Implementation notes: amd64, gcc123, crypto_kem/titaniumccasuper

Computer: gcc123
Architecture: amd64
CPU ID: GenuineIntel-000206d7-bfebfbff
SUPERCOP version: 20220213
Operation: crypto_kem
Primitive: titaniumccasuper

Time	Object size	Test size	Implementation	Compiler	Benchmark date	SUPERCOP version
9011654	109996 0 0	275706 820 1752	`T:opt`	`clang_-march=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210201	20210114
9016774	93641 0 0	257610 820 1752	`T:opt`	`clang_-march=native_-O2_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210201	20210114
9017763	93641 0 0	257610 820 1752	`T:opt`	`clang_-march=native_-O_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210201	20210114
9253051	103245 0 0	266055 836 1800	`T:opt`	`gcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210201	20210114
9270765	101760 0 0	265466 820 1752	`T:opt`	`clang_-mcpu=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210201	20210114
9540727	83185 0 0	243824 812 1752	`T:opt`	`clang_-march=native_-Os_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210201	20210114
9603303	81241 0 0	242855 836 1800	`T:opt`	`gcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210201	20210114
10743674	81703 0 0	243079 836 1800	`T:opt`	`gcc_-march=native_-mtune=native_-O_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210201	20210114
1281963490	74329 0 0	238010 820 1752	`T:ref`	`clang_-mcpu=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210201	20210114
1282109535	62710 0 0	226690 820 1752	`T:ref`	`clang_-march=native_-O_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210201	20210114
1282175097	81641 0 0	247362 820 1752	`T:ref`	`clang_-march=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210201	20210114
1282329181	62710 0 0	226690 820 1752	`T:ref`	`clang_-march=native_-O2_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210201	20210114
1366736473	56311 0 0	216784 812 1752	`T:ref`	`clang_-march=native_-Os_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20210201	20210114
1367077275	67094 0 0	229911 836 1800	`T:ref`	`gcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210201	20210114
1380543157	55019 0 0	216551 836 1800	`T:ref`	`gcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210201	20210114
1635704249	55144 0 0	216383 836 1800	`T:ref`	`gcc_-march=native_-mtune=native_-O_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20210201	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: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: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: t1 = _mm256_srli_epi64(t1, BARRETT_BITSHIFT_4Q);
encrypt.c: ^
encrypt.c: encrypt.c:83:9: 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:84:8: 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: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: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: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 '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: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: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: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 -O2 -fomit-frame-pointer -fwrapv -fPIC -fPIE

encrypt.c: In file included from /usr/lib/gcc/x86_64-linux-gnu/8/include/immintrin.h:43,
encrypt.c: from /usr/lib/gcc/x86_64-linux-gnu/8/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/8/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:65:8: 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/8/include/immintrin.h:43,
encrypt.c: from /usr/lib/gcc/x86_64-linux-gnu/8/include/x86intrin.h:48,
encrypt.c: from encrypt.c:18:
encrypt.c: /usr/lib/gcc/x86_64-linux-gnu/8/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:65:8: 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/8/include/immintrin.h:43,
encrypt.c: from /usr/lib/gcc/x86_64-linux-gnu/8/include/x86intrin.h:48,
encrypt.c: from encrypt.c:18:
encrypt.c: /usr/lib/gcc/x86_64-linux-gnu/8/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: /usr/bin/ld: crypto_kem_titaniumccasuper.a(encrypt.o): in function `crypto_encrypt_keypair':
try.c: encrypt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: crypto_kem_titaniumccasuper.a(fastrandombytes.o): in function `fastrandombytes':
try.c: fastrandombytes.c:(.text+0x...): undefined reference to `load_32'
try.c: /usr/bin/ld: fastrandombytes.c:(.text+0x...): undefined reference to `store_32'
try.c: /usr/bin/ld: crypto_kem_titaniumccasuper.a(ntt.o): in function `ntt_2':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: ntt.c:(.text+0x...): undefined reference to `montgomery'
try.c: /usr/bin/ld: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: ntt.c:(.text+0x...): undefined reference to `montgomery'
try.c: /usr/bin/ld: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: 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: /usr/bin/ld: 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: /usr/bin/ld: crypto_kem_titaniumccasuper.a(ntt.o): in function `ntt_butterfly_2048_3072':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: crypto_kem_titaniumccasuper.a(ntt.o): in function `ntt_butterfly_3072_3072_inv':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_8q'
try.c: /usr/bin/ld: crypto_kem_titaniumccasuper.a(ntt.o): in function `ntt_butterfly_1280_1280_inv':
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: /usr/bin/ld: crypto_kem_titaniumccasuper.a(fastrandombytes.o): in function `fastrandombytes':
try.c: fastrandombytes.c:(.text+0x...): undefined reference to `load_32'
try.c: /usr/bin/ld: fastrandombytes.c:(.text+0x...): undefined reference to `store_32'
try.c: /usr/bin/ld: 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: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_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: 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_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