197 lines
6.4 KiB
Nim
197 lines
6.4 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 finite fields
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#
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# ############################################################
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import
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# Internals
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../constantine/config/[curves, common],
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../constantine/arithmetic,
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../constantine/towers,
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# Helpers
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../helpers/[prng_unsafe, static_for],
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./platforms,
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# Standard library
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std/[monotimes, times, strformat, strutils, macros]
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var rng: RngState
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let seed = uint32(getTime().toUnix() and (1'i64 shl 32 - 1)) # unixTime mod 2^32
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rng.seed(seed)
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echo "bench xoshiro512** seed: ", seed
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# warmup
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proc warmup*() =
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# Warmup - make sure cpu is on max perf
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let start = cpuTime()
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var foo = 123
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for i in 0 ..< 300_000_000:
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foo += i*i mod 456
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foo = foo mod 789
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# Compiler shouldn't optimize away the results as cpuTime rely on sideeffects
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let stop = cpuTime()
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echo &"Warmup: {stop - start:>4.4f} s, result {foo} (displayed to avoid compiler optimizing warmup away)\n"
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warmup()
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when defined(gcc):
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echo "\nCompiled with GCC"
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elif defined(clang):
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echo "\nCompiled with Clang"
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elif defined(vcc):
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echo "\nCompiled with MSVC"
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elif defined(icc):
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echo "\nCompiled with ICC"
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else:
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echo "\nCompiled with an unknown compiler"
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echo "Optimization level => "
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echo " no optimization: ", not defined(release)
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echo " release: ", defined(release)
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echo " danger: ", defined(danger)
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echo " inline assembly: ", UseASM_X86_64
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when (sizeof(int) == 4) or defined(Constantine32):
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echo "⚠️ Warning: using Constantine with 32-bit limbs"
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else:
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echo "Using Constantine with 64-bit limbs"
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when SupportsCPUName:
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echo "Running on ", cpuName(), ""
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when SupportsGetTicks:
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echo "\n⚠️ Cycles measurements are approximate and use the CPU nominal clock: Turbo-Boost and overclocking will skew them."
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echo "i.e. a 20% overclock will be about 20% off (assuming no dynamic frequency scaling)"
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echo "\n=================================================================================================================\n"
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proc separator*() =
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echo "-".repeat(145)
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proc report(op, field: string, start, stop: MonoTime, startClk, stopClk: int64, iters: int) =
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let ns = inNanoseconds((stop-start) div iters)
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let throughput = 1e9 / float64(ns)
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when SupportsGetTicks:
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echo &"{op:<28} {field:<40} {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:<28} {field:<40} {throughput:>15.3f} ops/s {ns:>9} ns/op"
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proc notes*() =
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echo "Notes:"
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echo " - Compilers:"
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echo " Compilers are severely limited on multiprecision arithmetic."
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echo " Inline Assembly is used by default (nimble bench_fp)."
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echo " Bench without assembly can use \"nimble bench_fp_gcc\" or \"nimble bench_fp_clang\"."
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echo " GCC is significantly slower than Clang on multiprecision arithmetic due to catastrophic handling of carries."
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echo " - The simplest operations might be optimized away by the compiler."
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echo " - Fast Squaring and Fast Multiplication are possible if there are spare bits in the prime representation (i.e. the prime uses 254 bits out of 256 bits)"
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template bench(op: string, desc: string, iters: int, body: untyped): untyped =
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let start = getMonotime()
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when SupportsGetTicks:
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let startClk = getTicks()
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for _ in 0 ..< iters:
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body
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when SupportsGetTicks:
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let stopClk = getTicks()
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let stop = getMonotime()
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when not SupportsGetTicks:
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let startClk = -1'i64
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let stopClk = -1'i64
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report(op, desc, start, stop, startClk, stopClk, iters)
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func random_unsafe(rng: var RngState, a: var FpDbl, Base: typedesc) =
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## Initialize a standalone Double-Width field element
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## we don't reduce it modulo p², this is only used for benchmark
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let aHi = rng.random_unsafe(Base)
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let aLo = rng.random_unsafe(Base)
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for i in 0 ..< aLo.mres.limbs.len:
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a.limbs2x[i] = aLo.mres.limbs[i]
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for i in 0 ..< aHi.mres.limbs.len:
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a.limbs2x[aLo.mres.limbs.len+i] = aHi.mres.limbs[i]
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proc sumNoReduce(T: typedesc, iters: int) =
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var r: T
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let a = rng.random_unsafe(T)
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let b = rng.random_unsafe(T)
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bench("Addition no reduce", $T, iters):
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r.sumNoReduce(a, b)
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proc sum(T: typedesc, iters: int) =
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var r: T
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let a = rng.random_unsafe(T)
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let b = rng.random_unsafe(T)
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bench("Addition", $T, iters):
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r.sum(a, b)
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proc diffNoReduce(T: typedesc, iters: int) =
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var r: T
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let a = rng.random_unsafe(T)
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let b = rng.random_unsafe(T)
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bench("Substraction no reduce", $T, iters):
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r.diffNoReduce(a, b)
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proc diff(T: typedesc, iters: int) =
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var r: T
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let a = rng.random_unsafe(T)
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let b = rng.random_unsafe(T)
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bench("Substraction", $T, iters):
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r.diff(a, b)
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proc diff2xNoReduce(T: typedesc, iters: int) =
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var r, a, b: doubleWidth(T)
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rng.random_unsafe(r, T)
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rng.random_unsafe(a, T)
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rng.random_unsafe(b, T)
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bench("Substraction 2x no reduce", $doubleWidth(T), iters):
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r.diffNoReduce(a, b)
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proc diff2x(T: typedesc, iters: int) =
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var r, a, b: doubleWidth(T)
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rng.random_unsafe(r, T)
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rng.random_unsafe(a, T)
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rng.random_unsafe(b, T)
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bench("Substraction 2x", $doubleWidth(T), iters):
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r.diff(a, b)
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proc mul2xBench*(rLen, aLen, bLen: static int, iters: int) =
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var r: BigInt[rLen]
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let a = rng.random_unsafe(BigInt[aLen])
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let b = rng.random_unsafe(BigInt[bLen])
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bench("Multiplication", $rLen & " <- " & $aLen & " x " & $bLen, iters):
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r.prod(a, b)
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proc reduce2x*(T: typedesc, iters: int) =
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var r: T
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var t: doubleWidth(T)
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rng.random_unsafe(t, T)
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bench("Reduce 2x-width", $T & " <- " & $doubleWidth(T), iters):
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r.reduce(t)
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proc main() =
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separator()
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sumNoReduce(Fp[BLS12_381], iters = 10_000_000)
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diffNoReduce(Fp[BLS12_381], iters = 10_000_000)
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sum(Fp[BLS12_381], iters = 10_000_000)
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diff(Fp[BLS12_381], iters = 10_000_000)
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diff2x(Fp[BLS12_381], iters = 10_000_000)
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diff2xNoReduce(Fp[BLS12_381], iters = 10_000_000)
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mul2xBench(768, 384, 384, iters = 10_000_000)
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reduce2x(Fp[BLS12_381], iters = 10_000_000)
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separator()
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main()
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notes()
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