Implementation notes: amd64, shoe, crypto_kem/titaniumccamed

Computer: shoe
Microarchitecture: amd64; Broadwell+AES (306d4)
Architecture: amd64
CPU ID: GenuineIntel-000306d4-bfebfbff
SUPERCOP version: 20231107
Operation: crypto_kem
Primitive: titaniumccamed

Time	Object size	Test size	Implementation	Compiler	Benchmark date	SUPERCOP version
3261814	85662 0 64	247168 788 1848	`T:avx2`	`gcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20221020	20221005
3339450	85064 0 64	244936 788 1848	`T:avx2`	`gcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20221020	20221005
3613452	85053 0 64	244512 788 1848	`T:avx2`	`gcc_-march=native_-mtune=native_-O_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20221020	20221005
4354637	83278 0 36	244696 820 1784	`T:opt`	`clang_-march=native_-O2_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20221020	20221005
4368756	99308 0 36	260888 820 1784	`T:opt`	`clang_-march=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20221020	20221005
4500429	45291 0 36	204158 812 1784	`T:opt`	`clang_-march=native_-Os_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20221020	20221005
4646668	63901 0 36	225480 820 1784	`T:opt`	`clang_-mcpu=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20221020	20221005
4748513	77759 0 64	239040 788 1848	`T:opt`	`gcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20221020	20221005
4987799	47727 0 64	207776 788 1848	`T:opt`	`gcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20221020	20221005
5220657	46895 0 64	206544 788 1848	`T:opt`	`gcc_-march=native_-mtune=native_-O_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20221020	20221005
420300487	86139 0 36	248336 820 1784	`T:ref`	`clang_-march=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20221020	20221005
420362808	50725 0 36	212816 820 1784	`T:ref`	`clang_-march=native_-O2_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20221020	20221005
429909138	55383 0 36	216936 820 1784	`T:ref`	`clang_-mcpu=native_-O3_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20221020	20221005
433901132	36228 0 36	195150 812 1784	`T:ref`	`clang_-march=native_-Os_-fomit-frame-pointer_-fwrapv_-Qunused-arguments_-fPIC_-fPIE`	20221020	20221005
439441406	57997 0 64	219336 788 1848	`T:ref`	`gcc_-march=native_-mtune=native_-O3_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20221020	20221005
445588549	35621 0 64	195536 788 1848	`T:ref`	`gcc_-march=native_-mtune=native_-O2_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20221020	20221005
547291311	35836 0 64	195328 788 1848	`T:ref`	`gcc_-march=native_-mtune=native_-O_-fomit-frame-pointer_-fwrapv_-fPIC_-fPIE`	20221020	20221005

Compiler output

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

encrypt.c: In file included from encrypt.c:18:
encrypt.c: In file included from /usr/lib/llvm-11/lib/clang/11.0.1/include/x86intrin.h:13:
encrypt.c: /usr/lib/llvm-11/lib/clang/11.0.1/include/ia32intrin.h:210:16: error: expected identifier or '('
encrypt.c: unsigned int D;
encrypt.c: ^
encrypt.c: ./param.h:28:11: note: expanded from macro 'D'
encrypt.c: #define D 256
encrypt.c: ^
encrypt.c: In file included from encrypt.c:18:
encrypt.c: In file included from /usr/lib/llvm-11/lib/clang/11.0.1/include/x86intrin.h:13:
encrypt.c: /usr/lib/llvm-11/lib/clang/11.0.1/include/ia32intrin.h:211:20: error: cannot take the address of an rvalue of type 'int'
encrypt.c: __builtin_memcpy(&D, &__A, sizeof(__A));
encrypt.c: ^~
encrypt.c: /usr/lib/llvm-11/lib/clang/11.0.1/include/ia32intrin.h:227:22: error: expected identifier or '('
encrypt.c: unsigned long long D;
encrypt.c: ^
encrypt.c: ./param.h:28:11: note: expanded from macro 'D'
encrypt.c: #define D 256
encrypt.c: ^
encrypt.c: In file included from encrypt.c:18:
encrypt.c: In file included from /usr/lib/llvm-11/lib/clang/11.0.1/include/x86intrin.h:13:
encrypt.c: /usr/lib/llvm-11/lib/clang/11.0.1/include/ia32intrin.h:228:20: error: cannot take the address of an rvalue of type 'int'
encrypt.c: __builtin_memcpy(&D, &__A, sizeof(__A));
encrypt.c: ^~
encrypt.c: /usr/lib/llvm-11/lib/clang/11.0.1/include/ia32intrin.h:244:9: error: expected identifier or '('
encrypt.c: ...

Number of similar (compiler,implementation) pairs: 5, 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
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: /usr/bin/ld: libcrypto_kem_titaniumccamed.a(sampler.o): in function `sampler_zq':
try.c: sampler.c:(.text+0x...): undefined reference to `load_24'
try.c: /usr/bin/ld: 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: clang -march=native -O -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE

try.c: /usr/bin/ld: libcrypto_kem_titaniumccamed.a(encrypt.o): in function `crypto_encrypt_keypair':
try.c: encrypt.c:(.text+0x...): undefined reference to `barrett_4q2'
try.c: /usr/bin/ld: encrypt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccamed.a(encrypt.o): in function `crypto_encrypt':
try.c: encrypt.c:(.text+0x...): undefined reference to `barrett_4q2'
try.c: /usr/bin/ld: encrypt.c:(.text+0x...): undefined reference to `barrett_4q2'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccamed.a(encrypt.o): in function `crypto_encrypt_open':
try.c: encrypt.c:(.text+0x...): undefined reference to `barrett_4q2'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccamed.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: libcrypto_kem_titaniumccamed.a(ntt.o): in function `ntt_core':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_2q2'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccamed.a(ntt.o): in function `ntt_butterfly_1280_2048':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_16q'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccamed.a(ntt.o): in function `intt_core':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_2q2'
try.c: /usr/bin/ld: ntt.c:(.text+0x...): undefined reference to `barrett_2q2'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccamed.a(ntt.o): in function `ntt_butterfly_2048_768':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_16q'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccamed.a(ntt.o): in function `ntt_butterfly_512_1792':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccamed.a(ntt.o): in function `ntt_butterfly_1280_1792':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_16q'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccamed.a(ntt.o): in function `ntt_butterfly_1792_1792_inv':
try.c: ...

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

Compiler	Implementations
clang -march=native -O -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE	T:opt

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: libcrypto_kem_titaniumccamed.a(encrypt.o): in function `crypto_encrypt_keypair':
try.c: encrypt.c:(.text+0x...): undefined reference to `barrett_4q2'
try.c: /usr/bin/ld: encrypt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccamed.a(encrypt.o): in function `crypto_encrypt':
try.c: encrypt.c:(.text+0x...): undefined reference to `barrett_4q2'
try.c: /usr/bin/ld: encrypt.c:(.text+0x...): undefined reference to `barrett_4q2'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccamed.a(encrypt.o): in function `crypto_encrypt_open':
try.c: encrypt.c:(.text+0x...): undefined reference to `barrett_4q2'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccamed.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: libcrypto_kem_titaniumccamed.a(ntt.o): in function `ntt_butterfly_1280_2048':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_16q'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccamed.a(ntt.o): in function `ntt_butterfly_2048_768':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_16q'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccamed.a(ntt.o): in function `ntt_butterfly_512_1792':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_4q'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccamed.a(ntt.o): in function `ntt_butterfly_1280_1792':
try.c: ntt.c:(.text+0x...): undefined reference to `barrett_16q'
try.c: /usr/bin/ld: libcrypto_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: /usr/bin/ld: libcrypto_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: /usr/bin/ld: libcrypto_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: clang -march=native -O -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE

try.c: /usr/bin/ld: libcrypto_kem_titaniumccamed.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: libcrypto_kem_titaniumccamed.a(pack.o): in function `poly_encode_c2':
try.c: pack.c:(.text+0x...): undefined reference to `store_8'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccamed.a(pack.o): in function `poly_decode_c2':
try.c: pack.c:(.text+0x...): undefined reference to `load_8'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccamed.a(sampler.o): in function `sampler_zb':
try.c: sampler.c:(.text+0x...): undefined reference to `load_8'
try.c: /usr/bin/ld: sampler.c:(.text+0x...): undefined reference to `load_8'
try.c: /usr/bin/ld: sampler.c:(.text+0x...): undefined reference to `load_8'
try.c: /usr/bin/ld: sampler.c:(.text+0x...): undefined reference to `load_8'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccamed.a(sampler.o): in function `sampler_zq':
try.c: sampler.c:(.text+0x...): undefined reference to `load_24'
try.c: /usr/bin/ld: libcrypto_kem_titaniumccamed.a(sampler.o): in function `sampler_binomial':
try.c: sampler.c:(.text+0x...): undefined reference to `load_8'
try.c: clang: error: linker command failed with exit code 1 (use -v to see invocation)

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

Compiler	Implementations
clang -march=native -O -fomit-frame-pointer -fwrapv -Qunused-arguments -fPIC -fPIE	T:ref

Compiler output

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

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

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