constantine/tests/test_fp12.nim

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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
unittest, times, random,
# Internals
../constantine/tower_field_extensions/[abelian_groups, fp12_quad_fp6],
../constantine/config/[common, curves],
../constantine/arithmetic,
# Test utilities
../helpers/prng
const Iters = 128
var rng: RngState
let seed = uint32(getTime().toUnix() and (1'i64 shl 32 - 1)) # unixTime mod 2^32
rng.seed(seed)
echo "test_fp12 xoshiro512** seed: ", seed
# Import: wrap in field element tests in small procedures
# otherwise they will become globals,
# and will create binary size issues.
# Also due to Nim stack scanning,
# having too many elements on the stack (a couple kB)
# will significantly slow down testing (100x is possible)
suite "𝔽p12 = 𝔽p6[√∛(1+𝑖)]":
test "Squaring 1 returns 1":
template test(C: static Curve) =
block:
proc testInstance() =
let One = block:
var O{.noInit.}: Fp12[C]
O.setOne()
O
block:
var r{.noinit.}: Fp12[C]
r.square(One)
check: bool(r == One)
# block:
# var r{.noinit.}: Fp12[C]
# r.prod(One, One)
# check: bool(r == One)
testInstance()
test(BN254)
test(BLS12_377)
test(BLS12_381)
test(BN446)
test(FKM12_447)
test(BLS12_461)
test(BN462)
test "Squaring 2 returns 4":
template test(C: static Curve) =
block:
proc testInstance() =
let One = block:
var O{.noInit.}: Fp12[C]
O.setOne()
O
var Two: Fp12[C]
Two.double(One)
var Four: Fp12[C]
Four.double(Two)
block:
var r: Fp12[C]
r.square(Two)
check: bool(r == Four)
# block:
# var r: Fp12[C]
# r.prod(Two, Two)
# check: bool(r == Four)
testInstance()
test(BN254)
test(BLS12_377)
test(BLS12_381)
test(BN446)
test(FKM12_447)
test(BLS12_461)
test(BN462)
test "Squaring 3 returns 9":
template test(C: static Curve) =
block:
proc testInstance() =
let One = block:
var O{.noInit.}: Fp12[C]
O.setOne()
O
var Three: Fp12[C]
for _ in 0 ..< 3:
Three += One
var Nine: Fp12[C]
for _ in 0 ..< 9:
Nine += One
block:
var u: Fp12[C]
u.square(Three)
check: bool(u == Nine)
# block:
# var u: Fp12[C]
# u.prod(Three, Three)
# check: bool(u == Nine)
testInstance()
test(BN254)
test(BLS12_377)
test(BLS12_381)
test(BN446)
test(FKM12_447)
test(BLS12_461)
test(BN462)
test "Squaring -3 returns 9":
template test(C: static Curve) =
block:
proc testInstance() =
let One = block:
var O{.noInit.}: Fp12[C]
O.setOne()
O
var MinusThree: Fp12[C]
for _ in 0 ..< 3:
MinusThree -= One
var Nine: Fp12[C]
for _ in 0 ..< 9:
Nine += One
block:
var u: Fp12[C]
u.square(MinusThree)
check: bool(u == Nine)
# block:
# var u: Fp12[C]
# u.prod(MinusThree, MinusThree)
# check: bool(u == Nine)
testInstance()
test(BN254)
test(BLS12_377)
test(BLS12_381)
test(BN446)
test(FKM12_447)
test(BLS12_461)
test(BN462)