Implementation notes: amd64, bolero, crypto_kem/titaniumccasuper

Computer: bolero
Microarchitecture: amd64; Broadwell+AES (406f1)
Architecture: amd64
CPU ID: GenuineIntel-000406f1-1fc9cbf5
SUPERCOP version: 20240716
Operation: crypto_kem
Primitive: titaniumccasuper

Time	Object size	Test size	Implementation	Compiler	Benchmark date	SUPERCOP version
4741584	149326 0 36	310318 840 1608	`T:avx2`	`clang_-march=native_-O_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
4753720	156545 0 36	321214 840 1608	`T:avx2`	`clang_-march=native_-O2_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
4844148	157220 0 36	322174 840 1608	`T:avx2`	`clang_-march=native_-O3_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
4845244	145406 0 36	307352 832 1704	`T:avx2`	`clang_-march=native_-Os_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
4971660	155733 0 64	320004 800 1672	`T:avx2`	`gcc_-march=native_-mtune=native_-O3_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
5171384	147561 0 64	309908 800 1672	`T:avx2`	`gcc_-march=native_-mtune=native_-O2_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
5446096	147218 0 64	309132 800 1672	`T:avx2`	`gcc_-march=native_-mtune=native_-O_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
6553688	146407 0 36	311046 840 1608	`T:opt`	`clang_-march=native_-O3_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
6573768	118611 0 36	283182 840 1608	`T:opt`	`clang_-march=native_-O2_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
7091232	111777 0 64	275924 800 1672	`T:opt`	`gcc_-march=native_-mtune=native_-O3_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
7156500	104557 0 36	268070 840 1608	`T:opt`	`clang_-mcpu=native_-O3_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
7384756	83669 0 36	246008 832 1704	`T:opt`	`clang_-march=native_-Os_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
7406900	82746 0 36	244422 840 1608	`T:opt`	`clang_-march=native_-O_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
7531424	82634 0 64	245164 800 1672	`T:opt`	`gcc_-march=native_-mtune=native_-O2_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
8149792	82629 0 64	244732 800 1672	`T:opt`	`gcc_-march=native_-mtune=native_-O_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
1091718936	99917 0 36	265374 840 1608	`T:ref`	`clang_-march=native_-O3_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
1092131632	71665 0 36	236838 840 1608	`T:ref`	`clang_-march=native_-O2_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
1123731668	56630 0 36	218752 832 1704	`T:ref`	`clang_-march=native_-Os_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
1127379284	75089 0 36	239022 840 1608	`T:ref`	`clang_-mcpu=native_-O3_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
1140143360	72873 0 64	236980 800 1672	`T:ref`	`gcc_-march=native_-mtune=native_-O3_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
1148668596	56275 0 64	218628 800 1672	`T:ref`	`gcc_-march=native_-mtune=native_-O2_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
1179303896	55755 0 36	217326 840 1608	`T:ref`	`clang_-march=native_-O_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
1401327644	56346 0 64	218292 800 1672	`T:ref`	`gcc_-march=native_-mtune=native_-O_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
4472382944	55175 0 64	215996 792 1640	`T:ref`	`gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716

Compiler output

encrypt.c: encrypt.c:63:8: error: always_inline function '_mm256_loadu_si256' requires target feature 'avx', but would be inlined into function 'crypto_encrypt_keypair' that is compiled without support for 'avx'
encrypt.c:                         u = _mm256_loadu_si256((__m256i *)(a[i] + j));
encrypt.c:                             ^
encrypt.c: encrypt.c:63:8: error: AVX vector return of type '__m256i' (vector of 4 'long long' values) without 'avx' enabled changes the ABI
encrypt.c: encrypt.c:64:8: error: always_inline function '_mm256_loadu_si256' requires target feature 'avx', but would be inlined into function 'crypto_encrypt_keypair' that is compiled without support for 'avx'
encrypt.c:                         v = _mm256_loadu_si256((__m256i *)(s + j));
encrypt.c:                             ^
encrypt.c: encrypt.c:64:8: error: AVX vector return of type '__m256i' (vector of 4 'long long' values) without 'avx' enabled changes the ABI
encrypt.c: encrypt.c:65:8: error: always_inline function '_mm256_mul_epu32' requires target feature 'avx2', but would be inlined into function 'crypto_encrypt_keypair' that is compiled without support for 'avx2'
encrypt.c:                         t = _mm256_mul_epu32(u, v);
encrypt.c:                             ^
encrypt.c: encrypt.c:65:8: error: AVX vector argument of type '__m256i' (vector of 4 'long long' values) without 'avx' enabled changes the ABI
encrypt.c: encrypt.c:66:4: error: always_inline function '_mm256_storeu_si256' requires target feature 'avx', but would be inlined into function 'crypto_encrypt_keypair' that is compiled without support for 'avx'
encrypt.c:                         _mm256_storeu_si256((__m256i *)(a[i] + j), t);
encrypt.c:                         ^
encrypt.c: encrypt.c:66:4: error: AVX vector argument of type '__m256i' (vector of 4 'long long' values) without 'avx' enabled changes the ABI
encrypt.c: encrypt.c:78:8: error: always_inline function '_mm256_loadu_si256' requires target feature 'avx', but would be inlined into function 'crypto_encrypt_keypair' that is compiled without support for 'avx'
encrypt.c:                         u = _mm256_loadu_si256((__m256i *)(a[i] + j));
encrypt.c:                             ^
encrypt.c: encrypt.c:78:8: error: AVX vector return of type '__m256i' (vector of 4 'long long' values) without 'avx' enabled changes the ABI
encrypt.c: encrypt.c:79:8: error: always_inline function '_mm256_loadu_si256' requires target feature 'avx', but would be inlined into function 'crypto_encrypt_keypair' that is compiled without support for 'avx'
encrypt.c:                         v = _mm256_loadu_si256((__m256i *)(e[i] + j));
encrypt.c:                             ^
encrypt.c: encrypt.c:79:8: error: AVX vector return of type '__m256i' (vector of 4 'long long' values) without 'avx' enabled changes the ABI
encrypt.c: encrypt.c:80:8: error: always_inline function '_mm256_add_epi64' requires target feature 'avx2', but would be inlined into function 'crypto_encrypt_keypair' that is compiled without support for 'avx2'
encrypt.c: ...

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

Implementation	Compiler
`T:avx2`	`clang -mcpu=native -O3 -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_14.0.0)`

Compiler output

try.c: /usr/bin/ld: libcrypto_kem_titaniumccasuper.a(sampler.o): in function `sampler_zq':
try.c: .../supercop-data/bolero/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/avx2/work/sampler.c:160: 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 (11.4.0)`

Compiler output

try.c: /usr/bin/ld: libcrypto_kem_titaniumccasuper.a(encrypt.o): in function `crypto_encrypt_keypair':
try.c: .../supercop-data/bolero/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/encrypt.c:63: undefined reference to `barrett_4q'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccasuper.a(ntt.o): in function `ntt_2':
try.c: .../supercop-data/bolero/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:725: undefined reference to `barrett_4q'
try.c: /usr/bin/ld: .../supercop-data/bolero/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:726: undefined reference to `barrett_4q'
try.c: /usr/bin/ld: .../supercop-data/bolero/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:737: undefined reference to `barrett_4q'
try.c: /usr/bin/ld: .../supercop-data/bolero/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:738: undefined reference to `montgomery'
try.c: /usr/bin/ld: .../supercop-data/bolero/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:756: undefined reference to `barrett_4q'
try.c: /usr/bin/ld: .../supercop-data/bolero/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:757: undefined reference to `barrett_4q'
try.c: /usr/bin/ld: .../supercop-data/bolero/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:762: undefined reference to `barrett_4q'
try.c: /usr/bin/ld: .../supercop-data/bolero/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:763: undefined reference to `montgomery'
try.c: /usr/bin/ld: .../supercop-data/bolero/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:773: undefined reference to `barrett_4q'
try.c: /usr/bin/ld: .../supercop-data/bolero/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:774: undefined reference to `barrett_4q'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccasuper.a(ntt.o): in function `ntt_core':
try.c: .../supercop-data/bolero/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:802: undefined reference to `montgomery'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccasuper.a(ntt.o): in function `intt_core':
try.c: .../supercop-data/bolero/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:830: undefined reference to `montgomery'
try.c: /usr/bin/ld: .../supercop-data/bolero/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:842: 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/bolero/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:860: 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/bolero/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:894: 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/bolero/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccasuper/opt/work/ntt.c:916: 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 (11.4.0)`

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: 15, namely:

Implementation	Compiler
`T:avx2`	`clang -march=native -O2 -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_14.0.0)`
`T:avx2`	`clang -march=native -O3 -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_14.0.0)`
`T:avx2`	`clang -march=native -O -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_14.0.0)`
`T:avx2`	`clang -march=native -Os -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_14.0.0)`
`T:avx2`	`gcc -march=native -mtune=native -O2 -fwrapv -fPIC -fPIE -gdwarf-4 -Wall (11.4.0)`
`T:avx2`	`gcc -march=native -mtune=native -O3 -fwrapv -fPIC -fPIE -gdwarf-4 -Wall (11.4.0)`
`T:avx2`	`gcc -march=native -mtune=native -O -fwrapv -fPIC -fPIE -gdwarf-4 -Wall (11.4.0)`
`T:opt`	`clang -march=native -O2 -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_14.0.0)`
`T:opt`	`clang -march=native -O3 -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_14.0.0)`
`T:opt`	`clang -march=native -O -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_14.0.0)`
`T:opt`	`clang -march=native -Os -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_14.0.0)`
`T:opt`	`clang -mcpu=native -O3 -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_14.0.0)`
`T:opt`	`gcc -march=native -mtune=native -O2 -fwrapv -fPIC -fPIE -gdwarf-4 -Wall (11.4.0)`
`T:opt`	`gcc -march=native -mtune=native -O3 -fwrapv -fPIC -fPIE -gdwarf-4 -Wall (11.4.0)`
`T:opt`	`gcc -march=native -mtune=native -O -fwrapv -fPIC -fPIE -gdwarf-4 -Wall (11.4.0)`

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: 9, namely:

Implementation	Compiler
`T:ref`	`clang -march=native -O2 -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_14.0.0)`
`T:ref`	`clang -march=native -O3 -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_14.0.0)`
`T:ref`	`clang -march=native -O -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_14.0.0)`
`T:ref`	`clang -march=native -Os -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_14.0.0)`
`T:ref`	`clang -mcpu=native -O3 -fwrapv -Qunused-arguments -fPIC -fPIE -gdwarf-4 -Wall (Ubuntu_Clang_14.0.0)`
`T:ref`	`gcc -march=native -mtune=native -O2 -fwrapv -fPIC -fPIE -gdwarf-4 -Wall (11.4.0)`
`T:ref`	`gcc -march=native -mtune=native -O3 -fwrapv -fPIC -fPIE -gdwarf-4 -Wall (11.4.0)`
`T:ref`	`gcc -march=native -mtune=native -O -fwrapv -fPIC -fPIE -gdwarf-4 -Wall (11.4.0)`
`T:ref`	`gcc -march=native -mtune=native -Os -fwrapv -fPIC -fPIE -gdwarf-4 -Wall (11.4.0)`