# 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. # ############################################################ # # Benchmark of pairings # # ############################################################ import # Internals ../constantine/config/[curves, common], ../constantine/arithmetic, ../constantine/io/io_bigints, ../constantine/towers, ../constantine/elliptic/[ec_shortweierstrass_projective, ec_shortweierstrass_affine], ../constantine/hash_to_curve/cofactors, ../constantine/pairing/[ cyclotomic_fp12, lines_projective, mul_fp12_by_lines, pairing_bls12, pairing_bn ], ../constantine/curves/zoo_pairings, # Helpers ../helpers/prng_unsafe, ./bench_blueprint export zoo_pairings # generic sandwich https://github.com/nim-lang/Nim/issues/11225 export notes proc separator*() = separator(132) proc report(op, curve: string, startTime, stopTime: MonoTime, startClk, stopClk: int64, iters: int) = let ns = inNanoseconds((stopTime-startTime) div iters) let throughput = 1e9 / float64(ns) when SupportsGetTicks: echo &"{op:<40} {curve:<15} {throughput:>15.3f} ops/s {ns:>9} ns/op {(stopClk - startClk) div iters:>9} CPU cycles (approx)" else: echo &"{op:<40} {curve:<15} {throughput:>15.3f} ops/s {ns:>9} ns/op" template bench(op: string, C: static Curve, iters: int, body: untyped): untyped = measure(iters, startTime, stopTime, startClk, stopClk, body) report(op, $C, startTime, stopTime, startClk, stopClk, iters) func clearCofactorReference[F; Tw: static Twisted]( ec: var ECP_ShortW_Aff[F, Tw]) = # For now we don't have any affine operation defined var t {.noInit.}: ECP_ShortW_Prj[F, Tw] t.projectiveFromAffine(ec) t.clearCofactorReference() ec.affineFromProjective(t) func random_point*(rng: var RngState, EC: typedesc): EC {.noInit.} = result = rng.random_unsafe(EC) result.clearCofactorReference() proc lineDoubleBench*(C: static Curve, iters: int) = var line: Line[Fp2[C]] var T = rng.random_point(ECP_ShortW_Prj[Fp2[C], OnTwist]) let P = rng.random_point(ECP_ShortW_Aff[Fp[C], NotOnTwist]) bench("Line double", C, iters): line.line_double(T, P) proc lineAddBench*(C: static Curve, iters: int) = var line: Line[Fp2[C]] var T = rng.random_point(ECP_ShortW_Prj[Fp2[C], OnTwist]) let P = rng.random_point(ECP_ShortW_Aff[Fp[C], NotOnTwist]) Q = rng.random_point(ECP_ShortW_Aff[Fp2[C], OnTwist]) bench("Line add", C, iters): line.line_add(T, Q, P) proc mulFp12byLine_xyz000_Bench*(C: static Curve, iters: int) = var line: Line[Fp2[C]] var T = rng.random_point(ECP_ShortW_Prj[Fp2[C], OnTwist]) let P = rng.random_point(ECP_ShortW_Aff[Fp[C], NotOnTwist]) line.line_double(T, P) var f = rng.random_unsafe(Fp12[C]) bench("Mul 𝔽p12 by line xyz000", C, iters): f.mul_sparse_by_line_xyz000(line) proc mulFp12byLine_xy000z_Bench*(C: static Curve, iters: int) = var line: Line[Fp2[C]] var T = rng.random_point(ECP_ShortW_Prj[Fp2[C], OnTwist]) let P = rng.random_point(ECP_ShortW_Aff[Fp[C], NotOnTwist]) line.line_double(T, P) var f = rng.random_unsafe(Fp12[C]) bench("Mul 𝔽p12 by line xy000z", C, iters): f.mul_sparse_by_line_xy000z(line) proc mulLinebyLine_xyz000_Bench*(C: static Curve, iters: int) = var l0, l1: Line[Fp2[C]] var T = rng.random_point(ECP_ShortW_Prj[Fp2[C], OnTwist]) let P = rng.random_point(ECP_ShortW_Aff[Fp[C], NotOnTwist]) l0.line_double(T, P) l1.line_double(T, P) var f = rng.random_unsafe(Fp12[C]) bench("Mul line xyz000 by line xyz000", C, iters): f.mul_xyz000_xyz000_into_abcdefghij00(l0, l1) proc mulLinebyLine_xy000z_Bench*(C: static Curve, iters: int) = var l0, l1: Line[Fp2[C]] var T = rng.random_point(ECP_ShortW_Prj[Fp2[C], OnTwist]) let P = rng.random_point(ECP_ShortW_Aff[Fp[C], NotOnTwist]) l0.line_double(T, P) l1.line_double(T, P) var f = rng.random_unsafe(Fp12[C]) bench("Mul line xy000z by line xy000z", C, iters): f.mul_xy000z_xy000z_into_abcd00efghij(l0, l1) proc mulFp12by_abcdefghij00_Bench*(C: static Curve, iters: int) = var f = rng.random_unsafe(Fp12[C]) let g = rng.random_unsafe(Fp12[C]) bench("Mul 𝔽p12 by abcdefghij00", C, iters): f.mul_sparse_by_abcdefghij00(g) proc mulFp12by_abcd00efghij_Bench*(C: static Curve, iters: int) = var f = rng.random_unsafe(Fp12[C]) let g = rng.random_unsafe(Fp12[C]) bench("Mul 𝔽p12 by abcd00efghij", C, iters): f.mul_sparse_by_abcd00efghij(g) proc mulFp12_by_2lines_v1_xyz000_Bench*(C: static Curve, iters: int) = var l0, l1: Line[Fp2[C]] var T = rng.random_point(ECP_ShortW_Prj[Fp2[C], OnTwist]) let P = rng.random_point(ECP_ShortW_Aff[Fp[C], NotOnTwist]) l0.line_double(T, P) l1.line_double(T, P) var f = rng.random_unsafe(Fp12[C]) bench("mulFp12 by 2 lines v1", C, iters): f.mul_sparse_by_line_xyz000(l0) f.mul_sparse_by_line_xyz000(l1) proc mulFp12_by_2lines_v2_xyz000_Bench*(C: static Curve, iters: int) = var l0, l1: Line[Fp2[C]] var T = rng.random_point(ECP_ShortW_Prj[Fp2[C], OnTwist]) let P = rng.random_point(ECP_ShortW_Aff[Fp[C], NotOnTwist]) l0.line_double(T, P) l1.line_double(T, P) var f = rng.random_unsafe(Fp12[C]) bench("mulFp12 by 2 lines v2", C, iters): var f2 {.noInit.}: Fp12[C] f2.mul_xyz000_xyz000_into_abcdefghij00(l0, l1) f.mul_sparse_by_abcdefghij00(f2) proc mulFp12_by_2lines_v1_xy000z_Bench*(C: static Curve, iters: int) = var l0, l1: Line[Fp2[C]] var T = rng.random_point(ECP_ShortW_Prj[Fp2[C], OnTwist]) let P = rng.random_point(ECP_ShortW_Aff[Fp[C], NotOnTwist]) l0.line_double(T, P) l1.line_double(T, P) var f = rng.random_unsafe(Fp12[C]) bench("mulFp12 by 2 lines v1", C, iters): f.mul_sparse_by_line_xy000z(l0) f.mul_sparse_by_line_xy000z(l1) proc mulFp12_by_2lines_v2_xy000z_Bench*(C: static Curve, iters: int) = var l0, l1: Line[Fp2[C]] var T = rng.random_point(ECP_ShortW_Prj[Fp2[C], OnTwist]) let P = rng.random_point(ECP_ShortW_Aff[Fp[C], NotOnTwist]) l0.line_double(T, P) l1.line_double(T, P) var f = rng.random_unsafe(Fp12[C]) bench("mulFp12 by 2 lines v2", C, iters): var f2 {.noInit.}: Fp12[C] f2.mul_xy000z_xy000z_into_abcd00efghij(l0, l1) f.mul_sparse_by_abcd00efghij(f2) proc millerLoopBLS12Bench*(C: static Curve, iters: int) = let P = rng.random_point(ECP_ShortW_Aff[Fp[C], NotOnTwist]) Q = rng.random_point(ECP_ShortW_Aff[Fp2[C], OnTwist]) var f: Fp12[C] bench("Miller Loop BLS12", C, iters): f.millerLoopGenericBLS12(P, Q) proc millerLoopBNBench*(C: static Curve, iters: int) = let P = rng.random_point(ECP_ShortW_Aff[Fp[C], NotOnTwist]) Q = rng.random_point(ECP_ShortW_Aff[Fp2[C], OnTwist]) var f: Fp12[C] bench("Miller Loop BN", C, iters): f.millerLoopGenericBN(P, Q) proc finalExpEasyBench*(C: static Curve, iters: int) = var r = rng.random_unsafe(Fp12[C]) bench("Final Exponentiation Easy", C, iters): r.finalExpEasy() proc finalExpHardBLS12Bench*(C: static Curve, iters: int) = var r = rng.random_unsafe(Fp12[C]) r.finalExpEasy() bench("Final Exponentiation Hard BLS12", C, iters): r.finalExpHard_BLS12() proc finalExpHardBNBench*(C: static Curve, iters: int) = var r = rng.random_unsafe(Fp12[C]) r.finalExpEasy() bench("Final Exponentiation Hard BN", C, iters): r.finalExpHard_BN() proc finalExpBLS12Bench*(C: static Curve, iters: int) = var r = rng.random_unsafe(Fp12[C]) bench("Final Exponentiation BLS12", C, iters): r.finalExpEasy() r.finalExpHard_BLS12() proc finalExpBNBench*(C: static Curve, iters: int) = var r = rng.random_unsafe(Fp12[C]) bench("Final Exponentiation BN", C, iters): r.finalExpEasy() r.finalExpHard_BN() proc pairingBLS12Bench*(C: static Curve, iters: int) = let P = rng.random_point(ECP_ShortW_Aff[Fp[C], NotOnTwist]) Q = rng.random_point(ECP_ShortW_Aff[Fp2[C], OnTwist]) var f: Fp12[C] bench("Pairing BLS12", C, iters): f.pairing_bls12(P, Q) proc pairingBNBench*(C: static Curve, iters: int) = let P = rng.random_point(ECP_ShortW_Aff[Fp[C], NotOnTwist]) Q = rng.random_point(ECP_ShortW_Aff[Fp2[C], OnTwist]) var f: Fp12[C] bench("Pairing BN", C, iters): f.pairing_bn(P, Q)