constantine/benchmarks/bench_fp6.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.

import
  # Internals
  ../constantine/config/curves,
  ../constantine/towers,
  # Helpers
  ../helpers/static_for,
  ./bench_fields_template,
  # Standard library
  std/strutils

# ############################################################
#
#                    Benchmark of 𝔽p6
#
# ############################################################


const Iters = 100_000
const InvIters = 1000
const AvailableCurves = [
  # Pairing-Friendly curves
  BN254_Nogami,
  BN254_Snarks,
  BLS12_377,
  BLS12_381,
]

proc main() =
  separator()
  staticFor i, 0, AvailableCurves.len:
    const curve = AvailableCurves[i]
    addBench(Fp6[curve], Iters)
    subBench(Fp6[curve], Iters)
    negBench(Fp6[curve], Iters)
    mulBench(Fp6[curve], Iters)
    sqrBench(Fp6[curve], Iters)
    invBench(Fp6[curve], InvIters)
    separator()

main()
notes()
-												Benchmark template for 𝔽p, 𝔽p2, 𝔽p6

											
										
										
											2020-03-21 01:31:31 +00:00
+								# 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.
 								import
 								  # Internals
 								  ../constantine/config/curves,
-												Refactor: Higher-Kinded Tower of Extension Fields (#25)

* Mention that the inverse of 0 is 0 (TODO tests)

* Introduce "Higher-Kinded tower extensions"

* rename isCOmplexExtension -> fromComplexExtension

* update benchmarks with the new tower scheme

* Try to recover some speed on mul/squaring for an optimal tower (but this was not it)
											
										
										
											2020-04-14 00:05:42 +00:00
+								  ../constantine/towers,
-												Benchmark template for 𝔽p, 𝔽p2, 𝔽p6

											
										
										
											2020-03-21 01:31:31 +00:00
+								  # Helpers
 								  ../helpers/static_for,
 								  ./bench_fields_template,
 								  # Standard library
 								  std/strutils
 								# ############################################################
 								#
-												Implement 𝔽p12 inversion, enable 𝔽p12 tests and bench

											
										
										
											2020-04-09 12:28:01 +00:00
+								#                    Benchmark of 𝔽p6
-												Benchmark template for 𝔽p, 𝔽p2, 𝔽p6

											
										
										
											2020-03-21 01:31:31 +00:00
+								#
 								# ############################################################
-												Naive pairings + Naive cofactor clearing (#82)

* Pairing - initial commit
- line functions
- sparse Fp12 functions

* Small fixes:
- Line parametrized by twist for generic algorithm
- Add a conjugate operator for quadratic extensions
- Have frobenius use it
- Create an Affine coordinate type for elliptic curve

* Implement (failing) pairing test

* Stash pairing debug session, temp switch Fp12 over Fp4

* Proper naive pairing on BLS12-381

* Frobenius map

* Implement naive pairing for BN curves

* Add pairing tests to CI + reduce time spent on lower-level tests

* Test without assembler in Github Actions + less base layers test iterations
											
										
										
											2020-09-21 21:24:00 +00:00
+								const Iters = 100_000
-												Benchmark template for 𝔽p, 𝔽p2, 𝔽p6

											
										
										
											2020-03-21 01:31:31 +00:00
+								const InvIters = 1000
 								const AvailableCurves = [
-												Add more curves for testing: Curve25519, BLS12-377, BN446, FKM-447, BLS12-461, BN462

											
										
										
											2020-03-21 12:05:58 +00:00
+								  # Pairing-Friendly curves
-												BLS12-377 (#91)

* add Sage for constant time tonelli shanks

* Fused sqrt and invsqrt via Tonelli Shanks

* isolate sqrt in their own folder

* Implement constant-time Tonelli Shanks for any prime

* Implement Fp2 sqrt for any non-residue

* Add tests for BLS12_377

* Lattice decomposition script for BLS12_377 G1

* BLS12-377 G1 GLV ok, G2 GLV issue

* Proper endomorphism acceleration support for BLS12-377

* Add naive pairing support for BLS12-377

* Activate more bench for BLS12-377

* Fix MSB computation

* Optimize final exponentiation + add benches
											
										
										
											2020-09-27 07:15:14 +00:00
+								  BN254_Nogami,
-												Properly distinguish between Nogami and Snark/Ethereum BN254 closes #19

											
										
										
											2020-04-12 01:01:50 +00:00
+								  BN254_Snarks,
-												Add more curves for testing: Curve25519, BLS12-377, BN446, FKM-447, BLS12-461, BN462

											
										
										
											2020-03-21 12:05:58 +00:00
+								  BLS12_377,
-												Remove unused curves

											
										
										
											2020-09-27 11:13:45 +00:00
+								  BLS12_381,
-												Benchmark template for 𝔽p, 𝔽p2, 𝔽p6

											
										
										
											2020-03-21 01:31:31 +00:00
+								]
 								proc main() =
-												Add EC bench on G1 + Add throughput to benches

											
										
										
											2020-04-15 17:38:02 +00:00
+								  separator()
-												Benchmark template for 𝔽p, 𝔽p2, 𝔽p6

											
										
										
											2020-03-21 01:31:31 +00:00
+								  staticFor i, 0, AvailableCurves.len:
 								    const curve = AvailableCurves[i]
-												Add multiplication in 𝔽p6 = 𝔽p2[∛(1+𝑖)]

											
										
										
											2020-03-21 18:03:57 +00:00
+								    addBench(Fp6[curve], Iters)
 								    subBench(Fp6[curve], Iters)
 								    negBench(Fp6[curve], Iters)
 								    mulBench(Fp6[curve], Iters)
-												Benchmark template for 𝔽p, 𝔽p2, 𝔽p6

											
										
										
											2020-03-21 01:31:31 +00:00
+								    sqrBench(Fp6[curve], Iters)
-												Inverse in cubic extension field 𝔽p6 = 𝔽p2[∛(1 + 𝑖)]

											
										
										
											2020-03-21 22:47:43 +00:00
+								    invBench(Fp6[curve], InvIters)
-												Add EC bench on G1 + Add throughput to benches

											
										
										
											2020-04-15 17:38:02 +00:00
+								    separator()
-												Benchmark template for 𝔽p, 𝔽p2, 𝔽p6

											
										
										
											2020-03-21 01:31:31 +00:00
 								main()
-												Assembly backend (#69)

* Proof-of-Concept Assembly code generator

* Tag inline per procedure so we can easily track the tradeoff on tower fields

* Implement Assembly for modular addition (but very curious off-by-one)

* Fix off-by one for moduli with non msb set

* Stash (super fast) alternative but still off by carry

* Fix GCC optimizing ASM away

* Save 1 register to allow compiling for BLS12-381 (in the GMP test)

* The compiler cannot find enough registers if the ASM file is not compiled with -O3

* Add modsub

* Add field negation

* Implement no-carry Assembly optimized field multiplication

* Expose UseX86ASM to the EC benchmark

* omit frame pointer to save registers instead of hardcoding -O3. Also ensure early clobber constraints for Clang

* Prepare for assembly fallback

* Implement fallback for CPU that don't support ADX and BMI2

* Add CPU runtime detection

* Update README closes #66

* Remove commented out code
											
										
										
											2020-07-24 20:02:30 +00:00
+								notes()