Renamed add_nocarry and sub_noborrow for curves

adding SW parameters for Bandersnatch curve (#67 )
Co-authored-by: Pratyush Mishra <pratyushmishra@berkeley.edu>
2026-01-27 14:13:46 +01:00 · 2021-10-21 12:24:02 -07:00 · 2021-10-20 10:12:15 -07:00 · 2021-10-19 11:30:41 -07:00 · 2021-09-25 10:34:13 -07:00 · 2021-06-30 20:14:37 -07:00
59 changed files with 1901 additions and 281 deletions
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -29,8 +29,8 @@ jobs:
        command: fmt
        args: --all -- --check

-  test:
-    name: Test
+  check:
+    name: Check
    runs-on: ubuntu-latest
    env:
      RUSTFLAGS: -Dwarnings
@@ -78,13 +78,39 @@ jobs:
            args: --all-features --examples --workspace --benches
        if: matrix.rust == 'nightly'

-      - name: Test
-        uses: actions-rs/cargo@v1
-        with:
-            command: test
-            args: "--workspace \
-                   --all-features \
-                   --exclude curve-benches"
+      
+
+  directories: # Job that list subdirectories
+    name: List directories for parallelizing tests
+    runs-on: ubuntu-latest
+    outputs:
+      dir: ${{ steps.set-dirs.outputs.dir }} # generate output name dir by using inner step output
+    steps:
+      - uses: actions/checkout@v2
+      - id: set-dirs # Give it an id to handle to get step outputs in the outputs key above
+        run: echo "::set-output name=dir::$(ls -d */ | jq -R -s -c 'split("\n")[:-1]')"
+        # Define step output named dir base on ls command transformed to JSON thanks to jq
+  test:
+    name: Test
+    runs-on: ubuntu-latest
+    needs: [directories] # Depends on previous job
+    strategy:
+      matrix:
+        dir: ${{fromJson(needs.directories.outputs.dir)}} # List matrix strategy from directories dynamically
+        # rust:
+        #   - stable
+        #   - nightly
+        exclude:
+          - dir: scripts/
+          - dir: curve-constraint-tests/
+          - dir: curve-benches/
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v2
+      - name: Run tests
+        run: |
+          cd ${{matrix.dir}}
+          cargo test --all-features

  docs:
    name: Check Documentation
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,9 +1,42 @@
+# CHANGELOG
+
+## Pending
+
+- [\#76](https://github.com/arkworks-rs/curves/pull/76) twisted Edwards parameters for bls12-377
+
+### Breaking changes
+
+### Features
+
+### Improvements
+
+- [\#74](https://github.com/arkworks-rs/curves/pull/74) Use Scott's subgroup membership tests for `G1` and `G2` of BLS12-381.
+
+### Bug fixes
+
+## v0.3.0 
+
+### Breaking changes
+
+- [\#60](https://github.com/arkworks-rs/curves/pull/60) Change the scalar group generator of `Fr` of `bls12_377` Fr from `11` to `22`.
+- [\#61](https://github.com/arkworks-rs/curves/pull/61) Remove `ATE_LOOP_COUNT_IS_NEGATIVE` from BN254 curve parameter.
+
+### Features
+
+- [\#64](https://github.com/arkworks-rs/curves/pull/64) Implement the Bandersnatch curve, another twisted Edwards curve for BLS12-381.
+
+### Improvements
+
+### Bug fixes
+
 ## v0.2.0

 ### Breaking changes
+
 - Requires all crates from `arkworks-rs/algebra` to have version `v0.2.0` or greater.

 ### Features
+
 - [\#3](https://github.com/arkworks-rs/curves/pull/3) Add constraints for
        `ark-bls12-377`,
        `ark-ed-on-bls12-377`,
@@ -19,11 +52,14 @@
        `ark-mnt6-753`.
 - [\#7](https://github.com/arkworks-rs/curves/pull/7) Add benchmarks for Edwards curves.
 - [\#19](https://github.com/arkworks-rs/curves/pull/19) Change field constants to be provided as normal strings, instead of in Montgomery form.
+- [\#53](https://github.com/arkworks-rs/curves/pull/53) Add benchmarks for Pallas and Vesta curves.

 ### Improvements
+
 - [\#42](https://github.com/arkworks-rs/curves/pull/42) Remove the dependency of `rand_xorshift`.

 ### Bug fixes
+
 - [\#28](https://github.com/arkworks-rs/curves/pull/28), [\#49](https://github.com/arkworks-rs/curves/pull/49) Fix broken documentation links.
 - [\#38](https://github.com/arkworks-rs/curves/pull/38) Compile with `panic='abort'` in release mode, for safety of the library across FFI boundaries.
 - [\#45](https://github.com/arkworks-rs/curves/pull/45) Fix `ark-ed-on-mnt4-753`.
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -15,6 +15,7 @@ members = [

    "bls12_381",
    "ed_on_bls12_381",
+    "ed_on_bls12_381_bandersnatch",

    "bn254",
    "ed_on_bn254",
@@ -31,11 +32,6 @@ members = [
    "vesta",
 ]

-[patch.'https://github.com/arkworks-rs/algebra']
-ark-ff = { path = '../algebra/ff' }
-ark-ec = { path = '../algebra/ec' }
-ark-serialize = { path = '../algebra/serialize' }
-
 [profile.release]
 opt-level = 3
 lto = "thin"
@@ -60,3 +56,9 @@ lto = "thin"
 incremental = true
 debug-assertions = true
 debug = true
+
+# To be removed in the new release.
+[patch.crates-io]
+ark-ec = { git = "https://github.com/arkworks-rs/algebra" }
+ark-ff = { git = "https://github.com/arkworks-rs/algebra" }
+ark-serialize = { git = "https://github.com/arkworks-rs/algebra" }
--- a/README.md
+++ b/README.md
@@ -5,6 +5,7 @@ This repository contains implementations of some popular elliptic curves. The cu
 ### BLS12-381 and embedded curves
 * [`ark-bls12-381`](bls12_381): Implements the BLS12-381 pairing-friendly curve
 * [`ark-ed-on-bls12-381`](ed_on_bls12_381): Implements a Twisted Edwards curve atop the scalar field of BLS12-381
+* [`ark-ed-on-bls12-381-bandersnatch`](ed_on_bls12_381_bandersnatch): Implements Bandersnatch, another Twisted Edwards curve atop the scalar field of BLS12-381

 ### BLS12-377 and related curves
 * [`ark-bls12-377`](bls12_377): Implements the BLS12-377 pairing-friendly curve
--- a/bls12_377/Cargo.toml
+++ b/bls12_377/Cargo.toml
@@ -1,10 +1,10 @@
 [package]
 name = "ark-bls12-377"
-version = "0.2.0"
+version = "0.3.0"
 authors = [ "arkworks contributors" ]
 description = "The BLS12-377 pairing-friendly elliptic curve"
 homepage = "https://arkworks.rs"
-repository = "https://github.com/arkworks-rs/algebra"
+repository = "https://github.com/arkworks-rs/curves"
 documentation = "https://docs.rs/ark-bls12-377/"
 keywords = ["cryptography", "finite-fields", "elliptic-curves" ]
 categories = ["cryptography"]
@@ -13,16 +13,16 @@ license = "MIT/Apache-2.0"
 edition = "2018"

 [dependencies]
-ark-ff = { version="^0.2.0", default-features = false }
-ark-ec = { version="^0.2.0", default-features = false }
-ark-r1cs-std = { version="^0.2.0", default-features = false, optional = true }
-ark-std = { version="^0.2.0", default-features = false }
+ark-ff = { version="^0.3.0", default-features = false }
+ark-ec = { version="^0.3.0", default-features = false }
+ark-r1cs-std = { version="^0.3.0", default-features = false, optional = true }
+ark-std = { version="^0.3.0", default-features = false }

 [dev-dependencies]
-ark-relations = { version="^0.2.0", default-features = false }
-ark-serialize = { version="^0.2.0", default-features = false }
-ark-algebra-test-templates = { version="^0.2.0", default-features = false }
-ark-curve-constraint-tests = { version="^0.2.0", path = "../curve-constraint-tests", default-features = false }
+ark-relations = { version="^0.3.0", default-features = false }
+ark-serialize = { version="^0.3.0", default-features = false }
+ark-algebra-test-templates = { version="^0.3.0", default-features = false }
+ark-curve-constraint-tests = { path = "../curve-constraint-tests", default-features = false }

 [features]
 default = [ "curve" ]
--- a/bls12_377/src/constraints/curves.rs
+++ b/bls12_377/src/constraints/curves.rs
@@ -1,11 +1,22 @@
 use crate::Parameters;
-use ark_r1cs_std::groups::bls12;
+use ark_ec::bls12::Bls12Parameters;
+use ark_ec::ModelParameters;
+use ark_r1cs_std::{
+    fields::fp::FpVar,
+    groups::{bls12, curves::twisted_edwards::AffineVar as TEAffineVar},
+};

 /// An element of G1 in the BLS12-377 bilinear group.
 pub type G1Var = bls12::G1Var<Parameters>;
 /// An element of G2 in the BLS12-377 bilinear group.
 pub type G2Var = bls12::G2Var<Parameters>;

+/// An element of G1 (in TE Affine form) in the BLS12-377 bilinear group.
+pub type G1TEAffineVar = TEAffineVar<
+    <Parameters as Bls12Parameters>::G1Parameters,
+    FpVar<<<Parameters as Bls12Parameters>::G1Parameters as ModelParameters>::BaseField>,
+>;
+
 /// Represents the cached precomputation that can be performed on a G1 element
 /// which enables speeding up pairing computation.
 pub type G1PreparedVar = bls12::G1PreparedVar<Parameters>;
@@ -21,6 +32,11 @@ fn test() {
        G1Var,
    >()
    .unwrap();
+    ark_curve_constraint_tests::curves::te_test::<
+        <Parameters as Bls12Parameters>::G1Parameters,
+        G1TEAffineVar,
+    >()
+    .unwrap();
    ark_curve_constraint_tests::curves::sw_test::<
        <Parameters as Bls12Parameters>::G2Parameters,
        G2Var,
--- a/bls12_377/src/curves/g1.rs
+++ b/bls12_377/src/curves/g1.rs
@@ -1,5 +1,11 @@
-use ark_ec::models::{ModelParameters, SWModelParameters};
+use ark_ec::models::{
+    twisted_edwards_extended::{
+        GroupAffine as TEGroupAffine, GroupProjective as TEGroupProjective,
+    },
+    ModelParameters, MontgomeryModelParameters, SWModelParameters, TEModelParameters,
+};
 use ark_ff::{field_new, Zero};
+use core::ops::Neg;

 use crate::{
    fields::{FQ_ONE, FQ_ZERO},
@@ -40,6 +46,129 @@ impl SWModelParameters for Parameters {
    }
 }

+pub type G1TEAffine = TEGroupAffine<Parameters>;
+pub type G1TEProjective = TEGroupProjective<Parameters>;
+
+/// Bls12_377::G1 also has a twisted Edwards form.
+/// It can be obtained via the following script, implementing
+/// 1. SW -> Montgomery -> TE1 transformation: <https://en.wikipedia.org/wiki/Montgomery_curve>
+/// 2. TE1 -> TE2 normalization (enforcing `a = -1`)
+/// ``` sage
+///
+/// # modulus
+/// p = 0x1ae3a4617c510eac63b05c06ca1493b1a22d9f300f5138f1ef3622fba094800170b5d44300000008508c00000000001
+/// Fp = Zmod(p)
+///
+/// #####################################################
+/// # Weierstrass curve: y² = x³ + A * x + B
+/// #####################################################
+/// # curve y^2 = x^3 + 1
+/// WA = Fp(0)
+/// WB = Fp(1)
+///
+/// #####################################################
+/// # Montgomery curve: By² = x³ + A * x² + x
+/// #####################################################
+/// # root for x^3 + 1 = 0
+/// alpha = -1
+/// # s = 1 / (sqrt(3alpha^2 + a))
+/// s = 1/(Fp(3).sqrt())
+///
+/// # MA = 3 * alpha * s
+/// MA = Fp(228097355113300204138531148905234651262148041026195375645000724271212049151994375092458297304264351187709081232384)
+/// # MB = s
+/// MB = Fp(10189023633222963290707194929886294091415157242906428298294512798502806398782149227503530278436336312243746741931)
+///
+/// # #####################################################
+/// # # Twisted Edwards curve 1: a * x² + y² = 1 + d * x² * y²
+/// # #####################################################
+/// # We first convert to TE form obtaining a curve with a != -1, and then
+/// # apply a transformation to obtain a TE curve with a = -1.
+/// # a = (MA+2)/MB
+/// TE1a = Fp(61134141799337779744243169579317764548490943457438569789767076791016838392692895365021181670618017873462480451583)
+/// # b = (MA-2)/MB
+/// TE1d = Fp(197530284213631314266409564115575768987902569297476090750117185875703629955647927409947706468955342250977841006588)
+///
+/// # #####################################################
+/// # # Twisted Edwards curve 2: a * x² + y² = 1 + d * x² * y²
+/// # #####################################################
+/// # a = -1
+/// TE2a = Fp(-1)
+/// # b = -TE1d/TE1a
+/// TE2d = Fp(122268283598675559488486339158635529096981886914877139579534153582033676785385790730042363341236035746924960903179)
+///
+/// ```
+impl TEModelParameters for Parameters {
+    /// COEFF_A = -1
+    const COEFF_A: Fq = field_new!(Fq, "-1");
+
+    /// COEFF_D = 122268283598675559488486339158635529096981886914877139579534153582033676785385790730042363341236035746924960903179 mod q
+    #[rustfmt::skip]
+    const COEFF_D: Fq = field_new!(Fq, "122268283598675559488486339158635529096981886914877139579534153582033676785385790730042363341236035746924960903179");
+
+    /// COFACTOR = (x - 1)^2 / 3  = 30631250834960419227450344600217059328
+    const COFACTOR: &'static [u64] = &[0x0, 0x170b5d4430000000];
+
+    /// COFACTOR_INV = COFACTOR^{-1} mod r
+    /// = 5285428838741532253824584287042945485047145357130994810877
+    #[rustfmt::skip]
+    const COFACTOR_INV: Fr = field_new!(Fr, "5285428838741532253824584287042945485047145357130994810877");
+
+    /// AFFINE_GENERATOR_COEFFS = (GENERATOR_X, GENERATOR_Y)
+    const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) =
+        (TE_GENERATOR_X, TE_GENERATOR_Y);
+
+    type MontgomeryModelParameters = Parameters;
+
+    /// Multiplication by `a` is multiply by `-1`.
+    #[inline(always)]
+    fn mul_by_a(elem: &Self::BaseField) -> Self::BaseField {
+        elem.neg()
+    }
+}
+
+// BLS12-377::G1 also has a Montgomery form.
+// BLS12-377::G1 also has a twisted Edwards form.
+// It can be obtained via the following script, implementing
+// SW -> Montgomery transformation: <https://en.wikipedia.org/wiki/Montgomery_curve>
+// ``` sage
+//
+// # modulus
+// p=0x1ae3a4617c510eac63b05c06ca1493b1a22d9f300f5138f1ef3622fba094800170b5d44300000008508c00000000001
+// Fp=Zmod(p)
+//
+// #####################################################
+// # Weierstrass curve: y² = x³ + A * x + B
+// #####################################################
+// # curve y^2 = x^3 + 1
+// WA=Fp(0)
+// WB=Fp(1)
+//
+// #####################################################
+// # Montgomery curve: By² = x³ + A * x² + x
+// #####################################################
+// # root for x^3 + 1 = 0
+// alpha = -1
+// # s = 1 / (sqrt(3alpha^2 + a))
+// s = 1/(Fp(3).sqrt())
+//
+// # MA = 3 * alpha * s
+// MA=Fp(228097355113300204138531148905234651262148041026195375645000724271212049151994375092458297304264351187709081232384)
+// # MB = s
+// MB=Fp(10189023633222963290707194929886294091415157242906428298294512798502806398782149227503530278436336312243746741931)
+// ```
+impl MontgomeryModelParameters for Parameters {
+    /// COEFF_A = 228097355113300204138531148905234651262148041026195375645000724271212049151994375092458297304264351187709081232384
+    #[rustfmt::skip]
+    const COEFF_A: Fq = field_new!(Fq, "228097355113300204138531148905234651262148041026195375645000724271212049151994375092458297304264351187709081232384");
+
+    /// COEFF_B = 10189023633222963290707194929886294091415157242906428298294512798502806398782149227503530278436336312243746741931
+    #[rustfmt::skip]
+    const COEFF_B: Fq = field_new!(Fq, "10189023633222963290707194929886294091415157242906428298294512798502806398782149227503530278436336312243746741931");
+
+    type TEModelParameters = Parameters;
+}
+
 /// G1_GENERATOR_X =
 /// 81937999373150964239938255573465948239988671502647976594219695644855304257327692006745978603320413799295628339695
 #[rustfmt::skip]
@@ -49,3 +178,56 @@ pub const G1_GENERATOR_X: Fq = field_new!(Fq, "819379993731509642399382555734659
 /// 241266749859715473739788878240585681733927191168601896383759122102112907357779751001206799952863815012735208165030
 #[rustfmt::skip]
 pub const G1_GENERATOR_Y: Fq = field_new!(Fq, "241266749859715473739788878240585681733927191168601896383759122102112907357779751001206799952863815012735208165030");
+
+// The generator for twisted Edward form is the same SW generator converted into the normalized TE form (TE2).
+// ``` sage
+// # following scripts in previous section
+// #####################################################
+// # Weierstrass curve generator
+// #####################################################
+// Wx = Fp(81937999373150964239938255573465948239988671502647976594219695644855304257327692006745978603320413799295628339695)
+// Wy = Fp(241266749859715473739788878240585681733927191168601896383759122102112907357779751001206799952863815012735208165030)
+//
+// assert(Wy^2 - Wx^3 - WA * Wx - WB == 0)
+//
+// #####################################################
+// # Montgomery curve generator
+// #####################################################
+// # x = s * (x - alpha)
+// Mx = Fp(251803586774461569862800610331871502335378228972505599912537082323947581271784390797244487924068052270360793200630)
+// # y = s * y
+// My = Fp(77739247071951651095607889637653357561348174979132042929587539214321586851215673796661346812932566642719051699820)
+//
+// assert(MB * My^2 == Mx^3+ MA * Mx^2 + Mx)
+//
+// # #####################################################
+// # # Twisted Edwards curve 1 generator
+// # #####################################################
+// # x = Mx/My
+// TE1x = Fp(82241236807150726090333472814441006963902378430536027612759193445733851062772474760677400112551677454953925168208)
+// # y = (Mx - 1)/(Mx+1)
+// TE1y = Fp(6177051365529633638563236407038680211609544222665285371549726196884440490905471891908272386851767077598415378235)
+//
+// assert( TE1a * TE1x^2 + TE1y^2 == 1 + TE1d * TE1x^2 * TE1y^2 )
+//
+//
+// # #####################################################
+// # # Twisted Edwards curve 2 generator
+// # #####################################################
+// beta = (-TE1a).sqrt()
+// # x = TE1x * sqrt(-TE1a)
+// TE2x = Fp(71222569531709137229370268896323705690285216175189308202338047559628438110820800641278662592954630774340654489393)
+// # y = TE1y
+// TE2y = Fp(6177051365529633638563236407038680211609544222665285371549726196884440490905471891908272386851767077598415378235)
+//
+// assert( TE2a * TE2x^2 + TE2y^2 == 1 + TE2d * TE2x^2 * TE2y^2 )
+// ```
+/// TE_GENERATOR_X =
+/// 71222569531709137229370268896323705690285216175189308202338047559628438110820800641278662592954630774340654489393
+#[rustfmt::skip]
+pub const TE_GENERATOR_X: Fq = field_new!(Fq, "71222569531709137229370268896323705690285216175189308202338047559628438110820800641278662592954630774340654489393");
+
+/// TE_GENERATOR_Y =
+/// 6177051365529633638563236407038680211609544222665285371549726196884440490905471891908272386851767077598415378235
+#[rustfmt::skip]
+pub const TE_GENERATOR_Y: Fq = field_new!(Fq, "6177051365529633638563236407038680211609544222665285371549726196884440490905471891908272386851767077598415378235");
--- a/bls12_377/src/curves/mod.rs
+++ b/bls12_377/src/curves/mod.rs
@@ -31,3 +31,5 @@ pub type G1Affine = bls12::G1Affine<Parameters>;
 pub type G1Projective = bls12::G1Projective<Parameters>;
 pub type G2Affine = bls12::G2Affine<Parameters>;
 pub type G2Projective = bls12::G2Projective<Parameters>;
+
+pub use g1::{G1TEAffine, G1TEProjective};
--- a/bls12_377/src/curves/tests.rs
+++ b/bls12_377/src/curves/tests.rs
@@ -1,19 +1,22 @@
 #![allow(unused_imports)]
+use crate::{
+    g1, g2, Bls12_377, Fq, Fq12, Fq2, Fr, G1Affine, G1Projective, G1TEProjective, G2Affine,
+    G2Projective,
+};
+use ark_ec::{
+    models::SWModelParameters, short_weierstrass_jacobian, AffineCurve, PairingEngine,
+    ProjectiveCurve,
+};
 use ark_ff::{
    fields::{Field, FpParameters, PrimeField, SquareRootField},
    One, Zero,
 };
 use ark_serialize::CanonicalSerialize;
-use ark_std::test_rng;
-
-use ark_ec::{models::SWModelParameters, AffineCurve, PairingEngine, ProjectiveCurve};
-use ark_std::rand::Rng;
+use ark_std::{rand::Rng, test_rng};
 use core::ops::{AddAssign, MulAssign};

-use crate::{g1, g2, Bls12_377, Fq, Fq12, Fq2, Fr, G1Affine, G1Projective, G2Affine, G2Projective};
-
 use ark_algebra_test_templates::{
-    curves::{curve_tests, sw_tests},
+    curves::{curve_tests, edwards_tests, sw_tests},
    groups::group_test,
 };

@@ -22,6 +25,7 @@ fn test_g1_projective_curve() {
    curve_tests::<G1Projective>();

    sw_tests::<g1::Parameters>();
+    edwards_tests::<g1::Parameters>();
 }

 #[test]
@@ -30,6 +34,10 @@ fn test_g1_projective_group() {
    let a: G1Projective = rng.gen();
    let b: G1Projective = rng.gen();
    group_test(a, b);
+
+    let c = rng.gen();
+    let d = rng.gen();
+    group_test::<G1TEProjective>(c, d);
 }

 #[test]
--- a/bls12_377/src/fields/fr.rs
+++ b/bls12_377/src/fields/fr.rs
@@ -1,3 +1,24 @@
+//! Bls12-377 scalar field.
+///
+/// Roots of unity computed from modulus and R using this sage code:
+///
+/// ```ignore
+/// q = 8444461749428370424248824938781546531375899335154063827935233455917409239041
+/// R = 6014086494747379908336260804527802945383293308637734276299549080986809532403 # Montgomery R
+/// s = 47
+/// o = q - 1
+/// F = GF(q)
+/// g = F.multiplicative_generator()
+/// g = F.multiplicative_generator()
+/// assert g.multiplicative_order() == o
+/// g2 = g ** (o/2**s)
+/// assert g2.multiplicative_order() == 2**s
+/// def into_chunks(val, width, n):
+///     return [int(int(val) // (2 ** (width * i)) % 2 ** width) for i in range(n)]
+/// print("Gen: ", g * R % q)
+/// print("Gen: ", into_chunks(g * R % q, 64, 4))
+/// print("2-adic gen: ", into_chunks(g2 * R % q, 64, 4))
+/// ```
 use ark_ff::{biginteger::BigInteger256 as BigInteger, fields::*};

 pub type Fr = Fp256<FrParameters>;
@@ -12,10 +33,10 @@ impl FftParameters for FrParameters {

    #[rustfmt::skip]
    const TWO_ADIC_ROOT_OF_UNITY: BigInteger = BigInteger([
-        0x3c3d3ca739381fb2,
-        0x9a14cda3ec99772b,
-        0xd7aacc7c59724826,
-        0xd1ba211c5cc349c,
+        12646347781564978760u64,
+        6783048705277173164u64,
+        268534165941069093u64,
+        1121515446318641358u64,
    ]);
 }
 impl FpParameters for FrParameters {
@@ -53,15 +74,16 @@ impl FpParameters for FrParameters {

    const INV: u64 = 725501752471715839u64;

-    /// GENERATOR = 11
+    /// GENERATOR = 22
    /// Encoded in Montgomery form, so the value is
-    /// (11 * R) % q = 7043719196222586021957094278335006679584931048936630243748405699433040183146
+    /// (22 * R) % q =
+    /// 5642976643016801619665363617888466827793962762719196659561577942948671127251
    #[rustfmt::skip]
    const GENERATOR: BigInteger = BigInteger([
-        1855201571499933546u64,
-        8511318076631809892u64,
-        6222514765367795509u64,
-        1122129207579058019u64,
+        2984901390528151251u64,
+        10561528701063790279u64,
+        5476750214495080041u64,
+        898978044469942640u64,
    ]);

    /// (r - 1)/2 =
--- a/bls12_377/src/fields/tests.rs
+++ b/bls12_377/src/fields/tests.rs
@@ -7,8 +7,7 @@ use ark_ff::{
    One, UniformRand, Zero,
 };
 use ark_serialize::{buffer_bit_byte_size, CanonicalSerialize};
-use ark_std::rand::Rng;
-use ark_std::test_rng;
+use ark_std::{rand::Rng, test_rng};
 use core::{
    cmp::Ordering,
    ops::{AddAssign, MulAssign, SubAssign},
--- a/bls12_381/Cargo.toml
+++ b/bls12_381/Cargo.toml
@@ -1,10 +1,10 @@
 [package]
 name = "ark-bls12-381"
-version = "0.2.0"
+version = "0.3.0"
 authors = [ "arkworks contributors" ]
 description = "The BLS12-381 pairing-friendly elliptic curve"
 homepage = "https://arkworks.rs"
-repository = "https://github.com/arkworks-rs/algebra"
+repository = "https://github.com/arkworks-rs/curves"
 documentation = "https://docs.rs/ark-bls12-381/"
 keywords = ["cryptography", "finite-fields", "elliptic-curves" ]
 categories = ["cryptography"]
@@ -13,13 +13,13 @@ license = "MIT/Apache-2.0"
 edition = "2018"

 [dependencies]
-ark-ff = { version="^0.2.0", default-features = false }
-ark-ec = { version="^0.2.0", default-features = false }
-ark-std = { version="^0.2.0", default-features = false }
+ark-ff = { version="^0.3.0", default-features = false }
+ark-ec = { version="^0.3.0", default-features = false }
+ark-std = { version="^0.3.0", default-features = false }

 [dev-dependencies]
-ark-serialize = { version="^0.2.0", default-features = false }
-ark-algebra-test-templates = { version="^0.2.0", default-features = false }
+ark-serialize = { version="^0.3.0", default-features = false }
+ark-algebra-test-templates = { version="^0.3.0", default-features = false }

 [features]
 default = [ "curve" ]
--- a/bls12_381/src/curves/g1.rs
+++ b/bls12_381/src/curves/g1.rs
@@ -1,9 +1,13 @@
 use crate::*;
 use ark_ec::{
    bls12,
+    bls12::Bls12Parameters,
    models::{ModelParameters, SWModelParameters},
+    short_weierstrass_jacobian::GroupAffine,
+    AffineCurve, ProjectiveCurve,
 };
-use ark_ff::{field_new, Zero};
+use ark_ff::{biginteger::BigInteger256, field_new, Zero};
+use ark_std::ops::Neg;

 pub type G1Affine = bls12::G1Affine<crate::Parameters>;
 pub type G1Projective = bls12::G1Projective<crate::Parameters>;
@@ -40,6 +44,25 @@ impl SWModelParameters for Parameters {
    fn mul_by_a(_: &Self::BaseField) -> Self::BaseField {
        Self::BaseField::zero()
    }
+
+    fn is_in_correct_subgroup_assuming_on_curve(p: &GroupAffine<Parameters>) -> bool {
+        // Algorithm from Section 6 of https://eprint.iacr.org/2021/1130.
+        //
+        // Check that endomorphism_p(P) == -[X^2]P
+
+        let x = BigInteger256::new([crate::Parameters::X[0], 0, 0, 0]);
+
+        // An early-out optimization described in Section 6.
+        // If uP == P but P != point of infinity, then the point is not in the right subgroup.
+        let x_times_p = p.mul(x);
+        if x_times_p.eq(p) && !p.infinity {
+            return false;
+        }
+
+        let minus_x_squared_times_p = x_times_p.mul(x).neg();
+        let endomorphism_p = endomorphism(p);
+        minus_x_squared_times_p.eq(&endomorphism_p)
+    }
 }

 /// G1_GENERATOR_X =
@@ -51,3 +74,14 @@ pub const G1_GENERATOR_X: Fq = field_new!(Fq, "368541675371338701678108831518307
 /// 1339506544944476473020471379941921221584933875938349620426543736416511423956333506472724655353366534992391756441569
 #[rustfmt::skip]
 pub const G1_GENERATOR_Y: Fq = field_new!(Fq, "1339506544944476473020471379941921221584933875938349620426543736416511423956333506472724655353366534992391756441569");
+
+/// BETA is a non-trivial cubic root of unity in Fq.
+pub const BETA: Fq = field_new!(Fq, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350");
+
+pub fn endomorphism(p: &GroupAffine<Parameters>) -> GroupAffine<Parameters> {
+    // Endomorphism of the points on the curve.
+    // endomorphism_p(x,y) = (BETA * x, y) where BETA is a non-trivial cubic root of unity in Fq.
+    let mut res = (*p).clone();
+    res.x *= BETA;
+    res
+}
--- a/bls12_381/src/curves/g2.rs
+++ b/bls12_381/src/curves/g2.rs
@@ -1,9 +1,12 @@
 use crate::*;
+use ark_ec::bls12::Bls12Parameters;
 use ark_ec::{
    bls12,
    models::{ModelParameters, SWModelParameters},
+    short_weierstrass_jacobian::GroupAffine,
+    AffineCurve,
 };
-use ark_ff::{field_new, Zero};
+use ark_ff::{biginteger::BigInteger256, field_new, Field, Zero};

 pub type G2Affine = bls12::G2Affine<crate::Parameters>;
 pub type G2Projective = bls12::G2Projective<crate::Parameters>;
@@ -51,6 +54,21 @@ impl SWModelParameters for Parameters {
    fn mul_by_a(_: &Self::BaseField) -> Self::BaseField {
        Self::BaseField::zero()
    }
+
+    fn is_in_correct_subgroup_assuming_on_curve(point: &GroupAffine<Parameters>) -> bool {
+        // Algorithm from Section 4 of https://eprint.iacr.org/2021/1130.
+        //
+        // Checks that [p]P = [X]P
+
+        let mut x_times_point = point.mul(BigInteger256([crate::Parameters::X[0], 0, 0, 0]));
+        if crate::Parameters::X_IS_NEGATIVE {
+            x_times_point = -x_times_point;
+        }
+
+        let p_times_point = p_power_endomorphism(point);
+
+        x_times_point.eq(&p_times_point)
+    }
 }

 pub const G2_GENERATOR_X: Fq2 = field_new!(Fq2, G2_GENERATOR_X_C0, G2_GENERATOR_X_C1);
@@ -75,3 +93,52 @@ pub const G2_GENERATOR_Y_C0: Fq = field_new!(Fq, "198515060228729193556805452117
 /// 927553665492332455747201965776037880757740193453592970025027978793976877002675564980949289727957565575433344219582
 #[rustfmt::skip]
 pub const G2_GENERATOR_Y_C1: Fq = field_new!(Fq, "927553665492332455747201965776037880757740193453592970025027978793976877002675564980949289727957565575433344219582");
+
+// psi(x,y) = (x**p * PSI_X, y**p * PSI_Y) is the Frobenius composed
+// with the quadratic twist and its inverse
+
+// PSI_X = 1/(u+1)^((p-1)/3)
+pub const P_POWER_ENDOMORPHISM_COEFF_0 : Fq2 = field_new!(
+    Fq2,
+    FQ_ZERO,
+    field_new!(
+       Fq,
+       "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939437"
+    )
+);
+
+// PSI_Y = 1/(u+1)^((p-1)/2)
+pub const P_POWER_ENDOMORPHISM_COEFF_1: Fq2 = field_new!(
+    Fq2,
+    field_new!(
+       Fq,
+       "2973677408986561043442465346520108879172042883009249989176415018091420807192182638567116318576472649347015917690530"),
+    field_new!(
+       Fq,
+       "1028732146235106349975324479215795277384839936929757896155643118032610843298655225875571310552543014690878354869257")
+);
+
+pub fn p_power_endomorphism(p: &GroupAffine<Parameters>) -> GroupAffine<Parameters> {
+    // The p-power endomorphism for G2 is defined as follows:
+    // 1. Note that G2 is defined on curve E': y^2 = x^3 + 4(u+1). To map a point (x, y) in E' to (s, t) in E,
+    //    one set s = x / ((u+1) ^ (1/3)), t = y / ((u+1) ^ (1/2)), because E: y^2 = x^3 + 4.
+    // 2. Apply the Frobenius endomorphism (s, t) => (s', t'), another point on curve E,
+    //    where s' = s^p, t' = t^p.
+    // 3. Map the point from E back to E'; that is,
+    //    one set x' = s' * ((u+1) ^ (1/3)), y' = t' * ((u+1) ^ (1/2)).
+    //
+    // To sum up, it maps
+    // (x,y) -> (x^p / ((u+1)^((p-1)/3)), y^p / ((u+1)^((p-1)/2)))
+    // as implemented in the code as follows.
+
+    let mut res = *p;
+    res.x.frobenius_map(1);
+    res.y.frobenius_map(1);
+
+    let tmp_x = res.x.clone();
+    res.x.c0 = -P_POWER_ENDOMORPHISM_COEFF_0.c1 * &tmp_x.c1;
+    res.x.c1 = P_POWER_ENDOMORPHISM_COEFF_0.c1 * &tmp_x.c0;
+    res.y *= P_POWER_ENDOMORPHISM_COEFF_1;
+
+    res
+}
--- a/bls12_381/src/curves/tests.rs
+++ b/bls12_381/src/curves/tests.rs
@@ -1,8 +1,12 @@
 #![allow(unused_imports)]
-use ark_ec::{models::SWModelParameters, AffineCurve, PairingEngine, ProjectiveCurve};
+use ark_ec::{
+    models::SWModelParameters,
+    short_weierstrass_jacobian::{GroupAffine, GroupProjective},
+    AffineCurve, PairingEngine, ProjectiveCurve,
+};
 use ark_ff::{
    fields::{Field, FpParameters, PrimeField, SquareRootField},
-    One, Zero,
+    BitIteratorBE, One, UniformRand, Zero,
 };
 use ark_serialize::CanonicalSerialize;
 use ark_std::rand::Rng;
@@ -11,6 +15,7 @@ use core::ops::{AddAssign, MulAssign};

 use crate::{g1, g2, Bls12_381, Fq, Fq12, Fq2, Fr, G1Affine, G1Projective, G2Affine, G2Projective};
 use ark_algebra_test_templates::{curves::*, groups::*};
+use ark_ec::group::Group;

 #[test]
 fn test_g1_projective_curve() {
@@ -115,3 +120,54 @@ fn test_g1_generator_raw() {
        x.add_assign(&Fq::one());
    }
 }
+
+#[test]
+fn test_g1_endomorphism_beta() {
+    assert!(g1::BETA.pow(&[3u64]).is_one());
+}
+
+#[test]
+fn test_g1_subgroup_membership_via_endomorphism() {
+    let mut rng = test_rng();
+    let generator = G1Projective::rand(&mut rng).into_affine();
+    assert!(generator.is_in_correct_subgroup_assuming_on_curve());
+}
+
+#[test]
+fn test_g1_subgroup_non_membership_via_endomorphism() {
+    let mut rng = test_rng();
+    loop {
+        let x = Fq::rand(&mut rng);
+        let greatest = rng.gen();
+
+        if let Some(p) = G1Affine::get_point_from_x(x, greatest) {
+            if !p.into_projective().mul(Fr::characteristic()).is_zero() {
+                assert!(!p.is_in_correct_subgroup_assuming_on_curve());
+                return;
+            }
+        }
+    }
+}
+
+#[test]
+fn test_g2_subgroup_membership_via_endomorphism() {
+    let mut rng = test_rng();
+    let generator = G2Projective::rand(&mut rng).into_affine();
+    assert!(generator.is_in_correct_subgroup_assuming_on_curve());
+}
+
+#[test]
+fn test_g2_subgroup_non_membership_via_endomorphism() {
+    let mut rng = test_rng();
+    loop {
+        let x = Fq2::rand(&mut rng);
+        let greatest = rng.gen();
+
+        if let Some(p) = G2Affine::get_point_from_x(x, greatest) {
+            if !p.into_projective().mul(Fr::characteristic()).is_zero() {
+                assert!(!p.is_in_correct_subgroup_assuming_on_curve());
+                return;
+            }
+        }
+    }
+}
--- a/bls12_381/src/fields/tests.rs
+++ b/bls12_381/src/fields/tests.rs
@@ -1004,7 +1004,7 @@ fn test_fq_repr_num_bits() {
 }

 #[test]
-fn test_fq_repr_sub_noborrow() {
+fn test_fq_repr_sub_ret_borrow() {
    let mut rng = ark_std::test_rng();

    let mut t = BigInteger384([
@@ -1015,7 +1015,7 @@ fn test_fq_repr_sub_noborrow() {
        0xad0eb3948a5c34fd,
        0xd56f7b5ab8b5ce8,
    ]);
-    t.sub_noborrow(&BigInteger384([
+    t.sub_ret_borrow(&BigInteger384([
        0xc7867917187ca02b,
        0x5d75679d4911ffef,
        0x8c5b3e48b1a71c15,
@@ -1050,12 +1050,12 @@ fn test_fq_repr_sub_noborrow() {
        assert!(b < c);

        let mut csub_ba = c;
-        csub_ba.sub_noborrow(&b);
-        csub_ba.sub_noborrow(&a);
+        csub_ba.sub_ret_borrow(&b);
+        csub_ba.sub_ret_borrow(&a);

        let mut csub_ab = c;
-        csub_ab.sub_noborrow(&a);
-        csub_ab.sub_noborrow(&b);
+        csub_ab.sub_ret_borrow(&a);
+        csub_ab.sub_ret_borrow(&b);

        assert_eq!(csub_ab, csub_ba);
    }
@@ -1069,7 +1069,7 @@ fn test_fq_repr_sub_noborrow() {
        0x4b1ba7b6434bacd7,
        0x1a0111ea397fe69a,
    ]);
-    qplusone.sub_noborrow(&BigInteger384([
+    qplusone.sub_ret_borrow(&BigInteger384([
        0xb9feffffffffaaac,
        0x1eabfffeb153ffff,
        0x6730d2a0f6b0f624,
@@ -1091,7 +1091,7 @@ fn test_fq_repr_sub_noborrow() {
 }

 #[test]
-fn test_fq_repr_add_nocarry() {
+fn test_fq_repr_add_ret_carry() {
    let mut rng = ark_std::test_rng();

    let mut t = BigInteger384([
@@ -1102,7 +1102,7 @@ fn test_fq_repr_add_nocarry() {
        0xad0eb3948a5c34fd,
        0xd56f7b5ab8b5ce8,
    ]);
-    t.add_nocarry(&BigInteger384([
+    t.add_ret_carry(&BigInteger384([
        0xc7867917187ca02b,
        0x5d75679d4911ffef,
        0x8c5b3e48b1a71c15,
@@ -1133,28 +1133,28 @@ fn test_fq_repr_add_nocarry() {
        c.0[5] >>= 3;

        let mut abc = a;
-        abc.add_nocarry(&b);
-        abc.add_nocarry(&c);
+        abc.add_ret_carry(&b);
+        abc.add_ret_carry(&c);

        let mut acb = a;
-        acb.add_nocarry(&c);
-        acb.add_nocarry(&b);
+        acb.add_ret_carry(&c);
+        acb.add_ret_carry(&b);

        let mut bac = b;
-        bac.add_nocarry(&a);
-        bac.add_nocarry(&c);
+        bac.add_ret_carry(&a);
+        bac.add_ret_carry(&c);

        let mut bca = b;
-        bca.add_nocarry(&c);
-        bca.add_nocarry(&a);
+        bca.add_ret_carry(&c);
+        bca.add_ret_carry(&a);

        let mut cab = c;
-        cab.add_nocarry(&a);
-        cab.add_nocarry(&b);
+        cab.add_ret_carry(&a);
+        cab.add_ret_carry(&b);

        let mut cba = c;
-        cba.add_nocarry(&b);
-        cba.add_nocarry(&a);
+        cba.add_ret_carry(&b);
+        cba.add_ret_carry(&a);

        assert_eq!(abc, acb);
        assert_eq!(abc, bac);
@@ -1172,7 +1172,7 @@ fn test_fq_repr_add_nocarry() {
        0xffffffffffffffff,
        0xffffffffffffffff,
    ]);
-    x.add_nocarry(&BigInteger384::from(1));
+    x.add_ret_carry(&BigInteger384::from(1));
    assert!(x.is_zero());
 }

--- a/bn254/Cargo.toml
+++ b/bn254/Cargo.toml
@@ -1,10 +1,10 @@
 [package]
 name = "ark-bn254"
-version = "0.2.0"
+version = "0.3.0"
 authors = [ "arkworks contributors" ]
 description = "The BN254 pairing-friendly elliptic curve"
 homepage = "https://arkworks.rs"
-repository = "https://github.com/arkworks-rs/algebra"
+repository = "https://github.com/arkworks-rs/curves"
 documentation = "https://docs.rs/ark-bn254/"
 keywords = ["cryptography", "finite-fields", "elliptic-curves" ]
 categories = ["cryptography"]
@@ -13,13 +13,13 @@ license = "MIT/Apache-2.0"
 edition = "2018"

 [dependencies]
-ark-ff = { version="^0.2.0", default-features = false }
-ark-ec = { version="^0.2.0", default-features = false }
-ark-std = { version="^0.2.0", default-features = false }
+ark-ff = { version="^0.3.0", default-features = false }
+ark-ec = { version="^0.3.0", default-features = false }
+ark-std = { version="^0.3.0", default-features = false }

 [dev-dependencies]
-ark-serialize = { version="^0.2.0", default-features = false }
-ark-algebra-test-templates = { version="^0.2.0", default-features = false }
+ark-serialize = { version="^0.3.0", default-features = false }
+ark-algebra-test-templates = { version="^0.3.0", default-features = false }

 [features]
 default = [ "curve" ]
--- a/bn254/src/curves/mod.rs
+++ b/bn254/src/curves/mod.rs
@@ -21,8 +21,6 @@ impl BnParameters for Parameters {
        0, 1, 1, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, 0, 0, -1, 0, 0, 0, 1, 1, 0,
        -1, 0, 0, 1, 0, 1, 1,
    ];
-    /// `ate_loop_count` is positive.
-    const ATE_LOOP_COUNT_IS_NEGATIVE: bool = false;

    const TWIST_MUL_BY_Q_X: Fq2 = field_new!(
        Fq2,
--- a/bn254/src/fields/fq.rs
+++ b/bn254/src/fields/fq.rs
@@ -19,7 +19,7 @@ impl FftParameters for FqParameters {
    ]);
 }
 impl FpParameters for FqParameters {
-    /// MODULUS = 258664426012969094010652733694893533536393512754914660539884262666720468348340822774968888139573360124440321458177
+    /// MODULUS = 21888242871839275222246405745257275088696311157297823662689037894645226208583
    #[rustfmt::skip]
    const MODULUS: BigInteger = BigInteger([
        0x3c208c16d87cfd47,
@@ -82,7 +82,7 @@ impl FpParameters for FqParameters {
    ]);

    // (T - 1) // 2 =
-    // 1837921289030710838195067919506396475074392872918698035817074744121558668640693829665401097909504529
+    // 5472060717959818805561601436314318772174077789324455915672259473661306552145
    #[rustfmt::skip]
    const T_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
        0x4f082305b61f3f51,
--- a/bn254/src/fields/fr.rs
+++ b/bn254/src/fields/fr.rs
@@ -34,6 +34,8 @@ impl FpParameters for FrParameters {

    const REPR_SHAVE_BITS: u32 = 2;

+    /// R = pow(2, 320) % MODULUS
+    ///   = 6350874878119819312338956282401532410528162663560392320966563075034087161851
    #[rustfmt::skip]
    const R: BigInteger = BigInteger([
        12436184717236109307u64,
@@ -42,6 +44,8 @@ impl FpParameters for FrParameters {
        1011752739694698287u64,
    ]);

+    /// R2 = R * R % MODULUS
+    ///    = 944936681149208446651664254269745548490766851729442924617792859073125903783
    #[rustfmt::skip]
    const R2: BigInteger = BigInteger([
        1997599621687373223u64,
@@ -50,9 +54,10 @@ impl FpParameters for FrParameters {
        150537098327114917u64,
    ]);

+    /// INV = (-MODULUS) ^ {-1} % pow(2, 64) = 14042775128853446655
    const INV: u64 = 14042775128853446655u64;

-    // GENERATOR = 5
+    /// GENERATOR = 5
    #[rustfmt::skip]
    const GENERATOR: BigInteger = BigInteger([
        1949230679015292902u64,
@@ -61,7 +66,7 @@ impl FpParameters for FrParameters {
        1571765431670520771u64,
    ]);

-    /// (r - 1)/2 =
+    /// (MODULUS - 1)/2 =
    /// 10944121435919637611123202872628637544274182200208017171849102093287904247808
    #[rustfmt::skip]
    const MODULUS_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
@@ -73,7 +78,7 @@ impl FpParameters for FrParameters {

    // T and T_MINUS_ONE_DIV_TWO, where r - 1 = 2^s * t

-    /// t = (r - 1) / 2^s =
+    /// T = (MODULUS - 1) / 2^s =
    /// 81540058820840996586704275553141814055101440848469862132140264610111
    #[rustfmt::skip]
    const T: BigInteger = BigInteger([
@@ -83,7 +88,7 @@ impl FpParameters for FrParameters {
        0x30644e72e,
    ]);

-    /// (t - 1) / 2 =
+    /// (T - 1) / 2 =
    /// 40770029410420498293352137776570907027550720424234931066070132305055
    #[rustfmt::skip]
    const T_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
--- a/bn254/src/lib.rs
+++ b/bn254/src/lib.rs
@@ -26,7 +26,7 @@
 //! * valuation(r - 1, 2) = 28
 //! * G1 curve equation: y^2 = x^3 + 3
 //! * G2 curve equation: y^2 = x^3 + B, where
-//!    * B = 3/(u+9) where Fq2\[u\]=Fq/u+1
+//!    * B = 3/(u+9) where Fq2 is represented as Fq\[u\]/(u^2+1)
 //!        = Fq2(19485874751759354771024239261021720505790618469301721065564631296452457478373, 266929791119991161246907387137283842545076965332900288569378510910307636690)

 #[cfg(feature = "curve")]
--- a/bw6_761/Cargo.toml
+++ b/bw6_761/Cargo.toml
@@ -1,10 +1,10 @@
 [package]
 name = "ark-bw6-761"
-version = "0.2.0"
+version = "0.3.0"
 authors = [ "arkworks contributors" ]
 description = "The BW6-761 pairing-friendly elliptic curve"
 homepage = "https://arkworks.rs"
-repository = "https://github.com/arkworks-rs/algebra"
+repository = "https://github.com/arkworks-rs/curves"
 documentation = "https://docs.rs/ark-bw6-761/"
 keywords = ["cryptography", "finite-fields", "elliptic-curves" ]
 categories = ["cryptography"]
@@ -13,14 +13,14 @@ license = "MIT/Apache-2.0"
 edition = "2018"

 [dependencies]
-ark-ff = { version="^0.2.0", default-features = false }
-ark-ec = { version="^0.2.0", default-features = false }
-ark-std = { version="^0.2.0", default-features = false }
-ark-bls12-377 = { version="^0.2.0", path = "../bls12_377", default-features = false, features = [ "base_field" ] }
+ark-ff = { version="^0.3.0", default-features = false }
+ark-ec = { version="^0.3.0", default-features = false }
+ark-std = { version="^0.3.0", default-features = false }
+ark-bls12-377 = { version="^0.3.0", path = "../bls12_377", default-features = false, features = [ "base_field" ] }

 [dev-dependencies]
-ark-serialize = { version="^0.2.0", default-features = false }
-ark-algebra-test-templates = { version="^0.2.0", default-features = false }
+ark-serialize = { version="^0.3.0", default-features = false }
+ark-algebra-test-templates = { version="^0.3.0", default-features = false }

 [features]
 default = []
--- a/cp6_782/Cargo.toml
+++ b/cp6_782/Cargo.toml
@@ -1,10 +1,10 @@
 [package]
 name = "ark-cp6-782"
-version = "0.2.0"
+version = "0.3.0"
 authors = [ "arkworks contributors" ]
 description = "The CP6-782 pairing-friendly elliptic curve"
 homepage = "https://arkworks.rs"
-repository = "https://github.com/arkworks-rs/algebra"
+repository = "https://github.com/arkworks-rs/curves"
 documentation = "https://docs.rs/ark-cp6-782/"
 keywords = ["cryptography", "finite-fields", "elliptic-curves" ]
 categories = ["cryptography"]
@@ -13,14 +13,14 @@ license = "MIT/Apache-2.0"
 edition = "2018"

 [dependencies]
-ark-ff = { version = "^0.2.0", default-features = false }
-ark-ec = { version = "^0.2.0", default-features = false }
-ark-std = { version = "^0.2.0", default-features = false }
-ark-bls12-377 = { version = "^0.2.0", path = "../bls12_377", default-features = false, features = [ "base_field" ] }
+ark-ff = { version = "^0.3.0", default-features = false }
+ark-ec = { version = "^0.3.0", default-features = false }
+ark-std = { version = "^0.3.0", default-features = false }
+ark-bls12-377 = { version = "^0.3.0", path = "../bls12_377", default-features = false, features = [ "base_field" ] }

 [dev-dependencies]
-ark-serialize = { version = "^0.2.0", default-features = false }
-ark-algebra-test-templates = { version = "^0.2.0", default-features = false }
+ark-serialize = { version = "^0.3.0", default-features = false }
+ark-algebra-test-templates = { version = "^0.3.0", default-features = false }

 [features]
 default = []
--- a/curve-benches/Cargo.toml
+++ b/curve-benches/Cargo.toml
@@ -1,17 +1,18 @@
 [package]
 name = "ark-curve-benches"
-version = "0.2.0"
+version = "0.3.0"
 authors = [
    "Sean Bowe",
    "Alessandro Chiesa",
    "Matthew Green",
    "Ian Miers",
    "Pratyush Mishra",
-    "Howard Wu"
+    "Howard Wu",
+    "Daira Hopwood"
 ]
 description = "A benchmark library for finite fields and elliptic curves"
 homepage = "https://arkworks.rs"
-repository = "https://github.com/arkworks-rs/algebra"
+repository = "https://github.com/arkworks-rs/curves"
 documentation = "https://docs.rs/algebra/"
 keywords = ["cryptography", "finite-fields", "elliptic-curves", "pairing"]
 categories = ["cryptography"]
@@ -27,10 +28,10 @@ build = "build.rs"
 bencher = { version = "0.1.5" }

 [dev-dependencies]
-ark-std = { version = "^0.2.0", default-features = false }
-ark-ec = { version = "^0.2.0", default-features = false }
-ark-ff = { version = "^0.2.0", default-features = false }
-ark-serialize = { version = "^0.2.0", default-features = false }
+ark-std = { version = "^0.3.0", default-features = false }
+ark-ec = { version = "^0.3.0", default-features = false }
+ark-ff = { version = "^0.3.0", default-features = false }
+ark-serialize = { version = "^0.3.0", default-features = false }

 ark-mnt4-298 = { path = "../mnt4_298" }
 ark-mnt6-298 = { path = "../mnt6_298" }
@@ -42,6 +43,8 @@ ark-bls12-381 = { path = "../bls12_381" }
 ark-ed-on-bls12-381 = { path = "../ed_on_bls12_381" }
 ark-bw6-761 = { path = "../bw6_761" }
 ark-cp6-782 = { path = "../cp6_782" }
+ark-pallas = { path = "../pallas" }
+ark-vesta = { path = "../vesta" }

 [features]
 asm = [ "ark-ff/asm"]
@@ -100,3 +103,13 @@ harness = false
 name = "mnt6_753"
 path = "benches/mnt6_753.rs"
 harness = false
+
+[[bench]]
+name = "pallas"
+path = "benches/pallas.rs"
+harness = false
+
+[[bench]]
+name = "vesta"
+path = "benches/vesta.rs"
+harness = false
--- a/curve-benches/benches/pallas.rs
+++ b/curve-benches/benches/pallas.rs
@@ -0,0 +1,19 @@
+use ark_curve_benches::*;
+use ark_std::ops::{AddAssign, MulAssign, SubAssign};
+
+use ark_ec::ProjectiveCurve;
+use ark_ff::{
+    biginteger::{BigInteger256 as FrRepr, BigInteger256 as FqRepr},
+    BigInteger, Field, PrimeField, SquareRootField, UniformRand,
+};
+use ark_pallas::{fq::Fq, fr::Fr, Affine as GAffine, Projective as G};
+
+mod g {
+    use super::*;
+    ec_bench!(G, GAffine);
+}
+
+f_bench!(Fq, Fq, FqRepr, FqRepr, fq);
+f_bench!(Fr, Fr, FrRepr, FrRepr, fr);
+
+bencher::benchmark_main!(fq, fr, g::group_ops);
--- a/curve-benches/benches/vesta.rs
+++ b/curve-benches/benches/vesta.rs
@@ -0,0 +1,19 @@
+use ark_curve_benches::*;
+use ark_std::ops::{AddAssign, MulAssign, SubAssign};
+
+use ark_ec::ProjectiveCurve;
+use ark_ff::{
+    biginteger::{BigInteger256 as FrRepr, BigInteger256 as FqRepr},
+    BigInteger, Field, PrimeField, SquareRootField, UniformRand,
+};
+use ark_vesta::{fq::Fq, fr::Fr, Affine as GAffine, Projective as G};
+
+mod g {
+    use super::*;
+    ec_bench!(G, GAffine);
+}
+
+f_bench!(Fq, Fq, FqRepr, FqRepr, fq);
+f_bench!(Fr, Fr, FrRepr, FrRepr, fr);
+
+bencher::benchmark_main!(fq, fr, g::group_ops);
--- a/curve-benches/src/macros/ec.rs
+++ b/curve-benches/src/macros/ec.rs
@@ -196,6 +196,32 @@ macro_rules! ec_bench {
            });
        }

+        fn deser_uncompressed(b: &mut $crate::bencher::Bencher) {
+            use ark_ec::ProjectiveCurve;
+            use ark_serialize::{CanonicalDeserialize, CanonicalSerialize};
+            const SAMPLES: usize = 1000;
+
+            let mut rng = ark_std::test_rng();
+
+            let mut num_bytes = 0;
+            let tmp = <$projective>::rand(&mut rng).into_affine();
+            let v: Vec<_> = (0..SAMPLES)
+                .flat_map(|_| {
+                    let mut bytes = Vec::with_capacity(1000);
+                    tmp.serialize_uncompressed(&mut bytes).unwrap();
+                    num_bytes = bytes.len();
+                    bytes
+                })
+                .collect();
+
+            let mut count = 0;
+            b.iter(|| {
+                count = (count + 1) % SAMPLES;
+                let index = count * num_bytes;
+                <$affine>::deserialize_uncompressed(&v[index..(index + num_bytes)]).unwrap()
+            });
+        }
+
        fn msm_131072(b: &mut $crate::bencher::Bencher) {
            use ark_serialize::{CanonicalDeserialize, CanonicalSerialize};
            const SAMPLES: usize = 131072;
@@ -224,6 +250,7 @@ macro_rules! ec_bench {
            deser,
            ser_unchecked,
            deser_unchecked,
+            deser_uncompressed,
            msm_131072,
        );
    };
--- a/curve-benches/src/macros/field.rs
+++ b/curve-benches/src/macros/field.rs
@@ -24,8 +24,8 @@ macro_rules! f_bench {
                // sqrt field stuff
                sqrt,
                // prime field stuff
-                repr_add_nocarry,
-                repr_sub_noborrow,
+                repr_add_ret_carry,
+                repr_sub_ret_borrow,
                repr_num_bits,
                repr_mul2,
                repr_div2,
@@ -322,7 +322,7 @@ macro_rules! sqrt {
 #[macro_export]
 macro_rules! prime_field {
    ($f:ident, $f_type:ty, $f_repr:ident, $f_repr_type:ty) => {
-        fn repr_add_nocarry(b: &mut $crate::bencher::Bencher) {
+        fn repr_add_ret_carry(b: &mut $crate::bencher::Bencher) {
            const SAMPLES: usize = 1000;

            let mut rng = ark_std::test_rng();
@@ -343,13 +343,13 @@ macro_rules! prime_field {
            let mut count = 0;
            b.iter(|| {
                let mut tmp = v[count].0;
-                n_fold!(tmp, v, add_nocarry, count);
+                n_fold!(tmp, v, add_ret_carry, count);
                count = (count + 1) % SAMPLES;
                tmp
            });
        }

-        fn repr_sub_noborrow(b: &mut $crate::bencher::Bencher) {
+        fn repr_sub_ret_borrow(b: &mut $crate::bencher::Bencher) {
            const SAMPLES: usize = 1000;

            let mut rng = ark_std::test_rng();
@@ -369,7 +369,7 @@ macro_rules! prime_field {
            let mut count = 0;
            b.iter(|| {
                let mut tmp = v[count].0;
-                n_fold!(tmp, v, sub_noborrow, count);
+                n_fold!(tmp, v, sub_ret_borrow, count);
                count = (count + 1) % SAMPLES;
                tmp;
            });
@@ -448,7 +448,7 @@ macro_rules! prime_field {
            let mut count = 0;
            b.iter(|| {
                count = (count + 1) % SAMPLES;
-                $f::from(v[count]);
+                let _ = $f::from(v[count]);
            });
        }
    };
--- a/curve-constraint-tests/Cargo.toml
+++ b/curve-constraint-tests/Cargo.toml
@@ -1,6 +1,6 @@
 [package]
 name = "ark-curve-constraint-tests"
-version = "0.2.0"
+version = "0.3.0"
 authors = [ "arkworks contributors" ]
 description = "A library for testing constraints for finite fields, elliptic curves, and pairings"
 homepage = "https://arkworks.rs"
@@ -13,12 +13,12 @@ license = "MIT/Apache-2.0"
 edition = "2018"

 [dependencies]
-ark-std = { version = "^0.2.0", default-features = false }
-ark-serialize = { version = "^0.2.0", default-features = false }
-ark-ff = { version = "^0.2.0", default-features = false }
-ark-relations = { version = "^0.2.0", default-features = false }
-ark-r1cs-std = { version = "^0.2.0", default-features = false }
-ark-ec = { version = "^0.2.0", default-features = false }
+ark-std = { version = "^0.3.0", default-features = false }
+ark-serialize = { version = "^0.3.0", default-features = false }
+ark-ff = { version = "^0.3.0", default-features = false }
+ark-relations = { version = "^0.3.0", default-features = false }
+ark-r1cs-std = { version = "^0.3.0", default-features = false }
+ark-ec = { version = "^0.3.0", default-features = false }

 [features]
 default = []
--- a/ed_on_bls12_377/Cargo.toml
+++ b/ed_on_bls12_377/Cargo.toml
@@ -1,10 +1,10 @@
 [package]
 name = "ark-ed-on-bls12-377"
-version = "0.2.0"
+version = "0.3.0"
 authors = [ "arkworks contributors" ]
 description = "A Twisted Edwards curve defined over the scalar field of the BLS12-377 curve"
 homepage = "https://arkworks.rs"
-repository = "https://github.com/arkworks-rs/algebra"
+repository = "https://github.com/arkworks-rs/curves"
 documentation = "https://docs.rs/ark-ed-on-bls12-377/"
 keywords = ["cryptography", "finite-fields", "elliptic-curves" ]
 categories = ["cryptography"]
@@ -13,16 +13,16 @@ license = "MIT/Apache-2.0"
 edition = "2018"

 [dependencies]
-ark-ff = { version = "^0.2.0", default-features = false }
-ark-ec = { version = "^0.2.0", default-features = false }
-ark-std = { version = "^0.2.0", default-features = false }
-ark-r1cs-std = { version = "^0.2.0", default-features = false, optional = true }
-ark-bls12-377 = { version = "^0.2.0", path = "../bls12_377", default-features = false, features = [ "scalar_field" ] }
+ark-ff = { version = "^0.3.0", default-features = false }
+ark-ec = { version = "^0.3.0", default-features = false }
+ark-std = { version = "^0.3.0", default-features = false }
+ark-r1cs-std = { version = "^0.3.0", default-features = false, optional = true }
+ark-bls12-377 = { version = "^0.3.0", path = "../bls12_377", default-features = false, features = [ "scalar_field" ] }

 [dev-dependencies]
-ark-relations = { version = "^0.2.0", default-features = false }
-ark-serialize = { version = "^0.2.0", default-features = false }
-ark-algebra-test-templates = { version = "^0.2.0", default-features = false }
+ark-relations = { version = "^0.3.0", default-features = false }
+ark-serialize = { version = "^0.3.0", default-features = false }
+ark-algebra-test-templates = { version = "^0.3.0", default-features = false }
 ark-curve-constraint-tests = { path = "../curve-constraint-tests", default-features = false }

 [features]
--- a/ed_on_bls12_381/Cargo.toml
+++ b/ed_on_bls12_381/Cargo.toml
@@ -1,10 +1,10 @@
 [package]
 name = "ark-ed-on-bls12-381"
-version = "0.2.0"
+version = "0.3.0"
 authors = [ "arkworks contributors" ]
 description = "A Twisted Edwards curve defined over the scalar field of the BLS12-381 curve"
 homepage = "https://arkworks.rs"
-repository = "https://github.com/arkworks-rs/algebra"
+repository = "https://github.com/arkworks-rs/curves"
 documentation = "https://docs.rs/ark-ed-on-bls12-381/"
 keywords = ["cryptography", "finite-fields", "elliptic-curves" ]
 categories = ["cryptography"]
@@ -13,16 +13,16 @@ license = "MIT/Apache-2.0"
 edition = "2018"

 [dependencies]
-ark-ff = { version = "^0.2.0", default-features = false }
-ark-ec = { version = "^0.2.0", default-features = false }
-ark-std = { version = "^0.2.0", default-features = false }
-ark-r1cs-std = { version = "^0.2.0", default-features = false, optional = true }
-ark-bls12-381 = { version = "^0.2.0", path = "../bls12_381", default-features = false, features = [ "scalar_field" ] }
+ark-ff = { version = "^0.3.0", default-features = false }
+ark-ec = { version = "^0.3.0", default-features = false }
+ark-std = { version = "^0.3.0", default-features = false }
+ark-r1cs-std = { version = "^0.3.0", default-features = false, optional = true }
+ark-bls12-381 = { version = "^0.3.0", path = "../bls12_381", default-features = false, features = [ "scalar_field" ] }

 [dev-dependencies]
-ark-relations = { version = "^0.2.0", default-features = false }
-ark-serialize = { version = "^0.2.0", default-features = false }
-ark-algebra-test-templates = { version = "^0.2.0", default-features = false }
+ark-relations = { version = "^0.3.0", default-features = false }
+ark-serialize = { version = "^0.3.0", default-features = false }
+ark-algebra-test-templates = { version = "^0.3.0", default-features = false }
 ark-curve-constraint-tests = { path = "../curve-constraint-tests", default-features = false }

 [features]
--- a/ed_on_bls12_381/src/constraints/curves.rs
+++ b/ed_on_bls12_381/src/constraints/curves.rs
@@ -1,12 +1,17 @@
 use crate::*;
-use ark_r1cs_std::groups::curves::twisted_edwards::AffineVar;
+use ark_r1cs_std::groups::curves::{short_weierstrass::ProjectiveVar, twisted_edwards::AffineVar};

 use crate::constraints::FqVar;

 /// A variable that is the R1CS equivalent of `crate::EdwardsAffine`.
-pub type EdwardsVar = AffineVar<EdwardsParameters, FqVar>;
+pub type EdwardsVar = AffineVar<JubjubParameters, FqVar>;
+
+/// A variable that is the R1CS equivalent of `crate::SWProjective`
+pub type SWVar = ProjectiveVar<JubjubParameters, FqVar>;

 #[test]
 fn test() {
    ark_curve_constraint_tests::curves::te_test::<_, EdwardsVar>().unwrap();
+    ark_curve_constraint_tests::curves::sw_test::<_, SWVar>().unwrap();
+    ark_curve_constraint_tests::curves::group_test::<_, Fq, EdwardsVar>().unwrap();
 }
--- a/ed_on_bls12_381/src/curves/mod.rs
+++ b/ed_on_bls12_381/src/curves/mod.rs
@@ -1,15 +1,21 @@
 use crate::{Fq, Fr};
 use ark_ec::{
    models::{ModelParameters, MontgomeryModelParameters, TEModelParameters},
+    short_weierstrass_jacobian::{
+        GroupAffine as SWGroupAffine, GroupProjective as SWGroupProjective,
+    },
    twisted_edwards_extended::{GroupAffine, GroupProjective},
+    SWModelParameters,
 };
 use ark_ff::field_new;

 #[cfg(test)]
 mod tests;

-pub type EdwardsAffine = GroupAffine<EdwardsParameters>;
-pub type EdwardsProjective = GroupProjective<EdwardsParameters>;
+pub type EdwardsAffine = GroupAffine<JubjubParameters>;
+pub type EdwardsProjective = GroupProjective<JubjubParameters>;
+pub type SWAffine = SWGroupAffine<JubjubParameters>;
+pub type SWProjective = SWGroupProjective<JubjubParameters>;

 /// `JubJub` is a twisted Edwards curve. These curves have equations of the
 /// form: ax² + y² = 1 - dx²y².
@@ -32,15 +38,29 @@ pub type EdwardsProjective = GroupProjective<EdwardsParameters>;
 /// ```
 /// These parameters and the sage script obtained from:
 /// <https://github.com/zcash/zcash/issues/2230#issuecomment-317182190>
+///
+///
+/// `jubjub` also has a short Weierstrass curve form, following the
+/// form: y² = x³ + A * x + B
+/// where
+///
+/// A = 52296097456646850916096512823759002727550416093741407922227928430486925478210
+/// B = 48351165704696163914533707656614864561753505123260775585269522553028192119009
+///
+/// We can use the script available
+/// [here](https://github.com/zhenfeizhang/bandersnatch/blob/main/bandersnatch/script/jubjub.sage)
+/// to convert between the different representations.
 #[derive(Clone, Default, PartialEq, Eq)]
-pub struct EdwardsParameters;
+pub struct JubjubParameters;
+pub type EdwardsParameters = JubjubParameters;
+pub type SWParameters = JubjubParameters;

-impl ModelParameters for EdwardsParameters {
+impl ModelParameters for JubjubParameters {
    type BaseField = Fq;
    type ScalarField = Fr;
 }

-impl TEModelParameters for EdwardsParameters {
+impl TEModelParameters for JubjubParameters {
    /// COEFF_A = -1
    #[rustfmt::skip]
    const COEFF_A: Fq = field_new!(Fq, "-1");
@@ -60,7 +80,7 @@ impl TEModelParameters for EdwardsParameters {
    /// AFFINE_GENERATOR_COEFFS = (GENERATOR_X, GENERATOR_Y)
    const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) = (GENERATOR_X, GENERATOR_Y);

-    type MontgomeryModelParameters = EdwardsParameters;
+    type MontgomeryModelParameters = JubjubParameters;

    /// Multiplication by `a` is simply negation here.
    #[inline(always)]
@@ -69,7 +89,7 @@ impl TEModelParameters for EdwardsParameters {
    }
 }

-impl MontgomeryModelParameters for EdwardsParameters {
+impl MontgomeryModelParameters for JubjubParameters {
    /// COEFF_A = 40962
    #[rustfmt::skip]
    const COEFF_A: Fq = field_new!(Fq, "40962");
@@ -77,10 +97,39 @@ impl MontgomeryModelParameters for EdwardsParameters {
    #[rustfmt::skip]
    const COEFF_B: Fq = field_new!(Fq, "-40964");

-    type TEModelParameters = EdwardsParameters;
+    type TEModelParameters = JubjubParameters;
 }

 #[rustfmt::skip]
 const GENERATOR_X: Fq = field_new!(Fq, "8076246640662884909881801758704306714034609987455869804520522091855516602923");
 #[rustfmt::skip]
 const GENERATOR_Y: Fq = field_new!(Fq, "13262374693698910701929044844600465831413122818447359594527400194675274060458");
+
+impl SWModelParameters for JubjubParameters {
+    /// COEFF_A = 52296097456646850916096512823759002727550416093741407922227928430486925478210
+    #[rustfmt::skip]
+    const COEFF_A: Self::BaseField = field_new!(Fq, "52296097456646850916096512823759002727550416093741407922227928430486925478210");
+
+    /// COEFF_B = 48351165704696163914533707656614864561753505123260775585269522553028192119009
+    #[rustfmt::skip]
+    const COEFF_B: Self::BaseField = field_new!(Fq, "48351165704696163914533707656614864561753505123260775585269522553028192119009");
+
+    /// COFACTOR = 8
+    const COFACTOR: &'static [u64] = &[8];
+
+    /// COFACTOR^(-1) mod r =
+    /// 819310549611346726241370945440405716213240158234039660170669895299022906775
+    #[rustfmt::skip]
+    const COFACTOR_INV: Fr = field_new!(Fr, "819310549611346726241370945440405716213240158234039660170669895299022906775");
+
+    /// generators
+    const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) =
+        (SW_GENERATOR_X, SW_GENERATOR_Y);
+}
+
+/// x coordinate for SW curve generator
+#[rustfmt::skip]
+const SW_GENERATOR_X: Fq = field_new!(Fq, "33835869156188682335217394949746694649676633840125476177319971163079011318731");
+/// y coordinate for SW curve generator
+#[rustfmt::skip]
+const SW_GENERATOR_Y: Fq = field_new!(Fq, "43777270878440091394432848052353307184915192688165709016756678962558652055320");
--- a/ed_on_bls12_381/src/curves/tests.rs
+++ b/ed_on_bls12_381/src/curves/tests.rs
@@ -1,8 +1,6 @@
 use ark_ec::{AffineCurve, ProjectiveCurve};
 use ark_ff::{bytes::FromBytes, Zero};
-use ark_std::rand::Rng;
-use ark_std::str::FromStr;
-use ark_std::test_rng;
+use ark_std::{rand::Rng, str::FromStr, test_rng};

 use crate::*;

@@ -12,7 +10,9 @@ use ark_algebra_test_templates::{curves::*, groups::*};
 fn test_projective_curve() {
    curve_tests::<EdwardsProjective>();

-    edwards_tests::<EdwardsParameters>();
+    edwards_tests::<JubjubParameters>();
+    montgomery_conversion_test::<JubjubParameters>();
+    sw_tests::<JubjubParameters>();
 }

 #[test]
@@ -20,8 +20,13 @@ fn test_projective_group() {
    let mut rng = test_rng();
    let a = rng.gen();
    let b = rng.gen();
+
+    let c = rng.gen();
+    let d = rng.gen();
+
    for _i in 0..100 {
        group_test::<EdwardsProjective>(a, b);
+        group_test::<SWProjective>(c, d);
    }
 }

@@ -37,9 +42,15 @@ fn test_affine_group() {

 #[test]
 fn test_generator() {
+    // edward curve
    let generator = EdwardsAffine::prime_subgroup_generator();
    assert!(generator.is_on_curve());
    assert!(generator.is_in_correct_subgroup_assuming_on_curve());
+
+    // weierstrass curve
+    let generator = SWAffine::prime_subgroup_generator();
+    assert!(generator.is_on_curve());
+    assert!(generator.is_in_correct_subgroup_assuming_on_curve());
 }

 #[test]
@@ -103,5 +114,5 @@ fn test_bytes() {

 #[test]
 fn test_montgomery_conversion() {
-    montgomery_conversion_test::<EdwardsParameters>();
+    montgomery_conversion_test::<JubjubParameters>();
 }
--- a/ed_on_bls12_381/src/fields/tests.rs
+++ b/ed_on_bls12_381/src/fields/tests.rs
@@ -9,8 +9,7 @@ use ark_std::test_rng;

 use ark_algebra_test_templates::fields::*;

-use ark_std::rand::Rng;
-use ark_std::str::FromStr;
+use ark_std::{rand::Rng, str::FromStr};

 #[test]
 fn test_fr() {
--- a/ed_on_bls12_381/src/lib.rs
+++ b/ed_on_bls12_381/src/lib.rs
@@ -8,14 +8,16 @@
 )]
 #![forbid(unsafe_code)]

-//! This library implements a twisted Edwards curve whose base field is the scalar field of the
-//! curve BLS12-377. This allows defining cryptographic primitives that use elliptic curves over
-//! the scalar field of the latter curve. This curve was generated by Sean Bowe, and is also known
-//! as [Jubjub](https://github.com/zkcrypto/jubjub).
+//! This library implements a twisted Edwards curve whose base field is the
+//! scalar field of the curve BLS12-381. This allows defining cryptographic
+//! primitives that use elliptic curves over the scalar field of the latter
+//! curve. This curve was generated by Sean Bowe, and is also known as [Jubjub](https://github.com/zkcrypto/jubjub).
 //!
 //! Curve information:
-//! * Base field: q = 52435875175126190479447740508185965837690552500527637822603658699938581184513
-//! * Scalar field: r = 6554484396890773809930967563523245729705921265872317281365359162392183254199
+//! * Base field: q =
+//!   52435875175126190479447740508185965837690552500527637822603658699938581184513
+//! * Scalar field: r =
+//!   6554484396890773809930967563523245729705921265872317281365359162392183254199
 //! * Valuation(q - 1, 2) = 32
 //! * Valuation(r - 1, 2) = 1
 //! * Curve equation: ax^2 + y^2 =1 + dx^2y^2, where
--- a/ed_on_bls12_381_bandersnatch/Cargo.toml
+++ b/ed_on_bls12_381_bandersnatch/Cargo.toml
@@ -0,0 +1,34 @@
+[package]
+name = "ark-ed-on-bls12-381-bandersnatch"
+version = "0.1.0"
+authors = [ "zhenfei zhang", "arkworks contributors" ]
+description = "Bandersnatch: a curve defined over the scalar field of the BLS12-381 curve"
+repository = "https://github.com/zhenfeizhang/bandersnatch-rust"
+keywords = ["cryptography", "finite-fields", "elliptic-curves" ]
+categories = ["cryptography"]
+include = ["Cargo.toml", "src", "README.md", "LICENSE-APACHE", "LICENSE-MIT"]
+license = "MIT/Apache-2.0"
+edition = "2018"
+
+[dependencies]
+ark-ff = { version = "^0.3.0", default-features = false }
+ark-ec = { version = "^0.3.0", default-features = false }
+ark-std = { version = "^0.3.0", default-features = false }
+ark-r1cs-std = { version = "^0.3.0", default-features = false, optional = true }
+ark-bls12-381 = { version = "^0.3.0", default-features = false, features = [ "scalar_field" ] }
+
+[dev-dependencies]
+ark-relations = { version = "^0.3.0", default-features = false }
+ark-serialize = { version = "^0.3.0", default-features = false }
+ark-algebra-test-templates = { version = "^0.3.0", default-features = false }
+ark-curve-constraint-tests = { path = "../curve-constraint-tests", default-features = false }
+
+[features]
+default = []
+std = [ 
+    "ark-std/std", 
+    "ark-ff/std", 
+    "ark-ec/std", 
+    "ark-bls12-381/std" 
+]
+r1cs = ["ark-r1cs-std"]
--- a/ed_on_bls12_381_bandersnatch/src/constraints/curves.rs
+++ b/ed_on_bls12_381_bandersnatch/src/constraints/curves.rs
@@ -0,0 +1,15 @@
+use crate::{constraints::FqVar, *};
+use ark_r1cs_std::groups::curves::{short_weierstrass::ProjectiveVar, twisted_edwards::AffineVar};
+
+/// A variable that is the R1CS equivalent of `crate::BandersnatchParameters`.
+pub type EdwardsVar = AffineVar<BandersnatchParameters, FqVar>;
+
+/// A variable that is the R1CS equivalent of `crate::SWProjective`
+pub type SWVar = ProjectiveVar<BandersnatchParameters, FqVar>;
+
+#[test]
+fn test() {
+    ark_curve_constraint_tests::curves::te_test::<_, EdwardsVar>().unwrap();
+    ark_curve_constraint_tests::curves::sw_test::<_, SWVar>().unwrap();
+    ark_curve_constraint_tests::curves::group_test::<_, Fq, EdwardsVar>().unwrap();
+}
--- a/ed_on_bls12_381_bandersnatch/src/constraints/fields.rs
+++ b/ed_on_bls12_381_bandersnatch/src/constraints/fields.rs
@@ -0,0 +1,9 @@
+use ark_r1cs_std::fields::fp::FpVar;
+
+/// A variable that is the R1CS equivalent of `crate::Fq`.
+pub type FqVar = FpVar<crate::Fq>;
+
+#[test]
+fn test() {
+    ark_curve_constraint_tests::fields::field_test::<_, _, FqVar>().unwrap();
+}
--- a/ed_on_bls12_381_bandersnatch/src/constraints/mod.rs
+++ b/ed_on_bls12_381_bandersnatch/src/constraints/mod.rs
@@ -0,0 +1,107 @@
+//! This module implements the R1CS equivalent of `ark_bandersnatch`.
+//!
+//! It implements field variables for `crate::Fq`,
+//! and group variables for `crate::GroupProjective`.
+//!
+//! The field underlying these constraints is `crate::Fq`.
+//!
+//! # Examples
+//!
+//! One can perform standard algebraic operations on `FqVar`:
+//!
+//! ```
+//! # fn main() -> Result<(), ark_relations::r1cs::SynthesisError> {
+//! use ark_std::UniformRand;
+//! use ark_relations::r1cs::*;
+//! use ark_r1cs_std::prelude::*;
+//! use ark_ed_on_bls12_381_bandersnatch::{*, constraints::*};
+//!
+//! let cs = ConstraintSystem::<Fq>::new_ref();
+//! // This rng is just for test purposes; do not use it
+//! // in real applications.
+//! let mut rng = ark_std::test_rng();
+//!
+//! // Generate some random `Fq` elements.
+//! let a_native = Fq::rand(&mut rng);
+//! let b_native = Fq::rand(&mut rng);
+//!
+//! // Allocate `a_native` and `b_native` as witness variables in `cs`.
+//! let a = FqVar::new_witness(ark_relations::ns!(cs, "generate_a"), || Ok(a_native))?;
+//! let b = FqVar::new_witness(ark_relations::ns!(cs, "generate_b"), || Ok(b_native))?;
+//!
+//! // Allocate `a_native` and `b_native` as constants in `cs`. This does not add any
+//! // constraints or variables.
+//! let a_const = FqVar::new_constant(ark_relations::ns!(cs, "a_as_constant"), a_native)?;
+//! let b_const = FqVar::new_constant(ark_relations::ns!(cs, "b_as_constant"), b_native)?;
+//!
+//! let one = FqVar::one();
+//! let zero = FqVar::zero();
+//!
+//! // Sanity check one + one = two
+//! let two = &one + &one + &zero;
+//! two.enforce_equal(&one.double()?)?;
+//!
+//! assert!(cs.is_satisfied()?);
+//!
+//! // Check that the value of &a + &b is correct.
+//! assert_eq!((&a + &b).value()?, a_native + &b_native);
+//!
+//! // Check that the value of &a * &b is correct.
+//! assert_eq!((&a * &b).value()?, a_native * &b_native);
+//!
+//! // Check that operations on variables and constants are equivalent.
+//! (&a + &b).enforce_equal(&(&a_const + &b_const))?;
+//! assert!(cs.is_satisfied()?);
+//! # Ok(())
+//! # }
+//! ```
+//!
+//! One can also perform standard algebraic operations on `EdwardsVar`:
+//!
+//! ```
+//! # fn main() -> Result<(), ark_relations::r1cs::SynthesisError> {
+//! # use ark_std::UniformRand;
+//! # use ark_relations::r1cs::*;
+//! # use ark_r1cs_std::prelude::*;
+//! # use ark_ed_on_bls12_381_bandersnatch::{*, constraints::*};
+//!
+//! # let cs = ConstraintSystem::<Fq>::new_ref();
+//! # let mut rng = ark_std::test_rng();
+//!
+//! // Generate some random `Edwards` elements.
+//! let a_native = EdwardsProjective::rand(&mut rng);
+//! let b_native = EdwardsProjective::rand(&mut rng);
+//!
+//! // Allocate `a_native` and `b_native` as witness variables in `cs`.
+//! let a = EdwardsVar::new_witness(ark_relations::ns!(cs, "a"), || Ok(a_native))?;
+//! let b = EdwardsVar::new_witness(ark_relations::ns!(cs, "b"), || Ok(b_native))?;
+//!
+//! // Allocate `a_native` and `b_native` as constants in `cs`. This does not add any
+//! // constraints or variables.
+//! let a_const = EdwardsVar::new_constant(ark_relations::ns!(cs, "a_as_constant"), a_native)?;
+//! let b_const = EdwardsVar::new_constant(ark_relations::ns!(cs, "b_as_constant"), b_native)?;
+//!
+//! // This returns the identity of `Edwards`.
+//! let zero = EdwardsVar::zero();
+//!
+//! // Sanity check one + one = two
+//! let two_a = &a + &a + &zero;
+//! two_a.enforce_equal(&a.double()?)?;
+//!
+//! assert!(cs.is_satisfied()?);
+//!
+//! // Check that the value of &a + &b is correct.
+//! assert_eq!((&a + &b).value()?, a_native + &b_native);
+//!
+//! // Check that operations on variables and constants are equivalent.
+//! (&a + &b).enforce_equal(&(&a_const + &b_const))?;
+//! assert!(cs.is_satisfied()?);
+//! # Ok(())
+//! # }
+//! ```
+
+mod curves;
+mod fields;
+
+pub use curves::*;
+pub use fields::*;
--- a/ed_on_bls12_381_bandersnatch/src/curves/mod.rs
+++ b/ed_on_bls12_381_bandersnatch/src/curves/mod.rs
@@ -0,0 +1,148 @@
+use crate::{Fq, Fr};
+use ark_ec::{
+    models::{ModelParameters, MontgomeryModelParameters, TEModelParameters},
+    short_weierstrass_jacobian::{
+        GroupAffine as SWGroupAffine, GroupProjective as SWGroupProjective,
+    },
+    twisted_edwards_extended::{GroupAffine, GroupProjective},
+    SWModelParameters,
+};
+use ark_ff::{field_new, Field};
+
+#[cfg(test)]
+mod tests;
+
+pub type EdwardsAffine = GroupAffine<BandersnatchParameters>;
+pub type EdwardsProjective = GroupProjective<BandersnatchParameters>;
+
+pub type SWAffine = SWGroupAffine<BandersnatchParameters>;
+pub type SWProjective = SWGroupProjective<BandersnatchParameters>;
+
+/// `bandersnatch` is a twisted Edwards curve. These curves have equations of the
+/// form: ax² + y² = 1 - dx²y².
+/// over some base finite field Fq.
+///
+/// bandersnatch's curve equation: -5x² + y² = 1 - dx²y²
+///
+/// q = 52435875175126190479447740508185965837690552500527637822603658699938581184513.
+///
+/// a = -5.
+/// d = (138827208126141220649022263972958607803/
+///     171449701953573178309673572579671231137) mod q
+///   = 45022363124591815672509500913686876175488063829319466900776701791074614335719.
+///
+/// Sage script to calculate these:
+///
+/// ```text
+/// q = 52435875175126190479447740508185965837690552500527637822603658699938581184513
+/// Fq = GF(q)
+/// d = (Fq(138827208126141220649022263972958607803)/Fq(171449701953573178309673572579671231137))
+/// ```
+/// These parameters and the sage script obtained from:
+/// <https://github.com/asanso/Bandersnatch/>
+///
+/// bandersnatch also has a short Weierstrass curve form, following the
+/// form: y² = x³ + A * x + B
+/// where
+///
+/// A = 10773120815616481058602537765553212789256758185246796157495669123169359657269
+/// B = 29569587568322301171008055308580903175558631321415017492731745847794083609535
+///
+/// Script to transfer between different curves are available
+/// <https://github.com/zhenfeizhang/bandersnatch/blob/main/bandersnatch/script/bandersnatch.sage>
+///
+#[derive(Clone, Default, PartialEq, Eq)]
+pub struct BandersnatchParameters;
+
+pub type EdwardsParameters = BandersnatchParameters;
+pub type SWParameters = BandersnatchParameters;
+
+impl ModelParameters for BandersnatchParameters {
+    type BaseField = Fq;
+    type ScalarField = Fr;
+}
+
+impl TEModelParameters for BandersnatchParameters {
+    /// COEFF_A = -5
+    const COEFF_A: Fq = field_new!(Fq, "-5");
+
+    /// COEFF_D = (138827208126141220649022263972958607803/
+    /// 171449701953573178309673572579671231137) mod q
+    #[rustfmt::skip]
+    const COEFF_D: Fq = field_new!(Fq, "45022363124591815672509500913686876175488063829319466900776701791074614335719");
+
+    /// COFACTOR = 4
+    const COFACTOR: &'static [u64] = &[4];
+
+    /// COFACTOR^(-1) mod r =
+    /// 9831726595336160714896451345284868594481866920080427688839802480047265754601
+    #[rustfmt::skip]
+    const COFACTOR_INV: Fr = field_new!(Fr, "9831726595336160714896451345284868594481866920080427688839802480047265754601");
+
+    /// AFFINE_GENERATOR_COEFFS = (GENERATOR_X, GENERATOR_Y)
+    const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) =
+        (TE_GENERATOR_X, TE_GENERATOR_Y);
+
+    type MontgomeryModelParameters = BandersnatchParameters;
+
+    /// Multiplication by `a` is multiply by `-5`.
+    #[inline(always)]
+    fn mul_by_a(elem: &Self::BaseField) -> Self::BaseField {
+        let t = (*elem).double().double();
+        -(t + *elem)
+    }
+}
+
+impl MontgomeryModelParameters for BandersnatchParameters {
+    /// COEFF_A = 29978822694968839326280996386011761570173833766074948509196803838190355340952
+    #[rustfmt::skip]
+    const COEFF_A: Fq = field_new!(Fq, "29978822694968839326280996386011761570173833766074948509196803838190355340952");
+
+    /// COEFF_B = 25465760566081946422412445027709227188579564747101592991722834452325077642517
+    #[rustfmt::skip]
+    const COEFF_B: Fq = field_new!(Fq, "25465760566081946422412445027709227188579564747101592991722834452325077642517");
+
+    type TEModelParameters = BandersnatchParameters;
+}
+
+// The TE form generator is generated following Zcash's fashion:
+//  "The generators of G1 and G2 are computed by finding the lexicographically smallest
+//   valid x-coordinate, and its lexicographically smallest y-coordinate and scaling it
+//   by the cofactor such that the result is not the point at infinity."
+// The SW form generator is the same TE generator converted into SW form, obtained from the scripts:
+//   <https://github.com/zhenfeizhang/bandersnatch/blob/main/bandersnatch/script/bandersnatch.sage>
+
+/// x coordinate for TE curve generator
+#[rustfmt::skip]
+const TE_GENERATOR_X: Fq = field_new!(Fq, "18886178867200960497001835917649091219057080094937609519140440539760939937304");
+/// y coordinate for TE curve generator
+#[rustfmt::skip]
+const TE_GENERATOR_Y: Fq = field_new!(Fq, "19188667384257783945677642223292697773471335439753913231509108946878080696678");
+/// x coordinate for SW curve generator
+#[rustfmt::skip]
+const SW_GENERATOR_X: Fq = field_new!(Fq, "30900340493481298850216505686589334086208278925799850409469406976849338430199");
+/// y coordinate for SW curve generator
+#[rustfmt::skip]
+const SW_GENERATOR_Y: Fq = field_new!(Fq, "12663882780877899054958035777720958383845500985908634476792678820121468453298");
+
+impl SWModelParameters for BandersnatchParameters {
+    /// COEFF_A = 10773120815616481058602537765553212789256758185246796157495669123169359657269
+    #[rustfmt::skip]
+    const COEFF_A: Self::BaseField = field_new!(Fq, "10773120815616481058602537765553212789256758185246796157495669123169359657269");
+
+    /// COEFF_B = 29569587568322301171008055308580903175558631321415017492731745847794083609535
+    #[rustfmt::skip]
+    const COEFF_B: Self::BaseField = field_new!(Fq, "29569587568322301171008055308580903175558631321415017492731745847794083609535");
+
+    /// COFACTOR = 4
+    const COFACTOR: &'static [u64] = &[4];
+
+    /// COFACTOR^(-1) mod r =
+    /// 9831726595336160714896451345284868594481866920080427688839802480047265754601
+    #[rustfmt::skip]
+    const COFACTOR_INV: Fr = field_new!(Fr, "9831726595336160714896451345284868594481866920080427688839802480047265754601");
+
+    /// generators
+    const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) =
+        (SW_GENERATOR_X, SW_GENERATOR_Y);
+}
--- a/ed_on_bls12_381_bandersnatch/src/curves/tests.rs
+++ b/ed_on_bls12_381_bandersnatch/src/curves/tests.rs
@@ -0,0 +1,125 @@
+use crate::*;
+use ark_algebra_test_templates::{curves::*, groups::*};
+use ark_ec::{AffineCurve, ProjectiveCurve};
+use ark_ff::{bytes::FromBytes, Zero};
+use ark_std::{rand::Rng, str::FromStr, test_rng};
+
+#[test]
+fn test_projective_curve() {
+    curve_tests::<EdwardsProjective>();
+
+    edwards_tests::<BandersnatchParameters>();
+    montgomery_conversion_test::<BandersnatchParameters>();
+    sw_tests::<BandersnatchParameters>();
+}
+
+#[test]
+fn test_projective_group() {
+    let mut rng = test_rng();
+    let a = rng.gen();
+    let b = rng.gen();
+
+    let c = rng.gen();
+    let d = rng.gen();
+
+    for _i in 0..100 {
+        group_test::<EdwardsProjective>(a, b);
+        group_test::<SWProjective>(c, d);
+    }
+}
+
+#[test]
+fn test_affine_group() {
+    let mut rng = test_rng();
+    let a: EdwardsAffine = rng.gen();
+    let b: EdwardsAffine = rng.gen();
+    for _i in 0..100 {
+        group_test::<EdwardsAffine>(a, b);
+    }
+}
+
+#[test]
+fn test_generator() {
+    // edward curve
+    let generator = EdwardsAffine::prime_subgroup_generator();
+    assert!(generator.is_on_curve());
+    assert!(generator.is_in_correct_subgroup_assuming_on_curve());
+
+    // weierstrass curve
+    let generator = SWAffine::prime_subgroup_generator();
+    assert!(generator.is_on_curve());
+    assert!(generator.is_in_correct_subgroup_assuming_on_curve());
+}
+
+#[test]
+fn test_conversion() {
+    // edward curve
+    let mut rng = test_rng();
+    let a: EdwardsAffine = rng.gen();
+    let b: EdwardsAffine = rng.gen();
+    let a_b = {
+        use ark_ec::group::Group;
+        (a + &b).double().double()
+    };
+    let a_b2 = (a.into_projective() + &b.into_projective())
+        .double()
+        .double();
+    assert_eq!(a_b, a_b2.into_affine());
+    assert_eq!(a_b.into_projective(), a_b2);
+
+    // weierstrass curve
+    let mut rng = test_rng();
+    let a: SWProjective = rng.gen();
+    let b: SWProjective = rng.gen();
+    let a_b = { (a + &b).double().double() };
+    let a_b2 = (a + &b).double().double();
+    assert_eq!(a_b.into_affine(), a_b2.into_affine());
+}
+
+#[test]
+fn test_scalar_multiplication() {
+    let f1 = Fr::from_str(
+        "4257185345094557079734489188109952172285839137338142340240392707284963971010",
+    )
+    .unwrap();
+    let f2 = Fr::from_str(
+        "1617998875791656082457755819308421023664764572929977389209373068350490665160",
+    )
+    .unwrap();
+
+    let g = EdwardsAffine::from_str(
+        "(29627151942733444043031429156003786749302466371339015363120350521834195802525, \
+         27488387519748396681411951718153463804682561779047093991696427532072116857978)",
+    )
+    .unwrap();
+    let f1f2g = EdwardsAffine::from_str(
+        "(16530491029447613915334753043669938793793987372416328257719459807614119987301, \
+         42481140308370805476764840229335460092474682686441442216596889726548353970772)",
+    )
+    .unwrap();
+
+    assert!(!g.is_zero());
+    assert!(!f1f2g.is_zero());
+
+    let f1g = g.mul(f1).into_affine();
+    assert_eq!(g.mul(f1 * &f2).into_affine(), f1f2g);
+    assert_eq!(f1g.mul(f2).into_affine(), f1f2g);
+}
+
+#[test]
+fn test_bytes() {
+    let g_from_repr = EdwardsAffine::from_str(
+        "(29627151942733444043031429156003786749302466371339015363120350521834195802525, \
+         27488387519748396681411951718153463804682561779047093991696427532072116857978)",
+    )
+    .unwrap();
+
+    let g_bytes = ark_ff::to_bytes![g_from_repr].unwrap();
+    let g = EdwardsAffine::read(g_bytes.as_slice()).unwrap();
+    assert_eq!(g_from_repr, g);
+}
+
+#[test]
+fn test_montgomery_conversion() {
+    montgomery_conversion_test::<BandersnatchParameters>();
+}
--- a/ed_on_bls12_381_bandersnatch/src/fields/fq.rs
+++ b/ed_on_bls12_381_bandersnatch/src/fields/fq.rs
@@ -0,0 +1 @@
+pub use ark_bls12_381::{Fr as Fq, FrParameters as FqParameters};
--- a/ed_on_bls12_381_bandersnatch/src/fields/fr.rs
+++ b/ed_on_bls12_381_bandersnatch/src/fields/fr.rs
@@ -0,0 +1,115 @@
+use ark_ff::{
+    biginteger::BigInteger256 as BigInteger,
+    fields::{FftParameters, Fp256, Fp256Parameters, FpParameters},
+};
+
+pub type Fr = Fp256<FrParameters>;
+
+pub struct FrParameters;
+
+impl Fp256Parameters for FrParameters {}
+impl FftParameters for FrParameters {
+    type BigInt = BigInteger;
+
+    /// Let `N` be the size of the multiplicative group defined by the field.
+    /// Then `TWO_ADICITY` is the two-adicity of `N`, i.e. the integer `s`
+    /// such that `N = 2^s * t` for some odd integer `t`.
+    const TWO_ADICITY: u32 = 5;
+
+    /// 2^s root of unity computed by GENERATOR^t
+    /// 4740934665446857387895054948191089665295030226009829406950782728666658007874
+    #[rustfmt::skip]
+    const TWO_ADIC_ROOT_OF_UNITY: BigInteger = BigInteger([
+        0xa4dcdba087826b42,
+        0x6e4ab162f57f862a,
+        0xabc5492749348d6a,
+        0xa7b462035f8c169,
+    ]);
+}
+impl FpParameters for FrParameters {
+    /// The modulus of the field.
+    /// MODULUS = 13108968793781547619861935127046491459309155893440570251786403306729687672801.
+    #[rustfmt::skip]
+    const MODULUS: BigInteger = BigInteger([
+        0x74fd06b52876e7e1,
+        0xff8f870074190471,
+        0x0cce760202687600,
+        0x1cfb69d4ca675f52,
+    ]);
+
+    /// The number of bits needed to represent the `Self::MODULUS`.
+    const MODULUS_BITS: u32 = 253;
+
+    /// The number of bits that can be reliably stored.
+    /// (Should equal `SELF::MODULUS_BITS - 1`)
+    const CAPACITY: u32 = Self::MODULUS_BITS - 1;
+
+    /// The number of bits that must be shaved from the beginning of
+    /// the representation when randomly sampling.
+    const REPR_SHAVE_BITS: u32 = 4;
+
+    /// Let `M` be the power of 2^64 nearest to `Self::MODULUS_BITS`. Then
+    /// `R = M % Self::MODULUS`.
+    /// R = 10920338887063814464675503992315976178796737518116002025166357554075628257528
+    #[rustfmt::skip]
+    const R: BigInteger = BigInteger([
+        0x5817ca56bc48c0f8,
+        0x0383c7fc5f37dc74,
+        0x998c4fefecbc4ff8,
+        0x1824b159acc5056f,
+    ]);
+
+    /// R2 = R^2 % Self::MODULUS
+    /// R2 = 4932290691328759802879919559207542894238895193980447506221046538067943049163
+    #[rustfmt::skip]
+    const R2: BigInteger = BigInteger([
+        0xdbb4f5d658db47cb,
+        0x40fa7ca27fecb938,
+        0xaa9e6daec0055cea,
+        0xae793ddb14aec7d
+    ]);
+
+    /// INV = -MODULUS^{-1} mod 2^64
+    /// INV = 17410672245482742751
+    const INV: u64 = 0xf19f22295cc063df;
+
+    /// A multiplicative generator of the field.
+    /// `Self::GENERATOR` is an element having multiplicative order
+    /// `Self::MODULUS - 1`.
+    /// n = 9962557815892774795293348142308860067333132192265356416788884706064406244838
+    #[rustfmt::skip]
+    const GENERATOR: BigInteger = BigInteger([
+        0x56b6f3ab7b616de6,
+        0x114f419d6c9083e5,
+        0xbf518d217780c4b9,
+        0x16069b9f45dbce7f,
+    ]);
+
+    /// (Self::MODULUS - 1) / 2
+    /// 6554484396890773809930967563523245729654577946720285125893201653364843836400
+    const MODULUS_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
+        0xba7e835a943b73f0,
+        0x7fc7c3803a0c8238,
+        0x06673b0101343b00,
+        0xe7db4ea6533afa9,
+    ]);
+
+    /// t for 2^s * t = MODULUS - 1, and t coprime to 2.
+    /// t = 409655274805673363120685472720202858103411121670017820368325103335302739775
+    ///   = (modulus-1)/2^5
+    const T: BigInteger = BigInteger([
+        0x8ba7e835a943b73f,
+        0x07fc7c3803a0c823,
+        0x906673b0101343b0,
+        0xe7db4ea6533afa,
+    ]);
+
+    /// (t - 1) / 2
+    ///  = 204827637402836681560342736360101429051705560835008910184162551667651369887
+    const T_MINUS_ONE_DIV_TWO: BigInteger = BigInteger([
+        0xc5d3f41ad4a1db9f,
+        0x03fe3e1c01d06411,
+        0x483339d80809a1d8,
+        0x73eda753299d7d,
+    ]);
+}
--- a/ed_on_bls12_381_bandersnatch/src/fields/mod.rs
+++ b/ed_on_bls12_381_bandersnatch/src/fields/mod.rs
@@ -0,0 +1,8 @@
+pub mod fq;
+pub mod fr;
+
+pub use fq::*;
+pub use fr::*;
+
+#[cfg(all(feature = "ed_on_bls12_381_bandersnatch", test))]
+mod tests;
--- a/ed_on_bls12_381_bandersnatch/src/fields/tests.rs
+++ b/ed_on_bls12_381_bandersnatch/src/fields/tests.rs
@@ -0,0 +1,423 @@
+use crate::{Fq, Fr};
+use ark_algebra_test_templates::fields::*;
+use ark_ff::{
+    biginteger::BigInteger256 as BigInteger,
+    bytes::{FromBytes, ToBytes},
+    fields::{Field, LegendreSymbol::*, SquareRootField},
+    One, Zero,
+};
+use ark_std::{rand::Rng, str::FromStr, test_rng};
+
+#[test]
+fn test_fr() {
+    let mut rng = test_rng();
+    let a: Fr = rng.gen();
+    let b: Fr = rng.gen();
+    field_test(a, b);
+    primefield_test::<Fr>();
+}
+
+#[test]
+fn test_fq() {
+    let mut rng = test_rng();
+    let a: Fq = rng.gen();
+    let b: Fq = rng.gen();
+    field_test(a, b);
+    primefield_test::<Fq>();
+}
+
+#[test]
+fn test_fq_add() {
+    let f1 = Fq::from_str(
+        "18386742314266644595564329008376577163854043021652781768352795308532764650733",
+    )
+    .unwrap();
+    let f2 = Fq::from_str(
+        "39786307610986038981023499868190793548353538256264351797285876981647142458383",
+    )
+    .unwrap();
+    let f3 = Fq::from_str(
+        "5737174750126493097140088368381404874517028777389495743035013590241325924603",
+    )
+    .unwrap();
+    assert!(!f1.is_zero());
+    assert!(!f2.is_zero());
+    assert!(!f3.is_zero());
+    assert_eq!(f1 + &f2, f3);
+}
+
+#[test]
+fn test_fq_add_one() {
+    let f1 = Fq::from_str(
+        "4946875394261337176810256604189376311946643975348516311606738923340201185904",
+    )
+    .unwrap();
+    let f2 = Fq::from_str(
+        "4946875394261337176810256604189376311946643975348516311606738923340201185905",
+    )
+    .unwrap();
+    assert!(!f1.is_zero());
+    assert!(!f2.is_zero());
+    assert_eq!(f1 + &Fq::one(), f2);
+}
+
+#[test]
+fn test_fq_mul() {
+    let f1 = Fq::from_str(
+        "24703123148064348394273033316595937198355721297494556079070134653139656190956",
+    )
+    .unwrap();
+    let f2 = Fq::from_str(
+        "38196797080882758914424853878212529985425118523754343117256179679117054302131",
+    )
+    .unwrap();
+    let f3 = Fq::from_str(
+        "38057113854472161555556064369220825628027487067886761874351491955834635348140",
+    )
+    .unwrap();
+    assert!(!f1.is_zero());
+    assert!(!f2.is_zero());
+    assert!(!f3.is_zero());
+    assert_eq!(f1 * &f2, f3);
+}
+
+#[test]
+fn test_fq_triple_mul() {
+    let f1 = Fq::from_str(
+        "23834398828139479510988224171342199299644042568628082836691700490363123893905",
+    )
+    .unwrap();
+    let f2 = Fq::from_str(
+        "48343809612844640454129919255697536258606705076971130519928764925719046689317",
+    )
+    .unwrap();
+    let f3 = Fq::from_str(
+        "22704845471524346880579660022678666462201713488283356385810726260959369106033",
+    )
+    .unwrap();
+    let f4 = Fq::from_str(
+        "18897508522635316277030308074760673440128491438505204942623624791502972539393",
+    )
+    .unwrap();
+    assert!(!f1.is_zero());
+    assert!(!f2.is_zero());
+    assert!(!f3.is_zero());
+    assert_eq!(f1 * &f2 * &f3, f4);
+}
+
+#[test]
+fn test_fq_div() {
+    let f1 = Fq::from_str(
+        "31892744363926593013886463524057935370302352424137349660481695792871889573091",
+    )
+    .unwrap();
+    let f2 = Fq::from_str(
+        "47695868328933459965610498875668250916462767196500056002116961816137113470902",
+    )
+    .unwrap();
+    let f3 = Fq::from_str(
+        "29049672724678710659792141917402891276693777283079976086581207190825261000580",
+    )
+    .unwrap();
+    assert!(!f1.is_zero());
+    assert!(!f2.is_zero());
+    assert!(!f3.is_zero());
+    assert_eq!(f1 / &f2, f3);
+}
+
+#[test]
+fn test_fq_sub() {
+    let f1 = Fq::from_str(
+        "18695869713129401390241150743745601908470616448391638969502807001833388904079",
+    )
+    .unwrap();
+    let f2 = Fq::from_str(
+        "10105476028534616828778879109836101003805485072436929139123765141153277007373",
+    )
+    .unwrap();
+    let f3 = Fq::from_str(
+        "8590393684594784561462271633909500904665131375954709830379041860680111896706",
+    )
+    .unwrap();
+    assert!(!f1.is_zero());
+    assert!(!f2.is_zero());
+    assert!(!f3.is_zero());
+    assert_eq!(f1 - &f2, f3);
+}
+
+#[test]
+fn test_fq_double_in_place() {
+    let mut f1 = Fq::from_str(
+        "29729289787452206300641229002276778748586801323231253291984198106063944136114",
+    )
+    .unwrap();
+    let f3 = Fq::from_str(
+        "7022704399778222121834717496367591659483050145934868761364737512189307087715",
+    )
+    .unwrap();
+    assert!(!f1.is_zero());
+    assert!(!f3.is_zero());
+    f1.double_in_place();
+    assert_eq!(f1, f3);
+}
+
+#[test]
+fn test_fq_double_in_place_thrice() {
+    let mut f1 = Fq::from_str(
+        "32768907806651393940832831055386272949401004221411141755415956893066040832473",
+    )
+    .unwrap();
+    let f3 = Fq::from_str(
+        "52407761752706389608871686410346320244445823769178582752913020344774001921732",
+    )
+    .unwrap();
+    assert!(!f1.is_zero());
+    assert!(!f3.is_zero());
+    f1.double_in_place();
+    f1.double_in_place();
+    f1.double_in_place();
+    assert_eq!(f1, f3);
+}
+
+#[test]
+fn test_fq_generate_random_ed_on_bls12_381_point() {
+    let d = Fq::from_str(
+        "19257038036680949359750312669786877991949435402254120286184196891950884077233",
+    )
+    .unwrap();
+    let y = Fq::from_str(
+        "20269054604167148422407276086932743904275456233139568486008667107872965128512",
+    )
+    .unwrap();
+    let x2 = Fq::from_str(
+        "35041048504708632193693740149219726446678304552734087046982753200179718192840",
+    )
+    .unwrap();
+
+    let computed_y2 = y.square();
+    let y2 = Fq::from_str(
+        "22730681238307918419349440108285755984465605552827817317611903495170775437833",
+    )
+    .unwrap();
+    assert_eq!(y2, computed_y2);
+
+    let computed_dy2 = d * &computed_y2;
+    let dy2 = Fq::from_str(
+        "24720347560552809545835752815204882739669031262711919770503096707526812943411",
+    )
+    .unwrap();
+    assert_eq!(dy2, computed_dy2);
+
+    let computed_divisor = computed_dy2 + &Fq::one();
+    let divisor = Fq::from_str(
+        "24720347560552809545835752815204882739669031262711919770503096707526812943412",
+    )
+    .unwrap();
+    assert_eq!(divisor, computed_divisor);
+
+    let computed_x2 = (computed_y2 - &Fq::one()) / &computed_divisor;
+    assert_eq!(x2, computed_x2);
+
+    let x = Fq::from_str(
+        "15337652609730546173818014678723269532482775720866471265774032070871608223361",
+    )
+    .unwrap();
+    let computed_x = computed_x2.sqrt().unwrap();
+    assert_eq!(computed_x.square(), x2);
+    assert_eq!(x, computed_x);
+
+    fn add<'a>(curr: (Fq, Fq), other: &'a (Fq, Fq)) -> (Fq, Fq) {
+        let y1y2 = curr.1 * &other.1;
+        let x1x2 = curr.0 * &other.0;
+        let d = Fq::from_str(
+            "19257038036680949359750312669786877991949435402254120286184196891950884077233",
+        )
+        .unwrap();
+        let dx1x2y1y2 = d * &y1y2 * &x1x2;
+
+        let d1 = Fq::one() + &dx1x2y1y2;
+        let d2 = Fq::one() - &dx1x2y1y2;
+
+        let x1y2 = curr.0 * &other.1;
+        let y1x2 = curr.1 * &other.0;
+
+        let x = (x1y2 + &y1x2) / &d1;
+        let y = (y1y2 + &x1x2) / &d2;
+
+        (x, y)
+    }
+
+    let result = add((x, y), &(x, y));
+    let result = add(result, &result);
+    let result = add(result, &result);
+
+    let point_x = Fq::from_str(
+        "47259664076168047050113154262636619161204477920503059672059915868534495873964",
+    )
+    .unwrap();
+    let point_y = Fq::from_str(
+        "19016409245280491801573912449420132838852726543024859389273314249842195919690",
+    )
+    .unwrap();
+    assert_eq!((point_x, point_y), result);
+}
+
+#[test]
+fn test_fq_square_in_place() {
+    let mut f1 = Fq::from_str(
+        "34864651240005695523200639428464570946052769938774601449735727714436878540682",
+    )
+    .unwrap();
+    let f3 =
+        Fq::from_str("213133100629336594719108316042277780359104840987226496279264105585804377948")
+            .unwrap();
+    assert!(!f1.is_zero());
+    assert!(!f3.is_zero());
+    f1.square_in_place();
+    assert_eq!(f1, f3);
+}
+
+#[test]
+fn test_fq_sqrt() {
+    let f1 = Fq::from_str(
+        "10875927553327821418567659853801220899541454800710193788767706167237535308235",
+    )
+    .unwrap();
+    let f3 = Fq::from_str(
+        "10816221372957505053219354782681292880545918527618367765651802809826238616708",
+    )
+    .unwrap();
+    assert_eq!(f1.sqrt().unwrap(), f3);
+}
+
+#[test]
+fn test_fq_from_str() {
+    let f1_from_repr = Fq::from(BigInteger([
+        0xab8a2535947d1a77,
+        0x9ba74cbfda0bbcda,
+        0xe928b59724d60baf,
+        0x1cccaaeb9bb1680a,
+    ]));
+    let f1 = Fq::from_str(
+        "13026376210409056429264774981357153555336288129100724591327877625017068755575",
+    )
+    .unwrap();
+    let f2_from_repr = Fq::from(BigInteger([
+        0x97e9103775d2f35c,
+        0xbe6756b6c587544b,
+        0x6ee38c3afd88ef4b,
+        0x2bacd150f540c677,
+    ]));
+    let f2 = Fq::from_str(
+        "19754794831832707859764530223239420866832328728734160755396495950822165902172",
+    )
+    .unwrap();
+    assert_eq!(f1_from_repr, f1);
+    assert_eq!(f2_from_repr, f2);
+}
+
+#[test]
+fn test_fq_legendre() {
+    assert_eq!(QuadraticResidue, Fq::one().legendre());
+    assert_eq!(Zero, Fq::zero().legendre());
+
+    let e = BigInteger([
+        0x0dbc5349cd5664da,
+        0x8ac5b6296e3ae29d,
+        0x127cb819feceaa3b,
+        0x3a6b21fb03867191,
+    ]);
+    assert_eq!(QuadraticResidue, Fq::from(e).legendre());
+    let e = BigInteger([
+        0x96341aefd047c045,
+        0x9b5f4254500a4d65,
+        0x1ee08223b68ac240,
+        0x31d9cd545c0ec7c6,
+    ]);
+    assert_eq!(QuadraticNonResidue, Fq::from(e).legendre());
+}
+
+#[test]
+fn test_fq_bytes() {
+    let f1_from_repr = Fq::from(BigInteger([
+        0xab8a2535947d1a77,
+        0x9ba74cbfda0bbcda,
+        0xe928b59724d60baf,
+        0x1cccaaeb9bb1680a,
+    ]));
+
+    let mut f1_bytes = [0u8; 32];
+    f1_from_repr.write(f1_bytes.as_mut()).unwrap();
+
+    let f1 = Fq::read(f1_bytes.as_ref()).unwrap();
+    assert_eq!(f1_from_repr, f1);
+}
+
+#[test]
+fn test_fr_add() {
+    let f1 = Fr::from(BigInteger([
+        0xc81265fb4130fe0c,
+        0xb308836c14e22279,
+        0x699e887f96bff372,
+        0x84ecc7e76c11ad,
+    ]));
+    let f2 = Fr::from(BigInteger([
+        0x71875719b422efb8,
+        0x0043658e68a93612,
+        0x9fa756be2011e833,
+        0xaa2b2cb08dac497,
+    ]));
+    let f3 = Fr::from(BigInteger([
+        0x3999bd14f553edc4,
+        0xb34be8fa7d8b588c,
+        0x0945df3db6d1dba5,
+        0xb279f92f046d645,
+    ]));
+    assert_eq!(f1 + &f2, f3);
+}
+
+#[test]
+fn test_fr_mul() {
+    let f1 = Fr::from(BigInteger([
+        0xc81265fb4130fe0c,
+        0xb308836c14e22279,
+        0x699e887f96bff372,
+        0x84ecc7e76c11ad,
+    ]));
+    let f2 = Fr::from(BigInteger([
+        0x71875719b422efb8,
+        0x43658e68a93612,
+        0x9fa756be2011e833,
+        0xaa2b2cb08dac497,
+    ]));
+    let f3 = Fr::from(BigInteger([
+        0xbe3e50c164fe3381,
+        0x5ac45bc180974585,
+        0x1c234ad6dcdc70c9,
+        0x15a75fba99bc8ad,
+    ]));
+    assert_eq!(f1 * &f2, f3);
+}
+
+#[test]
+fn test_fr_bytes() {
+    let f1_from_repr = Fr::from(BigInteger([
+        0xc81265fb4130fe0c,
+        0xb308836c14e22279,
+        0x699e887f96bff372,
+        0x84ecc7e76c11ad,
+    ]));
+
+    let mut f1_bytes = [0u8; 32];
+    f1_from_repr.write(f1_bytes.as_mut()).unwrap();
+
+    let f1 = Fr::read(f1_bytes.as_ref()).unwrap();
+    assert_eq!(f1_from_repr, f1);
+}
+
+#[test]
+fn test_fr_from_str() {
+    let f100_from_repr = Fr::from(BigInteger([0x64, 0, 0, 0]));
+    let f100 = Fr::from_str("100").unwrap();
+    assert_eq!(f100_from_repr, f100);
+}
--- a/ed_on_bls12_381_bandersnatch/src/lib.rs
+++ b/ed_on_bls12_381_bandersnatch/src/lib.rs
@@ -0,0 +1,37 @@
+#![cfg_attr(not(feature = "std"), no_std)]
+#![deny(
+    warnings,
+    unused,
+    future_incompatible,
+    nonstandard_style,
+    rust_2018_idioms
+)]
+#![forbid(unsafe_code)]
+
+//! This library implements the Bendersnatch curve, a twisted Edwards curve
+//! whose base field is the scalar field of the curve BLS12-381. This allows
+//! defining cryptographic primitives that use elliptic curves over the scalar
+//! field of the latter curve. This curve was generated by Simon Masson from
+//! Anoma, and Antonio Sanso from Ethereum Foundation, and is also known as [bandersnatch](https://ethresear.ch/t/introducing-bandersnatch-a-fast-elliptic-curve-built-over-the-bls12-381-scalar-field/9957).
+//!
+//! See [here](https://github.com/asanso/Bandersnatch/blob/main/README.md) for the specification of the curve.
+//! There was also a Python implementation [here](https://github.com/asanso/Bandersnatch/).
+//!
+//! Curve information:
+//! * Base field: q =
+//!   52435875175126190479447740508185965837690552500527637822603658699938581184513
+//! * Scalar field: r =
+//!   13108968793781547619861935127046491459309155893440570251786403306729687672801
+//! * Valuation(q - 1, 2) = 32
+//! * Valuation(r - 1, 2) = 5
+//! * Curve equation: ax^2 + y^2 =1 + dx^2y^2, where
+//!    * a = -5
+//!    * d = 45022363124591815672509500913686876175488063829319466900776701791074614335719
+
+#[cfg(feature = "r1cs")]
+pub mod constraints;
+mod curves;
+mod fields;
+
+pub use curves::*;
+pub use fields::*;
--- a/ed_on_bn254/Cargo.toml
+++ b/ed_on_bn254/Cargo.toml
@@ -1,10 +1,10 @@
 [package]
 name = "ark-ed-on-bn254"
-version = "0.2.0"
+version = "0.3.0"
 authors = [ "arkworks contributors" ]
 description = "A Twisted Edwards curve defined over the scalar field of the BN254 curve"
 homepage = "https://arkworks.rs"
-repository = "https://github.com/arkworks-rs/algebra"
+repository = "https://github.com/arkworks-rs/curves"
 documentation = "https://docs.rs/ark-ed-on-bn254/"
 keywords = ["cryptography", "finite-fields", "elliptic-curves" ]
 categories = ["cryptography"]
@@ -13,16 +13,16 @@ license = "MIT/Apache-2.0"
 edition = "2018"

 [dependencies]
-ark-ff = { version = "^0.2.0", default-features = false }
-ark-ec = { version = "^0.2.0", default-features = false }
-ark-std = { version = "^0.2.0", default-features = false }
-ark-r1cs-std = { version = "^0.2.0", default-features = false, optional = true }
-ark-bn254 = { version = "^0.2.0", path = "../bn254", default-features = false, features = [ "scalar_field" ] }
+ark-ff = { version = "^0.3.0", default-features = false }
+ark-ec = { version = "^0.3.0", default-features = false }
+ark-std = { version = "^0.3.0", default-features = false }
+ark-r1cs-std = { version = "^0.3.0", default-features = false, optional = true }
+ark-bn254 = { version = "^0.3.0", path = "../bn254", default-features = false, features = [ "scalar_field" ] }

 [dev-dependencies]
-ark-relations = { version = "^0.2.0", default-features = false }
-ark-serialize = { version = "^0.2.0", default-features = false }
-ark-algebra-test-templates = { version = "^0.2.0", default-features = false }
+ark-relations = { version = "^0.3.0", default-features = false }
+ark-serialize = { version = "^0.3.0", default-features = false }
+ark-algebra-test-templates = { version = "^0.3.0", default-features = false }
 ark-curve-constraint-tests = { path = "../curve-constraint-tests", default-features = false }

 [features]
--- a/ed_on_bw6_761/Cargo.toml
+++ b/ed_on_bw6_761/Cargo.toml
@@ -1,10 +1,10 @@
 [package]
 name = "ark-ed-on-bw6-761"
-version = "0.2.0"
+version = "0.3.0"
 authors = [ "arkworks contributors" ]
 description = "A Twisted Edwards curve defined over the scalar field of the BW6-761 curve"
 homepage = "https://arkworks.rs"
-repository = "https://github.com/arkworks-rs/algebra"
+repository = "https://github.com/arkworks-rs/curves"
 documentation = "https://docs.rs/ark-ed-on-bw6-761/"
 keywords = ["cryptography", "finite-fields", "elliptic-curves" ]
 categories = ["cryptography"]
@@ -13,13 +13,13 @@ license = "MIT/Apache-2.0"
 edition = "2018"

 [dependencies]
-ark-ed-on-cp6-782 = { version = "^0.2.0", path = "../ed_on_cp6_782", default-features = false }
+ark-ed-on-cp6-782 = { version = "^0.3.0", path = "../ed_on_cp6_782", default-features = false }

 [dev-dependencies]
-ark-relations = { version = "^0.2.0", default-features = false }
-ark-r1cs-std = { version = "^0.2.0", default-features = false }
-ark-ff = { version = "^0.2.0", default-features = false }
-ark-std = { version = "^0.2.0", default-features = false }
+ark-relations = { version = "^0.3.0", default-features = false }
+ark-r1cs-std = { version = "^0.3.0", default-features = false }
+ark-ff = { version = "^0.3.0", default-features = false }
+ark-std = { version = "^0.3.0", default-features = false }

 [features]
 default = []
--- a/ed_on_cp6_782/Cargo.toml
+++ b/ed_on_cp6_782/Cargo.toml
@@ -1,10 +1,10 @@
 [package]
 name = "ark-ed-on-cp6-782"
-version = "0.2.0"
+version = "0.3.0"
 authors = [ "arkworks contributors" ]
 description = "A Twisted Edwards curve defined over the scalar field of the CP6-782 curve"
 homepage = "https://arkworks.rs"
-repository = "https://github.com/arkworks-rs/algebra"
+repository = "https://github.com/arkworks-rs/curves"
 documentation = "https://docs.rs/ark-ed-on-cp6-782/"
 keywords = ["cryptography", "finite-fields", "elliptic-curves" ]
 categories = ["cryptography"]
@@ -13,16 +13,16 @@ license = "MIT/Apache-2.0"
 edition = "2018"

 [dependencies]
-ark-ff = { version = "^0.2.0", default-features = false }
-ark-ec = { version = "^0.2.0", default-features = false }
-ark-std = { version = "^0.2.0", default-features = false }
-ark-r1cs-std = { version = "^0.2.0", default-features = false, optional = true }
-ark-bls12-377 = { version = "^0.2.0", path = "../bls12_377", default-features = false, features = [ "base_field" ] }
+ark-ff = { version = "^0.3.0", default-features = false }
+ark-ec = { version = "^0.3.0", default-features = false }
+ark-std = { version = "^0.3.0", default-features = false }
+ark-r1cs-std = { version = "^0.3.0", default-features = false, optional = true }
+ark-bls12-377 = { version = "^0.3.0", path = "../bls12_377", default-features = false, features = [ "base_field" ] }

 [dev-dependencies]
-ark-relations = { version = "^0.2.0", default-features = false }
-ark-serialize = { version = "^0.2.0", default-features = false }
-ark-algebra-test-templates = { version = "^0.2.0", default-features = false }
+ark-relations = { version = "^0.3.0", default-features = false }
+ark-serialize = { version = "^0.3.0", default-features = false }
+ark-algebra-test-templates = { version = "^0.3.0", default-features = false }
 ark-curve-constraint-tests = { path = "../curve-constraint-tests", default-features = false }

 [features]
--- a/ed_on_mnt4_298/Cargo.toml
+++ b/ed_on_mnt4_298/Cargo.toml
@@ -1,10 +1,10 @@
 [package]
 name = "ark-ed-on-mnt4-298"
-version = "0.2.0"
+version = "0.3.0"
 authors = [ "arkworks contributors" ]
 description = "A Twisted Edwards curve defined over the scalar field of the MNT4-298 curve"
 homepage = "https://arkworks.rs"
-repository = "https://github.com/arkworks-rs/algebra"
+repository = "https://github.com/arkworks-rs/curves"
 documentation = "https://docs.rs/ark-ed-on-mnt4-298/"
 keywords = ["cryptography", "finite-fields", "elliptic-curves" ]
 categories = ["cryptography"]
@@ -13,16 +13,16 @@ license = "MIT/Apache-2.0"
 edition = "2018"

 [dependencies]
-ark-ff = { version = "^0.2.0", default-features = false }
-ark-ec = { version = "^0.2.0", default-features = false }
-ark-std = { version = "^0.2.0", default-features = false }
-ark-r1cs-std = { version = "^0.2.0", default-features = false, optional = true }
-ark-mnt4-298 = { version = "^0.2.0", path = "../mnt4_298", default-features = false, features = [ "scalar_field" ] }
+ark-ff = { version = "^0.3.0", default-features = false }
+ark-ec = { version = "^0.3.0", default-features = false }
+ark-std = { version = "^0.3.0", default-features = false }
+ark-r1cs-std = { version = "^0.3.0", default-features = false, optional = true }
+ark-mnt4-298 = { version = "^0.3.0", path = "../mnt4_298", default-features = false, features = [ "scalar_field" ] }

 [dev-dependencies]
-ark-relations = { version = "^0.2.0", default-features = false }
-ark-serialize = { version = "^0.2.0", default-features = false }
-ark-algebra-test-templates = { version = "^0.2.0", default-features = false }
+ark-relations = { version = "^0.3.0", default-features = false }
+ark-serialize = { version = "^0.3.0", default-features = false }
+ark-algebra-test-templates = { version = "^0.3.0", default-features = false }
 ark-curve-constraint-tests = { path = "../curve-constraint-tests", default-features = false }

 [features]
--- a/ed_on_mnt4_753/Cargo.toml
+++ b/ed_on_mnt4_753/Cargo.toml
@@ -1,10 +1,10 @@
 [package]
 name = "ark-ed-on-mnt4-753"
-version = "0.2.0"
+version = "0.3.0"
 authors = [ "arkworks contributors" ]
 description = "A Twisted Edwards curve defined over the scalar field of the MNT4-753 curve"
 homepage = "https://arkworks.rs"
-repository = "https://github.com/arkworks-rs/algebra"
+repository = "https://github.com/arkworks-rs/curves"
 documentation = "https://docs.rs/ark-ed-on-mnt4-753/"
 keywords = ["cryptography", "finite-fields", "elliptic-curves" ]
 categories = ["cryptography"]
@@ -13,16 +13,16 @@ license = "MIT/Apache-2.0"
 edition = "2018"

 [dependencies]
-ark-ff = { version = "^0.2.0", default-features = false }
-ark-ec = { version = "^0.2.0", default-features = false }
-ark-std = { version = "^0.2.0", default-features = false }
-ark-r1cs-std = { version = "^0.2.0", default-features = false, optional = true }
-ark-mnt4-753 = { version = "^0.2.0", path = "../mnt4_753", default-features = false, features = [ "scalar_field" ] }
+ark-ff = { version = "^0.3.0", default-features = false }
+ark-ec = { version = "^0.3.0", default-features = false }
+ark-std = { version = "^0.3.0", default-features = false }
+ark-r1cs-std = { version = "^0.3.0", default-features = false, optional = true }
+ark-mnt4-753 = { version = "^0.3.0", path = "../mnt4_753", default-features = false, features = [ "scalar_field" ] }

 [dev-dependencies]
-ark-relations = { version = "^0.2.0", default-features = false }
-ark-serialize = { version = "^0.2.0", default-features = false }
-ark-algebra-test-templates = { version = "^0.2.0", default-features = false }
+ark-relations = { version = "^0.3.0", default-features = false }
+ark-serialize = { version = "^0.3.0", default-features = false }
+ark-algebra-test-templates = { version = "^0.3.0", default-features = false }
 ark-curve-constraint-tests = { path = "../curve-constraint-tests", default-features = false }

 [features]
--- a/mnt4_298/Cargo.toml
+++ b/mnt4_298/Cargo.toml
@@ -1,10 +1,10 @@
 [package]
 name = "ark-mnt4-298"
-version = "0.2.0"
+version = "0.3.0"
 authors = [ "arkworks contributors" ]
 description = "The MNT4-298 pairing-friendly elliptic curve"
 homepage = "https://arkworks.rs"
-repository = "https://github.com/arkworks-rs/algebra"
+repository = "https://github.com/arkworks-rs/curves"
 documentation = "https://docs.rs/ark-mnt4-298/"
 keywords = ["cryptography", "finite-fields" ]
 categories = ["cryptography"]
@@ -13,15 +13,15 @@ license = "MIT/Apache-2.0"
 edition = "2018"

 [dependencies]
-ark-ff = { version = "^0.2.0", default-features = false }
-ark-ec = { version = "^0.2.0", default-features = false }
-ark-std = { version = "^0.2.0", default-features = false }
-ark-r1cs-std = { version = "^0.2.0", default-features = false, optional = true }
+ark-ff = { version = "^0.3.0", default-features = false }
+ark-ec = { version = "^0.3.0", default-features = false }
+ark-std = { version = "^0.3.0", default-features = false }
+ark-r1cs-std = { version = "^0.3.0", default-features = false, optional = true }

 [dev-dependencies]
-ark-relations = { version = "^0.2.0", default-features = false }
-ark-serialize = { version = "^0.2.0", default-features = false }
-ark-algebra-test-templates = { version = "^0.2.0", default-features = false }
+ark-relations = { version = "^0.3.0", default-features = false }
+ark-serialize = { version = "^0.3.0", default-features = false }
+ark-algebra-test-templates = { version = "^0.3.0", default-features = false }
 ark-curve-constraint-tests = { path = "../curve-constraint-tests", default-features = false }

 [features]
--- a/mnt4_298/src/curves/g1.rs
+++ b/mnt4_298/src/curves/g1.rs
@@ -19,12 +19,12 @@ impl ModelParameters for Parameters {

 impl SWModelParameters for Parameters {
    /// COEFF_A = 2
-    /// Reference: https://github.com/scipr-lab/libff/blob/c927821ebe02e0a24b5e0f9170cec5e211a35f08/libff/algebra/curves/mnt/mnt4/mnt4_init.cpp#L116
+    /// Reference: <https://github.com/scipr-lab/libff/blob/c927821ebe02e0a24b5e0f9170cec5e211a35f08/libff/algebra/curves/mnt/mnt4/mnt4_init.cpp#L116>
    #[rustfmt::skip]
    const COEFF_A: Fq = field_new!(Fq, "2");

    /// COEFF_B = 423894536526684178289416011533888240029318103673896002803341544124054745019340795360841685
-    /// Reference: https://github.com/scipr-lab/libff/blob/c927821ebe02e0a24b5e0f9170cec5e211a35f08/libff/algebra/curves/mnt/mnt4/mnt4_init.cpp#L117
+    /// Reference: <https://github.com/scipr-lab/libff/blob/c927821ebe02e0a24b5e0f9170cec5e211a35f08/libff/algebra/curves/mnt/mnt4/mnt4_init.cpp#L117>
    #[rustfmt::skip]
    const COEFF_B: Fq = field_new!(Fq, "423894536526684178289416011533888240029318103673896002803341544124054745019340795360841685");

@@ -45,11 +45,11 @@ impl SWModelParameters for Parameters {
 // X = 60760244141852568949126569781626075788424196370144486719385562369396875346601926534016838,
 // Y = 363732850702582978263902770815145784459747722357071843971107674179038674942891694705904306,
 /// G1_GENERATOR_X
-/// Reference: https://github.com/scipr-lab/libff/blob/c927821ebe02e0a24b5e0f9170cec5e211a35f08/libff/algebra/curves/mnt/mnt4/mnt4_init.cpp#L137
+/// Reference: <https://github.com/scipr-lab/libff/blob/c927821ebe02e0a24b5e0f9170cec5e211a35f08/libff/algebra/curves/mnt/mnt4/mnt4_init.cpp#L137>
 #[rustfmt::skip]
 pub const G1_GENERATOR_X: Fq = field_new!(Fq, "60760244141852568949126569781626075788424196370144486719385562369396875346601926534016838");

 /// G1_GENERATOR_Y
-/// Reference: https://github.com/scipr-lab/libff/blob/c927821ebe02e0a24b5e0f9170cec5e211a35f08/libff/algebra/curves/mnt/mnt4/mnt4_init.cpp#L138
+/// Reference: <https://github.com/scipr-lab/libff/blob/c927821ebe02e0a24b5e0f9170cec5e211a35f08/libff/algebra/curves/mnt/mnt4/mnt4_init.cpp#L138>
 #[rustfmt::skip]
 pub const G1_GENERATOR_Y: Fq = field_new!(Fq, "363732850702582978263902770815145784459747722357071843971107674179038674942891694705904306");
--- a/mnt4_753/Cargo.toml
+++ b/mnt4_753/Cargo.toml
@@ -1,10 +1,10 @@
 [package]
 name = "ark-mnt4-753"
-version = "0.2.0"
+version = "0.3.0"
 authors = [ "arkworks contributors" ]
 description = "The MNT4-753 pairing-friendly elliptic curve"
 homepage = "https://arkworks.rs"
-repository = "https://github.com/arkworks-rs/algebra"
+repository = "https://github.com/arkworks-rs/curves"
 documentation = "https://docs.rs/ark-mnt4-753/"
 keywords = ["cryptography", "finite-fields" ]
 categories = ["cryptography"]
@@ -13,15 +13,15 @@ license = "MIT/Apache-2.0"
 edition = "2018"

 [dependencies]
-ark-ff = { version = "^0.2.0", default-features = false }
-ark-ec = { version = "^0.2.0", default-features = false }
-ark-std = { version = "^0.2.0", default-features = false }
-ark-r1cs-std = { version = "^0.2.0", default-features = false, optional = true }
+ark-ff = { version = "^0.3.0", default-features = false }
+ark-ec = { version = "^0.3.0", default-features = false }
+ark-std = { version = "^0.3.0", default-features = false }
+ark-r1cs-std = { version = "^0.3.0", default-features = false, optional = true }

 [dev-dependencies]
-ark-relations = { version = "^0.2.0", default-features = false }
-ark-serialize = { version = "^0.2.0", default-features = false }
-ark-algebra-test-templates = { version = "^0.2.0", default-features = false }
+ark-relations = { version = "^0.3.0", default-features = false }
+ark-serialize = { version = "^0.3.0", default-features = false }
+ark-algebra-test-templates = { version = "^0.3.0", default-features = false }
 ark-curve-constraint-tests = { path = "../curve-constraint-tests", default-features = false }

 [features]
--- a/mnt6_298/Cargo.toml
+++ b/mnt6_298/Cargo.toml
@@ -1,10 +1,10 @@
 [package]
 name = "ark-mnt6-298"
-version = "0.2.0"
+version = "0.3.0"
 authors = [ "arkworks contributors" ]
 description = "The MNT6-298 pairing-friendly elliptic curve"
 homepage = "https://arkworks.rs"
-repository = "https://github.com/arkworks-rs/algebra"
+repository = "https://github.com/arkworks-rs/curves"
 documentation = "https://docs.rs/ark-mnt6-298/"
 keywords = ["cryptography", "finite-fields", "elliptic-curves"]
 categories = ["cryptography"]
@@ -13,16 +13,16 @@ license = "MIT/Apache-2.0"
 edition = "2018"

 [dependencies]
-ark-ff = { version = "^0.2.0", default-features = false }
-ark-ec = { version = "^0.2.0", default-features = false }
-ark-std = { version = "^0.2.0", default-features = false }
-ark-r1cs-std = { version = "^0.2.0", default-features = false, optional = true }
-ark-mnt4-298 = { version = "^0.2.0", path = "../mnt4_298", default-features = false, features = [ "scalar_field", "base_field" ] }
+ark-ff = { version = "^0.3.0", default-features = false }
+ark-ec = { version = "^0.3.0", default-features = false }
+ark-std = { version = "^0.3.0", default-features = false }
+ark-r1cs-std = { version = "^0.3.0", default-features = false, optional = true }
+ark-mnt4-298 = { version = "^0.3.0", path = "../mnt4_298", default-features = false, features = [ "scalar_field", "base_field" ] }

 [dev-dependencies]
-ark-relations = { version = "^0.2.0", default-features = false }
-ark-serialize = { version = "^0.2.0", default-features = false }
-ark-algebra-test-templates = { version = "^0.2.0", default-features = false }
+ark-relations = { version = "^0.3.0", default-features = false }
+ark-serialize = { version = "^0.3.0", default-features = false }
+ark-algebra-test-templates = { version = "^0.3.0", default-features = false }
 ark-curve-constraint-tests = { path = "../curve-constraint-tests", default-features = false }

 [features]
--- a/mnt6_753/Cargo.toml
+++ b/mnt6_753/Cargo.toml
@@ -1,10 +1,10 @@
 [package]
 name = "ark-mnt6-753"
-version = "0.2.0"
+version = "0.3.0"
 authors = [ "arkworks contributors" ]
 description = "The MNT6-753 pairing-friendly elliptic curve"
 homepage = "https://arkworks.rs"
-repository = "https://github.com/arkworks-rs/algebra"
+repository = "https://github.com/arkworks-rs/curves"
 documentation = "https://docs.rs/ark-mnt6-753/"
 keywords = ["cryptography", "finite-fields", "elliptic-curves" ]
 categories = ["cryptography"]
@@ -13,16 +13,16 @@ license = "MIT/Apache-2.0"
 edition = "2018"

 [dependencies]
-ark-ff = { version = "^0.2.0", default-features = false }
-ark-ec = { version = "^0.2.0", default-features = false }
-ark-std = { version = "^0.2.0", default-features = false }
-ark-r1cs-std = {  version = "^0.2.0", default-features = false, optional = true }
-ark-mnt4-753 = { version = "^0.2.0", path = "../mnt4_753", default-features = false, features = [ "scalar_field", "base_field" ] }
+ark-ff = { version = "^0.3.0", default-features = false }
+ark-ec = { version = "^0.3.0", default-features = false }
+ark-std = { version = "^0.3.0", default-features = false }
+ark-r1cs-std = {  version = "^0.3.0", default-features = false, optional = true }
+ark-mnt4-753 = { version = "^0.3.0", path = "../mnt4_753", default-features = false, features = [ "scalar_field", "base_field" ] }

 [dev-dependencies]
-ark-relations = { version = "^0.2.0", default-features = false }
-ark-serialize = { version = "^0.2.0", default-features = false }
-ark-algebra-test-templates = { version = "^0.2.0", default-features = false }
+ark-relations = { version = "^0.3.0", default-features = false }
+ark-serialize = { version = "^0.3.0", default-features = false }
+ark-algebra-test-templates = { version = "^0.3.0", default-features = false }
 ark-curve-constraint-tests = { path = "../curve-constraint-tests", default-features = false }

 [features]
--- a/pallas/Cargo.toml
+++ b/pallas/Cargo.toml
@@ -1,6 +1,6 @@
 [package]
 name = "ark-pallas"
-version = "0.2.0"
+version = "0.3.0"
 authors = [ "Ying Tong Lai", "Daira Hopwood", "O(1) Labs", "arkworks contributors" ]
 description = "The Pallas prime-order elliptic curve"
 homepage = "https://arkworks.rs"
@@ -13,15 +13,15 @@ license = "MIT/Apache-2.0"
 edition = "2018"

 [dependencies]
-ark-ff = { version = "^0.2.0", default-features = false }
-ark-ec = { version = "^0.2.0", default-features = false }
-ark-r1cs-std = { version = "^0.2.0", default-features = false, optional = true }
-ark-std = { version = "^0.2.0", default-features = false }
+ark-ff = { version = "^0.3.0", default-features = false }
+ark-ec = { version = "^0.3.0", default-features = false }
+ark-r1cs-std = { version = "^0.3.0", default-features = false, optional = true }
+ark-std = { version = "^0.3.0", default-features = false }

 [dev-dependencies]
-ark-relations = { version = "^0.2.0", default-features = false }
-ark-serialize = { version = "^0.2.0", default-features = false }
-ark-algebra-test-templates = { version = "^0.2.0", default-features = false }
+ark-relations = { version = "^0.3.0", default-features = false }
+ark-serialize = { version = "^0.3.0", default-features = false }
+ark-algebra-test-templates = { version = "^0.3.0", default-features = false }
 ark-curve-constraint-tests = { path = "../curve-constraint-tests", default-features = false }

 [features]
--- a/vesta/Cargo.toml
+++ b/vesta/Cargo.toml
@@ -1,6 +1,6 @@
 [package]
 name = "ark-vesta"
-version = "0.2.0"
+version = "0.3.0"
 authors = [ "Ying Tong Lai", "Daira Hopwood", "O(1) Labs", "arkworks contributors" ]
 description = "The Vesta prime-order elliptic curve"
 homepage = "https://arkworks.rs"
@@ -13,16 +13,16 @@ license = "MIT/Apache-2.0"
 edition = "2018"

 [dependencies]
-ark-ff = { version = "^0.2.0", default-features = false }
-ark-ec = { version = "^0.2.0", default-features = false }
-ark-r1cs-std = { version = "^0.2.0", default-features = false, optional = true }
-ark-std = { version = "^0.2.0", default-features = false }
-ark-pallas = { version = "^0.2.0", path = "../pallas", default-features = false, features = [ "scalar_field", "base_field" ] }
+ark-ff = { version = "^0.3.0", default-features = false }
+ark-ec = { version = "^0.3.0", default-features = false }
+ark-r1cs-std = { version = "^0.3.0", default-features = false, optional = true }
+ark-std = { version = "^0.3.0", default-features = false }
+ark-pallas = { version = "^0.3.0", path = "../pallas", default-features = false, features = [ "scalar_field", "base_field" ] }

 [dev-dependencies]
-ark-relations = { version = "^0.2.0", default-features = false }
-ark-serialize = { version = "^0.2.0", default-features = false }
-ark-algebra-test-templates = { version = "^0.2.0", default-features = false }
+ark-relations = { version = "^0.3.0", default-features = false }
+ark-serialize = { version = "^0.3.0", default-features = false }
+ark-algebra-test-templates = { version = "^0.3.0", default-features = false }
 ark-curve-constraint-tests = { path = "../curve-constraint-tests", default-features = false }

 [features]
Author	SHA1	Message	Date
Solomon	60b6e5d63b	Renamed add_nocarry and sub_noborrow for curves	2021-10-21 12:24:02 -07:00
zhenfei	461e4190b1	adding SW parameters for `Bandersnatch` curve (#67 ) Co-authored-by: Pratyush Mishra <pratyushmishra@berkeley.edu>	2021-10-20 10:12:15 -07:00
zhenfei	5fe1862c9a	Twisted Edwards parameters for BLS12-377 (#76 ) Co-authored-by: Pratyush Mishra <pratyushmishra@berkeley.edu>	2021-10-19 11:30:41 -07:00
Simon Masson	2118e14b6a	Use Scott's subgroup membership tests for `G1` and `G2` of BLS12-381. (#74 ) * implementation of the fast subgroup check for bls12_381 * add a bench * subgroup check for g1 * subgroup check modifications * remove useless test * fmt * need the last version of arkworks/algebra * remove Parameters0 * using projective points is more efficient * use of projective coordinates in G2 * fmt * documentation on the constants and the psi function * references for algorithms of eprint 2021/1130 * fmt * sed ^ ** * minor improvement * fmt * fix Cargo toml * nits * some cleanup for g1 * add the beta test back * fmt * g2 * changelog * add a note on the Cargo.toml * nits * avoid variable name conflicts * add the early-out optimization Co-authored-by: weikeng <w.k@berkeley.edu>	2021-09-25 10:34:13 -07:00
Weikeng Chen	b5c2d8eba3	Fix a comment on Bandersnatch's TEModelParameters (#65 ) Pratyush noticed a comment regarding COEFF_A has not been updated. This PR fixes so.	2021-06-30 20:14:37 -07:00
zhenfei	129795aa4c	Implement the Bandersnatch curve (#64 ) * impl bandersnatch * clean up * update changelog * Relocate the readme so they show up in the doc * Delete README.md * Relocate the changelog entry * rename & fmt Co-authored-by: Weikeng Chen <w.k@berkeley.edu>	2021-06-29 18:04:08 -07:00
George Gkitsas	a9cb9bfcb2	Fix incorrect repository links in `Cargo.toml` files (#63 ) * fixes repository in cargo files * lint fixes	2021-06-23 08:58:50 -07:00
Weikeng Chen	d2c998736e	Release v0.3.0 (#62 ) * release * update CHANGELOG.md	2021-06-06 13:47:19 -07:00
Alex Ozdemir	ada1fdac07	Fix Bls12-377 scalar group generator (#60 ) * Fix Bls12-377 scalar group generator Previously we used 11 as a generator, which has order (p-1)/35. Now we use 22, which has the right order. Fixed the two-adic root of unity in accordance with the new generator. fixes #47 * add the CHANGE LOG Co-authored-by: weikeng <w.k@berkeley.edu>	2021-05-06 16:46:22 -07:00
Weikeng Chen	8c795ec0cf	Update the documentation of BN254's field parameters (#59 )	2021-05-06 08:22:07 -07:00
Daira Hopwood	9d232a7dcd	Fix a comment describing BN254. (#55 ) Signed-off-by: Daira Hopwood <daira@jacaranda.org>	2021-04-16 14:54:33 -07:00
Daira Hopwood	4d6c49640c	Add benchmarks for Pallas and Vesta curves. (#53 ) Signed-off-by: Daira Hopwood <daira@jacaranda.org>	2021-04-16 10:18:06 -07:00
Pratyush Mishra	880a010f5e	Reduce CI time by parallelizing per-curve tests (#52 )	2021-04-11 14:53:06 -07:00
Dev Ojha	269fe97519	Release v0.2 (#51 )	2021-03-24 20:18:59 -05:00
				`@@ -0,0 +1 @@`
				`pub use ark_bls12_381::{Fr as Fq, FrParameters as FqParameters};`