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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="API documentation for the Rust `E` type in crate `arrabiata`."><title>E in arrabiata::columns - 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-9bb858ba049f1f21.css" id="mainThemeStyle"><meta name="rustdoc-vars" data-root-path="../../" data-static-root-path="../../static.files/" data-current-crate="arrabiata" data-themes="" data-resource-suffix="" data-rustdoc-version="1.72.1 (d5c2e9c34 2023-09-13)" data-channel="1.72.1" data-search-js="search-f6292fe389d70017.js" data-settings-js="settings-de11bff964e9d4e5.js" data-settings-css="settings-8c76f75bfb6bd192.css" data-theme-light-css="light-0f8c037637f9eb3e.css" data-theme-dark-css="dark-1097f8e92a01e3cf.css" data-theme-ayu-css="ayu-614652228113ac93.css" ><script src="../../static.files/storage-59fd9b8ccb335783.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../static.files/main-0795b7d26be81095.js"></script><noscript><link rel="stylesheet" media="(prefers-color-scheme:light)" href="../../static.files/light-0f8c037637f9eb3e.css"><link rel="stylesheet" media="(prefers-color-scheme:dark)" href="../../static.files/dark-1097f8e92a01e3cf.css"><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"></head><body class="rustdoc type"><!--[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="../../arrabiata/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="../../arrabiata/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">E</a></h2><div class="sidebar-elems"><h2><a href="index.html">In arrabiata::columns</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-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Type Definition <a href="../index.html">arrabiata</a>::<wbr><a href="index.html">columns</a>::<wbr><a class="type" href="#">E</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="srclink" href="../../src/arrabiata/columns.rs.html#96">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub type E&lt;Fp&gt; = <a class="type" href="../../kimchi/circuits/expr/type.Expr.html" title="type kimchi::circuits::expr::Expr">Expr</a>&lt;<a class="type" href="../../kimchi/circuits/expr/type.ConstantExpr.html" title="type kimchi::circuits::expr::ConstantExpr">ConstantExpr</a>&lt;Fp, <a class="enum" href="enum.ChallengeTerm.html" title="enum arrabiata::columns::ChallengeTerm">ChallengeTerm</a>&gt;, <a class="enum" href="enum.Column.html" title="enum arrabiata::columns::Column">Column</a>&gt;;</code></pre></section></div></main></body></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="API documentation for the Rust `E` type in crate `arrabiata`."><title>E in arrabiata::columns - 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-9bb858ba049f1f21.css" id="mainThemeStyle"><meta name="rustdoc-vars" data-root-path="../../" data-static-root-path="../../static.files/" data-current-crate="arrabiata" data-themes="" data-resource-suffix="" data-rustdoc-version="1.72.1 (d5c2e9c34 2023-09-13)" data-channel="1.72.1" data-search-js="search-f6292fe389d70017.js" data-settings-js="settings-de11bff964e9d4e5.js" data-settings-css="settings-8c76f75bfb6bd192.css" data-theme-light-css="light-0f8c037637f9eb3e.css" data-theme-dark-css="dark-1097f8e92a01e3cf.css" data-theme-ayu-css="ayu-614652228113ac93.css" ><script src="../../static.files/storage-59fd9b8ccb335783.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../static.files/main-0795b7d26be81095.js"></script><noscript><link rel="stylesheet" media="(prefers-color-scheme:light)" href="../../static.files/light-0f8c037637f9eb3e.css"><link rel="stylesheet" media="(prefers-color-scheme:dark)" href="../../static.files/dark-1097f8e92a01e3cf.css"><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"></head><body class="rustdoc type"><!--[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="../../arrabiata/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="../../arrabiata/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">E</a></h2><div class="sidebar-elems"><h2><a href="index.html">In arrabiata::columns</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-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Type Definition <a href="../index.html">arrabiata</a>::<wbr><a href="index.html">columns</a>::<wbr><a class="type" href="#">E</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="srclink" href="../../src/arrabiata/columns.rs.html#96">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub type E&lt;Fp&gt; = Expr&lt;ConstantExpr&lt;Fp, <a class="enum" href="enum.ChallengeTerm.html" title="enum arrabiata::columns::ChallengeTerm">ChallengeTerm</a>&gt;, <a class="enum" href="enum.Column.html" title="enum arrabiata::columns::Column">Column</a>&gt;;</code></pre></section></div></main></body></html>
2 changes: 1 addition & 1 deletion rustdoc/arrabiata/constraints/struct.Env.html
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Expand Up @@ -47,7 +47,7 @@ <h5 id="safety"><a href="#safety">Safety</a></h5>
y1: Self::<a class="associatedtype" href="../interpreter/trait.InterpreterEnv.html#associatedtype.Variable" title="type arrabiata::interpreter::InterpreterEnv::Variable">Variable</a>
) -&gt; (Self::<a class="associatedtype" href="../interpreter/trait.InterpreterEnv.html#associatedtype.Variable" title="type arrabiata::interpreter::InterpreterEnv::Variable">Variable</a>, Self::<a class="associatedtype" href="../interpreter/trait.InterpreterEnv.html#associatedtype.Variable" title="type arrabiata::interpreter::InterpreterEnv::Variable">Variable</a>)</h4></section></summary><div class="docblock"><p>Double the elliptic curve point given by the affine coordinates
<code>(x1, y1)</code> and save the result in the registers <code>pos_x</code> and <code>pos_y</code>.</p>
</div></details><section id="associatedtype.Position" class="associatedtype trait-impl"><a href="#associatedtype.Position" class="anchor">§</a><h4 class="code-header">type <a href="../interpreter/trait.InterpreterEnv.html#associatedtype.Position" class="associatedtype">Position</a> = (<a class="enum" href="../columns/enum.Column.html" title="enum arrabiata::columns::Column">Column</a>, <a class="enum" href="../../kimchi/circuits/gate/enum.CurrOrNext.html" title="enum kimchi::circuits::gate::CurrOrNext">CurrOrNext</a>)</h4></section><details class="toggle" open><summary><section id="associatedtype.Variable" class="associatedtype trait-impl"><a href="#associatedtype.Variable" class="anchor">§</a><h4 class="code-header">type <a href="../interpreter/trait.InterpreterEnv.html#associatedtype.Variable" class="associatedtype">Variable</a> = <a class="enum" href="../../kimchi/circuits/expr/enum.Operations.html" title="enum kimchi::circuits::expr::Operations">Operations</a>&lt;<a class="enum" href="../../kimchi/circuits/expr/enum.ExprInner.html" title="enum kimchi::circuits::expr::ExprInner">ExprInner</a>&lt;<a class="enum" href="../../kimchi/circuits/expr/enum.Operations.html" title="enum kimchi::circuits::expr::Operations">Operations</a>&lt;<a class="enum" href="../../kimchi/circuits/expr/enum.ConstantExprInner.html" title="enum kimchi::circuits::expr::ConstantExprInner">ConstantExprInner</a>&lt;Fp, <a class="enum" href="../columns/enum.ChallengeTerm.html" title="enum arrabiata::columns::ChallengeTerm">ChallengeTerm</a>&gt;&gt;, <a class="enum" href="../columns/enum.Column.html" title="enum arrabiata::columns::Column">Column</a>&gt;&gt;</h4></section></summary><div class='docblock'>The variable should be seen as a certain object that can be built by
</div></details><section id="associatedtype.Position" class="associatedtype trait-impl"><a href="#associatedtype.Position" class="anchor">§</a><h4 class="code-header">type <a href="../interpreter/trait.InterpreterEnv.html#associatedtype.Position" class="associatedtype">Position</a> = (<a class="enum" href="../columns/enum.Column.html" title="enum arrabiata::columns::Column">Column</a>, CurrOrNext)</h4></section><details class="toggle" open><summary><section id="associatedtype.Variable" class="associatedtype trait-impl"><a href="#associatedtype.Variable" class="anchor">§</a><h4 class="code-header">type <a href="../interpreter/trait.InterpreterEnv.html#associatedtype.Variable" class="associatedtype">Variable</a> = Operations&lt;ExprInner&lt;Operations&lt;ConstantExprInner&lt;Fp, <a class="enum" href="../columns/enum.ChallengeTerm.html" title="enum arrabiata::columns::ChallengeTerm">ChallengeTerm</a>&gt;&gt;, <a class="enum" href="../columns/enum.Column.html" title="enum arrabiata::columns::Column">Column</a>&gt;&gt;</h4></section></summary><div class='docblock'>The variable should be seen as a certain object that can be built by
multiplying and adding, i.e. the variable can be seen as a solution
to a polynomial.
When instantiating as expressions - “constraints” - it defines
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