add halo2 Benchmark (cargo) benchmark result for 7df93fd855

book.js

@@ -68,7 +68,7 @@ function playground_text(playground, hidden = true) {
     }
 
     // updates the visibility of play button based on `no_run` class and
-    // used crates vs ones available on http://play.rust-lang.org
+    // used crates vs ones available on https://play.rust-lang.org
     function update_play_button(pre_block, playground_crates) {
         var play_button = pre_block.querySelector(".play-button");
 
@@ -179,7 +179,7 @@ function playground_text(playground, hidden = true) {
     // even if highlighting doesn't apply
     code_nodes.forEach(function (block) { block.classList.add('hljs'); });
 
-    Array.from(document.querySelectorAll("code.language-rust")).forEach(function (block) {
+    Array.from(document.querySelectorAll("code.hljs")).forEach(function (block) {
 
         var lines = Array.from(block.querySelectorAll('.boring'));
         // If no lines were hidden, return
@@ -346,7 +346,7 @@ function playground_text(playground, hidden = true) {
         }
 
         setTimeout(function () {
-            themeColorMetaTag.content = getComputedStyle(document.body).backgroundColor;
+            themeColorMetaTag.content = getComputedStyle(document.documentElement).backgroundColor;
         }, 1);
 
         if (window.ace && window.editors) {
@@ -441,7 +441,7 @@ function playground_text(playground, hidden = true) {
 })();
 
 (function sidebar() {
-    var html = document.querySelector("html");
+    var body = document.querySelector("body");
     var sidebar = document.getElementById("sidebar");
     var sidebarLinks = document.querySelectorAll('#sidebar a');
     var sidebarToggleButton = document.getElementById("sidebar-toggle");
@@ -449,8 +449,8 @@ function playground_text(playground, hidden = true) {
     var firstContact = null;
 
     function showSidebar() {
-        html.classList.remove('sidebar-hidden')
-        html.classList.add('sidebar-visible');
+        body.classList.remove('sidebar-hidden')
+        body.classList.add('sidebar-visible');
         Array.from(sidebarLinks).forEach(function (link) {
             link.setAttribute('tabIndex', 0);
         });
@@ -471,8 +471,8 @@ function playground_text(playground, hidden = true) {
     });
 
     function hideSidebar() {
-        html.classList.remove('sidebar-visible')
-        html.classList.add('sidebar-hidden');
+        body.classList.remove('sidebar-visible')
+        body.classList.add('sidebar-hidden');
         Array.from(sidebarLinks).forEach(function (link) {
             link.setAttribute('tabIndex', -1);
         });
@@ -483,14 +483,14 @@ function playground_text(playground, hidden = true) {
 
     // Toggle sidebar
     sidebarToggleButton.addEventListener('click', function sidebarToggle() {
-        if (html.classList.contains("sidebar-hidden")) {
+        if (body.classList.contains("sidebar-hidden")) {
             var current_width = parseInt(
                 document.documentElement.style.getPropertyValue('--sidebar-width'), 10);
             if (current_width < 150) {
                 document.documentElement.style.setProperty('--sidebar-width', '150px');
             }
             showSidebar();
-        } else if (html.classList.contains("sidebar-visible")) {
+        } else if (body.classList.contains("sidebar-visible")) {
             hideSidebar();
         } else {
             if (getComputedStyle(sidebar)['transform'] === 'none') {
@@ -506,14 +506,14 @@ function playground_text(playground, hidden = true) {
     function initResize(e) {
         window.addEventListener('mousemove', resize, false);
         window.addEventListener('mouseup', stopResize, false);
-        html.classList.add('sidebar-resizing');
+        body.classList.add('sidebar-resizing');
     }
     function resize(e) {
         var pos = (e.clientX - sidebar.offsetLeft);
         if (pos < 20) {
             hideSidebar();
         } else {
-            if (html.classList.contains("sidebar-hidden")) {
+            if (body.classList.contains("sidebar-hidden")) {
                 showSidebar();
             }
             pos = Math.min(pos, window.innerWidth - 100);
@@ -522,7 +522,7 @@ function playground_text(playground, hidden = true) {
     }
     //on mouseup remove windows functions mousemove & mouseup
     function stopResize(e) {
-        html.classList.remove('sidebar-resizing');
+        body.classList.remove('sidebar-resizing');
         window.removeEventListener('mousemove', resize, false);
         window.removeEventListener('mouseup', stopResize, false);
     }
@@ -551,33 +551,41 @@ function playground_text(playground, hidden = true) {
             firstContact = null;
         }
     }, { passive: true });
-
-    // Scroll sidebar to current active section
-    var activeSection = document.getElementById("sidebar").querySelector(".active");
-    if (activeSection) {
-        // https://developer.mozilla.org/en-US/docs/Web/API/Element/scrollIntoView
-        activeSection.scrollIntoView({ block: 'center' });
-    }
 })();
 
 (function chapterNavigation() {
     document.addEventListener('keydown', function (e) {
         if (e.altKey || e.ctrlKey || e.metaKey || e.shiftKey) { return; }
         if (window.search && window.search.hasFocus()) { return; }
+        var html = document.querySelector('html');
 
+        function next() {
+            var nextButton = document.querySelector('.nav-chapters.next');
+            if (nextButton) {
+                window.location.href = nextButton.href;
+            }
+        }
+        function prev() {
+            var previousButton = document.querySelector('.nav-chapters.previous');
+            if (previousButton) {
+                window.location.href = previousButton.href;
+            }
+        }
         switch (e.key) {
             case 'ArrowRight':
                 e.preventDefault();
-                var nextButton = document.querySelector('.nav-chapters.next');
-                if (nextButton) {
-                    window.location.href = nextButton.href;
+                if (html.dir == 'rtl') {
+                    prev();
+                } else {
+                    next();
                 }
                 break;
             case 'ArrowLeft':
                 e.preventDefault();
-                var previousButton = document.querySelector('.nav-chapters.previous');
-                if (previousButton) {
-                    window.location.href = previousButton.href;
+                if (html.dir == 'rtl') {
+                    next();
+                } else {
+                    prev();
                 }
                 break;
         }
@@ -676,13 +684,14 @@ function playground_text(playground, hidden = true) {
         }, { passive: true });
     })();
     (function controllBorder() {
-        menu.classList.remove('bordered');
-        document.addEventListener('scroll', function () {
+        function updateBorder() {
             if (menu.offsetTop === 0) {
                 menu.classList.remove('bordered');
             } else {
                 menu.classList.add('bordered');
             }
-        }, { passive: true });
+        }
+        updateBorder();
+        document.addEventListener('scroll', updateBorder, { passive: true });
     })();
 })();

css/chrome.css

@@ -2,12 +2,6 @@
 
 @import 'variables.css';
 
-::-webkit-scrollbar {
-    background: var(--bg);
-}
-::-webkit-scrollbar-thumb {
-    background: var(--scrollbar);
-}
 html {
     scrollbar-color: var(--scrollbar) var(--bg);
 }
@@ -18,6 +12,19 @@ a > .hljs {
     color: var(--links);
 }
 
+/*
+    body-container is necessary because mobile browsers don't seem to like
+    overflow-x on the body tag when there is a <meta name="viewport"> tag.
+*/
+#body-container {
+    /*
+        This is used when the sidebar pushes the body content off the side of
+        the screen on small screens. Without it, dragging on mobile Safari
+        will want to reposition the viewport in a weird way.
+    */
+    overflow-x: clip;
+}
+
 /* Menu Bar */
 
 #menu-bar,
@@ -30,9 +37,9 @@ a > .hljs {
     display: flex;
     flex-wrap: wrap;
     background-color: var(--bg);
-    border-bottom-color: var(--bg);
-    border-bottom-width: 1px;
-    border-bottom-style: solid;
+    border-block-end-color: var(--bg);
+    border-block-end-width: 1px;
+    border-block-end-style: solid;
 }
 #menu-bar.sticky,
 .js #menu-bar-hover-placeholder:hover + #menu-bar,
@@ -49,7 +56,7 @@ a > .hljs {
     height: var(--menu-bar-height);
 }
 #menu-bar.bordered {
-    border-bottom-color: var(--table-border-color);
+    border-block-end-color: var(--table-border-color);
 }
 #menu-bar i, #menu-bar .icon-button {
     position: relative;
@@ -86,7 +93,7 @@ a > .hljs {
     display: flex;
     margin: 0 5px;
 }
-.no-js .left-buttons {
+.no-js .left-buttons button {
     display: none;
 }
 
@@ -153,7 +160,7 @@ a > .hljs {
 }
 
 .nav-wrapper {
-    margin-top: 50px;
+    margin-block-start: 50px;
     display: none;
 }
 
@@ -166,23 +173,34 @@ a > .hljs {
     background-color: var(--sidebar-bg);
 }
 
-.previous {
-    float: left;
-}
+/* Only Firefox supports flow-relative values */
+.previous { float: left; }
+[dir=rtl] .previous { float: right; }
 
+/* Only Firefox supports flow-relative values */
 .next {
     float: right;
     right: var(--page-padding);
 }
+[dir=rtl] .next {
+    float: left;
+    right: unset;
+    left: var(--page-padding);
+}
+
+/* Use the correct buttons for RTL layouts*/
+[dir=rtl] .previous i.fa-angle-left:before {content:"\f105";}
+[dir=rtl] .next i.fa-angle-right:before { content:"\f104"; }
 
 @media only screen and (max-width: 1080px) {
     .nav-wide-wrapper { display: none; }
     .nav-wrapper { display: block; }
 }
 
+/* sidebar-visible */
 @media only screen and (max-width: 1380px) {
-    .sidebar-visible .nav-wide-wrapper { display: none; }
-    .sidebar-visible .nav-wrapper { display: block; }
+    #sidebar-toggle-anchor:checked ~ .page-wrapper .nav-wide-wrapper { display: none; }
+    #sidebar-toggle-anchor:checked ~ .page-wrapper .nav-wrapper { display: block; }
 }
 
 /* Inline code */
@@ -229,7 +247,7 @@ pre > .buttons :hover {
     background-color: var(--theme-hover);
 }
 pre > .buttons i {
-    margin-left: 8px;
+    margin-inline-start: 8px;
 }
 pre > .buttons button {
     cursor: inherit;
@@ -251,8 +269,14 @@ pre > .buttons button {
         /* On mobile, make it easier to tap buttons. */
         padding: 0.3rem 1rem;
     }
+
+    .sidebar-resize-indicator {
+        /* Hide resize indicator on devices with limited accuracy */
+        display: none;
+    }
 }
 pre > code {
+    display: block;
     padding: 1rem;
 }
 
@@ -266,7 +290,7 @@ pre > code {
 }
 
 pre > .result {
-    margin-top: 10px;
+    margin-block-start: 10px;
 }
 
 /* Search */
@@ -277,8 +301,14 @@ pre > .result {
 
 mark {
     border-radius: 2px;
-    padding: 0 3px 1px 3px;
-    margin: 0 -3px -1px -3px;
+    padding-block-start: 0;
+    padding-block-end: 1px;
+    padding-inline-start: 3px;
+    padding-inline-end: 3px;
+    margin-block-start: 0;
+    margin-block-end: -1px;
+    margin-inline-start: -3px;
+    margin-inline-end: -3px;
     background-color: var(--search-mark-bg);
     transition: background-color 300ms linear;
     cursor: pointer;
@@ -290,14 +320,17 @@ mark.fade-out {
 }
 
 .searchbar-outer {
-    margin-left: auto;
-    margin-right: auto;
+    margin-inline-start: auto;
+    margin-inline-end: auto;
     max-width: var(--content-max-width);
 }
 
 #searchbar {
     width: 100%;
-    margin: 5px auto 0px auto;
+    margin-block-start: 5px;
+    margin-block-end: 0;
+    margin-inline-start: auto;
+    margin-inline-end: auto;
     padding: 10px 16px;
     transition: box-shadow 300ms ease-in-out;
     border: 1px solid var(--searchbar-border-color);
@@ -313,20 +346,23 @@ mark.fade-out {
 .searchresults-header {
     font-weight: bold;
     font-size: 1em;
-    padding: 18px 0 0 5px;
+    padding-block-start: 18px;
+    padding-block-end: 0;
+    padding-inline-start: 5px;
+    padding-inline-end: 0;
     color: var(--searchresults-header-fg);
 }
 
 .searchresults-outer {
-    margin-left: auto;
-    margin-right: auto;
+    margin-inline-start: auto;
+    margin-inline-end: auto;
     max-width: var(--content-max-width);
-    border-bottom: 1px dashed var(--searchresults-border-color);
+    border-block-end: 1px dashed var(--searchresults-border-color);
 }
 
 ul#searchresults {
     list-style: none;
-    padding-left: 20px;
+    padding-inline-start: 20px;
 }
 ul#searchresults li {
     margin: 10px 0px;
@@ -339,7 +375,10 @@ ul#searchresults li.focus {
 ul#searchresults span.teaser {
     display: block;
     clear: both;
-    margin: 5px 0 0 20px;
+    margin-block-start: 5px;
+    margin-block-end: 0;
+    margin-inline-start: 20px;
+    margin-inline-end: 0;
     font-size: 0.8em;
 }
 ul#searchresults span.teaser em {
@@ -362,12 +401,14 @@ ul#searchresults span.teaser em {
     background-color: var(--sidebar-bg);
     color: var(--sidebar-fg);
 }
+[dir=rtl] .sidebar { left: unset; right: 0; }
 .sidebar-resizing {
     -moz-user-select: none;
     -webkit-user-select: none;
     -ms-user-select: none;
     user-select: none;
 }
+.no-js .sidebar,
 .js:not(.sidebar-resizing) .sidebar {
     transition: transform 0.3s; /* Animation: slide away */
 }
@@ -387,16 +428,35 @@ ul#searchresults span.teaser em {
     position: absolute;
     cursor: col-resize;
     width: 0;
-    right: 0;
+    right: calc(var(--sidebar-resize-indicator-width) * -1);
     top: 0;
     bottom: 0;
+    display: flex;
+    align-items: center;
+}
+
+.sidebar-resize-handle .sidebar-resize-indicator {
+    width: 100%;
+    height: 12px;
+    background-color: var(--icons);
+    margin-inline-start: var(--sidebar-resize-indicator-space);
+}
+
+[dir=rtl] .sidebar .sidebar-resize-handle {
+    left: calc(var(--sidebar-resize-indicator-width) * -1);
+    right: unset;
 }
 .js .sidebar .sidebar-resize-handle {
     cursor: col-resize;
-    width: 5px;
+    width: calc(var(--sidebar-resize-indicator-width) - var(--sidebar-resize-indicator-space));
 }
-.sidebar-hidden .sidebar {
-    transform: translateX(calc(0px - var(--sidebar-width)));
+/* sidebar-hidden */
+#sidebar-toggle-anchor:not(:checked) ~ .sidebar {
+    transform: translateX(calc(0px - var(--sidebar-width) - var(--sidebar-resize-indicator-width)));
+    z-index: -1;
+}
+[dir=rtl] #sidebar-toggle-anchor:not(:checked) ~ .sidebar {
+    transform: translateX(calc(var(--sidebar-width) + var(--sidebar-resize-indicator-width)));
 }
 .sidebar::-webkit-scrollbar {
     background: var(--sidebar-bg);
@@ -405,19 +465,26 @@ ul#searchresults span.teaser em {
     background: var(--scrollbar);
 }
 
-.sidebar-visible .page-wrapper {
-    transform: translateX(var(--sidebar-width));
+/* sidebar-visible */
+#sidebar-toggle-anchor:checked ~ .page-wrapper {
+    transform: translateX(calc(var(--sidebar-width) + var(--sidebar-resize-indicator-width)));
+}
+[dir=rtl] #sidebar-toggle-anchor:checked ~ .page-wrapper {
+    transform: translateX(calc(0px - var(--sidebar-width) - var(--sidebar-resize-indicator-width)));
 }
 @media only screen and (min-width: 620px) {
-    .sidebar-visible .page-wrapper {
+    #sidebar-toggle-anchor:checked ~ .page-wrapper {
+        transform: none;
+        margin-inline-start: calc(var(--sidebar-width) + var(--sidebar-resize-indicator-width));
+    }
+    [dir=rtl] #sidebar-toggle-anchor:checked ~ .page-wrapper {
         transform: none;
-        margin-left: var(--sidebar-width);
     }
 }
 
 .chapter {
     list-style: none outside none;
-    padding-left: 0;
+    padding-inline-start: 0;
     line-height: 2.2em;
 }
 
@@ -447,7 +514,7 @@ ul#searchresults span.teaser em {
 .chapter li > a.toggle {
     cursor: pointer;
     display: block;
-    margin-left: auto;
+    margin-inline-start: auto;
     padding: 0 10px;
     user-select: none;
     opacity: 0.68;
@@ -464,7 +531,7 @@ ul#searchresults span.teaser em {
 
 .chapter li.chapter-item {
     line-height: 1.5em;
-    margin-top: 0.6em;
+    margin-block-start: 0.6em;
 }
 
 .chapter li.expanded > a.toggle div {
@@ -487,7 +554,7 @@ ul#searchresults span.teaser em {
 
 .section {
     list-style: none outside none;
-    padding-left: 20px;
+    padding-inline-start: 20px;
     line-height: 1.9em;
 }
 
@@ -510,6 +577,7 @@ ul#searchresults span.teaser em {
     /* Don't let the children's background extend past the rounded corners. */
     overflow: hidden;
 }
+[dir=rtl] .theme-popup { left: unset;  right: 10px; }
 .theme-popup .default {
     color: var(--icons);
 }
@@ -520,7 +588,7 @@ ul#searchresults span.teaser em {
     padding: 2px 20px;
     line-height: 25px;
     white-space: nowrap;
-    text-align: left;
+    text-align: start;
     cursor: pointer;
     color: inherit;
     background: inherit;
@@ -533,6 +601,6 @@ ul#searchresults span.teaser em {
 .theme-selected::before {
     display: inline-block;
     content: "✓";
-    margin-left: -14px;
+    margin-inline-start: -14px;
     width: 14px;
 }

css/general.css

@@ -5,6 +5,7 @@
 :root {
     /* Browser default font-size is 16px, this way 1 rem = 10px */
     font-size: 62.5%;
+    color-scheme: var(--color-scheme);
 }
 
 html {
@@ -24,6 +25,7 @@ body {
 code {
     font-family: var(--mono-font) !important;
     font-size: var(--code-font-size);
+    direction: ltr !important;
 }
 
 /* make long words/inline code not x overflow */
@@ -47,13 +49,13 @@ h1 code, h2 code, h3 code, h4 code, h5 code, h6 code {
 .hide-boring .boring { display: none; }
 .hidden { display: none !important; }
 
-h2, h3 { margin-top: 2.5em; }
-h4, h5 { margin-top: 2em; }
+h2, h3 { margin-block-start: 2.5em; }
+h4, h5 { margin-block-start: 2em; }
 
 .header + .header h3,
 .header + .header h4,
 .header + .header h5 {
-    margin-top: 1em;
+    margin-block-start: 1em;
 }
 
 h1:target::before,
@@ -64,7 +66,7 @@ h5:target::before,
 h6:target::before {
     display: inline-block;
     content: "»";
-    margin-left: -30px;
+    margin-inline-start: -30px;
     width: 30px;
 }
 
@@ -73,28 +75,34 @@ h6:target::before {
    https://bugs.webkit.org/show_bug.cgi?id=218076
 */
 :target {
+    /* Safari does not support logical properties */
     scroll-margin-top: calc(var(--menu-bar-height) + 0.5em);
 }
 
 .page {
     outline: 0;
     padding: 0 var(--page-padding);
-    margin-top: calc(0px - var(--menu-bar-height)); /* Compensate for the #menu-bar-hover-placeholder */
+    margin-block-start: calc(0px - var(--menu-bar-height)); /* Compensate for the #menu-bar-hover-placeholder */
 }
 .page-wrapper {
     box-sizing: border-box;
+    background-color: var(--bg);
 }
+.no-js .page-wrapper,
 .js:not(.sidebar-resizing) .page-wrapper {
     transition: margin-left 0.3s ease, transform 0.3s ease; /* Animation: slide away */
 }
+[dir=rtl] .js:not(.sidebar-resizing) .page-wrapper {
+    transition: margin-right 0.3s ease, transform 0.3s ease; /* Animation: slide away */
+}
 
 .content {
     overflow-y: auto;
     padding: 0 5px 50px 5px;
 }
 .content main {
-    margin-left: auto;
-    margin-right: auto;
+    margin-inline-start: auto;
+    margin-inline-end: auto;
     max-width: var(--content-max-width);
 }
 .content p { line-height: 1.45em; }
@@ -144,8 +152,31 @@ blockquote {
     padding: 0 20px;
     color: var(--fg);
     background-color: var(--quote-bg);
-    border-top: .1em solid var(--quote-border);
-    border-bottom: .1em solid var(--quote-border);
+    border-block-start: .1em solid var(--quote-border);
+    border-block-end: .1em solid var(--quote-border);
+}
+
+.warning {
+    margin: 20px;
+    padding: 0 20px;
+    border-inline-start: 2px solid var(--warning-border);
+}
+
+.warning:before {
+    position: absolute;
+    width: 3rem;
+    height: 3rem;
+    margin-inline-start: calc(-1.5rem - 21px);
+    content: "ⓘ";
+    text-align: center;
+    background-color: var(--bg);
+    color: var(--warning-border);
+    font-weight: bold;
+    font-size: 2rem;
+}
+
+blockquote .warning:before {
+    background-color: var(--quote-bg);
 }
 
 kbd {
@@ -163,7 +194,7 @@ kbd {
 
 :not(.footnote-definition) + .footnote-definition,
 .footnote-definition + :not(.footnote-definition) {
-    margin-top: 2em;
+    margin-block-start: 2em;
 }
 .footnote-definition {
     font-size: 0.9em;

css/print.css

@@ -7,8 +7,8 @@
 }
 
 #page-wrapper.page-wrapper {
-    transform: none;
-    margin-left: 0px;
+    transform: none !important;
+    margin-inline-start: 0px;
     overflow-y: initial;
 }
 
@@ -23,11 +23,7 @@
 }
 
 code {
-    background-color: #666666;
-    border-radius: 5px;
-
-    /* Force background to be printed in Chrome */
-    -webkit-print-color-adjust: exact;
+    direction: ltr !important;
 }
 
 pre > .buttons {

css/variables.css

@@ -3,6 +3,8 @@
 
 :root {
     --sidebar-width: 300px;
+    --sidebar-resize-indicator-width: 8px;
+    --sidebar-resize-indicator-space: 2px;
     --page-padding: 15px;
     --content-max-width: 750px;
     --menu-bar-height: 50px;
@@ -38,6 +40,8 @@
     --quote-bg: hsl(226, 15%, 17%);
     --quote-border: hsl(226, 15%, 22%);
 
+    --warning-border: #ff8e00;
+
     --table-border-color: hsl(210, 25%, 13%);
     --table-header-bg: hsl(210, 25%, 28%);
     --table-alternate-bg: hsl(210, 25%, 11%);
@@ -50,6 +54,8 @@
     --searchresults-border-color: #888;
     --searchresults-li-bg: #252932;
     --search-mark-bg: #e3b171;
+
+    --color-scheme: dark;
 }
 
 .coal {
@@ -78,6 +84,8 @@
     --quote-bg: hsl(234, 21%, 18%);
     --quote-border: hsl(234, 21%, 23%);
 
+    --warning-border: #ff8e00;
+
     --table-border-color: hsl(200, 7%, 13%);
     --table-header-bg: hsl(200, 7%, 28%);
     --table-alternate-bg: hsl(200, 7%, 11%);
@@ -90,6 +98,8 @@
     --searchresults-border-color: #98a3ad;
     --searchresults-li-bg: #2b2b2f;
     --search-mark-bg: #355c7d;
+
+    --color-scheme: dark;
 }
 
 .light {
@@ -118,6 +128,8 @@
     --quote-bg: hsl(197, 37%, 96%);
     --quote-border: hsl(197, 37%, 91%);
 
+    --warning-border: #ff8e00;
+
     --table-border-color: hsl(0, 0%, 95%);
     --table-header-bg: hsl(0, 0%, 80%);
     --table-alternate-bg: hsl(0, 0%, 97%);
@@ -130,6 +142,8 @@
     --searchresults-border-color: #888;
     --searchresults-li-bg: #e4f2fe;
     --search-mark-bg: #a2cff5;
+
+    --color-scheme: light;
 }
 
 .navy {
@@ -158,6 +172,8 @@
     --quote-bg: hsl(226, 15%, 17%);
     --quote-border: hsl(226, 15%, 22%);
 
+    --warning-border: #ff8e00;
+
     --table-border-color: hsl(226, 23%, 16%);
     --table-header-bg: hsl(226, 23%, 31%);
     --table-alternate-bg: hsl(226, 23%, 14%);
@@ -170,6 +186,8 @@
     --searchresults-border-color: #5c5c68;
     --searchresults-li-bg: #242430;
     --search-mark-bg: #a2cff5;
+
+    --color-scheme: dark;
 }
 
 .rust {
@@ -198,6 +216,8 @@
     --quote-bg: hsl(60, 5%, 75%);
     --quote-border: hsl(60, 5%, 70%);
 
+    --warning-border: #ff8e00;
+
     --table-border-color: hsl(60, 9%, 82%);
     --table-header-bg: #b3a497;
     --table-alternate-bg: hsl(60, 9%, 84%);
@@ -210,6 +230,8 @@
     --searchresults-border-color: #888;
     --searchresults-li-bg: #dec2a2;
     --search-mark-bg: #e69f67;
+
+    --color-scheme: light;
 }
 
 @media (prefers-color-scheme: dark) {
@@ -239,6 +261,8 @@
         --quote-bg: hsl(234, 21%, 18%);
         --quote-border: hsl(234, 21%, 23%);
 
+        --warning-border: #ff8e00;
+
         --table-border-color: hsl(200, 7%, 13%);
         --table-header-bg: hsl(200, 7%, 28%);
         --table-alternate-bg: hsl(200, 7%, 11%);

rustdoc/latest/halo2/all.html

@@ -1,4 +1,4 @@
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 <script>
@@ -13,4 +13,4 @@
         });
     });
 </script>
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rustdoc/latest/halo2/index.html

@@ -1,4 +1,4 @@
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rustdoc/latest/halo2_gadgets/ecc/chip/constants/constant.FIXED_BASE_WINDOW_SIZE.html

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+<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Window size for fixed-base scalar multiplication"><title>FIXED_BASE_WINDOW_SIZE in halo2_gadgets::ecc::chip::constants - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../../static.files/rustdoc-fa3bb1812debf86c.css"><meta name="rustdoc-vars" data-root-path="../../../../" data-static-root-path="../../../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.75.0-nightly (2bbb61989 2023-10-04)" data-channel="nightly" data-search-js="search-8be46b629f5f14a8.js" data-settings-js="settings-74424d7eec62a23e.js" ><script src="../../../../static.files/storage-fec3eaa3851e447d.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../../static.files/main-c5bd66d33317d69f.js"></script><noscript><link rel="stylesheet" href="../../../../static.files/noscript-5d8b3c7633ad77ba.css"></noscript><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
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-</head><body class="rustdoc constant"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><div class="sidebar-elems"><h2><a href="index.html">In halo2_gadgets::ecc::chip::constants</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Constant <a href="../../../index.html">halo2_gadgets</a>::<wbr><a href="../../index.html">ecc</a>::<wbr><a href="../index.html">chip</a>::<wbr><a href="index.html">constants</a>::<wbr><a class="constant" href="#">FIXED_BASE_WINDOW_SIZE</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../../../src/halo2_gadgets/ecc/chip/constants.rs.html#12">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub const FIXED_BASE_WINDOW_SIZE: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> = 3;</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Window size for fixed-base scalar multiplication</p>
+</head><body class="rustdoc constant"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><div class="sidebar-elems"><h2><a href="index.html">In halo2_gadgets::ecc::chip::constants</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Constant <a href="../../../index.html">halo2_gadgets</a>::<wbr><a href="../../index.html">ecc</a>::<wbr><a href="../index.html">chip</a>::<wbr><a href="index.html">constants</a>::<wbr><a class="constant" href="#">FIXED_BASE_WINDOW_SIZE</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../../../src/halo2_gadgets/ecc/chip/constants.rs.html#12">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub const FIXED_BASE_WINDOW_SIZE: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> = 3;</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Window size for fixed-base scalar multiplication</p>
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rustdoc/latest/halo2_gadgets/ecc/chip/constants/constant.H.html

@@ -1,4 +1,4 @@
-<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="$2^{`FIXED_BASE_WINDOW_SIZE`}$"><title>H in halo2_gadgets::ecc::chip::constants - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../../static.files/rustdoc-f3501f0f5ae15dfb.css" id="mainThemeStyle"><div id="rustdoc-vars" data-root-path="../../../../" data-static-root-path="../../../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.71.0-nightly (8b4b20836 2023-05-22)" data-search-js="search-4926e5fc22a5646a.js" data-settings-js="settings-de11bff964e9d4e5.js" data-settings-css="settings-6f6ffb5395b17c6e.css" data-theme-light-css="light-0f8c037637f9eb3e.css" data-theme-dark-css="dark-1097f8e92a01e3cf.css" data-theme-ayu-css="ayu-614652228113ac93.css" ></div><script src="../../../../static.files/storage-62ce34ea385b278a.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../../static.files/main-f0540c1d82cde29b.js"></script><noscript><link rel="stylesheet" media="(prefers-color-scheme:light)" href="../../../../static.files/light-0f8c037637f9eb3e.css"><link rel="stylesheet" media="(prefers-color-scheme:dark)" href="../../../../static.files/dark-1097f8e92a01e3cf.css"><link rel="stylesheet" href="../../../../static.files/noscript-13285aec31fa243e.css"></noscript><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
+<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="$2^{`FIXED_BASE_WINDOW_SIZE`}$"><title>H in halo2_gadgets::ecc::chip::constants - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../../static.files/rustdoc-fa3bb1812debf86c.css"><meta name="rustdoc-vars" data-root-path="../../../../" data-static-root-path="../../../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.75.0-nightly (2bbb61989 2023-10-04)" data-channel="nightly" data-search-js="search-8be46b629f5f14a8.js" data-settings-js="settings-74424d7eec62a23e.js" ><script src="../../../../static.files/storage-fec3eaa3851e447d.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../../static.files/main-c5bd66d33317d69f.js"></script><noscript><link rel="stylesheet" href="../../../../static.files/noscript-5d8b3c7633ad77ba.css"></noscript><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
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-</head><body class="rustdoc constant"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><div class="sidebar-elems"><h2><a href="index.html">In halo2_gadgets::ecc::chip::constants</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Constant <a href="../../../index.html">halo2_gadgets</a>::<wbr><a href="../../index.html">ecc</a>::<wbr><a href="../index.html">chip</a>::<wbr><a href="index.html">constants</a>::<wbr><a class="constant" href="#">H</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../../../src/halo2_gadgets/ecc/chip/constants.rs.html#15">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub const H: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> = _; // 8usize</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>$2^{<code>FIXED_BASE_WINDOW_SIZE</code>}$</p>
+</head><body class="rustdoc constant"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><div class="sidebar-elems"><h2><a href="index.html">In halo2_gadgets::ecc::chip::constants</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Constant <a href="../../../index.html">halo2_gadgets</a>::<wbr><a href="../../index.html">ecc</a>::<wbr><a href="../index.html">chip</a>::<wbr><a href="index.html">constants</a>::<wbr><a class="constant" href="#">H</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../../../src/halo2_gadgets/ecc/chip/constants.rs.html#15">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub const H: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> = _; // 8usize</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>$2^{<code>FIXED_BASE_WINDOW_SIZE</code>}$</p>
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rustdoc/latest/halo2_gadgets/ecc/chip/constants/constant.NUM_WINDOWS.html

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+<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Number of windows for a full-width scalar"><title>NUM_WINDOWS in halo2_gadgets::ecc::chip::constants - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../../static.files/rustdoc-fa3bb1812debf86c.css"><meta name="rustdoc-vars" data-root-path="../../../../" data-static-root-path="../../../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.75.0-nightly (2bbb61989 2023-10-04)" data-channel="nightly" data-search-js="search-8be46b629f5f14a8.js" data-settings-js="settings-74424d7eec62a23e.js" ><script src="../../../../static.files/storage-fec3eaa3851e447d.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../../static.files/main-c5bd66d33317d69f.js"></script><noscript><link rel="stylesheet" href="../../../../static.files/noscript-5d8b3c7633ad77ba.css"></noscript><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
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-</head><body class="rustdoc constant"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><div class="sidebar-elems"><h2><a href="index.html">In halo2_gadgets::ecc::chip::constants</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Constant <a href="../../../index.html">halo2_gadgets</a>::<wbr><a href="../../index.html">ecc</a>::<wbr><a href="../index.html">chip</a>::<wbr><a href="index.html">constants</a>::<wbr><a class="constant" href="#">NUM_WINDOWS</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../../../src/halo2_gadgets/ecc/chip/constants.rs.html#18-19">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub const NUM_WINDOWS: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> = _; // 85usize</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Number of windows for a full-width scalar</p>
+</head><body class="rustdoc constant"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><div class="sidebar-elems"><h2><a href="index.html">In halo2_gadgets::ecc::chip::constants</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Constant <a href="../../../index.html">halo2_gadgets</a>::<wbr><a href="../../index.html">ecc</a>::<wbr><a href="../index.html">chip</a>::<wbr><a href="index.html">constants</a>::<wbr><a class="constant" href="#">NUM_WINDOWS</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../../../src/halo2_gadgets/ecc/chip/constants.rs.html#18-19">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub const NUM_WINDOWS: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> = _; // 85usize</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Number of windows for a full-width scalar</p>
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rustdoc/latest/halo2_gadgets/ecc/chip/constants/constant.NUM_WINDOWS_SHORT.html

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+<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Number of windows for a short signed scalar"><title>NUM_WINDOWS_SHORT in halo2_gadgets::ecc::chip::constants - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../../static.files/rustdoc-fa3bb1812debf86c.css"><meta name="rustdoc-vars" data-root-path="../../../../" data-static-root-path="../../../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.75.0-nightly (2bbb61989 2023-10-04)" data-channel="nightly" data-search-js="search-8be46b629f5f14a8.js" data-settings-js="settings-74424d7eec62a23e.js" ><script src="../../../../static.files/storage-fec3eaa3851e447d.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../../static.files/main-c5bd66d33317d69f.js"></script><noscript><link rel="stylesheet" href="../../../../static.files/noscript-5d8b3c7633ad77ba.css"></noscript><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
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+</head><body class="rustdoc constant"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><div class="sidebar-elems"><h2><a href="index.html">In halo2_gadgets::ecc::chip::constants</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Constant <a href="../../../index.html">halo2_gadgets</a>::<wbr><a href="../../index.html">ecc</a>::<wbr><a href="../index.html">chip</a>::<wbr><a href="index.html">constants</a>::<wbr><a class="constant" href="#">NUM_WINDOWS_SHORT</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../../../src/halo2_gadgets/ecc/chip/constants.rs.html#22-23">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub const NUM_WINDOWS_SHORT: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> = _; // 22usize</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Number of windows for a short signed scalar</p>
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rustdoc/latest/halo2_gadgets/ecc/chip/constants/fn.compute_lagrange_coeffs.html

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+<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="For each window, we interpolate the $x$-coordinate. Here, we pre-compute and store the coefficients of the interpolation polynomial."><title>compute_lagrange_coeffs in halo2_gadgets::ecc::chip::constants - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../../static.files/rustdoc-fa3bb1812debf86c.css"><meta name="rustdoc-vars" data-root-path="../../../../" data-static-root-path="../../../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.75.0-nightly (2bbb61989 2023-10-04)" data-channel="nightly" data-search-js="search-8be46b629f5f14a8.js" data-settings-js="settings-74424d7eec62a23e.js" ><script src="../../../../static.files/storage-fec3eaa3851e447d.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../../static.files/main-c5bd66d33317d69f.js"></script><noscript><link rel="stylesheet" href="../../../../static.files/noscript-5d8b3c7633ad77ba.css"></noscript><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
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-</head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><div class="sidebar-elems"><h2><a href="index.html">In halo2_gadgets::ecc::chip::constants</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Function <a href="../../../index.html">halo2_gadgets</a>::<wbr><a href="../../index.html">ecc</a>::<wbr><a href="../index.html">chip</a>::<wbr><a href="index.html">constants</a>::<wbr><a class="fn" href="#">compute_lagrange_coeffs</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../../../src/halo2_gadgets/ecc/chip/constants.rs.html#86-106">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub fn compute_lagrange_coeffs&lt;C: CurveAffine&gt;(
+</head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><div class="sidebar-elems"><h2><a href="index.html">In halo2_gadgets::ecc::chip::constants</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Function <a href="../../../index.html">halo2_gadgets</a>::<wbr><a href="../../index.html">ecc</a>::<wbr><a href="../index.html">chip</a>::<wbr><a href="index.html">constants</a>::<wbr><a class="fn" href="#">compute_lagrange_coeffs</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../../../src/halo2_gadgets/ecc/chip/constants.rs.html#86-106">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub fn compute_lagrange_coeffs&lt;C: CurveAffine&gt;(
     base: C,
     num_windows: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>
 ) -&gt; <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a>&lt;[C::Base; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">8</a>]&gt;</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>For each window, we interpolate the $x$-coordinate.

rustdoc/latest/halo2_gadgets/ecc/chip/constants/fn.find_zs_and_us.html

@@ -1,4 +1,4 @@
-<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="For each window, $z$ is a field element such that for each point $(x, y)$ in the window:"><title>find_zs_and_us in halo2_gadgets::ecc::chip::constants - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../../static.files/rustdoc-f3501f0f5ae15dfb.css" id="mainThemeStyle"><div id="rustdoc-vars" data-root-path="../../../../" data-static-root-path="../../../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.71.0-nightly (8b4b20836 2023-05-22)" data-search-js="search-4926e5fc22a5646a.js" data-settings-js="settings-de11bff964e9d4e5.js" data-settings-css="settings-6f6ffb5395b17c6e.css" data-theme-light-css="light-0f8c037637f9eb3e.css" data-theme-dark-css="dark-1097f8e92a01e3cf.css" data-theme-ayu-css="ayu-614652228113ac93.css" ></div><script src="../../../../static.files/storage-62ce34ea385b278a.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../../static.files/main-f0540c1d82cde29b.js"></script><noscript><link rel="stylesheet" media="(prefers-color-scheme:light)" href="../../../../static.files/light-0f8c037637f9eb3e.css"><link rel="stylesheet" media="(prefers-color-scheme:dark)" href="../../../../static.files/dark-1097f8e92a01e3cf.css"><link rel="stylesheet" href="../../../../static.files/noscript-13285aec31fa243e.css"></noscript><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
+<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="For each window, $z$ is a field element such that for each point $(x, y)$ in the window:"><title>find_zs_and_us in halo2_gadgets::ecc::chip::constants - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../../static.files/rustdoc-fa3bb1812debf86c.css"><meta name="rustdoc-vars" data-root-path="../../../../" data-static-root-path="../../../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.75.0-nightly (2bbb61989 2023-10-04)" data-channel="nightly" data-search-js="search-8be46b629f5f14a8.js" data-settings-js="settings-74424d7eec62a23e.js" ><script src="../../../../static.files/storage-fec3eaa3851e447d.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../../static.files/main-c5bd66d33317d69f.js"></script><noscript><link rel="stylesheet" href="../../../../static.files/noscript-5d8b3c7633ad77ba.css"></noscript><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
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         });
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-</head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><div class="sidebar-elems"><h2><a href="index.html">In halo2_gadgets::ecc::chip::constants</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Function <a href="../../../index.html">halo2_gadgets</a>::<wbr><a href="../../index.html">ecc</a>::<wbr><a href="../index.html">chip</a>::<wbr><a href="index.html">constants</a>::<wbr><a class="fn" href="#">find_zs_and_us</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../../../src/halo2_gadgets/ecc/chip/constants.rs.html#117-148">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub fn find_zs_and_us&lt;C: CurveAffine&gt;(
+</head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><div class="sidebar-elems"><h2><a href="index.html">In halo2_gadgets::ecc::chip::constants</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Function <a href="../../../index.html">halo2_gadgets</a>::<wbr><a href="../../index.html">ecc</a>::<wbr><a href="../index.html">chip</a>::<wbr><a href="index.html">constants</a>::<wbr><a class="fn" href="#">find_zs_and_us</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../../../src/halo2_gadgets/ecc/chip/constants.rs.html#117-148">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub fn find_zs_and_us&lt;C: CurveAffine&gt;(
     base: C,
     num_windows: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>
 ) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a>&lt;<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>, [C::Base; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">8</a>])&gt;&gt;</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>For each window, $z$ is a field element such that for each point $(x, y)$ in the window:</p>

rustdoc/latest/halo2_gadgets/ecc/chip/constants/fn.test_lagrange_coeffs.html

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-<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Test that Lagrange interpolation coefficients reproduce the correct x-coordinate for each fixed-base multiple in each window."><title>test_lagrange_coeffs in halo2_gadgets::ecc::chip::constants - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../../static.files/rustdoc-f3501f0f5ae15dfb.css" id="mainThemeStyle"><div id="rustdoc-vars" data-root-path="../../../../" data-static-root-path="../../../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.71.0-nightly (8b4b20836 2023-05-22)" data-search-js="search-4926e5fc22a5646a.js" data-settings-js="settings-de11bff964e9d4e5.js" data-settings-css="settings-6f6ffb5395b17c6e.css" data-theme-light-css="light-0f8c037637f9eb3e.css" data-theme-dark-css="dark-1097f8e92a01e3cf.css" data-theme-ayu-css="ayu-614652228113ac93.css" ></div><script src="../../../../static.files/storage-62ce34ea385b278a.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../../static.files/main-f0540c1d82cde29b.js"></script><noscript><link rel="stylesheet" media="(prefers-color-scheme:light)" href="../../../../static.files/light-0f8c037637f9eb3e.css"><link rel="stylesheet" media="(prefers-color-scheme:dark)" href="../../../../static.files/dark-1097f8e92a01e3cf.css"><link rel="stylesheet" href="../../../../static.files/noscript-13285aec31fa243e.css"></noscript><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
+<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Test that Lagrange interpolation coefficients reproduce the correct x-coordinate for each fixed-base multiple in each window."><title>test_lagrange_coeffs in halo2_gadgets::ecc::chip::constants - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../../static.files/rustdoc-fa3bb1812debf86c.css"><meta name="rustdoc-vars" data-root-path="../../../../" data-static-root-path="../../../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.75.0-nightly (2bbb61989 2023-10-04)" data-channel="nightly" data-search-js="search-8be46b629f5f14a8.js" data-settings-js="settings-74424d7eec62a23e.js" ><script src="../../../../static.files/storage-fec3eaa3851e447d.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../../static.files/main-c5bd66d33317d69f.js"></script><noscript><link rel="stylesheet" href="../../../../static.files/noscript-5d8b3c7633ad77ba.css"></noscript><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
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-</head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><div class="sidebar-elems"><h2><a href="index.html">In halo2_gadgets::ecc::chip::constants</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Function <a href="../../../index.html">halo2_gadgets</a>::<wbr><a href="../../index.html">ecc</a>::<wbr><a href="../index.html">chip</a>::<wbr><a href="index.html">constants</a>::<wbr><a class="fn" href="#">test_lagrange_coeffs</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../../../src/halo2_gadgets/ecc/chip/constants.rs.html#175-228">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub fn test_lagrange_coeffs&lt;C: CurveAffine&gt;(base: C, num_windows: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>)</code></pre><span class="item-info"><div class="stab portability">Available on <strong>crate feature <code>test-dependencies</code></strong> only.</div></span><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Test that Lagrange interpolation coefficients reproduce the correct x-coordinate
+</head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><div class="sidebar-elems"><h2><a href="index.html">In halo2_gadgets::ecc::chip::constants</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Function <a href="../../../index.html">halo2_gadgets</a>::<wbr><a href="../../index.html">ecc</a>::<wbr><a href="../index.html">chip</a>::<wbr><a href="index.html">constants</a>::<wbr><a class="fn" href="#">test_lagrange_coeffs</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../../../src/halo2_gadgets/ecc/chip/constants.rs.html#175-228">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub fn test_lagrange_coeffs&lt;C: CurveAffine&gt;(base: C, num_windows: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>)</code></pre><span class="item-info"><div class="stab portability">Available on <strong>crate feature <code>test-dependencies</code></strong> only.</div></span><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Test that Lagrange interpolation coefficients reproduce the correct x-coordinate
 for each fixed-base multiple in each window.</p>
 </div></details></section></div></main></body></html>

rustdoc/latest/halo2_gadgets/ecc/chip/constants/fn.test_zs_and_us.html

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-<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Test that the z-values and u-values satisfy the conditions: 1. z + y = u^2, 2. z - y is not a square for the y-coordinate of each fixed-base multiple in each window."><title>test_zs_and_us in halo2_gadgets::ecc::chip::constants - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../../static.files/rustdoc-f3501f0f5ae15dfb.css" id="mainThemeStyle"><div id="rustdoc-vars" data-root-path="../../../../" data-static-root-path="../../../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.71.0-nightly (8b4b20836 2023-05-22)" data-search-js="search-4926e5fc22a5646a.js" data-settings-js="settings-de11bff964e9d4e5.js" data-settings-css="settings-6f6ffb5395b17c6e.css" data-theme-light-css="light-0f8c037637f9eb3e.css" data-theme-dark-css="dark-1097f8e92a01e3cf.css" data-theme-ayu-css="ayu-614652228113ac93.css" ></div><script src="../../../../static.files/storage-62ce34ea385b278a.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../../static.files/main-f0540c1d82cde29b.js"></script><noscript><link rel="stylesheet" media="(prefers-color-scheme:light)" href="../../../../static.files/light-0f8c037637f9eb3e.css"><link rel="stylesheet" media="(prefers-color-scheme:dark)" href="../../../../static.files/dark-1097f8e92a01e3cf.css"><link rel="stylesheet" href="../../../../static.files/noscript-13285aec31fa243e.css"></noscript><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
+<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Test that the z-values and u-values satisfy the conditions: 1. z + y = u^2, 2. z - y is not a square for the y-coordinate of each fixed-base multiple in each window."><title>test_zs_and_us in halo2_gadgets::ecc::chip::constants - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../../static.files/rustdoc-fa3bb1812debf86c.css"><meta name="rustdoc-vars" data-root-path="../../../../" data-static-root-path="../../../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.75.0-nightly (2bbb61989 2023-10-04)" data-channel="nightly" data-search-js="search-8be46b629f5f14a8.js" data-settings-js="settings-74424d7eec62a23e.js" ><script src="../../../../static.files/storage-fec3eaa3851e447d.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../../static.files/main-c5bd66d33317d69f.js"></script><noscript><link rel="stylesheet" href="../../../../static.files/noscript-5d8b3c7633ad77ba.css"></noscript><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
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-</head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><div class="sidebar-elems"><h2><a href="index.html">In halo2_gadgets::ecc::chip::constants</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Function <a href="../../../index.html">halo2_gadgets</a>::<wbr><a href="../../index.html">ecc</a>::<wbr><a href="../index.html">chip</a>::<wbr><a href="index.html">constants</a>::<wbr><a class="fn" href="#">test_zs_and_us</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../../../src/halo2_gadgets/ecc/chip/constants.rs.html#156-169">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub fn test_zs_and_us&lt;C: CurveAffine&gt;(
+</head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><div class="sidebar-elems"><h2><a href="index.html">In halo2_gadgets::ecc::chip::constants</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Function <a href="../../../index.html">halo2_gadgets</a>::<wbr><a href="../../index.html">ecc</a>::<wbr><a href="../index.html">chip</a>::<wbr><a href="index.html">constants</a>::<wbr><a class="fn" href="#">test_zs_and_us</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../../../src/halo2_gadgets/ecc/chip/constants.rs.html#156-169">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub fn test_zs_and_us&lt;C: CurveAffine&gt;(
     base: C,
     z: &amp;[<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a>],
     u: &amp;[[[<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>]],

rustdoc/latest/halo2_gadgets/ecc/chip/constants/index.html

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-</head><body class="rustdoc mod"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">Module constants</a></h2><div class="sidebar-elems"><section><ul class="block"><li><a href="#constants">Constants</a></li><li><a href="#functions">Functions</a></li></ul></section></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Module <a href="../../../index.html">halo2_gadgets</a>::<wbr><a href="../../index.html">ecc</a>::<wbr><a href="../index.html">chip</a>::<wbr><a class="mod" href="#">constants</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../../../src/halo2_gadgets/ecc/chip/constants.rs.html#1-277">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Constants required for the ECC chip.</p>
+</head><body class="rustdoc mod"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">Module constants</a></h2><div class="sidebar-elems"><section><ul class="block"><li><a href="#constants">Constants</a></li><li><a href="#functions">Functions</a></li></ul></section></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Module <a href="../../../index.html">halo2_gadgets</a>::<wbr><a href="../../index.html">ecc</a>::<wbr><a href="../index.html">chip</a>::<wbr><a class="mod" href="#">constants</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../../../src/halo2_gadgets/ecc/chip/constants.rs.html#1-277">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Constants required for the ECC chip.</p>
 </div></details><h2 id="constants" class="small-section-header"><a href="#constants">Constants</a></h2><ul class="item-table"><li><div class="item-name"><a class="constant" href="constant.FIXED_BASE_WINDOW_SIZE.html" title="constant halo2_gadgets::ecc::chip::constants::FIXED_BASE_WINDOW_SIZE">FIXED_BASE_WINDOW_SIZE</a></div><div class="desc docblock-short">Window size for fixed-base scalar multiplication</div></li><li><div class="item-name"><a class="constant" href="constant.H.html" title="constant halo2_gadgets::ecc::chip::constants::H">H</a></div><div class="desc docblock-short">$2^{<code>FIXED_BASE_WINDOW_SIZE</code>}$</div></li><li><div class="item-name"><a class="constant" href="constant.NUM_WINDOWS.html" title="constant halo2_gadgets::ecc::chip::constants::NUM_WINDOWS">NUM_WINDOWS</a></div><div class="desc docblock-short">Number of windows for a full-width scalar</div></li><li><div class="item-name"><a class="constant" href="constant.NUM_WINDOWS_SHORT.html" title="constant halo2_gadgets::ecc::chip::constants::NUM_WINDOWS_SHORT">NUM_WINDOWS_SHORT</a></div><div class="desc docblock-short">Number of windows for a short signed scalar</div></li></ul><h2 id="functions" class="small-section-header"><a href="#functions">Functions</a></h2><ul class="item-table"><li><div class="item-name"><a class="fn" href="fn.compute_lagrange_coeffs.html" title="fn halo2_gadgets::ecc::chip::constants::compute_lagrange_coeffs">compute_lagrange_coeffs</a></div><div class="desc docblock-short">For each window, we interpolate the $x$-coordinate.
 Here, we pre-compute and store the coefficients of the interpolation polynomial.</div></li><li><div class="item-name"><a class="fn" href="fn.find_zs_and_us.html" title="fn halo2_gadgets::ecc::chip::constants::find_zs_and_us">find_zs_and_us</a></div><div class="desc docblock-short">For each window, $z$ is a field element such that for each point $(x, y)$ in the window:</div></li><li><div class="item-name"><a class="fn" href="fn.test_lagrange_coeffs.html" title="fn halo2_gadgets::ecc::chip::constants::test_lagrange_coeffs">test_lagrange_coeffs</a><span class="stab portability" title="Available on crate feature `test-dependencies` only"><code>test-dependencies</code></span></div><div class="desc docblock-short">Test that Lagrange interpolation coefficients reproduce the correct x-coordinate
 for each fixed-base multiple in each window.</div></li><li><div class="item-name"><a class="fn" href="fn.test_zs_and_us.html" title="fn halo2_gadgets::ecc::chip::constants::test_zs_and_us">test_zs_and_us</a><span class="stab portability" title="Available on crate feature `test-dependencies` only"><code>test-dependencies</code></span></div><div class="desc docblock-short">Test that the z-values and u-values satisfy the conditions:

rustdoc/latest/halo2_gadgets/ecc/chip/index.html

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-</head><body class="rustdoc mod"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">Module chip</a></h2><div class="sidebar-elems"><section><ul class="block"><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></section></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Module <a href="../../index.html">halo2_gadgets</a>::<wbr><a href="../index.html">ecc</a>::<wbr><a class="mod" href="#">chip</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#1-614">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Chip implementations for the ECC gadgets.</p>
+</head><body class="rustdoc mod"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">Module chip</a></h2><div class="sidebar-elems"><section><ul class="block"><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></section></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Module <a href="../../index.html">halo2_gadgets</a>::<wbr><a href="../index.html">ecc</a>::<wbr><a class="mod" href="#">chip</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_gadgets/ecc/chip.rs.html#1-614">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><details class="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><ul class="item-table"><li><div class="item-name"><code>pub use <a class="mod" href="constants/index.html" title="mod halo2_gadgets::ecc::chip::constants">constants</a>::*;</code></div></li></ul><h2 id="modules" class="small-section-header"><a href="#modules">Modules</a></h2><ul class="item-table"><li><div class="item-name"><a class="mod" href="constants/index.html" title="mod halo2_gadgets::ecc::chip::constants">constants</a></div><div class="desc docblock-short">Constants required for the ECC chip.</div></li></ul><h2 id="structs" class="small-section-header"><a href="#structs">Structs</a></h2><ul class="item-table"><li><div class="item-name"><a class="struct" href="struct.EccChip.html" title="struct halo2_gadgets::ecc::chip::EccChip">EccChip</a></div><div class="desc docblock-short">An <a href="../trait.EccInstructions.html" title="trait halo2_gadgets::ecc::EccInstructions"><code>EccInstructions</code></a> chip that uses 10 advice columns.</div></li><li><div class="item-name"><a class="struct" href="struct.EccConfig.html" title="struct halo2_gadgets::ecc::chip::EccConfig">EccConfig</a></div><div class="desc docblock-short">Configuration for <a href="struct.EccChip.html" title="struct halo2_gadgets::ecc::chip::EccChip"><code>EccChip</code></a>.</div></li><li><div class="item-name"><a class="struct" href="struct.EccPoint.html" title="struct halo2_gadgets::ecc::chip::EccPoint">EccPoint</a></div><div class="desc docblock-short">A curve point represented in affine (x, y) coordinates, or the
 identity represented as (0, 0).
 Each coordinate is assigned to a cell.</div></li><li><div class="item-name"><a class="struct" href="struct.EccScalarFixed.html" title="struct halo2_gadgets::ecc::chip::EccScalarFixed">EccScalarFixed</a></div><div class="desc docblock-short">A full-width scalar used for fixed-base scalar multiplication.

rustdoc/latest/halo2_gadgets/ecc/chip/trait.FixedPoint.html

@@ -1,4 +1,4 @@
-<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Returns information about a fixed point that is required by `EccChip`."><title>FixedPoint in halo2_gadgets::ecc::chip - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../static.files/rustdoc-f3501f0f5ae15dfb.css" id="mainThemeStyle"><div id="rustdoc-vars" data-root-path="../../../" data-static-root-path="../../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.71.0-nightly (8b4b20836 2023-05-22)" data-search-js="search-4926e5fc22a5646a.js" data-settings-js="settings-de11bff964e9d4e5.js" data-settings-css="settings-6f6ffb5395b17c6e.css" data-theme-light-css="light-0f8c037637f9eb3e.css" data-theme-dark-css="dark-1097f8e92a01e3cf.css" data-theme-ayu-css="ayu-614652228113ac93.css" ></div><script src="../../../static.files/storage-62ce34ea385b278a.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../static.files/main-f0540c1d82cde29b.js"></script><noscript><link rel="stylesheet" media="(prefers-color-scheme:light)" href="../../../static.files/light-0f8c037637f9eb3e.css"><link rel="stylesheet" media="(prefers-color-scheme:dark)" href="../../../static.files/dark-1097f8e92a01e3cf.css"><link rel="stylesheet" href="../../../static.files/noscript-13285aec31fa243e.css"></noscript><link rel="alternate icon" type="image/png" href="../../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
+<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Returns information about a fixed point that is required by `EccChip`."><title>FixedPoint in halo2_gadgets::ecc::chip - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../static.files/rustdoc-fa3bb1812debf86c.css"><meta name="rustdoc-vars" data-root-path="../../../" data-static-root-path="../../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.75.0-nightly (2bbb61989 2023-10-04)" data-channel="nightly" data-search-js="search-8be46b629f5f14a8.js" data-settings-js="settings-74424d7eec62a23e.js" ><script src="../../../static.files/storage-fec3eaa3851e447d.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../static.files/main-c5bd66d33317d69f.js"></script><noscript><link rel="stylesheet" href="../../../static.files/noscript-5d8b3c7633ad77ba.css"></noscript><link rel="alternate icon" type="image/png" href="../../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
 <script src="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.js"                  integrity="sha384-K3vbOmF2BtaVai+Qk37uypf7VrgBubhQreNQe9aGsz9lB63dIFiQVlJbr92dw2Lx" crossorigin="anonymous"></script>
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 <script>
@@ -13,7 +13,7 @@
         });
     });
 </script>
-</head><body class="rustdoc trait"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">FixedPoint</a></h2><div class="sidebar-elems"><section><h3><a href="#required-associated-types">Required Associated Types</a></h3><ul class="block"><li><a href="#associatedtype.FixedScalarKind">FixedScalarKind</a></li></ul><h3><a href="#required-methods">Required Methods</a></h3><ul class="block"><li><a href="#tymethod.generator">generator</a></li><li><a href="#tymethod.u">u</a></li><li><a href="#tymethod.z">z</a></li></ul><h3><a href="#provided-methods">Provided Methods</a></h3><ul class="block"><li><a href="#method.lagrange_coeffs">lagrange_coeffs</a></li></ul><h3><a href="#implementors">Implementors</a></h3></section><h2><a href="index.html">In halo2_gadgets::ecc::chip</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Trait <a href="../../index.html">halo2_gadgets</a>::<wbr><a href="../index.html">ecc</a>::<wbr><a href="index.html">chip</a>::<wbr><a class="trait" href="#">FixedPoint</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#209-226">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub trait FixedPoint&lt;C: 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> {
+</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="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">FixedPoint</a></h2><div class="sidebar-elems"><section><h3><a href="#required-associated-types">Required Associated Types</a></h3><ul class="block"><li><a href="#associatedtype.FixedScalarKind">FixedScalarKind</a></li></ul><h3><a href="#required-methods">Required Methods</a></h3><ul class="block"><li><a href="#tymethod.generator">generator</a></li><li><a href="#tymethod.u">u</a></li><li><a href="#tymethod.z">z</a></li></ul><h3><a href="#provided-methods">Provided Methods</a></h3><ul class="block"><li><a href="#method.lagrange_coeffs">lagrange_coeffs</a></li></ul><h3><a href="#implementors">Implementors</a></h3></section><h2><a href="index.html">In halo2_gadgets::ecc::chip</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Trait <a href="../../index.html">halo2_gadgets</a>::<wbr><a href="../index.html">ecc</a>::<wbr><a href="index.html">chip</a>::<wbr><a class="trait" href="#">FixedPoint</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_gadgets/ecc/chip.rs.html#209-226">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub trait FixedPoint&lt;C: 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.FixedScalarKind" class="associatedtype">FixedScalarKind</a>: <a class="trait" href="trait.FixedScalarKind.html" title="trait halo2_gadgets::ecc::chip::FixedScalarKind">FixedScalarKind</a>;
 
     // Required methods
@@ -33,9 +33,9 @@ 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="toggle" open><summary><section id="associatedtype.FixedScalarKind" class="method"><a class="srclink rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#211">source</a><h4 class="code-header">type <a href="#associatedtype.FixedScalarKind" class="associatedtype">FixedScalarKind</a>: <a class="trait" href="trait.FixedScalarKind.html" title="trait halo2_gadgets::ecc::chip::FixedScalarKind">FixedScalarKind</a></h4></section></summary><div class="docblock"><p>The kind of scalar that this fixed point can be multiplied by.</p>
-</div></details></div><h2 id="required-methods" class="small-section-header">Required Methods<a href="#required-methods" class="anchor">§</a></h2><div class="methods"><details class="toggle method-toggle" open><summary><section id="tymethod.generator" class="method"><a class="srclink rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#214">source</a><h4 class="code-header">fn <a href="#tymethod.generator" class="fn">generator</a>(&amp;self) -&gt; C</h4></section></summary><div class="docblock"><p>Returns the generator for this fixed point.</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.u" class="method"><a class="srclink rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#217">source</a><h4 class="code-header">fn <a href="#tymethod.u" class="fn">u</a>(&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;[&lt;C::Base as PrimeField&gt;::Repr; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">8</a>]&gt;</h4></section></summary><div class="docblock"><p>Returns the $u$ values for this fixed point.</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.z" class="method"><a class="srclink rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#220">source</a><h4 class="code-header">fn <a href="#tymethod.z" class="fn">z</a>(&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;</h4></section></summary><div class="docblock"><p>Returns the $z$ value for this fixed point.</p>
-</div></details></div><h2 id="provided-methods" class="small-section-header">Provided Methods<a href="#provided-methods" class="anchor">§</a></h2><div class="methods"><details class="toggle method-toggle" open><summary><section id="method.lagrange_coeffs" class="method"><a class="srclink rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#223-225">source</a><h4 class="code-header">fn <a href="#method.lagrange_coeffs" class="fn">lagrange_coeffs</a>(&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;[C::Base; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">8</a>]&gt;</h4></section></summary><div class="docblock"><p>Returns the Lagrange coefficients for this fixed point.</p>
+</div></details><h2 id="required-associated-types" class="small-section-header">Required Associated Types<a href="#required-associated-types" class="anchor">§</a></h2><div class="methods"><details class="toggle" open><summary><section id="associatedtype.FixedScalarKind" class="method"><a class="src rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#211">source</a><h4 class="code-header">type <a href="#associatedtype.FixedScalarKind" class="associatedtype">FixedScalarKind</a>: <a class="trait" href="trait.FixedScalarKind.html" title="trait halo2_gadgets::ecc::chip::FixedScalarKind">FixedScalarKind</a></h4></section></summary><div class="docblock"><p>The kind of scalar that this fixed point can be multiplied by.</p>
+</div></details></div><h2 id="required-methods" class="small-section-header">Required Methods<a href="#required-methods" class="anchor">§</a></h2><div class="methods"><details class="toggle method-toggle" open><summary><section id="tymethod.generator" class="method"><a class="src rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#214">source</a><h4 class="code-header">fn <a href="#tymethod.generator" class="fn">generator</a>(&amp;self) -&gt; C</h4></section></summary><div class="docblock"><p>Returns the generator for this fixed point.</p>
+</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.u" class="method"><a class="src rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#217">source</a><h4 class="code-header">fn <a href="#tymethod.u" class="fn">u</a>(&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;[&lt;C::Base as PrimeField&gt;::Repr; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">8</a>]&gt;</h4></section></summary><div class="docblock"><p>Returns the $u$ values for this fixed point.</p>
+</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.z" class="method"><a class="src rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#220">source</a><h4 class="code-header">fn <a href="#tymethod.z" class="fn">z</a>(&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;</h4></section></summary><div class="docblock"><p>Returns the $z$ value for this fixed point.</p>
+</div></details></div><h2 id="provided-methods" class="small-section-header">Provided Methods<a href="#provided-methods" class="anchor">§</a></h2><div class="methods"><details class="toggle method-toggle" open><summary><section id="method.lagrange_coeffs" class="method"><a class="src rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#223-225">source</a><h4 class="code-header">fn <a href="#method.lagrange_coeffs" class="fn">lagrange_coeffs</a>(&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;[C::Base; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.array.html">8</a>]&gt;</h4></section></summary><div class="docblock"><p>Returns the Lagrange coefficients for this fixed point.</p>
 </div></details></div><h2 id="implementors" class="small-section-header">Implementors<a href="#implementors" class="anchor">§</a></h2><div id="implementors-list"></div><script src="../../../implementors/halo2_gadgets/ecc/chip/trait.FixedPoint.js" async></script></section></div></main></body></html>

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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="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">FixedScalarKind</a></h2><div class="sidebar-elems"><section><h3><a href="#required-associated-consts">Required Associated Constants</a></h3><ul class="block"><li><a href="#associatedconstant.NUM_WINDOWS">NUM_WINDOWS</a></li></ul><h3><a href="#implementors">Implementors</a></h3></section><h2><a href="index.html">In halo2_gadgets::ecc::chip</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Trait <a href="../../index.html">halo2_gadgets</a>::<wbr><a href="../index.html">ecc</a>::<wbr><a href="index.html">chip</a>::<wbr><a class="trait" href="#">FixedScalarKind</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../../src/halo2_gadgets/ecc/chip.rs.html#170-173">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub trait FixedScalarKind {
+</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="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">FixedScalarKind</a></h2><div class="sidebar-elems"><section><h3><a href="#required-associated-consts">Required Associated Constants</a></h3><ul class="block"><li><a href="#associatedconstant.NUM_WINDOWS">NUM_WINDOWS</a></li></ul><h3><a href="#implementors">Implementors</a></h3></section><h2><a href="index.html">In halo2_gadgets::ecc::chip</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Trait <a href="../../index.html">halo2_gadgets</a>::<wbr><a href="../index.html">ecc</a>::<wbr><a href="index.html">chip</a>::<wbr><a class="trait" href="#">FixedScalarKind</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_gadgets/ecc/chip.rs.html#170-173">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><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><details class="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="toggle" open><summary><section id="associatedconstant.NUM_WINDOWS" class="method"><a class="srclink rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#172">source</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></h4></section></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 id="implementors-list"><details class="toggle implementors-toggle"><summary><section id="impl-FixedScalarKind-for-BaseFieldElem" class="impl"><a class="srclink rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#195-197">source</a><a href="#impl-FixedScalarKind-for-BaseFieldElem" class="anchor">§</a><h3 class="code-header">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"><a class="srclink rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#196">source</a><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="toggle implementors-toggle"><summary><section id="impl-FixedScalarKind-for-FullScalar" class="impl"><a class="srclink rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#179-181">source</a><a href="#impl-FixedScalarKind-for-FullScalar" class="anchor">§</a><h3 class="code-header">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"><a class="srclink rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#180">source</a><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="toggle implementors-toggle"><summary><section id="impl-FixedScalarKind-for-ShortScalar" class="impl"><a class="srclink rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#187-189">source</a><a href="#impl-FixedScalarKind-for-ShortScalar" class="anchor">§</a><h3 class="code-header">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"><a class="srclink rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#188">source</a><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 src="../../../implementors/halo2_gadgets/ecc/chip/trait.FixedScalarKind.js" async></script></section></div></main></body></html>
+</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="toggle" open><summary><section id="associatedconstant.NUM_WINDOWS" class="method"><a class="src rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#172">source</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></h4></section></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 id="implementors-list"><details class="toggle implementors-toggle"><summary><section id="impl-FixedScalarKind-for-BaseFieldElem" class="impl"><a class="src rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#195-197">source</a><a href="#impl-FixedScalarKind-for-BaseFieldElem" class="anchor">§</a><h3 class="code-header">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"><a class="src rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#196">source</a><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="toggle implementors-toggle"><summary><section id="impl-FixedScalarKind-for-FullScalar" class="impl"><a class="src rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#179-181">source</a><a href="#impl-FixedScalarKind-for-FullScalar" class="anchor">§</a><h3 class="code-header">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"><a class="src rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#180">source</a><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="toggle implementors-toggle"><summary><section id="impl-FixedScalarKind-for-ShortScalar" class="impl"><a class="src rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#187-189">source</a><a href="#impl-FixedScalarKind-for-ShortScalar" class="anchor">§</a><h3 class="code-header">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"><a class="src rightside" href="../../../src/halo2_gadgets/ecc/chip.rs.html#188">source</a><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 src="../../../implementors/halo2_gadgets/ecc/chip/trait.FixedScalarKind.js" async></script></section></div></main></body></html>

rustdoc/latest/halo2_gadgets/ecc/index.html

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-<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Elliptic curve operations."><title>halo2_gadgets::ecc - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../static.files/rustdoc-f3501f0f5ae15dfb.css" id="mainThemeStyle"><div id="rustdoc-vars" data-root-path="../../" data-static-root-path="../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.71.0-nightly (8b4b20836 2023-05-22)" data-search-js="search-4926e5fc22a5646a.js" data-settings-js="settings-de11bff964e9d4e5.js" data-settings-css="settings-6f6ffb5395b17c6e.css" data-theme-light-css="light-0f8c037637f9eb3e.css" data-theme-dark-css="dark-1097f8e92a01e3cf.css" data-theme-ayu-css="ayu-614652228113ac93.css" ></div><script src="../../static.files/storage-62ce34ea385b278a.js"></script><script defer src="../../static.files/main-f0540c1d82cde29b.js"></script><noscript><link rel="stylesheet" media="(prefers-color-scheme:light)" href="../../static.files/light-0f8c037637f9eb3e.css"><link rel="stylesheet" media="(prefers-color-scheme:dark)" href="../../static.files/dark-1097f8e92a01e3cf.css"><link rel="stylesheet" href="../../static.files/noscript-13285aec31fa243e.css"></noscript><link rel="alternate icon" type="image/png" href="../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
+<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Elliptic curve operations."><title>halo2_gadgets::ecc - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../static.files/rustdoc-fa3bb1812debf86c.css"><meta name="rustdoc-vars" data-root-path="../../" data-static-root-path="../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.75.0-nightly (2bbb61989 2023-10-04)" data-channel="nightly" data-search-js="search-8be46b629f5f14a8.js" data-settings-js="settings-74424d7eec62a23e.js" ><script src="../../static.files/storage-fec3eaa3851e447d.js"></script><script defer src="../../static.files/main-c5bd66d33317d69f.js"></script><noscript><link rel="stylesheet" href="../../static.files/noscript-5d8b3c7633ad77ba.css"></noscript><link rel="alternate icon" type="image/png" href="../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
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-</head><body class="rustdoc mod"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">Module ecc</a></h2><div class="sidebar-elems"><section><ul class="block"><li><a href="#modules">Modules</a></li><li><a href="#structs">Structs</a></li><li><a href="#traits">Traits</a></li></ul></section></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Module <a href="../index.html">halo2_gadgets</a>::<wbr><a class="mod" href="#">ecc</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../src/halo2_gadgets/ecc.rs.html#1-918">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Elliptic curve operations.</p>
+</head><body class="rustdoc mod"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">Module ecc</a></h2><div class="sidebar-elems"><section><ul class="block"><li><a href="#modules">Modules</a></li><li><a href="#structs">Structs</a></li><li><a href="#traits">Traits</a></li></ul></section></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Module <a href="../index.html">halo2_gadgets</a>::<wbr><a class="mod" href="#">ecc</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../src/halo2_gadgets/ecc.rs.html#1-918">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Elliptic curve operations.</p>
 </div></details><h2 id="modules" class="small-section-header"><a href="#modules">Modules</a></h2><ul class="item-table"><li><div class="item-name"><a class="mod" href="chip/index.html" title="mod halo2_gadgets::ecc::chip">chip</a></div><div class="desc docblock-short">Chip implementations for the ECC gadgets.</div></li></ul><h2 id="structs" class="small-section-header"><a href="#structs">Structs</a></h2><ul class="item-table"><li><div class="item-name"><a class="struct" href="struct.FixedPoint.html" title="struct halo2_gadgets::ecc::FixedPoint">FixedPoint</a></div><div class="desc docblock-short">Precomputed multiples of a fixed point, for full-width scalar multiplication.</div></li><li><div class="item-name"><a class="struct" href="struct.FixedPointBaseField.html" title="struct halo2_gadgets::ecc::FixedPointBaseField">FixedPointBaseField</a></div><div class="desc docblock-short">Precomputed multiples of a fixed point, that can be multiplied by base-field elements.</div></li><li><div class="item-name"><a class="struct" href="struct.FixedPointShort.html" title="struct halo2_gadgets::ecc::FixedPointShort">FixedPointShort</a></div><div class="desc docblock-short">Precomputed multiples of a fixed point, for short signed scalar multiplication.</div></li><li><div class="item-name"><a class="struct" href="struct.NonIdentityPoint.html" title="struct halo2_gadgets::ecc::NonIdentityPoint">NonIdentityPoint</a></div><div class="desc docblock-short">A point on a specific elliptic curve that is guaranteed to not be the identity.</div></li><li><div class="item-name"><a class="struct" href="struct.Point.html" title="struct halo2_gadgets::ecc::Point">Point</a></div><div class="desc docblock-short">A point on a specific elliptic curve.</div></li><li><div class="item-name"><a class="struct" href="struct.ScalarFixed.html" title="struct halo2_gadgets::ecc::ScalarFixed">ScalarFixed</a></div><div class="desc docblock-short">An integer representing an element of the scalar field for a specific elliptic curve,
 for <a href="struct.FixedPoint.html" title="struct halo2_gadgets::ecc::FixedPoint"><code>FixedPoint</code></a> scalar multiplication.</div></li><li><div class="item-name"><a class="struct" href="struct.ScalarFixedShort.html" title="struct halo2_gadgets::ecc::ScalarFixedShort">ScalarFixedShort</a></div><div class="desc docblock-short">A signed short (64-bit) integer represented as an element of the scalar field for a
 specific elliptic curve, to be used for <a href="struct.FixedPointShort.html" title="struct halo2_gadgets::ecc::FixedPointShort"><code>FixedPointShort</code></a> scalar multiplication.</div></li><li><div class="item-name"><a class="struct" href="struct.ScalarVar.html" title="struct halo2_gadgets::ecc::ScalarVar">ScalarVar</a></div><div class="desc docblock-short">An integer representing an element of the scalar field for a specific elliptic curve.</div></li><li><div class="item-name"><a class="struct" href="struct.X.html" title="struct halo2_gadgets::ecc::X">X</a></div><div class="desc docblock-short">The affine short Weierstrass x-coordinate of a point on a specific elliptic curve.</div></li></ul><h2 id="traits" class="small-section-header"><a href="#traits">Traits</a></h2><ul class="item-table"><li><div class="item-name"><a class="trait" href="trait.BaseFitsInScalarInstructions.html" title="trait halo2_gadgets::ecc::BaseFitsInScalarInstructions">BaseFitsInScalarInstructions</a></div><div class="desc docblock-short">Instructions that can be implemented for a curve whose base field fits into

rustdoc/latest/halo2_gadgets/ecc/trait.BaseFitsInScalarInstructions.html

@@ -1,4 +1,4 @@
-<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Instructions that can be implemented for a curve whose base field fits into its scalar field."><title>BaseFitsInScalarInstructions in halo2_gadgets::ecc - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../static.files/rustdoc-f3501f0f5ae15dfb.css" id="mainThemeStyle"><div id="rustdoc-vars" data-root-path="../../" data-static-root-path="../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.71.0-nightly (8b4b20836 2023-05-22)" data-search-js="search-4926e5fc22a5646a.js" data-settings-js="settings-de11bff964e9d4e5.js" data-settings-css="settings-6f6ffb5395b17c6e.css" data-theme-light-css="light-0f8c037637f9eb3e.css" data-theme-dark-css="dark-1097f8e92a01e3cf.css" data-theme-ayu-css="ayu-614652228113ac93.css" ></div><script src="../../static.files/storage-62ce34ea385b278a.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../static.files/main-f0540c1d82cde29b.js"></script><noscript><link rel="stylesheet" media="(prefers-color-scheme:light)" href="../../static.files/light-0f8c037637f9eb3e.css"><link rel="stylesheet" media="(prefers-color-scheme:dark)" href="../../static.files/dark-1097f8e92a01e3cf.css"><link rel="stylesheet" href="../../static.files/noscript-13285aec31fa243e.css"></noscript><link rel="alternate icon" type="image/png" href="../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
+<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Instructions that can be implemented for a curve whose base field fits into its scalar field."><title>BaseFitsInScalarInstructions in halo2_gadgets::ecc - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../static.files/rustdoc-fa3bb1812debf86c.css"><meta name="rustdoc-vars" data-root-path="../../" data-static-root-path="../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.75.0-nightly (2bbb61989 2023-10-04)" data-channel="nightly" data-search-js="search-8be46b629f5f14a8.js" data-settings-js="settings-74424d7eec62a23e.js" ><script src="../../static.files/storage-fec3eaa3851e447d.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../static.files/main-c5bd66d33317d69f.js"></script><noscript><link rel="stylesheet" href="../../static.files/noscript-5d8b3c7633ad77ba.css"></noscript><link rel="alternate icon" type="image/png" href="../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
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 </script>
-</head><body class="rustdoc trait"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">BaseFitsInScalarInstructions</a></h2><div class="sidebar-elems"><section><h3><a href="#required-methods">Required Methods</a></h3><ul class="block"><li><a href="#tymethod.scalar_var_from_base">scalar_var_from_base</a></li></ul><h3><a href="#implementors">Implementors</a></h3></section><h2><a href="index.html">In halo2_gadgets::ecc</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>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" title="Copy item path to clipboard"><img src="../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../src/halo2_gadgets/ecc.rs.html#152-160">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub trait BaseFitsInScalarInstructions&lt;C: CurveAffine&gt;: <a class="trait" href="trait.EccInstructions.html" title="trait halo2_gadgets::ecc::EccInstructions">EccInstructions</a>&lt;C&gt; {
+</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="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">BaseFitsInScalarInstructions</a></h2><div class="sidebar-elems"><section><h3><a href="#required-methods">Required Methods</a></h3><ul class="block"><li><a href="#tymethod.scalar_var_from_base">scalar_var_from_base</a></li></ul><h3><a href="#implementors">Implementors</a></h3></section><h2><a href="index.html">In halo2_gadgets::ecc</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>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" title="Copy item path to clipboard"><img src="../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../src/halo2_gadgets/ecc.rs.html#152-160">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub trait BaseFitsInScalarInstructions&lt;C: CurveAffine&gt;: <a class="trait" href="trait.EccInstructions.html" title="trait halo2_gadgets::ecc::EccInstructions">EccInstructions</a>&lt;C&gt; {
     // Required method
     fn <a href="#tymethod.scalar_var_from_base" class="fn">scalar_var_from_base</a>(
         &amp;self,
-        layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
+        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;,
         base: &amp;Self::<a class="associatedtype" href="../utilities/trait.UtilitiesInstructions.html#associatedtype.Var" title="type halo2_gadgets::utilities::UtilitiesInstructions::Var">Var</a>
-    ) -&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>, Error&gt;;
+    ) -&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><details class="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="toggle method-toggle" open><summary><section id="tymethod.scalar_var_from_base" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#155-159">source</a><h4 class="code-header">fn <a href="#tymethod.scalar_var_from_base" class="fn">scalar_var_from_base</a>(
+</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="toggle method-toggle" open><summary><section id="tymethod.scalar_var_from_base" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#155-159">source</a><h4 class="code-header">fn <a href="#tymethod.scalar_var_from_base" class="fn">scalar_var_from_base</a>(
     &amp;self,
-    layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
+    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;,
     base: &amp;Self::<a class="associatedtype" href="../utilities/trait.UtilitiesInstructions.html#associatedtype.Var" title="type halo2_gadgets::utilities::UtilitiesInstructions::Var">Var</a>
-) -&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>, Error&gt;</h4></section></summary><div class="docblock"><p>Converts a base field element that exists as a variable in the circuit
+) -&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.</p>
-</div></details></div><h2 id="implementors" class="small-section-header">Implementors<a href="#implementors" class="anchor">§</a></h2><div id="implementors-list"><section id="impl-BaseFitsInScalarInstructions%3CEpAffine%3E-for-EccChip%3CFixed%3E" class="impl"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc/chip.rs.html#597-614">source</a><a href="#impl-BaseFitsInScalarInstructions%3CEpAffine%3E-for-EccChip%3CFixed%3E" class="anchor">§</a><h3 class="code-header">impl&lt;Fixed: <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
+</div></details></div><h2 id="implementors" class="small-section-header">Implementors<a href="#implementors" class="anchor">§</a></h2><div id="implementors-list"><section id="impl-BaseFitsInScalarInstructions%3CEpAffine%3E-for-EccChip%3CFixed%3E" class="impl"><a class="src rightside" href="../../src/halo2_gadgets/ecc/chip.rs.html#597-614">source</a><a href="#impl-BaseFitsInScalarInstructions%3CEpAffine%3E-for-EccChip%3CFixed%3E" class="anchor">§</a><h3 class="code-header">impl&lt;Fixed: <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
     &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;,
     &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;,
     &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;,</span></h3></section></div><script src="../../implementors/halo2_gadgets/ecc/trait.BaseFitsInScalarInstructions.js" async></script></section></div></main></body></html>

rustdoc/latest/halo2_gadgets/ecc/trait.EccInstructions.html

@@ -1,4 +1,4 @@
-<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="The set of circuit instructions required to use the ECC gadgets."><title>EccInstructions in halo2_gadgets::ecc - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../static.files/rustdoc-f3501f0f5ae15dfb.css" id="mainThemeStyle"><div id="rustdoc-vars" data-root-path="../../" data-static-root-path="../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.71.0-nightly (8b4b20836 2023-05-22)" data-search-js="search-4926e5fc22a5646a.js" data-settings-js="settings-de11bff964e9d4e5.js" data-settings-css="settings-6f6ffb5395b17c6e.css" data-theme-light-css="light-0f8c037637f9eb3e.css" data-theme-dark-css="dark-1097f8e92a01e3cf.css" data-theme-ayu-css="ayu-614652228113ac93.css" ></div><script src="../../static.files/storage-62ce34ea385b278a.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../static.files/main-f0540c1d82cde29b.js"></script><noscript><link rel="stylesheet" media="(prefers-color-scheme:light)" href="../../static.files/light-0f8c037637f9eb3e.css"><link rel="stylesheet" media="(prefers-color-scheme:dark)" href="../../static.files/dark-1097f8e92a01e3cf.css"><link rel="stylesheet" href="../../static.files/noscript-13285aec31fa243e.css"></noscript><link rel="alternate icon" type="image/png" href="../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
+<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="The set of circuit instructions required to use the ECC gadgets."><title>EccInstructions in halo2_gadgets::ecc - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../static.files/rustdoc-fa3bb1812debf86c.css"><meta name="rustdoc-vars" data-root-path="../../" data-static-root-path="../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.75.0-nightly (2bbb61989 2023-10-04)" data-channel="nightly" data-search-js="search-8be46b629f5f14a8.js" data-settings-js="settings-74424d7eec62a23e.js" ><script src="../../static.files/storage-fec3eaa3851e447d.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../static.files/main-c5bd66d33317d69f.js"></script><noscript><link rel="stylesheet" href="../../static.files/noscript-5d8b3c7633ad77ba.css"></noscript><link rel="alternate icon" type="image/png" href="../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
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@@ -13,7 +13,7 @@
         });
     });
 </script>
-</head><body class="rustdoc trait"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">EccInstructions</a></h2><div class="sidebar-elems"><section><h3><a href="#required-associated-types">Required Associated Types</a></h3><ul class="block"><li><a href="#associatedtype.FixedPoints">FixedPoints</a></li><li><a href="#associatedtype.NonIdentityPoint">NonIdentityPoint</a></li><li><a href="#associatedtype.Point">Point</a></li><li><a href="#associatedtype.ScalarFixed">ScalarFixed</a></li><li><a href="#associatedtype.ScalarFixedShort">ScalarFixedShort</a></li><li><a href="#associatedtype.ScalarVar">ScalarVar</a></li><li><a href="#associatedtype.X">X</a></li></ul><h3><a href="#required-methods">Required Methods</a></h3><ul class="block"><li><a href="#tymethod.add">add</a></li><li><a href="#tymethod.add_incomplete">add_incomplete</a></li><li><a href="#tymethod.constrain_equal">constrain_equal</a></li><li><a href="#tymethod.extract_p">extract_p</a></li><li><a href="#tymethod.mul">mul</a></li><li><a href="#tymethod.mul_fixed">mul_fixed</a></li><li><a href="#tymethod.mul_fixed_base_field_elem">mul_fixed_base_field_elem</a></li><li><a href="#tymethod.mul_fixed_short">mul_fixed_short</a></li><li><a href="#tymethod.scalar_fixed_from_signed_short">scalar_fixed_from_signed_short</a></li><li><a href="#tymethod.witness_point">witness_point</a></li><li><a href="#tymethod.witness_point_non_id">witness_point_non_id</a></li><li><a href="#tymethod.witness_scalar_fixed">witness_scalar_fixed</a></li><li><a href="#tymethod.witness_scalar_var">witness_scalar_var</a></li></ul><h3><a href="#implementors">Implementors</a></h3></section><h2><a href="index.html">In halo2_gadgets::ecc</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Trait <a href="../index.html">halo2_gadgets</a>::<wbr><a href="index.html">ecc</a>::<wbr><a class="trait" href="#">EccInstructions</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../src/halo2_gadgets/ecc.rs.html#16-148">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub trait EccInstructions&lt;C: CurveAffine&gt;: Chip&lt;C::Base&gt; + <a class="trait" href="../utilities/trait.UtilitiesInstructions.html" title="trait halo2_gadgets::utilities::UtilitiesInstructions">UtilitiesInstructions</a>&lt;C::Base&gt; + <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="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> {
+</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="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">EccInstructions</a></h2><div class="sidebar-elems"><section><h3><a href="#required-associated-types">Required Associated Types</a></h3><ul class="block"><li><a href="#associatedtype.FixedPoints">FixedPoints</a></li><li><a href="#associatedtype.NonIdentityPoint">NonIdentityPoint</a></li><li><a href="#associatedtype.Point">Point</a></li><li><a href="#associatedtype.ScalarFixed">ScalarFixed</a></li><li><a href="#associatedtype.ScalarFixedShort">ScalarFixedShort</a></li><li><a href="#associatedtype.ScalarVar">ScalarVar</a></li><li><a href="#associatedtype.X">X</a></li></ul><h3><a href="#required-methods">Required Methods</a></h3><ul class="block"><li><a href="#tymethod.add">add</a></li><li><a href="#tymethod.add_incomplete">add_incomplete</a></li><li><a href="#tymethod.constrain_equal">constrain_equal</a></li><li><a href="#tymethod.extract_p">extract_p</a></li><li><a href="#tymethod.mul">mul</a></li><li><a href="#tymethod.mul_fixed">mul_fixed</a></li><li><a href="#tymethod.mul_fixed_base_field_elem">mul_fixed_base_field_elem</a></li><li><a href="#tymethod.mul_fixed_short">mul_fixed_short</a></li><li><a href="#tymethod.scalar_fixed_from_signed_short">scalar_fixed_from_signed_short</a></li><li><a href="#tymethod.witness_point">witness_point</a></li><li><a href="#tymethod.witness_point_non_id">witness_point_non_id</a></li><li><a href="#tymethod.witness_scalar_fixed">witness_scalar_fixed</a></li><li><a href="#tymethod.witness_scalar_var">witness_scalar_var</a></li></ul><h3><a href="#implementors">Implementors</a></h3></section><h2><a href="index.html">In halo2_gadgets::ecc</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Trait <a href="../index.html">halo2_gadgets</a>::<wbr><a href="index.html">ecc</a>::<wbr><a class="trait" href="#">EccInstructions</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../src/halo2_gadgets/ecc.rs.html#16-148">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub trait EccInstructions&lt;C: CurveAffine&gt;: <a class="trait" href="../../halo2_proofs/circuit/trait.Chip.html" title="trait halo2_proofs::circuit::Chip">Chip</a>&lt;C::Base&gt; + <a class="trait" href="../utilities/trait.UtilitiesInstructions.html" title="trait halo2_gadgets::utilities::UtilitiesInstructions">UtilitiesInstructions</a>&lt;C::Base&gt; + <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="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> {
     type <a href="#associatedtype.ScalarVar" class="associatedtype">ScalarVar</a>: <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="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a>;
     type <a href="#associatedtype.ScalarFixed" class="associatedtype">ScalarFixed</a>: <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="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a>;
     type <a href="#associatedtype.ScalarFixedShort" class="associatedtype">ScalarFixedShort</a>: <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="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a>;
@@ -25,167 +25,167 @@
 <details class="toggle type-contents-toggle"><summary class="hideme"><span>Show 13 methods</span></summary>    // Required methods
     fn <a href="#tymethod.constrain_equal" class="fn">constrain_equal</a>(
         &amp;self,
-        layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
+        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;,
         a: &amp;Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>,
         b: &amp;Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>
-    ) -&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>, Error&gt;;
+    ) -&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;;
 <span class="item-spacer"></span>    fn <a href="#tymethod.witness_point" class="fn">witness_point</a>(
         &amp;self,
-        layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
-        value: Value&lt;C&gt;
-    ) -&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>, Error&gt;;
+        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;,
+        value: <a class="struct" href="../../halo2_proofs/circuit/value/struct.Value.html" title="struct halo2_proofs::circuit::value::Value">Value</a>&lt;C&gt;
+    ) -&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;;
 <span class="item-spacer"></span>    fn <a href="#tymethod.witness_point_non_id" class="fn">witness_point_non_id</a>(
         &amp;self,
-        layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
-        value: Value&lt;C&gt;
-    ) -&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>, Error&gt;;
+        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;,
+        value: <a class="struct" href="../../halo2_proofs/circuit/value/struct.Value.html" title="struct halo2_proofs::circuit::value::Value">Value</a>&lt;C&gt;
+    ) -&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;;
 <span class="item-spacer"></span>    fn <a href="#tymethod.witness_scalar_var" class="fn">witness_scalar_var</a>(
         &amp;self,
-        layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
-        value: Value&lt;C::Scalar&gt;
-    ) -&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>, Error&gt;;
+        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;,
+        value: <a class="struct" href="../../halo2_proofs/circuit/value/struct.Value.html" title="struct halo2_proofs::circuit::value::Value">Value</a>&lt;C::Scalar&gt;
+    ) -&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;;
 <span class="item-spacer"></span>    fn <a href="#tymethod.witness_scalar_fixed" class="fn">witness_scalar_fixed</a>(
         &amp;self,
-        layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
-        value: Value&lt;C::Scalar&gt;
-    ) -&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.ScalarFixed" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixed">ScalarFixed</a>, Error&gt;;
+        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;,
+        value: <a class="struct" href="../../halo2_proofs/circuit/value/struct.Value.html" title="struct halo2_proofs::circuit::value::Value">Value</a>&lt;C::Scalar&gt;
+    ) -&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.ScalarFixed" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixed">ScalarFixed</a>, <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;;
 <span class="item-spacer"></span>    fn <a href="#tymethod.scalar_fixed_from_signed_short" class="fn">scalar_fixed_from_signed_short</a>(
         &amp;self,
-        layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
+        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;,
         magnitude_sign: (Self::<a class="associatedtype" href="../utilities/trait.UtilitiesInstructions.html#associatedtype.Var" title="type halo2_gadgets::utilities::UtilitiesInstructions::Var">Var</a>, Self::<a class="associatedtype" href="../utilities/trait.UtilitiesInstructions.html#associatedtype.Var" title="type halo2_gadgets::utilities::UtilitiesInstructions::Var">Var</a>)
-    ) -&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.ScalarFixedShort" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixedShort">ScalarFixedShort</a>, Error&gt;;
+    ) -&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.ScalarFixedShort" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixedShort">ScalarFixedShort</a>, <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;;
 <span class="item-spacer"></span>    fn <a href="#tymethod.extract_p" class="fn">extract_p</a>&lt;Point: <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;Point</a>) -&gt; Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.X" title="type halo2_gadgets::ecc::EccInstructions::X">X</a>;
 <span class="item-spacer"></span>    fn <a href="#tymethod.add_incomplete" class="fn">add_incomplete</a>(
         &amp;self,
-        layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
+        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;,
         a: &amp;Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>,
         b: &amp;Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>
-    ) -&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>, Error&gt;;
+    ) -&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;;
 <span class="item-spacer"></span>    fn <a href="#tymethod.add" class="fn">add</a>&lt;A: <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: <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;(
         &amp;self,
-        layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
+        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;,
         a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;A</a>,
         b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;B</a>
-    ) -&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>, Error&gt;;
+    ) -&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;;
 <span class="item-spacer"></span>    fn <a href="#tymethod.mul" class="fn">mul</a>(
         &amp;self,
-        layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
+        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;,
         scalar: &amp;Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarVar" title="type halo2_gadgets::ecc::EccInstructions::ScalarVar">ScalarVar</a>,
         base: &amp;Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>
-    ) -&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>, Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarVar" title="type halo2_gadgets::ecc::EccInstructions::ScalarVar">ScalarVar</a>), Error&gt;;
+    ) -&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>, 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;;
 <span class="item-spacer"></span>    fn <a href="#tymethod.mul_fixed" class="fn">mul_fixed</a>(
         &amp;self,
-        layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
+        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;,
         scalar: &amp;Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixed" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixed">ScalarFixed</a>,
         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;C&gt;&gt;::<a class="associatedtype" href="trait.FixedPoints.html#associatedtype.FullScalar" title="type halo2_gadgets::ecc::FixedPoints::FullScalar">FullScalar</a>
-    ) -&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>, Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixed" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixed">ScalarFixed</a>), Error&gt;;
+    ) -&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>, Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixed" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixed">ScalarFixed</a>), <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;;
 <span class="item-spacer"></span>    fn <a href="#tymethod.mul_fixed_short" class="fn">mul_fixed_short</a>(
         &amp;self,
-        layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
+        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;,
         scalar: &amp;Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixedShort" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixedShort">ScalarFixedShort</a>,
         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;C&gt;&gt;::<a class="associatedtype" href="trait.FixedPoints.html#associatedtype.ShortScalar" title="type halo2_gadgets::ecc::FixedPoints::ShortScalar">ShortScalar</a>
-    ) -&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>, Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixedShort" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixedShort">ScalarFixedShort</a>), Error&gt;;
+    ) -&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>, Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixedShort" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixedShort">ScalarFixedShort</a>), <a class="enum" href="../../halo2_proofs/plonk/error/enum.Error.html" title="enum halo2_proofs::plonk::error::Error">Error</a>&gt;;
 <span class="item-spacer"></span>    fn <a href="#tymethod.mul_fixed_base_field_elem" class="fn">mul_fixed_base_field_elem</a>(
         &amp;self,
-        layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
+        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;,
         base_field_elem: Self::<a class="associatedtype" href="../utilities/trait.UtilitiesInstructions.html#associatedtype.Var" title="type halo2_gadgets::utilities::UtilitiesInstructions::Var">Var</a>,
         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;C&gt;&gt;::<a class="associatedtype" href="trait.FixedPoints.html#associatedtype.Base" title="type halo2_gadgets::ecc::FixedPoints::Base">Base</a>
-    ) -&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>, Error&gt;;
+    ) -&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;;
 </details>}</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>The set of circuit instructions required to use the ECC gadgets.</p>
-</div></details><h2 id="required-associated-types" class="small-section-header">Required Associated Types<a href="#required-associated-types" class="anchor">§</a></h2><div class="methods"><details class="toggle" open><summary><section id="associatedtype.ScalarVar" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#24">source</a><h4 class="code-header">type <a href="#associatedtype.ScalarVar" class="associatedtype">ScalarVar</a>: <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="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a></h4></section></summary><div class="docblock"><p>Variable representing a scalar used in variable-base scalar mul.</p>
+</div></details><h2 id="required-associated-types" class="small-section-header">Required Associated Types<a href="#required-associated-types" class="anchor">§</a></h2><div class="methods"><details class="toggle" open><summary><section id="associatedtype.ScalarVar" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#24">source</a><h4 class="code-header">type <a href="#associatedtype.ScalarVar" class="associatedtype">ScalarVar</a>: <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="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a></h4></section></summary><div class="docblock"><p>Variable representing a scalar used in variable-base scalar mul.</p>
 <p>This type is treated as a full-width scalar. However, if <code>Self</code> implements
 <a href="trait.BaseFitsInScalarInstructions.html" title="trait halo2_gadgets::ecc::BaseFitsInScalarInstructions"><code>BaseFitsInScalarInstructions</code></a> then this may also be constructed from an element
 of the base field.</p>
-</div></details><details class="toggle" open><summary><section id="associatedtype.ScalarFixed" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#27">source</a><h4 class="code-header">type <a href="#associatedtype.ScalarFixed" class="associatedtype">ScalarFixed</a>: <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="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a></h4></section></summary><div class="docblock"><p>Variable representing a full-width element of the elliptic curve’s
+</div></details><details class="toggle" open><summary><section id="associatedtype.ScalarFixed" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#27">source</a><h4 class="code-header">type <a href="#associatedtype.ScalarFixed" class="associatedtype">ScalarFixed</a>: <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="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a></h4></section></summary><div class="docblock"><p>Variable representing a full-width element of the elliptic curve’s
 scalar field, to be used for fixed-base scalar mul.</p>
-</div></details><details class="toggle" open><summary><section id="associatedtype.ScalarFixedShort" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#32">source</a><h4 class="code-header">type <a href="#associatedtype.ScalarFixedShort" class="associatedtype">ScalarFixedShort</a>: <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="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a></h4></section></summary><div class="docblock"><p>Variable representing a signed short element of the elliptic curve’s
+</div></details><details class="toggle" open><summary><section id="associatedtype.ScalarFixedShort" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#32">source</a><h4 class="code-header">type <a href="#associatedtype.ScalarFixedShort" class="associatedtype">ScalarFixedShort</a>: <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="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a></h4></section></summary><div class="docblock"><p>Variable representing a signed short element of the elliptic curve’s
 scalar field, to be used for fixed-base scalar mul.</p>
 <p>A <code>ScalarFixedShort</code> must be in the range [-(2^64 - 1), 2^64 - 1].</p>
-</div></details><details class="toggle" open><summary><section id="associatedtype.Point" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#34">source</a><h4 class="code-header">type <a href="#associatedtype.Point" class="associatedtype">Point</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a>&lt;Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>&gt; + <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="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a></h4></section></summary><div class="docblock"><p>Variable representing an elliptic curve point.</p>
-</div></details><details class="toggle" open><summary><section id="associatedtype.NonIdentityPoint" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#36">source</a><h4 class="code-header">type <a href="#associatedtype.NonIdentityPoint" class="associatedtype">NonIdentityPoint</a>: <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="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a></h4></section></summary><div class="docblock"><p>Variable representing a non-identity elliptic curve point.</p>
-</div></details><details class="toggle" open><summary><section id="associatedtype.X" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#39">source</a><h4 class="code-header">type <a href="#associatedtype.X" class="associatedtype">X</a>: <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="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a></h4></section></summary><div class="docblock"><p>Variable representing the affine short Weierstrass x-coordinate of an
+</div></details><details class="toggle" open><summary><section id="associatedtype.Point" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#34">source</a><h4 class="code-header">type <a href="#associatedtype.Point" class="associatedtype">Point</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a>&lt;Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>&gt; + <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="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a></h4></section></summary><div class="docblock"><p>Variable representing an elliptic curve point.</p>
+</div></details><details class="toggle" open><summary><section id="associatedtype.NonIdentityPoint" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#36">source</a><h4 class="code-header">type <a href="#associatedtype.NonIdentityPoint" class="associatedtype">NonIdentityPoint</a>: <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="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a></h4></section></summary><div class="docblock"><p>Variable representing a non-identity elliptic curve point.</p>
+</div></details><details class="toggle" open><summary><section id="associatedtype.X" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#39">source</a><h4 class="code-header">type <a href="#associatedtype.X" class="associatedtype">X</a>: <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="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a></h4></section></summary><div class="docblock"><p>Variable representing the affine short Weierstrass x-coordinate of an
 elliptic curve point.</p>
-</div></details><details class="toggle" open><summary><section id="associatedtype.FixedPoints" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#44">source</a><h4 class="code-header">type <a href="#associatedtype.FixedPoints" class="associatedtype">FixedPoints</a>: <a class="trait" href="trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;C&gt;</h4></section></summary><div class="docblock"><p>Enumeration of the set of fixed bases to be used in scalar mul.
+</div></details><details class="toggle" open><summary><section id="associatedtype.FixedPoints" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#44">source</a><h4 class="code-header">type <a href="#associatedtype.FixedPoints" class="associatedtype">FixedPoints</a>: <a class="trait" href="trait.FixedPoints.html" title="trait halo2_gadgets::ecc::FixedPoints">FixedPoints</a>&lt;C&gt;</h4></section></summary><div class="docblock"><p>Enumeration of the set of fixed bases to be used in scalar mul.
 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.</p>
-</div></details></div><h2 id="required-methods" class="small-section-header">Required Methods<a href="#required-methods" class="anchor">§</a></h2><div class="methods"><details class="toggle method-toggle" open><summary><section id="tymethod.constrain_equal" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#47-52">source</a><h4 class="code-header">fn <a href="#tymethod.constrain_equal" class="fn">constrain_equal</a>(
+</div></details></div><h2 id="required-methods" class="small-section-header">Required Methods<a href="#required-methods" class="anchor">§</a></h2><div class="methods"><details class="toggle method-toggle" open><summary><section id="tymethod.constrain_equal" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#47-52">source</a><h4 class="code-header">fn <a href="#tymethod.constrain_equal" class="fn">constrain_equal</a>(
     &amp;self,
-    layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
+    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;,
     a: &amp;Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>,
     b: &amp;Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.Point" title="type halo2_gadgets::ecc::EccInstructions::Point">Point</a>
-) -&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>, Error&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="toggle method-toggle" open><summary><section id="tymethod.witness_point" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#57-61">source</a><h4 class="code-header">fn <a href="#tymethod.witness_point" class="fn">witness_point</a>(
+) -&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="toggle method-toggle" open><summary><section id="tymethod.witness_point" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#57-61">source</a><h4 class="code-header">fn <a href="#tymethod.witness_point" class="fn">witness_point</a>(
     &amp;self,
-    layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
-    value: Value&lt;C&gt;
-) -&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>, Error&gt;</h4></section></summary><div class="docblock"><p>Witnesses the given point as a private input to the circuit.
+    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;,
+    value: <a class="struct" href="../../halo2_proofs/circuit/value/struct.Value.html" title="struct halo2_proofs::circuit::value::Value">Value</a>&lt;C&gt;
+) -&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.</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.witness_point_non_id" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#65-69">source</a><h4 class="code-header">fn <a href="#tymethod.witness_point_non_id" class="fn">witness_point_non_id</a>(
+</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.witness_point_non_id" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#65-69">source</a><h4 class="code-header">fn <a href="#tymethod.witness_point_non_id" class="fn">witness_point_non_id</a>(
     &amp;self,
-    layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
-    value: Value&lt;C&gt;
-) -&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>, Error&gt;</h4></section></summary><div class="docblock"><p>Witnesses the given point as a private input to the circuit.
+    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;,
+    value: <a class="struct" href="../../halo2_proofs/circuit/value/struct.Value.html" title="struct halo2_proofs::circuit::value::Value">Value</a>&lt;C&gt;
+) -&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.</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.witness_scalar_var" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#72-76">source</a><h4 class="code-header">fn <a href="#tymethod.witness_scalar_var" class="fn">witness_scalar_var</a>(
+</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.witness_scalar_var" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#72-76">source</a><h4 class="code-header">fn <a href="#tymethod.witness_scalar_var" class="fn">witness_scalar_var</a>(
     &amp;self,
-    layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
-    value: Value&lt;C::Scalar&gt;
-) -&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>, Error&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="toggle method-toggle" open><summary><section id="tymethod.witness_scalar_fixed" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#79-83">source</a><h4 class="code-header">fn <a href="#tymethod.witness_scalar_fixed" class="fn">witness_scalar_fixed</a>(
+    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;,
+    value: <a class="struct" href="../../halo2_proofs/circuit/value/struct.Value.html" title="struct halo2_proofs::circuit::value::Value">Value</a>&lt;C::Scalar&gt;
+) -&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="toggle method-toggle" open><summary><section id="tymethod.witness_scalar_fixed" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#79-83">source</a><h4 class="code-header">fn <a href="#tymethod.witness_scalar_fixed" class="fn">witness_scalar_fixed</a>(
     &amp;self,
-    layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
-    value: Value&lt;C::Scalar&gt;
-) -&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.ScalarFixed" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixed">ScalarFixed</a>, Error&gt;</h4></section></summary><div class="docblock"><p>Witnesses a full-width scalar to be used in fixed-base multiplication.</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.scalar_fixed_from_signed_short" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#87-91">source</a><h4 class="code-header">fn <a href="#tymethod.scalar_fixed_from_signed_short" class="fn">scalar_fixed_from_signed_short</a>(
+    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;,
+    value: <a class="struct" href="../../halo2_proofs/circuit/value/struct.Value.html" title="struct halo2_proofs::circuit::value::Value">Value</a>&lt;C::Scalar&gt;
+) -&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.ScalarFixed" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixed">ScalarFixed</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 fixed-base multiplication.</p>
+</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.scalar_fixed_from_signed_short" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#87-91">source</a><h4 class="code-header">fn <a href="#tymethod.scalar_fixed_from_signed_short" class="fn">scalar_fixed_from_signed_short</a>(
     &amp;self,
-    layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
+    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;,
     magnitude_sign: (Self::<a class="associatedtype" href="../utilities/trait.UtilitiesInstructions.html#associatedtype.Var" title="type halo2_gadgets::utilities::UtilitiesInstructions::Var">Var</a>, Self::<a class="associatedtype" href="../utilities/trait.UtilitiesInstructions.html#associatedtype.Var" title="type halo2_gadgets::utilities::UtilitiesInstructions::Var">Var</a>)
-) -&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.ScalarFixedShort" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixedShort">ScalarFixedShort</a>, Error&gt;</h4></section></summary><div class="docblock"><p>Converts a magnitude and sign that exists as variables in the circuit into a
+) -&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.ScalarFixedShort" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixedShort">ScalarFixedShort</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 magnitude and sign that exists as variables in the circuit into a
 signed short scalar to be used in fixed-base scalar multiplication.</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.extract_p" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#94">source</a><h4 class="code-header">fn <a href="#tymethod.extract_p" class="fn">extract_p</a>&lt;Point: <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;Point</a>) -&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="toggle method-toggle" open><summary><section id="tymethod.add_incomplete" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#99-104">source</a><h4 class="code-header">fn <a href="#tymethod.add_incomplete" class="fn">add_incomplete</a>(
+</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.extract_p" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#94">source</a><h4 class="code-header">fn <a href="#tymethod.extract_p" class="fn">extract_p</a>&lt;Point: <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;Point</a>) -&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="toggle method-toggle" open><summary><section id="tymethod.add_incomplete" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#99-104">source</a><h4 class="code-header">fn <a href="#tymethod.add_incomplete" class="fn">add_incomplete</a>(
     &amp;self,
-    layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
+    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;,
     a: &amp;Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>,
     b: &amp;Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>
-) -&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>, Error&gt;</h4></section></summary><div class="docblock"><p>Performs incomplete point addition, returning <code>a + b</code>.</p>
+) -&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>.</p>
 <p>This returns an error in exceptional cases.</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.add" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#107-112">source</a><h4 class="code-header">fn <a href="#tymethod.add" class="fn">add</a>&lt;A: <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: <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;(
+</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.add" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#107-112">source</a><h4 class="code-header">fn <a href="#tymethod.add" class="fn">add</a>&lt;A: <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: <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;(
     &amp;self,
-    layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
+    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;,
     a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;A</a>,
     b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;B</a>
-) -&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>, Error&gt;</h4></section></summary><div class="docblock"><p>Performs complete point addition, returning <code>a + b</code>.</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.mul" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#115-120">source</a><h4 class="code-header">fn <a href="#tymethod.mul" class="fn">mul</a>(
+) -&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="toggle method-toggle" open><summary><section id="tymethod.mul" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#115-120">source</a><h4 class="code-header">fn <a href="#tymethod.mul" class="fn">mul</a>(
     &amp;self,
-    layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
+    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;,
     scalar: &amp;Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarVar" title="type halo2_gadgets::ecc::EccInstructions::ScalarVar">ScalarVar</a>,
     base: &amp;Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.NonIdentityPoint" title="type halo2_gadgets::ecc::EccInstructions::NonIdentityPoint">NonIdentityPoint</a>
-) -&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>, Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarVar" title="type halo2_gadgets::ecc::EccInstructions::ScalarVar">ScalarVar</a>), Error&gt;</h4></section></summary><div class="docblock"><p>Performs variable-base scalar multiplication, returning <code>[scalar] base</code>.</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.mul_fixed" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#123-128">source</a><h4 class="code-header">fn <a href="#tymethod.mul_fixed" class="fn">mul_fixed</a>(
+) -&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>, 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>Performs variable-base scalar multiplication, returning <code>[scalar] base</code>.</p>
+</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.mul_fixed" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#123-128">source</a><h4 class="code-header">fn <a href="#tymethod.mul_fixed" class="fn">mul_fixed</a>(
     &amp;self,
-    layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
+    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;,
     scalar: &amp;Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixed" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixed">ScalarFixed</a>,
     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;C&gt;&gt;::<a class="associatedtype" href="trait.FixedPoints.html#associatedtype.FullScalar" title="type halo2_gadgets::ecc::FixedPoints::FullScalar">FullScalar</a>
-) -&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>, Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixed" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixed">ScalarFixed</a>), Error&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="toggle method-toggle" open><summary><section id="tymethod.mul_fixed_short" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#132-137">source</a><h4 class="code-header">fn <a href="#tymethod.mul_fixed_short" class="fn">mul_fixed_short</a>(
+) -&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>, Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixed" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixed">ScalarFixed</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="toggle method-toggle" open><summary><section id="tymethod.mul_fixed_short" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#132-137">source</a><h4 class="code-header">fn <a href="#tymethod.mul_fixed_short" class="fn">mul_fixed_short</a>(
     &amp;self,
-    layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
+    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;,
     scalar: &amp;Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixedShort" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixedShort">ScalarFixedShort</a>,
     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;C&gt;&gt;::<a class="associatedtype" href="trait.FixedPoints.html#associatedtype.ShortScalar" title="type halo2_gadgets::ecc::FixedPoints::ShortScalar">ShortScalar</a>
-) -&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>, Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixedShort" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixedShort">ScalarFixedShort</a>), Error&gt;</h4></section></summary><div class="docblock"><p>Performs fixed-base scalar multiplication using a short signed scalar, returning
+) -&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>, Self::<a class="associatedtype" href="trait.EccInstructions.html#associatedtype.ScalarFixedShort" title="type halo2_gadgets::ecc::EccInstructions::ScalarFixedShort">ScalarFixedShort</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>[scalar] base</code>.</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.mul_fixed_base_field_elem" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#142-147">source</a><h4 class="code-header">fn <a href="#tymethod.mul_fixed_base_field_elem" class="fn">mul_fixed_base_field_elem</a>(
+</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.mul_fixed_base_field_elem" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#142-147">source</a><h4 class="code-header">fn <a href="#tymethod.mul_fixed_base_field_elem" class="fn">mul_fixed_base_field_elem</a>(
     &amp;self,
-    layouter: &amp;mut impl Layouter&lt;C::Base&gt;,
+    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;,
     base_field_elem: Self::<a class="associatedtype" href="../utilities/trait.UtilitiesInstructions.html#associatedtype.Var" title="type halo2_gadgets::utilities::UtilitiesInstructions::Var">Var</a>,
     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;C&gt;&gt;::<a class="associatedtype" href="trait.FixedPoints.html#associatedtype.Base" title="type halo2_gadgets::ecc::FixedPoints::Base">Base</a>
-) -&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>, Error&gt;</h4></section></summary><div class="docblock"><p>Performs fixed-base scalar multiplication using a base field element as the scalar.
+) -&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.</p>
-</div></details></div><h2 id="implementors" class="small-section-header">Implementors<a href="#implementors" class="anchor">§</a></h2><div id="implementors-list"><details class="toggle implementors-toggle"><summary><section id="impl-EccInstructions%3CEpAffine%3E-for-EccChip%3CFixed%3E" class="impl"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc/chip.rs.html#410-595">source</a><a href="#impl-EccInstructions%3CEpAffine%3E-for-EccChip%3CFixed%3E" class="anchor">§</a><h3 class="code-header">impl&lt;Fixed: <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="chip/struct.EccChip.html" title="struct halo2_gadgets::ecc::chip::EccChip">EccChip</a>&lt;Fixed&gt;<span class="where fmt-newline">where
+</div></details></div><h2 id="implementors" class="small-section-header">Implementors<a href="#implementors" class="anchor">§</a></h2><div id="implementors-list"><details class="toggle implementors-toggle"><summary><section id="impl-EccInstructions%3CEpAffine%3E-for-EccChip%3CFixed%3E" class="impl"><a class="src rightside" href="../../src/halo2_gadgets/ecc/chip.rs.html#410-595">source</a><a href="#impl-EccInstructions%3CEpAffine%3E-for-EccChip%3CFixed%3E" class="anchor">§</a><h3 class="code-header">impl&lt;Fixed: <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="chip/struct.EccChip.html" title="struct halo2_gadgets::ecc::chip::EccChip">EccChip</a>&lt;Fixed&gt;<span class="where fmt-newline">where
     &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;,
     &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;,
-    &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;,</span></h3></section></summary><div class="impl-items"><section id="associatedtype.ScalarFixed-1" class="associatedtype trait-impl"><a href="#associatedtype.ScalarFixed-1" class="anchor">§</a><h4 class="code-header">type <a href="#associatedtype.ScalarFixed" class="associatedtype">ScalarFixed</a> = <a class="struct" href="chip/struct.EccScalarFixed.html" title="struct halo2_gadgets::ecc::chip::EccScalarFixed">EccScalarFixed</a></h4></section><section id="associatedtype.ScalarFixedShort-1" class="associatedtype trait-impl"><a href="#associatedtype.ScalarFixedShort-1" class="anchor">§</a><h4 class="code-header">type <a href="#associatedtype.ScalarFixedShort" class="associatedtype">ScalarFixedShort</a> = <a class="struct" href="chip/struct.EccScalarFixedShort.html" title="struct halo2_gadgets::ecc::chip::EccScalarFixedShort">EccScalarFixedShort</a></h4></section><section id="associatedtype.ScalarVar-1" class="associatedtype trait-impl"><a href="#associatedtype.ScalarVar-1" class="anchor">§</a><h4 class="code-header">type <a href="#associatedtype.ScalarVar" class="associatedtype">ScalarVar</a> = <a class="enum" href="chip/enum.ScalarVar.html" title="enum halo2_gadgets::ecc::chip::ScalarVar">ScalarVar</a></h4></section><section id="associatedtype.Point-1" class="associatedtype trait-impl"><a href="#associatedtype.Point-1" class="anchor">§</a><h4 class="code-header">type <a href="#associatedtype.Point" class="associatedtype">Point</a> = <a class="struct" href="chip/struct.EccPoint.html" title="struct halo2_gadgets::ecc::chip::EccPoint">EccPoint</a></h4></section><section id="associatedtype.NonIdentityPoint-1" class="associatedtype trait-impl"><a href="#associatedtype.NonIdentityPoint-1" class="anchor">§</a><h4 class="code-header">type <a href="#associatedtype.NonIdentityPoint" class="associatedtype">NonIdentityPoint</a> = <a class="struct" href="chip/struct.NonIdentityEccPoint.html" title="struct halo2_gadgets::ecc::chip::NonIdentityEccPoint">NonIdentityEccPoint</a></h4></section><section id="associatedtype.X-1" class="associatedtype trait-impl"><a href="#associatedtype.X-1" class="anchor">§</a><h4 class="code-header">type <a href="#associatedtype.X" class="associatedtype">X</a> = AssignedCell&lt;Fp, Fp&gt;</h4></section><section id="associatedtype.FixedPoints-1" class="associatedtype trait-impl"><a href="#associatedtype.FixedPoints-1" class="anchor">§</a><h4 class="code-header">type <a href="#associatedtype.FixedPoints" class="associatedtype">FixedPoints</a> = Fixed</h4></section></div></details></div><script src="../../implementors/halo2_gadgets/ecc/trait.EccInstructions.js" async></script></section></div></main></body></html>
+    &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;,</span></h3></section></summary><div class="impl-items"><section id="associatedtype.ScalarFixed-1" class="associatedtype trait-impl"><a href="#associatedtype.ScalarFixed-1" class="anchor">§</a><h4 class="code-header">type <a href="#associatedtype.ScalarFixed" class="associatedtype">ScalarFixed</a> = <a class="struct" href="chip/struct.EccScalarFixed.html" title="struct halo2_gadgets::ecc::chip::EccScalarFixed">EccScalarFixed</a></h4></section><section id="associatedtype.ScalarFixedShort-1" class="associatedtype trait-impl"><a href="#associatedtype.ScalarFixedShort-1" class="anchor">§</a><h4 class="code-header">type <a href="#associatedtype.ScalarFixedShort" class="associatedtype">ScalarFixedShort</a> = <a class="struct" href="chip/struct.EccScalarFixedShort.html" title="struct halo2_gadgets::ecc::chip::EccScalarFixedShort">EccScalarFixedShort</a></h4></section><section id="associatedtype.ScalarVar-1" class="associatedtype trait-impl"><a href="#associatedtype.ScalarVar-1" class="anchor">§</a><h4 class="code-header">type <a href="#associatedtype.ScalarVar" class="associatedtype">ScalarVar</a> = <a class="enum" href="chip/enum.ScalarVar.html" title="enum halo2_gadgets::ecc::chip::ScalarVar">ScalarVar</a></h4></section><section id="associatedtype.Point-1" class="associatedtype trait-impl"><a href="#associatedtype.Point-1" class="anchor">§</a><h4 class="code-header">type <a href="#associatedtype.Point" class="associatedtype">Point</a> = <a class="struct" href="chip/struct.EccPoint.html" title="struct halo2_gadgets::ecc::chip::EccPoint">EccPoint</a></h4></section><section id="associatedtype.NonIdentityPoint-1" class="associatedtype trait-impl"><a href="#associatedtype.NonIdentityPoint-1" class="anchor">§</a><h4 class="code-header">type <a href="#associatedtype.NonIdentityPoint" class="associatedtype">NonIdentityPoint</a> = <a class="struct" href="chip/struct.NonIdentityEccPoint.html" title="struct halo2_gadgets::ecc::chip::NonIdentityEccPoint">NonIdentityEccPoint</a></h4></section><section id="associatedtype.X-1" class="associatedtype trait-impl"><a href="#associatedtype.X-1" class="anchor">§</a><h4 class="code-header">type <a href="#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><section id="associatedtype.FixedPoints-1" class="associatedtype trait-impl"><a href="#associatedtype.FixedPoints-1" class="anchor">§</a><h4 class="code-header">type <a href="#associatedtype.FixedPoints" class="associatedtype">FixedPoints</a> = Fixed</h4></section></div></details></div><script src="../../implementors/halo2_gadgets/ecc/trait.EccInstructions.js" async></script></section></div></main></body></html>

rustdoc/latest/halo2_gadgets/ecc/trait.FixedPoints.html

@@ -1,4 +1,4 @@
-<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Defines the fixed points for a given instantiation of the ECC chip."><title>FixedPoints in halo2_gadgets::ecc - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../static.files/rustdoc-f3501f0f5ae15dfb.css" id="mainThemeStyle"><div id="rustdoc-vars" data-root-path="../../" data-static-root-path="../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.71.0-nightly (8b4b20836 2023-05-22)" data-search-js="search-4926e5fc22a5646a.js" data-settings-js="settings-de11bff964e9d4e5.js" data-settings-css="settings-6f6ffb5395b17c6e.css" data-theme-light-css="light-0f8c037637f9eb3e.css" data-theme-dark-css="dark-1097f8e92a01e3cf.css" data-theme-ayu-css="ayu-614652228113ac93.css" ></div><script src="../../static.files/storage-62ce34ea385b278a.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../static.files/main-f0540c1d82cde29b.js"></script><noscript><link rel="stylesheet" media="(prefers-color-scheme:light)" href="../../static.files/light-0f8c037637f9eb3e.css"><link rel="stylesheet" media="(prefers-color-scheme:dark)" href="../../static.files/dark-1097f8e92a01e3cf.css"><link rel="stylesheet" href="../../static.files/noscript-13285aec31fa243e.css"></noscript><link rel="alternate icon" type="image/png" href="../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
+<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Defines the fixed points for a given instantiation of the ECC chip."><title>FixedPoints in halo2_gadgets::ecc - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../static.files/rustdoc-fa3bb1812debf86c.css"><meta name="rustdoc-vars" data-root-path="../../" data-static-root-path="../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.75.0-nightly (2bbb61989 2023-10-04)" data-channel="nightly" data-search-js="search-8be46b629f5f14a8.js" data-settings-js="settings-74424d7eec62a23e.js" ><script src="../../static.files/storage-fec3eaa3851e447d.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../static.files/main-c5bd66d33317d69f.js"></script><noscript><link rel="stylesheet" href="../../static.files/noscript-5d8b3c7633ad77ba.css"></noscript><link rel="alternate icon" type="image/png" href="../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
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-</head><body class="rustdoc 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="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">FixedPoints</a></h2><div class="sidebar-elems"><section><h3><a href="#required-associated-types">Required Associated Types</a></h3><ul class="block"><li><a href="#associatedtype.Base">Base</a></li><li><a href="#associatedtype.FullScalar">FullScalar</a></li><li><a href="#associatedtype.ShortScalar">ShortScalar</a></li></ul><h3><a href="#implementors">Implementors</a></h3></section><h2><a href="index.html">In halo2_gadgets::ecc</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>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" title="Copy item path to clipboard"><img src="../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../src/halo2_gadgets/ecc.rs.html#163-170">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub trait FixedPoints&lt;C: 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> {
+</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="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">FixedPoints</a></h2><div class="sidebar-elems"><section><h3><a href="#required-associated-types">Required Associated Types</a></h3><ul class="block"><li><a href="#associatedtype.Base">Base</a></li><li><a href="#associatedtype.FullScalar">FullScalar</a></li><li><a href="#associatedtype.ShortScalar">ShortScalar</a></li></ul><h3><a href="#implementors">Implementors</a></h3></section><h2><a href="index.html">In halo2_gadgets::ecc</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>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" title="Copy item path to clipboard"><img src="../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../src/halo2_gadgets/ecc.rs.html#163-170">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub trait FixedPoints&lt;C: 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><details class="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="toggle" open><summary><section id="associatedtype.FullScalar" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#165">source</a><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></section></summary><div class="docblock"><p>Fixed points that can be used with full-width scalar multiplication.</p>
-</div></details><details class="toggle" open><summary><section id="associatedtype.ShortScalar" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#167">source</a><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></section></summary><div class="docblock"><p>Fixed points that can be used with short scalar multiplication.</p>
-</div></details><details class="toggle" open><summary><section id="associatedtype.Base" class="method"><a class="srclink rightside" href="../../src/halo2_gadgets/ecc.rs.html#169">source</a><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></section></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="toggle" open><summary><section id="associatedtype.FullScalar" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#165">source</a><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></section></summary><div class="docblock"><p>Fixed points that can be used with full-width scalar multiplication.</p>
+</div></details><details class="toggle" open><summary><section id="associatedtype.ShortScalar" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#167">source</a><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></section></summary><div class="docblock"><p>Fixed points that can be used with short scalar multiplication.</p>
+</div></details><details class="toggle" open><summary><section id="associatedtype.Base" class="method"><a class="src rightside" href="../../src/halo2_gadgets/ecc.rs.html#169">source</a><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></section></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 id="implementors-list"></div><script src="../../implementors/halo2_gadgets/ecc/trait.FixedPoints.js" async></script></section></div></main></body></html>

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 <h2 id="gadgets"><a href="#gadgets">Gadgets</a></h2>
 <p>Gadgets are an abstraction for writing reusable and interoperable circuit logic. They
 do not create any circuit constraints or assignments themselves, instead interacting

rustdoc/latest/halo2_gadgets/poseidon/index.html

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-<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="The Poseidon algebraic hash function."><title>halo2_gadgets::poseidon - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../static.files/rustdoc-f3501f0f5ae15dfb.css" id="mainThemeStyle"><div id="rustdoc-vars" data-root-path="../../" data-static-root-path="../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.71.0-nightly (8b4b20836 2023-05-22)" data-search-js="search-4926e5fc22a5646a.js" data-settings-js="settings-de11bff964e9d4e5.js" data-settings-css="settings-6f6ffb5395b17c6e.css" data-theme-light-css="light-0f8c037637f9eb3e.css" data-theme-dark-css="dark-1097f8e92a01e3cf.css" data-theme-ayu-css="ayu-614652228113ac93.css" ></div><script src="../../static.files/storage-62ce34ea385b278a.js"></script><script defer src="../../static.files/main-f0540c1d82cde29b.js"></script><noscript><link rel="stylesheet" media="(prefers-color-scheme:light)" href="../../static.files/light-0f8c037637f9eb3e.css"><link rel="stylesheet" media="(prefers-color-scheme:dark)" href="../../static.files/dark-1097f8e92a01e3cf.css"><link rel="stylesheet" href="../../static.files/noscript-13285aec31fa243e.css"></noscript><link rel="alternate icon" type="image/png" href="../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
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-</head><body class="rustdoc mod"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">Module poseidon</a></h2><div class="sidebar-elems"><section><ul class="block"><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></section></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Module <a href="../index.html">halo2_gadgets</a>::<wbr><a class="mod" href="#">poseidon</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../src/halo2_gadgets/poseidon.rs.html#1-296">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>The Poseidon algebraic hash function.</p>
+</head><body class="rustdoc mod"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../halo2_gadgets/index.html"><img class="rust-logo" src="../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">Module poseidon</a></h2><div class="sidebar-elems"><section><ul class="block"><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></section></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Module <a href="../index.html">halo2_gadgets</a>::<wbr><a class="mod" href="#">poseidon</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../src/halo2_gadgets/poseidon.rs.html#1-296">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>The Poseidon algebraic hash function.</p>
 </div></details><h2 id="modules" class="small-section-header"><a href="#modules">Modules</a></h2><ul class="item-table"><li><div class="item-name"><a class="mod" href="primitives/index.html" title="mod halo2_gadgets::poseidon::primitives">primitives</a></div><div class="desc docblock-short">The Poseidon algebraic hash function.</div></li></ul><h2 id="structs" class="small-section-header"><a href="#structs">Structs</a></h2><ul class="item-table"><li><div class="item-name"><a class="struct" href="struct.Hash.html" title="struct halo2_gadgets::poseidon::Hash">Hash</a></div><div class="desc docblock-short">A Poseidon hash function, built around a sponge.</div></li><li><div class="item-name"><a class="struct" href="struct.Pow5Chip.html" title="struct halo2_gadgets::poseidon::Pow5Chip">Pow5Chip</a></div><div class="desc docblock-short">A Poseidon chip using an $x^5$ S-Box.</div></li><li><div class="item-name"><a class="struct" href="struct.Pow5Config.html" title="struct halo2_gadgets::poseidon::Pow5Config">Pow5Config</a></div><div class="desc docblock-short">Configuration for a <a href="struct.Pow5Chip.html" title="struct halo2_gadgets::poseidon::Pow5Chip"><code>Pow5Chip</code></a>.</div></li><li><div class="item-name"><a class="struct" href="struct.Sponge.html" title="struct halo2_gadgets::poseidon::Sponge">Sponge</a></div><div class="desc docblock-short">A Poseidon sponge.</div></li><li><div class="item-name"><a class="struct" href="struct.StateWord.html" title="struct halo2_gadgets::poseidon::StateWord">StateWord</a></div><div class="desc docblock-short">A word in the Poseidon state.</div></li><li><div class="item-name"><a class="struct" href="struct.Word.html" title="struct halo2_gadgets::poseidon::Word">Word</a></div><div class="desc docblock-short">A word over which the Poseidon permutation operates.</div></li></ul><h2 id="enums" class="small-section-header"><a href="#enums">Enums</a></h2><ul class="item-table"><li><div class="item-name"><a class="enum" href="enum.PaddedWord.html" title="enum halo2_gadgets::poseidon::PaddedWord">PaddedWord</a></div><div class="desc docblock-short">A word from the padded input to a Poseidon sponge.</div></li></ul><h2 id="traits" class="small-section-header"><a href="#traits">Traits</a></h2><ul class="item-table"><li><div class="item-name"><a class="trait" href="trait.PoseidonInstructions.html" title="trait halo2_gadgets::poseidon::PoseidonInstructions">PoseidonInstructions</a></div><div class="desc docblock-short">The set of circuit instructions required to use the Poseidon permutation.</div></li><li><div class="item-name"><a class="trait" href="trait.PoseidonSpongeInstructions.html" title="trait halo2_gadgets::poseidon::PoseidonSpongeInstructions">PoseidonSpongeInstructions</a></div><div class="desc docblock-short">The set of circuit instructions required to use the <a href="struct.Sponge.html" title="struct halo2_gadgets::poseidon::Sponge"><code>Sponge</code></a> and <a href="struct.Hash.html" title="struct halo2_gadgets::poseidon::Hash"><code>Hash</code></a> gadgets.</div></li></ul></section></div></main></body></html>

rustdoc/latest/halo2_gadgets/poseidon/primitives/fn.generate_constants.html

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-<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Generates `(round_constants, mds, mds^-1)` corresponding to this specification."><title>generate_constants in halo2_gadgets::poseidon::primitives - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../static.files/rustdoc-f3501f0f5ae15dfb.css" id="mainThemeStyle"><div id="rustdoc-vars" data-root-path="../../../" data-static-root-path="../../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.71.0-nightly (8b4b20836 2023-05-22)" data-search-js="search-4926e5fc22a5646a.js" data-settings-js="settings-de11bff964e9d4e5.js" data-settings-css="settings-6f6ffb5395b17c6e.css" data-theme-light-css="light-0f8c037637f9eb3e.css" data-theme-dark-css="dark-1097f8e92a01e3cf.css" data-theme-ayu-css="ayu-614652228113ac93.css" ></div><script src="../../../static.files/storage-62ce34ea385b278a.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../static.files/main-f0540c1d82cde29b.js"></script><noscript><link rel="stylesheet" media="(prefers-color-scheme:light)" href="../../../static.files/light-0f8c037637f9eb3e.css"><link rel="stylesheet" media="(prefers-color-scheme:dark)" href="../../../static.files/dark-1097f8e92a01e3cf.css"><link rel="stylesheet" href="../../../static.files/noscript-13285aec31fa243e.css"></noscript><link rel="alternate icon" type="image/png" href="../../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
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-</head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><div class="sidebar-elems"><h2><a href="index.html">In halo2_gadgets::poseidon::primitives</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Function <a href="../../index.html">halo2_gadgets</a>::<wbr><a href="../index.html">poseidon</a>::<wbr><a href="index.html">primitives</a>::<wbr><a class="fn" href="#">generate_constants</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#57-84">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub fn generate_constants&lt;F: FromUniformBytes&lt;64&gt; + <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html" title="trait core::cmp::Ord">Ord</a>, S: <a class="trait" href="trait.Spec.html" title="trait halo2_gadgets::poseidon::primitives::Spec">Spec</a>&lt;F, T, RATE&gt;, const T: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, const RATE: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>&gt;(
-    
+</head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><div class="sidebar-elems"><h2><a href="index.html">In halo2_gadgets::poseidon::primitives</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Function <a href="../../index.html">halo2_gadgets</a>::<wbr><a href="../index.html">poseidon</a>::<wbr><a href="index.html">primitives</a>::<wbr><a class="fn" href="#">generate_constants</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#57-84">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub fn generate_constants&lt;F: FromUniformBytes&lt;64&gt; + <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html" title="trait core::cmp::Ord">Ord</a>, S: <a class="trait" href="trait.Spec.html" title="trait halo2_gadgets::poseidon::primitives::Spec">Spec</a>&lt;F, T, RATE&gt;, const T: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, const RATE: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>&gt;(
 ) -&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">[F; T]</a>&gt;, <a class="type" href="type.Mds.html" title="type halo2_gadgets::poseidon::primitives::Mds">Mds</a>&lt;F, T&gt;, <a class="type" href="type.Mds.html" title="type halo2_gadgets::poseidon::primitives::Mds">Mds</a>&lt;F, T&gt;)</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Generates <code>(round_constants, mds, mds^-1)</code> corresponding to this specification.</p>
 </div></details></section></div></main></body></html>

rustdoc/latest/halo2_gadgets/poseidon/primitives/index.html

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-</head><body class="rustdoc mod"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">Module primitives</a></h2><div class="sidebar-elems"><section><ul class="block"><li><a href="#structs">Structs</a></li><li><a href="#traits">Traits</a></li><li><a href="#functions">Functions</a></li><li><a href="#types">Type Definitions</a></li></ul></section></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Module <a href="../../index.html">halo2_gadgets</a>::<wbr><a href="../index.html">poseidon</a>::<wbr><a class="mod" href="#">primitives</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#1-405">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>The Poseidon algebraic hash function.</p>
+</head><body class="rustdoc mod"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">Module primitives</a></h2><div class="sidebar-elems"><section><ul class="block"><li><a href="#structs">Structs</a></li><li><a href="#traits">Traits</a></li><li><a href="#functions">Functions</a></li><li><a href="#types">Type Aliases</a></li></ul></section></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Module <a href="../../index.html">halo2_gadgets</a>::<wbr><a href="../index.html">poseidon</a>::<wbr><a class="mod" href="#">primitives</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#1-405">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>The Poseidon algebraic hash function.</p>
 </div></details><h2 id="structs" class="small-section-header"><a href="#structs">Structs</a></h2><ul class="item-table"><li><div class="item-name"><a class="struct" href="struct.Absorbing.html" title="struct halo2_gadgets::poseidon::primitives::Absorbing">Absorbing</a></div><div class="desc docblock-short">The absorbing state of the <code>Sponge</code>.</div></li><li><div class="item-name"><a class="struct" href="struct.ConstantLength.html" title="struct halo2_gadgets::poseidon::primitives::ConstantLength">ConstantLength</a></div><div class="desc docblock-short">A Poseidon hash function used with constant input length.</div></li><li><div class="item-name"><a class="struct" href="struct.Hash.html" title="struct halo2_gadgets::poseidon::primitives::Hash">Hash</a></div><div class="desc docblock-short">A Poseidon hash function, built around a sponge.</div></li><li><div class="item-name"><a class="struct" href="struct.P128Pow5T3.html" title="struct halo2_gadgets::poseidon::primitives::P128Pow5T3">P128Pow5T3</a></div><div class="desc docblock-short">Poseidon-128 using the $x^5$ S-box, with a width of 3 field elements, and the
-standard number of rounds for 128-bit security “with margin”.</div></li><li><div class="item-name"><a class="struct" href="struct.Squeezing.html" title="struct halo2_gadgets::poseidon::primitives::Squeezing">Squeezing</a></div><div class="desc docblock-short">The squeezing state of the <code>Sponge</code>.</div></li></ul><h2 id="traits" class="small-section-header"><a href="#traits">Traits</a></h2><ul class="item-table"><li><div class="item-name"><a class="trait" href="trait.Domain.html" title="trait halo2_gadgets::poseidon::primitives::Domain">Domain</a></div><div class="desc docblock-short">A domain in which a Poseidon hash function is being used.</div></li><li><div class="item-name"><a class="trait" href="trait.Spec.html" title="trait halo2_gadgets::poseidon::primitives::Spec">Spec</a></div><div class="desc docblock-short">A specification for a Poseidon permutation.</div></li><li><div class="item-name"><a class="trait" href="trait.SpongeMode.html" title="trait halo2_gadgets::poseidon::primitives::SpongeMode">SpongeMode</a></div><div class="desc docblock-short">The state of the <code>Sponge</code>.</div></li></ul><h2 id="functions" class="small-section-header"><a href="#functions">Functions</a></h2><ul class="item-table"><li><div class="item-name"><a class="fn" href="fn.generate_constants.html" title="fn halo2_gadgets::poseidon::primitives::generate_constants">generate_constants</a></div><div class="desc docblock-short">Generates <code>(round_constants, mds, mds^-1)</code> corresponding to this specification.</div></li></ul><h2 id="types" class="small-section-header"><a href="#types">Type Definitions</a></h2><ul class="item-table"><li><div class="item-name"><a class="type" href="type.Mds.html" title="type halo2_gadgets::poseidon::primitives::Mds">Mds</a></div><div class="desc docblock-short">The type used to hold the MDS matrix and its inverse.</div></li></ul></section></div></main></body></html>
+standard number of rounds for 128-bit security “with margin”.</div></li><li><div class="item-name"><a class="struct" href="struct.Squeezing.html" title="struct halo2_gadgets::poseidon::primitives::Squeezing">Squeezing</a></div><div class="desc docblock-short">The squeezing state of the <code>Sponge</code>.</div></li></ul><h2 id="traits" class="small-section-header"><a href="#traits">Traits</a></h2><ul class="item-table"><li><div class="item-name"><a class="trait" href="trait.Domain.html" title="trait halo2_gadgets::poseidon::primitives::Domain">Domain</a></div><div class="desc docblock-short">A domain in which a Poseidon hash function is being used.</div></li><li><div class="item-name"><a class="trait" href="trait.Spec.html" title="trait halo2_gadgets::poseidon::primitives::Spec">Spec</a></div><div class="desc docblock-short">A specification for a Poseidon permutation.</div></li><li><div class="item-name"><a class="trait" href="trait.SpongeMode.html" title="trait halo2_gadgets::poseidon::primitives::SpongeMode">SpongeMode</a></div><div class="desc docblock-short">The state of the <code>Sponge</code>.</div></li></ul><h2 id="functions" class="small-section-header"><a href="#functions">Functions</a></h2><ul class="item-table"><li><div class="item-name"><a class="fn" href="fn.generate_constants.html" title="fn halo2_gadgets::poseidon::primitives::generate_constants">generate_constants</a></div><div class="desc docblock-short">Generates <code>(round_constants, mds, mds^-1)</code> corresponding to this specification.</div></li></ul><h2 id="types" class="small-section-header"><a href="#types">Type Aliases</a></h2><ul class="item-table"><li><div class="item-name"><a class="type" href="type.Mds.html" title="type halo2_gadgets::poseidon::primitives::Mds">Mds</a></div><div class="desc docblock-short">The type used to hold the MDS matrix and its inverse.</div></li></ul></section></div></main></body></html>

rustdoc/latest/halo2_gadgets/poseidon/primitives/trait.Domain.html

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-<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="A domain in which a Poseidon hash function is being used."><title>Domain in halo2_gadgets::poseidon::primitives - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../static.files/rustdoc-f3501f0f5ae15dfb.css" id="mainThemeStyle"><div id="rustdoc-vars" data-root-path="../../../" data-static-root-path="../../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.71.0-nightly (8b4b20836 2023-05-22)" data-search-js="search-4926e5fc22a5646a.js" data-settings-js="settings-de11bff964e9d4e5.js" data-settings-css="settings-6f6ffb5395b17c6e.css" data-theme-light-css="light-0f8c037637f9eb3e.css" data-theme-dark-css="dark-1097f8e92a01e3cf.css" data-theme-ayu-css="ayu-614652228113ac93.css" ></div><script src="../../../static.files/storage-62ce34ea385b278a.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../static.files/main-f0540c1d82cde29b.js"></script><noscript><link rel="stylesheet" media="(prefers-color-scheme:light)" href="../../../static.files/light-0f8c037637f9eb3e.css"><link rel="stylesheet" media="(prefers-color-scheme:dark)" href="../../../static.files/dark-1097f8e92a01e3cf.css"><link rel="stylesheet" href="../../../static.files/noscript-13285aec31fa243e.css"></noscript><link rel="alternate icon" type="image/png" href="../../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
+<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="A domain in which a Poseidon hash function is being used."><title>Domain in halo2_gadgets::poseidon::primitives - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../static.files/rustdoc-fa3bb1812debf86c.css"><meta name="rustdoc-vars" data-root-path="../../../" data-static-root-path="../../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.75.0-nightly (2bbb61989 2023-10-04)" data-channel="nightly" data-search-js="search-8be46b629f5f14a8.js" data-settings-js="settings-74424d7eec62a23e.js" ><script src="../../../static.files/storage-fec3eaa3851e447d.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../static.files/main-c5bd66d33317d69f.js"></script><noscript><link rel="stylesheet" href="../../../static.files/noscript-5d8b3c7633ad77ba.css"></noscript><link rel="alternate icon" type="image/png" href="../../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
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         });
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 </script>
-</head><body class="rustdoc trait"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle">&#9776;</button><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">Domain</a></h2><div class="sidebar-elems"><section><h3><a href="#required-associated-types">Required Associated Types</a></h3><ul class="block"><li><a href="#associatedtype.Padding">Padding</a></li></ul><h3><a href="#required-methods">Required Methods</a></h3><ul class="block"><li><a href="#tymethod.initial_capacity_element">initial_capacity_element</a></li><li><a href="#tymethod.name">name</a></li><li><a href="#tymethod.padding">padding</a></li></ul><h3><a href="#implementors">Implementors</a></h3></section><h2><a href="index.html">In halo2_gadgets::poseidon::primitives</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Trait <a href="../../index.html">halo2_gadgets</a>::<wbr><a href="../index.html">poseidon</a>::<wbr><a href="index.html">primitives</a>::<wbr><a class="trait" href="#">Domain</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#286-298">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub trait Domain&lt;F: Field, const RATE: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>&gt; {
+</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="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">Domain</a></h2><div class="sidebar-elems"><section><h3><a href="#required-associated-types">Required Associated Types</a></h3><ul class="block"><li><a href="#associatedtype.Padding">Padding</a></li></ul><h3><a href="#required-methods">Required Methods</a></h3><ul class="block"><li><a href="#tymethod.initial_capacity_element">initial_capacity_element</a></li><li><a href="#tymethod.name">name</a></li><li><a href="#tymethod.padding">padding</a></li></ul><h3><a href="#implementors">Implementors</a></h3></section><h2><a href="index.html">In halo2_gadgets::poseidon::primitives</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Trait <a href="../../index.html">halo2_gadgets</a>::<wbr><a href="../index.html">poseidon</a>::<wbr><a href="index.html">primitives</a>::<wbr><a class="trait" href="#">Domain</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#286-298">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub trait Domain&lt;F: Field, const RATE: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>&gt; {
     type <a href="#associatedtype.Padding" class="associatedtype">Padding</a>: <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>&lt;Item = F&gt;;
 
     // Required methods
@@ -21,8 +21,8 @@
 <span class="item-spacer"></span>    fn <a href="#tymethod.initial_capacity_element" class="fn">initial_capacity_element</a>() -&gt; F;
 <span class="item-spacer"></span>    fn <a href="#tymethod.padding" class="fn">padding</a>(input_len: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>) -&gt; Self::<a class="associatedtype" href="trait.Domain.html#associatedtype.Padding" title="type halo2_gadgets::poseidon::primitives::Domain::Padding">Padding</a>;
 }</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>A domain in which a Poseidon hash function is being used.</p>
-</div></details><h2 id="required-associated-types" class="small-section-header">Required Associated Types<a href="#required-associated-types" class="anchor">§</a></h2><div class="methods"><details class="toggle" open><summary><section id="associatedtype.Padding" class="method"><a class="srclink rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#288">source</a><h4 class="code-header">type <a href="#associatedtype.Padding" class="associatedtype">Padding</a>: <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>&lt;Item = F&gt;</h4></section></summary><div class="docblock"><p>Iterator that outputs padding field elements.</p>
-</div></details></div><h2 id="required-methods" class="small-section-header">Required Methods<a href="#required-methods" class="anchor">§</a></h2><div class="methods"><details class="toggle method-toggle" open><summary><section id="tymethod.name" class="method"><a class="srclink rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#291">source</a><h4 class="code-header">fn <a href="#tymethod.name" class="fn">name</a>() -&gt; <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/string/struct.String.html" title="struct alloc::string::String">String</a></h4></section></summary><div class="docblock"><p>The name of this domain, for debug formatting purposes.</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.initial_capacity_element" class="method"><a class="srclink rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#294">source</a><h4 class="code-header">fn <a href="#tymethod.initial_capacity_element" class="fn">initial_capacity_element</a>() -&gt; F</h4></section></summary><div class="docblock"><p>The initial capacity element, encoding this domain.</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.padding" class="method"><a class="srclink rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#297">source</a><h4 class="code-header">fn <a href="#tymethod.padding" class="fn">padding</a>(input_len: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>) -&gt; Self::<a class="associatedtype" href="trait.Domain.html#associatedtype.Padding" title="type halo2_gadgets::poseidon::primitives::Domain::Padding">Padding</a></h4></section></summary><div class="docblock"><p>Returns the padding to be appended to the input.</p>
-</div></details></div><h2 id="implementors" class="small-section-header">Implementors<a href="#implementors" class="anchor">§</a></h2><div id="implementors-list"><details class="toggle implementors-toggle"><summary><section id="impl-Domain%3CF,+RATE%3E-for-ConstantLength%3CL%3E" class="impl"><a class="srclink rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#306-328">source</a><a href="#impl-Domain%3CF,+RATE%3E-for-ConstantLength%3CL%3E" class="anchor">§</a><h3 class="code-header">impl&lt;F: PrimeField, const RATE: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, const L: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>&gt; <a class="trait" href="trait.Domain.html" title="trait halo2_gadgets::poseidon::primitives::Domain">Domain</a>&lt;F, RATE&gt; for <a class="struct" href="struct.ConstantLength.html" title="struct halo2_gadgets::poseidon::primitives::ConstantLength">ConstantLength</a>&lt;L&gt;</h3></section></summary><div class="impl-items"><section id="associatedtype.Padding-1" class="associatedtype trait-impl"><a href="#associatedtype.Padding-1" class="anchor">§</a><h4 class="code-header">type <a href="#associatedtype.Padding" class="associatedtype">Padding</a> = <a class="struct" href="https://doc.rust-lang.org/nightly/core/iter/adapters/take/struct.Take.html" title="struct core::iter::adapters::take::Take">Take</a>&lt;<a class="struct" href="https://doc.rust-lang.org/nightly/core/iter/sources/repeat/struct.Repeat.html" title="struct core::iter::sources::repeat::Repeat">Repeat</a>&lt;F&gt;&gt;</h4></section></div></details></div><script src="../../../implementors/halo2_gadgets/poseidon/primitives/trait.Domain.js" async></script></section></div></main></body></html>
+</div></details><h2 id="required-associated-types" class="small-section-header">Required Associated Types<a href="#required-associated-types" class="anchor">§</a></h2><div class="methods"><details class="toggle" open><summary><section id="associatedtype.Padding" class="method"><a class="src rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#288">source</a><h4 class="code-header">type <a href="#associatedtype.Padding" class="associatedtype">Padding</a>: <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>&lt;Item = F&gt;</h4></section></summary><div class="docblock"><p>Iterator that outputs padding field elements.</p>
+</div></details></div><h2 id="required-methods" class="small-section-header">Required Methods<a href="#required-methods" class="anchor">§</a></h2><div class="methods"><details class="toggle method-toggle" open><summary><section id="tymethod.name" class="method"><a class="src rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#291">source</a><h4 class="code-header">fn <a href="#tymethod.name" class="fn">name</a>() -&gt; <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/string/struct.String.html" title="struct alloc::string::String">String</a></h4></section></summary><div class="docblock"><p>The name of this domain, for debug formatting purposes.</p>
+</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.initial_capacity_element" class="method"><a class="src rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#294">source</a><h4 class="code-header">fn <a href="#tymethod.initial_capacity_element" class="fn">initial_capacity_element</a>() -&gt; F</h4></section></summary><div class="docblock"><p>The initial capacity element, encoding this domain.</p>
+</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.padding" class="method"><a class="src rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#297">source</a><h4 class="code-header">fn <a href="#tymethod.padding" class="fn">padding</a>(input_len: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>) -&gt; Self::<a class="associatedtype" href="trait.Domain.html#associatedtype.Padding" title="type halo2_gadgets::poseidon::primitives::Domain::Padding">Padding</a></h4></section></summary><div class="docblock"><p>Returns the padding to be appended to the input.</p>
+</div></details></div><h2 id="implementors" class="small-section-header">Implementors<a href="#implementors" class="anchor">§</a></h2><div id="implementors-list"><details class="toggle implementors-toggle"><summary><section id="impl-Domain%3CF,+RATE%3E-for-ConstantLength%3CL%3E" class="impl"><a class="src rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#306-328">source</a><a href="#impl-Domain%3CF,+RATE%3E-for-ConstantLength%3CL%3E" class="anchor">§</a><h3 class="code-header">impl&lt;F: PrimeField, const RATE: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, const L: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>&gt; <a class="trait" href="trait.Domain.html" title="trait halo2_gadgets::poseidon::primitives::Domain">Domain</a>&lt;F, RATE&gt; for <a class="struct" href="struct.ConstantLength.html" title="struct halo2_gadgets::poseidon::primitives::ConstantLength">ConstantLength</a>&lt;L&gt;</h3></section></summary><div class="impl-items"><section id="associatedtype.Padding-1" class="associatedtype trait-impl"><a href="#associatedtype.Padding-1" class="anchor">§</a><h4 class="code-header">type <a href="#associatedtype.Padding" class="associatedtype">Padding</a> = <a class="struct" href="https://doc.rust-lang.org/nightly/core/iter/adapters/take/struct.Take.html" title="struct core::iter::adapters::take::Take">Take</a>&lt;<a class="struct" href="https://doc.rust-lang.org/nightly/core/iter/sources/repeat/struct.Repeat.html" title="struct core::iter::sources::repeat::Repeat">Repeat</a>&lt;F&gt;&gt;</h4></section></div></details></div><script src="../../../implementors/halo2_gadgets/poseidon/primitives/trait.Domain.js" async></script></section></div></main></body></html>

rustdoc/latest/halo2_gadgets/poseidon/primitives/trait.Spec.html

@@ -1,4 +1,4 @@
-<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="A specification for a Poseidon permutation."><title>Spec in halo2_gadgets::poseidon::primitives - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../static.files/rustdoc-f3501f0f5ae15dfb.css" id="mainThemeStyle"><div id="rustdoc-vars" data-root-path="../../../" data-static-root-path="../../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.71.0-nightly (8b4b20836 2023-05-22)" data-search-js="search-4926e5fc22a5646a.js" data-settings-js="settings-de11bff964e9d4e5.js" data-settings-css="settings-6f6ffb5395b17c6e.css" data-theme-light-css="light-0f8c037637f9eb3e.css" data-theme-dark-css="dark-1097f8e92a01e3cf.css" data-theme-ayu-css="ayu-614652228113ac93.css" ></div><script src="../../../static.files/storage-62ce34ea385b278a.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../static.files/main-f0540c1d82cde29b.js"></script><noscript><link rel="stylesheet" media="(prefers-color-scheme:light)" href="../../../static.files/light-0f8c037637f9eb3e.css"><link rel="stylesheet" media="(prefers-color-scheme:dark)" href="../../../static.files/dark-1097f8e92a01e3cf.css"><link rel="stylesheet" href="../../../static.files/noscript-13285aec31fa243e.css"></noscript><link rel="alternate icon" type="image/png" href="../../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
+<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="A specification for a Poseidon permutation."><title>Spec in halo2_gadgets::poseidon::primitives - Rust</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Regular-46f98efaafac5295.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Bold-a2c9cd1067f8b328.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../static.files/rustdoc-fa3bb1812debf86c.css"><meta name="rustdoc-vars" data-root-path="../../../" data-static-root-path="../../../static.files/" data-current-crate="halo2_gadgets" data-themes="" data-resource-suffix="" data-rustdoc-version="1.75.0-nightly (2bbb61989 2023-10-04)" data-channel="nightly" data-search-js="search-8be46b629f5f14a8.js" data-settings-js="settings-74424d7eec62a23e.js" ><script src="../../../static.files/storage-fec3eaa3851e447d.js"></script><script defer src="sidebar-items.js"></script><script defer src="../../../static.files/main-c5bd66d33317d69f.js"></script><noscript><link rel="stylesheet" href="../../../static.files/noscript-5d8b3c7633ad77ba.css"></noscript><link rel="alternate icon" type="image/png" href="../../../static.files/favicon-16x16-8b506e7a72182f1c.png"><link rel="alternate icon" type="image/png" href="../../../static.files/favicon-32x32-422f7d1d52889060.png"><link rel="icon" type="image/svg+xml" href="../../../static.files/favicon-2c020d218678b618.svg"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
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-</head><body class="rustdoc 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="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">Spec</a></h2><div class="sidebar-elems"><section><h3><a href="#required-methods">Required Methods</a></h3><ul class="block"><li><a href="#tymethod.constants">constants</a></li><li><a href="#tymethod.full_rounds">full_rounds</a></li><li><a href="#tymethod.partial_rounds">partial_rounds</a></li><li><a href="#tymethod.sbox">sbox</a></li><li><a href="#tymethod.secure_mds">secure_mds</a></li></ul><h3><a href="#implementors">Implementors</a></h3></section><h2><a href="index.html">In halo2_gadgets::poseidon::primitives</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Trait <a href="../../index.html">halo2_gadgets</a>::<wbr><a href="../index.html">poseidon</a>::<wbr><a href="index.html">primitives</a>::<wbr><a class="trait" href="#">Spec</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#33-54">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub trait Spec&lt;F: Field, const T: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, const RATE: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>&gt;: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> {
+</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="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">Spec</a></h2><div class="sidebar-elems"><section><h3><a href="#required-methods">Required Methods</a></h3><ul class="block"><li><a href="#tymethod.constants">constants</a></li><li><a href="#tymethod.full_rounds">full_rounds</a></li><li><a href="#tymethod.partial_rounds">partial_rounds</a></li><li><a href="#tymethod.sbox">sbox</a></li><li><a href="#tymethod.secure_mds">secure_mds</a></li></ul><h3><a href="#implementors">Implementors</a></h3></section><h2><a href="index.html">In halo2_gadgets::poseidon::primitives</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Trait <a href="../../index.html">halo2_gadgets</a>::<wbr><a href="../index.html">poseidon</a>::<wbr><a href="index.html">primitives</a>::<wbr><a class="trait" href="#">Spec</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#33-54">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub trait Spec&lt;F: Field, const T: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, const RATE: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>&gt;: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> {
     // Required methods
     fn <a href="#tymethod.full_rounds" class="fn">full_rounds</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>;
 <span class="item-spacer"></span>    fn <a href="#tymethod.partial_rounds" class="fn">partial_rounds</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>;
@@ -21,13 +21,13 @@
 <span class="item-spacer"></span>    fn <a href="#tymethod.secure_mds" class="fn">secure_mds</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>;
 <span class="item-spacer"></span>    fn <a href="#tymethod.constants" class="fn">constants</a>() -&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">[F; T]</a>&gt;, <a class="type" href="type.Mds.html" title="type halo2_gadgets::poseidon::primitives::Mds">Mds</a>&lt;F, T&gt;, <a class="type" href="type.Mds.html" title="type halo2_gadgets::poseidon::primitives::Mds">Mds</a>&lt;F, T&gt;);
 }</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>A specification for a Poseidon permutation.</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="toggle method-toggle" open><summary><section id="tymethod.full_rounds" class="method"><a class="srclink rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#37">source</a><h4 class="code-header">fn <a href="#tymethod.full_rounds" class="fn">full_rounds</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></section></summary><div class="docblock"><p>The number of full rounds for this specification.</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="toggle method-toggle" open><summary><section id="tymethod.full_rounds" class="method"><a class="src rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#37">source</a><h4 class="code-header">fn <a href="#tymethod.full_rounds" class="fn">full_rounds</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></section></summary><div class="docblock"><p>The number of full rounds for this specification.</p>
 <p>This must be an even number.</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.partial_rounds" class="method"><a class="srclink rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#40">source</a><h4 class="code-header">fn <a href="#tymethod.partial_rounds" class="fn">partial_rounds</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></section></summary><div class="docblock"><p>The number of partial rounds for this specification.</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.sbox" class="method"><a class="srclink rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#43">source</a><h4 class="code-header">fn <a href="#tymethod.sbox" class="fn">sbox</a>(val: F) -&gt; F</h4></section></summary><div class="docblock"><p>The S-box for this specification.</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.secure_mds" class="method"><a class="srclink rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#50">source</a><h4 class="code-header">fn <a href="#tymethod.secure_mds" class="fn">secure_mds</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></section></summary><div class="docblock"><p>Side-loaded index of the first correct and secure MDS that will be generated by
+</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.partial_rounds" class="method"><a class="src rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#40">source</a><h4 class="code-header">fn <a href="#tymethod.partial_rounds" class="fn">partial_rounds</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></section></summary><div class="docblock"><p>The number of partial rounds for this specification.</p>
+</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.sbox" class="method"><a class="src rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#43">source</a><h4 class="code-header">fn <a href="#tymethod.sbox" class="fn">sbox</a>(val: F) -&gt; F</h4></section></summary><div class="docblock"><p>The S-box for this specification.</p>
+</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.secure_mds" class="method"><a class="src rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#50">source</a><h4 class="code-header">fn <a href="#tymethod.secure_mds" class="fn">secure_mds</a>() -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></section></summary><div class="docblock"><p>Side-loaded index of the first correct and secure MDS that will be generated by
 the reference implementation.</p>
 <p>This is used by the default implementation of <a href="trait.Spec.html#tymethod.constants" title="associated function halo2_gadgets::poseidon::primitives::Spec::constants"><code>Spec::constants</code></a>. If you are
 hard-coding the constants, you may leave this unimplemented.</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.constants" class="method"><a class="srclink rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#53">source</a><h4 class="code-header">fn <a href="#tymethod.constants" class="fn">constants</a>() -&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">[F; T]</a>&gt;, <a class="type" href="type.Mds.html" title="type halo2_gadgets::poseidon::primitives::Mds">Mds</a>&lt;F, T&gt;, <a class="type" href="type.Mds.html" title="type halo2_gadgets::poseidon::primitives::Mds">Mds</a>&lt;F, T&gt;)</h4></section></summary><div class="docblock"><p>Generates <code>(round_constants, mds, mds^-1)</code> corresponding to this specification.</p>
-</div></details></div><h2 id="implementors" class="small-section-header">Implementors<a href="#implementors" class="anchor">§</a></h2><div id="implementors-list"><section id="impl-Spec%3CFp,+3,+2%3E-for-P128Pow5T3" class="impl"><a class="srclink rightside" href="../../../src/halo2_gadgets/poseidon/primitives/p128pow5t3.rs.html#15-39">source</a><a href="#impl-Spec%3CFp,+3,+2%3E-for-P128Pow5T3" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="trait.Spec.html" title="trait halo2_gadgets::poseidon::primitives::Spec">Spec</a>&lt;Fp, 3, 2&gt; for <a class="struct" href="struct.P128Pow5T3.html" title="struct halo2_gadgets::poseidon::primitives::P128Pow5T3">P128Pow5T3</a></h3></section><section id="impl-Spec%3CFq,+3,+2%3E-for-P128Pow5T3" class="impl"><a class="srclink rightside" href="../../../src/halo2_gadgets/poseidon/primitives/p128pow5t3.rs.html#41-65">source</a><a href="#impl-Spec%3CFq,+3,+2%3E-for-P128Pow5T3" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="trait.Spec.html" title="trait halo2_gadgets::poseidon::primitives::Spec">Spec</a>&lt;Fq, 3, 2&gt; for <a class="struct" href="struct.P128Pow5T3.html" title="struct halo2_gadgets::poseidon::primitives::P128Pow5T3">P128Pow5T3</a></h3></section></div><script src="../../../implementors/halo2_gadgets/poseidon/primitives/trait.Spec.js" async></script></section></div></main></body></html>
+</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.constants" class="method"><a class="src rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#53">source</a><h4 class="code-header">fn <a href="#tymethod.constants" class="fn">constants</a>() -&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">[F; T]</a>&gt;, <a class="type" href="type.Mds.html" title="type halo2_gadgets::poseidon::primitives::Mds">Mds</a>&lt;F, T&gt;, <a class="type" href="type.Mds.html" title="type halo2_gadgets::poseidon::primitives::Mds">Mds</a>&lt;F, T&gt;)</h4></section></summary><div class="docblock"><p>Generates <code>(round_constants, mds, mds^-1)</code> corresponding to this specification.</p>
+</div></details></div><h2 id="implementors" class="small-section-header">Implementors<a href="#implementors" class="anchor">§</a></h2><div id="implementors-list"><section id="impl-Spec%3CFp,+3,+2%3E-for-P128Pow5T3" class="impl"><a class="src rightside" href="../../../src/halo2_gadgets/poseidon/primitives/p128pow5t3.rs.html#15-39">source</a><a href="#impl-Spec%3CFp,+3,+2%3E-for-P128Pow5T3" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="trait.Spec.html" title="trait halo2_gadgets::poseidon::primitives::Spec">Spec</a>&lt;Fp, 3, 2&gt; for <a class="struct" href="struct.P128Pow5T3.html" title="struct halo2_gadgets::poseidon::primitives::P128Pow5T3">P128Pow5T3</a></h3></section><section id="impl-Spec%3CFq,+3,+2%3E-for-P128Pow5T3" class="impl"><a class="src rightside" href="../../../src/halo2_gadgets/poseidon/primitives/p128pow5t3.rs.html#41-65">source</a><a href="#impl-Spec%3CFq,+3,+2%3E-for-P128Pow5T3" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="trait.Spec.html" title="trait halo2_gadgets::poseidon::primitives::Spec">Spec</a>&lt;Fq, 3, 2&gt; for <a class="struct" href="struct.P128Pow5T3.html" title="struct halo2_gadgets::poseidon::primitives::P128Pow5T3">P128Pow5T3</a></h3></section></div><script src="../../../implementors/halo2_gadgets/poseidon/primitives/trait.Spec.js" async></script></section></div></main></body></html>

rustdoc/latest/halo2_gadgets/poseidon/primitives/trait.SpongeMode.html

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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="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2></h2></nav><nav class="sidebar"><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">SpongeMode</a></h2><div class="sidebar-elems"><section><h3><a href="#implementors">Implementors</a></h3></section><h2><a href="index.html">In halo2_gadgets::poseidon::primitives</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Trait <a href="../../index.html">halo2_gadgets</a>::<wbr><a href="../index.html">poseidon</a>::<wbr><a href="index.html">primitives</a>::<wbr><a class="trait" href="#">SpongeMode</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="srclink" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#164">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub trait SpongeMode: SealedSpongeMode { }</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>The state of the <code>Sponge</code>.</p>
-</div></details><h2 id="implementors" class="small-section-header">Implementors<a href="#implementors" class="anchor">§</a></h2><div id="implementors-list"><section id="impl-SpongeMode-for-Absorbing%3CF,+RATE%3E" class="impl"><a class="srclink rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#174">source</a><a href="#impl-SpongeMode-for-Absorbing%3CF,+RATE%3E" class="anchor">§</a><h3 class="code-header">impl&lt;F, const RATE: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>&gt; <a class="trait" href="trait.SpongeMode.html" title="trait halo2_gadgets::poseidon::primitives::SpongeMode">SpongeMode</a> for <a class="struct" href="struct.Absorbing.html" title="struct halo2_gadgets::poseidon::primitives::Absorbing">Absorbing</a>&lt;F, RATE&gt;</h3></section><section id="impl-SpongeMode-for-Squeezing%3CF,+RATE%3E" class="impl"><a class="srclink rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#175">source</a><a href="#impl-SpongeMode-for-Squeezing%3CF,+RATE%3E" class="anchor">§</a><h3 class="code-header">impl&lt;F, const RATE: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>&gt; <a class="trait" href="trait.SpongeMode.html" title="trait halo2_gadgets::poseidon::primitives::SpongeMode">SpongeMode</a> for <a class="struct" href="struct.Squeezing.html" title="struct halo2_gadgets::poseidon::primitives::Squeezing">Squeezing</a>&lt;F, RATE&gt;</h3></section></div><script src="../../../implementors/halo2_gadgets/poseidon/primitives/trait.SpongeMode.js" async></script></section></div></main></body></html>
+</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="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a></nav><nav class="sidebar"><a class="logo-container" href="../../../halo2_gadgets/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><h2 class="location"><a href="#">SpongeMode</a></h2><div class="sidebar-elems"><section><h3><a href="#implementors">Implementors</a></h3></section><h2><a href="index.html">In halo2_gadgets::poseidon::primitives</a></h2></div></nav><main><div class="width-limiter"><nav class="sub"><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../static.files/wheel-7b819b6101059cd0.svg"></a></div></form></nav><section id="main-content" class="content"><div class="main-heading"><h1>Trait <a href="../../index.html">halo2_gadgets</a>::<wbr><a href="../index.html">poseidon</a>::<wbr><a href="index.html">primitives</a>::<wbr><a class="trait" href="#">SpongeMode</a><button id="copy-path" title="Copy item path to clipboard"><img src="../../../static.files/clipboard-7571035ce49a181d.svg" width="19" height="18" alt="Copy item path"></button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#164">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>&#x2212;</span>]</button></span></div><pre class="rust item-decl"><code>pub trait SpongeMode: SealedSpongeMode { }</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>The state of the <code>Sponge</code>.</p>
+</div></details><h2 id="implementors" class="small-section-header">Implementors<a href="#implementors" class="anchor">§</a></h2><div id="implementors-list"><section id="impl-SpongeMode-for-Absorbing%3CF,+RATE%3E" class="impl"><a class="src rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#174">source</a><a href="#impl-SpongeMode-for-Absorbing%3CF,+RATE%3E" class="anchor">§</a><h3 class="code-header">impl&lt;F, const RATE: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>&gt; <a class="trait" href="trait.SpongeMode.html" title="trait halo2_gadgets::poseidon::primitives::SpongeMode">SpongeMode</a> for <a class="struct" href="struct.Absorbing.html" title="struct halo2_gadgets::poseidon::primitives::Absorbing">Absorbing</a>&lt;F, RATE&gt;</h3></section><section id="impl-SpongeMode-for-Squeezing%3CF,+RATE%3E" class="impl"><a class="src rightside" href="../../../src/halo2_gadgets/poseidon/primitives.rs.html#175">source</a><a href="#impl-SpongeMode-for-Squeezing%3CF,+RATE%3E" class="anchor">§</a><h3 class="code-header">impl&lt;F, const RATE: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>&gt; <a class="trait" href="trait.SpongeMode.html" title="trait halo2_gadgets::poseidon::primitives::SpongeMode">SpongeMode</a> for <a class="struct" href="struct.Squeezing.html" title="struct halo2_gadgets::poseidon::primitives::Squeezing">Squeezing</a>&lt;F, RATE&gt;</h3></section></div><script src="../../../implementors/halo2_gadgets/poseidon/primitives/trait.SpongeMode.js" async></script></section></div></main></body></html>