400 lines
13 KiB
Nim
400 lines
13 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/[tables, unittest, times],
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# Internals
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../constantine/config/common,
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../constantine/[arithmetic, primitives],
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../constantine/towers,
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../constantine/config/curves,
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../constantine/io/io_towers,
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../constantine/pairing/[
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lines_projective,
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mul_fp12_by_lines
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],
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# Test utilities
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../helpers/[prng_unsafe, static_for]
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const
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Iters = 8
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TestCurves = [
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BN254_Nogami,
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BN254_Snarks,
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BLS12_377,
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BLS12_381
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]
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type
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RandomGen = enum
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Uniform
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HighHammingWeight
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Long01Sequence
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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_pairing_fp12_sparse xoshiro512** seed: ", seed
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func random_elem(rng: var RngState, F: typedesc, gen: RandomGen): F {.inline, noInit.} =
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if gen == Uniform:
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result = rng.random_unsafe(F)
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elif gen == HighHammingWeight:
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result = rng.random_highHammingWeight(F)
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else:
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result = rng.random_long01Seq(F)
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suite "Pairing - Sparse 𝔽p12 multiplication by line function is consistent with dense 𝔽p12 mul":
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test "Dense 𝔽p4 by Sparse 0y":
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proc test_fp4_0y(C: static Curve, gen: static RandomGen) =
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for _ in 0 ..< Iters:
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let a = rng.random_elem(Fp4[C], gen)
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let y = rng.random_elem(Fp2[C], gen)
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let b = Fp4[C](coords: [Fp2[C](), y])
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var r {.noInit.}, r2 {.noInit.}: Fp4[C]
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r.prod(a, b)
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r2.mul_sparse_by_0y(a, y)
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check: bool(r == r2)
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staticFor(curve, TestCurves):
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test_fp4_0y(curve, gen = Uniform)
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test_fp4_0y(curve, gen = HighHammingWeight)
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test_fp4_0y(curve, gen = Long01Sequence)
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test "Dense 𝔽p6 by Sparse 0y0":
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proc test_fp6_0y0(C: static Curve, gen: static RandomGen) =
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for _ in 0 ..< Iters:
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let a = rng.random_elem(Fp6[C], gen)
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let y = rng.random_elem(Fp2[C], gen)
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let b = Fp6[C](coords: [Fp2[C](), y, Fp2[C]()])
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var r {.noInit.}, r2 {.noInit.}: Fp6[C]
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r.prod(a, b)
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r2.mul_sparse_by_0y0(a, y)
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check: bool(r == r2)
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staticFor(curve, TestCurves):
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test_fp6_0y0(curve, gen = Uniform)
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test_fp6_0y0(curve, gen = HighHammingWeight)
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test_fp6_0y0(curve, gen = Long01Sequence)
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test "Dense 𝔽p6 by Sparse xy0":
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proc test_fp6_xy0(C: static Curve, gen: static RandomGen) =
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for _ in 0 ..< Iters:
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let a = rng.random_elem(Fp6[C], gen)
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let x = rng.random_elem(Fp2[C], gen)
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let y = rng.random_elem(Fp2[C], gen)
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let b = Fp6[C](coords: [x, y, Fp2[C]()])
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let line = Line[Fp2[C]](x: x, y: y)
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var r {.noInit.}, r2 {.noInit.}: Fp6[C]
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r.prod(a, b)
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r2.mul_by_line_xy0(a, line)
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check: bool(r == r2)
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staticFor(curve, TestCurves):
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test_fp6_xy0(curve, gen = Uniform)
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test_fp6_xy0(curve, gen = HighHammingWeight)
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test_fp6_xy0(curve, gen = Long01Sequence)
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when Fp12[BN254_Snarks]().c0.typeof is Fp6:
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test "Sparse 𝔽p12/𝔽p6 resulting from xy00z0 line function":
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proc test_fp12_xy00z0(C: static Curve, gen: static RandomGen) =
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for _ in 0 ..< Iters:
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var a = rng.random_elem(Fp12[C], gen)
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var a2 = a
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var x = rng.random_elem(Fp2[C], gen)
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var y = rng.random_elem(Fp2[C], gen)
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var z = rng.random_elem(Fp2[C], gen)
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let line = Line[Fp2[C]](x: x, y: y, z: z)
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let b = Fp12[C](
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c0: Fp6[C](coords: [ x, y, Fp2[C]()]),
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c1: Fp6[C](coords: [Fp2[C](), z, Fp2[C]()])
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)
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a *= b
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a2.mul_sparse_by_line_xy00z0(line)
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check: bool(a == a2)
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staticFor(curve, TestCurves):
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test_fp12_xy00z0(curve, gen = Uniform)
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test_fp12_xy00z0(curve, gen = HighHammingWeight)
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test_fp12_xy00z0(curve, gen = Long01Sequence)
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test "Sparse 𝔽p12/𝔽p6 resulting from xyz000 line function":
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proc test_fp12_xyz000(C: static Curve, gen: static RandomGen) =
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for _ in 0 ..< Iters:
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var a = rng.random_elem(Fp12[C], gen)
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var a2 = a
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var x = rng.random_elem(Fp2[C], gen)
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var y = rng.random_elem(Fp2[C], gen)
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var z = rng.random_elem(Fp2[C], gen)
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let line = Line[Fp2[C]](x: x, y: y, z: z)
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let b = Fp12[C](
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c0: Fp6[C](coords: [x, y, z])
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)
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a *= b
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a2.mul_sparse_by_line_xyz000(line)
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check: bool(a == a2)
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staticFor(curve, TestCurves):
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test_fp12_xyz000(curve, gen = Uniform)
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test_fp12_xyz000(curve, gen = HighHammingWeight)
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test_fp12_xyz000(curve, gen = Long01Sequence)
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else:
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static: doAssert Fp12[BN254_Snarks]().c0.typeof is Fp4
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test "Sparse 𝔽p12/𝔽p4 resulting from xy000z line function (M-twist only)":
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proc test_fp12_xy000z(C: static Curve, gen: static RandomGen) =
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when C.getSexticTwist() == M_Twist:
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for _ in 0 ..< Iters:
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var a = rng.random_elem(Fp12[C], gen)
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var a2 = a
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var x = rng.random_elem(Fp2[C], gen)
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var y = rng.random_elem(Fp2[C], gen)
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var z = rng.random_elem(Fp2[C], gen)
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let line = Line[Fp2[C]](x: x, y: y, z: z)
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let b = Fp12[C](
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coords: [
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Fp4[C](coords: [x, y]),
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Fp4[C](),
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Fp4[C](coords: [Fp2[C](), z])
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]
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)
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a *= b
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a2.mul_sparse_by_line_xy000z(line)
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check: bool(a == a2)
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staticFor(curve, TestCurves):
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test_fp12_xy000z(curve, gen = Uniform)
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test_fp12_xy000z(curve, gen = HighHammingWeight)
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test_fp12_xy000z(curve, gen = Long01Sequence)
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test "Sparse 𝔽p12/𝔽p4 resulting from xyz000 line function (D-twist only)":
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proc test_fp12_xyz000(C: static Curve, gen: static RandomGen) =
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when C.getSexticTwist() == D_Twist:
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for _ in 0 ..< Iters:
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var a = rng.random_elem(Fp12[C], gen)
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var a2 = a
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var x = rng.random_elem(Fp2[C], gen)
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var y = rng.random_elem(Fp2[C], gen)
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var z = rng.random_elem(Fp2[C], gen)
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let line = Line[Fp2[C]](x: x, y: y, z: z)
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let b = Fp12[C](
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coords: [
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Fp4[C](coords: [x, y]),
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Fp4[C](coords: [z, Fp2[C]()]),
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Fp4[C]()
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]
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)
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a *= b
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a2.mul_sparse_by_line_xyz000(line)
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check: bool(a == a2)
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staticFor(curve, TestCurves):
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test_fp12_xyz000(curve, gen = Uniform)
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test_fp12_xyz000(curve, gen = HighHammingWeight)
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test_fp12_xyz000(curve, gen = Long01Sequence)
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test "Somewhat-sparse 𝔽p12/𝔽p4 resulting from xy000z*xy000z line functions (M-twist only)":
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proc test_fp12_xy000z_xy000z(C: static Curve, gen: static RandomGen) =
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when C.getSexticTwist() == M_Twist:
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for _ in 0 ..< Iters:
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var x0 = rng.random_elem(Fp2[C], gen)
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var y0 = rng.random_elem(Fp2[C], gen)
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var z0 = rng.random_elem(Fp2[C], gen)
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let line0 = Line[Fp2[C]](x: x0, y: y0, z: z0)
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let f0 = Fp12[C](
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coords: [
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Fp4[C](coords: [x0, y0]),
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Fp4[C](),
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Fp4[C](coords: [Fp2[C](), z0])
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]
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)
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var x1 = rng.random_elem(Fp2[C], gen)
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var y1 = rng.random_elem(Fp2[C], gen)
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var z1 = rng.random_elem(Fp2[C], gen)
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let line1 = Line[Fp2[C]](x: x1, y: y1, z: z1)
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let f1 = Fp12[C](
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coords: [
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Fp4[C](coords: [x1, y1]),
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Fp4[C](),
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Fp4[C](coords: [Fp2[C](), z1])
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]
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)
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var r: Fp12[C]
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r.prod(f0, f1)
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var rl: Fp12[C]
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rl.mul_xy000z_xy000z_into_abcd00efghij(line0, line1)
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check: bool(r == rl)
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test "Somewhat-sparse 𝔽p12/𝔽p4 resulting from xyz000*xyz000 line functions (D-twist only)":
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proc test_fp12_xyz000_xyz000(C: static Curve, gen: static RandomGen) =
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when C.getSexticTwist() == D_Twist:
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for _ in 0 ..< Iters:
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var x0 = rng.random_elem(Fp2[C], gen)
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var y0 = rng.random_elem(Fp2[C], gen)
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var z0 = rng.random_elem(Fp2[C], gen)
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let line0 = Line[Fp2[C]](x: x0, y: y0, z: z0)
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let f0 = Fp12[C](
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coords: [
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Fp4[C](coords: [x0, y0]),
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Fp4[C](coords: [z0, Fp2[C]()]),
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Fp4[C]()
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]
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)
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var x1 = rng.random_elem(Fp2[C], gen)
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var y1 = rng.random_elem(Fp2[C], gen)
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var z1 = rng.random_elem(Fp2[C], gen)
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let line1 = Line[Fp2[C]](x: x1, y: y1, z: z1)
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let f1 = Fp12[C](
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coords: [
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Fp4[C](coords: [x1, y1]),
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Fp4[C](coords: [z1, Fp2[C]()]),
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Fp4[C]()
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]
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)
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var r: Fp12[C]
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r.prod(f0, f1)
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var rl: Fp12[C]
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rl.mul_xyz000_xyz000_into_abcdefghij00(line0, line1)
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check: bool(r == rl)
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staticFor(curve, TestCurves):
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test_fp12_xyz000_xyz000(curve, gen = Uniform)
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test_fp12_xyz000_xyz000(curve, gen = HighHammingWeight)
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test_fp12_xyz000_xyz000(curve, gen = Long01Sequence)
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test "Somewhat-sparse 𝔽p12/𝔽p4 mul by the product (xyz000*xyz000) of line functions (D-twist only)":
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proc test_fp12_abcdefghij00(C: static Curve, gen: static RandomGen) =
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when C.getSexticTwist() == D_Twist:
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for _ in 0 ..< Iters:
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var x0 = rng.random_elem(Fp2[C], gen)
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var y0 = rng.random_elem(Fp2[C], gen)
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var z0 = rng.random_elem(Fp2[C], gen)
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let line0 = Line[Fp2[C]](x: x0, y: y0, z: z0)
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let f0 = Fp12[C](
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coords: [
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Fp4[C](coords: [x0, y0]),
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Fp4[C](coords: [z0, Fp2[C]()]),
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Fp4[C]()
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]
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)
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var x1 = rng.random_elem(Fp2[C], gen)
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var y1 = rng.random_elem(Fp2[C], gen)
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var z1 = rng.random_elem(Fp2[C], gen)
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let line1 = Line[Fp2[C]](x: x1, y: y1, z: z1)
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let f1 = Fp12[C](
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coords: [
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Fp4[C](coords: [x1, y1]),
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Fp4[C](coords: [z1, Fp2[C]()]),
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Fp4[C]()
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]
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)
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var rl: Fp12[C]
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rl.mul_xyz000_xyz000_into_abcdefghij00(line0, line1)
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var f = rng.random_elem(Fp12[C], gen)
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var f2 = f
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f *= rl
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f2.mul_sparse_by_abcdefghij00(rl)
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check: bool(f == f2)
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staticFor(curve, TestCurves):
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test_fp12_abcdefghij00(curve, gen = Uniform)
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test_fp12_abcdefghij00(curve, gen = HighHammingWeight)
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test_fp12_abcdefghij00(curve, gen = Long01Sequence)
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test "Somewhat-sparse 𝔽p12/𝔽p4 mul by the product (xy000z*xy000z) of line functions (M-twist only)":
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proc test_fp12_abcd00efghij(C: static Curve, gen: static RandomGen) =
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when C.getSexticTwist() == M_Twist:
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for _ in 0 ..< Iters:
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var x0 = rng.random_elem(Fp2[C], gen)
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var y0 = rng.random_elem(Fp2[C], gen)
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var z0 = rng.random_elem(Fp2[C], gen)
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let line0 = Line[Fp2[C]](x: x0, y: y0, z: z0)
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let f0 = Fp12[C](
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coords: [
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Fp4[C](coords: [x0, y0]),
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Fp4[C](),
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Fp4[C](coords: [Fp2[C](), z0])
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]
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)
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var x1 = rng.random_elem(Fp2[C], gen)
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var y1 = rng.random_elem(Fp2[C], gen)
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var z1 = rng.random_elem(Fp2[C], gen)
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let line1 = Line[Fp2[C]](x: x1, y: y1, z: z1)
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let f1 = Fp12[C](
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coords: [
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Fp4[C](coords: [x1, y1]),
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Fp4[C](),
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Fp4[C](coords: [Fp2[C](), z1])
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]
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)
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var rl: Fp12[C]
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rl.mul_xy000z_xy000z_into_abcd00efghij(line0, line1)
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var f = rng.random_elem(Fp12[C], gen)
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var f2 = f
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f *= rl
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f2.mul_sparse_by_abcd00efghij(rl)
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check: bool(f == f2)
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staticFor(curve, TestCurves):
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test_fp12_abcd00efghij(curve, gen = Uniform)
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test_fp12_abcd00efghij(curve, gen = HighHammingWeight)
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test_fp12_abcd00efghij(curve, gen = Long01Sequence)
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