Implementation notes: amd64, mangetsu, crypto_sign/mqqsig192

Computer: mangetsu
Architecture: amd64
CPU ID: GenuineIntel-000206a7-bfebfbff
SUPERCOP version: 20141014
Operation: crypto_sign
Primitive: mqqsig192

Time	Implementation	Compiler	Benchmark date	SUPERCOP version
114668	`ref`	`gcc-4.8 -m64 -march=corei7-avx -Os -fomit-frame-pointer`	20140927	20140907
114736	`ref`	`gcc-4.8 -m64 -march=core2 -Os -fomit-frame-pointer`	20140927	20140907
114960	`ref`	`gcc-4.8 -m64 -march=core-avx-i -Os -fomit-frame-pointer`	20140927	20140907
115104	`ref`	`gcc-4.8 -m64 -march=core2 -msse4 -Os -fomit-frame-pointer`	20140927	20140907
115224	`ref`	`gcc-4.8 -m64 -march=core2 -msse4.1 -Os -fomit-frame-pointer`	20140927	20140907
115364	`ref`	`gcc-4.8 -m64 -march=native -mtune=native -Os -fomit-frame-pointer`	20140927	20140907
115588	`ref`	`gcc-4.8 -m64 -march=corei7 -Os -fomit-frame-pointer`	20140927	20140907
117968	`ref`	`gcc-4.7 -m64 -march=core2 -Os -fomit-frame-pointer`	20140927	20140907
118232	`ref`	`gcc-4.7 -m64 -march=core-avx-i -Os -fomit-frame-pointer`	20140927	20140907
118376	`ref`	`gcc-4.7 -m64 -march=core2 -msse4 -Os -fomit-frame-pointer`	20140927	20140907
118572	`ref`	`gcc-4.7 -m64 -march=core2 -msse4.1 -Os -fomit-frame-pointer`	20140927	20140907
118588	`ref`	`gcc-4.7 -m64 -march=corei7 -Os -fomit-frame-pointer`	20140927	20140907
118616	`ref`	`gcc-4.7 -m64 -march=corei7-avx -Os -fomit-frame-pointer`	20140927	20140907
118988	`ref`	`gcc-4.7 -m64 -march=native -mtune=native -Os -fomit-frame-pointer`	20140927	20140907
375368	`ref`	`gcc-4.8 -march=k8 -Os -fomit-frame-pointer`	20140927	20140907
375392	`ref`	`gcc-4.8 -march=barcelona -Os -fomit-frame-pointer`	20140927	20140907
375472	`ref`	`gcc-4.8 -m64 -march=nocona -Os -fomit-frame-pointer`	20140927	20140907
375516	`ref`	`gcc-4.8 -march=nocona -Os -fomit-frame-pointer`	20140927	20140907
375588	`ref`	`gcc-4.8 -m64 -march=k8 -Os -fomit-frame-pointer`	20140927	20140907
375640	`ref`	`gcc-4.8 -m64 -Os -fomit-frame-pointer`	20140927	20140907
375896	`ref`	`gcc-4.8 -Os -fomit-frame-pointer`	20140927	20140907
375900	`ref`	`gcc-4.8 -m64 -march=barcelona -Os -fomit-frame-pointer`	20140927	20140907
375980	`ref`	`gcc-4.8 -fno-schedule-insns -Os -fomit-frame-pointer`	20140927	20140907
376208	`ref`	`gcc-4.8 -funroll-loops -m64 -march=k8 -Os -fomit-frame-pointer`	20140927	20140907
376260	`ref`	`gcc-4.8 -funroll-loops -march=k8 -Os -fomit-frame-pointer`	20140927	20140907
376836	`ref`	`gcc-4.8 -funroll-loops -fno-schedule-insns -Os -fomit-frame-pointer`	20140927	20140907
376836	`ref`	`gcc-4.8 -funroll-loops -m64 -Os -fomit-frame-pointer`	20140927	20140907
377084	`ref`	`gcc-4.8 -funroll-loops -Os -fomit-frame-pointer`	20140927	20140907
377100	`ref`	`gcc-4.8 -funroll-loops -m64 -march=barcelona -Os -fomit-frame-pointer`	20140927	20140907
377288	`ref`	`gcc-4.8 -funroll-loops -march=barcelona -Os -fomit-frame-pointer`	20140927	20140907
392376	`ref`	`gcc-4.7 -m64 -Os -fomit-frame-pointer`	20140927	20140907
392720	`ref`	`gcc-4.7 -march=barcelona -Os -fomit-frame-pointer`	20140927	20140907
393460	`ref`	`gcc-4.7 -m64 -march=barcelona -Os -fomit-frame-pointer`	20140927	20140907
393836	`ref`	`gcc-4.7 -march=nocona -Os -fomit-frame-pointer`	20140927	20140907
393860	`ref`	`gcc-4.7 -m64 -march=k8 -Os -fomit-frame-pointer`	20140927	20140907
407500	`ref`	`gcc-4.7 -Os -fomit-frame-pointer`	20140927	20140907
408860	`ref`	`gcc-4.7 -fno-schedule-insns -Os -fomit-frame-pointer`	20140927	20140907
409200	`ref`	`gcc-4.7 -m64 -march=nocona -Os -fomit-frame-pointer`	20140927	20140907
409212	`ref`	`gcc-4.7 -march=k8 -Os -fomit-frame-pointer`	20140927	20140907
477008	`ref`	`gcc-4.8 -funroll-loops -m64 -march=nocona -Os -fomit-frame-pointer`	20140927	20140907
480940	`ref`	`gcc-4.8 -funroll-loops -march=nocona -Os -fomit-frame-pointer`	20140927	20140907
487172	`ref`	`gcc-4.7 -funroll-loops -m64 -Os -fomit-frame-pointer`	20140927	20140907
487204	`ref`	`gcc-4.7 -funroll-loops -march=barcelona -Os -fomit-frame-pointer`	20140927	20140907
487388	`ref`	`gcc-4.7 -funroll-loops -m64 -march=barcelona -Os -fomit-frame-pointer`	20140927	20140907
487520	`ref`	`gcc-4.7 -funroll-loops -march=nocona -Os -fomit-frame-pointer`	20140927	20140907
487552	`ref`	`gcc-4.7 -funroll-loops -m64 -march=k8 -Os -fomit-frame-pointer`	20140927	20140907
487744	`ref`	`gcc-4.7 -funroll-loops -m64 -march=nocona -Os -fomit-frame-pointer`	20140927	20140907
487772	`ref`	`gcc-4.7 -funroll-loops -fno-schedule-insns -Os -fomit-frame-pointer`	20140927	20140907
488188	`ref`	`gcc-4.7 -funroll-loops -Os -fomit-frame-pointer`	20140927	20140907
488392	`ref`	`gcc-4.7 -funroll-loops -march=k8 -Os -fomit-frame-pointer`	20140927	20140907

Test failure

Implementation: crypto_sign/mqqsig192/ref
Compiler: cc

error 111
crypto_sign_open does not handle c=t overlap

Number of similar (compiler,implementation) pairs: 156, namely:

Compiler	Implementations
cc	ref
clang -O3 -fomit-frame-pointer	ref
clang -O3 -fwrapv -march=native -fomit-frame-pointer	ref
clang -O3 -fwrapv -march=native -fpolly -funroll-loops -fvectorize -fslp-vectorize -fslp-vectorize-aggressive -fomit-frame-pointer	ref
clang -O3 -fwrapv -mavx -fomit-frame-pointer	ref
clang -O3 -fwrapv -mavx -fpolly -funroll-loops -fvectorize -fslp-vectorize -fslp-vectorize-aggressive -fomit-frame-pointer	ref
clang -O3 -fwrapv -mavx -maes -mpclmul -fomit-frame-pointer	ref
clang -O3 -fwrapv -mavx -maes -mpclmul -fpolly -funroll-loops -fvectorize -fslp-vectorize -fslp-vectorize-aggressive -fomit-frame-pointer	ref
gcc-4.7	ref
gcc-4.7 -O2 -fomit-frame-pointer	ref
gcc-4.7 -O3 -fomit-frame-pointer	ref
gcc-4.7 -O -fomit-frame-pointer	ref
gcc-4.7 -fno-schedule-insns -O2 -fomit-frame-pointer	ref
gcc-4.7 -fno-schedule-insns -O3 -fomit-frame-pointer	ref
gcc-4.7 -fno-schedule-insns -O -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops	ref
gcc-4.7 -funroll-loops -O2 -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -O3 -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -O -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -fno-schedule-insns -O2 -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -fno-schedule-insns -O3 -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -fno-schedule-insns -O -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -m64 -O2 -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -m64 -O3 -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -m64 -O -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -m64 -march=barcelona -O2 -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -m64 -march=barcelona -O3 -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -m64 -march=barcelona -O -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -m64 -march=k8 -O2 -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -m64 -march=k8 -O3 -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -m64 -march=k8 -O -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -m64 -march=nocona -O2 -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -m64 -march=nocona -O3 -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -m64 -march=nocona -O -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -march=barcelona -O2 -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -march=barcelona -O3 -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -march=barcelona -O -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -march=k8 -O2 -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -march=k8 -O3 -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -march=k8 -O -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -march=nocona -O2 -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -march=nocona -O3 -fomit-frame-pointer	ref
gcc-4.7 -funroll-loops -march=nocona -O -fomit-frame-pointer	ref
gcc-4.7 -m64 -O2 -fomit-frame-pointer	ref
gcc-4.7 -m64 -O3 -fomit-frame-pointer	ref
gcc-4.7 -m64 -O -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=core-avx-i -O2 -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=core-avx-i -O3 -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=core-avx-i -O -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=core2 -O2 -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=core2 -O3 -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=core2 -O -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=core2 -msse4.1 -O2 -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=core2 -msse4.1 -O3 -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=core2 -msse4.1 -O -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=core2 -msse4 -O2 -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=core2 -msse4 -O3 -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=core2 -msse4 -O -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=corei7-avx -O2 -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=corei7-avx -O3 -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=corei7-avx -O -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=corei7 -O2 -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=corei7 -O3 -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=corei7 -O -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=k8 -O2 -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=k8 -O3 -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=k8 -O -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=native -mtune=native -O2 -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=native -mtune=native -O3 -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=native -mtune=native -O -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=nocona -O2 -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=nocona -O3 -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=nocona -O -fomit-frame-pointer	ref
gcc-4.7 -march=barcelona -O2 -fomit-frame-pointer	ref
gcc-4.7 -march=barcelona -O3 -fomit-frame-pointer	ref
gcc-4.7 -march=barcelona -O -fomit-frame-pointer	ref
gcc-4.7 -march=k8 -O2 -fomit-frame-pointer	ref
gcc-4.7 -march=k8 -O3 -fomit-frame-pointer	ref
gcc-4.7 -march=k8 -O -fomit-frame-pointer	ref
gcc-4.7 -march=nocona -O2 -fomit-frame-pointer	ref
gcc-4.7 -march=nocona -O3 -fomit-frame-pointer	ref
gcc-4.7 -march=nocona -O -fomit-frame-pointer	ref
gcc-4.8	ref
gcc-4.8 -O2 -fomit-frame-pointer	ref
gcc-4.8 -O3 -fomit-frame-pointer	ref
gcc-4.8 -O -fomit-frame-pointer	ref
gcc-4.8 -fno-schedule-insns -O2 -fomit-frame-pointer	ref
gcc-4.8 -fno-schedule-insns -O3 -fomit-frame-pointer	ref
gcc-4.8 -fno-schedule-insns -O -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops	ref
gcc-4.8 -funroll-loops -O2 -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -O3 -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -O -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -fno-schedule-insns -O2 -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -fno-schedule-insns -O3 -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -fno-schedule-insns -O -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -m64 -O2 -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -m64 -O3 -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -m64 -O -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -m64 -march=barcelona -O2 -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -m64 -march=barcelona -O3 -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -m64 -march=barcelona -O -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -m64 -march=k8 -O2 -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -m64 -march=k8 -O3 -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -m64 -march=k8 -O -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -m64 -march=nocona -O2 -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -m64 -march=nocona -O3 -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -m64 -march=nocona -O -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -march=barcelona -O2 -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -march=barcelona -O3 -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -march=barcelona -O -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -march=k8 -O2 -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -march=k8 -O3 -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -march=k8 -O -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -march=nocona -O2 -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -march=nocona -O3 -fomit-frame-pointer	ref
gcc-4.8 -funroll-loops -march=nocona -O -fomit-frame-pointer	ref
gcc-4.8 -m64 -O2 -fomit-frame-pointer	ref
gcc-4.8 -m64 -O3 -fomit-frame-pointer	ref
gcc-4.8 -m64 -O -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=core-avx-i -O2 -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=core-avx-i -O3 -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=core-avx-i -O -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=core2 -O2 -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=core2 -O3 -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=core2 -O -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=core2 -msse4.1 -O2 -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=core2 -msse4.1 -O3 -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=core2 -msse4.1 -O -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=core2 -msse4 -O2 -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=core2 -msse4 -O3 -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=core2 -msse4 -O -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=corei7-avx -O2 -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=corei7-avx -O3 -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=corei7-avx -O -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=corei7 -O2 -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=corei7 -O3 -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=corei7 -O -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=k8 -O2 -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=k8 -O3 -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=k8 -O -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=native -mtune=native -O2 -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=native -mtune=native -O3 -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=native -mtune=native -O -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=nocona -O2 -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=nocona -O3 -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=nocona -O -fomit-frame-pointer	ref
gcc-4.8 -march=barcelona -O2 -fomit-frame-pointer	ref
gcc-4.8 -march=barcelona -O3 -fomit-frame-pointer	ref
gcc-4.8 -march=barcelona -O -fomit-frame-pointer	ref
gcc-4.8 -march=k8 -O2 -fomit-frame-pointer	ref
gcc-4.8 -march=k8 -O3 -fomit-frame-pointer	ref
gcc-4.8 -march=k8 -O -fomit-frame-pointer	ref
gcc-4.8 -march=nocona -O2 -fomit-frame-pointer	ref
gcc-4.8 -march=nocona -O3 -fomit-frame-pointer	ref
gcc-4.8 -march=nocona -O -fomit-frame-pointer	ref

Test failure

Implementation: crypto_sign/mqqsig192/ref
Compiler: clang -O3 -fwrapv -march=x86-64 -mcpu=core-avx2 -mavx2 -maes -mpclmul -fomit-frame-pointer

error 111

Number of similar (compiler,implementation) pairs: 8, namely:

Compiler	Implementations
clang -O3 -fwrapv -march=x86-64 -mcpu=core-avx2 -mavx2 -maes -mpclmul -fomit-frame-pointer	ref
clang -O3 -fwrapv -mavx2 -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=core-avx2 -O2 -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=core-avx2 -O -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=core-avx2 -Os -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=core-avx2 -O2 -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=core-avx2 -O -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=core-avx2 -Os -fomit-frame-pointer	ref

Test failure

Implementation: crypto_sign/mqqsig192/ref
Compiler: gcc-4.7 -m64 -march=barcelona -O2 -fomit-frame-pointer

error 111
crypto_sign_open does not handle c=t overlap
error 111
crypto_sign_open does not handle c=t overlap

Number of similar (compiler,implementation) pairs: 6, namely:

Compiler	Implementations
gcc-4.7 -m64 -march=barcelona -O2 -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=barcelona -O3 -fomit-frame-pointer	ref
gcc-4.7 -m64 -march=barcelona -O -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=barcelona -O2 -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=barcelona -O3 -fomit-frame-pointer	ref
gcc-4.8 -m64 -march=barcelona -O -fomit-frame-pointer	ref

Compiler output

Implementation: crypto_sign/mqqsig192/ref
Compiler: clang -O3 -fwrapv -march=native -fpolly -funroll-loops -fvectorize -fslp-vectorize -fslp-vectorize-aggressive -fomit-frame-pointer

keygen.c: clang-3.3: warning: argument unused during compilation: '-fpolly'
mqq-sign.c: clang-3.3: warning: argument unused during compilation: '-fpolly'
mqq-verify.c: clang-3.3: warning: argument unused during compilation: '-fpolly'

Number of similar (compiler,implementation) pairs: 3, namely:

Compiler	Implementations
clang -O3 -fwrapv -march=native -fpolly -funroll-loops -fvectorize -fslp-vectorize -fslp-vectorize-aggressive -fomit-frame-pointer	ref
clang -O3 -fwrapv -mavx -fpolly -funroll-loops -fvectorize -fslp-vectorize -fslp-vectorize-aggressive -fomit-frame-pointer	ref
clang -O3 -fwrapv -mavx -maes -mpclmul -fpolly -funroll-loops -fvectorize -fslp-vectorize -fslp-vectorize-aggressive -fomit-frame-pointer	ref

Compiler output

Implementation: crypto_sign/mqqsig192/ref
Compiler: clang -O3 -fwrapv -march=x86-64 -mcpu=core-avx2 -mavx2 -maes -mpclmul -fomit-frame-pointer

keygen.c: clang-3.3: warning: argument unused during compilation: '-mcpu=core-avx2'
mqq-sign.c: clang-3.3: warning: argument unused during compilation: '-mcpu=core-avx2'
mqq-verify.c: clang-3.3: warning: argument unused during compilation: '-mcpu=core-avx2'

Number of similar (compiler,implementation) pairs: 1, namely:

Compiler	Implementations
clang -O3 -fwrapv -march=x86-64 -mcpu=core-avx2 -mavx2 -maes -mpclmul -fomit-frame-pointer	ref