mirror of https://github.com/zcash/halo2.git
39 lines
16 KiB
HTML
39 lines
16 KiB
HTML
<!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="Returns information about a fixed point that is required by [`EccChip`]."><meta name="keywords" content="rust, rustlang, rust-lang, FixedPoint"><title>FixedPoint in halo2_gadgets::ecc::chip - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Regular-1f7d512b176f0f72.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-124a1ca42af929b6.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-52c5db6f6f352e54.css" id="mainThemeStyle"><link rel="stylesheet" id="themeStyle" href="../../../static.files/light-4743e13df3dfe8c4.css"><link rel="stylesheet" disabled href="../../../static.files/dark-0e1b889528bd466b.css"><link rel="stylesheet" disabled href="../../../static.files/ayu-65289d5d067c7c66.css"><script id="default-settings" ></script><script src="../../../static.files/storage-d43fa987303ecbbb.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../static.files/main-3367e395607fafc1.js"></script><noscript><link rel="stylesheet" href="../../../static.files/noscript-13285aec31fa243e.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">
|
||
<script src="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.js" integrity="sha384-K3vbOmF2BtaVai+Qk37uypf7VrgBubhQreNQe9aGsz9lB63dIFiQVlJbr92dw2Lx" crossorigin="anonymous"></script>
|
||
<script src="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/contrib/auto-render.min.js" integrity="sha384-kmZOZB5ObwgQnS/DuDg6TScgOiWWBiVt0plIRkZCmE6rDZGrEOQeHM5PcHi+nyqe" crossorigin="anonymous"></script>
|
||
<script>
|
||
document.addEventListener("DOMContentLoaded", function() {
|
||
renderMathInElement(document.body, {
|
||
delimiters: [
|
||
{left: "$$", right: "$$", display: true},
|
||
{left: "\\(", right: "\\)", display: false},
|
||
{left: "$", right: "$", display: false},
|
||
{left: "\\[", right: "\\]", display: true}
|
||
]
|
||
});
|
||
});
|
||
</script>
|
||
</head><body class="rustdoc trait"><!--[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><h2></h2></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="#">FixedPoint</a></h2><div class="sidebar-elems"><section><h3><a href="#required-associated-types">Required Associated Types</a></h3><ul class="block"><li><a href="#associatedtype.FixedScalarKind">FixedScalarKind</a></li></ul><h3><a href="#required-methods">Required Methods</a></h3><ul class="block"><li><a href="#tymethod.generator">generator</a></li><li><a href="#tymethod.u">u</a></li><li><a href="#tymethod.z">z</a></li></ul><h3><a href="#provided-methods">Provided Methods</a></h3><ul class="block"><li><a href="#method.lagrange_coeffs">lagrange_coeffs</a></li></ul><h3><a href="#implementors">Implementors</a></h3></section><h2><a href="index.html">In halo2_gadgets::ecc::chip</a></h2></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-5ec35bf9ca753509.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Trait <a href="../../index.html">halo2_gadgets</a>::<wbr><a href="../index.html">ecc</a>::<wbr><a href="index.html">chip</a>::<wbr><a class="trait" href="#">FixedPoint</a><button id="copy-path" onclick="copy_path(this)" 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="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#209-226">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><div class="item-decl"><pre class="rust"><code>pub trait FixedPoint<C: CurveAffine>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Eq.html" title="trait core::cmp::Eq">Eq</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> {
|
||
type <a href="#associatedtype.FixedScalarKind" class="associatedtype">FixedScalarKind</a>: <a class="trait" href="trait.FixedScalarKind.html" title="trait halo2_gadgets::ecc::chip::FixedScalarKind">FixedScalarKind</a>;
|
||
|
||
fn <a href="#tymethod.generator" class="fn">generator</a>(&self) -> C;
|
||
<span class="item-spacer"></span> fn <a href="#tymethod.u" class="fn">u</a>(&self) -> <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><[<C::Base as PrimeField>::Repr; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">8</a>]> <a href="#" class="notable-traits" data-ty="Vec<[<C::Base as PrimeField>::Repr; 8]>">ⓘ</a>;
|
||
<span class="item-spacer"></span> fn <a href="#tymethod.z" class="fn">z</a>(&self) -> <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a>> <a href="#" class="notable-traits" data-ty="Vec<u64>">ⓘ</a>;
|
||
|
||
fn <a href="#method.lagrange_coeffs" class="fn">lagrange_coeffs</a>(&self) -> <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><[C::Base; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">8</a>]> <a href="#" class="notable-traits" data-ty="Vec<[C::Base; 8]>">ⓘ</a> { ... }
|
||
}</code></pre></div><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Returns information about a fixed point that is required by <a href="struct.EccChip.html" title="EccChip"><code>EccChip</code></a>.</p>
|
||
<p>For each window required by <code>Self::FixedScalarKind</code>, $z$ is a field element such that for
|
||
each point $(x, y)$ in the window:</p>
|
||
<ul>
|
||
<li>$z + y = u^2$ (some square in the field); and</li>
|
||
<li>$z - y$ is not a square.</li>
|
||
</ul>
|
||
<p>TODO: When associated consts can be used as const generics, introduce a
|
||
<code>const NUM_WINDOWS: usize</code> associated const, and return <code>NUM_WINDOWS</code>-sized
|
||
arrays instead of <code>Vec</code>s.</p>
|
||
</div></details><h2 id="required-associated-types" class="small-section-header">Required Associated Types<a href="#required-associated-types" class="anchor">§</a></h2><div class="methods"><details class="toggle" open><summary><section id="associatedtype.FixedScalarKind" class="method has-srclink"><a class="srclink rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#211">source</a><h4 class="code-header">type <a href="#associatedtype.FixedScalarKind" class="associatedtype">FixedScalarKind</a>: <a class="trait" href="trait.FixedScalarKind.html" title="trait halo2_gadgets::ecc::chip::FixedScalarKind">FixedScalarKind</a></h4></section></summary><div class="docblock"><p>The kind of scalar that this fixed point can be multiplied by.</p>
|
||
</div></details></div><h2 id="required-methods" class="small-section-header">Required Methods<a href="#required-methods" class="anchor">§</a></h2><div class="methods"><details class="toggle method-toggle" open><summary><section id="tymethod.generator" class="method has-srclink"><a class="srclink rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#214">source</a><h4 class="code-header">fn <a href="#tymethod.generator" class="fn">generator</a>(&self) -> C</h4></section></summary><div class="docblock"><p>Returns the generator for this fixed point.</p>
|
||
</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.u" class="method has-srclink"><a class="srclink rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#217">source</a><h4 class="code-header">fn <a href="#tymethod.u" class="fn">u</a>(&self) -> <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><[<C::Base as PrimeField>::Repr; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">8</a>]> <a href="#" class="notable-traits" data-ty="Vec<[<C::Base as PrimeField>::Repr; 8]>">ⓘ</a></h4></section></summary><div class="docblock"><p>Returns the $u$ values for this fixed point.</p>
|
||
</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.z" class="method has-srclink"><a class="srclink rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#220">source</a><h4 class="code-header">fn <a href="#tymethod.z" class="fn">z</a>(&self) -> <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a>> <a href="#" class="notable-traits" data-ty="Vec<u64>">ⓘ</a></h4></section></summary><div class="docblock"><p>Returns the $z$ value for this fixed point.</p>
|
||
</div></details></div><h2 id="provided-methods" class="small-section-header">Provided Methods<a href="#provided-methods" class="anchor">§</a></h2><div class="methods"><details class="toggle method-toggle" open><summary><section id="method.lagrange_coeffs" class="method has-srclink"><a class="srclink rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#223-225">source</a><h4 class="code-header">fn <a href="#method.lagrange_coeffs" class="fn">lagrange_coeffs</a>(&self) -> <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><[C::Base; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">8</a>]> <a href="#" class="notable-traits" data-ty="Vec<[C::Base; 8]>">ⓘ</a></h4></section></summary><div class="docblock"><p>Returns the Lagrange coefficients for this fixed point.</p>
|
||
</div></details></div><h2 id="implementors" class="small-section-header">Implementors<a href="#implementors" class="anchor">§</a></h2><div id="implementors-list"></div><script src="../../../implementors/halo2_gadgets/ecc/chip/trait.FixedPoint.js" async></script><script type="text/json" id="notable-traits-data">{"Vec<[<C::Base as PrimeField>::Repr; 8]>":"<h3>Notable traits for <code><a class=\"struct\" href=\"https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html\" title=\"struct alloc::vec::Vec\">Vec</a><<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.u8.html\">u8</a>, A></code></h3><pre><code><span class=\"where fmt-newline\">impl<A> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/std/io/trait.Write.html\" title=\"trait std::io::Write\">Write</a> for <a class=\"struct\" href=\"https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html\" title=\"struct alloc::vec::Vec\">Vec</a><<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.u8.html\">u8</a>, A><span class=\"where fmt-newline\">where<br> A: <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/alloc/trait.Allocator.html\" title=\"trait core::alloc::Allocator\">Allocator</a>,</span></span>","Vec<[C::Base; 8]>":"<h3>Notable traits for <code><a class=\"struct\" href=\"https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html\" title=\"struct alloc::vec::Vec\">Vec</a><<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.u8.html\">u8</a>, A></code></h3><pre><code><span class=\"where fmt-newline\">impl<A> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/std/io/trait.Write.html\" title=\"trait std::io::Write\">Write</a> for <a class=\"struct\" href=\"https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html\" title=\"struct alloc::vec::Vec\">Vec</a><<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.u8.html\">u8</a>, A><span class=\"where fmt-newline\">where<br> A: <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/alloc/trait.Allocator.html\" title=\"trait core::alloc::Allocator\">Allocator</a>,</span></span>","Vec<u64>":"<h3>Notable traits for <code><a class=\"struct\" href=\"https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html\" title=\"struct alloc::vec::Vec\">Vec</a><<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.u8.html\">u8</a>, A></code></h3><pre><code><span class=\"where fmt-newline\">impl<A> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/std/io/trait.Write.html\" title=\"trait std::io::Write\">Write</a> for <a class=\"struct\" href=\"https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html\" title=\"struct alloc::vec::Vec\">Vec</a><<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.u8.html\">u8</a>, A><span class=\"where fmt-newline\">where<br> A: <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/alloc/trait.Allocator.html\" title=\"trait core::alloc::Allocator\">Allocator</a>,</span></span>"}</script></section></div></main><div id="rustdoc-vars" data-root-path="../../../" data-static-root-path="../../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.68.0-nightly (4c83bd03a 2023-01-19)" data-search-js="search-98d53477a794af0b.js" data-settings-js="settings-c3c521c753752a1a.js" data-settings-css="settings-ab1d4ae2ec52020e.css" ></div></body></html> |