diff --git a/src/cryptonum/signed.rs b/src/cryptonum/signed.rs index 6cbdc0e..2a61c4f 100644 --- a/src/cryptonum/signed.rs +++ b/src/cryptonum/signed.rs @@ -1,4 +1,4 @@ -use cryptonum::unsigned::{UCN,divmod}; +use cryptonum::unsigned::{BarrettUCN,UCN,divmod}; use num::BigInt; use num::bigint::Sign; use std::fmt; @@ -67,14 +67,27 @@ impl SCN { (old_r, old_s, old_t) } - pub fn divmod(&self, x: &SCN, m: &UCN) -> SCN { - let sm = SCN::from(m.clone()); - let xmod = x % &sm; + pub fn reduce(&self, m: &BarrettUCN) -> SCN { + println!("signed reduce"); + SCN{ negative: false, value: self.value.reduce(m) } + } + + pub fn divmod(&self, x: &SCN, m: &BarrettUCN) -> SCN { + println!("STEP1"); + let xmod = x.reduce(m); + println!("STEP2"); assert!(!xmod.negative); - let i = xmod.value.modinv(&m); + println!("STEP3"); + let i = xmod.value.modinv(&m.m); + println!("STEP4"); let si = SCN::from(i); + println!("STEP5"); let yi = self * si; - yi % sm + println!("STEP6: {:X}", yi); + println!(" mod {:X}", m.m); + let res = yi.reduce(m); + println!("STEP7"); + res } } diff --git a/src/cryptonum/unsigned.rs b/src/cryptonum/unsigned.rs index 6f70a08..15880cc 100644 --- a/src/cryptonum/unsigned.rs +++ b/src/cryptonum/unsigned.rs @@ -132,34 +132,54 @@ impl UCN { pub fn barrett_u(&self) -> BarrettUCN { let k = self.contents.len(); + self.barrett_uk(k) + } + + pub fn barrett_uk(&self, k: usize) -> BarrettUCN { let b = UCN::from(1 as u8) << (64 * 2 * k); let u = b / self; BarrettUCN{ u: u, k: k, m: self.clone() } } pub fn reduce(&self, u: &BarrettUCN) -> UCN { + println!("unsigned reduce"); + println!(" self: {:X} ({})", self, self.contents.len()); + println!(" m: {:X} ({})", u.m, u.m.contents.len()); // 1. q1←⌊x/bk−1⌋, q2←q1 · μ, q3←⌊q2/bk+1⌋. let q1 = self >> (64 * (u.k - 1)); + println!("reduce1"); let q2 = q1 * &u.u; + println!("reduce2"); let q3 = q2 >> (64 * (u.k + 1)); + println!("reduce3"); // 2. r1←x mod bk+1, r2←q3 · m mod bk+1, r←r1 − r2. // 3. If r<0 then r←r+bk+1. let mut r1 = self.clone(); r1.contents.resize(u.k + 1, 0); + println!("reduce4"); let mut r2 = q3 * &u.m; r2.contents.resize(u.k + 1, 0); + println!("reduce5"); + println!(" r1: {:X}", r1); + println!(" r2: {:X}", r2); let mut r = if r1 >= r2 { + println!("reduce5a"); r1 - r2 } else { + println!("reduce5b"); let mut bk1cont = Vec::with_capacity(u.k + 1); bk1cont.resize(u.k, 0); bk1cont.push(1); (r1 + UCN{ contents: bk1cont }) - r2 }; + println!("reduce6"); + println!(" r = {:X}", r); + println!(" m = {:X}", u.m); // 4. Whiler≥mdo:r←r−m. while &r >= &u.m { r -= &u.m; } + println!("reduce7"); // 5. Return(r). r } @@ -881,6 +901,7 @@ pub fn divmod(quotient: &mut Vec, remainder: &mut Vec, let qit1 = UCN{ contents: vec![q[i - t - 1]] }; let ybit1 = &y << (64 * (i - t - 1)); let subbit = &qit1 * &ybit1; + let orig_x_len = x.contents.len(); if subbit <= x { x -= subbit; } else { @@ -889,6 +910,9 @@ pub fn divmod(quotient: &mut Vec, remainder: &mut Vec, x -= subbit - ybit1; q[i - t - 1] -= 1; } + while x.contents.len() < orig_x_len { + x.contents.insert(0, 0); + } i -= 1; } // 4. r <- x @@ -898,6 +922,7 @@ pub fn divmod(quotient: &mut Vec, remainder: &mut Vec, // everything earlier; this removes it. x.contents.remove(0); } + x.clean(); remainder.append(&mut x.contents); // 5. return (q,r) while (q.len() > 0) && (q[q.len() - 1] == 0) { diff --git a/src/ecdsa/curves.rs b/src/ecdsa/curves.rs index 0889fce..8e2be87 100644 --- a/src/ecdsa/curves.rs +++ b/src/ecdsa/curves.rs @@ -1,290 +1,443 @@ -use cryptonum::{SCN,UCN}; +use cryptonum::{BarrettUCN,SCN,UCN}; +use ecdsa::point::ECPoint; +use std::fmt; -#[allow(non_snake_case)] -#[derive(Clone,Debug,PartialEq)] pub struct EllipticCurve { - pub p: UCN, - pub n: UCN, - pub SEED: UCN, - pub c: UCN, - pub a: UCN, - pub b: UCN, - pub Gx: SCN, - pub Gy: SCN + pub name: &'static str, + pub p: [u8; 66], + pub n: [u8; 66], + pub seed: [u8; 66], + pub c: [u8; 66], + pub a: [u8; 66], + pub b: [u8; 66], + pub gx: [u8; 66], + pub gy: [u8; 66] +} + +impl fmt::Debug for EllipticCurve { + fn fmt (&self, f: &mut fmt::Formatter) -> fmt::Result { + write!(f, "{}", self.name) + } +} + +impl PartialEq for EllipticCurve { + fn eq(&self, other: &EllipticCurve) -> bool { + self.name == other.name + } } impl EllipticCurve { - /// Create a new elliptic curve structure that represents NIST's - /// p192 curve. - pub fn p192() -> EllipticCurve { - EllipticCurve { - p: UCN::from_bytes(&vec![ - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff]), - n: UCN::from_bytes(&vec![ - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0x99, 0xde, 0xf8, 0x36, - 0x14, 0x6b, 0xc9, 0xb1, 0xb4, 0xd2, 0x28, 0x31]), - SEED: UCN::from_bytes(&vec![ - 0x30, 0x45, 0xae, 0x6f, 0xc8, 0x42, 0x2f, 0x64, - 0xed, 0x57, 0x95, 0x28, 0xd3, 0x81, 0x20, 0xea, - 0xe1, 0x21, 0x96, 0xd5]), - c: UCN::from_bytes(&vec![ - 0x30, 0x99, 0xd2, 0xbb, 0xbf, 0xcb, 0x25, 0x38, - 0x54, 0x2d, 0xcd, 0x5f, 0xb0, 0x78, 0xb6, 0xef, - 0x5f, 0x3d, 0x6f, 0xe2, 0xc7, 0x45, 0xde, 0x65]), - a: UCN::from_bytes(&vec![ - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfc]), - b: UCN::from_bytes(&vec![ - 0x64, 0x21, 0x05, 0x19, 0xe5, 0x9c, 0x80, 0xe7, - 0x0f, 0xa7, 0xe9, 0xab, 0x72, 0x24, 0x30, 0x49, - 0xfe, 0xb8, 0xde, 0xec, 0xc1, 0x46, 0xb9, 0xb1]), - Gx: SCN::from(UCN::from_bytes(&vec![ - 0x18, 0x8d, 0xa8, 0x0e, 0xb0, 0x30, 0x90, 0xf6, - 0x7c, 0xbf, 0x20, 0xeb, 0x43, 0xa1, 0x88, 0x00, - 0xf4, 0xff, 0x0a, 0xfd, 0x82, 0xff, 0x10, 0x12])), - Gy: SCN::from(UCN::from_bytes(&vec![ - 0x07, 0x19, 0x2b, 0x95, 0xff, 0xc8, 0xda, 0x78, - 0x63, 0x10, 0x11, 0xed, 0x6b, 0x24, 0xcd, 0xd5, - 0x73, 0xf9, 0x77, 0xa1, 0x1e, 0x79, 0x48, 0x11])) - } + pub fn get_p(&self) -> UCN { + UCN::from_bytes(&self.p) } - /// Create a new elliptic curve structure that represents NIST's - /// p224 curve. - pub fn p224() -> EllipticCurve { - EllipticCurve { - p: UCN::from_bytes(&vec![ - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x01]), - n: UCN::from_bytes(&vec![ - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, - 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, - 0x5c, 0x5c, 0x2a, 0x3d]), - SEED: UCN::from_bytes(&vec![ - 0xbd, 0x71, 0x34, 0x47, 0x99, 0xd5, 0xc7, 0xfc, - 0xdc, 0x45, 0xb5, 0x9f, 0xa3, 0xb9, 0xab, 0x8f, - 0x6a, 0x94, 0x8b, 0xc5]), - c: UCN::from_bytes(&vec![ - 0x5b, 0x05, 0x6c, 0x7e, 0x11, 0xdd, 0x68, 0xf4, - 0x04, 0x69, 0xee, 0x7f, 0x3c, 0x7a, 0x7d, 0x74, - 0xf7, 0xd1, 0x21, 0x11, 0x65, 0x06, 0xd0, 0x31, - 0x21, 0x82, 0x91, 0xfb]), - a: UCN::from_bytes(&vec![ - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xfe]), - b: UCN::from_bytes(&vec![ - 0xb4, 0x05, 0x0a, 0x85, 0x0c, 0x04, 0xb3, 0xab, - 0xf5, 0x41, 0x32, 0x56, 0x50, 0x44, 0xb0, 0xb7, - 0xd7, 0xbf, 0xd8, 0xba, 0x27, 0x0b, 0x39, 0x43, - 0x23, 0x55, 0xff, 0xb4]), - Gx: SCN::from(UCN::from_bytes(&vec![ - 0xb7, 0x0e, 0x0c, 0xbd, 0x6b, 0xb4, 0xbf, 0x7f, - 0x32, 0x13, 0x90, 0xb9, 0x4a, 0x03, 0xc1, 0xd3, - 0x56, 0xc2, 0x11, 0x22, 0x34, 0x32, 0x80, 0xd6, - 0x11, 0x5c, 0x1d, 0x21])), - Gy: SCN::from(UCN::from_bytes(&vec![ - 0xbd, 0x37, 0x63, 0x88, 0xb5, 0xf7, 0x23, 0xfb, - 0x4c, 0x22, 0xdf, 0xe6, 0xcd, 0x43, 0x75, 0xa0, - 0x5a, 0x07, 0x47, 0x64, 0x44, 0xd5, 0x81, 0x99, - 0x85, 0x00, 0x7e, 0x34])) - } + pub fn get_pu(&self) -> BarrettUCN { + self.get_p().barrett_uk(self.get_p().contents.len() + 4) } - /// Create a new elliptic curve structure that represents NIST's - /// p256 curve. - pub fn p256() -> EllipticCurve { - EllipticCurve { - p: UCN::from_bytes(&vec![ - 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x01, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff]), - n: UCN::from_bytes(&vec![ - 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xbc, 0xe6, 0xfa, 0xad, 0xa7, 0x17, 0x9e, 0x84, - 0xf3, 0xb9, 0xca, 0xc2, 0xfc, 0x63, 0x25, 0x51]), - SEED: UCN::from_bytes(&vec![ - 0xc4, 0x9d, 0x36, 0x08, 0x86, 0xe7, 0x04, 0x93, - 0x6a, 0x66, 0x78, 0xe1, 0x13, 0x9d, 0x26, 0xb7, - 0x81, 0x9f, 0x7e, 0x90]), - c: UCN::from_bytes(&vec![ - 0x7e, 0xfb, 0xa1, 0x66, 0x29, 0x85, 0xbe, 0x94, - 0x03, 0xcb, 0x05, 0x5c, 0x75, 0xd4, 0xf7, 0xe0, - 0xce, 0x8d, 0x84, 0xa9, 0xc5, 0x11, 0x4a, 0xbc, - 0xaf, 0x31, 0x77, 0x68, 0x01, 0x04, 0xfa, 0x0d]), - a: UCN::from_bytes(&vec![ - 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x01, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfc]), - b: UCN::from_bytes(&vec![ - 0x5a, 0xc6, 0x35, 0xd8, 0xaa, 0x3a, 0x93, 0xe7, - 0xb3, 0xeb, 0xbd, 0x55, 0x76, 0x98, 0x86, 0xbc, - 0x65, 0x1d, 0x06, 0xb0, 0xcc, 0x53, 0xb0, 0xf6, - 0x3b, 0xce, 0x3c, 0x3e, 0x27, 0xd2, 0x60, 0x4b]), - Gx: SCN::from(UCN::from_bytes(&vec![ - 0x6b, 0x17, 0xd1, 0xf2, 0xe1, 0x2c, 0x42, 0x47, - 0xf8, 0xbc, 0xe6, 0xe5, 0x63, 0xa4, 0x40, 0xf2, - 0x77, 0x03, 0x7d, 0x81, 0x2d, 0xeb, 0x33, 0xa0, - 0xf4, 0xa1, 0x39, 0x45, 0xd8, 0x98, 0xc2, 0x96])), - Gy: SCN::from(UCN::from_bytes(&vec![ - 0x4f, 0xe3, 0x42, 0xe2, 0xfe, 0x1a, 0x7f, 0x9b, - 0x8e, 0xe7, 0xeb, 0x4a, 0x7c, 0x0f, 0x9e, 0x16, - 0x2b, 0xce, 0x33, 0x57, 0x6b, 0x31, 0x5e, 0xce, - 0xcb, 0xb6, 0x40, 0x68, 0x37, 0xbf, 0x51, 0xf5])) - } + pub fn get_n(&self) -> UCN { + UCN::from_bytes(&self.n) } - /// Create a new elliptic curve structure that represents NIST's - /// p256 curve. - pub fn p384() -> EllipticCurve { - EllipticCurve { - p: UCN::from_bytes(&vec![ - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, - 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff]), - n: UCN::from_bytes(&vec![ - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xc7, 0x63, 0x4d, 0x81, 0xf4, 0x37, 0x2d, 0xdf, - 0x58, 0x1a, 0x0d, 0xb2, 0x48, 0xb0, 0xa7, 0x7a, - 0xec, 0xec, 0x19, 0x6a, 0xcc, 0xc5, 0x29, 0x73]), - SEED: UCN::from_bytes(&vec![ - 0xa3, 0x35, 0x92, 0x6a, 0xa3, 0x19, 0xa2, 0x7a, - 0x1d, 0x00, 0x89, 0x6a, 0x67, 0x73, 0xa4, 0x82, - 0x7a, 0xcd, 0xac, 0x73]), - c: UCN::from_bytes(&vec![ - 0x79, 0xd1, 0xe6, 0x55, 0xf8, 0x68, 0xf0, 0x2f, - 0xff, 0x48, 0xdc, 0xde, 0xe1, 0x41, 0x51, 0xdd, - 0xb8, 0x06, 0x43, 0xc1, 0x40, 0x6d, 0x0c, 0xa1, - 0x0d, 0xfe, 0x6f, 0xc5, 0x20, 0x09, 0x54, 0x0a, - 0x49, 0x5e, 0x80, 0x42, 0xea, 0x5f, 0x74, 0x4f, - 0x6e, 0x18, 0x46, 0x67, 0xcc, 0x72, 0x24, 0x83]), - a: UCN::from_bytes(&vec![ - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, - 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xfc]), - b: UCN::from_bytes(&vec![ - 0xb3, 0x31, 0x2f, 0xa7, 0xe2, 0x3e, 0xe7, 0xe4, - 0x98, 0x8e, 0x05, 0x6b, 0xe3, 0xf8, 0x2d, 0x19, - 0x18, 0x1d, 0x9c, 0x6e, 0xfe, 0x81, 0x41, 0x12, - 0x03, 0x14, 0x08, 0x8f, 0x50, 0x13, 0x87, 0x5a, - 0xc6, 0x56, 0x39, 0x8d, 0x8a, 0x2e, 0xd1, 0x9d, - 0x2a, 0x85, 0xc8, 0xed, 0xd3, 0xec, 0x2a, 0xef]), - Gx: SCN::from(UCN::from_bytes(&vec![ - 0xaa, 0x87, 0xca, 0x22, 0xbe, 0x8b, 0x05, 0x37, - 0x8e, 0xb1, 0xc7, 0x1e, 0xf3, 0x20, 0xad, 0x74, - 0x6e, 0x1d, 0x3b, 0x62, 0x8b, 0xa7, 0x9b, 0x98, - 0x59, 0xf7, 0x41, 0xe0, 0x82, 0x54, 0x2a, 0x38, - 0x55, 0x02, 0xf2, 0x5d, 0xbf, 0x55, 0x29, 0x6c, - 0x3a, 0x54, 0x5e, 0x38, 0x72, 0x76, 0x0a, 0xb7])), - Gy: SCN::from(UCN::from_bytes(&vec![ - 0x36, 0x17, 0xde, 0x4a, 0x96, 0x26, 0x2c, 0x6f, - 0x5d, 0x9e, 0x98, 0xbf, 0x92, 0x92, 0xdc, 0x29, - 0xf8, 0xf4, 0x1d, 0xbd, 0x28, 0x9a, 0x14, 0x7c, - 0xe9, 0xda, 0x31, 0x13, 0xb5, 0xf0, 0xb8, 0xc0, - 0x0a, 0x60, 0xb1, 0xce, 0x1d, 0x7e, 0x81, 0x9d, - 0x7a, 0x43, 0x1d, 0x7c, 0x90, 0xea, 0x0e, 0x5f])) - } + pub fn get_seed(&self) -> UCN { + UCN::from_bytes(&self.seed) } - /// Create a new elliptic curve structure that represents NIST's - /// p256 curve. - pub fn p521() -> EllipticCurve { - EllipticCurve { - p: UCN::from_bytes(&vec![ - 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff]), - n: UCN::from_bytes(&vec![ - 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xfa, 0x51, 0x86, 0x87, 0x83, 0xbf, 0x2f, - 0x96, 0x6b, 0x7f, 0xcc, 0x01, 0x48, 0xf7, 0x09, - 0xa5, 0xd0, 0x3b, 0xb5, 0xc9, 0xb8, 0x89, 0x9c, - 0x47, 0xae, 0xbb, 0x6f, 0xb7, 0x1e, 0x91, 0x38, - 0x64, 0x09]), - SEED: UCN::from_bytes(&vec![ - 0xd0, 0x9e, 0x88, 0x00, 0x29, 0x1c, 0xb8, 0x53, - 0x96, 0xcc, 0x67, 0x17, 0x39, 0x32, 0x84, 0xaa, - 0xa0, 0xda, 0x64, 0xba]), - c: UCN::from_bytes(&vec![ - 0xb4, 0x8b, 0xfa, 0x5f, 0x42, 0x0a, 0x34, 0x94, - 0x95, 0x39, 0xd2, 0xbd, 0xfc, 0x26, 0x4e, 0xee, - 0xeb, 0x07, 0x76, 0x88, 0xe4, 0x4f, 0xbf, 0x0a, - 0xd8, 0xf6, 0xd0, 0xed, 0xb3, 0x7b, 0xd6, 0xb5, - 0x33, 0x28, 0x10, 0x00, 0x51, 0x8e, 0x19, 0xf1, - 0xb9, 0xff, 0xbe, 0x0f, 0xe9, 0xed, 0x8a, 0x3c, - 0x22, 0x00, 0xb8, 0xf8, 0x75, 0xe5, 0x23, 0x86, - 0x8c, 0x70, 0xc1, 0xe5, 0xbf, 0x55, 0xba, 0xd6, - 0x37]), - a: UCN::from_bytes(&vec![ - 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xfc]), - b: UCN::from_bytes(&vec![ - 0x51, 0x95, 0x3e, 0xb9, 0x61, 0x8e, 0x1c, 0x9a, - 0x1f, 0x92, 0x9a, 0x21, 0xa0, 0xb6, 0x85, 0x40, - 0xee, 0xa2, 0xda, 0x72, 0x5b, 0x99, 0xb3, 0x15, - 0xf3, 0xb8, 0xb4, 0x89, 0x91, 0x8e, 0xf1, 0x09, - 0xe1, 0x56, 0x19, 0x39, 0x51, 0xec, 0x7e, 0x93, - 0x7b, 0x16, 0x52, 0xc0, 0xbd, 0x3b, 0xb1, 0xbf, - 0x07, 0x35, 0x73, 0xdf, 0x88, 0x3d, 0x2c, 0x34, - 0xf1, 0xef, 0x45, 0x1f, 0xd4, 0x6b, 0x50, 0x3f, - 0x00]), - Gx: SCN::from(UCN::from_bytes(&vec![ - 0xc6, 0x85, 0x8e, 0x06, 0xb7, 0x04, 0x04, 0xe9, - 0xcd, 0x9e, 0x3e, 0xcb, 0x66, 0x23, 0x95, 0xb4, - 0x42, 0x9c, 0x64, 0x81, 0x39, 0x05, 0x3f, 0xb5, - 0x21, 0xf8, 0x28, 0xaf, 0x60, 0x6b, 0x4d, 0x3d, - 0xba, 0xa1, 0x4b, 0x5e, 0x77, 0xef, 0xe7, 0x59, - 0x28, 0xfe, 0x1d, 0xc1, 0x27, 0xa2, 0xff, 0xa8, - 0xde, 0x33, 0x48, 0xb3, 0xc1, 0x85, 0x6a, 0x42, - 0x9b, 0xf9, 0x7e, 0x7e, 0x31, 0xc2, 0xe5, 0xbd, - 0x66])), - Gy: SCN::from(UCN::from_bytes(&vec![ - 0x18, 0x39, 0x29, 0x6a, 0x78, 0x9a, 0x3b, 0xc0, - 0x04, 0x5c, 0x8a, 0x5f, 0xb4, 0x2c, 0x7d, 0x1b, - 0xd9, 0x98, 0xf5, 0x44, 0x49, 0x57, 0x9b, 0x44, - 0x68, 0x17, 0xaf, 0xbd, 0x17, 0x27, 0x3e, 0x66, - 0x2c, 0x97, 0xee, 0x72, 0x99, 0x5e, 0xf4, 0x26, - 0x40, 0xc5, 0x50, 0xb9, 0x01, 0x3f, 0xad, 0x07, - 0x61, 0x35, 0x3c, 0x70, 0x86, 0xa2, 0x72, 0xc2, - 0x40, 0x88, 0xbe, 0x94, 0x76, 0x9f, 0xd1, 0x66, - 0x50])) - } + pub fn get_c(&self) -> UCN { + UCN::from_bytes(&self.c) + } + + pub fn get_a(&self) -> UCN { + UCN::from_bytes(&self.a) + } + + pub fn get_b(&self) -> UCN { + UCN::from_bytes(&self.b) + } + + pub fn default(&'static self) -> ECPoint { + let x = SCN::from(UCN::from_bytes(&self.gx)); + let y = SCN::from(UCN::from_bytes(&self.gy)); + ECPoint::new(self, x, y) } } +pub const NIST_P192: EllipticCurve = EllipticCurve { + name: "secp192r1", + p: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff ], + n: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x99, 0xde, + 0xf8, 0x36, 0x14, 0x6b, 0xc9, 0xb1, 0xb4, 0xd2, + 0x28, 0x31 ], + seed: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x30, 0x45, + 0xae, 0x6f, 0xc8, 0x42, 0x2f, 0x64, 0xed, 0x57, + 0x95, 0x28, 0xd3, 0x81, 0x20, 0xea, 0xe1, 0x21, + 0x96, 0xd5 ], + c: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x30, 0x99, 0xd2, 0xbb, 0xbf, 0xcb, + 0x25, 0x38, 0x54, 0x2d, 0xcd, 0x5f, 0xb0, 0x78, + 0xb6, 0xef, 0x5f, 0x3d, 0x6f, 0xe2, 0xc7, 0x45, + 0xde, 0x65 ], + a: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xfc ], + b: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x64, 0x21, 0x05, 0x19, 0xe5, 0x9c, + 0x80, 0xe7, 0x0f, 0xa7, 0xe9, 0xab, 0x72, 0x24, + 0x30, 0x49, 0xfe, 0xb8, 0xde, 0xec, 0xc1, 0x46, + 0xb9, 0xb1 ], + gx: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x18, 0x8d, 0xa8, 0x0e, 0xb0, 0x30, + 0x90, 0xf6, 0x7c, 0xbf, 0x20, 0xeb, 0x43, 0xa1, + 0x88, 0x00, 0xf4, 0xff, 0x0a, 0xfd, 0x82, 0xff, + 0x10, 0x12 ], + gy: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x07, 0x19, 0x2b, 0x95, 0xff, 0xc8, + 0xda, 0x78, 0x63, 0x10, 0x11, 0xed, 0x6b, 0x24, + 0xcd, 0xd5, 0x73, 0xf9, 0x77, 0xa1, 0x1e, 0x79, + 0x48, 0x11 ] +}; +pub const NIST_P224: EllipticCurve = EllipticCurve { + name: "secp224r1", + p: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x01], + n: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, 0xe0, 0xb8, + 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, 0x5c, 0x5c, + 0x2a, 0x3d], + seed: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xbd, 0x71, + 0x34, 0x47, 0x99, 0xd5, 0xc7, 0xfc, 0xdc, 0x45, + 0xb5, 0x9f, 0xa3, 0xb9, 0xab, 0x8f, 0x6a, 0x94, + 0x8b, 0xc5], + c: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x5b, 0x05, + 0x6c, 0x7e, 0x11, 0xdd, 0x68, 0xf4, 0x04, 0x69, + 0xee, 0x7f, 0x3c, 0x7a, 0x7d, 0x74, 0xf7, 0xd1, + 0x21, 0x11, 0x65, 0x06, 0xd0, 0x31, 0x21, 0x82, + 0x91, 0xfb], + a: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xfe], + b: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xb4, 0x05, + 0x0a, 0x85, 0x0c, 0x04, 0xb3, 0xab, 0xf5, 0x41, + 0x32, 0x56, 0x50, 0x44, 0xb0, 0xb7, 0xd7, 0xbf, + 0xd8, 0xba, 0x27, 0x0b, 0x39, 0x43, 0x23, 0x55, + 0xff, 0xb4], + gx: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xb7, 0x0e, + 0x0c, 0xbd, 0x6b, 0xb4, 0xbf, 0x7f, 0x32, 0x13, + 0x90, 0xb9, 0x4a, 0x03, 0xc1, 0xd3, 0x56, 0xc2, + 0x11, 0x22, 0x34, 0x32, 0x80, 0xd6, 0x11, 0x5c, + 0x1d, 0x21], + gy: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xbd, 0x37, + 0x63, 0x88, 0xb5, 0xf7, 0x23, 0xfb, 0x4c, 0x22, + 0xdf, 0xe6, 0xcd, 0x43, 0x75, 0xa0, 0x5a, 0x07, + 0x47, 0x64, 0x44, 0xd5, 0x81, 0x99, 0x85, 0x00, + 0x7e, 0x34] +}; + +pub const NIST_P256: EllipticCurve = EllipticCurve { + name: "secp256r1", + p: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, + 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff], + n: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, + 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xbc, 0xe6, 0xfa, 0xad, 0xa7, 0x17, + 0x9e, 0x84, 0xf3, 0xb9, 0xca, 0xc2, 0xfc, 0x63, + 0x25, 0x51], + seed: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xc4, 0x9d, + 0x36, 0x08, 0x86, 0xe7, 0x04, 0x93, 0x6a, 0x66, + 0x78, 0xe1, 0x13, 0x9d, 0x26, 0xb7, 0x81, 0x9f, + 0x7e, 0x90], + c: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x7e, 0xfb, 0xa1, 0x66, 0x29, 0x85, + 0xbe, 0x94, 0x03, 0xcb, 0x05, 0x5c, 0x75, 0xd4, + 0xf7, 0xe0, 0xce, 0x8d, 0x84, 0xa9, 0xc5, 0x11, + 0x4a, 0xbc, 0xaf, 0x31, 0x77, 0x68, 0x01, 0x04, + 0xfa, 0x0d], + a: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, + 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xfc], + b: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x5a, 0xc6, 0x35, 0xd8, 0xaa, 0x3a, + 0x93, 0xe7, 0xb3, 0xeb, 0xbd, 0x55, 0x76, 0x98, + 0x86, 0xbc, 0x65, 0x1d, 0x06, 0xb0, 0xcc, 0x53, + 0xb0, 0xf6, 0x3b, 0xce, 0x3c, 0x3e, 0x27, 0xd2, + 0x60, 0x4b], + gx: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x6b, 0x17, 0xd1, 0xf2, 0xe1, 0x2c, + 0x42, 0x47, 0xf8, 0xbc, 0xe6, 0xe5, 0x63, 0xa4, + 0x40, 0xf2, 0x77, 0x03, 0x7d, 0x81, 0x2d, 0xeb, + 0x33, 0xa0, 0xf4, 0xa1, 0x39, 0x45, 0xd8, 0x98, + 0xc2, 0x96], + gy: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x4f, 0xe3, 0x42, 0xe2, 0xfe, 0x1a, + 0x7f, 0x9b, 0x8e, 0xe7, 0xeb, 0x4a, 0x7c, 0x0f, + 0x9e, 0x16, 0x2b, 0xce, 0x33, 0x57, 0x6b, 0x31, + 0x5e, 0xce, 0xcb, 0xb6, 0x40, 0x68, 0x37, 0xbf, + 0x51, 0xf5] +}; + +pub const NIST_P384: EllipticCurve = EllipticCurve { + name: "secp384r1", + p: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xfe, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, + 0xff, 0xff], + n: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xc7, 0x63, 0x4d, 0x81, 0xf4, 0x37, + 0x2d, 0xdf, 0x58, 0x1a, 0x0d, 0xb2, 0x48, 0xb0, + 0xa7, 0x7a, 0xec, 0xec, 0x19, 0x6a, 0xcc, 0xc5, + 0x29, 0x73], + seed: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xa3, 0x35, + 0x92, 0x6a, 0xa3, 0x19, 0xa2, 0x7a, 0x1d, 0x00, + 0x89, 0x6a, 0x67, 0x73, 0xa4, 0x82, 0x7a, 0xcd, + 0xac, 0x73], + c: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x79, 0xd1, 0xe6, 0x55, 0xf8, 0x68, + 0xf0, 0x2f, 0xff, 0x48, 0xdc, 0xde, 0xe1, 0x41, + 0x51, 0xdd, 0xb8, 0x06, 0x43, 0xc1, 0x40, 0x6d, + 0x0c, 0xa1, 0x0d, 0xfe, 0x6f, 0xc5, 0x20, 0x09, + 0x54, 0x0a, 0x49, 0x5e, 0x80, 0x42, 0xea, 0x5f, + 0x74, 0x4f, 0x6e, 0x18, 0x46, 0x67, 0xcc, 0x72, + 0x24, 0x83], + a: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xfe, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, + 0xff, 0xfc], + b: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0xb3, 0x31, 0x2f, 0xa7, 0xe2, 0x3e, + 0xe7, 0xe4, 0x98, 0x8e, 0x05, 0x6b, 0xe3, 0xf8, + 0x2d, 0x19, 0x18, 0x1d, 0x9c, 0x6e, 0xfe, 0x81, + 0x41, 0x12, 0x03, 0x14, 0x08, 0x8f, 0x50, 0x13, + 0x87, 0x5a, 0xc6, 0x56, 0x39, 0x8d, 0x8a, 0x2e, + 0xd1, 0x9d, 0x2a, 0x85, 0xc8, 0xed, 0xd3, 0xec, + 0x2a, 0xef], + gx: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0xaa, 0x87, 0xca, 0x22, 0xbe, 0x8b, + 0x05, 0x37, 0x8e, 0xb1, 0xc7, 0x1e, 0xf3, 0x20, + 0xad, 0x74, 0x6e, 0x1d, 0x3b, 0x62, 0x8b, 0xa7, + 0x9b, 0x98, 0x59, 0xf7, 0x41, 0xe0, 0x82, 0x54, + 0x2a, 0x38, 0x55, 0x02, 0xf2, 0x5d, 0xbf, 0x55, + 0x29, 0x6c, 0x3a, 0x54, 0x5e, 0x38, 0x72, 0x76, + 0x0a, 0xb7], + gy: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x36, 0x17, 0xde, 0x4a, 0x96, 0x26, + 0x2c, 0x6f, 0x5d, 0x9e, 0x98, 0xbf, 0x92, 0x92, + 0xdc, 0x29, 0xf8, 0xf4, 0x1d, 0xbd, 0x28, 0x9a, + 0x14, 0x7c, 0xe9, 0xda, 0x31, 0x13, 0xb5, 0xf0, + 0xb8, 0xc0, 0x0a, 0x60, 0xb1, 0xce, 0x1d, 0x7e, + 0x81, 0x9d, 0x7a, 0x43, 0x1d, 0x7c, 0x90, 0xea, + 0x0e, 0x5f] +}; + +pub const NIST_P521: EllipticCurve = EllipticCurve { + name: "secp521r1", + p: [ 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff ], + n: [ 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xfa, 0x51, 0x86, 0x87, 0x83, 0xbf, 0x2f, + 0x96, 0x6b, 0x7f, 0xcc, 0x01, 0x48, 0xf7, 0x09, + 0xa5, 0xd0, 0x3b, 0xb5, 0xc9, 0xb8, 0x89, 0x9c, + 0x47, 0xae, 0xbb, 0x6f, 0xb7, 0x1e, 0x91, 0x38, + 0x64, 0x09 ], + seed: [ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xd0, 0x9e, + 0x88, 0x00, 0x29, 0x1c, 0xb8, 0x53, 0x96, 0xcc, + 0x67, 0x17, 0x39, 0x32, 0x84, 0xaa, 0xa0, 0xda, + 0x64, 0xba ], + c: [ 0x00, 0xb4, 0x8b, 0xfa, 0x5f, 0x42, 0x0a, 0x34, + 0x94, 0x95, 0x39, 0xd2, 0xbd, 0xfc, 0x26, 0x4e, + 0xee, 0xeb, 0x07, 0x76, 0x88, 0xe4, 0x4f, 0xbf, + 0x0a, 0xd8, 0xf6, 0xd0, 0xed, 0xb3, 0x7b, 0xd6, + 0xb5, 0x33, 0x28, 0x10, 0x00, 0x51, 0x8e, 0x19, + 0xf1, 0xb9, 0xff, 0xbe, 0x0f, 0xe9, 0xed, 0x8a, + 0x3c, 0x22, 0x00, 0xb8, 0xf8, 0x75, 0xe5, 0x23, + 0x86, 0x8c, 0x70, 0xc1, 0xe5, 0xbf, 0x55, 0xba, + 0xd6, 0x37 ], + a: [ 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xfc ], + b: [ 0x00, 0x51, 0x95, 0x3e, 0xb9, 0x61, 0x8e, 0x1c, + 0x9a, 0x1f, 0x92, 0x9a, 0x21, 0xa0, 0xb6, 0x85, + 0x40, 0xee, 0xa2, 0xda, 0x72, 0x5b, 0x99, 0xb3, + 0x15, 0xf3, 0xb8, 0xb4, 0x89, 0x91, 0x8e, 0xf1, + 0x09, 0xe1, 0x56, 0x19, 0x39, 0x51, 0xec, 0x7e, + 0x93, 0x7b, 0x16, 0x52, 0xc0, 0xbd, 0x3b, 0xb1, + 0xbf, 0x07, 0x35, 0x73, 0xdf, 0x88, 0x3d, 0x2c, + 0x34, 0xf1, 0xef, 0x45, 0x1f, 0xd4, 0x6b, 0x50, + 0x3f, 0x00 ], + gx: [ 0x00, 0xc6, 0x85, 0x8e, 0x06, 0xb7, 0x04, 0x04, + 0xe9, 0xcd, 0x9e, 0x3e, 0xcb, 0x66, 0x23, 0x95, + 0xb4, 0x42, 0x9c, 0x64, 0x81, 0x39, 0x05, 0x3f, + 0xb5, 0x21, 0xf8, 0x28, 0xaf, 0x60, 0x6b, 0x4d, + 0x3d, 0xba, 0xa1, 0x4b, 0x5e, 0x77, 0xef, 0xe7, + 0x59, 0x28, 0xfe, 0x1d, 0xc1, 0x27, 0xa2, 0xff, + 0xa8, 0xde, 0x33, 0x48, 0xb3, 0xc1, 0x85, 0x6a, + 0x42, 0x9b, 0xf9, 0x7e, 0x7e, 0x31, 0xc2, 0xe5, + 0xbd, 0x66 ], + gy: [ 0x00, 0x18, 0x39, 0x29, 0x6a, 0x78, 0x9a, 0x3b, + 0xc0, 0x04, 0x5c, 0x8a, 0x5f, 0xb4, 0x2c, 0x7d, + 0x1b, 0xd9, 0x98, 0xf5, 0x44, 0x49, 0x57, 0x9b, + 0x44, 0x68, 0x17, 0xaf, 0xbd, 0x17, 0x27, 0x3e, + 0x66, 0x2c, 0x97, 0xee, 0x72, 0x99, 0x5e, 0xf4, + 0x26, 0x40, 0xc5, 0x50, 0xb9, 0x01, 0x3f, 0xad, + 0x07, 0x61, 0x35, 0x3c, 0x70, 0x86, 0xa2, 0x72, + 0xc2, 0x40, 0x88, 0xbe, 0x94, 0x76, 0x9f, 0xd1, + 0x66, 0x50 ] +}; diff --git a/src/ecdsa/gold_tests.rs b/src/ecdsa/gold_tests.rs index c247ad4..cca09a4 100644 --- a/src/ecdsa/gold_tests.rs +++ b/src/ecdsa/gold_tests.rs @@ -1,86 +1,187 @@ use cryptonum::{SCN,UCN}; -use dsa::rfc6979::*; -use ecdsa::curves::EllipticCurve; -use ecdsa::math::ECCPoint; -use ecdsa::private::ECDSAPrivate; -use ecdsa::public::ECDSAPublic; -use sha1::Sha1; -use sha2::{Sha224,Sha256,Sha384,Sha512}; +//use dsa::rfc6979::*; +use ecdsa::curves::*; +use ecdsa::point::ECPoint; +//use ecdsa::private::ECDSAPrivate; +//use ecdsa::public::ECDSAPublic; +//use sha1::Sha1; +//use sha2::{Sha224,Sha256,Sha384,Sha512}; use testing::run_test; -fn get_curve(cbytes: &[u8]) -> EllipticCurve { +fn get_curve(cbytes: &[u8]) -> &'static EllipticCurve { match usize::from(UCN::from_bytes(cbytes)) { - 0x192 => EllipticCurve::p192(), - 0x224 => EllipticCurve::p224(), - 0x256 => EllipticCurve::p256(), - 0x384 => EllipticCurve::p384(), - 0x521 => EllipticCurve::p521(), - _ => panic!("Unacceptable curve identifier") + 0x192 => &NIST_P192, + 0x224 => &NIST_P224, + 0x256 => &NIST_P256, + 0x384 => &NIST_P384, + 0x521 => &NIST_P521, + x => panic!("Unacceptable curve identifier {}", x) } } #[test] -fn verification_tests() +fn point_negate() { - run_test("tests/ecdsa/signature.test", 8, |case| { - let (neg0, cbytes) = case.get("c").unwrap(); - let (negx, xbytes) = case.get("x").unwrap(); - let (negy, ybytes) = case.get("y").unwrap(); - let (neg1, hbytes) = case.get("h").unwrap(); - let (neg2, msg) = case.get("m").unwrap(); - let (neg3, rbytes) = case.get("r").unwrap(); - let (neg4, sbytes) = case.get("s").unwrap(); + run_test("tests/ecdsa/ec_negate.test", 5, |case| { + let (neg0, abytes) = case.get("a").unwrap(); + let (neg1, bbytes) = case.get("b").unwrap(); + let (neg2, cbytes) = case.get("c").unwrap(); + let (neg3, xbytes) = case.get("x").unwrap(); + let (neg4, ybytes) = case.get("y").unwrap(); - assert!(!neg0 & !neg1 & !neg2 & !neg3 & !neg4); - let curve = get_curve(cbytes); - let ux = UCN::from_bytes(xbytes); - let uy = UCN::from_bytes(ybytes); - let x = SCN{ negative: *negx, value: ux }; - let y = SCN{ negative: *negy, value: uy }; - let point = ECCPoint::new(&curve, x, y); - let public = ECDSAPublic::new(&curve, &point); - let r = UCN::from_bytes(rbytes); - let s = UCN::from_bytes(sbytes); - println!("r: {:X}", r); - let sig = DSASignature{ r: r, s: s }; - - match usize::from(UCN::from_bytes(hbytes)) { - 0x1 => assert!(public.verify::(msg, &sig)), - 0x224 => assert!(public.verify::(msg, &sig)), - 0x256 => assert!(public.verify::(msg, &sig)), - 0x384 => assert!(public.verify::(msg, &sig)), - 0x512 => assert!(public.verify::(msg, &sig)), - v => panic!("Bad hash size {}!", v) - } + assert!(!neg0 && !neg1 && !neg2 && !neg3 && !neg4); + let curve = get_curve(&cbytes); + let x = SCN::from(UCN::from_bytes(xbytes)); + let y = SCN::from(UCN::from_bytes(ybytes)); + let orig = ECPoint::new(curve, x, y); + let a = SCN::from(UCN::from_bytes(abytes)); + let b = SCN::from(UCN::from_bytes(bbytes)); + let inverted = ECPoint::new(curve, a, b); + assert_eq!(inverted, orig.negate()); }); } #[test] -fn signing_tests() +fn point_double() { - run_test("tests/ecdsa/signature.test", 8, |case| { - let (neg0, cbytes) = case.get("c").unwrap(); - let (neg1, dbytes) = case.get("d").unwrap(); - let (neg2, hbytes) = case.get("h").unwrap(); - let (neg3, msg) = case.get("m").unwrap(); - let (neg4, rbytes) = case.get("r").unwrap(); - let (neg5, sbytes) = case.get("s").unwrap(); + run_test("tests/ecdsa/ec_dble.test", 5, |case| { + println!("START"); + let (neg0, abytes) = case.get("a").unwrap(); + let (neg1, bbytes) = case.get("b").unwrap(); + let (neg2, cbytes) = case.get("c").unwrap(); + let (neg3, xbytes) = case.get("x").unwrap(); + let (neg4, ybytes) = case.get("y").unwrap(); - assert!(!neg0 & !neg1 & !neg2 & !neg3 & !neg4 & !neg5); - let curve = get_curve(cbytes); - let d = UCN::from_bytes(dbytes); - let private = ECDSAPrivate::new(&curve, &d); - let r = UCN::from_bytes(rbytes); - let s = UCN::from_bytes(sbytes); - let sig = DSASignature{ r: r, s: s }; - - match usize::from(UCN::from_bytes(hbytes)) { - 0x1 => assert_eq!(sig, private.sign::(msg)), - 0x224 => assert_eq!(sig, private.sign::(msg)), - 0x256 => assert_eq!(sig, private.sign::(msg)), - 0x384 => assert_eq!(sig, private.sign::(msg)), - 0x512 => assert_eq!(sig, private.sign::(msg)), - v => panic!("Bad hash size {}!", v) - } + assert!(!neg0 && !neg1 && !neg2 && !neg3 && !neg4); + println!("SEC1"); + let curve = get_curve(&cbytes); + println!("SEC2"); + let x = SCN::from(UCN::from_bytes(xbytes)); + let y = SCN::from(UCN::from_bytes(ybytes)); + let orig = ECPoint::new(curve, x, y); + println!("SEC3"); + let a = SCN::from(UCN::from_bytes(abytes)); + let b = SCN::from(UCN::from_bytes(bbytes)); + let doubled = ECPoint::new(curve, a, b); + println!("SEC4"); + assert_eq!(doubled, orig.double()); }); } + +#[test] +fn point_add() +{ + run_test("tests/ecdsa/ec_add.test", 7, |case| { + let (neg0, abytes) = case.get("a").unwrap(); + let (neg1, bbytes) = case.get("b").unwrap(); + let (neg2, qbytes) = case.get("q").unwrap(); + let (neg3, rbytes) = case.get("r").unwrap(); + let (neg4, cbytes) = case.get("c").unwrap(); + let (neg5, xbytes) = case.get("x").unwrap(); + let (neg6, ybytes) = case.get("y").unwrap(); + + assert!(!neg0 && !neg1 && !neg2 && !neg3 && !neg4 && !neg5 && !neg6); + let curve = get_curve(&cbytes); + let x = SCN::from(UCN::from_bytes(xbytes)); + let y = SCN::from(UCN::from_bytes(ybytes)); + let p1 = ECPoint::new(curve, x, y); + let q = SCN::from(UCN::from_bytes(qbytes)); + let r = SCN::from(UCN::from_bytes(rbytes)); + let p2 = ECPoint::new(curve, q, r); + let a = SCN::from(UCN::from_bytes(abytes)); + let b = SCN::from(UCN::from_bytes(bbytes)); + let result = ECPoint::new(curve, a, b); + assert_eq!(result, p1.add(&p2)); + }); +} + +#[test] +fn point_scale() +{ + run_test("tests/ecdsa/ec_mul.test", 6, |case| { + let (neg0, abytes) = case.get("a").unwrap(); + let (neg1, bbytes) = case.get("b").unwrap(); + let (neg2, kbytes) = case.get("k").unwrap(); + let (neg3, cbytes) = case.get("c").unwrap(); + let (neg4, xbytes) = case.get("x").unwrap(); + let (neg5, ybytes) = case.get("y").unwrap(); + + assert!(!neg0 && !neg1 && !neg2 && !neg3 && !neg4 && !neg5); + let curve = get_curve(&cbytes); + let x = SCN::from(UCN::from_bytes(xbytes)); + let y = SCN::from(UCN::from_bytes(ybytes)); + let base = ECPoint::new(curve, x, y); + let k = UCN::from_bytes(kbytes); + let a = SCN::from(UCN::from_bytes(abytes)); + let b = SCN::from(UCN::from_bytes(bbytes)); + let result = ECPoint::new(curve, a, b); + assert_eq!(result, base.scale(&k)); + }); +} + + +//#[test] +//fn verification_tests() +//{ +// run_test("tests/ecdsa/signature.test", 8, |case| { +// let (neg0, cbytes) = case.get("c").unwrap(); +// let (negx, xbytes) = case.get("x").unwrap(); +// let (negy, ybytes) = case.get("y").unwrap(); +// let (neg1, hbytes) = case.get("h").unwrap(); +// let (neg2, msg) = case.get("m").unwrap(); +// let (neg3, rbytes) = case.get("r").unwrap(); +// let (neg4, sbytes) = case.get("s").unwrap(); +// +// assert!(!neg0 & !neg1 & !neg2 & !neg3 & !neg4); +// let curve = get_curve(cbytes); +// let ux = UCN::from_bytes(xbytes); +// let uy = UCN::from_bytes(ybytes); +// let x = SCN{ negative: *negx, value: ux }; +// let y = SCN{ negative: *negy, value: uy }; +// let point = ECCPoint::new(&curve, x, y); +// let public = ECDSAPublic::new(&curve, &point); +// let r = UCN::from_bytes(rbytes); +// let s = UCN::from_bytes(sbytes); +// println!("r: {:X}", r); +// let sig = DSASignature{ r: r, s: s }; +// +// match usize::from(UCN::from_bytes(hbytes)) { +// 0x1 => assert!(public.verify::(msg, &sig)), +// 0x224 => assert!(public.verify::(msg, &sig)), +// 0x256 => assert!(public.verify::(msg, &sig)), +// 0x384 => assert!(public.verify::(msg, &sig)), +// 0x512 => assert!(public.verify::(msg, &sig)), +// v => panic!("Bad hash size {}!", v) +// } +// }); +//} +// +//#[test] +//fn signing_tests() +//{ +// run_test("tests/ecdsa/signature.test", 8, |case| { +// let (neg0, cbytes) = case.get("c").unwrap(); +// let (neg1, dbytes) = case.get("d").unwrap(); +// let (neg2, hbytes) = case.get("h").unwrap(); +// let (neg3, msg) = case.get("m").unwrap(); +// let (neg4, rbytes) = case.get("r").unwrap(); +// let (neg5, sbytes) = case.get("s").unwrap(); +// +// assert!(!neg0 & !neg1 & !neg2 & !neg3 & !neg4 & !neg5); +// let curve = get_curve(cbytes); +// let d = UCN::from_bytes(dbytes); +// let private = ECDSAPrivate::new(&curve, &d); +// let r = UCN::from_bytes(rbytes); +// let s = UCN::from_bytes(sbytes); +// let sig = DSASignature{ r: r, s: s }; +// +// match usize::from(UCN::from_bytes(hbytes)) { +// 0x1 => assert_eq!(sig, private.sign::(msg)), +// 0x224 => assert_eq!(sig, private.sign::(msg)), +// 0x256 => assert_eq!(sig, private.sign::(msg)), +// 0x384 => assert_eq!(sig, private.sign::(msg)), +// 0x512 => assert_eq!(sig, private.sign::(msg)), +// v => panic!("Bad hash size {}!", v) +// } +// }); +//} diff --git a/src/ecdsa/math.rs b/src/ecdsa/math.rs deleted file mode 100644 index 2df5822..0000000 --- a/src/ecdsa/math.rs +++ /dev/null @@ -1,162 +0,0 @@ -use cryptonum::{SCN,UCN}; -use ecdsa::curves::EllipticCurve; - -#[allow(non_snake_case)] -#[derive(Clone,Debug,PartialEq)] -pub struct ECCPoint { - pub curve: EllipticCurve, - pub x: SCN, - pub y: SCN -} - -pub fn point_add_two_muls(n1: &UCN, p1: &ECCPoint, n2: &UCN, p2: &ECCPoint) - -> ECCPoint -{ - let scaled1 = p1.scale(&n1); - let scaled2 = p2.scale(&n2); - scaled1.add(&scaled2) -} - -impl ECCPoint { - pub fn new(ec: &EllipticCurve, x: SCN, y: SCN) -> ECCPoint { - ECCPoint { curve: ec.clone(), x: x, y: y } - } - - pub fn default(ec: &EllipticCurve) -> ECCPoint { - ECCPoint { - curve: ec.clone(), - x: ec.Gx.clone(), - y: ec.Gy.clone() - } - } - - pub fn negate(&self) -> ECCPoint { - ECCPoint { - curve: self.curve.clone(), - x: self.x.clone(), - y: SCN::from(self.curve.p.clone()) - self.y.clone() - } - } - - pub fn double(&self) -> ECCPoint { - let ua = SCN::from(self.curve.a.clone()); - let up = SCN::from(self.curve.p.clone()); - // lambda = (3 * xp ^ 2 + a) / 2 yp - let xpsq = &self.x * &self.x; - let lambda_top = &(&SCN::from(3) * &xpsq) + &ua; - let lambda_bot = &self.y << 1; - let lambda = lambda_top.divmod(&lambda_bot, &self.curve.p); - // xr = lambda ^ 2 - 2 xp - let xr_left = &lambda * λ - let xr_right = &self.x << 1; - let xr = (xr_left - xr_right) % &up; - // yr = lambda (xp - xr) - yp - let xdiff = &self.x - &xr; - let yr_left = &lambda * &xdiff; - let yr = (&yr_left - &self.y) % &up; - // - ECCPoint{ curve: self.curve.clone(), x: xr, y: yr } - } - - pub fn add(&self, other: &ECCPoint) -> ECCPoint { - assert!(self.curve == other.curve); - let xdiff = &self.x - &other.x; - let ydiff = &self.y - &other.y; - let s = ydiff.divmod(&xdiff, &self.curve.p); - let pp = SCN::from(self.curve.p.clone()); - let xr = (&(&s * &s) - &self.x - &other.x) % &pp; - let yr = (&s * (&self.x - &xr) - &self.y) % &pp; - ECCPoint{ curve: self.curve.clone(), x: xr, y: yr } - } - - pub fn scale(&self, d: &UCN) -> ECCPoint { - assert!(!d.is_zero()); - let one = UCN::from(1u64); - #[allow(non_snake_case)] - let mut Q = self.clone(); - let i = d.bits() - 2; - let mut mask = &one << i; - - while !mask.is_zero() { - Q = Q.double(); - - let test = d & &mask; - if !test.is_zero() { - Q = Q.add(&self); - } - mask >>= 1; - } - - Q - } -} - -pub fn bits2int(x: &[u8], qlen: usize) -> UCN { - let mut value = UCN::from_bytes(x); - let vlen = x.len() * 8; - - if vlen > qlen { - value >>= vlen - qlen; - } - - value -} - -#[cfg(test)] -mod tests { - use super::*; - - #[test] - fn p256_double() { - let xbytes = vec![0x7c, 0xf2, 0x7b, 0x18, 0x8d, 0x03, 0x4f, 0x7e, - 0x8a, 0x52, 0x38, 0x03, 0x04, 0xb5, 0x1a, 0xc3, - 0xc0, 0x89, 0x69, 0xe2, 0x77, 0xf2, 0x1b, 0x35, - 0xa6, 0x0b, 0x48, 0xfc, 0x47, 0x66, 0x99, 0x78]; - let ybytes = vec![0x07, 0x77, 0x55, 0x10, 0xdb, 0x8e, 0xd0, 0x40, - 0x29, 0x3d, 0x9a, 0xc6, 0x9f, 0x74, 0x30, 0xdb, - 0xba, 0x7d, 0xad, 0xe6, 0x3c, 0xe9, 0x82, 0x29, - 0x9e, 0x04, 0xb7, 0x9d, 0x22, 0x78, 0x73, 0xd1]; - let x = SCN::from(UCN::from_bytes(&xbytes)); - let y = SCN::from(UCN::from_bytes(&ybytes)); - let base = ECCPoint::default(&EllipticCurve::p256()); - let res = base.double(); - let goal = ECCPoint{ curve: base.curve.clone(), x: x, y: y }; - assert_eq!(res, goal); - } - - #[test] - fn p256_add() { - let xbytes = vec![0x5e, 0xcb, 0xe4, 0xd1, 0xa6, 0x33, 0x0a, 0x44, - 0xc8, 0xf7, 0xef, 0x95, 0x1d, 0x4b, 0xf1, 0x65, - 0xe6, 0xc6, 0xb7, 0x21, 0xef, 0xad, 0xa9, 0x85, - 0xfb, 0x41, 0x66, 0x1b, 0xc6, 0xe7, 0xfd, 0x6c]; - let ybytes = vec![0x87, 0x34, 0x64, 0x0c, 0x49, 0x98, 0xff, 0x7e, - 0x37, 0x4b, 0x06, 0xce, 0x1a, 0x64, 0xa2, 0xec, - 0xd8, 0x2a, 0xb0, 0x36, 0x38, 0x4f, 0xb8, 0x3d, - 0x9a, 0x79, 0xb1, 0x27, 0xa2, 0x7d, 0x50, 0x32]; - let x = SCN::from(UCN::from_bytes(&xbytes)); - let y = SCN::from(UCN::from_bytes(&ybytes)); - let base = ECCPoint::default(&EllipticCurve::p256()); - let res = base.add(&base.double()); - let goal = ECCPoint{ curve: base.curve.clone(), x: x, y: y }; - assert_eq!(res, goal); - } - - #[test] - fn p256_scale() { - let xbytes = vec![0xea, 0x68, 0xd7, 0xb6, 0xfe, 0xdf, 0x0b, 0x71, - 0x87, 0x89, 0x38, 0xd5, 0x1d, 0x71, 0xf8, 0x72, - 0x9e, 0x0a, 0xcb, 0x8c, 0x2c, 0x6d, 0xf8, 0xb3, - 0xd7, 0x9e, 0x8a, 0x4b, 0x90, 0x94, 0x9e, 0xe0]; - let ybytes = vec![0x2a, 0x27, 0x44, 0xc9, 0x72, 0xc9, 0xfc, 0xe7, - 0x87, 0x01, 0x4a, 0x96, 0x4a, 0x8e, 0xa0, 0xc8, - 0x4d, 0x71, 0x4f, 0xea, 0xa4, 0xde, 0x82, 0x3f, - 0xe8, 0x5a, 0x22, 0x4a, 0x4d, 0xd0, 0x48, 0xfa]; - let x = SCN::from(UCN::from_bytes(&xbytes)); - let y = SCN::from(UCN::from_bytes(&ybytes)); - let base = ECCPoint::default(&EllipticCurve::p256()); - let res = base.scale(&UCN::from(9 as u64)); - let goal = ECCPoint{ curve: base.curve.clone(), x: x, y: y }; - assert_eq!(res, goal); - } -} diff --git a/src/ecdsa/mod.rs b/src/ecdsa/mod.rs index 044838e..e732c92 100644 --- a/src/ecdsa/mod.rs +++ b/src/ecdsa/mod.rs @@ -1,60 +1,61 @@ mod curves; #[cfg(test)] mod gold_tests; -mod math; -mod private; -mod public; - -pub use self::private::ECDSAPrivate; -pub use self::public::ECDSAPublic; - -use cryptonum::UCN; -use rand::{Rng,OsRng}; -use self::curves::EllipticCurve; -use self::math::ECCPoint; - -#[derive(Clone,Debug,PartialEq)] -pub struct ECDSAKeyPair { - pub private: ECDSAPrivate, - pub public: ECDSAPublic -} - -impl ECDSAKeyPair { - pub fn generate(params: &EllipticCurve) - -> ECDSAKeyPair - { - let mut rng = OsRng::new().unwrap(); - ECDSAKeyPair::generate_w_rng(&mut rng, params) - - } - - pub fn generate_w_rng(rng: &mut G, params: &EllipticCurve) - -> ECDSAKeyPair - { - let one = UCN::from(1u64); - #[allow(non_snake_case)] - let N = params.n.bits(); - let bits_to_generate = N + 64; - let bytes_to_generate = (bits_to_generate + 7) / 8; - let bits: Vec = rng.gen_iter().take(bytes_to_generate).collect(); - let bits_generated = bytes_to_generate * 8; - let mut c = UCN::from_bytes(&bits); - c >>= bits_generated - bits_to_generate; - let nm1 = ¶ms.n - &one; - let d = (c % &nm1) + &one; - #[allow(non_snake_case)] - let Q = ECCPoint::default(params).scale(&d); - ECDSAKeyPair { - private: ECDSAPrivate { - curve: params.clone(), - d: d - }, - public: ECDSAPublic { - curve: params.clone(), - Q: Q - } - } - } -} - - +mod point; +//mod private; +//mod public; +// +//pub use self::private::ECDSAPrivate; +//pub use self::public::ECDSAPublic; +pub use self::curves::{NIST_P192,NIST_P224,NIST_P256,NIST_P384,NIST_P521}; +// +//use cryptonum::UCN; +//use rand::{Rng,OsRng}; +//use self::curves::EllipticCurve; +//use self::math::ECCPoint; +// +//#[derive(Clone,Debug,PartialEq)] +//pub struct ECDSAKeyPair { +// pub private: ECDSAPrivate, +// pub public: ECDSAPublic +//} +// +//impl ECDSAKeyPair { +// pub fn generate(params: &'static EllipticCurve) +// -> ECDSAKeyPair +// { +// let mut rng = OsRng::new().unwrap(); +// ECDSAKeyPair::generate_w_rng(&mut rng, params) +// +// } +// +// pub fn generate_w_rng(rng: &mut G, params: &'static EllipticCurve) +// -> ECDSAKeyPair +// { +// let one = UCN::from(1u64); +// #[allow(non_snake_case)] +// let N = params.n.bits(); +// let bits_to_generate = N + 64; +// let bytes_to_generate = (bits_to_generate + 7) / 8; +// let bits: Vec = rng.gen_iter().take(bytes_to_generate).collect(); +// let bits_generated = bytes_to_generate * 8; +// let mut c = UCN::from_bytes(&bits); +// c >>= bits_generated - bits_to_generate; +// let nm1 = ¶ms.n - &one; +// let d = (c % &nm1) + &one; +// #[allow(non_snake_case)] +// let Q = ECCPoint::default(params).scale(&d); +// ECDSAKeyPair { +// private: ECDSAPrivate { +// curve: params, +// d: d +// }, +// public: ECDSAPublic { +// curve: params, +// Q: Q +// } +// } +// } +//} +// +// diff --git a/src/ecdsa/point.rs b/src/ecdsa/point.rs new file mode 100644 index 0000000..7c6c6e7 --- /dev/null +++ b/src/ecdsa/point.rs @@ -0,0 +1,227 @@ +use cryptonum::{SCN,UCN}; +use ecdsa::curves::EllipticCurve; + +#[derive(Clone,Debug,PartialEq)] +pub struct ECPoint { + pub curve: &'static EllipticCurve, + pub value: ECPointValue +} + +#[derive(Clone,Debug,PartialEq)] +pub enum ECPointValue { + Infinity, + Point(SCN, SCN) +} + +impl ECPoint { + pub fn new(ec: &'static EllipticCurve, x: SCN, y: SCN) -> ECPoint { + ECPoint { + curve: ec, + value: ECPointValue::Point(x, y) + } + } + + pub fn zero(ec: &'static EllipticCurve) -> ECPoint { + ECPoint { curve: ec, value: ECPointValue::Infinity } + } + + pub fn negate(&self) -> ECPoint { + match self.value { + ECPointValue::Infinity => + self.clone(), + ECPointValue::Point(ref x, ref y) => { + let newy = SCN::from(self.curve.get_p()) - y; + let newv = ECPointValue::Point(x.clone(), newy); + ECPoint{ curve: self.curve, value: newv } + } + } + } + + pub fn get_x(&self) -> SCN { + match self.value { + ECPointValue::Infinity => + SCN::zero(), + ECPointValue::Point(ref x, _) => + x.clone() + } + } + + pub fn get_y(&self) -> SCN { + match self.value { + ECPointValue::Infinity => + SCN::zero(), + ECPointValue::Point(_, ref y) => + y.clone() + } + } + + pub fn double(&self) -> ECPoint { + match self.value { + ECPointValue::Infinity => + self.clone(), + ECPointValue::Point(ref x, ref y) => { + let ua = SCN::from(self.curve.get_a()); + let up = SCN::from(self.curve.get_p()); + // lambda = (3 * xp ^ 2 + a) / 2 yp + let mut lambda = x * x; + lambda *= SCN::from(3); + lambda += &ua; + let twoy = y << 1; + lambda = lambda.divmod(&twoy, &self.curve.get_pu()); + // xr = lambda ^ 2 - 2 xp + let mut xr = &lambda * λ + let xr_right = x << 1; + xr -= xr_right; + assert!(!xr.is_negative()); + xr %= &up; + // yr = lambda (xp - xr) - yp + let xdiff = x - &xr; + let mut yr = &lambda * &xdiff; + yr -= y; + assert!(!yr.is_negative()); + yr %= up; + // + ECPoint { + curve: self.curve, + value: ECPointValue::Point(xr, yr) + } + } + } + } + + pub fn add(&self, other: &ECPoint) -> ECPoint { + assert_eq!(self.curve, other.curve); + match (&self.value, &other.value) { + (ECPointValue::Infinity, ECPointValue::Infinity) => + self.clone(), + (ECPointValue::Infinity, _) => + other.clone(), + (_, ECPointValue::Infinity) => + self.clone(), + (ECPointValue::Point(ref sx, ref sy), + ECPointValue::Point(ref ox, ref oy)) => { + let xdiff = sx - ox; + let ydiff = sy - oy; + let pu = self.curve.get_pu(); + let s = ydiff.divmod(&xdiff, &pu); + let mut xr = &s * &s; + xr -= sx; + xr -= ox; + xr = xr.reduce(&pu); + let mut yr = sx - &xr; + yr *= &s; + yr -= sy; + yr = yr.reduce(&pu); + let val = ECPointValue::Point(xr, yr); + ECPoint{ curve: self.curve, value: val } + } + } + } + + pub fn scale(&self, d: &UCN) -> ECPoint { + match self.value { + ECPointValue::Infinity => + self.clone(), + ECPointValue::Point(_, _) => { + if d.is_zero() { + return ECPoint::zero(self.curve); + } + + let mut q = self.clone(); + let i = d.bits() - 2; + let mut mask = UCN::from(1u64) << i; + + while !mask.is_zero() { + q = q.double(); + + let test = d & &mask; + if !test.is_zero() { + q = q.add(&self); + } + mask >>= 1; + } + + q + } + } + } +} +// +// pub fn bits2int(x: &[u8], qlen: usize) -> UCN { +// let mut value = UCN::from_bytes(x); +// let vlen = x.len() * 8; +// +// if vlen > qlen { +// value >>= vlen - qlen; +// } +// +// value +// } +// +// pub fn point_add_two_muls(k1: &UCN, p1: &ECCPoint, k2: &UCN, p2: &ECCPoint) +// -> ECCPoint +// { +// panic!("point_add_two_muls()") +// } +// +// #[cfg(test)] +// mod tests { +// use super::*; +// +// #[test] +// fn p256_double() { +// let xbytes = vec![0x7c, 0xf2, 0x7b, 0x18, 0x8d, 0x03, 0x4f, 0x7e, +// 0x8a, 0x52, 0x38, 0x03, 0x04, 0xb5, 0x1a, 0xc3, +// 0xc0, 0x89, 0x69, 0xe2, 0x77, 0xf2, 0x1b, 0x35, +// 0xa6, 0x0b, 0x48, 0xfc, 0x47, 0x66, 0x99, 0x78]; +// let ybytes = vec![0x07, 0x77, 0x55, 0x10, 0xdb, 0x8e, 0xd0, 0x40, +// 0x29, 0x3d, 0x9a, 0xc6, 0x9f, 0x74, 0x30, 0xdb, +// 0xba, 0x7d, 0xad, 0xe6, 0x3c, 0xe9, 0x82, 0x29, +// 0x9e, 0x04, 0xb7, 0x9d, 0x22, 0x78, 0x73, 0xd1]; +// let x = SCN::from(UCN::from_bytes(&xbytes)); +// let y = SCN::from(UCN::from_bytes(&ybytes)); +// let base = ECCPoint::default(&EllipticCurve::p256()); +// let res = base.double(); +// let goal = ECCPoint{ curve: base.curve, +// value: ECCPointValue::Point(x,y) }; +// assert_eq!(res, goal); +// } +// +// #[test] +// fn p256_add() { +// let xbytes = vec![0x5e, 0xcb, 0xe4, 0xd1, 0xa6, 0x33, 0x0a, 0x44, +// 0xc8, 0xf7, 0xef, 0x95, 0x1d, 0x4b, 0xf1, 0x65, +// 0xe6, 0xc6, 0xb7, 0x21, 0xef, 0xad, 0xa9, 0x85, +// 0xfb, 0x41, 0x66, 0x1b, 0xc6, 0xe7, 0xfd, 0x6c]; +// let ybytes = vec![0x87, 0x34, 0x64, 0x0c, 0x49, 0x98, 0xff, 0x7e, +// 0x37, 0x4b, 0x06, 0xce, 0x1a, 0x64, 0xa2, 0xec, +// 0xd8, 0x2a, 0xb0, 0x36, 0x38, 0x4f, 0xb8, 0x3d, +// 0x9a, 0x79, 0xb1, 0x27, 0xa2, 0x7d, 0x50, 0x32]; +// let x = SCN::from(UCN::from_bytes(&xbytes)); +// let y = SCN::from(UCN::from_bytes(&ybytes)); +// let base = ECCPoint::default(&EllipticCurve::p256()); +// let res = base.add(&base.double()); +// let goal = ECCPoint{ curve: base.curve, +// value: ECCPointValue::Point(x,y) }; +// assert_eq!(res, goal); +// } +// +// #[test] +// fn p256_scale() { +// let xbytes = vec![0xea, 0x68, 0xd7, 0xb6, 0xfe, 0xdf, 0x0b, 0x71, +// 0x87, 0x89, 0x38, 0xd5, 0x1d, 0x71, 0xf8, 0x72, +// 0x9e, 0x0a, 0xcb, 0x8c, 0x2c, 0x6d, 0xf8, 0xb3, +// 0xd7, 0x9e, 0x8a, 0x4b, 0x90, 0x94, 0x9e, 0xe0]; +// let ybytes = vec![0x2a, 0x27, 0x44, 0xc9, 0x72, 0xc9, 0xfc, 0xe7, +// 0x87, 0x01, 0x4a, 0x96, 0x4a, 0x8e, 0xa0, 0xc8, +// 0x4d, 0x71, 0x4f, 0xea, 0xa4, 0xde, 0x82, 0x3f, +// 0xe8, 0x5a, 0x22, 0x4a, 0x4d, 0xd0, 0x48, 0xfa]; +// let x = SCN::from(UCN::from_bytes(&xbytes)); +// let y = SCN::from(UCN::from_bytes(&ybytes)); +// let base = ECCPoint::default(&EllipticCurve::p256()); +// let res = base.scale(&UCN::from(9 as u64)); +// let goal = ECCPoint{ curve: base.curve, +// value: ECCPointValue::Point(x,y) }; +// assert_eq!(res, goal); +// } +// } diff --git a/src/ecdsa/private.rs b/src/ecdsa/private.rs index ffc2e5f..6be84b7 100644 --- a/src/ecdsa/private.rs +++ b/src/ecdsa/private.rs @@ -8,14 +8,16 @@ use hmac::Hmac; #[derive(Clone,Debug,PartialEq)] pub struct ECDSAPrivate { - pub(crate) curve: EllipticCurve, + pub(crate) curve: &'static EllipticCurve, pub(crate) d: UCN } impl ECDSAPrivate { - pub fn new(c: &EllipticCurve, d: &UCN) -> ECDSAPrivate { + pub fn new(c: &'static EllipticCurve, d: &UCN) + -> ECDSAPrivate + { ECDSAPrivate { - curve: c.clone(), + curve: c, d: d.clone() } } @@ -64,10 +66,10 @@ impl ECDSAPrivate { // // If r turns out to be zero, a new k should be selected and r // computed again (this is an utterly improbable occurrence). - let g = ECCPoint::default(&self.curve); + let g = ECCPoint::default(self.curve); let kg = g.scale(&k); let ni = SCN::from(self.curve.n.clone()); - let r = &kg.x % ∋ + let r = &kg.get_x() % ∋ if r.is_zero() { continue; } @@ -77,7 +79,7 @@ impl ECDSAPrivate { // // The pair (r, s) is the signature. let kinv = SCN::from(k.modinv(&ni.value)); - let s = ((SCN::from(h.clone()) + (&kg.x * &r)) * &kinv) % ∋ + let s = ((SCN::from(h.clone()) + (&kg.get_x() * &r)) * &kinv) % ∋ if s.is_zero() { continue; } diff --git a/src/ecdsa/public.rs b/src/ecdsa/public.rs index bbe73c7..ea20e3f 100644 --- a/src/ecdsa/public.rs +++ b/src/ecdsa/public.rs @@ -8,14 +8,16 @@ use hmac::Hmac; #[allow(non_snake_case)] #[derive(Clone,Debug,PartialEq)] pub struct ECDSAPublic { - pub(crate) curve: EllipticCurve, + pub(crate) curve: &'static EllipticCurve, pub(crate) Q: ECCPoint } impl ECDSAPublic { - pub fn new(curve: &EllipticCurve, point: &ECCPoint) -> ECDSAPublic { + pub fn new(curve: &'static EllipticCurve, point: &ECCPoint) + -> ECDSAPublic + { ECDSAPublic { - curve: curve.clone(), + curve: curve, Q: point.clone() } } @@ -49,11 +51,12 @@ impl ECDSAPublic { let u2 = (&sig.r * &c) % n; let x = point_add_two_muls(&u1, &ECCPoint::default(&self.curve), &u2, &self.Q); + let xx = x.get_x(); - if x.x.is_negative() { + if xx.is_negative() { return false; } - (x.x.value % n) == sig.r + (xx.value % n) == sig.r } } diff --git a/tests/ecdsa/Generator.java b/tests/ecdsa/Generator.java index 1d4c8dd..b83df1b 100644 --- a/tests/ecdsa/Generator.java +++ b/tests/ecdsa/Generator.java @@ -11,6 +11,10 @@ import java.lang.Math; import java.lang.Thread; import java.math.BigInteger; import java.security.SecureRandom; +import java.util.ArrayList; +import java.util.HashMap; +import java.util.Map; +import java.util.Random; import org.bouncycastle.asn1.nist.NISTNamedCurves; import org.bouncycastle.asn1.x9.X9ECParameters; import org.bouncycastle.crypto.AsymmetricCipherKeyPair; @@ -27,188 +31,288 @@ import org.bouncycastle.crypto.params.ECPrivateKeyParameters; import org.bouncycastle.crypto.params.ECPublicKeyParameters; import org.bouncycastle.crypto.signers.ECDSASigner; import org.bouncycastle.crypto.signers.HMacDSAKCalculator; +import org.bouncycastle.math.ec.ECAlgorithms; +import org.bouncycastle.math.ec.ECPoint; class Generator { - private FileWriter out; - private SecureRandom rng; + final static int COUNT = 500; - final static int NUM_THREADS = 4; - - public Generator(SecureRandom r, FileWriter o) { - rng = r; - out = o; - } - - public void runTests(String curveName, int count) + public static void main(String[] args) throws IOException, InterruptedException { - Thread threads[] = new Thread[NUM_THREADS]; + new Generator().run(); + } - System.out.print("Generating " + curveName + " tests "); - for(int i = 0; i < NUM_THREADS; i++) { - X9ECParameters x9ECParameters = NISTNamedCurves.getByName(curveName); - ECDomainParameters params = new ECDomainParameters(x9ECParameters.getCurve(), - x9ECParameters.getG(), - x9ECParameters.getN()); - Runner runner = new Runner(params, count / NUM_THREADS, this); - Thread runThread = new Thread(runner); - runThread.start(); - threads[i] = runThread; + public Generator() { } + + public void run() + throws IOException, InterruptedException + { + OutFiles outfiles = new OutFiles(); + String[] curves = { "P-192", "P-224", "P-256", "P-384", "P-521" }; + ArrayList threads = new ArrayList(); + + System.out.print("Generating: "); + for(String curve : curves) { + X9ECParameters params = NISTNamedCurves.getByName(curve); + ECDomainParameters dp = new ECDomainParameters(params.getCurve(), + params.getG(), + params.getN()); + Runner runner = new Runner(outfiles, dp); + Thread thread = new Thread(runner); + thread.start(); + threads.add(thread); } - for(Thread thread : threads) { + + for(Thread thread: threads) { thread.join(); } System.out.println(" done."); } - public synchronized void output(AsymmetricCipherKeyPair kp, - int digestsize, - byte[] message, - BigInteger[] rs) - throws IOException - { - ECPublicKeyParameters pub = (ECPublicKeyParameters)kp.getPublic(); - ECPrivateKeyParameters priv = (ECPrivateKeyParameters)kp.getPrivate(); - out.write("c: " + pub.getParameters().getCurve().getFieldSize() + "\n"); - out.write("x: " + pub.getQ().getAffineXCoord().toBigInteger().toString(16) + "\n"); - out.write("y: " + pub.getQ().getAffineYCoord().toBigInteger().toString(16) + "\n"); - out.write("d: " + priv.getD().toString(16) + "\n"); - out.write("h: " + digestsize + "\n"); - out.write("m: " + asHex(message) + "\n"); - out.write("r: " + rs[0].toString(16) + "\n"); - out.write("s: " + rs[1].toString(16) + "\n"); - out.flush(); - System.out.print("."); - System.out.flush(); - } + public class OutFiles { + public FileWriter negate; + public FileWriter dble; + public FileWriter add; + public FileWriter mul; + public FileWriter add2mul; + public FileWriter sig; - private Digest appropriateDigest(int nsize) - throws IOException - { - switch(nsize) { - case 1: return new SHA1Digest(); - case 160: return new SHA1Digest(); - case 224: return new SHA224Digest(); - case 256: return new SHA256Digest(); - case 384: return new SHA384Digest(); - case 512: return new SHA512Digest(); - default: - throw new IOException("Bad digest size!"); - } - } - - private int randomDigestSize() - throws IOException - { - switch(getRandomChoice(5)) { - case 0: return 1; - case 1: return 224; - case 2: return 256; - case 3: return 384; - case 4: return 512; - default: - throw new IOException("The world broke."); - } - } - - private int getRandomChoice(int modulus) { - byte randoms[] = new byte[2]; - rng.nextBytes(randoms); - int random = ((int)randoms[0] << 8) + ((int)randoms[1]); - return (Math.abs(random) % modulus); - } - - private String asHex(byte[] data) { - String result = ""; - - for(byte value : data) { - result = result + String.format("%02x", value); - } - - return result; - } - - public static void main(String[] args) - throws IOException, InterruptedException - { - SecureRandom rng = new SecureRandom(); - FileWriter outfile = new FileWriter("signature.test", false); - Generator gen = new Generator(rng, outfile); - - gen.runTests("P-192", 500); - gen.runTests("P-224", 500); - gen.runTests("P-256", 500); - gen.runTests("P-384", 500); - gen.runTests("P-521", 500); - } - - private class Runner implements Runnable { - private ECDomainParameters params; - private int count; - private Generator parent; - - public Runner(ECDomainParameters params, int count, Generator parent) + public OutFiles() { - this.params = params; - this.count = count; - this.parent = parent; - } - - public void run() - { - for(int i = 0; i < count; i++) { - runTest(); + try { + negate = new FileWriter("ec_negate.test", false); + dble = new FileWriter("ec_dble.test", false); + add = new FileWriter("ec_add.test", false); + mul = new FileWriter("ec_mul.test", false); + add2mul = new FileWriter("ec_add2mul.test", false); + sig = new FileWriter("signature.test", false); + } catch(IOException e) { + System.out.println("Blech: " + e); } } - private AsymmetricCipherKeyPair getKeyPair() - { - ECKeyGenerationParameters params = - new ECKeyGenerationParameters(this.params, this.parent.rng); - ECKeyPairGenerator keygen = new ECKeyPairGenerator(); - keygen.init(params); - return keygen.generateKeyPair(); + public synchronized void dump(FileWriter file, Map x) { + try { + for(Map.Entry entry : x.entrySet()) { + file.write(entry.getKey()); + file.write(": "); + file.write(entry.getValue()); + file.write("\n"); + file.flush(); + + if(file == negate) { System.out.print("N"); }; + if(file == dble) { System.out.print("D"); }; + if(file == add) { System.out.print("A"); }; + if(file == mul) { System.out.print("M"); }; + if(file == add2mul) { System.out.print("2"); }; + if(file == sig) { System.out.print("S"); }; + System.out.flush(); + } + } catch(IOException e) { + System.out.println("Argh: " + e); + } + } + } + + public class Runner implements Runnable { + private OutFiles outfiles; + private SecureRandom rng; + private ECDomainParameters ecparams; + private BigInteger two; + + public Runner(OutFiles outfiles, ECDomainParameters params) { + this.outfiles = outfiles; + this.ecparams = params; + this.rng = new SecureRandom(); + this.two = BigInteger.valueOf(2); } - private byte[] getMessage() - { - int msgsize = getRandomChoice(1024); - byte message[] = new byte[msgsize]; - rng.nextBytes(message); - return message; + public void run() { + for(int i = 0; i < COUNT; i++) { generateNegateTests(); } + for(int i = 0; i < COUNT; i++) { generateDoubleTests(); } + for(int i = 0; i < COUNT; i++) { generateAddTests(); } + for(int i = 0; i < COUNT; i++) { generateMulTests(); } + for(int i = 0; i < COUNT; i++) { generateAdd2MulTests(); } + for(int i = 0; i < COUNT; i++) { generateSignatureTests(); } } - private byte[] runHash(byte[] msg, int digestsize) - throws IOException - { - Digest digestfn = appropriateDigest(digestsize); + public void generateNegateTests() { + ECPoint p = getPoint(); + ECPoint n = p.negate().normalize(); + HashMap m = new HashMap(); + + m.put("c", Integer.toString(ecparams.getN().bitLength())); + m.put("x", p.getAffineXCoord().toBigInteger().toString(16)); + m.put("y", p.getAffineYCoord().toBigInteger().toString(16)); + m.put("a", n.getAffineXCoord().toBigInteger().toString(16)); + m.put("b", n.getAffineYCoord().toBigInteger().toString(16)); + outfiles.dump(outfiles.negate, m); + } + + public void generateDoubleTests() { + ECPoint p = getPoint(); + ECPoint n = p.twice().normalize(); + HashMap m = new HashMap(); + + m.put("c", Integer.toString(ecparams.getN().bitLength())); + m.put("x", p.getAffineXCoord().toBigInteger().toString(16)); + m.put("y", p.getAffineYCoord().toBigInteger().toString(16)); + m.put("a", n.getAffineXCoord().toBigInteger().toString(16)); + m.put("b", n.getAffineYCoord().toBigInteger().toString(16)); + outfiles.dump(outfiles.dble, m); + } + + public void generateAddTests() { + ECPoint p1 = getPoint(); + ECPoint p2 = getPoint(); + ECPoint q = p1.add(p2).normalize(); + HashMap m = new HashMap(); + + m.put("c", Integer.toString(ecparams.getN().bitLength())); + m.put("x", p1.getAffineXCoord().toBigInteger().toString(16)); + m.put("y", p1.getAffineYCoord().toBigInteger().toString(16)); + m.put("q", p2.getAffineXCoord().toBigInteger().toString(16)); + m.put("r", p2.getAffineYCoord().toBigInteger().toString(16)); + m.put("a", q.getAffineXCoord().toBigInteger().toString(16)); + m.put("b", q.getAffineYCoord().toBigInteger().toString(16)); + outfiles.dump(outfiles.add, m); + } + + public void generateMulTests() { + ECPoint p = getPoint(); + BigInteger k = getConstant(); + ECPoint q = p.multiply(k).normalize(); + HashMap m = new HashMap(); + + m.put("c", Integer.toString(ecparams.getN().bitLength())); + m.put("x", p.getAffineXCoord().toBigInteger().toString(16)); + m.put("y", p.getAffineYCoord().toBigInteger().toString(16)); + m.put("k", k.toString(16)); + m.put("a", q.getAffineXCoord().toBigInteger().toString(16)); + m.put("b", q.getAffineYCoord().toBigInteger().toString(16)); + outfiles.dump(outfiles.mul, m); + } + + public void generateAdd2MulTests() { + ECPoint p = getPoint(); + BigInteger a = getConstant(); + ECPoint q = getPoint(); + BigInteger b = getConstant(); + ECPoint r = ECAlgorithms.sumOfTwoMultiplies(p,a,q,b).normalize(); + HashMap m = new HashMap(); + + m.put("c", Integer.toString(ecparams.getN().bitLength())); + m.put("x", p.getAffineXCoord().toBigInteger().toString(16)); + m.put("y", p.getAffineYCoord().toBigInteger().toString(16)); + m.put("a", a.toString(16)); + m.put("q", q.getAffineXCoord().toBigInteger().toString(16)); + m.put("r", q.getAffineYCoord().toBigInteger().toString(16)); + m.put("b", b.toString(16)); + m.put("s", r.getAffineXCoord().toBigInteger().toString(16)); + m.put("t", r.getAffineYCoord().toBigInteger().toString(16)); + outfiles.dump(outfiles.add2mul, m); + } + + public void generateSignatureTests() { + AsymmetricCipherKeyPair kp = getKeyPair(); + ECPublicKeyParameters pub = (ECPublicKeyParameters)kp.getPublic(); + ECPrivateKeyParameters priv = (ECPrivateKeyParameters)kp.getPrivate(); + byte message[] = getMessage(); + int digestsize = getDigestSize(); + byte hash[] = runHash(message, digestsize); + Digest msgdigest = getHash(digestsize); + HMacDSAKCalculator kgen = new HMacDSAKCalculator(msgdigest); + ECDSASigner signer = new ECDSASigner(kgen); + signer.init(true, priv); + BigInteger rs[] = signer.generateSignature(hash); + HashMap m = new HashMap(); + + m.put("c", Integer.toString(ecparams.getN().bitLength())); + m.put("x", pub.getQ().getAffineXCoord().toBigInteger().toString(16)); + m.put("y", pub.getQ().getAffineYCoord().toBigInteger().toString(16)); + m.put("d", priv.getD().toString(16)); + m.put("h", Integer.toString(digestsize)); + m.put("m", asHex(message)); + m.put("r", rs[0].toString(16)); + m.put("s", rs[1].toString(16)); + outfiles.dump(outfiles.sig, m); + } + + private byte[] runHash(byte[] msg, int size) { + Digest digestfn = getHash(size); digestfn.update(msg, 0, msg.length); byte result[] = new byte[digestfn.getDigestSize()]; digestfn.doFinal(result, 0); return result; } - private void runTest() - { - try { - AsymmetricCipherKeyPair kp = getKeyPair(); - ECPublicKeyParameters pub = (ECPublicKeyParameters)kp.getPublic(); - ECPrivateKeyParameters priv = (ECPrivateKeyParameters)kp.getPrivate(); + private AsymmetricCipherKeyPair getKeyPair() { + ECKeyGenerationParameters params = + new ECKeyGenerationParameters(ecparams, rng); + ECKeyPairGenerator keygen = new ECKeyPairGenerator(); + keygen.init(params); + return keygen.generateKeyPair(); + } - byte message[] = getMessage(); - int digestsize = randomDigestSize(); - byte hash[] = runHash(message, digestsize); + private byte[] getMessage() { + int msgsize = rng.nextInt(1024); + byte message[] = new byte[msgsize]; + rng.nextBytes(message); + return message; + } - Digest msgdigest = appropriateDigest(digestsize); - HMacDSAKCalculator kgen = new HMacDSAKCalculator(msgdigest); - ECDSASigner signer = new ECDSASigner(kgen); - signer.init(true, priv); - BigInteger rs[] = signer.generateSignature(hash); - parent.output(kp, digestsize, message, rs); - } catch(IOException exc) { - System.out.println("EXCEPTION!"); - run(); + private ECPoint getPoint() { + BigInteger k = getConstant(); + return ecparams.getG().multiply(k).normalize(); + } + + private BigInteger getConstant() { + BigInteger n = ecparams.getN(); + int nBitLength = n.bitLength(); + + for(;;) { + BigInteger d = new BigInteger(nBitLength, rng); + + if(d.compareTo(two) < 0 || (d.compareTo(n) >= 0)) { + continue; + } + + return d; } } - } + + private int getDigestSize() { + switch(rng.nextInt(5)) { + case 0: return 1; + case 1: return 224; + case 2: return 256; + case 3: return 384; + case 4: return 512; + default: + return 999; + } + } + + private Digest getHash(int nsize) { + switch(nsize) { + case 1: return new SHA1Digest(); + case 224: return new SHA1Digest(); + case 256: return new SHA1Digest(); + case 384: return new SHA1Digest(); + case 512: return new SHA1Digest(); + default: + return null; + } + } + + private String asHex(byte[] data) { + String result = ""; + for(byte value : data) { + result = result + String.format("%02x", value); + } + return result; + } + } + } diff --git a/tests/ecdsa/ec_add.test b/tests/ecdsa/ec_add.test new file mode 100644 index 0000000..3e1d67d --- /dev/null +++ b/tests/ecdsa/ec_add.test @@ -0,0 +1,17500 @@ +q: 1711dd7a4aba6333812fb514f351f509cfa3e709a2c815bc +a: b4d6b583421654e826b7d70bd934e0fc44129f495a3ff96b +r: dbaf7eae389847cf3542e4995b00333e038da3600449595e +b: f02d1557f834ea56e7d57c0401c0badd31b709f221363d24 +c: 192 +x: a297be26c8e586774c1633a7f62695e91ef300eedbedb793 +y: 5af346bf6cce379cdd3981fe9eb2c3129f16576e8438a113 +q: 44a406356cc18bc4e0ce2467d8ac75494c5c4477de3bcca5 +a: a48b0a144c725aa713b2ad1b1715fc853a5e5462f3d04949 +r: efb98b79bc6341711b20dccb423fccb3845d80a7acece788 +b: b0f02cb6732682431b5dee7588e0144f9f6751a9d59a2bb3 +c: 192 +x: 9c2c1cf44c724643aeb7634c9f80d549af637afa10a153f0 +y: 5916d086a75ada7804449640fb89f2734171331e644fa6d6 +q: 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