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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="Chip implementations for the ECC gadgets."><title>halo2_gadgets::ecc::chip - 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">☰</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 chip</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="#enums">Enums</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 href="../index.html">ecc</a>::<wbr><a class="mod" href="#">chip</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/chip.rs.html#1-614">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Chip implementations for the ECC gadgets.</p>
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</div></details><h2 id="reexports" class="small-section-header"><a href="#reexports">Re-exports</a></h2><ul class="item-table"><li><div class="item-name"><code>pub use <a class="mod" href="constants/index.html" title="mod halo2_gadgets::ecc::chip::constants">constants</a>::*;</code></div></li></ul><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="constants/index.html" title="mod halo2_gadgets::ecc::chip::constants">constants</a></div><div class="desc docblock-short">Constants required for the ECC chip.</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.EccChip.html" title="struct halo2_gadgets::ecc::chip::EccChip">EccChip</a></div><div class="desc docblock-short">An <a href="../trait.EccInstructions.html" title="trait halo2_gadgets::ecc::EccInstructions"><code>EccInstructions</code></a> chip that uses 10 advice columns.</div></li><li><div class="item-name"><a class="struct" href="struct.EccConfig.html" title="struct halo2_gadgets::ecc::chip::EccConfig">EccConfig</a></div><div class="desc docblock-short">Configuration for <a href="struct.EccChip.html" title="struct halo2_gadgets::ecc::chip::EccChip"><code>EccChip</code></a>.</div></li><li><div class="item-name"><a class="struct" href="struct.EccPoint.html" title="struct halo2_gadgets::ecc::chip::EccPoint">EccPoint</a></div><div class="desc docblock-short">A curve point represented in affine (x, y) coordinates, or the
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identity represented as (0, 0).
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Each coordinate is assigned to a cell.</div></li><li><div class="item-name"><a class="struct" href="struct.EccScalarFixed.html" title="struct halo2_gadgets::ecc::chip::EccScalarFixed">EccScalarFixed</a></div><div class="desc docblock-short">A full-width scalar used for fixed-base scalar multiplication.
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This is decomposed into 85 3-bit windows in little-endian order,
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i.e. <code>windows</code> = [k_0, k_1, …, k_84] (for a 255-bit scalar)
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where <code>scalar = k_0 + k_1 * (2^3) + ... + k_84 * (2^3)^84</code> and
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each <code>k_i</code> is in the range [0..2^3).</div></li><li><div class="item-name"><a class="struct" href="struct.EccScalarFixedShort.html" title="struct halo2_gadgets::ecc::chip::EccScalarFixedShort">EccScalarFixedShort</a></div><div class="desc docblock-short">A signed short scalar used for fixed-base scalar multiplication.
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A short scalar must have magnitude in the range [0..2^64), with
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a sign of either 1 or -1.
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This is decomposed into 3-bit windows in little-endian order
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using a running sum <code>z</code>, where z_{i+1} = (z_i - a_i) / (2^3)
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for element α = a_0 + (2^3) a_1 + … + (2^{3(n-1)}) a_{n-1}.
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Each <code>a_i</code> is in the range [0..2^3).</div></li><li><div class="item-name"><a class="struct" href="struct.NonIdentityEccPoint.html" title="struct halo2_gadgets::ecc::chip::NonIdentityEccPoint">NonIdentityEccPoint</a></div><div class="desc docblock-short">A non-identity point represented in affine (x, y) coordinates.
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Each coordinate is assigned to a cell.</div></li></ul><h2 id="enums" class="small-section-header"><a href="#enums">Enums</a></h2><ul class="item-table"><li><div class="item-name"><a class="enum" href="enum.BaseFieldElem.html" title="enum halo2_gadgets::ecc::chip::BaseFieldElem">BaseFieldElem</a></div><div class="desc docblock-short">Type marker representing a base field element being used as a scalar in fixed-base
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scalar multiplication.</div></li><li><div class="item-name"><a class="enum" href="enum.FullScalar.html" title="enum halo2_gadgets::ecc::chip::FullScalar">FullScalar</a></div><div class="desc docblock-short">Type marker representing a full-width scalar for use in fixed-base scalar
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multiplication.</div></li><li><div class="item-name"><a class="enum" href="enum.ScalarVar.html" title="enum halo2_gadgets::ecc::chip::ScalarVar">ScalarVar</a></div><div class="desc docblock-short">An enumeration of the possible types of scalars used in variable-base
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multiplication.</div></li><li><div class="item-name"><a class="enum" href="enum.ShortScalar.html" title="enum halo2_gadgets::ecc::chip::ShortScalar">ShortScalar</a></div><div class="desc docblock-short">Type marker representing a signed 64-bit scalar for use in fixed-base scalar
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multiplication.</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.FixedPoint.html" title="trait halo2_gadgets::ecc::chip::FixedPoint">FixedPoint</a></div><div class="desc docblock-short">Returns information about a fixed point that is required by <a href="struct.EccChip.html" title="struct halo2_gadgets::ecc::chip::EccChip"><code>EccChip</code></a>.</div></li><li><div class="item-name"><a class="trait" href="trait.FixedScalarKind.html" title="trait halo2_gadgets::ecc::chip::FixedScalarKind">FixedScalarKind</a></div><div class="desc docblock-short">A trait representing the kind of scalar used with a particular <code>FixedPoint</code>.</div></li></ul></section></div></main></body></html> |