28 Commits

Author SHA1 Message Date
Mamy Ratsimbazafy
d97bc9b61c
Assembly backend (#69)
* Proof-of-Concept Assembly code generator

* Tag inline per procedure so we can easily track the tradeoff on tower fields

* Implement Assembly for modular addition (but very curious off-by-one)

* Fix off-by one for moduli with non msb set

* Stash (super fast) alternative but still off by carry

* Fix GCC optimizing ASM away

* Save 1 register to allow compiling for BLS12-381 (in the GMP test)

* The compiler cannot find enough registers if the ASM file is not compiled with -O3

* Add modsub

* Add field negation

* Implement no-carry Assembly optimized field multiplication

* Expose UseX86ASM to the EC benchmark

* omit frame pointer to save registers instead of hardcoding -O3. Also ensure early clobber constraints for Clang

* Prepare for assembly fallback

* Implement fallback for CPU that don't support ADX and BMI2

* Add CPU runtime detection

* Update README closes #66

* Remove commented out code
2020-07-24 22:02:30 +02:00
Mamy Ratsimbazafy
ec76ac5ea6
Fuzzing campaign fixes (#58)
* Add test case for #30 - Euler's criterion doesn't return 1 for a square

* Detect #42 in the test suite

* Detect #43 in the test suite

* comment in sqrt tests

* Add #67 to the anti-regression suite

* Add #61 to the anti-regression suite

* Add #62 to anti-regression suite

* Add #60 to the anti-regression suite

* Add #64 to the test suite

* Add #65 - case 1

* Add #65 case 2

* Add #65 case 3

* Add debug check to isSquare/Euler's Criterion/Legendre Symbol

* Make sure our primitives are correct

* For now deactivate montySquare CIOS fix #61 #62

* Narrow down #42 and #43 to powinv on 32-bit

* Detect #42 #43 at the fast squaring level

* More #42, #43 tests, Use multiplication instead of squaring as a temporary workaround, see https://github.com/mratsim/constantine/issues/68

* Prevent regression of #67 now that squaring is "fixed"
2020-06-23 01:27:40 +02:00
Mamy André-Ratsimbazafy
d22d981e9e
Implement fused sqrt invsqrt on Fp: Accelerate sqrt on Fp2 by 20% (hashToG2 and property-based testing bottleneck, 4 times slower than inversion and 87 times slower than Fp2 multiplication) 2020-06-17 22:44:52 +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 André-Ratsimbazafy
ff9dec4813
Initial impl of side-channel resistant scalar mul to securely handle secret keys inputs. 2020-04-17 22:17:28 +02:00
Mamy André-Ratsimbazafy
e0c1e0b1c8
Add EC bench on G1 + Add throughput to benches 2020-04-15 19:38:02 +02:00
Mamy André-Ratsimbazafy
aff44f4d8e
Implement constant-time div2 on finite and extension fields 2020-04-15 02:12:45 +02:00
Mamy André-Ratsimbazafy
8a9cb9287c Highlight that bools and words are "Secret" in the codebase 2020-04-15 00:04:44 +02:00
Mamy Ratsimbazafy
c04721a04e
Refactor: Higher-Kinded Tower of Extension Fields (#25)
* Mention that the inverse of 0 is 0 (TODO tests)

* Introduce "Higher-Kinded tower extensions"

* rename isCOmplexExtension -> fromComplexExtension

* update benchmarks with the new tower scheme

* Try to recover some speed on mul/squaring for an optimal tower (but this was not it)
2020-04-14 02:05:42 +02:00
Mamy Ratsimbazafy
2f839cb1bf
Initial support for Elliptic Curve (#24)
* Elliptic curve and Twisted curve templates - initial commit

* Support EC Add on G2 (Sextic Twisted curve for BN and BLS12 families)

* Refactor the config parser to prepare for elliptic coefficient support

* Add elliptic curve parameter for BN254 (Snarks), BLS12-381 and Zexe curve BLS12-377

* Add accessors to curve parameters

* Allow computing the right-hand-side of of Weierstrass equation "y² = x³ + a x + b"

* Randomized test infrastructure for elliptic curves

* Start a testing suite on ellptic curve addition (failing)

* detail projective addition

* Fix EC addition test (forgot initializing Z=1 and that there ar emultiple infinity points)

* Test with random Z coordinate + add elliptic curve test to test suite

* fix reference to the (deactivated) addchain inversion for BN curves [skip ci]

* .nims file leftover [skip ci]
2020-04-13 19:25:59 +02:00
Mamy Ratsimbazafy
42109d4f1c
Square roots (#22)
* Add modular square root for p ≡ 3 (mod 4)

* Exhaustive tests for sqrt with p ≡ 3 (mod 4)

* fix typo
2020-04-11 23:53:21 +02:00
Mamy André-Ratsimbazafy
8b7374f405
Cleanup in Montgomery Mul, Square, Pow 2020-03-22 13:24:37 +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
bde619155b
30% faster constant-time inversion 2020-03-20 23:03:52 +01:00
Mamy Ratsimbazafy
6423be0dfb
Add optimized squaring (~15% speedup) (#18)
* Add optimized squaring (~15% speedup)

* avoid repetitions in tests
2020-03-17 22:04:37 +01:00
Mamy Ratsimbazafy
4ff0e3d90b
Internals refactor + renewed focus on perf (#17)
* Lay out the refactoring objectives and tradeoffs

* Refactor the 32 and 64-bit primitives [skip ci]

* BigInts and Modular BigInts compile

* Make the bigints test compile

* Fix modular reduction

* Fix reduction tests vs GMP

* Implement montegomery mul, pow, inverse, WIP finite field compilation

* Make FiniteField compile

* Fix exponentiation compilation

* Fix Montgomery magic constant computation  for 2^64 words

* Fix typo in non-optimized CIOS - passing finite fields IO tests

* Add limbs comparisons [skip ci]

* Fix on precomputation of the Montgomery magic constant

* Passing all tests including 𝔽p2

* modular addition, the test for mersenne prime was wrong

* update benches

* Fix "nimble test" + typo on out-of-place field addition

* bigint division, normalization is needed: https://travis-ci.com/github/mratsim/constantine/jobs/298359743

* missing conversion in subborrow non-x86 fallback - https://travis-ci.com/github/mratsim/constantine/jobs/298359744

* Fix little-endian serialization

* Constantine32 flag to run 32-bit constantine on 64-bit machines

* IO Field test, ensure that BaseType is used instead of uint64 when the prime can field in uint32

* Implement proper addcarry and subborrow fallback for the compile-time VM

* Fix export issue when the logical wordbitwidth == physical wordbitwidth - passes all tests (32-bit and 64-bit)

* Fix uint128 on ARM

* Fix C++ conditional copy and ARM addcarry/subborrow

* Add investigation for SIGFPE in Travis

* Fix debug display for unsafeDiv2n1n

* multiplexer typo

* moveMem bug in glibc of Ubuntu 16.04?

* Was probably missing an early clobbered register annotation on conditional mov

* Note on Montgomery-friendly moduli

* Strongly suspect a GCC before GCC 7 codegen bug (https://gcc.gnu.org/bugzilla/show_bug.cgi?id=87139)

* hex conversion was (for debugging) not taking requested order into account + inlining comment

* Use 32-bit limbs on ARM64, uint128 builtin __udivti4 bug?

* Revert "Use 32-bit limbs on ARM64, uint128 builtin __udivti4 bug?"

This reverts commit 087f9aa7fb40bbd058d05cbd8eec7fc082911f49.

* Fix subborrow fallback for non-x86 (need to maks the borrow)
2020-03-16 16:33:51 +01:00
Mamy André-Ratsimbazafy
155aa21767
Add inverse on 𝔽p2 = 𝔽p[𝑖] 2020-02-27 01:20:51 +01:00
Mamy André-Ratsimbazafy
e2096297cf
Expose the equality proc beyond the debugConstantine flag 2020-02-26 00:08:57 +01:00
Mamy André-Ratsimbazafy
320ecbff1a
Change square signature and reorg finite fields to avoid/highlight proc that allocate a temporary 2020-02-25 15:18:39 +01:00
Mamy André-Ratsimbazafy
abaafa816e
Fix warnings 2020-02-25 14:32:54 +01:00
Mamy André-Ratsimbazafy
e6c7b3e52a
add Abelian Group concept 2020-02-25 14:10:59 +01:00
Mamy André-Ratsimbazafy
2aa33ea226
Fused initialization and arithmetic finite field primitive to have Fp2 less verbose and more efficient 2020-02-25 11:00:27 +01:00
Mamy André-Ratsimbazafy
2aec16d8d8
introduce unconditional add/sub and fused initialization+operation sum/diff 2020-02-25 03:11:32 +01:00
Mamy André-Ratsimbazafy
bb8dc579ea
conditional arithmetic prefixed with c: cadd, csub. Also use ccopy instead of cmov to avoid potential confusion like in https://github.com/cfrg/draft-irtf-cfrg-hash-to-curve/issues/210 2020-02-25 01:26:21 +01:00
Mamy André-Ratsimbazafy
78dee73648
Fp: setZero, setOne, double, in-place mul, Fp2: square 2020-02-24 20:39:36 +01:00
Mamy André-Ratsimbazafy
6b05c69652
Rename Fq -> Fp 2020-02-24 17:10:09 +01:00
Mamy Ratsimbazafy
3bd70991d4
reorg the codebase + add/update READMEs in folders with research (#12)
* reorg the codebase + add/update READMEs in folders with research

* fix readme

* update pairing implementation papers

* Seperate hash-to-curve in its own folder, distinguish between norms, research and presentations

* Better markdown line breaks

* Add in-depth analysis of towers of extension fields for BN curve

* Fix Colm Ó hÉigeartaigh name and add Hash-to-Curve reference
2020-02-24 10:50:19 +01:00