start of cursed gallois with non prime base

Cargo.toml

@@ -1,7 +1,7 @@
 [package]
 name = "plexcryptool"
 authors = ["Christoph J. Scherr <software@cscherr.de>"]
-version = "0.2.7"
+version = "0.2.8"
 edition = "2021"
 readme = "README.md"
 description = "Various tools for use with math and cryptology, includes executable and a library."

src/cplex/cli.rs

@@ -87,10 +87,10 @@ pub struct ModexpArgs {
 
 #[derive(Args, Clone, Debug, PartialEq, Eq)]
 pub struct ModredArgs {
-    #[clap(value_parser=maybe_hex::<u64>)]
+    #[clap(value_parser=maybe_hex::<u128>)]
-    pub polynomial: u64,
+    pub polynomial: u128,
-    #[clap(value_parser=maybe_hex::<u64>)]
+    #[clap(value_parser=maybe_hex::<u128>)]
-    pub relation: u64,
+    pub relation: u128,
 }
 
 #[derive(Args, Clone, Debug, PartialEq, Eq)]
@@ -105,6 +105,8 @@ pub struct PM1Args {
 pub struct GalloisAction {
     #[clap(value_parser=maybe_hex::<u128>)]
     pub field: u128,
+    #[clap(value_parser=maybe_hex::<u128>)]
+    pub relation: Option<u128>,
     #[command(subcommand)]
     pub action: GalloisActions
 }

src/main.rs

@@ -61,7 +61,7 @@ pub fn main() {
                     cplex::printing::proc_result_vec(vec, args);
                 }
                 MathActions::Gallois(gal_args) => {
-                    let field = math::gallois::GalloisField::new(gal_args.field, args.verbose);
+                    let field = math::gallois::GalloisField::new(gal_args.field, args.verbose, gal_args.relation);
                     match gal_args.action {
                         GalloisActions::Sqrt(gal_sqrt_args) => {
                             let result = field.sqrt(gal_sqrt_args.a);

src/math/gallois.rs

@@ -15,7 +15,7 @@
 /// License:    MIT
 /// Source:     <https://git.cscherr.de/PlexSheep/plexcryptool/>
 
-use crate::{math::modexp, cplex::printing::seperator};
+use crate::{math::modexp, cplex::printing::seperator, math::modred::modred};
 
 use core::fmt;
 
@@ -63,23 +63,25 @@ pub struct GalloisField {
     base: u128,
     cha: u128,
     verbose: bool,
-    prime_base: bool
+    prime_base: bool,
+    relation: Option<u128>
 }
 
 /// implementations for the gallois field
 impl GalloisField {
     /// make a new gallois field
-    pub fn new(base: u128, verbose: bool) -> Self {
+    pub fn new(base: u128, verbose: bool, relation: Option<u128>) -> Self {
         let prime_base: bool = is_prime(base as u64);
         if !prime_base {
-            println!("Non prime bases for a field are currently not supported. {} is not a prime.", base);
+            println!("Non prime bases for a field are currently very experimental.\n
-            panic!("Non prime bases for a field are currently not supported.");
+                     Use them at your own risk! ({} is not a prime.)", base);
         }
         let mut field = GalloisField{
             base,
             cha: base,
             verbose,
-            prime_base
+            prime_base,
+            relation
         };
         if field.prime_base {
             field.cha = base;
@@ -109,13 +111,21 @@ impl GalloisField {
         T: num::cast::AsPrimitive<i128>
     {
         let mut n: i128 = num::cast::AsPrimitive::as_(n);
-        if n < 0 {
+        if self.prime_base {
-            while n < 0 {
+            if n < 0 {
-                n += self.base as i128;
+                while n < 0 {
+                    n += self.base as i128;
+                }
             }
+            n %= self.base as i128;
+            return n as u128;
+        }
+        else {
+            if n < 0 {
+                panic!("reduction for negative numbers not implemented.");
+            }
+            modred(n as u128, self.relation.unwrap(), self.verbose).expect("modular reduction didn't work")
         }
-        n %= self.base as i128;
-        return n as u128;
     }
 
     /// calculate the exponent of a base in the field
@@ -352,8 +362,8 @@ impl GalloisField {
 /// python wrappers for the gallois field
 impl GalloisField {
     #[new]
-    pub fn py_new(base: u128, verbose: bool) -> Self {
+    pub fn py_new(base: u128, verbose: bool, relation: Option<u128>) -> Self {
-        return GalloisField::new(base, verbose);
+        return GalloisField::new(base, verbose, relation);
     }
 
     #[pyo3(name="pow")]
@@ -405,7 +415,7 @@ impl GalloisField {
 ///////////////////////////////////////////////////////////////////////////////////////////////////
 #[test]
 fn test_gallois_sqrt() {
-    let field = GalloisField::new(977, true);
+    let field = GalloisField::new(977, true, None);
     assert_eq!(field.sqrt(269).expect("function says there is no root but there is"), (313, 664));
     assert_eq!(field.sqrt(524).expect("function says there is no root but there is"), (115, 862));
     assert_eq!(field.sqrt(275).expect("function says there is no root but there is"), (585, 392));
@@ -413,17 +423,17 @@ fn test_gallois_sqrt() {
 
 #[test]
 fn test_gallois_inverse() {
-    let field = GalloisField::new(31, true);
+    let field = GalloisField::new(31, true, None);
     assert_eq!(field.inverse(12).unwrap(), 13);
     assert_eq!(field.inverse(28).unwrap(), 10);
     assert!(field.inverse(0).is_err());
 
-    let field = GalloisField::new(83, true);
+    let field = GalloisField::new(83, true, None);
     assert_eq!(field.inverse(6).unwrap(), 14);
     assert_eq!(field.inverse(54).unwrap(), 20);
     assert!(field.inverse(0).is_err());
 
-    let field = GalloisField::new(23, true);
+    let field = GalloisField::new(23, true, None);
     assert_eq!(field.inverse(17).unwrap(), 19);
     assert_eq!(field.inverse(7).unwrap(), 10);
     assert!(field.inverse(0).is_err());
@@ -436,9 +446,9 @@ fn test_gallois_inverse() {
 
 #[test]
 fn test_calc_char() {
-    assert_eq!(GalloisField::new(83, true).calc_char(), 83);
+    assert_eq!(GalloisField::new(83, true, None).calc_char(), 83);
-    assert_eq!(GalloisField::new(1151, true).calc_char(), 1151);
+    assert_eq!(GalloisField::new(1151, true, None).calc_char(), 1151);
-    assert_eq!(GalloisField::new(2, true).calc_char(), 2);
+    assert_eq!(GalloisField::new(2, true, None).calc_char(), 2);
 
     // only primes are supported right now. TODO
     //assert_eq!(GalloisField::new(8, true).calc_char(), 2);

src/math/modred.rs

@@ -16,8 +16,8 @@ use pyo3::{prelude::*, exceptions::PyException};
 
 #[test]
 fn test_modred() {
-    let rel: u64 = 0x1053;
+    let rel: u128 = 0x1053;
-    let pol0: u64 = 0x100001;
+    let pol0: u128 = 0x100001;
     assert_eq!(modred(pol0, rel, false).unwrap(), 0x21e);
     // test vectors by our professor
     // IDK why some of these don't work, but I am pretty sure that my algorithm and implementation
@@ -37,7 +37,7 @@ fn test_modred() {
 /// modular reduction of a polynomial with a given relation
 ///
 /// (the function uses the integer representations)
-pub fn modred(mut poly: u64, relation: u64, verbose: bool) -> Result<u64, String> {
+pub fn modred(mut poly: u128, relation: u128, verbose: bool) -> Result<u128, String> {
 
     let mut diffrence: u32;
     let mut index: usize = 0;
@@ -66,7 +66,7 @@ pub fn modred(mut poly: u64, relation: u64, verbose: bool) -> Result<u64, String
 #[pyfunction]
 #[pyo3(name="mordred")]
 /// python wrapper for modred
-pub fn py_modred(poly: u64, relation: u64, verbose: bool) -> PyResult<u64> {
+pub fn py_modred(poly: u128, relation: u128, verbose: bool) -> PyResult<u128> {
     let res = modred(poly, relation, verbose);
     match res {
         Ok(n) => {