mirror of
https://github.com/codex-storage/constantine.git
synced 2025-01-28 19:46:19 +00:00
0e4dbfe400
* 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
102 lines
3.1 KiB
Nim
102 lines
3.1 KiB
Nim
# Constantine
|
||
# Copyright (c) 2018-2019 Status Research & Development GmbH
|
||
# Copyright (c) 2020-Present Mamy André-Ratsimbazafy
|
||
# Licensed and distributed under either of
|
||
# * MIT license (license terms in the root directory or at http://opensource.org/licenses/MIT).
|
||
# * Apache v2 license (license terms in the root directory or at http://www.apache.org/licenses/LICENSE-2.0).
|
||
# at your option. This file may not be copied, modified, or distributed except according to those terms.
|
||
|
||
import
|
||
# Standard library
|
||
std/[tables, unittest, times],
|
||
# Internals
|
||
../constantine/config/common,
|
||
../constantine/[arithmetic, primitives],
|
||
../constantine/towers,
|
||
../constantine/config/curves,
|
||
../constantine/io/io_towers,
|
||
# Test utilities
|
||
../helpers/[prng_unsafe, static_for]
|
||
|
||
const
|
||
Iters = 8
|
||
TestCurves = [
|
||
BN254_Nogami,
|
||
BN254_Snarks,
|
||
BLS12_377,
|
||
BLS12_381
|
||
]
|
||
|
||
type
|
||
RandomGen = enum
|
||
Uniform
|
||
HighHammingWeight
|
||
Long01Sequence
|
||
|
||
var rng: RngState
|
||
let seed = uint32(getTime().toUnix() and (1'i64 shl 32 - 1)) # unixTime mod 2^32
|
||
rng.seed(seed)
|
||
echo "\n------------------------------------------------------\n"
|
||
echo "test_fp2_sqrt xoshiro512** seed: ", seed
|
||
|
||
func random_elem(rng: var RngState, F: typedesc, gen: RandomGen): F {.inline, noInit.} =
|
||
if gen == Uniform:
|
||
result = rng.random_unsafe(F)
|
||
elif gen == HighHammingWeight:
|
||
result = rng.random_highHammingWeight(F)
|
||
else:
|
||
result = rng.random_long01Seq(F)
|
||
|
||
proc randomSqrtCheck(C: static Curve, gen: RandomGen) =
|
||
for _ in 0 ..< Iters:
|
||
let a = rng.random_elem(Fp2[C], gen)
|
||
var na{.noInit.}: Fp2[C]
|
||
na.neg(a)
|
||
|
||
var a2 = a
|
||
var na2 = na
|
||
a2.square()
|
||
na2.square()
|
||
check:
|
||
bool a2 == na2
|
||
bool a2.isSquare()
|
||
|
||
var r, s = a2
|
||
# r.sqrt()
|
||
let ok = s.sqrt_if_square()
|
||
check:
|
||
bool ok
|
||
# bool(r == s)
|
||
bool(s == a or s == na)
|
||
|
||
proc main() =
|
||
suite "Modular square root" & " [" & $WordBitwidth & "-bit mode]":
|
||
staticFor(curve, TestCurves):
|
||
test "[𝔽p2] Random square root check for " & $curve:
|
||
randomSqrtCheck(curve, gen = Uniform)
|
||
randomSqrtCheck(curve, gen = HighHammingWeight)
|
||
randomSqrtCheck(curve, gen = Long01Sequence)
|
||
|
||
suite "Modular square root - 32-bit bugs highlighted by property-based testing " & " [" & $WordBitwidth & "-bit mode]":
|
||
test "sqrt_if_square invalid square BLS12_381 - #64":
|
||
var a: Fp2[BLS12_381]
|
||
a.fromHex(
|
||
"0x09f7034e1d37628dec7be400ddd098110c9160e1de63637d73bd93796f311fb50d438ef357a9349d245fbcfcb6fccf01",
|
||
"0x033c9b2f17988d8bea494fde020f54fb33cc780bba53e4f6746783ac659d472d9f616516fcf87f0d9a980243d38afeee"
|
||
)
|
||
check:
|
||
bool not a.isSquare()
|
||
bool not a.sqrt_if_square()
|
||
|
||
test "sqrt_if_square invalid square BLS12_381 - #65-3":
|
||
var a: Fp2[BLS12_381]
|
||
a.fromHex(
|
||
"0x061bd0f645de26f928386c9393711ba30cabcee5b493f1c3502b33d1cf4e80ed6a9433fe51ec48ce3b28fa748a5cbf93",
|
||
"0x105eddcc7fca28805a016b5a01723c632bad32dd8d5de66457dfe73807e226772e653b3e37c3dea0248f98847efa9a85"
|
||
)
|
||
check:
|
||
bool not a.isSquare()
|
||
bool not a.sqrt_if_square()
|
||
|
||
main()
|