mirror of
https://source.quilibrium.com/quilibrium/ceremonyclient.git
synced 2024-12-27 00:55:17 +00:00
Add poanetwork/vdf code
From commit 719925d https://github.com/poanetwork/vdf
This commit is contained in:
Agost Biro
parent
58456c1057
commit
7a29f65100
3
.gitignore
vendored
3
.gitignore
vendored
@ -8,3 +8,6 @@ ceremony-client
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.env.signers
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.env.signers
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.task
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.task
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node-tmp-*
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node-tmp-*
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# Rust
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target
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701
Cargo.lock
generated
Normal file
701
Cargo.lock
generated
Normal file
@ -0,0 +1,701 @@
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# This file is automatically @generated by Cargo.
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# It is not intended for manual editing.
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version = 3
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[[package]]
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||||||
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name = "aho-corasick"
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||||||
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version = "1.1.3"
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||||||
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source = "registry+https://github.com/rust-lang/crates.io-index"
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||||||
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checksum = "8e60d3430d3a69478ad0993f19238d2df97c507009a52b3c10addcd7f6bcb916"
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dependencies = [
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"memchr",
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]
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||||||
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[[package]]
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||||||
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name = "anes"
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||||||
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version = "0.1.6"
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||||||
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source = "registry+https://github.com/rust-lang/crates.io-index"
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checksum = "4b46cbb362ab8752921c97e041f5e366ee6297bd428a31275b9fcf1e380f7299"
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[[package]]
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name = "anstyle"
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||||||
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version = "1.0.7"
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||||||
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source = "registry+https://github.com/rust-lang/crates.io-index"
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||||||
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checksum = "038dfcf04a5feb68e9c60b21c9625a54c2c0616e79b72b0fd87075a056ae1d1b"
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[[package]]
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||||||
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name = "autocfg"
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||||||
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version = "1.3.0"
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||||||
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source = "registry+https://github.com/rust-lang/crates.io-index"
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checksum = "0c4b4d0bd25bd0b74681c0ad21497610ce1b7c91b1022cd21c80c6fbdd9476b0"
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[[package]]
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name = "bit-vec"
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version = "0.5.1"
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source = "registry+https://github.com/rust-lang/crates.io-index"
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checksum = "f59bbe95d4e52a6398ec21238d31577f2b28a9d86807f06ca59d191d8440d0bb"
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[[package]]
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name = "block-buffer"
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version = "0.7.3"
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source = "registry+https://github.com/rust-lang/crates.io-index"
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||||||
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checksum = "c0940dc441f31689269e10ac70eb1002a3a1d3ad1390e030043662eb7fe4688b"
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dependencies = [
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"block-padding",
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"byte-tools",
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"byteorder",
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"generic-array",
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]
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[[package]]
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name = "block-padding"
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version = "0.1.5"
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source = "registry+https://github.com/rust-lang/crates.io-index"
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checksum = "fa79dedbb091f449f1f39e53edf88d5dbe95f895dae6135a8d7b881fb5af73f5"
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dependencies = [
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"byte-tools",
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]
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[[package]]
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name = "bumpalo"
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version = "3.16.0"
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source = "registry+https://github.com/rust-lang/crates.io-index"
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checksum = "79296716171880943b8470b5f8d03aa55eb2e645a4874bdbb28adb49162e012c"
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[[package]]
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||||||
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name = "byte-tools"
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version = "0.3.1"
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source = "registry+https://github.com/rust-lang/crates.io-index"
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checksum = "e3b5ca7a04898ad4bcd41c90c5285445ff5b791899bb1b0abdd2a2aa791211d7"
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[[package]]
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name = "byteorder"
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version = "1.5.0"
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source = "registry+https://github.com/rust-lang/crates.io-index"
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checksum = "1fd0f2584146f6f2ef48085050886acf353beff7305ebd1ae69500e27c67f64b"
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[[package]]
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name = "cast"
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version = "0.3.0"
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source = "registry+https://github.com/rust-lang/crates.io-index"
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checksum = "37b2a672a2cb129a2e41c10b1224bb368f9f37a2b16b612598138befd7b37eb5"
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[[package]]
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name = "cfg-if"
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version = "1.0.0"
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source = "registry+https://github.com/rust-lang/crates.io-index"
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checksum = "baf1de4339761588bc0619e3cbc0120ee582ebb74b53b4efbf79117bd2da40fd"
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[[package]]
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name = "ciborium"
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version = "0.2.2"
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source = "registry+https://github.com/rust-lang/crates.io-index"
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checksum = "42e69ffd6f0917f5c029256a24d0161db17cea3997d185db0d35926308770f0e"
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dependencies = [
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"ciborium-io",
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"ciborium-ll",
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"serde",
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]
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[[package]]
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name = "ciborium-io"
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version = "0.2.2"
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source = "registry+https://github.com/rust-lang/crates.io-index"
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|
checksum = "05afea1e0a06c9be33d539b876f1ce3692f4afea2cb41f740e7743225ed1c757"
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|
[[package]]
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|
name = "ciborium-ll"
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|
version = "0.2.2"
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||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
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|
checksum = "57663b653d948a338bfb3eeba9bb2fd5fcfaecb9e199e87e1eda4d9e8b240fd9"
|
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|
dependencies = [
|
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|
"ciborium-io",
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|
"half",
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]
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[[package]]
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name = "clap"
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version = "4.5.4"
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source = "registry+https://github.com/rust-lang/crates.io-index"
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|
checksum = "90bc066a67923782aa8515dbaea16946c5bcc5addbd668bb80af688e53e548a0"
|
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|
dependencies = [
|
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|
"clap_builder",
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|
]
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[[package]]
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name = "clap_builder"
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||||||
|
version = "4.5.2"
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|
source = "registry+https://github.com/rust-lang/crates.io-index"
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||||||
|
checksum = "ae129e2e766ae0ec03484e609954119f123cc1fe650337e155d03b022f24f7b4"
|
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|
dependencies = [
|
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|
"anstyle",
|
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"clap_lex",
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]
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[[package]]
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|
name = "clap_lex"
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|
version = "0.7.0"
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||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "98cc8fbded0c607b7ba9dd60cd98df59af97e84d24e49c8557331cfc26d301ce"
|
||||||
|
|
||||||
|
[[package]]
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||||||
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name = "classgroup"
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||||||
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version = "0.1.0"
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|
dependencies = [
|
||||||
|
"criterion",
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|
"libc",
|
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|
"num-traits",
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|
]
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[[package]]
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||||||
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name = "criterion"
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||||||
|
version = "0.5.1"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "f2b12d017a929603d80db1831cd3a24082f8137ce19c69e6447f54f5fc8d692f"
|
||||||
|
dependencies = [
|
||||||
|
"anes",
|
||||||
|
"cast",
|
||||||
|
"ciborium",
|
||||||
|
"clap",
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||||||
|
"criterion-plot",
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"is-terminal",
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"itertools",
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"num-traits",
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"once_cell",
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"oorandom",
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|
"plotters",
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"rayon",
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|
"regex",
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"serde",
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|
"serde_derive",
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|
"serde_json",
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"tinytemplate",
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|
"walkdir",
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|
]
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|
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[[package]]
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|
name = "criterion-plot"
|
||||||
|
version = "0.5.0"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "6b50826342786a51a89e2da3a28f1c32b06e387201bc2d19791f622c673706b1"
|
||||||
|
dependencies = [
|
||||||
|
"cast",
|
||||||
|
"itertools",
|
||||||
|
]
|
||||||
|
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[[package]]
|
||||||
|
name = "crossbeam-deque"
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||||||
|
version = "0.8.5"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "613f8cc01fe9cf1a3eb3d7f488fd2fa8388403e97039e2f73692932e291a770d"
|
||||||
|
dependencies = [
|
||||||
|
"crossbeam-epoch",
|
||||||
|
"crossbeam-utils",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "crossbeam-epoch"
|
||||||
|
version = "0.9.18"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "5b82ac4a3c2ca9c3460964f020e1402edd5753411d7737aa39c3714ad1b5420e"
|
||||||
|
dependencies = [
|
||||||
|
"crossbeam-utils",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "crossbeam-utils"
|
||||||
|
version = "0.8.20"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "22ec99545bb0ed0ea7bb9b8e1e9122ea386ff8a48c0922e43f36d45ab09e0e80"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "crunchy"
|
||||||
|
version = "0.2.2"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "7a81dae078cea95a014a339291cec439d2f232ebe854a9d672b796c6afafa9b7"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "digest"
|
||||||
|
version = "0.8.1"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "f3d0c8c8752312f9713efd397ff63acb9f85585afbf179282e720e7704954dd5"
|
||||||
|
dependencies = [
|
||||||
|
"generic-array",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "either"
|
||||||
|
version = "1.12.0"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "3dca9240753cf90908d7e4aac30f630662b02aebaa1b58a3cadabdb23385b58b"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "fake-simd"
|
||||||
|
version = "0.1.2"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "e88a8acf291dafb59c2d96e8f59828f3838bb1a70398823ade51a84de6a6deed"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "generic-array"
|
||||||
|
version = "0.12.4"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "ffdf9f34f1447443d37393cc6c2b8313aebddcd96906caf34e54c68d8e57d7bd"
|
||||||
|
dependencies = [
|
||||||
|
"typenum",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "half"
|
||||||
|
version = "2.4.1"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "6dd08c532ae367adf81c312a4580bc67f1d0fe8bc9c460520283f4c0ff277888"
|
||||||
|
dependencies = [
|
||||||
|
"cfg-if",
|
||||||
|
"crunchy",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "hermit-abi"
|
||||||
|
version = "0.3.9"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "d231dfb89cfffdbc30e7fc41579ed6066ad03abda9e567ccafae602b97ec5024"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "hex"
|
||||||
|
version = "0.3.2"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "805026a5d0141ffc30abb3be3173848ad46a1b1664fe632428479619a3644d77"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "is-terminal"
|
||||||
|
version = "0.4.12"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "f23ff5ef2b80d608d61efee834934d862cd92461afc0560dedf493e4c033738b"
|
||||||
|
dependencies = [
|
||||||
|
"hermit-abi",
|
||||||
|
"libc",
|
||||||
|
"windows-sys",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "itertools"
|
||||||
|
version = "0.10.5"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "b0fd2260e829bddf4cb6ea802289de2f86d6a7a690192fbe91b3f46e0f2c8473"
|
||||||
|
dependencies = [
|
||||||
|
"either",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "itoa"
|
||||||
|
version = "1.0.11"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "49f1f14873335454500d59611f1cf4a4b0f786f9ac11f4312a78e4cf2566695b"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "js-sys"
|
||||||
|
version = "0.3.69"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "29c15563dc2726973df627357ce0c9ddddbea194836909d655df6a75d2cf296d"
|
||||||
|
dependencies = [
|
||||||
|
"wasm-bindgen",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "libc"
|
||||||
|
version = "0.2.155"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "97b3888a4aecf77e811145cadf6eef5901f4782c53886191b2f693f24761847c"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "log"
|
||||||
|
version = "0.4.21"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "90ed8c1e510134f979dbc4f070f87d4313098b704861a105fe34231c70a3901c"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "memchr"
|
||||||
|
version = "2.7.2"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "6c8640c5d730cb13ebd907d8d04b52f55ac9a2eec55b440c8892f40d56c76c1d"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "num-traits"
|
||||||
|
version = "0.2.19"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "071dfc062690e90b734c0b2273ce72ad0ffa95f0c74596bc250dcfd960262841"
|
||||||
|
dependencies = [
|
||||||
|
"autocfg",
|
||||||
|
]
|
||||||
|
|
||||||
|
[[package]]
|
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version = "0.52.5"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "db3c2bf3d13d5b658be73463284eaf12830ac9a26a90c717b7f771dfe97487bf"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "windows_x86_64_gnu"
|
||||||
|
version = "0.52.5"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "4e4246f76bdeff09eb48875a0fd3e2af6aada79d409d33011886d3e1581517d9"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "windows_x86_64_gnullvm"
|
||||||
|
version = "0.52.5"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "852298e482cd67c356ddd9570386e2862b5673c85bd5f88df9ab6802b334c596"
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "windows_x86_64_msvc"
|
||||||
|
version = "0.52.5"
|
||||||
|
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||||
|
checksum = "bec47e5bfd1bff0eeaf6d8b485cc1074891a197ab4225d504cb7a1ab88b02bf0"
|
||||||
24
Cargo.toml
Normal file
24
Cargo.toml
Normal file
@ -0,0 +1,24 @@
|
|||||||
|
# Copyright 2018 Chia Network Inc and POA Networks Ltd.
|
||||||
|
#
|
||||||
|
# Licensed under the Apache License, Version 2.0 (the "License");
|
||||||
|
# you may not use this file except in compliance with the License.
|
||||||
|
# You may obtain a copy of the License at
|
||||||
|
#
|
||||||
|
# http://www.apache.org/licenses/LICENSE-2.0
|
||||||
|
#
|
||||||
|
# Unless required by applicable law or agreed to in writing, software
|
||||||
|
# distributed under the License is distributed on an "AS IS" BASIS,
|
||||||
|
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||||
|
# See the License for the specific language governing permissions and
|
||||||
|
# and limitations under the License.
|
||||||
|
[workspace]
|
||||||
|
members = [
|
||||||
|
"crates/vdf",
|
||||||
|
"crates/classgroup",
|
||||||
|
]
|
||||||
|
|
||||||
|
[profile.release]
|
||||||
|
rpath = true
|
||||||
|
lto = true
|
||||||
|
debug = false
|
||||||
|
# panic = 'abort'
|
||||||
34
crates/classgroup/Cargo.toml
Normal file
34
crates/classgroup/Cargo.toml
Normal file
@ -0,0 +1,34 @@
|
|||||||
|
# Copyright 2018 POA Networks Ltd.
|
||||||
|
#
|
||||||
|
# Licensed under the Apache License, Version 2.0 (the "License");
|
||||||
|
# you may not use this file except in compliance with the License.
|
||||||
|
# You may obtain a copy of the License at
|
||||||
|
#
|
||||||
|
# http://www.apache.org/licenses/LICENSE-2.0
|
||||||
|
#
|
||||||
|
# Unless required by applicable law or agreed to in writing, software
|
||||||
|
# distributed under the License is distributed on an "AS IS" BASIS,
|
||||||
|
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||||
|
# See the License for the specific language governing permissions and
|
||||||
|
# and limitations under the License.
|
||||||
|
[package]
|
||||||
|
name = "classgroup"
|
||||||
|
version = "0.1.0"
|
||||||
|
authors = ["Demi M. Obenour <demiobenour@gmail.com>"]
|
||||||
|
description = """An implementation of class groups in Rust. Uses GMP for arithmetic."""
|
||||||
|
keywords = ["classgroup", "vdf"]
|
||||||
|
repository = "https://github.com/poanetwork/vdf"
|
||||||
|
license = "Apache-2.0"
|
||||||
|
edition = "2018"
|
||||||
|
|
||||||
|
[dependencies]
|
||||||
|
num-traits = "0.2"
|
||||||
|
libc = "0.2"
|
||||||
|
|
||||||
|
[dev-dependencies]
|
||||||
|
criterion = ">=0.2"
|
||||||
|
|
||||||
|
[[bench]]
|
||||||
|
name = "classgroup-bench"
|
||||||
|
harness = false
|
||||||
|
path = "bench/bench.rs"
|
||||||
66
crates/classgroup/bench/bench.rs
Normal file
66
crates/classgroup/bench/bench.rs
Normal file
@ -0,0 +1,66 @@
|
|||||||
|
// Copyright 2018 POA Networks Ltd.
|
||||||
|
//
|
||||||
|
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||||
|
// you may not use this file except in compliance with the License.
|
||||||
|
// You may obtain a copy of the License at
|
||||||
|
//
|
||||||
|
// http://www.apache.org/licenses/LICENSE-2.0
|
||||||
|
//
|
||||||
|
// Unless required by applicable law or agreed to in writing, software
|
||||||
|
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||||
|
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||||
|
// See the License for the specific language governing permissions and
|
||||||
|
// limitations under the License.
|
||||||
|
|
||||||
|
#[macro_use]
|
||||||
|
extern crate criterion;
|
||||||
|
|
||||||
|
use classgroup::{gmp_classgroup::GmpClassGroup, ClassGroup};
|
||||||
|
use criterion::Criterion;
|
||||||
|
use gmp::mpz::Mpz;
|
||||||
|
use std::str::FromStr;
|
||||||
|
|
||||||
|
fn bench_square(c: &mut Criterion) {
|
||||||
|
for _ in 0..2 {
|
||||||
|
let m_2048 = -Mpz::from_str(
|
||||||
|
"201493927071865251625903550712920535753645598483515670853547009\
|
||||||
|
878440933309489362800393797428711071833308081461824159206915864\
|
||||||
|
150805748296170245037221957772328044276705571745811271212292422\
|
||||||
|
075849739248257870371300001313586036515879618764093772248760562\
|
||||||
|
386804073478433157526816295216137723803793411828867470089409596\
|
||||||
|
238958950007370719325959579892866588928887249912429688364409867\
|
||||||
|
895510817680171869190054122881274299350947669820596157115994418\
|
||||||
|
034091728887584373727555384075665624624856766441009974642693066\
|
||||||
|
751400054217209981490667208950669417773785631693879782993019167\
|
||||||
|
69407006303085854796535778826115224633447713584423",
|
||||||
|
)
|
||||||
|
.unwrap();
|
||||||
|
|
||||||
|
let m_1024 = -Mpz::from_str(
|
||||||
|
"-11208471744389096429663063172516742066731683613191418514476174383781\
|
||||||
|
682509882427394963852743081347678693241523614532942268295868231081182\
|
||||||
|
819214054220080323345750407342623884342617809879459211722505867733607\
|
||||||
|
400509994975706778681543998242335468203860240586171413971485860382901\
|
||||||
|
6409314686266660248501773529803183",
|
||||||
|
)
|
||||||
|
.unwrap();
|
||||||
|
let group_1024 = GmpClassGroup::generator_for_discriminant(m_1024);
|
||||||
|
let group_2048 = GmpClassGroup::generator_for_discriminant(m_2048);
|
||||||
|
let (group_1024_clone, group_2048_clone) = (group_1024.clone(), group_2048.clone());
|
||||||
|
c.bench_function("square 1024", move |b| {
|
||||||
|
b.iter(|| group_1024_clone.clone().square())
|
||||||
|
});
|
||||||
|
c.bench_function("multiply 1024", move |b| {
|
||||||
|
b.iter(|| &group_1024 * &group_1024)
|
||||||
|
});
|
||||||
|
c.bench_function("square 2048", move |b| {
|
||||||
|
b.iter(|| group_2048_clone.clone().square())
|
||||||
|
});
|
||||||
|
c.bench_function("multiply 2048", move |b| {
|
||||||
|
b.iter(|| &group_2048 * &group_2048)
|
||||||
|
});
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
criterion_group!(benches, bench_square);
|
||||||
|
criterion_main!(benches);
|
||||||
7
crates/classgroup/src/gmp/ffi.rs
Normal file
7
crates/classgroup/src/gmp/ffi.rs
Normal file
@ -0,0 +1,7 @@
|
|||||||
|
use super::mpz::*;
|
||||||
|
|
||||||
|
#[link(name = "gmp")]
|
||||||
|
extern "C" {
|
||||||
|
pub fn __gmpz_fdiv_q(q: mpz_ptr, n: mpz_srcptr, d: mpz_srcptr);
|
||||||
|
pub fn __gmpz_cdiv_q(q: mpz_ptr, n: mpz_srcptr, d: mpz_srcptr);
|
||||||
|
}
|
||||||
12
crates/classgroup/src/gmp/mod.rs
Normal file
12
crates/classgroup/src/gmp/mod.rs
Normal file
@ -0,0 +1,12 @@
|
|||||||
|
#![warn(deprecated)]
|
||||||
|
#![allow(non_camel_case_types)]
|
||||||
|
|
||||||
|
extern crate libc;
|
||||||
|
extern crate num_traits;
|
||||||
|
|
||||||
|
mod ffi;
|
||||||
|
pub mod mpz;
|
||||||
|
pub mod sign;
|
||||||
|
|
||||||
|
#[cfg(test)]
|
||||||
|
mod test;
|
||||||
1035
crates/classgroup/src/gmp/mpz.rs
Normal file
1035
crates/classgroup/src/gmp/mpz.rs
Normal file
File diff suppressed because it is too large
Load Diff
7
crates/classgroup/src/gmp/sign.rs
Normal file
7
crates/classgroup/src/gmp/sign.rs
Normal file
@ -0,0 +1,7 @@
|
|||||||
|
#[derive(PartialEq, Eq, PartialOrd, Ord, Clone, Copy, Hash, Debug)]
|
||||||
|
pub enum Sign {
|
||||||
|
Negative,
|
||||||
|
Zero,
|
||||||
|
Positive,
|
||||||
|
}
|
||||||
|
|
||||||
582
crates/classgroup/src/gmp/test.rs
Normal file
582
crates/classgroup/src/gmp/test.rs
Normal file
@ -0,0 +1,582 @@
|
|||||||
|
use super::mpz::mp_limb_t;
|
||||||
|
use std;
|
||||||
|
use libc::c_int;
|
||||||
|
|
||||||
|
#[link(name = "gmp")]
|
||||||
|
extern "C" {
|
||||||
|
static __gmp_bits_per_limb: c_int;
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
#[allow(unsafe_code)]
|
||||||
|
fn test_limb_size() {
|
||||||
|
// We are assuming that the limb size is the same as the pointer size.
|
||||||
|
assert_eq!(std::mem::size_of::<mp_limb_t>() * 8,
|
||||||
|
unsafe { __gmp_bits_per_limb as usize });
|
||||||
|
}
|
||||||
|
|
||||||
|
mod mpz {
|
||||||
|
use super::super::mpz::Mpz;
|
||||||
|
use super::super::mpz::ProbabPrimeResult;
|
||||||
|
use super::super::sign::Sign;
|
||||||
|
use std::str::FromStr;
|
||||||
|
use std::convert::{From, Into};
|
||||||
|
use std::{i64, u64};
|
||||||
|
|
||||||
|
use std::hash::{Hash, Hasher};
|
||||||
|
use std::collections::hash_map::DefaultHasher;
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_set() {
|
||||||
|
let mut x: Mpz = From::<i64>::from(1000);
|
||||||
|
let y: Mpz = From::<i64>::from(5000);
|
||||||
|
assert!(x != y);
|
||||||
|
x.set(&y);
|
||||||
|
assert!(x == y);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_set_from_str_radix() {
|
||||||
|
let mut x: Mpz = From::<i64>::from(1000);
|
||||||
|
let y: Mpz = From::<i64>::from(5000);
|
||||||
|
assert!(x != y);
|
||||||
|
assert!(x.set_from_str_radix("5000", 10));
|
||||||
|
assert!(x == y);
|
||||||
|
assert!(!x.set_from_str_radix("aaaa", 2));
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
#[should_panic]
|
||||||
|
fn test_from_str_radix_lower_bound() {
|
||||||
|
let _ = Mpz::from_str_radix("", 1);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
#[should_panic]
|
||||||
|
fn test_from_str_radix_upper_bound() {
|
||||||
|
let _ = Mpz::from_str_radix("", 63);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
#[should_panic]
|
||||||
|
fn test_set_from_str_radix_lower_bound() {
|
||||||
|
let mut x = Mpz::new();
|
||||||
|
x.set_from_str_radix("", 1);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
#[should_panic]
|
||||||
|
fn test_set_from_str_radix_upper_bound() {
|
||||||
|
let mut x = Mpz::new();
|
||||||
|
x.set_from_str_radix("", 63);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_eq() {
|
||||||
|
let x: Mpz = From::<i64>::from(4242142195);
|
||||||
|
let y: Mpz = From::<i64>::from(4242142195);
|
||||||
|
let z: Mpz = From::<i64>::from(4242142196);
|
||||||
|
|
||||||
|
assert!(x == y);
|
||||||
|
assert!(x != z);
|
||||||
|
assert!(y != z);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_ord() {
|
||||||
|
let x: Mpz = FromStr::from_str("40000000000000000000000").unwrap();
|
||||||
|
let y: Mpz = FromStr::from_str("45000000000000000000000").unwrap();
|
||||||
|
let z: Mpz = FromStr::from_str("50000000000000000000000").unwrap();
|
||||||
|
|
||||||
|
assert!(x < y && x < z && y < z);
|
||||||
|
assert!(x <= x && x <= y && x <= z && y <= z);
|
||||||
|
assert!(z > y && z > x && y > x);
|
||||||
|
assert!(z >= z && z >= y && z >= x && y >= x);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
#[should_panic]
|
||||||
|
fn test_div_zero() {
|
||||||
|
let x: Mpz = From::<i64>::from(1);
|
||||||
|
let y = Mpz::new();
|
||||||
|
drop(x / y)
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
#[should_panic]
|
||||||
|
fn test_rem_zero() {
|
||||||
|
let x: Mpz = From::<i64>::from(1);
|
||||||
|
let y = Mpz::new();
|
||||||
|
drop(x % y)
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_div_round() {
|
||||||
|
let x: Mpz = From::<i64>::from(2);
|
||||||
|
let y: Mpz = From::<i64>::from(3);
|
||||||
|
assert!((&x / &y).to_string() == (2i32 / 3).to_string());
|
||||||
|
assert!((&x / -&y).to_string() == (2i32 / -3).to_string());
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_rem() {
|
||||||
|
let x: Mpz = From::<i64>::from(20);
|
||||||
|
let y: Mpz = From::<i64>::from(3);
|
||||||
|
assert!((&x % &y).to_string() == (20i32 % 3).to_string());
|
||||||
|
assert!((&x % 3).to_string() == (20i32 % 3).to_string());
|
||||||
|
assert!((&x % -&y).to_string() == (20i32 % -3).to_string());
|
||||||
|
assert!((-&x % &y).to_string() == (-20i32 % 3).to_string());
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_add() {
|
||||||
|
let x: Mpz = From::<i64>::from(2);
|
||||||
|
let y: Mpz = From::<i64>::from(3);
|
||||||
|
let str5 = 5i32.to_string();
|
||||||
|
assert!((&x + &y).to_string() == str5);
|
||||||
|
assert!((&x + 3).to_string() == str5);
|
||||||
|
assert!((&y + 2).to_string() == str5);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_sub() {
|
||||||
|
let x: Mpz = From::<i64>::from(2);
|
||||||
|
let y: Mpz = From::<i64>::from(3);
|
||||||
|
assert!((&x - &y).to_string() == (-1i32).to_string());
|
||||||
|
assert!((&y - &x).to_string() == 1i32.to_string());
|
||||||
|
assert!((&y - 8).to_string() == (-5i32).to_string());
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_mul() {
|
||||||
|
let x: Mpz = From::<i64>::from(2);
|
||||||
|
let y: Mpz = From::<i64>::from(3);
|
||||||
|
assert!((&x * &y).to_string() == 6i32.to_string());
|
||||||
|
assert!((&x * 3i64).to_string() == 6i32.to_string());
|
||||||
|
assert!((&y * -5i64).to_string() == (-15i32).to_string());
|
||||||
|
// check with values not fitting in 32 bits
|
||||||
|
assert!((&x * 5000000000i64).to_string() == 10000000000i64.to_string());
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_to_str_radix() {
|
||||||
|
let x: Mpz = From::<i64>::from(255);
|
||||||
|
assert!(x.to_str_radix(16) == "ff".to_string());
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_to_string() {
|
||||||
|
let x: Mpz = FromStr::from_str("1234567890").unwrap();
|
||||||
|
assert!(x.to_string() == "1234567890".to_string());
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_invalid_str() {
|
||||||
|
let x: Result<Mpz, _> = FromStr::from_str("foobar");
|
||||||
|
assert!(x.is_err());
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_clone() {
|
||||||
|
let a: Mpz = From::<i64>::from(100);
|
||||||
|
let b = a.clone();
|
||||||
|
let aplusb: Mpz = From::<i64>::from(200);
|
||||||
|
assert!(b == a);
|
||||||
|
assert!(a + b == aplusb);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_from_int() {
|
||||||
|
let x: Mpz = From::<i64>::from(150);
|
||||||
|
assert!(x.to_string() == "150".to_string());
|
||||||
|
assert!(x == FromStr::from_str("150").unwrap());
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_from_slice_u8() {
|
||||||
|
let v: Vec<u8> = vec!(255, 255);
|
||||||
|
let x: Mpz = From::from(&v[..]);
|
||||||
|
assert!(x.to_string() == "65535".to_string());
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_abs() {
|
||||||
|
let x: Mpz = From::<i64>::from(1000);
|
||||||
|
let y: Mpz = From::<i64>::from(-1000);
|
||||||
|
assert!(-&x == y);
|
||||||
|
assert!(x == -&y);
|
||||||
|
assert!(x == y.abs());
|
||||||
|
assert!(x.abs() == y.abs());
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_div_floor() {
|
||||||
|
let two: Mpz = From::<i64>::from(2);
|
||||||
|
let eight: Mpz = From::<i64>::from(8);
|
||||||
|
let minuseight: Mpz = From::<i64>::from(-8);
|
||||||
|
let three: Mpz = From::<i64>::from(3);
|
||||||
|
let minusthree: Mpz = From::<i64>::from(-3);
|
||||||
|
assert_eq!(eight.div_floor(&three), two);
|
||||||
|
assert_eq!(eight.div_floor(&minusthree), minusthree);
|
||||||
|
assert_eq!(minuseight.div_floor(&three), minusthree);
|
||||||
|
assert_eq!(minuseight.div_floor(&minusthree), two);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_mod_floor() {
|
||||||
|
let one: Mpz = From::<i64>::from(1);
|
||||||
|
let minusone: Mpz = From::<i64>::from(-1);
|
||||||
|
let two: Mpz = From::<i64>::from(2);
|
||||||
|
let minustwo: Mpz = From::<i64>::from(-2);
|
||||||
|
let three: Mpz = From::<i64>::from(3);
|
||||||
|
let minusthree: Mpz = From::<i64>::from(-3);
|
||||||
|
let eight: Mpz = From::<i64>::from(8);
|
||||||
|
let minuseight: Mpz = From::<i64>::from(-8);
|
||||||
|
assert_eq!(eight.mod_floor(&three), two);
|
||||||
|
assert_eq!(eight.mod_floor(&minusthree), minusone);
|
||||||
|
assert_eq!(minuseight.mod_floor(&three), one);
|
||||||
|
assert_eq!(minuseight.mod_floor(&minusthree), minustwo);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_bitand() {
|
||||||
|
let a = 0b1001_0111;
|
||||||
|
let b = 0b1100_0100;
|
||||||
|
let mpza: Mpz = From::<i64>::from(a);
|
||||||
|
let mpzb: Mpz = From::<i64>::from(b);
|
||||||
|
let mpzres: Mpz = From::<i64>::from(a & b);
|
||||||
|
assert!(mpza & mpzb == mpzres);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_bitor() {
|
||||||
|
let a = 0b1001_0111;
|
||||||
|
let b = 0b1100_0100;
|
||||||
|
let mpza: Mpz = From::<i64>::from(a);
|
||||||
|
let mpzb: Mpz = From::<i64>::from(b);
|
||||||
|
let mpzres: Mpz = From::<i64>::from(a | b);
|
||||||
|
assert!(mpza | mpzb == mpzres);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_bitxor() {
|
||||||
|
let a = 0b1001_0111;
|
||||||
|
let b = 0b1100_0100;
|
||||||
|
let mpza: Mpz = From::<i64>::from(a);
|
||||||
|
let mpzb: Mpz = From::<i64>::from(b);
|
||||||
|
let mpzres: Mpz = From::<i64>::from(a ^ b);
|
||||||
|
assert!(mpza ^ mpzb == mpzres);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_shifts() {
|
||||||
|
let i = 227;
|
||||||
|
let j: Mpz = From::<i64>::from(i);
|
||||||
|
assert!((i << 4).to_string() == (&j << 4).to_string());
|
||||||
|
assert!((-i << 4).to_string() == (-&j << 4).to_string());
|
||||||
|
assert!((i >> 4).to_string() == (&j >> 4).to_string());
|
||||||
|
assert!((-i >> 4).to_string() == (-&j >> 4).to_string());
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_compl() {
|
||||||
|
let a: Mpz = From::<i64>::from(13);
|
||||||
|
let b: Mpz = From::<i64>::from(-442);
|
||||||
|
assert!(a.compl().to_string() == (!13i32).to_string());
|
||||||
|
assert!(b.compl().to_string() == (!-442i32).to_string());
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_pow() {
|
||||||
|
let a: Mpz = From::<i64>::from(2);
|
||||||
|
let b: Mpz = From::<i64>::from(8);
|
||||||
|
assert!(a.pow(3) == b);
|
||||||
|
assert!(Mpz::ui_pow_ui(2, 3) == b);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_powm() {
|
||||||
|
let a: Mpz = From::<i64>::from(13);
|
||||||
|
let b: Mpz = From::<i64>::from(7);
|
||||||
|
let p: Mpz = From::<i64>::from(19);
|
||||||
|
let c: Mpz = From::<i64>::from(10);
|
||||||
|
assert!(a.powm(&b, &p) == c);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_powm_sec() {
|
||||||
|
let a: Mpz = From::<i64>::from(13);
|
||||||
|
let b: Mpz = From::<i64>::from(7);
|
||||||
|
let p: Mpz = From::<i64>::from(19);
|
||||||
|
let c: Mpz = From::<i64>::from(10);
|
||||||
|
assert!(a.powm_sec(&b, &p) == c);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_popcount() {
|
||||||
|
assert_eq!(Mpz::from_str_radix("1010010011", 2).unwrap().popcount(), 5);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_hamdist() {
|
||||||
|
let a: Mpz = From::<i64>::from(0b1011_0001);
|
||||||
|
let b: Mpz = From::<i64>::from(0b0010_1011);
|
||||||
|
assert!(a.hamdist(&b) == 4);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_bit_length() {
|
||||||
|
let a: Mpz = From::<i64>::from(0b1011_0000_0001_0000);
|
||||||
|
let b: Mpz = From::<i64>::from(0b101);
|
||||||
|
assert!(a.bit_length() == 16);
|
||||||
|
assert!(b.bit_length() == 3);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_probab_prime() {
|
||||||
|
let prime: Mpz = From::<i64>::from(2);
|
||||||
|
assert!(prime.probab_prime(15) == ProbabPrimeResult::Prime);
|
||||||
|
|
||||||
|
let not_prime: Mpz = From::<i64>::from(4);
|
||||||
|
assert!(not_prime.probab_prime(15) == ProbabPrimeResult::NotPrime);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_nextprime() {
|
||||||
|
let a: Mpz = From::<i64>::from(123456);
|
||||||
|
let b: Mpz = From::<i64>::from(123457);
|
||||||
|
assert!(a.nextprime() == b);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_gcd() {
|
||||||
|
let zero: Mpz = From::<i64>::from(0);
|
||||||
|
let three: Mpz = From::<i64>::from(3);
|
||||||
|
let six: Mpz = From::<i64>::from(6);
|
||||||
|
let eighteen: Mpz = From::<i64>::from(18);
|
||||||
|
let twentyfour: Mpz = From::<i64>::from(24);
|
||||||
|
assert!(zero.gcd(&zero) == zero);
|
||||||
|
assert!(three.gcd(&six) == three);
|
||||||
|
assert!(eighteen.gcd(&twentyfour) == six);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_gcdext() {
|
||||||
|
let six: Mpz = From::<i64>::from(6);
|
||||||
|
let eighteen: Mpz = From::<i64>::from(18);
|
||||||
|
let twentyfour: Mpz = From::<i64>::from(24);
|
||||||
|
let (g, s, t) = eighteen.gcdext(&twentyfour);
|
||||||
|
assert!(g == six);
|
||||||
|
assert!(g == s*eighteen + t*twentyfour);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_lcm() {
|
||||||
|
let zero: Mpz = From::<i64>::from(0);
|
||||||
|
let three: Mpz = From::<i64>::from(3);
|
||||||
|
let five: Mpz = From::<i64>::from(5);
|
||||||
|
let six: Mpz = From::<i64>::from(6);
|
||||||
|
let eighteen: Mpz = From::<i64>::from(18);
|
||||||
|
let twentyfour: Mpz = From::<i64>::from(24);
|
||||||
|
let seventytwo: Mpz = From::<i64>::from(72);
|
||||||
|
assert!(zero.lcm(&five) == zero);
|
||||||
|
assert!(five.lcm(&zero) == zero);
|
||||||
|
assert!(three.lcm(&six) == six);
|
||||||
|
assert!(eighteen.lcm(&twentyfour) == seventytwo);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_is_multiple_of() {
|
||||||
|
let two: Mpz = From::<i64>::from(2);
|
||||||
|
let three: Mpz = From::<i64>::from(3);
|
||||||
|
let six: Mpz = From::<i64>::from(6);
|
||||||
|
assert!(six.is_multiple_of(&two));
|
||||||
|
assert!(six.is_multiple_of(&three));
|
||||||
|
assert!(!three.is_multiple_of(&two));
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_modulus() {
|
||||||
|
let minusone: Mpz = From::<i64>::from(-1);
|
||||||
|
let two: Mpz = From::<i64>::from(2);
|
||||||
|
let three: Mpz = From::<i64>::from(3);
|
||||||
|
assert_eq!(two.modulus(&three), two);
|
||||||
|
assert_eq!(minusone.modulus(&three), two);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_invert() {
|
||||||
|
let two: Mpz = From::<i64>::from(2);
|
||||||
|
let three: Mpz = From::<i64>::from(3);
|
||||||
|
let four: Mpz = From::<i64>::from(4);
|
||||||
|
let five: Mpz = From::<i64>::from(5);
|
||||||
|
let eleven: Mpz = From::<i64>::from(11);
|
||||||
|
assert!(three.invert(&eleven) == Some(four.clone()));
|
||||||
|
assert!(four.invert(&eleven) == Some(three.clone()));
|
||||||
|
assert!(two.invert(&five) == Some(three.clone()));
|
||||||
|
assert!(three.invert(&five) == Some(two.clone()));
|
||||||
|
assert!(two.invert(&four).is_none());
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_one() {
|
||||||
|
let onea: Mpz = From::<i64>::from(1);
|
||||||
|
let oneb: Mpz = From::<i64>::from(1);
|
||||||
|
assert!(onea == oneb);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_bit_fiddling() {
|
||||||
|
let mut xs: Mpz = From::<i64>::from(0b1010_1000_0010_0011);
|
||||||
|
assert!(xs.bit_length() == 16);
|
||||||
|
let mut ys = [true, false, true, false,
|
||||||
|
true, false, false, false,
|
||||||
|
false, false, true, false,
|
||||||
|
false, false, true, true];
|
||||||
|
ys.reverse();
|
||||||
|
for i in 0..xs.bit_length() {
|
||||||
|
assert!(xs.tstbit(i) == ys[i]);
|
||||||
|
}
|
||||||
|
xs.setbit(0);
|
||||||
|
ys[0] = true;
|
||||||
|
xs.setbit(3);
|
||||||
|
ys[3] = true;
|
||||||
|
xs.clrbit(1);
|
||||||
|
ys[1] = false;
|
||||||
|
xs.clrbit(5);
|
||||||
|
ys[5] = false;
|
||||||
|
xs.combit(14);
|
||||||
|
ys[14] = !ys[14];
|
||||||
|
xs.combit(15);
|
||||||
|
ys[15] = !ys[15];
|
||||||
|
for i in 0..xs.bit_length() {
|
||||||
|
assert!(xs.tstbit(i) == ys[i]);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_root() {
|
||||||
|
let x: Mpz = From::<i64>::from(123456);
|
||||||
|
let y: Mpz = From::<i64>::from(49);
|
||||||
|
assert!(x.root(3) == y);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_sqrt() {
|
||||||
|
let x: Mpz = From::<i64>::from(567);
|
||||||
|
let y: Mpz = From::<i64>::from(23);
|
||||||
|
assert!(x.sqrt() == y);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_hash_short() {
|
||||||
|
let zero: Mpz = From::<i64>::from(0);
|
||||||
|
let one: Mpz = From::<i64>::from(1);
|
||||||
|
let two = &one + &one;
|
||||||
|
|
||||||
|
let hash = |x : &Mpz| {
|
||||||
|
let mut hasher = DefaultHasher::new();
|
||||||
|
x.hash(&mut hasher);
|
||||||
|
hasher.finish()
|
||||||
|
};
|
||||||
|
|
||||||
|
assert!(hash(&zero) != hash(&one));
|
||||||
|
assert_eq!(hash(&one), hash(&(&two - &one)));
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_hash_long() {
|
||||||
|
let a = Mpz::from_str_radix("348917329847193287498312749187234192387", 10)
|
||||||
|
.unwrap();
|
||||||
|
let b = Mpz::from_str_radix("348917329847193287498312749187234192386", 10)
|
||||||
|
.unwrap();
|
||||||
|
let one: Mpz = From::<i64>::from(1);
|
||||||
|
|
||||||
|
let hash = |x : &Mpz| {
|
||||||
|
let mut hasher = DefaultHasher::new();
|
||||||
|
x.hash(&mut hasher);
|
||||||
|
hasher.finish()
|
||||||
|
};
|
||||||
|
|
||||||
|
assert!(hash(&a) != hash(&b));
|
||||||
|
assert_eq!(hash(&a), hash(&(&b + &one)));
|
||||||
|
assert_eq!(hash(&(&a - &a)), hash(&(&one - &one)));
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_to_vec_u8() {
|
||||||
|
let minus_five: Mpz = From::<i64>::from(-5);
|
||||||
|
let minus_one: Mpz = From::<i64>::from(-1);
|
||||||
|
let zero: Mpz = From::<i64>::from(0);
|
||||||
|
let one: Mpz = From::<i64>::from(1);
|
||||||
|
let five: Mpz = From::<i64>::from(5);
|
||||||
|
let xffff: Mpz = From::<i64>::from(65535);
|
||||||
|
let max_u64: Mpz = From::<u64>::from(u64::MAX);
|
||||||
|
|
||||||
|
assert_eq!(Into::<Vec<u8>>::into(&minus_five), vec!(5u8));
|
||||||
|
assert_eq!(Into::<Vec<u8>>::into(&minus_one), vec!(1u8));
|
||||||
|
assert_eq!(Into::<Vec<u8>>::into(&zero), vec!(0u8));
|
||||||
|
assert_eq!(Into::<Vec<u8>>::into(&one), vec!(1u8));
|
||||||
|
assert_eq!(Into::<Vec<u8>>::into(&five), vec!(5u8));
|
||||||
|
assert_eq!(Into::<Vec<u8>>::into(&xffff), vec!(255u8, 255u8));
|
||||||
|
assert_eq!(Into::<Vec<u8>>::into(&max_u64), vec!(255u8, 255u8, 255u8, 255u8, 255u8, 255u8, 255u8, 255u8));
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_to_u64() {
|
||||||
|
let minus_five: Mpz = From::<i64>::from(-5);
|
||||||
|
let minus_one: Mpz = From::<i64>::from(-1);
|
||||||
|
let zero: Mpz = From::<i64>::from(0);
|
||||||
|
let one: Mpz = From::<i64>::from(1);
|
||||||
|
let five: Mpz = From::<i64>::from(5);
|
||||||
|
let max_u64: Mpz = From::<u64>::from(u64::MAX);
|
||||||
|
|
||||||
|
assert_eq!(Into::<Option<u64>>::into(&minus_five), None);
|
||||||
|
assert_eq!(Into::<Option<u64>>::into(&minus_one), None);
|
||||||
|
assert_eq!(Into::<Option<u64>>::into(&zero), Some(0u64));
|
||||||
|
assert_eq!(Into::<Option<u64>>::into(&one), Some(1u64));
|
||||||
|
assert_eq!(Into::<Option<u64>>::into(&five), Some(5u64));
|
||||||
|
assert_eq!(Into::<Option<u64>>::into(&max_u64), Some(u64::MAX));
|
||||||
|
assert_eq!(Into::<Option<u64>>::into(&(&max_u64 + &one)), None);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_to_i64() {
|
||||||
|
let min_i64: Mpz = From::<i64>::from(i64::MIN);
|
||||||
|
let minus_five: Mpz = From::<i64>::from(-5);
|
||||||
|
let minus_one: Mpz = From::<i64>::from(-1);
|
||||||
|
let zero: Mpz = From::<i64>::from(0);
|
||||||
|
let one: Mpz = From::<i64>::from(1);
|
||||||
|
let five: Mpz = From::<i64>::from(5);
|
||||||
|
let max_i64: Mpz = From::<i64>::from(i64::MAX);
|
||||||
|
|
||||||
|
assert_eq!(Into::<Option<i64>>::into(&(&min_i64 - &one)), None);
|
||||||
|
assert_eq!(Into::<Option<i64>>::into(&min_i64), Some(i64::MIN));
|
||||||
|
assert_eq!(Into::<Option<i64>>::into(&minus_five), Some(-5i64));
|
||||||
|
assert_eq!(Into::<Option<i64>>::into(&minus_one), Some(-1i64));
|
||||||
|
assert_eq!(Into::<Option<i64>>::into(&zero), Some(0i64));
|
||||||
|
assert_eq!(Into::<Option<i64>>::into(&one), Some(1i64));
|
||||||
|
assert_eq!(Into::<Option<i64>>::into(&five), Some(5i64));
|
||||||
|
assert_eq!(Into::<Option<i64>>::into(&max_i64), Some(i64::MAX));
|
||||||
|
assert_eq!(Into::<Option<i64>>::into(&(&max_i64 + &one)), None);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_sign() {
|
||||||
|
let zero: Mpz = From::<i64>::from(0);
|
||||||
|
let five: Mpz = From::<i64>::from(5);
|
||||||
|
let minus_five: Mpz = From::<i64>::from(-5);
|
||||||
|
|
||||||
|
assert_eq!(zero.sign(), Sign::Zero);
|
||||||
|
assert_eq!(five.sign(), Sign::Positive);
|
||||||
|
assert_eq!(minus_five.sign(), Sign::Negative);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn test_format() {
|
||||||
|
let zero = Mpz::zero();
|
||||||
|
assert_eq!(format!("{}", zero), "0");
|
||||||
|
let zero = Mpz::from(-51213);
|
||||||
|
assert_eq!(format!("{}", zero), "-51213");
|
||||||
|
}
|
||||||
|
}
|
||||||
90
crates/classgroup/src/gmp_classgroup/congruence.rs
Normal file
90
crates/classgroup/src/gmp_classgroup/congruence.rs
Normal file
@ -0,0 +1,90 @@
|
|||||||
|
// Copyright 2018 Chia Network Inc and POA Networks Ltd.
|
||||||
|
//
|
||||||
|
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||||
|
// you may not use this file except in compliance with the License.
|
||||||
|
// You may obtain a copy of the License at
|
||||||
|
//
|
||||||
|
// http://www.apache.org/licenses/LICENSE-2.0
|
||||||
|
//
|
||||||
|
// Unless required by applicable law or agreed to in writing, software
|
||||||
|
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||||
|
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||||
|
// See the License for the specific language governing permissions and
|
||||||
|
// limitations under the License.
|
||||||
|
#![forbid(unsafe_code)]
|
||||||
|
use self::ffi::Mpz;
|
||||||
|
use super::ffi;
|
||||||
|
|
||||||
|
/// Stores temporary values for congruence computations, to avoid
|
||||||
|
/// repeated allocations.
|
||||||
|
///
|
||||||
|
/// It is allowed (but inefficient) to generate a fresh `CongruenceContest`
|
||||||
|
/// for each call to `solve_linear_congruence`.
|
||||||
|
///
|
||||||
|
/// `self.solve_linear_congruence` can be called no matter what values
|
||||||
|
/// this struct’s public members hold, so long as they are valid `Mpz` values.
|
||||||
|
/// However, the values of these members after such a call must not be relied
|
||||||
|
/// on.
|
||||||
|
#[derive(Clone, Hash, PartialEq, Eq, PartialOrd, Ord, Debug)]
|
||||||
|
pub struct CongruenceContext {
|
||||||
|
pub g: Mpz,
|
||||||
|
pub d: Mpz,
|
||||||
|
pub q: Mpz,
|
||||||
|
pub r: Mpz,
|
||||||
|
}
|
||||||
|
|
||||||
|
// #[derive(Copy, Clone, Hash, PartialEq, Eq, PartialOrd, Ord, Debug)]
|
||||||
|
// struct NoCongruence;
|
||||||
|
|
||||||
|
impl Default for CongruenceContext {
|
||||||
|
fn default() -> Self {
|
||||||
|
Self {
|
||||||
|
g: Mpz::new(),
|
||||||
|
d: Mpz::new(),
|
||||||
|
q: Mpz::new(),
|
||||||
|
r: Mpz::new(),
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
impl CongruenceContext {
|
||||||
|
/// Solves `a*x = b (mod m)`, storing `x` in `mu`
|
||||||
|
///
|
||||||
|
/// This function may clobber any or all of `self`’s member variables.
|
||||||
|
///
|
||||||
|
/// # Panics
|
||||||
|
///
|
||||||
|
/// Panics if the congruence could not be solved.
|
||||||
|
pub fn solve_linear_congruence(
|
||||||
|
&mut self,
|
||||||
|
mu: &mut Mpz,
|
||||||
|
v: Option<&mut Mpz>,
|
||||||
|
a: &Mpz,
|
||||||
|
b: &Mpz,
|
||||||
|
m: &Mpz,
|
||||||
|
) {
|
||||||
|
ffi::mpz_gcdext(&mut self.g, &mut self.d, mu, a, m);
|
||||||
|
if cfg!(test) {
|
||||||
|
println!(
|
||||||
|
"g = {}, d = {}, e = {}, a = {}, m = {}",
|
||||||
|
self.g, self.d, mu, a, m
|
||||||
|
);
|
||||||
|
}
|
||||||
|
if cfg!(debug_assertions) {
|
||||||
|
ffi::mpz_fdiv_qr(&mut self.q, &mut self.r, b, &self.g);
|
||||||
|
debug_assert!(self.r.is_zero(), "Could not solve the congruence ― did you pass a non-prime or a positive number to the command line tool?!");
|
||||||
|
} else {
|
||||||
|
ffi::mpz_divexact(&mut self.q, b, &self.g)
|
||||||
|
}
|
||||||
|
ffi::mpz_mul(&mut self.r, &self.q, &self.d);
|
||||||
|
ffi::mpz_tdiv_r(mu, &self.r, m);
|
||||||
|
if let Some(v) = v {
|
||||||
|
if cfg!(debug_assertions) {
|
||||||
|
ffi::mpz_fdiv_qr(v, &mut self.r, &m, &self.g);
|
||||||
|
debug_assert!(self.r.is_zero(), "Could not solve the congruence ― did you pass a non-prime or a positive number to the command line tool?!");
|
||||||
|
} else {
|
||||||
|
ffi::mpz_divexact(v, &m, &self.g)
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
340
crates/classgroup/src/gmp_classgroup/ffi.rs
Normal file
340
crates/classgroup/src/gmp_classgroup/ffi.rs
Normal file
@ -0,0 +1,340 @@
|
|||||||
|
// Copyright 2018 POA Networks Ltd.
|
||||||
|
//
|
||||||
|
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||||
|
// you may not use this file except in compliance with the License.
|
||||||
|
// You may obtain a copy of the License at
|
||||||
|
//
|
||||||
|
// http://www.apache.org/licenses/LICENSE-2.0
|
||||||
|
//
|
||||||
|
// Unless required by applicable law or agreed to in writing, software
|
||||||
|
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||||
|
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||||
|
// See the License for the specific language governing permissions and
|
||||||
|
// limitations under the License.
|
||||||
|
|
||||||
|
//! FFI bindings to GMP. This module exists because the `rust-gmp` crate
|
||||||
|
//! is too high-level. High-performance bignum computation requires that
|
||||||
|
//! bignums be modified in-place, so that their storage can be reused.
|
||||||
|
//! Furthermore, the `rust-gmp` crate doesn’t support many operations that
|
||||||
|
//! this library requires.
|
||||||
|
#![allow(unsafe_code)]
|
||||||
|
pub use super::super::gmp::mpz::Mpz;
|
||||||
|
use super::super::gmp::mpz::{mp_bitcnt_t, mp_limb_t};
|
||||||
|
use libc::{c_int, c_long, c_ulong, c_void, size_t};
|
||||||
|
// pub use c_ulong;
|
||||||
|
use std::{mem, usize};
|
||||||
|
// We use the unsafe versions to avoid unecessary allocations.
|
||||||
|
#[link(name = "gmp")]
|
||||||
|
extern "C" {
|
||||||
|
fn __gmpz_gcdext(gcd: *mut Mpz, s: *mut Mpz, t: *mut Mpz, a: *const Mpz, b: *const Mpz);
|
||||||
|
fn __gmpz_gcd(rop: *mut Mpz, op1: *const Mpz, op2: *const Mpz);
|
||||||
|
fn __gmpz_fdiv_qr(q: *mut Mpz, r: *mut Mpz, b: *const Mpz, g: *const Mpz);
|
||||||
|
fn __gmpz_fdiv_q(q: *mut Mpz, n: *const Mpz, d: *const Mpz);
|
||||||
|
fn __gmpz_divexact(q: *mut Mpz, n: *const Mpz, d: *const Mpz);
|
||||||
|
fn __gmpz_tdiv_q(q: *mut Mpz, n: *const Mpz, d: *const Mpz);
|
||||||
|
fn __gmpz_mul(p: *mut Mpz, a: *const Mpz, b: *const Mpz);
|
||||||
|
fn __gmpz_mul_2exp(rop: *mut Mpz, op1: *const Mpz, op2: mp_bitcnt_t);
|
||||||
|
fn __gmpz_sub(rop: *mut Mpz, op1: *const Mpz, op2: *const Mpz);
|
||||||
|
fn __gmpz_import(
|
||||||
|
rop: *mut Mpz,
|
||||||
|
count: size_t,
|
||||||
|
order: c_int,
|
||||||
|
size: size_t,
|
||||||
|
endian: c_int,
|
||||||
|
nails: size_t,
|
||||||
|
op: *const c_void,
|
||||||
|
);
|
||||||
|
fn __gmpz_tdiv_r(r: *mut Mpz, n: *const Mpz, d: *const Mpz);
|
||||||
|
fn __gmpz_sizeinbase(op: &Mpz, base: c_int) -> size_t;
|
||||||
|
fn __gmpz_fdiv_q_ui(rop: *mut Mpz, op1: *const Mpz, op2: c_ulong) -> c_ulong;
|
||||||
|
fn __gmpz_add(rop: *mut Mpz, op1: *const Mpz, op2: *const Mpz);
|
||||||
|
fn __gmpz_add_ui(rop: *mut Mpz, op1: *const Mpz, op2: c_ulong);
|
||||||
|
fn __gmpz_set_ui(rop: &mut Mpz, op: c_ulong);
|
||||||
|
fn __gmpz_set_si(rop: &mut Mpz, op: c_long);
|
||||||
|
fn __gmpz_cdiv_ui(n: &Mpz, d: c_ulong) -> c_ulong;
|
||||||
|
fn __gmpz_fdiv_ui(n: &Mpz, d: c_ulong) -> c_ulong;
|
||||||
|
fn __gmpz_tdiv_ui(n: &Mpz, d: c_ulong) -> c_ulong;
|
||||||
|
fn __gmpz_export(
|
||||||
|
rop: *mut c_void,
|
||||||
|
countp: *mut size_t,
|
||||||
|
order: c_int,
|
||||||
|
size: size_t,
|
||||||
|
endian: c_int,
|
||||||
|
nails: size_t,
|
||||||
|
op: &Mpz,
|
||||||
|
) -> *mut c_void;
|
||||||
|
fn __gmpz_powm(rop: *mut Mpz, base: *const Mpz, exp: *const Mpz, modulus: *const Mpz);
|
||||||
|
}
|
||||||
|
|
||||||
|
// MEGA HACK: rust-gmp doesn’t expose the fields of this struct, so we must define
|
||||||
|
// it ourselves and cast.
|
||||||
|
//
|
||||||
|
// Should be stable though, as only GMP can change it, and doing would break binary compatibility.
|
||||||
|
#[repr(C)]
|
||||||
|
struct MpzStruct {
|
||||||
|
mp_alloc: c_int,
|
||||||
|
mp_size: c_int,
|
||||||
|
mp_d: *mut mp_limb_t,
|
||||||
|
}
|
||||||
|
|
||||||
|
macro_rules! impl_div_ui {
|
||||||
|
($t:ident, $i:ident, $f:expr) => {
|
||||||
|
pub fn $i(n: &Mpz, d: $t) -> $t {
|
||||||
|
use std::$t;
|
||||||
|
let res = unsafe { $f(n, c_ulong::from(d)) };
|
||||||
|
assert!(res <= $t::MAX.into());
|
||||||
|
res as $t
|
||||||
|
}
|
||||||
|
};
|
||||||
|
}
|
||||||
|
|
||||||
|
impl_div_ui!(u16, mpz_crem_u16, __gmpz_cdiv_ui);
|
||||||
|
impl_div_ui!(u32, mpz_frem_u32, __gmpz_fdiv_ui);
|
||||||
|
|
||||||
|
/// Returns `true` if `z` is negative and not zero. Otherwise,
|
||||||
|
/// returns `false`.
|
||||||
|
#[inline]
|
||||||
|
pub fn mpz_is_negative(z: &Mpz) -> bool {
|
||||||
|
unsafe { (*(z as *const _ as *const MpzStruct)).mp_size < 0 }
|
||||||
|
}
|
||||||
|
|
||||||
|
#[inline]
|
||||||
|
pub fn mpz_powm(rop: &mut Mpz, base: &Mpz, exponent: &Mpz, modulus: &Mpz) {
|
||||||
|
unsafe { __gmpz_powm(rop, base, exponent, modulus) }
|
||||||
|
}
|
||||||
|
|
||||||
|
#[inline]
|
||||||
|
pub fn mpz_tdiv_r(r: &mut Mpz, n: &Mpz, d: &Mpz) {
|
||||||
|
unsafe { __gmpz_tdiv_r(r, n, d) }
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Sets `g` to the GCD of `a` and `b`.
|
||||||
|
#[inline]
|
||||||
|
pub fn mpz_gcdext(gcd: &mut Mpz, s: &mut Mpz, t: &mut Mpz, a: &Mpz, b: &Mpz) {
|
||||||
|
unsafe { __gmpz_gcdext(gcd, s, t, a, b) }
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Doubles `rop` in-place
|
||||||
|
#[inline]
|
||||||
|
pub fn mpz_double(rop: &mut Mpz) {
|
||||||
|
if true {
|
||||||
|
// slightly faster
|
||||||
|
unsafe { __gmpz_mul_2exp(rop, rop, 1) }
|
||||||
|
} else {
|
||||||
|
unsafe { __gmpz_add(rop, rop, rop) }
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
#[inline]
|
||||||
|
pub fn mpz_fdiv_qr(q: &mut Mpz, r: &mut Mpz, b: &Mpz, g: &Mpz) {
|
||||||
|
unsafe { __gmpz_fdiv_qr(q, r, b, g) }
|
||||||
|
}
|
||||||
|
|
||||||
|
#[inline]
|
||||||
|
pub fn mpz_fdiv_q_ui_self(rop: &mut Mpz, op: c_ulong) -> c_ulong {
|
||||||
|
unsafe { __gmpz_fdiv_q_ui(rop, rop, op) }
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Unmarshals a buffer to an `Mpz`. `buf` is interpreted as a 2’s complement,
|
||||||
|
/// big-endian integer. If the buffer is empty, zero is returned.
|
||||||
|
pub fn import_obj(buf: &[u8]) -> Mpz {
|
||||||
|
fn raw_import(buf: &[u8]) -> Mpz {
|
||||||
|
let mut obj = Mpz::new();
|
||||||
|
|
||||||
|
unsafe { __gmpz_import(&mut obj, buf.len(), 1, 1, 1, 0, buf.as_ptr() as *const _) }
|
||||||
|
obj
|
||||||
|
}
|
||||||
|
let is_negative = match buf.first() {
|
||||||
|
None => return Mpz::zero(),
|
||||||
|
Some(x) => x & 0x80 != 0,
|
||||||
|
};
|
||||||
|
if !is_negative {
|
||||||
|
raw_import(buf)
|
||||||
|
} else {
|
||||||
|
let mut new_buf: Vec<_> = buf.iter().cloned().skip_while(|&x| x == 0xFF).collect();
|
||||||
|
if new_buf.is_empty() {
|
||||||
|
(-1).into()
|
||||||
|
} else {
|
||||||
|
for i in &mut new_buf {
|
||||||
|
*i ^= 0xFF
|
||||||
|
}
|
||||||
|
!raw_import(&new_buf)
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn three_gcd(rop: &mut Mpz, a: &Mpz, b: &Mpz, c: &Mpz) {
|
||||||
|
unsafe {
|
||||||
|
__gmpz_gcd(rop, a, b);
|
||||||
|
__gmpz_gcd(rop, rop, c)
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
#[inline]
|
||||||
|
pub fn size_in_bits(obj: &Mpz) -> usize {
|
||||||
|
unsafe { __gmpz_sizeinbase(obj, 2) }
|
||||||
|
}
|
||||||
|
|
||||||
|
#[inline]
|
||||||
|
pub fn mpz_add(rop: &mut Mpz, op1: &Mpz, op2: &Mpz) {
|
||||||
|
unsafe { __gmpz_add(rop, op1, op2) }
|
||||||
|
}
|
||||||
|
|
||||||
|
#[inline]
|
||||||
|
pub fn mpz_mul(rop: &mut Mpz, op1: &Mpz, op2: &Mpz) {
|
||||||
|
unsafe { __gmpz_mul(rop, op1, op2) }
|
||||||
|
}
|
||||||
|
|
||||||
|
#[inline]
|
||||||
|
pub fn mpz_divexact(q: &mut Mpz, n: &Mpz, d: &Mpz) {
|
||||||
|
unsafe { __gmpz_divexact(q, n, d) }
|
||||||
|
}
|
||||||
|
|
||||||
|
#[inline]
|
||||||
|
pub fn mpz_mul_2exp(rop: &mut Mpz, op1: &Mpz, op2: mp_bitcnt_t) {
|
||||||
|
unsafe { __gmpz_mul_2exp(rop as *mut _ as *mut Mpz, op1, op2) }
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Divide `n` by `d`. Round towards -∞ and place the result in `q`.
|
||||||
|
#[inline]
|
||||||
|
pub fn mpz_fdiv_q(q: &mut Mpz, n: &Mpz, d: &Mpz) {
|
||||||
|
if mpz_is_negative(n) == mpz_is_negative(d) {
|
||||||
|
unsafe { __gmpz_tdiv_q(q, n, d) }
|
||||||
|
} else {
|
||||||
|
unsafe { __gmpz_fdiv_q(q, n, d) }
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Sets `rop` to `(-1) * op`
|
||||||
|
#[inline]
|
||||||
|
#[cfg(none)]
|
||||||
|
pub fn mpz_neg(rop: &mut Mpz) {
|
||||||
|
assert!(mem::size_of::<Mpz>() == mem::size_of::<MpzStruct>());
|
||||||
|
unsafe {
|
||||||
|
let ptr = rop as *mut _ as *mut MpzStruct;
|
||||||
|
let v = (*ptr).mp_size;
|
||||||
|
(*ptr).mp_size = -v;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Subtracts `op2` from `op1` and stores the result in `rop`.
|
||||||
|
#[inline]
|
||||||
|
pub fn mpz_sub(rop: &mut Mpz, op1: &Mpz, op2: &Mpz) {
|
||||||
|
unsafe { __gmpz_sub(rop as *mut _ as *mut Mpz, op1, op2) }
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Exports `obj` to `v` as an array of 2’s complement, big-endian
|
||||||
|
/// bytes. If `v` is too small to hold the result, returns `Err(s)`,
|
||||||
|
/// where `s` is the size needed to hold the exported version of `obj`.
|
||||||
|
pub fn export_obj(obj: &Mpz, v: &mut [u8]) -> Result<(), usize> {
|
||||||
|
// Requires: offset < v.len() and v[offset..] be able to hold all of `obj`
|
||||||
|
unsafe fn raw_export(v: &mut [u8], offset: usize, obj: &Mpz) -> usize {
|
||||||
|
// SAFE as `offset` will always be in-bounds, since byte_len always <=
|
||||||
|
// byte_len_needed and we check that v.len() >= byte_len_needed.
|
||||||
|
let ptr = v.as_mut_ptr().add(offset) as *mut c_void;
|
||||||
|
|
||||||
|
// Necessary ― this byte may not be fully overwritten
|
||||||
|
*(ptr as *mut u8) = 0;
|
||||||
|
|
||||||
|
// SAFE as __gmpz_export will *always* initialize this.
|
||||||
|
let mut s: usize = mem::uninitialized();
|
||||||
|
let ptr2 = __gmpz_export(ptr, &mut s, 1, 1, 1, 0, obj);
|
||||||
|
assert_eq!(ptr, ptr2);
|
||||||
|
if 0 == s {
|
||||||
|
1
|
||||||
|
} else {
|
||||||
|
s
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
let size = size_in_bits(obj);
|
||||||
|
assert!(size > 0);
|
||||||
|
|
||||||
|
// Check to avoid integer overflow in later operations.
|
||||||
|
if size > usize::MAX - 8 || v.len() > usize::MAX >> 3 {
|
||||||
|
return Err(usize::MAX);
|
||||||
|
}
|
||||||
|
|
||||||
|
// One additional bit is needed for the sign bit.
|
||||||
|
let byte_len_needed = (size + 8) >> 3;
|
||||||
|
if v.len() < byte_len_needed {
|
||||||
|
return if v.is_empty() && obj.is_zero() {
|
||||||
|
Ok(())
|
||||||
|
} else {
|
||||||
|
Err(byte_len_needed)
|
||||||
|
};
|
||||||
|
}
|
||||||
|
let is_negative = mpz_is_negative(obj);
|
||||||
|
|
||||||
|
if is_negative {
|
||||||
|
// MEGA HACK: GMP does not have a function to perform 2's complement
|
||||||
|
let obj = !obj;
|
||||||
|
debug_assert!(
|
||||||
|
!mpz_is_negative(&obj),
|
||||||
|
"bitwise negation of a negative number produced a negative number"
|
||||||
|
);
|
||||||
|
let new_byte_size = (size_in_bits(&obj) + 7) >> 3;
|
||||||
|
let offset = v.len() - new_byte_size;
|
||||||
|
|
||||||
|
for i in &mut v[..offset] {
|
||||||
|
*i = 0xFF
|
||||||
|
}
|
||||||
|
unsafe {
|
||||||
|
assert_eq!(raw_export(v, offset, &obj), new_byte_size);
|
||||||
|
}
|
||||||
|
|
||||||
|
// We had to do a one’s complement to get the data in a decent format,
|
||||||
|
// so now we need to flip all of the bits back. LLVM should be able to
|
||||||
|
// vectorize this loop easily.
|
||||||
|
for i in &mut v[offset..] {
|
||||||
|
*i ^= 0xFF
|
||||||
|
}
|
||||||
|
} else {
|
||||||
|
// ...but GMP will not include that in the number of bytes it writes
|
||||||
|
// (except for negative numbers)
|
||||||
|
let byte_len = (size + 7) >> 3;
|
||||||
|
assert!(byte_len > 0);
|
||||||
|
|
||||||
|
let offset = v.len() - byte_len;
|
||||||
|
|
||||||
|
// Zero out any leading bytes
|
||||||
|
for i in &mut v[..offset] {
|
||||||
|
*i = 0
|
||||||
|
}
|
||||||
|
unsafe {
|
||||||
|
assert_eq!(raw_export(v, offset, &obj), byte_len);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
Ok(())
|
||||||
|
}
|
||||||
|
|
||||||
|
#[cfg(test)]
|
||||||
|
mod test {
|
||||||
|
use super::*;
|
||||||
|
#[test]
|
||||||
|
fn check_expected_bit_width() {
|
||||||
|
let mut s: Mpz = (-2).into();
|
||||||
|
assert_eq!(size_in_bits(&s), 2);
|
||||||
|
s = !s;
|
||||||
|
assert_eq!(s, 1.into());
|
||||||
|
s.setbit(2);
|
||||||
|
assert_eq!(s, 5.into());
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn check_export() {
|
||||||
|
let mut s: Mpz = 0x100.into();
|
||||||
|
s = !s;
|
||||||
|
let mut buf = [0, 0, 0];
|
||||||
|
export_obj(&s, &mut buf).expect("buffer should be large enough");
|
||||||
|
assert_eq!(buf, [0xFF, 0xFE, 0xFF]);
|
||||||
|
export_obj(&Mpz::zero(), &mut []).unwrap();
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn check_rem() {
|
||||||
|
assert_eq!(mpz_crem_u16(&(-100i64).into(), 3), 1);
|
||||||
|
assert_eq!(mpz_crem_u16(&(100i64).into(), 3), 2);
|
||||||
|
}
|
||||||
|
}
|
||||||
587
crates/classgroup/src/gmp_classgroup/mod.rs
Normal file
587
crates/classgroup/src/gmp_classgroup/mod.rs
Normal file
@ -0,0 +1,587 @@
|
|||||||
|
// Copyright 2018 Chia Network Inc and POA Networks Ltd.
|
||||||
|
//
|
||||||
|
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||||
|
// you may not use this file except in compliance with the License.
|
||||||
|
// You may obtain a copy of the License at
|
||||||
|
//
|
||||||
|
// http://www.apache.org/licenses/LICENSE-2.0
|
||||||
|
//
|
||||||
|
// Unless required by applicable law or agreed to in writing, software
|
||||||
|
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||||
|
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||||
|
// See the License for the specific language governing permissions and
|
||||||
|
// limitations under the License.
|
||||||
|
#![deny(unsafe_code)]
|
||||||
|
use super::ClassGroup;
|
||||||
|
use super::gmp::mpz::Mpz;
|
||||||
|
use super::gmp::mpz::ProbabPrimeResult::NotPrime;
|
||||||
|
use num_traits::{One, Zero};
|
||||||
|
use std::{
|
||||||
|
borrow::Borrow,
|
||||||
|
cell::RefCell,
|
||||||
|
mem::swap,
|
||||||
|
ops::{Mul, MulAssign},
|
||||||
|
};
|
||||||
|
mod congruence;
|
||||||
|
pub(super) mod ffi;
|
||||||
|
|
||||||
|
#[derive(PartialEq, PartialOrd, Eq, Ord, Hash, Debug, Clone)]
|
||||||
|
pub struct GmpClassGroup {
|
||||||
|
a: Mpz,
|
||||||
|
b: Mpz,
|
||||||
|
c: Mpz,
|
||||||
|
discriminant: Mpz,
|
||||||
|
}
|
||||||
|
|
||||||
|
#[derive(PartialEq, PartialOrd, Eq, Ord, Clone, Hash, Debug)]
|
||||||
|
pub struct Ctx {
|
||||||
|
negative_a: Mpz,
|
||||||
|
r: Mpz,
|
||||||
|
denom: Mpz,
|
||||||
|
old_a: Mpz,
|
||||||
|
old_b: Mpz,
|
||||||
|
ra: Mpz,
|
||||||
|
s: Mpz,
|
||||||
|
x: Mpz,
|
||||||
|
congruence_context: congruence::CongruenceContext,
|
||||||
|
h: Mpz,
|
||||||
|
w: Mpz,
|
||||||
|
m: Mpz,
|
||||||
|
u: Mpz,
|
||||||
|
a: Mpz,
|
||||||
|
l: Mpz,
|
||||||
|
j: Mpz,
|
||||||
|
b: Mpz,
|
||||||
|
k: Mpz,
|
||||||
|
t: Mpz,
|
||||||
|
mu: Mpz,
|
||||||
|
v: Mpz,
|
||||||
|
sigma: Mpz,
|
||||||
|
lambda: Mpz,
|
||||||
|
}
|
||||||
|
|
||||||
|
thread_local! {
|
||||||
|
static CTX: RefCell<Ctx> = Default::default();
|
||||||
|
}
|
||||||
|
|
||||||
|
impl GmpClassGroup {
|
||||||
|
pub fn into_raw(self) -> (Mpz, Mpz) {
|
||||||
|
(self.a, self.b)
|
||||||
|
}
|
||||||
|
|
||||||
|
fn inner_multiply(&mut self, rhs: &Self, ctx: &mut Ctx) {
|
||||||
|
self.assert_valid();
|
||||||
|
rhs.assert_valid();
|
||||||
|
|
||||||
|
// g = (b1 + b2) / 2
|
||||||
|
ffi::mpz_add(&mut ctx.congruence_context.g, &self.b, &rhs.b);
|
||||||
|
ffi::mpz_fdiv_q_ui_self(&mut ctx.congruence_context.g, 2);
|
||||||
|
|
||||||
|
// h = (b2 - b1) / 2
|
||||||
|
ffi::mpz_sub(&mut ctx.h, &rhs.b, &self.b);
|
||||||
|
ffi::mpz_fdiv_q_ui_self(&mut ctx.h, 2);
|
||||||
|
|
||||||
|
debug_assert!(&ctx.h + &ctx.congruence_context.g == rhs.b);
|
||||||
|
debug_assert!(&ctx.congruence_context.g - &ctx.h == self.b);
|
||||||
|
|
||||||
|
// w = gcd(a1, a2, g)
|
||||||
|
ffi::three_gcd(&mut ctx.w, &self.a, &rhs.a, &ctx.congruence_context.g);
|
||||||
|
|
||||||
|
// j = w
|
||||||
|
ctx.j.set(&ctx.w);
|
||||||
|
|
||||||
|
// s = a1/w
|
||||||
|
ffi::mpz_fdiv_q(&mut ctx.s, &self.a, &ctx.w);
|
||||||
|
|
||||||
|
// t = a2/w
|
||||||
|
ffi::mpz_fdiv_q(&mut ctx.t, &rhs.a, &ctx.w);
|
||||||
|
|
||||||
|
// u = g/w
|
||||||
|
ffi::mpz_fdiv_q(&mut ctx.u, &ctx.congruence_context.g, &ctx.w);
|
||||||
|
|
||||||
|
// a = t*u
|
||||||
|
ffi::mpz_mul(&mut ctx.a, &ctx.t, &ctx.u);
|
||||||
|
|
||||||
|
// b = h*u - s*c1
|
||||||
|
ffi::mpz_mul(&mut ctx.b, &ctx.h, &ctx.u);
|
||||||
|
ffi::mpz_mul(&mut ctx.m, &ctx.s, &self.c);
|
||||||
|
ctx.b += &ctx.m;
|
||||||
|
|
||||||
|
// m = s*t
|
||||||
|
ffi::mpz_mul(&mut ctx.m, &ctx.s, &ctx.t);
|
||||||
|
ctx.congruence_context.solve_linear_congruence(
|
||||||
|
&mut ctx.mu,
|
||||||
|
Some(&mut ctx.v),
|
||||||
|
&ctx.a,
|
||||||
|
&ctx.b,
|
||||||
|
&ctx.m,
|
||||||
|
);
|
||||||
|
|
||||||
|
// a = t*v
|
||||||
|
ffi::mpz_mul(&mut ctx.a, &ctx.t, &ctx.v);
|
||||||
|
|
||||||
|
// b = h - t * mu
|
||||||
|
ffi::mpz_mul(&mut ctx.m, &ctx.t, &ctx.mu);
|
||||||
|
ffi::mpz_sub(&mut ctx.b, &ctx.h, &ctx.m);
|
||||||
|
|
||||||
|
// m = s
|
||||||
|
ctx.m.set(&ctx.s);
|
||||||
|
|
||||||
|
ctx.congruence_context.solve_linear_congruence(
|
||||||
|
&mut ctx.lambda,
|
||||||
|
Some(&mut ctx.sigma),
|
||||||
|
&ctx.a,
|
||||||
|
&ctx.b,
|
||||||
|
&ctx.m,
|
||||||
|
);
|
||||||
|
|
||||||
|
// k = mu + v*lambda
|
||||||
|
ffi::mpz_mul(&mut ctx.a, &ctx.v, &ctx.lambda);
|
||||||
|
ffi::mpz_add(&mut ctx.k, &ctx.mu, &ctx.a);
|
||||||
|
|
||||||
|
// l = (k*t - h)/s
|
||||||
|
ffi::mpz_mul(&mut ctx.l, &ctx.k, &ctx.t);
|
||||||
|
ffi::mpz_sub(&mut ctx.v, &ctx.l, &ctx.h);
|
||||||
|
ffi::mpz_fdiv_q(&mut ctx.l, &ctx.v, &ctx.s);
|
||||||
|
|
||||||
|
// m = (t*u*k - h*u - c*s) / s*t
|
||||||
|
ffi::mpz_mul(&mut ctx.m, &ctx.t, &ctx.u);
|
||||||
|
ctx.m *= &ctx.k;
|
||||||
|
ffi::mpz_mul(&mut ctx.a, &ctx.h, &ctx.u);
|
||||||
|
ctx.m -= &ctx.a;
|
||||||
|
ffi::mpz_mul(&mut ctx.a, &self.c, &ctx.s);
|
||||||
|
ctx.m -= &ctx.a;
|
||||||
|
ffi::mpz_mul(&mut ctx.a, &ctx.s, &ctx.t);
|
||||||
|
ffi::mpz_fdiv_q(&mut ctx.lambda, &ctx.m, &ctx.a);
|
||||||
|
|
||||||
|
// A = s*t - r*u
|
||||||
|
ffi::mpz_mul(&mut self.a, &ctx.s, &ctx.t);
|
||||||
|
|
||||||
|
// B = ju + mr - (kt + ls)
|
||||||
|
ffi::mpz_mul(&mut self.b, &ctx.j, &ctx.u);
|
||||||
|
ffi::mpz_mul(&mut ctx.a, &ctx.k, &ctx.t);
|
||||||
|
self.b -= &ctx.a;
|
||||||
|
ffi::mpz_mul(&mut ctx.a, &ctx.l, &ctx.s);
|
||||||
|
self.b -= &ctx.a;
|
||||||
|
|
||||||
|
// C = kl - jm
|
||||||
|
ffi::mpz_mul(&mut self.c, &ctx.k, &ctx.l);
|
||||||
|
ffi::mpz_mul(&mut ctx.a, &ctx.j, &ctx.lambda);
|
||||||
|
self.c -= &ctx.a;
|
||||||
|
|
||||||
|
self.inner_reduce(ctx);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[cfg_attr(not(debug_assertions), inline(always))]
|
||||||
|
fn new(a: Mpz, b: Mpz, c: Mpz, discriminant: Mpz) -> Self {
|
||||||
|
let s = GmpClassGroup {
|
||||||
|
a,
|
||||||
|
b,
|
||||||
|
c,
|
||||||
|
discriminant,
|
||||||
|
};
|
||||||
|
s.assert_valid();
|
||||||
|
s
|
||||||
|
}
|
||||||
|
|
||||||
|
#[cfg_attr(not(debug_assertions), inline(always))]
|
||||||
|
fn assert_valid(&self) {
|
||||||
|
if cfg!(debug_assertions) {
|
||||||
|
let four: Mpz = 4u64.into();
|
||||||
|
let four_ac: Mpz = four * &self.a * &self.c;
|
||||||
|
assert!(&self.discriminant + four_ac == &self.b * &self.b);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
fn inner_normalize(&mut self, ctx: &mut Ctx) {
|
||||||
|
self.assert_valid();
|
||||||
|
ctx.negative_a = -&self.a;
|
||||||
|
if self.b > ctx.negative_a && self.b <= self.a {
|
||||||
|
return;
|
||||||
|
}
|
||||||
|
ffi::mpz_sub(&mut ctx.r, &self.a, &self.b);
|
||||||
|
ffi::mpz_mul_2exp(&mut ctx.denom, &self.a, 1);
|
||||||
|
ffi::mpz_fdiv_q(&mut ctx.negative_a, &ctx.r, &ctx.denom);
|
||||||
|
swap(&mut ctx.negative_a, &mut ctx.r);
|
||||||
|
swap(&mut ctx.old_b, &mut self.b);
|
||||||
|
ffi::mpz_mul(&mut ctx.ra, &ctx.r, &self.a);
|
||||||
|
ffi::mpz_mul_2exp(&mut ctx.negative_a, &ctx.ra, 1);
|
||||||
|
ffi::mpz_add(&mut self.b, &ctx.old_b, &ctx.negative_a);
|
||||||
|
|
||||||
|
ffi::mpz_mul(&mut ctx.negative_a, &ctx.ra, &ctx.r);
|
||||||
|
ffi::mpz_add(&mut ctx.old_a, &self.c, &ctx.negative_a);
|
||||||
|
|
||||||
|
ffi::mpz_mul(&mut ctx.ra, &ctx.r, &ctx.old_b);
|
||||||
|
ffi::mpz_add(&mut self.c, &ctx.old_a, &ctx.ra);
|
||||||
|
|
||||||
|
self.assert_valid();
|
||||||
|
}
|
||||||
|
|
||||||
|
fn inner_reduce(&mut self, ctx: &mut Ctx) {
|
||||||
|
self.inner_normalize(ctx);
|
||||||
|
|
||||||
|
while if ffi::mpz_is_negative(&self.b) {
|
||||||
|
self.a >= self.c
|
||||||
|
} else {
|
||||||
|
self.a > self.c
|
||||||
|
} {
|
||||||
|
debug_assert!(!self.c.is_zero());
|
||||||
|
ffi::mpz_add(&mut ctx.s, &self.c, &self.b);
|
||||||
|
ffi::mpz_add(&mut ctx.x, &self.c, &self.c);
|
||||||
|
swap(&mut self.b, &mut ctx.old_b);
|
||||||
|
ffi::mpz_fdiv_q(&mut self.b, &ctx.s, &ctx.x);
|
||||||
|
swap(&mut self.b, &mut ctx.s);
|
||||||
|
swap(&mut self.a, &mut self.c);
|
||||||
|
|
||||||
|
// x = 2sc
|
||||||
|
ffi::mpz_mul(&mut self.b, &ctx.s, &self.a);
|
||||||
|
ffi::mpz_mul_2exp(&mut ctx.x, &self.b, 1);
|
||||||
|
|
||||||
|
// b = x - old_b
|
||||||
|
ffi::mpz_sub(&mut self.b, &ctx.x, &ctx.old_b);
|
||||||
|
|
||||||
|
// x = b*s
|
||||||
|
ffi::mpz_mul(&mut ctx.x, &ctx.old_b, &ctx.s);
|
||||||
|
|
||||||
|
// s = c*s^2
|
||||||
|
ffi::mpz_mul(&mut ctx.old_b, &ctx.s, &ctx.s);
|
||||||
|
ffi::mpz_mul(&mut ctx.s, &self.a, &ctx.old_b);
|
||||||
|
|
||||||
|
// c = s - x
|
||||||
|
ffi::mpz_sub(&mut ctx.old_a, &ctx.s, &ctx.x);
|
||||||
|
|
||||||
|
// c += a
|
||||||
|
self.c += &ctx.old_a;
|
||||||
|
}
|
||||||
|
self.inner_normalize(ctx);
|
||||||
|
}
|
||||||
|
|
||||||
|
fn inner_square_impl(&mut self, ctx: &mut Ctx) {
|
||||||
|
self.assert_valid();
|
||||||
|
ctx.congruence_context.solve_linear_congruence(
|
||||||
|
&mut ctx.mu,
|
||||||
|
None,
|
||||||
|
&self.b,
|
||||||
|
&self.c,
|
||||||
|
&self.a,
|
||||||
|
);
|
||||||
|
ffi::mpz_mul(&mut ctx.m, &self.b, &ctx.mu);
|
||||||
|
ctx.m -= &self.c;
|
||||||
|
ctx.m = ctx.m.div_floor(&self.a);
|
||||||
|
|
||||||
|
// New a
|
||||||
|
ctx.old_a.set(&self.a);
|
||||||
|
ffi::mpz_mul(&mut self.a, &ctx.old_a, &ctx.old_a);
|
||||||
|
|
||||||
|
// New b
|
||||||
|
ffi::mpz_mul(&mut ctx.a, &ctx.mu, &ctx.old_a);
|
||||||
|
ffi::mpz_double(&mut ctx.a);
|
||||||
|
self.b -= &ctx.a;
|
||||||
|
|
||||||
|
// New c
|
||||||
|
ffi::mpz_mul(&mut self.c, &ctx.mu, &ctx.mu);
|
||||||
|
self.c -= &ctx.m;
|
||||||
|
self.inner_reduce(ctx);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[cfg_attr(not(debug_assertions), inline(always))]
|
||||||
|
fn inner_square(&mut self, ctx: &mut Ctx) {
|
||||||
|
if cfg!(debug_assertions) {
|
||||||
|
let mut q = self.clone();
|
||||||
|
q.inner_multiply(self, ctx);
|
||||||
|
self.inner_square_impl(ctx);
|
||||||
|
assert_eq!(*self, q);
|
||||||
|
} else {
|
||||||
|
self.inner_square_impl(ctx);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Call `cb` with a mutable reference to the context of type `Ctx`.
|
||||||
|
///
|
||||||
|
/// The reference cannot escape the closure and cannot be sent across
|
||||||
|
/// threads.
|
||||||
|
///
|
||||||
|
/// # Panics
|
||||||
|
///
|
||||||
|
/// Panics if called recursively. This library guarantees that it will
|
||||||
|
/// never call this function from any function that takes a parameter of
|
||||||
|
/// type `&mut Ctx`.
|
||||||
|
pub fn with_context<T, U>(cb: T) -> U
|
||||||
|
where
|
||||||
|
T: FnOnce(&mut Ctx) -> U,
|
||||||
|
{
|
||||||
|
let mut opt = None;
|
||||||
|
CTX.with(|x| opt = Some(cb(&mut x.borrow_mut())));
|
||||||
|
opt.unwrap()
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
impl Default for GmpClassGroup {
|
||||||
|
fn default() -> Self {
|
||||||
|
GmpClassGroup {
|
||||||
|
a: Mpz::new(),
|
||||||
|
b: Mpz::new(),
|
||||||
|
c: Mpz::new(),
|
||||||
|
discriminant: Mpz::new(),
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
impl<B: Borrow<GmpClassGroup>> MulAssign<B> for GmpClassGroup {
|
||||||
|
#[cfg_attr(not(debug_assertions), inline(always))]
|
||||||
|
fn mul_assign(&mut self, rhs: B) {
|
||||||
|
let rhs = rhs.borrow();
|
||||||
|
debug_assert!(self.discriminant == rhs.discriminant);
|
||||||
|
GmpClassGroup::with_context(|ctx| self.inner_multiply(rhs, ctx));
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
impl super::BigNum for Mpz {
|
||||||
|
fn probab_prime(&self, iterations: u32) -> bool {
|
||||||
|
self.probab_prime(iterations.max(256) as _) != NotPrime
|
||||||
|
}
|
||||||
|
|
||||||
|
fn setbit(&mut self, bit_index: usize) {
|
||||||
|
self.setbit(bit_index)
|
||||||
|
}
|
||||||
|
|
||||||
|
fn mod_powm(&mut self, base: &Self, exponent: &Self, modulus: &Self) {
|
||||||
|
ffi::mpz_powm(self, base, exponent, modulus)
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
impl super::BigNumExt for Mpz {
|
||||||
|
fn frem_u32(&self, modulus: u32) -> u32 {
|
||||||
|
ffi::mpz_frem_u32(self, modulus)
|
||||||
|
}
|
||||||
|
fn crem_u16(&mut self, modulus: u16) -> u16 {
|
||||||
|
ffi::mpz_crem_u16(self, modulus)
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
impl<B: Borrow<Self>> Mul<B> for GmpClassGroup {
|
||||||
|
type Output = Self;
|
||||||
|
#[inline]
|
||||||
|
fn mul(mut self, rhs: B) -> Self {
|
||||||
|
self *= rhs.borrow();
|
||||||
|
self
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
impl<'a, B: Borrow<GmpClassGroup>> Mul<B> for &'a GmpClassGroup {
|
||||||
|
type Output = GmpClassGroup;
|
||||||
|
|
||||||
|
#[inline(always)]
|
||||||
|
fn mul(self, rhs: B) -> Self::Output {
|
||||||
|
let mut s = Clone::clone(self.borrow());
|
||||||
|
s *= rhs;
|
||||||
|
s
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
impl ClassGroup for GmpClassGroup {
|
||||||
|
type BigNum = Mpz;
|
||||||
|
|
||||||
|
/// Normalize `self`.
|
||||||
|
///
|
||||||
|
/// # Panics
|
||||||
|
///
|
||||||
|
/// Panics if called within a call to `Self::with_context`.
|
||||||
|
fn normalize(&mut self) {
|
||||||
|
Self::with_context(|x| self.inner_normalize(x))
|
||||||
|
}
|
||||||
|
|
||||||
|
#[cfg_attr(not(debug_assertions), inline(always))]
|
||||||
|
fn inverse(&mut self) {
|
||||||
|
self.assert_valid();
|
||||||
|
self.b = -self.b.clone();
|
||||||
|
}
|
||||||
|
|
||||||
|
fn serialize(&self, buf: &mut [u8]) -> Result<(), usize> {
|
||||||
|
self.assert_valid();
|
||||||
|
if buf.len() & 1 == 1 {
|
||||||
|
// odd lengths do not make sense
|
||||||
|
Err(0)
|
||||||
|
} else {
|
||||||
|
let len = buf.len() >> 1;
|
||||||
|
ffi::export_obj(&self.a, &mut buf[..len])?;
|
||||||
|
ffi::export_obj(&self.b, &mut buf[len..])
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
fn from_bytes(bytearray: &[u8], discriminant: Self::BigNum) -> Self {
|
||||||
|
let len = (ffi::size_in_bits(&discriminant) + 16) >> 4;
|
||||||
|
let a = ffi::import_obj(&bytearray[..len]);
|
||||||
|
let b = ffi::import_obj(&bytearray[len..]);
|
||||||
|
Self::from_ab_discriminant(a, b, discriminant)
|
||||||
|
}
|
||||||
|
|
||||||
|
fn from_ab_discriminant(a: Self::BigNum, b: Self::BigNum, discriminant: Self::BigNum) -> Self {
|
||||||
|
let mut four_a: Self::BigNum = 4u64.into();
|
||||||
|
four_a *= &a;
|
||||||
|
let c = (&b * &b - &discriminant) / four_a;
|
||||||
|
Self {
|
||||||
|
a,
|
||||||
|
b,
|
||||||
|
c,
|
||||||
|
discriminant,
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Returns the discriminant of `self`.
|
||||||
|
#[inline(always)]
|
||||||
|
fn discriminant(&self) -> &Self::BigNum {
|
||||||
|
&self.discriminant
|
||||||
|
}
|
||||||
|
|
||||||
|
fn size_in_bits(num: &Self::BigNum) -> usize {
|
||||||
|
ffi::size_in_bits(num)
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Reduce `self`.
|
||||||
|
///
|
||||||
|
/// # Panics
|
||||||
|
///
|
||||||
|
/// Panics if called within a call to `Self::with_context`.
|
||||||
|
fn reduce(&mut self) {
|
||||||
|
Self::with_context(|x| self.inner_reduce(x))
|
||||||
|
}
|
||||||
|
|
||||||
|
fn deserialize(buf: &[u8], discriminant: Self::BigNum) -> Self {
|
||||||
|
let len = buf.len();
|
||||||
|
debug_assert!(len != 0, "Cannot deserialize an empty buffer!");
|
||||||
|
debug_assert!(len & 1 == 0, "Buffer must be of even length");
|
||||||
|
let half_len = len >> 1;
|
||||||
|
Self::from_ab_discriminant(
|
||||||
|
ffi::import_obj(&buf[..half_len]),
|
||||||
|
ffi::import_obj(&buf[half_len..]),
|
||||||
|
discriminant,
|
||||||
|
)
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Square `self`.ClassGroupPartial
|
||||||
|
///
|
||||||
|
/// # Panics
|
||||||
|
///
|
||||||
|
/// Panics if called within the scope of a call to `with_context`.
|
||||||
|
fn square(&mut self) {
|
||||||
|
Self::with_context(|ctx| self.inner_square(ctx))
|
||||||
|
}
|
||||||
|
|
||||||
|
fn unsigned_deserialize_bignum(buf: &[u8]) -> Self::BigNum {
|
||||||
|
buf.into()
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Square `self` `iterations` times.
|
||||||
|
///
|
||||||
|
/// # Panics
|
||||||
|
///
|
||||||
|
/// Panics if called within the scope of a call to `with_context`.
|
||||||
|
fn repeated_square(&mut self, iterations: u64) {
|
||||||
|
Self::with_context(|ctx| {
|
||||||
|
for _ in 0..iterations {
|
||||||
|
self.inner_square(ctx)
|
||||||
|
}
|
||||||
|
})
|
||||||
|
}
|
||||||
|
|
||||||
|
fn generator_for_discriminant(discriminant: Self::BigNum) -> Self {
|
||||||
|
let one: Mpz = One::one();
|
||||||
|
let x: Mpz = &one - &discriminant;
|
||||||
|
let mut form = Self::new(2.into(), one, x.div_floor(&8.into()), discriminant);
|
||||||
|
form.reduce();
|
||||||
|
form
|
||||||
|
}
|
||||||
|
|
||||||
|
fn pow(&mut self, mut exponent: Mpz) {
|
||||||
|
self.assert_valid();
|
||||||
|
debug_assert!(exponent >= Mpz::zero());
|
||||||
|
let mut state = self.identity();
|
||||||
|
loop {
|
||||||
|
let is_odd = exponent.tstbit(0);
|
||||||
|
exponent >>= 1;
|
||||||
|
if is_odd {
|
||||||
|
state *= &*self
|
||||||
|
}
|
||||||
|
if exponent.is_zero() {
|
||||||
|
*self = state;
|
||||||
|
break;
|
||||||
|
}
|
||||||
|
self.square();
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
impl Default for Ctx {
|
||||||
|
fn default() -> Self {
|
||||||
|
Self {
|
||||||
|
negative_a: Mpz::new(),
|
||||||
|
r: Mpz::new(),
|
||||||
|
denom: Mpz::new(),
|
||||||
|
old_a: Mpz::new(),
|
||||||
|
old_b: Mpz::new(),
|
||||||
|
ra: Mpz::new(),
|
||||||
|
s: Mpz::new(),
|
||||||
|
x: Mpz::new(),
|
||||||
|
congruence_context: Default::default(),
|
||||||
|
w: Mpz::new(),
|
||||||
|
m: Mpz::new(),
|
||||||
|
u: Mpz::new(),
|
||||||
|
l: Mpz::new(),
|
||||||
|
j: Mpz::new(),
|
||||||
|
t: Mpz::new(),
|
||||||
|
a: Mpz::new(),
|
||||||
|
b: Mpz::new(),
|
||||||
|
k: Mpz::new(),
|
||||||
|
h: Mpz::new(),
|
||||||
|
mu: Mpz::new(),
|
||||||
|
v: Mpz::new(),
|
||||||
|
sigma: Mpz::new(),
|
||||||
|
lambda: Mpz::new(),
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn do_compute(discriminant: Mpz, iterations: u64) -> GmpClassGroup {
|
||||||
|
debug_assert!(discriminant < Zero::zero());
|
||||||
|
debug_assert!(discriminant.probab_prime(50) != NotPrime);
|
||||||
|
let mut f = GmpClassGroup::generator_for_discriminant(discriminant);
|
||||||
|
f.repeated_square(iterations);
|
||||||
|
f
|
||||||
|
}
|
||||||
|
|
||||||
|
#[cfg(test)]
|
||||||
|
mod test {
|
||||||
|
#![allow(unused_imports)]
|
||||||
|
use super::*;
|
||||||
|
#[test]
|
||||||
|
fn normalize() {
|
||||||
|
let mut s = GmpClassGroup::new(
|
||||||
|
16.into(),
|
||||||
|
(-23).into(),
|
||||||
|
5837_3892.into(),
|
||||||
|
(-0xdead_beefi64).into(),
|
||||||
|
);
|
||||||
|
let mut new = GmpClassGroup {
|
||||||
|
b: 9.into(),
|
||||||
|
c: 5837_3885.into(),
|
||||||
|
..s.clone()
|
||||||
|
};
|
||||||
|
s.normalize();
|
||||||
|
assert_eq!(s, new);
|
||||||
|
|
||||||
|
s = GmpClassGroup {
|
||||||
|
a: (1 << 16).into(),
|
||||||
|
b: (-76951).into(),
|
||||||
|
c: 36840.into(),
|
||||||
|
..s
|
||||||
|
};
|
||||||
|
new = GmpClassGroup {
|
||||||
|
b: 54121.into(),
|
||||||
|
c: 25425.into(),
|
||||||
|
..s.clone()
|
||||||
|
};
|
||||||
|
s.normalize();
|
||||||
|
assert_eq!(s, new);
|
||||||
|
}
|
||||||
|
}
|
||||||
251
crates/classgroup/src/lib.rs
Normal file
251
crates/classgroup/src/lib.rs
Normal file
@ -0,0 +1,251 @@
|
|||||||
|
// Copyright 2018 Chia Network Inc and POA Networks Ltd.
|
||||||
|
//
|
||||||
|
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||||
|
// you may not use this file except in compliance with the License.
|
||||||
|
// You may obtain a copy of the License at
|
||||||
|
//
|
||||||
|
// http://www.apache.org/licenses/LICENSE-2.0
|
||||||
|
//
|
||||||
|
// Unless required by applicable law or agreed to in writing, software
|
||||||
|
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||||
|
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||||
|
// See the License for the specific language governing permissions and
|
||||||
|
// limitations under the License.
|
||||||
|
#![deny(unsafe_code)]
|
||||||
|
use num_traits::{One, Zero};
|
||||||
|
use std::ops::{Mul, MulAssign, Rem, ShlAssign};
|
||||||
|
|
||||||
|
pub mod gmp;
|
||||||
|
|
||||||
|
pub mod gmp_classgroup;
|
||||||
|
pub use self::gmp_classgroup::{
|
||||||
|
do_compute,
|
||||||
|
ffi::{export_obj, import_obj},
|
||||||
|
};
|
||||||
|
pub trait BigNum:
|
||||||
|
Zero
|
||||||
|
+ One
|
||||||
|
+ Clone
|
||||||
|
+ PartialOrd
|
||||||
|
+ std::fmt::Debug
|
||||||
|
+ Rem
|
||||||
|
+ ShlAssign<usize>
|
||||||
|
+ for<'a> MulAssign<&'a Self>
|
||||||
|
+ std::ops::Sub<u64, Output = Self>
|
||||||
|
+ std::ops::Add<u64, Output = Self>
|
||||||
|
+ std::convert::From<u64>
|
||||||
|
+ for<'a> std::convert::From<&'a [u8]>
|
||||||
|
+ std::ops::Shl<usize, Output = Self>
|
||||||
|
+ std::ops::Shr<usize, Output = Self>
|
||||||
|
+ std::ops::Neg<Output = Self>
|
||||||
|
+ std::str::FromStr
|
||||||
|
+ for<'a> std::ops::Div<&'a Self, Output = Self>
|
||||||
|
+ Eq
|
||||||
|
+ std::hash::Hash
|
||||||
|
{
|
||||||
|
fn probab_prime(&self, iterations: u32) -> bool;
|
||||||
|
fn setbit(&mut self, offset: usize);
|
||||||
|
fn mod_powm(&mut self, base: &Self, exponent: &Self, modulus: &Self);
|
||||||
|
}
|
||||||
|
|
||||||
|
pub trait BigNumExt: BigNum {
|
||||||
|
fn frem_u32(&self, modulus: u32) -> u32;
|
||||||
|
fn crem_u16(&mut self, modulus: u16) -> u16;
|
||||||
|
}
|
||||||
|
|
||||||
|
pub trait ClassGroup:
|
||||||
|
Sized + Clone + for<'a> MulAssign<&'a Self> + for<'a> Mul<&'a Self> + PartialEq + std::fmt::Debug
|
||||||
|
{
|
||||||
|
type BigNum: BigNum;
|
||||||
|
|
||||||
|
/// Produces a `Self` from `a`, `b`, and a discriminant.
|
||||||
|
fn from_ab_discriminant(a: Self::BigNum, b: Self::BigNum, discriminant: Self::BigNum) -> Self;
|
||||||
|
|
||||||
|
/// Unmarshals a `Self` from a byte array and discriminant.
|
||||||
|
///
|
||||||
|
/// The byte array will be in the format of two big-endian byte sequences
|
||||||
|
/// concatenated together.
|
||||||
|
fn from_bytes(bytearray: &[u8], discriminant: Self::BigNum) -> Self;
|
||||||
|
|
||||||
|
/// Computes the identity element of `Self` for a given discriminant.
|
||||||
|
///
|
||||||
|
/// If the discriminant is not valid, the result is unspecified.
|
||||||
|
///
|
||||||
|
/// # Panics
|
||||||
|
///
|
||||||
|
/// This may panic (but is not required to) if the discriminant is not
|
||||||
|
/// valid. If this function does not panic, the results of future
|
||||||
|
/// operations are unspecified: they will not invoke undefined behavior,
|
||||||
|
/// but may panic, loop forever, or just compute garbage.
|
||||||
|
///
|
||||||
|
/// In debug builds, this will always panic if the discriminant is invalid.
|
||||||
|
fn identity_for_discriminant(discriminant: Self::BigNum) -> Self {
|
||||||
|
Self::from_ab_discriminant(Self::BigNum::one(), Self::BigNum::one(), discriminant)
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Serializes `self` to a byte array. Returns `Err(s)` if there
|
||||||
|
/// is not enough space in the buffer.
|
||||||
|
///
|
||||||
|
/// The data must be serialized in twos-complement, big-endian format.
|
||||||
|
fn serialize(&self, buf: &mut [u8]) -> std::result::Result<(), usize>;
|
||||||
|
|
||||||
|
/// Deserializes a bignum from raw bytes. The bytes **must** be interpreted
|
||||||
|
/// as a big-endian unsigned integer.
|
||||||
|
fn unsigned_deserialize_bignum(_: &[u8]) -> Self::BigNum;
|
||||||
|
|
||||||
|
/// Reduce `self` in-place.
|
||||||
|
fn reduce(&mut self);
|
||||||
|
|
||||||
|
/// Squares `self`, modifying it in-place.
|
||||||
|
///
|
||||||
|
/// A default implementation is provided, but implementations are suggested
|
||||||
|
/// to override it for performance reasons.
|
||||||
|
fn square(&mut self) {
|
||||||
|
let s = self.clone();
|
||||||
|
self.mul_assign(&s)
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Normalize `self`.
|
||||||
|
fn normalize(&mut self);
|
||||||
|
|
||||||
|
/// The length of `num` in **bits**
|
||||||
|
fn size_in_bits(num: &Self::BigNum) -> usize;
|
||||||
|
|
||||||
|
/// Gets the discriminant of `self`.
|
||||||
|
fn discriminant(&self) -> &Self::BigNum;
|
||||||
|
|
||||||
|
/// Computes the identity element of a `ClassGroup`.
|
||||||
|
fn identity(&self) -> Self {
|
||||||
|
Self::identity_for_discriminant(self.discriminant().clone())
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Generates a *generator* for the class group of `Self`, given a
|
||||||
|
/// discriminant.
|
||||||
|
///
|
||||||
|
/// If the discriminant is not valid, the result is unspecified.
|
||||||
|
///
|
||||||
|
/// # Relation to `Self::identity_for_discriminant`
|
||||||
|
///
|
||||||
|
/// This is *not* the same as `Self::identity_for_discriminant`: the
|
||||||
|
/// identity element is *never* a generator for *any* group. This follows
|
||||||
|
/// from their definitions: the identity element, when multiplied by another
|
||||||
|
/// element, always gives that other element, whereas *every* element in the
|
||||||
|
/// group is some power of a generator.
|
||||||
|
///
|
||||||
|
/// # Panics
|
||||||
|
///
|
||||||
|
/// This may panic (but is not required to) if the discriminant is not
|
||||||
|
/// valid. If this function does not panic, the results of future
|
||||||
|
/// operations are unspecified: they will not invoke undefined behavior,
|
||||||
|
/// but may panic, loop forever, or just compute garbage.
|
||||||
|
///
|
||||||
|
/// If the global allocator panics on running out of memory, then this
|
||||||
|
/// function may panic in the same situation, but it may also just abort the
|
||||||
|
/// program instead.
|
||||||
|
///
|
||||||
|
/// In debug builds, this will always panic if the discriminant is invalid.
|
||||||
|
fn generator_for_discriminant(discriminant: Self::BigNum) -> Self {
|
||||||
|
Self::from_ab_discriminant(2.into(), One::one(), discriminant)
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Replaces `*self` with its inverse.
|
||||||
|
fn inverse(&mut self);
|
||||||
|
|
||||||
|
/// Squares `self` repeatedly in-place.
|
||||||
|
///
|
||||||
|
/// Implementors of this trait are encouraged to override this
|
||||||
|
/// with a more efficient implementation, if one exists.
|
||||||
|
fn repeated_square(&mut self, iterations: u64) {
|
||||||
|
for _ in 0..iterations {
|
||||||
|
self.square()
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Exponentiation
|
||||||
|
fn pow(&mut self, exponent: Self::BigNum);
|
||||||
|
|
||||||
|
/// Deserialization
|
||||||
|
fn deserialize(buf: &[u8], discriminant: Self::BigNum) -> Self;
|
||||||
|
}
|
||||||
|
|
||||||
|
#[cfg(test)]
|
||||||
|
mod test {
|
||||||
|
|
||||||
|
use std::{
|
||||||
|
fs::File,
|
||||||
|
io::{BufRead, BufReader},
|
||||||
|
path::PathBuf,
|
||||||
|
};
|
||||||
|
|
||||||
|
use super::{gmp_classgroup::GmpClassGroup, ClassGroup};
|
||||||
|
use super::gmp::mpz::Mpz;
|
||||||
|
|
||||||
|
fn split_into_three_pieces(line: &str, c: char) -> [&str; 3] {
|
||||||
|
let mut iter = line.split(c);
|
||||||
|
let fst = iter.next().expect("bad test file");
|
||||||
|
let snd = iter.next().expect("bad test file");
|
||||||
|
let thd = iter.next().expect("bad test file");
|
||||||
|
assert!(iter.next().is_none(), "bad test file");
|
||||||
|
[fst, snd, thd]
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn multiplication_is_correct() {
|
||||||
|
let manifest_path =
|
||||||
|
std::env::var("CARGO_MANIFEST_DIR").expect("cargo should have set this");
|
||||||
|
let mut path = PathBuf::from(&manifest_path);
|
||||||
|
path.push("tests/multiply.txt");
|
||||||
|
let mut f = BufReader::new(File::open(path).expect("test file missing or unreadable"));
|
||||||
|
let mut buffer = String::new();
|
||||||
|
loop {
|
||||||
|
let bytes_read = f
|
||||||
|
.read_line(&mut buffer)
|
||||||
|
.expect("could not read from test file");
|
||||||
|
assert!(bytes_read == buffer.len());
|
||||||
|
if bytes_read == 0 {
|
||||||
|
break;
|
||||||
|
}
|
||||||
|
if buffer.ends_with('\n') {
|
||||||
|
buffer.pop();
|
||||||
|
}
|
||||||
|
if buffer.ends_with('\r') {
|
||||||
|
buffer.pop();
|
||||||
|
}
|
||||||
|
let mut current_discriminant: Option<Mpz> = None;
|
||||||
|
let q: Vec<_> = split_into_three_pieces(&buffer, '|')
|
||||||
|
.iter()
|
||||||
|
.map(|i| {
|
||||||
|
let k = split_into_three_pieces(i, ',');
|
||||||
|
|
||||||
|
let a = Mpz::from_str_radix(k[0], 10).expect("bad test file");
|
||||||
|
let b = Mpz::from_str_radix(k[1], 10).expect("bad test file");
|
||||||
|
let c = Mpz::from_str_radix(k[2], 10).expect("bad test file");
|
||||||
|
let mut discriminant: Mpz = &b * &b;
|
||||||
|
let mut minuand: Mpz = (4u64).into();
|
||||||
|
minuand *= &a * &c;
|
||||||
|
discriminant -= &minuand;
|
||||||
|
assert!(discriminant < Mpz::zero());
|
||||||
|
// takes waaaay too long
|
||||||
|
// assert!(discriminant.probab_prime(20) !=
|
||||||
|
// gmp::mpz::ProbabPrimeResult::NotPrime);
|
||||||
|
if let Some(ref q) = current_discriminant {
|
||||||
|
assert_eq!(q, &discriminant, "mismatching discriminant in test files");
|
||||||
|
} else {
|
||||||
|
current_discriminant = Some(discriminant.clone());
|
||||||
|
}
|
||||||
|
GmpClassGroup::from_ab_discriminant(a, b, discriminant)
|
||||||
|
})
|
||||||
|
.collect();
|
||||||
|
assert_eq!(q.len(), 3);
|
||||||
|
if q[0] == q[1] {
|
||||||
|
let mut i = q[0].clone();
|
||||||
|
i.square();
|
||||||
|
assert_eq!(i, q[2]);
|
||||||
|
}
|
||||||
|
assert_eq!(&q[1] * &q[0], q[2], "multiplication not valid");
|
||||||
|
assert_eq!(&q[0] * &q[1], q[2], "multiplication not valid");
|
||||||
|
buffer.clear();
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
}
|
||||||
100
crates/classgroup/tests/multiply.txt
Normal file
100
crates/classgroup/tests/multiply.txt
Normal file
@ -0,0 +1,100 @@
|
|||||||
|
10000018491751458060893889018190756675058808109876974330719629294415871248770716417843542202672894233523533522085426391611508488462673577289978500560291881560964103822003262872704649110111368415677918460552197008588860300461769848797788221536509692873112178498610293735717449110462487732034905273446995235572,6192881975696225786035966982664995064937044822044587534644251299449043731778362309709151420033302511678628887337754750911692576543520793791684926797453257880919340267222510512181015985728296989735175472866965866872698457694161211487470544291337368825900113948256559852781942460432108372735686602775132351861,447562623961213317971342646547297454284223350038133828902656285846421695114449573517005802064814603287280139301229441755696758326577197667784458131993559071961595818908854193681416803619972011522725445624820104005456169532111411278882533391024720916070194718519556110684723979632586634811370262763099820931946|10000018491751458060893889018190756675058808109876974330719629294415871248770716417843542202672894233523533522085426391611508488462673577289978500560291881560964103822003262872704649110111368415677918460552197008588860300461769848797788221536509692873112178498610293735717449110462487732034905273446995235572,6192881975696225786035966982664995064937044822044587534644251299449043731778362309709151420033302511678628887337754750911692576543520793791684926797453257880919340267222510512181015985728296989735175472866965866872698457694161211487470544291337368825900113948256559852781942460432108372735686602775132351861,447562623961213317971342646547297454284223350038133828902656285846421695114449573517005802064814603287280139301229441755696758326577197667784458131993559071961595818908854193681416803619972011522725445624820104005456169532111411278882533391024720916070194718519556110684723979632586634811370262763099820931946|19255554116382770161579383715714909264782708765539029964624834623077914838241374452996111823462588737699221151887520236764901217774034554643488538519529924118839366411749516259835028878669578401436677730193218203890014064720579917095034628468204338354122803225577022412929359504950608508400413031048217497926,15092837287167018117143864462870004173493326087323162483214185994683512256473920528820058682931229518373567536566141901399624393736734616696317492646832399845295961581562413238135817545423153806714585874605091134049460217739322207059368564835209958877374166810803213938557201936549078491894191793263450700347,234893006768044042788914260913118901546740453084924505628085298368208613193607118822477736613870586900826160773678687890939302953916150044522278344184471658898873737893277827322372416620559784208443693756270533224257971092005354126278524692768704444715469609790946460097751182675767317515935452615150233004184
|
||||||
|
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10028851844651833483859929571953137249991455639548429827963027247884276614126582614765754168788406967864569784762670102265610798647378386836840906226432130520069813697908016956233348000504802826879321612396642793367212498698674853695626535119160503473498038239103440516242421347929877540717111105756485685416,2125595786027029524418010744012416366895751257304333344547068089057782417304598028459234751630103098379533864111162338454453990302791615035666668646880454521909199231924063610130346480860493194786475025500179927152042631414216166076205706865335089506746163544867373884186074330874303125032398057106297186863,800913161978634698742609378449357774955505407483415355913501780948951093468088505693408572348493350961801168010893237963412292289122055848739177106855852125098292236006510856110523212361731635197072591774393685461794786770421350652687522647241859653967881884006552182286419954577117744245767788677817306762852|50429916262905224121199165505326103712322633321578675412441680250060233972857110270845245669993781820897616267433177701631160063889458653764653687193369398981186203131244488744056545097485284912257268749768458331368107477031080466529105477483573960360042156349879055924595032652993263006931935621163071940669,-27065457947223595691396496360583757525811978893552969421355220262690251856919447274985744020030753772138102799000695707517100290349316439468276434701083568894717249805760937039437729313480400330251378090593495078991541936054800615447964857892934462412215184000258243195317080477356913381022045983896051265339,162884360410278142867611075754290453359699000687335791914852080089316910769333692647979960993562595617317591055325367385753910502341805589561432506963888415490402296553372275035046411345233183682360113909981999769321373626395576042577426393704313732652524189312065702142816306042456646293512481995292218184630|53997723292458827021420578276444072896002053124414909531202213558828743141566632795132611868503445251027453958158504792518315802051451653007369750551307662332396699632827748059470875485288011830316694909885816703989889585271656952405885761371722676008299809654786389827849524552375005490619782071967768476620,-3921961296864439599504210025762424797468664702267290731411285739993844771294339132594454147684650522033462891630908841344585194018116919380259122700777039543903609394837238783496880317096351827072103366260798880944073390853134441762823497871536553346031444078137460262118850735234076150428857645894786599751,148801743068668131617014767083337764289837422117725728166091414005082627848729316116752646484455568027336119364510594603975358934000097718262611755893849397982664596027513725455266261222215386005085253076887565120162601272630243587251846986242350641739720550891898677287459766121608903079025422071040317411427
|
||||||
|
10029389724354647916501896404393742667486460299990236556418317010668116357688170330436730152626311842309710400719826928488284825527027730454134618086311842571929328216480439284941404499751921093227604323134474990591797348436817566328316099817073417778247297081309102907064789976846493401165211794614652077581,-5748548483444797737722189452249937786310843486604864328602367281135708748614533947090219774019556230317272055169227525539578087511031078860820692360107715435130140444616499305586047090927584090418666083007681585523416727535418733837425822999564006750813702161869964846496575730545650729911357481033875975819,719895727819428792994563756994341424767785889195228293344753744212732679301708252203825226413012156273021174986595157595824763180256881701588113889797640827369987995936500880423386237711358833858185065722206691788564039408747808726964665919487597212670306097386648373066512338291830265434985728533154609458396|10029389724354647916501896404393742667486460299990236556418317010668116357688170330436730152626311842309710400719826928488284825527027730454134618086311842571929328216480439284941404499751921093227604323134474990591797348436817566328316099817073417778247297081309102907064789976846493401165211794614652077581,-5748548483444797737722189452249937786310843486604864328602367281135708748614533947090219774019556230317272055169227525539578087511031078860820692360107715435130140444616499305586047090927584090418666083007681585523416727535418733837425822999564006750813702161869964846496575730545650729911357481033875975819,719895727819428792994563756994341424767785889195228293344753744212732679301708252203825226413012156273021174986595157595824763180256881701588113889797640827369987995936500880423386237711358833858185065722206691788564039408747808726964665919487597212670306097386648373066512338291830265434985728533154609458396|8560998041202342563145796199673331908087223591151890019844277290088279806853407215903188817680041281745686724901293662893322531582604865370359246593736212994518909947445852055733198112706083016676348016714291995623917124402224705247934604030962953619706293397331305385867121828720733169551586472433525366937,-537975643989974344334263003423538768209474800355518283566587248897859525466409192148505701554962331296631250873445941844817525452815362174465113061273994639614043454341045805645253425898526417994404807933232055819444976823823121190979410608683098711316112363065614462414343124780847750195760827288806749811,842416466225224033183393216850362224780744722633748075411867357471068659147784175969996596348967969848559647034288532517371764252498077837862667546193299637156461175039504339023851201930547252305821527420041035325847162633397442876512610187216200063222815713605031344575281997919080197584636819283493689893368
|
||||||
|
10029462828108406279939177067115161395010840703955688660855251935920272008672857135011101256731718086932191566776707625465927083826902687987460773347952918706606341231446896979494902183159052228641287627294356517943283997224691515527031637969828335115038316970291491432668820800917926368076854280638205187309,-6629646230072911423556297764360629625589965368903862583111147478898388162363395818084398589541887766856708633717083099875720612184669212924373539095145308857941719336023981955297255371765324592355503775749174475673743444341624220885937903545914339945102711106579165895756968511409705213351719512183267438507,782742743661597372172423816386424221021017552503284524697466177183281891845425353410464186233869636520966594583971179297268228166989165546064661406781232750204176842910595282543729669785450570724055031796400642778914378223882150571438409693254554219540729724954243581265311980228274664427499269984624348473720|10029462828108406279939177067115161395010840703955688660855251935920272008672857135011101256731718086932191566776707625465927083826902687987460773347952918706606341231446896979494902183159052228641287627294356517943283997224691515527031637969828335115038316970291491432668820800917926368076854280638205187309,-6629646230072911423556297764360629625589965368903862583111147478898388162363395818084398589541887766856708633717083099875720612184669212924373539095145308857941719336023981955297255371765324592355503775749174475673743444341624220885937903545914339945102711106579165895756968511409705213351719512183267438507,782742743661597372172423816386424221021017552503284524697466177183281891845425353410464186233869636520966594583971179297268228166989165546064661406781232750204176842910595282543729669785450570724055031796400642778914378223882150571438409693254554219540729724954243581265311980228274664427499269984624348473720|78667156036256111077611624900655903416490936286908879028793529978954307476546731244382117972535629204391216663640753691624585098486838208251820032478479477157140644001833697695041181016581251701307504852404041540782811897181398727717806959310986773271700555774873273014053192416692372242335858566589217791557,-11681938670990905592355073596188490162953864508666802257304897456361955348551384361326321552281799532866414312577544184561189074950098884814900830627703536569755802878449922371901033061871486784064588452214883192668082672979794267084922475962025561930112420060063420934779749780994794637529679089941387143427,100087743332058471063169855843669770171915090829420561680411008586982501053400685795132793033729482971332564612241450018617179058547543051543609602249472699027915450803902552375241387388609502154707845080333148480015751381946173697011349301767118798190494650916047348538729674905622316757245591467381527471900
|
||||||
38
crates/vdf/Cargo.toml
Normal file
38
crates/vdf/Cargo.toml
Normal file
@ -0,0 +1,38 @@
|
|||||||
|
# Copyright 2018 POA Networks Ltd.
|
||||||
|
#
|
||||||
|
# Licensed under the Apache License, Version 2.0 (the "License");
|
||||||
|
# you may not use this file except in compliance with the License.
|
||||||
|
# You may obtain a copy of the License at
|
||||||
|
#
|
||||||
|
# http://www.apache.org/licenses/LICENSE-2.0
|
||||||
|
#
|
||||||
|
# Unless required by applicable law or agreed to in writing, software
|
||||||
|
# distributed under the License is distributed on an "AS IS" BASIS,
|
||||||
|
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||||
|
# See the License for the specific language governing permissions and
|
||||||
|
# and limitations under the License.
|
||||||
|
[package]
|
||||||
|
name = "vdf"
|
||||||
|
version = "0.1.0"
|
||||||
|
authors = ["Demi M. Obenour <demiobenour@gmail.com>"]
|
||||||
|
readme = "README.md"
|
||||||
|
keywords = ["vdf", "classgroup", "crypto", "cryptography"]
|
||||||
|
repository = "https://github.com/poanetwork/vdf"
|
||||||
|
license = "Apache-2.0"
|
||||||
|
edition = "2018"
|
||||||
|
description = "An implementation of Verifiable Delay Functions (VDFs) in Rust"
|
||||||
|
|
||||||
|
[dependencies]
|
||||||
|
classgroup = { path = "../classgroup", version = "^0.1.0" }
|
||||||
|
num-traits = "0.2"
|
||||||
|
sha2 = "0.8"
|
||||||
|
bit-vec = "0.5"
|
||||||
|
|
||||||
|
[dev-dependencies]
|
||||||
|
criterion = ">=0.2"
|
||||||
|
hex = "0.3"
|
||||||
|
|
||||||
|
[[bench]]
|
||||||
|
name = "classgroup-bench"
|
||||||
|
harness = false
|
||||||
|
path = "bench/bench.rs"
|
||||||
223
crates/vdf/README.md
Normal file
223
crates/vdf/README.md
Normal file
@ -0,0 +1,223 @@
|
|||||||
|
# Verifiable Delay Function (VDF) Implementation in Rust
|
||||||
|
|
||||||
|
## What is a VDF?
|
||||||
|
|
||||||
|
A Verifiable Delay Function (VDF) is a function that requires substantial time
|
||||||
|
to evaluate (even with a polynomial number of parallel processors) but can be
|
||||||
|
very quickly verified as correct. VDFs can be used to construct randomness
|
||||||
|
beacons with multiple applications in a distributed network environment. By
|
||||||
|
introducing a time delay during evaluation, VDFs prevent malicious actors from
|
||||||
|
influencing output. The output cannot be differentiated from a random number
|
||||||
|
until the final result is computed. See <https://eprint.iacr.org/2018/712.pdf>
|
||||||
|
for more details.
|
||||||
|
|
||||||
|
## Description
|
||||||
|
|
||||||
|
This VDF implementation is written in Rust. The GMP library is used for
|
||||||
|
arithmetic and greatest common divisor (GCD) calculations. We use class groups
|
||||||
|
to implement the approaches described in the following papers:
|
||||||
|
|
||||||
|
1. [Simple Verifiable Delay Functions](https://eprint.iacr.org/2018/627.pdf). Pietrzak, 2018
|
||||||
|
2. [Efficient Verifiable Delay Functions](https://eprint.iacr.org/2018/623.pdf). Wesolowski, 2018
|
||||||
|
|
||||||
|
The chosen generator is (2, 1, c), where c is calculated from the provided
|
||||||
|
discriminant. A form is represented internally (a, b, c), with the
|
||||||
|
discriminant not being used in most omputations. This implementation performs
|
||||||
|
reduction is performed after every multiplication and squaring, as not doing so
|
||||||
|
did not give any gains in our benchmarks.
|
||||||
|
|
||||||
|
|
||||||
|
This repo includes three crates:
|
||||||
|
|
||||||
|
* `classgroup`: a class group implementation, as well as a trait for class
|
||||||
|
groups.
|
||||||
|
* `vdf`: a Verifyable Delay Function (VDF) trait, as well as an
|
||||||
|
implementation of that trait.
|
||||||
|
* `vdf-cli`: a command-line interface to the vdf crate. It also includes
|
||||||
|
additional commands, which are deprecated and will be replaced by a CLI to
|
||||||
|
the classgroup crate.
|
||||||
|
|
||||||
|
## Usage
|
||||||
|
|
||||||
|
- Install [Rust]. We (POA Networks) have tested the code with the latest
|
||||||
|
stable, beta, and nightly versions of Rust. It may work with older
|
||||||
|
versions, but this is not guaranteed.
|
||||||
|
- Install the [GNU Multiple Precision Library](https://gmplib.org/)
|
||||||
|
* On Debian and derivatives (including Ubuntu):
|
||||||
|
```sh
|
||||||
|
$ sudo apt-get install -y libgmp-dev
|
||||||
|
```
|
||||||
|
* On Red Hat and derivatives (Fedora, CentOS)
|
||||||
|
```sh
|
||||||
|
$ sudo dnf -y install gmp-devel
|
||||||
|
```
|
||||||
|
- Download and prepare the repository
|
||||||
|
|
||||||
|
```sh
|
||||||
|
$ git clone https://github.com/poanetwork/vdf.git
|
||||||
|
$ cargo install --path=vdf-cli
|
||||||
|
$ # or for the competition binary
|
||||||
|
$ cargo install --path=vdf-competition
|
||||||
|
```
|
||||||
|
|
||||||
|
### Command Line Interface
|
||||||
|
|
||||||
|
To initiate, use the `vdf-cli` command followed by 2 arguments:
|
||||||
|
|
||||||
|
- _challenge_: byte string of arbitrary length
|
||||||
|
- _difficulty_: number of iterations, each iteration requires more time to evaluate
|
||||||
|
|
||||||
|
This generates the Weslowski proof of time. To generate the Pietrzak proof of
|
||||||
|
time, pass `-tpietrzak`. For detailed usage information, run `vdf-cli --help`.
|
||||||
|
|
||||||
|
Once complete you will see the output, returned as a `Vec<u8>`. The CLI tool
|
||||||
|
hex-encodes its output.
|
||||||
|
|
||||||
|
**Example**
|
||||||
|
|
||||||
|
```sh
|
||||||
|
$ vdf-cli aa 100
|
||||||
|
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
|
||||||
|
```
|
||||||
|
|
||||||
|
To verify, use the `vdi-cli` command with the same arguments and include the
|
||||||
|
output.
|
||||||
|
|
||||||
|
**Example**
|
||||||
|
|
||||||
|
```sh
|
||||||
|
$ vdf-cli aa 100 005271e8f9ab2eb8a2906e851dfcb5542e4173f016b85e29d481a108dc82ed3b3f97937b7aa824801138d1771dea8dae2f6397e76a80613afda30f2c30a34b040baaafe76d5707d68689193e5d211833b372a6a4591abb88e2e7f2f5a5ec818b5707b86b8b2c495ca1581c179168509e3593f9a16879620a4dc4e907df452e8dd0ffc4f199825f54ec70472cc061f22eb54c48d6aa5af3ea375a392ac77294e2d955dde1d102ae2ace494293492d31cff21944a8bcb4608993065c9a00292e8d3f4604e7465b4eeefb494f5bea102db343bb61c5a15c7bdf288206885c130fa1f2d86bf5e4634fdc4216bc16ef7dac970b0ee46d69416f9a9acee651d158ac64915b
|
||||||
|
Proof is valid
|
||||||
|
```
|
||||||
|
### VDF Library
|
||||||
|
|
||||||
|
<!--
|
||||||
|
Keep as is, and possibly include argument explanations as well (for byte_length for example). May not be needed though is CLI is main user interaction tool.
|
||||||
|
-->
|
||||||
|
|
||||||
|
```rust
|
||||||
|
extern crate vdf;
|
||||||
|
use vdf::{InvalidProof, PietrzakVDFParams, VDFParams, WesolowskiVDFParams, VDF};
|
||||||
|
|
||||||
|
/// The correct solution.
|
||||||
|
const CORRECT_SOLUTION: &[u8] =
|
||||||
|
b"\x00\x52\x71\xe8\xf9\xab\x2e\xb8\xa2\x90\x6e\x85\x1d\xfc\xb5\x54\x2e\x41\x73\xf0\x16\
|
||||||
|
\xb8\x5e\x29\xd4\x81\xa1\x08\xdc\x82\xed\x3b\x3f\x97\x93\x7b\x7a\xa8\x24\x80\x11\x38\
|
||||||
|
\xd1\x77\x1d\xea\x8d\xae\x2f\x63\x97\xe7\x6a\x80\x61\x3a\xfd\xa3\x0f\x2c\x30\xa3\x4b\
|
||||||
|
\x04\x0b\xaa\xaf\xe7\x6d\x57\x07\xd6\x86\x89\x19\x3e\x5d\x21\x18\x33\xb3\x72\xa6\xa4\
|
||||||
|
\x59\x1a\xbb\x88\xe2\xe7\xf2\xf5\xa5\xec\x81\x8b\x57\x07\xb8\x6b\x8b\x2c\x49\x5c\xa1\
|
||||||
|
\x58\x1c\x17\x91\x68\x50\x9e\x35\x93\xf9\xa1\x68\x79\x62\x0a\x4d\xc4\xe9\x07\xdf\x45\
|
||||||
|
\x2e\x8d\xd0\xff\xc4\xf1\x99\x82\x5f\x54\xec\x70\x47\x2c\xc0\x61\xf2\x2e\xb5\x4c\x48\
|
||||||
|
\xd6\xaa\x5a\xf3\xea\x37\x5a\x39\x2a\xc7\x72\x94\xe2\xd9\x55\xdd\xe1\xd1\x02\xae\x2a\
|
||||||
|
\xce\x49\x42\x93\x49\x2d\x31\xcf\xf2\x19\x44\xa8\xbc\xb4\x60\x89\x93\x06\x5c\x9a\x00\
|
||||||
|
\x29\x2e\x8d\x3f\x46\x04\xe7\x46\x5b\x4e\xee\xfb\x49\x4f\x5b\xea\x10\x2d\xb3\x43\xbb\
|
||||||
|
\x61\xc5\xa1\x5c\x7b\xdf\x28\x82\x06\x88\x5c\x13\x0f\xa1\xf2\xd8\x6b\xf5\xe4\x63\x4f\
|
||||||
|
\xdc\x42\x16\xbc\x16\xef\x7d\xac\x97\x0b\x0e\xe4\x6d\x69\x41\x6f\x9a\x9a\xce\xe6\x51\
|
||||||
|
\xd1\x58\xac\x64\x91\x5b";
|
||||||
|
fn main() {
|
||||||
|
// The length of the prime numbers generated, in bits.
|
||||||
|
let num_bits: u16 = 2048;
|
||||||
|
|
||||||
|
// An instance of the VDF. Instances can be used arbitrarily many times.
|
||||||
|
let pietrzak_vdf = PietrzakVDFParams(num_bits).new();
|
||||||
|
|
||||||
|
// Solve for the correct answer. This will take a minute or two.
|
||||||
|
assert_eq!(
|
||||||
|
&pietrzak_vdf.solve(b"\xaa", 10000).unwrap()[..],
|
||||||
|
CORRECT_SOLUTION
|
||||||
|
);
|
||||||
|
|
||||||
|
// Verify the answer. This should be far faster (less than a second).
|
||||||
|
assert!(pietrzak_vdf.verify(b"\xaa", 10000, CORRECT_SOLUTION).is_ok());
|
||||||
|
}
|
||||||
|
```
|
||||||
|
|
||||||
|
## Benchmarks
|
||||||
|
|
||||||
|
Benchmarks are provided for the classgroup operations. To run benchmarks:
|
||||||
|
|
||||||
|
```sh
|
||||||
|
$ ./bench.sh <your challenge here>
|
||||||
|
```
|
||||||
|
|
||||||
|
Additional benchmarks are under development.
|
||||||
|
|
||||||
|
### Current Benchmarks
|
||||||
|
|
||||||
|
These were generated by `./bench.sh aadf`. Outliers could be due to preemption
|
||||||
|
by the OS and/or hypervisor. Changes are relative to the previous test run
|
||||||
|
done on the same machine. Since the previous run was done with different
|
||||||
|
settings and/or code than reported here, these changes are not meaningful.
|
||||||
|
|
||||||
|
```text
|
||||||
|
Benchmarking square with seed aadf: 512: Collecting 100 samples in estimated 5.0439 s (374k iteratio square with seed aadf: 512
|
||||||
|
time: [13.301 us 13.333 us 13.372 us]
|
||||||
|
change: [-22.286% -21.745% -21.225%] (p = 0.00 < 0.05)
|
||||||
|
Performance has improved.
|
||||||
|
Found 22 outliers among 100 measurements (22.00%)
|
||||||
|
5 (5.00%) high mild
|
||||||
|
17 (17.00%) high severe
|
||||||
|
|
||||||
|
Benchmarking multiply with seed aadf: 512: Collecting 100 samples in estimated 5.0452 s (293k iterat multiply with seed aadf: 512
|
||||||
|
time: [17.219 us 17.251 us 17.287 us]
|
||||||
|
change: [-24.323% -23.739% -23.149%] (p = 0.00 < 0.05)
|
||||||
|
Performance has improved.
|
||||||
|
Found 10 outliers among 100 measurements (10.00%)
|
||||||
|
4 (4.00%) high mild
|
||||||
|
6 (6.00%) high severe
|
||||||
|
|
||||||
|
Benchmarking square with seed aadf: 1024: Collecting 100 samples in estimated 5.0822 s (177k iterati square with seed aadf: 1024
|
||||||
|
time: [28.672 us 28.716 us 28.767 us]
|
||||||
|
change: [-29.947% -29.339% -28.708%] (p = 0.00 < 0.05)
|
||||||
|
Performance has improved.
|
||||||
|
Found 8 outliers among 100 measurements (8.00%)
|
||||||
|
1 (1.00%) low mild
|
||||||
|
1 (1.00%) high mild
|
||||||
|
6 (6.00%) high severe
|
||||||
|
|
||||||
|
Benchmarking multiply with seed aadf: 1024: Collecting 100 samples in estimated 5.0886 s (136k itera multiply with seed aadf: 1024
|
||||||
|
time: [37.163 us 37.207 us 37.254 us]
|
||||||
|
change: [-21.403% -20.750% -20.170%] (p = 0.00 < 0.05)
|
||||||
|
Performance has improved.
|
||||||
|
Found 8 outliers among 100 measurements (8.00%)
|
||||||
|
1 (1.00%) low mild
|
||||||
|
1 (1.00%) high mild
|
||||||
|
6 (6.00%) high severe
|
||||||
|
|
||||||
|
Benchmarking square with seed aadf: 2048: Collecting 100 samples in estimated 5.2519 s (76k iteratio square with seed aadf: 2048
|
||||||
|
time: [69.115 us 69.254 us 69.430 us]
|
||||||
|
change: [-28.091% -27.738% -27.341%] (p = 0.00 < 0.05)
|
||||||
|
Performance has improved.
|
||||||
|
Found 8 outliers among 100 measurements (8.00%)
|
||||||
|
1 (1.00%) low mild
|
||||||
|
1 (1.00%) high mild
|
||||||
|
6 (6.00%) high severe
|
||||||
|
|
||||||
|
Benchmarking multiply with seed aadf: 2048: Collecting 100 samples in estimated 5.0554 s (56k iterat multiply with seed aadf: 2048
|
||||||
|
time: [90.922 us 91.057 us 91.201 us]
|
||||||
|
change: [-25.236% -24.794% -24.336%] (p = 0.00 < 0.05)
|
||||||
|
Performance has improved.
|
||||||
|
Found 13 outliers among 100 measurements (13.00%)
|
||||||
|
2 (2.00%) low mild
|
||||||
|
5 (5.00%) high mild
|
||||||
|
6 (6.00%) high severe
|
||||||
|
```
|
||||||
|
|
||||||
|
[Rust]: <https://doc.rust-lang.org/cargo/getting-started/installation.html>
|
||||||
|
|
||||||
|
|
||||||
|
## License
|
||||||
|
|
||||||
|
Copyright 2018 Chia Network Inc and POA Networks Ltd.
|
||||||
|
|
||||||
|
Licensed under the Apache License, Version 2.0 (the "License");
|
||||||
|
you may not use this file except in compliance with the License.
|
||||||
|
You may obtain a copy of the License at
|
||||||
|
|
||||||
|
<http://www.apache.org/licenses/LICENSE-2.0>
|
||||||
|
|
||||||
|
Unless required by applicable law or agreed to in writing, software
|
||||||
|
distributed under the License is distributed on an "AS IS" BASIS,
|
||||||
|
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||||
|
See the License for the specific language governing permissions and
|
||||||
|
limitations under the License.
|
||||||
54
crates/vdf/bench/bench.rs
Normal file
54
crates/vdf/bench/bench.rs
Normal file
@ -0,0 +1,54 @@
|
|||||||
|
// Copyright 2018 POA Networks Ltd.
|
||||||
|
//
|
||||||
|
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||||
|
// you may not use this file except in compliance with the License.
|
||||||
|
// You may obtain a copy of the License at
|
||||||
|
//
|
||||||
|
// http://www.apache.org/licenses/LICENSE-2.0
|
||||||
|
//
|
||||||
|
// Unless required by applicable law or agreed to in writing, software
|
||||||
|
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||||
|
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||||
|
// See the License for the specific language governing permissions and
|
||||||
|
// limitations under the License.
|
||||||
|
|
||||||
|
#[macro_use]
|
||||||
|
extern crate criterion;
|
||||||
|
|
||||||
|
use hex;
|
||||||
|
|
||||||
|
use classgroup::{gmp_classgroup::GmpClassGroup, ClassGroup};
|
||||||
|
use criterion::Criterion;
|
||||||
|
use std::{cell::RefCell, env, rc::Rc};
|
||||||
|
use vdf::create_discriminant;
|
||||||
|
fn bench_square(c: &mut Criterion) {
|
||||||
|
let bench_params = |c: &mut Criterion, len: u16, seed: &[u8]| {
|
||||||
|
let i = Rc::new(RefCell::new(GmpClassGroup::generator_for_discriminant(
|
||||||
|
create_discriminant(seed, len),
|
||||||
|
)));
|
||||||
|
{
|
||||||
|
let i = i.clone();
|
||||||
|
c.bench_function(
|
||||||
|
&format!("square with seed {}: {}", hex::encode(seed), len),
|
||||||
|
move |b| b.iter(|| i.borrow_mut().square()),
|
||||||
|
);
|
||||||
|
}
|
||||||
|
{
|
||||||
|
let multiplier = i.borrow().clone();
|
||||||
|
c.bench_function(
|
||||||
|
&format!("multiply with seed {}: {}", hex::encode(seed), len),
|
||||||
|
move |b| b.iter(|| *i.borrow_mut() *= &multiplier),
|
||||||
|
);
|
||||||
|
}
|
||||||
|
};
|
||||||
|
let seed = env::var("VDF_BENCHMARK_SEED")
|
||||||
|
.ok()
|
||||||
|
.and_then(|x| hex::decode(x).ok())
|
||||||
|
.expect("bug in calling script");
|
||||||
|
for &i in &[512, 1024, 2048] {
|
||||||
|
bench_params(c, i, &seed)
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
criterion_group!(benches, bench_square);
|
||||||
|
criterion_main!(benches);
|
||||||
112
crates/vdf/build.rs
Normal file
112
crates/vdf/build.rs
Normal file
@ -0,0 +1,112 @@
|
|||||||
|
// Copyright 2018 Chia Network Inc and POA Networks Ltd.
|
||||||
|
//
|
||||||
|
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||||
|
// you may not use this file except in compliance with the License.
|
||||||
|
// You may obtain a copy of the License at
|
||||||
|
//
|
||||||
|
// http://www.apache.org/licenses/LICENSE-2.0
|
||||||
|
//
|
||||||
|
// Unless required by applicable law or agreed to in writing, software
|
||||||
|
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||||
|
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||||
|
// See the License for the specific language governing permissions and
|
||||||
|
// limitations under the License.
|
||||||
|
use std::{env, fs::File, io::Write, path::PathBuf, u16};
|
||||||
|
|
||||||
|
/// The number of odd primes less than 65536.
|
||||||
|
const PRIMES_LEN: usize = 6541;
|
||||||
|
|
||||||
|
/// The number of integers that are:
|
||||||
|
///
|
||||||
|
/// * equal to 7 mod 8
|
||||||
|
/// * not divisible by any prime number less than or equal to 13.
|
||||||
|
/// * less than 8 * 3 * 5 * 7 * 11 * 13
|
||||||
|
const RESIDUES_LEN: usize = 5760;
|
||||||
|
|
||||||
|
/// The number of odd prime numbers between 13 and 65536 exclusive.
|
||||||
|
const SIEVE_INFO_LEN: usize = PRIMES_LEN - 5;
|
||||||
|
|
||||||
|
fn odd_primes_below_65536() -> Vec<usize> {
|
||||||
|
const N: usize = 1 << 16;
|
||||||
|
let mut sieve = vec![true; N >> 1];
|
||||||
|
let mut q = (N as f64).powf(0.5) as usize;
|
||||||
|
assert!(q * q <= N);
|
||||||
|
q += 1;
|
||||||
|
assert!(q * q > N);
|
||||||
|
for i in (3..q).step_by(2) {
|
||||||
|
if sieve[i >> 1] {
|
||||||
|
for i in ((i * i >> 1)..sieve.len()).step_by(i) {
|
||||||
|
sieve[i] = false;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
// mega cheat ― we know the exact size of this vector
|
||||||
|
let res: Vec<_> = (1..N / 2)
|
||||||
|
.filter(|&i| sieve[i])
|
||||||
|
.map(|i| 2 * i + 1)
|
||||||
|
.collect();
|
||||||
|
assert_eq!(res.len(), PRIMES_LEN);
|
||||||
|
res
|
||||||
|
}
|
||||||
|
|
||||||
|
fn mod_exponentiation(base: usize, exponent: usize, modulus: usize) -> usize {
|
||||||
|
assert!(base < u16::MAX.into());
|
||||||
|
assert!(exponent < u16::MAX.into());
|
||||||
|
assert!(modulus < u16::MAX.into());
|
||||||
|
let (mut base, mut exponent, modulus) = (base as u32, exponent as u32, modulus as u32);
|
||||||
|
let mut state = 1;
|
||||||
|
loop {
|
||||||
|
if exponent & 1 != 0 {
|
||||||
|
state *= base;
|
||||||
|
state %= modulus;
|
||||||
|
}
|
||||||
|
exponent >>= 1;
|
||||||
|
if exponent == 0 {
|
||||||
|
return state as _;
|
||||||
|
}
|
||||||
|
base *= base;
|
||||||
|
base %= modulus;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
macro_rules! const_fmt {
|
||||||
|
() => {
|
||||||
|
"#[allow(warnings)]\nconst {}: [{}; {}] = {:#?};\n\n";
|
||||||
|
};
|
||||||
|
}
|
||||||
|
|
||||||
|
/// A product of many small prime numbers. We precompute the numbers between
|
||||||
|
/// `1` and `M` that are coprime to `M`. Any number whose residue modulo `M` is
|
||||||
|
/// one of these is not divisible by any of the prime factors of `M`. This
|
||||||
|
/// speeds up the generation of random prime numbers.
|
||||||
|
const M: usize = 8 * 3 * 5 * 7 * 11 * 13;
|
||||||
|
fn emit<T: std::fmt::Debug>(f: &mut dyn Write, name: &str, t: &str, obj: &[T]) {
|
||||||
|
write!(f, const_fmt!(), name, t, obj.len(), obj).expect("i/o error in build script");
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Write the generated code to `f`.
|
||||||
|
fn generate(f: &mut dyn Write) {
|
||||||
|
write!(f, "const M: u32 = 8 * 3 * 5 * 7 * 11 * 13;\n\n").expect("i/o error");
|
||||||
|
let residues: Vec<usize> = {
|
||||||
|
let primes = [3, 5, 7, 11, 13];
|
||||||
|
let not_divisible = |&x: &usize| primes.iter().all(|p| x % p != 0);
|
||||||
|
(7..M).step_by(8).filter(not_divisible).collect()
|
||||||
|
};
|
||||||
|
assert_eq!(residues.len(), RESIDUES_LEN);
|
||||||
|
emit(f, "RESIDUES", "u32", &residues[..]);
|
||||||
|
let sieve_info: Vec<(usize, usize)> = odd_primes_below_65536()[5..]
|
||||||
|
.iter()
|
||||||
|
.map(|&i| (i, mod_exponentiation(M % i, i - 2, i)))
|
||||||
|
.collect();
|
||||||
|
assert_eq!(sieve_info.len(), SIEVE_INFO_LEN);
|
||||||
|
emit(f, "SIEVE_INFO", "(u16, u16)", &sieve_info[..]);
|
||||||
|
}
|
||||||
|
|
||||||
|
fn main() {
|
||||||
|
println!("cargo:rerun-if-changed=build.rs");
|
||||||
|
let manifest_path = env::var("OUT_DIR").expect("cargo should have set this");
|
||||||
|
let mut path = PathBuf::from(&manifest_path);
|
||||||
|
path.push("constants.rs");
|
||||||
|
let mut f = File::create(path).expect("cannot create constants.rs");
|
||||||
|
generate(&mut f);
|
||||||
|
}
|
||||||
199
crates/vdf/src/create_discriminant.rs
Normal file
199
crates/vdf/src/create_discriminant.rs
Normal file
@ -0,0 +1,199 @@
|
|||||||
|
// Copyright 2018 Chia Network Inc and POA Networks Ltd.
|
||||||
|
//
|
||||||
|
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||||
|
// you may not use this file except in compliance with the License.
|
||||||
|
// You may obtain a copy of the License at
|
||||||
|
//
|
||||||
|
// http://www.apache.org/licenses/LICENSE-2.0
|
||||||
|
//
|
||||||
|
// Unless required by applicable law or agreed to in writing, software
|
||||||
|
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||||
|
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||||
|
// See the License for the specific language governing permissions and
|
||||||
|
// limitations under the License.
|
||||||
|
|
||||||
|
//! Creation of discriminants.
|
||||||
|
//!
|
||||||
|
//! The [`pot`] tool does not accept a discriminant as a command-line argument.
|
||||||
|
//! Instead, we generate the discriminant from a (much smaller) seed.
|
||||||
|
//!
|
||||||
|
//! For performance, we follow the Chia network's [`inkfish`] implementation
|
||||||
|
//! of ["Close to Uniform Prime Number Generation With Fewer Random Bits"][1]
|
||||||
|
//! by Pierre-Alain Fouque and Mehdi Tibouchi.
|
||||||
|
//! We employ a table of precomputed constants generated by `build.rs`.
|
||||||
|
//!
|
||||||
|
//! [1]: https://eprint.iacr.org/2011/481.pdf
|
||||||
|
//! [`inkfish`]: <https://github.com/Chia-Network/vdf-competition/blob/003b0d202d3b27058159f7a3f6a838e312e7d79e/inkfish/create_discriminant.py>
|
||||||
|
//! [`pot`]: <https://github.com/Chia-Network/vdf-competition/blob/003b0d202d3b27058159f7a3f6a838e312e7d79e/inkfish/cmds.py>
|
||||||
|
|
||||||
|
include!(concat!(env!("OUT_DIR"), "/constants.rs"));
|
||||||
|
|
||||||
|
use classgroup::BigNumExt;
|
||||||
|
use num_traits::Zero;
|
||||||
|
use sha2::{digest::FixedOutput, Digest, Sha256};
|
||||||
|
use std::u16;
|
||||||
|
|
||||||
|
fn random_bytes_from_seed(seed: &[u8], byte_count: usize) -> Vec<u8> {
|
||||||
|
assert!(byte_count <= 32 * ((1 << 16) - 1));
|
||||||
|
let mut blob = Vec::with_capacity(byte_count);
|
||||||
|
let mut extra: u16 = 0;
|
||||||
|
while blob.len() < byte_count {
|
||||||
|
let mut hasher = Sha256::new();
|
||||||
|
hasher.input(seed);
|
||||||
|
let extra_bits: [u8; 2] = [((extra & 0xFF00) >> 8) as _, (extra & 0xFF) as _];
|
||||||
|
hasher.input(&extra_bits);
|
||||||
|
blob.extend_from_slice(&hasher.fixed_result()[..]);
|
||||||
|
extra += 1;
|
||||||
|
}
|
||||||
|
blob.resize(byte_count, 0);
|
||||||
|
blob
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Create a discriminant from a seed (a byte string) and a bit length (a
|
||||||
|
/// `u16`). The discriminant is guaranteed to be a negative prime number that
|
||||||
|
/// fits in `length` bits, except with negligible probability (less than
|
||||||
|
/// 2^(-100)). It is also guaranteed to equal 7 modulo 8.
|
||||||
|
///
|
||||||
|
/// This function uses sha256 to expand the seed. Therefore, different seeds
|
||||||
|
/// will result in completely different discriminants with overwhelming
|
||||||
|
/// probability, unless `length` is very small. However, this function is
|
||||||
|
/// deterministic: if it is called twice with identical seeds and lengths, it
|
||||||
|
/// will always return the same discriminant.
|
||||||
|
///
|
||||||
|
/// This function is guaranteed not to panic for any inputs whatsoever, unless
|
||||||
|
/// memory allocation fails and the allocator in use panics in that case.
|
||||||
|
pub fn create_discriminant<T: BigNumExt>(seed: &[u8], length: u16) -> T {
|
||||||
|
let (mut n, residue) = {
|
||||||
|
// The number of “extra” bits (that don’t evenly fit in a byte)
|
||||||
|
let extra: u8 = (length as u8) & 7;
|
||||||
|
|
||||||
|
// The number of random bytes needed (the number of bytes that hold `length`
|
||||||
|
// bits, plus 2).
|
||||||
|
let random_bytes_len = ((usize::from(length) + 7) >> 3) + 2;
|
||||||
|
let random_bytes = random_bytes_from_seed(seed, random_bytes_len);
|
||||||
|
let (n, last_2) = random_bytes.split_at(random_bytes_len - 2);
|
||||||
|
let numerator = (usize::from(last_2[0]) << 8) + usize::from(last_2[1]);
|
||||||
|
|
||||||
|
// If there are any extra bits, right shift `n` so that it fits
|
||||||
|
// in `length` bits, discarding the least significant bits.
|
||||||
|
let n = T::from(n) >> usize::from((8 - extra) & 7);
|
||||||
|
(n, RESIDUES[numerator % RESIDUES.len()])
|
||||||
|
};
|
||||||
|
n.setbit(usize::from(length - 1));
|
||||||
|
debug_assert!(n >= Zero::zero());
|
||||||
|
let rem = n.frem_u32(M);
|
||||||
|
|
||||||
|
// HACK HACK `rust-gmp` doesn’t expose += and -= with i32 or i64
|
||||||
|
if residue > rem {
|
||||||
|
n = n + u64::from(residue - rem);
|
||||||
|
} else {
|
||||||
|
n = n - u64::from(rem - residue);
|
||||||
|
}
|
||||||
|
debug_assert!(n >= Zero::zero());
|
||||||
|
|
||||||
|
// This generates the smallest prime ≥ n that is of the form n + m*x.
|
||||||
|
loop {
|
||||||
|
// Speed up prime-finding by quickly ruling out numbers
|
||||||
|
// that are known to be composite.
|
||||||
|
let mut sieve = ::bit_vec::BitVec::from_elem(1 << 16, false);
|
||||||
|
for &(p, q) in SIEVE_INFO.iter() {
|
||||||
|
// The reference implementation changes the sign of `n` before taking its
|
||||||
|
// remainder. Instead, we leave `n` as positive, but use ceiling
|
||||||
|
// division instead of floor division. This is mathematically
|
||||||
|
// equivalent and potentially faster.
|
||||||
|
let mut i: usize = (n.crem_u16(p) as usize * q as usize) % p as usize;
|
||||||
|
while i < sieve.len() {
|
||||||
|
sieve.set(i, true);
|
||||||
|
i += p as usize;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
for (i, x) in sieve.iter().enumerate() {
|
||||||
|
if !x {
|
||||||
|
let q = u64::from(M) * u64::from(i as u32);
|
||||||
|
n = n + q;
|
||||||
|
if n.probab_prime(2) {
|
||||||
|
return -n;
|
||||||
|
}
|
||||||
|
n = n - q;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
// M is set to a number with many prime factors so the results are
|
||||||
|
// more uniform https://eprint.iacr.org/2011/481.pdf
|
||||||
|
// TODO: Explain previous reference to https://eprint.iacr.org/2011/401.pdf
|
||||||
|
n = n + (u64::from(M) * (1 << 16)) as u64
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
#[cfg(test)]
|
||||||
|
mod test {
|
||||||
|
use super::*;
|
||||||
|
use classgroup::{gmp_classgroup::GmpClassGroup, ClassGroup};
|
||||||
|
type Mpz = <GmpClassGroup as ClassGroup>::BigNum;
|
||||||
|
use std::str::FromStr;
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn check_discriminant_1() {
|
||||||
|
assert_eq!(
|
||||||
|
create_discriminant::<Mpz>(b"\xaa", 40),
|
||||||
|
(-685_537_176_559i64).into()
|
||||||
|
);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn check_discriminant_3() {
|
||||||
|
assert_eq!(
|
||||||
|
create_discriminant::<Mpz>(b"\xaa", 1024),
|
||||||
|
Mpz::from_str(
|
||||||
|
"-112084717443890964296630631725167420667316836131914185144761\
|
||||||
|
7438378168250988242739496385274308134767869324152361453294226\
|
||||||
|
8295868231081182819214054220080323345750407342623884342617809\
|
||||||
|
8794592117225058677336074005099949757067786815439982423354682\
|
||||||
|
0386024058617141397148586038290164093146862666602485017735298\
|
||||||
|
03183"
|
||||||
|
)
|
||||||
|
.unwrap()
|
||||||
|
)
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn check_discriminant_2() {
|
||||||
|
assert_eq!(
|
||||||
|
create_discriminant::<Mpz>(b"\xaa", 2048),
|
||||||
|
-Mpz::from_str(
|
||||||
|
"201493927071865251625903550712920535753645598483515670853547009\
|
||||||
|
878440933309489362800393797428711071833308081461824159206915864\
|
||||||
|
150805748296170245037221957772328044276705571745811271212292422\
|
||||||
|
075849739248257870371300001313586036515879618764093772248760562\
|
||||||
|
386804073478433157526816295216137723803793411828867470089409596\
|
||||||
|
238958950007370719325959579892866588928887249912429688364409867\
|
||||||
|
895510817680171869190054122881274299350947669820596157115994418\
|
||||||
|
034091728887584373727555384075665624624856766441009974642693066\
|
||||||
|
751400054217209981490667208950669417773785631693879782993019167\
|
||||||
|
69407006303085854796535778826115224633447713584423"
|
||||||
|
)
|
||||||
|
.unwrap()
|
||||||
|
);
|
||||||
|
}
|
||||||
|
#[test]
|
||||||
|
fn check_random_bytes() {
|
||||||
|
assert_eq!(
|
||||||
|
&random_bytes_from_seed(b"\xaa", 7),
|
||||||
|
b"\x9f\x9d*\xe5\xe7<\xcb"
|
||||||
|
);
|
||||||
|
assert_eq!(
|
||||||
|
&random_bytes_from_seed(b"\xaa", 258)[..],
|
||||||
|
&b"\x9f\x9d*\xe5\xe7<\xcbq\xa4q\x8e\
|
||||||
|
\xbc\xf0\xe3:\xa2\x98\xf8\xbd\xdc\xaa\xcbi\xcb\x10\xff\x0e\xafv\xdb\xec!\xc4K\
|
||||||
|
\xc6Jf\xf3\xa5\xda.7\xb7\xef\x87I\x85\xb8YX\xfc\xf2\x03\xa1\x8f4\xaf`\xab\xae]n\
|
||||||
|
\xcc,g1\x12EI\xc7\xd5\xe2\xfc\x8b\x9a\xde\xd5\xf3\x8f'\xcd\x08\x0fU\xc7\xee\xa85\
|
||||||
|
[>\x87]\x07\x82\x00\x13\xce\xf7\xc3/@\xef\x08v\x8f\x85\x87dm(1\x8b\xd9w\xffA]xzY\
|
||||||
|
\xa0,\xebz\xff\x03$`\x91\xb66\x88-_\xa9\xf1\xc5\x8e,\x15\xae\x8f\x04\rvhnU3f\x84\
|
||||||
|
[{$\xa6l\x95w\xa9\x1f\xba\xa8)\x05\xe6\x8f\x167o\x11/X\x9cl\xab\x9c\xcb}\xec\x88\
|
||||||
|
\xf8\xa5\xabXpY\xb0\x88\xed@r\x05\xba\\\x03\xf6\x91\xf8\x03\xca\x18\x1c\xcdH\x1c\
|
||||||
|
\x91\xe1V\xed;\x94oJ\xa8 \xa4\x97\xb7K\xce\xc4e\xea\xa2\xbf\x8b\x1f\x90\x87\xc8\
|
||||||
|
\x15\xee\x0e\x0fPC:\xb5\xe1g\x97\xea/_\x86c\xaf\x12Wp\xfd\x11\xdb\x17\xe6\x9f\
|
||||||
|
\xa5\x8a"[..]
|
||||||
|
);
|
||||||
|
}
|
||||||
|
}
|
||||||
245
crates/vdf/src/lib.rs
Normal file
245
crates/vdf/src/lib.rs
Normal file
@ -0,0 +1,245 @@
|
|||||||
|
// Copyright 2018 Chia Network Inc and POA Networks Ltd.
|
||||||
|
//
|
||||||
|
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||||
|
// you may not use this file except in compliance with the License.
|
||||||
|
// You may obtain a copy of the License at
|
||||||
|
//
|
||||||
|
// http://www.apache.org/licenses/LICENSE-2.0
|
||||||
|
//
|
||||||
|
// Unless required by applicable law or agreed to in writing, software
|
||||||
|
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||||
|
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||||
|
// See the License for the specific language governing permissions and
|
||||||
|
// limitations under the License.
|
||||||
|
#![deny(warnings)]
|
||||||
|
//! # Rust implementations of class groups and verifyable delay functions
|
||||||
|
//!
|
||||||
|
//! This repo includes three crates
|
||||||
|
//!
|
||||||
|
//! * `classgroup`, which includes a class group implementation, as well as a
|
||||||
|
//! trait for class groups.
|
||||||
|
//! * `vdf`, which includes a Verifyable Delay Function (VDF) trait, as well as
|
||||||
|
//! an implementation of that trait.
|
||||||
|
//! * `vdf-cli`, which includes a command-line interface to the `vdf` crate. It
|
||||||
|
//! also includes additional commands, which are deprecated and will later be
|
||||||
|
//! replaced by a CLI to the `classgroup` crate.
|
||||||
|
//!
|
||||||
|
//! ## Usage
|
||||||
|
//!
|
||||||
|
//! First, install Rust, Cargo, and the GNU Multiprecision Library (GMP). Then,
|
||||||
|
//! follow one of the below steps.
|
||||||
|
//!
|
||||||
|
//! ### To use the command line interface
|
||||||
|
//!
|
||||||
|
//! ```sh
|
||||||
|
//! $ git clone https://github.com/poanetwork/vdf
|
||||||
|
//! $ cd vdf
|
||||||
|
//! $ cargo install
|
||||||
|
//! $ vdf-cli aa 100
|
||||||
|
//! 005271e8f9ab2eb8a2906e851dfcb5542e4173f016b85e29d481a108dc82ed3b3f97937b7aa824801138d1771dea8dae2f6397e76a80613afda30f2c30a34b040baaafe76d5707d68689193e5d211833b372a6a4591abb88e2e7f2f5a5ec818b5707b86b8b2c495ca1581c179168509e3593f9a16879620a4dc4e907df452e8dd0ffc4f199825f54ec70472cc061f22eb54c48d6aa5af3ea375a392ac77294e2d955dde1d102ae2ace494293492d31cff21944a8bcb4608993065c9a00292e8d3f4604e7465b4eeefb494f5bea102db343bb61c5a15c7bdf288206885c130fa1f2d86bf5e4634fdc4216bc16ef7dac970b0ee46d69416f9a9acee651d158ac64915b
|
||||||
|
//! $ vdf-cli aa 100 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
|
||||||
|
//! Proof is valid
|
||||||
|
//! ```
|
||||||
|
//!
|
||||||
|
//! ### To use the VDF library
|
||||||
|
//!
|
||||||
|
//! ```rust
|
||||||
|
//! extern crate vdf;
|
||||||
|
//! use vdf::{InvalidProof, PietrzakVDFParams, VDFParams, WesolowskiVDFParams, VDF};
|
||||||
|
//! const CORRECT_SOLUTION: &[u8] =
|
||||||
|
//! b"\x00\x52\x71\xe8\xf9\xab\x2e\xb8\xa2\x90\x6e\x85\x1d\xfc\xb5\x54\x2e\x41\x73\xf0\x16\
|
||||||
|
//! \xb8\x5e\x29\xd4\x81\xa1\x08\xdc\x82\xed\x3b\x3f\x97\x93\x7b\x7a\xa8\x24\x80\x11\x38\
|
||||||
|
//! \xd1\x77\x1d\xea\x8d\xae\x2f\x63\x97\xe7\x6a\x80\x61\x3a\xfd\xa3\x0f\x2c\x30\xa3\x4b\
|
||||||
|
//! \x04\x0b\xaa\xaf\xe7\x6d\x57\x07\xd6\x86\x89\x19\x3e\x5d\x21\x18\x33\xb3\x72\xa6\xa4\
|
||||||
|
//! \x59\x1a\xbb\x88\xe2\xe7\xf2\xf5\xa5\xec\x81\x8b\x57\x07\xb8\x6b\x8b\x2c\x49\x5c\xa1\
|
||||||
|
//! \x58\x1c\x17\x91\x68\x50\x9e\x35\x93\xf9\xa1\x68\x79\x62\x0a\x4d\xc4\xe9\x07\xdf\x45\
|
||||||
|
//! \x2e\x8d\xd0\xff\xc4\xf1\x99\x82\x5f\x54\xec\x70\x47\x2c\xc0\x61\xf2\x2e\xb5\x4c\x48\
|
||||||
|
//! \xd6\xaa\x5a\xf3\xea\x37\x5a\x39\x2a\xc7\x72\x94\xe2\xd9\x55\xdd\xe1\xd1\x02\xae\x2a\
|
||||||
|
//! \xce\x49\x42\x93\x49\x2d\x31\xcf\xf2\x19\x44\xa8\xbc\xb4\x60\x89\x93\x06\x5c\x9a\x00\
|
||||||
|
//! \x29\x2e\x8d\x3f\x46\x04\xe7\x46\x5b\x4e\xee\xfb\x49\x4f\x5b\xea\x10\x2d\xb3\x43\xbb\
|
||||||
|
//! \x61\xc5\xa1\x5c\x7b\xdf\x28\x82\x06\x88\x5c\x13\x0f\xa1\xf2\xd8\x6b\xf5\xe4\x63\x4f\
|
||||||
|
//! \xdc\x42\x16\xbc\x16\xef\x7d\xac\x97\x0b\x0e\xe4\x6d\x69\x41\x6f\x9a\x9a\xce\xe6\x51\
|
||||||
|
//! \xd1\x58\xac\x64\x91\x5b";
|
||||||
|
//!
|
||||||
|
//! fn main() {
|
||||||
|
//! let pietrzak_vdf = PietrzakVDFParams(2048).new();
|
||||||
|
//! assert_eq!(
|
||||||
|
//! &pietrzak_vdf.solve(b"\xaa", 100).unwrap()[..],
|
||||||
|
//! CORRECT_SOLUTION
|
||||||
|
//! );
|
||||||
|
//! assert!(pietrzak_vdf.verify(b"\xaa", 100, CORRECT_SOLUTION).is_ok());
|
||||||
|
//! }
|
||||||
|
//! ```
|
||||||
|
//!
|
||||||
|
//! ### To run the benchmarks
|
||||||
|
//!
|
||||||
|
//! Benchmarks are provided for the classgroup operations. Run `cargo bench`
|
||||||
|
//! to run them. Additional benchmarks are under development.
|
||||||
|
use classgroup;
|
||||||
|
|
||||||
|
mod create_discriminant;
|
||||||
|
use std::fmt::Debug;
|
||||||
|
|
||||||
|
pub use self::{
|
||||||
|
create_discriminant::create_discriminant,
|
||||||
|
proof_pietrzak::{PietrzakVDF, PietrzakVDFParams},
|
||||||
|
proof_wesolowski::{WesolowskiVDF, WesolowskiVDFParams},
|
||||||
|
};
|
||||||
|
|
||||||
|
/// Message used to report an internal miscalculation of serialization buffer
|
||||||
|
/// sizes.
|
||||||
|
const INCORRECT_BUFFER_SIZE: &str =
|
||||||
|
"internal error: incorrect buffer size calculation (this is a bug)";
|
||||||
|
|
||||||
|
mod proof_of_time;
|
||||||
|
mod proof_pietrzak;
|
||||||
|
mod proof_wesolowski;
|
||||||
|
|
||||||
|
/// An empty struct indicating verification failure.
|
||||||
|
///
|
||||||
|
/// For security reasons, the functions that perform verification *do not*
|
||||||
|
/// return any information on failure. Use `VDF::validate_params` to check if
|
||||||
|
/// the parameters are correct.
|
||||||
|
#[derive(Clone, Copy, Eq, PartialEq, PartialOrd, Ord, Hash, Debug)]
|
||||||
|
pub struct InvalidProof;
|
||||||
|
|
||||||
|
/// An error return indicating an invalid number of iterations. The string is a
|
||||||
|
/// human-readable message describing the valid iterations. It should not be
|
||||||
|
/// interpreted by programs.
|
||||||
|
#[derive(Clone, Eq, PartialEq, PartialOrd, Ord, Hash, Debug)]
|
||||||
|
pub struct InvalidIterations(String);
|
||||||
|
|
||||||
|
/// The type of VDF parameters.
|
||||||
|
///
|
||||||
|
/// Parameters represent public information that can be shared by all users
|
||||||
|
/// of the protocol. As such, they must implement `Clone`, so that they can
|
||||||
|
/// be duplicated. They also must implement `Send`, so that a parallel
|
||||||
|
/// application can send them safely across threads.
|
||||||
|
///
|
||||||
|
/// The parameters *do not* include the difficulty level (usually an
|
||||||
|
/// iteration count), since that can be separate for each invocation.
|
||||||
|
///
|
||||||
|
/// This must implement `Clone` and `Eq`.
|
||||||
|
pub trait VDFParams: Clone + Eq {
|
||||||
|
type VDF: VDF + Sized;
|
||||||
|
|
||||||
|
/// Creates an instance of this VDF from the given parameters.
|
||||||
|
///
|
||||||
|
/// # Performance
|
||||||
|
///
|
||||||
|
/// This method is expected to be fairly cheap. For example, it is okay if
|
||||||
|
/// it allocates memory, but it should not perform expensive computations or
|
||||||
|
/// I/O.
|
||||||
|
///
|
||||||
|
/// # Panics
|
||||||
|
///
|
||||||
|
/// This method **MUST NOT** fail due to invalid values for `params`. Such
|
||||||
|
/// errors should be checked by the factory functions for `Self::Params`.
|
||||||
|
///
|
||||||
|
/// This function **MAY** panic for other reasons. For example, it is
|
||||||
|
/// allowed to panic if an allocation fails, or if a needed external library
|
||||||
|
/// could not be dynamically loaded.
|
||||||
|
fn new(self) -> Self::VDF;
|
||||||
|
}
|
||||||
|
|
||||||
|
/// A Verifiable Delay Function (VDF).
|
||||||
|
///
|
||||||
|
/// VDFs are problems that require a certain amount of time to solve, even on a
|
||||||
|
/// parallel machine, but can be validated much more easily.
|
||||||
|
///
|
||||||
|
/// While VDFs are considered to be cryptographic primitives, they generally do
|
||||||
|
/// *not* operate on highly sensitive data. As such, implementers of this trait
|
||||||
|
/// **do not** guarantee that they will be immune to side-channel attacks, and
|
||||||
|
/// consumers of this trait **MUST NOT** expect this.
|
||||||
|
///
|
||||||
|
/// Instances of this trait are *not* expected to be `Sync`. This allows them
|
||||||
|
/// to reuse allocations (such as scratch memory) accross invocations without
|
||||||
|
/// the need for locking. However, they **MUST** be `Send` and `Clone`, so that
|
||||||
|
/// consumers can duplicate them and send them across threads.
|
||||||
|
pub trait VDF: Send + Debug {
|
||||||
|
/// Solve an instance of this VDF, with challenge `challenge` and difficulty
|
||||||
|
/// `difficulty`.
|
||||||
|
///
|
||||||
|
/// The output is to be returned in a `Vec<u8>`, so it can be stored to disk
|
||||||
|
/// or sent over the network.
|
||||||
|
///
|
||||||
|
/// # Challenge format
|
||||||
|
///
|
||||||
|
/// The challenge is an opaque byte string of arbitrary length.
|
||||||
|
/// Implementors **MUST NOT** make any assumptions about its contents,
|
||||||
|
/// and **MUST** produce distinct outputs for distinct challenges
|
||||||
|
/// (except with negiligible probability).
|
||||||
|
///
|
||||||
|
/// This can be most easily implemented by using the challenge as part of
|
||||||
|
/// the input of a cryptographic hash function. The VDFs provided in this
|
||||||
|
/// crate use this strategy.
|
||||||
|
///
|
||||||
|
/// The difficulty must be checked before performing any expensive
|
||||||
|
/// computations.
|
||||||
|
///
|
||||||
|
/// Most applications will generate the challenge using a
|
||||||
|
/// cryptographically-secure pseudorandom number generator, but implementors
|
||||||
|
/// **MUST NOT** rely on this. In particular, this function must be secure
|
||||||
|
/// even if `challenge` is chosen by an adversary. Excessive values for
|
||||||
|
/// `difficulty` may cause excessive resource consumption, but must not
|
||||||
|
/// create any other vulnerabilities.
|
||||||
|
///
|
||||||
|
/// # Complexity
|
||||||
|
///
|
||||||
|
/// The VDFs in this crate consume memory that does not depend on
|
||||||
|
/// `difficulty`, and time linearly proportional to `difficulty`.
|
||||||
|
/// Implementors of this trait should document the resource use.
|
||||||
|
///
|
||||||
|
/// # Purity
|
||||||
|
///
|
||||||
|
/// This method must have no side effects. In particular, it must be
|
||||||
|
/// **deterministic**: it must always return the same output for the same
|
||||||
|
/// inputs, except with negligible probability. Furthermore, while it may
|
||||||
|
/// change `self` via interior mutability, such changes must not affect
|
||||||
|
/// future calls to this method, `Self::check_difficulty`, or
|
||||||
|
/// `Self::verify`. They *may* affect the `Debug` output.
|
||||||
|
fn solve(&self, challenge: &[u8], difficulty: u64) -> Result<Vec<u8>, InvalidIterations>;
|
||||||
|
|
||||||
|
/// Check that the difficulty is valid.
|
||||||
|
///
|
||||||
|
/// This must return `Ok` if and only if `difficulty` is valid. Otherwise,
|
||||||
|
/// it must return `Err`.
|
||||||
|
///
|
||||||
|
/// # Rationale
|
||||||
|
///
|
||||||
|
/// It would be more ideomatic Rust to use the type system to enforce that a
|
||||||
|
/// difficulty has been validated before use. However, I (Demi) have not
|
||||||
|
/// yet figured out an object-safe way to do so.
|
||||||
|
fn check_difficulty(&self, difficulty: u64) -> Result<(), InvalidIterations>;
|
||||||
|
|
||||||
|
/// Verifies an alleged solution of this VDF, with challenge `challenge` and
|
||||||
|
/// difficulty `difficulty`. Return `Ok(())` on success, or
|
||||||
|
/// `Err(InvalidProof)` on failure.
|
||||||
|
///
|
||||||
|
/// This function *does not* return any extended error information for
|
||||||
|
/// security reasons. To check that the difficulty is correct, call
|
||||||
|
/// `Self::check_difficulty`.
|
||||||
|
///
|
||||||
|
/// # Uniqueness of valid solutions
|
||||||
|
///
|
||||||
|
/// For any `(challenge, difficulty)` tuple, there must be at most one
|
||||||
|
/// `alleged_solution` (as measured by `Eq`) that causes this function to
|
||||||
|
/// return `Ok(())`. If the difficulty is valid (as determined by
|
||||||
|
/// `check_difficulty`), there must be exactly one such solution; otherwise,
|
||||||
|
/// there must be none.
|
||||||
|
///
|
||||||
|
/// # Purity
|
||||||
|
///
|
||||||
|
/// This method must have no side effects. In particular, it must be
|
||||||
|
/// **deterministic**: it must always return the same output for the same
|
||||||
|
/// inputs. Furthermore, while it may change `self` via interior
|
||||||
|
/// mutability, such changes must not affect future calls to this method,
|
||||||
|
/// `Self::prove`, or `Self::check_difficulty`. Such changes **MAY** affect
|
||||||
|
/// debugging output.
|
||||||
|
fn verify(
|
||||||
|
&self,
|
||||||
|
challenge: &[u8],
|
||||||
|
difficulty: u64,
|
||||||
|
alleged_solution: &[u8],
|
||||||
|
) -> Result<(), InvalidProof>;
|
||||||
|
}
|
||||||
88
crates/vdf/src/proof_of_time.rs
Normal file
88
crates/vdf/src/proof_of_time.rs
Normal file
@ -0,0 +1,88 @@
|
|||||||
|
// Copyright 2018 Chia Network Inc and POA Networks Ltd.
|
||||||
|
//
|
||||||
|
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||||
|
// you may not use this file except in compliance with the License.
|
||||||
|
// You may obtain a copy of the License at
|
||||||
|
//
|
||||||
|
// http://www.apache.org/licenses/LICENSE-2.0
|
||||||
|
//
|
||||||
|
// Unless required by applicable law or agreed to in writing, software
|
||||||
|
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||||
|
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||||
|
// See the License for the specific language governing permissions and
|
||||||
|
// limitations under the License.
|
||||||
|
use super::classgroup::ClassGroup;
|
||||||
|
use std::{collections::HashMap, usize};
|
||||||
|
|
||||||
|
pub fn serialize<V: ClassGroup>(proof: &[V], y: &V, int_size_bits: usize) -> Vec<u8> {
|
||||||
|
let proof_len = proof.len();
|
||||||
|
let element_length = 2 * ((int_size_bits + 16) >> 4);
|
||||||
|
let proof_len_in_bytes = (proof_len + 1) * element_length;
|
||||||
|
let mut v = vec![0; proof_len_in_bytes];
|
||||||
|
y.serialize(&mut v[0..element_length])
|
||||||
|
.expect(super::INCORRECT_BUFFER_SIZE);
|
||||||
|
for (index, group) in proof.iter().enumerate() {
|
||||||
|
let offset = (index + 1) * element_length;
|
||||||
|
group
|
||||||
|
.serialize(&mut v[offset..offset + element_length])
|
||||||
|
.expect(super::INCORRECT_BUFFER_SIZE)
|
||||||
|
}
|
||||||
|
v
|
||||||
|
}
|
||||||
|
pub fn deserialize_proof<T>(
|
||||||
|
proof_blob: &[u8],
|
||||||
|
discriminant: &T::BigNum,
|
||||||
|
orig_length: usize,
|
||||||
|
) -> Result<Vec<T>, ()>
|
||||||
|
where
|
||||||
|
T: ClassGroup,
|
||||||
|
for<'a, 'b> &'a T: std::ops::Mul<&'b T, Output = T>,
|
||||||
|
for<'a, 'b> &'a T::BigNum: std::ops::Mul<&'b T::BigNum, Output = T::BigNum>,
|
||||||
|
{
|
||||||
|
let length = T::size_in_bits(discriminant);
|
||||||
|
if length > usize::MAX - 16 {
|
||||||
|
return Err(());
|
||||||
|
}
|
||||||
|
let length = (length + 16) >> 4;
|
||||||
|
if length == 0 {
|
||||||
|
return Err(());
|
||||||
|
}
|
||||||
|
if orig_length != length {
|
||||||
|
return Err(());
|
||||||
|
}
|
||||||
|
let length = length * 2;
|
||||||
|
let proof_blob_length = proof_blob.len();
|
||||||
|
let rem = proof_blob_length % length;
|
||||||
|
if rem != 0 {
|
||||||
|
return Err(());
|
||||||
|
}
|
||||||
|
let proof_len = proof_blob_length / length;
|
||||||
|
let mut v = Vec::with_capacity(proof_len);
|
||||||
|
for i in 0..proof_len {
|
||||||
|
let offset = i * length;
|
||||||
|
v.push(T::from_bytes(
|
||||||
|
&proof_blob[offset..offset + length],
|
||||||
|
discriminant.clone(),
|
||||||
|
))
|
||||||
|
}
|
||||||
|
Ok(v)
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn iterate_squarings<V, U>(mut x: V, powers_to_calculate: U) -> HashMap<u64, V>
|
||||||
|
where
|
||||||
|
V: ClassGroup,
|
||||||
|
for<'a, 'b> &'a V: std::ops::Mul<&'b V, Output = V>,
|
||||||
|
for<'a, 'b> &'a V::BigNum: std::ops::Mul<&'b V::BigNum, Output = V::BigNum>,
|
||||||
|
U: Iterator<Item = u64>,
|
||||||
|
{
|
||||||
|
let mut powers_calculated = HashMap::new();
|
||||||
|
let mut powers_to_calculate: Vec<u64> = powers_to_calculate.collect();
|
||||||
|
powers_to_calculate.sort_unstable();
|
||||||
|
let mut previous_power: u64 = 0;
|
||||||
|
for ¤t_power in &powers_to_calculate {
|
||||||
|
x.repeated_square(current_power - previous_power);
|
||||||
|
powers_calculated.insert(current_power, x.clone());
|
||||||
|
previous_power = current_power
|
||||||
|
}
|
||||||
|
powers_calculated
|
||||||
|
}
|
||||||
466
crates/vdf/src/proof_pietrzak.rs
Normal file
466
crates/vdf/src/proof_pietrzak.rs
Normal file
@ -0,0 +1,466 @@
|
|||||||
|
// Copyright 2018 Chia Network Inc and POA Networks Ltd.
|
||||||
|
//
|
||||||
|
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||||
|
// you may not use this file except in compliance with the License.
|
||||||
|
// You may obtain a copy of the License at
|
||||||
|
//
|
||||||
|
// http://www.apache.org/licenses/LICENSE-2.0
|
||||||
|
//
|
||||||
|
// Unless required by applicable law or agreed to in writing, software
|
||||||
|
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||||
|
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||||
|
// See the License for the specific language governing permissions and
|
||||||
|
// limitations under the License.
|
||||||
|
use super::proof_of_time::{deserialize_proof, iterate_squarings, serialize};
|
||||||
|
use classgroup::{gmp_classgroup::GmpClassGroup, BigNumExt, ClassGroup};
|
||||||
|
use num_traits::{One, Zero};
|
||||||
|
use std::{fmt, num::ParseIntError, ops::Index, str::FromStr, u64, usize};
|
||||||
|
|
||||||
|
#[derive(PartialEq, Eq, Hash, PartialOrd, Ord, Copy, Clone, Debug)]
|
||||||
|
pub struct Iterations(u64);
|
||||||
|
|
||||||
|
#[derive(PartialEq, Eq, Hash, Ord, PartialOrd, Copy, Clone, Debug)]
|
||||||
|
pub enum InvalidIterations {
|
||||||
|
OddNumber(u64),
|
||||||
|
LessThan66(u64),
|
||||||
|
}
|
||||||
|
|
||||||
|
#[derive(PartialEq, Eq, Clone, Debug)]
|
||||||
|
pub struct ParseIterationsError {
|
||||||
|
kind: Result<InvalidIterations, ParseIntError>,
|
||||||
|
}
|
||||||
|
|
||||||
|
impl From<InvalidIterations> for ParseIterationsError {
|
||||||
|
fn from(t: InvalidIterations) -> Self {
|
||||||
|
Self { kind: Ok(t) }
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
impl From<ParseIntError> for ParseIterationsError {
|
||||||
|
fn from(t: ParseIntError) -> Self {
|
||||||
|
Self { kind: Err(t) }
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
impl fmt::Display for InvalidIterations {
|
||||||
|
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
|
||||||
|
match *self {
|
||||||
|
InvalidIterations::OddNumber(s) => {
|
||||||
|
write!(f, "Pietrzak iterations must be an even number, not {}", s)
|
||||||
|
}
|
||||||
|
InvalidIterations::LessThan66(s) => write!(
|
||||||
|
f,
|
||||||
|
"Pietrzak proof-of-time must run for at least 66 iterations, not {}",
|
||||||
|
s
|
||||||
|
),
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
impl From<Iterations> for u64 {
|
||||||
|
fn from(t: Iterations) -> u64 {
|
||||||
|
t.0
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
impl fmt::Display for ParseIterationsError {
|
||||||
|
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
|
||||||
|
match self.kind {
|
||||||
|
Ok(ref q) => <InvalidIterations as fmt::Display>::fmt(q, f),
|
||||||
|
Err(ref q) => <ParseIntError as fmt::Display>::fmt(q, f),
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
impl FromStr for Iterations {
|
||||||
|
type Err = ParseIterationsError;
|
||||||
|
fn from_str(s: &str) -> Result<Self, Self::Err> {
|
||||||
|
Self::new(s.parse::<u64>().map_err(ParseIterationsError::from)?)
|
||||||
|
.map_err(ParseIterationsError::from)
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
impl Iterations {
|
||||||
|
pub fn new<T: Into<u64>>(iterations: T) -> Result<Iterations, InvalidIterations> {
|
||||||
|
let iterations = iterations.into();
|
||||||
|
if iterations & 1 != 0 {
|
||||||
|
Err(InvalidIterations::OddNumber(iterations))
|
||||||
|
} else if iterations < 66 {
|
||||||
|
Err(InvalidIterations::LessThan66(iterations))
|
||||||
|
} else {
|
||||||
|
Ok(Iterations(iterations))
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Selects a reasonable choice of cache size.
|
||||||
|
fn approximate_i(t: Iterations) -> u64 {
|
||||||
|
let x: f64 = (((t.0 >> 1) as f64) / 8.) * 2.0f64.ln();
|
||||||
|
let w = x.ln() - x.ln().ln() + 0.25;
|
||||||
|
(w / (2. * 2.0f64.ln())).round() as _
|
||||||
|
}
|
||||||
|
|
||||||
|
fn sum_combinations<'a, T: IntoIterator<Item = &'a u64>>(numbers: T) -> Vec<u64> {
|
||||||
|
let mut combinations = vec![0];
|
||||||
|
for i in numbers {
|
||||||
|
let mut new_combinations = combinations.clone();
|
||||||
|
for j in combinations {
|
||||||
|
new_combinations.push(i + j)
|
||||||
|
}
|
||||||
|
combinations = new_combinations
|
||||||
|
}
|
||||||
|
combinations.remove(0);
|
||||||
|
combinations
|
||||||
|
}
|
||||||
|
|
||||||
|
fn cache_indices_for_count(t: Iterations) -> Vec<u64> {
|
||||||
|
let i: u64 = approximate_i(t);
|
||||||
|
let mut curr_t = t.0;
|
||||||
|
let mut intermediate_ts = vec![];
|
||||||
|
for _ in 0..i {
|
||||||
|
curr_t >>= 1;
|
||||||
|
intermediate_ts.push(curr_t);
|
||||||
|
if curr_t & 1 != 0 {
|
||||||
|
curr_t += 1
|
||||||
|
}
|
||||||
|
}
|
||||||
|
let mut cache_indices = sum_combinations(&intermediate_ts);
|
||||||
|
cache_indices.sort();
|
||||||
|
cache_indices.push(t.0);
|
||||||
|
cache_indices
|
||||||
|
}
|
||||||
|
|
||||||
|
fn generate_r_value<T>(x: &T, y: &T, sqrt_mu: &T, int_size_bits: usize) -> T::BigNum
|
||||||
|
where
|
||||||
|
T: ClassGroup,
|
||||||
|
for<'a, 'b> &'a T: std::ops::Mul<&'b T, Output = T>,
|
||||||
|
for<'a, 'b> &'a T::BigNum: std::ops::Mul<&'b T::BigNum, Output = T::BigNum>,
|
||||||
|
{
|
||||||
|
use sha2::{digest::FixedOutput, Digest, Sha256};
|
||||||
|
|
||||||
|
let size = (int_size_bits + 16) >> 4;
|
||||||
|
let mut v = Vec::with_capacity(size * 2);
|
||||||
|
for _ in 0..size * 2 {
|
||||||
|
v.push(0)
|
||||||
|
}
|
||||||
|
let mut hasher = Sha256::new();
|
||||||
|
for i in &[&x, &y, &sqrt_mu] {
|
||||||
|
i.serialize(&mut v).expect(super::INCORRECT_BUFFER_SIZE);
|
||||||
|
hasher.input(&v);
|
||||||
|
}
|
||||||
|
let res = hasher.fixed_result();
|
||||||
|
T::unsigned_deserialize_bignum(&res[..16])
|
||||||
|
}
|
||||||
|
|
||||||
|
fn create_proof_of_time_pietrzak<T>(
|
||||||
|
challenge: &[u8],
|
||||||
|
iterations: Iterations,
|
||||||
|
int_size_bits: u16,
|
||||||
|
) -> Vec<u8>
|
||||||
|
where
|
||||||
|
T: ClassGroup,
|
||||||
|
<T as ClassGroup>::BigNum: BigNumExt,
|
||||||
|
for<'a, 'b> &'a T: std::ops::Mul<&'b T, Output = T>,
|
||||||
|
for<'a, 'b> &'a T::BigNum: std::ops::Mul<&'b T::BigNum, Output = T::BigNum>,
|
||||||
|
{
|
||||||
|
let discriminant = super::create_discriminant::create_discriminant(&challenge, int_size_bits);
|
||||||
|
let x = T::from_ab_discriminant(2.into(), 1.into(), discriminant);
|
||||||
|
|
||||||
|
let delta = 8;
|
||||||
|
let powers_to_calculate = cache_indices_for_count(iterations);
|
||||||
|
let powers = iterate_squarings(x.clone(), powers_to_calculate.iter().cloned());
|
||||||
|
let proof: Vec<T> = generate_proof(
|
||||||
|
x,
|
||||||
|
iterations,
|
||||||
|
delta,
|
||||||
|
&powers,
|
||||||
|
&generate_r_value,
|
||||||
|
usize::from(int_size_bits),
|
||||||
|
);
|
||||||
|
serialize(
|
||||||
|
&proof,
|
||||||
|
&powers[&iterations.into()],
|
||||||
|
usize::from(int_size_bits),
|
||||||
|
)
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn check_proof_of_time_pietrzak<T>(
|
||||||
|
challenge: &[u8],
|
||||||
|
proof_blob: &[u8],
|
||||||
|
iterations: u64,
|
||||||
|
length_in_bits: u16,
|
||||||
|
) -> Result<(), super::InvalidProof>
|
||||||
|
where
|
||||||
|
T: ClassGroup,
|
||||||
|
T::BigNum: BigNumExt,
|
||||||
|
for<'a, 'b> &'a T: std::ops::Mul<&'b T, Output = T>,
|
||||||
|
for<'a, 'b> &'a T::BigNum: std::ops::Mul<&'b T::BigNum, Output = T::BigNum>,
|
||||||
|
{
|
||||||
|
let discriminant = super::create_discriminant::create_discriminant(&challenge, length_in_bits);
|
||||||
|
let x = T::from_ab_discriminant(2.into(), 1.into(), discriminant);
|
||||||
|
let iterations = Iterations::new(iterations).map_err(|_| super::InvalidProof)?;
|
||||||
|
if usize::MAX - 16 < length_in_bits.into() {
|
||||||
|
// Proof way too long.
|
||||||
|
return Err(super::InvalidProof);
|
||||||
|
}
|
||||||
|
let length: usize = (usize::from(length_in_bits) + 16usize) >> 4;
|
||||||
|
if proof_blob.len() < 2 * length {
|
||||||
|
// Invalid length of proof
|
||||||
|
return Err(super::InvalidProof);
|
||||||
|
}
|
||||||
|
let result_bytes = &proof_blob[..length * 2];
|
||||||
|
let proof_bytes = &proof_blob[length * 2..];
|
||||||
|
let discriminant = x.discriminant().clone();
|
||||||
|
let proof =
|
||||||
|
deserialize_proof(proof_bytes, &discriminant, length).map_err(|()| super::InvalidProof)?;
|
||||||
|
let y = T::from_bytes(result_bytes, discriminant);
|
||||||
|
verify_proof(
|
||||||
|
&x,
|
||||||
|
&y,
|
||||||
|
proof,
|
||||||
|
iterations,
|
||||||
|
8,
|
||||||
|
&generate_r_value,
|
||||||
|
length_in_bits.into(),
|
||||||
|
)
|
||||||
|
.map_err(|()| super::InvalidProof)
|
||||||
|
}
|
||||||
|
|
||||||
|
fn calculate_final_t(t: Iterations, delta: usize) -> u64 {
|
||||||
|
let mut curr_t = t.0;
|
||||||
|
let mut ts = vec![];
|
||||||
|
while curr_t != 2 {
|
||||||
|
ts.push(curr_t);
|
||||||
|
curr_t >>= 1;
|
||||||
|
if curr_t & 1 == 1 {
|
||||||
|
curr_t += 1
|
||||||
|
}
|
||||||
|
}
|
||||||
|
ts.push(2);
|
||||||
|
ts.push(1);
|
||||||
|
assert!(ts.len() >= delta);
|
||||||
|
ts[ts.len() - delta]
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn generate_proof<T, U, V>(
|
||||||
|
x: V,
|
||||||
|
iterations: Iterations,
|
||||||
|
delta: usize,
|
||||||
|
powers: &T,
|
||||||
|
generate_r_value: &U,
|
||||||
|
int_size_bits: usize,
|
||||||
|
) -> Vec<V>
|
||||||
|
where
|
||||||
|
T: for<'a> Index<&'a u64, Output = V>,
|
||||||
|
U: Fn(&V, &V, &V, usize) -> V::BigNum,
|
||||||
|
V: ClassGroup,
|
||||||
|
for<'a, 'b> &'a V: std::ops::Mul<&'b V, Output = V>,
|
||||||
|
for<'a, 'b> &'a V::BigNum: std::ops::Mul<&'b V::BigNum, Output = V::BigNum>,
|
||||||
|
{
|
||||||
|
let identity = x.identity();
|
||||||
|
let i = approximate_i(iterations);
|
||||||
|
let mut mus = vec![];
|
||||||
|
let mut rs: Vec<V::BigNum> = vec![];
|
||||||
|
let mut x_p = vec![x];
|
||||||
|
let mut curr_t = iterations.0;
|
||||||
|
|
||||||
|
let mut y_p = vec![powers[&curr_t].clone()];
|
||||||
|
|
||||||
|
let mut ts = vec![];
|
||||||
|
|
||||||
|
let final_t = calculate_final_t(iterations, delta);
|
||||||
|
|
||||||
|
let mut round_index = 0;
|
||||||
|
while curr_t != final_t {
|
||||||
|
assert_eq!(curr_t & 1, 0);
|
||||||
|
let half_t = curr_t >> 1;
|
||||||
|
ts.push(half_t);
|
||||||
|
assert!(round_index < 63);
|
||||||
|
let denominator: u64 = 1 << (round_index + 1);
|
||||||
|
|
||||||
|
mus.push(if round_index < i {
|
||||||
|
let mut mu = identity.clone();
|
||||||
|
for numerator in (1..denominator).step_by(2) {
|
||||||
|
let num_bits = 62 - denominator.leading_zeros() as usize;
|
||||||
|
let mut r_prod: V::BigNum = One::one();
|
||||||
|
for b in (0..num_bits).rev() {
|
||||||
|
if 0 == (numerator & (1 << (b + 1))) {
|
||||||
|
r_prod *= &rs[num_bits - b - 1]
|
||||||
|
}
|
||||||
|
}
|
||||||
|
let mut t_sum = half_t;
|
||||||
|
for b in 0..num_bits {
|
||||||
|
if 0 != (numerator & (1 << (b + 1))) {
|
||||||
|
t_sum += ts[num_bits - b - 1]
|
||||||
|
}
|
||||||
|
}
|
||||||
|
let mut power = powers[&t_sum].clone();
|
||||||
|
power.pow(r_prod);
|
||||||
|
mu *= &power;
|
||||||
|
}
|
||||||
|
mu
|
||||||
|
} else {
|
||||||
|
let mut mu = x_p.last().unwrap().clone();
|
||||||
|
for _ in 0..half_t {
|
||||||
|
mu *= &mu.clone()
|
||||||
|
}
|
||||||
|
mu
|
||||||
|
});
|
||||||
|
let mut mu: V = mus.last().unwrap().clone();
|
||||||
|
let last_r: V::BigNum = generate_r_value(&x_p[0], &y_p[0], &mu, int_size_bits);
|
||||||
|
assert!(last_r >= Zero::zero());
|
||||||
|
rs.push(last_r.clone());
|
||||||
|
{
|
||||||
|
let mut last_x: V = x_p.last().unwrap().clone();
|
||||||
|
last_x.pow(last_r.clone());
|
||||||
|
last_x *= μ
|
||||||
|
x_p.push(last_x);
|
||||||
|
}
|
||||||
|
mu.pow(last_r);
|
||||||
|
mu *= y_p.last().unwrap();
|
||||||
|
y_p.push(mu);
|
||||||
|
curr_t >>= 1;
|
||||||
|
if curr_t & 1 != 0 {
|
||||||
|
curr_t += 1;
|
||||||
|
y_p.last_mut().unwrap().square();
|
||||||
|
}
|
||||||
|
round_index += 1
|
||||||
|
}
|
||||||
|
if cfg!(debug_assertions) {
|
||||||
|
let mut last_y = y_p.last().unwrap().clone();
|
||||||
|
let mut last_x = x_p.last().unwrap().clone();
|
||||||
|
let one: V::BigNum = 1u64.into();
|
||||||
|
last_y.pow(one.clone());
|
||||||
|
assert_eq!(last_y, y_p.last().unwrap().clone());
|
||||||
|
last_x.pow(one << final_t as usize);
|
||||||
|
}
|
||||||
|
mus
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn verify_proof<T, U, V>(
|
||||||
|
x_initial: &V,
|
||||||
|
y_initial: &V,
|
||||||
|
proof: T,
|
||||||
|
t: Iterations,
|
||||||
|
delta: usize,
|
||||||
|
generate_r_value: &U,
|
||||||
|
int_size_bits: usize,
|
||||||
|
) -> Result<(), ()>
|
||||||
|
where
|
||||||
|
T: IntoIterator<Item = V>,
|
||||||
|
U: Fn(&V, &V, &V, usize) -> V::BigNum,
|
||||||
|
V: ClassGroup,
|
||||||
|
for<'a, 'b> &'a V: std::ops::Mul<&'b V, Output = V>,
|
||||||
|
for<'a, 'b> &'a V::BigNum: std::ops::Mul<&'b V::BigNum, Output = V::BigNum>,
|
||||||
|
{
|
||||||
|
let mut one: V::BigNum = One::one();
|
||||||
|
let (mut x, mut y): (V, V) = (x_initial.clone(), y_initial.clone());
|
||||||
|
let final_t = calculate_final_t(t, delta);
|
||||||
|
let mut curr_t = t.0;
|
||||||
|
for mut mu in proof {
|
||||||
|
assert!(
|
||||||
|
curr_t & 1 == 0,
|
||||||
|
"Cannot have an odd number of iterations remaining"
|
||||||
|
);
|
||||||
|
let r = generate_r_value(x_initial, y_initial, &mu, int_size_bits);
|
||||||
|
x.pow(r.clone());
|
||||||
|
x *= μ
|
||||||
|
mu.pow(r);
|
||||||
|
y *= μ
|
||||||
|
|
||||||
|
curr_t >>= 1;
|
||||||
|
if curr_t & 1 != 0 {
|
||||||
|
curr_t += 1;
|
||||||
|
y.square();
|
||||||
|
}
|
||||||
|
}
|
||||||
|
one <<= final_t as _;
|
||||||
|
x.pow(one);
|
||||||
|
if x == y {
|
||||||
|
Ok(())
|
||||||
|
} else {
|
||||||
|
Err(())
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
#[derive(Debug, Clone)]
|
||||||
|
pub struct PietrzakVDF {
|
||||||
|
int_size_bits: u16,
|
||||||
|
}
|
||||||
|
use super::InvalidIterations as Bad;
|
||||||
|
|
||||||
|
#[derive(Clone, Copy, Eq, PartialEq, PartialOrd, Ord, Hash, Debug)]
|
||||||
|
pub struct PietrzakVDFParams(pub u16);
|
||||||
|
impl super::VDFParams for PietrzakVDFParams {
|
||||||
|
type VDF = PietrzakVDF;
|
||||||
|
fn new(self) -> Self::VDF {
|
||||||
|
PietrzakVDF {
|
||||||
|
int_size_bits: self.0,
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
impl super::VDF for PietrzakVDF {
|
||||||
|
fn check_difficulty(&self, difficulty: u64) -> Result<(), Bad> {
|
||||||
|
Iterations::new(difficulty)
|
||||||
|
.map_err(|x| Bad(format!("{}", x)))
|
||||||
|
.map(drop)
|
||||||
|
}
|
||||||
|
fn solve(&self, challenge: &[u8], difficulty: u64) -> Result<Vec<u8>, Bad> {
|
||||||
|
Ok(create_proof_of_time_pietrzak::<GmpClassGroup>(
|
||||||
|
challenge,
|
||||||
|
Iterations::new(difficulty).map_err(|x| Bad(format!("{}", x)))?,
|
||||||
|
self.int_size_bits,
|
||||||
|
))
|
||||||
|
}
|
||||||
|
|
||||||
|
fn verify(
|
||||||
|
&self,
|
||||||
|
challenge: &[u8],
|
||||||
|
difficulty: u64,
|
||||||
|
alleged_solution: &[u8],
|
||||||
|
) -> Result<(), super::InvalidProof> {
|
||||||
|
check_proof_of_time_pietrzak::<GmpClassGroup>(
|
||||||
|
challenge,
|
||||||
|
alleged_solution,
|
||||||
|
difficulty,
|
||||||
|
self.int_size_bits,
|
||||||
|
)
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
#[cfg(test)]
|
||||||
|
mod test {
|
||||||
|
use super::*;
|
||||||
|
#[test]
|
||||||
|
fn check_approximate_i() {
|
||||||
|
assert_eq!(approximate_i(Iterations(534)), 2);
|
||||||
|
assert_eq!(approximate_i(Iterations(134)), 1);
|
||||||
|
assert_eq!(approximate_i(Iterations(1024)), 2);
|
||||||
|
}
|
||||||
|
#[test]
|
||||||
|
fn check_cache_indices() {
|
||||||
|
assert_eq!(cache_indices_for_count(Iterations(66))[..], [33, 66]);
|
||||||
|
assert_eq!(
|
||||||
|
cache_indices_for_count(Iterations(534))[..],
|
||||||
|
[134, 267, 401, 534]
|
||||||
|
);
|
||||||
|
}
|
||||||
|
|
||||||
|
#[test]
|
||||||
|
fn check_calculate_final_t() {
|
||||||
|
assert_eq!(calculate_final_t(Iterations(1024), 8), 128);
|
||||||
|
assert_eq!(calculate_final_t(Iterations(1000), 8), 126);
|
||||||
|
assert_eq!(calculate_final_t(Iterations(100), 8), 100);
|
||||||
|
}
|
||||||
|
#[test]
|
||||||
|
fn check_assuptions_about_stdlib() {
|
||||||
|
assert_eq!(62 - u64::leading_zeros(1024u64), 9);
|
||||||
|
let mut q: Vec<_> = (1..4).step_by(2).collect();
|
||||||
|
assert_eq!(q[..], [1, 3]);
|
||||||
|
q = (1..3).step_by(2).collect();
|
||||||
|
assert_eq!(q[..], [1]);
|
||||||
|
q = (1..2).step_by(2).collect();
|
||||||
|
assert_eq!(q[..], [1]);
|
||||||
|
}
|
||||||
|
}
|
||||||
308
crates/vdf/src/proof_wesolowski.rs
Normal file
308
crates/vdf/src/proof_wesolowski.rs
Normal file
@ -0,0 +1,308 @@
|
|||||||
|
// Copyright 2018 POA Networks Ltd.
|
||||||
|
//
|
||||||
|
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||||
|
// you may not use this file except in compliance with the License.
|
||||||
|
// You may obtain a copy of the License at
|
||||||
|
//
|
||||||
|
// http://www.apache.org/licenses/LICENSE-2.0
|
||||||
|
//
|
||||||
|
// Unless required by applicable law or agreed to in writing, software
|
||||||
|
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||||
|
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||||
|
// See the License for the specific language governing permissions and
|
||||||
|
// limitations under the License.
|
||||||
|
|
||||||
|
use super::proof_of_time::{iterate_squarings, serialize};
|
||||||
|
use classgroup::{gmp_classgroup::GmpClassGroup, BigNum, BigNumExt, ClassGroup};
|
||||||
|
use sha2::{digest::FixedOutput, Digest, Sha256};
|
||||||
|
use std::{cmp::Eq, collections::HashMap, hash::Hash, mem, u64, usize};
|
||||||
|
|
||||||
|
#[derive(Debug, Clone)]
|
||||||
|
pub struct WesolowskiVDF {
|
||||||
|
int_size_bits: u16,
|
||||||
|
}
|
||||||
|
use super::InvalidIterations as Bad;
|
||||||
|
|
||||||
|
#[derive(Clone, Copy, Eq, PartialEq, PartialOrd, Ord, Hash, Debug)]
|
||||||
|
pub struct WesolowskiVDFParams(pub u16);
|
||||||
|
impl super::VDFParams for WesolowskiVDFParams {
|
||||||
|
type VDF = WesolowskiVDF;
|
||||||
|
fn new(self) -> Self::VDF {
|
||||||
|
WesolowskiVDF {
|
||||||
|
int_size_bits: self.0,
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
impl super::VDF for WesolowskiVDF {
|
||||||
|
fn check_difficulty(&self, _difficulty: u64) -> Result<(), Bad> {
|
||||||
|
Ok(())
|
||||||
|
}
|
||||||
|
fn solve(&self, challenge: &[u8], difficulty: u64) -> Result<Vec<u8>, Bad> {
|
||||||
|
if difficulty > usize::MAX as u64 {
|
||||||
|
Err(Bad("Cannot have more that usize::MAX iterations".to_owned()))
|
||||||
|
} else {
|
||||||
|
Ok(create_proof_of_time_wesolowski::<
|
||||||
|
<GmpClassGroup as ClassGroup>::BigNum,
|
||||||
|
GmpClassGroup,
|
||||||
|
>(
|
||||||
|
challenge, difficulty as usize, self.int_size_bits
|
||||||
|
))
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
fn verify(
|
||||||
|
&self,
|
||||||
|
challenge: &[u8],
|
||||||
|
difficulty: u64,
|
||||||
|
alleged_solution: &[u8],
|
||||||
|
) -> Result<(), super::InvalidProof> {
|
||||||
|
check_proof_of_time_wesolowski::<<GmpClassGroup as ClassGroup>::BigNum, GmpClassGroup>(
|
||||||
|
challenge,
|
||||||
|
alleged_solution,
|
||||||
|
difficulty,
|
||||||
|
self.int_size_bits,
|
||||||
|
)
|
||||||
|
.map_err(|()| super::InvalidProof)
|
||||||
|
}
|
||||||
|
}
|
||||||
|
/// To quote the original Python code:
|
||||||
|
///
|
||||||
|
/// > Create `L` and `k` parameters from papers, based on how many iterations
|
||||||
|
/// > need to be performed, and how much memory should be used.
|
||||||
|
pub fn approximate_parameters(t: f64) -> (usize, u8, u64) {
|
||||||
|
let log_memory = (10_000_000.0f64).log2();
|
||||||
|
let log_t = (t as f64).log2();
|
||||||
|
let l = if log_t - log_memory > 0. {
|
||||||
|
2.0f64.powf(log_memory - 20.).ceil()
|
||||||
|
} else {
|
||||||
|
1.
|
||||||
|
};
|
||||||
|
|
||||||
|
let intermediate = t * (2.0f64).ln() / (2.0 * l);
|
||||||
|
let k = (intermediate.ln() - intermediate.ln().ln() + 0.25)
|
||||||
|
.round()
|
||||||
|
.max(1.);
|
||||||
|
|
||||||
|
let w = (t / (t / k + l * (2.0f64).powf(k + 1.0)) - 2.0).floor();
|
||||||
|
(l as _, k as _, w as _)
|
||||||
|
}
|
||||||
|
|
||||||
|
fn u64_to_bytes(q: u64) -> [u8; 8] {
|
||||||
|
if false {
|
||||||
|
// This use of `std::mem::transumte` is correct, but still not justified.
|
||||||
|
unsafe { std::mem::transmute(q.to_be()) }
|
||||||
|
} else {
|
||||||
|
[
|
||||||
|
(q >> 56) as u8,
|
||||||
|
(q >> 48) as u8,
|
||||||
|
(q >> 40) as u8,
|
||||||
|
(q >> 32) as u8,
|
||||||
|
(q >> 24) as u8,
|
||||||
|
(q >> 16) as u8,
|
||||||
|
(q >> 8) as u8,
|
||||||
|
q as u8,
|
||||||
|
]
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Quote:
|
||||||
|
///
|
||||||
|
/// > Creates a random prime based on input s.
|
||||||
|
fn hash_prime<T: BigNum>(seed: &[&[u8]]) -> T {
|
||||||
|
let mut j = 0u64;
|
||||||
|
loop {
|
||||||
|
let mut hasher = Sha256::new();
|
||||||
|
hasher.input(b"prime");
|
||||||
|
hasher.input(u64_to_bytes(j));
|
||||||
|
for i in seed {
|
||||||
|
hasher.input(i);
|
||||||
|
}
|
||||||
|
let n = T::from(&hasher.fixed_result()[..16]);
|
||||||
|
if n.probab_prime(2) {
|
||||||
|
break n;
|
||||||
|
}
|
||||||
|
j += 1;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Quote:
|
||||||
|
///
|
||||||
|
/// > Get“s the ith block of `2^T // B`, such that `sum(get_block(i) * 2^(k*i))
|
||||||
|
/// > = t^T // B`
|
||||||
|
fn get_block<T: BigNumExt>(i: u64, k: u8, t: u64, b: &T) -> T {
|
||||||
|
let mut res = T::from(0);
|
||||||
|
let two = T::from(2);
|
||||||
|
res.mod_powm(&two, &T::from(t - u64::from(k) * (i + 1)), b);
|
||||||
|
res *= &((two >> 1) << (k as usize));
|
||||||
|
res / b
|
||||||
|
}
|
||||||
|
|
||||||
|
fn eval_optimized<T, U: BigNumExt, L: ClassGroup<BigNum = U> + Eq + Hash>(
|
||||||
|
h: &L,
|
||||||
|
b: &U,
|
||||||
|
t: usize,
|
||||||
|
k: u8,
|
||||||
|
l: usize,
|
||||||
|
powers: &T,
|
||||||
|
) -> L
|
||||||
|
where
|
||||||
|
T: for<'a> std::ops::Index<&'a u64, Output = L>,
|
||||||
|
{
|
||||||
|
assert!(k > 0, "k cannot be zero");
|
||||||
|
assert!(l > 0, "l cannot be zero");
|
||||||
|
let kl = (k as usize)
|
||||||
|
.checked_mul(l)
|
||||||
|
.expect("computing k*l overflowed a u64");
|
||||||
|
assert!(kl <= u64::MAX as _);
|
||||||
|
assert!((kl as u64) < (1u64 << 53), "k*l overflowed an f64");
|
||||||
|
assert!((t as u64) < (1u64 << 53), "t overflows an f64");
|
||||||
|
assert!(
|
||||||
|
k < (mem::size_of::<usize>() << 3) as u8,
|
||||||
|
"k must be less than the number of bits in a usize"
|
||||||
|
);
|
||||||
|
let k1 = k >> 1;
|
||||||
|
let k0 = k - k1;
|
||||||
|
let mut x = h.identity();
|
||||||
|
let identity = h.identity();
|
||||||
|
let k_exp = 1usize << k;
|
||||||
|
let k0_exp = 1usize << k0;
|
||||||
|
let k1_exp = 1usize << k1;
|
||||||
|
for j in (0..l).rev() {
|
||||||
|
x.pow(U::from(k_exp as u64));
|
||||||
|
let mut ys: HashMap<U, L> = HashMap::new();
|
||||||
|
for b in 0..1usize << k {
|
||||||
|
ys.entry(U::from(b as u64))
|
||||||
|
.or_insert_with(|| identity.clone());
|
||||||
|
}
|
||||||
|
let end_of_loop = ((t as f64) / kl as f64).ceil() as usize;
|
||||||
|
assert!(end_of_loop == 0 || (end_of_loop as u64 - 1).checked_mul(l as u64).is_some());
|
||||||
|
for i in 0..end_of_loop {
|
||||||
|
if t < k as usize * (i * l + j + 1) {
|
||||||
|
continue;
|
||||||
|
}
|
||||||
|
let b = get_block((i as u64) * (l as u64), k, t as _, b);
|
||||||
|
*ys.get_mut(&b).unwrap() *= &powers[&((i * kl) as _)];
|
||||||
|
}
|
||||||
|
|
||||||
|
for b1 in 0..k1_exp {
|
||||||
|
let mut z = identity.clone();
|
||||||
|
for b0 in 0..k0_exp {
|
||||||
|
z *= &ys[&U::from((b1 * k0_exp + b0) as u64)]
|
||||||
|
}
|
||||||
|
z.pow(U::from((b1 as u64) * (k0_exp as u64)));
|
||||||
|
x *= &z;
|
||||||
|
}
|
||||||
|
|
||||||
|
for b0 in 0..k0_exp {
|
||||||
|
let mut z = identity.clone();
|
||||||
|
for b1 in 0..k1_exp {
|
||||||
|
z *= &ys[&U::from((b1 * k0_exp + b0) as u64)];
|
||||||
|
}
|
||||||
|
z.pow(U::from(b0 as u64));
|
||||||
|
x *= &z;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
x
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn generate_proof<U, T: BigNumExt, V: ClassGroup<BigNum = T> + Eq + Hash>(
|
||||||
|
x: &V,
|
||||||
|
iterations: u64,
|
||||||
|
k: u8,
|
||||||
|
l: usize,
|
||||||
|
powers: &U,
|
||||||
|
int_size_bits: usize,
|
||||||
|
) -> V
|
||||||
|
where
|
||||||
|
U: for<'a> std::ops::Index<&'a u64, Output = V>,
|
||||||
|
{
|
||||||
|
let element_len = 2 * ((int_size_bits + 16) >> 4);
|
||||||
|
let mut x_buf = vec![0; element_len];
|
||||||
|
x.serialize(&mut x_buf[..])
|
||||||
|
.expect(super::INCORRECT_BUFFER_SIZE);
|
||||||
|
let mut y_buf = vec![0; element_len];
|
||||||
|
powers[&iterations]
|
||||||
|
.serialize(&mut y_buf[..])
|
||||||
|
.expect(super::INCORRECT_BUFFER_SIZE);
|
||||||
|
let b = hash_prime(&[&x_buf[..], &y_buf[..]]);
|
||||||
|
eval_optimized(&x, &b, iterations as _, k, l, powers)
|
||||||
|
}
|
||||||
|
|
||||||
|
/// Verify a proof, according to the Wesolowski paper.
|
||||||
|
pub fn verify_proof<T: BigNum, V: ClassGroup<BigNum = T>>(
|
||||||
|
mut x: V,
|
||||||
|
y: &V,
|
||||||
|
mut proof: V,
|
||||||
|
t: u64,
|
||||||
|
int_size_bits: usize,
|
||||||
|
) -> Result<(), ()> {
|
||||||
|
let element_len = 2 * ((int_size_bits + 16) >> 4);
|
||||||
|
let mut x_buf = vec![0; element_len];
|
||||||
|
x.serialize(&mut x_buf[..])
|
||||||
|
.expect(super::INCORRECT_BUFFER_SIZE);
|
||||||
|
let mut y_buf = vec![0; element_len];
|
||||||
|
y.serialize(&mut y_buf[..])
|
||||||
|
.expect(super::INCORRECT_BUFFER_SIZE);
|
||||||
|
let b = hash_prime(&[&x_buf[..], &y_buf[..]]);
|
||||||
|
let mut r = T::from(0);
|
||||||
|
r.mod_powm(&T::from(2u64), &T::from(t), &b);
|
||||||
|
proof.pow(b);
|
||||||
|
x.pow(r);
|
||||||
|
proof *= &x;
|
||||||
|
if &proof == y {
|
||||||
|
Ok(())
|
||||||
|
} else {
|
||||||
|
Err(())
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn create_proof_of_time_wesolowski<T: BigNumExt, V: ClassGroup<BigNum = T> + Eq + Hash>(
|
||||||
|
challenge: &[u8],
|
||||||
|
iterations: usize,
|
||||||
|
int_size_bits: u16,
|
||||||
|
) -> Vec<u8>
|
||||||
|
where
|
||||||
|
for<'a, 'b> &'a V: std::ops::Mul<&'b V, Output = V>,
|
||||||
|
for<'a, 'b> &'a V::BigNum: std::ops::Mul<&'b V::BigNum, Output = V::BigNum>,
|
||||||
|
{
|
||||||
|
let discriminant = super::create_discriminant::create_discriminant(&challenge, int_size_bits);
|
||||||
|
let x = V::from_ab_discriminant(2.into(), 1.into(), discriminant);
|
||||||
|
assert!((iterations as u128) < (1u128 << 53));
|
||||||
|
let (l, k, _) = approximate_parameters(iterations as f64);
|
||||||
|
let q = l.checked_mul(k as _).expect("bug");
|
||||||
|
let powers = iterate_squarings(
|
||||||
|
x.clone(),
|
||||||
|
(0..=iterations / q + 1)
|
||||||
|
.map(|i| i * q)
|
||||||
|
.chain(Some(iterations))
|
||||||
|
.map(|x| x as _),
|
||||||
|
);
|
||||||
|
let proof = generate_proof(&x, iterations as _, k, l, &powers, int_size_bits.into());
|
||||||
|
serialize(&[proof], &powers[&(iterations as _)], int_size_bits.into())
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn check_proof_of_time_wesolowski<T: BigNum, V: ClassGroup<BigNum = T>>(
|
||||||
|
challenge: &[u8],
|
||||||
|
proof_blob: &[u8],
|
||||||
|
iterations: u64,
|
||||||
|
int_size_bits: u16,
|
||||||
|
) -> Result<(), ()>
|
||||||
|
where
|
||||||
|
T: BigNumExt,
|
||||||
|
{
|
||||||
|
let discriminant: T = super::create_discriminant::create_discriminant(challenge, int_size_bits);
|
||||||
|
let x = V::from_ab_discriminant(2.into(), 1.into(), discriminant.clone());
|
||||||
|
if (usize::MAX - 16) < int_size_bits.into() {
|
||||||
|
return Err(());
|
||||||
|
}
|
||||||
|
let int_size = (usize::from(int_size_bits) + 16) >> 4;
|
||||||
|
if int_size * 4 != proof_blob.len() {
|
||||||
|
return Err(());
|
||||||
|
}
|
||||||
|
let (result_bytes, proof_bytes) = proof_blob.split_at(2 * int_size);
|
||||||
|
let proof = ClassGroup::from_bytes(proof_bytes, discriminant.clone());
|
||||||
|
let y = ClassGroup::from_bytes(result_bytes, discriminant);
|
||||||
|
|
||||||
|
verify_proof(x, &y, proof, iterations, int_size_bits.into())
|
||||||
|
}
|
||||||
Loading…
Reference in New Issue
Block a user