Implementation notes: amd64, pmnod003, crypto_kem/titaniumccasuper

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

Time	Object size	Test size	Implementation	Compiler	Benchmark date	SUPERCOP version
4233446	149323 0 0	289609 848 1672	`avx2`	`gcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
4283748	162936 0 0	304883 888 1608	`avx2`	`icc_-xSSE4.1_-O2_-fomit-frame-pointer`	20190913	20190910
4291864	162776 0 0	304567 888 1608	`avx2`	`icc_-xSSE4.2_-O2_-fomit-frame-pointer`	20190913	20190910
4345024	146326 0 0	284065 848 1672	`avx2`	`gcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
4345338	165016 0 0	308580 880 1640	`avx2`	`icc_-xCORE-AVX512_-O3_-fomit-frame-pointer`	20190913	20190910
4388736	164656 0 0	307705 888 1608	`avx2`	`icc_-xCORE-AVX2_-O3_-fomit-frame-pointer`	20190913	20190910
4422790	163304 0 0	305199 888 1608	`avx2`	`icc_-xSSE4.2_-O3_-fomit-frame-pointer`	20190913	20190910
4443790	163464 0 0	305451 888 1608	`avx2`	`icc_-xSSE4.1_-O3_-fomit-frame-pointer`	20190913	20190910
4511314	146126 0 0	283769 848 1672	`avx2`	`gcc_-march=native_-mtune=native_-O_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
4574270	165696 0 0	308831 888 1608	`avx2`	`icc_-xAVX_-O2_-fomit-frame-pointer`	20190913	20190910
4579696	165696 0 0	308831 888 1608	`avx2`	`icc_-xCORE-AVX-I_-O2_-fomit-frame-pointer`	20190913	20190910
4591062	164448 0 0	307830 896 1640	`avx2`	`icc_-xCOMMON-AVX512_-O3_-fomit-frame-pointer`	20190913	20190910
4753518	166248 0 0	309383 888 1608	`avx2`	`icc_-xAVX_-O3_-fomit-frame-pointer`	20190913	20190910
4797948	166248 0 0	309383 888 1608	`avx2`	`icc_-xCORE-AVX-I_-O3_-fomit-frame-pointer`	20190913	20190910
5428458	164080 0 0	307777 888 1640	`avx2`	`icc_-xCORE-AVX512_-O2_-fomit-frame-pointer`	20190913	20190910
5451940	163688 0 0	307153 888 1608	`avx2`	`icc_-xCORE-AVX2_-O2_-fomit-frame-pointer`	20190913	20190910
5952552	163384 0 0	307475 904 1640	`avx2`	`icc_-xCOMMON-AVX512_-O2_-fomit-frame-pointer`	20190913	20190910
6725250	94569 0 0	234697 848 1672	`opt`	`gcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
7107058	81737 0 0	219681 848 1672	`opt`	`gcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
7648868	81621 0 0	219425 848 1672	`opt`	`gcc_-march=native_-mtune=native_-O_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
8393404	98512 0 0	242324 896 1640	`opt`	`icc_-xCORE-AVX512_-O2_-fomit-frame-pointer`	20190913	20190910
8488436	103760 0 0	246785 888 1608	`opt`	`icc_-xCORE-AVX2_-O3_-fomit-frame-pointer`	20190913	20190910
8507856	101136 0 0	244868 896 1640	`opt`	`icc_-xCORE-AVX512_-O3_-fomit-frame-pointer`	20190913	20190910
8612504	99360 0 0	242833 888 1608	`opt`	`icc_-xCORE-AVX2_-O2_-fomit-frame-pointer`	20190913	20190910
8613996	94528 0 0	237655 888 1608	`opt`	`icc_-xCORE-AVX-I_-O2_-fomit-frame-pointer`	20190913	20190910
8656996	94528 0 0	237655 888 1608	`opt`	`icc_-xAVX_-O2_-fomit-frame-pointer`	20190913	20190910
8699870	94856 0 0	236703 888 1608	`opt`	`icc_-xSSE4.2_-O2_-fomit-frame-pointer`	20190913	20190910
8753568	95144 0 0	237083 888 1608	`opt`	`icc_-xSSE4.1_-O2_-fomit-frame-pointer`	20190913	20190910
8954958	112264 0 0	256186 896 1640	`opt`	`icc_-xCOMMON-AVX512_-O2_-fomit-frame-pointer`	20190913	20190910
9000360	113640 0 0	256986 896 1640	`opt`	`icc_-xCOMMON-AVX512_-O3_-fomit-frame-pointer`	20190913	20190910
9039918	101368 0 0	243427 888 1608	`opt`	`icc_-xSSE4.1_-O3_-fomit-frame-pointer`	20190913	20190910
9079698	101096 0 0	242983 888 1608	`opt`	`icc_-xSSE4.2_-O3_-fomit-frame-pointer`	20190913	20190910
9090108	100208 0 0	243351 888 1608	`opt`	`icc_-xCORE-AVX-I_-O3_-fomit-frame-pointer`	20190913	20190910
9095676	100208 0 0	243351 888 1608	`opt`	`icc_-xAVX_-O3_-fomit-frame-pointer`	20190913	20190910
962542756	75120 0 0	218874 896 1640	`ref`	`icc_-xCOMMON-AVX512_-O2_-fomit-frame-pointer`	20190913	20190910
1096786288	77656 0 0	220882 896 1640	`ref`	`icc_-xCOMMON-AVX512_-O3_-fomit-frame-pointer`	20190913	20190910
1129890556	65988 0 0	206185 848 1672	`ref`	`gcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
1140642860	54990 0 0	192801 848 1672	`ref`	`gcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
1306425618	55111 0 0	192793 848 1672	`ref`	`gcc_-march=native_-mtune=native_-O_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20190913	20190910
2537985120	68096 0 0	210003 888 1608	`ref`	`icc_-xSSE4.1_-O3_-fomit-frame-pointer`	20190913	20190910
2541358906	68368 0 0	210135 888 1608	`ref`	`icc_-xSSE4.2_-O3_-fomit-frame-pointer`	20190913	20190910
2544324124	67600 0 0	210655 888 1608	`ref`	`icc_-xCORE-AVX-I_-O3_-fomit-frame-pointer`	20190913	20190910
2544663400	67600 0 0	210655 888 1608	`ref`	`icc_-xAVX_-O3_-fomit-frame-pointer`	20190913	20190910
2759941878	68392 0 0	212068 896 1640	`ref`	`icc_-xCORE-AVX512_-O2_-fomit-frame-pointer`	20190913	20190910
2761617900	69080 0 0	212401 888 1608	`ref`	`icc_-xCORE-AVX2_-O2_-fomit-frame-pointer`	20190913	20190910
2897776732	74544 0 0	217417 888 1608	`ref`	`icc_-xCORE-AVX2_-O3_-fomit-frame-pointer`	20190913	20190910
2952133278	70552 0 0	214116 896 1640	`ref`	`icc_-xCORE-AVX512_-O3_-fomit-frame-pointer`	20190913	20190910
3324220754	64128 0 0	205839 888 1608	`ref`	`icc_-xSSE4.2_-O2_-fomit-frame-pointer`	20190913	20190910
3332808860	63920 0 0	206879 888 1608	`ref`	`icc_-xCORE-AVX-I_-O2_-fomit-frame-pointer`	20190913	20190910
3348073638	63888 0 0	205707 888 1608	`ref`	`icc_-xSSE4.1_-O2_-fomit-frame-pointer`	20190913	20190910
3363115514	63920 0 0	206879 888 1608	`ref`	`icc_-xAVX_-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(67): 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:67:6: warning: assignment discards 'const' qualifier from pointer target type [-Wdiscarded-qualifiers]
pack.c: 67 | 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_titaniumccasuper.a(encrypt.o): in function `crypto_encrypt_keypair':
try.c: 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_titaniumccasuper.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_titaniumccasuper.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 `montgomery'
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 `montgomery'
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_titaniumccasuper.a(ntt.o): in function `ntt_core':
try.c: ntt.c:(.text+0x...): undefined reference to `montgomery'
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_titaniumccasuper.a(ntt.o): in function `intt_core':
try.c: ntt.c:(.text+0x...): undefined reference to `montgomery'
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 `montgomery'
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_titaniumccasuper.a(ntt.o): in function `ntt_butterfly_2048_3328':
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_titaniumccasuper.a(ntt.o): in function `ntt_butterfly_3328_1280':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_32q'
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