# 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 modular exponentiation # # ############################################################ # 2 implementations are available # - 1 is constant time # - 1 exposes the exponent bits to: # timing attack, # memory access analysis, # power analysis (i.e. oscilloscopes on embedded) # It is suitable for public exponents for example # to compute modular inversion via the Fermat method import ../constantine/config/[common, curves], ../constantine/arithmetic/[bigints_checked, finite_fields], ../constantine/io/[io_bigints, io_fields], random, std/monotimes, times, strformat, ./timers const Iters = 1_000_000 randomize(1234) echo "\n⚠️ Measurements are approximate and use the CPU nominal clock: Turbo-Boost and overclocking will skew them." echo "==========================================================================================================\n" proc addBench() = var r, x, y: Fp[BLS12_381] # BN254 field modulus x.fromHex("0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47") # BLS12-381 prime - 2 y.fromHex("0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaa9") let start = getMonotime() let startClk = getTicks() for _ in 0 ..< Iters: x += y let stopClk = getTicks() let stop = getMonotime() echo &"Time for {Iters} additions in 𝔽p (constant-time 381-bit): {inMilliseconds(stop-start)} ms" echo &"Time for 1 addition in 𝔽p ==> {inNanoseconds((stop-start) div Iters)} ns" echo &"Cycles per addition 𝔽p ==> {(stopClk - startClk) div Iters} cycles" addBench() proc mulBench() = var r, x, y: Fp[BLS12_381] # BN254 field modulus x.fromHex("0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47") # BLS12-381 prime - 2 y.fromHex("0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaa9") let start = getMonotime() let startClk = getTicks() for _ in 0 ..< Iters: r.prod(x, y) let stopClk = getTicks() let stop = getMonotime() echo &"Time for {Iters} multiplications 𝔽p (constant-time 381-bit): {inMilliseconds(stop-start)} ms" echo &"Time for 1 multiplication 𝔽p ==> {inNanoseconds((stop-start) div Iters)} ns" echo &"Cycles per multiplication 𝔽p ==> {(stopClk - startClk) div Iters} cycles" mulBench()