Implementation notes: amd64, hydra8, crypto_kem/titaniumccastd

Computer: hydra8
Architecture: amd64
CPU ID: GenuineIntel-000306a9-bfebfbff
SUPERCOP version: 20220506
Operation: crypto_kem
Primitive: titaniumccastd

Time	Object size	Test size	Implementation	Compiler	Benchmark date	SUPERCOP version
4130566	81257 0 0	246861 844 1752	`T:opt`	`clang_-march=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
4163322	63133 0 0	227213 844 1752	`T:opt`	`clang_-march=native_-O_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
4166613	63133 0 0	227213 844 1752	`T:opt`	`clang_-march=native_-O2_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
4197368	84408 0 0	248263 828 1800	`T:opt`	`gcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210119	20210114
4274617	73526 0 0	236981 844 1752	`T:opt`	`clang_-mcpu=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
4351434	51343 0 0	211835 836 1752	`T:opt`	`clang_-march=native_-Os_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
4495895	50518 0 0	212463 828 1800	`T:opt`	`gcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210119	20210114
4980625	50515 0 0	212223 828 1800	`T:opt`	`gcc_-march=native_-mtune=native_-O_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210119	20210114
398808857	44564 0 0	208637 844 1752	`T:ref`	`clang_-march=native_-O_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
398849655	44564 0 0	208637 844 1752	`T:ref`	`clang_-march=native_-O2_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
398938114	76378 0 0	241981 844 1752	`T:ref`	`clang_-march=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
399060607	61447 0 0	224901 844 1752	`T:ref`	`clang_-mcpu=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
402931669	46952 0 0	210815 828 1800	`T:ref`	`gcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210119	20210114
406998433	33081 0 0	194919 828 1800	`T:ref`	`gcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210119	20210114
409680187	33925 0 0	194307 836 1752	`T:ref`	`clang_-march=native_-Os_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
515854928	33264 0 0	194839 828 1800	`T:ref`	`gcc_-march=native_-mtune=native_-O_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210119	20210114

Compiler output

Implementation: T:avx2
Security model: timingleaks
Compiler: clang -march=native -O2 -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE

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: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: t = _mm256_add_epi64(u, v);
encrypt.c: ^
encrypt.c: encrypt.c:85:9: 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: t1 = _mm256_mul_epu32(t, V_B4Q_B4Q_B4Q_B4Q);
encrypt.c: ^
encrypt.c: encrypt.c:86:9: error: always_inline function '_mm256_srli_epi64' requires target feature 'avx2', but would be inlined into function 'crypto_encrypt_keypair' that is compiled without support for 'avx2'
encrypt.c: t1 = _mm256_srli_epi64(t1, BARRETT_BITSHIFT_4Q);
encrypt.c: ^
encrypt.c: encrypt.c:87:9: 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: t1 = _mm256_mul_epu32(t1, V_Q_Q_Q_Q);
encrypt.c: ^
encrypt.c: encrypt.c:88:8: error: always_inline function '_mm256_sub_epi64' requires target feature 'avx2', but would be inlined into function 'crypto_encrypt_keypair' that is compiled without support for 'avx2'
encrypt.c: t = _mm256_sub_epi64(t, t1);
encrypt.c: ^
encrypt.c: 6 errors generated.

Number of similar (compiler,implementation) pairs: 4, namely:

Compiler	Implementations
clang -march=native -O2 -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE	T:avx2
clang -march=native -O3 -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE	T:avx2
clang -march=native -O -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE	T:avx2
clang -march=native -Os -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE	T:avx2

Compiler output

Implementation: T:avx2
Security model: timingleaks
Compiler: clang -mcpu=native -O3 -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE

encrypt.c: encrypt.c:67:8: error: always_inline function '_mm256_loadu_si256' requires target feature 'sse4.2', but would be inlined into function 'crypto_encrypt_keypair' that is compiled without support for 'sse4.2'
encrypt.c: u = _mm256_loadu_si256((__m256i *)(a[i] + j));
encrypt.c: ^
encrypt.c: encrypt.c:68:8: error: always_inline function '_mm256_loadu_si256' requires target feature 'sse4.2', but would be inlined into function 'crypto_encrypt_keypair' that is compiled without support for 'sse4.2'
encrypt.c: v = _mm256_loadu_si256((__m256i *)(s + j));
encrypt.c: ^
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:70:4: error: always_inline function '_mm256_storeu_si256' requires target feature 'sse4.2', but would be inlined into function 'crypto_encrypt_keypair' that is compiled without support for 'sse4.2'
encrypt.c: _mm256_storeu_si256((__m256i *)(a[i] + j), t);
encrypt.c: ^
encrypt.c: encrypt.c:82:8: error: always_inline function '_mm256_loadu_si256' requires target feature 'sse4.2', but would be inlined into function 'crypto_encrypt_keypair' that is compiled without support for 'sse4.2'
encrypt.c: u = _mm256_loadu_si256((__m256i *)(a[i] + j));
encrypt.c: ^
encrypt.c: encrypt.c:83:8: error: always_inline function '_mm256_loadu_si256' requires target feature 'sse4.2', but would be inlined into function 'crypto_encrypt_keypair' that is compiled without support for 'sse4.2'
encrypt.c: v = _mm256_loadu_si256((__m256i *)(e[i] + j));
encrypt.c: ^
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: t = _mm256_add_epi64(u, v);
encrypt.c: ^
encrypt.c: encrypt.c:85:9: 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: t1 = _mm256_mul_epu32(t, V_B4Q_B4Q_B4Q_B4Q);
encrypt.c: ^
encrypt.c: encrypt.c:86:9: error: always_inline function '_mm256_srli_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 (compiler,implementation) pairs: 1, namely:

Compiler	Implementations
clang -mcpu=native -O3 -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE	T:avx2

Compiler output

Implementation: T:avx2
Security model: timingleaks
Compiler: gcc -march=native -mtune=native -O2 -fomit-frame-pointer -fwrapv -fPIC -fPIE

encrypt.c: In file included from /usr/lib/gcc/x86_64-linux-gnu/7/include/immintrin.h:43:0,
encrypt.c: from /usr/lib/gcc/x86_64-linux-gnu/7/include/x86intrin.h:48,
encrypt.c: from encrypt.c:18:
encrypt.c: encrypt.c: In function 'crypto_encrypt_keypair':
encrypt.c: /usr/lib/gcc/x86_64-linux-gnu/7/include/avx2intrin.h:567:1: error: inlining failed in call to always_inline '_mm256_mul_epu32': target specific option mismatch
encrypt.c: _mm256_mul_epu32 (__m256i __A, __m256i __B)
encrypt.c: ^~~~~~~~~~~~~~~~
encrypt.c: encrypt.c:69:6: note: called from here
encrypt.c: t = _mm256_mul_epu32(u, v);
encrypt.c: ~~^~~~~~~~~~~~~~~~~~~~~~~~
encrypt.c: In file included from /usr/lib/gcc/x86_64-linux-gnu/7/include/immintrin.h:43:0,
encrypt.c: from /usr/lib/gcc/x86_64-linux-gnu/7/include/x86intrin.h:48,
encrypt.c: from encrypt.c:18:
encrypt.c: /usr/lib/gcc/x86_64-linux-gnu/7/include/avx2intrin.h:567:1: error: inlining failed in call to always_inline '_mm256_mul_epu32': target specific option mismatch
encrypt.c: _mm256_mul_epu32 (__m256i __A, __m256i __B)
encrypt.c: ^~~~~~~~~~~~~~~~
encrypt.c: encrypt.c:69:6: note: called from here
encrypt.c: t = _mm256_mul_epu32(u, v);
encrypt.c: ~~^~~~~~~~~~~~~~~~~~~~~~~~
encrypt.c: In file included from /usr/lib/gcc/x86_64-linux-gnu/7/include/immintrin.h:43:0,
encrypt.c: from /usr/lib/gcc/x86_64-linux-gnu/7/include/x86intrin.h:48,
encrypt.c: from encrypt.c:18:
encrypt.c: /usr/lib/gcc/x86_64-linux-gnu/7/include/avx2intrin.h:822:1: error: inlining failed in call to always_inline '_mm256_sub_epi64': target specific option mismatch
encrypt.c: _mm256_sub_epi64 (__m256i __A, __m256i __B)
encrypt.c: ^~~~~~~~~~~~~~~~
encrypt.c: ...

Number of similar (compiler,implementation) pairs: 4, namely:

Compiler	Implementations
gcc -march=native -mtune=native -O2 -fomit-frame-pointer -fwrapv -fPIC -fPIE	T:avx2
gcc -march=native -mtune=native -O3 -fomit-frame-pointer -fwrapv -fPIC -fPIE	T:avx2
gcc -march=native -mtune=native -O -fomit-frame-pointer -fwrapv -fPIC -fPIE	T:avx2
gcc -march=native -mtune=native -Os -fomit-frame-pointer -fwrapv -fPIC -fPIE	T:avx2

Compiler output

Implementation: T:opt
Security model: timingleaks
Compiler: gcc -march=native -mtune=native -Os -fomit-frame-pointer -fwrapv -fPIC -fPIE

try.c: crypto_kem_titaniumccastd.a(encrypt.o): In function `crypto_encrypt_keypair':
try.c: encrypt.c:(.text+0x...): undefined reference to `barrett_4q2'
try.c: encrypt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: crypto_kem_titaniumccastd.a(encrypt.o): In function `crypto_encrypt':
try.c: encrypt.c:(.text+0x...): undefined reference to `barrett_4q2'
try.c: encrypt.c:(.text+0x...): undefined reference to `barrett_4q2'
try.c: crypto_kem_titaniumccastd.a(encrypt.o): In function `crypto_encrypt_open':
try.c: encrypt.c:(.text+0x...): undefined reference to `barrett_4q2'
try.c: crypto_kem_titaniumccastd.a(fastrandombytes.o): In function `fastrandombytes':
try.c: fastrandombytes.c:(.text+0x...): undefined reference to `load_32'
try.c: fastrandombytes.c:(.text+0x...): undefined reference to `store_32'
try.c: crypto_kem_titaniumccastd.a(ntt.o): In function `ntt_2':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_4q2'
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_4q2'
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: crypto_kem_titaniumccastd.a(ntt.o): In function `ntt_core':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_2q2'
try.c: crypto_kem_titaniumccastd.a(ntt.o): In function `intt_core':
try.c: ...

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

Compiler	Implementations
gcc -march=native -mtune=native -Os -fomit-frame-pointer -fwrapv -fPIC -fPIE	T:opt

Compiler output

Implementation: T:ref
Security model: timingleaks
Compiler: gcc -march=native -mtune=native -Os -fomit-frame-pointer -fwrapv -fPIC -fPIE

try.c: crypto_kem_titaniumccastd.a(fastrandombytes.o): In function `fastrandombytes':
try.c: fastrandombytes.c:(.text+0x...): undefined reference to `load_32'
try.c: fastrandombytes.c:(.text+0x...): undefined reference to `store_32'
try.c: crypto_kem_titaniumccastd.a(sampler.o): In function `sampler_zq':
try.c: sampler.c:(.text+0x...): undefined reference to `load_24'
try.c: collect2: error: ld returned 1 exit status

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

Compiler	Implementations
gcc -march=native -mtune=native -Os -fomit-frame-pointer -fwrapv -fPIC -fPIE	T:ref

Namespace violations

Implementation: T:opt
Security model: timingleaks
Compiler: clang -march=native -O2 -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE

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 C
fastrandombytes.o key C
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 (compiler,implementation) pairs: 8, namely:

Compiler	Implementations
clang -march=native -O2 -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE	T:opt
clang -march=native -O3 -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE	T:opt
clang -march=native -O -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE	T:opt
clang -march=native -Os -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE	T:opt
clang -mcpu=native -O3 -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE	T:opt
gcc -march=native -mtune=native -O2 -fomit-frame-pointer -fwrapv -fPIC -fPIE	T:opt
gcc -march=native -mtune=native -O3 -fomit-frame-pointer -fwrapv -fPIC -fPIE	T:opt
gcc -march=native -mtune=native -O -fomit-frame-pointer -fwrapv -fPIC -fPIE	T:opt

Namespace violations

Implementation: T:ref
Security model: timingleaks
Compiler: clang -march=native -O2 -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE

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 C
fastrandombytes.o key C
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 (compiler,implementation) pairs: 8, namely:

Compiler	Implementations
clang -march=native -O2 -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE	T:ref
clang -march=native -O3 -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE	T:ref
clang -march=native -O -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE	T:ref
clang -march=native -Os -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE	T:ref
clang -mcpu=native -O3 -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE	T:ref
gcc -march=native -mtune=native -O2 -fomit-frame-pointer -fwrapv -fPIC -fPIE	T:ref
gcc -march=native -mtune=native -O3 -fomit-frame-pointer -fwrapv -fPIC -fPIE	T:ref
gcc -march=native -mtune=native -O -fomit-frame-pointer -fwrapv -fPIC -fPIE	T:ref