diff --git a/previews/PR2/.documenter-siteinfo.json b/previews/PR2/.documenter-siteinfo.json
new file mode 100644
index 0000000..36470e4
--- /dev/null
+++ b/previews/PR2/.documenter-siteinfo.json
@@ -0,0 +1 @@
+{"documenter":{"julia_version":"1.12.0-DEV.766","generation_timestamp":"2024-06-22T17:52:29","documenter_version":"1.4.1"}}
\ No newline at end of file
diff --git a/previews/PR2/assets/documenter.js b/previews/PR2/assets/documenter.js
new file mode 100644
index 0000000..c6562b5
--- /dev/null
+++ b/previews/PR2/assets/documenter.js
@@ -0,0 +1,1050 @@
+// Generated by Documenter.jl
+requirejs.config({
+ paths: {
+ 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia.min',
+ 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min',
+ 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.13.2/jquery-ui.min',
+ 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/contrib/auto-render.min',
+ 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.0/jquery.min',
+ 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min',
+ 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/katex.min',
+ 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/highlight.min',
+ 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia-repl.min',
+ },
+ shim: {
+ "highlight-julia": {
+ "deps": [
+ "highlight"
+ ]
+ },
+ "katex-auto-render": {
+ "deps": [
+ "katex"
+ ]
+ },
+ "headroom-jquery": {
+ "deps": [
+ "jquery",
+ "headroom"
+ ]
+ },
+ "highlight-julia-repl": {
+ "deps": [
+ "highlight"
+ ]
+ }
+}
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) {
+$(document).ready(function() {
+ renderMathInElement(
+ document.body,
+ {
+ "delimiters": [
+ {
+ "left": "$",
+ "right": "$",
+ "display": false
+ },
+ {
+ "left": "$$",
+ "right": "$$",
+ "display": true
+ },
+ {
+ "left": "\\[",
+ "right": "\\]",
+ "display": true
+ }
+ ]
+}
+
+ );
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) {
+$(document).ready(function() {
+ hljs.highlightAll();
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+let timer = 0;
+var isExpanded = true;
+
+$(document).on("click", ".docstring header", function () {
+ let articleToggleTitle = "Expand docstring";
+
+ debounce(() => {
+ if ($(this).siblings("section").is(":visible")) {
+ $(this)
+ .find(".docstring-article-toggle-button")
+ .removeClass("fa-chevron-down")
+ .addClass("fa-chevron-right");
+ } else {
+ $(this)
+ .find(".docstring-article-toggle-button")
+ .removeClass("fa-chevron-right")
+ .addClass("fa-chevron-down");
+
+ articleToggleTitle = "Collapse docstring";
+ }
+
+ $(this)
+ .find(".docstring-article-toggle-button")
+ .prop("title", articleToggleTitle);
+ $(this).siblings("section").slideToggle();
+ });
+});
+
+$(document).on("click", ".docs-article-toggle-button", function (event) {
+ let articleToggleTitle = "Expand docstring";
+ let navArticleToggleTitle = "Expand all docstrings";
+ let animationSpeed = event.noToggleAnimation ? 0 : 400;
+
+ debounce(() => {
+ if (isExpanded) {
+ $(this).removeClass("fa-chevron-up").addClass("fa-chevron-down");
+ $(".docstring-article-toggle-button")
+ .removeClass("fa-chevron-down")
+ .addClass("fa-chevron-right");
+
+ isExpanded = false;
+
+ $(".docstring section").slideUp(animationSpeed);
+ } else {
+ $(this).removeClass("fa-chevron-down").addClass("fa-chevron-up");
+ $(".docstring-article-toggle-button")
+ .removeClass("fa-chevron-right")
+ .addClass("fa-chevron-down");
+
+ isExpanded = true;
+ articleToggleTitle = "Collapse docstring";
+ navArticleToggleTitle = "Collapse all docstrings";
+
+ $(".docstring section").slideDown(animationSpeed);
+ }
+
+ $(this).prop("title", navArticleToggleTitle);
+ $(".docstring-article-toggle-button").prop("title", articleToggleTitle);
+ });
+});
+
+function debounce(callback, timeout = 300) {
+ if (Date.now() - timer > timeout) {
+ callback();
+ }
+
+ clearTimeout(timer);
+
+ timer = Date.now();
+}
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require([], function() {
+function addCopyButtonCallbacks() {
+ for (const el of document.getElementsByTagName("pre")) {
+ const button = document.createElement("button");
+ button.classList.add("copy-button", "fa-solid", "fa-copy");
+ button.setAttribute("aria-label", "Copy this code block");
+ button.setAttribute("title", "Copy");
+
+ el.appendChild(button);
+
+ const success = function () {
+ button.classList.add("success", "fa-check");
+ button.classList.remove("fa-copy");
+ };
+
+ const failure = function () {
+ button.classList.add("error", "fa-xmark");
+ button.classList.remove("fa-copy");
+ };
+
+ button.addEventListener("click", function () {
+ copyToClipboard(el.innerText).then(success, failure);
+
+ setTimeout(function () {
+ button.classList.add("fa-copy");
+ button.classList.remove("success", "fa-check", "fa-xmark");
+ }, 5000);
+ });
+ }
+}
+
+function copyToClipboard(text) {
+ // clipboard API is only available in secure contexts
+ if (window.navigator && window.navigator.clipboard) {
+ return window.navigator.clipboard.writeText(text);
+ } else {
+ return new Promise(function (resolve, reject) {
+ try {
+ const el = document.createElement("textarea");
+ el.textContent = text;
+ el.style.position = "fixed";
+ el.style.opacity = 0;
+ document.body.appendChild(el);
+ el.select();
+ document.execCommand("copy");
+
+ resolve();
+ } catch (err) {
+ reject(err);
+ } finally {
+ document.body.removeChild(el);
+ }
+ });
+ }
+}
+
+if (document.readyState === "loading") {
+ document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks);
+} else {
+ addCopyButtonCallbacks();
+}
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) {
+
+// Manages the top navigation bar (hides it when the user starts scrolling down on the
+// mobile).
+window.Headroom = Headroom; // work around buggy module loading?
+$(document).ready(function () {
+ $("#documenter .docs-navbar").headroom({
+ tolerance: { up: 10, down: 10 },
+ });
+});
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+$(document).ready(function () {
+ let meta = $("div[data-docstringscollapsed]").data();
+
+ if (meta?.docstringscollapsed) {
+ $("#documenter-article-toggle-button").trigger({
+ type: "click",
+ noToggleAnimation: true,
+ });
+ }
+});
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+/*
+To get an in-depth about the thought process you can refer: https://hetarth02.hashnode.dev/series/gsoc
+
+PSEUDOCODE:
+
+Searching happens automatically as the user types or adjusts the selected filters.
+To preserve responsiveness, as much as possible of the slow parts of the search are done
+in a web worker. Searching and result generation are done in the worker, and filtering and
+DOM updates are done in the main thread. The filters are in the main thread as they should
+be very quick to apply. This lets filters be changed without re-searching with minisearch
+(which is possible even if filtering is on the worker thread) and also lets filters be
+changed _while_ the worker is searching and without message passing (neither of which are
+possible if filtering is on the worker thread)
+
+SEARCH WORKER:
+
+Import minisearch
+
+Build index
+
+On message from main thread
+ run search
+ find the first 200 unique results from each category, and compute their divs for display
+ note that this is necessary and sufficient information for the main thread to find the
+ first 200 unique results from any given filter set
+ post results to main thread
+
+MAIN:
+
+Launch worker
+
+Declare nonconstant globals (worker_is_running, last_search_text, unfiltered_results)
+
+On text update
+ if worker is not running, launch_search()
+
+launch_search
+ set worker_is_running to true, set last_search_text to the search text
+ post the search query to worker
+
+on message from worker
+ if last_search_text is not the same as the text in the search field,
+ the latest search result is not reflective of the latest search query, so update again
+ launch_search()
+ otherwise
+ set worker_is_running to false
+
+ regardless, display the new search results to the user
+ save the unfiltered_results as a global
+ update_search()
+
+on filter click
+ adjust the filter selection
+ update_search()
+
+update_search
+ apply search filters by looping through the unfiltered_results and finding the first 200
+ unique results that match the filters
+
+ Update the DOM
+*/
+
+/////// SEARCH WORKER ///////
+
+function worker_function(documenterSearchIndex, documenterBaseURL, filters) {
+ importScripts(
+ "https://cdn.jsdelivr.net/npm/minisearch@6.1.0/dist/umd/index.min.js"
+ );
+
+ let data = documenterSearchIndex.map((x, key) => {
+ x["id"] = key; // minisearch requires a unique for each object
+ return x;
+ });
+
+ // list below is the lunr 2.1.3 list minus the intersect with names(Base)
+ // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with)
+ // ideally we'd just filter the original list but it's not available as a variable
+ const stopWords = new Set([
+ "a",
+ "able",
+ "about",
+ "across",
+ "after",
+ "almost",
+ "also",
+ "am",
+ "among",
+ "an",
+ "and",
+ "are",
+ "as",
+ "at",
+ "be",
+ "because",
+ "been",
+ "but",
+ "by",
+ "can",
+ "cannot",
+ "could",
+ "dear",
+ "did",
+ "does",
+ "either",
+ "ever",
+ "every",
+ "from",
+ "got",
+ "had",
+ "has",
+ "have",
+ "he",
+ "her",
+ "hers",
+ "him",
+ "his",
+ "how",
+ "however",
+ "i",
+ "if",
+ "into",
+ "it",
+ "its",
+ "just",
+ "least",
+ "like",
+ "likely",
+ "may",
+ "me",
+ "might",
+ "most",
+ "must",
+ "my",
+ "neither",
+ "no",
+ "nor",
+ "not",
+ "of",
+ "off",
+ "often",
+ "on",
+ "or",
+ "other",
+ "our",
+ "own",
+ "rather",
+ "said",
+ "say",
+ "says",
+ "she",
+ "should",
+ "since",
+ "so",
+ "some",
+ "than",
+ "that",
+ "the",
+ "their",
+ "them",
+ "then",
+ "there",
+ "these",
+ "they",
+ "this",
+ "tis",
+ "to",
+ "too",
+ "twas",
+ "us",
+ "wants",
+ "was",
+ "we",
+ "were",
+ "what",
+ "when",
+ "who",
+ "whom",
+ "why",
+ "will",
+ "would",
+ "yet",
+ "you",
+ "your",
+ ]);
+
+ let index = new MiniSearch({
+ fields: ["title", "text"], // fields to index for full-text search
+ storeFields: ["location", "title", "text", "category", "page"], // fields to return with results
+ processTerm: (term) => {
+ let word = stopWords.has(term) ? null : term;
+ if (word) {
+ // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names
+ word = word
+ .replace(/^[^a-zA-Z0-9@!]+/, "")
+ .replace(/[^a-zA-Z0-9@!]+$/, "");
+
+ word = word.toLowerCase();
+ }
+
+ return word ?? null;
+ },
+ // add . as a separator, because otherwise "title": "Documenter.Anchors.add!", would not
+ // find anything if searching for "add!", only for the entire qualification
+ tokenize: (string) => string.split(/[\s\-\.]+/),
+ // options which will be applied during the search
+ searchOptions: {
+ prefix: true,
+ boost: { title: 100 },
+ fuzzy: 2,
+ },
+ });
+
+ index.addAll(data);
+
+ /**
+ * Used to map characters to HTML entities.
+ * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts
+ */
+ const htmlEscapes = {
+ "&": "&",
+ "<": "<",
+ ">": ">",
+ '"': """,
+ "'": "'",
+ };
+
+ /**
+ * Used to match HTML entities and HTML characters.
+ * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts
+ */
+ const reUnescapedHtml = /[&<>"']/g;
+ const reHasUnescapedHtml = RegExp(reUnescapedHtml.source);
+
+ /**
+ * Escape function from lodash
+ * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts
+ */
+ function escape(string) {
+ return string && reHasUnescapedHtml.test(string)
+ ? string.replace(reUnescapedHtml, (chr) => htmlEscapes[chr])
+ : string || "";
+ }
+
+ /**
+ * Make the result component given a minisearch result data object and the value
+ * of the search input as queryString. To view the result object structure, refer:
+ * https://lucaong.github.io/minisearch/modules/_minisearch_.html#searchresult
+ *
+ * @param {object} result
+ * @param {string} querystring
+ * @returns string
+ */
+ function make_search_result(result, querystring) {
+ let search_divider = `
`;
+ let display_link =
+ result.location.slice(Math.max(0), Math.min(50, result.location.length)) +
+ (result.location.length > 30 ? "..." : ""); // To cut-off the link because it messes with the overflow of the whole div
+
+ if (result.page !== "") {
+ display_link += ` (${result.page})`;
+ }
+
+ let textindex = new RegExp(`${querystring}`, "i").exec(result.text);
+ let text =
+ textindex !== null
+ ? result.text.slice(
+ Math.max(textindex.index - 100, 0),
+ Math.min(
+ textindex.index + querystring.length + 100,
+ result.text.length
+ )
+ )
+ : ""; // cut-off text before and after from the match
+
+ text = text.length ? escape(text) : "";
+
+ let display_result = text.length
+ ? "..." +
+ text.replace(
+ new RegExp(`${escape(querystring)}`, "i"), // For first occurrence
+ '$& '
+ ) +
+ "..."
+ : ""; // highlights the match
+
+ let in_code = false;
+ if (!["page", "section"].includes(result.category.toLowerCase())) {
+ in_code = true;
+ }
+
+ // We encode the full url to escape some special characters which can lead to broken links
+ let result_div = `
+
+
+
${escape(result.title)}
+
${result.category}
+
+
+ ${display_result}
+
+
+ ${display_link}
+
+
+ ${search_divider}
+ `;
+
+ return result_div;
+ }
+
+ self.onmessage = function (e) {
+ let query = e.data;
+ let results = index.search(query, {
+ filter: (result) => {
+ // Only return relevant results
+ return result.score >= 1;
+ },
+ });
+
+ // Pre-filter to deduplicate and limit to 200 per category to the extent
+ // possible without knowing what the filters are.
+ let filtered_results = [];
+ let counts = {};
+ for (let filter of filters) {
+ counts[filter] = 0;
+ }
+ let present = {};
+
+ for (let result of results) {
+ cat = result.category;
+ cnt = counts[cat];
+ if (cnt < 200) {
+ id = cat + "---" + result.location;
+ if (present[id]) {
+ continue;
+ }
+ present[id] = true;
+ filtered_results.push({
+ location: result.location,
+ category: cat,
+ div: make_search_result(result, query),
+ });
+ }
+ }
+
+ postMessage(filtered_results);
+ };
+}
+
+// `worker = Threads.@spawn worker_function(documenterSearchIndex)`, but in JavaScript!
+const filters = [
+ ...new Set(documenterSearchIndex["docs"].map((x) => x.category)),
+];
+const worker_str =
+ "(" +
+ worker_function.toString() +
+ ")(" +
+ JSON.stringify(documenterSearchIndex["docs"]) +
+ "," +
+ JSON.stringify(documenterBaseURL) +
+ "," +
+ JSON.stringify(filters) +
+ ")";
+const worker_blob = new Blob([worker_str], { type: "text/javascript" });
+const worker = new Worker(URL.createObjectURL(worker_blob));
+
+/////// SEARCH MAIN ///////
+
+// Whether the worker is currently handling a search. This is a boolean
+// as the worker only ever handles 1 or 0 searches at a time.
+var worker_is_running = false;
+
+// The last search text that was sent to the worker. This is used to determine
+// if the worker should be launched again when it reports back results.
+var last_search_text = "";
+
+// The results of the last search. This, in combination with the state of the filters
+// in the DOM, is used compute the results to display on calls to update_search.
+var unfiltered_results = [];
+
+// Which filter is currently selected
+var selected_filter = "";
+
+$(document).on("input", ".documenter-search-input", function (event) {
+ if (!worker_is_running) {
+ launch_search();
+ }
+});
+
+function launch_search() {
+ worker_is_running = true;
+ last_search_text = $(".documenter-search-input").val();
+ worker.postMessage(last_search_text);
+}
+
+worker.onmessage = function (e) {
+ if (last_search_text !== $(".documenter-search-input").val()) {
+ launch_search();
+ } else {
+ worker_is_running = false;
+ }
+
+ unfiltered_results = e.data;
+ update_search();
+};
+
+$(document).on("click", ".search-filter", function () {
+ if ($(this).hasClass("search-filter-selected")) {
+ selected_filter = "";
+ } else {
+ selected_filter = $(this).text().toLowerCase();
+ }
+
+ // This updates search results and toggles classes for UI:
+ update_search();
+});
+
+/**
+ * Make/Update the search component
+ */
+function update_search() {
+ let querystring = $(".documenter-search-input").val();
+
+ if (querystring.trim()) {
+ if (selected_filter == "") {
+ results = unfiltered_results;
+ } else {
+ results = unfiltered_results.filter((result) => {
+ return selected_filter == result.category.toLowerCase();
+ });
+ }
+
+ let search_result_container = ``;
+ let modal_filters = make_modal_body_filters();
+ let search_divider = `
`;
+
+ if (results.length) {
+ let links = [];
+ let count = 0;
+ let search_results = "";
+
+ for (var i = 0, n = results.length; i < n && count < 200; ++i) {
+ let result = results[i];
+ if (result.location && !links.includes(result.location)) {
+ search_results += result.div;
+ count++;
+ links.push(result.location);
+ }
+ }
+
+ if (count == 1) {
+ count_str = "1 result";
+ } else if (count == 200) {
+ count_str = "200+ results";
+ } else {
+ count_str = count + " results";
+ }
+ let result_count = `${count_str}
`;
+
+ search_result_container = `
+
+ ${modal_filters}
+ ${search_divider}
+ ${result_count}
+
+ ${search_results}
+
+
+ `;
+ } else {
+ search_result_container = `
+
+ ${modal_filters}
+ ${search_divider}
+
0 result(s)
+
+ No result found!
+ `;
+ }
+
+ if ($(".search-modal-card-body").hasClass("is-justify-content-center")) {
+ $(".search-modal-card-body").removeClass("is-justify-content-center");
+ }
+
+ $(".search-modal-card-body").html(search_result_container);
+ } else {
+ if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) {
+ $(".search-modal-card-body").addClass("is-justify-content-center");
+ }
+
+ $(".search-modal-card-body").html(`
+ Type something to get started!
+ `);
+ }
+}
+
+/**
+ * Make the modal filter html
+ *
+ * @returns string
+ */
+function make_modal_body_filters() {
+ let str = filters
+ .map((val) => {
+ if (selected_filter == val.toLowerCase()) {
+ return `${val} `;
+ } else {
+ return `${val} `;
+ }
+ })
+ .join("");
+
+ return `
+
+ Filters:
+ ${str}
+
`;
+}
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// Modal settings dialog
+$(document).ready(function () {
+ var settings = $("#documenter-settings");
+ $("#documenter-settings-button").click(function () {
+ settings.toggleClass("is-active");
+ });
+ // Close the dialog if X is clicked
+ $("#documenter-settings button.delete").click(function () {
+ settings.removeClass("is-active");
+ });
+ // Close dialog if ESC is pressed
+ $(document).keyup(function (e) {
+ if (e.keyCode == 27) settings.removeClass("is-active");
+ });
+});
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+$(document).ready(function () {
+ let search_modal_header = `
+
+ `;
+
+ let initial_search_body = `
+ Type something to get started!
+ `;
+
+ let search_modal_footer = `
+
+ `;
+
+ $(document.body).append(
+ `
+
+
+
+ ${search_modal_header}
+
+ ${initial_search_body}
+
+ ${search_modal_footer}
+
+
+ `
+ );
+
+ document.querySelector(".docs-search-query").addEventListener("click", () => {
+ openModal();
+ });
+
+ document
+ .querySelector(".close-search-modal")
+ .addEventListener("click", () => {
+ closeModal();
+ });
+
+ $(document).on("click", ".search-result-link", function () {
+ closeModal();
+ });
+
+ document.addEventListener("keydown", (event) => {
+ if ((event.ctrlKey || event.metaKey) && event.key === "/") {
+ openModal();
+ } else if (event.key === "Escape") {
+ closeModal();
+ }
+
+ return false;
+ });
+
+ // Functions to open and close a modal
+ function openModal() {
+ let searchModal = document.querySelector("#search-modal");
+
+ searchModal.classList.add("is-active");
+ document.querySelector(".documenter-search-input").focus();
+ }
+
+ function closeModal() {
+ let searchModal = document.querySelector("#search-modal");
+ let initial_search_body = `
+ Type something to get started!
+ `;
+
+ searchModal.classList.remove("is-active");
+ document.querySelector(".documenter-search-input").blur();
+
+ if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) {
+ $(".search-modal-card-body").addClass("is-justify-content-center");
+ }
+
+ $(".documenter-search-input").val("");
+ $(".search-modal-card-body").html(initial_search_body);
+ }
+
+ document
+ .querySelector("#search-modal .modal-background")
+ .addEventListener("click", () => {
+ closeModal();
+ });
+});
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// Manages the showing and hiding of the sidebar.
+$(document).ready(function () {
+ var sidebar = $("#documenter > .docs-sidebar");
+ var sidebar_button = $("#documenter-sidebar-button");
+ sidebar_button.click(function (ev) {
+ ev.preventDefault();
+ sidebar.toggleClass("visible");
+ if (sidebar.hasClass("visible")) {
+ // Makes sure that the current menu item is visible in the sidebar.
+ $("#documenter .docs-menu a.is-active").focus();
+ }
+ });
+ $("#documenter > .docs-main").bind("click", function (ev) {
+ if ($(ev.target).is(sidebar_button)) {
+ return;
+ }
+ if (sidebar.hasClass("visible")) {
+ sidebar.removeClass("visible");
+ }
+ });
+});
+
+// Resizes the package name / sitename in the sidebar if it is too wide.
+// Inspired by: https://github.com/davatron5000/FitText.js
+$(document).ready(function () {
+ e = $("#documenter .docs-autofit");
+ function resize() {
+ var L = parseInt(e.css("max-width"), 10);
+ var L0 = e.width();
+ if (L0 > L) {
+ var h0 = parseInt(e.css("font-size"), 10);
+ e.css("font-size", (L * h0) / L0);
+ // TODO: make sure it survives resizes?
+ }
+ }
+ // call once and then register events
+ resize();
+ $(window).resize(resize);
+ $(window).on("orientationchange", resize);
+});
+
+// Scroll the navigation bar to the currently selected menu item
+$(document).ready(function () {
+ var sidebar = $("#documenter .docs-menu").get(0);
+ var active = $("#documenter .docs-menu .is-active").get(0);
+ if (typeof active !== "undefined") {
+ sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15;
+ }
+});
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// Theme picker setup
+$(document).ready(function () {
+ // onchange callback
+ $("#documenter-themepicker").change(function themepick_callback(ev) {
+ var themename = $("#documenter-themepicker option:selected").attr("value");
+ if (themename === "auto") {
+ // set_theme(window.matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light');
+ window.localStorage.removeItem("documenter-theme");
+ } else {
+ // set_theme(themename);
+ window.localStorage.setItem("documenter-theme", themename);
+ }
+ // We re-use the global function from themeswap.js to actually do the swapping.
+ set_theme_from_local_storage();
+ });
+
+ // Make sure that the themepicker displays the correct theme when the theme is retrieved
+ // from localStorage
+ if (typeof window.localStorage !== "undefined") {
+ var theme = window.localStorage.getItem("documenter-theme");
+ if (theme !== null) {
+ $("#documenter-themepicker option").each(function (i, e) {
+ e.selected = e.value === theme;
+ });
+ }
+ }
+});
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// update the version selector with info from the siteinfo.js and ../versions.js files
+$(document).ready(function () {
+ // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the
+ // siteinfo.js file, we just return immediately and not display the version selector.
+ if (
+ typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === "boolean" &&
+ DOCUMENTER_VERSION_SELECTOR_DISABLED
+ ) {
+ return;
+ }
+
+ var version_selector = $("#documenter .docs-version-selector");
+ var version_selector_select = $("#documenter .docs-version-selector select");
+
+ version_selector_select.change(function (x) {
+ target_href = version_selector_select
+ .children("option:selected")
+ .get(0).value;
+ window.location.href = target_href;
+ });
+
+ // add the current version to the selector based on siteinfo.js, but only if the selector is empty
+ if (
+ typeof DOCUMENTER_CURRENT_VERSION !== "undefined" &&
+ $("#version-selector > option").length == 0
+ ) {
+ var option = $(
+ "" +
+ DOCUMENTER_CURRENT_VERSION +
+ " "
+ );
+ version_selector_select.append(option);
+ }
+
+ if (typeof DOC_VERSIONS !== "undefined") {
+ var existing_versions = version_selector_select.children("option");
+ var existing_versions_texts = existing_versions.map(function (i, x) {
+ return x.text;
+ });
+ DOC_VERSIONS.forEach(function (each) {
+ var version_url = documenterBaseURL + "/../" + each + "/";
+ var existing_id = $.inArray(each, existing_versions_texts);
+ // if not already in the version selector, add it as a new option,
+ // otherwise update the old option with the URL and enable it
+ if (existing_id == -1) {
+ var option = $(
+ "" + each + " "
+ );
+ version_selector_select.append(option);
+ } else {
+ var option = existing_versions[existing_id];
+ option.value = version_url;
+ option.disabled = false;
+ }
+ });
+ }
+
+ // only show the version selector if the selector has been populated
+ if (version_selector_select.children("option").length > 0) {
+ version_selector.toggleClass("visible");
+ }
+});
+
+})
diff --git a/previews/PR2/assets/themes/documenter-dark.css b/previews/PR2/assets/themes/documenter-dark.css
new file mode 100644
index 0000000..1d71701
--- /dev/null
+++ b/previews/PR2/assets/themes/documenter-dark.css
@@ -0,0 +1,7 @@
+html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link,html.theme--documenter-dark .pagination-ellipsis,html.theme--documenter-dark .file-cta,html.theme--documenter-dark .file-name,html.theme--documenter-dark .select select,html.theme--documenter-dark .textarea,html.theme--documenter-dark .input,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input,html.theme--documenter-dark .button{-moz-appearance:none;-webkit-appearance:none;align-items:center;border:1px solid transparent;border-radius:.4em;box-shadow:none;display:inline-flex;font-size:1rem;height:2.5em;justify-content:flex-start;line-height:1.5;padding-bottom:calc(0.5em - 1px);padding-left:calc(0.75em - 1px);padding-right:calc(0.75em - 1px);padding-top:calc(0.5em - 1px);position:relative;vertical-align:top}html.theme--documenter-dark .pagination-previous:focus,html.theme--documenter-dark .pagination-next:focus,html.theme--documenter-dark .pagination-link:focus,html.theme--documenter-dark .pagination-ellipsis:focus,html.theme--documenter-dark .file-cta:focus,html.theme--documenter-dark .file-name:focus,html.theme--documenter-dark .select select:focus,html.theme--documenter-dark .textarea:focus,html.theme--documenter-dark .input:focus,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input:focus,html.theme--documenter-dark .button:focus,html.theme--documenter-dark .is-focused.pagination-previous,html.theme--documenter-dark .is-focused.pagination-next,html.theme--documenter-dark .is-focused.pagination-link,html.theme--documenter-dark .is-focused.pagination-ellipsis,html.theme--documenter-dark .is-focused.file-cta,html.theme--documenter-dark .is-focused.file-name,html.theme--documenter-dark .select select.is-focused,html.theme--documenter-dark .is-focused.textarea,html.theme--documenter-dark .is-focused.input,html.theme--documenter-dark #documenter 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.pagination-previous,html.theme--documenter-dark fieldset[disabled] .pagination-previous,fieldset[disabled] html.theme--documenter-dark .pagination-next,html.theme--documenter-dark fieldset[disabled] .pagination-next,fieldset[disabled] html.theme--documenter-dark .pagination-link,html.theme--documenter-dark fieldset[disabled] .pagination-link,fieldset[disabled] html.theme--documenter-dark .pagination-ellipsis,html.theme--documenter-dark fieldset[disabled] .pagination-ellipsis,fieldset[disabled] html.theme--documenter-dark .file-cta,html.theme--documenter-dark fieldset[disabled] .file-cta,fieldset[disabled] html.theme--documenter-dark .file-name,html.theme--documenter-dark fieldset[disabled] .file-name,fieldset[disabled] html.theme--documenter-dark .select select,fieldset[disabled] html.theme--documenter-dark .textarea,fieldset[disabled] html.theme--documenter-dark .input,fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar 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+ Theme: a11y-dark
+ Author: @ericwbailey
+ Maintainer: @ericwbailey
+
+ Based on the Tomorrow Night Eighties theme: https://github.com/isagalaev/highlight.js/blob/master/src/styles/tomorrow-night-eighties.css
+*/}html.theme--documenter-dark html{background-color:#1f2424;font-size:16px;-moz-osx-font-smoothing:grayscale;-webkit-font-smoothing:antialiased;min-width:300px;overflow-x:auto;overflow-y:scroll;text-rendering:optimizeLegibility;text-size-adjust:100%}html.theme--documenter-dark article,html.theme--documenter-dark aside,html.theme--documenter-dark figure,html.theme--documenter-dark footer,html.theme--documenter-dark header,html.theme--documenter-dark hgroup,html.theme--documenter-dark section{display:block}html.theme--documenter-dark body,html.theme--documenter-dark button,html.theme--documenter-dark input,html.theme--documenter-dark optgroup,html.theme--documenter-dark select,html.theme--documenter-dark textarea{font-family:"Lato Medium",-apple-system,BlinkMacSystemFont,"Segoe UI","Helvetica Neue","Helvetica","Arial",sans-serif}html.theme--documenter-dark code,html.theme--documenter-dark 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kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content 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.button.is-warning.is-active{background-color:#946e00;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-warning[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning{background-color:#ad8100;border-color:#ad8100;box-shadow:none}html.theme--documenter-dark .button.is-warning.is-inverted{background-color:#fff;color:#ad8100}html.theme--documenter-dark .button.is-warning.is-inverted:hover,html.theme--documenter-dark .button.is-warning.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#ad8100}html.theme--documenter-dark .button.is-warning.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark 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.button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #9e1b0d #9e1b0d !important}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#fdeeec;color:#ec311d}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#fce3e0;border-color:transparent;color:#ec311d}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#fcd8d5;border-color:transparent;color:#ec311d}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark .button.is-normal{font-size:1rem}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#5e6d6f;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--documenter-dark .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--documenter-dark .buttons .button{margin-bottom:0.5rem}html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--documenter-dark .buttons:last-child{margin-bottom:-0.5rem}html.theme--documenter-dark .buttons:not(:last-child){margin-bottom:1rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--documenter-dark .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--documenter-dark .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--documenter-dark .buttons.has-addons .button:last-child{margin-right:0}html.theme--documenter-dark .buttons.has-addons .button:hover,html.theme--documenter-dark .buttons.has-addons .button.is-hovered{z-index:2}html.theme--documenter-dark .buttons.has-addons .button:focus,html.theme--documenter-dark .buttons.has-addons .button.is-focused,html.theme--documenter-dark .buttons.has-addons .button:active,html.theme--documenter-dark .buttons.has-addons .button.is-active,html.theme--documenter-dark .buttons.has-addons .button.is-selected{z-index:3}html.theme--documenter-dark .buttons.has-addons .button:focus:hover,html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover,html.theme--documenter-dark .buttons.has-addons .button:active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-active:hover,html.theme--documenter-dark .buttons.has-addons 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diff --git a/previews/PR2/assets/themes/documenter-light.css b/previews/PR2/assets/themes/documenter-light.css
new file mode 100644
index 0000000..07f9d08
--- /dev/null
+++ b/previews/PR2/assets/themes/documenter-light.css
@@ -0,0 +1,9 @@
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+ Theme: Default
+ Description: Original highlight.js style
+ Author: (c) Ivan Sagalaev
+ Maintainer: @highlightjs/core-team
+ Website: https://highlightjs.org/
+ License: see project LICENSE
+ Touched: 2021
+*/pre code.hljs{display:block;overflow-x:auto;padding:1em}code.hljs{padding:3px 5px}.hljs{background:#F3F3F3;color:#444}.hljs-comment{color:#697070}.hljs-tag,.hljs-punctuation{color:#444a}.hljs-tag .hljs-name,.hljs-tag .hljs-attr{color:#444}.hljs-keyword,.hljs-attribute,.hljs-selector-tag,.hljs-meta .hljs-keyword,.hljs-doctag,.hljs-name{font-weight:bold}.hljs-type,.hljs-string,.hljs-number,.hljs-selector-id,.hljs-selector-class,.hljs-quote,.hljs-template-tag,.hljs-deletion{color:#880000}.hljs-title,.hljs-section{color:#880000;font-weight:bold}.hljs-regexp,.hljs-symbol,.hljs-variable,.hljs-template-variable,.hljs-link,.hljs-selector-attr,.hljs-operator,.hljs-selector-pseudo{color:#ab5656}.hljs-literal{color:#695}.hljs-built_in,.hljs-bullet,.hljs-code,.hljs-addition{color:#397300}.hljs-meta{color:#1f7199}.hljs-meta .hljs-string{color:#38a}.hljs-emphasis{font-style:italic}.hljs-strong{font-weight:bold}.gap-4{gap:1rem}
diff --git a/previews/PR2/assets/themeswap.js b/previews/PR2/assets/themeswap.js
new file mode 100644
index 0000000..9f5eebe
--- /dev/null
+++ b/previews/PR2/assets/themeswap.js
@@ -0,0 +1,84 @@
+// Small function to quickly swap out themes. Gets put into the tag..
+function set_theme_from_local_storage() {
+ // Initialize the theme to null, which means default
+ var theme = null;
+ // If the browser supports the localstorage and is not disabled then try to get the
+ // documenter theme
+ if (window.localStorage != null) {
+ // Get the user-picked theme from localStorage. May be `null`, which means the default
+ // theme.
+ theme = window.localStorage.getItem("documenter-theme");
+ }
+ // Check if the users preference is for dark color scheme
+ var darkPreference =
+ window.matchMedia("(prefers-color-scheme: dark)").matches === true;
+ // Initialize a few variables for the loop:
+ //
+ // - active: will contain the index of the theme that should be active. Note that there
+ // is no guarantee that localStorage contains sane values. If `active` stays `null`
+ // we either could not find the theme or it is the default (primary) theme anyway.
+ // Either way, we then need to stick to the primary theme.
+ //
+ // - disabled: style sheets that should be disabled (i.e. all the theme style sheets
+ // that are not the currently active theme)
+ var active = null;
+ var disabled = [];
+ var primaryLightTheme = null;
+ var primaryDarkTheme = null;
+ for (var i = 0; i < document.styleSheets.length; i++) {
+ var ss = document.styleSheets[i];
+ // The tag of each style sheet is expected to have a data-theme-name attribute
+ // which must contain the name of the theme. The names in localStorage much match this.
+ var themename = ss.ownerNode.getAttribute("data-theme-name");
+ // attribute not set => non-theme stylesheet => ignore
+ if (themename === null) continue;
+ // To distinguish the default (primary) theme, it needs to have the data-theme-primary
+ // attribute set.
+ if (ss.ownerNode.getAttribute("data-theme-primary") !== null) {
+ primaryLightTheme = themename;
+ }
+ // Check if the theme is primary dark theme so that we could store its name in darkTheme
+ if (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null) {
+ primaryDarkTheme = themename;
+ }
+ // If we find a matching theme (and it's not the default), we'll set active to non-null
+ if (themename === theme) active = i;
+ // Store the style sheets of inactive themes so that we could disable them
+ if (themename !== theme) disabled.push(ss);
+ }
+ var activeTheme = null;
+ if (active !== null) {
+ // If we did find an active theme, we'll (1) add the theme--$(theme) class to
+ document.getElementsByTagName("html")[0].className = "theme--" + theme;
+ activeTheme = theme;
+ } else {
+ // If we did _not_ find an active theme, then we need to fall back to the primary theme
+ // which can either be dark or light, depending on the user's OS preference.
+ var activeTheme = darkPreference ? primaryDarkTheme : primaryLightTheme;
+ // In case it somehow happens that the relevant primary theme was not found in the
+ // preceding loop, we abort without doing anything.
+ if (activeTheme === null) {
+ console.error("Unable to determine primary theme.");
+ return;
+ }
+ // When switching to the primary light theme, then we must not have a class name
+ // for the tag. That's only for non-primary or the primary dark theme.
+ if (darkPreference) {
+ document.getElementsByTagName("html")[0].className =
+ "theme--" + activeTheme;
+ } else {
+ document.getElementsByTagName("html")[0].className = "";
+ }
+ }
+ for (var i = 0; i < document.styleSheets.length; i++) {
+ var ss = document.styleSheets[i];
+ // The tag of each style sheet is expected to have a data-theme-name attribute
+ // which must contain the name of the theme. The names in localStorage much match this.
+ var themename = ss.ownerNode.getAttribute("data-theme-name");
+ // attribute not set => non-theme stylesheet => ignore
+ if (themename === null) continue;
+ // we'll disable all the stylesheets, except for the active one
+ ss.disabled = !(themename == activeTheme);
+ }
+}
+set_theme_from_local_storage();
diff --git a/previews/PR2/assets/warner.js b/previews/PR2/assets/warner.js
new file mode 100644
index 0000000..3f6f5d0
--- /dev/null
+++ b/previews/PR2/assets/warner.js
@@ -0,0 +1,52 @@
+function maybeAddWarning() {
+ // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE
+ // in siteinfo.js.
+ // If either of these are undefined something went horribly wrong, so we abort.
+ if (
+ window.DOCUMENTER_NEWEST === undefined ||
+ window.DOCUMENTER_CURRENT_VERSION === undefined ||
+ window.DOCUMENTER_STABLE === undefined
+ ) {
+ return;
+ }
+
+ // Current version is not a version number, so we can't tell if it's the newest version. Abort.
+ if (!/v(\d+\.)*\d+/.test(window.DOCUMENTER_CURRENT_VERSION)) {
+ return;
+ }
+
+ // Current version is newest version, so no need to add a warning.
+ if (window.DOCUMENTER_NEWEST === window.DOCUMENTER_CURRENT_VERSION) {
+ return;
+ }
+
+ // Add a noindex meta tag (unless one exists) so that search engines don't index this version of the docs.
+ if (document.body.querySelector('meta[name="robots"]') === null) {
+ const meta = document.createElement("meta");
+ meta.name = "robots";
+ meta.content = "noindex";
+
+ document.getElementsByTagName("head")[0].appendChild(meta);
+ }
+
+ const div = document.createElement("div");
+ div.classList.add("outdated-warning-overlay");
+ const closer = document.createElement("button");
+ closer.classList.add("outdated-warning-closer", "delete");
+ closer.addEventListener("click", function () {
+ document.body.removeChild(div);
+ });
+ const href = window.documenterBaseURL + "/../" + window.DOCUMENTER_STABLE;
+ div.innerHTML =
+ 'This documentation is not for the latest stable release, but for either the development version or an older release.Click here to go to the documentation for the latest stable release. ';
+ div.appendChild(closer);
+ document.body.appendChild(div);
+}
+
+if (document.readyState === "loading") {
+ document.addEventListener("DOMContentLoaded", maybeAddWarning);
+} else {
+ maybeAddWarning();
+}
diff --git a/previews/PR2/base/index.html b/previews/PR2/base/index.html
new file mode 100644
index 0000000..901ddd2
--- /dev/null
+++ b/previews/PR2/base/index.html
@@ -0,0 +1,2 @@
+
+MemViews in Base · MemViews.jl It is my hope that MemViews, or something like MemViews, will eventually be moved into Base Julia. This is because Base Julia, too, includes code that uses the concept of a memory-backed array. However, Base currently lacks any kind of interface and internal API to handle memory-backed objects.
See the related issue on JuliaLang/julia .
SubArray
is generic over too much, and is therefore too hard to reason about, and to uphold its guarantees.
First, it's generic over the array type, meaning it may be backed by Memory
or Vector
, but also UnitRange
or Base.LogRange
(bitstypes, so not backed by memory), BitMatrix
(memory-backed, but elements are stored packed), OffsetArrays
, CodeUnits
(memory-backed but immutable) and many more. What can you do with the underlying array, generally speaking? Take a pointer to it? No. Assume one-based indexing? No. Assume a stride of one? No. Assume mutability? No.
Second, it's generic over the index type. It may be UnitRange{Int}
, of course, but also Base.OneTo{UInt16}
, or StepRange{BigInteger}
, CartesianIndices
(which it itself generic over the indexes), Colon
. Can you define the subset of these types which indicate dense indices? I can't.
Third, it's multidimensional. It may collect
to a Vector
or Matrix
.
This is not a design flaw of SubArray
- it's a perfectly fine design choice, which enables SubArray
to be extremely flexible and broadly useful. Unfortunately, it also makes it nearly impossible to write robust, low-level code using SubArray
, because it's almost imopssible not to violate the assumptions of a subset of SubArray
s many concrete types. Practically speaking, what happens is that methods taking SubArray
fall back to only assuming what can be assumed about AbstractArray
- which may be inefficient, and buggy (as the recurring bugs due to assumption of one-based indexing has taught us).
In contrast, a MemView{T}
is always represented by exactly a MemoryRef{T}
and an Int
as length. You know exactly what you get.
Mutable and immutable memory views are statically distinguished, such that users can write methods that only take mutable memory views. This will statically prevent users from accidentally mutating e.g. strings.
The MemKind trait is used because constructing a MemView only for dispatch purposes may not be able to be optimised away by the compiler for some types (currently, strings).
MemKind could be replaced with a function that returned nothing
, or the correct MemView type directly, but it's nicer to dispatch on ::MemKind
than on ::Union{Nothing, Type{<:MemView}}
.
Currently, MemView
does not make use of Core.GenericMemory
's additional parameters, such as atomicity or address space. This may easily be added with a GenericMemView
type, similar to Memory
/ GenericMemory
.
I can't figure out how to support reinterpreted arrays. Any way I can think of doing so will sigificantly complicate MemView
, which takes away some of the appeal of this type's simplicity. It's possible that reinterpreted arrays are so outside Julia's ordinary memory management that this simply can't be done.
Currently, String
s are not backed by Memory
in Julia. Therefore, creating a MemView
of a string requires heap-allocating a new Memory
pointing to the existing memory of the string. This can be fixed if String
is re-implemented to be backed by Memory
, but I don't know enough details about the implementation of String
to know if this is practical.
In examples/alternative.jl
, there is an implementation where a MemView
is just a pointer and a length. This makes it nearly identical to Random.UnsafeView
, however, compared to UnsafeView
, this propsal has:
The MemKind
trait, useful to control dispatch to functions that can treat arrays as being memory The distinction between mutable and immutable memory views Overall, I like the alternative proposal less. Raw pointers are bad for safety and ergonomics, and they interact less nicely with the Julia runtime. Also, the existing GenericMemoryRef
is essentially perfect for this purpose.
Pointer-based memviews are cheaper to construct, and do not allocate for strings, unlike Memory
. Perhaps in the future, strings too will be backed by Memory
. Their interaction with the GC is simpler (as there is no interaction) While some low-level methods using MemView
will just forward to calling external libraries where using a pointer is fine, many will be written in pure Julia. There, it's less nice to have raw pointers. Code using pointer-based memviews must make sure to only have the views exist inside GC.@preserve
blocks, which is annoying and will almost certainly be violated accidentally somewhere We can't use advantages of the existing Memory
infrasrtructure, e.g. having a GenericMemRef
which supports atomic memory.
Theme
Automatic (OS) documenter-light documenter-dark
This document was generated with Documenter.jl version 1.4.1 on Saturday 22 June 2024 . Using Julia version 1.12.0-DEV.766.
diff --git a/previews/PR2/index.html b/previews/PR2/index.html
new file mode 100644
index 0000000..2d9f70f
--- /dev/null
+++ b/previews/PR2/index.html
@@ -0,0 +1,35 @@
+
+MemViews · MemViews.jl This package provide the MemView
type, which is a lightweight and simple view into Memory
. The MemView
type is a useful low-level building block for code that operates on chunks of memory.
Simple and easy to reason about Low-overhead, efficient methods A safer alternative to pointers The MemView
type has the following layout:
struct MemView{T, M} <: AbstractVector{T}
+ ref::MemoryRef{T},
+ len::Int
+end
The M
parameter is a Symbol
and must be :immutable
or :mutable
. MemViews also provide the following aliases for convenience:
const MutableMemView{T} = MemView{T, :mutable}
+const ImmutableMemView{T} = MemView{T, :immutable}
Immutable memory views are immutable, in that they do not support setindex!
or other mutating methods. The existence of an ImmutableMemView
does not protect its underlying data from being mutated through another variable.
Construct memory views from x
with MemView(x)
. MemViews should be constructable from any type that is stored as an array densely in memory. It can also be conctructed from other non-array types that are represented by a chunk of memory (like a String
). By default, constructors exists for the memory-backed types in Base:
# Vectors
+@assert MemView(["a", "b", "c"]) isa MemView
+
+# Strings
+@assert MemView("abc") isa MemView
+
+# Even complex nested memory-backed types
+@assert MemView(view(codeunits(view("abcd", Base.OneTo(2))), :)) isa MemView
For values x
that are mutable such as Memory
s and Array
s (and SubArray
s of those), MemView(x)
return MutableMemView
:
@assert MemView(Int32[1,2,3]) isa MutableMemView{Int32}
+@assert MemView(Memory{String}(undef, 3)) isa MutableMemView{String}
For values that are immutable, MemView
return ImmutableMemView
s:
@assert MemView("abc") isa ImmutableMemView{UInt8}
The constructor ImmutableMemView(x)
will construct an immutable view no matter if the type returned by MemView(x)
is mutable or not. This is because it's always possible to convert a mutable memory view to an immutable one:
@assert MemView(UInt[]) isa MutableMemView{UInt}
+@assert ImmutableMemView(UInt[]) isa ImmutableMemView{UInt}
Hence, when adding new constructors for new types, you should only add methods to MemView
. This should return a mutable memview where possible.
MemView{T}
is a subtype of AbstractVector{T}
, and mostly behave like you would expect an abstract vector to behave w.r.t. indexing:
mem = MemView([1,2,3,4,5,6,7,8])
+
+println(mem[2])
+println(mem[2:4])
+println(mem[end])
+println(mem[:])
+
+# output
+2
+[2, 3, 4]
+8
+[1, 2, 3, 4, 5, 6, 7, 8]
One exception is slicing, which does not copy the underlying data, but simply returns a new view of the same data. To copy explicitly, use copy
, which will create a new MemView
that looks into a copy of the underlying data:
mem1 = MemView([1,2,3])
+mem2 = mem1[1:3]
+mem3 = copy(mem1)
+mem1[1] = 3
+println(mem2[1])
+println(mem3[1])
+
+# output
+3
+1
Theme
Automatic (OS) documenter-light documenter-dark
This document was generated with Documenter.jl version 1.4.1 on Saturday 22 June 2024 . Using Julia version 1.12.0-DEV.766.
diff --git a/previews/PR2/interfaces/index.html b/previews/PR2/interfaces/index.html
new file mode 100644
index 0000000..5ff3536
--- /dev/null
+++ b/previews/PR2/interfaces/index.html
@@ -0,0 +1,32 @@
+
+MemViews in interfaces · MemViews.jl The intended purpose of the MemView type is to ease manipulation of memory-backed objects through a kind of low-level abstraction. Strings, substrings, Memory
, dense views of Matrix
and countless other types all have the same data representation, namely as simply a chunk of memory. This means they share important properties: Searching for a one-byte Char
inside a String
needs to ccall the exact same memchr
as searching for Int8
in a subarray of Memory
. Likewise, checking that two substrings are equal can use the same implementation as code checking that two bytearrays are equal. Obviously, writing the same implementation for each of these types is wasteful.
Unfortunately, Julia's system of abstract types are poorly equipped to handle this. This is because abstract types represent shared behaviour , whereas in this case, what unites these many different types are the underlying representation - exactly the thing that abstract types want to paper over!
MemViews.jl addresses this by introducing two types: At the bottom of abstraction, the simple MemView
type is most basic, unified instantiation of the underlying representation (a chunk of memory). At the top, the MemKind
trait controls dispatch such that the low-level MemView
implementation is called for the right types. The idea is that whenever you write a method that operates on "just" a chunk of memory, you implement it for MemView
. Then, you write methods with MemKind
to make sure all the proper function calls gets dispatched to your MemView
implementation.
Even if you only ever intend a method to work for, say, Vector
, it can still be a good idea to implement it for MemView
. First, it makes it explicit that you only use Vector
for its properties as a chunk of memory, and not for, say, its ability to be resized. Second, you can implement the method for ImmutableMemView
, letting both caller and callee know that the argument is not being mutated. Third, after implementing your method for MemView
, it may be easy to also make your method work for Memory
and other memory-backed types!
MemKind
answers the question: Can instances of a type be treated as equal to its own memory view? For a type T
, MemKind(T)
returns one of two types:
NotMemory()
if T
s are not equivalent to its own memory. Examples include Int
, which has no memory representation because they are not heap allocated, and String
, which are backed by memory, but which are semantically different from an AbstractVector
containing its bytes.IsMemory{M}()
where M
is a concrete subtype of MemView
, if instances of T
are equivalent to their own memory. Examples include Array
s and Codeunits{String}
. For these objects, it's the case that x == MemView(x)
.julia> MemKind(Vector{Union{Int32, UInt32}})
+IsMemory{MutableMemView{Union{Int32, UInt32}}}()
+
+julia> MemKind(Matrix{String})
+IsMemory{MutableMemView{String}}()
+
+julia> MemKind(SubString{String})
+NotMemory()
When implementing a method that has a fast-past for memory-like types, you typically want to
At the top level, dispatch on MemKind
of your argument to funnel the memory-like objects into your optimised MemView
function At the low level, use MemView
for the implementation of the optimised version An example could be:
# Dispatch on `MemKind`
+my_hash(x) = my_hash(MemKind(typeof(x)), x)
+
+# For objects that are bytes, call the function taking only the memory
+# representation of `x`
+my_hash(::IsMemory{<:MemView{UInt8}}, x) = my_hash(ImmutableMemView(x))
+
+# IsMemory with eltype other than UInt8 can't use the fast low-level function
+my_hash(T::IsMemory, x) = my_hash(NotMemory(), x)
+
+function my_hash(::NotMemory, x)
+ # fallback implementation
+end
+
+function my_hash(mem::ImmutableMemView{UInt8})
+ # some optimised low-level memory manipulation with `mem` of bytes
+end
+
+# Handle e.g. strings separately, since they are not semantically equal to
+# an array of elements in memory, but for this method in particular,
+# we want to treat strings as if they are.
+function my_hash(x::Union{String, SubString{String}})
+ my_hash(MemView(x))
+end
Theme
Automatic (OS) documenter-light documenter-dark
This document was generated with Documenter.jl version 1.4.1 on Saturday 22 June 2024 . Using Julia version 1.12.0-DEV.766.
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+var documenterSearchIndex = {"docs":
+[{"location":"base/#MemViews.jl","page":"MemViews in Base","title":"MemViews.jl","text":"","category":"section"},{"location":"base/","page":"MemViews in Base","title":"MemViews in Base","text":"It is my hope that MemViews, or something like MemViews, will eventually be moved into Base Julia. This is because Base Julia, too, includes code that uses the concept of a memory-backed array. However, Base currently lacks any kind of interface and internal API to handle memory-backed objects.","category":"page"},{"location":"base/","page":"MemViews in Base","title":"MemViews in Base","text":"See the related issue on JuliaLang/julia.","category":"page"},{"location":"base/#What's-wrong-with-SubArrays-of-Memory-as-memory-views?","page":"MemViews in Base","title":"What's wrong with SubArrays of Memory as memory views?","text":"","category":"section"},{"location":"base/","page":"MemViews in Base","title":"MemViews in Base","text":"SubArray is generic over too much, and is therefore too hard to reason about, and to uphold its guarantees.","category":"page"},{"location":"base/","page":"MemViews in Base","title":"MemViews in Base","text":"First, it's generic over the array type, meaning it may be backed by Memory or Vector, but also UnitRange or Base.LogRange (bitstypes, so not backed by memory), BitMatrix (memory-backed, but elements are stored packed), OffsetArrays, CodeUnits (memory-backed but immutable) and many more. What can you do with the underlying array, generally speaking? Take a pointer to it? No. Assume one-based indexing? No. Assume a stride of one? No. Assume mutability? No.","category":"page"},{"location":"base/","page":"MemViews in Base","title":"MemViews in Base","text":"Second, it's generic over the index type. It may be UnitRange{Int}, of course, but also Base.OneTo{UInt16}, or StepRange{BigInteger}, CartesianIndices (which it itself generic over the indexes), Colon. Can you define the subset of these types which indicate dense indices? I can't.","category":"page"},{"location":"base/","page":"MemViews in Base","title":"MemViews in Base","text":"Third, it's multidimensional. It may collect to a Vector or Matrix.","category":"page"},{"location":"base/","page":"MemViews in Base","title":"MemViews in Base","text":"This is not a design flaw of SubArray - it's a perfectly fine design choice, which enables SubArray to be extremely flexible and broadly useful. Unfortunately, it also makes it nearly impossible to write robust, low-level code using SubArray, because it's almost imopssible not to violate the assumptions of a subset of SubArrays many concrete types. Practically speaking, what happens is that methods taking SubArray fall back to only assuming what can be assumed about AbstractArray - which may be inefficient, and buggy (as the recurring bugs due to assumption of one-based indexing has taught us).","category":"page"},{"location":"base/","page":"MemViews in Base","title":"MemViews in Base","text":"In contrast, a MemView{T} is always represented by exactly a MemoryRef{T} and an Int as length. You know exactly what you get.","category":"page"},{"location":"base/#Design-decisions","page":"MemViews in Base","title":"Design decisions","text":"","category":"section"},{"location":"base/#Mutability","page":"MemViews in Base","title":"Mutability","text":"","category":"section"},{"location":"base/","page":"MemViews in Base","title":"MemViews in Base","text":"Mutable and immutable memory views are statically distinguished, such that users can write methods that only take mutable memory views. This will statically prevent users from accidentally mutating e.g. strings.","category":"page"},{"location":"base/#MemKind","page":"MemViews in Base","title":"MemKind","text":"","category":"section"},{"location":"base/","page":"MemViews in Base","title":"MemViews in Base","text":"The MemKind trait is used because constructing a MemView only for dispatch purposes may not be able to be optimised away by the compiler for some types (currently, strings).","category":"page"},{"location":"base/","page":"MemViews in Base","title":"MemViews in Base","text":"MemKind could be replaced with a function that returned nothing, or the correct MemView type directly, but it's nicer to dispatch on ::MemKind than on ::Union{Nothing, Type{<:MemView}}.","category":"page"},{"location":"base/#Limitations","page":"MemViews in Base","title":"Limitations","text":"","category":"section"},{"location":"base/","page":"MemViews in Base","title":"MemViews in Base","text":"Currently, MemView does not make use of Core.GenericMemory's additional parameters, such as atomicity or address space. This may easily be added with a GenericMemView type, similar to Memory / GenericMemory.\nI can't figure out how to support reinterpreted arrays. Any way I can think of doing so will sigificantly complicate MemView, which takes away some of the appeal of this type's simplicity. It's possible that reinterpreted arrays are so outside Julia's ordinary memory management that this simply can't be done.\nCurrently, Strings are not backed by Memory in Julia. Therefore, creating a MemView of a string requires heap-allocating a new Memory pointing to the existing memory of the string. This can be fixed if String is re-implemented to be backed by Memory, but I don't know enough details about the implementation of String to know if this is practical.","category":"page"},{"location":"base/#Alternative-proposal","page":"MemViews in Base","title":"Alternative proposal","text":"","category":"section"},{"location":"base/","page":"MemViews in Base","title":"MemViews in Base","text":"In examples/alternative.jl, there is an implementation where a MemView is just a pointer and a length. This makes it nearly identical to Random.UnsafeView, however, compared to UnsafeView, this propsal has:","category":"page"},{"location":"base/","page":"MemViews in Base","title":"MemViews in Base","text":"The MemKind trait, useful to control dispatch to functions that can treat arrays as being memory\nThe distinction between mutable and immutable memory views","category":"page"},{"location":"base/","page":"MemViews in Base","title":"MemViews in Base","text":"Overall, I like the alternative proposal less. Raw pointers are bad for safety and ergonomics, and they interact less nicely with the Julia runtime. Also, the existing GenericMemoryRef is essentially perfect for this purpose.","category":"page"},{"location":"base/#Advantages","page":"MemViews in Base","title":"Advantages","text":"","category":"section"},{"location":"base/","page":"MemViews in Base","title":"MemViews in Base","text":"Pointer-based memviews are cheaper to construct, and do not allocate for strings, unlike Memory. Perhaps in the future, strings too will be backed by Memory.\nTheir interaction with the GC is simpler (as there is no interaction)","category":"page"},{"location":"base/#Disadvantages","page":"MemViews in Base","title":"Disadvantages","text":"","category":"section"},{"location":"base/","page":"MemViews in Base","title":"MemViews in Base","text":"While some low-level methods using MemView will just forward to calling external libraries where using a pointer is fine, many will be written in pure Julia. There, it's less nice to have raw pointers.\nCode using pointer-based memviews must make sure to only have the views exist inside GC.@preserve blocks, which is annoying and will almost certainly be violated accidentally somewhere\nWe can't use advantages of the existing Memory infrasrtructure, e.g. having a GenericMemRef which supports atomic memory.","category":"page"},{"location":"interfaces/","page":"MemViews in interfaces","title":"MemViews in interfaces","text":"CurrentModule = MemViews\nDocTestSetup = quote\n using MemViews\nend","category":"page"},{"location":"interfaces/#MemViews-in-interfaces","page":"MemViews in interfaces","title":"MemViews in interfaces","text":"","category":"section"},{"location":"interfaces/","page":"MemViews in interfaces","title":"MemViews in interfaces","text":"The intended purpose of the MemView type is to ease manipulation of memory-backed objects through a kind of low-level abstraction. Strings, substrings, Memory, dense views of Matrix and countless other types all have the same data representation, namely as simply a chunk of memory. This means they share important properties: Searching for a one-byte Char inside a String needs to ccall the exact same memchr as searching for Int8 in a subarray of Memory. Likewise, checking that two substrings are equal can use the same implementation as code checking that two bytearrays are equal. Obviously, writing the same implementation for each of these types is wasteful.","category":"page"},{"location":"interfaces/","page":"MemViews in interfaces","title":"MemViews in interfaces","text":"Unfortunately, Julia's system of abstract types are poorly equipped to handle this. This is because abstract types represent shared behaviour, whereas in this case, what unites these many different types are the underlying representation - exactly the thing that abstract types want to paper over!","category":"page"},{"location":"interfaces/","page":"MemViews in interfaces","title":"MemViews in interfaces","text":"MemViews.jl addresses this by introducing two types: At the bottom of abstraction, the simple MemView type is most basic, unified instantiation of the underlying representation (a chunk of memory). At the top, the MemKind trait controls dispatch such that the low-level MemView implementation is called for the right types. The idea is that whenever you write a method that operates on \"just\" a chunk of memory, you implement it for MemView. Then, you write methods with MemKind to make sure all the proper function calls gets dispatched to your MemView implementation.","category":"page"},{"location":"interfaces/","page":"MemViews in interfaces","title":"MemViews in interfaces","text":"tip: Tip\nEven if you only ever intend a method to work for, say, Vector, it can still be a good idea to implement it for MemView. First, it makes it explicit that you only use Vector for its properties as a chunk of memory, and not for, say, its ability to be resized. Second, you can implement the method for ImmutableMemView, letting both caller and callee know that the argument is not being mutated. Third, after implementing your method for MemView, it may be easy to also make your method work for Memory and other memory-backed types!","category":"page"},{"location":"interfaces/#The-MemKind-trait","page":"MemViews in interfaces","title":"The MemKind trait","text":"","category":"section"},{"location":"interfaces/","page":"MemViews in interfaces","title":"MemViews in interfaces","text":"MemKind answers the question: Can instances of a type be treated as equal to its own memory view? For a type T, MemKind(T) returns one of two types:","category":"page"},{"location":"interfaces/","page":"MemViews in interfaces","title":"MemViews in interfaces","text":"NotMemory() if Ts are not equivalent to its own memory. Examples include Int, which has no memory representation because they are not heap allocated, and String, which are backed by memory, but which are semantically different from an AbstractVector containing its bytes.\nIsMemory{M}() where M is a concrete subtype of MemView, if instances of T are equivalent to their own memory. Examples include Arrays and Codeunits{String}. For these objects, it's the case that x == MemView(x).","category":"page"},{"location":"interfaces/","page":"MemViews in interfaces","title":"MemViews in interfaces","text":"julia> MemKind(Vector{Union{Int32, UInt32}})\nIsMemory{MutableMemView{Union{Int32, UInt32}}}()\n\njulia> MemKind(Matrix{String})\nIsMemory{MutableMemView{String}}()\n\njulia> MemKind(SubString{String})\nNotMemory()","category":"page"},{"location":"interfaces/#Implementing-MemView-interfaces","page":"MemViews in interfaces","title":"Implementing MemView interfaces","text":"","category":"section"},{"location":"interfaces/","page":"MemViews in interfaces","title":"MemViews in interfaces","text":"When implementing a method that has a fast-past for memory-like types, you typically want to","category":"page"},{"location":"interfaces/","page":"MemViews in interfaces","title":"MemViews in interfaces","text":"At the top level, dispatch on MemKind of your argument to funnel the memory-like objects into your optimised MemView function\nAt the low level, use MemView for the implementation of the optimised version","category":"page"},{"location":"interfaces/","page":"MemViews in interfaces","title":"MemViews in interfaces","text":"An example could be:","category":"page"},{"location":"interfaces/","page":"MemViews in interfaces","title":"MemViews in interfaces","text":"# Dispatch on `MemKind`\nmy_hash(x) = my_hash(MemKind(typeof(x)), x)\n\n# For objects that are bytes, call the function taking only the memory\n# representation of `x`\nmy_hash(::IsMemory{<:MemView{UInt8}}, x) = my_hash(ImmutableMemView(x))\n\n# IsMemory with eltype other than UInt8 can't use the fast low-level function\nmy_hash(T::IsMemory, x) = my_hash(NotMemory(), x)\n\nfunction my_hash(::NotMemory, x)\n # fallback implementation\nend\n\nfunction my_hash(mem::ImmutableMemView{UInt8})\n # some optimised low-level memory manipulation with `mem` of bytes\nend\n\n# Handle e.g. strings separately, since they are not semantically equal to\n# an array of elements in memory, but for this method in particular,\n# we want to treat strings as if they are.\nfunction my_hash(x::Union{String, SubString{String}})\n my_hash(MemView(x))\nend","category":"page"},{"location":"","page":"MemViews","title":"MemViews","text":"CurrentModule = MemViews\nDocTestSetup = quote\n using MemViews\nend","category":"page"},{"location":"#MemViews.jl","page":"MemViews","title":"MemViews.jl","text":"","category":"section"},{"location":"","page":"MemViews","title":"MemViews","text":"This package provide the MemView type, which is a lightweight and simple view into Memory. The MemView type is a useful low-level building block for code that operates on chunks of memory.","category":"page"},{"location":"#Features:","page":"MemViews","title":"Features:","text":"","category":"section"},{"location":"","page":"MemViews","title":"MemViews","text":"Simple and easy to reason about\nLow-overhead, efficient methods\nA safer alternative to pointers","category":"page"},{"location":"","page":"MemViews","title":"MemViews","text":"The MemView type has the following layout:","category":"page"},{"location":"","page":"MemViews","title":"MemViews","text":"struct MemView{T, M} <: AbstractVector{T}\n ref::MemoryRef{T},\n len::Int\nend","category":"page"},{"location":"","page":"MemViews","title":"MemViews","text":"The M parameter is a Symbol and must be :immutable or :mutable. MemViews also provide the following aliases for convenience:","category":"page"},{"location":"","page":"MemViews","title":"MemViews","text":"const MutableMemView{T} = MemView{T, :mutable}\nconst ImmutableMemView{T} = MemView{T, :immutable}","category":"page"},{"location":"","page":"MemViews","title":"MemViews","text":"Immutable memory views are immutable, in that they do not support setindex! or other mutating methods. The existence of an ImmutableMemView does not protect its underlying data from being mutated through another variable.","category":"page"},{"location":"#Usage","page":"MemViews","title":"Usage","text":"","category":"section"},{"location":"#Constructing-memory-views","page":"MemViews","title":"Constructing memory views","text":"","category":"section"},{"location":"","page":"MemViews","title":"MemViews","text":"Construct memory views from x with MemView(x). MemViews should be constructable from any type that is stored as an array densely in memory. It can also be conctructed from other non-array types that are represented by a chunk of memory (like a String). By default, constructors exists for the memory-backed types in Base:","category":"page"},{"location":"","page":"MemViews","title":"MemViews","text":"# Vectors\n@assert MemView([\"a\", \"b\", \"c\"]) isa MemView\n\n# Strings\n@assert MemView(\"abc\") isa MemView\n\n# Even complex nested memory-backed types\n@assert MemView(view(codeunits(view(\"abcd\", Base.OneTo(2))), :)) isa MemView","category":"page"},{"location":"","page":"MemViews","title":"MemViews","text":"For values x that are mutable such as Memorys and Arrays (and SubArrays of those), MemView(x) return MutableMemView:","category":"page"},{"location":"","page":"MemViews","title":"MemViews","text":"@assert MemView(Int32[1,2,3]) isa MutableMemView{Int32}\n@assert MemView(Memory{String}(undef, 3)) isa MutableMemView{String}","category":"page"},{"location":"","page":"MemViews","title":"MemViews","text":"For values that are immutable, MemView return ImmutableMemViews:","category":"page"},{"location":"","page":"MemViews","title":"MemViews","text":"@assert MemView(\"abc\") isa ImmutableMemView{UInt8}","category":"page"},{"location":"","page":"MemViews","title":"MemViews","text":"The constructor ImmutableMemView(x) will construct an immutable view no matter if the type returned by MemView(x) is mutable or not. This is because it's always possible to convert a mutable memory view to an immutable one:","category":"page"},{"location":"","page":"MemViews","title":"MemViews","text":"@assert MemView(UInt[]) isa MutableMemView{UInt}\n@assert ImmutableMemView(UInt[]) isa ImmutableMemView{UInt}","category":"page"},{"location":"","page":"MemViews","title":"MemViews","text":"Hence, when adding new constructors for new types, you should only add methods to MemView. This should return a mutable memview where possible.","category":"page"},{"location":"#Indexing","page":"MemViews","title":"Indexing","text":"","category":"section"},{"location":"","page":"MemViews","title":"MemViews","text":"MemView{T} is a subtype of AbstractVector{T}, and mostly behave like you would expect an abstract vector to behave w.r.t. indexing:","category":"page"},{"location":"","page":"MemViews","title":"MemViews","text":"mem = MemView([1,2,3,4,5,6,7,8])\n\nprintln(mem[2])\nprintln(mem[2:4])\nprintln(mem[end])\nprintln(mem[:])\n\n# output\n2\n[2, 3, 4]\n8\n[1, 2, 3, 4, 5, 6, 7, 8]","category":"page"},{"location":"","page":"MemViews","title":"MemViews","text":"One exception is slicing, which does not copy the underlying data, but simply returns a new view of the same data. To copy explicitly, use copy, which will create a new MemView that looks into a copy of the underlying data:","category":"page"},{"location":"","page":"MemViews","title":"MemViews","text":"mem1 = MemView([1,2,3])\nmem2 = mem1[1:3]\nmem3 = copy(mem1)\nmem1[1] = 3\nprintln(mem2[1])\nprintln(mem3[1])\n\n# output\n3\n1","category":"page"}]
+}
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+var DOCUMENTER_CURRENT_VERSION = "previews/PR2";