309 lines
9.6 KiB
Nim
309 lines
9.6 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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# ############################################################
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#
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# Benchmark of pairings
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#
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# ############################################################
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import
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# Internals
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../constantine/platforms/abstractions,
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../constantine/math/config/curves,
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../constantine/math/arithmetic,
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../constantine/math/extension_fields,
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../constantine/math/ec_shortweierstrass,
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../constantine/math/constants/zoo_subgroups,
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../constantine/math/pairing/[
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cyclotomic_subgroup,
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lines_eval,
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pairing_bls12,
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pairing_bn
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],
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../constantine/math/constants/zoo_pairings,
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# Helpers
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../helpers/prng_unsafe,
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./bench_blueprint
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export zoo_pairings # generic sandwich https://github.com/nim-lang/Nim/issues/11225
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export notes
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proc separator*() = separator(132)
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proc report(op, curve: string, startTime, stopTime: MonoTime, startClk, stopClk: int64, iters: int) =
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let ns = inNanoseconds((stopTime-startTime) div iters)
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let throughput = 1e9 / float64(ns)
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when SupportsGetTicks:
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echo &"{op:<40} {curve:<15} {throughput:>15.3f} ops/s {ns:>9} ns/op {(stopClk - startClk) div iters:>9} CPU cycles (approx)"
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else:
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echo &"{op:<40} {curve:<15} {throughput:>15.3f} ops/s {ns:>9} ns/op"
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template bench(op: string, C: static Curve, iters: int, body: untyped): untyped =
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measure(iters, startTime, stopTime, startClk, stopClk, body)
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report(op, $C, startTime, stopTime, startClk, stopClk, iters)
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func clearCofactor[F; G: static Subgroup](
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ec: var ECP_ShortW_Aff[F, G]) =
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# For now we don't have any affine operation defined
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var t {.noInit.}: ECP_ShortW_Prj[F, G]
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t.fromAffine(ec)
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t.clearCofactor()
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ec.affine(t)
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func random_point*(rng: var RngState, EC: typedesc): EC {.noInit.} =
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result = rng.random_unsafe(EC)
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result.clearCofactor()
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proc lineDoubleBench*(C: static Curve, iters: int) =
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var line: Line[Fp2[C]]
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var T = rng.random_point(ECP_ShortW_Prj[Fp2[C], G2])
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let P = rng.random_point(ECP_ShortW_Aff[Fp[C], G1])
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bench("Line double", C, iters):
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line.line_double(T, P)
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proc lineAddBench*(C: static Curve, iters: int) =
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var line: Line[Fp2[C]]
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var T = rng.random_point(ECP_ShortW_Prj[Fp2[C], G2])
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let
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P = rng.random_point(ECP_ShortW_Aff[Fp[C], G1])
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Q = rng.random_point(ECP_ShortW_Aff[Fp2[C], G2])
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bench("Line add", C, iters):
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line.line_add(T, Q, P)
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proc mulFp12byLine_Bench*(C: static Curve, iters: int) =
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var line: Line[Fp2[C]]
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var T = rng.random_point(ECP_ShortW_Prj[Fp2[C], G2])
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let P = rng.random_point(ECP_ShortW_Aff[Fp[C], G1])
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line.line_double(T, P)
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var f = rng.random_unsafe(Fp12[C])
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bench("Mul 𝔽p12 by line", C, iters):
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f.mul_by_line(line)
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proc mulLinebyLine_Bench*(C: static Curve, iters: int) =
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var l0, l1: Line[Fp2[C]]
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var T = rng.random_point(ECP_ShortW_Prj[Fp2[C], G2])
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let P = rng.random_point(ECP_ShortW_Aff[Fp[C], G1])
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l0.line_double(T, P)
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l1.line_double(T, P)
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var f {.noInit.}: Fp12[C]
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bench("Mul line by line", C, iters):
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f.prod_from_2_lines(l0, l1)
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proc mulFp12by_prod2lines_Bench*(C: static Curve, iters: int) =
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var f = rng.random_unsafe(Fp12[C])
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let g = rng.random_unsafe(Fp12[C])
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bench("Mul 𝔽p12 by product of 2 lines", C, iters):
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f.mul_by_prod_of_2_lines(g)
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proc mulFp12_by_2lines_v1_Bench*(C: static Curve, iters: int) =
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var l0, l1: Line[Fp2[C]]
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var T = rng.random_point(ECP_ShortW_Prj[Fp2[C], G2])
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let P = rng.random_point(ECP_ShortW_Aff[Fp[C], G1])
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l0.line_double(T, P)
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l1.line_double(T, P)
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var f = rng.random_unsafe(Fp12[C])
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bench("mulFp12 by 2 lines v1", C, iters):
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f.mul_by_line(l0)
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f.mul_by_line(l1)
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proc mulFp12_by_2lines_v2_Bench*(C: static Curve, iters: int) =
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var l0, l1: Line[Fp2[C]]
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var T = rng.random_point(ECP_ShortW_Prj[Fp2[C], G2])
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let P = rng.random_point(ECP_ShortW_Aff[Fp[C], G1])
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l0.line_double(T, P)
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l1.line_double(T, P)
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var f = rng.random_unsafe(Fp12[C])
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bench("mulFp12 by 2 lines v2", C, iters):
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var f2 {.noInit.}: Fp12[C]
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f2.prod_from_2_lines(l0, l1)
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f.mul_by_prod_of_2_lines(f2)
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proc mulBench*(C: static Curve, iters: int) =
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var r: Fp12[C]
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let x = rng.random_unsafe(Fp12[C])
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let y = rng.random_unsafe(Fp12[C])
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preventOptimAway(r)
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bench("Multiplication 𝔽p12", C, iters):
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r.prod(x, y)
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proc sqrBench*(C: static Curve, iters: int) =
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var r: Fp12[C]
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let x = rng.random_unsafe(Fp12[C])
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preventOptimAway(r)
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bench("Squaring 𝔽p12", C, iters):
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r.square(x)
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proc cyclotomicSquare_Bench*(C: static Curve, iters: int) =
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var f = rng.random_unsafe(Fp12[C])
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bench("Squaring 𝔽p12 in cyclotomic subgroup", C, iters):
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f.cyclotomic_square()
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proc expCurveParamBench*(C: static Curve, iters: int) =
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var f = rng.random_unsafe(Fp12[C])
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bench("Cyclotomic Exp by curve parameter", C, iters):
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f.cycl_exp_by_curve_param(f)
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proc cyclotomicSquareCompressed_Bench*(C: static Curve, iters: int) =
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var f = rng.random_unsafe(Fp12[C])
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var g: G2345[Fp2[C]]
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g.fromFpk(f)
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bench("Cyclotomic Compressed Squaring 𝔽p12", C, iters):
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g.cyclotomic_square_compressed()
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proc cyclotomicDecompression_Bench*(C: static Curve, iters: int) =
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var f = rng.random_unsafe(Fp12[C])
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var gs: array[1, G2345[Fp2[C]]]
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gs[0].fromFpk(f)
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var g1s_ratio: array[1, tuple[g1_num, g1_den: Fp2[C]]]
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var g0s, g1s: array[1, Fp2[C]]
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bench("Cyclotomic Decompression 𝔽p12", C, iters):
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recover_g1(g1s_ratio[0].g1_num, g1s_ratio[0].g1_den, gs[0])
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g1s.batch_ratio_g1s(g1s_ratio)
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g0s[0].recover_g0(g1s[0], gs[0])
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proc millerLoopBLS12Bench*(C: static Curve, iters: int) =
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let
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P = rng.random_point(ECP_ShortW_Aff[Fp[C], G1])
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Q = rng.random_point(ECP_ShortW_Aff[Fp2[C], G2])
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var f: Fp12[C]
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bench("Miller Loop BLS12", C, iters):
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f.millerLoopGenericBLS12(P, Q)
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proc millerLoopBNBench*(C: static Curve, iters: int) =
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let
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P = rng.random_point(ECP_ShortW_Aff[Fp[C], G1])
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Q = rng.random_point(ECP_ShortW_Aff[Fp2[C], G2])
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var f: Fp12[C]
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bench("Miller Loop BN", C, iters):
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f.millerLoopGenericBN(P, Q)
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proc finalExpEasyBench*(C: static Curve, iters: int) =
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var r = rng.random_unsafe(Fp12[C])
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bench("Final Exponentiation Easy", C, iters):
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r.finalExpEasy()
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proc finalExpHardBLS12Bench*(C: static Curve, iters: int) =
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var r = rng.random_unsafe(Fp12[C])
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r.finalExpEasy()
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bench("Final Exponentiation Hard BLS12", C, iters):
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r.finalExpHard_BLS12()
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proc finalExpHardBNBench*(C: static Curve, iters: int) =
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var r = rng.random_unsafe(Fp12[C])
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r.finalExpEasy()
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bench("Final Exponentiation Hard BN", C, iters):
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r.finalExpHard_BN()
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proc finalExpBLS12Bench*(C: static Curve, iters: int) =
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var r = rng.random_unsafe(Fp12[C])
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bench("Final Exponentiation BLS12", C, iters):
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r.finalExpEasy()
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r.finalExpHard_BLS12()
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proc finalExpBNBench*(C: static Curve, iters: int) =
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var r = rng.random_unsafe(Fp12[C])
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bench("Final Exponentiation BN", C, iters):
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r.finalExpEasy()
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r.finalExpHard_BN()
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proc pairingBLS12Bench*(C: static Curve, iters: int) =
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let
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P = rng.random_point(ECP_ShortW_Aff[Fp[C], G1])
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Q = rng.random_point(ECP_ShortW_Aff[Fp2[C], G2])
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var f: Fp12[C]
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bench("Pairing BLS12", C, iters):
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f.pairing_bls12(P, Q)
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proc pairing_multisingle_BLS12Bench*(C: static Curve, N: static int, iters: int) =
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var
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Ps {.noInit.}: array[N, ECP_ShortW_Aff[Fp[C], G1]]
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Qs {.noInit.}: array[N, ECP_ShortW_Aff[Fp2[C], G2]]
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GTs {.noInit.}: array[N, Fp12[C]]
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for i in 0 ..< N:
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Ps[i] = rng.random_unsafe(typeof(Ps[0]))
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Qs[i] = rng.random_unsafe(typeof(Qs[0]))
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var f: Fp12[C]
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bench("Pairing BLS12 non-batched: " & $N, C, iters):
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for i in 0 ..< N:
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GTs[i].pairing_bls12(Ps[i], Qs[i])
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f = GTs[0]
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for i in 1 ..< N:
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f *= GTs[i]
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proc pairing_multipairing_BLS12Bench*(C: static Curve, N: static int, iters: int) =
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var
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Ps {.noInit.}: array[N, ECP_ShortW_Aff[Fp[C], G1]]
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Qs {.noInit.}: array[N, ECP_ShortW_Aff[Fp2[C], G2]]
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for i in 0 ..< N:
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Ps[i] = rng.random_unsafe(typeof(Ps[0]))
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Qs[i] = rng.random_unsafe(typeof(Qs[0]))
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var f: Fp12[C]
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bench("Pairing BLS12 batched: " & $N, C, iters):
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f.pairing_bls12(Ps, Qs)
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proc pairingBNBench*(C: static Curve, iters: int) =
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let
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P = rng.random_point(ECP_ShortW_Aff[Fp[C], G1])
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Q = rng.random_point(ECP_ShortW_Aff[Fp2[C], G2])
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var f: Fp12[C]
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bench("Pairing BN", C, iters):
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f.pairing_bn(P, Q)
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proc pairing_multisingle_BNBench*(C: static Curve, N: static int, iters: int) =
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var
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Ps {.noInit.}: array[N, ECP_ShortW_Aff[Fp[C], G1]]
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Qs {.noInit.}: array[N, ECP_ShortW_Aff[Fp2[C], G2]]
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GTs {.noInit.}: array[N, Fp12[C]]
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for i in 0 ..< N:
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Ps[i] = rng.random_unsafe(typeof(Ps[0]))
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Qs[i] = rng.random_unsafe(typeof(Qs[0]))
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var f: Fp12[C]
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bench("Pairing BN non-batched: " & $N, C, iters):
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for i in 0 ..< N:
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GTs[i].pairing_bn(Ps[i], Qs[i])
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f = GTs[0]
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for i in 1 ..< N:
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f *= GTs[i]
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proc pairing_multipairing_BNBench*(C: static Curve, N: static int, iters: int) =
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var
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Ps {.noInit.}: array[N, ECP_ShortW_Aff[Fp[C], G1]]
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Qs {.noInit.}: array[N, ECP_ShortW_Aff[Fp2[C], G2]]
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for i in 0 ..< N:
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Ps[i] = rng.random_unsafe(typeof(Ps[0]))
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Qs[i] = rng.random_unsafe(typeof(Qs[0]))
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var f: Fp12[C]
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bench("Pairing BN batched: " & $N, C, iters):
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f.pairing_bn(Ps, Qs)
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