70 lines
2.4 KiB
Nim
70 lines
2.4 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 modular exponentiation
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#
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# ############################################################
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# 2 implementations are available
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# - 1 is constant time
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# - 1 exposes the exponent bits to:
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# timing attack,
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# memory access analysis,
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# power analysis (i.e. oscilloscopes on embedded)
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# It is suitable for public exponents for example
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# to compute modular inversion via the Fermat method
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import
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../constantine/config/[common, curves],
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../constantine/arithmetic/[bigints_checked, finite_fields],
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../constantine/io/[io_bigints, io_fields],
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random, std/monotimes, times, strformat
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const Iters = 10_000
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randomize(1234)
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proc mainCT() =
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var x: Fp[BLS12_381]
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# BN254 field modulus
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x.fromHex("0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47")
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# BLS12-381 prime - 2
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let exponent = BigInt[381].fromHex("0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaa9")
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let start = getMonotime()
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for _ in 0 ..< Iters:
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var y = x
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x.pow(exponent)
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let stop = getMonotime()
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echo &"Time for {Iters} iterations (constant-time 381-bit): {inMilliseconds(stop-start)} ms"
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proc mainUnsafe() =
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var x: Fp[BLS12_381]
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# BN254 field modulus
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x.fromHex("0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47")
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# BLS12-381 prime - 2
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let exponent = BigInt[381].fromHex("0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaa9")
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let start = getMonotime()
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for _ in 0 ..< Iters:
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var y = x
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x.powUnsafeExponent(exponent)
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let stop = getMonotime()
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echo &"Time for {Iters} iterations (unsafe 381-bit): {inMilliseconds(stop-start)} ms"
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mainCT()
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mainUnsafe()
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# 10_000 iterations with -d:danger on i9-9980XE all-core turbo 4.1GHz
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# Time for 10000 iterations (constant-time 381-bit): 1349 ms
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# Time for 10000 iterations (unsafe 381-bit): 1226 ms
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