# 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 finite fields # # ############################################################ import # Internals ../constantine/platforms/abstractions, ../constantine/math/config/curves, ../constantine/math/arithmetic, ../constantine/math/extension_fields, ../constantine/math/curves/zoo_square_roots, # Helpers ../helpers/prng_unsafe, ./bench_blueprint export notes proc separator*() = separator(165) proc smallSeparator*() = separator(8) proc report(op, field: string, start, stop: MonoTime, startClk, stopClk: int64, iters: int) = let ns = inNanoseconds((stop-start) div iters) let throughput = 1e9 / float64(ns) when SupportsGetTicks: echo &"{op:<70} {field:<18} {throughput:>15.3f} ops/s {ns:>9} ns/op {(stopClk - startClk) div iters:>9} CPU cycles (approx)" else: echo &"{op:<70} {field:<18} {throughput:>15.3f} ops/s {ns:>9} ns/op" macro fixFieldDisplay(T: typedesc): untyped = # At compile-time, enums are integers and their display is buggy # we get the Curve ID instead of the curve name. let instantiated = T.getTypeInst() var name = $instantiated[1][0] # 𝔽p name.add "[" & $Curve(instantiated[1][1].intVal) & "]" result = newLit name template bench(op: string, T: typedesc, iters: int, body: untyped): untyped = measure(iters, startTime, stopTime, startClk, stopClk, body) report(op, fixFieldDisplay(T), startTime, stopTime, startClk, stopClk, iters) proc addBench*(T: typedesc, iters: int) = var x = rng.random_unsafe(T) let y = rng.random_unsafe(T) bench("Addition", T, iters): x += y proc subBench*(T: typedesc, iters: int) = var x = rng.random_unsafe(T) let y = rng.random_unsafe(T) preventOptimAway(x) bench("Substraction", T, iters): x -= y proc negBench*(T: typedesc, iters: int) = var r: T let x = rng.random_unsafe(T) bench("Negation", T, iters): r.neg(x) proc ccopyBench*(T: typedesc, iters: int) = var r: T let x = rng.random_unsafe(T) bench("Conditional Copy", T, iters): r.ccopy(x, CtFalse) proc div2Bench*(T: typedesc, iters: int) = var x = rng.random_unsafe(T) bench("Division by 2", T, iters): x.div2() proc mulBench*(T: typedesc, iters: int) = var r: T let x = rng.random_unsafe(T) let y = rng.random_unsafe(T) preventOptimAway(r) bench("Multiplication", T, iters): r.prod(x, y) proc sqrBench*(T: typedesc, iters: int) = var r: T let x = rng.random_unsafe(T) preventOptimAway(r) bench("Squaring", T, iters): r.square(x) proc mulUnrBench*(T: typedesc, iters: int) = var r: doublePrec(T) let x = rng.random_unsafe(T) let y = rng.random_unsafe(T) preventOptimAway(r) bench("Multiplication unreduced", T, iters): r.prod2x(x, y) proc sqrUnrBench*(T: typedesc, iters: int) = var r: doublePrec(T) let x = rng.random_unsafe(T) preventOptimAway(r) bench("Squaring unreduced", T, iters): r.square2x(x) proc toBigBench*(T: typedesc, iters: int) = var r: matchingBigInt(T.C) let x = rng.random_unsafe(T) preventOptimAway(r) bench("BigInt <- field conversion", T, iters): r.fromField(x) proc toFieldBench*(T: typedesc, iters: int) = var r: T let x = rng.random_unsafe(matchingBigInt(T.C)) preventOptimAway(r) bench("BigInt -> field conversion", T, iters): r.fromBig(x) proc invBench*(T: typedesc, iters: int) = var r: T let x = rng.random_unsafe(T) preventOptimAway(r) bench("Inversion (constant-time)", T, iters): r.inv(x) proc sqrtBench*(T: typedesc, iters: int) = let x = rng.random_unsafe(T) const algoType = block: when T.C.hasP3mod4_primeModulus(): "p ≡ 3 (mod 4)" elif T.C.hasP5mod8_primeModulus(): "p ≡ 5 (mod 8)" else: "Tonelli-Shanks" const addchain = block: when T.C.hasSqrtAddchain() or T.C.hasTonelliShanksAddchain(): "with addition chain" else: "without addition chain" const desc = "Square Root (constant-time " & algoType & " " & addchain & ")" bench(desc, T, iters): var r = x discard r.sqrt_if_square() proc sqrtRatioBench*(T: typedesc, iters: int) = var r: T let u = rng.random_unsafe(T) let v = rng.random_unsafe(T) bench("Fused SquareRoot+Division+isSquare sqrt(u/v)", T, iters): let isSquare = r.sqrt_ratio_if_square(u, v) proc powBench*(T: typedesc, iters: int) = let x = rng.random_unsafe(T) let exponent = rng.random_unsafe(BigInt[T.C.getCurveOrderBitwidth()]) bench("Exp curve order (constant-time) - " & $exponent.bits & "-bit", T, iters): var r = x r.pow(exponent) proc powUnsafeBench*(T: typedesc, iters: int) = let x = rng.random_unsafe(T) let exponent = rng.random_unsafe(BigInt[T.C.getCurveOrderBitwidth()]) bench("Exp curve order (Leak exponent bits) - " & $exponent.bits & "-bit", T, iters): var r = x r.powUnsafeExponent(exponent)