131 lines
3.4 KiB
Nim
131 lines
3.4 KiB
Nim
# Constantine
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# Copyright (c) 2018-2019 Status Research & Development GmbH
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# Copyright (c) 2020-Present Mamy André-Ratsimbazafy
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# Licensed and distributed under either of
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# * MIT license (license terms in the root directory or at http://opensource.org/licenses/MIT).
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# * Apache v2 license (license terms in the root directory or at http://www.apache.org/licenses/LICENSE-2.0).
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# at your option. This file may not be copied, modified, or distributed except according to those terms.
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import
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# Standard library
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std/[unittest, times],
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# Internal
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../../constantine/platforms/abstractions,
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../../constantine/math/arithmetic,
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../../constantine/math/io/[io_bigints, io_fields],
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../../constantine/math/config/curves,
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# Test utilities
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../../helpers/prng_unsafe
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const Iters = 24
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var rng: RngState
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let seed = uint32(getTime().toUnix() and (1'i64 shl 32 - 1)) # unixTime mod 2^32
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rng.seed(seed)
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echo "\n------------------------------------------------------\n"
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echo "test_fr xoshiro512** seed: ", seed
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proc sanity(C: static Curve) =
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test "Fr: Squaring 0,1,2 with "& $Fr[C] & " [FastSquaring = " & $(Fr[C].getSpareBits() >= 2) & "]":
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block: # 0² mod
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var n: Fr[C]
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n.fromUint(0'u32)
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let expected = n
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# Out-of-place
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var r: Fr[C]
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r.square(n)
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# In-place
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n.square()
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check:
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bool(r == expected)
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bool(n == expected)
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block: # 1² mod
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var n: Fr[C]
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n.fromUint(1'u32)
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let expected = n
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# Out-of-place
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var r: Fr[C]
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r.square(n)
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# In-place
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n.square()
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check:
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bool(r == expected)
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bool(n == expected)
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block: # 2² mod
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var n, expected: Fr[C]
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n.fromUint(2'u32)
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expected.fromUint(4'u32)
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# Out-of-place
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var r: Fr[C]
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r.square(n)
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# In-place
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n.square()
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check:
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bool(r == expected)
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bool(n == expected)
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proc mainSanity() =
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suite "Fr: Modular squaring is consistent with multiplication on special elements" & " [" & $WordBitwidth & "-bit mode]":
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sanity BN254_Snarks
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sanity BLS12_381
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mainSanity()
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proc randomCurve(C: static Curve) =
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let a = rng.random_unsafe(Fr[C])
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var r_mul, r_sqr: Fr[C]
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r_mul.prod(a, a)
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r_sqr.square(a)
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doAssert bool(r_mul == r_sqr)
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proc randomHighHammingWeight(C: static Curve) =
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let a = rng.random_highHammingWeight(Fr[C])
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var r_mul, r_sqr: Fr[C]
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r_mul.prod(a, a)
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r_sqr.square(a)
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doAssert bool(r_mul == r_sqr)
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proc random_long01Seq(C: static Curve) =
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let a = rng.random_long01Seq(Fr[C])
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var r_mul, r_sqr: Fr[C]
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r_mul.prod(a, a)
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r_sqr.square(a)
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doAssert bool(r_mul == r_sqr)
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suite "Fr: Random Modular Squaring is consistent with Modular Multiplication" & " [" & $WordBitwidth & "-bit mode]":
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test "Random squaring mod r_BN254_Snarks [FastSquaring = " & $(Fr[BN254_Snarks].getSpareBits() >= 2) & "]":
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for _ in 0 ..< Iters:
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randomCurve(BN254_Snarks)
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for _ in 0 ..< Iters:
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randomHighHammingWeight(BN254_Snarks)
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for _ in 0 ..< Iters:
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random_long01Seq(BN254_Snarks)
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test "Random squaring mod r_BLS12_381 [FastSquaring = " & $(Fr[BLS12_381].getSpareBits() >= 2) & "]":
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for _ in 0 ..< Iters:
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randomCurve(BLS12_381)
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for _ in 0 ..< Iters:
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randomHighHammingWeight(BLS12_381)
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for _ in 0 ..< Iters:
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random_long01Seq(BLS12_381)
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