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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="Constants required for the ECC chip."><title>halo2_gadgets::ecc::chip::constants - 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 constants</a></h2><div class="sidebar-elems"><section><ul class="block"><li><a href="#constants">Constants</a></li><li><a href="#functions">Functions</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 href="../index.html">chip</a>::<wbr><a class="mod" href="#">constants</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/constants.rs.html#1-277">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>Constants required for the ECC chip.</p>
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</div></details><h2 id="constants" class="small-section-header"><a href="#constants">Constants</a></h2><ul class="item-table"><li><div class="item-name"><a class="constant" href="constant.FIXED_BASE_WINDOW_SIZE.html" title="constant halo2_gadgets::ecc::chip::constants::FIXED_BASE_WINDOW_SIZE">FIXED_BASE_WINDOW_SIZE</a></div><div class="desc docblock-short">Window size for fixed-base scalar multiplication</div></li><li><div class="item-name"><a class="constant" href="constant.H.html" title="constant halo2_gadgets::ecc::chip::constants::H">H</a></div><div class="desc docblock-short">$2^{<code>FIXED_BASE_WINDOW_SIZE</code>}$</div></li><li><div class="item-name"><a class="constant" href="constant.NUM_WINDOWS.html" title="constant halo2_gadgets::ecc::chip::constants::NUM_WINDOWS">NUM_WINDOWS</a></div><div class="desc docblock-short">Number of windows for a full-width scalar</div></li><li><div class="item-name"><a class="constant" href="constant.NUM_WINDOWS_SHORT.html" title="constant halo2_gadgets::ecc::chip::constants::NUM_WINDOWS_SHORT">NUM_WINDOWS_SHORT</a></div><div class="desc docblock-short">Number of windows for a short signed scalar</div></li></ul><h2 id="functions" class="small-section-header"><a href="#functions">Functions</a></h2><ul class="item-table"><li><div class="item-name"><a class="fn" href="fn.compute_lagrange_coeffs.html" title="fn halo2_gadgets::ecc::chip::constants::compute_lagrange_coeffs">compute_lagrange_coeffs</a></div><div class="desc docblock-short">For each window, we interpolate the $x$-coordinate.
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Here, we pre-compute and store the coefficients of the interpolation polynomial.</div></li><li><div class="item-name"><a class="fn" href="fn.find_zs_and_us.html" title="fn halo2_gadgets::ecc::chip::constants::find_zs_and_us">find_zs_and_us</a></div><div class="desc docblock-short">For each window, $z$ is a field element such that for each point $(x, y)$ in the window:</div></li><li><div class="item-name"><a class="fn" href="fn.test_lagrange_coeffs.html" title="fn halo2_gadgets::ecc::chip::constants::test_lagrange_coeffs">test_lagrange_coeffs</a><span class="stab portability" title="Available on crate feature `test-dependencies` only"><code>test-dependencies</code></span></div><div class="desc docblock-short">Test that Lagrange interpolation coefficients reproduce the correct x-coordinate
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for each fixed-base multiple in each window.</div></li><li><div class="item-name"><a class="fn" href="fn.test_zs_and_us.html" title="fn halo2_gadgets::ecc::chip::constants::test_zs_and_us">test_zs_and_us</a><span class="stab portability" title="Available on crate feature `test-dependencies` only"><code>test-dependencies</code></span></div><div class="desc docblock-short">Test that the z-values and u-values satisfy the conditions:
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1. z + y = u^2,
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2. z - y is not a square
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for the y-coordinate of each fixed-base multiple in each window.</div></li></ul></section></div></main></body></html> |