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<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Elliptic curve operations."><title>halo2_gadgets::ecc - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../static.files/rustdoc-fa3bb1812debf86c.css"><meta name="rustdoc-vars" data-root-path="../../" data-static-root-path="../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.75.0-nightly (2bbb61989 2023-10-04)" data-channel="nightly" data-search-js="search-8be46b629f5f14a8.js" data-settings-js="settings-74424d7eec62a23e.js" ><script src="../../static.files/storage-fec3eaa3851e447d.js"></script><script defer src="../../static.files/main-c5bd66d33317d69f.js"></script><noscript><link rel="stylesheet" href="../../static.files/noscript-5d8b3c7633ad77ba.css"></noscript><link rel="alternate icon" type="image/png" href="../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
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</head><body class="rustdoc mod"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">Module ecc</a></h2><div class="sidebar-elems"><section><ul class="block"><li><a href="#modules">Modules</a></li><li><a href="#structs">Structs</a></li><li><a href="#traits">Traits</a></li></ul></section></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press S to search, ? for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Module <a href="../index.html">halo2_gadgets</a>::<wbr><a class="mod" href="#">ecc</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../src/halo2_gadgets/ecc.rs.html#1-918">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Elliptic curve operations.</p>
</div></details><h2 id="modules" class="small-section-header"><a href="#modules">Modules</a></h2><ul class="item-table"><li><div class="item-name"><a class="mod" href="chip/index.html" title="mod halo2_gadgets::ecc::chip">chip</a></div><div class="desc docblock-short">Chip implementations for the ECC gadgets.</div></li></ul><h2 id="structs" class="small-section-header"><a href="#structs">Structs</a></h2><ul class="item-table"><li><div class="item-name"><a class="struct" href="struct.FixedPoint.html" title="struct halo2_gadgets::ecc::FixedPoint">FixedPoint</a></div><div class="desc docblock-short">Precomputed multiples of a fixed point, for full-width scalar multiplication.</div></li><li><div class="item-name"><a class="struct" href="struct.FixedPointBaseField.html" title="struct halo2_gadgets::ecc::FixedPointBaseField">FixedPointBaseField</a></div><div class="desc docblock-short">Precomputed multiples of a fixed point, that can be multiplied by base-field elements.</div></li><li><div class="item-name"><a class="struct" href="struct.FixedPointShort.html" title="struct halo2_gadgets::ecc::FixedPointShort">FixedPointShort</a></div><div class="desc docblock-short">Precomputed multiples of a fixed point, for short signed scalar multiplication.</div></li><li><div class="item-name"><a class="struct" href="struct.NonIdentityPoint.html" title="struct halo2_gadgets::ecc::NonIdentityPoint">NonIdentityPoint</a></div><div class="desc docblock-short">A point on a specific elliptic curve that is guaranteed to not be the identity.</div></li><li><div class="item-name"><a class="struct" href="struct.Point.html" title="struct halo2_gadgets::ecc::Point">Point</a></div><div class="desc docblock-short">A point on a specific elliptic curve.</div></li><li><div class="item-name"><a class="struct" href="struct.ScalarFixed.html" title="struct halo2_gadgets::ecc::ScalarFixed">ScalarFixed</a></div><div class="desc docblock-short">An integer representing an element of the scalar field for a specific elliptic curve,
for <a href="struct.FixedPoint.html" title="struct halo2_gadgets::ecc::FixedPoint"><code>FixedPoint</code></a> scalar multiplication.</div></li><li><div class="item-name"><a class="struct" href="struct.ScalarFixedShort.html" title="struct halo2_gadgets::ecc::ScalarFixedShort">ScalarFixedShort</a></div><div class="desc docblock-short">A signed short (64-bit) integer represented as an element of the scalar field for a
specific elliptic curve, to be used for <a href="struct.FixedPointShort.html" title="struct halo2_gadgets::ecc::FixedPointShort"><code>FixedPointShort</code></a> scalar multiplication.</div></li><li><div class="item-name"><a class="struct" href="struct.ScalarVar.html" title="struct halo2_gadgets::ecc::ScalarVar">ScalarVar</a></div><div class="desc docblock-short">An integer representing an element of the scalar field for a specific elliptic curve.</div></li><li><div class="item-name"><a class="struct" href="struct.X.html" title="struct halo2_gadgets::ecc::X">X</a></div><div class="desc docblock-short">The affine short Weierstrass x-coordinate of a point on a specific elliptic curve.</div></li></ul><h2 id="traits" class="small-section-header"><a href="#traits">Traits</a></h2><ul class="item-table"><li><div class="item-name"><a class="trait" href="trait.BaseFitsInScalarInstructions.html" title="trait halo2_gadgets::ecc::BaseFitsInScalarInstructions">BaseFitsInScalarInstructions</a></div><div class="desc docblock-short">Instructions that can be implemented for a curve whose base field fits into
its scalar field.</div></li><li><div class="item-name"><a class="trait" href="trait.EccInstructions.html" title="trait halo2_gadgets::ecc::EccInstructions">EccInstructions</a></div><div class="desc docblock-short">The set of circuit instructions required to use the ECC gadgets.</div></li><li><div class="item-name"><a class="trait" href="trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a></div><div class="desc docblock-short">Defines the fixed points for a given instantiation of the ECC chip.</div></li></ul></section></div></main></body></html>