Implementation notes: amd64, gcc123, crypto_kem/titaniumccasuper

Computer: gcc123
Architecture: amd64
CPU ID: GenuineIntel-000206d7-bfebfbff
SUPERCOP version: 20220213
Operation: crypto_kem
Primitive: titaniumccasuper
TimeObject sizeTest sizeImplementationCompilerBenchmark dateSUPERCOP version
9011654109996 0 0275706 820 1752T:optclang_-march=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE2021020120210114
901677493641 0 0257610 820 1752T:optclang_-march=native_-O2_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE2021020120210114
901776393641 0 0257610 820 1752T:optclang_-march=native_-O_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE2021020120210114
9253051103245 0 0266055 836 1800T:optgcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE2021020120210114
9270765101760 0 0265466 820 1752T:optclang_-mcpu=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE2021020120210114
954072783185 0 0243824 812 1752T:optclang_-march=native_-Os_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE2021020120210114
960330381241 0 0242855 836 1800T:optgcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE2021020120210114
1074367481703 0 0243079 836 1800T:optgcc_-march=native_-mtune=native_-O_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE2021020120210114
128196349074329 0 0238010 820 1752T:refclang_-mcpu=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE2021020120210114
128210953562710 0 0226690 820 1752T:refclang_-march=native_-O_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE2021020120210114
128217509781641 0 0247362 820 1752T:refclang_-march=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE2021020120210114
128232918162710 0 0226690 820 1752T:refclang_-march=native_-O2_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE2021020120210114
136673647356311 0 0216784 812 1752T:refclang_-march=native_-Os_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE2021020120210114
136707727567094 0 0229911 836 1800T:refgcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE2021020120210114
138054315755019 0 0216551 836 1800T:refgcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE2021020120210114
163570424955144 0 0216383 836 1800T:refgcc_-march=native_-mtune=native_-O_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE2021020120210114

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:
CompilerImplementations
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:
CompilerImplementations
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:
CompilerImplementations
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:
CompilerImplementations
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:
CompilerImplementations
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:
CompilerImplementations
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:
CompilerImplementations
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