From 06c9afeb0296451ebd83cc93b3299e88ffa6c18d Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Thu, 6 Jun 2024 17:32:18 +0000 Subject: [PATCH] build based on aac2ae0 --- stable | 2 +- v0.11 | 2 +- v0.11.1/.documenter-siteinfo.json | 1 + v0.11.1/assets/documenter.js | 1050 +++++++++++++++++ v0.11.1/assets/html/JuliaInterface/chap0.html | 173 +++ .../assets/html/JuliaInterface/chap0_mj.html | 176 +++ v0.11.1/assets/html/JuliaInterface/chap1.html | 125 ++ .../assets/html/JuliaInterface/chap1_mj.html | 128 ++ v0.11.1/assets/html/JuliaInterface/chap2.html | 499 ++++++++ .../assets/html/JuliaInterface/chap2_mj.html | 502 ++++++++ v0.11.1/assets/html/JuliaInterface/chap3.html | 461 ++++++++ .../assets/html/JuliaInterface/chap3_mj.html | 464 ++++++++ .../assets/html/JuliaInterface/chapInd.html | 58 + .../html/JuliaInterface/chapInd_mj.html | 61 + .../assets/html/JuliaInterface/chooser.html | 132 +++ .../assets/html/JuliaInterface/lefttoc.css | 17 + v0.11.1/assets/html/JuliaInterface/manual.css | 482 ++++++++ v0.11.1/assets/html/JuliaInterface/manual.js | 113 ++ .../html/JuliaInterface/nocolorprompt.css | 13 + v0.11.1/assets/html/JuliaInterface/ragged.css | 6 + v0.11.1/assets/html/JuliaInterface/rainbow.js | 60 + v0.11.1/assets/html/JuliaInterface/times.css | 6 + .../assets/html/JuliaInterface/toggless.css | 42 + .../assets/html/JuliaInterface/toggless.js | 65 + v0.11.1/assets/themes/documenter-dark.css | 7 + v0.11.1/assets/themes/documenter-light.css | 9 + v0.11.1/assets/themeswap.js | 84 ++ v0.11.1/assets/warner.js | 52 + v0.11.1/basics/index.html | 113 ++ v0.11.1/conversion/index.html | 240 ++++ v0.11.1/examples/index.html | 148 +++ v0.11.1/index.html | 2 + v0.11.1/internal/index.html | 7 + v0.11.1/manualindex/index.html | 2 + v0.11.1/objects.inv | Bin 0 -> 1151 bytes v0.11.1/other/index.html | 350 ++++++ v0.11.1/packages/index.html | 9 + v0.11.1/search_index.js | 3 + v0.11.1/siteinfo.js | 1 + versions.js | 2 +- 40 files changed, 5664 insertions(+), 3 deletions(-) create mode 100644 v0.11.1/.documenter-siteinfo.json create mode 100644 v0.11.1/assets/documenter.js create mode 100644 v0.11.1/assets/html/JuliaInterface/chap0.html create mode 100644 v0.11.1/assets/html/JuliaInterface/chap0_mj.html create mode 100644 v0.11.1/assets/html/JuliaInterface/chap1.html create mode 100644 v0.11.1/assets/html/JuliaInterface/chap1_mj.html create mode 100644 v0.11.1/assets/html/JuliaInterface/chap2.html create mode 100644 v0.11.1/assets/html/JuliaInterface/chap2_mj.html create mode 100644 v0.11.1/assets/html/JuliaInterface/chap3.html create mode 100644 v0.11.1/assets/html/JuliaInterface/chap3_mj.html create mode 100644 v0.11.1/assets/html/JuliaInterface/chapInd.html create mode 100644 v0.11.1/assets/html/JuliaInterface/chapInd_mj.html create mode 100644 v0.11.1/assets/html/JuliaInterface/chooser.html create mode 100644 v0.11.1/assets/html/JuliaInterface/lefttoc.css create mode 100644 v0.11.1/assets/html/JuliaInterface/manual.css create mode 100644 v0.11.1/assets/html/JuliaInterface/manual.js create mode 100644 v0.11.1/assets/html/JuliaInterface/nocolorprompt.css create mode 100644 v0.11.1/assets/html/JuliaInterface/ragged.css create mode 100644 v0.11.1/assets/html/JuliaInterface/rainbow.js create mode 100644 v0.11.1/assets/html/JuliaInterface/times.css create mode 100644 v0.11.1/assets/html/JuliaInterface/toggless.css create mode 100644 v0.11.1/assets/html/JuliaInterface/toggless.js create mode 100644 v0.11.1/assets/themes/documenter-dark.css create mode 100644 v0.11.1/assets/themes/documenter-light.css create mode 100644 v0.11.1/assets/themeswap.js create mode 100644 v0.11.1/assets/warner.js create mode 100644 v0.11.1/basics/index.html create mode 100644 v0.11.1/conversion/index.html create mode 100644 v0.11.1/examples/index.html create mode 100644 v0.11.1/index.html create mode 100644 v0.11.1/internal/index.html create mode 100644 v0.11.1/manualindex/index.html create mode 100644 v0.11.1/objects.inv create mode 100644 v0.11.1/other/index.html create mode 100644 v0.11.1/packages/index.html create mode 100644 v0.11.1/search_index.js create mode 100644 v0.11.1/siteinfo.js diff --git a/stable b/stable index e88c34ff0..a5de145cc 120000 --- a/stable +++ b/stable @@ -1 +1 @@ -v0.11.0 \ No newline at end of file +v0.11.1 \ No newline at end of file diff --git a/v0.11 b/v0.11 index e88c34ff0..a5de145cc 120000 --- a/v0.11 +++ b/v0.11 @@ -1 +1 @@ -v0.11.0 \ No newline at end of file +v0.11.1 \ No newline at end of file diff --git a/v0.11.1/.documenter-siteinfo.json b/v0.11.1/.documenter-siteinfo.json new file mode 100644 index 000000000..29a6b491a --- /dev/null +++ b/v0.11.1/.documenter-siteinfo.json @@ -0,0 +1 @@ +{"documenter":{"julia_version":"1.10.4","generation_timestamp":"2024-06-06T17:32:14","documenter_version":"1.4.1"}} \ No newline at end of file diff --git a/v0.11.1/assets/documenter.js b/v0.11.1/assets/documenter.js new file mode 100644 index 000000000..c6562b558 --- /dev/null +++ b/v0.11.1/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( + ` + + ` + ); + + 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 = $( + "" + ); + 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 = $( + "" + ); + 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/v0.11.1/assets/html/JuliaInterface/chap0.html b/v0.11.1/assets/html/JuliaInterface/chap0.html new file mode 100644 index 000000000..43b811a39 --- /dev/null +++ b/v0.11.1/assets/html/JuliaInterface/chap0.html @@ -0,0 +1,173 @@ + + + + + + +GAP (JuliaInterface) - Contents + + + + + + + + + +
Goto Chapter: Top 1 2 3 Ind
+ +
 [Top of Book]  [Contents]   [Next Chapter] 
+ + +

+
+ +

JuliaInterface

+ + +

Interface to Julia

+ +

+ 0.11.1

+ +

+ 6 June 2024 +

+ +
+

+ Thomas Breuer + + + + + +
Email: sam@math.rwth-aachen.de +
Homepage: https://www.math.rwth-aachen.de/~Thomas.Breuer +
Address:
Thomas Breuer
Lehrstuhl für Algebra und Zahlentheorie
RWTH Aachen
Pontdriesch 14/16
52062 Aachen
Germany
+

+ Sebastian Gutsche + + + + + +
Email: gutsche@mathematik.uni-siegen.de +
Homepage: https://sebasguts.github.io +
Address:
Department Mathematik
Universität Siegen
Walter-Flex-Straße 3
57072 Siegen
Germany
+

+ Max Horn + + + + + +
Email: mhorn@rptu.de +
Homepage: https://www.quendi.de/math +
Address:
Fachbereich Mathematik
RPTU Kaiserslautern-Landau
Gottlieb-Daimler-Straße 48
67663 Kaiserslautern
Germany
+

+ +

+

Abstract

+

The GAP package JuliaInterface is part of a bidirectional interface between GAP and Julia.

+ +

+

Acknowledgements

+

The development of this GAP package has been supported by the SFB-TRR 195 Symbolic Tools in Mathematics and their Applications (from 2017 until 2021).

+ +

+ +
+

Contents

+ +
1 Introduction to JuliaInterface +
 1.1 Aims of the JuliaInterface package + +
+
 1.2 Installation of the JuliaInterface package + +
+
 1.3 User preferences in the JuliaInterface package + +
+
  1.3-1 User preference IncludeJuliaStartupFile + +
+
+
2 Using Julia from GAP +
 2.1 Filters for JuliaInterface + +
+
  2.1-1 IsJuliaObject +
  2.1-2 IsJuliaWrapper +
  2.1-3 JuliaPointer +
  2.1-4 IsJuliaModule +
+
 2.2 Creating Julia objects + +
+
  2.2-1 JuliaEvalString +
  2.2-2 JuliaIncludeFile +
  2.2-3 JuliaImportPackage +
+
 2.3 Access to Julia objects + +
+
  2.3-1 JuliaFunction +
  2.3-2 Julia +
  2.3-3 JuliaModule +
  2.3-4 JuliaTypeInfo +
  2.3-5 CallJuliaFunctionWithCatch +
  2.3-6 CallJuliaFunctionWithKeywordArguments +
+
 2.4 Calling Julia functions + +
+
  2.4-1 Convenience methods for Julia objects + +
+
 2.5 Access Julia help from a GAP session + +
+
+
3 Conversions between GAP and Julia +
 3.1 Conversion rules + +
+
  3.1-1 Guiding principles + +
  3.1-2 Automatic (implicit) conversions + +
  3.1-3 Manual (explicit) conversions + +
+
 3.2 Conversion functions + +
+
  3.2-1 Julia.GAP.Obj +
  3.2-2 JuliaToGAP +
  3.2-3 GAPToJulia +
+
 3.3 Using Julia random number generators in GAP + +
+
  3.3-1 IsRandomSourceJulia +
+
 3.4 Open items + +
+
+
Index
+
+
+ +
 [Top of Book]  [Contents]   [Next Chapter] 
+ + +
Goto Chapter: Top 1 2 3 Ind
+ +
+

generated by GAPDoc2HTML

+ + diff --git a/v0.11.1/assets/html/JuliaInterface/chap0_mj.html b/v0.11.1/assets/html/JuliaInterface/chap0_mj.html new file mode 100644 index 000000000..e17dee95e --- /dev/null +++ b/v0.11.1/assets/html/JuliaInterface/chap0_mj.html @@ -0,0 +1,176 @@ + + + + + + + +GAP (JuliaInterface) - Contents + + + + + + + + + +
Goto Chapter: Top 1 2 3 Ind
+ +
 [Top of Book]  [Contents]   [Next Chapter] 
+ + +

+
+ +

JuliaInterface

+ + +

Interface to Julia

+ +

+ 0.11.1

+ +

+ 6 June 2024 +

+ +
+

+ Thomas Breuer + + + + + +
Email: sam@math.rwth-aachen.de +
Homepage: https://www.math.rwth-aachen.de/~Thomas.Breuer +
Address:
Thomas Breuer
Lehrstuhl für Algebra und Zahlentheorie
RWTH Aachen
Pontdriesch 14/16
52062 Aachen
Germany
+

+ Sebastian Gutsche + + + + + +
Email: gutsche@mathematik.uni-siegen.de +
Homepage: https://sebasguts.github.io +
Address:
Department Mathematik
Universität Siegen
Walter-Flex-Straße 3
57072 Siegen
Germany
+

+ Max Horn + + + + + +
Email: mhorn@rptu.de +
Homepage: https://www.quendi.de/math +
Address:
Fachbereich Mathematik
RPTU Kaiserslautern-Landau
Gottlieb-Daimler-Straße 48
67663 Kaiserslautern
Germany
+

+ +

+

Abstract

+

The GAP package JuliaInterface is part of a bidirectional interface between GAP and Julia.

+ +

+

Acknowledgements

+

The development of this GAP package has been supported by the SFB-TRR 195 Symbolic Tools in Mathematics and their Applications (from 2017 until 2021).

+ +

+ +
+

Contents

+ +
1 Introduction to JuliaInterface +
 1.1 Aims of the JuliaInterface package + +
+
 1.2 Installation of the JuliaInterface package + +
+
 1.3 User preferences in the JuliaInterface package + +
+
  1.3-1 User preference IncludeJuliaStartupFile + +
+
+
2 Using Julia from GAP +
 2.1 Filters for JuliaInterface + +
+
  2.1-1 IsJuliaObject +
  2.1-2 IsJuliaWrapper +
  2.1-3 JuliaPointer +
  2.1-4 IsJuliaModule +
+
 2.2 Creating Julia objects + +
+
  2.2-1 JuliaEvalString +
  2.2-2 JuliaIncludeFile +
  2.2-3 JuliaImportPackage +
+
 2.3 Access to Julia objects + +
+
  2.3-1 JuliaFunction +
  2.3-2 Julia +
  2.3-3 JuliaModule +
  2.3-4 JuliaTypeInfo +
  2.3-5 CallJuliaFunctionWithCatch +
  2.3-6 CallJuliaFunctionWithKeywordArguments +
+
 2.4 Calling Julia functions + +
+
  2.4-1 Convenience methods for Julia objects + +
+
 2.5 Access Julia help from a GAP session + +
+
+
3 Conversions between GAP and Julia +
 3.1 Conversion rules + +
+
  3.1-1 Guiding principles + +
  3.1-2 Automatic (implicit) conversions + +
  3.1-3 Manual (explicit) conversions + +
+
 3.2 Conversion functions + +
+
  3.2-1 Julia.GAP.Obj +
  3.2-2 JuliaToGAP +
  3.2-3 GAPToJulia +
+
 3.3 Using Julia random number generators in GAP + +
+
  3.3-1 IsRandomSourceJulia +
+
 3.4 Open items + +
+
+
Index
+
+
+ +
 [Top of Book]  [Contents]   [Next Chapter] 
+ + +
Goto Chapter: Top 1 2 3 Ind
+ +
+

generated by GAPDoc2HTML

+ + diff --git a/v0.11.1/assets/html/JuliaInterface/chap1.html b/v0.11.1/assets/html/JuliaInterface/chap1.html new file mode 100644 index 000000000..bde46a02b --- /dev/null +++ b/v0.11.1/assets/html/JuliaInterface/chap1.html @@ -0,0 +1,125 @@ + + + + + + +GAP (JuliaInterface) - Chapter 1: Introduction to JuliaInterface + + + + + + + + + +
Goto Chapter: Top 1 2 3 Ind
+ +
 [Top of Book]  [Contents]   [Previous Chapter]   [Next Chapter] 
+ + +

+
1 Introduction to JuliaInterface +
 1.1 Aims of the JuliaInterface package + +
+
 1.2 Installation of the JuliaInterface package + +
+
 1.3 User preferences in the JuliaInterface package + +
+
  1.3-1 User preference IncludeJuliaStartupFile + +
+
+ +

1 Introduction to JuliaInterface

+ +

The GAP package JuliaInterface is part of a bidirectional interface between GAP and Julia.

+ +

+ +

1.1 Aims of the JuliaInterface package

+ +

The low level interface between GAP and Julia allows one to access GAP objects and to call GAP functions in a Julia session, to access Julia objects and to call Julia functions in a GAP session, and to convert low level data such as integers, booleans, strings, arrays/lists, dictionaries/records between the two systems.

+ +

In particular, this interface is not intended to provide a very Julia-ish interface to GAP objects and functions, nor a GAP-ish interface to Julia objects and functions.

+ +

Also, the interface does not provide conversions to GAP for Julia objects whose types are defined in Julia packages (that is, not in the core Julia). For example, the Julia package Oscar.jl provides several data types that correspond to objects in GAP. Their conversions between Julia and GAP are handled in Oscar.jl, see its src/GAP subdirectory, JuliaInterface does not deal with these issues.

+ +

The interface consists of

+ + + +

The JuliaInterface manual takes the viewpoint of a GAP session from where one wants to use Julia functionality. The opposite direction, using GAP functionality in a Julia session, is described in the documentation of the Julia package GAP.jl.

+ +

+ +

1.2 Installation of the JuliaInterface package

+ +

The package can be used only when the underlying GAP has been compiled with the Julia garbage collector, and the recommended way to install such a GAP is to install Julia first (see https://julialang.org/downloads/) and then to ask Julia's package manager to download and install GAP, by entering

+ + +
using Pkg; Pkg.add( "GAP" )
+ +

at the Julia prompt.

+ +

One way to start a GAP session from the Julia session is to enter

+ + +
using GAP; GAP.prompt()
+ +

at the Julia prompt, afterwards the package JuliaInterface is already installed and loaded.

+ +

Alternatively, one can start GAP in the traditional way, by executing a shell script. Such a script can be created in a location of your choice via the following Julia command, where dstdir is a directory path in which a gap.sh script plus some auxiliary files will be placed:

+ + +
using GAP; GAP.create_gap_sh(dstdir)
+ +

Note that the JuliaInterface code belongs to the Julia package GAP.jl, hence it can be found there.

+ +

+ +

1.3 User preferences in the JuliaInterface package

+ +

+ +
1.3-1 User preference IncludeJuliaStartupFile
+ +

When one starts an interactive Julia session, the Julia startup file ~/.julia/config/startup.jl gets included automatically by default, see the section The Julia REPL in the Julia documentation. Hence the effects of this inclusion can be used in a GAP session which one gets via the following input.

+ + +
using GAP; GAP.prompt()
+ +

However, this Julia startup file is not included into Julia by default when GAP gets started via the gap.sh script that is created during the installation of GAP (controlled by Julia).

+ +

The user preference IncludeJuliaStartupFile can be used to force that the startup file gets included also in the latter situation, as follows.

+ +

If the value is true then the file ~/.julia/config/startup.jl gets included into Julia after startup. If the value is a nonempty string that is the name of a directory then the startup.jl file in this directory gets included into Julia. Otherwise (this is the default) no startup.jl file will be included automatically.

+ + +
 [Top of Book]  [Contents]   [Previous Chapter]   [Next Chapter] 
+ + +
Goto Chapter: Top 1 2 3 Ind
+ +
+

generated by GAPDoc2HTML

+ + diff --git a/v0.11.1/assets/html/JuliaInterface/chap1_mj.html b/v0.11.1/assets/html/JuliaInterface/chap1_mj.html new file mode 100644 index 000000000..fbc2559ec --- /dev/null +++ b/v0.11.1/assets/html/JuliaInterface/chap1_mj.html @@ -0,0 +1,128 @@ + + + + + + + +GAP (JuliaInterface) - Chapter 1: Introduction to JuliaInterface + + + + + + + + + +
Goto Chapter: Top 1 2 3 Ind
+ +
 [Top of Book]  [Contents]   [Previous Chapter]   [Next Chapter] 
+ + +

+
1 Introduction to JuliaInterface +
 1.1 Aims of the JuliaInterface package + +
+
 1.2 Installation of the JuliaInterface package + +
+
 1.3 User preferences in the JuliaInterface package + +
+
  1.3-1 User preference IncludeJuliaStartupFile + +
+
+ +

1 Introduction to JuliaInterface

+ +

The GAP package JuliaInterface is part of a bidirectional interface between GAP and Julia.

+ +

+ +

1.1 Aims of the JuliaInterface package

+ +

The low level interface between GAP and Julia allows one to access GAP objects and to call GAP functions in a Julia session, to access Julia objects and to call Julia functions in a GAP session, and to convert low level data such as integers, booleans, strings, arrays/lists, dictionaries/records between the two systems.

+ +

In particular, this interface is not intended to provide a very Julia-ish interface to GAP objects and functions, nor a GAP-ish interface to Julia objects and functions.

+ +

Also, the interface does not provide conversions to GAP for Julia objects whose types are defined in Julia packages (that is, not in the core Julia). For example, the Julia package Oscar.jl provides several data types that correspond to objects in GAP. Their conversions between Julia and GAP are handled in Oscar.jl, see its src/GAP subdirectory, JuliaInterface does not deal with these issues.

+ +

The interface consists of

+ + + +

The JuliaInterface manual takes the viewpoint of a GAP session from where one wants to use Julia functionality. The opposite direction, using GAP functionality in a Julia session, is described in the documentation of the Julia package GAP.jl.

+ +

+ +

1.2 Installation of the JuliaInterface package

+ +

The package can be used only when the underlying GAP has been compiled with the Julia garbage collector, and the recommended way to install such a GAP is to install Julia first (see https://julialang.org/downloads/) and then to ask Julia's package manager to download and install GAP, by entering

+ + +
using Pkg; Pkg.add( "GAP" )
+ +

at the Julia prompt.

+ +

One way to start a GAP session from the Julia session is to enter

+ + +
using GAP; GAP.prompt()
+ +

at the Julia prompt, afterwards the package JuliaInterface is already installed and loaded.

+ +

Alternatively, one can start GAP in the traditional way, by executing a shell script. Such a script can be created in a location of your choice via the following Julia command, where dstdir is a directory path in which a gap.sh script plus some auxiliary files will be placed:

+ + +
using GAP; GAP.create_gap_sh(dstdir)
+ +

Note that the JuliaInterface code belongs to the Julia package GAP.jl, hence it can be found there.

+ +

+ +

1.3 User preferences in the JuliaInterface package

+ +

+ +
1.3-1 User preference IncludeJuliaStartupFile
+ +

When one starts an interactive Julia session, the Julia startup file ~/.julia/config/startup.jl gets included automatically by default, see the section The Julia REPL in the Julia documentation. Hence the effects of this inclusion can be used in a GAP session which one gets via the following input.

+ + +
using GAP; GAP.prompt()
+ +

However, this Julia startup file is not included into Julia by default when GAP gets started via the gap.sh script that is created during the installation of GAP (controlled by Julia).

+ +

The user preference IncludeJuliaStartupFile can be used to force that the startup file gets included also in the latter situation, as follows.

+ +

If the value is true then the file ~/.julia/config/startup.jl gets included into Julia after startup. If the value is a nonempty string that is the name of a directory then the startup.jl file in this directory gets included into Julia. Otherwise (this is the default) no startup.jl file will be included automatically.

+ + +
 [Top of Book]  [Contents]   [Previous Chapter]   [Next Chapter] 
+ + +
Goto Chapter: Top 1 2 3 Ind
+ +
+

generated by GAPDoc2HTML

+ + diff --git a/v0.11.1/assets/html/JuliaInterface/chap2.html b/v0.11.1/assets/html/JuliaInterface/chap2.html new file mode 100644 index 000000000..a6c9fbc9a --- /dev/null +++ b/v0.11.1/assets/html/JuliaInterface/chap2.html @@ -0,0 +1,499 @@ + + + + + + +GAP (JuliaInterface) - Chapter 2: Using Julia from GAP + + + + + + + + + +
Goto Chapter: Top 1 2 3 Ind
+ +
 [Top of Book]  [Contents]   [Previous Chapter]   [Next Chapter] 
+ + +

+
2 Using Julia from GAP +
 2.1 Filters for JuliaInterface + +
+
  2.1-1 IsJuliaObject +
  2.1-2 IsJuliaWrapper +
  2.1-3 JuliaPointer +
  2.1-4 IsJuliaModule +
+
 2.2 Creating Julia objects + +
+
  2.2-1 JuliaEvalString +
  2.2-2 JuliaIncludeFile +
  2.2-3 JuliaImportPackage +
+
 2.3 Access to Julia objects + +
+
  2.3-1 JuliaFunction +
  2.3-2 Julia +
  2.3-3 JuliaModule +
  2.3-4 JuliaTypeInfo +
  2.3-5 CallJuliaFunctionWithCatch +
  2.3-6 CallJuliaFunctionWithKeywordArguments +
+
 2.4 Calling Julia functions + +
+
  2.4-1 Convenience methods for Julia objects + +
+
 2.5 Access Julia help from a GAP session + +
+
+ +

2 Using Julia from GAP

+ +

+ +

2.1 Filters for JuliaInterface

+ +

+ +
2.1-1 IsJuliaObject
+ +
‣ IsJuliaObject( obj )( filter )
+

Returns: true or false

+ +

The result is true if and only if obj is a pointer to a Julia object.

+ +

The results of JuliaModule (2.3-3) are always in IsJuliaObject.

+ + +
+gap> julia_fun:= JuliaEvalString( "sqrt" );
+<Julia: sqrt>
+gap> IsJuliaObject( julia_fun );
+true
+gap> julia_val:= julia_fun( 2 );
+<Julia: 1.4142135623730951>
+gap> IsJuliaObject( julia_val );
+true
+gap> julia_x:= JuliaEvalString( "x = 4" );
+4
+gap> IsJuliaObject( julia_x );
+false
+gap> IsJuliaObject( JuliaModule( "Main" ) );
+true
+
+ +

+ +
2.1-2 IsJuliaWrapper
+ +
‣ IsJuliaWrapper( obj )( filter )
+

Returns: true or false

+ +

If the component or positional object obj is in this filter then calling a Julia function with obj as an argument will not pass obj as an GapObj, but instead its JuliaPointer (2.1-3) value is passed, which must be a Julia object. This admits implementing high-level wrapper objects for Julia objects that behave just like the Julia objects when used as arguments in calls to Julia functions.

+ +

Objects in IsJuliaWrapper should not be in the filter IsJuliaObject (2.1-1).

+ +

Examples of objects in IsJuliaWrapper are the return values of JuliaModule (2.3-3).

+ +

+ +
2.1-3 JuliaPointer
+ +
‣ JuliaPointer( obj )( attribute )
+

is an attribute for GAP objects in the filter IsJuliaWrapper (2.1-2). The value must be a Julia object.

+ + +
+gap> Julia;
+<Julia module Main>
+gap> IsJuliaObject( Julia );
+false
+gap> IsJuliaWrapper( Julia );
+true
+gap> ptr:= JuliaPointer( Julia );
+<Julia: Main>
+gap> IsJuliaObject( ptr );
+true
+
+ +

+ +
2.1-4 IsJuliaModule
+ +
‣ IsJuliaModule( obj )( filter )
+

Returns: true or false

+ +

This filter is set in those GAP objects that represent Julia modules. Members of a Julia module can be accessed like record components.

+ + +
+gap> IsJuliaModule( Julia );
+true
+gap> Julia.GAP;
+<Julia module GAP>
+gap> IsJuliaModule( Julia.GAP );
+true
+gap> Julia.GAP.julia_to_gap;
+<Julia: julia_to_gap>
+gap> JuliaFunction( "julia_to_gap", "GAP" );  # the same function
+<Julia: julia_to_gap>
+
+ +

+ +

2.2 Creating Julia objects

+ +

+ +
2.2-1 JuliaEvalString
+ +
‣ JuliaEvalString( string )( function )
+

evaluates the string string in the current Julia session, in the Main module, and returns Julia's return value.

+ + +
+gap> JuliaEvalString( "x = 2^2" );  # assignment to a variable in Julia
+4
+gap> JuliaEvalString( "x" );        # access to this variable
+4
+
+ +

+ +
2.2-2 JuliaIncludeFile
+ +
‣ JuliaIncludeFile( filename[, module_name] )( function )
+

Returns: nothing.

+ +

calls Julia's Base.include with the strings filename (an absolute filename, as returned by Filename (Reference: Filename)) and module_name (the name of a Julia module, the default is "Main"). This means that the Julia code in the file with name filename gets executed in the current Julia session, in the context of the Julia module module_name.

+ +

+ +
2.2-3 JuliaImportPackage
+ +
‣ JuliaImportPackage( pkgname )( function )
+

Returns: true or false.

+ +

This function triggers the execution of an import statement for the Julia package with name pkgname. It returns true if the call was successful, and false otherwise.

+ +

Note that we just want to load the package into Julia, we do not want to import variable names from the package into Julia's Main module, because the Julia variables must be referenced relative to their modules if we want to be sure to access the correct values.

+ +

Why is this function needed?

+ +

Apparently libjulia throws an error when trying to compile the package, which happens when some files from the package have been modified since compilation.

+ +

Thus GAP has to check whether the Julia package has been loaded successfully, and can then safely load and execute code that relies on this Julia package. In particular, we cannot just put the necessary import statements into the relevant .jl files, and then load these files with JuliaIncludeFile (2.2-2).

+ +

+ +

2.3 Access to Julia objects

+ +

+ +
2.3-1 JuliaFunction
+ +
‣ JuliaFunction( function_name[, module_name] )( function )
+

Returns: a function

+ +

Returns a GAP function that wraps the Julia function with identifier function_name from the module module_name. Both arguments must be strings. If module_name is not given, the function is taken from Julia's Main module.

+ + +
+gap> fun:= JuliaFunction( "sqrt" );
+<Julia: sqrt>
+gap> Print( fun );
+function ( arg... )
+    <<kernel code>> from Julia:sqrt
+end
+gap> IsFunction( fun );
+true
+gap> IsJuliaObject( fun );
+false
+
+ +

Alternatively, one can access Julia functions also via the global object Julia (2.3-2), as follows.

+ + +
+gap> Julia.sqrt;
+<Julia: sqrt>
+
+ +

Note that each call to JuliaFunction and each component access to Julia (2.3-2) create a new GAP object.

+ + +
+gap> IsIdenticalObj( JuliaFunction( "sqrt" ), JuliaFunction( "sqrt" ) );
+false
+gap> IsIdenticalObj( Julia.sqrt, Julia.sqrt );
+false
+
+ +

+ +
2.3-2 Julia
+ +
‣ Julia( global variable )
+

This global variable represents the Julia module Main, see IsJuliaModule (2.1-4).

+ +

The variables from the underlying Julia session can be accessed via Julia, as follows.

+ + +
+gap> Julia.sqrt;  # a Julia function
+<Julia: sqrt>
+gap> JuliaEvalString( "x = 1" );  # an assignment in the Julia session
+1
+gap> Julia.x;  # access to the value that was just assigned
+1
+gap> Julia.Main.x;
+1
+
+ +

+ +
2.3-3 JuliaModule
+ +
‣ JuliaModule( name )( function )
+

Returns: a Julia object

+ +

Returns the Julia object that points to the Julia module with name name.

+ + +
+gap> gapmodule:= JuliaModule( "GAP" );
+<Julia: GAP>
+gap> gapmodule = JuliaPointer( Julia.GAP );
+true
+
+ +

+ +
2.3-4 JuliaTypeInfo
+ +
‣ JuliaTypeInfo( juliaobj )( function )
+

Returns: a string.

+ +

Returns the string that describes the Julia type of the object juliaobj.

+ + +
+gap> JuliaTypeInfo( Julia.GAP );
+"Module"
+gap> JuliaTypeInfo( JuliaPointer( Julia.GAP ) );
+"Module"
+gap> JuliaTypeInfo( JuliaEvalString( "sqrt(2)" ) );
+"Float64"
+gap> JuliaTypeInfo( 1 );
+"Int64"
+
+ +

+ +
2.3-5 CallJuliaFunctionWithCatch
+ +
‣ CallJuliaFunctionWithCatch( juliafunc, arguments )( function )
+

Returns: a record.

+ +

The function calls the Julia function juliafunc with arguments in the GAP list arguments, and returns a record with the components ok and value. If no error occurred then ok has the value true, and value is the value returned by juliafunc. If an error occurred then ok has the value false, and value is the error message as a GAP string.

+ + +
+gap> fun:= Julia.sqrt;;
+gap> CallJuliaFunctionWithCatch( fun, [ 2 ] );
+rec( ok := true, value := <Julia: 1.4142135623730951> )
+gap> res:= CallJuliaFunctionWithCatch( fun, [ -1 ] );;
+gap> res.ok;
+false
+gap> res.value{ [ 1 .. Position( res.value, '(' )-1 ] };
+"DomainError"
+gap> inv:= Julia.inv;;
+gap> m:= GAPToJulia( JuliaEvalString( "Matrix{Int}" ), [[1,2],[2,4]] );
+<Julia: [1 2; 2 4]>
+gap> res:= CallJuliaFunctionWithCatch( inv, [ m ] );;
+gap> res.ok;
+false
+gap> res.value{ [ 1 .. Position( res.value, '(' )-1 ] };
+"LinearAlgebra.SingularException"
+
+ +

+ +
2.3-6 CallJuliaFunctionWithKeywordArguments
+ +
‣ CallJuliaFunctionWithKeywordArguments( juliafunc, arguments, arec )( function )
+

Returns: the result of the Julia function call.

+ +

The function calls the Julia function juliafunc with ordinary arguments in the GAP list arguments and keyword arguments given by the component names (keys) and values of the record arec, and returns the function value.

+ +

Note that the entries of arguments and the components of arec are not implicitly converted to Julia.

+ + +
+gap> CallJuliaFunctionWithKeywordArguments( Julia.Base.round,
+>        [ GAPToJulia( Float( 1/3 ) ) ], rec( digits:= 5 ) );
+<Julia: 0.33333>
+gap> CallJuliaFunctionWithKeywordArguments(
+>        Julia.Base.range, [ 2 ], rec( length:= 5, step:= 2 ) );
+<Julia: 2:2:10>
+gap> m:= GAPToJulia( JuliaEvalString( "Matrix{Int}" ),
+>            [ [ 1, 2 ], [ 3, 4 ] ] );
+<Julia: [1 2; 3 4]>
+gap> CallJuliaFunctionWithKeywordArguments(
+>        Julia.Base.reverse, [ m ], rec( dims:= 1 ) );
+<Julia: [3 4; 1 2]>
+gap> CallJuliaFunctionWithKeywordArguments(
+>        Julia.Base.reverse, [ m ], rec( dims:= 2 ) );
+<Julia: [2 1; 4 3]>
+gap> tuptyp:= JuliaEvalString( "Tuple{Int,Int}" );;
+gap> t1:= GAPToJulia( tuptyp, [ 2, 1 ] );
+<Julia: (2, 1)>
+gap> t2:= GAPToJulia( tuptyp, [ 1, 3 ] );
+<Julia: (1, 3)>
+gap> CallJuliaFunctionWithKeywordArguments(
+>        Julia.Base.( "repeat" ), [ m ],
+>        rec( inner:= t1, outer:= t2 ) );
+<Julia: [1 2 1 2 1 2; 1 2 1 2 1 2; 3 4 3 4 3 4; 3 4 3 4 3 4]>
+
+ +

+ +

2.4 Calling Julia functions

+ +

The simplest way to execute Julia code from GAP is to call JuliaEvalString (2.2-1) with a string that contains the Julia code in question.

+ + +
+gap> JuliaEvalString( "sqrt( 2 )" );
+<Julia: 1.4142135623730951>
+
+ +

However, it is usually more suitable to create GAP variables whose values are Julia objects, and to call Julia functions directly. The GAP function call syntax is used for that.

+ + +
+gap> jsqrt:= JuliaEvalString( "sqrt" );
+<Julia: sqrt>
+gap> jsqrt( 2 );
+<Julia: 1.4142135623730951>
+
+ +

In fact, there are slightly different kinds of function calls. A Julia function such as Julia.sqrt (or equivalently JuliaFunction( "sqrt" )) is represented by a GAP function object, and calls to it are executed on the C level, using Julia's jl_call.

+ + +
+gap> fun:= Julia.sqrt;
+<Julia: sqrt>
+gap> IsJuliaObject( fun );
+false
+gap> IsFunction( fun );
+true
+gap> fun( 2 );
+<Julia: 1.4142135623730951>
+
+ +

Note that in Julia any object (not just functions) is potentially callable (in fact this is the same as in GAP), for example Julia types can be

+ + +
+gap> smalltype:= Julia.Int32;
+<Julia: Int32>
+gap> IsJuliaObject( smalltype );
+true
+gap> IsFunction( smalltype );
+false
+gap> val:= smalltype( 1 );
+<Julia: 1>
+gap> JuliaTypeInfo( val );
+"Int32"
+gap> JuliaTypeInfo( 1 );
+"Int64"
+
+ +

+ +
2.4-1 Convenience methods for Julia objects
+ +

For the following operations, methods are installed that require arguments in IsJuliaObject (2.1-1) and delegate to the corresponding Julia functions.

+ + + + +
+gap> m:= GAPToJulia( JuliaEvalString( "Matrix{Int}" ),
+>            [ [ 1, 2 ], [ 3, 4 ] ] );
+<Julia: [1 2; 3 4]>
+gap> m[1,2];
+2
+gap> - m;
+<Julia: [-1 -2; -3 -4]>
+gap> m + m;
+<Julia: [2 4; 6 8]>
+
+ +

+ +

2.5 Access Julia help from a GAP session

+ +

In a Julia session, one can ask for help about the object with the name obj (a function or a type) by entering ?obj, and Julia prints all matches to the screen. One can get the same output in a GAP session by entering ?Julia:obj, cf. Section Reference: Invoking the Help in the GAP Reference Manual. For example, ?Julia:sqrt shows the Julia help about the Julia function sqrt (which is available in GAP as Julia.sqrt).

+ +

Note that this way to access the Julia help is different from the usual access to GAP help books, in the following sense.

+ + + + +
 [Top of Book]  [Contents]   [Previous Chapter]   [Next Chapter] 
+ + +
Goto Chapter: Top 1 2 3 Ind
+ +
+

generated by GAPDoc2HTML

+ + diff --git a/v0.11.1/assets/html/JuliaInterface/chap2_mj.html b/v0.11.1/assets/html/JuliaInterface/chap2_mj.html new file mode 100644 index 000000000..39cd7a721 --- /dev/null +++ b/v0.11.1/assets/html/JuliaInterface/chap2_mj.html @@ -0,0 +1,502 @@ + + + + + + + +GAP (JuliaInterface) - Chapter 2: Using Julia from GAP + + + + + + + + + +
Goto Chapter: Top 1 2 3 Ind
+ +
 [Top of Book]  [Contents]   [Previous Chapter]   [Next Chapter] 
+ + +

+
2 Using Julia from GAP +
 2.1 Filters for JuliaInterface + +
+
  2.1-1 IsJuliaObject +
  2.1-2 IsJuliaWrapper +
  2.1-3 JuliaPointer +
  2.1-4 IsJuliaModule +
+
 2.2 Creating Julia objects + +
+
  2.2-1 JuliaEvalString +
  2.2-2 JuliaIncludeFile +
  2.2-3 JuliaImportPackage +
+
 2.3 Access to Julia objects + +
+
  2.3-1 JuliaFunction +
  2.3-2 Julia +
  2.3-3 JuliaModule +
  2.3-4 JuliaTypeInfo +
  2.3-5 CallJuliaFunctionWithCatch +
  2.3-6 CallJuliaFunctionWithKeywordArguments +
+
 2.4 Calling Julia functions + +
+
  2.4-1 Convenience methods for Julia objects + +
+
 2.5 Access Julia help from a GAP session + +
+
+ +

2 Using Julia from GAP

+ +

+ +

2.1 Filters for JuliaInterface

+ +

+ +
2.1-1 IsJuliaObject
+ +
‣ IsJuliaObject( obj )( filter )
+

Returns: true or false

+ +

The result is true if and only if obj is a pointer to a Julia object.

+ +

The results of JuliaModule (2.3-3) are always in IsJuliaObject.

+ + +
+gap> julia_fun:= JuliaEvalString( "sqrt" );
+<Julia: sqrt>
+gap> IsJuliaObject( julia_fun );
+true
+gap> julia_val:= julia_fun( 2 );
+<Julia: 1.4142135623730951>
+gap> IsJuliaObject( julia_val );
+true
+gap> julia_x:= JuliaEvalString( "x = 4" );
+4
+gap> IsJuliaObject( julia_x );
+false
+gap> IsJuliaObject( JuliaModule( "Main" ) );
+true
+
+ +

+ +
2.1-2 IsJuliaWrapper
+ +
‣ IsJuliaWrapper( obj )( filter )
+

Returns: true or false

+ +

If the component or positional object obj is in this filter then calling a Julia function with obj as an argument will not pass obj as an GapObj, but instead its JuliaPointer (2.1-3) value is passed, which must be a Julia object. This admits implementing high-level wrapper objects for Julia objects that behave just like the Julia objects when used as arguments in calls to Julia functions.

+ +

Objects in IsJuliaWrapper should not be in the filter IsJuliaObject (2.1-1).

+ +

Examples of objects in IsJuliaWrapper are the return values of JuliaModule (2.3-3).

+ +

+ +
2.1-3 JuliaPointer
+ +
‣ JuliaPointer( obj )( attribute )
+

is an attribute for GAP objects in the filter IsJuliaWrapper (2.1-2). The value must be a Julia object.

+ + +
+gap> Julia;
+<Julia module Main>
+gap> IsJuliaObject( Julia );
+false
+gap> IsJuliaWrapper( Julia );
+true
+gap> ptr:= JuliaPointer( Julia );
+<Julia: Main>
+gap> IsJuliaObject( ptr );
+true
+
+ +

+ +
2.1-4 IsJuliaModule
+ +
‣ IsJuliaModule( obj )( filter )
+

Returns: true or false

+ +

This filter is set in those GAP objects that represent Julia modules. Members of a Julia module can be accessed like record components.

+ + +
+gap> IsJuliaModule( Julia );
+true
+gap> Julia.GAP;
+<Julia module GAP>
+gap> IsJuliaModule( Julia.GAP );
+true
+gap> Julia.GAP.julia_to_gap;
+<Julia: julia_to_gap>
+gap> JuliaFunction( "julia_to_gap", "GAP" );  # the same function
+<Julia: julia_to_gap>
+
+ +

+ +

2.2 Creating Julia objects

+ +

+ +
2.2-1 JuliaEvalString
+ +
‣ JuliaEvalString( string )( function )
+

evaluates the string string in the current Julia session, in the Main module, and returns Julia's return value.

+ + +
+gap> JuliaEvalString( "x = 2^2" );  # assignment to a variable in Julia
+4
+gap> JuliaEvalString( "x" );        # access to this variable
+4
+
+ +

+ +
2.2-2 JuliaIncludeFile
+ +
‣ JuliaIncludeFile( filename[, module_name] )( function )
+

Returns: nothing.

+ +

calls Julia's Base.include with the strings filename (an absolute filename, as returned by Filename (Reference: Filename)) and module_name (the name of a Julia module, the default is "Main"). This means that the Julia code in the file with name filename gets executed in the current Julia session, in the context of the Julia module module_name.

+ +

+ +
2.2-3 JuliaImportPackage
+ +
‣ JuliaImportPackage( pkgname )( function )
+

Returns: true or false.

+ +

This function triggers the execution of an import statement for the Julia package with name pkgname. It returns true if the call was successful, and false otherwise.

+ +

Note that we just want to load the package into Julia, we do not want to import variable names from the package into Julia's Main module, because the Julia variables must be referenced relative to their modules if we want to be sure to access the correct values.

+ +

Why is this function needed?

+ +

Apparently libjulia throws an error when trying to compile the package, which happens when some files from the package have been modified since compilation.

+ +

Thus GAP has to check whether the Julia package has been loaded successfully, and can then safely load and execute code that relies on this Julia package. In particular, we cannot just put the necessary import statements into the relevant .jl files, and then load these files with JuliaIncludeFile (2.2-2).

+ +

+ +

2.3 Access to Julia objects

+ +

+ +
2.3-1 JuliaFunction
+ +
‣ JuliaFunction( function_name[, module_name] )( function )
+

Returns: a function

+ +

Returns a GAP function that wraps the Julia function with identifier function_name from the module module_name. Both arguments must be strings. If module_name is not given, the function is taken from Julia's Main module.

+ + +
+gap> fun:= JuliaFunction( "sqrt" );
+<Julia: sqrt>
+gap> Print( fun );
+function ( arg... )
+    <<kernel code>> from Julia:sqrt
+end
+gap> IsFunction( fun );
+true
+gap> IsJuliaObject( fun );
+false
+
+ +

Alternatively, one can access Julia functions also via the global object Julia (2.3-2), as follows.

+ + +
+gap> Julia.sqrt;
+<Julia: sqrt>
+
+ +

Note that each call to JuliaFunction and each component access to Julia (2.3-2) create a new GAP object.

+ + +
+gap> IsIdenticalObj( JuliaFunction( "sqrt" ), JuliaFunction( "sqrt" ) );
+false
+gap> IsIdenticalObj( Julia.sqrt, Julia.sqrt );
+false
+
+ +

+ +
2.3-2 Julia
+ +
‣ Julia( global variable )
+

This global variable represents the Julia module Main, see IsJuliaModule (2.1-4).

+ +

The variables from the underlying Julia session can be accessed via Julia, as follows.

+ + +
+gap> Julia.sqrt;  # a Julia function
+<Julia: sqrt>
+gap> JuliaEvalString( "x = 1" );  # an assignment in the Julia session
+1
+gap> Julia.x;  # access to the value that was just assigned
+1
+gap> Julia.Main.x;
+1
+
+ +

+ +
2.3-3 JuliaModule
+ +
‣ JuliaModule( name )( function )
+

Returns: a Julia object

+ +

Returns the Julia object that points to the Julia module with name name.

+ + +
+gap> gapmodule:= JuliaModule( "GAP" );
+<Julia: GAP>
+gap> gapmodule = JuliaPointer( Julia.GAP );
+true
+
+ +

+ +
2.3-4 JuliaTypeInfo
+ +
‣ JuliaTypeInfo( juliaobj )( function )
+

Returns: a string.

+ +

Returns the string that describes the Julia type of the object juliaobj.

+ + +
+gap> JuliaTypeInfo( Julia.GAP );
+"Module"
+gap> JuliaTypeInfo( JuliaPointer( Julia.GAP ) );
+"Module"
+gap> JuliaTypeInfo( JuliaEvalString( "sqrt(2)" ) );
+"Float64"
+gap> JuliaTypeInfo( 1 );
+"Int64"
+
+ +

+ +
2.3-5 CallJuliaFunctionWithCatch
+ +
‣ CallJuliaFunctionWithCatch( juliafunc, arguments )( function )
+

Returns: a record.

+ +

The function calls the Julia function juliafunc with arguments in the GAP list arguments, and returns a record with the components ok and value. If no error occurred then ok has the value true, and value is the value returned by juliafunc. If an error occurred then ok has the value false, and value is the error message as a GAP string.

+ + +
+gap> fun:= Julia.sqrt;;
+gap> CallJuliaFunctionWithCatch( fun, [ 2 ] );
+rec( ok := true, value := <Julia: 1.4142135623730951> )
+gap> res:= CallJuliaFunctionWithCatch( fun, [ -1 ] );;
+gap> res.ok;
+false
+gap> res.value{ [ 1 .. Position( res.value, '(' )-1 ] };
+"DomainError"
+gap> inv:= Julia.inv;;
+gap> m:= GAPToJulia( JuliaEvalString( "Matrix{Int}" ), [[1,2],[2,4]] );
+<Julia: [1 2; 2 4]>
+gap> res:= CallJuliaFunctionWithCatch( inv, [ m ] );;
+gap> res.ok;
+false
+gap> res.value{ [ 1 .. Position( res.value, '(' )-1 ] };
+"LinearAlgebra.SingularException"
+
+ +

+ +
2.3-6 CallJuliaFunctionWithKeywordArguments
+ +
‣ CallJuliaFunctionWithKeywordArguments( juliafunc, arguments, arec )( function )
+

Returns: the result of the Julia function call.

+ +

The function calls the Julia function juliafunc with ordinary arguments in the GAP list arguments and keyword arguments given by the component names (keys) and values of the record arec, and returns the function value.

+ +

Note that the entries of arguments and the components of arec are not implicitly converted to Julia.

+ + +
+gap> CallJuliaFunctionWithKeywordArguments( Julia.Base.round,
+>        [ GAPToJulia( Float( 1/3 ) ) ], rec( digits:= 5 ) );
+<Julia: 0.33333>
+gap> CallJuliaFunctionWithKeywordArguments(
+>        Julia.Base.range, [ 2 ], rec( length:= 5, step:= 2 ) );
+<Julia: 2:2:10>
+gap> m:= GAPToJulia( JuliaEvalString( "Matrix{Int}" ),
+>            [ [ 1, 2 ], [ 3, 4 ] ] );
+<Julia: [1 2; 3 4]>
+gap> CallJuliaFunctionWithKeywordArguments(
+>        Julia.Base.reverse, [ m ], rec( dims:= 1 ) );
+<Julia: [3 4; 1 2]>
+gap> CallJuliaFunctionWithKeywordArguments(
+>        Julia.Base.reverse, [ m ], rec( dims:= 2 ) );
+<Julia: [2 1; 4 3]>
+gap> tuptyp:= JuliaEvalString( "Tuple{Int,Int}" );;
+gap> t1:= GAPToJulia( tuptyp, [ 2, 1 ] );
+<Julia: (2, 1)>
+gap> t2:= GAPToJulia( tuptyp, [ 1, 3 ] );
+<Julia: (1, 3)>
+gap> CallJuliaFunctionWithKeywordArguments(
+>        Julia.Base.( "repeat" ), [ m ],
+>        rec( inner:= t1, outer:= t2 ) );
+<Julia: [1 2 1 2 1 2; 1 2 1 2 1 2; 3 4 3 4 3 4; 3 4 3 4 3 4]>
+
+ +

+ +

2.4 Calling Julia functions

+ +

The simplest way to execute Julia code from GAP is to call JuliaEvalString (2.2-1) with a string that contains the Julia code in question.

+ + +
+gap> JuliaEvalString( "sqrt( 2 )" );
+<Julia: 1.4142135623730951>
+
+ +

However, it is usually more suitable to create GAP variables whose values are Julia objects, and to call Julia functions directly. The GAP function call syntax is used for that.

+ + +
+gap> jsqrt:= JuliaEvalString( "sqrt" );
+<Julia: sqrt>
+gap> jsqrt( 2 );
+<Julia: 1.4142135623730951>
+
+ +

In fact, there are slightly different kinds of function calls. A Julia function such as Julia.sqrt (or equivalently JuliaFunction( "sqrt" )) is represented by a GAP function object, and calls to it are executed on the C level, using Julia's jl_call.

+ + +
+gap> fun:= Julia.sqrt;
+<Julia: sqrt>
+gap> IsJuliaObject( fun );
+false
+gap> IsFunction( fun );
+true
+gap> fun( 2 );
+<Julia: 1.4142135623730951>
+
+ +

Note that in Julia any object (not just functions) is potentially callable (in fact this is the same as in GAP), for example Julia types can be

+ + +
+gap> smalltype:= Julia.Int32;
+<Julia: Int32>
+gap> IsJuliaObject( smalltype );
+true
+gap> IsFunction( smalltype );
+false
+gap> val:= smalltype( 1 );
+<Julia: 1>
+gap> JuliaTypeInfo( val );
+"Int32"
+gap> JuliaTypeInfo( 1 );
+"Int64"
+
+ +

+ +
2.4-1 Convenience methods for Julia objects
+ +

For the following operations, methods are installed that require arguments in IsJuliaObject (2.1-1) and delegate to the corresponding Julia functions.

+ + + + +
+gap> m:= GAPToJulia( JuliaEvalString( "Matrix{Int}" ),
+>            [ [ 1, 2 ], [ 3, 4 ] ] );
+<Julia: [1 2; 3 4]>
+gap> m[1,2];
+2
+gap> - m;
+<Julia: [-1 -2; -3 -4]>
+gap> m + m;
+<Julia: [2 4; 6 8]>
+
+ +

+ +

2.5 Access Julia help from a GAP session

+ +

In a Julia session, one can ask for help about the object with the name obj (a function or a type) by entering ?obj, and Julia prints all matches to the screen. One can get the same output in a GAP session by entering ?Julia:obj, cf. Section Reference: Invoking the Help in the GAP Reference Manual. For example, ?Julia:sqrt shows the Julia help about the Julia function sqrt (which is available in GAP as Julia.sqrt).

+ +

Note that this way to access the Julia help is different from the usual access to GAP help books, in the following sense.

+ + + + +
 [Top of Book]  [Contents]   [Previous Chapter]   [Next Chapter] 
+ + +
Goto Chapter: Top 1 2 3 Ind
+ +
+

generated by GAPDoc2HTML

+ + diff --git a/v0.11.1/assets/html/JuliaInterface/chap3.html b/v0.11.1/assets/html/JuliaInterface/chap3.html new file mode 100644 index 000000000..2bc683d27 --- /dev/null +++ b/v0.11.1/assets/html/JuliaInterface/chap3.html @@ -0,0 +1,461 @@ + + + + + + +GAP (JuliaInterface) - Chapter 3: Conversions between GAP and Julia + + + + + + + + + +
Goto Chapter: Top 1 2 3 Ind
+ +
 [Top of Book]  [Contents]   [Previous Chapter]   [Next Chapter] 
+ + +

+
3 Conversions between GAP and Julia +
 3.1 Conversion rules + +
+
  3.1-1 Guiding principles + +
  3.1-2 Automatic (implicit) conversions + +
  3.1-3 Manual (explicit) conversions + +
+
 3.2 Conversion functions + +
+
  3.2-1 Julia.GAP.Obj +
  3.2-2 JuliaToGAP +
  3.2-3 GAPToJulia +
+
 3.3 Using Julia random number generators in GAP + +
+
  3.3-1 IsRandomSourceJulia +
+
 3.4 Open items + +
+
+ +

3 Conversions between GAP and Julia

+ +

+ +

3.1 Conversion rules

+ +

+ +
3.1-1 Guiding principles
+ + +
+
Avoid conversions, use wrapper objects instead.
+

Naively, one may think that in order to use Julia functionality from GAP, one has to convert all data to a format usable by Julia, then call Julia functions on that data, and finally convert it back; rinse and repeat. While this is certainly sometimes so, in many cases, things are a bit different: Some initial (usually very small) data may need to be converted. But afterwards, the output of one Julia function is used as input of the next one, and so on. Converting the data to GAP format and back then is needlessly wasteful. It is much better to not perform any conversion here. Instead, we create special wrapper objects on the GAP side, which wraps a given Julia object without converting it. This operation is thus very cheap, both in terms of performance and in memory usage. Such a wrapped object can then be transparently used as input for Julia functions.

+ +

On the GAP C kernel level, the internal functions used for this are NewJuliaObj, IS_JULIA_OBJ, GET_JULIA_OBJ. On the GAP language level, this is IsJuliaObject (2.1-1). On the Julia side, there is usually no need for a wrapper, as (thanks to the shared garbage collector) most GAP objects are valid Julia objects of type GAP.GapObj. The exception to that rule are immediate GAP objects, more on that in the next section.

+ +
+
Perform automatic conversions only if absolutely necessary, + or if unambiguous and free.
+

Any conversion which the user cannot prevent, and which has some cost or choice involved, may cause several problems. The added overhead may turn an otherwise reasonable computation into an infeasible one (think about a conversion triggered several million times). And the conversion can add extra complications if one wants to detect and undo it.

+ +
+
Provide explicit conversion functions for as many data types + as possible.
+

While users should not be forced into conversions, it nevertheless should be possible to perform sensible conversions. The simpler it is to do so, the easier it is to use the interface.

+ +
+
Conversion round trip fidelity.
+

If an object is converted from Julia to GAP and back to Julia (or conversely, from GAP to Julia and back to GAP), then ideally the result should be equal and of equal type to the original value. At the very least, the automatic conversions should follow this principle. This is not always possible, due to mismatches in existing types, but we strive to get as close as possible.

+ +
+
+

+ +
3.1-2 Automatic (implicit) conversions
+ +

GAP has a notion of immediate objects, whose values are stored inside the pointer referencing them. GAP uses this to store small integers and elements of small finite fields, see for example the beginning of Chapter Reference: Integers in the GAP Reference Manual. Since these are not valid pointers, Julia cannot treat them like other GAP objects, which are simply Julia objects of type GAP.GapObj. Instead, a conversion is unavoidable, at least when immediate objects are passed as stand-alone arguments to a function.

+ +

To this end, the interface converts GAP immediate integers into Julia Int64 objects, and vice versa. However, GAP immediate integers on a 64 bit system can only store 61 bits, so not all Int64objects can be converted into immediate integers; integers exceeding the 61 bits limit are therefore wrapped like any other Julia object. Other Julia integer types, like UInt64, Int32, are also wrapped by default, in order to ensure that conversion round trips do not arbitrary change object types.

+ +

All automatic conversions and wrappings are handled on the C functions julia_gap and gap_julia in JuliaInterface.

+ +

The following conversions are performed by julia_gap (from GAP's Obj to Julia's jl_value_t*).

+ + + +

The following conversions are performed by gap_julia (from Julia's jl_value_t* to GAP's Obj).

+ + + +

+ +
3.1-3 Manual (explicit) conversions
+ +

Manual conversion in GAP is done via the functions GAPToJulia (3.2-3) and JuliaToGAP (3.2-2). In Julia, conversion is done via gap_to_julia and julia_to_gap.

+ +

Conversion from GAP to Julia

+ +

In GAP, the function GAPToJulia (3.2-3) calls (after automatic conversion of the GAP object if applicable) the Julia function gap_to_julia; If a Julia type has been entered as the first argument of GAPToJulia (3.2-3) then this is the type to which the GAP object shall be converted, and if such a conversion is implemented then a Julia object of this type is returned, otherwise an ArgumentError is thrown.

+ + + +

If no Julia type is specified then a Julia type is chosen, based on the filters of the GAP object, see the (default) markers in the above list. Note that this might include checking various filters and will be, in almost all cases, slower than the typed version.

+ +

Conversion from Julia to GAP

+ +

There are two alternatives for this direction, the Julia constructor Julia.GAP.Obj (3.2-1) and the GAP constructor JuliaToGAP (3.2-2).

+ +

Julia.GAP.Obj (3.2-1) is a Julia function that takes one or two arguments, the object to be converted and optionally the value true indicating recursive conversion of nested objects. The chosen method depends on the Julia type of the first argument.

+ +

The function JuliaToGAP (3.2-2). takes two or three arguments, a GAP filter and an object to be converted, and optionally the value true indicating recursive conversion of nested objects. Various methods for this constructor then take care of input validation and the actual conversion, either by delegating to the Julia function julia_to_gap (which takes just one or two arguments and chooses the GAP filters of its result depending on the Julia type), or by automatic conversion.

+ +

The supported Julia types of the second argument of JuliaToGAP (3.2-2) are as follows; more Julia types may be supported for Julia.GAP.Obj (3.2-1).

+ +
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Julia typeGAP filtercomment
Int64, GapObj, GapFFE, and Boolautomatic conversion
other integers, including BigIntIsIntintegers
Rational{T}IsRatrationals
Float16, Float32, Float64IsFloatmachine floats
AbstractStringIsStringstrings
SymbolIsStringstrings
Vector{T}IsListplain lists
Vector{Bool}, BitVectorIsBListbit lists
Tuple{T}IsListplain lists
Dict{String,T}, Dict{Symbol,T}IsRecordrecords
UnitRange{T}, StepRange{T}IsRangeranges

+
+ +

+ +

3.2 Conversion functions

+ +

+ +
3.2-1 Julia.GAP.Obj
+ +
‣ Julia.GAP.Obj( juliaobj[, recursive] )( function )
+
‣ Julia.GAP.GapObj( juliaobj[, recursive] )( function )
+

Returns: a GAP object

+ +

The Julia constructor Julia.GAP.Obj takes an object juliaobj and chooses a method depending on its Julia type for computing a GAP object corresponding to juliaobj. If recursive is true then nested objects are converted recursively.

+ + +
+gap> Julia.GAP.Obj( 42 );
+42
+gap> m:= GAPToJulia( [ [ 1, 2 ], [ 3, 4 ] ] );
+<Julia: Any[Any[1, 2], Any[3, 4]]>
+gap> Julia.GAP.Obj( m );
+[ <Julia: Any[1, 2]>, <Julia: Any[3, 4]> ]
+gap> Julia.GAP.Obj( m, true );
+[ [ 1, 2 ], [ 3, 4 ] ]
+
+ +

One advantage of Julia.GAP.Obj compared to the GAP constructor JuliaToGAP (3.2-2) is that it is easy to extend the scope of Julia.GAP.Obj on the Julia side, whereas extending JuliaToGAP (3.2-2) would require changing its methods. For example, the Oscar system provides Julia types of matrices for which conversions to GAP matrices are installed, via suitable methods for Julia.GAP.Obj.

+ +

If one is sure that the result of the conversion to GAP is not an immediate GAP object then one can call Julia.GAP.GapObj instead of Julia.GAP.Obj.

+ +

+ +
3.2-2 JuliaToGAP
+ +
‣ JuliaToGAP( filt, juliaobj[, recursive] )( constructor )
+

Returns: a GAP object in the filter filt

+ +

Let juliaobj be a Julia object in for which a conversion to GAP is provided, in the sense of Section 3.1, such that the corresponding GAP object is in the filter filt. Then JuliaToGAP returns this GAP object.

+ + +
+gap> s:= GAPToJulia( "abc" );
+<Julia: "abc">
+gap> JuliaToGAP( IsString, s );
+"abc"
+gap> l:= GAPToJulia( [ 1, 2, 4 ] );
+<Julia: Any[1, 2, 4]>
+gap> JuliaToGAP( IsList, l );
+[ 1, 2, 4 ]
+
+ +

For recursive structures (GAP lists and records), only the outermost level is converted except if the optional argument recursive is given and has the value true, in this case all layers are converted recursively.

+ +

Note that this default is different from the default in the other direction (see GAPToJulia (3.2-3)). The idea behind this choice is that from the viewpoint of a GAP session, it is more likely to use plain Julia objects for computations on the Julia side than Julia objects that contain GAP subobjects, whereas shallow conversion of Julia objects to GAP yields something useful on the GAP side.

+ + +
+gap> m:= GAPToJulia( [ [ 1, 2 ], [ 3, 4 ] ] );
+<Julia: Any[Any[1, 2], Any[3, 4]]>
+gap> JuliaToGAP( IsList, m );
+[ <Julia: Any[1, 2]>, <Julia: Any[3, 4]> ]
+gap> JuliaToGAP( IsList, m, true );
+[ [ 1, 2 ], [ 3, 4 ] ]
+
+ +

The following values for filt are supported. IsInt (Reference: IsInt), IsRat (Reference: IsRat), IsFFE (Reference: IsFFE), IsFloat (see Reference: Floats), IsBool (Reference: IsBool), IsChar (Reference: IsChar), IsRecord (Reference: IsRecord), IsString (Reference: IsString), IsRange (Reference: IsRange), IsBlist (Reference: IsBlist), IsList (Reference: IsList). See Section 3.1 for the admissible types of juliaobj in these cases.

+ +

+ +
3.2-3 GAPToJulia
+ +
‣ GAPToJulia( [juliatype, ]gapobj[, recursive] )( function )
+

Returns: a Julia object

+ +

Let gapobj be an object for which a conversion to Julia is provided, in the sense of Section 3.1, such that a corresponding Julia object with type juliatype can be constructed. Then GAPToJulia returns this Julia object.

+ +

If juliatype is not given then a default type is chosen. The function is implemented via the Julia function GAP.gap_to_julia.

+ + +
+gap> GAPToJulia( 1 );
+1
+gap> GAPToJulia( JuliaEvalString( "Rational{Int64}" ), 1 );
+<Julia: 1//1>
+gap> l:= [ 1, 3, 4 ];;
+gap> GAPToJulia( l );
+<Julia: Any[1, 3, 4]>
+gap> GAPToJulia( JuliaEvalString( "Vector{Int}" ), l );
+<Julia: [1, 3, 4]>
+gap> m:= [ [ 1, 2 ], [ 3, 4 ] ];;
+gap> GAPToJulia( m );
+<Julia: Any[Any[1, 2], Any[3, 4]]>
+gap> GAPToJulia( JuliaEvalString( "Matrix{Int}" ), m );
+<Julia: [1 2; 3 4]>
+gap> r:= rec( a:= 1, b:= [ 1, 2, 3 ] );;
+gap> GAPToJulia( r );
+<Julia: Dict{Symbol,Any}(:a => 1,:b => Any[1, 2, 3])>
+
+ +

If gapobj is a list or a record, one may want that its subobjects are also converted to Julia or that they are kept as they are, which can be decided by entering true or false as the value of the optional argument recursive; the default is true, that is, the subobjects of gapobj are converted recursively.

+ +

Note that this default is different from the default in the other direction, see the description of JuliaToGAP (3.2-2).

+ + +
+gap> jl:= GAPToJulia( m, false );
+<Julia: Any[GAP: [ 1, 2 ], GAP: [ 3, 4 ]]>
+gap> jl[1];
+[ 1, 2 ]
+gap> jr:= GAPToJulia( r, false );
+<Julia: Dict{Symbol,Any}(:a => 1,:b => GAP: [ 1, 2, 3 ])>
+gap> Julia.Base.get( jr, JuliaSymbol( "b" ), fail );
+[ 1, 2, 3 ]
+
+ +

+ +

3.3 Using Julia random number generators in GAP

+ +

+ +
3.3-1 IsRandomSourceJulia
+ +
‣ IsRandomSourceJulia( obj )( filter )
+

Returns: true or false

+ +

This filter allows one to use Julia's random number generators in GAP, see Reference: Random Sources for the background. Calling RandomSource (Reference: RandomSource) with only argument IsRandomSourceJulia yields a GAP random source that uses a copy of Julia's default random number generator Julia.Random.default_rng(). Note that different calls with only argument IsRandomSourceJulia yield different random sources.

+ +

Called with IsRandomSourceJulia and a positive integer, RandomSource (Reference: RandomSource) returns a random source that is based on a copy of Julia.Random.default_rng() but got initialized with the given integer as a seed.

+ +

Called with IsRandomSourceJulia and a Julia random number generator, RandomSource (Reference: RandomSource) returns a random source that uses this random number generator. Note that we do not make a copy of the second argument, in order to be able to use the given random number generator both on the GAP side and the Julia side.

+ +

State (Reference: State) for random sources in IsRandomSourceJulia returns a copy of the underlying Julia random number generator.

+ + +
+gap> rs1:= RandomSource( IsRandomSourceJulia );
+<RandomSource in IsRandomSourceJulia>
+gap> rs2:= RandomSource( IsRandomSourceJulia,
+>                        Julia.Random.default_rng() );
+<RandomSource in IsRandomSourceJulia>
+gap> repeat
+>   x:= Random( rs1, [ 1 .. 100 ] );
+>   y:= Random( rs2, [ 1 .. 100 ] );
+> until x <> y;
+gap> Random( rs1, 1, 100 ) in [ 1 .. 100 ];
+true
+gap> from:= 2^70;;  to:= from + 100;;
+gap> x:= Random( rs1, from, to );;
+gap> from <= x and x <= to;
+true
+gap> g:= SymmetricGroup( 10 );;
+gap> Random( rs1, g ) in g;
+true
+gap> State( rs1 ) = JuliaPointer( rs1 );
+true
+
+ +

+ +

3.4 Open items

+ + + + +
 [Top of Book]  [Contents]   [Previous Chapter]   [Next Chapter] 
+ + +
Goto Chapter: Top 1 2 3 Ind
+ +
+

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Goto Chapter: Top 1 2 3 Ind
+ +
 [Top of Book]  [Contents]   [Previous Chapter]   [Next Chapter] 
+ + +

+
3 Conversions between GAP and Julia +
 3.1 Conversion rules + +
+
  3.1-1 Guiding principles + +
  3.1-2 Automatic (implicit) conversions + +
  3.1-3 Manual (explicit) conversions + +
+
 3.2 Conversion functions + +
+
  3.2-1 Julia.GAP.Obj +
  3.2-2 JuliaToGAP +
  3.2-3 GAPToJulia +
+
 3.3 Using Julia random number generators in GAP + +
+
  3.3-1 IsRandomSourceJulia +
+
 3.4 Open items + +
+
+ +

3 Conversions between GAP and Julia

+ +

+ +

3.1 Conversion rules

+ +

+ +
3.1-1 Guiding principles
+ + +
+
Avoid conversions, use wrapper objects instead.
+

Naively, one may think that in order to use Julia functionality from GAP, one has to convert all data to a format usable by Julia, then call Julia functions on that data, and finally convert it back; rinse and repeat. While this is certainly sometimes so, in many cases, things are a bit different: Some initial (usually very small) data may need to be converted. But afterwards, the output of one Julia function is used as input of the next one, and so on. Converting the data to GAP format and back then is needlessly wasteful. It is much better to not perform any conversion here. Instead, we create special wrapper objects on the GAP side, which wraps a given Julia object without converting it. This operation is thus very cheap, both in terms of performance and in memory usage. Such a wrapped object can then be transparently used as input for Julia functions.

+ +

On the GAP C kernel level, the internal functions used for this are NewJuliaObj, IS_JULIA_OBJ, GET_JULIA_OBJ. On the GAP language level, this is IsJuliaObject (2.1-1). On the Julia side, there is usually no need for a wrapper, as (thanks to the shared garbage collector) most GAP objects are valid Julia objects of type GAP.GapObj. The exception to that rule are immediate GAP objects, more on that in the next section.

+ +
+
Perform automatic conversions only if absolutely necessary, + or if unambiguous and free.
+

Any conversion which the user cannot prevent, and which has some cost or choice involved, may cause several problems. The added overhead may turn an otherwise reasonable computation into an infeasible one (think about a conversion triggered several million times). And the conversion can add extra complications if one wants to detect and undo it.

+ +
+
Provide explicit conversion functions for as many data types + as possible.
+

While users should not be forced into conversions, it nevertheless should be possible to perform sensible conversions. The simpler it is to do so, the easier it is to use the interface.

+ +
+
Conversion round trip fidelity.
+

If an object is converted from Julia to GAP and back to Julia (or conversely, from GAP to Julia and back to GAP), then ideally the result should be equal and of equal type to the original value. At the very least, the automatic conversions should follow this principle. This is not always possible, due to mismatches in existing types, but we strive to get as close as possible.

+ +
+
+

+ +
3.1-2 Automatic (implicit) conversions
+ +

GAP has a notion of immediate objects, whose values are stored inside the pointer referencing them. GAP uses this to store small integers and elements of small finite fields, see for example the beginning of Chapter Reference: Integers in the GAP Reference Manual. Since these are not valid pointers, Julia cannot treat them like other GAP objects, which are simply Julia objects of type GAP.GapObj. Instead, a conversion is unavoidable, at least when immediate objects are passed as stand-alone arguments to a function.

+ +

To this end, the interface converts GAP immediate integers into Julia Int64 objects, and vice versa. However, GAP immediate integers on a 64 bit system can only store 61 bits, so not all Int64objects can be converted into immediate integers; integers exceeding the 61 bits limit are therefore wrapped like any other Julia object. Other Julia integer types, like UInt64, Int32, are also wrapped by default, in order to ensure that conversion round trips do not arbitrary change object types.

+ +

All automatic conversions and wrappings are handled on the C functions julia_gap and gap_julia in JuliaInterface.

+ +

The following conversions are performed by julia_gap (from GAP's Obj to Julia's jl_value_t*).

+ + + +

The following conversions are performed by gap_julia (from Julia's jl_value_t* to GAP's Obj).

+ + + +

+ +
3.1-3 Manual (explicit) conversions
+ +

Manual conversion in GAP is done via the functions GAPToJulia (3.2-3) and JuliaToGAP (3.2-2). In Julia, conversion is done via gap_to_julia and julia_to_gap.

+ +

Conversion from GAP to Julia

+ +

In GAP, the function GAPToJulia (3.2-3) calls (after automatic conversion of the GAP object if applicable) the Julia function gap_to_julia; If a Julia type has been entered as the first argument of GAPToJulia (3.2-3) then this is the type to which the GAP object shall be converted, and if such a conversion is implemented then a Julia object of this type is returned, otherwise an ArgumentError is thrown.

+ + + +

If no Julia type is specified then a Julia type is chosen, based on the filters of the GAP object, see the (default) markers in the above list. Note that this might include checking various filters and will be, in almost all cases, slower than the typed version.

+ +

Conversion from Julia to GAP

+ +

There are two alternatives for this direction, the Julia constructor Julia.GAP.Obj (3.2-1) and the GAP constructor JuliaToGAP (3.2-2).

+ +

Julia.GAP.Obj (3.2-1) is a Julia function that takes one or two arguments, the object to be converted and optionally the value true indicating recursive conversion of nested objects. The chosen method depends on the Julia type of the first argument.

+ +

The function JuliaToGAP (3.2-2). takes two or three arguments, a GAP filter and an object to be converted, and optionally the value true indicating recursive conversion of nested objects. Various methods for this constructor then take care of input validation and the actual conversion, either by delegating to the Julia function julia_to_gap (which takes just one or two arguments and chooses the GAP filters of its result depending on the Julia type), or by automatic conversion.

+ +

The supported Julia types of the second argument of JuliaToGAP (3.2-2) are as follows; more Julia types may be supported for Julia.GAP.Obj (3.2-1).

+ +
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Julia typeGAP filtercomment
Int64, GapObj, GapFFE, and Boolautomatic conversion
other integers, including BigIntIsIntintegers
Rational{T}IsRatrationals
Float16, Float32, Float64IsFloatmachine floats
AbstractStringIsStringstrings
SymbolIsStringstrings
Vector{T}IsListplain lists
Vector{Bool}, BitVectorIsBListbit lists
Tuple{T}IsListplain lists
Dict{String,T}, Dict{Symbol,T}IsRecordrecords
UnitRange{T}, StepRange{T}IsRangeranges

+
+ +

+ +

3.2 Conversion functions

+ +

+ +
3.2-1 Julia.GAP.Obj
+ +
‣ Julia.GAP.Obj( juliaobj[, recursive] )( function )
+
‣ Julia.GAP.GapObj( juliaobj[, recursive] )( function )
+

Returns: a GAP object

+ +

The Julia constructor Julia.GAP.Obj takes an object juliaobj and chooses a method depending on its Julia type for computing a GAP object corresponding to juliaobj. If recursive is true then nested objects are converted recursively.

+ + +
+gap> Julia.GAP.Obj( 42 );
+42
+gap> m:= GAPToJulia( [ [ 1, 2 ], [ 3, 4 ] ] );
+<Julia: Any[Any[1, 2], Any[3, 4]]>
+gap> Julia.GAP.Obj( m );
+[ <Julia: Any[1, 2]>, <Julia: Any[3, 4]> ]
+gap> Julia.GAP.Obj( m, true );
+[ [ 1, 2 ], [ 3, 4 ] ]
+
+ +

One advantage of Julia.GAP.Obj compared to the GAP constructor JuliaToGAP (3.2-2) is that it is easy to extend the scope of Julia.GAP.Obj on the Julia side, whereas extending JuliaToGAP (3.2-2) would require changing its methods. For example, the Oscar system provides Julia types of matrices for which conversions to GAP matrices are installed, via suitable methods for Julia.GAP.Obj.

+ +

If one is sure that the result of the conversion to GAP is not an immediate GAP object then one can call Julia.GAP.GapObj instead of Julia.GAP.Obj.

+ +

+ +
3.2-2 JuliaToGAP
+ +
‣ JuliaToGAP( filt, juliaobj[, recursive] )( constructor )
+

Returns: a GAP object in the filter filt

+ +

Let juliaobj be a Julia object in for which a conversion to GAP is provided, in the sense of Section 3.1, such that the corresponding GAP object is in the filter filt. Then JuliaToGAP returns this GAP object.

+ + +
+gap> s:= GAPToJulia( "abc" );
+<Julia: "abc">
+gap> JuliaToGAP( IsString, s );
+"abc"
+gap> l:= GAPToJulia( [ 1, 2, 4 ] );
+<Julia: Any[1, 2, 4]>
+gap> JuliaToGAP( IsList, l );
+[ 1, 2, 4 ]
+
+ +

For recursive structures (GAP lists and records), only the outermost level is converted except if the optional argument recursive is given and has the value true, in this case all layers are converted recursively.

+ +

Note that this default is different from the default in the other direction (see GAPToJulia (3.2-3)). The idea behind this choice is that from the viewpoint of a GAP session, it is more likely to use plain Julia objects for computations on the Julia side than Julia objects that contain GAP subobjects, whereas shallow conversion of Julia objects to GAP yields something useful on the GAP side.

+ + +
+gap> m:= GAPToJulia( [ [ 1, 2 ], [ 3, 4 ] ] );
+<Julia: Any[Any[1, 2], Any[3, 4]]>
+gap> JuliaToGAP( IsList, m );
+[ <Julia: Any[1, 2]>, <Julia: Any[3, 4]> ]
+gap> JuliaToGAP( IsList, m, true );
+[ [ 1, 2 ], [ 3, 4 ] ]
+
+ +

The following values for filt are supported. IsInt (Reference: IsInt), IsRat (Reference: IsRat), IsFFE (Reference: IsFFE), IsFloat (see Reference: Floats), IsBool (Reference: IsBool), IsChar (Reference: IsChar), IsRecord (Reference: IsRecord), IsString (Reference: IsString), IsRange (Reference: IsRange), IsBlist (Reference: IsBlist), IsList (Reference: IsList). See Section 3.1 for the admissible types of juliaobj in these cases.

+ +

+ +
3.2-3 GAPToJulia
+ +
‣ GAPToJulia( [juliatype, ]gapobj[, recursive] )( function )
+

Returns: a Julia object

+ +

Let gapobj be an object for which a conversion to Julia is provided, in the sense of Section 3.1, such that a corresponding Julia object with type juliatype can be constructed. Then GAPToJulia returns this Julia object.

+ +

If juliatype is not given then a default type is chosen. The function is implemented via the Julia function GAP.gap_to_julia.

+ + +
+gap> GAPToJulia( 1 );
+1
+gap> GAPToJulia( JuliaEvalString( "Rational{Int64}" ), 1 );
+<Julia: 1//1>
+gap> l:= [ 1, 3, 4 ];;
+gap> GAPToJulia( l );
+<Julia: Any[1, 3, 4]>
+gap> GAPToJulia( JuliaEvalString( "Vector{Int}" ), l );
+<Julia: [1, 3, 4]>
+gap> m:= [ [ 1, 2 ], [ 3, 4 ] ];;
+gap> GAPToJulia( m );
+<Julia: Any[Any[1, 2], Any[3, 4]]>
+gap> GAPToJulia( JuliaEvalString( "Matrix{Int}" ), m );
+<Julia: [1 2; 3 4]>
+gap> r:= rec( a:= 1, b:= [ 1, 2, 3 ] );;
+gap> GAPToJulia( r );
+<Julia: Dict{Symbol,Any}(:a => 1,:b => Any[1, 2, 3])>
+
+ +

If gapobj is a list or a record, one may want that its subobjects are also converted to Julia or that they are kept as they are, which can be decided by entering true or false as the value of the optional argument recursive; the default is true, that is, the subobjects of gapobj are converted recursively.

+ +

Note that this default is different from the default in the other direction, see the description of JuliaToGAP (3.2-2).

+ + +
+gap> jl:= GAPToJulia( m, false );
+<Julia: Any[GAP: [ 1, 2 ], GAP: [ 3, 4 ]]>
+gap> jl[1];
+[ 1, 2 ]
+gap> jr:= GAPToJulia( r, false );
+<Julia: Dict{Symbol,Any}(:a => 1,:b => GAP: [ 1, 2, 3 ])>
+gap> Julia.Base.get( jr, JuliaSymbol( "b" ), fail );
+[ 1, 2, 3 ]
+
+ +

+ +

3.3 Using Julia random number generators in GAP

+ +

+ +
3.3-1 IsRandomSourceJulia
+ +
‣ IsRandomSourceJulia( obj )( filter )
+

Returns: true or false

+ +

This filter allows one to use Julia's random number generators in GAP, see Reference: Random Sources for the background. Calling RandomSource (Reference: RandomSource) with only argument IsRandomSourceJulia yields a GAP random source that uses a copy of Julia's default random number generator Julia.Random.default_rng(). Note that different calls with only argument IsRandomSourceJulia yield different random sources.

+ +

Called with IsRandomSourceJulia and a positive integer, RandomSource (Reference: RandomSource) returns a random source that is based on a copy of Julia.Random.default_rng() but got initialized with the given integer as a seed.

+ +

Called with IsRandomSourceJulia and a Julia random number generator, RandomSource (Reference: RandomSource) returns a random source that uses this random number generator. Note that we do not make a copy of the second argument, in order to be able to use the given random number generator both on the GAP side and the Julia side.

+ +

State (Reference: State) for random sources in IsRandomSourceJulia returns a copy of the underlying Julia random number generator.

+ + +
+gap> rs1:= RandomSource( IsRandomSourceJulia );
+<RandomSource in IsRandomSourceJulia>
+gap> rs2:= RandomSource( IsRandomSourceJulia,
+>                        Julia.Random.default_rng() );
+<RandomSource in IsRandomSourceJulia>
+gap> repeat
+>   x:= Random( rs1, [ 1 .. 100 ] );
+>   y:= Random( rs2, [ 1 .. 100 ] );
+> until x <> y;
+gap> Random( rs1, 1, 100 ) in [ 1 .. 100 ];
+true
+gap> from:= 2^70;;  to:= from + 100;;
+gap> x:= Random( rs1, from, to );;
+gap> from <= x and x <= to;
+true
+gap> g:= SymmetricGroup( 10 );;
+gap> Random( rs1, g ) in g;
+true
+gap> State( rs1 ) = JuliaPointer( rs1 );
+true
+
+ +

+ +

3.4 Open items

+ + + + +
 [Top of Book]  [Contents]   [Previous Chapter]   [Next Chapter] 
+ + +
Goto Chapter: Top 1 2 3 Ind
+ +
+

generated by GAPDoc2HTML

+ + diff --git a/v0.11.1/assets/html/JuliaInterface/chapInd.html b/v0.11.1/assets/html/JuliaInterface/chapInd.html new file mode 100644 index 000000000..7265c8bd0 --- /dev/null +++ b/v0.11.1/assets/html/JuliaInterface/chapInd.html @@ -0,0 +1,58 @@ + + + + + + +GAP (JuliaInterface) - Index + + + + + + + + + +
Goto Chapter: Top 1 2 3 Ind
+ +
 [Top of Book]  [Contents]   [Previous Chapter] 
+ + +

+ +
+

Index

+ +CallJuliaFunctionWithCatch 2.3-5
+CallJuliaFunctionWithKeywordArguments 2.3-6
+GAPToJulia 3.2-3
+IncludeJuliaStartupFile 1.3-1
+IsJuliaModule, for IsJuliaWrapper and IsRecord 2.1-4
+IsJuliaObject, for IsObject 2.1-1
+IsJuliaWrapper, for IsObject 2.1-2
+IsRandomSourceJulia, for IsRandomSource 3.3-1
+Julia 2.3-2
+Julia.GAP.GapObj 3.2-1
+Julia.GAP.Obj 3.2-1
+JuliaEvalString 2.2-1
+JuliaFunction 2.3-1
+JuliaImportPackage 2.2-3
+JuliaIncludeFile 2.2-2
+JuliaModule 2.3-3
+JuliaPointer, for IsJuliaWrapper 2.1-3
+JuliaToGAP, for IsObject, IsObject 3.2-2
+JuliaTypeInfo 2.3-4
+

+
+ +
 [Top of Book]  [Contents]   [Previous Chapter] 
+ + +
Goto Chapter: Top 1 2 3 Ind
+ +
+

generated by GAPDoc2HTML

+ + diff --git a/v0.11.1/assets/html/JuliaInterface/chapInd_mj.html b/v0.11.1/assets/html/JuliaInterface/chapInd_mj.html new file mode 100644 index 000000000..5348fe54f --- /dev/null +++ b/v0.11.1/assets/html/JuliaInterface/chapInd_mj.html @@ -0,0 +1,61 @@ + + + + + + + +GAP (JuliaInterface) - Index + + + + + + + + + +
Goto Chapter: Top 1 2 3 Ind
+ +
 [Top of Book]  [Contents]   [Previous Chapter] 
+ + +

+ +
+

Index

+ +CallJuliaFunctionWithCatch 2.3-5
+CallJuliaFunctionWithKeywordArguments 2.3-6
+GAPToJulia 3.2-3
+IncludeJuliaStartupFile 1.3-1
+IsJuliaModule, for IsJuliaWrapper and IsRecord 2.1-4
+IsJuliaObject, for IsObject 2.1-1
+IsJuliaWrapper, for IsObject 2.1-2
+IsRandomSourceJulia, for IsRandomSource 3.3-1
+Julia 2.3-2
+Julia.GAP.GapObj 3.2-1
+Julia.GAP.Obj 3.2-1
+JuliaEvalString 2.2-1
+JuliaFunction 2.3-1
+JuliaImportPackage 2.2-3
+JuliaIncludeFile 2.2-2
+JuliaModule 2.3-3
+JuliaPointer, for IsJuliaWrapper 2.1-3
+JuliaToGAP, for IsObject, IsObject 3.2-2
+JuliaTypeInfo 2.3-4
+

+
+ +
 [Top of Book]  [Contents]   [Previous Chapter] 
+ + +
Goto Chapter: Top 1 2 3 Ind
+ +
+

generated by GAPDoc2HTML

+ + diff --git a/v0.11.1/assets/html/JuliaInterface/chooser.html b/v0.11.1/assets/html/JuliaInterface/chooser.html new file mode 100644 index 000000000..db786c969 --- /dev/null +++ b/v0.11.1/assets/html/JuliaInterface/chooser.html @@ -0,0 +1,132 @@ + + + + + + +GAPDoc Style Chooser + + + + + + + + +

Setting preferences for GAPDoc manuals

+ +
+

+ +

+

+Unfold subsections in menus only by mouse clicks: + no (default) +    + yes +

+

+Show GAP examples as in sessions with ColorPrompt(true): + yes +(default)     + no +

+

+Display side of table of contents within chapters: + right (default)     + left +

+

+Main document font: + Helvetica/sans +serif (default)     + Times/serif +

+

+Paragraph formatting: + left-right +justified (default)     + ragged right +

+
+

+Apply settings to last page. +

+ + + + diff --git a/v0.11.1/assets/html/JuliaInterface/lefttoc.css b/v0.11.1/assets/html/JuliaInterface/lefttoc.css new file mode 100644 index 000000000..f8d65f8e5 --- /dev/null +++ b/v0.11.1/assets/html/JuliaInterface/lefttoc.css @@ -0,0 +1,17 @@ +/* leftmenu.css Frank Lübeck */ +/* Change default CSS to show section menu on left side */ + +body { + padding-left: 28%; +} +body.chap0 { + padding-left: 2%; +} +div.ChapSects div.ContSect:hover div.ContSSBlock { + left: 15%; +} +div.ChapSects { + left: 1%; + width: 25%; +} + diff --git a/v0.11.1/assets/html/JuliaInterface/manual.css b/v0.11.1/assets/html/JuliaInterface/manual.css new file mode 100644 index 000000000..a320794f0 --- /dev/null +++ b/v0.11.1/assets/html/JuliaInterface/manual.css @@ -0,0 +1,482 @@ +/* manual.css Frank Lübeck */ +/* This is the default CSS style sheet for GAPDoc HTML manuals. */ + +/* basic settings, fonts, sizes, colors, ... */ +body { + position: relative; + background: #ffffff; + color: #000000; + width: 70%; + margin: 0pt; + padding: 15pt; + font-family: Helvetica,Verdana,Arial,sans-serif; + text-align: justify; +} + +/* no side toc on title page, bib and index */ +body.chap0 { + width: 95%; +} +body.chapBib { + width: 95%; +} +body.chapInd { + width: 95%; +} + + +h1 { font-size: 200%; } +h2 { font-size: 160%; } +h3 { font-size: 160%; } +h4 { font-size: 130%; } +h5 { font-size: 100%; } + +p.foot { + font-size: 60%; + font-style: normal; +} + +a:link { + color: #00008e; + text-decoration: none; +} +a:visited { + color: #00008e; + text-decoration: none; +} +a:active { + color: #000000; + text-decoration: none; +} +a:hover { + background: #eeeeee; +} + +pre { + font-family: "Courier New",Courier,monospace; + font-size: 100%; + color:#111111; +} + +tt,code { + font-family: "Courier New",Courier,monospace; + font-size: 110%; + color: #000000; } + +var { +} + +/* general alignment classes */ +.pcenter { + text-align: center; +} + +.pleft { + text-align: left; +} + +.pright { + text-align: right; +} + +/* layout for the definitions of functions, variables, ... */ +div.func { + background: #e0e0e0; + margin: 0pt 0pt; +} + + +/* general and special table settings */ +table { + border-collapse: collapse; + margin-left: auto; + margin-right: auto; +} + +td, th { + border-style: none; +} + +table.func { + padding: 0pt 1ex; + margin-left: 1ex; + margin-right: 1ex; + background: transparent; + /* line-height: 1.1; */ + width: 100%; +} + +table.func td.tdright { + padding-right: 2ex; +} + +/* Example elements (for old converted manuals, now in div+pre */ +table.example { + background: #efefef; + border-style: none; + border-width: 0pt; + padding: 0px; + width: 100% +} +table.example td { + border-style: none; + border-width: 0pt; + padding: 0ex 1ex; +} +/* becomes ... */ +div.example { + background: #efefef; + padding: 0ex 1ex; + /* overflow-x: auto; */ + overflow: auto; +} + +/* Links to chapters in all files at top and bottom. */ +/* If there are too many chapters then use 'display: none' here. */ +div.chlinktop { + background: #dddddd; + border-style: solid; + border-width: thin; + margin: 2px; + text-align: center; +} + +div.chlinktop a { + margin: 3px; +} +div.chlinktop a:hover { + background: #ffffff; +} + +div.chlinkbot { + background: #dddddd; + border-style: solid; + border-width: thin; + margin: 2px; + text-align: center; + /* width: 100%; */ +} + +div.chlinkbot a { + margin: 3px; +} + +span.chlink1 { +} + +/* and this is for the "Top", "Prev", "Next" links */ +div.chlinkprevnexttop { + background: #dddddd; + border-style: solid; + border-width: thin; + text-align: center; + margin: 2px; +} + +div.chlinkprevnexttop a:hover { + background: #ffffff; +} + +div.chlinkprevnextbot { + background: #dddddd; + border-style: solid; + border-width: thin; + text-align: center; + margin: 2px; +} + +div.chlinkprevnextbot a:hover { + background: #ffffff; +} + + +/* table of contents, initially don't display subsections */ +div.ContSSBlock { + display: none; +} +div.ContSSBlock br { + display: none; +} +/* format in separate lines */ +span.tocline { + display: block; + width: 100%; +} +div.ContSSBlock a { + display: block; +} + +/* this is for the main table of contents */ +div.ContChap { +} + +div.ContChap div.ContSect:hover div.ContSSBlock { + display: block; + position: absolute; + background: #eeeeee; + border-style: solid; + border-width: 1px 4px 4px 1px; + border-color: #666666; + padding-left: 0.5ex; + color: #000000; + left: 20%; + width: 40%; + z-index: 10000; +} + +div.ContSSBlock a:hover { + background: #ffffff; +} + +/* and here for the side menu of contents in the chapter files */ +div.ChapSects { +} + +div.ChapSects a:hover { + background: #eeeeee; +} + +div.ChapSects a:hover { + display: block; + width: 100%; + background: #eeeeee; + color: #000000; +} + +div.ChapSects div.ContSect:hover div.ContSSBlock { + display: block; + position: fixed; + background: #eeeeee; + border-style: solid; + border-width: 1px 2px 2px 1px; + border-color: #666666; + padding-left: 0ex; + padding-right: 0.5ex; + color: #000000; + left: 54%; + width: 25%; + z-index: 10000; +} + +div.ChapSects div.ContSect:hover div.ContSSBlock a { + display: block; + margin-left: 3px; +} + +div.ChapSects div.ContSect:hover div.ContSSBlock a:hover { + display: block; + background: #ffffff; +} + +div.ContSect { + text-align: left; + margin-left: 1em; +} +div.ChapSects { + position: fixed; + left: 75%; + font-size: 90%; + overflow: auto; + top: 10px; + bottom: 0px; +} + +/* Table elements */ +table.GAPDocTable { + border-collapse: collapse; + border-style: none; + border-color: black; +} + +table.GAPDocTable td, table.GAPDocTable th { + padding: 3pt; + border-width: thin; + border-style: solid; + border-color: #555555; +} + +caption.GAPDocTable { + caption-side: bottom; + width: 70%; + margin-top: 1em; + margin-left: auto; + margin-right: auto; +} + +td.tdleft { + text-align: left; +} + +table.GAPDocTablenoborder { + border-collapse: collapse; + border-style: none; + border-color: black; +} + +table.GAPDocTablenoborder td, table.GAPDocTable th { + padding: 3pt; + border-width: 0pt; + border-style: solid; + border-color: #555555; +} + +caption.GAPDocTablenoborder { + caption-side: bottom; + width: 70%; + margin-top: 1em; + margin-left: auto; + margin-right: auto; +} + +td.tdleft { + text-align: left; +} + +td.tdright { + text-align: right; +} + +td.tdcenter { + text-align: center; +} + +/* Colors and fonts can be overwritten for some types of elements. */ +/* Verb elements */ +pre.normal { + color: #000000; +} + +/* Func-like elements and Ref to Func-like */ +code.func { + color: #000000; +} + +/* K elements */ +code.keyw { + color: #770000; +} + +/* F elements */ +code.file { + color: #8e4510; +} + +/* C elements */ +code.code { +} + +/* Item elements */ +code.i { +} + +/* Button elements */ +strong.button { +} + +/* Headings */ +span.Heading { +} + +/* Arg elements */ +var.Arg { + color: #006600; +} + +/* Example elements, is in tables, see above */ +div.Example { +} + +/* Package elements */ +strong.pkg { +} + +/* URL-like elements */ +span.URL { +} + +/* Mark elements */ +strong.Mark { +} + +/* Ref elements */ +b.Ref { +} +span.Ref { +} + +/* this contains the contents page */ +div.contents { +} + +/* this contains the index page */ +div.index { +} + +/* ignore some text for non-css layout */ +span.nocss { + display: none; +} + +/* colors for ColorPrompt like examples */ +span.GAPprompt { + color: #000097; + font-weight: normal; +} +span.GAPbrkprompt { + color: #970000; + font-weight: normal; +} +span.GAPinput { + color: #970000; +} + +/* Bib entries */ +p.BibEntry { +} +span.BibKey { + color: #005522; +} +span.BibKeyLink { +} +b.BibAuthor { +} +i.BibTitle { +} +i.BibBookTitle { +} +span.BibEditor { +} +span.BibJournal { +} +span.BibType { +} +span.BibPublisher { +} +span.BibSchool { +} +span.BibEdition { +} +span.BibVolume { +} +span.BibSeries { +} +span.BibNumber { +} +span.BibPages { +} +span.BibOrganization { +} +span.BibAddress { +} +span.BibYear { +} +span.BibPublisher { +} +span.BibNote { +} +span.BibHowpublished { +} + + + + diff --git a/v0.11.1/assets/html/JuliaInterface/manual.js b/v0.11.1/assets/html/JuliaInterface/manual.js new file mode 100644 index 000000000..627cf94e0 --- /dev/null +++ b/v0.11.1/assets/html/JuliaInterface/manual.js @@ -0,0 +1,113 @@ +/* manual.js Frank Lübeck */ + +/* This file contains a few javascript functions which allow to switch + between display styles for GAPDoc HTML manuals. + If javascript is switched off in a browser or this file in not available + in a manual directory, this is no problem. Users just cannot switch + between several styles and don't see the corresponding button. + + A style with name mystyle can be added by providing two files (or only + one of them). + mystyle.js: Additional javascript code for the style, it is + read in the HTML pages after this current file. + The additional code may adjust the preprocessing function + jscontent() with is called onload of a file. This + is done by appending functions to jscontentfuncs + (jscontentfuncs.push(newfunc);). + Make sure, that your style is still usable without + javascript. + mystyle.css: CSS configuration, read after manual.css (so it can + just reconfigure a few details, or overwrite everything). + + Then adjust chooser.html such that users can switch on and off mystyle. + + A user can change the preferred style permanently by using the [Style] + link and choosing one. Or one can append '?GAPDocStyle=mystyle' to the URL + when loading any file of the manual (so the style can be configured in + the GAP user preferences). + +*/ + +/* generic helper function */ +function deleteCookie(nam) { + document.cookie = nam+"=;Path=/;expires=Thu, 01 Jan 1970 00:00:00 GMT"; +} + +/* read a value from a "nam1=val1;nam2=val2;..." string (e.g., the search + part of an URL or a cookie */ +function valueString(str,nam) { + var cs = str.split(";"); + for (var i=0; i < cs.length; i++) { + var pos = cs[i].search(nam+"="); + if (pos > -1) { + pos = cs[i].indexOf("="); + return cs[i].slice(pos+1); + } + } + return 0; +} + +/* when a non-default style is chosen via URL or a cookie, then + the cookie is reset and the styles .js and .css files are read */ +function overwriteStyle() { + /* style in URL? */ + var style = valueString(window.location.search, "GAPDocStyle"); + /* otherwise check cookie */ + if (style == 0) + style = valueString(document.cookie, "GAPDocStyle"); + if (style == 0) + return; + if (style == "default") + deleteCookie("GAPDocStyle"); + else { + /* ok, we set the cookie for path "/" */ + var path = "/"; + /* or better like this ??? + var here = window.location.pathname.split("/"); + for (var i=0; i+3 < here.length; i++) + path = path+"/"+here[i]; + */ + document.cookie = "GAPDocStyle="+style+";Path="+path; + /* split into names of style files */ + var stlist = style.split(","); + /* read style's css and js files */ + for (var i=0; i < stlist.length; i++) { + document.writeln(''); + document.writeln(''); + } + } +} + +/* this adds a "[Style]" link next to the MathJax switcher */ +function addStyleLink() { + var line = document.getElementById("mathjaxlink"); + var el = document.createElement("a"); + var oncl = document.createAttribute("href"); + var back = window.location.protocol+"//" + if (window.location.protocol == "http:" || + window.location.protocol == "https:") { + back = back+window.location.host; + if (window.location.port != "") { + back = back+":"+window.location.port; + } + } + back = back+window.location.pathname; + oncl.nodeValue = "chooser.html?BACK="+back; + el.setAttributeNode(oncl); + var cont = document.createTextNode(" [Style]"); + el.appendChild(cont); + line.appendChild(el); +} + +var jscontentfuncs = new Array(); + +jscontentfuncs.push(addStyleLink); + +/* the default jscontent() only adds the [Style] link to the page */ +function jscontent () { + for (var i=0; i < jscontentfuncs.length; i++) + jscontentfuncs[i](); +} + diff --git a/v0.11.1/assets/html/JuliaInterface/nocolorprompt.css b/v0.11.1/assets/html/JuliaInterface/nocolorprompt.css new file mode 100644 index 000000000..601602f73 --- /dev/null +++ b/v0.11.1/assets/html/JuliaInterface/nocolorprompt.css @@ -0,0 +1,13 @@ + +/* colors for ColorPrompt like examples */ +span.GAPprompt { + color: #000000; + font-weight: normal; +} +span.GAPbrkprompt { + color: #000000; + font-weight: normal; +} +span.GAPinput { + color: #000000; +} diff --git a/v0.11.1/assets/html/JuliaInterface/ragged.css b/v0.11.1/assets/html/JuliaInterface/ragged.css new file mode 100644 index 000000000..e8d79caf0 --- /dev/null +++ b/v0.11.1/assets/html/JuliaInterface/ragged.css @@ -0,0 +1,6 @@ +/* times.css Frank Lübeck */ +/* Change default CSS to use Times font. */ + +body { + text-align: left; +} diff --git a/v0.11.1/assets/html/JuliaInterface/rainbow.js b/v0.11.1/assets/html/JuliaInterface/rainbow.js new file mode 100644 index 000000000..1b662aeca --- /dev/null +++ b/v0.11.1/assets/html/JuliaInterface/rainbow.js @@ -0,0 +1,60 @@ + +function randchar(str) { + var i = Math.floor(Math.random() * str.length); + while (i == str.length) + i = Math.floor(Math.random() * str.length); + return str[i]; +} + +hexdigits = "0123456789abcdef"; + +function randlight() { + return randchar("cdef")+randchar(hexdigits)+ + randchar("cdef")+randchar(hexdigits)+ + randchar("cdef")+randchar(hexdigits) +} +function randdark() { + return randchar("012345789")+randchar(hexdigits)+ + randchar("012345789")+randchar(hexdigits)+ + randchar("102345789")+randchar(hexdigits) +} + +document.write('\n'); + + + diff --git a/v0.11.1/assets/html/JuliaInterface/times.css b/v0.11.1/assets/html/JuliaInterface/times.css new file mode 100644 index 000000000..426227252 --- /dev/null +++ b/v0.11.1/assets/html/JuliaInterface/times.css @@ -0,0 +1,6 @@ +/* times.css Frank Lübeck */ +/* Change default CSS to use Times font. */ + +body { + font-family: Times,Times New Roman,serif; +} diff --git a/v0.11.1/assets/html/JuliaInterface/toggless.css b/v0.11.1/assets/html/JuliaInterface/toggless.css new file mode 100644 index 000000000..88650cbfa --- /dev/null +++ b/v0.11.1/assets/html/JuliaInterface/toggless.css @@ -0,0 +1,42 @@ +/* toggless.css Frank Lübeck */ + +/* Using javascript we change all div.ContSect to div.ContSectOpen or + div.ContSectClosed. This way the config for div.ContSect in manual.css + is no longer relevant. Here we add the CSS for the new elements. */ +/* This layout is based on an idea by Burkhard Höfling. */ + +div.ContSectClosed { + text-align: left; + margin-left: 1em; +} +div.ContSectOpen { + text-align: left; + margin-left: 1em; +} +div.ContSectOpen div.ContSSBlock { + display: block; + text-align: left; + margin-left: 1em; +} +div.ContSectOpen div.ContSSBlock a { + display: block; + width: 100%; + margin-left: 1em; +} +span.tocline a:hover { + display: inline; + background: #eeeeee; +} +span.ContSS a:hover { + display: inline; + background: #eeeeee; +} +span.toctoggle { + font-size: 80%; + display: inline-block; + width: 1.2em; +} +span.toctoggle:hover { + background-color: #aaaaaa; +} + diff --git a/v0.11.1/assets/html/JuliaInterface/toggless.js b/v0.11.1/assets/html/JuliaInterface/toggless.js new file mode 100644 index 000000000..b932d8310 --- /dev/null +++ b/v0.11.1/assets/html/JuliaInterface/toggless.js @@ -0,0 +1,65 @@ +/* toggless.js Frank Lübeck */ + +/* this file contains two functions: + mergeSideTOCHooks: this changes div.ContSect elements to the class + ContSectClosed and includes a hook to toggle between + ContSectClosed and ContSectOpen. + openclosetoc: this function does the toggling, the rest is done by + CSS +*/ + + + +closedTOCMarker = "▶ "; +openTOCMarker = "▼ "; +noTOCMarker = " "; +/* merge hooks into side toc for opening/closing subsections + with openclosetoc */ +function mergeSideTOCHooks() { + var hlist = document.getElementsByTagName("div"); + for (var i = 0; i < hlist.length; i++) { + if (hlist[i].className == "ContSect") { + var chlds = hlist[i].childNodes; + var el = document.createElement("span"); + var oncl = document.createAttribute("class"); + oncl.nodeValue = "toctoggle"; + el.setAttributeNode(oncl); + var cont; + if (chlds.length > 2) { + var oncl = document.createAttribute("onclick"); + oncl.nodeValue = "openclosetoc(event)"; + el.setAttributeNode(oncl); + cont = document.createTextNode(closedTOCMarker); + } else { + cont = document.createTextNode(noTOCMarker); + } + el.appendChild(cont); + hlist[i].firstChild.insertBefore(el, hlist[i].firstChild.firstChild); + hlist[i].className = "ContSectClosed"; + } + } +} + +function openclosetoc (event) { + /* first two steps to make it work in most browsers */ + var evt=window.event || event; + if (!evt.target) + evt.target=evt.srcElement; + + var markClosed = document.createTextNode(closedTOCMarker); + var markOpen = document.createTextNode(openTOCMarker); + + var par = evt.target.parentNode.parentNode; + if (par.className == "ContSectOpen") { + par.className = "ContSectClosed"; + evt.target.replaceChild(markClosed, evt.target.firstChild); + } + else if (par.className == "ContSectClosed") { + par.className = "ContSectOpen"; + evt.target.replaceChild(markOpen, evt.target.firstChild); + } +} + +/* adjust jscontent which is called onload */ +jscontentfuncs.push(mergeSideTOCHooks); + diff --git a/v0.11.1/assets/themes/documenter-dark.css 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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-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-outlined{background-color:transparent;border-color:#ad8100;box-shadow:none;color:#ad8100}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-focused{background-color:#fff;color:#ad8100}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,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 .button.is-selected:hover{z-index:4}html.theme--documenter-dark .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--documenter-dark .buttons.is-centered{justify-content:center}html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--documenter-dark .buttons.is-right{justify-content:flex-end}html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:1rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1.25rem}}html.theme--documenter-dark .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--documenter-dark .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--documenter-dark .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--documenter-dark .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--documenter-dark .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--documenter-dark .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--documenter-dark .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--documenter-dark .content li+li{margin-top:0.25em}html.theme--documenter-dark .content p:not(:last-child),html.theme--documenter-dark .content dl:not(:last-child),html.theme--documenter-dark .content ol:not(:last-child),html.theme--documenter-dark .content ul:not(:last-child),html.theme--documenter-dark .content blockquote:not(:last-child),html.theme--documenter-dark .content pre:not(:last-child),html.theme--documenter-dark .content table:not(:last-child){margin-bottom:1em}html.theme--documenter-dark .content 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html.theme--documenter-dark .navbar-dropdown,html.theme--documenter-dark .navbar-dropdown.is-boxed{border-radius:8px;border-top:none;box-shadow:0 8px 8px rgba(10,10,10,0.1), 0 0 0 1px rgba(10,10,10,0.1);display:block;opacity:0;pointer-events:none;top:calc(100% + (-4px));transform:translateY(-5px);transition-duration:86ms;transition-property:opacity, transform}html.theme--documenter-dark .navbar-dropdown.is-right{left:auto;right:0}html.theme--documenter-dark .navbar-divider{display:block}html.theme--documenter-dark .navbar>.container .navbar-brand,html.theme--documenter-dark .container>.navbar .navbar-brand{margin-left:-.75rem}html.theme--documenter-dark .navbar>.container .navbar-menu,html.theme--documenter-dark .container>.navbar .navbar-menu{margin-right:-.75rem}html.theme--documenter-dark .navbar.is-fixed-bottom-desktop,html.theme--documenter-dark .navbar.is-fixed-top-desktop{left:0;position:fixed;right:0;z-index:30}html.theme--documenter-dark 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a.navbar-item.is-active:not(:focus):not(:hover),html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--documenter-dark .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--documenter-dark .pagination{font-size:1rem;margin:-.25rem}html.theme--documenter-dark .pagination.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.75rem}html.theme--documenter-dark .pagination.is-medium{font-size:1.25rem}html.theme--documenter-dark .pagination.is-large{font-size:1.5rem}html.theme--documenter-dark .pagination.is-rounded .pagination-previous,html.theme--documenter-dark #documenter .docs-sidebar 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+ 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/v0.11.1/assets/themeswap.js b/v0.11.1/assets/themeswap.js new file mode 100644 index 000000000..9f5eebe6a --- /dev/null +++ b/v0.11.1/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/v0.11.1/assets/warner.js b/v0.11.1/assets/warner.js new file mode 100644 index 000000000..3f6f5d008 --- /dev/null +++ b/v0.11.1/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/v0.11.1/basics/index.html b/v0.11.1/basics/index.html new file mode 100644 index 000000000..559dfff4b --- /dev/null +++ b/v0.11.1/basics/index.html @@ -0,0 +1,113 @@ + +Basics · GAP.jl
GitHub

Basics

Accessing GAP from Julia

  • Any global GAP variable and function can be accessed from Julia via the GAP.Globals object; for example GAP.Globals.Binomial(5,3). See Convenience adapters for dealing with GAP syntax beyond simple function calls.

  • The GAP.prompt command can be used to switch to a GAP session that works like a regular GAP, except that leaving it (via quit; or by pressing Ctrl-D) returns one to a Julia prompt. From the GAP prompt, one can access Julia variables via the Julia object, for example Julia.binomial(5,3). For more details on how to access Julia from GAP, please consult the manual of the GAP package JuliaInterface.

  • Alternatively, one can start GAP in the traditional way, by executing a shell script. Such a script can be created in a location of your choice via GAP.create_gap_sh. Note that one cannot switch from such a GAP session to the underlying Julia session and back.

GAP.Globals — Constant
Globals

This is a global object that gives access to all global variables of the current GAP session via getproperty and setproperty!.

Examples

julia> GAP.Globals.Size    # a global GAP function
+GAP: <Attribute "Size">
+
+julia> GAP.Globals.size    # there is no GAP variable with this name
+ERROR: GAP variable size not bound
+[...]
+
+julia> hasproperty( GAP.Globals, :size )
+false
+
+julia> GAP.Globals.size = 17;
+
+julia> hasproperty( GAP.Globals, :size )
+true
+
+julia> GAP.Globals.size
+17
+
+julia> GAP.Globals.UnbindGlobal(g"size")
+
+julia> GAP.Globals.Julia   # Julia objects can be values of GAP variables
+Main
+
source
GAP.evalstr — Function
evalstr(cmd::String)

Let GAP execute the command(s) given by cmd; if an error occurs then report this error, otherwise if the last command has a result then return it, otherwise return nothing.

Examples

julia> GAP.evalstr( "1+2" )
+3
+
+julia> GAP.evalstr( "x:= []" )
+GAP: [  ]
+
+julia> GAP.evalstr( "y:= 2; Add( x, y )" )
+
+julia> GAP.evalstr( "x" )
+GAP: [ 2 ]
+
+julia> GAP.evalstr( "Print( x )" )

Note that screen outputs caused by evaluating cmd are not shown by evalstr; use evalstr_ex for accessing both the outputs and the return values of the command(s).

In general we recommend to avoid using evalstr, but it sometimes can be a useful escape hatch to access GAP functionality that is otherwise impossible to difficult to reach. But in most typical scenarios it should not be necessary to use it at all.

Instead, use GAP.GapObj or GAP.Obj for constructing GAP objects that correspond to given Julia objects, and call GAP functions directly in the Julia session. For example, executing GAP.evalstr( "x:= []; Add( x, 2 )" ) can be replaced by the Julia code x = GAP.GapObj([]); GAP.Globals.Add(x, 2). Note that the variable x in the former example lives in the GAP session, i.e., it can be accessed as GAP.Globals.x after the call of GAP.evalstr, whereas x in the latter example lives in the Julia session.

source
GAP.evalstr_ex — Function
evalstr_ex(cmd::String)

Assume that cmd consists of $n$ GAP statements, each terminated by ; or ;;. Let GAP execute these statements and return a GAP list of length $n$ that describes their results. Each entry of the return value is a GAP list of length 5, with the following meaning.

  • The first entry is true if the statement was executed successfully, and false otherwise.
  • If the first entry is true, then the second entry is bound to the result of the statement if there was one, and unbound otherwise.
  • The third entry is unbound if an error occured, true if the statement ends in a double semicolon, and false otherwise.
  • The fourth entry currently is always unbound.
  • The fifth entry contains the captured output of the statement as a string. If there was no double semicolon then also the output of GAP.Globals.ViewObj applied to the result value in the second entry, if any, is part of that string.

Examples

julia> GAP.evalstr_ex( "1+2" )        # error due to missing semicolon
+GAP: [ [ false,,,, "" ] ]
+
+julia> GAP.evalstr_ex( "1+2;" )       # one statement with return value
+GAP: [ [ true, 3, false,, "3" ] ]
+
+julia> GAP.evalstr_ex( "1+2;;" )      # the same with suppressed output
+GAP: [ [ true, 3, true,, "" ] ]
+
+julia> GAP.evalstr_ex( "x:= []; Add(x, 1);" )  # two valid commands
+GAP: [ [ true, [ 1 ], false,, "[  ]" ], [ true,, false,, "" ] ]
+
+julia> GAP.evalstr_ex( "1/0; 1+1;" )  # one error, one valid command
+GAP: [ [ false,,,, "" ], [ true, 2, false,, "2" ] ]
+
+julia> GAP.evalstr_ex( "Print(1);" )  # no return value but output
+GAP: [ [ true,, false,, "1" ] ]
+
+julia> GAP.evalstr_ex( "" )           # empty input
+GAP: [  ]
source
GAP.prompt — Function
prompt()

Start a GAP prompt where you can enter GAP commands as in a regular GAP session. This prompt can be left as any GAP prompt by either entering quit; or pressing ctrl-D, which returns to the Julia prompt.

This GAP prompt allows to quickly switch between writing Julia and GAP code in a session where all data is shared.

source
GAP.create_gap_sh — Function
create_gap_sh(dstdir::String)

Given a directory path, create three files in that directory:

  • a shell script named gap.sh which acts like the gap.sh shipped with a regular GAP installation, but which behind the scenes launches GAP via Julia.
  • two TOML files, Manifest.toml and Project.toml, which are required by gap.sh to function (they record the precise versions of GAP.jl and other Julia packages involved)
source

Accessing Julia from GAP

The GAP-Julia interface is fully bidirectional, so it is also possible to access all Julia functionality from GAP. To learn more about this, please consult the manual of the GAP package JuliaInterface.

Types

GAP.FFE — Type
FFE

Wrap a pointer to a GAP FFE ("finite field element") immediate object. This type is defined in the JuliaInterface C code.

Examples

julia> x = GAP.Globals.Z(3)
+GAP: Z(3)
+
+julia> typeof(x)
+FFE
source
GAP.GapObj — Type
GapObj

This is the Julia type of all those GAP objects that are not "immediate" (booleans, small integers, FFEs).

Examples

julia> typeof(GapObj([1, 2]))          # a GAP list
+GapObj
+
+julia> typeof(GapObj(Dict(:a => 1)))   # a GAP record
+GapObj
+
+julia> typeof( GAP.evalstr( "(1,2,3)" ) )  # a GAP permutation
+GapObj
+
+julia> typeof( GAP.evalstr( "2^64" ) )     # a large GAP integer
+GapObj
+
+julia> typeof( GAP.evalstr( "2^59" ) )     # a small GAP integer
+Int64
+
+julia> typeof( GAP.evalstr( "Z(2)" ) )     # a GAP FFE
+FFE
+
+julia> typeof( GAP.evalstr( "true" ) )     # a boolean
+Bool

Note that this is Julia's viewpoint on GAP objects. From the viewpoint of GAP, also the pointers to Julia objects are implemented as "non-immediate GAP objects", but they appear as Julia objects to Julia, not "doubly wrapped".

Examples

julia> GAP.evalstr( "Julia.Base" )
+Base
+
+julia> typeof( GAP.evalstr( "Julia.Base" ) )        # native Julia object
+Module

One can use GapObj as a constructor, in order to convert Julia objects to GAP objects. Such calls are delegated to julia_to_gap.

However, this is restricted to outputs that actually are of type GapObj. To also deal with GAP integers, finite field elements and booleans, use GAP.Obj instead.

Recursive conversion of nested Julia objects (arrays, tuples, dictionaries) can be forced either by a second argument true or by the keyword argument recursive with value true.

Examples

julia> GapObj(1//3)
+GAP: 1/3
+
+julia> GapObj([1 2; 3 4])
+GAP: [ [ 1, 2 ], [ 3, 4 ] ]
+
+julia> GapObj([[1, 2], [3, 4]])
+GAP: [ <Julia: [1, 2]>, <Julia: [3, 4]> ]
+
+julia> GapObj([[1, 2], [3, 4]], true)
+GAP: [ [ 1, 2 ], [ 3, 4 ] ]
+
+julia> GapObj([[1, 2], [3, 4]], recursive=true)
+GAP: [ [ 1, 2 ], [ 3, 4 ] ]
+
+julia> GapObj(42)
+ERROR: TypeError: in typeassert, expected GapObj, got a value of type Int64
source
GAP.Obj — Type
GAP.Obj

This is an alias for Union{GapObj,FFE,Int64,Bool}. This type union covers all types a "native" GAP object may have from Julia's viewpoint.

Moreover, it can be used as a constructor, in order to convert Julia objects to GAP objects, whenever a suitable conversion has been defined.

Recursive conversion of nested Julia objects (arrays, tuples, dictionaries) can be forced either by a second argument true or by the keyword argument recursive with value true.

Examples

julia> GAP.Obj(1//3)
+GAP: 1/3
+
+julia> GAP.Obj([1 2; 3 4])
+GAP: [ [ 1, 2 ], [ 3, 4 ] ]
+
+julia> GAP.Obj([[1, 2], [3, 4]])
+GAP: [ <Julia: [1, 2]>, <Julia: [3, 4]> ]
+
+julia> GAP.Obj([[1, 2], [3, 4]], true)
+GAP: [ [ 1, 2 ], [ 3, 4 ] ]
+
+julia> GAP.Obj([[1, 2], [3, 4]], recursive=true)
+GAP: [ [ 1, 2 ], [ 3, 4 ] ]
+
+julia> GAP.Obj(42)
+42
source
GAP.GapInt — Type
GapInt

Any GAP integer object is represented in Julia as either a GapObj (if it is a "large" integer) or as an Int (if it is a "small" integer). This type union can be used to express this conveniently, e.g. when one wants to help type stability.

Note that also GAP's infinity and -infinity fit under this type (as do many other objects which are not numbers).

source
diff --git a/v0.11.1/conversion/index.html b/v0.11.1/conversion/index.html new file mode 100644 index 000000000..bbce9737d --- /dev/null +++ b/v0.11.1/conversion/index.html @@ -0,0 +1,240 @@ + +Conversions · GAP.jl
GitHub

Conversions

One of the main ideas of GAP.jl is that automatic conversions of Julia objects to GAP objects and vice versa shall be avoided whenever this is possible. For a few types of objects, such conversions are unavoidable, see Automatic GAP-to-Julia and Julia-to-GAP Conversions. In all other situations, the conversions between GAP objects and corresponding Julia objects can be performed using gap_to_julia and julia_to_gap, see Explicit GAP-to-Julia and Julia-to-GAP Conversions, respectively.

For convenience, also constructor methods are provided, for example Vector{Int64}(obj) can be used instead of GAP.gap_to_julia(Vector{Int64}, obj), where obj is a GAP list of integers; see Constructor Methods for GAP-to-Julia Conversions for a description of these methods. For Julia-to-GAP conversions, one can use for example GapObj(obj), where obj is a Julia object, see GapObj.

Automatic GAP-to-Julia and Julia-to-GAP Conversions

When one calls a GAP function with Julia objects as arguments, or a Julia function with GAP objects as arguments, the arguments are in general not automatically converted to GAP objects or Julia objects, respectively. The exceptions are as follows.

  • GAP's immediate integers (in the range -2^60 to 2^60-1) are automatically converted to Julia's Int64 objects; Julia's Int64 objects are automatically converted to GAP's immediate integers if they fit, and to GAP's large integers otherwise.

  • GAP's immediate finite field elements are automatically converted to Julia's GAP.FFE objects, and vice versa.

  • GAP's true and false are automatically converted to Julia's true and false, and vice versa.

Explicit GAP-to-Julia and Julia-to-GAP Conversions

GAP.gap_to_julia — Function
gap_to_julia(type, x, recursion_dict::Union{Nothing,RecDict}=nothing; recursive::Bool=true)

Try to convert the object x to a Julia object of type type. If x is a GapObj then the conversion rules are defined in the manual of the GAP package JuliaInterface. If x is another GAP.Obj (for example a Int64) then the result is defined in Julia by type.

The parameter recursion_dict is used to preserve the identity of converted subobjects and should never be given by the user.

For GAP lists and records, it makes sense to convert also the subobjects recursively, or to keep the subobjects as they are; the behaviour is controlled by recursive, which can be true or false.

Examples

julia> GAP.gap_to_julia(GapObj(1//3))
+1//3
+
+julia> GAP.gap_to_julia(GapObj("abc"))
+"abc"
+
+julia> val = GapObj([ 1 2 ; 3 4 ])
+GAP: [ [ 1, 2 ], [ 3, 4 ] ]
+
+julia> GAP.gap_to_julia( val )
+2-element Vector{Any}:
+ Any[1, 2]
+ Any[3, 4]
+
+julia> GAP.gap_to_julia( val, recursive = false )
+2-element Vector{Any}:
+ GAP: [ 1, 2 ]
+ GAP: [ 3, 4 ]
+
+julia> GAP.gap_to_julia( Vector{GapObj}, val )
+2-element Vector{GapObj}:
+ GAP: [ 1, 2 ]
+ GAP: [ 3, 4 ]
+
+julia> GAP.gap_to_julia( Matrix{Int}, val )
+2×2 Matrix{Int64}:
+ 1  2
+ 3  4

The following gap_to_julia conversions are supported by GAP.jl. (Other Julia packages may provide conversions for more GAP objects.)

GAP filterdefault Julia typeother Julia types
IsIntBigInt`T <: Integer
IsFFEGapFFE
IsBoolBool
IsRatRational{BigInt}`Rational{T}
IsFloatFloat64`T <: AbstractFloat
IsCharCucharChar
IsStringRepStringSymbol, Vector{T}
IsRangeRepStepRange{Int64,Int64}Vector{T}
IsBListRepBitVectorVector{T}
IsListVector{Any}Vector{T}
IsVectorObjVector{Any}Vector{T}
IsMatrixObjMatrix{Any}Matrix{T}
IsRecordDict{Symbol, Any}Dict{Symbol, T}
source
GAP.julia_to_gap — Function
julia_to_gap(input, recursion_dict = IdDict(); recursive::Bool = false)

Convert a julia object input to an appropriate GAP object. If recursive is set to true, recursive conversions on arrays, tuples, and dictionaries is performed.

The input recursion_dict should never be set by the user, it is meant to keep egality of input data, by converting equal data to identical objects in GAP.

Examples

julia> GAP.julia_to_gap(1//3)
+GAP: 1/3
+
+julia> GAP.julia_to_gap("abc")
+GAP: "abc"
+
+julia> GAP.julia_to_gap([ [1, 2], [3, 4]])
+GAP: [ <Julia: [1, 2]>, <Julia: [3, 4]> ]
+
+julia> GAP.julia_to_gap([ [1, 2], [3, 4]], recursive = true)
+GAP: [ [ 1, 2 ], [ 3, 4 ] ]
+

The following julia_to_gap conversions are supported by GAP.jl. (Other Julia packages may provide conversions for more Julia objects.)

Julia typeGAP filter
Int8, Int16, ..., BigIntIsInt
GapFFEIsFFE
BoolIsBool
Rational{T}IsRat
Float16, Float32, Float64IsFloat
AbstractStringIsString
SymbolIsString
CharIsChar
Vector{T}IsList
Vector{Bool}, BitVectorIsBList
Tuple{T}IsList
Matrix{T}IsList
Dict{String, T}, Dict{Symbol, T}IsRecord
UnitRange{T}, StepRange{T, S}IsRange
FunctionIsFunction
source

Constructor Methods for GAP-to-Julia Conversions

(For Julia-to-GAP conversions, one can use GapObj and GAP.Obj as constructors.)

Core.Int128 — Type
Int128(obj::GapObj)

Return the Int128 converted from the GAP integer obj. (Note that small GAP integers are represented by Julia Int64 objects, in particular they are not GapObjs; their conversion is not handled by methods installed in GAP.jl.)

Examples

julia> val = GAP.Globals.Factorial(25)
+GAP: 15511210043330985984000000
+
+julia> Int128(val)
+15511210043330985984000000
+
+julia> Int(val)
+ERROR: InexactError: Int64(15511210043330985984000000)
source
Base.GMP.BigInt — Type
BigInt(obj::GapObj)

Return the big integer converted from the GAP integer obj. (Note that small GAP integers are not represented by GapObjs, their conversion with BigInt is handled by Julia's methods.)

Examples

julia> val = GAP.Globals.Factorial(25)
+GAP: 15511210043330985984000000
+
+julia> BigInt(val)
+15511210043330985984000000
+
+julia> val = GAP.Globals.Factorial(10)
+3628800
+
+julia> isa(val, GapObj)
+false
+
+julia> BigInt(val)
+3628800
+
source
Base.Rational — Type
Rational{T}(obj::GapObj) where {T<:Integer}

Return the rational converted from the GAP integer or the GAP rational obj,

Examples

julia> val = GAP.Globals.Factorial(25)
+GAP: 15511210043330985984000000
+
+julia> Rational{Int128}(val)
+15511210043330985984000000//1
+
+julia> Rational{BigInt}(val)
+15511210043330985984000000//1
+
+julia> val = GAP.Obj(1//3)
+GAP: 1/3
+
+julia> Rational{Int64}(val)
+1//3
+
source
Core.Float64 — Type
Float64(obj::GapObj)

Return the float converted from the GAP float obj.

Examples

julia> val = GAP.Obj(2.2)
+GAP: 2.2
+
+julia> Float64(val)
+2.2
+
+julia> Float32(val)
+2.2f0
+
source
Core.Char — Type
Char(obj::GapObj)

Return the character converted from the GAP character obj.

Examples

julia> val = GAP.Obj('x')
+GAP: 'x'
+
+julia> Char(val)
+'x': ASCII/Unicode U+0078 (category Ll: Letter, lowercase)
+
source
Base.Cuchar — Type
Cuchar(obj::GapObj)

Return the UInt8 that belongs to the GAP character obj.

Examples

julia> val = GAP.Obj('x')
+GAP: 'x'
+
+julia> Cuchar(val)
+0x78
+
source
Core.String — Type
String(obj::GapObj)

Return the Julia string converted from the GAP string obj. Note that GAP's String function can be applied to arbitrary GAP objects, similar to Julia's string function; this behaviour is not intended for this String constructor.

Examples

julia> val = GAP.Obj("abc")
+GAP: "abc"
+
+julia> String(val)
+"abc"
+
+julia> val = GAP.Obj([])
+GAP: [  ]
+
+julia> String(val)   # an empty GAP list is a string
+""
+
source
Core.Symbol — Type
Symbol(obj::GapObj)

Return the symbol converted from the GAP string obj.

Examples

julia> str = GAP.Obj("abc")
+GAP: "abc"
+
+julia> Symbol(str)
+:abc
+
source
Base.UnitRange — Type
UnitRange(obj::GapObj)

Return the unit range converted from the GAP range obj, which has step width 1.

Examples

julia> val = GAP.Obj(1:10)
+GAP: [ 1 .. 10 ]
+
+julia> UnitRange(val)
+1:10
+
+julia> UnitRange{Int32}(val)
+1:10
+
source
Base.StepRange — Type
StepRange(obj::GapObj)

Return the step range converted from the GAP range obj, which may have arbitrary step width.

Examples

julia> val = GAP.Obj(1:2:11)
+GAP: [ 1, 3 .. 11 ]
+
+julia> StepRange(val)
+1:2:11
+
+julia> r = StepRange{Int8,Int8}(val)
+1:2:11
+
+julia> typeof(r)
+StepRange{Int8, Int8}
+
source
Core.Tuple — Type
Tuple{Types...}(obj::GapObj; recursive::Bool = true)

Return the tuple converted from the GAP list obj. The entries of the list are converted to the required types Types..., using gap_to_julia. If recursive is true then the entries of the list are converted recursively, otherwise non-recursively.

Examples

julia> val = GAP.Obj([1, 5])
+GAP: [ 1, 5 ]
+
+julia> Tuple{Int64,Int64}(val)
+(1, 5)
+
+julia> val = GAP.Obj([[1], [2]]; recursive=true)
+GAP: [ [ 1 ], [ 2 ] ]
+
+julia> Tuple{Any,Any}(val)
+(Any[1], Any[2])
+
+julia> Tuple{GapObj,GapObj}(val; recursive=false)
+(GAP: [ 1 ], GAP: [ 2 ])
+
source
Base.BitVector — Type
BitVector(obj::GapObj)

Return the bit vector converted from the GAP list of booleans obj.

Examples

julia> val = GAP.Obj([true, false, true])
+GAP: [ true, false, true ]
+
+julia> BitVector(val)
+3-element BitVector:
+ 1
+ 0
+ 1
+
source
Base.Vector — Type
Vector{T}(obj::GapObj; recursive::Bool = true)

Return the 1-dimensional array converted from the GAP list obj. The entries of the list are converted to the type T, using gap_to_julia. If recursive is true then the entries of the list are converted recursively, otherwise non-recursively.

If T is UInt8 then obj may be a GAP string.

Examples

julia> val = GAP.Obj([[1], [2]]; recursive=true)
+GAP: [ [ 1 ], [ 2 ] ]
+
+julia> Vector{Any}(val)
+2-element Vector{Any}:
+ Any[1]
+ Any[2]
+
+julia> Vector{Any}(val; recursive=false)
+2-element Vector{Any}:
+ GAP: [ 1 ]
+ GAP: [ 2 ]
+
+julia> Vector{Vector{Int64}}(val)
+2-element Vector{Vector{Int64}}:
+ [1]
+ [2]
+
+julia> val = GAP.evalstr( "NewVector( IsPlistVectorRep, Integers, [ 0, 2, 5 ] )" )
+GAP: <plist vector over Integers of length 3>
+
+julia> Vector{Int64}(val)
+3-element Vector{Int64}:
+ 0
+ 2
+ 5
+
+julia> val = GAP.Obj("abc")
+GAP: "abc"
+
+julia> Vector{UInt8}(val)
+3-element Vector{UInt8}:
+ 0x61
+ 0x62
+ 0x63
+
source
Base.Matrix — Type
Matrix{T}(obj::GapObj; recursive::Bool = true)

Return the 2-dimensional array converted from the GAP matrix obj, which can be a GAP list of lists or a GAP matrix object. The entries of the matrix are converted to the type T, using gap_to_julia. If recursive is true then the entries are converted recursively, otherwise non-recursively.

Examples

julia> val = GAP.Obj([[1, 2], [3, 4]]; recursive=true)
+GAP: [ [ 1, 2 ], [ 3, 4 ] ]
+
+julia> Matrix{Int64}(val)
+2×2 Matrix{Int64}:
+ 1  2
+ 3  4
+
+julia> val = GAP.evalstr( "NewMatrix( IsPlistMatrixRep, Integers, 2, [ 0, 1, 2, 3 ] )" )
+GAP: <2x2-matrix over Integers>
+
+julia> Matrix{Int64}(val)
+2×2 Matrix{Int64}:
+ 0  1
+ 2  3
+
source
Base.Set — Type
Set{T}(obj::GapObj; recursive::Bool = true)

Return the set converted from the GAP list or GAP collection obj. The elements of obj are converted to the required type T, using gap_to_julia. If recursive is true then the elements are converted recursively, otherwise non-recursively.

This constructor method is intended for situations where the result involves only native Julia objects such as integers and strings. Dealing with results containing GAP objects will be inefficient.

Examples

julia> Set{Int}(GAP.Obj([1, 2, 1]))
+Set{Int64} with 2 elements:
+  2
+  1
+
+julia> Set{Vector{Int}}(GAP.Obj([[1], [2], [1]]; recursive=true))
+Set{Vector{Int64}} with 2 elements:
+  [1]
+  [2]
+
+julia> Set{String}(GAP.Obj(["a", "b"]; recursive=true))
+Set{String} with 2 elements:
+  "b"
+  "a"
+
+julia> Set{Any}(GAP.Obj([[1], [2], [1]]; recursive=true))
+Set{Any} with 2 elements:
+  Any[1]
+  Any[2]
source
Base.Dict — Type
Dict{Symbol,T}(obj::GapObj; recursive::Bool = true)

Return the dictionary converted from the GAP record obj. If recursive is true then the values of the record components are recursively converted to objects of the type T, using gap_to_julia, otherwise they are kept as they are.

Examples

julia> val = GAP.Obj(Dict(:a => 1, :b => 2))
+GAP: rec( a := 1, b := 2 )
+
+julia> Dict{Symbol,Int}(val)
+Dict{Symbol, Int64} with 2 entries:
+  :a => 1
+  :b => 2
+
+julia> val = GAP.Obj(Dict(:l => GAP.Obj([1, 2])))
+GAP: rec( l := [ 1, 2 ] )
+
+julia> Dict{Symbol,Any}(val; recursive=false)
+Dict{Symbol, Any} with 1 entry:
+  :l => GAP: [ 1, 2 ]
+
+julia> Dict{Symbol,Any}(val; recursive=true)
+Dict{Symbol, Any} with 1 entry:
+  :l => Any[1, 2]
+
+julia> Dict{Symbol,Vector{Int}}(val; recursive=true)
+Dict{Symbol, Vector{Int64}} with 1 entry:
+  :l => [1, 2]
+
source
diff --git a/v0.11.1/examples/index.html b/v0.11.1/examples/index.html new file mode 100644 index 000000000..cdeae8d00 --- /dev/null +++ b/v0.11.1/examples/index.html @@ -0,0 +1,148 @@ + +Examples · GAP.jl
GitHub

Examples

Analyzing Rubik's Cube using GAP.jl

The following Julia session shows the GAP computations from the Rubik's Cube example from the GAP webpages.

We consider the group of transformations of Rubik's magic cube. If we number the faces of this cube as follows

                     +--------------+
+                     |              |
+                     |  1    2    3 |
+                     |              |
+                     |  4  top    5 |
+                     |              |
+                     |  6    7    8 |
+                     |              |
+      +--------------+--------------+--------------+--------------+
+      |              |              |              |              |
+      |  9   10   11 | 17   18   19 | 25   26   27 | 33   34   35 |
+      |              |              |              |              |
+      | 12  left  13 | 20 front  21 | 28 right  29 | 36  rear  37 |
+      |              |              |              |              |
+      | 14   15   16 | 22   23   24 | 30   31   32 | 38   39   40 |
+      |              |              |              |              |
+      +--------------+--------------+--------------+--------------+
+                     |              |
+                     | 41   42   43 |
+                     |              |
+                     | 44 bottom 45 |
+                     |              |
+                     | 46   47   48 |
+                     |              |
+                     +--------------+

then the group is generated by the following generators, corresponding to the six faces of the cube.

julia> cube = @gap("Group(
+        ( 1, 3, 8, 6)( 2, 5, 7, 4)( 9,33,25,17)(10,34,26,18)(11,35,27,19),
+        ( 9,11,16,14)(10,13,15,12)( 1,17,41,40)( 4,20,44,37)( 6,22,46,35),
+        (17,19,24,22)(18,21,23,20)( 6,25,43,16)( 7,28,42,13)( 8,30,41,11),
+        (25,27,32,30)(26,29,31,28)( 3,38,43,19)( 5,36,45,21)( 8,33,48,24),
+        (33,35,40,38)(34,37,39,36)( 3, 9,46,32)( 2,12,47,29)( 1,14,48,27),
+        (41,43,48,46)(42,45,47,44)(14,22,30,38)(15,23,31,39)(16,24,32,40) );")
+GAP: <permutation group with 6 generators>

First we want to know the size of this group.

julia> cube_size = GAP.Globals.Size(cube)
+GAP: 43252003274489856000

Since this is a little bit unhandy, let us factorize this number.

julia> cf = GAP.Globals.Collected(GAP.Globals.Factors(cube_size))
+GAP: [ [ 2, 27 ], [ 3, 14 ], [ 5, 3 ], [ 7, 2 ], [ 11, 1 ] ]

(The result tells us that the size is $2^{27} 3^{14} 5^3 7^2 11$.)

In order to convert this GAP list to Julia, we can either use gap_to_julia or a suitable Vector constructor, see Conversions. Note that the one-argument version of the former returns a vector of Any objects.

julia> GAP.gap_to_julia(cf)
+5-element Vector{Any}:
+ Any[2, 27]
+ Any[3, 14]
+ Any[5, 3]
+ Any[7, 2]
+ Any[11, 1]
+
+julia> Vector{Vector{Int}}(cf)
+5-element Vector{Vector{Int64}}:
+ [2, 27]
+ [3, 14]
+ [5, 3]
+ [7, 2]
+ [11, 1]

Next let us investigate the operation of the group on the 48 points.

julia> orbs = GAP.Globals.Orbits(cube, GAP.GapObj(1:48))
+GAP: [ [ 1, 3, 17, 14, 8, 38, 9, 41, 19, 48, 22, 6, 30, 33, 43, 11, 46, 40, 24, 27, 25, 35, 16, 32 ], [ 2, 5, 12, 7, 36, 10, 47, 4, 28, 45, 34, 13, 29, 44, 20, 42, 26, 21, 37, 15, 31, 18, 23, 39 ] ]
+
+julia> length(orbs)
+2

The first orbit contains the points at the corners, the second those at the edges; clearly the group cannot move a point at a corner onto a point at an edge.

So to investigate the cube group we first investigate the operation on the corner points. Note that the constructed group that describes this operation will operate on the set [1..24], not on the original set orbs[1].

julia> cube1 = GAP.Globals.Action(cube, orbs[1])
+GAP: <permutation group with 6 generators>
+
+julia> GAP.Globals.NrMovedPoints(cube1)
+24
+
+julia> GAP.Globals.Size(cube1)
+88179840

Now this group obviously operates transitively, but let us test whether it is also primitive.

julia> corners = GAP.Globals.Blocks(cube1, GAP.Globals.MovedPoints(cube1))
+GAP: [ [ 1, 7, 22 ], [ 2, 14, 20 ], [ 3, 12, 16 ], [ 4, 17, 18 ], [ 5, 9, 21 ], [ 6, 10, 24 ], [ 8, 11, 23 ], [ 13, 15, 19 ] ]

Those eight blocks correspond to the eight corners of the cube; on the one hand the group permutes those and on the other hand it permutes the three points at each corner cyclically.

julia> blockhom1 = GAP.Globals.ActionHomomorphism(cube1, corners, GAP.Globals.OnSets)
+GAP: <action homomorphism>
+
+julia> cube1b = GAP.Globals.Image(blockhom1)
+GAP: Group([ (1,2,4,3), (1,3,6,5), (1,5,8,2), (3,4,7,6), (5,6,7,8), (2,8,7,4) ])
+
+julia> GAP.Globals.Size(cube1b)
+40320

Now a permutation group of degree 8 that has order 40320 must be the full symmetric group Sym(8) on eight points.

The next thing then is to investigate the kernel of this operation on blocks, i.e., the subgroup of cube1 of those elements that fix the blocks setwise.

julia> ker1 = GAP.Globals.Kernel(blockhom1)
+GAP: <permutation group with 7 generators>
+
+julia> println(Vector{Int}(GAP.Globals.Factors(GAP.Globals.Size(ker1))))
+[3, 3, 3, 3, 3, 3, 3]
+
+julia> GAP.Globals.IsElementaryAbelian(ker1)
+true

We can show that the product of this elementary abelian group $3^7$ with the Sym(8) is semidirect by finding a complement, i.e., a subgroup that has trivial intersection with the kernel and that generates cube1 together with the kernel.

julia> cmpl1 = GAP.Globals.ComplementClassesRepresentatives(cube1, ker1)
+GAP: [ <permutation group of size 40320 with 7 generators> ]
+
+julia> cmpl1 = cmpl1[1]; GAP.Globals.Size(cmpl1)
+40320

We verify the complement properties:

julia> GAP.Globals.Size(GAP.Globals.Intersection(cmpl1, ker1))
+1
+
+julia> GAP.Globals.ClosureGroup(cmpl1, ker1) == cube1
+true

There is even a more elegant way to show that cmpl1 is a complement.

julia> GAP.Globals.IsBijective(GAP.Globals.RestrictedMapping(blockhom1, cmpl1))
+true

Of course, theoretically it is clear that cmpl1 must indeed be a complement.

In fact we know that cube1 is a subgroup of index 3 in the wreath product of a cyclic 3 with Sym(8). This missing index 3 tells us that we do not have total freedom in turning the corners. The following tests show that whenever we turn one corner clockwise we must turn another corner counterclockwise.

julia> @gap("(1, 7, 22)") in cube1
+false
+
+julia> @gap("(1, 7, 22)(2, 20, 14)") in cube1
+true

More or less the same things happen when we consider the operation of the cube group on the edges.

julia> cube2 = GAP.Globals.Action(cube, orbs[2]); GAP.Globals.Size(cube2)
+980995276800
+
+julia> edges = GAP.Globals.Blocks(cube2, GAP.Globals.MovedPoints(cube2))
+GAP: [ [ 1, 11 ], [ 2, 17 ], [ 3, 19 ], [ 4, 22 ], [ 5, 13 ], [ 6, 8 ], [ 7, 24 ], [ 9, 18 ], [ 10, 21 ], [ 12, 15 ], [ 14, 20 ], [ 16, 23 ] ]
+
+julia> blockhom2 = GAP.Globals.ActionHomomorphism(cube2, edges, GAP.Globals.OnSets);
+
+julia> cube2b = GAP.Globals.Image(blockhom2); GAP.Globals.Size(cube2b)
+479001600
+
+julia> ker2 = GAP.Globals.Kernel(blockhom2)
+GAP: <permutation group with 11 generators>
+
+julia> GAP.Globals.Factors(GAP.Globals.Size(ker2))
+GAP: [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
+
+julia> GAP.Globals.IsElementaryAbelian(ker2)
+true
+
+julia> cmpl2 = GAP.Globals.ComplementClassesRepresentatives(cube2, ker2); length(cmpl2)
+4

So there are even 4 classes of complements here. This time we get a semidirect product of a $2^11$ with an Sym(12), namely a subgroup of index 2 of the wreath product of a cyclic 2 with Sym(12). Here the missing index 2 tells us again that we do not have total freedom in turning the edges. The following tests show that whenever we flip one edge we must also flip another edge.

julia> @gap("(1, 11)") in cube2
+false
+
+julia> @gap("(1, 11)(2, 17)") in cube2
+true

Since cube1 and cube2 are the groups describing the actions on the two orbits of cube, it is clear that cube is a subdirect product of those groups, i.e., a subgroup of the direct product. Comparing the sizes of cube1, cube2, and cube we see that cube must be a subgroup of index 2 in the direct product of those two groups.

julia> BigInt(GAP.Globals.Size(cube1)) * BigInt(GAP.Globals.Size(cube2))
+86504006548979712000
+
+julia> GAP.Globals.Size(cube)
+GAP: 43252003274489856000

(Note that both GAP.Globals.Size(cube1) and GAP.Globals.Size(cube2) have the Julia type Int64, and forming their product yields an overflow. In order to obtain the correct value we have created arbitrary precision integers for the two values before multiplying them.)

This final missing index 2 tells us that we cannot operate on corners and edges totally independently. The following tests show that whenever we exchange a pair of corners we must also exchange a pair of edges (and vice versa).

julia> @gap("(17, 19)(11, 8)(6, 25)") in cube
+false
+
+julia> @gap("(7, 28)(18, 21)") in cube
+false
+
+julia> @gap("(17, 19)(11, 8)(6, 25)(7, 28)(18, 21)") in cube
+true

As a last part of the structure analysis of the cube group let us compute the centre of the cube group, i.e., the subgroup of those operations that can be performed either before or after any other operation with the same result.

julia> z = GAP.Globals.Centre(cube)
+GAP: Group([ (2,34)(4,10)(5,26)(7,18)(12,37)(13,20)(15,44)(21,28)(23,42)(29,36)(31,45)(39,47) ])

We see that the centre contains one nontrivial element, namely the operation that flips all 12 edges simultaneously.

Finally we turn to the original idea connected with the cube, namely to find a sequence of turns of the faces that will transform the cube back into its original state. This amounts to a decomposition of a given element of the cube group into a product of the generators. For this purpose we introduce a free group and a homomorphism of it onto the cube group.

julia> f = GAP.Globals.FreeGroup(GAP.GapObj(["t", "l", "f", "r", "e", "b"], recursive =  true))
+GAP: <free group on the generators [ t, l, f, r, e, b ]>
+
+julia> fhom = GAP.Globals.GroupHomomorphismByImages(f, cube)
+GAP: [ t, l, f, r, e, b ] -> [ (1,3,8,6)(2,5,7,4)(9,33,25,17)(10,34,26,18)(11,35,27,19), (1,17,41,40)(4,20,44,37)(6,22,46,35)(9,11,16,14)(10,13,15,12), (6,25,43,16)(7,28,42,13)(8,30,41,11)(17,19,24,22)(18,21,23,20), (3,38,43,19)(5,36,45,21)(8,33,48,24)(25,27,32,30)(26,29,31,28), (1,14,48,27)(2,12,47,29)(3,9,46,32)(33,35,40,38)(34,37,39,36), (14,22,30,38)(15,23,31,39)(16,24,32,40)(41,43,48,46)(42,45,47,44) ]

Using this homomorphism, we can now decompose elements into generators. The method used utilizes a stabilizer chain and does not enumerate all group elements, therefore the words obtained are not the shortest possible, though they are short enough for hand solutions.

The computed decompositions may be different in different sessions, because they involve the computation of pseudo random elements. Therefore the results shown in the following may look different in actual Julia sessions.

First we decompose the nonidentity centre element:

julia> zgen = GAP.Globals.GeneratorsOfGroup(z)[1]
+GAP: (2,34)(4,10)(5,26)(7,18)(12,37)(13,20)(15,44)(21,28)(23,42)(29,36)(31,45)(39,47)
+
+julia> pre1 = GAP.Globals.PreImagesRepresentative(fhom, zgen)
+GAP: t^-1*l*t*l^-1*e^-1*t*f^-1*e*l*f*(t^-1*l^-1)^2*t*l*f*t*r*t^-1*r^-1*f^-1*l^-1*e^-1*t^-1*e*t*l*t*f*t*r*t^-1*r^-1*f^-1*t^-2*f*t^-1*f^-1*t^2*e*l^-1*e^-1*t^-1*l*t*l*f*t^-1*f^-1*l^-1*t*l*t^2*l^-1*t^-1*l*t^-1*l^-1*t^2*f^-1*l^-1*t^-1*l*t*f*t*l^-1*t*l*f^-1*l*f*l^-1*t^-2*l^-1*f^-1*l*f*l*t*e^-1*t*e*l*t*l^-1*e*l*e^-1*t^-1*f*l*f*l^-1*f^-1*t^-2*f^-1*t*l^-1*f*t^-2*f^-2*b*r^-1*b^-1*t^-2*e^-1*r^-2*e*t^-1*r*b*e^-1*b^-1*l^-1*r^-2*t^-2*l^-1*b^-1*r^-1*e^-1
+
+julia> length(pre1)
+134

Next we decompose some element arbitrarily chosen by us:

julia> pre2 = GAP.Globals.PreImagesRepresentative(fhom, @gap("(17, 19)(11, 8)(6, 25)(7, 28)(18, 21)"))
+GAP: l^-1*t^-1*l*f*r*t*r^-1*f^-1*l*t*f*t^-1*f^-1*l^-1*t^2*f*t*l*t*l^-1*f^-1*l*t^-1*l^-1*f*t^-1*f^-1*l*t*l^-1*t*l*t^-2*l^-1*f*(t*r*t^-1*r^-1)^2*f^-1*t*l*f^-1*l^-1*f*l^-1*t^-1*l*t^-2*f*t*(f^-1*l^-1)^2*l^-1*f*l*e^-1*t*e*l*t^-1*e^-1*t^-1*e*l*b*f^-1*b^-1
+
+julia> length(pre2)
+77

Last we let GAP choose a random element ...

julia> r = GAP.Globals.Random(cube)
+GAP: (1,6,9,17,35,11)(2,13,29,42,4,34,20,36,23,10)(3,22,14,8,38,24,27,16,40,19,32,43,33,41,46,25,48,30)(5,39,28,37,18,31,44,26,47,21,12,7,45,15)
+
+julia> pre3 = GAP.Globals.PreImagesRepresentative(fhom, r)
+GAP: r*e^-1*t^-1*e^-1*r^-2*e*f*t^2*b^-1*e^-1*b*l*f^-1*r*t^-1*r^-1*l*b*f^-2*b^-1*f^-1*l*f*t^-1*l^-1*f^-1*l^-1*f*e*l^-1*e^-1*l^-2*t^-1*l*f^-1*l^-1*f*l^-1*t^-1*l^2*f*t*f^-1*(t^-1*l^-1)^3*e*l*e^-1*t*l*t^-1*l*t^2*l^-1*t^-1*l*t^-1*l^-1*f*t*f^-1*l*t*l^-1*f*l*t^-1*l^-1*t^-1*f^-1*t^-1*f*r*t*r^-1*t^-1*f^-1*t^-1*l^-1*t^-1*e^-1*t*e*l*f*r*t*r^-1*t^-1*f^-1*l^-1*t^-1*(l*t)^2*f^-1*l^-1*e^-1*f*t^-1*e*l*t^-1*l^-1*t
+
+julia> length(pre3)
+116

... and we verify that the decomposition is correct:

julia> GAP.Globals.Image(fhom, pre3) == r
+true

This concludes our example.

diff --git a/v0.11.1/index.html b/v0.11.1/index.html new file mode 100644 index 000000000..bca51f323 --- /dev/null +++ b/v0.11.1/index.html @@ -0,0 +1,2 @@ + +GAP.jl · GAP.jl
GitHub

GAP.jl

Introduction

GAP.jl is a low level interface from Julia to the computer algebra system GAP. The term "low level" means that the aim is to give Julia access to all GAP objects, to let Julia call GAP functions, and to provide conversions of low level data (integers, Booleans, strings, arrays/lists, dictionaries/records) between the two systems.

In particular, it is not the aim of GAP.jl to provide Julia types for higher level GAP objects that represent algebraic structures, such as groups, rings, fields, etc., and mappings between such structures.

The connection between GAP and Julia is in fact bidirectional, that is, GAP can access all Julia objects, call Julia functions, and perform conversions of low level data. This direction will become interesting on the Julia side as soon as GAP packages provide functionality that is based on using Julia code from the GAP side.

The viewpoint of an interface from GAP to Julia is described in the manual of the GAP package JuliaInterface.

Table of contents

diff --git a/v0.11.1/internal/index.html b/v0.11.1/internal/index.html new file mode 100644 index 000000000..c58ecaf40 --- /dev/null +++ b/v0.11.1/internal/index.html @@ -0,0 +1,7 @@ + +Internal · GAP.jl
GitHub

Internal

GAP.get_symbols_in_module — Function
get_symbols_in_module(m::Module) :: Vector{Symbol}

Return all symbols in the module m. This is used in a GAP method for RecNames.

source
GAP.GAP — Module

GAP.jl is the Julia interface to the GAP-System.

For the package manual see https://oscar-system.github.io/GAP.jl/.

For more information about GAP see https://www.gap-system.org/.

source
GAP.RecDict — Type
RecDict

An internal type of GAP.jl used for tracking conversion results in gap_to_julia.

source
GAP.kwarg_wrapper — Function
kwarg_wrapper(func, args::Vector{T1}, kwargs::Dict{Symbol,T2}) where {T1, T2}

Call the function func with arguments args and keyword arguments given by the keys and values of kwargs.

This function is used on the GAP side, in calls of Julia functions that require keyword arguments. Note that jl_call and Core._apply do not support keyword arguments.

Examples

julia> range(2, length = 5, step = 2)
+2:2:10
+
+julia> GAP.kwarg_wrapper(range, [2], Dict(:length => 5, :step => 2))
+2:2:10
+
source
diff --git a/v0.11.1/manualindex/index.html b/v0.11.1/manualindex/index.html new file mode 100644 index 000000000..201d5d423 --- /dev/null +++ b/v0.11.1/manualindex/index.html @@ -0,0 +1,2 @@ + +Index · GAP.jl diff --git a/v0.11.1/objects.inv b/v0.11.1/objects.inv new file mode 100644 index 0000000000000000000000000000000000000000..e58c795bf7ee79a2dcf6d63d4ee79ce4d1cb0ece GIT binary patch literal 1151 zcmV-_1c3V^AX9K?X>NERX>N99Zgg*Qc_4OWa&u{KZXhxWBOp+6Z)#;@bUGkMK~OGg zYziYFR%LQ?X>V>iATTa5F)lF*BOp|0Wgv28ZDDC{WMy(7Z)PBLXlZjGW@&6?AZc?T zV{dJ6a%FRKWn>_Ab7^j8AbM(5lSj8?!F^oEgF53&y@)-Jd_{ zDCJfO>z}li6}zV2NSN|P)>fI)2OX>{wjRE1RB`dlb2%dHZ7a6nCC^ovG(_N}uw+ifJ@cv0ywZ*N<%o9-)8rIU5ZwGZoUD|Xj?MFlS#uGO?Ao*BXL6Fu@& z%h+sVNZ85JwE<|JN{t>Ler1GUX3Kg+)K>Ng7)Mm7Qpr-tm}k6#XeNAZ<^cAftcOOA z`$|q6x@HkQ)hniYonZAV>UC|5_F7A{P_^1*jd1-4jFY+>syNvFIuhpkFl4ilUkM?t zg~5pbZnWa@wl+nKGjhUXz%#-##N$jwSJ2)4zex1Zr0V%M8?T#G#tm`L^<|i$4-?n3 z%TII81B!JQFvKvz^pb+gT318COdW5e+nLP9Tlj|K*qJWHcb4DdVjUL)F6MKM1bF8w zU?3edK;_g79vC+*7`&@{w|rB1e(aknSwhd#$DrO)_s8qPu|(afo|M5pkqGW zsFOEul~zKz|0jZ;?I!{N)ynhlPF4@R%q4r$pB*e9cDy0hrbb|m-8+p!b$rQr^;+`^ zVFgYh8@h(aXCHs>0daf%*UkO;waQ_t1I+S;YfuWJwoTbCtMQT{zFfL??T>NZ^dp&- zE`^+{+ElW3`(NhKGsv^ci=iI-A~kv;>OP*{cR3^gCYC5|qROOzjjZLwWvp`I|4WHb z<+>E8Ea6NE)~1Qp`%drY+6eAs(&>Lf?+J%4aVE*zVer6nF%H+%vM?{p^py98 z!#KVLGKae{1d1gP1hw?Bsq~T#=;j}imUUPMiyG+JzROVicHH_CxI9H(yLc9^qCHIK ziOHD4+Q}d*1opn51lKxwRc@ES2#MV?7$}R%g=GG~@q{nQ56PZid7US?Zy?M?F(LZ) z_QvD$@5EEwp4ib=n6qMBH)6*_qfx_7wo+ybQtTn#wpoXXyA7EfEx&0dqLwISREM2* zV~Wkat#G<={gf>2m=Wf%U}!in6!cggjW2o9y#Oa138;_}bXD|`#Wc7J>fExz%q6=>W)rE;Oa0LY3u zO6vAMz(SXn-~aCM@0TQZu*cKJ$;EAXK#g|dJ6`%>AvRUUUHIL4kYe(r9`A{PQ{iA~ R9p1Co$_1Z|{{YR+KhZ +Other stuff · GAP.jl
GitHub

Other stuff

Macros

GAP.@gap — Macro
@gap <expr>
+@gap(<expr>)

Execute <expr> directly in GAP, as if GAP.evalstr("<expr>") was called. This can be used for creating GAP literals directly from Julia.

Examples

julia> @gap [1,2,3]
+GAP: [ 1, 2, 3 ]
+
+julia> @gap SymmetricGroup(3)
+GAP: Sym( [ 1 .. 3 ] )
+
+julia> @gap(SymmetricGroup)(3)
+GAP: Sym( [ 1 .. 3 ] )
+

Note that the last two examples have a slight syntactical, and therefore also a semantical difference. The first one executes the string SymmetricGroup(3) directly inside GAP. The second example returns the function SymmetricGroup via @gap(SymmetricGroup), then calls that function with the argument 3.

Due to Julia's way of handing over arguments into the code of macros, not all expressions representing valid GAP code can be processed. For example, the GAP syntax of permutations consisting of more than one cycle cause problems, as well as the GAP syntax of non-dense lists.

julia> @gap (1,2,3)
+GAP: (1,2,3)
+
+julia> @gap (1,2)(3,4)
+ERROR: LoadError: Error thrown by GAP: Error, no method found! For debugging hints type ?Recovery from NoMethodFound
+[...]
+
+julia> @gap [ 1,, 2 ]
+ERROR: syntax: unexpected ","
+[...]
+

Note also that a string argument gets evaluated with GAP.evalstr.

julia> @gap "\"abc\""
+GAP: "abc"
+
+julia> @gap "[1,,2]"
+GAP: [ 1,, 2 ]
+
+julia> @gap "(1,2)(3,4)"
+GAP: (1,2)(3,4)
+
source
GAP.@g_str — Macro
@g_str

Create a GAP string by typing g"content".

Examples

julia> g"foo"
+GAP: "foo"
+
+julia> g"ab\ncd\"ef\\gh"   # special characters are handled as in GAP
+GAP: "ab\ncd\"ef\\gh"
+

Due to Julia's way of handing over arguments into the code of macros, not all strings representing valid GAP strings can be processed.

julia> g"\\"
+ERROR: Error thrown by GAP: Syntax error: String must end with " before end of file in stream:1
+[...]
+

Conversely, there are valid arguments for the macro that are not valid Julia strings.

julia> g"\c"
+GAP: "\c"
+
source
GAP.@gapwrap — Macro
@gapwrap

When applied to a method definition that involves access to entries of GAP.Globals, this macro rewrites the code such that the relevant GAP globals are cached, and need not be fetched again and again.

Examples

julia> @gapwrap isevenint(x) = GAP.Globals.IsEvenInt(x)::Bool;
+
+julia> isevenint(1)
+false
+
+julia> isevenint(2)
+true
+
source
GAP.@gapattribute — Macro
@gapattribute

This macro is intended to be applied to a method definition for a unary function called attr, say, where the argument has the type T, say, the code contains exactly one call of the form GAP.Globals.Something(X), where Something is a GAP attribute such as Centre or IsSolvableGroup, and attr returns the corresponding attribute value for its argument.

The macro defines three functions attr, has_attr, and set_attr, where attr takes an argument of type T and returns what the given method definition says, has_attr takes an argument of type T and returns the result of GAP.Globals.HasSomething(X) (which is either true or false), set_attr takes an argument of type T and an object obj and calls GAP.Globals.SetSomething(X, obj).

In order to avoid runtime access via GAP.Globals.Something etc., the same modifications are applied in the construction of the three functions that are applied by @gapwrap.

The variables that are created by the macro belong to the Julia module in whose scope the macro is called.

Examples

julia> @gapattribute isstrictlysortedlist(obj::GapObj) = GAP.Globals.IsSSortedList(obj)::Bool;
+
+julia> l = GapObj([ 1, 3, 7 ]);
+
+julia> has_isstrictlysortedlist( l )
+false
+
+julia> isstrictlysortedlist( l )
+true
+
+julia> has_isstrictlysortedlist( l )
+true
+
+julia> l = GapObj([ 1, 3, 7 ]);
+
+julia> has_isstrictlysortedlist( l )
+false
+
+julia> set_isstrictlysortedlist( l, true )
+
+julia> has_isstrictlysortedlist( l )
+true
+
+julia> isstrictlysortedlist( l )
+true
+
source
GAP.@wrap — Macro
@wrap funcdecl

When applied to a function declaration of the form NAME(a::T) or NAME(a::T)::S, this macro generates a function which behaves equivalently to NAME(a::T) = GAP.Globals.NAME(a) resp. NAME(a::T) = GAP.Globals.NAME(a)::S, assuming that GAP.Globals.NAME references a GAP function. Function declarations with more than one argument or zero arguments are also supported.

However, the generated function actually caches the GAP object GAP.Globals.NAME. This minimizes the call overhead. So @wrap typically is used to provide an optimized way to call certain GAP functions.

If an argument is annotated as ::GapObj (respectively ::GAP.Obj or ::GapInt), the resulting function accepts arguments of any type and attempts to convert them to GapObj (respectively GAP.Obj or GapInt) before passing them to the GAP function.

Another use case for this macro is to improve type stability of code calling into GAP, via the type annotations for the arguments and return value contained in the function declaration.

Be advised, though, that if the value of GAP.Globals.NAME is changed later on, the function generated by this macro will not be updated, i.e., it will still reference the original GAP object.

Examples

julia> GAP.@wrap IsString(x::GapObj)::Bool
+IsString (generic function with 1 method)
+
+julia> IsString("abc")
+true
+
+julia> GAP.@wrap Jacobi(x::GapInt, y::GapInt)::Int
+Jacobi (generic function with 1 method)
+
+julia> Jacobi(11,35)
+1
+
+julia> Jacobi(big(35)^100+11, 35)
+1
source

Convenience adapters

This section describes how one can manipulate GAP objects from the Julia side, using Julia syntax features.

In particular, the following is available on the Julia side in order to support special GAP syntax beyond function calls with arguments.

  • Call functions with global options via call_gap_func or using Julia's keyword argument syntax. For example, Cyc(1.41421356 : bits:=20) in GAP translates to GAP.Globals.Cyc(GAP.Obj(1.41421356); bits=20) in Julia.

  • Access list/matrix entries via getindex and setindex! respectively the corresponding Julia syntax (described there).

  • Access record components via getproperty and setproperty! respectively the corresponding Julia syntax (described there).

  • Check for bound record components via hasproperty.

  • Access entries of a positional object via getbangindex, equivalent to GAP's ![] operator.

  • Access components of a component object via getbangproperty, equivalent to GAP's !. operator.

GAP.call_gap_func — Function
call_gap_func(func::GapObj, args...; kwargs...)

Call the GAP object func as a function, with arguments args... and global GAP options kwargs..., and return the result if there is one, and nothing otherwise.

There is no argument number checking here, all checks on the arguments are done by GAP itself.

For convenience, one can use the syntax func(args...; kwargs...).

Examples

julia> GAP.Globals.Factors( 12 )
+GAP: [ 2, 2, 3 ]
+
+julia> GAP.Globals.Cyc(GAP.Obj(1.41421356))
+GAP: 35355339/25000000
+
+julia> GAP.Globals.Cyc(GAP.Obj(1.41421356); bits=20)
+GAP: E(8)-E(8)^3
source
GAP.call_with_catch — Function
call_with_catch(juliafunc, arguments)

Return a tuple (ok, val) where ok is either true, meaning that calling the function juliafunc with arguments returns the value val, or false, meaning that the function call runs into an error; in the latter case, val is set to the string of the error message.

Examples

julia> GAP.call_with_catch(sqrt, 2)
+(true, 1.4142135623730951)
+
+julia> flag, res = GAP.call_with_catch(sqrt, -2);
+
+julia> flag
+false
+
+julia> startswith(res, "DomainError")
+true
+
source
Base.getindex — Function
getindex(x::GapObj, i::Int64)
+getindex(x::GapObj, i::Int64, j::Int64)
+getindex(x::GapObj, l::Union{Vector{T},AbstractRange{T}}) where {T<:Integer}

Return the entry at position i or at position (i,j) in x, or the list of entries in x at the positions described by l, provided that x is a GAP object supporting this, such as a GAP list or matrix object.

Examples

julia> l = GapObj([ 1, 2, 3, 5, 8, 13 ])
+GAP: [ 1, 2, 3, 5, 8, 13 ]
+
+julia> l[4]
+5
+
+julia> l[end]
+13
+
+julia> l[2:4]
+GAP: [ 2, 3, 5 ]
+
+julia> l[[1,4,4]]
+GAP: [ 1, 5, 5 ]
+
+julia> m = GapObj([ 1 2 ; 3 4 ])
+GAP: [ [ 1, 2 ], [ 3, 4 ] ]
+
+julia> m[1,1]
+1
+
+julia> m[1,2]
+2
+
+julia> m[2,1]
+3
source
Base.setindex! — Function
setindex!(x::GapObj, v::Any, i::Int64)
+setindex!(x::GapObj, v::Any, i::Int64, j::Int64)
+setindex!(x::GapObj, v::Any, l::Union{Vector{T},AbstractRange{T}}) where {T<:Integer}

Set the entry at position i or (i,j) in x to v, or set the entries at the positions in x that are described by l to the entries in v, provided that x is a GAP object supporting this, such as a GAP list or matrix object.

Examples

julia> l = GapObj([ 1, 2, 3, 5, 8, 13 ])
+GAP: [ 1, 2, 3, 5, 8, 13 ]
+
+julia> l[1] = 0
+0
+
+julia> l[8] = -1
+-1
+
+julia> l[2:4] = [ 7, 7, 7 ]
+3-element Vector{Int64}:
+ 7
+ 7
+ 7
+
+julia> l
+GAP: [ 0, 7, 7, 7, 8, 13,, -1 ]
+
+julia> m = GapObj([ 1 2 ; 3 4 ])
+GAP: [ [ 1, 2 ], [ 3, 4 ] ]
+
+julia> m[1,2] = 0
+0
+
+julia> m
+GAP: [ [ 1, 0 ], [ 3, 4 ] ]
source
GAP.getbangindex — Function
getbangindex(x::GapObj, i::Int64)

Return the entry at position i in the positional object x.

Examples

julia> x = GAP.Globals.ZmodnZObj(1, 6)
+GAP: ZmodnZObj( 1, 6 )
+
+julia> GAP.Globals.IsPositionalObjectRep(x)
+true
+
+julia> getbangindex(x, 1)
+1
source
GAP.hasbangindex — Function
hasbangindex(x::GapObj, i::Int64)

Return whether the entry at position i exists in the positional object x.

Examples

julia> x = GAP.Globals.ZmodnZObj(1, 6)
+GAP: ZmodnZObj( 1, 6 )
+
+julia> GAP.Globals.IsPositionalObjectRep(x)
+true
+
+julia> hasbangindex(x, 1)
+true
+
+julia> hasbangindex(x, 2)
+false
source
GAP.setbangindex! — Function
setbangindex!(x::GapObj, v::Any, i::Int64)

Set the entry at position i in the positional object x to v, and return x.

Examples

julia> x = GAP.Globals.ZmodnZObj(1, 6)
+GAP: ZmodnZObj( 1, 6 )
+
+julia> GAP.Globals.IsPositionalObjectRep(x)
+true
+
+julia> setbangindex!(x, 0, 1)
+GAP: ZmodnZObj( 0, 6 )
source
Base.getproperty — Function
getproperty(x::GapObj, f::Symbol)
+getproperty(x::GapObj, f::Union{AbstractString,Int64})

Return the record component of the GAP record x that is described by f.

Examples

julia> r = GapObj(Dict(:a => 1))
+GAP: rec( a := 1 )
+
+julia> r.a
+1
source
Base.setproperty! — Function
setproperty!(x::GapObj, f::Symbol, v)
+setproperty!(x::GapObj, f::Union{AbstractString,Int64}, v)

Set the record component of the GAP record x that is described by f to the value v.

Examples

julia> r = GapObj(Dict(:a => 1))
+GAP: rec( a := 1 )
+
+julia> r.b = 0
+0
+
+julia> r
+GAP: rec( a := 1, b := 0 )
source
Base.hasproperty — Function
hasproperty(x::GapObj, f::Symbol)
+hasproperty(x::GapObj, f::Union{AbstractString,Int64})

Return true if the GAP record x has a component that is described by f, and false otherwise.

Examples

julia> r = GapObj(Dict(:a => 1))
+GAP: rec( a := 1 )
+
+julia> hasproperty( r, :a )
+true
+
+julia> hasproperty( r, :b )
+false
+
+julia> r.b = 2
+2
+
+julia> hasproperty( r, :b )
+true
+
+julia> r
+GAP: rec( a := 1, b := 2 )
source
GAP.getbangproperty — Function
getbangproperty(x::GapObj, f::Union{AbstractString,Int64,Symbol})

Return the value of the component f in the component object x.

Examples

julia> x = GAP.Globals.Iterator(GAP.Globals.Integers)
+GAP: <iterator of Integers at 0>
+
+julia> GAP.Globals.IsComponentObjectRep(x)
+true
+
+julia> getbangproperty(x, :counter)
+0
source
GAP.hasbangproperty — Function
hasbangproperty(x::GapObj, f::Union{AbstractString,Int64,Symbol})

Return whether the component object x has the component f.

Examples

julia> x = GAP.Globals.Iterator(GAP.Globals.Integers)
+GAP: <iterator of Integers at 0>
+
+julia> GAP.Globals.IsComponentObjectRep(x)
+true
+
+julia> hasbangproperty(x, :counter)
+true
+
+julia> hasbangproperty(x, :x)
+false
source
GAP.setbangproperty! — Function
setbangproperty!(x::GapObj, f::Union{AbstractString,Int64,Symbol}, v)

Set the value of the component f in the component object x to v, and return x.

Examples

julia> x = GAP.Globals.Iterator(GAP.Globals.Integers)
+GAP: <iterator of Integers at 0>
+
+julia> GAP.Globals.IsComponentObjectRep(x)
+true
+
+julia> setbangproperty!(x, :counter, 3)
+GAP: <iterator of Integers at -1>
+
+julia> getbangproperty(x, :counter)
+3
source
GAP.wrap_rng — Function
wrap_rng(rng::Random.AbstractRNG)

Return a GAP object in the filter IsRandomSource that uses rng in calls to GAP's Random function. The idea is that GAP's Random methods for high level objects will just hand over the given random source to subfunctions until Random gets called for a list or the bounds of a range, and then Base.rand gets called with rng.

Examples

julia> rng1 = Random.default_rng();
+
+julia> rng2 = copy(rng1);
+
+julia> rng1 == rng2
+true
+
+julia> rng1 === rng2
+false
+
+julia> gap_rng1 = GAP.wrap_rng(rng1)
+GAP: <RandomSource in IsRandomSourceJulia>
+
+julia> gap_rng2 = GAP.wrap_rng(rng2)
+GAP: <RandomSource in IsRandomSourceJulia>
+
+julia> res1 = GAP.Globals.Random(gap_rng1, 1, 10);
+
+julia> rng1 == rng2   # the two rngs have diverged
+false
+
+julia> res1 == GAP.Globals.Random(gap_rng2, GapObj(1:10))
+true
+
+julia> rng1 == rng2   # now the two rngs are again in sync
+true
+
+julia> g = GAP.Globals.SymmetricGroup(10);
+
+julia> p = GAP.Globals.Random(gap_rng1, g);
+
+julia> p in g
+true
+
+julia> GAP.Globals.Random(gap_rng1, GAP.Globals.GF(2)^10)
+GAP: <a GF2 vector of length 10>
source
GAP.randseed! — Function
GAP.randseed!([seed::Integer])

Reseed GAP's global RNG with seed.

The given seed must be a non-negative integer. When seed is not specified, a random seed is generated from Julia's global RNG.

For a fixed seed, the stream of generated numbers is allowed to change between different versions of GAP.

source

For the following Julia functions, methods are provided that deal with the case that the arguments are GAP objects; they delegate to the corresponding GAP operations.

JuliaGAP
lengthLength
in\in
zeroZeroSameMutability
oneOneSameMutability
- (unary)AdditiveInverseSameMutability
invInverseSameMutability
+SUM
- (binary)DIFF
*PROD
/QUO
\LQUO
^POW
modMOD
<LT
==EQ

The reason why four SameMutability operations are chosen in this list is as follows. In GAP, binary arithmetic operations return immutable results if and only if the two arguments are immutable. Thus it is consistent if unary arithmetic operations return a result with the same mutability as the argument. Note that GAP provides several variants of these unary operations, regarding the mutability of the result (ZeroMutable, ZeroImmutable, ZeroSameMutability, etc.), but here we have to choose one behaviour for the Julia function.

julia> l = GAP.julia_to_gap( [ 1, 3, 7, 15 ] )
+GAP: [ 1, 3, 7, 15 ]
+
+julia> m = GAP.julia_to_gap( [ 1 2; 3 4 ] )
+GAP: [ [ 1, 2 ], [ 3, 4 ] ]
+
+julia> length( l )
+4
+
+julia> length( m )  # different from Julia's behaviour
+2
+
+julia> 1 in l
+true
+
+julia> 2 in l
+false
+
+julia> zero( l )
+GAP: [ 0, 0, 0, 0 ]
+
+julia> one( m )
+GAP: [ [ 1, 0 ], [ 0, 1 ] ]
+
+julia> - l
+GAP: [ -1, -3, -7, -15 ]
+
+julia> l + 1
+GAP: [ 2, 4, 8, 16 ]
+
+julia> l + l
+GAP: [ 2, 6, 14, 30 ]
+
+julia> m + m
+GAP: [ [ 2, 4 ], [ 6, 8 ] ]
+
+julia> 1 - m
+GAP: [ [ 0, -1 ], [ -2, -3 ] ]
+
+julia> l * l
+284
+
+julia> l * m
+GAP: [ 10, 14 ]
+
+julia> m * m
+GAP: [ [ 7, 10 ], [ 15, 22 ] ]
+
+julia> 1 / m
+GAP: [ [ -2, 1 ], [ 3/2, -1/2 ] ]
+
+julia> m / 2
+GAP: [ [ 1/2, 1 ], [ 3/2, 2 ] ]
+
+julia> 2 \ m
+GAP: [ [ 1/2, 1 ], [ 3/2, 2 ] ]
+
+julia> m ^ 2
+GAP: [ [ 7, 10 ], [ 15, 22 ] ]
+
+julia> m ^ -1
+GAP: [ [ -2, 1 ], [ 3/2, -1/2 ] ]
+
+julia> mod( l, 3 )
+GAP: [ 1, 0, 1, 0 ]
+
+julia> m < 2 * m
+true
+
+julia> m^2 - 5 * m == 2 * one( m )
+true
+

Access to the GAP help system

GAP.show_gap_help — Function
show_gap_help(topic::String, onlyexact::Bool = false)

Print the information from the GAP help system about topic to the screen. If onlyexact is true then only exact matches are shown, otherwise all matches. For example, GAP.show_gap_help("Size") shows also documentation for SizeScreen and SizesPerfectGroups, whereas GAP.show_gap_help("Size", true) shows only documentation for Size.

For the variant showing all matches, one can also enter ?GAP.Globals.Size at the Julia prompt instead of calling show_gap_help.

Examples

julia> GAP.show_gap_help( "Size" )
+[...]  # more than 50 entries from GAP manuals
+
+help?> GAP.Globals.Size
+[...]  # the same
+
+julia> GAP.show_gap_help( "Size", true )
+[...]  # about 15 entries from GAP manuals
+
source
diff --git a/v0.11.1/packages/index.html b/v0.11.1/packages/index.html new file mode 100644 index 000000000..0ff0c0b30 --- /dev/null +++ b/v0.11.1/packages/index.html @@ -0,0 +1,9 @@ + +Managing GAP packages · GAP.jl
GitHub

Managing GAP packages

The following functions allow one to load/install/update/remove/locate GAP packages.

GAP.Packages.load — Function
load(spec::String, version::String = ""; install::Union{Bool, String} = false, quiet::Bool = true)

Try to load the GAP package given by spec, which can be either the name of the package or a local path where the package is installed (a directory that contains the package's PackageInfo.g file).

If version is specified then try to load a version of the package that is compatible with version, in the sense of GAP's CompareVersionNumbers function, otherwise try to load the newest installed version. Return true if this is successful, and false otherwise.

If install is set to true or to a string and (the desired version of) the required GAP package is not yet installed and spec is the package name then install is called first, in order to install the package; if no version is prescribed then the newest released version of the package will be installed. A string value of install can be the URL of an archive or repository containing a package, or the URL of a PackageInfo.g file, like the first argument of install.

The function calls GAP's LoadPackage function. If quiet is set to false then package banners are shown for all packages being loaded. The quiet value is also passed on to install.

source
GAP.Packages.install — Function
install(spec::String, version::String = "";
+                      interactive::Bool = true, quiet::Bool = false,
+                      debug::Bool = false,
+                      pkgdir::AbstractString = GAP.Packages.DEFAULT_PKGDIR[])

Download and install the GAP package given by spec into the pkgdir directory.

spec can be either the name of a package or the URL of an archive or repository containing a package, or the URL of a PackageInfo.g file.

If spec is the name of a package then the package version can be specified by version, in the format described for GAP's CompareVersionNumbers function. In all other cases the newest released version of the package will get installed.

Return true if the installation is successful or if (a version compatible with version) of the package was already installed, and false otherwise.

The function uses the function InstallPackage from GAP's package PackageManager. The info messages shown by this function can be suppressed by passing true as the value of quiet. Specifying interactive = false will prevent PackageManager from prompting the user for input interactively. For details, please refer to its documentation.

source
GAP.Packages.update — Function
update(spec::String; interactive::Bool = true, quiet::Bool = false,
+                     debug::Bool = false,
+                     pkgdir::AbstractString = GAP.Packages.DEFAULT_PKGDIR[])

Update the GAP package given by spec that is installed in the pkgdir directory, to the latest version. Return true if a newer version was installed successfully, or if no newer version is available, and false otherwise.

spec can be either the name of a package or the URL of an archive or repository containing a package, or the URL of a PackageInfo.g file.

The function uses the function UpdatePackage from GAP's package PackageManager. The info messages shown by this function can be suppressed by passing true as the value of quiet. Specifying interactive = false will prevent PackageManager from prompting the user for input interactively. For details, please refer to its documentation.

source
GAP.Packages.remove — Function
remove(spec::String; interactive::Bool = true, quiet::Bool = false,
+                     debug::Bool = false,
+                     pkgdir::AbstractString = GAP.Packages.DEFAULT_PKGDIR[])

Remove the GAP package with name spec that is installed in the pkgdir directory. Return true if the removal was successful, and false otherwise.

The function uses the function RemovePackage from GAP's package PackageManager. The info messages shown by this function can be suppressed by passing true as the value of quiet. Specifying interactive = false will prevent PackageManager from prompting the user for input interactively. For details, please refer to its documentation.

source
GAP.Packages.locate_package — Function
locate_package(name::String)

Return the path where the GAP package with name name is installed if this package is loaded, and "" otherwise.

source
diff --git a/v0.11.1/search_index.js b/v0.11.1/search_index.js new file mode 100644 index 000000000..69c3820b5 --- /dev/null +++ b/v0.11.1/search_index.js @@ -0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"conversion/","page":"Conversions","title":"Conversions","text":"CurrentModule = GAP\nDocTestSetup = :(using GAP)","category":"page"},{"location":"conversion/#Conversions","page":"Conversions","title":"Conversions","text":"","category":"section"},{"location":"conversion/","page":"Conversions","title":"Conversions","text":"One of the main ideas of GAP.jl is that automatic conversions of Julia objects to GAP objects and vice versa shall be avoided whenever this is possible. For a few types of objects, such conversions are unavoidable, see Automatic GAP-to-Julia and Julia-to-GAP Conversions. In all other situations, the conversions between GAP objects and corresponding Julia objects can be performed using gap_to_julia and julia_to_gap, see Explicit GAP-to-Julia and Julia-to-GAP Conversions, respectively.","category":"page"},{"location":"conversion/","page":"Conversions","title":"Conversions","text":"For convenience, also constructor methods are provided, for example Vector{Int64}(obj) can be used instead of GAP.gap_to_julia(Vector{Int64}, obj), where obj is a GAP list of integers; see Constructor Methods for GAP-to-Julia Conversions for a description of these methods. For Julia-to-GAP conversions, one can use for example GapObj(obj), where obj is a Julia object, see GapObj.","category":"page"},{"location":"conversion/#Automatic-GAP-to-Julia-and-Julia-to-GAP-Conversions","page":"Conversions","title":"Automatic GAP-to-Julia and Julia-to-GAP Conversions","text":"","category":"section"},{"location":"conversion/","page":"Conversions","title":"Conversions","text":"When one calls a GAP function with Julia objects as arguments, or a Julia function with GAP objects as arguments, the arguments are in general not automatically converted to GAP objects or Julia objects, respectively. The exceptions are as follows.","category":"page"},{"location":"conversion/","page":"Conversions","title":"Conversions","text":"GAP's immediate integers (in the range -2^60 to 2^60-1) are automatically converted to Julia's Int64 objects; Julia's Int64 objects are automatically converted to GAP's immediate integers if they fit, and to GAP's large integers otherwise.\nGAP's immediate finite field elements are automatically converted to Julia's GAP.FFE objects, and vice versa.\nGAP's true and false are automatically converted to Julia's true and false, and vice versa.","category":"page"},{"location":"conversion/#Explicit-GAP-to-Julia-and-Julia-to-GAP-Conversions","page":"Conversions","title":"Explicit GAP-to-Julia and Julia-to-GAP Conversions","text":"","category":"section"},{"location":"conversion/","page":"Conversions","title":"Conversions","text":"gap_to_julia\njulia_to_gap","category":"page"},{"location":"conversion/#GAP.gap_to_julia","page":"Conversions","title":"GAP.gap_to_julia","text":"gap_to_julia(type, x, recursion_dict::Union{Nothing,RecDict}=nothing; recursive::Bool=true)\n\nTry to convert the object x to a Julia object of type type. If x is a GapObj then the conversion rules are defined in the manual of the GAP package JuliaInterface. If x is another GAP.Obj (for example a Int64) then the result is defined in Julia by type.\n\nThe parameter recursion_dict is used to preserve the identity of converted subobjects and should never be given by the user.\n\nFor GAP lists and records, it makes sense to convert also the subobjects recursively, or to keep the subobjects as they are; the behaviour is controlled by recursive, which can be true or false.\n\nExamples\n\njulia> GAP.gap_to_julia(GapObj(1//3))\n1//3\n\njulia> GAP.gap_to_julia(GapObj(\"abc\"))\n\"abc\"\n\njulia> val = GapObj([ 1 2 ; 3 4 ])\nGAP: [ [ 1, 2 ], [ 3, 4 ] ]\n\njulia> GAP.gap_to_julia( val )\n2-element Vector{Any}:\n Any[1, 2]\n Any[3, 4]\n\njulia> GAP.gap_to_julia( val, recursive = false )\n2-element Vector{Any}:\n GAP: [ 1, 2 ]\n GAP: [ 3, 4 ]\n\njulia> GAP.gap_to_julia( Vector{GapObj}, val )\n2-element Vector{GapObj}:\n GAP: [ 1, 2 ]\n GAP: [ 3, 4 ]\n\njulia> GAP.gap_to_julia( Matrix{Int}, val )\n2×2 Matrix{Int64}:\n 1 2\n 3 4\n\nThe following gap_to_julia conversions are supported by GAP.jl. (Other Julia packages may provide conversions for more GAP objects.)\n\nGAP filter default Julia type other Julia types\nIsInt BigInt `T <: Integer\nIsFFE GapFFE \nIsBool Bool \nIsRat Rational{BigInt} `Rational{T}\nIsFloat Float64 `T <: AbstractFloat\nIsChar Cuchar Char\nIsStringRep String Symbol, Vector{T}\nIsRangeRep StepRange{Int64,Int64} Vector{T}\nIsBListRep BitVector Vector{T}\nIsList Vector{Any} Vector{T}\nIsVectorObj Vector{Any} Vector{T}\nIsMatrixObj Matrix{Any} Matrix{T}\nIsRecord Dict{Symbol, Any} Dict{Symbol, T}\n\n\n\n\n\n","category":"function"},{"location":"conversion/#GAP.julia_to_gap","page":"Conversions","title":"GAP.julia_to_gap","text":"julia_to_gap(input, recursion_dict = IdDict(); recursive::Bool = false)\n\nConvert a julia object input to an appropriate GAP object. If recursive is set to true, recursive conversions on arrays, tuples, and dictionaries is performed.\n\nThe input recursion_dict should never be set by the user, it is meant to keep egality of input data, by converting equal data to identical objects in GAP.\n\nExamples\n\njulia> GAP.julia_to_gap(1//3)\nGAP: 1/3\n\njulia> GAP.julia_to_gap(\"abc\")\nGAP: \"abc\"\n\njulia> GAP.julia_to_gap([ [1, 2], [3, 4]])\nGAP: [ , ]\n\njulia> GAP.julia_to_gap([ [1, 2], [3, 4]], recursive = true)\nGAP: [ [ 1, 2 ], [ 3, 4 ] ]\n\n\nThe following julia_to_gap conversions are supported by GAP.jl. (Other Julia packages may provide conversions for more Julia objects.)\n\nJulia type GAP filter\nInt8, Int16, ..., BigInt IsInt\nGapFFE IsFFE\nBool IsBool\nRational{T} IsRat\nFloat16, Float32, Float64 IsFloat\nAbstractString IsString\nSymbol IsString\nChar IsChar\nVector{T} IsList\nVector{Bool}, BitVector IsBList\nTuple{T} IsList\nMatrix{T} IsList\nDict{String, T}, Dict{Symbol, T} IsRecord\nUnitRange{T}, StepRange{T, S} IsRange\nFunction IsFunction\n\n\n\n\n\n","category":"function"},{"location":"conversion/#Constructor-Methods-for-GAP-to-Julia-Conversions","page":"Conversions","title":"Constructor Methods for GAP-to-Julia Conversions","text":"","category":"section"},{"location":"conversion/","page":"Conversions","title":"Conversions","text":"(For Julia-to-GAP conversions, one can use GapObj and GAP.Obj as constructors.)","category":"page"},{"location":"conversion/","page":"Conversions","title":"Conversions","text":"Int128\nBigInt\nRational\nFloat64\nChar\nCuchar\nString\nSymbol\nUnitRange\nStepRange\nTuple\nBitVector\nVector{T}\nMatrix{T}\nSet{T}\nDict{Symbol,T}","category":"page"},{"location":"conversion/#Core.Int128","page":"Conversions","title":"Core.Int128","text":"Int128(obj::GapObj)\n\nReturn the Int128 converted from the GAP integer obj. (Note that small GAP integers are represented by Julia Int64 objects, in particular they are not GapObjs; their conversion is not handled by methods installed in GAP.jl.)\n\nExamples\n\njulia> val = GAP.Globals.Factorial(25)\nGAP: 15511210043330985984000000\n\njulia> Int128(val)\n15511210043330985984000000\n\njulia> Int(val)\nERROR: InexactError: Int64(15511210043330985984000000)\n\n\n\n\n\n","category":"type"},{"location":"conversion/#Base.GMP.BigInt","page":"Conversions","title":"Base.GMP.BigInt","text":"BigInt(obj::GapObj)\n\nReturn the big integer converted from the GAP integer obj. (Note that small GAP integers are not represented by GapObjs, their conversion with BigInt is handled by Julia's methods.)\n\nExamples\n\njulia> val = GAP.Globals.Factorial(25)\nGAP: 15511210043330985984000000\n\njulia> BigInt(val)\n15511210043330985984000000\n\njulia> val = GAP.Globals.Factorial(10)\n3628800\n\njulia> isa(val, GapObj)\nfalse\n\njulia> BigInt(val)\n3628800\n\n\n\n\n\n\n","category":"type"},{"location":"conversion/#Base.Rational","page":"Conversions","title":"Base.Rational","text":"Rational{T}(obj::GapObj) where {T<:Integer}\n\nReturn the rational converted from the GAP integer or the GAP rational obj,\n\nExamples\n\njulia> val = GAP.Globals.Factorial(25)\nGAP: 15511210043330985984000000\n\njulia> Rational{Int128}(val)\n15511210043330985984000000//1\n\njulia> Rational{BigInt}(val)\n15511210043330985984000000//1\n\njulia> val = GAP.Obj(1//3)\nGAP: 1/3\n\njulia> Rational{Int64}(val)\n1//3\n\n\n\n\n\n\n","category":"type"},{"location":"conversion/#Core.Float64","page":"Conversions","title":"Core.Float64","text":"Float64(obj::GapObj)\n\nReturn the float converted from the GAP float obj.\n\nExamples\n\njulia> val = GAP.Obj(2.2)\nGAP: 2.2\n\njulia> Float64(val)\n2.2\n\njulia> Float32(val)\n2.2f0\n\n\n\n\n\n\n","category":"type"},{"location":"conversion/#Core.Char","page":"Conversions","title":"Core.Char","text":"Char(obj::GapObj)\n\nReturn the character converted from the GAP character obj.\n\nExamples\n\njulia> val = GAP.Obj('x')\nGAP: 'x'\n\njulia> Char(val)\n'x': ASCII/Unicode U+0078 (category Ll: Letter, lowercase)\n\n\n\n\n\n\n","category":"type"},{"location":"conversion/#Base.Cuchar","page":"Conversions","title":"Base.Cuchar","text":"Cuchar(obj::GapObj)\n\nReturn the UInt8 that belongs to the GAP character obj.\n\nExamples\n\njulia> val = GAP.Obj('x')\nGAP: 'x'\n\njulia> Cuchar(val)\n0x78\n\n\n\n\n\n\n","category":"type"},{"location":"conversion/#Core.String","page":"Conversions","title":"Core.String","text":"String(obj::GapObj)\n\nReturn the Julia string converted from the GAP string obj. Note that GAP's String function can be applied to arbitrary GAP objects, similar to Julia's string function; this behaviour is not intended for this String constructor.\n\nExamples\n\njulia> val = GAP.Obj(\"abc\")\nGAP: \"abc\"\n\njulia> String(val)\n\"abc\"\n\njulia> val = GAP.Obj([])\nGAP: [ ]\n\njulia> String(val) # an empty GAP list is a string\n\"\"\n\n\n\n\n\n\n","category":"type"},{"location":"conversion/#Core.Symbol","page":"Conversions","title":"Core.Symbol","text":"Symbol(obj::GapObj)\n\nReturn the symbol converted from the GAP string obj.\n\nExamples\n\njulia> str = GAP.Obj(\"abc\")\nGAP: \"abc\"\n\njulia> Symbol(str)\n:abc\n\n\n\n\n\n\n","category":"type"},{"location":"conversion/#Base.UnitRange","page":"Conversions","title":"Base.UnitRange","text":"UnitRange(obj::GapObj)\n\nReturn the unit range converted from the GAP range obj, which has step width 1.\n\nExamples\n\njulia> val = GAP.Obj(1:10)\nGAP: [ 1 .. 10 ]\n\njulia> UnitRange(val)\n1:10\n\njulia> UnitRange{Int32}(val)\n1:10\n\n\n\n\n\n\n","category":"type"},{"location":"conversion/#Base.StepRange","page":"Conversions","title":"Base.StepRange","text":"StepRange(obj::GapObj)\n\nReturn the step range converted from the GAP range obj, which may have arbitrary step width.\n\nExamples\n\njulia> val = GAP.Obj(1:2:11)\nGAP: [ 1, 3 .. 11 ]\n\njulia> StepRange(val)\n1:2:11\n\njulia> r = StepRange{Int8,Int8}(val)\n1:2:11\n\njulia> typeof(r)\nStepRange{Int8, Int8}\n\n\n\n\n\n\n","category":"type"},{"location":"conversion/#Core.Tuple","page":"Conversions","title":"Core.Tuple","text":"Tuple{Types...}(obj::GapObj; recursive::Bool = true)\n\nReturn the tuple converted from the GAP list obj. The entries of the list are converted to the required types Types..., using gap_to_julia. If recursive is true then the entries of the list are converted recursively, otherwise non-recursively.\n\nExamples\n\njulia> val = GAP.Obj([1, 5])\nGAP: [ 1, 5 ]\n\njulia> Tuple{Int64,Int64}(val)\n(1, 5)\n\njulia> val = GAP.Obj([[1], [2]]; recursive=true)\nGAP: [ [ 1 ], [ 2 ] ]\n\njulia> Tuple{Any,Any}(val)\n(Any[1], Any[2])\n\njulia> Tuple{GapObj,GapObj}(val; recursive=false)\n(GAP: [ 1 ], GAP: [ 2 ])\n\n\n\n\n\n\n","category":"type"},{"location":"conversion/#Base.BitVector","page":"Conversions","title":"Base.BitVector","text":"BitVector(obj::GapObj)\n\nReturn the bit vector converted from the GAP list of booleans obj.\n\nExamples\n\njulia> val = GAP.Obj([true, false, true])\nGAP: [ true, false, true ]\n\njulia> BitVector(val)\n3-element BitVector:\n 1\n 0\n 1\n\n\n\n\n\n\n","category":"type"},{"location":"conversion/#Base.Vector","page":"Conversions","title":"Base.Vector","text":"Vector{T}(obj::GapObj; recursive::Bool = true)\n\nReturn the 1-dimensional array converted from the GAP list obj. The entries of the list are converted to the type T, using gap_to_julia. If recursive is true then the entries of the list are converted recursively, otherwise non-recursively.\n\nIf T is UInt8 then obj may be a GAP string.\n\nExamples\n\njulia> val = GAP.Obj([[1], [2]]; recursive=true)\nGAP: [ [ 1 ], [ 2 ] ]\n\njulia> Vector{Any}(val)\n2-element Vector{Any}:\n Any[1]\n Any[2]\n\njulia> Vector{Any}(val; recursive=false)\n2-element Vector{Any}:\n GAP: [ 1 ]\n GAP: [ 2 ]\n\njulia> Vector{Vector{Int64}}(val)\n2-element Vector{Vector{Int64}}:\n [1]\n [2]\n\njulia> val = GAP.evalstr( \"NewVector( IsPlistVectorRep, Integers, [ 0, 2, 5 ] )\" )\nGAP: \n\njulia> Vector{Int64}(val)\n3-element Vector{Int64}:\n 0\n 2\n 5\n\njulia> val = GAP.Obj(\"abc\")\nGAP: \"abc\"\n\njulia> Vector{UInt8}(val)\n3-element Vector{UInt8}:\n 0x61\n 0x62\n 0x63\n\n\n\n\n\n\n","category":"type"},{"location":"conversion/#Base.Matrix","page":"Conversions","title":"Base.Matrix","text":"Matrix{T}(obj::GapObj; recursive::Bool = true)\n\nReturn the 2-dimensional array converted from the GAP matrix obj, which can be a GAP list of lists or a GAP matrix object. The entries of the matrix are converted to the type T, using gap_to_julia. If recursive is true then the entries are converted recursively, otherwise non-recursively.\n\nExamples\n\njulia> val = GAP.Obj([[1, 2], [3, 4]]; recursive=true)\nGAP: [ [ 1, 2 ], [ 3, 4 ] ]\n\njulia> Matrix{Int64}(val)\n2×2 Matrix{Int64}:\n 1 2\n 3 4\n\njulia> val = GAP.evalstr( \"NewMatrix( IsPlistMatrixRep, Integers, 2, [ 0, 1, 2, 3 ] )\" )\nGAP: <2x2-matrix over Integers>\n\njulia> Matrix{Int64}(val)\n2×2 Matrix{Int64}:\n 0 1\n 2 3\n\n\n\n\n\n\n","category":"type"},{"location":"conversion/#Base.Set","page":"Conversions","title":"Base.Set","text":"Set{T}(obj::GapObj; recursive::Bool = true)\n\nReturn the set converted from the GAP list or GAP collection obj. The elements of obj are converted to the required type T, using gap_to_julia. If recursive is true then the elements are converted recursively, otherwise non-recursively.\n\nThis constructor method is intended for situations where the result involves only native Julia objects such as integers and strings. Dealing with results containing GAP objects will be inefficient.\n\nExamples\n\njulia> Set{Int}(GAP.Obj([1, 2, 1]))\nSet{Int64} with 2 elements:\n 2\n 1\n\njulia> Set{Vector{Int}}(GAP.Obj([[1], [2], [1]]; recursive=true))\nSet{Vector{Int64}} with 2 elements:\n [1]\n [2]\n\njulia> Set{String}(GAP.Obj([\"a\", \"b\"]; recursive=true))\nSet{String} with 2 elements:\n \"b\"\n \"a\"\n\njulia> Set{Any}(GAP.Obj([[1], [2], [1]]; recursive=true))\nSet{Any} with 2 elements:\n Any[1]\n Any[2]\n\n\n\n\n\n","category":"type"},{"location":"conversion/#Base.Dict","page":"Conversions","title":"Base.Dict","text":"Dict{Symbol,T}(obj::GapObj; recursive::Bool = true)\n\nReturn the dictionary converted from the GAP record obj. If recursive is true then the values of the record components are recursively converted to objects of the type T, using gap_to_julia, otherwise they are kept as they are.\n\nExamples\n\njulia> val = GAP.Obj(Dict(:a => 1, :b => 2))\nGAP: rec( a := 1, b := 2 )\n\njulia> Dict{Symbol,Int}(val)\nDict{Symbol, Int64} with 2 entries:\n :a => 1\n :b => 2\n\njulia> val = GAP.Obj(Dict(:l => GAP.Obj([1, 2])))\nGAP: rec( l := [ 1, 2 ] )\n\njulia> Dict{Symbol,Any}(val; recursive=false)\nDict{Symbol, Any} with 1 entry:\n :l => GAP: [ 1, 2 ]\n\njulia> Dict{Symbol,Any}(val; recursive=true)\nDict{Symbol, Any} with 1 entry:\n :l => Any[1, 2]\n\njulia> Dict{Symbol,Vector{Int}}(val; recursive=true)\nDict{Symbol, Vector{Int64}} with 1 entry:\n :l => [1, 2]\n\n\n\n\n\n\n","category":"type"},{"location":"manualindex/#Index","page":"Index","title":"Index","text":"","category":"section"},{"location":"manualindex/","page":"Index","title":"Index","text":"","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"CurrentModule = GAP\nDocTestSetup = :(using GAP)","category":"page"},{"location":"examples/#Examples","page":"Examples","title":"Examples","text":"","category":"section"},{"location":"examples/#Analyzing-Rubik's-Cube-using-GAP.jl","page":"Examples","title":"Analyzing Rubik's Cube using GAP.jl","text":"","category":"section"},{"location":"examples/","page":"Examples","title":"Examples","text":"The following Julia session shows the GAP computations from the Rubik's Cube example from the GAP webpages.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"We consider the group of transformations of Rubik's magic cube. If we number the faces of this cube as follows","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":" +--------------+\n | |\n | 1 2 3 |\n | |\n | 4 top 5 |\n | |\n | 6 7 8 |\n | |\n +--------------+--------------+--------------+--------------+\n | | | | |\n | 9 10 11 | 17 18 19 | 25 26 27 | 33 34 35 |\n | | | | |\n | 12 left 13 | 20 front 21 | 28 right 29 | 36 rear 37 |\n | | | | |\n | 14 15 16 | 22 23 24 | 30 31 32 | 38 39 40 |\n | | | | |\n +--------------+--------------+--------------+--------------+\n | |\n | 41 42 43 |\n | |\n | 44 bottom 45 |\n | |\n | 46 47 48 |\n | |\n +--------------+","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"then the group is generated by the following generators, corresponding to the six faces of the cube.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> cube = @gap(\"Group(\n ( 1, 3, 8, 6)( 2, 5, 7, 4)( 9,33,25,17)(10,34,26,18)(11,35,27,19),\n ( 9,11,16,14)(10,13,15,12)( 1,17,41,40)( 4,20,44,37)( 6,22,46,35),\n (17,19,24,22)(18,21,23,20)( 6,25,43,16)( 7,28,42,13)( 8,30,41,11),\n (25,27,32,30)(26,29,31,28)( 3,38,43,19)( 5,36,45,21)( 8,33,48,24),\n (33,35,40,38)(34,37,39,36)( 3, 9,46,32)( 2,12,47,29)( 1,14,48,27),\n (41,43,48,46)(42,45,47,44)(14,22,30,38)(15,23,31,39)(16,24,32,40) );\")\nGAP: ","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"First we want to know the size of this group.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> cube_size = GAP.Globals.Size(cube)\nGAP: 43252003274489856000","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"Since this is a little bit unhandy, let us factorize this number.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> cf = GAP.Globals.Collected(GAP.Globals.Factors(cube_size))\nGAP: [ [ 2, 27 ], [ 3, 14 ], [ 5, 3 ], [ 7, 2 ], [ 11, 1 ] ]","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"(The result tells us that the size is 2^27 3^14 5^3 7^2 11.)","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"In order to convert this GAP list to Julia, we can either use gap_to_julia or a suitable Vector constructor, see Conversions. Note that the one-argument version of the former returns a vector of Any objects.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> GAP.gap_to_julia(cf)\n5-element Vector{Any}:\n Any[2, 27]\n Any[3, 14]\n Any[5, 3]\n Any[7, 2]\n Any[11, 1]\n\njulia> Vector{Vector{Int}}(cf)\n5-element Vector{Vector{Int64}}:\n [2, 27]\n [3, 14]\n [5, 3]\n [7, 2]\n [11, 1]","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"Next let us investigate the operation of the group on the 48 points.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> orbs = GAP.Globals.Orbits(cube, GAP.GapObj(1:48))\nGAP: [ [ 1, 3, 17, 14, 8, 38, 9, 41, 19, 48, 22, 6, 30, 33, 43, 11, 46, 40, 24, 27, 25, 35, 16, 32 ], [ 2, 5, 12, 7, 36, 10, 47, 4, 28, 45, 34, 13, 29, 44, 20, 42, 26, 21, 37, 15, 31, 18, 23, 39 ] ]\n\njulia> length(orbs)\n2","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"The first orbit contains the points at the corners, the second those at the edges; clearly the group cannot move a point at a corner onto a point at an edge.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"So to investigate the cube group we first investigate the operation on the corner points. Note that the constructed group that describes this operation will operate on the set [1..24], not on the original set orbs[1].","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> cube1 = GAP.Globals.Action(cube, orbs[1])\nGAP: \n\njulia> GAP.Globals.NrMovedPoints(cube1)\n24\n\njulia> GAP.Globals.Size(cube1)\n88179840","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"Now this group obviously operates transitively, but let us test whether it is also primitive.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> corners = GAP.Globals.Blocks(cube1, GAP.Globals.MovedPoints(cube1))\nGAP: [ [ 1, 7, 22 ], [ 2, 14, 20 ], [ 3, 12, 16 ], [ 4, 17, 18 ], [ 5, 9, 21 ], [ 6, 10, 24 ], [ 8, 11, 23 ], [ 13, 15, 19 ] ]","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"Those eight blocks correspond to the eight corners of the cube; on the one hand the group permutes those and on the other hand it permutes the three points at each corner cyclically.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> blockhom1 = GAP.Globals.ActionHomomorphism(cube1, corners, GAP.Globals.OnSets)\nGAP: \n\njulia> cube1b = GAP.Globals.Image(blockhom1)\nGAP: Group([ (1,2,4,3), (1,3,6,5), (1,5,8,2), (3,4,7,6), (5,6,7,8), (2,8,7,4) ])\n\njulia> GAP.Globals.Size(cube1b)\n40320","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"Now a permutation group of degree 8 that has order 40320 must be the full symmetric group Sym(8) on eight points.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"The next thing then is to investigate the kernel of this operation on blocks, i.e., the subgroup of cube1 of those elements that fix the blocks setwise.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> ker1 = GAP.Globals.Kernel(blockhom1)\nGAP: \n\njulia> println(Vector{Int}(GAP.Globals.Factors(GAP.Globals.Size(ker1))))\n[3, 3, 3, 3, 3, 3, 3]\n\njulia> GAP.Globals.IsElementaryAbelian(ker1)\ntrue","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"We can show that the product of this elementary abelian group 3^7 with the Sym(8) is semidirect by finding a complement, i.e., a subgroup that has trivial intersection with the kernel and that generates cube1 together with the kernel.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> cmpl1 = GAP.Globals.ComplementClassesRepresentatives(cube1, ker1)\nGAP: [ ]\n\njulia> cmpl1 = cmpl1[1]; GAP.Globals.Size(cmpl1)\n40320","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"We verify the complement properties:","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> GAP.Globals.Size(GAP.Globals.Intersection(cmpl1, ker1))\n1\n\njulia> GAP.Globals.ClosureGroup(cmpl1, ker1) == cube1\ntrue","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"There is even a more elegant way to show that cmpl1 is a complement.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> GAP.Globals.IsBijective(GAP.Globals.RestrictedMapping(blockhom1, cmpl1))\ntrue","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"Of course, theoretically it is clear that cmpl1 must indeed be a complement.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"In fact we know that cube1 is a subgroup of index 3 in the wreath product of a cyclic 3 with Sym(8). This missing index 3 tells us that we do not have total freedom in turning the corners. The following tests show that whenever we turn one corner clockwise we must turn another corner counterclockwise.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> @gap(\"(1, 7, 22)\") in cube1\nfalse\n\njulia> @gap(\"(1, 7, 22)(2, 20, 14)\") in cube1\ntrue","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"More or less the same things happen when we consider the operation of the cube group on the edges.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> cube2 = GAP.Globals.Action(cube, orbs[2]); GAP.Globals.Size(cube2)\n980995276800\n\njulia> edges = GAP.Globals.Blocks(cube2, GAP.Globals.MovedPoints(cube2))\nGAP: [ [ 1, 11 ], [ 2, 17 ], [ 3, 19 ], [ 4, 22 ], [ 5, 13 ], [ 6, 8 ], [ 7, 24 ], [ 9, 18 ], [ 10, 21 ], [ 12, 15 ], [ 14, 20 ], [ 16, 23 ] ]\n\njulia> blockhom2 = GAP.Globals.ActionHomomorphism(cube2, edges, GAP.Globals.OnSets);\n\njulia> cube2b = GAP.Globals.Image(blockhom2); GAP.Globals.Size(cube2b)\n479001600\n\njulia> ker2 = GAP.Globals.Kernel(blockhom2)\nGAP: \n\njulia> GAP.Globals.Factors(GAP.Globals.Size(ker2))\nGAP: [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]\n\njulia> GAP.Globals.IsElementaryAbelian(ker2)\ntrue\n\njulia> cmpl2 = GAP.Globals.ComplementClassesRepresentatives(cube2, ker2); length(cmpl2)\n4","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"So there are even 4 classes of complements here. This time we get a semidirect product of a 2^11 with an Sym(12), namely a subgroup of index 2 of the wreath product of a cyclic 2 with Sym(12). Here the missing index 2 tells us again that we do not have total freedom in turning the edges. The following tests show that whenever we flip one edge we must also flip another edge.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> @gap(\"(1, 11)\") in cube2\nfalse\n\njulia> @gap(\"(1, 11)(2, 17)\") in cube2\ntrue","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"Since cube1 and cube2 are the groups describing the actions on the two orbits of cube, it is clear that cube is a subdirect product of those groups, i.e., a subgroup of the direct product. Comparing the sizes of cube1, cube2, and cube we see that cube must be a subgroup of index 2 in the direct product of those two groups.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> BigInt(GAP.Globals.Size(cube1)) * BigInt(GAP.Globals.Size(cube2))\n86504006548979712000\n\njulia> GAP.Globals.Size(cube)\nGAP: 43252003274489856000","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"(Note that both GAP.Globals.Size(cube1) and GAP.Globals.Size(cube2) have the Julia type Int64, and forming their product yields an overflow. In order to obtain the correct value we have created arbitrary precision integers for the two values before multiplying them.)","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"This final missing index 2 tells us that we cannot operate on corners and edges totally independently. The following tests show that whenever we exchange a pair of corners we must also exchange a pair of edges (and vice versa).","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> @gap(\"(17, 19)(11, 8)(6, 25)\") in cube\nfalse\n\njulia> @gap(\"(7, 28)(18, 21)\") in cube\nfalse\n\njulia> @gap(\"(17, 19)(11, 8)(6, 25)(7, 28)(18, 21)\") in cube\ntrue","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"As a last part of the structure analysis of the cube group let us compute the centre of the cube group, i.e., the subgroup of those operations that can be performed either before or after any other operation with the same result.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> z = GAP.Globals.Centre(cube)\nGAP: Group([ (2,34)(4,10)(5,26)(7,18)(12,37)(13,20)(15,44)(21,28)(23,42)(29,36)(31,45)(39,47) ])","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"We see that the centre contains one nontrivial element, namely the operation that flips all 12 edges simultaneously.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"Finally we turn to the original idea connected with the cube, namely to find a sequence of turns of the faces that will transform the cube back into its original state. This amounts to a decomposition of a given element of the cube group into a product of the generators. For this purpose we introduce a free group and a homomorphism of it onto the cube group.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> f = GAP.Globals.FreeGroup(GAP.GapObj([\"t\", \"l\", \"f\", \"r\", \"e\", \"b\"], recursive = true))\nGAP: \n\njulia> fhom = GAP.Globals.GroupHomomorphismByImages(f, cube)\nGAP: [ t, l, f, r, e, b ] -> [ (1,3,8,6)(2,5,7,4)(9,33,25,17)(10,34,26,18)(11,35,27,19), (1,17,41,40)(4,20,44,37)(6,22,46,35)(9,11,16,14)(10,13,15,12), (6,25,43,16)(7,28,42,13)(8,30,41,11)(17,19,24,22)(18,21,23,20), (3,38,43,19)(5,36,45,21)(8,33,48,24)(25,27,32,30)(26,29,31,28), (1,14,48,27)(2,12,47,29)(3,9,46,32)(33,35,40,38)(34,37,39,36), (14,22,30,38)(15,23,31,39)(16,24,32,40)(41,43,48,46)(42,45,47,44) ]","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"Using this homomorphism, we can now decompose elements into generators. The method used utilizes a stabilizer chain and does not enumerate all group elements, therefore the words obtained are not the shortest possible, though they are short enough for hand solutions.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"The computed decompositions may be different in different sessions, because they involve the computation of pseudo random elements. Therefore the results shown in the following may look different in actual Julia sessions.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"First we decompose the nonidentity centre element:","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> zgen = GAP.Globals.GeneratorsOfGroup(z)[1]\nGAP: (2,34)(4,10)(5,26)(7,18)(12,37)(13,20)(15,44)(21,28)(23,42)(29,36)(31,45)(39,47)\n\njulia> pre1 = GAP.Globals.PreImagesRepresentative(fhom, zgen)\nGAP: t^-1*l*t*l^-1*e^-1*t*f^-1*e*l*f*(t^-1*l^-1)^2*t*l*f*t*r*t^-1*r^-1*f^-1*l^-1*e^-1*t^-1*e*t*l*t*f*t*r*t^-1*r^-1*f^-1*t^-2*f*t^-1*f^-1*t^2*e*l^-1*e^-1*t^-1*l*t*l*f*t^-1*f^-1*l^-1*t*l*t^2*l^-1*t^-1*l*t^-1*l^-1*t^2*f^-1*l^-1*t^-1*l*t*f*t*l^-1*t*l*f^-1*l*f*l^-1*t^-2*l^-1*f^-1*l*f*l*t*e^-1*t*e*l*t*l^-1*e*l*e^-1*t^-1*f*l*f*l^-1*f^-1*t^-2*f^-1*t*l^-1*f*t^-2*f^-2*b*r^-1*b^-1*t^-2*e^-1*r^-2*e*t^-1*r*b*e^-1*b^-1*l^-1*r^-2*t^-2*l^-1*b^-1*r^-1*e^-1\n\njulia> length(pre1)\n134","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"Next we decompose some element arbitrarily chosen by us:","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> pre2 = GAP.Globals.PreImagesRepresentative(fhom, @gap(\"(17, 19)(11, 8)(6, 25)(7, 28)(18, 21)\"))\nGAP: l^-1*t^-1*l*f*r*t*r^-1*f^-1*l*t*f*t^-1*f^-1*l^-1*t^2*f*t*l*t*l^-1*f^-1*l*t^-1*l^-1*f*t^-1*f^-1*l*t*l^-1*t*l*t^-2*l^-1*f*(t*r*t^-1*r^-1)^2*f^-1*t*l*f^-1*l^-1*f*l^-1*t^-1*l*t^-2*f*t*(f^-1*l^-1)^2*l^-1*f*l*e^-1*t*e*l*t^-1*e^-1*t^-1*e*l*b*f^-1*b^-1\n\njulia> length(pre2)\n77","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"Last we let GAP choose a random element ...","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> r = GAP.Globals.Random(cube)\nGAP: (1,6,9,17,35,11)(2,13,29,42,4,34,20,36,23,10)(3,22,14,8,38,24,27,16,40,19,32,43,33,41,46,25,48,30)(5,39,28,37,18,31,44,26,47,21,12,7,45,15)\n\njulia> pre3 = GAP.Globals.PreImagesRepresentative(fhom, r)\nGAP: r*e^-1*t^-1*e^-1*r^-2*e*f*t^2*b^-1*e^-1*b*l*f^-1*r*t^-1*r^-1*l*b*f^-2*b^-1*f^-1*l*f*t^-1*l^-1*f^-1*l^-1*f*e*l^-1*e^-1*l^-2*t^-1*l*f^-1*l^-1*f*l^-1*t^-1*l^2*f*t*f^-1*(t^-1*l^-1)^3*e*l*e^-1*t*l*t^-1*l*t^2*l^-1*t^-1*l*t^-1*l^-1*f*t*f^-1*l*t*l^-1*f*l*t^-1*l^-1*t^-1*f^-1*t^-1*f*r*t*r^-1*t^-1*f^-1*t^-1*l^-1*t^-1*e^-1*t*e*l*f*r*t*r^-1*t^-1*f^-1*l^-1*t^-1*(l*t)^2*f^-1*l^-1*e^-1*f*t^-1*e*l*t^-1*l^-1*t\n\njulia> length(pre3)\n116","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"... and we verify that the decomposition is correct:","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> GAP.Globals.Image(fhom, pre3) == r\ntrue","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"This concludes our example.","category":"page"},{"location":"basics/","page":"Basics","title":"Basics","text":"CurrentModule = GAP\nDocTestSetup = :(using GAP)","category":"page"},{"location":"basics/#Basics","page":"Basics","title":"Basics","text":"","category":"section"},{"location":"basics/#Accessing-GAP-from-Julia","page":"Basics","title":"Accessing GAP from Julia","text":"","category":"section"},{"location":"basics/","page":"Basics","title":"Basics","text":"Any global GAP variable and function can be accessed from Julia via the GAP.Globals object; for example GAP.Globals.Binomial(5,3). See Convenience adapters for dealing with GAP syntax beyond simple function calls.\nThe GAP.prompt command can be used to switch to a GAP session that works like a regular GAP, except that leaving it (via quit; or by pressing Ctrl-D) returns one to a Julia prompt. From the GAP prompt, one can access Julia variables via the Julia object, for example Julia.binomial(5,3). For more details on how to access Julia from GAP, please consult the manual of the GAP package JuliaInterface.\nAlternatively, one can start GAP in the traditional way, by executing a shell script. Such a script can be created in a location of your choice via GAP.create_gap_sh. Note that one cannot switch from such a GAP session to the underlying Julia session and back.","category":"page"},{"location":"basics/","page":"Basics","title":"Basics","text":"Globals\nevalstr\nevalstr_ex\nGAP.prompt\nGAP.create_gap_sh","category":"page"},{"location":"basics/#GAP.Globals","page":"Basics","title":"GAP.Globals","text":"Globals\n\nThis is a global object that gives access to all global variables of the current GAP session via getproperty and setproperty!.\n\nExamples\n\njulia> GAP.Globals.Size # a global GAP function\nGAP: \n\njulia> GAP.Globals.size # there is no GAP variable with this name\nERROR: GAP variable size not bound\n[...]\n\njulia> hasproperty( GAP.Globals, :size )\nfalse\n\njulia> GAP.Globals.size = 17;\n\njulia> hasproperty( GAP.Globals, :size )\ntrue\n\njulia> GAP.Globals.size\n17\n\njulia> GAP.Globals.UnbindGlobal(g\"size\")\n\njulia> GAP.Globals.Julia # Julia objects can be values of GAP variables\nMain\n\n\n\n\n\n\n","category":"constant"},{"location":"basics/#GAP.evalstr","page":"Basics","title":"GAP.evalstr","text":"evalstr(cmd::String)\n\nLet GAP execute the command(s) given by cmd; if an error occurs then report this error, otherwise if the last command has a result then return it, otherwise return nothing.\n\nExamples\n\njulia> GAP.evalstr( \"1+2\" )\n3\n\njulia> GAP.evalstr( \"x:= []\" )\nGAP: [ ]\n\njulia> GAP.evalstr( \"y:= 2; Add( x, y )\" )\n\njulia> GAP.evalstr( \"x\" )\nGAP: [ 2 ]\n\njulia> GAP.evalstr( \"Print( x )\" )\n\nNote that screen outputs caused by evaluating cmd are not shown by evalstr; use evalstr_ex for accessing both the outputs and the return values of the command(s).\n\nIn general we recommend to avoid using evalstr, but it sometimes can be a useful escape hatch to access GAP functionality that is otherwise impossible to difficult to reach. But in most typical scenarios it should not be necessary to use it at all.\n\nInstead, use GAP.GapObj or GAP.Obj for constructing GAP objects that correspond to given Julia objects, and call GAP functions directly in the Julia session. For example, executing GAP.evalstr( \"x:= []; Add( x, 2 )\" ) can be replaced by the Julia code x = GAP.GapObj([]); GAP.Globals.Add(x, 2). Note that the variable x in the former example lives in the GAP session, i.e., it can be accessed as GAP.Globals.x after the call of GAP.evalstr, whereas x in the latter example lives in the Julia session.\n\n\n\n\n\n","category":"function"},{"location":"basics/#GAP.evalstr_ex","page":"Basics","title":"GAP.evalstr_ex","text":"evalstr_ex(cmd::String)\n\nAssume that cmd consists of n GAP statements, each terminated by ; or ;;. Let GAP execute these statements and return a GAP list of length n that describes their results. Each entry of the return value is a GAP list of length 5, with the following meaning.\n\nThe first entry is true if the statement was executed successfully, and false otherwise.\nIf the first entry is true, then the second entry is bound to the result of the statement if there was one, and unbound otherwise.\nThe third entry is unbound if an error occured, true if the statement ends in a double semicolon, and false otherwise.\nThe fourth entry currently is always unbound.\nThe fifth entry contains the captured output of the statement as a string. If there was no double semicolon then also the output of GAP.Globals.ViewObj applied to the result value in the second entry, if any, is part of that string.\n\nExamples\n\njulia> GAP.evalstr_ex( \"1+2\" ) # error due to missing semicolon\nGAP: [ [ false,,,, \"\" ] ]\n\njulia> GAP.evalstr_ex( \"1+2;\" ) # one statement with return value\nGAP: [ [ true, 3, false,, \"3\" ] ]\n\njulia> GAP.evalstr_ex( \"1+2;;\" ) # the same with suppressed output\nGAP: [ [ true, 3, true,, \"\" ] ]\n\njulia> GAP.evalstr_ex( \"x:= []; Add(x, 1);\" ) # two valid commands\nGAP: [ [ true, [ 1 ], false,, \"[ ]\" ], [ true,, false,, \"\" ] ]\n\njulia> GAP.evalstr_ex( \"1/0; 1+1;\" ) # one error, one valid command\nGAP: [ [ false,,,, \"\" ], [ true, 2, false,, \"2\" ] ]\n\njulia> GAP.evalstr_ex( \"Print(1);\" ) # no return value but output\nGAP: [ [ true,, false,, \"1\" ] ]\n\njulia> GAP.evalstr_ex( \"\" ) # empty input\nGAP: [ ]\n\n\n\n\n\n","category":"function"},{"location":"basics/#GAP.prompt","page":"Basics","title":"GAP.prompt","text":"prompt()\n\nStart a GAP prompt where you can enter GAP commands as in a regular GAP session. This prompt can be left as any GAP prompt by either entering quit; or pressing ctrl-D, which returns to the Julia prompt.\n\nThis GAP prompt allows to quickly switch between writing Julia and GAP code in a session where all data is shared.\n\n\n\n\n\n","category":"function"},{"location":"basics/#GAP.create_gap_sh","page":"Basics","title":"GAP.create_gap_sh","text":"create_gap_sh(dstdir::String)\n\nGiven a directory path, create three files in that directory:\n\na shell script named gap.sh which acts like the gap.sh shipped with a regular GAP installation, but which behind the scenes launches GAP via Julia.\ntwo TOML files, Manifest.toml and Project.toml, which are required by gap.sh to function (they record the precise versions of GAP.jl and other Julia packages involved)\n\n\n\n\n\n","category":"function"},{"location":"basics/#Accessing-Julia-from-GAP","page":"Basics","title":"Accessing Julia from GAP","text":"","category":"section"},{"location":"basics/","page":"Basics","title":"Basics","text":"The GAP-Julia interface is fully bidirectional, so it is also possible to access all Julia functionality from GAP. To learn more about this, please consult the manual of the GAP package JuliaInterface.","category":"page"},{"location":"basics/#Types","page":"Basics","title":"Types","text":"","category":"section"},{"location":"basics/","page":"Basics","title":"Basics","text":"FFE\nGapObj\nGAP.Obj\nGapInt","category":"page"},{"location":"basics/#GAP.FFE","page":"Basics","title":"GAP.FFE","text":"FFE\n\nWrap a pointer to a GAP FFE (\"finite field element\") immediate object. This type is defined in the JuliaInterface C code.\n\nExamples\n\njulia> x = GAP.Globals.Z(3)\nGAP: Z(3)\n\njulia> typeof(x)\nFFE\n\n\n\n\n\n","category":"type"},{"location":"basics/#GAP.GapObj","page":"Basics","title":"GAP.GapObj","text":"GapObj\n\nThis is the Julia type of all those GAP objects that are not \"immediate\" (booleans, small integers, FFEs).\n\nExamples\n\njulia> typeof(GapObj([1, 2])) # a GAP list\nGapObj\n\njulia> typeof(GapObj(Dict(:a => 1))) # a GAP record\nGapObj\n\njulia> typeof( GAP.evalstr( \"(1,2,3)\" ) ) # a GAP permutation\nGapObj\n\njulia> typeof( GAP.evalstr( \"2^64\" ) ) # a large GAP integer\nGapObj\n\njulia> typeof( GAP.evalstr( \"2^59\" ) ) # a small GAP integer\nInt64\n\njulia> typeof( GAP.evalstr( \"Z(2)\" ) ) # a GAP FFE\nFFE\n\njulia> typeof( GAP.evalstr( \"true\" ) ) # a boolean\nBool\n\nNote that this is Julia's viewpoint on GAP objects. From the viewpoint of GAP, also the pointers to Julia objects are implemented as \"non-immediate GAP objects\", but they appear as Julia objects to Julia, not \"doubly wrapped\".\n\nExamples\n\njulia> GAP.evalstr( \"Julia.Base\" )\nBase\n\njulia> typeof( GAP.evalstr( \"Julia.Base\" ) ) # native Julia object\nModule\n\nOne can use GapObj as a constructor, in order to convert Julia objects to GAP objects. Such calls are delegated to julia_to_gap.\n\nHowever, this is restricted to outputs that actually are of type GapObj. To also deal with GAP integers, finite field elements and booleans, use GAP.Obj instead.\n\nRecursive conversion of nested Julia objects (arrays, tuples, dictionaries) can be forced either by a second argument true or by the keyword argument recursive with value true.\n\nExamples\n\njulia> GapObj(1//3)\nGAP: 1/3\n\njulia> GapObj([1 2; 3 4])\nGAP: [ [ 1, 2 ], [ 3, 4 ] ]\n\njulia> GapObj([[1, 2], [3, 4]])\nGAP: [ , ]\n\njulia> GapObj([[1, 2], [3, 4]], true)\nGAP: [ [ 1, 2 ], [ 3, 4 ] ]\n\njulia> GapObj([[1, 2], [3, 4]], recursive=true)\nGAP: [ [ 1, 2 ], [ 3, 4 ] ]\n\njulia> GapObj(42)\nERROR: TypeError: in typeassert, expected GapObj, got a value of type Int64\n\n\n\n\n\n","category":"type"},{"location":"basics/#GAP.Obj","page":"Basics","title":"GAP.Obj","text":"GAP.Obj\n\nThis is an alias for Union{GapObj,FFE,Int64,Bool}. This type union covers all types a \"native\" GAP object may have from Julia's viewpoint.\n\nMoreover, it can be used as a constructor, in order to convert Julia objects to GAP objects, whenever a suitable conversion has been defined.\n\nRecursive conversion of nested Julia objects (arrays, tuples, dictionaries) can be forced either by a second argument true or by the keyword argument recursive with value true.\n\nExamples\n\njulia> GAP.Obj(1//3)\nGAP: 1/3\n\njulia> GAP.Obj([1 2; 3 4])\nGAP: [ [ 1, 2 ], [ 3, 4 ] ]\n\njulia> GAP.Obj([[1, 2], [3, 4]])\nGAP: [ , ]\n\njulia> GAP.Obj([[1, 2], [3, 4]], true)\nGAP: [ [ 1, 2 ], [ 3, 4 ] ]\n\njulia> GAP.Obj([[1, 2], [3, 4]], recursive=true)\nGAP: [ [ 1, 2 ], [ 3, 4 ] ]\n\njulia> GAP.Obj(42)\n42\n\n\n\n\n\n","category":"type"},{"location":"basics/#GAP.GapInt","page":"Basics","title":"GAP.GapInt","text":"GapInt\n\nAny GAP integer object is represented in Julia as either a GapObj (if it is a \"large\" integer) or as an Int (if it is a \"small\" integer). This type union can be used to express this conveniently, e.g. when one wants to help type stability.\n\nNote that also GAP's infinity and -infinity fit under this type (as do many other objects which are not numbers).\n\n\n\n\n\n","category":"type"},{"location":"internal/","page":"Internal","title":"Internal","text":"CurrentModule = GAP\nDocTestSetup = :(using GAP)","category":"page"},{"location":"internal/#Internal","page":"Internal","title":"Internal","text":"","category":"section"},{"location":"internal/","page":"Internal","title":"Internal","text":"GAP.get_symbols_in_module\nGAP.GAP\nGAP.RecDict\nGAP.kwarg_wrapper","category":"page"},{"location":"internal/#GAP.get_symbols_in_module","page":"Internal","title":"GAP.get_symbols_in_module","text":"get_symbols_in_module(m::Module) :: Vector{Symbol}\n\nReturn all symbols in the module m. This is used in a GAP method for RecNames.\n\n\n\n\n\n","category":"function"},{"location":"internal/#GAP.GAP","page":"Internal","title":"GAP.GAP","text":"GAP.jl is the Julia interface to the GAP-System.\n\nFor the package manual see https://oscar-system.github.io/GAP.jl/.\n\nFor more information about GAP see https://www.gap-system.org/.\n\n\n\n\n\n","category":"module"},{"location":"internal/#GAP.RecDict","page":"Internal","title":"GAP.RecDict","text":"RecDict\n\nAn internal type of GAP.jl used for tracking conversion results in gap_to_julia.\n\n\n\n\n\n","category":"type"},{"location":"internal/#GAP.kwarg_wrapper","page":"Internal","title":"GAP.kwarg_wrapper","text":"kwarg_wrapper(func, args::Vector{T1}, kwargs::Dict{Symbol,T2}) where {T1, T2}\n\nCall the function func with arguments args and keyword arguments given by the keys and values of kwargs.\n\nThis function is used on the GAP side, in calls of Julia functions that require keyword arguments. Note that jl_call and Core._apply do not support keyword arguments.\n\nExamples\n\njulia> range(2, length = 5, step = 2)\n2:2:10\n\njulia> GAP.kwarg_wrapper(range, [2], Dict(:length => 5, :step => 2))\n2:2:10\n\n\n\n\n\n\n","category":"function"},{"location":"other/","page":"Other stuff","title":"Other stuff","text":"CurrentModule = GAP\nDocTestSetup = :(using GAP)","category":"page"},{"location":"other/#Other-stuff","page":"Other stuff","title":"Other stuff","text":"","category":"section"},{"location":"other/#Macros","page":"Other stuff","title":"Macros","text":"","category":"section"},{"location":"other/","page":"Other stuff","title":"Other stuff","text":"@gap\n@g_str\n@gapwrap\n@gapattribute\n@wrap","category":"page"},{"location":"other/#GAP.@gap","page":"Other stuff","title":"GAP.@gap","text":"@gap \n@gap()\n\nExecute directly in GAP, as if GAP.evalstr(\"\") was called. This can be used for creating GAP literals directly from Julia.\n\nExamples\n\njulia> @gap [1,2,3]\nGAP: [ 1, 2, 3 ]\n\njulia> @gap SymmetricGroup(3)\nGAP: Sym( [ 1 .. 3 ] )\n\njulia> @gap(SymmetricGroup)(3)\nGAP: Sym( [ 1 .. 3 ] )\n\n\nNote that the last two examples have a slight syntactical, and therefore also a semantical difference. The first one executes the string SymmetricGroup(3) directly inside GAP. The second example returns the function SymmetricGroup via @gap(SymmetricGroup), then calls that function with the argument 3.\n\nDue to Julia's way of handing over arguments into the code of macros, not all expressions representing valid GAP code can be processed. For example, the GAP syntax of permutations consisting of more than one cycle cause problems, as well as the GAP syntax of non-dense lists.\n\njulia> @gap (1,2,3)\nGAP: (1,2,3)\n\njulia> @gap (1,2)(3,4)\nERROR: LoadError: Error thrown by GAP: Error, no method found! For debugging hints type ?Recovery from NoMethodFound\n[...]\n\njulia> @gap [ 1,, 2 ]\nERROR: syntax: unexpected \",\"\n[...]\n\n\nNote also that a string argument gets evaluated with GAP.evalstr.\n\njulia> @gap \"\\\"abc\\\"\"\nGAP: \"abc\"\n\njulia> @gap \"[1,,2]\"\nGAP: [ 1,, 2 ]\n\njulia> @gap \"(1,2)(3,4)\"\nGAP: (1,2)(3,4)\n\n\n\n\n\n\n","category":"macro"},{"location":"other/#GAP.@g_str","page":"Other stuff","title":"GAP.@g_str","text":"@g_str\n\nCreate a GAP string by typing g\"content\".\n\nExamples\n\njulia> g\"foo\"\nGAP: \"foo\"\n\njulia> g\"ab\\ncd\\\"ef\\\\gh\" # special characters are handled as in GAP\nGAP: \"ab\\ncd\\\"ef\\\\gh\"\n\n\nDue to Julia's way of handing over arguments into the code of macros, not all strings representing valid GAP strings can be processed.\n\njulia> g\"\\\\\"\nERROR: Error thrown by GAP: Syntax error: String must end with \" before end of file in stream:1\n[...]\n\n\nConversely, there are valid arguments for the macro that are not valid Julia strings.\n\njulia> g\"\\c\"\nGAP: \"\\c\"\n\n\n\n\n\n\n","category":"macro"},{"location":"other/#GAP.@gapwrap","page":"Other stuff","title":"GAP.@gapwrap","text":"@gapwrap\n\nWhen applied to a method definition that involves access to entries of GAP.Globals, this macro rewrites the code such that the relevant GAP globals are cached, and need not be fetched again and again.\n\nExamples\n\njulia> @gapwrap isevenint(x) = GAP.Globals.IsEvenInt(x)::Bool;\n\njulia> isevenint(1)\nfalse\n\njulia> isevenint(2)\ntrue\n\n\n\n\n\n\n","category":"macro"},{"location":"other/#GAP.@gapattribute","page":"Other stuff","title":"GAP.@gapattribute","text":"@gapattribute\n\nThis macro is intended to be applied to a method definition for a unary function called attr, say, where the argument has the type T, say, the code contains exactly one call of the form GAP.Globals.Something(X), where Something is a GAP attribute such as Centre or IsSolvableGroup, and attr returns the corresponding attribute value for its argument.\n\nThe macro defines three functions attr, has_attr, and set_attr, where attr takes an argument of type T and returns what the given method definition says, has_attr takes an argument of type T and returns the result of GAP.Globals.HasSomething(X) (which is either true or false), set_attr takes an argument of type T and an object obj and calls GAP.Globals.SetSomething(X, obj).\n\nIn order to avoid runtime access via GAP.Globals.Something etc., the same modifications are applied in the construction of the three functions that are applied by @gapwrap.\n\nThe variables that are created by the macro belong to the Julia module in whose scope the macro is called.\n\nExamples\n\njulia> @gapattribute isstrictlysortedlist(obj::GapObj) = GAP.Globals.IsSSortedList(obj)::Bool;\n\njulia> l = GapObj([ 1, 3, 7 ]);\n\njulia> has_isstrictlysortedlist( l )\nfalse\n\njulia> isstrictlysortedlist( l )\ntrue\n\njulia> has_isstrictlysortedlist( l )\ntrue\n\njulia> l = GapObj([ 1, 3, 7 ]);\n\njulia> has_isstrictlysortedlist( l )\nfalse\n\njulia> set_isstrictlysortedlist( l, true )\n\njulia> has_isstrictlysortedlist( l )\ntrue\n\njulia> isstrictlysortedlist( l )\ntrue\n\n\n\n\n\n\n","category":"macro"},{"location":"other/#GAP.@wrap","page":"Other stuff","title":"GAP.@wrap","text":"@wrap funcdecl\n\nWhen applied to a function declaration of the form NAME(a::T) or NAME(a::T)::S, this macro generates a function which behaves equivalently to NAME(a::T) = GAP.Globals.NAME(a) resp. NAME(a::T) = GAP.Globals.NAME(a)::S, assuming that GAP.Globals.NAME references a GAP function. Function declarations with more than one argument or zero arguments are also supported.\n\nHowever, the generated function actually caches the GAP object GAP.Globals.NAME. This minimizes the call overhead. So @wrap typically is used to provide an optimized way to call certain GAP functions.\n\nIf an argument is annotated as ::GapObj (respectively ::GAP.Obj or ::GapInt), the resulting function accepts arguments of any type and attempts to convert them to GapObj (respectively GAP.Obj or GapInt) before passing them to the GAP function.\n\nAnother use case for this macro is to improve type stability of code calling into GAP, via the type annotations for the arguments and return value contained in the function declaration.\n\nBe advised, though, that if the value of GAP.Globals.NAME is changed later on, the function generated by this macro will not be updated, i.e., it will still reference the original GAP object.\n\nExamples\n\njulia> GAP.@wrap IsString(x::GapObj)::Bool\nIsString (generic function with 1 method)\n\njulia> IsString(\"abc\")\ntrue\n\njulia> GAP.@wrap Jacobi(x::GapInt, y::GapInt)::Int\nJacobi (generic function with 1 method)\n\njulia> Jacobi(11,35)\n1\n\njulia> Jacobi(big(35)^100+11, 35)\n1\n\n\n\n\n\n","category":"macro"},{"location":"other/#Convenience-adapters","page":"Other stuff","title":"Convenience adapters","text":"","category":"section"},{"location":"other/","page":"Other stuff","title":"Other stuff","text":"This section describes how one can manipulate GAP objects from the Julia side, using Julia syntax features.","category":"page"},{"location":"other/","page":"Other stuff","title":"Other stuff","text":"In particular, the following is available on the Julia side in order to support special GAP syntax beyond function calls with arguments.","category":"page"},{"location":"other/","page":"Other stuff","title":"Other stuff","text":"Call functions with global options via call_gap_func or using Julia's keyword argument syntax. For example, Cyc(1.41421356 : bits:=20) in GAP translates to GAP.Globals.Cyc(GAP.Obj(1.41421356); bits=20) in Julia.\nAccess list/matrix entries via getindex and setindex! respectively the corresponding Julia syntax (described there).\nAccess record components via getproperty and setproperty! respectively the corresponding Julia syntax (described there).\nCheck for bound record components via hasproperty.\nAccess entries of a positional object via getbangindex, equivalent to GAP's ![] operator.\nAccess components of a component object via getbangproperty, equivalent to GAP's !. operator.","category":"page"},{"location":"other/","page":"Other stuff","title":"Other stuff","text":"call_gap_func\ncall_with_catch\ngetindex\nsetindex!\ngetbangindex\nhasbangindex\nsetbangindex!\ngetproperty\nsetproperty!\nhasproperty\ngetbangproperty\nhasbangproperty\nsetbangproperty!\nwrap_rng\nrandseed!","category":"page"},{"location":"other/#GAP.call_gap_func","page":"Other stuff","title":"GAP.call_gap_func","text":"call_gap_func(func::GapObj, args...; kwargs...)\n\nCall the GAP object func as a function, with arguments args... and global GAP options kwargs..., and return the result if there is one, and nothing otherwise.\n\nThere is no argument number checking here, all checks on the arguments are done by GAP itself.\n\nFor convenience, one can use the syntax func(args...; kwargs...).\n\nExamples\n\njulia> GAP.Globals.Factors( 12 )\nGAP: [ 2, 2, 3 ]\n\njulia> GAP.Globals.Cyc(GAP.Obj(1.41421356))\nGAP: 35355339/25000000\n\njulia> GAP.Globals.Cyc(GAP.Obj(1.41421356); bits=20)\nGAP: E(8)-E(8)^3\n\n\n\n\n\n","category":"function"},{"location":"other/#GAP.call_with_catch","page":"Other stuff","title":"GAP.call_with_catch","text":"call_with_catch(juliafunc, arguments)\n\nReturn a tuple (ok, val) where ok is either true, meaning that calling the function juliafunc with arguments returns the value val, or false, meaning that the function call runs into an error; in the latter case, val is set to the string of the error message.\n\nExamples\n\njulia> GAP.call_with_catch(sqrt, 2)\n(true, 1.4142135623730951)\n\njulia> flag, res = GAP.call_with_catch(sqrt, -2);\n\njulia> flag\nfalse\n\njulia> startswith(res, \"DomainError\")\ntrue\n\n\n\n\n\n\n","category":"function"},{"location":"other/#Base.getindex","page":"Other stuff","title":"Base.getindex","text":"getindex(x::GapObj, i::Int64)\ngetindex(x::GapObj, i::Int64, j::Int64)\ngetindex(x::GapObj, l::Union{Vector{T},AbstractRange{T}}) where {T<:Integer}\n\nReturn the entry at position i or at position (i,j) in x, or the list of entries in x at the positions described by l, provided that x is a GAP object supporting this, such as a GAP list or matrix object.\n\nExamples\n\njulia> l = GapObj([ 1, 2, 3, 5, 8, 13 ])\nGAP: [ 1, 2, 3, 5, 8, 13 ]\n\njulia> l[4]\n5\n\njulia> l[end]\n13\n\njulia> l[2:4]\nGAP: [ 2, 3, 5 ]\n\njulia> l[[1,4,4]]\nGAP: [ 1, 5, 5 ]\n\njulia> m = GapObj([ 1 2 ; 3 4 ])\nGAP: [ [ 1, 2 ], [ 3, 4 ] ]\n\njulia> m[1,1]\n1\n\njulia> m[1,2]\n2\n\njulia> m[2,1]\n3\n\n\n\n\n\n","category":"function"},{"location":"other/#Base.setindex!","page":"Other stuff","title":"Base.setindex!","text":"setindex!(x::GapObj, v::Any, i::Int64)\nsetindex!(x::GapObj, v::Any, i::Int64, j::Int64)\nsetindex!(x::GapObj, v::Any, l::Union{Vector{T},AbstractRange{T}}) where {T<:Integer}\n\nSet the entry at position i or (i,j) in x to v, or set the entries at the positions in x that are described by l to the entries in v, provided that x is a GAP object supporting this, such as a GAP list or matrix object.\n\nExamples\n\njulia> l = GapObj([ 1, 2, 3, 5, 8, 13 ])\nGAP: [ 1, 2, 3, 5, 8, 13 ]\n\njulia> l[1] = 0\n0\n\njulia> l[8] = -1\n-1\n\njulia> l[2:4] = [ 7, 7, 7 ]\n3-element Vector{Int64}:\n 7\n 7\n 7\n\njulia> l\nGAP: [ 0, 7, 7, 7, 8, 13,, -1 ]\n\njulia> m = GapObj([ 1 2 ; 3 4 ])\nGAP: [ [ 1, 2 ], [ 3, 4 ] ]\n\njulia> m[1,2] = 0\n0\n\njulia> m\nGAP: [ [ 1, 0 ], [ 3, 4 ] ]\n\n\n\n\n\n","category":"function"},{"location":"other/#GAP.getbangindex","page":"Other stuff","title":"GAP.getbangindex","text":"getbangindex(x::GapObj, i::Int64)\n\nReturn the entry at position i in the positional object x.\n\nExamples\n\njulia> x = GAP.Globals.ZmodnZObj(1, 6)\nGAP: ZmodnZObj( 1, 6 )\n\njulia> GAP.Globals.IsPositionalObjectRep(x)\ntrue\n\njulia> getbangindex(x, 1)\n1\n\n\n\n\n\n","category":"function"},{"location":"other/#GAP.hasbangindex","page":"Other stuff","title":"GAP.hasbangindex","text":"hasbangindex(x::GapObj, i::Int64)\n\nReturn whether the entry at position i exists in the positional object x.\n\nExamples\n\njulia> x = GAP.Globals.ZmodnZObj(1, 6)\nGAP: ZmodnZObj( 1, 6 )\n\njulia> GAP.Globals.IsPositionalObjectRep(x)\ntrue\n\njulia> hasbangindex(x, 1)\ntrue\n\njulia> hasbangindex(x, 2)\nfalse\n\n\n\n\n\n","category":"function"},{"location":"other/#GAP.setbangindex!","page":"Other stuff","title":"GAP.setbangindex!","text":"setbangindex!(x::GapObj, v::Any, i::Int64)\n\nSet the entry at position i in the positional object x to v, and return x.\n\nExamples\n\njulia> x = GAP.Globals.ZmodnZObj(1, 6)\nGAP: ZmodnZObj( 1, 6 )\n\njulia> GAP.Globals.IsPositionalObjectRep(x)\ntrue\n\njulia> setbangindex!(x, 0, 1)\nGAP: ZmodnZObj( 0, 6 )\n\n\n\n\n\n","category":"function"},{"location":"other/#Base.getproperty","page":"Other stuff","title":"Base.getproperty","text":"getproperty(x::GapObj, f::Symbol)\ngetproperty(x::GapObj, f::Union{AbstractString,Int64})\n\nReturn the record component of the GAP record x that is described by f.\n\nExamples\n\njulia> r = GapObj(Dict(:a => 1))\nGAP: rec( a := 1 )\n\njulia> r.a\n1\n\n\n\n\n\n","category":"function"},{"location":"other/#Base.setproperty!","page":"Other stuff","title":"Base.setproperty!","text":"setproperty!(x::GapObj, f::Symbol, v)\nsetproperty!(x::GapObj, f::Union{AbstractString,Int64}, v)\n\nSet the record component of the GAP record x that is described by f to the value v.\n\nExamples\n\njulia> r = GapObj(Dict(:a => 1))\nGAP: rec( a := 1 )\n\njulia> r.b = 0\n0\n\njulia> r\nGAP: rec( a := 1, b := 0 )\n\n\n\n\n\n","category":"function"},{"location":"other/#Base.hasproperty","page":"Other stuff","title":"Base.hasproperty","text":"hasproperty(x::GapObj, f::Symbol)\nhasproperty(x::GapObj, f::Union{AbstractString,Int64})\n\nReturn true if the GAP record x has a component that is described by f, and false otherwise.\n\nExamples\n\njulia> r = GapObj(Dict(:a => 1))\nGAP: rec( a := 1 )\n\njulia> hasproperty( r, :a )\ntrue\n\njulia> hasproperty( r, :b )\nfalse\n\njulia> r.b = 2\n2\n\njulia> hasproperty( r, :b )\ntrue\n\njulia> r\nGAP: rec( a := 1, b := 2 )\n\n\n\n\n\n","category":"function"},{"location":"other/#GAP.getbangproperty","page":"Other stuff","title":"GAP.getbangproperty","text":"getbangproperty(x::GapObj, f::Union{AbstractString,Int64,Symbol})\n\nReturn the value of the component f in the component object x.\n\nExamples\n\njulia> x = GAP.Globals.Iterator(GAP.Globals.Integers)\nGAP: \n\njulia> GAP.Globals.IsComponentObjectRep(x)\ntrue\n\njulia> getbangproperty(x, :counter)\n0\n\n\n\n\n\n","category":"function"},{"location":"other/#GAP.hasbangproperty","page":"Other stuff","title":"GAP.hasbangproperty","text":"hasbangproperty(x::GapObj, f::Union{AbstractString,Int64,Symbol})\n\nReturn whether the component object x has the component f.\n\nExamples\n\njulia> x = GAP.Globals.Iterator(GAP.Globals.Integers)\nGAP: \n\njulia> GAP.Globals.IsComponentObjectRep(x)\ntrue\n\njulia> hasbangproperty(x, :counter)\ntrue\n\njulia> hasbangproperty(x, :x)\nfalse\n\n\n\n\n\n","category":"function"},{"location":"other/#GAP.setbangproperty!","page":"Other stuff","title":"GAP.setbangproperty!","text":"setbangproperty!(x::GapObj, f::Union{AbstractString,Int64,Symbol}, v)\n\nSet the value of the component f in the component object x to v, and return x.\n\nExamples\n\njulia> x = GAP.Globals.Iterator(GAP.Globals.Integers)\nGAP: \n\njulia> GAP.Globals.IsComponentObjectRep(x)\ntrue\n\njulia> setbangproperty!(x, :counter, 3)\nGAP: \n\njulia> getbangproperty(x, :counter)\n3\n\n\n\n\n\n","category":"function"},{"location":"other/#GAP.wrap_rng","page":"Other stuff","title":"GAP.wrap_rng","text":"wrap_rng(rng::Random.AbstractRNG)\n\nReturn a GAP object in the filter IsRandomSource that uses rng in calls to GAP's Random function. The idea is that GAP's Random methods for high level objects will just hand over the given random source to subfunctions until Random gets called for a list or the bounds of a range, and then Base.rand gets called with rng.\n\nExamples\n\njulia> rng1 = Random.default_rng();\n\njulia> rng2 = copy(rng1);\n\njulia> rng1 == rng2\ntrue\n\njulia> rng1 === rng2\nfalse\n\njulia> gap_rng1 = GAP.wrap_rng(rng1)\nGAP: \n\njulia> gap_rng2 = GAP.wrap_rng(rng2)\nGAP: \n\njulia> res1 = GAP.Globals.Random(gap_rng1, 1, 10);\n\njulia> rng1 == rng2 # the two rngs have diverged\nfalse\n\njulia> res1 == GAP.Globals.Random(gap_rng2, GapObj(1:10))\ntrue\n\njulia> rng1 == rng2 # now the two rngs are again in sync\ntrue\n\njulia> g = GAP.Globals.SymmetricGroup(10);\n\njulia> p = GAP.Globals.Random(gap_rng1, g);\n\njulia> p in g\ntrue\n\njulia> GAP.Globals.Random(gap_rng1, GAP.Globals.GF(2)^10)\nGAP: \n\n\n\n\n\n","category":"function"},{"location":"other/#GAP.randseed!","page":"Other stuff","title":"GAP.randseed!","text":"GAP.randseed!([seed::Integer])\n\nReseed GAP's global RNG with seed.\n\nThe given seed must be a non-negative integer. When seed is not specified, a random seed is generated from Julia's global RNG.\n\nFor a fixed seed, the stream of generated numbers is allowed to change between different versions of GAP.\n\n\n\n\n\n","category":"function"},{"location":"other/","page":"Other stuff","title":"Other stuff","text":"For the following Julia functions, methods are provided that deal with the case that the arguments are GAP objects; they delegate to the corresponding GAP operations.","category":"page"},{"location":"other/","page":"Other stuff","title":"Other stuff","text":"Julia GAP\nlength Length\nin \\in\nzero ZeroSameMutability\none OneSameMutability\n- (unary) AdditiveInverseSameMutability\ninv InverseSameMutability\n+ SUM\n- (binary) DIFF\n* PROD\n/ QUO\n\\ LQUO\n^ POW\nmod MOD\n< LT\n== EQ","category":"page"},{"location":"other/","page":"Other stuff","title":"Other stuff","text":"The reason why four SameMutability operations are chosen in this list is as follows. In GAP, binary arithmetic operations return immutable results if and only if the two arguments are immutable. Thus it is consistent if unary arithmetic operations return a result with the same mutability as the argument. Note that GAP provides several variants of these unary operations, regarding the mutability of the result (ZeroMutable, ZeroImmutable, ZeroSameMutability, etc.), but here we have to choose one behaviour for the Julia function.","category":"page"},{"location":"other/","page":"Other stuff","title":"Other stuff","text":"julia> l = GAP.julia_to_gap( [ 1, 3, 7, 15 ] )\nGAP: [ 1, 3, 7, 15 ]\n\njulia> m = GAP.julia_to_gap( [ 1 2; 3 4 ] )\nGAP: [ [ 1, 2 ], [ 3, 4 ] ]\n\njulia> length( l )\n4\n\njulia> length( m ) # different from Julia's behaviour\n2\n\njulia> 1 in l\ntrue\n\njulia> 2 in l\nfalse\n\njulia> zero( l )\nGAP: [ 0, 0, 0, 0 ]\n\njulia> one( m )\nGAP: [ [ 1, 0 ], [ 0, 1 ] ]\n\njulia> - l\nGAP: [ -1, -3, -7, -15 ]\n\njulia> l + 1\nGAP: [ 2, 4, 8, 16 ]\n\njulia> l + l\nGAP: [ 2, 6, 14, 30 ]\n\njulia> m + m\nGAP: [ [ 2, 4 ], [ 6, 8 ] ]\n\njulia> 1 - m\nGAP: [ [ 0, -1 ], [ -2, -3 ] ]\n\njulia> l * l\n284\n\njulia> l * m\nGAP: [ 10, 14 ]\n\njulia> m * m\nGAP: [ [ 7, 10 ], [ 15, 22 ] ]\n\njulia> 1 / m\nGAP: [ [ -2, 1 ], [ 3/2, -1/2 ] ]\n\njulia> m / 2\nGAP: [ [ 1/2, 1 ], [ 3/2, 2 ] ]\n\njulia> 2 \\ m\nGAP: [ [ 1/2, 1 ], [ 3/2, 2 ] ]\n\njulia> m ^ 2\nGAP: [ [ 7, 10 ], [ 15, 22 ] ]\n\njulia> m ^ -1\nGAP: [ [ -2, 1 ], [ 3/2, -1/2 ] ]\n\njulia> mod( l, 3 )\nGAP: [ 1, 0, 1, 0 ]\n\njulia> m < 2 * m\ntrue\n\njulia> m^2 - 5 * m == 2 * one( m )\ntrue\n","category":"page"},{"location":"other/#Access-to-the-GAP-help-system","page":"Other stuff","title":"Access to the GAP help system","text":"","category":"section"},{"location":"other/","page":"Other stuff","title":"Other stuff","text":"show_gap_help","category":"page"},{"location":"other/#GAP.show_gap_help","page":"Other stuff","title":"GAP.show_gap_help","text":"show_gap_help(topic::String, onlyexact::Bool = false)\n\nPrint the information from the GAP help system about topic to the screen. If onlyexact is true then only exact matches are shown, otherwise all matches. For example, GAP.show_gap_help(\"Size\") shows also documentation for SizeScreen and SizesPerfectGroups, whereas GAP.show_gap_help(\"Size\", true) shows only documentation for Size.\n\nFor the variant showing all matches, one can also enter ?GAP.Globals.Size at the Julia prompt instead of calling show_gap_help.\n\nExamples\n\njulia> GAP.show_gap_help( \"Size\" )\n[...] # more than 50 entries from GAP manuals\n\nhelp?> GAP.Globals.Size\n[...] # the same\n\njulia> GAP.show_gap_help( \"Size\", true )\n[...] # about 15 entries from GAP manuals\n\n\n\n\n\n\n","category":"function"},{"location":"packages/","page":"Managing GAP packages","title":"Managing GAP packages","text":"CurrentModule = GAP\nDocTestSetup = :(using GAP)","category":"page"},{"location":"packages/#Managing-GAP-packages","page":"Managing GAP packages","title":"Managing GAP packages","text":"","category":"section"},{"location":"packages/","page":"Managing GAP packages","title":"Managing GAP packages","text":"The following functions allow one to load/install/update/remove/locate GAP packages.","category":"page"},{"location":"packages/","page":"Managing GAP packages","title":"Managing GAP packages","text":"GAP.Packages.load\nGAP.Packages.install\nGAP.Packages.update\nGAP.Packages.remove\nGAP.Packages.locate_package","category":"page"},{"location":"packages/#GAP.Packages.load","page":"Managing GAP packages","title":"GAP.Packages.load","text":"load(spec::String, version::String = \"\"; install::Union{Bool, String} = false, quiet::Bool = true)\n\nTry to load the GAP package given by spec, which can be either the name of the package or a local path where the package is installed (a directory that contains the package's PackageInfo.g file).\n\nIf version is specified then try to load a version of the package that is compatible with version, in the sense of GAP's CompareVersionNumbers function, otherwise try to load the newest installed version. Return true if this is successful, and false otherwise.\n\nIf install is set to true or to a string and (the desired version of) the required GAP package is not yet installed and spec is the package name then install is called first, in order to install the package; if no version is prescribed then the newest released version of the package will be installed. A string value of install can be the URL of an archive or repository containing a package, or the URL of a PackageInfo.g file, like the first argument of install.\n\nThe function calls GAP's LoadPackage function. If quiet is set to false then package banners are shown for all packages being loaded. The quiet value is also passed on to install.\n\n\n\n\n\n","category":"function"},{"location":"packages/#GAP.Packages.install","page":"Managing GAP packages","title":"GAP.Packages.install","text":"install(spec::String, version::String = \"\";\n interactive::Bool = true, quiet::Bool = false,\n debug::Bool = false,\n pkgdir::AbstractString = GAP.Packages.DEFAULT_PKGDIR[])\n\nDownload and install the GAP package given by spec into the pkgdir directory.\n\nspec can be either the name of a package or the URL of an archive or repository containing a package, or the URL of a PackageInfo.g file.\n\nIf spec is the name of a package then the package version can be specified by version, in the format described for GAP's CompareVersionNumbers function. In all other cases the newest released version of the package will get installed.\n\nReturn true if the installation is successful or if (a version compatible with version) of the package was already installed, and false otherwise.\n\nThe function uses the function InstallPackage from GAP's package PackageManager. The info messages shown by this function can be suppressed by passing true as the value of quiet. Specifying interactive = false will prevent PackageManager from prompting the user for input interactively. For details, please refer to its documentation.\n\n\n\n\n\n","category":"function"},{"location":"packages/#GAP.Packages.update","page":"Managing GAP packages","title":"GAP.Packages.update","text":"update(spec::String; interactive::Bool = true, quiet::Bool = false,\n debug::Bool = false,\n pkgdir::AbstractString = GAP.Packages.DEFAULT_PKGDIR[])\n\nUpdate the GAP package given by spec that is installed in the pkgdir directory, to the latest version. Return true if a newer version was installed successfully, or if no newer version is available, and false otherwise.\n\nspec can be either the name of a package or the URL of an archive or repository containing a package, or the URL of a PackageInfo.g file.\n\nThe function uses the function UpdatePackage from GAP's package PackageManager. The info messages shown by this function can be suppressed by passing true as the value of quiet. Specifying interactive = false will prevent PackageManager from prompting the user for input interactively. For details, please refer to its documentation.\n\n\n\n\n\n","category":"function"},{"location":"packages/#GAP.Packages.remove","page":"Managing GAP packages","title":"GAP.Packages.remove","text":"remove(spec::String; interactive::Bool = true, quiet::Bool = false,\n debug::Bool = false,\n pkgdir::AbstractString = GAP.Packages.DEFAULT_PKGDIR[])\n\nRemove the GAP package with name spec that is installed in the pkgdir directory. Return true if the removal was successful, and false otherwise.\n\nThe function uses the function RemovePackage from GAP's package PackageManager. The info messages shown by this function can be suppressed by passing true as the value of quiet. Specifying interactive = false will prevent PackageManager from prompting the user for input interactively. For details, please refer to its documentation.\n\n\n\n\n\n","category":"function"},{"location":"packages/#GAP.Packages.locate_package","page":"Managing GAP packages","title":"GAP.Packages.locate_package","text":"locate_package(name::String)\n\nReturn the path where the GAP package with name name is installed if this package is loaded, and \"\" otherwise.\n\n\n\n\n\n","category":"function"},{"location":"","page":"GAP.jl","title":"GAP.jl","text":"CurrentModule = GAP\nDocTestSetup = :(using GAP)","category":"page"},{"location":"#GAP.jl","page":"GAP.jl","title":"GAP.jl","text":"","category":"section"},{"location":"#Introduction","page":"GAP.jl","title":"Introduction","text":"","category":"section"},{"location":"","page":"GAP.jl","title":"GAP.jl","text":"GAP.jl is a low level interface from Julia to the computer algebra system GAP. The term \"low level\" means that the aim is to give Julia access to all GAP objects, to let Julia call GAP functions, and to provide conversions of low level data (integers, Booleans, strings, arrays/lists, dictionaries/records) between the two systems.","category":"page"},{"location":"","page":"GAP.jl","title":"GAP.jl","text":"In particular, it is not the aim of GAP.jl to provide Julia types for higher level GAP objects that represent algebraic structures, such as groups, rings, fields, etc., and mappings between such structures.","category":"page"},{"location":"","page":"GAP.jl","title":"GAP.jl","text":"The connection between GAP and Julia is in fact bidirectional, that is, GAP can access all Julia objects, call Julia functions, and perform conversions of low level data. This direction will become interesting on the Julia side as soon as GAP packages provide functionality that is based on using Julia code from the GAP side.","category":"page"},{"location":"","page":"GAP.jl","title":"GAP.jl","text":"The viewpoint of an interface from GAP to Julia is described in the manual of the GAP package JuliaInterface.","category":"page"},{"location":"#Table-of-contents","page":"GAP.jl","title":"Table of contents","text":"","category":"section"},{"location":"","page":"GAP.jl","title":"GAP.jl","text":"Pages = GAP.GAP_docs_pages","category":"page"}] +} diff --git a/v0.11.1/siteinfo.js b/v0.11.1/siteinfo.js new file mode 100644 index 000000000..245fb0164 --- /dev/null +++ b/v0.11.1/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "v0.11.1"; diff --git a/versions.js b/versions.js index da4232001..e05805b88 100644 --- a/versions.js +++ b/versions.js @@ -11,5 +11,5 @@ var DOC_VERSIONS = [ "v0.3", "dev", ]; -var DOCUMENTER_NEWEST = "v0.11.0"; +var DOCUMENTER_NEWEST = "v0.11.1"; var DOCUMENTER_STABLE = "stable";