Implementation notes: amd64, mangetsu, crypto_sign/mqqsig256

Computer: mangetsu
Architecture: amd64
CPU ID: GenuineIntel-000206a7-bfebfbff
SUPERCOP version: 20141014
Operation: crypto_sign
Primitive: mqqsig256

Time	Implementation	Compiler	Benchmark date	SUPERCOP version
154748	`ref`	`gcc-4.7 -m64 -march=core2 -Os -fomit-frame-pointer`	20140927	20140907
155152	`ref`	`gcc-4.8 -m64 -march=core2 -msse4 -Os -fomit-frame-pointer`	20140927	20140907
155272	`ref`	`gcc-4.8 -m64 -march=corei7 -Os -fomit-frame-pointer`	20140927	20140907
155556	`ref`	`gcc-4.8 -m64 -march=core2 -msse4.1 -Os -fomit-frame-pointer`	20140927	20140907
155620	`ref`	`gcc-4.7 -m64 -march=core2 -msse4.1 -Os -fomit-frame-pointer`	20140927	20140907
155624	`ref`	`gcc-4.7 -m64 -march=core2 -msse4 -Os -fomit-frame-pointer`	20140927	20140907
156080	`ref`	`gcc-4.7 -m64 -march=corei7 -Os -fomit-frame-pointer`	20140927	20140907
156528	`ref`	`gcc-4.8 -m64 -march=core2 -Os -fomit-frame-pointer`	20140927	20140907
157160	`ref`	`gcc-4.7 -m64 -march=native -mtune=native -Os -fomit-frame-pointer`	20140927	20140907
157712	`ref`	`gcc-4.8 -m64 -march=corei7-avx -Os -fomit-frame-pointer`	20140927	20140907
158124	`ref`	`gcc-4.8 -m64 -march=native -mtune=native -Os -fomit-frame-pointer`	20140927	20140907
158144	`ref`	`gcc-4.8 -m64 -march=core-avx-i -Os -fomit-frame-pointer`	20140927	20140907
161036	`ref`	`gcc-4.7 -m64 -march=core-avx-i -Os -fomit-frame-pointer`	20140927	20140907
161200	`ref`	`gcc-4.7 -m64 -march=corei7-avx -Os -fomit-frame-pointer`	20140927	20140907
683576	`ref`	`gcc-4.8 -m64 -march=barcelona -Os -fomit-frame-pointer`	20140927	20140907
684884	`ref`	`gcc-4.8 -m64 -march=k8 -Os -fomit-frame-pointer`	20140927	20140907
685812	`ref`	`gcc-4.8 -m64 -march=nocona -Os -fomit-frame-pointer`	20140927	20140907
685892	`ref`	`gcc-4.8 -march=barcelona -Os -fomit-frame-pointer`	20140927	20140907
686264	`ref`	`gcc-4.8 -march=k8 -Os -fomit-frame-pointer`	20140927	20140907
686548	`ref`	`gcc-4.8 -fno-schedule-insns -Os -fomit-frame-pointer`	20140927	20140907
687300	`ref`	`gcc-4.8 -march=nocona -Os -fomit-frame-pointer`	20140927	20140907
688764	`ref`	`gcc-4.8 -Os -fomit-frame-pointer`	20140927	20140907
692468	`ref`	`gcc-4.8 -m64 -Os -fomit-frame-pointer`	20140927	20140907
716096	`ref`	`gcc-4.8 -funroll-loops -m64 -march=nocona -Os -fomit-frame-pointer`	20140927	20140907
716960	`ref`	`gcc-4.8 -funroll-loops -march=nocona -Os -fomit-frame-pointer`	20140927	20140907
728016	`ref`	`gcc-4.7 -funroll-loops -m64 -march=nocona -Os -fomit-frame-pointer`	20140927	20140907
728040	`ref`	`gcc-4.7 -funroll-loops -fno-schedule-insns -Os -fomit-frame-pointer`	20140927	20140907
728700	`ref`	`gcc-4.7 -funroll-loops -march=nocona -Os -fomit-frame-pointer`	20140927	20140907
728768	`ref`	`gcc-4.7 -funroll-loops -m64 -march=k8 -Os -fomit-frame-pointer`	20140927	20140907
728816	`ref`	`gcc-4.7 -funroll-loops -Os -fomit-frame-pointer`	20140927	20140907
729056	`ref`	`gcc-4.7 -funroll-loops -march=k8 -Os -fomit-frame-pointer`	20140927	20140907
729888	`ref`	`gcc-4.7 -funroll-loops -march=barcelona -Os -fomit-frame-pointer`	20140927	20140907
729944	`ref`	`gcc-4.7 -funroll-loops -m64 -Os -fomit-frame-pointer`	20140927	20140907
730540	`ref`	`gcc-4.7 -funroll-loops -m64 -march=barcelona -Os -fomit-frame-pointer`	20140927	20140907
781116	`ref`	`gcc-4.7 -march=barcelona -Os -fomit-frame-pointer`	20140927	20140907
781544	`ref`	`gcc-4.7 -Os -fomit-frame-pointer`	20140927	20140907
785616	`ref`	`gcc-4.7 -march=k8 -Os -fomit-frame-pointer`	20140927	20140907
786856	`ref`	`gcc-4.7 -fno-schedule-insns -Os -fomit-frame-pointer`	20140927	20140907
786904	`ref`	`gcc-4.7 -m64 -march=nocona -Os -fomit-frame-pointer`	20140927	20140907
786996	`ref`	`gcc-4.7 -m64 -march=k8 -Os -fomit-frame-pointer`	20140927	20140907
787460	`ref`	`gcc-4.7 -m64 -march=barcelona -Os -fomit-frame-pointer`	20140927	20140907
787660	`ref`	`gcc-4.7 -march=nocona -Os -fomit-frame-pointer`	20140927	20140907
788816	`ref`	`gcc-4.7 -m64 -Os -fomit-frame-pointer`	20140927	20140907
852092	`ref`	`gcc-4.8 -funroll-loops -Os -fomit-frame-pointer`	20140927	20140907
852536	`ref`	`gcc-4.8 -funroll-loops -m64 -march=k8 -Os -fomit-frame-pointer`	20140927	20140907
854740	`ref`	`gcc-4.8 -funroll-loops -m64 -march=barcelona -Os -fomit-frame-pointer`	20140927	20140907
854768	`ref`	`gcc-4.8 -funroll-loops -m64 -Os -fomit-frame-pointer`	20140927	20140907
855472	`ref`	`gcc-4.8 -funroll-loops -march=k8 -Os -fomit-frame-pointer`	20140927	20140907
857104	`ref`	`gcc-4.8 -funroll-loops -march=barcelona -Os -fomit-frame-pointer`	20140927	20140907
857784	`ref`	`gcc-4.8 -funroll-loops -fno-schedule-insns -Os -fomit-frame-pointer`	20140927	20140907

Test failure

Implementation: crypto_sign/mqqsig256/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/mqqsig256/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/mqqsig256/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/mqqsig256/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/mqqsig256/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