This commit is contained in:
str4d 2022-05-06 19:00:22 +00:00
parent b44a587077
commit ae24b3f9b8
41 changed files with 563 additions and 924 deletions

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@ -1,452 +0,0 @@
window.BENCHMARK_DATA = {
"lastUpdate": 1651808418599,
"repoUrl": "https://github.com/zcash/halo2",
"entries": {
"halo2 Benchmark": [
{
"commit": {
"author": {
"email": "kris@nutty.land",
"name": "Kris Nuttycombe",
"username": "nuttycom"
},
"committer": {
"email": "noreply@github.com",
"name": "GitHub",
"username": "web-flow"
},
"distinct": true,
"id": "6e762bdde4b3d44dfe260c48dab592b8fd266463",
"message": "Merge pull request #380 from 3for/main\n\n[book] Fix errors and typos",
"timestamp": "2022-05-05T20:42:23-06:00",
"tree_id": "5fec2be1e93eadf09bce1fc97c6046994fd7c034",
"url": "https://github.com/zcash/halo2/commit/6e762bdde4b3d44dfe260c48dab592b8fd266463"
},
"date": 1651808414238,
"tool": "cargo",
"benches": [
{
"name": "WIDTH = 3, RATE = 2-prover",
"value": 75743460,
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"unit": "ns/iter"
},
{
"name": "WIDTH = 3, RATE = 2-verifier",
"value": 3364864,
"range": "± 86864",
"unit": "ns/iter"
},
{
"name": "WIDTH = 9, RATE = 8-prover",
"value": 174227508,
"range": "± 6589024",
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},
{
"name": "WIDTH = 9, RATE = 8-verifier",
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"range": "± 115905",
"unit": "ns/iter"
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{
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"range": "± 11266399",
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{
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{
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{
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{
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{
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{
"name": "Sinsemilla/commit/1086",
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{
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{
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{
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{
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"range": "± 570745",
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{
"name": "fft/k/3",
"value": 7056,
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"unit": "ns/iter"
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{
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{
"name": "fft/k/5",
"value": 14794,
"range": "± 664",
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{
"name": "fft/k/6",
"value": 17335,
"range": "± 318",
"unit": "ns/iter"
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{
"name": "fft/k/7",
"value": 24753,
"range": "± 1110",
"unit": "ns/iter"
},
{
"name": "fft/k/8",
"value": 45904,
"range": "± 1696",
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{
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{
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{
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"range": "± 1029559",
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"range": "± 5731752151",
"unit": "ns/iter"
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{
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"range": "± 1883804",
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{
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{
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"range": "± 3547093",
"unit": "ns/iter"
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{
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"value": 1899544804,
"range": "± 14645481",
"unit": "ns/iter"
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{
"name": "plonk-prover/14",
"value": 3597341978,
"range": "± 14931790",
"unit": "ns/iter"
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{
"name": "plonk-prover/15",
"value": 6974080309,
"range": "± 38041036",
"unit": "ns/iter"
},
{
"name": "plonk-prover/16",
"value": 13459145586,
"range": "± 48243426",
"unit": "ns/iter"
},
{
"name": "plonk-verifier/8",
"value": 5173668,
"range": "± 63509",
"unit": "ns/iter"
},
{
"name": "plonk-verifier/9",
"value": 7965982,
"range": "± 107826",
"unit": "ns/iter"
},
{
"name": "plonk-verifier/10",
"value": 13046883,
"range": "± 461536",
"unit": "ns/iter"
},
{
"name": "plonk-verifier/11",
"value": 21999117,
"range": "± 191579",
"unit": "ns/iter"
},
{
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"value": 37833186,
"range": "± 439676",
"unit": "ns/iter"
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{
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"range": "± 755388",
"unit": "ns/iter"
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{
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"range": "± 480916",
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"value": 221208236,
"range": "± 4141182",
"unit": "ns/iter"
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{
"name": "plonk-verifier/16",
"value": 401626334,
"range": "± 2264404",
"unit": "ns/iter"
}
]
}
]
}
}

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@ -1,279 +0,0 @@
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<meta name="viewport" content="width=device-width, minimum-scale=1.0, initial-scale=1, user-scalable=yes" />
<style>
html {
font-family: BlinkMacSystemFont,-apple-system,"Segoe UI",Roboto,Oxygen,Ubuntu,Cantarell,"Fira Sans","Droid Sans","Helvetica Neue",Helvetica,Arial,sans-serif;
-webkit-font-smoothing: antialiased;
background-color: #fff;
font-size: 16px;
}
body {
color: #4a4a4a;
margin: 8px;
font-size: 1em;
font-weight: 400;
}
header {
margin-bottom: 8px;
display: flex;
flex-direction: column;
}
main {
width: 100%;
display: flex;
flex-direction: column;
}
a {
color: #3273dc;
cursor: pointer;
text-decoration: none;
}
a:hover {
color: #000;
}
button {
color: #fff;
background-color: #3298dc;
border-color: transparent;
cursor: pointer;
text-align: center;
}
button:hover {
background-color: #2793da;
flex: none;
}
.spacer {
flex: auto;
}
.small {
font-size: 0.75rem;
}
footer {
margin-top: 16px;
display: flex;
align-items: center;
}
.header-label {
margin-right: 4px;
}
.benchmark-set {
margin: 8px 0;
width: 100%;
display: flex;
flex-direction: column;
}
.benchmark-title {
font-size: 3rem;
font-weight: 600;
word-break: break-word;
text-align: center;
}
.benchmark-graphs {
display: flex;
flex-direction: row;
justify-content: space-around;
align-items: center;
flex-wrap: wrap;
width: 100%;
}
.benchmark-chart {
max-width: 1000px;
}
</style>
<title>Benchmarks</title>
</head>
<body>
<header id="header">
<div class="header-item">
<strong class="header-label">Last Update:</strong>
<span id="last-update"></span>
</div>
<div class="header-item">
<strong class="header-label">Repository:</strong>
<a id="repository-link" rel="noopener"></a>
</div>
</header>
<main id="main"></main>
<footer>
<button id="dl-button">Download data as JSON</button>
<div class="spacer"></div>
<div class="small">Powered by <a rel="noopener" href="https://github.com/marketplace/actions/continuous-benchmark">github-action-benchmark</a></div>
</footer>
<script src="https://cdn.jsdelivr.net/npm/chart.js@2.9.2/dist/Chart.min.js"></script>
<script src="data.js"></script>
<script id="main-script">
'use strict';
(function() {
// Colors from https://github.com/github/linguist/blob/master/lib/linguist/languages.yml
const toolColors = {
cargo: '#dea584',
go: '#00add8',
benchmarkjs: '#f1e05a',
pytest: '#3572a5',
googlecpp: '#f34b7d',
catch2: '#f34b7d',
julia: '#a270ba',
benchmarkdotnet: '#178600',
customBiggerIsBetter: '#38ff38',
customSmallerIsBetter: '#ff3838',
_: '#333333'
};
function init() {
function collectBenchesPerTestCase(entries) {
const map = new Map();
for (const entry of entries) {
const {commit, date, tool, benches} = entry;
for (const bench of benches) {
const result = { commit, date, tool, bench };
const arr = map.get(bench.name);
if (arr === undefined) {
map.set(bench.name, [result]);
} else {
arr.push(result);
}
}
}
return map;
}
const data = window.BENCHMARK_DATA;
// Render header
document.getElementById('last-update').textContent = new Date(data.lastUpdate).toString();
const repoLink = document.getElementById('repository-link');
repoLink.href = data.repoUrl;
repoLink.textContent = data.repoUrl;
// Render footer
document.getElementById('dl-button').onclick = () => {
const dataUrl = 'data:,' + JSON.stringify(data, null, 2);
const a = document.createElement('a');
a.href = dataUrl;
a.download = 'benchmark_data.json';
a.click();
};
// Prepare data points for charts
return Object.keys(data.entries).map(name => ({
name,
dataSet: collectBenchesPerTestCase(data.entries[name]),
}));
}
function renderAllChars(dataSets) {
function renderGraph(parent, name, dataset) {
const canvas = document.createElement('canvas');
canvas.className = 'benchmark-chart';
parent.appendChild(canvas);
const color = toolColors[dataset.length > 0 ? dataset[0].tool : '_'];
const data = {
labels: dataset.map(d => d.commit.id.slice(0, 7)),
datasets: [
{
label: name,
data: dataset.map(d => d.bench.value),
borderColor: color,
backgroundColor: color + '60', // Add alpha for #rrggbbaa
}
],
};
const options = {
scales: {
xAxes: [
{
scaleLabel: {
display: true,
labelString: 'commit',
},
}
],
yAxes: [
{
scaleLabel: {
display: true,
labelString: dataset.length > 0 ? dataset[0].bench.unit : '',
},
ticks: {
beginAtZero: true,
}
}
],
},
tooltips: {
callbacks: {
afterTitle: items => {
const {index} = items[0];
const data = dataset[index];
return '\n' + data.commit.message + '\n\n' + data.commit.timestamp + ' committed by @' + data.commit.committer.username + '\n';
},
label: item => {
let label = item.value;
const { range, unit } = dataset[item.index].bench;
label += ' ' + unit;
if (range) {
label += ' (' + range + ')';
}
return label;
},
afterLabel: item => {
const { extra } = dataset[item.index].bench;
return extra ? '\n' + extra : '';
}
}
},
onClick: (_mouseEvent, activeElems) => {
if (activeElems.length === 0) {
return;
}
// XXX: Undocumented. How can we know the index?
const index = activeElems[0]._index;
const url = dataset[index].commit.url;
window.open(url, '_blank');
},
};
new Chart(canvas, {
type: 'line',
data,
options,
});
}
function renderBenchSet(name, benchSet, main) {
const setElem = document.createElement('div');
setElem.className = 'benchmark-set';
main.appendChild(setElem);
const nameElem = document.createElement('h1');
nameElem.className = 'benchmark-title';
nameElem.textContent = name;
setElem.appendChild(nameElem);
const graphsElem = document.createElement('div');
graphsElem.className = 'benchmark-graphs';
setElem.appendChild(graphsElem);
for (const [benchName, benches] of benchSet.entries()) {
renderGraph(graphsElem, benchName, benches)
}
}
const main = document.getElementById('main');
for (const {name, dataSet} of dataSets) {
renderBenchSet(name, dataSet, main);
}
}
renderAllChars(init()); // Start
})();
</script>
</body>
</html>

File diff suppressed because one or more lines are too long

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@ -18,11 +18,11 @@
</a><h2 class="location"></h2>
</nav>
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<h1 class="fqn"><span class="in-band">Enum <a href="../../index.html">halo2_gadgets</a>::<wbr><a href="../index.html">ecc</a>::<wbr><a href="index.html">chip</a>::<wbr><a class="enum" href="#">BaseFieldElem</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/chip.rs.html#190">source</a> · <a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class="inner">&#x2212;</span>]</a></span></div><div class="docblock item-decl"><pre class="rust enum"><code>pub enum BaseFieldElem {}</code></pre></div><details class="rustdoc-toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Type marker representing a base field element being used as a scalar in fixed-base
scalar multiplication.</p>
</div></details><h2 id="trait-implementations" class="small-section-header">Trait Implementations<a href="#trait-implementations" class="anchor"></a></h2><div id="trait-implementations-list"><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Debug" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#189">source</a></span><a href="#impl-Debug" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="enum" href="enum.BaseFieldElem.html" title="enum halo2_gadgets::ecc::chip::BaseFieldElem">BaseFieldElem</a></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#189">source</a></span><a href="#method.fmt" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fnname">fmt</a>(&amp;self, f: &amp;mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a>&lt;'_&gt;) -&gt; <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'><p>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-ScalarKind" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#191-193">source</a></span><a href="#impl-ScalarKind" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="trait.ScalarKind.html" title="trait halo2_gadgets::ecc::chip::ScalarKind">ScalarKind</a> for <a class="enum" href="enum.BaseFieldElem.html" title="enum halo2_gadgets::ecc::chip::BaseFieldElem">BaseFieldElem</a></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedconstant.NUM_WINDOWS" class="associatedconstant trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#192">source</a></span><a href="#associatedconstant.NUM_WINDOWS" class="anchor"></a><h4 class="code-header">const <a href="trait.ScalarKind.html#associatedconstant.NUM_WINDOWS" class="constant">NUM_WINDOWS</a>: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> = 85usize</h4></section></summary><div class='docblock'><p>The number of windows that this scalar kind requires.</p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-FixedScalarKind" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#191-193">source</a></span><a href="#impl-FixedScalarKind" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="trait.FixedScalarKind.html" title="trait halo2_gadgets::ecc::chip::FixedScalarKind">FixedScalarKind</a> for <a class="enum" href="enum.BaseFieldElem.html" title="enum halo2_gadgets::ecc::chip::BaseFieldElem">BaseFieldElem</a></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedconstant.NUM_WINDOWS" class="associatedconstant trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#192">source</a></span><a href="#associatedconstant.NUM_WINDOWS" class="anchor"></a><h4 class="code-header">const <a href="trait.FixedScalarKind.html#associatedconstant.NUM_WINDOWS" class="constant">NUM_WINDOWS</a>: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> = 85usize</h4></section></summary><div class='docblock'><p>The number of windows that this scalar kind requires.</p>
</div></details></div></details></div><h2 id="synthetic-implementations" class="small-section-header">Auto Trait Implementations<a href="#synthetic-implementations" class="anchor"></a></h2><div id="synthetic-implementations-list"><section id="impl-RefUnwindSafe" class="impl has-srclink"><a href="#impl-RefUnwindSafe" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a> for <a class="enum" href="enum.BaseFieldElem.html" title="enum halo2_gadgets::ecc::chip::BaseFieldElem">BaseFieldElem</a></h3></section><section id="impl-Send" class="impl has-srclink"><a href="#impl-Send" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a> for <a class="enum" href="enum.BaseFieldElem.html" title="enum halo2_gadgets::ecc::chip::BaseFieldElem">BaseFieldElem</a></h3></section><section id="impl-Sync" class="impl has-srclink"><a href="#impl-Sync" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sync.html" title="trait core::marker::Sync">Sync</a> for <a class="enum" href="enum.BaseFieldElem.html" title="enum halo2_gadgets::ecc::chip::BaseFieldElem">BaseFieldElem</a></h3></section><section id="impl-Unpin" class="impl has-srclink"><a href="#impl-Unpin" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Unpin.html" title="trait core::marker::Unpin">Unpin</a> for <a class="enum" href="enum.BaseFieldElem.html" title="enum halo2_gadgets::ecc::chip::BaseFieldElem">BaseFieldElem</a></h3></section><section id="impl-UnwindSafe" class="impl has-srclink"><a href="#impl-UnwindSafe" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.UnwindSafe.html" title="trait core::panic::unwind_safe::UnwindSafe">UnwindSafe</a> for <a class="enum" href="enum.BaseFieldElem.html" title="enum halo2_gadgets::ecc::chip::BaseFieldElem">BaseFieldElem</a></h3></section></div><h2 id="blanket-implementations" class="small-section-header">Blanket Implementations<a href="#blanket-implementations" class="anchor"></a></h2><div id="blanket-implementations-list"><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-Any" class="impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#132-136">source</a></span><a href="#impl-Any" class="anchor"></a><h3 class="code-header in-band">impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html" title="trait core::any::Any">Any</a> for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: 'static + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.type_id" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#133">source</a></span><a href="#method.type_id" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id" class="fnname">type_id</a>(&amp;self) -&gt; <a class="struct" href="https://doc.rust-lang.org/nightly/core/any/struct.TypeId.html" title="struct core::any::TypeId">TypeId</a></h4></section></summary><div class='docblock'><p>Gets the <code>TypeId</code> of <code>self</code>. <a href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id">Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-Borrow%3CT%3E" class="impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#209-214">source</a></span><a href="#impl-Borrow%3CT%3E" class="anchor"></a><h3 class="code-header in-band">impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html" title="trait core::borrow::Borrow">Borrow</a>&lt;T&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.borrow" class="method trait-impl has-srclink"><span class="rightside"><span class="since" title="const unstable">const: <a href="https://github.com/rust-lang/rust/issues/91522" title="Tracking issue for const_borrow">unstable</a></span> · <a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#211">source</a></span><a href="#method.borrow" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow" class="fnname">borrow</a>(&amp;self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>T</h4></section></summary><div class='docblock'><p>Immutably borrows from an owned value. <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow">Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-BorrowMut%3CT%3E" class="impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#218-222">source</a></span><a href="#impl-BorrowMut%3CT%3E" class="anchor"></a><h3 class="code-header in-band">impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html" title="trait core::borrow::BorrowMut">BorrowMut</a>&lt;T&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.borrow_mut" class="method trait-impl has-srclink"><span class="rightside"><span class="since" title="const unstable">const: <a href="https://github.com/rust-lang/rust/issues/91522" title="Tracking issue for const_borrow">unstable</a></span> · <a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#219">source</a></span><a href="#method.borrow_mut" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html#tymethod.borrow_mut" class="fnname">borrow_mut</a>(&amp;mut self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>T</h4></section></summary><div class='docblock'><p>Mutably borrows from an owned value. <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html#tymethod.borrow_mut">Read more</a></p>

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<h1 class="fqn"><span class="in-band">Enum <a href="../../index.html">halo2_gadgets</a>::<wbr><a href="../index.html">ecc</a>::<wbr><a href="index.html">chip</a>::<wbr><a class="enum" href="#">FullScalar</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/chip.rs.html#174">source</a> · <a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class="inner">&#x2212;</span>]</a></span></div><div class="docblock item-decl"><pre class="rust enum"><code>pub enum FullScalar {}</code></pre></div><details class="rustdoc-toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Type marker representing a full-width scalar for use in fixed-base scalar
multiplication.</p>
</div></details><h2 id="trait-implementations" class="small-section-header">Trait Implementations<a href="#trait-implementations" class="anchor"></a></h2><div id="trait-implementations-list"><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Debug" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#173">source</a></span><a href="#impl-Debug" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="enum" href="enum.FullScalar.html" title="enum halo2_gadgets::ecc::chip::FullScalar">FullScalar</a></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#173">source</a></span><a href="#method.fmt" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fnname">fmt</a>(&amp;self, f: &amp;mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a>&lt;'_&gt;) -&gt; <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'><p>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-ScalarKind" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#175-177">source</a></span><a href="#impl-ScalarKind" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="trait.ScalarKind.html" title="trait halo2_gadgets::ecc::chip::ScalarKind">ScalarKind</a> for <a class="enum" href="enum.FullScalar.html" title="enum halo2_gadgets::ecc::chip::FullScalar">FullScalar</a></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedconstant.NUM_WINDOWS" class="associatedconstant trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#176">source</a></span><a href="#associatedconstant.NUM_WINDOWS" class="anchor"></a><h4 class="code-header">const <a href="trait.ScalarKind.html#associatedconstant.NUM_WINDOWS" class="constant">NUM_WINDOWS</a>: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> = 85usize</h4></section></summary><div class='docblock'><p>The number of windows that this scalar kind requires.</p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-FixedScalarKind" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#175-177">source</a></span><a href="#impl-FixedScalarKind" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="trait.FixedScalarKind.html" title="trait halo2_gadgets::ecc::chip::FixedScalarKind">FixedScalarKind</a> for <a class="enum" href="enum.FullScalar.html" title="enum halo2_gadgets::ecc::chip::FullScalar">FullScalar</a></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedconstant.NUM_WINDOWS" class="associatedconstant trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#176">source</a></span><a href="#associatedconstant.NUM_WINDOWS" class="anchor"></a><h4 class="code-header">const <a href="trait.FixedScalarKind.html#associatedconstant.NUM_WINDOWS" class="constant">NUM_WINDOWS</a>: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> = 85usize</h4></section></summary><div class='docblock'><p>The number of windows that this scalar kind requires.</p>
</div></details></div></details></div><h2 id="synthetic-implementations" class="small-section-header">Auto Trait Implementations<a href="#synthetic-implementations" class="anchor"></a></h2><div id="synthetic-implementations-list"><section id="impl-RefUnwindSafe" class="impl has-srclink"><a href="#impl-RefUnwindSafe" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a> for <a class="enum" href="enum.FullScalar.html" title="enum halo2_gadgets::ecc::chip::FullScalar">FullScalar</a></h3></section><section id="impl-Send" class="impl has-srclink"><a href="#impl-Send" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a> for <a class="enum" href="enum.FullScalar.html" title="enum halo2_gadgets::ecc::chip::FullScalar">FullScalar</a></h3></section><section id="impl-Sync" class="impl has-srclink"><a href="#impl-Sync" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sync.html" title="trait core::marker::Sync">Sync</a> for <a class="enum" href="enum.FullScalar.html" title="enum halo2_gadgets::ecc::chip::FullScalar">FullScalar</a></h3></section><section id="impl-Unpin" class="impl has-srclink"><a href="#impl-Unpin" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Unpin.html" title="trait core::marker::Unpin">Unpin</a> for <a class="enum" href="enum.FullScalar.html" title="enum halo2_gadgets::ecc::chip::FullScalar">FullScalar</a></h3></section><section id="impl-UnwindSafe" class="impl has-srclink"><a href="#impl-UnwindSafe" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.UnwindSafe.html" title="trait core::panic::unwind_safe::UnwindSafe">UnwindSafe</a> for <a class="enum" href="enum.FullScalar.html" title="enum halo2_gadgets::ecc::chip::FullScalar">FullScalar</a></h3></section></div><h2 id="blanket-implementations" class="small-section-header">Blanket Implementations<a href="#blanket-implementations" class="anchor"></a></h2><div id="blanket-implementations-list"><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-Any" class="impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#132-136">source</a></span><a href="#impl-Any" class="anchor"></a><h3 class="code-header in-band">impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html" title="trait core::any::Any">Any</a> for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: 'static + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.type_id" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#133">source</a></span><a href="#method.type_id" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id" class="fnname">type_id</a>(&amp;self) -&gt; <a class="struct" href="https://doc.rust-lang.org/nightly/core/any/struct.TypeId.html" title="struct core::any::TypeId">TypeId</a></h4></section></summary><div class='docblock'><p>Gets the <code>TypeId</code> of <code>self</code>. <a href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id">Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-Borrow%3CT%3E" class="impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#209-214">source</a></span><a href="#impl-Borrow%3CT%3E" class="anchor"></a><h3 class="code-header in-band">impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html" title="trait core::borrow::Borrow">Borrow</a>&lt;T&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.borrow" class="method trait-impl has-srclink"><span class="rightside"><span class="since" title="const unstable">const: <a href="https://github.com/rust-lang/rust/issues/91522" title="Tracking issue for const_borrow">unstable</a></span> · <a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#211">source</a></span><a href="#method.borrow" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow" class="fnname">borrow</a>(&amp;self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>T</h4></section></summary><div class='docblock'><p>Immutably borrows from an owned value. <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow">Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-BorrowMut%3CT%3E" class="impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#218-222">source</a></span><a href="#impl-BorrowMut%3CT%3E" class="anchor"></a><h3 class="code-header in-band">impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html" title="trait core::borrow::BorrowMut">BorrowMut</a>&lt;T&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.borrow_mut" class="method trait-impl has-srclink"><span class="rightside"><span class="since" title="const unstable">const: <a href="https://github.com/rust-lang/rust/issues/91522" title="Tracking issue for const_borrow">unstable</a></span> · <a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#219">source</a></span><a href="#method.borrow_mut" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html#tymethod.borrow_mut" class="fnname">borrow_mut</a>(&amp;mut self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>T</h4></section></summary><div class='docblock'><p>Mutably borrows from an owned value. <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html#tymethod.borrow_mut">Read more</a></p>

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</a><h2 class="location"><a href="#">ScalarVar</a></h2><div class="sidebar-elems"><section><div class="block"><h3 class="sidebar-title"><a href="#variants">Variants</a></h3><ul><li><a href="#variant.BaseFieldElem">BaseFieldElem</a></li><li><a href="#variant.FullWidth">FullWidth</a></li></ul></div><div class="block"><h3 class="sidebar-title"><a href="#trait-implementations">Trait Implementations</a></h3><ul><li><a href="#impl-Clone">Clone</a></li><li><a href="#impl-Debug">Debug</a></li></ul></div><div class="block"><h3 class="sidebar-title"><a href="#synthetic-implementations">Auto Trait Implementations</a></h3><ul><li><a href="#impl-RefUnwindSafe">RefUnwindSafe</a></li><li><a href="#impl-Send">Send</a></li><li><a href="#impl-Sync">Sync</a></li><li><a href="#impl-Unpin">Unpin</a></li><li><a href="#impl-UnwindSafe">UnwindSafe</a></li></ul></div><div class="block"><h3 class="sidebar-title"><a href="#blanket-implementations">Blanket Implementations</a></h3><ul><li><a href="#impl-Any">Any</a></li><li><a href="#impl-Borrow%3CT%3E">Borrow&lt;T&gt;</a></li><li><a href="#impl-BorrowMut%3CT%3E">BorrowMut&lt;T&gt;</a></li><li><a href="#impl-Conv">Conv</a></li><li><a href="#impl-FmtForward">FmtForward</a></li><li><a href="#impl-From%3CT%3E">From&lt;T&gt;</a></li><li><a href="#impl-Into%3CU%3E">Into&lt;U&gt;</a></li><li><a href="#impl-Pipe">Pipe</a></li><li><a href="#impl-Pointable">Pointable</a></li><li><a href="#impl-Tap">Tap</a></li><li><a href="#impl-ToOwned">ToOwned</a></li><li><a href="#impl-TryConv">TryConv</a></li><li><a href="#impl-TryFrom%3CU%3E">TryFrom&lt;U&gt;</a></li><li><a href="#impl-TryInto%3CU%3E">TryInto&lt;U&gt;</a></li><li><a href="#impl-VZip%3CV%3E">VZip&lt;V&gt;</a></li></ul></div></section><h2 class="location"><a href="index.html">In halo2_gadgets::ecc::chip</a></h2><div id="sidebar-vars" data-name="ScalarVar" data-ty="enum" data-relpath=""></div><script defer src="sidebar-items.js"></script></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"><div class="theme-picker hidden"><button id="theme-picker" aria-label="Pick another theme!" aria-haspopup="menu" title="themes"><img width="22" height="22" alt="Pick another theme!" src="../../../brush.svg"></button><div id="theme-choices" role="menu"></div></div><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"><button type="button" id="help-button" title="help">?</button><a id="settings-menu" href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../wheel.svg"></a></div></form></nav></div><section id="main-content" class="content"><div class="main-heading">
<h1 class="fqn"><span class="in-band">Enum <a href="../../index.html">halo2_gadgets</a>::<wbr><a href="../index.html">ecc</a>::<wbr><a href="index.html">chip</a>::<wbr><a class="enum" href="#">ScalarVar</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/chip.rs.html#383-398">source</a> · <a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class="inner">&#x2212;</span>]</a></span></div><div class="docblock item-decl"><pre class="rust enum"><code>pub enum ScalarVar {
BaseFieldElem(<a class="struct" href="../../../halo2_proofs/circuit/struct.AssignedCell.html" title="struct halo2_proofs::circuit::AssignedCell">AssignedCell</a>&lt;Base, Base&gt;),
FullWidth,
}</code></pre></div><details class="rustdoc-toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>An enumeration of the possible types of scalars used in variable-base
multiplication.</p>
</div></details><h2 id="variants" class="variants small-section-header">Variants<a href="#variants" class="anchor"></a></h2><h3 id="variant.BaseFieldElem" class="variant small-section-header"><a href="#variant.BaseFieldElem" class="anchor field"></a><code>BaseFieldElem(<a class="struct" href="../../../halo2_proofs/circuit/struct.AssignedCell.html" title="struct halo2_proofs::circuit::AssignedCell">AssignedCell</a>&lt;Base, Base&gt;)</code></h3><div class="docblock"><p>An element of the elliptic curves base field, that is used as a scalar
in variable-base scalar mul.</p>
<p>It is not true in general that a scalar field element fits in a curves
base field, and in particular it is untrue for the Pallas curve, whose
scalar field <code>Fq</code> is larger than its base field <code>Fp</code>.</p>
<p>However, the only use of variable-base scalar mul in the Orchard protocol
is in deriving diversified addresses <code>[ivk] g_d</code>, and <code>ivk</code> is guaranteed
to be in the base field of the curve. (See non-normative notes in
https://zips.z.cash/protocol/nu5.pdf#orchardkeycomponents.)</p>
</div><h3 id="variant.FullWidth" class="variant small-section-header"><a href="#variant.FullWidth" class="anchor field"></a><code>FullWidth</code></h3><div class="docblock"><p>A full-width scalar. This is unimplemented for halo2_gadgets v0.1.0.</p>
</div><h2 id="trait-implementations" class="small-section-header">Trait Implementations<a href="#trait-implementations" class="anchor"></a></h2><div id="trait-implementations-list"><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Clone" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#382">source</a></span><a href="#impl-Clone" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="enum" href="enum.ScalarVar.html" title="enum halo2_gadgets::ecc::chip::ScalarVar">ScalarVar</a></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#382">source</a></span><a href="#method.clone" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fnname">clone</a>(&amp;self) -&gt; <a class="enum" href="enum.ScalarVar.html" title="enum halo2_gadgets::ecc::chip::ScalarVar">ScalarVar</a></h4></section></summary><div class='docblock'><p>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl has-srclink"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#133-135">source</a></span><a href="#method.clone_from" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fnname">clone_from</a>(&amp;mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self)</h4></section></summary><div class='docblock'><p>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Debug" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#382">source</a></span><a href="#impl-Debug" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="enum" href="enum.ScalarVar.html" title="enum halo2_gadgets::ecc::chip::ScalarVar">ScalarVar</a></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#382">source</a></span><a href="#method.fmt" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fnname">fmt</a>(&amp;self, f: &amp;mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a>&lt;'_&gt;) -&gt; <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'><p>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></p>
</div></details></div></details></div><h2 id="synthetic-implementations" class="small-section-header">Auto Trait Implementations<a href="#synthetic-implementations" class="anchor"></a></h2><div id="synthetic-implementations-list"><section id="impl-RefUnwindSafe" class="impl has-srclink"><a href="#impl-RefUnwindSafe" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a> for <a class="enum" href="enum.ScalarVar.html" title="enum halo2_gadgets::ecc::chip::ScalarVar">ScalarVar</a></h3></section><section id="impl-Send" class="impl has-srclink"><a href="#impl-Send" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a> for <a class="enum" href="enum.ScalarVar.html" title="enum halo2_gadgets::ecc::chip::ScalarVar">ScalarVar</a></h3></section><section id="impl-Sync" class="impl has-srclink"><a href="#impl-Sync" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sync.html" title="trait core::marker::Sync">Sync</a> for <a class="enum" href="enum.ScalarVar.html" title="enum halo2_gadgets::ecc::chip::ScalarVar">ScalarVar</a></h3></section><section id="impl-Unpin" class="impl has-srclink"><a href="#impl-Unpin" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Unpin.html" title="trait core::marker::Unpin">Unpin</a> for <a class="enum" href="enum.ScalarVar.html" title="enum halo2_gadgets::ecc::chip::ScalarVar">ScalarVar</a></h3></section><section id="impl-UnwindSafe" class="impl has-srclink"><a href="#impl-UnwindSafe" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.UnwindSafe.html" title="trait core::panic::unwind_safe::UnwindSafe">UnwindSafe</a> for <a class="enum" href="enum.ScalarVar.html" title="enum halo2_gadgets::ecc::chip::ScalarVar">ScalarVar</a></h3></section></div><h2 id="blanket-implementations" class="small-section-header">Blanket Implementations<a href="#blanket-implementations" class="anchor"></a></h2><div id="blanket-implementations-list"><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-Any" class="impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#132-136">source</a></span><a href="#impl-Any" class="anchor"></a><h3 class="code-header in-band">impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html" title="trait core::any::Any">Any</a> for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: 'static + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.type_id" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#133">source</a></span><a href="#method.type_id" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id" class="fnname">type_id</a>(&amp;self) -&gt; <a class="struct" href="https://doc.rust-lang.org/nightly/core/any/struct.TypeId.html" title="struct core::any::TypeId">TypeId</a></h4></section></summary><div class='docblock'><p>Gets the <code>TypeId</code> of <code>self</code>. <a href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id">Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-Borrow%3CT%3E" class="impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#209-214">source</a></span><a href="#impl-Borrow%3CT%3E" class="anchor"></a><h3 class="code-header in-band">impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html" title="trait core::borrow::Borrow">Borrow</a>&lt;T&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.borrow" class="method trait-impl has-srclink"><span class="rightside"><span class="since" title="const unstable">const: <a href="https://github.com/rust-lang/rust/issues/91522" title="Tracking issue for const_borrow">unstable</a></span> · <a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#211">source</a></span><a href="#method.borrow" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow" class="fnname">borrow</a>(&amp;self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>T</h4></section></summary><div class='docblock'><p>Immutably borrows from an owned value. <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow">Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-BorrowMut%3CT%3E" class="impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#218-222">source</a></span><a href="#impl-BorrowMut%3CT%3E" class="anchor"></a><h3 class="code-header in-band">impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html" title="trait core::borrow::BorrowMut">BorrowMut</a>&lt;T&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.borrow_mut" class="method trait-impl has-srclink"><span class="rightside"><span class="since" title="const unstable">const: <a href="https://github.com/rust-lang/rust/issues/91522" title="Tracking issue for const_borrow">unstable</a></span> · <a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#219">source</a></span><a href="#method.borrow_mut" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html#tymethod.borrow_mut" class="fnname">borrow_mut</a>(&amp;mut self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>T</h4></section></summary><div class='docblock'><p>Mutably borrows from an owned value. <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html#tymethod.borrow_mut">Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-Conv" class="impl has-srclink"><a href="#impl-Conv" class="anchor"></a><h3 class="code-header in-band">impl&lt;T&gt; Conv for T</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.conv" class="method trait-impl has-srclink"><a href="#method.conv" class="anchor"></a><h4 class="code-header">fn <a class="fnname">conv</a>&lt;T&gt;(self) -&gt; T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a>&lt;T&gt;,&nbsp;</span></h4></section></summary><div class='docblock'><p>Converts <code>self</code> into <code>T</code> using <code>Into&lt;T&gt;</code>. <a>Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-FmtForward" class="impl has-srclink"><a href="#impl-FmtForward" class="anchor"></a><h3 class="code-header in-band">impl&lt;T&gt; FmtForward for T</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt_binary" class="method trait-impl has-srclink"><a href="#method.fmt_binary" class="anchor"></a><h4 class="code-header">fn <a class="fnname">fmt_binary</a>(self) -&gt; FmtBinary&lt;Self&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Binary.html" title="trait core::fmt::Binary">Binary</a>,&nbsp;</span></h4></section></summary><div class='docblock'><p>Causes <code>self</code> to use its <code>Binary</code> implementation when <code>Debug</code>-formatted. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt_display" class="method trait-impl has-srclink"><a href="#method.fmt_display" class="anchor"></a><h4 class="code-header">fn <a class="fnname">fmt_display</a>(self) -&gt; FmtDisplay&lt;Self&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Display.html" title="trait core::fmt::Display">Display</a>,&nbsp;</span></h4></section></summary><div class='docblock'><p>Causes <code>self</code> to use its <code>Display</code> implementation when
<code>Debug</code>-formatted. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt_lower_exp" class="method trait-impl has-srclink"><a href="#method.fmt_lower_exp" class="anchor"></a><h4 class="code-header">fn <a class="fnname">fmt_lower_exp</a>(self) -&gt; FmtLowerExp&lt;Self&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.LowerExp.html" title="trait core::fmt::LowerExp">LowerExp</a>,&nbsp;</span></h4></section></summary><div class='docblock'><p>Causes <code>self</code> to use its <code>LowerExp</code> implementation when
<code>Debug</code>-formatted. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt_lower_hex" class="method trait-impl has-srclink"><a href="#method.fmt_lower_hex" class="anchor"></a><h4 class="code-header">fn <a class="fnname">fmt_lower_hex</a>(self) -&gt; FmtLowerHex&lt;Self&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.LowerHex.html" title="trait core::fmt::LowerHex">LowerHex</a>,&nbsp;</span></h4></section></summary><div class='docblock'><p>Causes <code>self</code> to use its <code>LowerHex</code> implementation when
<code>Debug</code>-formatted. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt_octal" class="method trait-impl has-srclink"><a href="#method.fmt_octal" class="anchor"></a><h4 class="code-header">fn <a class="fnname">fmt_octal</a>(self) -&gt; FmtOctal&lt;Self&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Octal.html" title="trait core::fmt::Octal">Octal</a>,&nbsp;</span></h4></section></summary><div class='docblock'><p>Causes <code>self</code> to use its <code>Octal</code> implementation when <code>Debug</code>-formatted. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt_pointer" class="method trait-impl has-srclink"><a href="#method.fmt_pointer" class="anchor"></a><h4 class="code-header">fn <a class="fnname">fmt_pointer</a>(self) -&gt; FmtPointer&lt;Self&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Pointer.html" title="trait core::fmt::Pointer">Pointer</a>,&nbsp;</span></h4></section></summary><div class='docblock'><p>Causes <code>self</code> to use its <code>Pointer</code> implementation when
<code>Debug</code>-formatted. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt_upper_exp" class="method trait-impl has-srclink"><a href="#method.fmt_upper_exp" class="anchor"></a><h4 class="code-header">fn <a class="fnname">fmt_upper_exp</a>(self) -&gt; FmtUpperExp&lt;Self&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.UpperExp.html" title="trait core::fmt::UpperExp">UpperExp</a>,&nbsp;</span></h4></section></summary><div class='docblock'><p>Causes <code>self</code> to use its <code>UpperExp</code> implementation when
<code>Debug</code>-formatted. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt_upper_hex" class="method trait-impl has-srclink"><a href="#method.fmt_upper_hex" class="anchor"></a><h4 class="code-header">fn <a class="fnname">fmt_upper_hex</a>(self) -&gt; FmtUpperHex&lt;Self&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.UpperHex.html" title="trait core::fmt::UpperHex">UpperHex</a>,&nbsp;</span></h4></section></summary><div class='docblock'><p>Causes <code>self</code> to use its <code>UpperHex</code> implementation when
<code>Debug</code>-formatted. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt_list" class="method trait-impl has-srclink"><a href="#method.fmt_list" class="anchor"></a><h4 class="code-header">fn <a class="fnname">fmt_list</a>(self) -&gt; FmtList&lt;Self&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'a </a>Self: for&lt;'a&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/iter/traits/collect/trait.IntoIterator.html" title="trait core::iter::traits::collect::IntoIterator">IntoIterator</a>,&nbsp;</span></h4></section></summary><div class='docblock'><p>Formats each item in a sequence. <a>Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-From%3CT%3E" class="impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/convert/mod.rs.html#557-562">source</a></span><a href="#impl-From%3CT%3E" class="anchor"></a><h3 class="code-header in-band">impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a>&lt;T&gt; for T</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.from" class="method trait-impl has-srclink"><span class="rightside"><span class="since" title="const unstable">const: <a href="https://github.com/rust-lang/rust/issues/88674" title="Tracking issue for const_convert">unstable</a></span> · <a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/convert/mod.rs.html#559">source</a></span><a href="#method.from" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fnname">from</a>(t: T) -&gt; T</h4></section></summary><div class="docblock"><p>Returns the argument unchanged.</p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-Into%3CU%3E" class="impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/convert/mod.rs.html#541-552">source</a></span><a href="#impl-Into%3CU%3E" class="anchor"></a><h3 class="code-header in-band">impl&lt;T, U&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a>&lt;U&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;U: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a>&lt;T&gt;,&nbsp;</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.into" class="method trait-impl has-srclink"><span class="rightside"><span class="since" title="const unstable">const: <a href="https://github.com/rust-lang/rust/issues/88674" title="Tracking issue for const_convert">unstable</a></span> · <a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/convert/mod.rs.html#549">source</a></span><a href="#method.into" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html#tymethod.into" class="fnname">into</a>(self) -&gt; U</h4></section></summary><div class="docblock"><p>Calls <code>U::from(self)</code>.</p>
<p>That is, this conversion is whatever the implementation of
<code><a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="From">From</a>&lt;T&gt; for U</code> chooses to do.</p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-Pipe" class="impl has-srclink"><a href="#impl-Pipe" class="anchor"></a><h3 class="code-header in-band">impl&lt;T&gt; Pipe for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.pipe" class="method trait-impl has-srclink"><a href="#method.pipe" class="anchor"></a><h4 class="code-header">fn <a class="fnname">pipe</a>&lt;R&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(Self) -&gt; R) -&gt; R</h4></section></summary><div class='docblock'><p>Pipes by value. This is generally the method you want to use. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.pipe_ref" class="method trait-impl has-srclink"><a href="#method.pipe_ref" class="anchor"></a><h4 class="code-header">fn <a class="fnname">pipe_ref</a>&lt;'a, R&gt;(&amp;'a self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'a </a>Self) -&gt; R) -&gt; R <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;R: 'a,&nbsp;</span></h4></section></summary><div class='docblock'><p>Borrows <code>self</code> and passes that borrow into the pipe function. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.pipe_ref_mut" class="method trait-impl has-srclink"><a href="#method.pipe_ref_mut" class="anchor"></a><h4 class="code-header">fn <a class="fnname">pipe_ref_mut</a>&lt;'a, R&gt;(&amp;'a mut self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'a mut </a>Self) -&gt; R) -&gt; R <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;R: 'a,&nbsp;</span></h4></section></summary><div class='docblock'><p>Mutably borrows <code>self</code> and passes that borrow into the pipe function. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.pipe_borrow" class="method trait-impl has-srclink"><a href="#method.pipe_borrow" class="anchor"></a><h4 class="code-header">fn <a class="fnname">pipe_borrow</a>&lt;'a, B, R&gt;(&amp;'a self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'a </a>B) -&gt; R) -&gt; R <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html" title="trait core::borrow::Borrow">Borrow</a>&lt;B&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;B: 'a + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;R: 'a,&nbsp;</span></h4></section></summary><div class='docblock'><p>Borrows <code>self</code>, then passes <code>self.borrow()</code> into the pipe function. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.pipe_borrow_mut" class="method trait-impl has-srclink"><a href="#method.pipe_borrow_mut" class="anchor"></a><h4 class="code-header">fn <a class="fnname">pipe_borrow_mut</a>&lt;'a, B, R&gt;(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;'a mut self, <br>&nbsp;&nbsp;&nbsp;&nbsp;func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'a mut </a>B) -&gt; R<br>) -&gt; R <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html" title="trait core::borrow::BorrowMut">BorrowMut</a>&lt;B&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;B: 'a + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;R: 'a,&nbsp;</span></h4></section></summary><div class='docblock'><p>Mutably borrows <code>self</code>, then passes <code>self.borrow_mut()</code> into the pipe
function. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.pipe_as_ref" class="method trait-impl has-srclink"><a href="#method.pipe_as_ref" class="anchor"></a><h4 class="code-header">fn <a class="fnname">pipe_as_ref</a>&lt;'a, U, R&gt;(&amp;'a self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'a </a>U) -&gt; R) -&gt; R <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.AsRef.html" title="trait core::convert::AsRef">AsRef</a>&lt;U&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;U: 'a + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;R: 'a,&nbsp;</span></h4></section></summary><div class='docblock'><p>Borrows <code>self</code>, then passes <code>self.as_ref()</code> into the pipe function.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.pipe_as_mut" class="method trait-impl has-srclink"><a href="#method.pipe_as_mut" class="anchor"></a><h4 class="code-header">fn <a class="fnname">pipe_as_mut</a>&lt;'a, U, R&gt;(&amp;'a mut self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'a mut </a>U) -&gt; R) -&gt; R <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.AsMut.html" title="trait core::convert::AsMut">AsMut</a>&lt;U&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;U: 'a + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;R: 'a,&nbsp;</span></h4></section></summary><div class='docblock'><p>Mutably borrows <code>self</code>, then passes <code>self.as_mut()</code> into the pipe
function. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.pipe_deref" class="method trait-impl has-srclink"><a href="#method.pipe_deref" class="anchor"></a><h4 class="code-header">fn <a class="fnname">pipe_deref</a>&lt;'a, T, R&gt;(&amp;'a self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'a </a>T) -&gt; R) -&gt; R <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/deref/trait.Deref.html" title="trait core::ops::deref::Deref">Deref</a>&lt;Target = T&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;T: 'a + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;R: 'a,&nbsp;</span></h4></section></summary><div class='docblock'><p>Borrows <code>self</code>, then passes <code>self.deref()</code> into the pipe function.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.pipe_deref_mut" class="method trait-impl has-srclink"><a href="#method.pipe_deref_mut" class="anchor"></a><h4 class="code-header">fn <a class="fnname">pipe_deref_mut</a>&lt;'a, T, R&gt;(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;'a mut self, <br>&nbsp;&nbsp;&nbsp;&nbsp;func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'a mut </a>T) -&gt; R<br>) -&gt; R <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/deref/trait.DerefMut.html" title="trait core::ops::deref::DerefMut">DerefMut</a>&lt;Target = T&gt; + <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/deref/trait.Deref.html" title="trait core::ops::deref::Deref">Deref</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;T: 'a + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;R: 'a,&nbsp;</span></h4></section></summary><div class='docblock'><p>Mutably borrows <code>self</code>, then passes <code>self.deref_mut()</code> into the pipe
function. <a>Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-Pointable" class="impl has-srclink"><a href="#impl-Pointable" class="anchor"></a><h3 class="code-header in-band">impl&lt;T&gt; Pointable for T</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedconstant.ALIGN" class="associatedconstant trait-impl has-srclink"><a href="#associatedconstant.ALIGN" class="anchor"></a><h4 class="code-header">const <a class="constant">ALIGN</a>: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> = mem::align_of::<T>()</h4></section></summary><div class='docblock'><p>The alignment of pointer.</p>
</div></details><details class="rustdoc-toggle" open><summary><section id="associatedtype.Init" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Init" class="anchor"></a><h4 class="code-header">type <a class="associatedtype">Init</a> = T</h4></section></summary><div class='docblock'><p>The type for initializers.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.init" class="method trait-impl has-srclink"><a href="#method.init" class="anchor"></a><h4 class="code-header">unsafe fn <a class="fnname">init</a>(init: &lt;T as Pointable&gt;::Init) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></section></summary><div class='docblock'><p>Initializes a with the given initializer. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.deref" class="method trait-impl has-srclink"><a href="#method.deref" class="anchor"></a><h4 class="code-header">unsafe fn <a class="fnname">deref</a>&lt;'a&gt;(ptr: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'a </a>T</h4></section></summary><div class='docblock'><p>Dereferences the given pointer. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.deref_mut" class="method trait-impl has-srclink"><a href="#method.deref_mut" class="anchor"></a><h4 class="code-header">unsafe fn <a class="fnname">deref_mut</a>&lt;'a&gt;(ptr: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;'a mut </a>T</h4></section></summary><div class='docblock'><p>Mutably dereferences the given pointer. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.drop" class="method trait-impl has-srclink"><a href="#method.drop" class="anchor"></a><h4 class="code-header">unsafe fn <a class="fnname">drop</a>(ptr: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>)</h4></section></summary><div class='docblock'><p>Drops the object pointed to by the given pointer. <a>Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-Tap" class="impl has-srclink"><a href="#impl-Tap" class="anchor"></a><h3 class="code-header in-band">impl&lt;T&gt; Tap for T</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap" class="method trait-impl has-srclink"><a href="#method.tap" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap</a>(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self)) -&gt; Self</h4></section></summary><div class='docblock'><p>Immutable access to a value. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_mut" class="method trait-impl has-srclink"><a href="#method.tap_mut" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_mut</a>(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>Self)) -&gt; Self</h4></section></summary><div class='docblock'><p>Mutable access to a value. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_borrow" class="method trait-impl has-srclink"><a href="#method.tap_borrow" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_borrow</a>&lt;B&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>B)) -&gt; Self <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html" title="trait core::borrow::Borrow">Borrow</a>&lt;B&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;B: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h4></section></summary><div class='docblock'><p>Immutable access to the <code>Borrow&lt;B&gt;</code> of a value. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_borrow_mut" class="method trait-impl has-srclink"><a href="#method.tap_borrow_mut" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_borrow_mut</a>&lt;B&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>B)) -&gt; Self <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html" title="trait core::borrow::BorrowMut">BorrowMut</a>&lt;B&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;B: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h4></section></summary><div class='docblock'><p>Mutable access to the <code>BorrowMut&lt;B&gt;</code> of a value. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_ref" class="method trait-impl has-srclink"><a href="#method.tap_ref" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_ref</a>&lt;R&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>R)) -&gt; Self <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.AsRef.html" title="trait core::convert::AsRef">AsRef</a>&lt;R&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;R: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h4></section></summary><div class='docblock'><p>Immutable access to the <code>AsRef&lt;R&gt;</code> view of a value. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_ref_mut" class="method trait-impl has-srclink"><a href="#method.tap_ref_mut" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_ref_mut</a>&lt;R&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>R)) -&gt; Self <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.AsMut.html" title="trait core::convert::AsMut">AsMut</a>&lt;R&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;R: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h4></section></summary><div class='docblock'><p>Mutable access to the <code>AsMut&lt;R&gt;</code> view of a value. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_deref" class="method trait-impl has-srclink"><a href="#method.tap_deref" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_deref</a>&lt;T&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>T)) -&gt; Self <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/deref/trait.Deref.html" title="trait core::ops::deref::Deref">Deref</a>&lt;Target = T&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h4></section></summary><div class='docblock'><p>Immutable access to the <code>Deref::Target</code> of a value. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_deref_mut" class="method trait-impl has-srclink"><a href="#method.tap_deref_mut" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_deref_mut</a>&lt;T&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>T)) -&gt; Self <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/deref/trait.DerefMut.html" title="trait core::ops::deref::DerefMut">DerefMut</a>&lt;Target = T&gt; + <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/deref/trait.Deref.html" title="trait core::ops::deref::Deref">Deref</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h4></section></summary><div class='docblock'><p>Mutable access to the <code>Deref::Target</code> of a value. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_dbg" class="method trait-impl has-srclink"><a href="#method.tap_dbg" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_dbg</a>(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self)) -&gt; Self</h4></section></summary><div class='docblock'><p>Calls <code>.tap()</code> only in debug builds, and is erased in release builds.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_mut_dbg" class="method trait-impl has-srclink"><a href="#method.tap_mut_dbg" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_mut_dbg</a>(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>Self)) -&gt; Self</h4></section></summary><div class='docblock'><p>Calls <code>.tap_mut()</code> only in debug builds, and is erased in release
builds. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_borrow_dbg" class="method trait-impl has-srclink"><a href="#method.tap_borrow_dbg" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_borrow_dbg</a>&lt;B&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>B)) -&gt; Self <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html" title="trait core::borrow::Borrow">Borrow</a>&lt;B&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;B: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h4></section></summary><div class='docblock'><p>Calls <code>.tap_borrow()</code> only in debug builds, and is erased in release
builds. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_borrow_mut_dbg" class="method trait-impl has-srclink"><a href="#method.tap_borrow_mut_dbg" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_borrow_mut_dbg</a>&lt;B&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>B)) -&gt; Self <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html" title="trait core::borrow::BorrowMut">BorrowMut</a>&lt;B&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;B: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h4></section></summary><div class='docblock'><p>Calls <code>.tap_borrow_mut()</code> only in debug builds, and is erased in release
builds. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_ref_dbg" class="method trait-impl has-srclink"><a href="#method.tap_ref_dbg" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_ref_dbg</a>&lt;R&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>R)) -&gt; Self <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.AsRef.html" title="trait core::convert::AsRef">AsRef</a>&lt;R&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;R: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h4></section></summary><div class='docblock'><p>Calls <code>.tap_ref()</code> only in debug builds, and is erased in release
builds. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_ref_mut_dbg" class="method trait-impl has-srclink"><a href="#method.tap_ref_mut_dbg" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_ref_mut_dbg</a>&lt;R&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>R)) -&gt; Self <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.AsMut.html" title="trait core::convert::AsMut">AsMut</a>&lt;R&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;R: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h4></section></summary><div class='docblock'><p>Calls <code>.tap_ref_mut()</code> only in debug builds, and is erased in release
builds. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_deref_dbg" class="method trait-impl has-srclink"><a href="#method.tap_deref_dbg" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_deref_dbg</a>&lt;T&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>T)) -&gt; Self <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/deref/trait.Deref.html" title="trait core::ops::deref::Deref">Deref</a>&lt;Target = T&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h4></section></summary><div class='docblock'><p>Calls <code>.tap_deref()</code> only in debug builds, and is erased in release
builds. <a>Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.tap_deref_mut_dbg" class="method trait-impl has-srclink"><a href="#method.tap_deref_mut_dbg" class="anchor"></a><h4 class="code-header">fn <a class="fnname">tap_deref_mut_dbg</a>&lt;T&gt;(self, func: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>T)) -&gt; Self <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/deref/trait.DerefMut.html" title="trait core::ops::deref::DerefMut">DerefMut</a>&lt;Target = T&gt; + <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/deref/trait.Deref.html" title="trait core::ops::deref::Deref">Deref</a>,<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h4></section></summary><div class='docblock'><p>Calls <code>.tap_deref_mut()</code> only in debug builds, and is erased in release
builds. <a>Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-ToOwned" class="impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/alloc/borrow.rs.html#84-96">source</a></span><a href="#impl-ToOwned" class="anchor"></a><h3 class="code-header in-band">impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/alloc/borrow/trait.ToOwned.html" title="trait alloc::borrow::ToOwned">ToOwned</a> for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>,&nbsp;</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Owned" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Owned" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/alloc/borrow/trait.ToOwned.html#associatedtype.Owned" class="associatedtype">Owned</a> = T</h4></section></summary><div class='docblock'><p>The resulting type after obtaining ownership.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.to_owned" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/alloc/borrow.rs.html#89">source</a></span><a href="#method.to_owned" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/alloc/borrow/trait.ToOwned.html#tymethod.to_owned" class="fnname">to_owned</a>(&amp;self) -&gt; T</h4></section></summary><div class='docblock'><p>Creates owned data from borrowed data, usually by cloning. <a href="https://doc.rust-lang.org/nightly/alloc/borrow/trait.ToOwned.html#tymethod.to_owned">Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.clone_into" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/alloc/borrow.rs.html#93">source</a></span><a href="#method.clone_into" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/alloc/borrow/trait.ToOwned.html#method.clone_into" class="fnname">clone_into</a>(&amp;self, target: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>T)</h4></section></summary><span class="item-info"><div class="stab unstable"><span class="emoji">🔬</span> This is a nightly-only experimental API. (<code>toowned_clone_into</code>)</div></span><div class='docblock'><p>Uses borrowed data to replace owned data, usually by cloning. <a href="https://doc.rust-lang.org/nightly/alloc/borrow/trait.ToOwned.html#method.clone_into">Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-TryConv" class="impl has-srclink"><a href="#impl-TryConv" class="anchor"></a><h3 class="code-header in-band">impl&lt;T&gt; TryConv for T</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.try_conv" class="method trait-impl has-srclink"><a href="#method.try_conv" class="anchor"></a><h4 class="code-header">fn <a class="fnname">try_conv</a>&lt;T&gt;(self) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;T, Self::<a class="associatedtype" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html#associatedtype.Error" title="type core::convert::TryInto::Error">Error</a>&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html" title="trait core::convert::TryInto">TryInto</a>&lt;T&gt;,&nbsp;</span></h4></section></summary><div class='docblock'><p>Attempts to convert <code>self</code> into <code>T</code> using <code>TryInto&lt;T&gt;</code>. <a>Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-TryFrom%3CU%3E" class="impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/convert/mod.rs.html#598-607">source</a></span><a href="#impl-TryFrom%3CU%3E" class="anchor"></a><h3 class="code-header in-band">impl&lt;T, U&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;U&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;U: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a>&lt;T&gt;,&nbsp;</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Error" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Error" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" class="associatedtype">Error</a> = <a class="enum" href="https://doc.rust-lang.org/nightly/core/convert/enum.Infallible.html" title="enum core::convert::Infallible">Infallible</a></h4></section></summary><div class='docblock'><p>The type returned in the event of a conversion error.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.try_from" class="method trait-impl has-srclink"><span class="rightside"><span class="since" title="const unstable">const: <a href="https://github.com/rust-lang/rust/issues/88674" title="Tracking issue for const_convert">unstable</a></span> · <a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/convert/mod.rs.html#604">source</a></span><a href="#method.try_from" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#tymethod.try_from" class="fnname">try_from</a>(value: U) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;T, &lt;T as <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;U&gt;&gt;::<a class="associatedtype" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" title="type core::convert::TryFrom::Error">Error</a>&gt;</h4></section></summary><div class='docblock'><p>Performs the conversion.</p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-TryInto%3CU%3E" class="impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/convert/mod.rs.html#583-592">source</a></span><a href="#impl-TryInto%3CU%3E" class="anchor"></a><h3 class="code-header in-band">impl&lt;T, U&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html" title="trait core::convert::TryInto">TryInto</a>&lt;U&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;U: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;T&gt;,&nbsp;</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Error-1" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Error-1" class="anchor"></a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html#associatedtype.Error" class="associatedtype">Error</a> = &lt;U as <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;T&gt;&gt;::<a class="associatedtype" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" title="type core::convert::TryFrom::Error">Error</a></h4></section></summary><div class='docblock'><p>The type returned in the event of a conversion error.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.try_into" class="method trait-impl has-srclink"><span class="rightside"><span class="since" title="const unstable">const: <a href="https://github.com/rust-lang/rust/issues/88674" title="Tracking issue for const_convert">unstable</a></span> · <a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/convert/mod.rs.html#589">source</a></span><a href="#method.try_into" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.TryInto.html#tymethod.try_into" class="fnname">try_into</a>(self) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;U, &lt;U as <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a>&lt;T&gt;&gt;::<a class="associatedtype" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" title="type core::convert::TryFrom::Error">Error</a>&gt;</h4></section></summary><div class='docblock'><p>Performs the conversion.</p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-VZip%3CV%3E" class="impl has-srclink"><a href="#impl-VZip%3CV%3E" class="anchor"></a><h3 class="code-header in-band">impl&lt;V, T&gt; VZip&lt;V&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;V: MultiLane&lt;T&gt;,&nbsp;</span></h3></section></summary><div class="impl-items"><section id="method.vzip" class="method trait-impl has-srclink"><a href="#method.vzip" class="anchor"></a><h4 class="code-header">fn <a class="fnname">vzip</a>(self) -&gt; V</h4></section></div></details></div></section></div></main><div id="rustdoc-vars" data-root-path="../../../" data-current-crate="halo2_gadgets" data-themes="ayu,dark,light" data-resource-suffix="" data-rustdoc-version="1.62.0-nightly (30f386087 2022-05-05)" ></div>
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<h1 class="fqn"><span class="in-band">Enum <a href="../../index.html">halo2_gadgets</a>::<wbr><a href="../index.html">ecc</a>::<wbr><a href="index.html">chip</a>::<wbr><a class="enum" href="#">ShortScalar</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/chip.rs.html#182">source</a> · <a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class="inner">&#x2212;</span>]</a></span></div><div class="docblock item-decl"><pre class="rust enum"><code>pub enum ShortScalar {}</code></pre></div><details class="rustdoc-toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Type marker representing a signed 64-bit scalar for use in fixed-base scalar
multiplication.</p>
</div></details><h2 id="trait-implementations" class="small-section-header">Trait Implementations<a href="#trait-implementations" class="anchor"></a></h2><div id="trait-implementations-list"><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Debug" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#181">source</a></span><a href="#impl-Debug" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="enum" href="enum.ShortScalar.html" title="enum halo2_gadgets::ecc::chip::ShortScalar">ShortScalar</a></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#181">source</a></span><a href="#method.fmt" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fnname">fmt</a>(&amp;self, f: &amp;mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a>&lt;'_&gt;) -&gt; <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'><p>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-ScalarKind" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#183-185">source</a></span><a href="#impl-ScalarKind" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="trait.ScalarKind.html" title="trait halo2_gadgets::ecc::chip::ScalarKind">ScalarKind</a> for <a class="enum" href="enum.ShortScalar.html" title="enum halo2_gadgets::ecc::chip::ShortScalar">ShortScalar</a></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedconstant.NUM_WINDOWS" class="associatedconstant trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#184">source</a></span><a href="#associatedconstant.NUM_WINDOWS" class="anchor"></a><h4 class="code-header">const <a href="trait.ScalarKind.html#associatedconstant.NUM_WINDOWS" class="constant">NUM_WINDOWS</a>: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> = 22usize</h4></section></summary><div class='docblock'><p>The number of windows that this scalar kind requires.</p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-FixedScalarKind" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#183-185">source</a></span><a href="#impl-FixedScalarKind" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="trait.FixedScalarKind.html" title="trait halo2_gadgets::ecc::chip::FixedScalarKind">FixedScalarKind</a> for <a class="enum" href="enum.ShortScalar.html" title="enum halo2_gadgets::ecc::chip::ShortScalar">ShortScalar</a></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedconstant.NUM_WINDOWS" class="associatedconstant trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#184">source</a></span><a href="#associatedconstant.NUM_WINDOWS" class="anchor"></a><h4 class="code-header">const <a href="trait.FixedScalarKind.html#associatedconstant.NUM_WINDOWS" class="constant">NUM_WINDOWS</a>: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> = 22usize</h4></section></summary><div class='docblock'><p>The number of windows that this scalar kind requires.</p>
</div></details></div></details></div><h2 id="synthetic-implementations" class="small-section-header">Auto Trait Implementations<a href="#synthetic-implementations" class="anchor"></a></h2><div id="synthetic-implementations-list"><section id="impl-RefUnwindSafe" class="impl has-srclink"><a href="#impl-RefUnwindSafe" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a> for <a class="enum" href="enum.ShortScalar.html" title="enum halo2_gadgets::ecc::chip::ShortScalar">ShortScalar</a></h3></section><section id="impl-Send" class="impl has-srclink"><a href="#impl-Send" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a> for <a class="enum" href="enum.ShortScalar.html" title="enum halo2_gadgets::ecc::chip::ShortScalar">ShortScalar</a></h3></section><section id="impl-Sync" class="impl has-srclink"><a href="#impl-Sync" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sync.html" title="trait core::marker::Sync">Sync</a> for <a class="enum" href="enum.ShortScalar.html" title="enum halo2_gadgets::ecc::chip::ShortScalar">ShortScalar</a></h3></section><section id="impl-Unpin" class="impl has-srclink"><a href="#impl-Unpin" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Unpin.html" title="trait core::marker::Unpin">Unpin</a> for <a class="enum" href="enum.ShortScalar.html" title="enum halo2_gadgets::ecc::chip::ShortScalar">ShortScalar</a></h3></section><section id="impl-UnwindSafe" class="impl has-srclink"><a href="#impl-UnwindSafe" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.UnwindSafe.html" title="trait core::panic::unwind_safe::UnwindSafe">UnwindSafe</a> for <a class="enum" href="enum.ShortScalar.html" title="enum halo2_gadgets::ecc::chip::ShortScalar">ShortScalar</a></h3></section></div><h2 id="blanket-implementations" class="small-section-header">Blanket Implementations<a href="#blanket-implementations" class="anchor"></a></h2><div id="blanket-implementations-list"><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-Any" class="impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#132-136">source</a></span><a href="#impl-Any" class="anchor"></a><h3 class="code-header in-band">impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html" title="trait core::any::Any">Any</a> for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: 'static + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.type_id" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#133">source</a></span><a href="#method.type_id" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id" class="fnname">type_id</a>(&amp;self) -&gt; <a class="struct" href="https://doc.rust-lang.org/nightly/core/any/struct.TypeId.html" title="struct core::any::TypeId">TypeId</a></h4></section></summary><div class='docblock'><p>Gets the <code>TypeId</code> of <code>self</code>. <a href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id">Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-Borrow%3CT%3E" class="impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#209-214">source</a></span><a href="#impl-Borrow%3CT%3E" class="anchor"></a><h3 class="code-header in-band">impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html" title="trait core::borrow::Borrow">Borrow</a>&lt;T&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.borrow" class="method trait-impl has-srclink"><span class="rightside"><span class="since" title="const unstable">const: <a href="https://github.com/rust-lang/rust/issues/91522" title="Tracking issue for const_borrow">unstable</a></span> · <a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#211">source</a></span><a href="#method.borrow" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow" class="fnname">borrow</a>(&amp;self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>T</h4></section></summary><div class='docblock'><p>Immutably borrows from an owned value. <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow">Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-BorrowMut%3CT%3E" class="impl has-srclink"><span class="rightside"><a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#218-222">source</a></span><a href="#impl-BorrowMut%3CT%3E" class="anchor"></a><h3 class="code-header in-band">impl&lt;T&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html" title="trait core::borrow::BorrowMut">BorrowMut</a>&lt;T&gt; for T <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,&nbsp;</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.borrow_mut" class="method trait-impl has-srclink"><span class="rightside"><span class="since" title="const unstable">const: <a href="https://github.com/rust-lang/rust/issues/91522" title="Tracking issue for const_borrow">unstable</a></span> · <a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#219">source</a></span><a href="#method.borrow_mut" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html#tymethod.borrow_mut" class="fnname">borrow_mut</a>(&amp;mut self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;mut </a>T</h4></section></summary><div class='docblock'><p>Mutably borrows from an owned value. <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html#tymethod.borrow_mut">Read more</a></p>

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</a><h2 class="location"><a href="#">Module chip</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="#enums">Enums</a></li><li><a href="#traits">Traits</a></li></ul></div></section><div id="sidebar-vars" data-name="chip" data-ty="mod" data-relpath="./"></div><script defer src="./sidebar-items.js"></script></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"><div class="theme-picker hidden"><button id="theme-picker" aria-label="Pick another theme!" aria-haspopup="menu" title="themes"><img width="22" height="22" alt="Pick another theme!" src="../../../brush.svg"></button><div id="theme-choices" role="menu"></div></div><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"><button type="button" id="help-button" title="help">?</button><a id="settings-menu" href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../wheel.svg"></a></div></form></nav></div><section id="main-content" class="content"><div class="main-heading">
<h1 class="fqn"><span class="in-band">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" 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/chip.rs.html#1-526">source</a> · <a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class="inner">&#x2212;</span>]</a></span></div><details class="rustdoc-toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Chip implementations for the ECC gadgets.</p>
<h1 class="fqn"><span class="in-band">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" 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/chip.rs.html#1-579">source</a> · <a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class="inner">&#x2212;</span>]</a></span></div><details class="rustdoc-toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Chip implementations for the ECC gadgets.</p>
</div></details><h2 id="reexports" class="small-section-header"><a href="#reexports">Re-exports</a></h2>
<div class="item-table"><div class="item-row"><div class="item-left import-item"><code>pub use <a class="mod" href="constants/index.html" title="mod halo2_gadgets::ecc::chip::constants">constants</a>::*;</code></div><div class="item-right docblock-short"></div></div></div><h2 id="modules" class="small-section-header"><a href="#modules">Modules</a></h2>
<div class="item-table"><div class="item-row"><div class="item-left module-item"><a class="mod" href="constants/index.html" title="halo2_gadgets::ecc::chip::constants mod">constants</a></div><div class="item-right docblock-short"><p>Constants required for the ECC chip.</p>
@ -48,10 +48,12 @@ Each coordinate is assigned to a cell.</p>
scalar multiplication.</p>
</div></div><div class="item-row"><div class="item-left module-item"><a class="enum" href="enum.FullScalar.html" title="halo2_gadgets::ecc::chip::FullScalar enum">FullScalar</a></div><div class="item-right docblock-short"><p>Type marker representing a full-width scalar for use in fixed-base scalar
multiplication.</p>
</div></div><div class="item-row"><div class="item-left module-item"><a class="enum" href="enum.ScalarVar.html" title="halo2_gadgets::ecc::chip::ScalarVar enum">ScalarVar</a></div><div class="item-right docblock-short"><p>An enumeration of the possible types of scalars used in variable-base
multiplication.</p>
</div></div><div class="item-row"><div class="item-left module-item"><a class="enum" href="enum.ShortScalar.html" title="halo2_gadgets::ecc::chip::ShortScalar enum">ShortScalar</a></div><div class="item-right docblock-short"><p>Type marker representing a signed 64-bit scalar for use in fixed-base scalar
multiplication.</p>
</div></div></div><h2 id="traits" class="small-section-header"><a href="#traits">Traits</a></h2>
<div class="item-table"><div class="item-row"><div class="item-left module-item"><a class="trait" href="trait.FixedPoint.html" title="halo2_gadgets::ecc::chip::FixedPoint trait">FixedPoint</a></div><div class="item-right docblock-short"><p>Returns information about a fixed point that is required by <a href="struct.EccChip.html" title="EccChip"><code>EccChip</code></a>.</p>
</div></div><div class="item-row"><div class="item-left module-item"><a class="trait" href="trait.ScalarKind.html" title="halo2_gadgets::ecc::chip::ScalarKind trait">ScalarKind</a></div><div class="item-right docblock-short"><p>A trait representing the kind of scalar used with a particular <code>FixedPoint</code>.</p>
</div></div><div class="item-row"><div class="item-left module-item"><a class="trait" href="trait.FixedScalarKind.html" title="halo2_gadgets::ecc::chip::FixedScalarKind trait">FixedScalarKind</a></div><div class="item-right docblock-short"><p>A trait representing the kind of scalar used with a particular <code>FixedPoint</code>.</p>
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@ -1 +1 @@
initSidebarItems({"enum":[["BaseFieldElem","Type marker representing a base field element being used as a scalar in fixed-base scalar multiplication."],["FullScalar","Type marker representing a full-width scalar for use in fixed-base scalar multiplication."],["ShortScalar","Type marker representing a signed 64-bit scalar for use in fixed-base scalar multiplication."]],"mod":[["constants","Constants required for the ECC chip."]],"struct":[["EccChip","A chip implementing EccInstructions"],["EccConfig","Configuration for the ECC chip"],["EccPoint","A curve point represented in affine (x, y) coordinates, or the identity represented as (0, 0). Each coordinate is assigned to a cell."],["EccScalarFixed","A full-width scalar used for fixed-base scalar multiplication. This is decomposed into 85 3-bit windows in little-endian order, i.e. `windows` = [k_0, k_1, …, k_84] (for a 255-bit scalar) where `scalar = k_0 + k_1 * (2^3) + ... + k_84 * (2^3)^84` and each `k_i` is in the range [0..2^3)."],["EccScalarFixedShort","A signed short scalar used for fixed-base scalar multiplication. A short scalar must have magnitude in the range [0..2^64), with a sign of either 1 or -1. This is decomposed into 3-bit windows in little-endian order using a running sum `z`, where z_{i+1} = (z_i - a_i) / (2^3) for element α = a_0 + (2^3) a_1 + … + (2^{3(n-1)}) a_{n-1}. Each `a_i` is in the range [0..2^3)."],["NonIdentityEccPoint","A non-identity point represented in affine (x, y) coordinates. Each coordinate is assigned to a cell."]],"trait":[["FixedPoint","Returns information about a fixed point that is required by [`EccChip`]."],["ScalarKind","A trait representing the kind of scalar used with a particular `FixedPoint`."]]});
initSidebarItems({"enum":[["BaseFieldElem","Type marker representing a base field element being used as a scalar in fixed-base scalar multiplication."],["FullScalar","Type marker representing a full-width scalar for use in fixed-base scalar multiplication."],["ScalarVar","An enumeration of the possible types of scalars used in variable-base multiplication."],["ShortScalar","Type marker representing a signed 64-bit scalar for use in fixed-base scalar multiplication."]],"mod":[["constants","Constants required for the ECC chip."]],"struct":[["EccChip","A chip implementing EccInstructions"],["EccConfig","Configuration for the ECC chip"],["EccPoint","A curve point represented in affine (x, y) coordinates, or the identity represented as (0, 0). Each coordinate is assigned to a cell."],["EccScalarFixed","A full-width scalar used for fixed-base scalar multiplication. This is decomposed into 85 3-bit windows in little-endian order, i.e. `windows` = [k_0, k_1, …, k_84] (for a 255-bit scalar) where `scalar = k_0 + k_1 * (2^3) + ... + k_84 * (2^3)^84` and each `k_i` is in the range [0..2^3)."],["EccScalarFixedShort","A signed short scalar used for fixed-base scalar multiplication. A short scalar must have magnitude in the range [0..2^64), with a sign of either 1 or -1. This is decomposed into 3-bit windows in little-endian order using a running sum `z`, where z_{i+1} = (z_i - a_i) / (2^3) for element α = a_0 + (2^3) a_1 + … + (2^{3(n-1)}) a_{n-1}. Each `a_i` is in the range [0..2^3)."],["NonIdentityEccPoint","A non-identity point represented in affine (x, y) coordinates. Each coordinate is assigned to a cell."]],"trait":[["FixedPoint","Returns information about a fixed point that is required by [`EccChip`]."],["FixedScalarKind","A trait representing the kind of scalar used with a particular `FixedPoint`."]]});

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@ -18,12 +18,14 @@
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</a><h2 class="location"><a href="#">EccChip</a></h2><div class="sidebar-elems"><section><div class="block"><h3 class="sidebar-title"><a href="#implementations">Methods</a></h3><ul><li><a href="#method.configure">configure</a></li><li><a href="#method.construct">construct</a></li></ul></div><div class="block"><h3 class="sidebar-title"><a href="#trait-implementations">Trait Implementations</a></h3><ul><li><a href="#impl-Chip%3CFp%3E">Chip&lt;Fp&gt;</a></li><li><a href="#impl-Clone">Clone</a></li><li><a href="#impl-Debug">Debug</a></li><li><a href="#impl-EccInstructions%3CEpAffine%3E">EccInstructions&lt;EpAffine&gt;</a></li><li><a href="#impl-Eq">Eq</a></li><li><a href="#impl-PartialEq%3CEccChip%3CFixedPoints%3E%3E">PartialEq&lt;EccChip&lt;FixedPoints&gt;&gt;</a></li><li><a href="#impl-StructuralEq">StructuralEq</a></li><li><a href="#impl-StructuralPartialEq">StructuralPartialEq</a></li><li><a href="#impl-UtilitiesInstructions%3CFp%3E">UtilitiesInstructions&lt;Fp&gt;</a></li></ul></div><div class="block"><h3 class="sidebar-title"><a href="#synthetic-implementations">Auto Trait Implementations</a></h3><ul><li><a href="#impl-RefUnwindSafe">RefUnwindSafe</a></li><li><a href="#impl-Send">Send</a></li><li><a href="#impl-Sync">Sync</a></li><li><a href="#impl-Unpin">Unpin</a></li><li><a href="#impl-UnwindSafe">UnwindSafe</a></li></ul></div><div class="block"><h3 class="sidebar-title"><a href="#blanket-implementations">Blanket Implementations</a></h3><ul><li><a href="#impl-Any">Any</a></li><li><a href="#impl-Borrow%3CT%3E">Borrow&lt;T&gt;</a></li><li><a href="#impl-BorrowMut%3CT%3E">BorrowMut&lt;T&gt;</a></li><li><a href="#impl-Conv">Conv</a></li><li><a href="#impl-FmtForward">FmtForward</a></li><li><a href="#impl-From%3CT%3E">From&lt;T&gt;</a></li><li><a href="#impl-Into%3CU%3E">Into&lt;U&gt;</a></li><li><a href="#impl-Pipe">Pipe</a></li><li><a href="#impl-Pointable">Pointable</a></li><li><a href="#impl-Tap">Tap</a></li><li><a href="#impl-ToOwned">ToOwned</a></li><li><a href="#impl-TryConv">TryConv</a></li><li><a href="#impl-TryFrom%3CU%3E">TryFrom&lt;U&gt;</a></li><li><a href="#impl-TryInto%3CU%3E">TryInto&lt;U&gt;</a></li><li><a href="#impl-VZip%3CV%3E">VZip&lt;V&gt;</a></li></ul></div></section><h2 class="location"><a href="index.html">In halo2_gadgets::ecc::chip</a></h2><div id="sidebar-vars" data-name="EccChip" data-ty="struct" data-relpath=""></div><script defer src="sidebar-items.js"></script></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"><div class="theme-picker hidden"><button id="theme-picker" aria-label="Pick another theme!" aria-haspopup="menu" title="themes"><img width="22" height="22" alt="Pick another theme!" src="../../../brush.svg"></button><div id="theme-choices" role="menu"></div></div><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"><button type="button" id="help-button" title="help">?</button><a id="settings-menu" href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../wheel.svg"></a></div></form></nav></div><section id="main-content" class="content"><div class="main-heading">
</a><h2 class="location"><a href="#">EccChip</a></h2><div class="sidebar-elems"><section><div class="block"><h3 class="sidebar-title"><a href="#implementations">Methods</a></h3><ul><li><a href="#method.configure">configure</a></li><li><a href="#method.construct">construct</a></li></ul></div><div class="block"><h3 class="sidebar-title"><a href="#trait-implementations">Trait Implementations</a></h3><ul><li><a href="#impl-BaseFitsInScalarInstructions%3CEpAffine%3E">BaseFitsInScalarInstructions&lt;EpAffine&gt;</a></li><li><a href="#impl-Chip%3CFp%3E">Chip&lt;Fp&gt;</a></li><li><a href="#impl-Clone">Clone</a></li><li><a href="#impl-Debug">Debug</a></li><li><a href="#impl-EccInstructions%3CEpAffine%3E">EccInstructions&lt;EpAffine&gt;</a></li><li><a href="#impl-Eq">Eq</a></li><li><a href="#impl-PartialEq%3CEccChip%3CFixedPoints%3E%3E">PartialEq&lt;EccChip&lt;FixedPoints&gt;&gt;</a></li><li><a href="#impl-StructuralEq">StructuralEq</a></li><li><a href="#impl-StructuralPartialEq">StructuralPartialEq</a></li><li><a href="#impl-UtilitiesInstructions%3CFp%3E">UtilitiesInstructions&lt;Fp&gt;</a></li></ul></div><div class="block"><h3 class="sidebar-title"><a href="#synthetic-implementations">Auto Trait Implementations</a></h3><ul><li><a href="#impl-RefUnwindSafe">RefUnwindSafe</a></li><li><a href="#impl-Send">Send</a></li><li><a href="#impl-Sync">Sync</a></li><li><a href="#impl-Unpin">Unpin</a></li><li><a href="#impl-UnwindSafe">UnwindSafe</a></li></ul></div><div class="block"><h3 class="sidebar-title"><a href="#blanket-implementations">Blanket Implementations</a></h3><ul><li><a href="#impl-Any">Any</a></li><li><a href="#impl-Borrow%3CT%3E">Borrow&lt;T&gt;</a></li><li><a href="#impl-BorrowMut%3CT%3E">BorrowMut&lt;T&gt;</a></li><li><a href="#impl-Conv">Conv</a></li><li><a href="#impl-FmtForward">FmtForward</a></li><li><a href="#impl-From%3CT%3E">From&lt;T&gt;</a></li><li><a href="#impl-Into%3CU%3E">Into&lt;U&gt;</a></li><li><a href="#impl-Pipe">Pipe</a></li><li><a href="#impl-Pointable">Pointable</a></li><li><a href="#impl-Tap">Tap</a></li><li><a href="#impl-ToOwned">ToOwned</a></li><li><a href="#impl-TryConv">TryConv</a></li><li><a href="#impl-TryFrom%3CU%3E">TryFrom&lt;U&gt;</a></li><li><a href="#impl-TryInto%3CU%3E">TryInto&lt;U&gt;</a></li><li><a href="#impl-VZip%3CV%3E">VZip&lt;V&gt;</a></li></ul></div></section><h2 class="location"><a href="index.html">In halo2_gadgets::ecc::chip</a></h2><div id="sidebar-vars" data-name="EccChip" data-ty="struct" data-relpath=""></div><script defer src="sidebar-items.js"></script></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"><div class="theme-picker hidden"><button id="theme-picker" aria-label="Pick another theme!" aria-haspopup="menu" title="themes"><img width="22" height="22" alt="Pick another theme!" src="../../../brush.svg"></button><div id="theme-choices" role="menu"></div></div><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"><button type="button" id="help-button" title="help">?</button><a id="settings-menu" href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../wheel.svg"></a></div></form></nav></div><section id="main-content" class="content"><div class="main-heading">
<h1 class="fqn"><span class="in-band">Struct <a href="../../index.html">halo2_gadgets</a>::<wbr><a href="../index.html">ecc</a>::<wbr><a href="index.html">chip</a>::<wbr><a class="struct" href="#">EccChip</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/chip.rs.html#226-228">source</a> · <a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class="inner">&#x2212;</span>]</a></span></div><div class="docblock item-decl"><pre class="rust struct"><code>pub struct EccChip&lt;FixedPoints:&nbsp;<a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt; { /* private fields */ }</code></pre></div><details class="rustdoc-toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>A chip implementing EccInstructions</p>
</div></details><h2 id="implementations" class="small-section-header">Implementations<a href="#implementations" class="anchor"></a></h2><div id="implementations-list"><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#249-321">source</a></span><a href="#impl" class="anchor"></a><h3 class="code-header in-band">impl&lt;FixedPoints:&nbsp;<a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt; <a class="struct" href="struct.EccChip.html" title="struct halo2_gadgets::ecc::chip::EccChip">EccChip</a>&lt;FixedPoints&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.construct" class="method has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#251-253">source</a></span><a href="#method.construct" class="anchor"></a><h4 class="code-header">pub fn <a href="#method.construct" class="fnname">construct</a>(config: &lt;Self as <a class="trait" href="../../../halo2_proofs/circuit/trait.Chip.html" title="trait halo2_proofs::circuit::Chip">Chip</a>&lt;Base&gt;&gt;::<a class="associatedtype" href="../../../halo2_proofs/circuit/trait.Chip.html#associatedtype.Config" title="type halo2_proofs::circuit::Chip::Config">Config</a>) -&gt; Self</h4></section></summary><div class="docblock"><p>Reconstructs this chip from the given config.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.configure" class="method has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#259-320">source</a></span><a href="#method.configure" class="anchor"></a><h4 class="code-header">pub fn <a href="#method.configure" class="fnname">configure</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;meta: &amp;mut <a class="struct" href="../../../halo2_proofs/plonk/circuit/struct.ConstraintSystem.html" title="struct halo2_proofs::plonk::circuit::ConstraintSystem">ConstraintSystem</a>&lt;Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;advices: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">[</a><a class="struct" href="../../../halo2_proofs/plonk/circuit/struct.Column.html" title="struct halo2_proofs::plonk::circuit::Column">Column</a>&lt;<a class="struct" href="../../../halo2_proofs/plonk/circuit/struct.Advice.html" title="struct halo2_proofs::plonk::circuit::Advice">Advice</a>&gt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">; 10]</a>, <br>&nbsp;&nbsp;&nbsp;&nbsp;lagrange_coeffs: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">[</a><a class="struct" href="../../../halo2_proofs/plonk/circuit/struct.Column.html" title="struct halo2_proofs::plonk::circuit::Column">Column</a>&lt;<a class="struct" href="../../../halo2_proofs/plonk/circuit/struct.Fixed.html" title="struct halo2_proofs::plonk::circuit::Fixed">Fixed</a>&gt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">; 8]</a>, <br>&nbsp;&nbsp;&nbsp;&nbsp;range_check: <a class="struct" href="../../utilities/lookup_range_check/struct.LookupRangeCheckConfig.html" title="struct halo2_gadgets::utilities::lookup_range_check::LookupRangeCheckConfig">LookupRangeCheckConfig</a>&lt;Base, { sinsemilla::K }&gt;<br>) -&gt; &lt;Self as <a class="trait" href="../../../halo2_proofs/circuit/trait.Chip.html" title="trait halo2_proofs::circuit::Chip">Chip</a>&lt;Base&gt;&gt;::<a class="associatedtype" href="../../../halo2_proofs/circuit/trait.Chip.html#associatedtype.Config" title="type halo2_proofs::circuit::Chip::Config">Config</a></h4></section></summary><div class="docblock"><h5 id="side-effects"><a href="#side-effects">Side effects</a></h5>
<p>All columns in <code>advices</code> will be equality-enabled.</p>
</div></details></div></details></div><h2 id="trait-implementations" class="small-section-header">Trait Implementations<a href="#trait-implementations" class="anchor"></a></h2><div id="trait-implementations-list"><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Chip%3CFp%3E" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#230-241">source</a></span><a href="#impl-Chip%3CFp%3E" class="anchor"></a><h3 class="code-header in-band">impl&lt;FixedPoints:&nbsp;<a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt; <a class="trait" href="../../../halo2_proofs/circuit/trait.Chip.html" title="trait halo2_proofs::circuit::Chip">Chip</a>&lt;Fp&gt; for <a class="struct" href="struct.EccChip.html" title="struct halo2_gadgets::ecc::chip::EccChip">EccChip</a>&lt;FixedPoints&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Config" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Config" class="anchor"></a><h4 class="code-header">type <a href="../../../halo2_proofs/circuit/trait.Chip.html#associatedtype.Config" class="associatedtype">Config</a> = <a class="struct" href="struct.EccConfig.html" title="struct halo2_gadgets::ecc::chip::EccConfig">EccConfig</a>&lt;FixedPoints&gt;</h4></section></summary><div class='docblock'><p>A type that holds the configuration for this chip, and any other state it may need
</div></details></div></details></div><h2 id="trait-implementations" class="small-section-header">Trait Implementations<a href="#trait-implementations" class="anchor"></a></h2><div id="trait-implementations-list"><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-BaseFitsInScalarInstructions%3CEpAffine%3E" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#562-579">source</a></span><a href="#impl-BaseFitsInScalarInstructions%3CEpAffine%3E" class="anchor"></a><h3 class="code-header in-band">impl&lt;Fixed:&nbsp;<a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt; <a class="trait" href="../trait.BaseFitsInScalarInstructions.html" title="trait halo2_gadgets::ecc::BaseFitsInScalarInstructions">BaseFitsInScalarInstructions</a>&lt;EpAffine&gt; for <a class="struct" href="struct.EccChip.html" title="struct halo2_gadgets::ecc::chip::EccChip">EccChip</a>&lt;Fixed&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;&lt;Fixed as <a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt;::<a class="associatedtype" href="../trait.FixedPoints.html#associatedtype.Base" title="type halo2_gadgets::ecc::FixedPoints::Base">Base</a>: <a class="trait" href="trait.FixedPoint.html" title="trait halo2_gadgets::ecc::chip::FixedPoint">FixedPoint</a>&lt;Affine, FixedScalarKind = <a class="enum" href="enum.BaseFieldElem.html" title="enum halo2_gadgets::ecc::chip::BaseFieldElem">BaseFieldElem</a>&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;&lt;Fixed as <a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt;::<a class="associatedtype" href="../trait.FixedPoints.html#associatedtype.FullScalar" title="type halo2_gadgets::ecc::FixedPoints::FullScalar">FullScalar</a>: <a class="trait" href="trait.FixedPoint.html" title="trait halo2_gadgets::ecc::chip::FixedPoint">FixedPoint</a>&lt;Affine, FixedScalarKind = <a class="enum" href="enum.FullScalar.html" title="enum halo2_gadgets::ecc::chip::FullScalar">FullScalar</a>&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;&lt;Fixed as <a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt;::<a class="associatedtype" href="../trait.FixedPoints.html#associatedtype.ShortScalar" title="type halo2_gadgets::ecc::FixedPoints::ShortScalar">ShortScalar</a>: <a class="trait" href="trait.FixedPoint.html" title="trait halo2_gadgets::ecc::chip::FixedPoint">FixedPoint</a>&lt;Affine, FixedScalarKind = <a class="enum" href="enum.ShortScalar.html" title="enum halo2_gadgets::ecc::chip::ShortScalar">ShortScalar</a>&gt;,&nbsp;</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.scalar_var_from_base" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#572-578">source</a></span><a href="#method.scalar_var_from_base" class="anchor"></a><h4 class="code-header">fn <a href="../trait.BaseFitsInScalarInstructions.html#tymethod.scalar_var_from_base" class="fnname">scalar_var_from_base</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;_layouter: &amp;mut impl <a class="trait" href="../../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a>&lt;Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;base: &amp;Self::<a class="associatedtype" href="../../utilities/trait.UtilitiesInstructions.html#associatedtype.Var" title="type halo2_gadgets::utilities::UtilitiesInstructions::Var">Var</a><br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.ScalarVar" title="type halo2_gadgets::ecc::EccInstructions::ScalarVar">ScalarVar</a>, <a class="enum" href="../../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;</h4></section></summary><div class='docblock'><p>Converts a base field element that exists as a variable in the circuit
into a scalar to be used in variable-base scalar multiplication. <a href="../trait.BaseFitsInScalarInstructions.html#tymethod.scalar_var_from_base">Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Chip%3CFp%3E" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#230-241">source</a></span><a href="#impl-Chip%3CFp%3E" class="anchor"></a><h3 class="code-header in-band">impl&lt;FixedPoints:&nbsp;<a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt; <a class="trait" href="../../../halo2_proofs/circuit/trait.Chip.html" title="trait halo2_proofs::circuit::Chip">Chip</a>&lt;Fp&gt; for <a class="struct" href="struct.EccChip.html" title="struct halo2_gadgets::ecc::chip::EccChip">EccChip</a>&lt;FixedPoints&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.Config" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Config" class="anchor"></a><h4 class="code-header">type <a href="../../../halo2_proofs/circuit/trait.Chip.html#associatedtype.Config" class="associatedtype">Config</a> = <a class="struct" href="struct.EccConfig.html" title="struct halo2_gadgets::ecc::chip::EccConfig">EccConfig</a>&lt;FixedPoints&gt;</h4></section></summary><div class='docblock'><p>A type that holds the configuration for this chip, and any other state it may need
during circuit synthesis, that can be derived during <a href="../../../halo2_proofs/plonk/circuit/trait.Circuit.html#tymethod.configure"><code>Circuit::configure</code></a>. <a href="../../../halo2_proofs/circuit/trait.Chip.html#associatedtype.Config">Read more</a></p>
</div></details><details class="rustdoc-toggle" open><summary><section id="associatedtype.Loaded" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Loaded" class="anchor"></a><h4 class="code-header">type <a href="../../../halo2_proofs/circuit/trait.Chip.html#associatedtype.Loaded" class="associatedtype">Loaded</a> = <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.unit.html">()</a></h4></section></summary><div class='docblock'><p>A type that holds any general chip state that needs to be loaded at the start of
<a href="../../../halo2_proofs/plonk/circuit/trait.Circuit.html#tymethod.synthesize"><code>Circuit::synthesize</code></a>. This might simply be <code>()</code> for some chips. <a href="../../../halo2_proofs/circuit/trait.Chip.html#associatedtype.Loaded">Read more</a></p>
@ -33,12 +35,11 @@ synthesis. <a href="../../../halo2_proofs/circuit/trait.Chip.html#tymethod.loade
</div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Clone" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#225">source</a></span><a href="#impl-Clone" class="anchor"></a><h3 class="code-header in-band">impl&lt;FixedPoints:&nbsp;<a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> + <a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="struct.EccChip.html" title="struct halo2_gadgets::ecc::chip::EccChip">EccChip</a>&lt;FixedPoints&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#225">source</a></span><a href="#method.clone" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fnname">clone</a>(&amp;self) -&gt; <a class="struct" href="struct.EccChip.html" title="struct halo2_gadgets::ecc::chip::EccChip">EccChip</a>&lt;FixedPoints&gt;</h4></section></summary><div class='docblock'><p>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl has-srclink"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="srclink" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#133-135">source</a></span><a href="#method.clone_from" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fnname">clone_from</a>(&amp;mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self)</h4></section></summary><div class='docblock'><p>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-Debug" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#225">source</a></span><a href="#impl-Debug" class="anchor"></a><h3 class="code-header in-band">impl&lt;FixedPoints:&nbsp;<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="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.EccChip.html" title="struct halo2_gadgets::ecc::chip::EccChip">EccChip</a>&lt;FixedPoints&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#225">source</a></span><a href="#method.fmt" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fnname">fmt</a>(&amp;self, f: &amp;mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a>&lt;'_&gt;) -&gt; <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'><p>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-EccInstructions%3CEpAffine%3E" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#380-526">source</a></span><a href="#impl-EccInstructions%3CEpAffine%3E" class="anchor"></a><h3 class="code-header in-band">impl&lt;Fixed:&nbsp;<a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt; <a class="trait" href="../trait.EccInstructions.html" title="trait halo2_gadgets::ecc::EccInstructions">EccInstructions</a>&lt;EpAffine&gt; for <a class="struct" href="struct.EccChip.html" title="struct halo2_gadgets::ecc::chip::EccChip">EccChip</a>&lt;Fixed&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;&lt;Fixed as <a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt;::<a class="associatedtype" href="../trait.FixedPoints.html#associatedtype.Base" title="type halo2_gadgets::ecc::FixedPoints::Base">Base</a>: <a class="trait" href="trait.FixedPoint.html" title="trait halo2_gadgets::ecc::chip::FixedPoint">FixedPoint</a>&lt;Affine, ScalarKind = <a class="enum" href="enum.BaseFieldElem.html" title="enum halo2_gadgets::ecc::chip::BaseFieldElem">BaseFieldElem</a>&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;&lt;Fixed as <a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt;::<a class="associatedtype" href="../trait.FixedPoints.html#associatedtype.FullScalar" title="type halo2_gadgets::ecc::FixedPoints::FullScalar">FullScalar</a>: <a class="trait" href="trait.FixedPoint.html" title="trait halo2_gadgets::ecc::chip::FixedPoint">FixedPoint</a>&lt;Affine, ScalarKind = <a class="enum" href="enum.FullScalar.html" title="enum halo2_gadgets::ecc::chip::FullScalar">FullScalar</a>&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;&lt;Fixed as <a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt;::<a class="associatedtype" href="../trait.FixedPoints.html#associatedtype.ShortScalar" title="type halo2_gadgets::ecc::FixedPoints::ShortScalar">ShortScalar</a>: <a class="trait" href="trait.FixedPoint.html" title="trait halo2_gadgets::ecc::chip::FixedPoint">FixedPoint</a>&lt;Affine, ScalarKind = <a class="enum" href="enum.ShortScalar.html" title="enum halo2_gadgets::ecc::chip::ShortScalar">ShortScalar</a>&gt;,&nbsp;</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.ScalarFixed" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.ScalarFixed" class="anchor"></a><h4 class="code-header">type <a href="../trait.EccInstructions.html#associatedtype.ScalarFixed" class="associatedtype">ScalarFixed</a> = <a class="struct" href="struct.EccScalarFixed.html" title="struct halo2_gadgets::ecc::chip::EccScalarFixed">EccScalarFixed</a></h4></section></summary><div class='docblock'><p>Variable representing a full-width element of the elliptic curves
</div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-EccInstructions%3CEpAffine%3E" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#400-560">source</a></span><a href="#impl-EccInstructions%3CEpAffine%3E" class="anchor"></a><h3 class="code-header in-band">impl&lt;Fixed:&nbsp;<a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt; <a class="trait" href="../trait.EccInstructions.html" title="trait halo2_gadgets::ecc::EccInstructions">EccInstructions</a>&lt;EpAffine&gt; for <a class="struct" href="struct.EccChip.html" title="struct halo2_gadgets::ecc::chip::EccChip">EccChip</a>&lt;Fixed&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;&lt;Fixed as <a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt;::<a class="associatedtype" href="../trait.FixedPoints.html#associatedtype.Base" title="type halo2_gadgets::ecc::FixedPoints::Base">Base</a>: <a class="trait" href="trait.FixedPoint.html" title="trait halo2_gadgets::ecc::chip::FixedPoint">FixedPoint</a>&lt;Affine, FixedScalarKind = <a class="enum" href="enum.BaseFieldElem.html" title="enum halo2_gadgets::ecc::chip::BaseFieldElem">BaseFieldElem</a>&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;&lt;Fixed as <a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt;::<a class="associatedtype" href="../trait.FixedPoints.html#associatedtype.FullScalar" title="type halo2_gadgets::ecc::FixedPoints::FullScalar">FullScalar</a>: <a class="trait" href="trait.FixedPoint.html" title="trait halo2_gadgets::ecc::chip::FixedPoint">FixedPoint</a>&lt;Affine, FixedScalarKind = <a class="enum" href="enum.FullScalar.html" title="enum halo2_gadgets::ecc::chip::FullScalar">FullScalar</a>&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;&lt;Fixed as <a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt;::<a class="associatedtype" href="../trait.FixedPoints.html#associatedtype.ShortScalar" title="type halo2_gadgets::ecc::FixedPoints::ShortScalar">ShortScalar</a>: <a class="trait" href="trait.FixedPoint.html" title="trait halo2_gadgets::ecc::chip::FixedPoint">FixedPoint</a>&lt;Affine, FixedScalarKind = <a class="enum" href="enum.ShortScalar.html" title="enum halo2_gadgets::ecc::chip::ShortScalar">ShortScalar</a>&gt;,&nbsp;</span></h3></section></summary><div class="impl-items"><details class="rustdoc-toggle" open><summary><section id="associatedtype.ScalarFixed" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.ScalarFixed" class="anchor"></a><h4 class="code-header">type <a href="../trait.EccInstructions.html#associatedtype.ScalarFixed" class="associatedtype">ScalarFixed</a> = <a class="struct" href="struct.EccScalarFixed.html" title="struct halo2_gadgets::ecc::chip::EccScalarFixed">EccScalarFixed</a></h4></section></summary><div class='docblock'><p>Variable representing a full-width element of the elliptic curves
scalar field, to be used for fixed-base scalar mul. <a href="../trait.EccInstructions.html#associatedtype.ScalarFixed">Read more</a></p>
</div></details><details class="rustdoc-toggle" open><summary><section id="associatedtype.ScalarFixedShort" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.ScalarFixedShort" class="anchor"></a><h4 class="code-header">type <a href="../trait.EccInstructions.html#associatedtype.ScalarFixedShort" class="associatedtype">ScalarFixedShort</a> = <a class="struct" href="struct.EccScalarFixedShort.html" title="struct halo2_gadgets::ecc::chip::EccScalarFixedShort">EccScalarFixedShort</a></h4></section></summary><div class='docblock'><p>Variable representing a signed short element of the elliptic curves
scalar field, to be used for fixed-base scalar mul. <a href="../trait.EccInstructions.html#associatedtype.ScalarFixedShort">Read more</a></p>
</div></details><details class="rustdoc-toggle" open><summary><section id="associatedtype.ScalarVar" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.ScalarVar" class="anchor"></a><h4 class="code-header">type <a href="../trait.EccInstructions.html#associatedtype.ScalarVar" class="associatedtype">ScalarVar</a> = <a class="struct" href="../../../halo2_proofs/circuit/struct.AssignedCell.html" title="struct halo2_proofs::circuit::AssignedCell">AssignedCell</a>&lt;Fp, Fp&gt;</h4></section></summary><div class='docblock'><p>Variable representing an element of the elliptic curves base field, that
is used as a scalar in variable-base scalar mul. <a href="../trait.EccInstructions.html#associatedtype.ScalarVar">Read more</a></p>
</div></details><details class="rustdoc-toggle" open><summary><section id="associatedtype.ScalarVar" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.ScalarVar" class="anchor"></a><h4 class="code-header">type <a href="../trait.EccInstructions.html#associatedtype.ScalarVar" class="associatedtype">ScalarVar</a> = <a class="enum" href="enum.ScalarVar.html" title="enum halo2_gadgets::ecc::chip::ScalarVar">ScalarVar</a></h4></section></summary><div class='docblock'><p>Variable representing a scalar used in variable-base scalar mul. <a href="../trait.EccInstructions.html#associatedtype.ScalarVar">Read more</a></p>
</div></details><details class="rustdoc-toggle" open><summary><section id="associatedtype.Point" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.Point" class="anchor"></a><h4 class="code-header">type <a href="../trait.EccInstructions.html#associatedtype.Point" class="associatedtype">Point</a> = <a class="struct" href="struct.EccPoint.html" title="struct halo2_gadgets::ecc::chip::EccPoint">EccPoint</a></h4></section></summary><div class='docblock'><p>Variable representing an elliptic curve point.</p>
</div></details><details class="rustdoc-toggle" open><summary><section id="associatedtype.NonIdentityPoint" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.NonIdentityPoint" class="anchor"></a><h4 class="code-header">type <a href="../trait.EccInstructions.html#associatedtype.NonIdentityPoint" class="associatedtype">NonIdentityPoint</a> = <a class="struct" href="struct.NonIdentityEccPoint.html" title="struct halo2_gadgets::ecc::chip::NonIdentityEccPoint">NonIdentityEccPoint</a></h4></section></summary><div class='docblock'><p>Variable representing a non-identity elliptic curve point.</p>
</div></details><details class="rustdoc-toggle" open><summary><section id="associatedtype.X" class="associatedtype trait-impl has-srclink"><a href="#associatedtype.X" class="anchor"></a><h4 class="code-header">type <a href="../trait.EccInstructions.html#associatedtype.X" class="associatedtype">X</a> = <a class="struct" href="../../../halo2_proofs/circuit/struct.AssignedCell.html" title="struct halo2_proofs::circuit::AssignedCell">AssignedCell</a>&lt;Fp, Fp&gt;</h4></section></summary><div class='docblock'><p>Variable representing the affine short Weierstrass x-coordinate of an
@ -47,20 +48,21 @@ elliptic curve point. <a href="../trait.EccInstructions.html#associatedtype.X">R
TODO: When associated consts can be used as const generics, introduce
<code>Self::NUM_WINDOWS</code>, <code>Self::NUM_WINDOWS_BASE_FIELD</code>, <code>Self::NUM_WINDOWS_SHORT</code>
and use them to differentiate <code>FixedPoints</code> types. <a href="../trait.EccInstructions.html#associatedtype.FixedPoints">Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.constrain_equal" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#397-412">source</a></span><a href="#method.constrain_equal" class="anchor"></a><h4 class="code-header">fn <a href="../trait.EccInstructions.html#tymethod.constrain_equal" class="fnname">constrain_equal</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;layouter: &amp;mut impl <a class="trait" href="../../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a>&lt;Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;a: &amp;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, <br>&nbsp;&nbsp;&nbsp;&nbsp;b: &amp;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a><br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.unit.html">()</a>, <a class="enum" href="../../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;</h4></section></summary><div class='docblock'><p>Constrains point <code>a</code> to be equal in value to point <code>b</code>.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.witness_point" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#414-424">source</a></span><a href="#method.witness_point" class="anchor"></a><h4 class="code-header">fn <a href="../trait.EccInstructions.html#tymethod.witness_point" class="fnname">witness_point</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;layouter: &amp;mut impl <a class="trait" href="../../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a>&lt;Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;value: <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a>&lt;Affine&gt;<br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, <a class="enum" href="../../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;</h4></section></summary><div class='docblock'><p>Witnesses the given point as a private input to the circuit.
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.constrain_equal" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#417-432">source</a></span><a href="#method.constrain_equal" class="anchor"></a><h4 class="code-header">fn <a href="../trait.EccInstructions.html#tymethod.constrain_equal" class="fnname">constrain_equal</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;layouter: &amp;mut impl <a class="trait" href="../../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a>&lt;Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;a: &amp;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, <br>&nbsp;&nbsp;&nbsp;&nbsp;b: &amp;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a><br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.unit.html">()</a>, <a class="enum" href="../../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;</h4></section></summary><div class='docblock'><p>Constrains point <code>a</code> to be equal in value to point <code>b</code>.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.witness_point" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#434-444">source</a></span><a href="#method.witness_point" class="anchor"></a><h4 class="code-header">fn <a href="../trait.EccInstructions.html#tymethod.witness_point" class="fnname">witness_point</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;layouter: &amp;mut impl <a class="trait" href="../../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a>&lt;Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;value: <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a>&lt;Affine&gt;<br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, <a class="enum" href="../../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;</h4></section></summary><div class='docblock'><p>Witnesses the given point as a private input to the circuit.
This allows the point to be the identity, mapped to (0, 0) in
affine coordinates. <a href="../trait.EccInstructions.html#tymethod.witness_point">Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.witness_point_non_id" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#426-436">source</a></span><a href="#method.witness_point_non_id" class="anchor"></a><h4 class="code-header">fn <a href="../trait.EccInstructions.html#tymethod.witness_point_non_id" class="fnname">witness_point_non_id</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;layouter: &amp;mut impl <a class="trait" href="../../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a>&lt;Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;value: <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a>&lt;Affine&gt;<br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>, <a class="enum" href="../../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;</h4></section></summary><div class='docblock'><p>Witnesses the given point as a private input to the circuit.
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.witness_point_non_id" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#446-456">source</a></span><a href="#method.witness_point_non_id" class="anchor"></a><h4 class="code-header">fn <a href="../trait.EccInstructions.html#tymethod.witness_point_non_id" class="fnname">witness_point_non_id</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;layouter: &amp;mut impl <a class="trait" href="../../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a>&lt;Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;value: <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a>&lt;Affine&gt;<br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>, <a class="enum" href="../../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;</h4></section></summary><div class='docblock'><p>Witnesses the given point as a private input to the circuit.
This returns an error if the point is the identity. <a href="../trait.EccInstructions.html#tymethod.witness_point_non_id">Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.extract_p" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#438-441">source</a></span><a href="#method.extract_p" class="anchor"></a><h4 class="code-header">fn <a href="../trait.EccInstructions.html#tymethod.extract_p" class="fnname">extract_p</a>&lt;Point:&nbsp;<a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a>&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>&gt; + <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>&gt;(point: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Point) -&gt; Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.X" title="type halo2_gadgets::ecc::EccInstructions::X">X</a></h4></section></summary><div class='docblock'><p>Extracts the x-coordinate of a point.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.add_incomplete" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#443-454">source</a></span><a href="#method.add_incomplete" class="anchor"></a><h4 class="code-header">fn <a href="../trait.EccInstructions.html#tymethod.add_incomplete" class="fnname">add_incomplete</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;layouter: &amp;mut impl <a class="trait" href="../../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a>&lt;Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;a: &amp;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>, <br>&nbsp;&nbsp;&nbsp;&nbsp;b: &amp;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a><br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>, <a class="enum" href="../../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;</h4></section></summary><div class='docblock'><p>Performs incomplete point addition, returning <code>a + b</code>. <a href="../trait.EccInstructions.html#tymethod.add_incomplete">Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.add" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#456-469">source</a></span><a href="#method.add" class="anchor"></a><h4 class="code-header">fn <a href="../trait.EccInstructions.html#tymethod.add" class="fnname">add</a>&lt;A:&nbsp;<a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a>&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>&gt; + <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>, B:&nbsp;<a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a>&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>&gt; + <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>&gt;(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;layouter: &amp;mut impl <a class="trait" href="../../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a>&lt;Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>A, <br>&nbsp;&nbsp;&nbsp;&nbsp;b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>B<br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, <a class="enum" href="../../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;</h4></section></summary><div class='docblock'><p>Performs complete point addition, returning <code>a + b</code>.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.mul" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#471-483">source</a></span><a href="#method.mul" class="anchor"></a><h4 class="code-header">fn <a href="../trait.EccInstructions.html#tymethod.mul" class="fnname">mul</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;layouter: &amp;mut impl <a class="trait" href="../../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a>&lt;Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;scalar: &amp;Self::<a class="associatedtype" href="../../utilities/trait.UtilitiesInstructions.html#associatedtype.Var" title="type halo2_gadgets::utilities::UtilitiesInstructions::Var">Var</a>, <br>&nbsp;&nbsp;&nbsp;&nbsp;base: &amp;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a><br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a>Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.ScalarVar" title="type halo2_gadgets::ecc::EccInstructions::ScalarVar">ScalarVar</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a>, <a class="enum" href="../../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;</h4></section></summary><div class='docblock'><p>Performs variable-base scalar multiplication, returning <code>[scalar] base</code>.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.mul_fixed" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#485-497">source</a></span><a href="#method.mul_fixed" class="anchor"></a><h4 class="code-header">fn <a href="../trait.EccInstructions.html#tymethod.mul_fixed" class="fnname">mul_fixed</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;layouter: &amp;mut impl <a class="trait" href="../../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a>&lt;Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;scalar: <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a>&lt;Scalar&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;base: &amp;&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.FixedPoints" title="type halo2_gadgets::ecc::EccInstructions::FixedPoints">FixedPoints</a> as <a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt;::<a class="associatedtype" href="../trait.FixedPoints.html#associatedtype.FullScalar" title="type halo2_gadgets::ecc::FixedPoints::FullScalar">FullScalar</a><br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a>Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.ScalarFixed" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixed">ScalarFixed</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a>, <a class="enum" href="../../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;</h4></section></summary><div class='docblock'><p>Performs fixed-base scalar multiplication using a full-width scalar, returning <code>[scalar] base</code>.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.mul_fixed_short" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#499-511">source</a></span><a href="#method.mul_fixed_short" class="anchor"></a><h4 class="code-header">fn <a href="../trait.EccInstructions.html#tymethod.mul_fixed_short" class="fnname">mul_fixed_short</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;layouter: &amp;mut impl <a class="trait" href="../../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a>&lt;Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;magnitude_sign: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a><a class="struct" href="../../../halo2_proofs/circuit/struct.AssignedCell.html" title="struct halo2_proofs::circuit::AssignedCell">AssignedCell</a>&lt;Base, Base&gt;, <a class="struct" href="../../../halo2_proofs/circuit/struct.AssignedCell.html" title="struct halo2_proofs::circuit::AssignedCell">AssignedCell</a>&lt;Base, Base&gt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a>, <br>&nbsp;&nbsp;&nbsp;&nbsp;base: &amp;&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.FixedPoints" title="type halo2_gadgets::ecc::EccInstructions::FixedPoints">FixedPoints</a> as <a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt;::<a class="associatedtype" href="../trait.FixedPoints.html#associatedtype.ShortScalar" title="type halo2_gadgets::ecc::FixedPoints::ShortScalar">ShortScalar</a><br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a>Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.ScalarFixedShort" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixedShort">ScalarFixedShort</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a>, <a class="enum" href="../../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;</h4></section></summary><div class='docblock'><p>Performs fixed-base scalar multiplication using a short signed scalar, returning
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.witness_scalar_var" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#458-465">source</a></span><a href="#method.witness_scalar_var" class="anchor"></a><h4 class="code-header">fn <a href="../trait.EccInstructions.html#tymethod.witness_scalar_var" class="fnname">witness_scalar_var</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;_layouter: &amp;mut impl <a class="trait" href="../../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a>&lt;Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;_value: <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a>&lt;Scalar&gt;<br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.ScalarVar" title="type halo2_gadgets::ecc::EccInstructions::ScalarVar">ScalarVar</a>, <a class="enum" href="../../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;</h4></section></summary><div class='docblock'><p>Witnesses a full-width scalar to be used in variable-base multiplication.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.extract_p" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#467-470">source</a></span><a href="#method.extract_p" class="anchor"></a><h4 class="code-header">fn <a href="../trait.EccInstructions.html#tymethod.extract_p" class="fnname">extract_p</a>&lt;Point:&nbsp;<a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a>&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>&gt; + <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>&gt;(point: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Point) -&gt; Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.X" title="type halo2_gadgets::ecc::EccInstructions::X">X</a></h4></section></summary><div class='docblock'><p>Extracts the x-coordinate of a point.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.add_incomplete" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#472-483">source</a></span><a href="#method.add_incomplete" class="anchor"></a><h4 class="code-header">fn <a href="../trait.EccInstructions.html#tymethod.add_incomplete" class="fnname">add_incomplete</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;layouter: &amp;mut impl <a class="trait" href="../../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a>&lt;Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;a: &amp;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>, <br>&nbsp;&nbsp;&nbsp;&nbsp;b: &amp;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a><br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>, <a class="enum" href="../../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;</h4></section></summary><div class='docblock'><p>Performs incomplete point addition, returning <code>a + b</code>. <a href="../trait.EccInstructions.html#tymethod.add_incomplete">Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.add" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#485-498">source</a></span><a href="#method.add" class="anchor"></a><h4 class="code-header">fn <a href="../trait.EccInstructions.html#tymethod.add" class="fnname">add</a>&lt;A:&nbsp;<a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a>&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>&gt; + <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>, B:&nbsp;<a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a>&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>&gt; + <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>&gt;(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;layouter: &amp;mut impl <a class="trait" href="../../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a>&lt;Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>A, <br>&nbsp;&nbsp;&nbsp;&nbsp;b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>B<br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, <a class="enum" href="../../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;</h4></section></summary><div class='docblock'><p>Performs complete point addition, returning <code>a + b</code>.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.mul" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#500-517">source</a></span><a href="#method.mul" class="anchor"></a><h4 class="code-header">fn <a href="../trait.EccInstructions.html#tymethod.mul" class="fnname">mul</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;layouter: &amp;mut impl <a class="trait" href="../../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a>&lt;Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;scalar: &amp;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.ScalarVar" title="type halo2_gadgets::ecc::EccInstructions::ScalarVar">ScalarVar</a>, <br>&nbsp;&nbsp;&nbsp;&nbsp;base: &amp;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a><br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a>Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.ScalarVar" title="type halo2_gadgets::ecc::EccInstructions::ScalarVar">ScalarVar</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a>, <a class="enum" href="../../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;</h4></section></summary><div class='docblock'><p>Performs variable-base scalar multiplication, returning <code>[scalar] base</code>.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.mul_fixed" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#519-531">source</a></span><a href="#method.mul_fixed" class="anchor"></a><h4 class="code-header">fn <a href="../trait.EccInstructions.html#tymethod.mul_fixed" class="fnname">mul_fixed</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;layouter: &amp;mut impl <a class="trait" href="../../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a>&lt;Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;scalar: <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a>&lt;Scalar&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;base: &amp;&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.FixedPoints" title="type halo2_gadgets::ecc::EccInstructions::FixedPoints">FixedPoints</a> as <a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt;::<a class="associatedtype" href="../trait.FixedPoints.html#associatedtype.FullScalar" title="type halo2_gadgets::ecc::FixedPoints::FullScalar">FullScalar</a><br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a>Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.ScalarFixed" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixed">ScalarFixed</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a>, <a class="enum" href="../../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;</h4></section></summary><div class='docblock'><p>Performs fixed-base scalar multiplication using a full-width scalar, returning <code>[scalar] base</code>.</p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.mul_fixed_short" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#533-545">source</a></span><a href="#method.mul_fixed_short" class="anchor"></a><h4 class="code-header">fn <a href="../trait.EccInstructions.html#tymethod.mul_fixed_short" class="fnname">mul_fixed_short</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;layouter: &amp;mut impl <a class="trait" href="../../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a>&lt;Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;magnitude_sign: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a><a class="struct" href="../../../halo2_proofs/circuit/struct.AssignedCell.html" title="struct halo2_proofs::circuit::AssignedCell">AssignedCell</a>&lt;Base, Base&gt;, <a class="struct" href="../../../halo2_proofs/circuit/struct.AssignedCell.html" title="struct halo2_proofs::circuit::AssignedCell">AssignedCell</a>&lt;Base, Base&gt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a>, <br>&nbsp;&nbsp;&nbsp;&nbsp;base: &amp;&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.FixedPoints" title="type halo2_gadgets::ecc::EccInstructions::FixedPoints">FixedPoints</a> as <a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt;::<a class="associatedtype" href="../trait.FixedPoints.html#associatedtype.ShortScalar" title="type halo2_gadgets::ecc::FixedPoints::ShortScalar">ShortScalar</a><br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a>Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.ScalarFixedShort" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixedShort">ScalarFixedShort</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a>, <a class="enum" href="../../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;</h4></section></summary><div class='docblock'><p>Performs fixed-base scalar multiplication using a short signed scalar, returning
<code>[magnitude * sign] base</code>. <a href="../trait.EccInstructions.html#tymethod.mul_fixed_short">Read more</a></p>
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.mul_fixed_base_field_elem" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#513-525">source</a></span><a href="#method.mul_fixed_base_field_elem" class="anchor"></a><h4 class="code-header">fn <a href="../trait.EccInstructions.html#tymethod.mul_fixed_base_field_elem" class="fnname">mul_fixed_base_field_elem</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;layouter: &amp;mut impl <a class="trait" href="../../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a>&lt;Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;base_field_elem: <a class="struct" href="../../../halo2_proofs/circuit/struct.AssignedCell.html" title="struct halo2_proofs::circuit::AssignedCell">AssignedCell</a>&lt;Base, Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;base: &amp;&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.FixedPoints" title="type halo2_gadgets::ecc::EccInstructions::FixedPoints">FixedPoints</a> as <a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt;::<a class="associatedtype" href="../trait.FixedPoints.html#associatedtype.Base" title="type halo2_gadgets::ecc::FixedPoints::Base">Base</a><br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, <a class="enum" href="../../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;</h4></section></summary><div class='docblock'><p>Performs fixed-base scalar multiplication using a base field element as the scalar.
</div></details><details class="rustdoc-toggle method-toggle" open><summary><section id="method.mul_fixed_base_field_elem" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#547-559">source</a></span><a href="#method.mul_fixed_base_field_elem" class="anchor"></a><h4 class="code-header">fn <a href="../trait.EccInstructions.html#tymethod.mul_fixed_base_field_elem" class="fnname">mul_fixed_base_field_elem</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;layouter: &amp;mut impl <a class="trait" href="../../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a>&lt;Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;base_field_elem: <a class="struct" href="../../../halo2_proofs/circuit/struct.AssignedCell.html" title="struct halo2_proofs::circuit::AssignedCell">AssignedCell</a>&lt;Base, Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;base: &amp;&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.FixedPoints" title="type halo2_gadgets::ecc::EccInstructions::FixedPoints">FixedPoints</a> as <a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt;::<a class="associatedtype" href="../trait.FixedPoints.html#associatedtype.Base" title="type halo2_gadgets::ecc::FixedPoints::Base">Base</a><br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;Self::<a class="associatedtype" href="../trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>, <a class="enum" href="../../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;</h4></section></summary><div class='docblock'><p>Performs fixed-base scalar multiplication using a base field element as the scalar.
In the current implementation, this base field element must be output from another
instruction. <a href="../trait.EccInstructions.html#tymethod.mul_fixed_base_field_elem">Read more</a></p>
</div></details></div></details><details class="rustdoc-toggle implementors-toggle" open><summary><section id="impl-PartialEq%3CEccChip%3CFixedPoints%3E%3E" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#225">source</a></span><a href="#impl-PartialEq%3CEccChip%3CFixedPoints%3E%3E" class="anchor"></a><h3 class="code-header in-band">impl&lt;FixedPoints:&nbsp;<a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a> + <a class="trait" href="../trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt; <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a>&lt;<a class="struct" href="struct.EccChip.html" title="struct halo2_gadgets::ecc::chip::EccChip">EccChip</a>&lt;FixedPoints&gt;&gt; for <a class="struct" href="struct.EccChip.html" title="struct halo2_gadgets::ecc::chip::EccChip">EccChip</a>&lt;FixedPoints&gt;</h3></section></summary><div class="impl-items"><details class="rustdoc-toggle method-toggle" open><summary><section id="method.eq" class="method trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#225">source</a></span><a href="#method.eq" class="anchor"></a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq" class="fnname">eq</a>(&amp;self, other: &amp;<a class="struct" href="struct.EccChip.html" title="struct halo2_gadgets::ecc::chip::EccChip">EccChip</a>&lt;FixedPoints&gt;) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'><p>This method tests for <code>self</code> and <code>other</code> values to be equal, and is used

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</a><h2 class="location"><a href="#">FixedPoint</a></h2><div class="sidebar-elems"><section><div class="block"><h3 class="sidebar-title"><a href="#required-associated-types">Required Associated Types</a></h3><ul><li><a href="#associatedtype.ScalarKind">ScalarKind</a></li></ul></div><div class="block"><h3 class="sidebar-title"><a href="#required-methods">Required Methods</a></h3><ul><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></div><div class="block"><h3 class="sidebar-title"><a href="#provided-methods">Provided Methods</a></h3><ul><li><a href="#method.lagrange_coeffs">lagrange_coeffs</a></li></ul></div><div class="block"><h3 class="sidebar-title"><a href="#implementors">Implementors</a></h3></div></section><h2 class="location"><a href="index.html">In halo2_gadgets::ecc::chip</a></h2><div id="sidebar-vars" data-name="FixedPoint" data-ty="trait" data-relpath=""></div><script defer src="sidebar-items.js"></script></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"><div class="theme-picker hidden"><button id="theme-picker" aria-label="Pick another theme!" aria-haspopup="menu" title="themes"><img width="22" height="22" alt="Pick another theme!" src="../../../brush.svg"></button><div id="theme-choices" role="menu"></div></div><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"><button type="button" id="help-button" title="help">?</button><a id="settings-menu" href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../wheel.svg"></a></div></form></nav></div><section id="main-content" class="content"><div class="main-heading">
</a><h2 class="location"><a href="#">FixedPoint</a></h2><div class="sidebar-elems"><section><div class="block"><h3 class="sidebar-title"><a href="#required-associated-types">Required Associated Types</a></h3><ul><li><a href="#associatedtype.FixedScalarKind">FixedScalarKind</a></li></ul></div><div class="block"><h3 class="sidebar-title"><a href="#required-methods">Required Methods</a></h3><ul><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></div><div class="block"><h3 class="sidebar-title"><a href="#provided-methods">Provided Methods</a></h3><ul><li><a href="#method.lagrange_coeffs">lagrange_coeffs</a></li></ul></div><div class="block"><h3 class="sidebar-title"><a href="#implementors">Implementors</a></h3></div></section><h2 class="location"><a href="index.html">In halo2_gadgets::ecc::chip</a></h2><div id="sidebar-vars" data-name="FixedPoint" data-ty="trait" data-relpath=""></div><script defer src="sidebar-items.js"></script></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"><div class="theme-picker hidden"><button id="theme-picker" aria-label="Pick another theme!" aria-haspopup="menu" title="themes"><img width="22" height="22" alt="Pick another theme!" src="../../../brush.svg"></button><div id="theme-choices" role="menu"></div></div><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"><button type="button" id="help-button" title="help">?</button><a id="settings-menu" href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../wheel.svg"></a></div></form></nav></div><section id="main-content" class="content"><div class="main-heading">
<h1 class="fqn"><span class="in-band">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="../../../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/chip.rs.html#205-222">source</a> · <a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class="inner">&#x2212;</span>]</a></span></div><div class="docblock item-decl"><pre class="rust trait"><code>pub trait FixedPoint&lt;C:&nbsp;CurveAffine&gt;: <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.ScalarKind" class="associatedtype">ScalarKind</a>: <a class="trait" href="trait.ScalarKind.html" title="trait halo2_gadgets::ecc::chip::ScalarKind">ScalarKind</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="fnname">generator</a>(&amp;self) -&gt; C;
<span class="item-spacer"></span> fn <a href="#tymethod.u" class="fnname">u</a>(&amp;self) -&gt; <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">[</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">[</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">; 32]</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">; 8]</a>&gt;<span class="notable-traits"><span class="notable-traits-tooltip"><span class="notable-traits-tooltiptext"><span class="docblock"><span class="notable">Notable traits for <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>, A&gt;</span><code class="content"><span class="where fmt-newline">impl&lt;A&gt; <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>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>, A&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;A: <a class="trait" href="https://doc.rust-lang.org/nightly/core/alloc/trait.Allocator.html" title="trait core::alloc::Allocator">Allocator</a>,&nbsp;</span></span></code></span></span></span></span>;
@ -28,7 +28,7 @@
fn <a href="#method.lagrange_coeffs" class="fnname">lagrange_coeffs</a>(&amp;self) -&gt; <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">[</a>C::Base<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">; 8]</a>&gt;<span class="notable-traits"><span class="notable-traits-tooltip"><span class="notable-traits-tooltiptext"><span class="docblock"><span class="notable">Notable traits for <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>, A&gt;</span><code class="content"><span class="where fmt-newline">impl&lt;A&gt; <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>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>, A&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;A: <a class="trait" href="https://doc.rust-lang.org/nightly/core/alloc/trait.Allocator.html" title="trait core::alloc::Allocator">Allocator</a>,&nbsp;</span></span></code></span></span></span></span> { ... }
}</code></pre></div><details class="rustdoc-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::ScalarKind</code>, $z$ is a field element such that for
<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>
@ -37,7 +37,7 @@ each point $(x, y)$ in the window:</p>
<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="rustdoc-toggle" open><summary><div id="associatedtype.ScalarKind" class="method has-srclink"><div class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#207">source</a></div><h4 class="code-header">type <a href="#associatedtype.ScalarKind" class="associatedtype">ScalarKind</a>: <a class="trait" href="trait.ScalarKind.html" title="trait halo2_gadgets::ecc::chip::ScalarKind">ScalarKind</a></h4></div></summary><div class="docblock"><p>The kind of scalar that this fixed point can be multiplied by.</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="rustdoc-toggle" open><summary><div id="associatedtype.FixedScalarKind" class="method has-srclink"><div class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#207">source</a></div><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></div></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="rustdoc-toggle" open><summary><div id="tymethod.generator" class="method has-srclink"><div class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#210">source</a></div><h4 class="code-header">fn <a href="#tymethod.generator" class="fnname">generator</a>(&amp;self) -&gt; C</h4></div></summary><div class="docblock"><p>Returns the generator for this fixed point.</p>
</div></details><details class="rustdoc-toggle" open><summary><div id="tymethod.u" class="method has-srclink"><div class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#213">source</a></div><h4 class="code-header">fn <a href="#tymethod.u" class="fnname">u</a>(&amp;self) -&gt; <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">[</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">[</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">; 32]</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">; 8]</a>&gt;<span class="notable-traits"><span class="notable-traits-tooltip"><span class="notable-traits-tooltiptext"><span class="docblock"><span class="notable">Notable traits for <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>, A&gt;</span><code class="content"><span class="where fmt-newline">impl&lt;A&gt; <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>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>, A&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;A: <a class="trait" href="https://doc.rust-lang.org/nightly/core/alloc/trait.Allocator.html" title="trait core::alloc::Allocator">Allocator</a>,&nbsp;</span></span></code></span></span></span></span></h4></div></summary><div class="docblock"><p>Returns the $u$ values for this fixed point.</p>
</div></details><details class="rustdoc-toggle" open><summary><div id="tymethod.z" class="method has-srclink"><div class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#216">source</a></div><h4 class="code-header">fn <a href="#tymethod.z" class="fnname">z</a>(&amp;self) -&gt; <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a>&gt;<span class="notable-traits"><span class="notable-traits-tooltip"><span class="notable-traits-tooltiptext"><span class="docblock"><span class="notable">Notable traits for <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>, A&gt;</span><code class="content"><span class="where fmt-newline">impl&lt;A&gt; <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>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>, A&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;A: <a class="trait" href="https://doc.rust-lang.org/nightly/core/alloc/trait.Allocator.html" title="trait core::alloc::Allocator">Allocator</a>,&nbsp;</span></span></code></span></span></span></span></h4></div></summary><div class="docblock"><p>Returns the $z$ value for this fixed point.</p>

View File

@ -0,0 +1,28 @@
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</a><h2 class="location"><a href="#">FixedScalarKind</a></h2><div class="sidebar-elems"><section><div class="block"><h3 class="sidebar-title"><a href="#required-associated-consts">Required Associated Constants</a></h3><ul><li><a href="#associatedconstant.NUM_WINDOWS">NUM_WINDOWS</a></li></ul></div><div class="block"><h3 class="sidebar-title"><a href="#implementors">Implementors</a></h3></div></section><h2 class="location"><a href="index.html">In halo2_gadgets::ecc::chip</a></h2><div id="sidebar-vars" data-name="FixedScalarKind" data-ty="trait" data-relpath=""></div><script defer src="sidebar-items.js"></script></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"><div class="theme-picker hidden"><button id="theme-picker" aria-label="Pick another theme!" aria-haspopup="menu" title="themes"><img width="22" height="22" alt="Pick another theme!" src="../../../brush.svg"></button><div id="theme-choices" role="menu"></div></div><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"><button type="button" id="help-button" title="help">?</button><a id="settings-menu" href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../wheel.svg"></a></div></form></nav></div><section id="main-content" class="content"><div class="main-heading">
<h1 class="fqn"><span class="in-band">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="#">FixedScalarKind</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/chip.rs.html#166-169">source</a> · <a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class="inner">&#x2212;</span>]</a></span></div><div class="docblock item-decl"><pre class="rust trait"><code>pub trait FixedScalarKind {
const <a href="#associatedconstant.NUM_WINDOWS" class="constant">NUM_WINDOWS</a>: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>;
}</code></pre></div><details class="rustdoc-toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>A trait representing the kind of scalar used with a particular <code>FixedPoint</code>.</p>
<p>This trait exists because of limitations around const generics.</p>
</div></details><h2 id="required-associated-consts" class="small-section-header">Required Associated Constants<a href="#required-associated-consts" class="anchor"></a></h2><div class="methods"><details class="rustdoc-toggle" open><summary><div id="associatedconstant.NUM_WINDOWS" class="method has-srclink"><div class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#168">source</a></div><h4 class="code-header">const <a href="#associatedconstant.NUM_WINDOWS" class="constant">NUM_WINDOWS</a>: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></div></summary><div class="docblock"><p>The number of windows that this scalar kind requires.</p>
</div></details></div><h2 id="implementors" class="small-section-header">Implementors<a href="#implementors" class="anchor"></a></h2><div class="item-list" id="implementors-list"><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-FixedScalarKind" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#191-193">source</a></span><a href="#impl-FixedScalarKind" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="trait.FixedScalarKind.html" title="trait halo2_gadgets::ecc::chip::FixedScalarKind">FixedScalarKind</a> for <a class="enum" href="enum.BaseFieldElem.html" title="enum halo2_gadgets::ecc::chip::BaseFieldElem">BaseFieldElem</a></h3></section></summary><div class="impl-items"><section id="associatedconstant.NUM_WINDOWS-1" class="associatedconstant trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#192">source</a></span><a href="#associatedconstant.NUM_WINDOWS-1" class="anchor"></a><h4 class="code-header">const <a href="#associatedconstant.NUM_WINDOWS" class="constant">NUM_WINDOWS</a>: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> = 85usize</h4></section></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-FixedScalarKind-1" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#175-177">source</a></span><a href="#impl-FixedScalarKind-1" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="trait.FixedScalarKind.html" title="trait halo2_gadgets::ecc::chip::FixedScalarKind">FixedScalarKind</a> for <a class="enum" href="enum.FullScalar.html" title="enum halo2_gadgets::ecc::chip::FullScalar">FullScalar</a></h3></section></summary><div class="impl-items"><section id="associatedconstant.NUM_WINDOWS-2" class="associatedconstant trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#176">source</a></span><a href="#associatedconstant.NUM_WINDOWS-2" class="anchor"></a><h4 class="code-header">const <a href="#associatedconstant.NUM_WINDOWS" class="constant">NUM_WINDOWS</a>: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> = 85usize</h4></section></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-FixedScalarKind-2" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#183-185">source</a></span><a href="#impl-FixedScalarKind-2" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="trait.FixedScalarKind.html" title="trait halo2_gadgets::ecc::chip::FixedScalarKind">FixedScalarKind</a> for <a class="enum" href="enum.ShortScalar.html" title="enum halo2_gadgets::ecc::chip::ShortScalar">ShortScalar</a></h3></section></summary><div class="impl-items"><section id="associatedconstant.NUM_WINDOWS-3" class="associatedconstant trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#184">source</a></span><a href="#associatedconstant.NUM_WINDOWS-3" class="anchor"></a><h4 class="code-header">const <a href="#associatedconstant.NUM_WINDOWS" class="constant">NUM_WINDOWS</a>: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> = 22usize</h4></section></div></details></div><script type="text/javascript" src="../../../implementors/halo2_gadgets/ecc/chip/trait.FixedScalarKind.js" async></script></section></div></main><div id="rustdoc-vars" data-root-path="../../../" data-current-crate="halo2_gadgets" data-themes="ayu,dark,light" data-resource-suffix="" data-rustdoc-version="1.62.0-nightly (30f386087 2022-05-05)" ></div>
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</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">&#9776;</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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</a><h2 class="location"><a href="#">ScalarKind</a></h2><div class="sidebar-elems"><section><div class="block"><h3 class="sidebar-title"><a href="#required-associated-consts">Required Associated Constants</a></h3><ul><li><a href="#associatedconstant.NUM_WINDOWS">NUM_WINDOWS</a></li></ul></div><div class="block"><h3 class="sidebar-title"><a href="#implementors">Implementors</a></h3></div></section><h2 class="location"><a href="index.html">In halo2_gadgets::ecc::chip</a></h2><div id="sidebar-vars" data-name="ScalarKind" data-ty="trait" data-relpath=""></div><script defer src="sidebar-items.js"></script></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"><div class="theme-picker hidden"><button id="theme-picker" aria-label="Pick another theme!" aria-haspopup="menu" title="themes"><img width="22" height="22" alt="Pick another theme!" src="../../../brush.svg"></button><div id="theme-choices" role="menu"></div></div><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"><button type="button" id="help-button" title="help">?</button><a id="settings-menu" href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../wheel.svg"></a></div></form></nav></div><section id="main-content" class="content"><div class="main-heading">
<h1 class="fqn"><span class="in-band">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="#">ScalarKind</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/chip.rs.html#166-169">source</a> · <a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class="inner">&#x2212;</span>]</a></span></div><div class="docblock item-decl"><pre class="rust trait"><code>pub trait ScalarKind {
const <a href="#associatedconstant.NUM_WINDOWS" class="constant">NUM_WINDOWS</a>: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>;
}</code></pre></div><details class="rustdoc-toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>A trait representing the kind of scalar used with a particular <code>FixedPoint</code>.</p>
<p>This trait exists because of limitations around const generics.</p>
</div></details><h2 id="required-associated-consts" class="small-section-header">Required Associated Constants<a href="#required-associated-consts" class="anchor"></a></h2><div class="methods"><details class="rustdoc-toggle" open><summary><div id="associatedconstant.NUM_WINDOWS" class="method has-srclink"><div class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#168">source</a></div><h4 class="code-header">const <a href="#associatedconstant.NUM_WINDOWS" class="constant">NUM_WINDOWS</a>: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></div></summary><div class="docblock"><p>The number of windows that this scalar kind requires.</p>
</div></details></div><h2 id="implementors" class="small-section-header">Implementors<a href="#implementors" class="anchor"></a></h2><div class="item-list" id="implementors-list"><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-ScalarKind" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#191-193">source</a></span><a href="#impl-ScalarKind" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="trait.ScalarKind.html" title="trait halo2_gadgets::ecc::chip::ScalarKind">ScalarKind</a> for <a class="enum" href="enum.BaseFieldElem.html" title="enum halo2_gadgets::ecc::chip::BaseFieldElem">BaseFieldElem</a></h3></section></summary><div class="impl-items"><section id="associatedconstant.NUM_WINDOWS-1" class="associatedconstant trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#192">source</a></span><a href="#associatedconstant.NUM_WINDOWS-1" class="anchor"></a><h4 class="code-header">const <a href="#associatedconstant.NUM_WINDOWS" class="constant">NUM_WINDOWS</a>: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> = 85usize</h4></section></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-ScalarKind-1" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#175-177">source</a></span><a href="#impl-ScalarKind-1" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="trait.ScalarKind.html" title="trait halo2_gadgets::ecc::chip::ScalarKind">ScalarKind</a> for <a class="enum" href="enum.FullScalar.html" title="enum halo2_gadgets::ecc::chip::FullScalar">FullScalar</a></h3></section></summary><div class="impl-items"><section id="associatedconstant.NUM_WINDOWS-2" class="associatedconstant trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#176">source</a></span><a href="#associatedconstant.NUM_WINDOWS-2" class="anchor"></a><h4 class="code-header">const <a href="#associatedconstant.NUM_WINDOWS" class="constant">NUM_WINDOWS</a>: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> = 85usize</h4></section></div></details><details class="rustdoc-toggle implementors-toggle"><summary><section id="impl-ScalarKind-2" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#183-185">source</a></span><a href="#impl-ScalarKind-2" class="anchor"></a><h3 class="code-header in-band">impl <a class="trait" href="trait.ScalarKind.html" title="trait halo2_gadgets::ecc::chip::ScalarKind">ScalarKind</a> for <a class="enum" href="enum.ShortScalar.html" title="enum halo2_gadgets::ecc::chip::ShortScalar">ShortScalar</a></h3></section></summary><div class="impl-items"><section id="associatedconstant.NUM_WINDOWS-3" class="associatedconstant trait-impl has-srclink"><span class="rightside"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#184">source</a></span><a href="#associatedconstant.NUM_WINDOWS-3" class="anchor"></a><h4 class="code-header">const <a href="#associatedconstant.NUM_WINDOWS" class="constant">NUM_WINDOWS</a>: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> = 22usize</h4></section></div></details></div><script type="text/javascript" src="../../../implementors/halo2_gadgets/ecc/chip/trait.ScalarKind.js" async></script></section></div></main><div id="rustdoc-vars" data-root-path="../../../" data-current-crate="halo2_gadgets" data-themes="ayu,dark,light" data-resource-suffix="" data-rustdoc-version="1.62.0-nightly (30f386087 2022-05-05)" ></div>
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</nav>
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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 id="sidebar-vars" data-name="ecc" data-ty="mod" data-relpath="./"></div><script defer src="./sidebar-items.js"></script></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"><div class="theme-picker hidden"><button id="theme-picker" aria-label="Pick another theme!" aria-haspopup="menu" title="themes"><img width="22" height="22" alt="Pick another theme!" src="../../brush.svg"></button><div id="theme-choices" role="menu"></div></div><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"><button type="button" id="help-button" title="help">?</button><a id="settings-menu" href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../wheel.svg"></a></div></form></nav></div><section id="main-content" class="content"><div class="main-heading">
<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#1-831">source</a> · <a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class="inner">&#x2212;</span>]</a></span></div><details class="rustdoc-toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Gadgets for elliptic curve operations.</p>
<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#1-872">source</a> · <a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class="inner">&#x2212;</span>]</a></span></div><details class="rustdoc-toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Gadgets for elliptic curve operations.</p>
</div></details><h2 id="modules" class="small-section-header"><a href="#modules">Modules</a></h2>
<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>
</div></div></div><h2 id="structs" class="small-section-header"><a href="#structs">Structs</a></h2>
@ -38,7 +38,9 @@ in variable-base scalar mul.</p>
</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 an elliptic curve point over the
given curve.</p>
</div></div></div><h2 id="traits" class="small-section-header"><a href="#traits">Traits</a></h2>
<div class="item-table"><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>
<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
its scalar field.</p>
</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>
</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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initSidebarItems({"mod":[["chip","Chip implementations for the ECC gadgets."]],"struct":[["FixedPoint","A constant elliptic curve point over the given curve, for which window tables have been provided to make scalar multiplication more efficient."],["FixedPointBaseField","A constant elliptic curve point over the given curve, used in scalar multiplication with a base field element"],["FixedPointShort","A constant elliptic curve point over the given curve, used in scalar multiplication with a short signed exponent"],["NonIdentityPoint","A non-identity elliptic curve point over the given curve."],["Point","An elliptic curve point over the given curve."],["ScalarFixed","A full-width element of the given elliptic curves scalar field, to be used for fixed-base scalar mul."],["ScalarFixedShort","A signed short element of the given elliptic curves scalar field, to be used for fixed-base scalar mul."],["ScalarVar","An element of the given elliptic curves base field, that is used as a scalar in variable-base scalar mul."],["X","The affine short Weierstrass x-coordinate of an elliptic curve point over the given curve."]],"trait":[["EccInstructions","The set of circuit instructions required to use the ECC gadgets."],["FixedPoints","Defines the fixed points for a given instantiation of the ECC chip."]]});
initSidebarItems({"mod":[["chip","Chip implementations for the ECC gadgets."]],"struct":[["FixedPoint","A constant elliptic curve point over the given curve, for which window tables have been provided to make scalar multiplication more efficient."],["FixedPointBaseField","A constant elliptic curve point over the given curve, used in scalar multiplication with a base field element"],["FixedPointShort","A constant elliptic curve point over the given curve, used in scalar multiplication with a short signed exponent"],["NonIdentityPoint","A non-identity elliptic curve point over the given curve."],["Point","An elliptic curve point over the given curve."],["ScalarFixed","A full-width element of the given elliptic curves scalar field, to be used for fixed-base scalar mul."],["ScalarFixedShort","A signed short element of the given elliptic curves scalar field, to be used for fixed-base scalar mul."],["ScalarVar","An element of the given elliptic curves base field, that is used as a scalar in variable-base scalar mul."],["X","The affine short Weierstrass x-coordinate of an elliptic curve point over the given curve."]],"trait":[["BaseFitsInScalarInstructions","Instructions that can be implemented for a curve whose base field fits into its scalar field."],["EccInstructions","The set of circuit instructions required to use the ECC gadgets."],["FixedPoints","Defines the fixed points for a given instantiation of the ECC chip."]]});

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</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">&#9776;</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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</a><h2 class="location"><a href="#">BaseFitsInScalarInstructions</a></h2><div class="sidebar-elems"><section><div class="block"><h3 class="sidebar-title"><a href="#required-methods">Required Methods</a></h3><ul><li><a href="#tymethod.scalar_var_from_base">scalar_var_from_base</a></li></ul></div><div class="block"><h3 class="sidebar-title"><a href="#implementors">Implementors</a></h3></div></section><h2 class="location"><a href="index.html">In halo2_gadgets::ecc</a></h2><div id="sidebar-vars" data-name="BaseFitsInScalarInstructions" data-ty="trait" data-relpath=""></div><script defer src="sidebar-items.js"></script></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"><div class="theme-picker hidden"><button id="theme-picker" aria-label="Pick another theme!" aria-haspopup="menu" title="themes"><img width="22" height="22" alt="Pick another theme!" src="../../brush.svg"></button><div id="theme-choices" role="menu"></div></div><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"><button type="button" id="help-button" title="help">?</button><a id="settings-menu" href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../wheel.svg"></a></div></form></nav></div><section id="main-content" class="content"><div class="main-heading">
<h1 class="fqn"><span class="in-band">Trait <a href="../index.html">halo2_gadgets</a>::<wbr><a href="index.html">ecc</a>::<wbr><a class="trait" href="#">BaseFitsInScalarInstructions</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#137-145">source</a> · <a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class="inner">&#x2212;</span>]</a></span></div><div class="docblock item-decl"><pre class="rust trait"><code>pub trait BaseFitsInScalarInstructions&lt;C:&nbsp;CurveAffine&gt;: <a class="trait" href="trait.EccInstructions.html" title="trait halo2_gadgets::ecc::EccInstructions">EccInstructions</a>&lt;C&gt; {
fn <a href="#tymethod.scalar_var_from_base" class="fnname">scalar_var_from_base</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;layouter: &amp;mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a>&lt;C::Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;base: &amp;Self::<a class="associatedtype" href="../utilities/trait.UtilitiesInstructions.html#associatedtype.Var" title="type halo2_gadgets::utilities::UtilitiesInstructions::Var">Var</a><br>&nbsp;&nbsp;&nbsp;&nbsp;) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarVar" title="type halo2_gadgets::ecc::EccInstructions::ScalarVar">ScalarVar</a>, <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;;
}</code></pre></div><details class="rustdoc-toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Instructions that can be implemented for a curve whose base field fits into
its scalar field.</p>
</div></details><h2 id="required-methods" class="small-section-header">Required Methods<a href="#required-methods" class="anchor"></a></h2><div class="methods"><details class="rustdoc-toggle" open><summary><div id="tymethod.scalar_var_from_base" class="method has-srclink"><div class="rightside"><a class="srclink" href="../../src/halo2_gadgets/ecc.rs.html#140-144">source</a></div><h4 class="code-header">fn <a href="#tymethod.scalar_var_from_base" class="fnname">scalar_var_from_base</a>(<br>&nbsp;&nbsp;&nbsp;&nbsp;&amp;self, <br>&nbsp;&nbsp;&nbsp;&nbsp;layouter: &amp;mut impl <a class="trait" href="../../halo2_proofs/circuit/trait.Layouter.html" title="trait halo2_proofs::circuit::Layouter">Layouter</a>&lt;C::Base&gt;, <br>&nbsp;&nbsp;&nbsp;&nbsp;base: &amp;Self::<a class="associatedtype" href="../utilities/trait.UtilitiesInstructions.html#associatedtype.Var" title="type halo2_gadgets::utilities::UtilitiesInstructions::Var">Var</a><br>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarVar" title="type halo2_gadgets::ecc::EccInstructions::ScalarVar">ScalarVar</a>, <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;</h4></div></summary><div class="docblock"><p>Converts a base field element that exists as a variable in the circuit
into a scalar to be used in variable-base scalar multiplication.</p>
</div></details></div><h2 id="implementors" class="small-section-header">Implementors<a href="#implementors" class="anchor"></a></h2><div class="item-list" id="implementors-list"><section id="impl-BaseFitsInScalarInstructions%3CEpAffine%3E" class="impl has-srclink"><span class="rightside"><a class="srclink" href="../../src/halo2_gadgets/ecc/chip.rs.html#562-579">source</a></span><a href="#impl-BaseFitsInScalarInstructions%3CEpAffine%3E" class="anchor"></a><h3 class="code-header in-band">impl&lt;Fixed:&nbsp;<a class="trait" href="trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt; <a class="trait" href="trait.BaseFitsInScalarInstructions.html" title="trait halo2_gadgets::ecc::BaseFitsInScalarInstructions">BaseFitsInScalarInstructions</a>&lt;EpAffine&gt; for <a class="struct" href="chip/struct.EccChip.html" title="struct halo2_gadgets::ecc::chip::EccChip">EccChip</a>&lt;Fixed&gt; <span class="where fmt-newline">where<br>&nbsp;&nbsp;&nbsp;&nbsp;&lt;Fixed as <a class="trait" href="trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt;::<a class="associatedtype" href="trait.FixedPoints.html#associatedtype.Base" title="type halo2_gadgets::ecc::FixedPoints::Base">Base</a>: <a class="trait" href="chip/trait.FixedPoint.html" title="trait halo2_gadgets::ecc::chip::FixedPoint">FixedPoint</a>&lt;Affine, FixedScalarKind = <a class="enum" href="chip/enum.BaseFieldElem.html" title="enum halo2_gadgets::ecc::chip::BaseFieldElem">BaseFieldElem</a>&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;&lt;Fixed as <a class="trait" href="trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt;::<a class="associatedtype" href="trait.FixedPoints.html#associatedtype.FullScalar" title="type halo2_gadgets::ecc::FixedPoints::FullScalar">FullScalar</a>: <a class="trait" href="chip/trait.FixedPoint.html" title="trait halo2_gadgets::ecc::chip::FixedPoint">FixedPoint</a>&lt;Affine, FixedScalarKind = <a class="enum" href="chip/enum.FullScalar.html" title="enum halo2_gadgets::ecc::chip::FullScalar">FullScalar</a>&gt;,<br>&nbsp;&nbsp;&nbsp;&nbsp;&lt;Fixed as <a class="trait" href="trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;Affine&gt;&gt;::<a class="associatedtype" href="trait.FixedPoints.html#associatedtype.ShortScalar" title="type halo2_gadgets::ecc::FixedPoints::ShortScalar">ShortScalar</a>: <a class="trait" href="chip/trait.FixedPoint.html" title="trait halo2_gadgets::ecc::chip::FixedPoint">FixedPoint</a>&lt;Affine, FixedScalarKind = <a class="enum" href="chip/enum.ShortScalar.html" title="enum halo2_gadgets::ecc::chip::ShortScalar">ShortScalar</a>&gt;,&nbsp;</span></h3></section></div><script type="text/javascript" src="../../implementors/halo2_gadgets/ecc/trait.BaseFitsInScalarInstructions.js" async></script></section></div></main><div id="rustdoc-vars" data-root-path="../../" data-current-crate="halo2_gadgets" data-themes="ayu,dark,light" data-resource-suffix="" data-rustdoc-version="1.62.0-nightly (30f386087 2022-05-05)" ></div>
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</nav>
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</a><h2 class="location"><a href="#">FixedPoints</a></h2><div class="sidebar-elems"><section><div class="block"><h3 class="sidebar-title"><a href="#required-associated-types">Required Associated Types</a></h3><ul><li><a href="#associatedtype.Base">Base</a></li><li><a href="#associatedtype.FullScalar">FullScalar</a></li><li><a href="#associatedtype.ShortScalar">ShortScalar</a></li></ul></div><div class="block"><h3 class="sidebar-title"><a href="#implementors">Implementors</a></h3></div></section><h2 class="location"><a href="index.html">In halo2_gadgets::ecc</a></h2><div id="sidebar-vars" data-name="FixedPoints" data-ty="trait" data-relpath=""></div><script defer src="sidebar-items.js"></script></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"><div class="theme-picker hidden"><button id="theme-picker" aria-label="Pick another theme!" aria-haspopup="menu" title="themes"><img width="22" height="22" alt="Pick another theme!" src="../../brush.svg"></button><div id="theme-choices" role="menu"></div></div><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"><button type="button" id="help-button" title="help">?</button><a id="settings-menu" href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../wheel.svg"></a></div></form></nav></div><section id="main-content" class="content"><div class="main-heading">
<h1 class="fqn"><span class="in-band">Trait <a href="../index.html">halo2_gadgets</a>::<wbr><a href="index.html">ecc</a>::<wbr><a class="trait" href="#">FixedPoints</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#135-142">source</a> · <a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class="inner">&#x2212;</span>]</a></span></div><div class="docblock item-decl"><pre class="rust trait"><code>pub trait FixedPoints&lt;C:&nbsp;CurveAffine&gt;: <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> {
<h1 class="fqn"><span class="in-band">Trait <a href="../index.html">halo2_gadgets</a>::<wbr><a href="index.html">ecc</a>::<wbr><a class="trait" href="#">FixedPoints</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#148-155">source</a> · <a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class="inner">&#x2212;</span>]</a></span></div><div class="docblock item-decl"><pre class="rust trait"><code>pub trait FixedPoints&lt;C:&nbsp;CurveAffine&gt;: <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.FullScalar" class="associatedtype">FullScalar</a>: <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.ShortScalar" class="associatedtype">ShortScalar</a>: <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.Base" class="associatedtype">Base</a>: <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>;
}</code></pre></div><details class="rustdoc-toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Defines the fixed points for a given instantiation of the ECC chip.</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="rustdoc-toggle" open><summary><div id="associatedtype.FullScalar" class="method has-srclink"><div class="rightside"><a class="srclink" href="../../src/halo2_gadgets/ecc.rs.html#137">source</a></div><h4 class="code-header">type <a href="#associatedtype.FullScalar" class="associatedtype">FullScalar</a>: <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></h4></div></summary><div class="docblock"><p>Fixed points that can be used with full-width scalar multiplication.</p>
</div></details><details class="rustdoc-toggle" open><summary><div id="associatedtype.ShortScalar" class="method has-srclink"><div class="rightside"><a class="srclink" href="../../src/halo2_gadgets/ecc.rs.html#139">source</a></div><h4 class="code-header">type <a href="#associatedtype.ShortScalar" class="associatedtype">ShortScalar</a>: <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></h4></div></summary><div class="docblock"><p>Fixed points that can be used with short scalar multiplication.</p>
</div></details><details class="rustdoc-toggle" open><summary><div id="associatedtype.Base" class="method has-srclink"><div class="rightside"><a class="srclink" href="../../src/halo2_gadgets/ecc.rs.html#141">source</a></div><h4 class="code-header">type <a href="#associatedtype.Base" class="associatedtype">Base</a>: <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></h4></div></summary><div class="docblock"><p>Fixed points that can be multiplied by base field elements.</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="rustdoc-toggle" open><summary><div id="associatedtype.FullScalar" class="method has-srclink"><div class="rightside"><a class="srclink" href="../../src/halo2_gadgets/ecc.rs.html#150">source</a></div><h4 class="code-header">type <a href="#associatedtype.FullScalar" class="associatedtype">FullScalar</a>: <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></h4></div></summary><div class="docblock"><p>Fixed points that can be used with full-width scalar multiplication.</p>
</div></details><details class="rustdoc-toggle" open><summary><div id="associatedtype.ShortScalar" class="method has-srclink"><div class="rightside"><a class="srclink" href="../../src/halo2_gadgets/ecc.rs.html#152">source</a></div><h4 class="code-header">type <a href="#associatedtype.ShortScalar" class="associatedtype">ShortScalar</a>: <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></h4></div></summary><div class="docblock"><p>Fixed points that can be used with short scalar multiplication.</p>
</div></details><details class="rustdoc-toggle" open><summary><div id="associatedtype.Base" class="method has-srclink"><div class="rightside"><a class="srclink" href="../../src/halo2_gadgets/ecc.rs.html#154">source</a></div><h4 class="code-header">type <a href="#associatedtype.Base" class="associatedtype">Base</a>: <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></h4></div></summary><div class="docblock"><p>Fixed points that can be multiplied by base field elements.</p>
</div></details></div><h2 id="implementors" class="small-section-header">Implementors<a href="#implementors" class="anchor"></a></h2><div class="item-list" id="implementors-list"></div><script type="text/javascript" src="../../implementors/halo2_gadgets/ecc/trait.FixedPoints.js" async></script></section></div></main><div id="rustdoc-vars" data-root-path="../../" data-current-crate="halo2_gadgets" data-themes="ayu,dark,light" data-resource-suffix="" data-rustdoc-version="1.62.0-nightly (30f386087 2022-05-05)" ></div>
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(function() {var implementors = {};
implementors["halo2_gadgets"] = [];
if (window.register_implementors) {window.register_implementors(implementors);} else {window.pending_implementors = implementors;}})()

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@ -849,6 +849,47 @@
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<span id="830">830</span>
<span id="831">831</span>
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<span id="833">833</span>
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<span id="837">837</span>
<span id="838">838</span>
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<span id="841">841</span>
<span id="842">842</span>
<span id="843">843</span>
<span id="844">844</span>
<span id="845">845</span>
<span id="846">846</span>
<span id="847">847</span>
<span id="848">848</span>
<span id="849">849</span>
<span id="850">850</span>
<span id="851">851</span>
<span id="852">852</span>
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<span id="854">854</span>
<span id="855">855</span>
<span id="856">856</span>
<span id="857">857</span>
<span id="858">858</span>
<span id="859">859</span>
<span id="860">860</span>
<span id="861">861</span>
<span id="862">862</span>
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<span id="864">864</span>
<span id="865">865</span>
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<span id="867">867</span>
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<span id="870">870</span>
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<span id="872">872</span>
</pre><pre class="rust"><code><span class="doccomment">//! Gadgets for elliptic curve operations.</span>
<span class="kw">use</span> <span class="ident">std::fmt::Debug</span>;
@ -867,17 +908,11 @@
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">EccInstructions</span><span class="op">&lt;</span><span class="ident">C</span>: <span class="ident">CurveAffine</span><span class="op">&gt;</span>:
<span class="ident">Chip</span><span class="op">&lt;</span><span class="ident">C::Base</span><span class="op">&gt;</span> <span class="op">+</span> <span class="ident">UtilitiesInstructions</span><span class="op">&lt;</span><span class="ident">C::Base</span><span class="op">&gt;</span> <span class="op">+</span> <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Debug</span> <span class="op">+</span> <span class="ident">Eq</span>
{
<span class="doccomment">/// Variable representing an element of the elliptic curve&#39;s base field, that</span>
<span class="doccomment">/// is used as a scalar in variable-base scalar mul.</span>
<span class="doccomment">/// Variable representing a scalar used in variable-base scalar mul.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// It is not true in general that a scalar field element fits in a curve&#39;s</span>
<span class="doccomment">/// base field, and in particular it is untrue for the Pallas curve, whose</span>
<span class="doccomment">/// scalar field `Fq` is larger than its base field `Fp`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// However, the only use of variable-base scalar mul in the Orchard protocol</span>
<span class="doccomment">/// is in deriving diversified addresses `[ivk] g_d`, and `ivk` is guaranteed</span>
<span class="doccomment">/// to be in the base field of the curve. (See non-normative notes in</span>
<span class="doccomment">/// https://zips.z.cash/protocol/nu5.pdf#orchardkeycomponents.)</span>
<span class="doccomment">/// This type is treated as a full-width scalar. However, if `Self` implements</span>
<span class="doccomment">/// [`BaseFitsInScalarInstructions`] then this may also be constructed from an element</span>
<span class="doccomment">/// of the base field.</span>
<span class="kw">type</span> <span class="ident">ScalarVar</span>: <span class="ident">Clone</span> <span class="op">+</span> <span class="ident">Debug</span>;
<span class="doccomment">/// Variable representing a full-width element of the elliptic curve&#39;s</span>
<span class="doccomment">/// scalar field, to be used for fixed-base scalar mul.</span>
@ -925,6 +960,13 @@
<span class="ident">value</span>: <span class="prelude-ty">Option</span><span class="op">&lt;</span><span class="ident">C</span><span class="op">&gt;</span>,
) -&gt; <span class="prelude-ty">Result</span><span class="op">&lt;</span><span class="ident"><span class="self">Self</span>::NonIdentityPoint</span>, <span class="ident">Error</span><span class="op">&gt;</span>;
<span class="doccomment">/// Witnesses a full-width scalar to be used in variable-base multiplication.</span>
<span class="kw">fn</span> <span class="ident">witness_scalar_var</span>(
<span class="kw-2">&amp;</span><span class="self">self</span>,
<span class="ident">layouter</span>: <span class="kw-2">&amp;mut</span> <span class="kw">impl</span> <span class="ident">Layouter</span><span class="op">&lt;</span><span class="ident">C::Base</span><span class="op">&gt;</span>,
<span class="ident">value</span>: <span class="prelude-ty">Option</span><span class="op">&lt;</span><span class="ident">C::Scalar</span><span class="op">&gt;</span>,
) -&gt; <span class="prelude-ty">Result</span><span class="op">&lt;</span><span class="ident"><span class="self">Self</span>::ScalarVar</span>, <span class="ident">Error</span><span class="op">&gt;</span>;
<span class="doccomment">/// Extracts the x-coordinate of a point.</span>
<span class="kw">fn</span> <span class="ident">extract_p</span><span class="op">&lt;</span><span class="ident">Point</span>: <span class="ident">Into</span><span class="op">&lt;</span><span class="ident"><span class="self">Self</span>::Point</span><span class="op">&gt;</span> <span class="op">+</span> <span class="ident">Clone</span><span class="op">&gt;</span>(<span class="ident">point</span>: <span class="kw-2">&amp;</span><span class="ident">Point</span>) -&gt; <span class="ident"><span class="self">Self</span>::X</span>;
@ -950,7 +992,7 @@
<span class="kw">fn</span> <span class="ident">mul</span>(
<span class="kw-2">&amp;</span><span class="self">self</span>,
<span class="ident">layouter</span>: <span class="kw-2">&amp;mut</span> <span class="kw">impl</span> <span class="ident">Layouter</span><span class="op">&lt;</span><span class="ident">C::Base</span><span class="op">&gt;</span>,
<span class="ident">scalar</span>: <span class="kw-2">&amp;</span><span class="ident"><span class="self">Self</span>::Var</span>,
<span class="ident">scalar</span>: <span class="kw-2">&amp;</span><span class="ident"><span class="self">Self</span>::ScalarVar</span>,
<span class="ident">base</span>: <span class="kw-2">&amp;</span><span class="ident"><span class="self">Self</span>::NonIdentityPoint</span>,
) -&gt; <span class="prelude-ty">Result</span><span class="op">&lt;</span>(<span class="ident"><span class="self">Self</span>::Point</span>, <span class="ident"><span class="self">Self</span>::ScalarVar</span>), <span class="ident">Error</span><span class="op">&gt;</span>;
@ -982,6 +1024,18 @@
) -&gt; <span class="prelude-ty">Result</span><span class="op">&lt;</span><span class="ident"><span class="self">Self</span>::Point</span>, <span class="ident">Error</span><span class="op">&gt;</span>;
}
<span class="doccomment">/// Instructions that can be implemented for a curve whose base field fits into</span>
<span class="doccomment">/// its scalar field.</span>
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">BaseFitsInScalarInstructions</span><span class="op">&lt;</span><span class="ident">C</span>: <span class="ident">CurveAffine</span><span class="op">&gt;</span>: <span class="ident">EccInstructions</span><span class="op">&lt;</span><span class="ident">C</span><span class="op">&gt;</span> {
<span class="doccomment">/// Converts a base field element that exists as a variable in the circuit</span>
<span class="doccomment">/// into a scalar to be used in variable-base scalar multiplication.</span>
<span class="kw">fn</span> <span class="ident">scalar_var_from_base</span>(
<span class="kw-2">&amp;</span><span class="self">self</span>,
<span class="ident">layouter</span>: <span class="kw-2">&amp;mut</span> <span class="kw">impl</span> <span class="ident">Layouter</span><span class="op">&lt;</span><span class="ident">C::Base</span><span class="op">&gt;</span>,
<span class="ident">base</span>: <span class="kw-2">&amp;</span><span class="ident"><span class="self">Self</span>::Var</span>,
) -&gt; <span class="prelude-ty">Result</span><span class="op">&lt;</span><span class="ident"><span class="self">Self</span>::ScalarVar</span>, <span class="ident">Error</span><span class="op">&gt;</span>;
}
<span class="doccomment">/// Defines the fixed points for a given instantiation of the ECC chip.</span>
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">FixedPoints</span><span class="op">&lt;</span><span class="ident">C</span>: <span class="ident">CurveAffine</span><span class="op">&gt;</span>: <span class="ident">Debug</span> <span class="op">+</span> <span class="ident">Eq</span> <span class="op">+</span> <span class="ident">Clone</span> {
<span class="doccomment">/// Fixed points that can be used with full-width scalar multiplication.</span>
@ -1009,6 +1063,33 @@
<span class="ident">inner</span>: <span class="ident">EccChip::ScalarVar</span>,
}
<span class="kw">impl</span><span class="op">&lt;</span><span class="ident">C</span>: <span class="ident">CurveAffine</span>, <span class="ident">EccChip</span>: <span class="ident">EccInstructions</span><span class="op">&lt;</span><span class="ident">C</span><span class="op">&gt;</span><span class="op">&gt;</span> <span class="ident">ScalarVar</span><span class="op">&lt;</span><span class="ident">C</span>, <span class="ident">EccChip</span><span class="op">&gt;</span> {
<span class="doccomment">/// Witnesses the given full-width scalar.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// Depending on the `EccChip` implementation, this may either witness the scalar</span>
<span class="doccomment">/// immediately, or delay witnessing until its first use in [`NonIdentityPoint::mul`].</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">new</span>(
<span class="ident">chip</span>: <span class="ident">EccChip</span>,
<span class="kw-2">mut</span> <span class="ident">layouter</span>: <span class="kw">impl</span> <span class="ident">Layouter</span><span class="op">&lt;</span><span class="ident">C::Base</span><span class="op">&gt;</span>,
<span class="ident">value</span>: <span class="prelude-ty">Option</span><span class="op">&lt;</span><span class="ident">C::Scalar</span><span class="op">&gt;</span>,
) -&gt; <span class="prelude-ty">Result</span><span class="op">&lt;</span><span class="self">Self</span>, <span class="ident">Error</span><span class="op">&gt;</span> {
<span class="kw">let</span> <span class="ident">scalar</span> <span class="op">=</span> <span class="ident">chip</span>.<span class="ident">witness_scalar_var</span>(<span class="kw-2">&amp;mut</span> <span class="ident">layouter</span>, <span class="ident">value</span>);
<span class="ident">scalar</span>.<span class="ident">map</span>(<span class="op">|</span><span class="ident">inner</span><span class="op">|</span> <span class="ident">ScalarVar</span> { <span class="ident">chip</span>, <span class="ident">inner</span> })
}
}
<span class="kw">impl</span><span class="op">&lt;</span><span class="ident">C</span>: <span class="ident">CurveAffine</span>, <span class="ident">EccChip</span>: <span class="ident">BaseFitsInScalarInstructions</span><span class="op">&lt;</span><span class="ident">C</span><span class="op">&gt;</span><span class="op">&gt;</span> <span class="ident">ScalarVar</span><span class="op">&lt;</span><span class="ident">C</span>, <span class="ident">EccChip</span><span class="op">&gt;</span> {
<span class="doccomment">/// Constructs a scalar from an existing base-field element.</span>
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">from_base</span>(
<span class="ident">chip</span>: <span class="ident">EccChip</span>,
<span class="kw-2">mut</span> <span class="ident">layouter</span>: <span class="kw">impl</span> <span class="ident">Layouter</span><span class="op">&lt;</span><span class="ident">C::Base</span><span class="op">&gt;</span>,
<span class="ident">base</span>: <span class="kw-2">&amp;</span><span class="ident">EccChip::Var</span>,
) -&gt; <span class="prelude-ty">Result</span><span class="op">&lt;</span><span class="self">Self</span>, <span class="ident">Error</span><span class="op">&gt;</span> {
<span class="kw">let</span> <span class="ident">scalar</span> <span class="op">=</span> <span class="ident">chip</span>.<span class="ident">scalar_var_from_base</span>(<span class="kw-2">&amp;mut</span> <span class="ident">layouter</span>, <span class="ident">base</span>);
<span class="ident">scalar</span>.<span class="ident">map</span>(<span class="op">|</span><span class="ident">inner</span><span class="op">|</span> <span class="ident">ScalarVar</span> { <span class="ident">chip</span>, <span class="ident">inner</span> })
}
}
<span class="doccomment">/// A full-width element of the given elliptic curve&#39;s scalar field, to be used for fixed-base scalar mul.</span>
<span class="attribute">#[<span class="ident">derive</span>(<span class="ident">Debug</span>)]</span>
<span class="kw">pub</span> <span class="kw">struct</span> <span class="ident">ScalarFixed</span><span class="op">&lt;</span><span class="ident">C</span>: <span class="ident">CurveAffine</span>, <span class="ident">EccChip</span>: <span class="ident">EccInstructions</span><span class="op">&lt;</span><span class="ident">C</span><span class="op">&gt;</span><span class="op">&gt;</span> {
@ -1110,10 +1191,11 @@
<span class="kw">pub</span> <span class="kw">fn</span> <span class="ident">mul</span>(
<span class="kw-2">&amp;</span><span class="self">self</span>,
<span class="kw-2">mut</span> <span class="ident">layouter</span>: <span class="kw">impl</span> <span class="ident">Layouter</span><span class="op">&lt;</span><span class="ident">C::Base</span><span class="op">&gt;</span>,
<span class="ident">by</span>: <span class="kw-2">&amp;</span><span class="ident">EccChip::Var</span>,
<span class="ident">by</span>: <span class="ident">ScalarVar</span><span class="op">&lt;</span><span class="ident">C</span>, <span class="ident">EccChip</span><span class="op">&gt;</span>,
) -&gt; <span class="prelude-ty">Result</span><span class="op">&lt;</span>(<span class="ident">Point</span><span class="op">&lt;</span><span class="ident">C</span>, <span class="ident">EccChip</span><span class="op">&gt;</span>, <span class="ident">ScalarVar</span><span class="op">&lt;</span><span class="ident">C</span>, <span class="ident">EccChip</span><span class="op">&gt;</span>), <span class="ident">Error</span><span class="op">&gt;</span> {
<span class="macro">assert_eq!</span>(<span class="self">self</span>.<span class="ident">chip</span>, <span class="ident">by</span>.<span class="ident">chip</span>);
<span class="self">self</span>.<span class="ident">chip</span>
.<span class="ident">mul</span>(<span class="kw-2">&amp;mut</span> <span class="ident">layouter</span>, <span class="ident">by</span>, <span class="kw-2">&amp;</span><span class="self">self</span>.<span class="ident">inner</span>.<span class="ident">clone</span>())
.<span class="ident">mul</span>(<span class="kw-2">&amp;mut</span> <span class="ident">layouter</span>, <span class="kw-2">&amp;</span><span class="ident">by</span>.<span class="ident">inner</span>, <span class="kw-2">&amp;</span><span class="self">self</span>.<span class="ident">inner</span>.<span class="ident">clone</span>())
.<span class="ident">map</span>(<span class="op">|</span>(<span class="ident">point</span>, <span class="ident">scalar</span>)<span class="op">|</span> {
(
<span class="ident">Point</span> {
@ -1392,7 +1474,7 @@
}
<span class="kw">impl</span> <span class="ident">FixedPoint</span><span class="op">&lt;</span><span class="ident">pallas::Affine</span><span class="op">&gt;</span> <span class="kw">for</span> <span class="ident">FullWidth</span> {
<span class="kw">type</span> <span class="ident">ScalarKind</span> <span class="op">=</span> <span class="ident">FullScalar</span>;
<span class="kw">type</span> <span class="ident">FixedScalarKind</span> <span class="op">=</span> <span class="ident">FullScalar</span>;
<span class="kw">fn</span> <span class="ident">generator</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="ident">pallas::Affine</span> {
<span class="self">self</span>.<span class="number">0</span>
@ -1422,7 +1504,7 @@
}
<span class="kw">impl</span> <span class="ident">FixedPoint</span><span class="op">&lt;</span><span class="ident">pallas::Affine</span><span class="op">&gt;</span> <span class="kw">for</span> <span class="ident">BaseField</span> {
<span class="kw">type</span> <span class="ident">ScalarKind</span> <span class="op">=</span> <span class="ident">BaseFieldElem</span>;
<span class="kw">type</span> <span class="ident">FixedScalarKind</span> <span class="op">=</span> <span class="ident">BaseFieldElem</span>;
<span class="kw">fn</span> <span class="ident">generator</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="ident">pallas::Affine</span> {
<span class="kw-2">*</span><span class="ident">BASE</span>
@ -1452,7 +1534,7 @@
}
<span class="kw">impl</span> <span class="ident">FixedPoint</span><span class="op">&lt;</span><span class="ident">pallas::Affine</span><span class="op">&gt;</span> <span class="kw">for</span> <span class="ident">Short</span> {
<span class="kw">type</span> <span class="ident">ScalarKind</span> <span class="op">=</span> <span class="ident">ShortScalar</span>;
<span class="kw">type</span> <span class="ident">FixedScalarKind</span> <span class="op">=</span> <span class="ident">ShortScalar</span>;
<span class="kw">fn</span> <span class="ident">generator</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="ident">pallas::Affine</span> {
<span class="kw-2">*</span><span class="ident">BASE</span>

View File

@ -544,9 +544,62 @@
<span id="524">524</span>
<span id="525">525</span>
<span id="526">526</span>
<span id="527">527</span>
<span id="528">528</span>
<span id="529">529</span>
<span id="530">530</span>
<span id="531">531</span>
<span id="532">532</span>
<span id="533">533</span>
<span id="534">534</span>
<span id="535">535</span>
<span id="536">536</span>
<span id="537">537</span>
<span id="538">538</span>
<span id="539">539</span>
<span id="540">540</span>
<span id="541">541</span>
<span id="542">542</span>
<span id="543">543</span>
<span id="544">544</span>
<span id="545">545</span>
<span id="546">546</span>
<span id="547">547</span>
<span id="548">548</span>
<span id="549">549</span>
<span id="550">550</span>
<span id="551">551</span>
<span id="552">552</span>
<span id="553">553</span>
<span id="554">554</span>
<span id="555">555</span>
<span id="556">556</span>
<span id="557">557</span>
<span id="558">558</span>
<span id="559">559</span>
<span id="560">560</span>
<span id="561">561</span>
<span id="562">562</span>
<span id="563">563</span>
<span id="564">564</span>
<span id="565">565</span>
<span id="566">566</span>
<span id="567">567</span>
<span id="568">568</span>
<span id="569">569</span>
<span id="570">570</span>
<span id="571">571</span>
<span id="572">572</span>
<span id="573">573</span>
<span id="574">574</span>
<span id="575">575</span>
<span id="576">576</span>
<span id="577">577</span>
<span id="578">578</span>
<span id="579">579</span>
</pre><pre class="rust"><code><span class="doccomment">//! Chip implementations for the ECC gadgets.</span>
<span class="kw">use</span> <span class="kw">super</span>::{<span class="ident">EccInstructions</span>, <span class="ident">FixedPoints</span>};
<span class="kw">use</span> <span class="kw">super</span>::{<span class="ident">BaseFitsInScalarInstructions</span>, <span class="ident">EccInstructions</span>, <span class="ident">FixedPoints</span>};
<span class="kw">use</span> <span class="kw">crate</span>::{
<span class="ident">primitives::sinsemilla</span>,
<span class="ident">utilities</span>::{<span class="ident">lookup_range_check::LookupRangeCheckConfig</span>, <span class="ident">UtilitiesInstructions</span>},
@ -709,7 +762,7 @@
<span class="doccomment">/// A trait representing the kind of scalar used with a particular `FixedPoint`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// This trait exists because of limitations around const generics.</span>
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">ScalarKind</span> {
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">FixedScalarKind</span> {
<span class="doccomment">/// The number of windows that this scalar kind requires.</span>
<span class="kw">const</span> <span class="ident">NUM_WINDOWS</span>: <span class="ident">usize</span>;
}
@ -718,7 +771,7 @@
<span class="doccomment">/// multiplication.</span>
<span class="attribute">#[<span class="ident">derive</span>(<span class="ident">Debug</span>)]</span>
<span class="kw">pub</span> <span class="kw">enum</span> <span class="ident">FullScalar</span> {}
<span class="kw">impl</span> <span class="ident">ScalarKind</span> <span class="kw">for</span> <span class="ident">FullScalar</span> {
<span class="kw">impl</span> <span class="ident">FixedScalarKind</span> <span class="kw">for</span> <span class="ident">FullScalar</span> {
<span class="kw">const</span> <span class="ident">NUM_WINDOWS</span>: <span class="ident">usize</span> <span class="op">=</span> <span class="ident">NUM_WINDOWS</span>;
}
@ -726,7 +779,7 @@
<span class="doccomment">/// multiplication.</span>
<span class="attribute">#[<span class="ident">derive</span>(<span class="ident">Debug</span>)]</span>
<span class="kw">pub</span> <span class="kw">enum</span> <span class="ident">ShortScalar</span> {}
<span class="kw">impl</span> <span class="ident">ScalarKind</span> <span class="kw">for</span> <span class="ident">ShortScalar</span> {
<span class="kw">impl</span> <span class="ident">FixedScalarKind</span> <span class="kw">for</span> <span class="ident">ShortScalar</span> {
<span class="kw">const</span> <span class="ident">NUM_WINDOWS</span>: <span class="ident">usize</span> <span class="op">=</span> <span class="ident">NUM_WINDOWS_SHORT</span>;
}
@ -734,13 +787,13 @@
<span class="doccomment">/// scalar multiplication.</span>
<span class="attribute">#[<span class="ident">derive</span>(<span class="ident">Debug</span>)]</span>
<span class="kw">pub</span> <span class="kw">enum</span> <span class="ident">BaseFieldElem</span> {}
<span class="kw">impl</span> <span class="ident">ScalarKind</span> <span class="kw">for</span> <span class="ident">BaseFieldElem</span> {
<span class="kw">impl</span> <span class="ident">FixedScalarKind</span> <span class="kw">for</span> <span class="ident">BaseFieldElem</span> {
<span class="kw">const</span> <span class="ident">NUM_WINDOWS</span>: <span class="ident">usize</span> <span class="op">=</span> <span class="ident">NUM_WINDOWS</span>;
}
<span class="doccomment">/// Returns information about a fixed point that is required by [`EccChip`].</span>
<span class="doccomment">///</span>
<span class="doccomment">/// For each window required by `Self::ScalarKind`, $z$ is a field element such that for</span>
<span class="doccomment">/// For each window required by `Self::FixedScalarKind`, $z$ is a field element such that for</span>
<span class="doccomment">/// each point $(x, y)$ in the window:</span>
<span class="doccomment">/// - $z + y = u^2$ (some square in the field); and</span>
<span class="doccomment">/// - $z - y$ is not a square.</span>
@ -750,7 +803,7 @@
<span class="doccomment">/// arrays instead of `Vec`s.</span>
<span class="kw">pub</span> <span class="kw">trait</span> <span class="ident">FixedPoint</span><span class="op">&lt;</span><span class="ident">C</span>: <span class="ident">CurveAffine</span><span class="op">&gt;</span>: <span class="ident">std::fmt::Debug</span> <span class="op">+</span> <span class="ident">Eq</span> <span class="op">+</span> <span class="ident">Clone</span> {
<span class="doccomment">/// The kind of scalar that this fixed point can be multiplied by.</span>
<span class="kw">type</span> <span class="ident">ScalarKind</span>: <span class="ident">ScalarKind</span>;
<span class="kw">type</span> <span class="ident">FixedScalarKind</span>: <span class="ident">FixedScalarKind</span>;
<span class="doccomment">/// Returns the generator for this fixed point.</span>
<span class="kw">fn</span> <span class="ident">generator</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="ident">C</span>;
@ -763,7 +816,7 @@
<span class="doccomment">/// Returns the Lagrange coefficients for this fixed point.</span>
<span class="kw">fn</span> <span class="ident">lagrange_coeffs</span>(<span class="kw-2">&amp;</span><span class="self">self</span>) -&gt; <span class="ident">Vec</span><span class="op">&lt;</span>[<span class="ident">C::Base</span>; <span class="ident">H</span>]<span class="op">&gt;</span> {
<span class="ident">compute_lagrange_coeffs</span>(<span class="self">self</span>.<span class="ident">generator</span>(), <span class="ident"><span class="self">Self</span>::ScalarKind::NUM_WINDOWS</span>)
<span class="ident">compute_lagrange_coeffs</span>(<span class="self">self</span>.<span class="ident">generator</span>(), <span class="ident"><span class="self">Self</span>::FixedScalarKind::NUM_WINDOWS</span>)
}
}
@ -923,18 +976,38 @@
}
}
<span class="doccomment">/// An enumeration of the possible types of scalars used in variable-base</span>
<span class="doccomment">/// multiplication.</span>
<span class="attribute">#[<span class="ident">derive</span>(<span class="ident">Clone</span>, <span class="ident">Debug</span>)]</span>
<span class="kw">pub</span> <span class="kw">enum</span> <span class="ident">ScalarVar</span> {
<span class="doccomment">/// An element of the elliptic curve&#39;s base field, that is used as a scalar</span>
<span class="doccomment">/// in variable-base scalar mul.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// It is not true in general that a scalar field element fits in a curve&#39;s</span>
<span class="doccomment">/// base field, and in particular it is untrue for the Pallas curve, whose</span>
<span class="doccomment">/// scalar field `Fq` is larger than its base field `Fp`.</span>
<span class="doccomment">///</span>
<span class="doccomment">/// However, the only use of variable-base scalar mul in the Orchard protocol</span>
<span class="doccomment">/// is in deriving diversified addresses `[ivk] g_d`, and `ivk` is guaranteed</span>
<span class="doccomment">/// to be in the base field of the curve. (See non-normative notes in</span>
<span class="doccomment">/// https://zips.z.cash/protocol/nu5.pdf#orchardkeycomponents.)</span>
<span class="ident">BaseFieldElem</span>(<span class="ident">AssignedCell</span><span class="op">&lt;</span><span class="ident">pallas::Base</span>, <span class="ident">pallas::Base</span><span class="op">&gt;</span>),
<span class="doccomment">/// A full-width scalar. This is unimplemented for halo2_gadgets v0.1.0.</span>
<span class="ident">FullWidth</span>,
}
<span class="kw">impl</span><span class="op">&lt;</span><span class="ident">Fixed</span>: <span class="ident">FixedPoints</span><span class="op">&lt;</span><span class="ident">pallas::Affine</span><span class="op">&gt;</span><span class="op">&gt;</span> <span class="ident">EccInstructions</span><span class="op">&lt;</span><span class="ident">pallas::Affine</span><span class="op">&gt;</span> <span class="kw">for</span> <span class="ident">EccChip</span><span class="op">&lt;</span><span class="ident">Fixed</span><span class="op">&gt;</span>
<span class="kw">where</span>
<span class="op">&lt;</span><span class="ident">Fixed</span> <span class="kw">as</span> <span class="ident">FixedPoints</span><span class="op">&lt;</span><span class="ident">pallas::Affine</span><span class="op">&gt;</span><span class="op">&gt;</span><span class="ident">::Base</span>:
<span class="ident">FixedPoint</span><span class="op">&lt;</span><span class="ident">pallas::Affine</span>, <span class="ident">ScalarKind</span> <span class="op">=</span> <span class="ident">BaseFieldElem</span><span class="op">&gt;</span>,
<span class="ident">FixedPoint</span><span class="op">&lt;</span><span class="ident">pallas::Affine</span>, <span class="ident">FixedScalarKind</span> <span class="op">=</span> <span class="ident">BaseFieldElem</span><span class="op">&gt;</span>,
<span class="op">&lt;</span><span class="ident">Fixed</span> <span class="kw">as</span> <span class="ident">FixedPoints</span><span class="op">&lt;</span><span class="ident">pallas::Affine</span><span class="op">&gt;</span><span class="op">&gt;</span><span class="ident">::FullScalar</span>:
<span class="ident">FixedPoint</span><span class="op">&lt;</span><span class="ident">pallas::Affine</span>, <span class="ident">ScalarKind</span> <span class="op">=</span> <span class="ident">FullScalar</span><span class="op">&gt;</span>,
<span class="ident">FixedPoint</span><span class="op">&lt;</span><span class="ident">pallas::Affine</span>, <span class="ident">FixedScalarKind</span> <span class="op">=</span> <span class="ident">FullScalar</span><span class="op">&gt;</span>,
<span class="op">&lt;</span><span class="ident">Fixed</span> <span class="kw">as</span> <span class="ident">FixedPoints</span><span class="op">&lt;</span><span class="ident">pallas::Affine</span><span class="op">&gt;</span><span class="op">&gt;</span><span class="ident">::ShortScalar</span>:
<span class="ident">FixedPoint</span><span class="op">&lt;</span><span class="ident">pallas::Affine</span>, <span class="ident">ScalarKind</span> <span class="op">=</span> <span class="ident">ShortScalar</span><span class="op">&gt;</span>,
<span class="ident">FixedPoint</span><span class="op">&lt;</span><span class="ident">pallas::Affine</span>, <span class="ident">FixedScalarKind</span> <span class="op">=</span> <span class="ident">ShortScalar</span><span class="op">&gt;</span>,
{
<span class="kw">type</span> <span class="ident">ScalarFixed</span> <span class="op">=</span> <span class="ident">EccScalarFixed</span>;
<span class="kw">type</span> <span class="ident">ScalarFixedShort</span> <span class="op">=</span> <span class="ident">EccScalarFixedShort</span>;
<span class="kw">type</span> <span class="ident">ScalarVar</span> <span class="op">=</span> <span class="ident">AssignedCell</span><span class="op">&lt;</span><span class="ident">pallas::Base</span>, <span class="ident">pallas::Base</span><span class="op">&gt;</span>;
<span class="kw">type</span> <span class="ident">ScalarVar</span> <span class="op">=</span> <span class="ident">ScalarVar</span>;
<span class="kw">type</span> <span class="ident">Point</span> <span class="op">=</span> <span class="ident">EccPoint</span>;
<span class="kw">type</span> <span class="ident">NonIdentityPoint</span> <span class="op">=</span> <span class="ident">NonIdentityEccPoint</span>;
<span class="kw">type</span> <span class="ident">X</span> <span class="op">=</span> <span class="ident">AssignedCell</span><span class="op">&lt;</span><span class="ident">pallas::Base</span>, <span class="ident">pallas::Base</span><span class="op">&gt;</span>;
@ -981,6 +1054,15 @@
)
}
<span class="kw">fn</span> <span class="ident">witness_scalar_var</span>(
<span class="kw-2">&amp;</span><span class="self">self</span>,
<span class="ident">_layouter</span>: <span class="kw-2">&amp;mut</span> <span class="kw">impl</span> <span class="ident">Layouter</span><span class="op">&lt;</span><span class="ident">pallas::Base</span><span class="op">&gt;</span>,
<span class="ident">_value</span>: <span class="prelude-ty">Option</span><span class="op">&lt;</span><span class="ident">pallas::Scalar</span><span class="op">&gt;</span>,
) -&gt; <span class="prelude-ty">Result</span><span class="op">&lt;</span><span class="ident"><span class="self">Self</span>::ScalarVar</span>, <span class="ident">Error</span><span class="op">&gt;</span> {
<span class="comment">// This is unimplemented for halo2_gadgets v0.1.0.</span>
<span class="macro">todo!</span>()
}
<span class="kw">fn</span> <span class="ident">extract_p</span><span class="op">&lt;</span><span class="ident">Point</span>: <span class="ident">Into</span><span class="op">&lt;</span><span class="ident"><span class="self">Self</span>::Point</span><span class="op">&gt;</span> <span class="op">+</span> <span class="ident">Clone</span><span class="op">&gt;</span>(<span class="ident">point</span>: <span class="kw-2">&amp;</span><span class="ident">Point</span>) -&gt; <span class="ident"><span class="self">Self</span>::X</span> {
<span class="kw">let</span> <span class="ident">point</span>: <span class="ident">EccPoint</span> <span class="op">=</span> (<span class="ident">point</span>.<span class="ident">clone</span>()).<span class="ident">into</span>();
<span class="ident">point</span>.<span class="ident">x</span>()
@ -1017,15 +1099,20 @@
<span class="kw">fn</span> <span class="ident">mul</span>(
<span class="kw-2">&amp;</span><span class="self">self</span>,
<span class="ident">layouter</span>: <span class="kw-2">&amp;mut</span> <span class="kw">impl</span> <span class="ident">Layouter</span><span class="op">&lt;</span><span class="ident">pallas::Base</span><span class="op">&gt;</span>,
<span class="ident">scalar</span>: <span class="kw-2">&amp;</span><span class="ident"><span class="self">Self</span>::Var</span>,
<span class="ident">scalar</span>: <span class="kw-2">&amp;</span><span class="ident"><span class="self">Self</span>::ScalarVar</span>,
<span class="ident">base</span>: <span class="kw-2">&amp;</span><span class="ident"><span class="self">Self</span>::NonIdentityPoint</span>,
) -&gt; <span class="prelude-ty">Result</span><span class="op">&lt;</span>(<span class="ident"><span class="self">Self</span>::Point</span>, <span class="ident"><span class="self">Self</span>::ScalarVar</span>), <span class="ident">Error</span><span class="op">&gt;</span> {
<span class="kw">let</span> <span class="ident">config</span> <span class="op">=</span> <span class="self">self</span>.<span class="ident">config</span>().<span class="ident">mul</span>;
<span class="ident">config</span>.<span class="ident">assign</span>(
<span class="ident">layouter</span>.<span class="ident">namespace</span>(<span class="op">|</span><span class="op">|</span> <span class="string">&quot;variable-base scalar mul&quot;</span>),
<span class="ident">scalar</span>.<span class="ident">clone</span>(),
<span class="ident">base</span>,
)
<span class="kw">match</span> <span class="ident">scalar</span> {
<span class="ident">ScalarVar::BaseFieldElem</span>(<span class="ident">scalar</span>) =&gt; <span class="ident">config</span>.<span class="ident">assign</span>(
<span class="ident">layouter</span>.<span class="ident">namespace</span>(<span class="op">|</span><span class="op">|</span> <span class="string">&quot;variable-base scalar mul&quot;</span>),
<span class="ident">scalar</span>.<span class="ident">clone</span>(),
<span class="ident">base</span>,
),
<span class="ident">ScalarVar::FullWidth</span> =&gt; {
<span class="macro">todo!</span>()
}
}
}
<span class="kw">fn</span> <span class="ident">mul_fixed</span>(
@ -1070,6 +1157,25 @@
)
}
}
<span class="kw">impl</span><span class="op">&lt;</span><span class="ident">Fixed</span>: <span class="ident">FixedPoints</span><span class="op">&lt;</span><span class="ident">pallas::Affine</span><span class="op">&gt;</span><span class="op">&gt;</span> <span class="ident">BaseFitsInScalarInstructions</span><span class="op">&lt;</span><span class="ident">pallas::Affine</span><span class="op">&gt;</span>
<span class="kw">for</span> <span class="ident">EccChip</span><span class="op">&lt;</span><span class="ident">Fixed</span><span class="op">&gt;</span>
<span class="kw">where</span>
<span class="op">&lt;</span><span class="ident">Fixed</span> <span class="kw">as</span> <span class="ident">FixedPoints</span><span class="op">&lt;</span><span class="ident">pallas::Affine</span><span class="op">&gt;</span><span class="op">&gt;</span><span class="ident">::Base</span>:
<span class="ident">FixedPoint</span><span class="op">&lt;</span><span class="ident">pallas::Affine</span>, <span class="ident">FixedScalarKind</span> <span class="op">=</span> <span class="ident">BaseFieldElem</span><span class="op">&gt;</span>,
<span class="op">&lt;</span><span class="ident">Fixed</span> <span class="kw">as</span> <span class="ident">FixedPoints</span><span class="op">&lt;</span><span class="ident">pallas::Affine</span><span class="op">&gt;</span><span class="op">&gt;</span><span class="ident">::FullScalar</span>:
<span class="ident">FixedPoint</span><span class="op">&lt;</span><span class="ident">pallas::Affine</span>, <span class="ident">FixedScalarKind</span> <span class="op">=</span> <span class="ident">FullScalar</span><span class="op">&gt;</span>,
<span class="op">&lt;</span><span class="ident">Fixed</span> <span class="kw">as</span> <span class="ident">FixedPoints</span><span class="op">&lt;</span><span class="ident">pallas::Affine</span><span class="op">&gt;</span><span class="op">&gt;</span><span class="ident">::ShortScalar</span>:
<span class="ident">FixedPoint</span><span class="op">&lt;</span><span class="ident">pallas::Affine</span>, <span class="ident">FixedScalarKind</span> <span class="op">=</span> <span class="ident">ShortScalar</span><span class="op">&gt;</span>,
{
<span class="kw">fn</span> <span class="ident">scalar_var_from_base</span>(
<span class="kw-2">&amp;</span><span class="self">self</span>,
<span class="ident">_layouter</span>: <span class="kw-2">&amp;mut</span> <span class="kw">impl</span> <span class="ident">Layouter</span><span class="op">&lt;</span><span class="ident">pallas::Base</span><span class="op">&gt;</span>,
<span class="ident">base</span>: <span class="kw-2">&amp;</span><span class="ident"><span class="self">Self</span>::Var</span>,
) -&gt; <span class="prelude-ty">Result</span><span class="op">&lt;</span><span class="ident"><span class="self">Self</span>::ScalarVar</span>, <span class="ident">Error</span><span class="op">&gt;</span> {
<span class="prelude-val">Ok</span>(<span class="ident">ScalarVar::BaseFieldElem</span>(<span class="ident">base</span>.<span class="ident">clone</span>()))
}
}
</code></pre></div>
</section></div></main><div id="rustdoc-vars" data-root-path="../../../" data-current-crate="halo2_gadgets" data-themes="ayu,dark,light" data-resource-suffix="" data-rustdoc-version="1.62.0-nightly (30f386087 2022-05-05)" ></div>
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View File

@ -590,7 +590,22 @@
<span id="570">570</span>
<span id="571">571</span>
<span id="572">572</span>
</pre><pre class="rust"><code><span class="kw">use</span> <span class="kw">super</span>::{<span class="ident">add</span>, <span class="ident">EccPoint</span>, <span class="ident">NonIdentityEccPoint</span>, <span class="ident">T_Q</span>};
<span id="573">573</span>
<span id="574">574</span>
<span id="575">575</span>
<span id="576">576</span>
<span id="577">577</span>
<span id="578">578</span>
<span id="579">579</span>
<span id="580">580</span>
<span id="581">581</span>
<span id="582">582</span>
<span id="583">583</span>
<span id="584">584</span>
<span id="585">585</span>
<span id="586">586</span>
<span id="587">587</span>
</pre><pre class="rust"><code><span class="kw">use</span> <span class="kw">super</span>::{<span class="ident">add</span>, <span class="ident">EccPoint</span>, <span class="ident">NonIdentityEccPoint</span>, <span class="ident">ScalarVar</span>, <span class="ident">T_Q</span>};
<span class="kw">use</span> <span class="kw">crate</span>::{
<span class="ident">primitives::sinsemilla</span>,
<span class="ident">utilities</span>::{<span class="ident">bool_check</span>, <span class="ident">lookup_range_check::LookupRangeCheckConfig</span>, <span class="ident">ternary</span>},
@ -759,7 +774,7 @@
<span class="kw-2">mut</span> <span class="ident">layouter</span>: <span class="kw">impl</span> <span class="ident">Layouter</span><span class="op">&lt;</span><span class="ident">pallas::Base</span><span class="op">&gt;</span>,
<span class="ident">alpha</span>: <span class="ident">AssignedCell</span><span class="op">&lt;</span><span class="ident">pallas::Base</span>, <span class="ident">pallas::Base</span><span class="op">&gt;</span>,
<span class="ident">base</span>: <span class="kw-2">&amp;</span><span class="ident">NonIdentityEccPoint</span>,
) -&gt; <span class="prelude-ty">Result</span><span class="op">&lt;</span>(<span class="ident">EccPoint</span>, <span class="ident">AssignedCell</span><span class="op">&lt;</span><span class="ident">pallas::Base</span>, <span class="ident">pallas::Base</span><span class="op">&gt;</span>), <span class="ident">Error</span><span class="op">&gt;</span> {
) -&gt; <span class="prelude-ty">Result</span><span class="op">&lt;</span>(<span class="ident">EccPoint</span>, <span class="ident">ScalarVar</span>), <span class="ident">Error</span><span class="op">&gt;</span> {
<span class="kw">let</span> (<span class="ident">result</span>, <span class="ident">zs</span>): (<span class="ident">EccPoint</span>, <span class="ident">Vec</span><span class="op">&lt;</span><span class="ident">Z</span><span class="op">&lt;</span><span class="ident">pallas::Base</span><span class="op">&gt;</span><span class="op">&gt;</span>) <span class="op">=</span> <span class="ident">layouter</span>.<span class="ident">assign_region</span>(
<span class="op">|</span><span class="op">|</span> <span class="string">&quot;variable-base scalar mul&quot;</span>,
<span class="op">|</span><span class="kw-2">mut</span> <span class="ident">region</span><span class="op">|</span> {
@ -885,7 +900,7 @@
<span class="kw-2">&amp;</span><span class="ident">zs</span>,
)<span class="question-mark">?</span>;
<span class="prelude-val">Ok</span>((<span class="ident">result</span>, <span class="ident">alpha</span>))
<span class="prelude-val">Ok</span>((<span class="ident">result</span>, <span class="ident">ScalarVar::BaseFieldElem</span>(<span class="ident">alpha</span>)))
}
<span class="doccomment">/// Processes the final scalar bit `k_0`.</span>
@ -1075,7 +1090,7 @@
<span class="ident">ecc</span>::{
<span class="ident">chip</span>::{<span class="ident">EccChip</span>, <span class="ident">EccPoint</span>},
<span class="ident">tests::TestFixedBases</span>,
<span class="ident">EccInstructions</span>, <span class="ident">NonIdentityPoint</span>, <span class="ident">Point</span>,
<span class="ident">EccInstructions</span>, <span class="ident">NonIdentityPoint</span>, <span class="ident">Point</span>, <span class="ident">ScalarVar</span>,
},
<span class="ident">utilities::UtilitiesInstructions</span>,
};
@ -1117,7 +1132,12 @@
<span class="ident">column</span>,
<span class="prelude-val">Some</span>(<span class="ident">scalar_val</span>),
)<span class="question-mark">?</span>;
<span class="ident">p</span>.<span class="ident">mul</span>(<span class="ident">layouter</span>.<span class="ident">namespace</span>(<span class="op">|</span><span class="op">|</span> <span class="string">&quot;random [a]B&quot;</span>), <span class="kw-2">&amp;</span><span class="ident">scalar</span>)<span class="question-mark">?</span>
<span class="kw">let</span> <span class="ident">scalar</span> <span class="op">=</span> <span class="ident">ScalarVar::from_base</span>(
<span class="ident">chip</span>.<span class="ident">clone</span>(),
<span class="ident">layouter</span>.<span class="ident">namespace</span>(<span class="op">|</span><span class="op">|</span> <span class="string">&quot;ScalarVar from_base&quot;</span>),
<span class="kw-2">&amp;</span><span class="ident">scalar</span>,
)<span class="question-mark">?</span>;
<span class="ident">p</span>.<span class="ident">mul</span>(<span class="ident">layouter</span>.<span class="ident">namespace</span>(<span class="op">|</span><span class="op">|</span> <span class="string">&quot;random [a]B&quot;</span>), <span class="ident">scalar</span>)<span class="question-mark">?</span>
};
<span class="ident">constrain_equal_non_id</span>(
<span class="ident">chip</span>.<span class="ident">clone</span>(),
@ -1135,7 +1155,12 @@
<span class="kw">let</span> (<span class="ident">result</span>, <span class="kw">_</span>) <span class="op">=</span> {
<span class="kw">let</span> <span class="ident">scalar</span> <span class="op">=</span>
<span class="ident">chip</span>.<span class="ident">load_private</span>(<span class="ident">layouter</span>.<span class="ident">namespace</span>(<span class="op">|</span><span class="op">|</span> <span class="string">&quot;zero&quot;</span>), <span class="ident">column</span>, <span class="prelude-val">Some</span>(<span class="ident">scalar_val</span>))<span class="question-mark">?</span>;
<span class="ident">p</span>.<span class="ident">mul</span>(<span class="ident">layouter</span>.<span class="ident">namespace</span>(<span class="op">|</span><span class="op">|</span> <span class="string">&quot;[0]B&quot;</span>), <span class="kw-2">&amp;</span><span class="ident">scalar</span>)<span class="question-mark">?</span>
<span class="kw">let</span> <span class="ident">scalar</span> <span class="op">=</span> <span class="ident">ScalarVar::from_base</span>(
<span class="ident">chip</span>.<span class="ident">clone</span>(),
<span class="ident">layouter</span>.<span class="ident">namespace</span>(<span class="op">|</span><span class="op">|</span> <span class="string">&quot;ScalarVar from_base&quot;</span>),
<span class="kw-2">&amp;</span><span class="ident">scalar</span>,
)<span class="question-mark">?</span>;
<span class="ident">p</span>.<span class="ident">mul</span>(<span class="ident">layouter</span>.<span class="ident">namespace</span>(<span class="op">|</span><span class="op">|</span> <span class="string">&quot;[0]B&quot;</span>), <span class="ident">scalar</span>)<span class="question-mark">?</span>
};
<span class="kw">if</span> <span class="kw">let</span> <span class="prelude-val">Some</span>(<span class="ident">is_identity</span>) <span class="op">=</span> <span class="ident">result</span>.<span class="ident">inner</span>().<span class="ident">is_identity</span>() {
<span class="macro">assert!</span>(<span class="ident">is_identity</span>);
@ -1148,7 +1173,12 @@
<span class="kw">let</span> (<span class="ident">result</span>, <span class="kw">_</span>) <span class="op">=</span> {
<span class="kw">let</span> <span class="ident">scalar</span> <span class="op">=</span>
<span class="ident">chip</span>.<span class="ident">load_private</span>(<span class="ident">layouter</span>.<span class="ident">namespace</span>(<span class="op">|</span><span class="op">|</span> <span class="string">&quot;-1&quot;</span>), <span class="ident">column</span>, <span class="prelude-val">Some</span>(<span class="ident">scalar_val</span>))<span class="question-mark">?</span>;
<span class="ident">p</span>.<span class="ident">mul</span>(<span class="ident">layouter</span>.<span class="ident">namespace</span>(<span class="op">|</span><span class="op">|</span> <span class="string">&quot;[-1]B&quot;</span>), <span class="kw-2">&amp;</span><span class="ident">scalar</span>)<span class="question-mark">?</span>
<span class="kw">let</span> <span class="ident">scalar</span> <span class="op">=</span> <span class="ident">ScalarVar::from_base</span>(
<span class="ident">chip</span>.<span class="ident">clone</span>(),
<span class="ident">layouter</span>.<span class="ident">namespace</span>(<span class="op">|</span><span class="op">|</span> <span class="string">&quot;ScalarVar from_base&quot;</span>),
<span class="kw-2">&amp;</span><span class="ident">scalar</span>,
)<span class="question-mark">?</span>;
<span class="ident">p</span>.<span class="ident">mul</span>(<span class="ident">layouter</span>.<span class="ident">namespace</span>(<span class="op">|</span><span class="op">|</span> <span class="string">&quot;[-1]B&quot;</span>), <span class="ident">scalar</span>)<span class="question-mark">?</span>
};
<span class="ident">constrain_equal_non_id</span>(
<span class="ident">chip</span>,