Implementation notes: amd64, pmnod003, crypto_kem/titaniumccatoy

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

Time	Object size	Test size	Implementation	Compiler	Benchmark date	SUPERCOP version
1538874	59038 0 0	199225 848 1672	`avx2`	`gcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
1575182	62024 0 0	205556 880 1640	`avx2`	`icc_-xCORE-AVX512_-O3_-fomit-frame-pointer`	20190913	20190910
1584138	61664 0 0	203519 888 1608	`avx2`	`icc_-xSSE4.2_-O2_-fomit-frame-pointer`	20190913	20190910
1586150	59184 0 0	196873 848 1672	`avx2`	`gcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
1595204	62896 0 0	205961 888 1608	`avx2`	`icc_-xCORE-AVX2_-O3_-fomit-frame-pointer`	20190913	20190910
1596428	61824 0 0	203771 888 1608	`avx2`	`icc_-xSSE4.1_-O2_-fomit-frame-pointer`	20190913	20190910
1618336	61632 0 0	203511 888 1608	`avx2`	`icc_-xSSE4.2_-O3_-fomit-frame-pointer`	20190913	20190910
1621366	61776 0 0	203827 888 1608	`avx2`	`icc_-xSSE4.1_-O3_-fomit-frame-pointer`	20190913	20190910
1660856	59156 0 0	196681 848 1672	`avx2`	`gcc_-march=native_-mtune=native_-O_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
1684694	63112 0 0	206247 888 1608	`avx2`	`icc_-xAVX_-O2_-fomit-frame-pointer`	20190913	20190910
1690178	63112 0 0	206247 888 1608	`avx2`	`icc_-xCORE-AVX-I_-O2_-fomit-frame-pointer`	20190913	20190910
1717690	63032 0 0	206167 888 1608	`avx2`	`icc_-xCORE-AVX-I_-O3_-fomit-frame-pointer`	20190913	20190910
1717798	63032 0 0	206167 888 1608	`avx2`	`icc_-xAVX_-O3_-fomit-frame-pointer`	20190913	20190910
1738380	62656 0 0	206022 896 1640	`avx2`	`icc_-xCOMMON-AVX512_-O3_-fomit-frame-pointer`	20190913	20190910
2098914	61672 0 0	205385 888 1640	`avx2`	`icc_-xCORE-AVX512_-O2_-fomit-frame-pointer`	20190913	20190910
2101606	50591 0 0	190689 848 1672	`opt`	`gcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
2127124	62544 0 0	205977 888 1608	`avx2`	`icc_-xCORE-AVX2_-O2_-fomit-frame-pointer`	20190913	20190910
2295274	35171 0 0	173097 848 1672	`opt`	`gcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
2331290	48072 0 0	191823 888 1640	`opt`	`icc_-xCORE-AVX512_-O2_-fomit-frame-pointer`	20190913	20190910
2334470	50544 0 0	194167 888 1640	`opt`	`icc_-xCORE-AVX512_-O3_-fomit-frame-pointer`	20190913	20190910
2365976	62192 0 0	206235 904 1640	`avx2`	`icc_-xCOMMON-AVX512_-O2_-fomit-frame-pointer`	20190913	20190910
2385348	48712 0 0	192076 880 1608	`opt`	`icc_-xCORE-AVX2_-O2_-fomit-frame-pointer`	20190913	20190910
2404222	53024 0 0	195956 880 1608	`opt`	`icc_-xCORE-AVX2_-O3_-fomit-frame-pointer`	20190913	20190910
2414530	44240 0 0	186015 888 1608	`opt`	`icc_-xSSE4.2_-O2_-fomit-frame-pointer`	20190913	20190910
2421982	44496 0 0	186395 888 1608	`opt`	`icc_-xSSE4.1_-O2_-fomit-frame-pointer`	20190913	20190910
2442460	43808 0 0	186895 888 1608	`opt`	`icc_-xAVX_-O2_-fomit-frame-pointer`	20190913	20190910
2445494	43808 0 0	186895 888 1608	`opt`	`icc_-xCORE-AVX-I_-O2_-fomit-frame-pointer`	20190913	20190910
2454968	35259 0 0	173017 848 1672	`opt`	`gcc_-march=native_-mtune=native_-O_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
2493604	49464 0 0	192567 888 1608	`opt`	`icc_-xCORE-AVX-I_-O3_-fomit-frame-pointer`	20190913	20190910
2499854	49464 0 0	192567 888 1608	`opt`	`icc_-xAVX_-O3_-fomit-frame-pointer`	20190913	20190910
2499980	50368 0 0	192199 888 1608	`opt`	`icc_-xSSE4.2_-O3_-fomit-frame-pointer`	20190913	20190910
2502562	50592 0 0	192579 888 1608	`opt`	`icc_-xSSE4.1_-O3_-fomit-frame-pointer`	20190913	20190910
2548092	61464 0 0	204733 888 1640	`opt`	`icc_-xCOMMON-AVX512_-O3_-fomit-frame-pointer`	20190913	20190910
2566384	60240 0 0	204021 888 1640	`opt`	`icc_-xCOMMON-AVX512_-O2_-fomit-frame-pointer`	20190913	20190910
129142072	44448 0 0	188202 896 1640	`ref`	`icc_-xCOMMON-AVX512_-O2_-fomit-frame-pointer`	20190913	20190910
149548808	45896 0 0	189106 896 1640	`ref`	`icc_-xCOMMON-AVX512_-O3_-fomit-frame-pointer`	20190913	20190910
161669940	35732 0 0	175977 848 1672	`ref`	`gcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
163088510	24153 0 0	161953 848 1672	`ref`	`gcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
189912674	24306 0 0	161937 848 1672	`ref`	`gcc_-march=native_-mtune=native_-O_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
324008668	37840 0 0	179731 888 1608	`ref`	`icc_-xSSE4.1_-O3_-fomit-frame-pointer`	20190913	20190910
324030516	37144 0 0	180135 888 1608	`ref`	`icc_-xAVX_-O3_-fomit-frame-pointer`	20190913	20190910
324204954	37144 0 0	180135 888 1608	`ref`	`icc_-xCORE-AVX-I_-O3_-fomit-frame-pointer`	20190913	20190910
324271226	38144 0 0	179927 888 1608	`ref`	`icc_-xSSE4.2_-O3_-fomit-frame-pointer`	20190913	20190910
367214074	37440 0 0	180793 888 1608	`ref`	`icc_-xCORE-AVX2_-O2_-fomit-frame-pointer`	20190913	20190910
369869910	37232 0 0	180860 896 1640	`ref`	`icc_-xCORE-AVX512_-O2_-fomit-frame-pointer`	20190913	20190910
387028428	42856 0 0	185809 888 1608	`ref`	`icc_-xCORE-AVX2_-O3_-fomit-frame-pointer`	20190913	20190910
388568360	39440 0 0	183052 896 1640	`ref`	`icc_-xCORE-AVX512_-O3_-fomit-frame-pointer`	20190913	20190910
440159542	33664 0 0	175499 888 1608	`ref`	`icc_-xSSE4.1_-O2_-fomit-frame-pointer`	20190913	20190910
443790984	33904 0 0	175567 888 1608	`ref`	`icc_-xSSE4.2_-O2_-fomit-frame-pointer`	20190913	20190910
446242046	33432 0 0	176407 888 1608	`ref`	`icc_-xAVX_-O2_-fomit-frame-pointer`	20190913	20190910
446888490	33432 0 0	176407 888 1608	`ref`	`icc_-xCORE-AVX-I_-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(65): 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:65:6: warning: assignment discards 'const' qualifier from pointer target type [-Wdiscarded-qualifiers]
pack.c: 65 | 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_titaniumccatoy.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_titaniumccatoy.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_titaniumccatoy.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_titaniumccatoy.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_titaniumccatoy.a(ntt.o): in function `ntt_butterfly_768_1280':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_8q'
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_titaniumccatoy.a(ntt.o): in function `ntt_butterfly_1280_512':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_16q'
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_titaniumccatoy.a(ntt.o): in function `ntt_butterfly_768_1024':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_8q'
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_titaniumccatoy.a(ntt.o): in function `ntt_butterfly_1024_1024_inv':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_8q'
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_titaniumccatoy.a(ntt.o): in function `ntt_butterfly_512_512_inv':
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: crypto_kem_titaniumccatoy.a(ntt.o): in function `ntt_butterfly_512_256':
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: crypto_kem_titaniumccatoy.a(ntt.o): in function `ntt_butterfly_1024_1280':
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