mirror of
https://source.quilibrium.com/quilibrium/ceremonyclient.git
synced 2024-12-26 16:45:18 +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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.task
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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]]
|
||||
name = "aho-corasick"
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||||
dependencies = [
|
||||
"memchr",
|
||||
]
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||||
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[[package]]
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[[package]]
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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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|
||||
|
||||
[[package]]
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|
||||
"ciborium-io",
|
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"half",
|
||||
]
|
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[[package]]
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name = "clap"
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|
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||||
"clap_builder",
|
||||
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||||
|
||||
[[package]]
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||||
name = "clap_builder"
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version = "4.5.2"
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|
||||
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"anstyle",
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||||
"clap_lex",
|
||||
]
|
||||
|
||||
[[package]]
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name = "clap_lex"
|
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|
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[[package]]
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name = "classgroup"
|
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dependencies = [
|
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"criterion",
|
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[[package]]
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|
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"once_cell",
|
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"oorandom",
|
||||
"plotters",
|
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|
||||
"regex",
|
||||
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|
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[[package]]
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|
||||
[[package]]
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||||
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|
||||
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||||
[[package]]
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|
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|
||||
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|
||||
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||||
[[package]]
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||||
|
||||
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|
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||||
|
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|
||||
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|
||||
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|
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|
||||
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|
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||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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||||
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|
||||
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||||
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|
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|
||||
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||||
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|
||||
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|
||||
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|
||||
|
||||
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|
||||
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|
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|
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|
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|
||||
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|
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|
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|
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|
||||
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|
||||
|
||||
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|
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|
||||
checksum = "b418a60154510ca1a002a752ca9714984e21e4241e804d32555251faf8b78ffa"
|
||||
dependencies = [
|
||||
"either",
|
||||
"rayon-core",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "rayon-core"
|
||||
version = "1.12.1"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "1465873a3dfdaa8ae7cb14b4383657caab0b3e8a0aa9ae8e04b044854c8dfce2"
|
||||
dependencies = [
|
||||
"crossbeam-deque",
|
||||
"crossbeam-utils",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "regex"
|
||||
version = "1.10.4"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "c117dbdfde9c8308975b6a18d71f3f385c89461f7b3fb054288ecf2a2058ba4c"
|
||||
dependencies = [
|
||||
"aho-corasick",
|
||||
"memchr",
|
||||
"regex-automata",
|
||||
"regex-syntax",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "regex-automata"
|
||||
version = "0.4.6"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "86b83b8b9847f9bf95ef68afb0b8e6cdb80f498442f5179a29fad448fcc1eaea"
|
||||
dependencies = [
|
||||
"aho-corasick",
|
||||
"memchr",
|
||||
"regex-syntax",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "regex-syntax"
|
||||
version = "0.8.3"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "adad44e29e4c806119491a7f06f03de4d1af22c3a680dd47f1e6e179439d1f56"
|
||||
|
||||
[[package]]
|
||||
name = "ryu"
|
||||
version = "1.0.18"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "f3cb5ba0dc43242ce17de99c180e96db90b235b8a9fdc9543c96d2209116bd9f"
|
||||
|
||||
[[package]]
|
||||
name = "same-file"
|
||||
version = "1.0.6"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "93fc1dc3aaa9bfed95e02e6eadabb4baf7e3078b0bd1b4d7b6b0b68378900502"
|
||||
dependencies = [
|
||||
"winapi-util",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "serde"
|
||||
version = "1.0.203"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "7253ab4de971e72fb7be983802300c30b5a7f0c2e56fab8abfc6a214307c0094"
|
||||
dependencies = [
|
||||
"serde_derive",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "serde_derive"
|
||||
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|
||||
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|
||||
checksum = "500cbc0ebeb6f46627f50f3f5811ccf6bf00643be300b4c3eabc0ef55dc5b5ba"
|
||||
dependencies = [
|
||||
"proc-macro2",
|
||||
"quote",
|
||||
"syn",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "serde_json"
|
||||
version = "1.0.117"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "455182ea6142b14f93f4bc5320a2b31c1f266b66a4a5c858b013302a5d8cbfc3"
|
||||
dependencies = [
|
||||
"itoa",
|
||||
"ryu",
|
||||
"serde",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "sha2"
|
||||
version = "0.8.2"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "a256f46ea78a0c0d9ff00077504903ac881a1dafdc20da66545699e7776b3e69"
|
||||
dependencies = [
|
||||
"block-buffer",
|
||||
"digest",
|
||||
"fake-simd",
|
||||
"opaque-debug",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "syn"
|
||||
version = "2.0.66"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "c42f3f41a2de00b01c0aaad383c5a45241efc8b2d1eda5661812fda5f3cdcff5"
|
||||
dependencies = [
|
||||
"proc-macro2",
|
||||
"quote",
|
||||
"unicode-ident",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "tinytemplate"
|
||||
version = "1.2.1"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "be4d6b5f19ff7664e8c98d03e2139cb510db9b0a60b55f8e8709b689d939b6bc"
|
||||
dependencies = [
|
||||
"serde",
|
||||
"serde_json",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "typenum"
|
||||
version = "1.17.0"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "42ff0bf0c66b8238c6f3b578df37d0b7848e55df8577b3f74f92a69acceeb825"
|
||||
|
||||
[[package]]
|
||||
name = "unicode-ident"
|
||||
version = "1.0.12"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "3354b9ac3fae1ff6755cb6db53683adb661634f67557942dea4facebec0fee4b"
|
||||
|
||||
[[package]]
|
||||
name = "vdf"
|
||||
version = "0.1.0"
|
||||
dependencies = [
|
||||
"bit-vec",
|
||||
"classgroup",
|
||||
"criterion",
|
||||
"hex",
|
||||
"num-traits",
|
||||
"sha2",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "walkdir"
|
||||
version = "2.5.0"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "29790946404f91d9c5d06f9874efddea1dc06c5efe94541a7d6863108e3a5e4b"
|
||||
dependencies = [
|
||||
"same-file",
|
||||
"winapi-util",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "wasm-bindgen"
|
||||
version = "0.2.92"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "4be2531df63900aeb2bca0daaaddec08491ee64ceecbee5076636a3b026795a8"
|
||||
dependencies = [
|
||||
"cfg-if",
|
||||
"wasm-bindgen-macro",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "wasm-bindgen-backend"
|
||||
version = "0.2.92"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "614d787b966d3989fa7bb98a654e369c762374fd3213d212cfc0251257e747da"
|
||||
dependencies = [
|
||||
"bumpalo",
|
||||
"log",
|
||||
"once_cell",
|
||||
"proc-macro2",
|
||||
"quote",
|
||||
"syn",
|
||||
"wasm-bindgen-shared",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "wasm-bindgen-macro"
|
||||
version = "0.2.92"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "a1f8823de937b71b9460c0c34e25f3da88250760bec0ebac694b49997550d726"
|
||||
dependencies = [
|
||||
"quote",
|
||||
"wasm-bindgen-macro-support",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "wasm-bindgen-macro-support"
|
||||
version = "0.2.92"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
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||||
checksum = "e94f17b526d0a461a191c78ea52bbce64071ed5c04c9ffe424dcb38f74171bb7"
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||||
dependencies = [
|
||||
"proc-macro2",
|
||||
"quote",
|
||||
"syn",
|
||||
"wasm-bindgen-backend",
|
||||
"wasm-bindgen-shared",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "wasm-bindgen-shared"
|
||||
version = "0.2.92"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "af190c94f2773fdb3729c55b007a722abb5384da03bc0986df4c289bf5567e96"
|
||||
|
||||
[[package]]
|
||||
name = "web-sys"
|
||||
version = "0.3.69"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "77afa9a11836342370f4817622a2f0f418b134426d91a82dfb48f532d2ec13ef"
|
||||
dependencies = [
|
||||
"js-sys",
|
||||
"wasm-bindgen",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "winapi-util"
|
||||
version = "0.1.8"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "4d4cc384e1e73b93bafa6fb4f1df8c41695c8a91cf9c4c64358067d15a7b6c6b"
|
||||
dependencies = [
|
||||
"windows-sys",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "windows-sys"
|
||||
version = "0.52.0"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "282be5f36a8ce781fad8c8ae18fa3f9beff57ec1b52cb3de0789201425d9a33d"
|
||||
dependencies = [
|
||||
"windows-targets",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "windows-targets"
|
||||
version = "0.52.5"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "6f0713a46559409d202e70e28227288446bf7841d3211583a4b53e3f6d96e7eb"
|
||||
dependencies = [
|
||||
"windows_aarch64_gnullvm",
|
||||
"windows_aarch64_msvc",
|
||||
"windows_i686_gnu",
|
||||
"windows_i686_gnullvm",
|
||||
"windows_i686_msvc",
|
||||
"windows_x86_64_gnu",
|
||||
"windows_x86_64_gnullvm",
|
||||
"windows_x86_64_msvc",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "windows_aarch64_gnullvm"
|
||||
version = "0.52.5"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "7088eed71e8b8dda258ecc8bac5fb1153c5cffaf2578fc8ff5d61e23578d3263"
|
||||
|
||||
[[package]]
|
||||
name = "windows_aarch64_msvc"
|
||||
version = "0.52.5"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "9985fd1504e250c615ca5f281c3f7a6da76213ebd5ccc9561496568a2752afb6"
|
||||
|
||||
[[package]]
|
||||
name = "windows_i686_gnu"
|
||||
version = "0.52.5"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "88ba073cf16d5372720ec942a8ccbf61626074c6d4dd2e745299726ce8b89670"
|
||||
|
||||
[[package]]
|
||||
name = "windows_i686_gnullvm"
|
||||
version = "0.52.5"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "87f4261229030a858f36b459e748ae97545d6f1ec60e5e0d6a3d32e0dc232ee9"
|
||||
|
||||
[[package]]
|
||||
name = "windows_i686_msvc"
|
||||
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
|
||||
10000041052183522790242850644893154590720039288612095879016416132777489378534703527529316376767361213758229530778215090392226004364711343494340009516684351602465954563523094253968698993441741189497557646486818525059302740665570749018871945434231968929038967533223013692831944903924891259290137962329173675618,1902993169831098968408340994163042640289698812843652994188396853325597449053613940738900681358483309978075948057374939279288006967407927201371876070720282077185512088102089011109098339510946105167168603912904329219763993441428070797711607939058596983469167495985136256807429373538982995591135613664471290691,648679116947253221704188706776650677211463611636395838310356904951972039958552218839434071543988637793619482253205477878855250277635662749169650536657554110192985236141029049474956216985923614316507072329807839408341849104680142145376380471455107520480114830913820742685234228885993868983705228973767491332409|10000041052183522790242850644893154590720039288612095879016416132777489378534703527529316376767361213758229530778215090392226004364711343494340009516684351602465954563523094253968698993441741189497557646486818525059302740665570749018871945434231968929038967533223013692831944903924891259290137962329173675618,1902993169831098968408340994163042640289698812843652994188396853325597449053613940738900681358483309978075948057374939279288006967407927201371876070720282077185512088102089011109098339510946105167168603912904329219763993441428070797711607939058596983469167495985136256807429373538982995591135613664471290691,648679116947253221704188706776650677211463611636395838310356904951972039958552218839434071543988637793619482253205477878855250277635662749169650536657554110192985236141029049474956216985923614316507072329807839408341849104680142145376380471455107520480114830913820742685234228885993868983705228973767491332409|11014730391994022921548019318564443238610906141262076480168925966763126765751815894971319798676750825680596366806816953155468468927850506963854768575341863098700465049052526243803093026353195834059474734029876952052212354875982568724849333989940233032713622829273608000126280643959163722728068472850088622786,10741667368771260991465304819723549356187315169745538829427954074292104964386739024958802023185700235860418655331632400858711212007319896932342251013222776723172845936147563193613725240374195945000924112718166206035243862199173787901602224623957181722190890413718871860292878014198837725481829866947825981913,591458717193488352905603034790202837072660316706237076413003353962226001987681937225165602501036312777007571264636495875979803481147253392478958512772229202313701414596984055959140281478236518410326724468820458881999271606689529119264353275033892327553507658401114443924515886686374958949587811834733084613494
|
||||
10000381915681932465973261183425742883776417480816046593820159088331265076946313439425523314444345253320002870252043057595684488140407211015115892705028395378796407813776706176594457902083795049968208905578343034404017956993894296039160788337679442024505335413399442760803039586109332233036553257459967307992,4817573728667361865336022581228097408185105735439009440346088109945423944514625700845976724084897576632126538284617885680024575350161902075565426943435359103696435860065323384485576321976518692508202982451179520762630115309722600967720404130152140308793673263051352095721900258702511325402177650727880246935,669873650881721761367318894015191721808238052876596531632606045247446982615721443478227885999211090819818334947786875090863090531638122013530669226521626152920347047659485744946461307259365312735407042929006458450763753134816736952808194188478460912675596404179851630644942038849386883091149385220764843706257|10000381915681932465973261183425742883776417480816046593820159088331265076946313439425523314444345253320002870252043057595684488140407211015115892705028395378796407813776706176594457902083795049968208905578343034404017956993894296039160788337679442024505335413399442760803039586109332233036553257459967307992,4817573728667361865336022581228097408185105735439009440346088109945423944514625700845976724084897576632126538284617885680024575350161902075565426943435359103696435860065323384485576321976518692508202982451179520762630115309722600967720404130152140308793673263051352095721900258702511325402177650727880246935,669873650881721761367318894015191721808238052876596531632606045247446982615721443478227885999211090819818334947786875090863090531638122013530669226521626152920347047659485744946461307259365312735407042929006458450763753134816736952808194188478460912675596404179851630644942038849386883091149385220764843706257|15406883651839353468888340788129827256524366500559993343402492794080742895081542466902089892082975781941021139173750937371748781682695257732868858255213590996446142784059996942302405311028161097993332331718537383888482114789770414489490580461393020737016788325059322912336073066124099655242000162998144490191,4360823987526422964670528620808397080272081276432190896883401768539814490180903410645821165307382339042226562722529652661460320310396511517028476587614669988004410806997734064375576646534713644939599630073534432499720811712867334091133681123961660738588960398432344316577526812821260889068523826290764750305,434737123855318232136803285518736106774596594589476825779021338309188039202684276728719741767739900154018854551253981210446831263812934806367418646532886786527458187655685060926749423401952358398253824964655841491692769761412354811289837062586506164527515355144754089246394187279961001728737349715244065290684
|
||||
10000382084844819863091735393428537123796094124029988695624509543701671917373805547793586171907452267004536696714359178508237591675470611568215269390130161491021123479579310299191808477715227540644280867131359924216029489859205866802370878621090778893635118109144685744213704279596306855259529008805569484738,-444155911792016461297666514223280647275019670279235098115904524278820479908555182212414682305357120850467322036353999623022556562078881846242421627622835673248504490647482104203937046492778180626801172318868765508903156634858880238203680354870853572676123032093150013906751911065758499256507194503286999359,567054671672969689387757610046141412714538710354002952292665369546607156429867011238555624731427279061383543924144630291236714076290759079492403352598432624404020019598559946194717566760077730429172494635087510893397235439040191683342313758118884331110227782487142203190483880485876667351431228811762752414559|10000382084844819863091735393428537123796094124029988695624509543701671917373805547793586171907452267004536696714359178508237591675470611568215269390130161491021123479579310299191808477715227540644280867131359924216029489859205866802370878621090778893635118109144685744213704279596306855259529008805569484738,-444155911792016461297666514223280647275019670279235098115904524278820479908555182212414682305357120850467322036353999623022556562078881846242421627622835673248504490647482104203937046492778180626801172318868765508903156634858880238203680354870853572676123032093150013906751911065758499256507194503286999359,567054671672969689387757610046141412714538710354002952292665369546607156429867011238555624731427279061383543924144630291236714076290759079492403352598432624404020019598559946194717566760077730429172494635087510893397235439040191683342313758118884331110227782487142203190483880485876667351431228811762752414559|25233315598122077418065976820332071042466787077699487654424387918664961172156179342884760885536120785360009215201873305025819279551843543582105904004062292352688557410351568671077765651689593128194982886401323218888273326531345494420553999096902303332712335656165115841742118280506588108873800795844703864919,-21589572107561067243363628128888045942080137348693403707950771695641329996718935854060105037586070646944119604332897696206540905887323628203932721112852139156892903280775223036949323848394414919310082155940615053363132829628799672709557839434529964085755781777411447385312731490258576057970445296620960747711,229349228584333455202515805454481561086661761655883453088894599746824713549123206719584169689814830025633382253625181015273278307916408839487283320828823538420290774632766998050162873483736921565586622385485530453983863042070274251829142359266901387980967335820672065096008596106715431022577378179753339164658
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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 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
|
||||
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
|
||||
//! 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
|
||||
//! $ 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