Implementation notes: amd64, pmnod003, crypto_kem/titaniumccastd

Computer: pmnod003
Architecture: amd64
CPU ID: GenuineIntel-00050654-bfebfbff
SUPERCOP version: 20190910
Operation: crypto_kem
Primitive: titaniumccastd

Time	Object size	Test size	Implementation	Compiler	Benchmark date	SUPERCOP version
2338526	87779 0 0	228001 848 1672	`avx2`	`gcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
2373102	96920 0 0	238743 888 1608	`avx2`	`icc_-xSSE4.2_-O2_-fomit-frame-pointer`	20190913	20190910
2373134	97080 0 0	239059 888 1608	`avx2`	`icc_-xSSE4.1_-O2_-fomit-frame-pointer`	20190913	20190910
2398444	85446 0 0	223137 848 1672	`avx2`	`gcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
2404384	98256 0 0	241772 880 1640	`avx2`	`icc_-xCORE-AVX512_-O3_-fomit-frame-pointer`	20190913	20190910
2428648	98536 0 0	241601 888 1608	`avx2`	`icc_-xCORE-AVX2_-O3_-fomit-frame-pointer`	20190913	20190910
2448868	97456 0 0	239475 888 1608	`avx2`	`icc_-xSSE4.1_-O3_-fomit-frame-pointer`	20190913	20190910
2460778	97312 0 0	239223 888 1608	`avx2`	`icc_-xSSE4.2_-O3_-fomit-frame-pointer`	20190913	20190910
2498174	85188 0 0	222777 848 1672	`avx2`	`gcc_-march=native_-mtune=native_-O_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
2525686	99200 0 0	242303 888 1608	`avx2`	`icc_-xAVX_-O2_-fomit-frame-pointer`	20190913	20190910
2530614	99200 0 0	242303 888 1608	`avx2`	`icc_-xCORE-AVX-I_-O2_-fomit-frame-pointer`	20190913	20190910
2621766	98328 0 0	241662 896 1640	`avx2`	`icc_-xCOMMON-AVX512_-O3_-fomit-frame-pointer`	20190913	20190910
2643986	99648 0 0	242831 888 1608	`avx2`	`icc_-xCORE-AVX-I_-O3_-fomit-frame-pointer`	20190913	20190910
2656320	99648 0 0	242831 888 1608	`avx2`	`icc_-xAVX_-O3_-fomit-frame-pointer`	20190913	20190910
3149890	97752 0 0	241201 888 1608	`avx2`	`icc_-xCORE-AVX2_-O2_-fomit-frame-pointer`	20190913	20190910
3167598	97472 0 0	241185 888 1640	`avx2`	`icc_-xCORE-AVX512_-O2_-fomit-frame-pointer`	20190913	20190910
3381460	74312 0 0	214433 848 1672	`opt`	`gcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
3394414	97432 0 0	241459 904 1640	`avx2`	`icc_-xCOMMON-AVX512_-O2_-fomit-frame-pointer`	20190913	20190910
3530992	50108 0 0	188025 848 1672	`opt`	`gcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
3557886	64688 0 0	208431 888 1640	`opt`	`icc_-xCORE-AVX512_-O2_-fomit-frame-pointer`	20190913	20190910
3578286	67256 0 0	210871 888 1640	`opt`	`icc_-xCORE-AVX512_-O3_-fomit-frame-pointer`	20190913	20190910
3728134	65720 0 0	209124 880 1608	`opt`	`icc_-xCORE-AVX2_-O2_-fomit-frame-pointer`	20190913	20190910
3728636	70016 0 0	212972 880 1608	`opt`	`icc_-xCORE-AVX2_-O3_-fomit-frame-pointer`	20190913	20190910
3750312	61344 0 0	203143 888 1608	`opt`	`icc_-xSSE4.2_-O2_-fomit-frame-pointer`	20190913	20190910
3753188	49975 0 0	187785 848 1672	`opt`	`gcc_-march=native_-mtune=native_-O_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
3762440	61616 0 0	203523 888 1608	`opt`	`icc_-xSSE4.1_-O2_-fomit-frame-pointer`	20190913	20190910
3802068	60984 0 0	204095 888 1608	`opt`	`icc_-xAVX_-O2_-fomit-frame-pointer`	20190913	20190910
3804854	60984 0 0	204095 888 1608	`opt`	`icc_-xCORE-AVX-I_-O2_-fomit-frame-pointer`	20190913	20190910
3859048	66600 0 0	209727 888 1608	`opt`	`icc_-xAVX_-O3_-fomit-frame-pointer`	20190913	20190910
3859642	66600 0 0	209727 888 1608	`opt`	`icc_-xCORE-AVX-I_-O3_-fomit-frame-pointer`	20190913	20190910
3874184	67712 0 0	209739 888 1608	`opt`	`icc_-xSSE4.1_-O3_-fomit-frame-pointer`	20190913	20190910
3875486	67472 0 0	209359 888 1608	`opt`	`icc_-xSSE4.2_-O3_-fomit-frame-pointer`	20190913	20190910
3927038	75608 0 0	219445 888 1640	`opt`	`icc_-xCOMMON-AVX512_-O2_-fomit-frame-pointer`	20190913	20190910
3984338	76912 0 0	220221 888 1640	`opt`	`icc_-xCOMMON-AVX512_-O3_-fomit-frame-pointer`	20190913	20190910
322349532	49584 0 0	193338 896 1640	`ref`	`icc_-xCOMMON-AVX512_-O2_-fomit-frame-pointer`	20190913	20190910
377238688	52048 0 0	195258 896 1640	`ref`	`icc_-xCOMMON-AVX512_-O3_-fomit-frame-pointer`	20190913	20190910
377582856	46991 0 0	187273 848 1672	`ref`	`gcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
381221102	32488 0 0	170313 848 1672	`ref`	`gcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
440482666	32625 0 0	170265 848 1672	`ref`	`gcc_-march=native_-mtune=native_-O_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
846953126	44504 0 0	186395 888 1608	`ref`	`icc_-xSSE4.1_-O3_-fomit-frame-pointer`	20190913	20190910
847910602	43744 0 0	186751 888 1608	`ref`	`icc_-xAVX_-O3_-fomit-frame-pointer`	20190913	20190910
848234678	43744 0 0	186751 888 1608	`ref`	`icc_-xCORE-AVX-I_-O3_-fomit-frame-pointer`	20190913	20190910
848466088	44792 0 0	186527 888 1608	`ref`	`icc_-xSSE4.2_-O3_-fomit-frame-pointer`	20190913	20190910
914551692	44632 0 0	188308 896 1640	`ref`	`icc_-xCORE-AVX512_-O2_-fomit-frame-pointer`	20190913	20190910
916341584	45304 0 0	188593 888 1608	`ref`	`icc_-xCORE-AVX2_-O2_-fomit-frame-pointer`	20190913	20190910
960607486	47040 0 0	190604 896 1640	`ref`	`icc_-xCORE-AVX512_-O3_-fomit-frame-pointer`	20190913	20190910
961355576	50928 0 0	193801 888 1608	`ref`	`icc_-xCORE-AVX2_-O3_-fomit-frame-pointer`	20190913	20190910
1111991908	40048 0 0	183039 888 1608	`ref`	`icc_-xCORE-AVX-I_-O2_-fomit-frame-pointer`	20190913	20190910
1114233052	40048 0 0	183039 888 1608	`ref`	`icc_-xAVX_-O2_-fomit-frame-pointer`	20190913	20190910
1117603940	40568 0 0	182231 888 1608	`ref`	`icc_-xSSE4.2_-O2_-fomit-frame-pointer`	20190913	20190910
1117908344	40312 0 0	182099 888 1608	`ref`	`icc_-xSSE4.1_-O2_-fomit-frame-pointer`	20190913	20190910

Compiler output

Implementation: avx2
Security model: unknown
Compiler: gcc -march=native -mtune=native -O2 -fomit-frame-pointer -fwrapv -fPIC -fPIE

Number of similar (compiler,implementation) pairs: 9, namely:

Compiler	Implementations
gcc -march=native -mtune=native -O2 -fomit-frame-pointer -fwrapv -fPIC -fPIE	avx2
gcc -march=native -mtune=native -O3 -fomit-frame-pointer -fwrapv -fPIC -fPIE	avx2
gcc -march=native -mtune=native -O -fomit-frame-pointer -fwrapv -fPIC -fPIE	avx2
gcc -march=native -mtune=native -O2 -fomit-frame-pointer -fwrapv -fPIC -fPIE	opt
gcc -march=native -mtune=native -O3 -fomit-frame-pointer -fwrapv -fPIC -fPIE	opt
gcc -march=native -mtune=native -O -fomit-frame-pointer -fwrapv -fPIC -fPIE	opt
gcc -march=native -mtune=native -O2 -fomit-frame-pointer -fwrapv -fPIC -fPIE	ref
gcc -march=native -mtune=native -O3 -fomit-frame-pointer -fwrapv -fPIC -fPIE	ref
gcc -march=native -mtune=native -O -fomit-frame-pointer -fwrapv -fPIC -fPIE	ref

Compiler output

Implementation: avx2
Security model: unknown
Compiler: gcc -march=native -mtune=native -Os -fomit-frame-pointer -fwrapv -fPIC -fPIE

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

Compiler	Implementations
gcc -march=native -mtune=native -Os -fomit-frame-pointer -fwrapv -fPIC -fPIE	avx2

Compiler output

Implementation: avx2
Security model: unknown
Compiler: icc -xAVX -O2 -fomit-frame-pointer

pack.c: pack.c(63): warning #2332: a value of type "const unsigned char *" cannot be assigned to an entity of type "unsigned char *" (dropping qualifiers)
pack.c: bb = b + (i / 8) * Q_BITS;
pack.c: ^
pack.c:

Number of similar (compiler,implementation) pairs: 42, namely:

Compiler	Implementations
icc -xAVX -O2 -fomit-frame-pointer	avx2
icc -xAVX -O3 -fomit-frame-pointer	avx2
icc -xCOMMON-AVX512 -O2 -fomit-frame-pointer	avx2
icc -xCOMMON-AVX512 -O3 -fomit-frame-pointer	avx2
icc -xCORE-AVX-I -O2 -fomit-frame-pointer	avx2
icc -xCORE-AVX-I -O3 -fomit-frame-pointer	avx2
icc -xCORE-AVX2 -O2 -fomit-frame-pointer	avx2
icc -xCORE-AVX2 -O3 -fomit-frame-pointer	avx2
icc -xCORE-AVX512 -O2 -fomit-frame-pointer	avx2
icc -xCORE-AVX512 -O3 -fomit-frame-pointer	avx2
icc -xSSE4.1 -O2 -fomit-frame-pointer	avx2
icc -xSSE4.1 -O3 -fomit-frame-pointer	avx2
icc -xSSE4.2 -O2 -fomit-frame-pointer	avx2
icc -xSSE4.2 -O3 -fomit-frame-pointer	avx2
icc -xAVX -O2 -fomit-frame-pointer	opt
icc -xAVX -O3 -fomit-frame-pointer	opt
icc -xCOMMON-AVX512 -O2 -fomit-frame-pointer	opt
icc -xCOMMON-AVX512 -O3 -fomit-frame-pointer	opt
icc -xCORE-AVX-I -O2 -fomit-frame-pointer	opt
icc -xCORE-AVX-I -O3 -fomit-frame-pointer	opt
icc -xCORE-AVX2 -O2 -fomit-frame-pointer	opt
icc -xCORE-AVX2 -O3 -fomit-frame-pointer	opt
icc -xCORE-AVX512 -O2 -fomit-frame-pointer	opt
icc -xCORE-AVX512 -O3 -fomit-frame-pointer	opt
icc -xSSE4.1 -O2 -fomit-frame-pointer	opt
icc -xSSE4.1 -O3 -fomit-frame-pointer	opt
icc -xSSE4.2 -O2 -fomit-frame-pointer	opt
icc -xSSE4.2 -O3 -fomit-frame-pointer	opt
icc -xAVX -O2 -fomit-frame-pointer	ref
icc -xAVX -O3 -fomit-frame-pointer	ref
icc -xCOMMON-AVX512 -O2 -fomit-frame-pointer	ref
icc -xCOMMON-AVX512 -O3 -fomit-frame-pointer	ref
icc -xCORE-AVX-I -O2 -fomit-frame-pointer	ref
icc -xCORE-AVX-I -O3 -fomit-frame-pointer	ref
icc -xCORE-AVX2 -O2 -fomit-frame-pointer	ref
icc -xCORE-AVX2 -O3 -fomit-frame-pointer	ref
icc -xCORE-AVX512 -O2 -fomit-frame-pointer	ref
icc -xCORE-AVX512 -O3 -fomit-frame-pointer	ref
icc -xSSE4.1 -O2 -fomit-frame-pointer	ref
icc -xSSE4.1 -O3 -fomit-frame-pointer	ref
icc -xSSE4.2 -O2 -fomit-frame-pointer	ref
icc -xSSE4.2 -O3 -fomit-frame-pointer	ref

Compiler output

Implementation: opt
Security model: unknown
Compiler: gcc -march=native -mtune=native -Os -fomit-frame-pointer -fwrapv -fPIC -fPIE

pack.c: pack.c: In function 'poly_decode':
pack.c: pack.c:63:6: warning: assignment discards 'const' qualifier from pointer target type [-Wdiscarded-qualifiers]
pack.c: 63 | bb = b + (i / 8) * Q_BITS;
pack.c: | ^
try.c: /software/compilers/gcc/gcc-9.2.0-full+isl+binutils/lib/gcc/x86_64-pc-linux-gnu/9.2.0/../../../../x86_64-pc-linux-gnu/bin/ld: crypto_kem_titaniumccastd.a(encrypt.o): in function `crypto_encrypt_keypair':
try.c: encrypt.c:(.text+0x...): undefined reference to `barrett_4q2'
try.c: /software/compilers/gcc/gcc-9.2.0-full+isl+binutils/lib/gcc/x86_64-pc-linux-gnu/9.2.0/../../../../x86_64-pc-linux-gnu/bin/ld: encrypt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /software/compilers/gcc/gcc-9.2.0-full+isl+binutils/lib/gcc/x86_64-pc-linux-gnu/9.2.0/../../../../x86_64-pc-linux-gnu/bin/ld: crypto_kem_titaniumccastd.a(encrypt.o): in function `crypto_encrypt':
try.c: encrypt.c:(.text+0x...): undefined reference to `barrett_4q2'
try.c: /software/compilers/gcc/gcc-9.2.0-full+isl+binutils/lib/gcc/x86_64-pc-linux-gnu/9.2.0/../../../../x86_64-pc-linux-gnu/bin/ld: encrypt.c:(.text+0x...): undefined reference to `barrett_4q2'
try.c: /software/compilers/gcc/gcc-9.2.0-full+isl+binutils/lib/gcc/x86_64-pc-linux-gnu/9.2.0/../../../../x86_64-pc-linux-gnu/bin/ld: crypto_kem_titaniumccastd.a(encrypt.o): in function `crypto_encrypt_open':
try.c: encrypt.c:(.text+0x...): undefined reference to `barrett_4q2'
try.c: /software/compilers/gcc/gcc-9.2.0-full+isl+binutils/lib/gcc/x86_64-pc-linux-gnu/9.2.0/../../../../x86_64-pc-linux-gnu/bin/ld: crypto_kem_titaniumccastd.a(fastrandombytes.o): in function `fastrandombytes':
try.c: fastrandombytes.c:(.text+0x...): undefined reference to `load_32'
try.c: /software/compilers/gcc/gcc-9.2.0-full+isl+binutils/lib/gcc/x86_64-pc-linux-gnu/9.2.0/../../../../x86_64-pc-linux-gnu/bin/ld: fastrandombytes.c:(.text+0x...): undefined reference to `store_32'
try.c: /software/compilers/gcc/gcc-9.2.0-full+isl+binutils/lib/gcc/x86_64-pc-linux-gnu/9.2.0/../../../../x86_64-pc-linux-gnu/bin/ld: crypto_kem_titaniumccastd.a(ntt.o): in function `ntt_2':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /software/compilers/gcc/gcc-9.2.0-full+isl+binutils/lib/gcc/x86_64-pc-linux-gnu/9.2.0/../../../../x86_64-pc-linux-gnu/bin/ld: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /software/compilers/gcc/gcc-9.2.0-full+isl+binutils/lib/gcc/x86_64-pc-linux-gnu/9.2.0/../../../../x86_64-pc-linux-gnu/bin/ld: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /software/compilers/gcc/gcc-9.2.0-full+isl+binutils/lib/gcc/x86_64-pc-linux-gnu/9.2.0/../../../../x86_64-pc-linux-gnu/bin/ld: ntt.c:(.text+0x...): undefined reference to `barrett_4q2'
try.c: /software/compilers/gcc/gcc-9.2.0-full+isl+binutils/lib/gcc/x86_64-pc-linux-gnu/9.2.0/../../../../x86_64-pc-linux-gnu/bin/ld: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /software/compilers/gcc/gcc-9.2.0-full+isl+binutils/lib/gcc/x86_64-pc-linux-gnu/9.2.0/../../../../x86_64-pc-linux-gnu/bin/ld: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /software/compilers/gcc/gcc-9.2.0-full+isl+binutils/lib/gcc/x86_64-pc-linux-gnu/9.2.0/../../../../x86_64-pc-linux-gnu/bin/ld: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /software/compilers/gcc/gcc-9.2.0-full+isl+binutils/lib/gcc/x86_64-pc-linux-gnu/9.2.0/../../../../x86_64-pc-linux-gnu/bin/ld: ntt.c:(.text+0x...): undefined reference to `barrett_4q2'
try.c: /software/compilers/gcc/gcc-9.2.0-full+isl+binutils/lib/gcc/x86_64-pc-linux-gnu/9.2.0/../../../../x86_64-pc-linux-gnu/bin/ld: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /software/compilers/gcc/gcc-9.2.0-full+isl+binutils/lib/gcc/x86_64-pc-linux-gnu/9.2.0/../../../../x86_64-pc-linux-gnu/bin/ld: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /software/compilers/gcc/gcc-9.2.0-full+isl+binutils/lib/gcc/x86_64-pc-linux-gnu/9.2.0/../../../../x86_64-pc-linux-gnu/bin/ld: crypto_kem_titaniumccastd.a(ntt.o): in function `ntt_core':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_2q2'
try.c: /software/compilers/gcc/gcc-9.2.0-full+isl+binutils/lib/gcc/x86_64-pc-linux-gnu/9.2.0/../../../../x86_64-pc-linux-gnu/bin/ld: crypto_kem_titaniumccastd.a(ntt.o): in function `intt_core':
try.c: ...

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

Compiler	Implementations
gcc -march=native -mtune=native -Os -fomit-frame-pointer -fwrapv -fPIC -fPIE	opt

Compiler output

Implementation: ref
Security model: unknown
Compiler: gcc -march=native -mtune=native -Os -fomit-frame-pointer -fwrapv -fPIC -fPIE

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

Compiler	Implementations
gcc -march=native -mtune=native -Os -fomit-frame-pointer -fwrapv -fPIC -fPIE	ref