172 lines
4.1 KiB
Nim
172 lines
4.1 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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unittest, times, random,
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# Internals
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../constantine/tower_field_extensions/[abelian_groups, fp12_quad_fp6],
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../constantine/config/[common, curves],
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../constantine/arithmetic,
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# Test utilities
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../helpers/prng
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const Iters = 128
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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 "test_fp12 xoshiro512** seed: ", seed
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# Import: wrap in field element tests in small procedures
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# otherwise they will become globals,
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# and will create binary size issues.
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# Also due to Nim stack scanning,
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# having too many elements on the stack (a couple kB)
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# will significantly slow down testing (100x is possible)
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suite "𝔽p12 = 𝔽p6[√∛(1+𝑖)]":
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test "Squaring 1 returns 1":
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template test(C: static Curve) =
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block:
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proc testInstance() =
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let One = block:
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var O{.noInit.}: Fp12[C]
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O.setOne()
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O
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block:
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var r{.noinit.}: Fp12[C]
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r.square(One)
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check: bool(r == One)
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# block:
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# var r{.noinit.}: Fp12[C]
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# r.prod(One, One)
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# check: bool(r == One)
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testInstance()
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test(BN254)
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test(BLS12_377)
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test(BLS12_381)
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test(BN446)
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test(FKM12_447)
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test(BLS12_461)
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test(BN462)
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test "Squaring 2 returns 4":
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template test(C: static Curve) =
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block:
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proc testInstance() =
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let One = block:
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var O{.noInit.}: Fp12[C]
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O.setOne()
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O
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var Two: Fp12[C]
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Two.double(One)
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var Four: Fp12[C]
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Four.double(Two)
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block:
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var r: Fp12[C]
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r.square(Two)
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check: bool(r == Four)
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# block:
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# var r: Fp12[C]
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# r.prod(Two, Two)
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# check: bool(r == Four)
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testInstance()
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# test(BN254)
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# test(BLS12_377)
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# test(BLS12_381)
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# test(BN446)
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# test(FKM12_447)
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# test(BLS12_461)
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# test(BN462)
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test "Squaring 3 returns 9":
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template test(C: static Curve) =
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block:
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proc testInstance() =
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let One = block:
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var O{.noInit.}: Fp12[C]
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O.setOne()
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O
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var Three: Fp12[C]
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for _ in 0 ..< 3:
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Three += One
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var Nine: Fp12[C]
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for _ in 0 ..< 9:
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Nine += One
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block:
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var u: Fp12[C]
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u.square(Three)
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check: bool(u == Nine)
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# block:
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# var u: Fp12[C]
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# u.prod(Three, Three)
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# check: bool(u == Nine)
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testInstance()
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# test(BN254)
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# test(BLS12_377)
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# test(BLS12_381)
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# test(BN446)
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# test(FKM12_447)
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# test(BLS12_461)
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# test(BN462)
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test "Squaring -3 returns 9":
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template test(C: static Curve) =
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block:
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proc testInstance() =
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let One = block:
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var O{.noInit.}: Fp12[C]
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O.setOne()
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O
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var MinusThree: Fp12[C]
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for _ in 0 ..< 3:
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MinusThree -= One
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var Nine: Fp12[C]
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for _ in 0 ..< 9:
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Nine += One
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block:
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var u: Fp12[C]
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u.square(MinusThree)
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check: bool(u == Nine)
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# block:
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# var u: Fp12[C]
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# u.prod(MinusThree, MinusThree)
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# check: bool(u == Nine)
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testInstance()
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# test(BN254)
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# test(BLS12_377)
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# test(BLS12_381)
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# test(BN446)
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# test(FKM12_447)
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# test(BLS12_461)
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# test(BN462)
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