Implement WB hash2curve for BLS12-377 and BLS12-381 (#138)

* include the coefficients of bls12-377 G1 and G2 isogenies for wb hash2curve

* replacing the ark-ec dependency to w3f/arkworks-algebra

* added parameters for isogenous curve to bls12-377 g1 curve for swu map

* fix dependency inconsistency problem

* implement WBParams and its isogenous curve for BLS12-377 G1

* implement the SWUParameters for isogenous curve to BLS12-377 g2 curve.

* implement WBParams for BLS12-377 G2 curve

* replacing const generic arrays with const slice in g1 and g2 iso coefficients

* - Implement WB hash to curve for BLS12-381 G1
- Improvement to WB hash to curve code for BLS12-377
- Update sage code for generating isogeny coefficients for arkworks.

* Implement WB hash to curve for BLS12-381 G2

* - fix the bug with base order for field_new for Fq2
- fix the polynomial coeffcient order for bls12-381 g1 and g2 isogenies.
- fix the polynomial coeffcient order for bls12-377 g1.
377-g2 needs to be fixed still.

* fix bls12-377 wb hash to curve isogeny coeffcients

* fixed sage code for generating the isogeny coefficients

* use patch.crates-io hack to resolve dependancy issues on w3f fork

* Rename `Parameters` to `Config` for all fields

* Rename `field_new` to `MontFp`

* Rename `field_new` to `QuadExt` and `CubicExt`

* Refactor bls12_381 crate based on update-ff branch. Close #9

* adapt bls12 wb hashing to new changes in algebra

* update bls12-381 dependancies and g1, g2 definition to pass tests

* adapt bls12-377 hash to curve to algebar updates

* depend on upstream for pull request

* cargo fmt

* - move the isogeny finder script from sage to script folder
- delete auxiliary isogeny coeff file

* add unit tests for wb hashing to bls12-377 g1 and g2

* - Use IsogenyMap struct to specify WB Isogeny for bls12-381 and bls12-377
- Do not use auxiliary constants to define generators of g2_swu_iso curve.
- Update change log

* Bump the Algebra dependencies of bls12_381 and bls12_377 to 0.4.0-alpha.4 so they could use the IsogenyMap struct.

* Add h2c tests for BLS12-381 curve

* Drop alpha sub-version in dependancies because it takes the lastest sub version

* Parameters → Config for bls12-377/381 curves

* do cargo fmt

* do SwuIsoParameters → SwuIsoConfig for bls12-377/381

* Adapt to new macro

* Fix macro invocation

should be semicolon not comma

* curves master should use algebra/r1cs default branch

* Add h2c test invocation for bls12-377 curve

no actual test vectors yet

* add faster cofactor clearing and tests for g1

* add faster cofactor clearing and tests for g2

parameters of endomorphisms are wrong for now

* add test vectors for bls12-377

* add h_eff to g2 tests for correctness


test

* improve cofactor tests g2

* add a test for psi(psi(P)) == psi2(P)

* fix bls12-377 psi & psi2 computation parameters

* rename const to DOUBLE_P_POWER_ENDOMORPHISM_COEFF_0 and make private

* fix clippy warnings in changed code

* use the same zeta as test suites

* update code comments, make methods private

* update changelog

Co-authored-by: Pratyush Mishra <pratyushmishra@berkeley.edu>
Co-authored-by: mmagician <marcin.gorny.94@protonmail.com>

secq256k1/src/curves/mod.rs

@@ -43,10 +43,12 @@ impl SWCurveConfig for Config {
     }
 }
 
-/// G_GENERATOR_X = 53718550993811904772965658690407829053653678808745171666022356150019200052646
+/// G_GENERATOR_X =
+/// 53718550993811904772965658690407829053653678808745171666022356150019200052646
 pub const G_GENERATOR_X: Fq =
     MontFp!("53718550993811904772965658690407829053653678808745171666022356150019200052646");
 
-/// G_GENERATOR_Y = 28941648020349172432234515805717979317553499307621291159490218670604692907903
+/// G_GENERATOR_Y =
+/// 28941648020349172432234515805717979317553499307621291159490218670604692907903
 pub const G_GENERATOR_Y: Fq =
     MontFp!("28941648020349172432234515805717979317553499307621291159490218670604692907903");

secq256k1/src/fields/fq.rs

@@ -1,2 +1 @@
-pub use ark_secp256k1::Fr as Fq;
-pub use ark_secp256k1::FrConfig as FqConfig;
+pub use ark_secp256k1::{Fr as Fq, FrConfig as FqConfig};

secq256k1/src/fields/fr.rs

@@ -1,2 +1 @@
-pub use ark_secp256k1::Fq as Fr;
-pub use ark_secp256k1::FqConfig as FrConfig;
+pub use ark_secp256k1::{Fq as Fr, FqConfig as FrConfig};