Implementation notes: amd64, titan0, crypto_kem/titaniumccasuper

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

Time	Object size	Test size	Implementation	Compiler	Benchmark date	SUPERCOP version
4572312	158600 0 0	317573 844 1752	`T:avx2`	`clang_-march=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
4731652	157135 0 0	316077 844 1752	`T:avx2`	`clang_-march=native_-O2_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
4745251	157135 0 0	316077 844 1752	`T:avx2`	`clang_-march=native_-O_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
4982808	145331 0 0	300651 836 1752	`T:avx2`	`clang_-march=native_-Os_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
5018439	168975 0 0	328839 828 1800	`T:avx2`	`gcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210119	20210114
5132913	147825 0 0	304679 828 1800	`T:avx2`	`gcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210119	20210114
5499885	147410 0 0	304047 828 1800	`T:avx2`	`gcc_-march=native_-mtune=native_-O_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210119	20210114
6832786	142868 0 0	301437 844 1752	`T:opt`	`clang_-march=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
6855671	131430 0 0	290085 844 1752	`T:opt`	`clang_-march=native_-O_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
6974144	131430 0 0	290085 844 1752	`T:opt`	`clang_-march=native_-O2_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
7241382	121407 0 0	281095 828 1800	`T:opt`	`gcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210119	20210114
7319765	102853 0 0	261477 844 1752	`T:opt`	`clang_-mcpu=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
7593841	85170 0 0	240643 836 1752	`T:opt`	`clang_-march=native_-Os_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
7886344	82240 0 0	239239 828 1800	`T:opt`	`gcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210119	20210114
8555097	82223 0 0	239007 828 1800	`T:opt`	`gcc_-march=native_-mtune=native_-O_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210119	20210114
1114894947	78248 0 0	236805 844 1752	`T:ref`	`clang_-mcpu=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
1134042620	57022 0 0	212419 836 1752	`T:ref`	`clang_-march=native_-Os_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
1135991863	70350 0 0	230127 828 1800	`T:ref`	`gcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210119	20210114
1147723982	55618 0 0	212511 828 1800	`T:ref`	`gcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210119	20210114
1235576248	100729 0 0	259941 844 1752	`T:ref`	`clang_-march=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
1235644305	72861 0 0	232005 844 1752	`T:ref`	`clang_-march=native_-O2_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
1235655990	72861 0 0	232005 844 1752	`T:ref`	`clang_-march=native_-O_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210119	20210114
1448087505	55841 0 0	212503 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_titaniumccasuper.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_titaniumccasuper.a(encrypt.o): In function `crypto_encrypt_keypair':
try.c: encrypt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: crypto_kem_titaniumccasuper.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_titaniumccasuper.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 `montgomery'
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 `montgomery'
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_titaniumccasuper.a(ntt.o): In function `ntt_core':
try.c: ntt.c:(.text+0x...): undefined reference to `montgomery'
try.c: crypto_kem_titaniumccasuper.a(ntt.o): In function `intt_core':
try.c: ntt.c:(.text+0x...): undefined reference to `montgomery'
try.c: ntt.c:(.text+0x...): undefined reference to `montgomery'
try.c: crypto_kem_titaniumccasuper.a(ntt.o): In function `ntt_butterfly_2048_3328':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_16q'
try.c: crypto_kem_titaniumccasuper.a(ntt.o): In function `ntt_butterfly_3328_1280':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_32q'
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_titaniumccasuper.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_titaniumccasuper.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_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 (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_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 (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