g2gen-1.1.0/.cargo_vcs_info.json0000644000000001430000000000100120330ustar { "git": { "sha1": "c3a3a1578db31be1774f63f9f628e1fa2b8957a7" }, "path_in_vcs": "g2gen" }g2gen-1.1.0/.gitignore000064400000000000000000000000321046102023000126100ustar 00000000000000/target **/*.rs.bk .idea/ g2gen-1.1.0/Cargo.toml0000644000000022620000000000100100350ustar # 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] edition = "2018" rust-version = "1.61" name = "g2gen" version = "1.1.0" authors = ["WanzenBug "] description = """ A macro to create types that implement fast finite field arithmetic. """ documentation = "https://docs.rs/g2p" readme = "README.md" keywords = [ "finite-field", "galois", "macro", "newtype", ] categories = [ "no-std", "algorithms", ] license = "MIT/Apache-2.0" repository = "https://github.com/WanzenBug/g2p" [lib] proc-macro = true [dependencies.g2poly] version = "1.1" [dependencies.proc-macro2] version = "1.0" [dependencies.quote] version = "1.0" [dependencies.syn] version = "2.0" features = [ "parsing", "proc-macro", ] default-features = false g2gen-1.1.0/Cargo.toml.orig000064400000000000000000000012351046102023000135150ustar 00000000000000[package] name = "g2gen" version = "1.1.0" authors = ["WanzenBug "] edition = "2018" readme = "./README.md" license = "MIT/Apache-2.0" repository = "https://github.com/WanzenBug/g2p" rust-version = "1.61" documentation = "https://docs.rs/g2p" description = """ A macro to create types that implement fast finite field arithmetic. """ categories = [ "no-std", "algorithms" ] keywords = [ "finite-field", "galois", "macro", "newtype"] [lib] proc-macro = true [dependencies] syn = { version = "2.0", features = ["parsing", "proc-macro"], default-features = false } quote = "1.0" proc-macro2 = "1.0" g2poly = { path = "../g2poly", version = "1.1" } g2gen-1.1.0/LICENSE-APACHE000064400000000000000000000252351046102023000125600ustar 00000000000000Apache 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. 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Copyright 2018 Moritz 'WanzenBug' Wanzenböck 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. g2gen-1.1.0/LICENSE-MIT000064400000000000000000000021111046102023000122540ustar 00000000000000The MIT License (MIT) Copyright (c) 2018 Moritz 'WanzenBug' Wanzenböck 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. g2gen-1.1.0/README.md000064400000000000000000000003031046102023000121000ustar 00000000000000# g2gen See [g2p](https://docs.rs/g2p) ## License Licensed under the Apache License, Version 2.0 [LICENSE-APACHE](LICENSE-APACHE) or the MIT license [LICENSE-MIT](LICENSE-MIT)>, at your option. g2gen-1.1.0/src/lib.rs000064400000000000000000000372411046102023000125370ustar 00000000000000// Licensed under the Apache License, Version 2.0 or the MIT license // , at your // option. This file may not be copied, modified, or distributed // except according to those terms. //! Procedural macro to generate finite field types //! //! This is just the procedural macro, for more information look at [g2p](https://docs.rs/g2p). #![recursion_limit = "128"] extern crate proc_macro; use proc_macro::TokenStream as P1TokenStream; use proc_macro2::{TokenStream as P2TokenStream, Ident, Span}; use g2poly::{G2Poly, extended_gcd}; use quote::quote; use syn::{ parse::{ Parse, ParseStream, }, parse_macro_input, Token, }; /// Generate a newtype of the given name and implement finite field arithmetic on it. /// /// The generated type have implementations for [`Add`](::core::ops::Add), /// [`Sub`](::core::ops::Sub), [`Mul`](::core::ops::Mul) and [`Div`](::core::ops::Div). /// /// There are also implementations for equality, copy and debug. Conversion from and to the base /// type are implemented via the From trait. /// Depending on the size of `p` the underlying type is u8, u16 or u32. /// /// # Example /// ```ignore /// g2gen::g2p!( /// GF256, // Name of the newtype /// 8, // The power of 2 specifying the field size 2^8 = 256 in this /// // case. /// modulus: 0b1_0001_1101, // The reduction polynomial to use, each bit is a coefficient. /// // Can be left out in case it is not needed. /// ); /// /// # fn main() { /// let a: GF256 = 255.into(); // Conversion from the base type /// assert_eq!(a - a, a + a); // Finite field arithmetic. /// assert_eq!(format!("{}", a), "255_GF256"); /// # } /// ``` #[proc_macro] pub fn g2p(input: P1TokenStream) -> P1TokenStream { let args = parse_macro_input!(input as ParsedInput); let settings = Settings::from_input(args).unwrap(); let ident = settings.ident; let ident_name = settings.ident_name; let modulus = settings.modulus; let generator = settings.generator; let p = settings.p_val; let field_size = 1_usize << p; let mask = (1_u64 << p).wrapping_sub(1); let ty = match p { 0 => panic!("p must be > 0"), 1..=8 => quote!(u8), 9..=16 => quote!(u16), 17..=32 => quote!(u32), _ => unimplemented!("p > 32 is not implemented right now"), }; let mod_name = Ident::new(&format!("{}_mod", ident_name), Span::call_site()); let struct_def = quote![ pub struct #ident(pub #ty); ]; let struct_impl = quote![ impl #ident { pub const MASK: #ty = #mask as #ty; } ]; let from = quote![ impl ::core::convert::From<#ident> for #ty { fn from(v: #ident) -> #ty { v.0 } } ]; let into = quote![ impl ::core::convert::From<#ty> for #ident { fn from(v: #ty) -> #ident { #ident(v & #ident::MASK) } } ]; let eq = quote![ impl ::core::cmp::PartialEq<#ident> for #ident { fn eq(&self, other: &#ident) -> bool { self.0 == other.0 } } impl ::core::cmp::Eq for #ident {} ]; let tmpl = format!("{{}}_{}", ident_name); let debug = quote![ impl ::core::fmt::Debug for #ident { fn fmt<'a>(&self, f: &mut ::core::fmt::Formatter<'a>) -> ::core::fmt::Result { write!(f, #tmpl, self.0) } } ]; let display = quote![ impl ::core::fmt::Display for #ident { fn fmt<'a>(&self, f: &mut ::core::fmt::Formatter<'a>) -> ::core::fmt::Result { write!(f, #tmpl, self.0) } } ]; let clone = quote![ impl ::core::clone::Clone for #ident { fn clone(&self) -> Self { *self } } ]; let copy = quote![ impl ::core::marker::Copy for #ident {} ]; let add = quote![ impl ::core::ops::Add for #ident { type Output = #ident; #[allow(clippy::suspicious_arithmetic_impl)] fn add(self, rhs: #ident) -> #ident { #ident(self.0 ^ rhs.0) } } impl ::core::ops::AddAssign for #ident { fn add_assign(&mut self, rhs: #ident) { *self = *self + rhs; } } ]; let sub = quote![ impl ::core::ops::Sub for #ident { type Output = #ident; #[allow(clippy::suspicious_arithmetic_impl)] fn sub(self, rhs: #ident) -> #ident { #ident(self.0 ^ rhs.0) } } impl ::core::ops::SubAssign for #ident { fn sub_assign(&mut self, rhs: #ident) { *self = *self - rhs; } } ]; let gen = generator.0; let modulus_val = modulus.0; let galois_trait_impl = quote![ impl ::g2p::GaloisField for #ident { const SIZE: usize = #field_size; const MODULUS: ::g2p::G2Poly = ::g2p::G2Poly(#modulus_val); const ZERO: #ident = #ident(0); const ONE: #ident = #ident(1); const GENERATOR: #ident = #ident(#gen as #ty); } ]; let (tables, mul, div) = generate_mul_impl( ident.clone(), &ident_name, modulus, ty, field_size, mask, ); P1TokenStream::from(quote![ #struct_def mod #mod_name { use super::#ident; #struct_impl #tables #from #into #eq #debug #display #clone #copy #add #sub #mul #div #galois_trait_impl } ]) } struct ParsedInput { ident: syn::Ident, p: syn::LitInt, modulus: Option, } impl Parse for ParsedInput { fn parse(input: ParseStream) -> syn::Result { let ident = input.parse()?; let _sep: Token![,] = input.parse()?; let p = input.parse()?; let mut modulus = None; loop { let sep: Option = input.parse()?; if sep.is_none() || input.is_empty() { break; } let ident: syn::Ident = input.parse()?; let ident_name = ident.to_string(); let _sep: Token![:] = input.parse()?; match ident_name.as_str() { "modulus" => { if modulus.is_some() { Err(syn::parse::Error::new(ident.span(), "Double declaration of 'modulus'"))? } modulus = Some(input.parse()?); } _ => { Err(syn::parse::Error::new(ident.span(), "Expected 'modulus'"))? } } } Ok(ParsedInput { ident, p, modulus, }) } } #[derive(Debug, Clone, Eq, PartialEq)] struct Settings { ident: syn::Ident, ident_name: String, p_val: u64, modulus: G2Poly, generator: G2Poly, } fn find_modulus_poly(p: u64) -> G2Poly { assert!(p < 64); let start = (1 << p) + 1; let end = (1_u64 << (p + 1)).wrapping_sub(1); for m in start..=end { let p = G2Poly(m); if p.is_irreducible() { return p; } } unreachable!("There are irreducible polynomial for any degree!") } fn find_generator(m: G2Poly) -> G2Poly { let max = m.degree().expect("Modulus must have positive degree"); for g in 1..(2 << max) { let g = G2Poly(g); if g.is_generator(m) { return g; } } unreachable!("There must be a generator element") } /// Calculate the log base 256, rounded up /// /// Given a number n, calculate the log base 256, rounded up. This can be though of as the number /// of bytes needed to represent this number. fn ceil_log256(mut n: usize) -> usize { if n == 0 { return 0; } let mut c = 1; while n > 256 { c += 1; // NB: This is the rounding up part. If n is a proper power of 256, adding 255 will not // change the result. In the other cases, this ensures that we round up in the division. n = (n + 255) >> 8; } c } /// Generate multiplication array /// /// Generate a string representing a 5d multiplication array. This array uses the associativity /// of multiplication `(a + b) * (c + d) == a*c + a*d + b*c + b*d` to reduce table size. /// /// The input is split into bit chunks e.g. for a GF_1024 number we take the lower 8 bit and the /// remaining 2 and calculate the multiplications for each separately. Then we can cheaply add them /// together to get the the result with requiring a full 1024 * 1024 input. fn generate_mul_table_string(modulus: G2Poly) -> String { assert!(modulus.is_irreducible()); let field_size = 1 << modulus.degree().expect("Irreducible polynomial has positive degree"); let nparts = ceil_log256(field_size as usize); let mut mul_table = Vec::with_capacity(nparts); for left in 0..nparts { let mut left_parts = Vec::with_capacity(nparts); for right in 0..nparts { let mut right_parts = Vec::with_capacity(256); for i in 0..256 { let i = i << (8 * left); let mut row = Vec::with_capacity(256); for j in 0..256 { let j = j << (8 * right); let v = if i < field_size && j < field_size { G2Poly(i as u64) * G2Poly(j as u64) % modulus } else { G2Poly(0) }; row.push(format!("{}", v.0)); } right_parts.push(format!("[{}]", row.join(","))); } left_parts.push(format!("[{}]", right_parts.join(","))); } mul_table.push(format!("[{}]", left_parts.join(","))); } format!("[{}]", mul_table.join(",")) } fn generate_inv_table_string(modulus: G2Poly) -> String { assert!(modulus.is_irreducible()); let field_size = 1 << modulus.degree().expect("Irreducible polynomial has positive degree"); let mut inv_table = vec![0; field_size as usize]; // Inverse table is small enough to compute directly for i in 1..field_size { if inv_table[i as usize] != 0 { // Already computed inverse continue; } let a = G2Poly(i); // Returns (gcd, x, y) such that gcd(a, m) == a * x + y * m // Since we know that gcd(a, m) == 1 and that we operate modulo m, y * m === 0 mod m // So we have 1 === a * x mod m let (_gcd, x, _y) = extended_gcd(a, modulus); inv_table[i as usize] = x.0; inv_table[x.0 as usize] = i; } use std::fmt::Write; let mut res = String::with_capacity(3 * field_size as usize); write!(&mut res, "[").unwrap(); for v in inv_table { write!(&mut res, "{},", v).unwrap(); } write!(&mut res, "]").unwrap(); res } fn generate_mul_impl(ident: syn::Ident, ident_name: &str, modulus: G2Poly, ty: P2TokenStream, field_size: usize, mask: u64) -> (P2TokenStream, P2TokenStream, P2TokenStream) { let mul_table = generate_mul_table_string(modulus); let inv_table = generate_inv_table_string(modulus); // Faster generation than using quote let mul_table_string: proc_macro2::TokenStream = mul_table.parse().unwrap(); let inv_table_string: proc_macro2::TokenStream = inv_table.parse().unwrap(); let nparts = ceil_log256(field_size); // NB: We generate static arrays, as they are guaranteed to have a fixed location in memory. // Using const would mean the compiler is free to create copies on the stack etc. Since // The arrays are quite large, this could lead to stack overflows. let tables = quote! { pub static MUL_TABLE: [[[[#ty; 256]; 256]; #nparts]; #nparts] = #mul_table_string; pub static INV_TABLE: [#ty; #field_size] = #inv_table_string; }; let mut mul_ops = Vec::with_capacity(nparts * nparts); for left in 0..nparts { for right in 0..nparts { mul_ops.push(quote![ #ident(MUL_TABLE[#left][#right][(((self.0 & #mask as #ty) >> (8*#left)) & 255) as usize][(((rhs.0 & #mask as #ty) >> (8*#right)) & 255) as usize]) ]); } } let mul = quote![ impl ::core::ops::Mul for #ident { type Output = #ident; fn mul(self, rhs: #ident) -> #ident { #(#mul_ops)+* } } impl ::core::ops::MulAssign for #ident { fn mul_assign(&mut self, rhs: #ident) { *self = *self * rhs; } } ]; let err_msg = format!("Division by 0 in {}", ident_name); let div = quote![ impl ::core::ops::Div for #ident { type Output = #ident; fn div(self, rhs: #ident) -> #ident { if (rhs.0 & #mask as #ty) == 0 { panic!(#err_msg); } self * #ident(INV_TABLE[(rhs.0 & #mask as #ty) as usize]) } } impl ::core::ops::DivAssign for #ident { fn div_assign(&mut self, rhs: #ident) { *self = *self / rhs; } } ]; (tables, mul, div) } impl Settings { pub fn from_input(input: ParsedInput) -> syn::Result { let ident = input.ident; let ident_name = ident.to_string(); let p_val = input.p.base10_parse()?; let modulus = match input.modulus { Some(lit) => G2Poly(lit.base10_parse()?), None => find_modulus_poly(p_val), }; if !modulus.is_irreducible() { Err(syn::Error::new(Span::call_site(), format!("Modulus {} is not irreducible", modulus)))?; } let generator = find_generator(modulus); if !generator.is_generator(modulus) { Err(syn::Error::new(Span::call_site(), format!("{} is not a generator", generator)))?; } Ok(Settings { ident, ident_name, p_val, modulus, generator, }) } } #[cfg(test)] mod tests { use super::*; #[test] fn test_settings_parser() { let span = Span::call_site(); let input = ParsedInput { ident: Ident::new("foo", span), p: syn::LitInt::new("3", span), modulus: None, }; let r = Settings::from_input(input); assert!(r.is_ok()); assert_eq!(r.unwrap(), Settings { ident: syn::Ident::new("foo", span), ident_name: "foo".to_string(), p_val: 3, modulus: G2Poly(0b1011), generator: G2Poly(0b10), }); } #[test] fn test_generate_mul_table() { let m = G2Poly(0b111); assert_eq!(include_str!("../tests/mul_table.txt").trim(), generate_mul_table_string(m)); } #[test] fn test_generate_inv_table_string() { let m = G2Poly(0b1_0001_1011); assert_eq!(include_str!("../tests/inv_table.txt").trim(), generate_inv_table_string(m)); } #[test] fn test_ceil_log256() { assert_eq!(0, ceil_log256(0)); assert_eq!(1, ceil_log256(1)); assert_eq!(1, ceil_log256(256)); assert_eq!(2, ceil_log256(257)); assert_eq!(2, ceil_log256(65536)); assert_eq!(3, ceil_log256(65537)); assert_eq!(3, ceil_log256(131072)); assert_eq!(3, ceil_log256(16777216)); assert_eq!(4, ceil_log256(16777217)); } } g2gen-1.1.0/tests/inv_table.txt000064400000000000000000000016251046102023000144770ustar 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g2gen-1.1.0/tests/mul_table.txt000064400000000000000000004010061046102023000144750ustar 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