Implementation notes: amd64, hertz, crypto_kem/titaniumccasuper

Computer: hertz
Microarchitecture: amd64; Zen 4 (a60f12)
Architecture: amd64
CPU ID: AuthenticAMD-00a60f12-178bfbff
SUPERCOP version: 20240716
Operation: crypto_kem
Primitive: titaniumccasuper

Time	Object size	Test size	Implementation	Compiler	Benchmark date	SUPERCOP version
3301810	155344 0 64	292211 828 1896	`T:avx2`	`gcc_-march=native_-mtune=native_-O3_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240717	20240716
3376840	151306 0 64	286275 828 1864	`T:avx2`	`gcc_-march=native_-mtune=native_-O2_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240717	20240716
3980993	230872 0 36	371616 852 1896	`T:avx2`	`clang_-march=native_-O3_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240717	20240716
4086588	144018 0 36	278842 844 1896	`T:avx2`	`clang_-march=native_-Os_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240717	20240716
4090850	222606 0 36	363200 852 1896	`T:avx2`	`clang_-march=native_-O2_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240717	20240716
6326420	445482 0 36	584128 852 1896	`T:opt`	`clang_-march=native_-O3_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240717	20240716
6327844	277165 0 36	417488 852 1896	`T:opt`	`clang_-march=native_-O2_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240717	20240716
6577930	119437 0 64	256371 828 1896	`T:opt`	`gcc_-march=native_-mtune=native_-O3_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240717	20240716
6851544	90236 0 64	225299 828 1864	`T:opt`	`gcc_-march=native_-mtune=native_-O2_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240717	20240716
7205504	86924 0 36	222194 844 1896	`T:opt`	`clang_-march=native_-Os_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240717	20240716
1059506907	83657 0 64	220555 828 1896	`T:ref`	`gcc_-march=native_-mtune=native_-O3_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240717	20240716
1060869469	62158 0 36	197306 844 1896	`T:ref`	`clang_-march=native_-Os_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240717	20240716
1062445103	57227 0 64	192027 828 1864	`T:ref`	`gcc_-march=native_-mtune=native_-O2_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240717	20240716
1070231143	154966 0 36	295176 852 1896	`T:ref`	`clang_-march=native_-O2_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240717	20240716
1071457895	229731 0 36	370056 852 1896	`T:ref`	`clang_-march=native_-O3_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240717	20240716
1481572976	55041 0 64	188275 820 1832	`T:ref`	`gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240717	20240716

Compiler output

try.c: /usr/bin/ld: libcrypto_kem_titaniumccasuper.a(sampler.o): in function `sampler_zq':
try.c: .../supercop-data/hertz/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/avx2/work/sampler.c:160:(.text+0x...): undefined reference to `barrett_zq'
try.c: collect2: error: ld returned 1 exit status

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

Implementation	Compiler
`T:avx2`	`gcc -march=native -mtune=native -Os -fwrapv -fPIC -fPIE -gdwarf-4 -Wall (13.2.0)`

Compiler output

try.c: /usr/bin/ld: libcrypto_kem_titaniumccasuper.a(encrypt.o): in function `crypto_encrypt_keypair':
try.c: .../supercop-data/hertz/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/encrypt.c:63:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccasuper.a(ntt.o): in function `ntt_2':
try.c: .../supercop-data/hertz/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:725:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: .../supercop-data/hertz/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:726:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: .../supercop-data/hertz/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:737:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: .../supercop-data/hertz/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:738:(.text+0x...): undefined reference to `montgomery'
try.c: /usr/bin/ld: .../supercop-data/hertz/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:756:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: .../supercop-data/hertz/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:757:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: .../supercop-data/hertz/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:762:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: .../supercop-data/hertz/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:763:(.text+0x...): undefined reference to `montgomery'
try.c: /usr/bin/ld: .../supercop-data/hertz/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:773:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: .../supercop-data/hertz/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:774:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccasuper.a(ntt.o): in function `ntt_core':
try.c: .../supercop-data/hertz/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:802:(.text+0x...): undefined reference to `montgomery'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccasuper.a(ntt.o): in function `intt_core':
try.c: .../supercop-data/hertz/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:830:(.text+0x...): undefined reference to `montgomery'
try.c: /usr/bin/ld: .../supercop-data/hertz/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:842:(.text+0x...): undefined reference to `montgomery'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccasuper.a(ntt.o): in function `ntt_butterfly_2048_3328':
try.c: .../supercop-data/hertz/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:860:(.text+0x...): undefined reference to `barrett_16q'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccasuper.a(ntt.o): in function `ntt_butterfly_3328_1280':
try.c: .../supercop-data/hertz/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:894:(.text+0x...): undefined reference to `barrett_32q'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccasuper.a(ntt.o): in function `ntt_butterfly_2048_3072':
try.c: .../supercop-data/hertz/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:916:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccasuper.a(ntt.o): in function `ntt_butterfly_3072_3072_inv':
try.c: ...

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

Implementation	Compiler
`T:opt`	`gcc -march=native -mtune=native -Os -fwrapv -fPIC -fPIE -gdwarf-4 -Wall (13.2.0)`

Namespace violations

encrypt.o crypto_encrypt T
encrypt.o crypto_encrypt_keypair T
encrypt.o crypto_encrypt_open T
fastrandombytes.o fastrandombytes T
fastrandombytes.o fastrandombytes_setseed T
fastrandombytes.o iv B
fastrandombytes.o key B
ntt.o intt_1280_256 T
ntt.o intt_3072_3072_inv T
ntt.o intt_3328_1280 T
ntt.o intt_3328_256 T
ntt.o ntt_1024_1280 T
ntt.o ntt_1024_3072 T
ntt.o ntt_1280_1280_inv T
ntt.o ntt_2048_3072 T
ntt.o ntt_2048_3328 T
ntt.o ntt_3072_3328 T
pack.o poly_decode T
pack.o poly_decode_c2 T
pack.o poly_encode T
pack.o poly_encode_c2 T
sampler.o sampler_binomial T
sampler.o sampler_zb T
sampler.o sampler_zq T

Number of similar (implementation,compiler) pairs: 10, namely:

Implementation	Compiler
`T:avx2`	`clang -march=native -O2 -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_18.1.3_(1ubuntu1))`
`T:avx2`	`clang -march=native -O3 -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_18.1.3_(1ubuntu1))`
`T:avx2`	`clang -march=native -Os -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_18.1.3_(1ubuntu1))`
`T:avx2`	`gcc -march=native -mtune=native -O2 -fwrapv -fPIC -fPIE -gdwarf-4 -Wall (13.2.0)`
`T:avx2`	`gcc -march=native -mtune=native -O3 -fwrapv -fPIC -fPIE -gdwarf-4 -Wall (13.2.0)`
`T:opt`	`clang -march=native -O2 -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_18.1.3_(1ubuntu1))`
`T:opt`	`clang -march=native -O3 -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_18.1.3_(1ubuntu1))`
`T:opt`	`clang -march=native -Os -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_18.1.3_(1ubuntu1))`
`T:opt`	`gcc -march=native -mtune=native -O2 -fwrapv -fPIC -fPIE -gdwarf-4 -Wall (13.2.0)`
`T:opt`	`gcc -march=native -mtune=native -O3 -fwrapv -fPIC -fPIE -gdwarf-4 -Wall (13.2.0)`

Namespace violations

encrypt.o crypto_encrypt T
encrypt.o crypto_encrypt_keypair T
encrypt.o crypto_encrypt_open T
fastrandombytes.o fastrandombytes T
fastrandombytes.o fastrandombytes_setseed T
fastrandombytes.o iv B
fastrandombytes.o key B
ntt.o intt_1280_1280 T
ntt.o intt_3072_3072_inv T
ntt.o intt_3328_3328 T
ntt.o ntt_1280_1280_inv T
ntt.o ntt_3072_3072 T
pack.o poly_decode T
pack.o poly_decode_c2 T
pack.o poly_encode T
pack.o poly_encode_c2 T
product.o mp T
product.o product T
sampler.o sampler_binomial T
sampler.o sampler_zb T
sampler.o sampler_zq T

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

Implementation	Compiler
`T:ref`	`clang -march=native -O2 -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_18.1.3_(1ubuntu1))`
`T:ref`	`clang -march=native -O3 -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_18.1.3_(1ubuntu1))`
`T:ref`	`clang -march=native -Os -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_18.1.3_(1ubuntu1))`
`T:ref`	`gcc -march=native -mtune=native -O2 -fwrapv -fPIC -fPIE -gdwarf-4 -Wall (13.2.0)`
`T:ref`	`gcc -march=native -mtune=native -O3 -fwrapv -fPIC -fPIE -gdwarf-4 -Wall (13.2.0)`
`T:ref`	`gcc -march=native -mtune=native -Os -fwrapv -fPIC -fPIE -gdwarf-4 -Wall (13.2.0)`