Implementation notes: amd64, bolero, crypto_kem/titaniumccastd

Computer: bolero
Microarchitecture: amd64; Broadwell+AES (406f1)
Architecture: amd64
CPU ID: GenuineIntel-000406f1-1fc9cbf5
SUPERCOP version: 20240808
Operation: crypto_kem
Primitive: titaniumccastd

Time	Object size	Test size	Implementation	Compiler	Benchmark date	SUPERCOP version
2449180	91867 0 36	256670 840 1608	`T:avx2`	`clang_-march=native_-O2_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
2508260	96046 0 36	261118 840 1608	`T:avx2`	`clang_-march=native_-O3_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
2565472	87080 0 36	248198 840 1608	`T:avx2`	`clang_-march=native_-O_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
2589992	83970 0 36	246040 832 1704	`T:avx2`	`clang_-march=native_-Os_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
2763864	90669 0 64	254908 800 1672	`T:avx2`	`gcc_-march=native_-mtune=native_-O3_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
2865852	86113 0 64	248492 800 1672	`T:avx2`	`gcc_-march=native_-mtune=native_-O2_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
3016328	85819 0 64	247724 800 1672	`T:avx2`	`gcc_-march=native_-mtune=native_-O_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
3283608	110632 0 36	275294 840 1608	`T:opt`	`clang_-march=native_-O3_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
3353760	94404 0 36	258790 840 1608	`T:opt`	`clang_-march=native_-O2_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
3607128	84069 0 64	248220 800 1672	`T:opt`	`gcc_-march=native_-mtune=native_-O3_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
3705272	52682 0 36	214840 832 1704	`T:opt`	`clang_-march=native_-Os_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
3712736	67323 0 36	231246 840 1608	`T:opt`	`clang_-mcpu=native_-O3_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
3827828	50930 0 64	213500 800 1672	`T:opt`	`gcc_-march=native_-mtune=native_-O2_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
3864460	50792 0 36	212454 840 1608	`T:opt`	`clang_-march=native_-O_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
3960724	50839 0 64	212940 800 1672	`T:opt`	`gcc_-march=native_-mtune=native_-O_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
365029544	53727 0 36	218766 840 1608	`T:ref`	`clang_-march=native_-O2_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
365031080	90523 0 36	255878 840 1608	`T:ref`	`clang_-march=native_-O3_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
373658256	34085 0 36	196264 832 1704	`T:ref`	`clang_-march=native_-Os_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
378625892	54079 0 64	218252 800 1672	`T:ref`	`gcc_-march=native_-mtune=native_-O3_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
384271376	33549 0 64	195924 800 1672	`T:ref`	`gcc_-march=native_-mtune=native_-O2_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
385564608	55303 0 36	219198 840 1608	`T:ref`	`clang_-mcpu=native_-O3_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
390388268	33126 0 36	194718 840 1608	`T:ref`	`clang_-march=native_-O_-fwrapv_-Qunused-arguments_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
475433520	33697 0 64	195660 800 1672	`T:ref`	`gcc_-march=native_-mtune=native_-O_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716
1478344832	32300 0 64	193100 792 1640	`T:ref`	`gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall`	20240720	20240716

Compiler output

encrypt.c: encrypt.c:67:8: 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:67:8: error: AVX vector return of type '__m256i' (vector of 4 'long long' values) without 'avx' enabled changes the ABI
encrypt.c: encrypt.c:68:8: 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:68:8: error: AVX vector return of type '__m256i' (vector of 4 'long long' values) without 'avx' enabled changes the ABI
encrypt.c: encrypt.c:69:8: 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:69:8: error: AVX vector argument of type '__m256i' (vector of 4 'long long' values) without 'avx' enabled changes the ABI
encrypt.c: encrypt.c:70:4: 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:70:4: error: AVX vector argument of type '__m256i' (vector of 4 'long long' values) without 'avx' enabled changes the ABI
encrypt.c: encrypt.c:82:8: 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:82:8: error: AVX vector return of type '__m256i' (vector of 4 'long long' values) without 'avx' enabled changes the ABI
encrypt.c: encrypt.c:83:8: 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:83:8: error: AVX vector return of type '__m256i' (vector of 4 'long long' values) without 'avx' enabled changes the ABI
encrypt.c: encrypt.c:84:8: 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_titaniumccastd.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/titaniumccastd/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_titaniumccastd.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/titaniumccastd/opt/work/encrypt.c:59: undefined reference to `barrett_4q2'
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/titaniumccastd/opt/work/encrypt.c:67: undefined reference to `barrett_4q'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccastd.a(encrypt.o): in function `crypto_encrypt':
try.c: .../supercop-data/bolero/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccastd/opt/work/encrypt.c:140: undefined reference to `barrett_4q2'
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/titaniumccastd/opt/work/encrypt.c:150: undefined reference to `barrett_4q2'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccastd.a(encrypt.o): in function `crypto_encrypt_open':
try.c: .../supercop-data/bolero/amd64/try/c/gcc_-march=native_-mtune=native_-Os_-fwrapv_-fPIC_-fPIE_-gdwarf-4_-Wall/timingleaks/crypto_kem/titaniumccastd/opt/work/encrypt.c:194: undefined reference to `barrett_4q2'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccastd.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/titaniumccastd/opt/work/ntt.c:459: 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/titaniumccastd/opt/work/ntt.c:460: 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/titaniumccastd/opt/work/ntt.c:471: 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/titaniumccastd/opt/work/ntt.c:472: undefined reference to `barrett_4q2'
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/titaniumccastd/opt/work/ntt.c:490: 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/titaniumccastd/opt/work/ntt.c:491: 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/titaniumccastd/opt/work/ntt.c:496: 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/titaniumccastd/opt/work/ntt.c:497: undefined reference to `barrett_4q2'
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/titaniumccastd/opt/work/ntt.c:507: 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/titaniumccastd/opt/work/ntt.c:508: undefined reference to `barrett_4q'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccastd.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/titaniumccastd/opt/work/ntt.c:536: undefined reference to `barrett_2q2'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccastd.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/titaniumccastd/opt/work/ntt.c:564: undefined reference to `barrett_2q2'
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/titaniumccastd/opt/work/ntt.c:576: undefined reference to `barrett_2q2'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccastd.a(ntt.o): in function `ntt_butterfly_1024_1792':
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_1536_1536_inv T
ntt.o intt_1792_256 T
ntt.o intt_1792_768 T
ntt.o intt_768_256 T
ntt.o ntt_1024_1536 T
ntt.o ntt_1024_1792 T
ntt.o ntt_1536_1792 T
ntt.o ntt_512_1536 T
ntt.o ntt_768_768_inv 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_1536_1536_inv T
ntt.o intt_1792_1792 T
ntt.o intt_768_768 T
ntt.o ntt_1536_1536 T
ntt.o ntt_768_768_inv 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)`