Implementation notes: amd64, titan0, crypto_kem/titaniumccamed

Computer: titan0
Architecture: amd64
CPU ID: GenuineIntel-000306c3-bfebfbff
SUPERCOP version: 20210604
Operation: crypto_kem
Primitive: titaniumccamed

Time	Object size	Test size	Implementation	Compiler	Benchmark date	SUPERCOP version
3272228	88154 0 0	247341 844 1752	`T:avx2`	`clang_-march=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
3358944	86811 0 0	245965 844 1752	`T:avx2`	`clang_-march=native_-O_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
3362058	86811 0 0	245965 844 1752	`T:avx2`	`clang_-march=native_-O2_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
3442169	80001 0 0	235331 836 1752	`T:avx2`	`clang_-march=native_-Os_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
3488934	114327 0 0	274159 828 1800	`T:avx2`	`gcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210119	20210114
3554127	86242 0 0	243047 828 1800	`T:avx2`	`gcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210119	20210114
3803007	86022 0 0	242583 828 1800	`T:avx2`	`gcc_-march=native_-mtune=native_-O_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210119	20210114
4392638	93793 0 0	252133 844 1752	`T:opt`	`clang_-march=native_-O_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
4392704	93793 0 0	252133 844 1752	`T:opt`	`clang_-march=native_-O2_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
4421314	116199 0 0	274565 844 1752	`T:opt`	`clang_-march=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
4540810	46477 0 0	201891 836 1752	`T:opt`	`clang_-march=native_-Os_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
4601276	92616 0 0	252327 828 1800	`T:opt`	`gcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210119	20210114
4760181	69427 0 0	227981 844 1752	`T:opt`	`clang_-mcpu=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
4849393	47723 0 0	204759 828 1800	`T:opt`	`gcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210119	20210114
5342822	47456 0 0	204247 828 1800	`T:opt`	`gcc_-march=native_-mtune=native_-O_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210119	20210114
433032146	64503 0 0	223037 844 1752	`T:ref`	`clang_-mcpu=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
439835532	37672 0 0	193019 836 1752	`T:ref`	`clang_-march=native_-Os_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
441550767	53367 0 0	213159 828 1800	`T:ref`	`gcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210119	20210114
446054175	36212 0 0	193111 828 1800	`T:ref`	`gcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210119	20210114
477165733	55162 0 0	214357 844 1752	`T:ref`	`clang_-march=native_-O2_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
477222030	55162 0 0	214357 844 1752	`T:ref`	`clang_-march=native_-O_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
478703046	92134 0 0	251381 844 1752	`T:ref`	`clang_-march=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
568485241	36478 0 0	193111 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 -mcpu=native -O3 -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE

encrypt.c: encrypt.c:63:8: 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:64:8: 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: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:66:4: 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:78:8: 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:79:8: 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: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: t = _mm256_add_epi64(u, v);
encrypt.c: ^
encrypt.c: encrypt.c:81:9: 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:82:9: 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 -Os -fomit-frame-pointer -fwrapv -fPIC -fPIE

try.c: crypto_kem_titaniumccamed.a(sampler.o): In function `sampler_zq':
try.c: sampler.c:(.text+0x...): undefined reference to `load_24'
try.c: sampler.c:(.text+0x...): undefined reference to `barrett_zq'
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: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_titaniumccamed.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_titaniumccamed.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_titaniumccamed.a(encrypt.o): In function `crypto_encrypt_open':
try.c: encrypt.c:(.text+0x...): undefined reference to `barrett_4q2'
try.c: crypto_kem_titaniumccamed.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_titaniumccamed.a(ntt.o): In function `ntt_butterfly_1280_2048':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_16q'
try.c: crypto_kem_titaniumccamed.a(ntt.o): In function `ntt_butterfly_2048_768':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_16q'
try.c: crypto_kem_titaniumccamed.a(ntt.o): In function `ntt_butterfly_512_1792':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: crypto_kem_titaniumccamed.a(ntt.o): In function `ntt_butterfly_1280_1792':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_16q'
try.c: crypto_kem_titaniumccamed.a(ntt.o): In function `ntt_butterfly_1792_1792_inv':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_16q'
try.c: crypto_kem_titaniumccamed.a(ntt.o): In function `ntt_butterfly_768_768_inv':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_8q'
try.c: crypto_kem_titaniumccamed.a(ntt.o): In function `ntt_butterfly_512_768':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
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_titaniumccamed.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_titaniumccamed.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:avx2
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_1792_1792_inv T
ntt.o intt_2048_256 T
ntt.o intt_2048_768 T
ntt.o intt_768_256 T
ntt.o ntt_1280_1792 T
ntt.o ntt_1280_2048 T
ntt.o ntt_1792_2048 T
ntt.o ntt_512_1792 T
ntt.o ntt_512_768 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: 15, 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
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
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_1792_1792_inv T
ntt.o intt_2048_2048 T
ntt.o intt_768_768 T
ntt.o ntt_1792_1792 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