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In the lib25519 distribution,
`command/lib25519-speed.c` measures lib25519;
`speedcomparison/openssl/openssl25519speed.c` measures OpenSSL;
`benchmarks/*-*` is the output of `lib25519-speed` on various machines;
`speedcomparison/openssl/*-*` is the output of `openssl25519speed` on various machines;
and `autogen/md-speed` extracts the table from those outputs.
Microarchitectures in the table are listed in reverse chronological order of their introduction.
The table reports only median cycle counts;
see the full output files
for differences between multiple measurements and the median.
The table reports the following major operations:
* "X key": Generating an X25519 public key and secret key.
This is `dh_x25519_keypair selected 32` in the `lib25519-speed` output
(`lib25519_dh_keypair` in the stable API).
For OpenSSL,
this is `x25519-keygen-main` in the `openssl25519speed` output,
measuring the cost of `EVP_PKEY_Q_keygen(0,0,"X25519")`.
This does not include small OpenSSL overheads for converting the public key and secret key to storage format.
* "X dh":
Generating an X25519 shared secret.
This is `dh_x25519 selected 32` in the `lib25519-speed` output
(`lib25519_dh` in the stable API).
For OpenSSL,
this is `x25519-dh-main` in the `openssl25519speed` output,
measuring the cost of `EVP_PKEY_derive`
(as in OpenSSL's speed-testing utility).
This does not include the cost of `EVP_PKEY_new_raw_public_key`
to decode the public key (8376 cycles on Tiger Lake),
`EVP_PKEY_CTX_new` and `EVP_PKEY_derive_init` and `EVP_PKEY_derive_set_peer` for initialization
(together 7660 cycles on Tiger Lake),
and
`EVP_PKEY_new_raw_private_key` to decode the secret key if it is not decoded already
(113498 cycles on Tiger Lake).
* "X batch":
Cost _per secret_ of generating 16 separate shared secrets.
This is `nPbatch_montgomery25519 selected 16` in the `lib25519-speed` output _divided by 16_.
* "Ed key": Generating an Ed25519 public key and secret key.
This is `sign_ed25519_keypair selected 32` in the `lib25519-speed` output
(`lib25519_sign_keypair` in the stable API),
For OpenSSL,
this is `ed25519-keygen-main` in the `openssl25519speed` output,
measuring the cost of `EVP_PKEY_Q_keygen(0,0,"ED25519")`.
This does not include small OpenSSL overheads for converting the public key and secret key to storage format.
* "Ed sign": Generating an Ed25519 signature of a 59-byte message.
This is `sign_ed25519 selected 59` in the `lib25519-speed` output
(`lib25519_sign` in the stable API).
For OpenSSL,
this is `ed25519-sign-main` in the `openssl25519speed` output,
measuring the cost of `EVP_DigestSign`
(as in OpenSSL's speed-testing utility).
This does not include the cost of
`EVP_MD_CTX_new` and
`EVP_DigestSignInit`
(together 6258 cycles on Tiger Lake),
and `EVP_PKEY_new_raw_private_key` to decode the secret key if it is not decoded already
(116808 cycles on Tiger Lake).
* "Ed verif": Verifying an Ed25519 signature and recovering a 59-byte message.
This is `sign_ed25519_open selected 59` in the `lib25519-speed` output
(`lib25519_sign_open` in the stable API).
For OpenSSL,
this is `ed25519-verify-main` in the `openssl25519speed` output,
measuring the cost of `EVP_DigestVerify`
(as in OpenSSL's speed-testing utility).
This does not include the cost of
`EVP_MD_CTX_new` and
`EVP_DigestVerifyInit`
(together 6054 cycles on Tiger Lake),
and `EVP_PKEY_new_raw_public_key`
to decode the public key being used for verification
(9560 cycles on Tiger Lake).
* "Ed MSM": Cost _per point_ of multi-scalar multiplication with 16 points and 16 full-size scalars.
This is `multiscalar_ed25519 selected 16` in the `lib25519-speed` output _divided by 16_.