Commit Graph

26 Commits

Author SHA1 Message Date
Mamy André-Ratsimbazafy ffc77cd087
Fix cofactor in BW6-761 naive final exp (but still buggy - see #152) 2021-02-07 10:24:52 +01:00
Mamy Ratsimbazafy 258e7e516f
[WIP] Pairings for bw6 761 (#108)
* Prepare BW6-761 pairing constants

* Extract the basic miller loop from pairings

* template and method call syntax issue

* Layout pairing for BW6-761

* Fix rebasing woes

* Try to match the paper (still buggy)

* Stash BW6-761
2021-02-07 09:46:41 +01:00
Mamy Ratsimbazafy 638cb71e16
Fr: Finite Field parametrized by the curve order (#115)
* Introduce Fr type: finite field over curve order. Need workaround for https://github.com/nim-lang/Nim/issues/16774

* Split curve properties into core and derived

* Attach field properties to an instantiated field instead of the curve enum

* Workaround https://github.com/nim-lang/Nim/issues/14021, yet another "working with types in macros" is difficult https://github.com/nim-lang/RFCs/issues/44

* Implement finite field over prime order of a curve subgroup

* skip OpenSSL tests on windows
2021-01-22 00:09:52 +01:00
Mamy Ratsimbazafy a022db1c08
Sqrt fp2 acceleration (#109)
* Use sqrt.square() == a instead of sqrt * invsqrt = -1 (Euler criterion) for sqrt existence.

* Accelerate sqrt_fp2 by 33%
2020-12-13 17:08:32 +01:00
Mamy Ratsimbazafy 244f58350c
Implement BW6-761 Endomorphism acceleration (#104)
* Implement BW6-761 GLV on G1 + Psi Untwist-Frobenius-Twist

* Fix frobenius constants for embedding degree != 12

* Fix test type/parsing issues

* Generalize frobenius map coefficient formula

* Fix Frobenius Psi generalization

* Don't confuse t and trace of frobenius + update scalarMul to use Frobenius on Fp Twist

* Fix ec_sage type definition

* fix decription [skip ci]

* update comment [skip ci]

* typo

* restore frobenius tests iterations
2020-10-13 23:58:35 +02:00
Mamy Ratsimbazafy a2f46f77b7
Sage constants & tests codegen (#101)
* Implement a Sage codegenerator for frobenius constants

* Sage codegen for pairings

* Autogen of endomorphism acceleration constants

* The autogen fixed a copy-paste bug in lattice decomposition. We can use conditional negation now and save an add+dbl in scalar mul

* small fixes

* sage code for square root bls12-377 is not old

* readme updates

* Provide test suggestions for derive_frobenius

* indentation + add equation form to sage

* Sage test vector generator

* Use the json vectors
- includes type system workaround: generic sandwich https://github.com/nim-lang/Nim/issues/11225
- converting NimNode to typedesc: https://github.com/nim-lang/Nim/issues/6785

* Delete old sage code

* Install nim-serialization and nim-json-serialization in CI

* CI nimble install force yes
2020-10-10 16:19:23 +02:00
Mamy Ratsimbazafy 0e4dbfe400
BLS12-377 (#91)
* add Sage for constant time tonelli shanks

* Fused sqrt and invsqrt via Tonelli Shanks

* isolate sqrt in their own folder

* Implement constant-time Tonelli Shanks for any prime

* Implement Fp2 sqrt for any non-residue

* Add tests for BLS12_377

* Lattice decomposition script for BLS12_377 G1

* BLS12-377 G1 GLV ok, G2 GLV issue

* Proper endomorphism acceleration support for BLS12-377

* Add naive pairing support for BLS12-377

* Activate more bench for BLS12-377

* Fix MSB computation

* Optimize final exponentiation + add benches
2020-09-27 09:15:14 +02:00
Mamy André-Ratsimbazafy ac37b55aa1
publish the lattice decomposition finder mentioned in https://github.com/scipr-lab/zexe/issues/267 2020-09-26 15:33:41 +02:00
Mamy Ratsimbazafy 03ecb31c57
Pairings for BN254-Nogami and BN254-Snarks (#86)
* Implement optimized final exponentiation for BN254-Nogami

* And BN254 Snarks support

* Optimize D-Twist sparse Fp12 x line multiplication

* Move quadruple/octuple and add to Github issues: https://github.com/mratsim/constantine/issues/88 [skip ci]
2020-09-25 21:58:20 +02:00
Mamy André-Ratsimbazafy 406d999a9b
Higher-power frobenius applications 2020-09-23 00:55:32 +02:00
Mamy Ratsimbazafy d84edcd217
Naive pairings + Naive cofactor clearing (#82)
* Pairing - initial commit
- line functions
- sparse Fp12 functions

* Small fixes:
- Line parametrized by twist for generic algorithm
- Add a conjugate operator for quadratic extensions
- Have frobenius use it
- Create an Affine coordinate type for elliptic curve

* Implement (failing) pairing test

* Stash pairing debug session, temp switch Fp12 over Fp4

* Proper naive pairing on BLS12-381

* Frobenius map

* Implement naive pairing for BN curves

* Add pairing tests to CI + reduce time spent on lower-level tests

* Test without assembler in Github Actions + less base layers test iterations
2020-09-21 23:24:00 +02:00
Mamy Ratsimbazafy 85d365359d
Endomorphism G2 (#79)
* Clear cofactor in BN254 G2 testgen and frobenius

* Implement G2 endomorphism acceleration in Sage

* Somewhat working accelerated scalar mul G2 (2.2x) faster
- OK for BN254_Snarks
- Some test failing for BLS12-381

* Fix negative miniscalars by adding an extra bit of encoding

* Cleanup accel params

* Small recoding optimizations
2020-09-03 23:10:48 +02:00
Mamy Ratsimbazafy 4a308c2148
Frobenius endomorphism ψ = φ−1 πp φ (psi = untwist-Frobenius-Twist) (#78)
* Sage script for frobenius isogeny

* Implement ψ (Psi) - Untwist-Frobenius-Twist Endomorphism on G2

* Implement sparse mul for frpbenius endomorphism

* Implement optimized psi2
2020-08-31 23:18:48 +02:00
Mamy André-Ratsimbazafy 66d9799918
cleanups [skip ci] 2020-08-25 01:01:38 +02:00
Mamy Ratsimbazafy eee0f4f0fc
Lattice decomposition fixes (#71)
* Sage: Lattice decomp script fixes from anonymous reviewer

* update recoding mini test and add recoding primitives

* Update the GLV recoding

* update comments on positive/negative recoding [skip ci]

* sprinkle some {.noInit.} where possible
2020-08-22 19:45:44 +02:00
Mamy André-Ratsimbazafy 4bbfd1dd45
Add test generator for BLS12-381 G2 and pass the tests 2020-06-18 22:00:31 +02:00
Mamy André-Ratsimbazafy dc83855f26
Add a test vector generator for BN254 on G2 and pass the tests 2020-06-18 01:40:13 +02:00
Mamy Ratsimbazafy d376f08d1b
G2 / Operations on the twisted curve E'(Fp2) (#51)
* Split elliptic curve tests to better use parallel testing

* Add support for printing points on G2

* Implement multiplication and division by optimal sextic non-residue (BLS12-381)

* Implement modular square root in 𝔽p2

* Support EC add and EC double on G2 (for BLS12-381)

* Support G2 divisive twists with non-unit sextic-non-residue like BN254 snarks

* Add EC G2 bench

* cleanup some unused warnings

* Reorg the tests for parallelization and to avoid instantiating huge files
2020-06-15 22:58:56 +02:00
Mamy Ratsimbazafy 2613356281
Endomorphism acceleration for Scalar Multiplication (#44)
* Add MultiScalar recoding from "Efficient and Secure Algorithms for GLV-Based Scalar Multiplication" by Faz et al

* precompute cube root of unity - Add VM precomputation of Fp - workaround upstream bug https://github.com/nim-lang/Nim/issues/14585

* Add the φ-accelerated lookup table builder

* Add a dedicated bithacks file

* cosmetic import consistency

* Build the φ precompute table with n-1 EC additions instead of 2^(n-1) additions

* remove binary

* Add the GLV precomputations to the sage scripts

* You can't avoid it, bigint multiplication is needed at one point

* Add bigint multiplication discarding some low words

* Implement the lattice decomposition in sage

* Proper decomposition for BN254

* Prepare the code for a new scalar mul

* We compile, and now debugging hunt

* More helpers to debug GLV scalar Mul

* Fix conditional negation

* Endomorphism accelerated scalar mul working for BN254 curve

* Implement endomorphism acceleration for BLS12-381 (needed cofactor clearing of the point)

* fix nimble test script after bench rename
2020-06-14 15:39:06 +02:00
Mamy Ratsimbazafy 82ceca6e3b
Scalar mul tests (#28)
* Add sage script for BN254

* Implement (failing) scalar multiplication tests

* Add a first test against sagemath

* Finish the tests against SAGE for BN254

* Add significant test coverage of scalar multiplication with reference checks for BN254_Snarks and BLS12_381
2020-06-04 20:37:29 +02:00
Mamy André-Ratsimbazafy 71a2acc202
Report interesting moduli for BLS and BN curves 2020-05-22 17:55:03 +02:00
Mamy André-Ratsimbazafy 33314fe725
Properly distinguish between Nogami and Snark/Ethereum BN254 closes #19 2020-04-12 03:01:50 +02:00
Mamy André-Ratsimbazafy e47159e40d
Somewhat working (?) sage script for quadratic/cubic non-residues 2020-03-22 21:57:15 +01:00
Mamy André-Ratsimbazafy 2d5b173a39
Less magics, les macros, faster compile-times (or not, Fp6 starts to get really slow, like 5s) + some cleanups in curve families + test 𝔽p6 on 32-bit 2020-03-22 12:28:53 +01:00
Mamy André-Ratsimbazafy 964533494f
Struggling with sage to verify non-residues of extension towers 2020-03-21 17:42:06 +01:00
Mamy André-Ratsimbazafy 1282c38845
Add sage script for BN and BLS12 curve families 2020-03-21 15:50:39 +01:00