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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."><meta name="keywords" content="rust, rustlang, rust-lang, ecc"><title>halo2_gadgets::ecc - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceSerif4-Regular.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../FiraSans-Regular.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../FiraSans-Medium.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceCodePro-Regular.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceSerif4-Bold.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../SourceCodePro-Semibold.ttf.woff2"><link rel="stylesheet" type="text/css" href="../../normalize.css"><link rel="stylesheet" type="text/css" href="../../rustdoc.css" id="mainThemeStyle"><link rel="stylesheet" type="text/css" href="../../ayu.css" disabled><link rel="stylesheet" type="text/css" href="../../dark.css" disabled><link rel="stylesheet" type="text/css" href="../../light.css" id="themeStyle"><script id="default-settings" ></script><script src="../../storage.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../main.js"></script><noscript><link rel="stylesheet" href="../../noscript.css"></noscript><link rel="alternate icon" type="image/png" href="../../favicon-16x16.png"><link rel="alternate icon" type="image/png" href="../../favicon-32x32.png"><link rel="icon" type="image/svg+xml" href="../../favicon.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="sidebar-logo" href="../../halo2_gadgets/index.html"><div class="logo-container"><img class="rust-logo" src="../../rust-logo.svg" alt="logo"></div>
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<nav class="sidebar"><a class="sidebar-logo" href="../../halo2_gadgets/index.html"><div class="logo-container"><img class="rust-logo" src="../../rust-logo.svg" alt="logo"></div>
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</a><h2 class="location"><a href="#">Module ecc</a></h2><div class="sidebar-elems"><section><div class="block"><ul><li><a href="#modules">Modules</a></li><li><a href="#structs">Structs</a></li><li><a href="#traits">Traits</a></li></ul></div></section></div></nav><main><div class="width-limiter"><div class="sub-container"><a class="sub-logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../rust-logo.svg" alt="logo"></a><nav class="sub"><form class="search-form"><div class="search-container"><span></span><input class="search-input" name="search" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><button type="button">?</button></div><div id="settings-menu" tabindex="-1">
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<h1 class="fqn"><span class="in-band">Module <a href="../index.html">halo2_gadgets</a>::<wbr><a class="mod" href="#">ecc</a><button id="copy-path" onclick="copy_path(this)" title="Copy item path to clipboard"><img src="../../clipboard.svg" width="19" height="18" alt="Copy item path"></button></span></h1><span class="out-of-band"><a class="srclink" href="../../src/halo2_gadgets/ecc.rs.html#1-918">source</a> · <a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class="inner">−</span>]</a></span></div><details class="rustdoc-toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Elliptic curve operations.</p>
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</div></details><h2 id="modules" class="small-section-header"><a href="#modules">Modules</a></h2>
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<div class="item-table"><div class="item-row"><div class="item-left module-item"><a class="mod" href="chip/index.html" title="halo2_gadgets::ecc::chip mod">chip</a></div><div class="item-right docblock-short"><p>Chip implementations for the ECC gadgets.</p>
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</div></div></div><h2 id="structs" class="small-section-header"><a href="#structs">Structs</a></h2>
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<div class="item-table"><div class="item-row"><div class="item-left module-item"><a class="struct" href="struct.FixedPoint.html" title="halo2_gadgets::ecc::FixedPoint struct">FixedPoint</a></div><div class="item-right docblock-short"><p>Precomputed multiples of a fixed point, for full-width scalar multiplication.</p>
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</div></div><div class="item-row"><div class="item-left module-item"><a class="struct" href="struct.FixedPointBaseField.html" title="halo2_gadgets::ecc::FixedPointBaseField struct">FixedPointBaseField</a></div><div class="item-right docblock-short"><p>Precomputed multiples of a fixed point, that can be multiplied by base-field elements.</p>
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</div></div><div class="item-row"><div class="item-left module-item"><a class="struct" href="struct.FixedPointShort.html" title="halo2_gadgets::ecc::FixedPointShort struct">FixedPointShort</a></div><div class="item-right docblock-short"><p>Precomputed multiples of a fixed point, for short signed scalar multiplication.</p>
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</div></div><div class="item-row"><div class="item-left module-item"><a class="struct" href="struct.NonIdentityPoint.html" title="halo2_gadgets::ecc::NonIdentityPoint struct">NonIdentityPoint</a></div><div class="item-right docblock-short"><p>A point on a specific elliptic curve that is guaranteed to not be the identity.</p>
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</div></div><div class="item-row"><div class="item-left module-item"><a class="struct" href="struct.Point.html" title="halo2_gadgets::ecc::Point struct">Point</a></div><div class="item-right docblock-short"><p>A point on a specific elliptic curve.</p>
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</div></div><div class="item-row"><div class="item-left module-item"><a class="struct" href="struct.ScalarFixed.html" title="halo2_gadgets::ecc::ScalarFixed struct">ScalarFixed</a></div><div class="item-right docblock-short"><p>An integer representing an element of the scalar field for a specific elliptic curve,
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for <a href="struct.FixedPoint.html" title="FixedPoint"><code>FixedPoint</code></a> scalar multiplication.</p>
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</div></div><div class="item-row"><div class="item-left module-item"><a class="struct" href="struct.ScalarFixedShort.html" title="halo2_gadgets::ecc::ScalarFixedShort struct">ScalarFixedShort</a></div><div class="item-right docblock-short"><p>A signed short (64-bit) integer represented as an element of the scalar field for a
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specific elliptic curve, to be used for <a href="struct.FixedPointShort.html" title="FixedPointShort"><code>FixedPointShort</code></a> scalar multiplication.</p>
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</div></div><div class="item-row"><div class="item-left module-item"><a class="struct" href="struct.ScalarVar.html" title="halo2_gadgets::ecc::ScalarVar struct">ScalarVar</a></div><div class="item-right docblock-short"><p>An integer representing an element of the scalar field for a specific elliptic curve.</p>
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</div></div><div class="item-row"><div class="item-left module-item"><a class="struct" href="struct.X.html" title="halo2_gadgets::ecc::X struct">X</a></div><div class="item-right docblock-short"><p>The affine short Weierstrass x-coordinate of a point on a specific elliptic curve.</p>
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</div></div></div><h2 id="traits" class="small-section-header"><a href="#traits">Traits</a></h2>
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<div class="item-table"><div class="item-row"><div class="item-left module-item"><a class="trait" href="trait.BaseFitsInScalarInstructions.html" title="halo2_gadgets::ecc::BaseFitsInScalarInstructions trait">BaseFitsInScalarInstructions</a></div><div class="item-right docblock-short"><p>Instructions that can be implemented for a curve whose base field fits into
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its scalar field.</p>
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</div></div><div class="item-row"><div class="item-left module-item"><a class="trait" href="trait.EccInstructions.html" title="halo2_gadgets::ecc::EccInstructions trait">EccInstructions</a></div><div class="item-right docblock-short"><p>The set of circuit instructions required to use the ECC gadgets.</p>
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</div></div><div class="item-row"><div class="item-left module-item"><a class="trait" href="trait.FixedPoints.html" title="halo2_gadgets::ecc::FixedPoints trait">FixedPoints</a></div><div class="item-right docblock-short"><p>Defines the fixed points for a given instantiation of the ECC chip.</p>
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