constantine/tests/t_pairing_mul_fp12_by_lines...

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# 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,
../constantine/pairing/[
lines_projective,
mul_fp12_by_lines
],
# Test utilities
../helpers/[prng_unsafe, static_for]
const
Iters = 8
TestCurves = [
# BN254_Snarks,
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_pairing_fp12_sparse 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)
suite "Pairing - Sparse 𝔽p12 multiplication by line function is consistent with dense 𝔽p12 mul":
test "Dense 𝔽p4 by Sparse 0y":
proc test_fp4_0y(C: static Curve, gen: static RandomGen) =
for _ in 0 ..< Iters:
let a = rng.random_elem(Fp4[C], gen)
let y = rng.random_elem(Fp2[C], gen)
let b = Fp4[C](c1: y)
var r {.noInit.}, r2 {.noInit.}: Fp4[C]
r.prod(a, b)
r2.mul_sparse_by_0y(a, y)
check: bool(r == r2)
staticFor(curve, TestCurves):
test_fp4_0y(curve, gen = Uniform)
test_fp4_0y(curve, gen = HighHammingWeight)
test_fp4_0y(curve, gen = Long01Sequence)
test "Dense 𝔽p6 by Sparse 0y0":
proc test_fp6_0y0(C: static Curve, gen: static RandomGen) =
for _ in 0 ..< Iters:
let a = rng.random_elem(Fp6[C], gen)
let y = rng.random_elem(Fp2[C], gen)
let b = Fp6[C](c1: y)
var r {.noInit.}, r2 {.noInit.}: Fp6[C]
r.prod(a, b)
r2.mul_sparse_by_0y0(a, y)
check: bool(r == r2)
staticFor(curve, TestCurves):
test_fp6_0y0(curve, gen = Uniform)
test_fp6_0y0(curve, gen = HighHammingWeight)
test_fp6_0y0(curve, gen = Long01Sequence)
test "Dense 𝔽p6 by Sparse xy0":
proc test_fp6_0y0(C: static Curve, gen: static RandomGen) =
for _ in 0 ..< Iters:
let a = rng.random_elem(Fp6[C], gen)
let x = rng.random_elem(Fp2[C], gen)
let y = rng.random_elem(Fp2[C], gen)
let b = Fp6[C](c0: x, c1: y)
let line = Line[Fp2[C], M_twist](x: x, y: y)
var r {.noInit.}, r2 {.noInit.}: Fp6[C]
r.prod(a, b)
r2.mul_by_line_xy0(a, line)
check: bool(r == r2)
staticFor(curve, TestCurves):
test_fp6_0y0(curve, gen = Uniform)
test_fp6_0y0(curve, gen = HighHammingWeight)
test_fp6_0y0(curve, gen = Long01Sequence)
when Fp12[BN254_Snarks]().c0.typeof is Fp6:
test "Sparse 𝔽p12/𝔽p6 resulting from xy00z0 line function":
proc test_fp12_xy00z0(C: static Curve, gen: static RandomGen) =
for _ in 0 ..< Iters:
var a = rng.random_elem(Fp12[C], gen)
var a2 = a
var x = rng.random_elem(Fp2[C], gen)
var y = rng.random_elem(Fp2[C], gen)
var z = rng.random_elem(Fp2[C], gen)
let line = Line[Fp2[C], Mtwist](x: x, y: y, z: z)
let b = Fp12[C](
c0: Fp6[C](c0: x, c1: y),
c1: Fp6[C](c1: z)
)
a *= b
a2.mul_sparse_by_line_xy00z0(line)
check: bool(a == a2)
staticFor(curve, TestCurves):
test_fp12_xy00z0(curve, gen = Uniform)
test_fp12_xy00z0(curve, gen = HighHammingWeight)
test_fp12_xy00z0(curve, gen = Long01Sequence)
test "Sparse 𝔽p12/𝔽p6 resulting from xyz000 line function":
proc test_fp12_xyz000(C: static Curve, gen: static RandomGen) =
for _ in 0 ..< Iters:
var a = rng.random_elem(Fp12[C], gen)
var a2 = a
var x = rng.random_elem(Fp2[C], gen)
var y = rng.random_elem(Fp2[C], gen)
var z = rng.random_elem(Fp2[C], gen)
let line = Line[Fp2[C], Mtwist](x: x, y: y, z: z)
let b = Fp12[C](
c0: Fp6[C](c0: x, c1: y, c2: z)
)
a *= b
a2.mul_sparse_by_line_xyz000(line)
check: bool(a == a2)
staticFor(curve, TestCurves):
test_fp12_xyz000(curve, gen = Uniform)
test_fp12_xyz000(curve, gen = HighHammingWeight)
test_fp12_xyz000(curve, gen = Long01Sequence)
else:
static: doAssert Fp12[BN254_Snarks]().c0.typeof is Fp4
test "Sparse 𝔽p12/𝔽p4 resulting from xy000z line function":
proc test_fp12_xy000z(C: static Curve, gen: static RandomGen) =
for _ in 0 ..< Iters:
var a = rng.random_elem(Fp12[C], gen)
var a2 = a
var x = rng.random_elem(Fp2[C], gen)
var y = rng.random_elem(Fp2[C], gen)
var z = rng.random_elem(Fp2[C], gen)
let line = Line[Fp2[C], Mtwist](x: x, y: y, z: z)
let b = Fp12[C](
c0: Fp4[C](c0: x, c1: y),
# c1
c2: Fp4[C]( c1: z),
)
a *= b
a2.mul_sparse_by_line_xy000z(line)
check: bool(a == a2)
staticFor(curve, TestCurves):
test_fp12_xy000z(curve, gen = Uniform)
test_fp12_xy000z(curve, gen = HighHammingWeight)
test_fp12_xy000z(curve, gen = Long01Sequence)