8615C7B, 0x79EF83BB, 0xEA17777D, + 0x2B99A8BD, 0xB27BCEBC, 0x73F5117C, 0x5ACE04FF, 0x9B40DB3F, 0x02A2BD3E, 0xC32C62FE, + 0xFE2252F3, 0x3FAC8D33, 0xA64EEB32, 0x67C034F2, 0x4EFB2171, 0x8F75FEB1, 0x169798B0, + 0xD7194770, 0x44E1B3B6, 0x856F6C76, 0x1C8D0A77, 0xDD03D5B7, 0xF438C034, 0x35B61FF4, + 0xAC5479F5, 0x6DDAA635, 0x77E1359F, 0xB66FEA5F, 0x2F8D8C5E, 0xEE03539E, 0xC738461D, + 0x06B699DD, 0x9F54FFDC, 0x5EDA201C, 0xCD22D4DA, 0x0CAC0B1A, 0x954E6D1B, 0x54C0B2DB, + 0x7DFBA758, 0xBC757898, 0x25971E99, 0xE419C159, 0xD917F154, 0x18992E94, 0x817B4895, + 0x40F59755, 0x69CE82D6, 0xA8405D16, 0x31A23B17, 0xF02CE4D7, 0x63D41011, 0xA25ACFD1, + 0x3BB8A9D0, 0xFA367610, 0xD30D6393, 0x1283BC53, 0x8B61DA52, 0x4AEF0592, 0xF17DBA48, + 0x30F36588, 0xA9110389, 0x689FDC49, 0x41A4C9CA, 0x802A160A, 0x19C8700B, 0xD846AFCB, + 0x4BBE5B0D, 0x8A3084CD, 0x13D2E2CC, 0xD25C3D0C, 0xFB67288F, 0x3AE9F74F, 0xA30B914E, + 0x62854E8E, 0x5F8B7E83, 0x9E05A143, 0x07E7C742, 0xC6691882, 0xEF520D01, 0x2EDCD2C1, + 0xB73EB4C0, 0x76B06B00, 0xE5489FC6, 0x24C64006, 0xBD242607, 0x7CAAF9C7, 0x5591EC44, + 0x941F3384, 0x0DFD5585, 0xCC738A45, 0xA1A92C70, 0x6027F3B0, 0xF9C595B1, 0x384B4A71, + 0x11705FF2, 0xD0FE8032, 0x491CE633, 0x889239F3, 0x1B6ACD35, 0xDAE412F5, 0x430674F4, + 0x8288AB34, 0xABB3BEB7, 0x6A3D6177, 0xF3DF0776, 0x3251D8B6, 0x0F5FE8BB, 0xCED1377B, + 0x5733517A, 0x96BD8EBA, 0xBF869B39, 0x7E0844F9, 0xE7EA22F8, 0x2664FD38, 0xB59C09FE, + 0x7412D63E, 0xEDF0B03F, 0x2C7E6FFF, 0x05457A7C, 0xC4CBA5BC, 0x5D29C3BD, 0x9CA71C7D, + 0x2735A3A7, 0xE6BB7C67, 0x7F591A66, 0xBED7C5A6, 0x97ECD025, 0x56620FE5, 0xCF8069E4, + 0x0E0EB624, 0x9DF642E2, 0x5C789D22, 0xC59AFB23, 0x041424E3, 0x2D2F3160, 0xECA1EEA0, + 0x754388A1, 0xB4CD5761, 0x89C3676C, 0x484DB8AC, 0xD1AFDEAD, 0x1021016D, 0x391A14EE, + 0xF894CB2E, 0x6176AD2F, 0xA0F872EF, 0x33008629, 0xF28E59E9, 0x6B6C3FE8, 0xAAE2E028, + 0x83D9F5AB, 0x42572A6B, 0xDBB54C6A, 0x1A3B93AA, + ], + [ + 0x00000000, 0x9BA54C6F, 0xEC3B9E9F, 0x779ED2F0, 0x03063B7F, 0x98A37710, 0xEF3DA5E0, + 0x7498E98F, 0x060C76FE, 0x9DA93A91, 0xEA37E861, 0x7192A40E, 0x050A4D81, 0x9EAF01EE, + 0xE931D31E, 0x72949F71, 0x0C18EDFC, 0x97BDA193, 0xE0237363, 0x7B863F0C, 0x0F1ED683, + 0x94BB9AEC, 0xE325481C, 0x78800473, 0x0A149B02, 0x91B1D76D, 0xE62F059D, 0x7D8A49F2, + 0x0912A07D, 0x92B7EC12, 0xE5293EE2, 0x7E8C728D, 0x1831DBF8, 0x83949797, 0xF40A4567, + 0x6FAF0908, 0x1B37E087, 0x8092ACE8, 0xF70C7E18, 0x6CA93277, 0x1E3DAD06, 0x8598E169, + 0xF2063399, 0x69A37FF6, 0x1D3B9679, 0x869EDA16, 0xF10008E6, 0x6AA54489, 0x14293604, + 0x8F8C7A6B, 0xF812A89B, 0x63B7E4F4, 0x172F0D7B, 0x8C8A4114, 0xFB1493E4, 0x60B1DF8B, + 0x122540FA, 0x89800C95, 0xFE1EDE65, 0x65BB920A, 0x11237B85, 0x8A8637EA, 0xFD18E51A, + 0x66BDA975, 0x3063B7F0, 0xABC6FB9F, 0xDC58296F, 0x47FD6500, 0x33658C8F, 0xA8C0C0E0, + 0xDF5E1210, 0x44FB5E7F, 0x366FC10E, 0xADCA8D61, 0xDA545F91, 0x41F113FE, 0x3569FA71, + 0xAECCB61E, 0xD95264EE, 0x42F72881, 0x3C7B5A0C, 0xA7DE1663, 0xD040C493, 0x4BE588FC, + 0x3F7D6173, 0xA4D82D1C, 0xD346FFEC, 0x48E3B383, 0x3A772CF2, 0xA1D2609D, 0xD64CB26D, + 0x4DE9FE02, 0x3971178D, 0xA2D45BE2, 0xD54A8912, 0x4EEFC57D, 0x28526C08, 0xB3F72067, + 0xC469F297, 0x5FCCBEF8, 0x2B545777, 0xB0F11B18, 0xC76FC9E8, 0x5CCA8587, 0x2E5E1AF6, + 0xB5FB5699, 0xC2658469, 0x59C0C806, 0x2D582189, 0xB6FD6DE6, 0xC163BF16, 0x5AC6F379, + 0x244A81F4, 0xBFEFCD9B, 0xC8711F6B, 0x53D45304, 0x274CBA8B, 0xBCE9F6E4, 0xCB772414, + 0x50D2687B, 0x2246F70A, 0xB9E3BB65, 0xCE7D6995, 0x55D825FA, 0x2140CC75, 0xBAE5801A, + 0xCD7B52EA, 0x56DE1E85, 0x60C76FE0, 0xFB62238F, 0x8CFCF17F, 0x1759BD10, 0x63C1549F, + 0xF86418F0, 0x8FFACA00, 0x145F866F, 0x66CB191E, 0xFD6E5571, 0x8AF08781, 0x1155CBEE, + 0x65CD2261, 0xFE686E0E, 0x89F6BCFE, 0x1253F091, 0x6CDF821C, 0xF77ACE73, 0x80E41C83, + 0x1B4150EC, 0x6FD9B963, 0xF47CF50C, 0x83E227FC, 0x18476B93, 0x6AD3F4E2, 0xF176B88D, + 0x86E86A7D, 0x1D4D2612, 0x69D5CF9D, 0xF27083F2, 0x85EE5102, 0x1E4B1D6D, 0x78F6B418, + 0xE353F877, 0x94CD2A87, 0x0F6866E8, 0x7BF08F67, 0xE055C308, 0x97CB11F8, 0x0C6E5D97, + 0x7EFAC2E6, 0xE55F8E89, 0x92C15C79, 0x09641016, 0x7DFCF999, 0xE659B5F6, 0x91C76706, + 0x0A622B69, 0x74EE59E4, 0xEF4B158B, 0x98D5C77B, 0x03708B14, 0x77E8629B, 0xEC4D2EF4, + 0x9BD3FC04, 0x0076B06B, 0x72E22F1A, 0xE9476375, 0x9ED9B185, 0x057CFDEA, 0x71E41465, + 0xEA41580A, 0x9DDF8AFA, 0x067AC695, 0x50A4D810, 0xCB01947F, 0xBC9F468F, 0x273A0AE0, + 0x53A2E36F, 0xC807AF00, 0xBF997DF0, 0x243C319F, 0x56A8AEEE, 0xCD0DE281, 0xBA933071, + 0x21367C1E, 0x55AE9591, 0xCE0BD9FE, 0xB9950B0E, 0x22304761, 0x5CBC35EC, 0xC7197983, + 0xB087AB73, 0x2B22E71C, 0x5FBA0E93, 0xC41F42FC, 0xB381900C, 0x2824DC63, 0x5AB04312, + 0xC1150F7D, 0xB68BDD8D, 0x2D2E91E2, 0x59B6786D, 0xC2133402, 0xB58DE6F2, 0x2E28AA9D, + 0x489503E8, 0xD3304F87, 0xA4AE9D77, 0x3F0BD118, 0x4B933897, 0xD03674F8, 0xA7A8A608, + 0x3C0DEA67, 0x4E997516, 0xD53C3979, 0xA2A2EB89, 0x3907A7E6, 0x4D9F4E69, 0xD63A0206, + 0xA1A4D0F6, 0x3A019C99, 0x448DEE14, 0xDF28A27B, 0xA8B6708B, 0x33133CE4, 0x478BD56B, + 0xDC2E9904, 0xABB04BF4, 0x3015079B, 0x428198EA, 0xD924D485, 0xAEBA0675, 0x351F4A1A, + 0x4187A395, 0xDA22EFFA, 0xADBC3D0A, 0x36197165, + ], + [ + 0x00000000, 0xDD96D985, 0x605CB54B, 0xBDCA6CCE, 0xC0B96A96, 0x1D2FB313, 0xA0E5DFDD, + 0x7D730658, 0x5A03D36D, 0x87950AE8, 0x3A5F6626, 0xE7C9BFA3, 0x9ABAB9FB, 0x472C607E, + 0xFAE60CB0, 0x2770D535, 0xB407A6DA, 0x69917F5F, 0xD45B1391, 0x09CDCA14, 0x74BECC4C, + 0xA92815C9, 0x14E27907, 0xC974A082, 0xEE0475B7, 0x3392AC32, 0x8E58C0FC, 0x53CE1979, + 0x2EBD1F21, 0xF32BC6A4, 0x4EE1AA6A, 0x937773EF, 0xB37E4BF5, 0x6EE89270, 0xD322FEBE, + 0x0EB4273B, 0x73C72163, 0xAE51F8E6, 0x139B9428, 0xCE0D4DAD, 0xE97D9898, 0x34EB411D, + 0x89212DD3, 0x54B7F456, 0x29C4F20E, 0xF4522B8B, 0x49984745, 0x940E9EC0, 0x0779ED2F, + 0xDAEF34AA, 0x67255864, 0xBAB381E1, 0xC7C087B9, 0x1A565E3C, 0xA79C32F2, 0x7A0AEB77, + 0x5D7A3E42, 0x80ECE7C7, 0x3D268B09, 0xE0B0528C, 0x9DC354D4, 0x40558D51, 0xFD9FE19F, + 0x2009381A, 0xBD8D91AB, 0x601B482E, 0xDDD124E0, 0x0047FD65, 0x7D34FB3D, 0xA0A222B8, + 0x1D684E76, 0xC0FE97F3, 0xE78E42C6, 0x3A189B43, 0x87D2F78D, 0x5A442E08, 0x27372850, + 0xFAA1F1D5, 0x476B9D1B, 0x9AFD449E, 0x098A3771, 0xD41CEEF4, 0x69D6823A, 0xB4405BBF, + 0xC9335DE7, 0x14A58462, 0xA96FE8AC, 0x74F93129, 0x5389E41C, 0x8E1F3D99, 0x33D55157, + 0xEE4388D2, 0x93308E8A, 0x4EA6570F, 0xF36C3BC1, 0x2EFAE244, 0x0EF3DA5E, 0xD36503DB, + 0x6EAF6F15, 0xB339B690, 0xCE4AB0C8, 0x13DC694D, 0xAE160583, 0x7380DC06, 0x54F00933, + 0x8966D0B6, 0x34ACBC78, 0xE93A65FD, 0x944963A5, 0x49DFBA20, 0xF415D6EE, 0x29830F6B, + 0xBAF47C84, 0x6762A501, 0xDAA8C9CF, 0x073E104A, 0x7A4D1612, 0xA7DBCF97, 0x1A11A359, + 0xC7877ADC, 0xE0F7AFE9, 0x3D61766C, 0x80AB1AA2, 0x5D3DC327, 0x204EC57F, 0xFDD81CFA, + 0x40127034, 0x9D84A9B1, 0xA06A2517, 0x7DFCFC92, 0xC036905C, 0x1DA049D9, 0x60D34F81, + 0xBD459604, 0x008FFACA, 0xDD19234F, 0xFA69F67A, 0x27FF2FFF, 0x9A354331, 0x47A39AB4, + 0x3AD09CEC, 0xE7464569, 0x5A8C29A7, 0x871AF022, 0x146D83CD, 0xC9FB5A48, 0x74313686, + 0xA9A7EF03, 0xD4D4E95B, 0x094230DE, 0xB4885C10, 0x691E8595, 0x4E6E50A0, 0x93F88925, + 0x2E32E5EB, 0xF3A43C6E, 0x8ED73A36, 0x5341E3B3, 0xEE8B8F7D, 0x331D56F8, 0x13146EE2, + 0xCE82B767, 0x7348DBA9, 0xAEDE022C, 0xD3AD0474, 0x0E3BDDF1, 0xB3F1B13F, 0x6E6768BA, + 0x4917BD8F, 0x9481640A, 0x294B08C4, 0xF4DDD141, 0x89AED719, 0x54380E9C, 0xE9F26252, + 0x3464BBD7, 0xA713C838, 0x7A8511BD, 0xC74F7D73, 0x1AD9A4F6, 0x67AAA2AE, 0xBA3C7B2B, + 0x07F617E5, 0xDA60CE60, 0xFD101B55, 0x2086C2D0, 0x9D4CAE1E, 0x40DA779B, 0x3DA971C3, + 0xE03FA846, 0x5DF5C488, 0x80631D0D, 0x1DE7B4BC, 0xC0716D39, 0x7DBB01F7, 0xA02DD872, + 0xDD5EDE2A, 0x00C807AF, 0xBD026B61, 0x6094B2E4, 0x47E467D1, 0x9A72BE54, 0x27B8D29A, + 0xFA2E0B1F, 0x875D0D47, 0x5ACBD4C2, 0xE701B80C, 0x3A976189, 0xA9E01266, 0x7476CBE3, + 0xC9BCA72D, 0x142A7EA8, 0x695978F0, 0xB4CFA175, 0x0905CDBB, 0xD493143E, 0xF3E3C10B, + 0x2E75188E, 0x93BF7440, 0x4E29ADC5, 0x335AAB9D, 0xEECC7218, 0x53061ED6, 0x8E90C753, + 0xAE99FF49, 0x730F26CC, 0xCEC54A02, 0x13539387, 0x6E2095DF, 0xB3B64C5A, 0x0E7C2094, + 0xD3EAF911, 0xF49A2C24, 0x290CF5A1, 0x94C6996F, 0x495040EA, 0x342346B2, 0xE9B59F37, + 0x547FF3F9, 0x89E92A7C, 0x1A9E5993, 0xC7088016, 0x7AC2ECD8, 0xA754355D, 0xDA273305, + 0x07B1EA80, 0xBA7B864E, 0x67ED5FCB, 0x409D8AFE, 0x9D0B537B, 0x20C13FB5, 0xFD57E630, + 0x8024E068, 0x5DB239ED, 0xE0785523, 0x3DEE8CA6, + ], + [ + 0x00000000, 0x9D0FE176, 0xE16EC4AD, 0x7C6125DB, 0x19AC8F1B, 0x84A36E6D, 0xF8C24BB6, + 0x65CDAAC0, 0x33591E36, 0xAE56FF40, 0xD237DA9B, 0x4F383BED, 0x2AF5912D, 0xB7FA705B, + 0xCB9B5580, 0x5694B4F6, 0x66B23C6C, 0xFBBDDD1A, 0x87DCF8C1, 0x1AD319B7, 0x7F1EB377, + 0xE2115201, 0x9E7077DA, 0x037F96AC, 0x55EB225A, 0xC8E4C32C, 0xB485E6F7, 0x298A0781, + 0x4C47AD41, 0xD1484C37, 0xAD2969EC, 0x3026889A, 0xCD6478D8, 0x506B99AE, 0x2C0ABC75, + 0xB1055D03, 0xD4C8F7C3, 0x49C716B5, 0x35A6336E, 0xA8A9D218, 0xFE3D66EE, 0x63328798, + 0x1F53A243, 0x825C4335, 0xE791E9F5, 0x7A9E0883, 0x06FF2D58, 0x9BF0CC2E, 0xABD644B4, + 0x36D9A5C2, 0x4AB88019, 0xD7B7616F, 0xB27ACBAF, 0x2F752AD9, 0x53140F02, 0xCE1BEE74, + 0x988F5A82, 0x0580BBF4, 0x79E19E2F, 0xE4EE7F59, 0x8123D599, 0x1C2C34EF, 0x604D1134, + 0xFD42F042, 0x41B9F7F1, 0xDCB61687, 0xA0D7335C, 0x3DD8D22A, 0x581578EA, 0xC51A999C, + 0xB97BBC47, 0x24745D31, 0x72E0E9C7, 0xEFEF08B1, 0x938E2D6A, 0x0E81CC1C, 0x6B4C66DC, + 0xF64387AA, 0x8A22A271, 0x172D4307, 0x270BCB9D, 0xBA042AEB, 0xC6650F30, 0x5B6AEE46, + 0x3EA74486, 0xA3A8A5F0, 0xDFC9802B, 0x42C6615D, 0x1452D5AB, 0x895D34DD, 0xF53C1106, + 0x6833F070, 0x0DFE5AB0, 0x90F1BBC6, 0xEC909E1D, 0x719F7F6B, 0x8CDD8F29, 0x11D26E5F, + 0x6DB34B84, 0xF0BCAAF2, 0x95710032, 0x087EE144, 0x741FC49F, 0xE91025E9, 0xBF84911F, + 0x228B7069, 0x5EEA55B2, 0xC3E5B4C4, 0xA6281E04, 0x3B27FF72, 0x4746DAA9, 0xDA493BDF, + 0xEA6FB345, 0x77605233, 0x0B0177E8, 0x960E969E, 0xF3C33C5E, 0x6ECCDD28, 0x12ADF8F3, + 0x8FA21985, 0xD936AD73, 0x44394C05, 0x385869DE, 0xA55788A8, 0xC09A2268, 0x5D95C31E, + 0x21F4E6C5, 0xBCFB07B3, 0x8373EFE2, 0x1E7C0E94, 0x621D2B4F, 0xFF12CA39, 0x9ADF60F9, + 0x07D0818F, 0x7BB1A454, 0xE6BE4522, 0xB02AF1D4, 0x2D2510A2, 0x51443579, 0xCC4BD40F, + 0xA9867ECF, 0x34899FB9, 0x48E8BA62, 0xD5E75B14, 0xE5C1D38E, 0x78CE32F8, 0x04AF1723, + 0x99A0F655, 0xFC6D5C95, 0x6162BDE3, 0x1D039838, 0x800C794E, 0xD698CDB8, 0x4B972CCE, + 0x37F60915, 0xAAF9E863, 0xCF3442A3, 0x523BA3D5, 0x2E5A860E, 0xB3556778, 0x4E17973A, + 0xD318764C, 0xAF795397, 0x3276B2E1, 0x57BB1821, 0xCAB4F957, 0xB6D5DC8C, 0x2BDA3DFA, + 0x7D4E890C, 0xE041687A, 0x9C204DA1, 0x012FACD7, 0x64E20617, 0xF9EDE761, 0x858CC2BA, + 0x188323CC, 0x28A5AB56, 0xB5AA4A20, 0xC9CB6FFB, 0x54C48E8D, 0x3109244D, 0xAC06C53B, + 0xD067E0E0, 0x4D680196, 0x1BFCB560, 0x86F35416, 0xFA9271CD, 0x679D90BB, 0x02503A7B, + 0x9F5FDB0D, 0xE33EFED6, 0x7E311FA0, 0xC2CA1813, 0x5FC5F965, 0x23A4DCBE, 0xBEAB3DC8, + 0xDB669708, 0x4669767E, 0x3A0853A5, 0xA707B2D3, 0xF1930625, 0x6C9CE753, 0x10FDC288, + 0x8DF223FE, 0xE83F893E, 0x75306848, 0x09514D93, 0x945EACE5, 0xA478247F, 0x3977C509, + 0x4516E0D2, 0xD81901A4, 0xBDD4AB64, 0x20DB4A12, 0x5CBA6FC9, 0xC1B58EBF, 0x97213A49, + 0x0A2EDB3F, 0x764FFEE4, 0xEB401F92, 0x8E8DB552, 0x13825424, 0x6FE371FF, 0xF2EC9089, + 0x0FAE60CB, 0x92A181BD, 0xEEC0A466, 0x73CF4510, 0x1602EFD0, 0x8B0D0EA6, 0xF76C2B7D, + 0x6A63CA0B, 0x3CF77EFD, 0xA1F89F8B, 0xDD99BA50, 0x40965B26, 0x255BF1E6, 0xB8541090, + 0xC435354B, 0x593AD43D, 0x691C5CA7, 0xF413BDD1, 0x8872980A, 0x157D797C, 0x70B0D3BC, + 0xEDBF32CA, 0x91DE1711, 0x0CD1F667, 0x5A454291, 0xC74AA3E7, 0xBB2B863C, 0x2624674A, + 0x43E9CD8A, 0xDEE62CFC, 0xA2870927, 0x3F88E851, + ], + [ + 0x00000000, 0xB9FBDBE8, 0xA886B191, 0x117D6A79, 0x8A7C6563, 0x3387BE8B, 0x22FAD4F2, + 0x9B010F1A, 0xCF89CC87, 0x7672176F, 0x670F7D16, 0xDEF4A6FE, 0x45F5A9E4, 0xFC0E720C, + 0xED731875, 0x5488C39D, 0x44629F4F, 0xFD9944A7, 0xECE42EDE, 0x551FF536, 0xCE1EFA2C, + 0x77E521C4, 0x66984BBD, 0xDF639055, 0x8BEB53C8, 0x32108820, 0x236DE259, 0x9A9639B1, + 0x019736AB, 0xB86CED43, 0xA911873A, 0x10EA5CD2, 0x88C53E9E, 0x313EE576, 0x20438F0F, + 0x99B854E7, 0x02B95BFD, 0xBB428015, 0xAA3FEA6C, 0x13C43184, 0x474CF219, 0xFEB729F1, + 0xEFCA4388, 0x56319860, 0xCD30977A, 0x74CB4C92, 0x65B626EB, 0xDC4DFD03, 0xCCA7A1D1, + 0x755C7A39, 0x64211040, 0xDDDACBA8, 0x46DBC4B2, 0xFF201F5A, 0xEE5D7523, 0x57A6AECB, + 0x032E6D56, 0xBAD5B6BE, 0xABA8DCC7, 0x1253072F, 0x89520835, 0x30A9D3DD, 0x21D4B9A4, + 0x982F624C, 0xCAFB7B7D, 0x7300A095, 0x627DCAEC, 0xDB861104, 0x40871E1E, 0xF97CC5F6, + 0xE801AF8F, 0x51FA7467, 0x0572B7FA, 0xBC896C12, 0xADF4066B, 0x140FDD83, 0x8F0ED299, + 0x36F50971, 0x27886308, 0x9E73B8E0, 0x8E99E432, 0x37623FDA, 0x261F55A3, 0x9FE48E4B, + 0x04E58151, 0xBD1E5AB9, 0xAC6330C0, 0x1598EB28, 0x411028B5, 0xF8EBF35D, 0xE9969924, + 0x506D42CC, 0xCB6C4DD6, 0x7297963E, 0x63EAFC47, 0xDA1127AF, 0x423E45E3, 0xFBC59E0B, + 0xEAB8F472, 0x53432F9A, 0xC8422080, 0x71B9FB68, 0x60C49111, 0xD93F4AF9, 0x8DB78964, + 0x344C528C, 0x253138F5, 0x9CCAE31D, 0x07CBEC07, 0xBE3037EF, 0xAF4D5D96, 0x16B6867E, + 0x065CDAAC, 0xBFA70144, 0xAEDA6B3D, 0x1721B0D5, 0x8C20BFCF, 0x35DB6427, 0x24A60E5E, + 0x9D5DD5B6, 0xC9D5162B, 0x702ECDC3, 0x6153A7BA, 0xD8A87C52, 0x43A97348, 0xFA52A8A0, + 0xEB2FC2D9, 0x52D41931, 0x4E87F0BB, 0xF77C2B53, 0xE601412A, 0x5FFA9AC2, 0xC4FB95D8, + 0x7D004E30, 0x6C7D2449, 0xD586FFA1, 0x810E3C3C, 0x38F5E7D4, 0x29888DAD, 0x90735645, + 0x0B72595F, 0xB28982B7, 0xA3F4E8CE, 0x1A0F3326, 0x0AE56FF4, 0xB31EB41C, 0xA263DE65, + 0x1B98058D, 0x80990A97, 0x3962D17F, 0x281FBB06, 0x91E460EE, 0xC56CA373, 0x7C97789B, + 0x6DEA12E2, 0xD411C90A, 0x4F10C610, 0xF6EB1DF8, 0xE7967781, 0x5E6DAC69, 0xC642CE25, + 0x7FB915CD, 0x6EC47FB4, 0xD73FA45C, 0x4C3EAB46, 0xF5C570AE, 0xE4B81AD7, 0x5D43C13F, + 0x09CB02A2, 0xB030D94A, 0xA14DB333, 0x18B668DB, 0x83B767C1, 0x3A4CBC29, 0x2B31D650, + 0x92CA0DB8, 0x8220516A, 0x3BDB8A82, 0x2AA6E0FB, 0x935D3B13, 0x085C3409, 0xB1A7EFE1, + 0xA0DA8598, 0x19215E70, 0x4DA99DED, 0xF4524605, 0xE52F2C7C, 0x5CD4F794, 0xC7D5F88E, + 0x7E2E2366, 0x6F53491F, 0xD6A892F7, 0x847C8BC6, 0x3D87502E, 0x2CFA3A57, 0x9501E1BF, + 0x0E00EEA5, 0xB7FB354D, 0xA6865F34, 0x1F7D84DC, 0x4BF54741, 0xF20E9CA9, 0xE373F6D0, + 0x5A882D38, 0xC1892222, 0x7872F9CA, 0x690F93B3, 0xD0F4485B, 0xC01E1489, 0x79E5CF61, + 0x6898A518, 0xD1637EF0, 0x4A6271EA, 0xF399AA02, 0xE2E4C07B, 0x5B1F1B93, 0x0F97D80E, + 0xB66C03E6, 0xA711699F, 0x1EEAB277, 0x85EBBD6D, 0x3C106685, 0x2D6D0CFC, 0x9496D714, + 0x0CB9B558, 0xB5426EB0, 0xA43F04C9, 0x1DC4DF21, 0x86C5D03B, 0x3F3E0BD3, 0x2E4361AA, + 0x97B8BA42, 0xC33079DF, 0x7ACBA237, 0x6BB6C84E, 0xD24D13A6, 0x494C1CBC, 0xF0B7C754, + 0xE1CAAD2D, 0x583176C5, 0x48DB2A17, 0xF120F1FF, 0xE05D9B86, 0x59A6406E, 0xC2A74F74, + 0x7B5C949C, 0x6A21FEE5, 0xD3DA250D, 0x8752E690, 0x3EA93D78, 0x2FD45701, 0x962F8CE9, + 0x0D2E83F3, 0xB4D5581B, 0xA5A83262, 0x1C53E98A, + ], + [ + 0x00000000, 0xAE689191, 0x87A02563, 0x29C8B4F2, 0xD4314C87, 0x7A59DD16, 0x539169E4, + 0xFDF9F875, 0x73139F4F, 0xDD7B0EDE, 0xF4B3BA2C, 0x5ADB2BBD, 0xA722D3C8, 0x094A4259, + 0x2082F6AB, 0x8EEA673A, 0xE6273E9E, 0x484FAF0F, 0x61871BFD, 0xCFEF8A6C, 0x32167219, + 0x9C7EE388, 0xB5B6577A, 0x1BDEC6EB, 0x9534A1D1, 0x3B5C3040, 0x129484B2, 0xBCFC1523, + 0x4105ED56, 0xEF6D7CC7, 0xC6A5C835, 0x68CD59A4, 0x173F7B7D, 0xB957EAEC, 0x909F5E1E, + 0x3EF7CF8F, 0xC30E37FA, 0x6D66A66B, 0x44AE1299, 0xEAC68308, 0x642CE432, 0xCA4475A3, + 0xE38CC151, 0x4DE450C0, 0xB01DA8B5, 0x1E753924, 0x37BD8DD6, 0x99D51C47, 0xF11845E3, + 0x5F70D472, 0x76B86080, 0xD8D0F111, 0x25290964, 0x8B4198F5, 0xA2892C07, 0x0CE1BD96, + 0x820BDAAC, 0x2C634B3D, 0x05ABFFCF, 0xABC36E5E, 0x563A962B, 0xF85207BA, 0xD19AB348, + 0x7FF222D9, 0x2E7EF6FA, 0x8016676B, 0xA9DED399, 0x07B64208, 0xFA4FBA7D, 0x54272BEC, + 0x7DEF9F1E, 0xD3870E8F, 0x5D6D69B5, 0xF305F824, 0xDACD4CD6, 0x74A5DD47, 0x895C2532, + 0x2734B4A3, 0x0EFC0051, 0xA09491C0, 0xC859C864, 0x663159F5, 0x4FF9ED07, 0xE1917C96, + 0x1C6884E3, 0xB2001572, 0x9BC8A180, 0x35A03011, 0xBB4A572B, 0x1522C6BA, 0x3CEA7248, + 0x9282E3D9, 0x6F7B1BAC, 0xC1138A3D, 0xE8DB3ECF, 0x46B3AF5E, 0x39418D87, 0x97291C16, + 0xBEE1A8E4, 0x10893975, 0xED70C100, 0x43185091, 0x6AD0E463, 0xC4B875F2, 0x4A5212C8, + 0xE43A8359, 0xCDF237AB, 0x639AA63A, 0x9E635E4F, 0x300BCFDE, 0x19C37B2C, 0xB7ABEABD, + 0xDF66B319, 0x710E2288, 0x58C6967A, 0xF6AE07EB, 0x0B57FF9E, 0xA53F6E0F, 0x8CF7DAFD, + 0x229F4B6C, 0xAC752C56, 0x021DBDC7, 0x2BD50935, 0x85BD98A4, 0x784460D1, 0xD62CF140, + 0xFFE445B2, 0x518CD423, 0x5CFDEDF4, 0xF2957C65, 0xDB5DC897, 0x75355906, 0x88CCA173, + 0x26A430E2, 0x0F6C8410, 0xA1041581, 0x2FEE72BB, 0x8186E32A, 0xA84E57D8, 0x0626C649, + 0xFBDF3E3C, 0x55B7AFAD, 0x7C7F1B5F, 0xD2178ACE, 0xBADAD36A, 0x14B242FB, 0x3D7AF609, + 0x93126798, 0x6EEB9FED, 0xC0830E7C, 0xE94BBA8E, 0x47232B1F, 0xC9C94C25, 0x67A1DDB4, + 0x4E696946, 0xE001F8D7, 0x1DF800A2, 0xB3909133, 0x9A5825C1, 0x3430B450, 0x4BC29689, + 0xE5AA0718, 0xCC62B3EA, 0x620A227B, 0x9FF3DA0E, 0x319B4B9F, 0x1853FF6D, 0xB63B6EFC, + 0x38D109C6, 0x96B99857, 0xBF712CA5, 0x1119BD34, 0xECE04541, 0x4288D4D0, 0x6B406022, + 0xC528F1B3, 0xADE5A817, 0x038D3986, 0x2A458D74, 0x842D1CE5, 0x79D4E490, 0xD7BC7501, + 0xFE74C1F3, 0x501C5062, 0xDEF63758, 0x709EA6C9, 0x5956123B, 0xF73E83AA, 0x0AC77BDF, + 0xA4AFEA4E, 0x8D675EBC, 0x230FCF2D, 0x72831B0E, 0xDCEB8A9F, 0xF5233E6D, 0x5B4BAFFC, + 0xA6B25789, 0x08DAC618, 0x211272EA, 0x8F7AE37B, 0x01908441, 0xAFF815D0, 0x8630A122, + 0x285830B3, 0xD5A1C8C6, 0x7BC95957, 0x5201EDA5, 0xFC697C34, 0x94A42590, 0x3ACCB401, + 0x130400F3, 0xBD6C9162, 0x40956917, 0xEEFDF886, 0xC7354C74, 0x695DDDE5, 0xE7B7BADF, + 0x49DF2B4E, 0x60179FBC, 0xCE7F0E2D, 0x3386F658, 0x9DEE67C9, 0xB426D33B, 0x1A4E42AA, + 0x65BC6073, 0xCBD4F1E2, 0xE21C4510, 0x4C74D481, 0xB18D2CF4, 0x1FE5BD65, 0x362D0997, + 0x98459806, 0x16AFFF3C, 0xB8C76EAD, 0x910FDA5F, 0x3F674BCE, 0xC29EB3BB, 0x6CF6222A, + 0x453E96D8, 0xEB560749, 0x839B5EED, 0x2DF3CF7C, 0x043B7B8E, 0xAA53EA1F, 0x57AA126A, + 0xF9C283FB, 0xD00A3709, 0x7E62A698, 0xF088C1A2, 0x5EE05033, 0x7728E4C1, 0xD9407550, + 0x24B98D25, 0x8AD11CB4, 0xA319A846, 0x0D7139D7, + ], +]; |