constantine/benchmarks/bench_fields_template.nim
Mamy Ratsimbazafy bea798e27c
Field sqrt optimization (#168)
* add more Fp tests for Twisted Edwards curves

* add fused sqrt+division bench

* Significant fused sqrt+division improvement for any prime field over algorithm described in  "High-Speed High-Security Signature", Bernstein et al, p15 "Fast decompression", https://ed25519.cr.yp.to/ed25519-20110705.pdf

* Activate secp256k1 field benches + spring renaming of field multiplication

* addition chains for inversion and sqrt of Curve25519

* Make isSquare use addition chains

* add double-prec mul/square bench for <256-bit prime fields.
2022-01-01 16:19:35 +01:00

162 lines
5.0 KiB
Nim

# 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/config/[common, curves],
../constantine/arithmetic,
../constantine/towers,
../constantine/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 invBench*(T: typedesc, iters: int) =
var r: T
let x = rng.random_unsafe(T)
preventOptimAway(r)
bench("Inversion (constant-time default impl)", T, iters):
r.inv(x)
proc invEuclidBench*(T: typedesc, iters: int) =
var r: T
let x = rng.random_unsafe(T)
preventOptimAway(r)
bench("Inversion (constant-time Euclid)", T, iters):
r.inv_euclid(x)
proc invPowFermatBench*(T: typedesc, iters: int) =
let x = rng.random_unsafe(T)
const exponent = T.getInvModExponent()
bench("Inversion (exponentiation p-2, Little Fermat)", T, iters):
var r = x
r.powUnsafeExponent(exponent)
proc invAddChainBench*(T: typedesc, iters: int) =
var r: T
let x = rng.random_unsafe(T)
preventOptimAway(r)
bench("Inversion (addition chain)", T, iters):
r.inv_addchain(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)