More NIST curves (#142)

Co-authored-by: Pratyush Mishra <pratyushmishra@berkeley.edu>

secp256r1/src/curves/mod.rs

@@ -0,0 +1,50 @@
+use ark_ec::{
+    models::CurveConfig,
+    short_weierstrass::{self as sw, SWCurveConfig},
+};
+use ark_ff::{Field, MontFp};
+
+use crate::{fq::Fq, fr::Fr};
+
+#[cfg(test)]
+mod tests;
+
+pub type Affine = sw::Affine<Config>;
+pub type Projective = sw::Projective<Config>;
+
+#[derive(Copy, Clone, Default, PartialEq, Eq)]
+pub struct Config;
+
+impl CurveConfig for Config {
+    type BaseField = Fq;
+    type ScalarField = Fr;
+
+    /// COFACTOR = 1
+    const COFACTOR: &'static [u64] = &[0x1];
+
+    /// COFACTOR_INV = COFACTOR^{-1} mod r = 1
+    #[rustfmt::skip]
+    const COFACTOR_INV: Fr =  Fr::ONE;
+}
+
+impl SWCurveConfig for Config {
+    /// COEFF_A = -3
+    const COEFF_A: Fq = MontFp!("-3");
+
+    /// COEFF_B = 41058363725152142129326129780047268409114441015993725554835256314039467401291
+    const COEFF_B: Fq =
+        MontFp!("41058363725152142129326129780047268409114441015993725554835256314039467401291");
+
+    /// GENERATOR = (G_GENERATOR_X, G_GENERATOR_Y)
+    const GENERATOR: Affine = Affine::new_unchecked(G_GENERATOR_X, G_GENERATOR_Y);
+}
+
+/// G_GENERATOR_X =
+/// 0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296
+pub const G_GENERATOR_X: Fq =
+    MontFp!("48439561293906451759052585252797914202762949526041747995844080717082404635286");
+
+/// G_GENERATOR_Y =
+/// 0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5
+pub const G_GENERATOR_Y: Fq =
+    MontFp!("36134250956749795798585127919587881956611106672985015071877198253568414405109");

secp256r1/src/curves/tests.rs

@@ -0,0 +1,4 @@
+use crate::Projective;
+use ark_algebra_test_templates::*;
+
+test_group!(g1; Projective; sw);