checkpoint ecc works
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dbbd466a56
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0c8ee362b4
110
src/math/ecc.rs
110
src/math/ecc.rs
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@ -30,7 +30,21 @@ pub struct ElipticCurve {
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}
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impl ElipticCurve {
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pub fn new(f: GalloisField, a: i128, b: i128, verbose: bool) -> Self {
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pub fn new(f: GalloisField, a: i128, b: i128, verbose: bool) -> Result<Self, String> {
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// check diskriminante
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let d = 4*a.pow(3) + 27*b.pow(2);
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if f.reduce(d) == 0 {
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if verbose {
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println!("4*{a}³ + 27*{b}² = {d} = {} != 0\n\
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Check for Diskriminante not passed", f.reduce(d));
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}
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return Err(String::from("Diskriminante not 0"));
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}
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else if verbose {
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println!("4*{a}³ + 27*{b}² = {d} = {} != 0\n
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Check for Diskriminante passed", f.reduce(d));
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}
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let mut e = ElipticCurve {
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f,
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a,
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@ -41,67 +55,91 @@ impl ElipticCurve {
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};
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let infty = ElipticCurvePoint::new(0, 0, e.f);
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e.INFINITY_POINT = Some(infty);
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return e;
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return Ok(e);
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}
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/// calculate a value for coordinates
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pub fn poly<T>(&self, r: T, s: T) -> i128
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where
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T: Integer,
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T: Mul,
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T: Debug,
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T: num::cast::AsPrimitive<i128>,
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T: Neg
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{
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dbg!(&r);
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dbg!(&s);
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let r: i128 = num::cast::AsPrimitive::as_(r);
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let s: i128 = num::cast::AsPrimitive::as_(s);
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let res = s.pow(2) - r.pow(3) - (self.a * r) - self.b;
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let res1 = self.f.reduce(res);
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if self.verbose {
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println!("F({}, {}) = {}² - {}³ - {} * {} - {} = {res} = {res1}",
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where
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T: Integer,
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T: Mul,
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T: Debug,
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T: num::cast::AsPrimitive<i128>,
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T: Neg
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{
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dbg!(&r);
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dbg!(&s);
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let r: i128 = num::cast::AsPrimitive::as_(r);
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let s: i128 = num::cast::AsPrimitive::as_(s);
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let res = s.pow(2) - r.pow(3) - (self.a * r) - self.b;
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let res1 = self.f.reduce(res);
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if self.verbose {
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println!("F({}, {}) = {}² - {}³ - {} * {} - {} = {res} = {res1}",
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r, s, s, r, self.a, r, self.b
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);
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);
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}
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return res1 as i128;
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}
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return res1 as i128;
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}
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pub fn check_point(self, p: ElipticCurvePoint) -> bool {
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let mut valid = true;
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let res = self.f.reduce(self.poly(p.r, p.s));
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// insert into poly
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let left = self.f.reduce(p.s.pow(2));
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let right = self.f.reduce(p.r.pow(3) + self.a*p.r + self.b);
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if self.verbose {
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println!("F({}, {}) = {}² - {}³ - {} * {} - {} = {res}",
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p.r, p.s, p.s, p.r, self.a, p.r, self.b
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)
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let unred_left = p.s.pow(2);
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let unred_right = p.r.pow(3) + self.a*p.r + self.b;
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println!("All Points need to fullfill this equation:\n\
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y²\t= x³ + ax + b\n\
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{}²\t= {}³ + {}*{} +{}\n\
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{unred_left}\t= {unred_right}\n\
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{left}\t= {right}\n\
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<=> {}\n",
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p.s,
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p.r,
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self.a,
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p.r,
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self.b,
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left == right
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);
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}
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valid &= res == 0;
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valid &= left == right;
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return valid;
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}
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}
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#[test]
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fn test_check_point() {
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let f = GalloisField::new(1151, true, None);
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let ec = ElipticCurve::new(f, 1, 679, true);
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let f = GalloisField::new(13, true, None);
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let ec = ElipticCurve::new(f, -3, 3, true).expect("ec cant be created");
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// real points
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let p = vec![
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ElipticCurvePoint::new(298, 531, f),
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ElipticCurvePoint::new(600, 127, f),
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ElipticCurvePoint::new(846, 176, f),
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ElipticCurvePoint::new(0, 4, f),
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ElipticCurvePoint::new(0, 9, f),
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ElipticCurvePoint::new(1, 1, f),
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ElipticCurvePoint::new(1, 12, f),
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ElipticCurvePoint::new(4, 4, f),
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ElipticCurvePoint::new(4, 9, f),
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ElipticCurvePoint::new(5, 3, f),
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ElipticCurvePoint::new(5, 10, f),
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ElipticCurvePoint::new(7, 0, f),
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ElipticCurvePoint::new(8, 6, f),
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ElipticCurvePoint::new(9, 4, f),
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ElipticCurvePoint::new(9, 9, f),
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ElipticCurvePoint::new(11, 1, f),
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ElipticCurvePoint::new(11, 12, f),
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];
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// random values, not part of the e, fc.
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let np = vec![
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ElipticCurvePoint::new(198, 331, f),
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ElipticCurvePoint::new(100, 927, f),
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ElipticCurvePoint::new(446, 876, f),
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ElipticCurvePoint::new(0, 5, f),
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ElipticCurvePoint::new(1, 9, f),
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ElipticCurvePoint::new(1, 4, f),
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];
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for i in p {
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dbg!(&i);
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assert!(ec.clone().check_point(i));
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}
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for i in np {
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dbg!(&i);
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assert!(!ec.clone().check_point(i));
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}
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}
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@ -125,7 +163,7 @@ impl ElipticCurvePoint {
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field
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}
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}
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/// add two points
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pub fn add(self, point: Self) -> Result<Self, String> {
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if self.field.cha != point.field.cha {
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