diff --git a/stable b/stable index ae34460d..5ee75d07 120000 --- a/stable +++ b/stable @@ -1 +1 @@ -v1.10.1 \ No newline at end of file +v1.10.2 \ No newline at end of file diff --git a/v1 b/v1 index ae34460d..5ee75d07 120000 --- a/v1 +++ b/v1 @@ -1 +1 @@ -v1.10.1 \ No newline at end of file +v1.10.2 \ No newline at end of file diff --git a/v1.10 b/v1.10 index ae34460d..5ee75d07 120000 --- a/v1.10 +++ b/v1.10 @@ -1 +1 @@ -v1.10.1 \ No newline at end of file +v1.10.2 \ No newline at end of file diff --git a/v1.10.2/.documenter-siteinfo.json b/v1.10.2/.documenter-siteinfo.json new file mode 100644 index 00000000..05577705 --- /dev/null +++ b/v1.10.2/.documenter-siteinfo.json @@ -0,0 +1 @@ +{"documenter":{"julia_version":"1.11.1","generation_timestamp":"2024-10-17T08:18:16","documenter_version":"1.7.0"}} \ No newline at end of file diff --git a/v1.10.2/adjacency/index.html b/v1.10.2/adjacency/index.html new file mode 100644 index 00000000..6012fde6 --- /dev/null +++ b/v1.10.2/adjacency/index.html @@ -0,0 +1,58 @@ + +Adjacency · ExtendableGrids.jl

Adjacency

This handles adjacency matrices between entities of polyhedral complexes, e.g. nodes, cells, edges etc.

An adjacency is described by an Adjacency matrix, which is a sparse matrix whose entries a 0 or 1. While such a matrix always can be stored as a SparseMatrixCSC, in general this would be a waste of storage.

For the general case, it is sufficient to only store the column start indieces and the column entries (row numbers), and to implicitely assume that nonzero entries are 1. This kind of storage is realised in a VariableTargetAdjacency.

In many cases, this can be compressed even more, if each column has the same length. In that case, a Matrix is sufficient to store the data. This is the usual base for implementing FEM/FVM assembly, and the interface for the general case should be similar.

From these ideas we develop the following interface for an adjacency a.

In order to avoid name confusion, we introduce the following notation which should be consistent with the use in assembly loops.

source: source of adjacency link target: target of adjacency link

E.g. the cell-node adjacency for FEM assembly links a number of cells with a collection of nodes. The cells are the sources, and the targets are the nodes.

getindex(a,i,isource) aka a[i,isource]: return i-th target of source j numsources(a): overall number of sources, e.g. number of cells numtargets(a): overall number of targets numtargets(a,isource): number of targets for source given by isource numlinks(a): number of links aka nonzero entries of adjacency matrix show(a): print stuff

Further API ideas:

  • Convert between Matrix and Variable target stuff using 0 entries as "padding"

API

ExtendableGrids.VariableTargetAdjacencyMethod
VariableTargetAdjacency(
+    m::SparseArrays.SparseMatrixCSC{Tv<:Integer, Ti<:Integer}
+) -> VariableTargetAdjacency{Ti} where Ti<:Integer
+

Create variable target adjacency from adjacency matrix

source
Base.append!Method
append!(adj::SerialVariableTargetAdjacency, len) -> Vector
+

Append a column to adjacency.

source
Base.append!Method
append!(adj::VariableTargetAdjacency, column) -> Vector
+

Append a column to adjacency.

source
Base.getindexMethod
getindex(
+    adj::SerialVariableTargetAdjacency,
+    i,
+    isource
+) -> Any
+

Access adjacency as if it is a 2D Array

source
Base.getindexMethod
getindex(adj::VariableTargetAdjacency, i, isource) -> Any
+

Access adjacency as if it is a 2D Array

source
Base.showMethod
show(io::IO, adj::SerialVariableTargetAdjacency)
+

Show adjacency (in trasposed form; preliminary)

source
Base.showMethod
show(io::IO, adj::VariableTargetAdjacency)
+

Show adjacency (in trasposed form; preliminary)

source
ExtendableGrids.asparseMethod
asparse(
+    a::VariableTargetAdjacency
+) -> SparseArrays.SparseMatrixCSC{Int64}
+

Create sparse incidence matrix from adjacency

source
ExtendableGrids.makevarMethod
makevar(a::Array{T, 2}) -> VariableTargetAdjacency
+

Turn fixed target adjacency into variable target adjacency

source
ExtendableGrids.tryfixMethod
tryfix(
+    a::Union{Array{T, 2}, VariableTargetAdjacency{T}}
+) -> Any
+

Try to turn variable target adjacency into fixed target adjacency

source
diff --git a/v1.10.2/allindex/index.html b/v1.10.2/allindex/index.html new file mode 100644 index 00000000..31fe625e --- /dev/null +++ b/v1.10.2/allindex/index.html @@ -0,0 +1,2 @@ + +Index · ExtendableGrids.jl

Index

Types and Constructors

Constants

    Methods

    diff --git a/v1.10.2/arraytools/index.html b/v1.10.2/arraytools/index.html new file mode 100644 index 00000000..b39f4fc3 --- /dev/null +++ b/v1.10.2/arraytools/index.html @@ -0,0 +1,4 @@ + +Array tools · ExtendableGrids.jl

    Array tools

    API

    ExtendableGrids.geomspaceMethod
    geomspace(a, b, ha, hb; tol, maxiterations) -> Any
    +

    (Try to) create a subdivision of interval (a,b) stored in the returned array X such that

    • X[1]==a, X[end]==b
    • (X[2]-X[1])<=ha+tol*(b-a)
    • (X[end]-X[end-1])<=hb+tol*(b-a)
    • There is a number q such that X[i+1]-X[i] == q*(X[i]-X[i-1])
    • X is the array with the minimal possible number of points with the above property

    Caveat: the algorithm behind this is tested for many cases but unproven.

    Returns an Array containing the points of the subdivision.

    source
    ExtendableGrids.glueMethod
    c=glue(a,b)

    Glue together two vectors a and b resulting in a vector c. They last element of a shall be equal (up to tol) to the first element of b. The result fulfills length(c)=length(a)+length(b)-1

    source
    ExtendableGrids.linspaceMethod
    linspace(a, b, n) -> Any
    +

    Resurrect linspace despite https://github.com/JuliaLang/julia/pull/25896#issuecomment-363769368

    source
    diff --git a/v1.10.2/assembly/index.html b/v1.10.2/assembly/index.html new file mode 100644 index 00000000..5a5bba75 --- /dev/null +++ b/v1.10.2/assembly/index.html @@ -0,0 +1,2 @@ + +Assembly support · ExtendableGrids.jl

    Assembly support

    API

    ExtendableGrids.AT_NODESType
    abstract type AT_NODES <: AssemblyType

    causes interpolation at vertices of the grid (only for H1-conforming interpolations)

    source
    diff --git a/v1.10.2/assets/documenter.js b/v1.10.2/assets/documenter.js new file mode 100644 index 00000000..235cb2e5 --- /dev/null +++ b/v1.10.2/assets/documenter.js @@ -0,0 +1,1065 @@ +// 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', + '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', + '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" + ] + }, + "headroom-jquery": { + "deps": [ + "jquery", + "headroom" + ] + }, + "highlight-julia-repl": { + "deps": [ + "highlight" + ] + } +} +}); +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +window.MathJax = { + "tex": { + "packages": [ + "base", + "ams", + "autoload", + "mhchem" + ], + "inlineMath": [ + [ + "$", + "$" + ], + [ + "\\(", + "\\)" + ] + ], + "tags": "ams" + }, + "options": { + "ignoreHtmlClass": "tex2jax_ignore", + "processHtmlClass": "tex2jax_process" + } +} +; + +(function () { + var script = document.createElement('script'); + script.src = 'https://cdnjs.cloudflare.com/ajax/libs/mathjax/3.2.2/es5/tex-svg-full.js'; + script.async = true; + document.head.appendChild(script); +})(); + +}) +//////////////////////////////////////////////////////////////////////////////// +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 .docstring-article-toggle-button", + function () { + let articleToggleTitle = "Expand docstring"; + const parent = $(this).parent(); + + debounce(() => { + if (parent.siblings("section").is(":visible")) { + parent + .find("a.docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + } else { + parent + .find("a.docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + articleToggleTitle = "Collapse docstring"; + } + + parent + .children(".docstring-article-toggle-button") + .prop("title", articleToggleTitle); + parent.siblings("section").slideToggle(); + }); + } +); + +$(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"); + $("a.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"); + $("a.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@!]+$/, ""); + + word = word.toLowerCase(); + } + + return word ?? null; + }, + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!", would not + // find anything if searching for "add!", only for the entire qualification + tokenize: (string) => string.split(/[\s\-\.]+/), + // options which will be applied during the search + searchOptions: { + prefix: true, + boost: { title: 100 }, + fuzzy: 2, + }, + }); + + index.addAll(data); + + /** + * Used to map characters to HTML entities. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const htmlEscapes = { + "&": "&", + "<": "<", + ">": ">", + '"': """, + "'": "'", + }; + + /** + * Used to match HTML entities and HTML characters. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const reUnescapedHtml = /[&<>"']/g; + const reHasUnescapedHtml = RegExp(reUnescapedHtml.source); + + /** + * Escape function from lodash + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + function escape(string) { + return string && reHasUnescapedHtml.test(string) + ? string.replace(reUnescapedHtml, (chr) => htmlEscapes[chr]) + : string || ""; + } + + /** + * RegX escape function from MDN + * Refer: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Regular_Expressions#escaping + */ + function escapeRegExp(string) { + return string.replace(/[.*+?^${}()|[\]\\]/g, "\\$&"); // $& means the whole matched string + } + + /** + * Make the result component given a minisearch result data object and the value + * of the search input as queryString. To view the result object structure, refer: + * https://lucaong.github.io/minisearch/modules/_minisearch_.html#searchresult + * + * @param {object} result + * @param {string} querystring + * @returns string + */ + function make_search_result(result, querystring) { + let search_divider = `
    `; + let display_link = + result.location.slice(Math.max(0), Math.min(50, result.location.length)) + + (result.location.length > 30 ? "..." : ""); // To cut-off the link because it messes with the overflow of the whole div + + if (result.page !== "") { + display_link += ` (${result.page})`; + } + searchstring = escapeRegExp(querystring); + let textindex = new RegExp(`${searchstring}`, "i").exec(result.text); + let text = + textindex !== null + ? result.text.slice( + Math.max(textindex.index - 100, 0), + Math.min( + textindex.index + querystring.length + 100, + result.text.length + ) + ) + : ""; // cut-off text before and after from the match + + text = text.length ? escape(text) : ""; + + let display_result = text.length + ? "..." + + text.replace( + new RegExp(`${escape(searchstring)}`, "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; + }, + combineWith: "AND", + }); + + // 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/v1.10.2/assets/themes/catppuccin-frappe.css b/v1.10.2/assets/themes/catppuccin-frappe.css new file mode 100644 index 00000000..32e3f008 --- /dev/null +++ b/v1.10.2/assets/themes/catppuccin-frappe.css @@ -0,0 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.docstring>section>a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined[disabled],html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-primary.is-light,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink{background-color:#edf2fc;color:#153a8e}html.theme--catppuccin-frappe .button.is-primary.is-light:hover,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink:hover,html.theme--catppuccin-frappe .button.is-primary.is-light.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.is-hovered.docs-sourcelink{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-primary.is-light:active,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink:active,html.theme--catppuccin-frappe .button.is-primary.is-light.is-active,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.is-active.docs-sourcelink{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link{background-color:#8caaee;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:hover,html.theme--catppuccin-frappe .button.is-link.is-hovered{background-color:#81a2ec;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:focus,html.theme--catppuccin-frappe 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.button.is-link.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-outlined:focus,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-focused{background-color:#8caaee;border-color:#8caaee;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-light{background-color:#edf2fc;color:#153a8e}html.theme--catppuccin-frappe .button.is-link.is-light:hover,html.theme--catppuccin-frappe .button.is-link.is-light.is-hovered{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link.is-light:active,html.theme--catppuccin-frappe .button.is-link.is-light.is-active{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:hover,html.theme--catppuccin-frappe .button.is-info.is-hovered{background-color:#78c4b9;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus,html.theme--catppuccin-frappe .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus:not(:active),html.theme--catppuccin-frappe .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(129,200,190,0.25)}html.theme--catppuccin-frappe .button.is-info:active,html.theme--catppuccin-frappe .button.is-info.is-active{background-color:#6fc0b5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:#81c8be;box-shadow:none}html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-info.is-outlined{background-color:transparent;border-color:#81c8be;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-outlined:hover,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-info.is-outlined:focus,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-focused{background-color:#81c8be;border-color:#81c8be;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-outlined{background-color:transparent;border-color:#81c8be;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-light{background-color:#f1f9f8;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:hover,html.theme--catppuccin-frappe .button.is-info.is-light.is-hovered{background-color:#e8f5f3;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:active,html.theme--catppuccin-frappe .button.is-info.is-light.is-active{background-color:#dff1ef;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-success{background-color:#a6d189;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:hover,html.theme--catppuccin-frappe .button.is-success.is-hovered{background-color:#9fcd80;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:focus,html.theme--catppuccin-frappe .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:focus:not(:active),html.theme--catppuccin-frappe .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,209,137,0.25)}html.theme--catppuccin-frappe .button.is-success:active,html.theme--catppuccin-frappe .button.is-success.is-active{background-color:#98ca77;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success{background-color:#a6d189;border-color:#a6d189;box-shadow:none}html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-outlined:hover,html.theme--catppuccin-frappe 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.button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-light{background-color:#f4f9f0;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:hover,html.theme--catppuccin-frappe .button.is-success.is-light.is-hovered{background-color:#edf6e7;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:active,html.theme--catppuccin-frappe .button.is-success.is-light.is-active{background-color:#e6f2de;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:hover,html.theme--catppuccin-frappe .button.is-warning.is-hovered{background-color:#e3c386;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus,html.theme--catppuccin-frappe .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus:not(:active),html.theme--catppuccin-frappe .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(229,200,144,0.25)}html.theme--catppuccin-frappe .button.is-warning:active,html.theme--catppuccin-frappe .button.is-warning.is-active{background-color:#e0be7b;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:#e5c890;box-shadow:none}html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-focused{background-color:#e5c890;border-color:#e5c890;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-light{background-color:#fbf7ee;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:hover,html.theme--catppuccin-frappe .button.is-warning.is-light.is-hovered{background-color:#f9f2e4;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:active,html.theme--catppuccin-frappe .button.is-warning.is-light.is-active{background-color:#f6edda;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:hover,html.theme--catppuccin-frappe .button.is-danger.is-hovered{background-color:#e57779;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus,html.theme--catppuccin-frappe .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus:not(:active),html.theme--catppuccin-frappe .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(231,130,132,0.25)}html.theme--catppuccin-frappe .button.is-danger:active,html.theme--catppuccin-frappe .button.is-danger.is-active{background-color:#e36d6f;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:#e78284;box-shadow:none}html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-focused{background-color:#e78284;border-color:#e78284;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-light{background-color:#fceeee;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:hover,html.theme--catppuccin-frappe .button.is-danger.is-light.is-hovered{background-color:#fae3e4;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:active,html.theme--catppuccin-frappe .button.is-danger.is-light.is-active{background-color:#f8d8d9;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-frappe .button.is-small:not(.is-rounded),html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .button.is-normal{font-size:1rem}html.theme--catppuccin-frappe .button.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .button.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .button[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button{background-color:#737994;border-color:#626880;box-shadow:none;opacity:.5}html.theme--catppuccin-frappe .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-frappe .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-frappe .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-frappe .button.is-static{background-color:#292c3c;border-color:#626880;color:#838ba7;box-shadow:none;pointer-events:none}html.theme--catppuccin-frappe .button.is-rounded,html.theme--catppuccin-frappe #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--catppuccin-frappe .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-frappe .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-frappe .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-frappe .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-frappe .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-frappe .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-frappe .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-frappe .buttons.has-addons .button:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-frappe .buttons.has-addons .button:focus,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused,html.theme--catppuccin-frappe .buttons.has-addons .button:active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-frappe .buttons.has-addons .button:focus:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-frappe .buttons.has-addons .button:active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-frappe .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .buttons.is-centered{justify-content:center}html.theme--catppuccin-frappe .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-frappe .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-frappe .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--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-frappe .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-frappe .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-frappe .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-frappe .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-frappe .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-frappe .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-frappe .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-frappe .content li+li{margin-top:0.25em}html.theme--catppuccin-frappe .content p:not(:last-child),html.theme--catppuccin-frappe .content dl:not(:last-child),html.theme--catppuccin-frappe .content ol:not(:last-child),html.theme--catppuccin-frappe .content ul:not(:last-child),html.theme--catppuccin-frappe .content blockquote:not(:last-child),html.theme--catppuccin-frappe .content pre:not(:last-child),html.theme--catppuccin-frappe .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-frappe .content h1,html.theme--catppuccin-frappe .content h2,html.theme--catppuccin-frappe .content h3,html.theme--catppuccin-frappe .content h4,html.theme--catppuccin-frappe .content h5,html.theme--catppuccin-frappe .content h6{color:#c6d0f5;font-weight:600;line-height:1.125}html.theme--catppuccin-frappe .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-frappe .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-frappe .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-frappe .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-frappe .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-frappe .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-frappe .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-frappe .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-frappe .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-frappe .content blockquote{background-color:#292c3c;border-left:5px solid #626880;padding:1.25em 1.5em}html.theme--catppuccin-frappe .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-frappe .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-frappe .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-frappe .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-frappe .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-frappe .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-frappe .content ul ul ul{list-style-type:square}html.theme--catppuccin-frappe .content dd{margin-left:2em}html.theme--catppuccin-frappe .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-frappe .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-frappe .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-frappe .content figure img{display:inline-block}html.theme--catppuccin-frappe .content figure figcaption{font-style:italic}html.theme--catppuccin-frappe .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-frappe .content sup,html.theme--catppuccin-frappe .content sub{font-size:75%}html.theme--catppuccin-frappe .content table{width:100%}html.theme--catppuccin-frappe .content table td,html.theme--catppuccin-frappe .content table th{border:1px solid #626880;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-frappe .content table th{color:#b0bef1}html.theme--catppuccin-frappe .content table th:not([align]){text-align:inherit}html.theme--catppuccin-frappe .content table thead td,html.theme--catppuccin-frappe .content table thead th{border-width:0 0 2px;color:#b0bef1}html.theme--catppuccin-frappe .content table tfoot td,html.theme--catppuccin-frappe .content table tfoot th{border-width:2px 0 0;color:#b0bef1}html.theme--catppuccin-frappe .content table tbody tr:last-child td,html.theme--catppuccin-frappe .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-frappe .content .tabs li+li{margin-top:0}html.theme--catppuccin-frappe .content.is-small,html.theme--catppuccin-frappe #documenter 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select:not([multiple]){padding-right:2.5em}html.theme--catppuccin-frappe .select select[multiple]{height:auto;padding:0}html.theme--catppuccin-frappe .select select[multiple] option{padding:0.5em 1em}html.theme--catppuccin-frappe .select:not(.is-multiple):not(.is-loading):hover::after{border-color:#99d1db}html.theme--catppuccin-frappe .select.is-white:not(:hover)::after{border-color:#fff}html.theme--catppuccin-frappe .select.is-white select{border-color:#fff}html.theme--catppuccin-frappe .select.is-white select:hover,html.theme--catppuccin-frappe .select.is-white select.is-hovered{border-color:#f2f2f2}html.theme--catppuccin-frappe .select.is-white select:focus,html.theme--catppuccin-frappe .select.is-white select.is-focused,html.theme--catppuccin-frappe .select.is-white select:active,html.theme--catppuccin-frappe .select.is-white select.is-active{box-shadow:0 0 0 0.125em rgba(255,255,255,0.25)}html.theme--catppuccin-frappe 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select.is-focused,html.theme--catppuccin-frappe .select.is-dark select:active,html.theme--catppuccin-frappe .content kbd.select select:active,html.theme--catppuccin-frappe .select.is-dark select.is-active,html.theme--catppuccin-frappe .content kbd.select select.is-active{box-shadow:0 0 0 0.125em rgba(65,69,89,0.25)}html.theme--catppuccin-frappe .select.is-primary:not(:hover)::after,html.theme--catppuccin-frappe .docstring>section>a.select.docs-sourcelink:not(:hover)::after{border-color:#8caaee}html.theme--catppuccin-frappe .select.is-primary select,html.theme--catppuccin-frappe .docstring>section>a.select.docs-sourcelink select{border-color:#8caaee}html.theme--catppuccin-frappe .select.is-primary select:hover,html.theme--catppuccin-frappe .docstring>section>a.select.docs-sourcelink select:hover,html.theme--catppuccin-frappe .select.is-primary select.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.select.docs-sourcelink select.is-hovered{border-color:#769aeb}html.theme--catppuccin-frappe .select.is-primary select:focus,html.theme--catppuccin-frappe .docstring>section>a.select.docs-sourcelink select:focus,html.theme--catppuccin-frappe .select.is-primary select.is-focused,html.theme--catppuccin-frappe .docstring>section>a.select.docs-sourcelink select.is-focused,html.theme--catppuccin-frappe .select.is-primary select:active,html.theme--catppuccin-frappe .docstring>section>a.select.docs-sourcelink select:active,html.theme--catppuccin-frappe .select.is-primary select.is-active,html.theme--catppuccin-frappe .docstring>section>a.select.docs-sourcelink select.is-active{box-shadow:0 0 0 0.125em rgba(140,170,238,0.25)}html.theme--catppuccin-frappe .select.is-link:not(:hover)::after{border-color:#8caaee}html.theme--catppuccin-frappe .select.is-link select{border-color:#8caaee}html.theme--catppuccin-frappe .select.is-link select:hover,html.theme--catppuccin-frappe .select.is-link select.is-hovered{border-color:#769aeb}html.theme--catppuccin-frappe .select.is-link select:focus,html.theme--catppuccin-frappe .select.is-link select.is-focused,html.theme--catppuccin-frappe .select.is-link select:active,html.theme--catppuccin-frappe .select.is-link select.is-active{box-shadow:0 0 0 0.125em rgba(140,170,238,0.25)}html.theme--catppuccin-frappe .select.is-info:not(:hover)::after{border-color:#81c8be}html.theme--catppuccin-frappe .select.is-info select{border-color:#81c8be}html.theme--catppuccin-frappe .select.is-info select:hover,html.theme--catppuccin-frappe .select.is-info select.is-hovered{border-color:#6fc0b5}html.theme--catppuccin-frappe .select.is-info select:focus,html.theme--catppuccin-frappe .select.is-info select.is-focused,html.theme--catppuccin-frappe .select.is-info select:active,html.theme--catppuccin-frappe .select.is-info select.is-active{box-shadow:0 0 0 0.125em rgba(129,200,190,0.25)}html.theme--catppuccin-frappe 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a.navbar-item:focus,html.theme--catppuccin-frappe a.navbar-item:focus-within,html.theme--catppuccin-frappe a.navbar-item:hover,html.theme--catppuccin-frappe a.navbar-item.is-active,html.theme--catppuccin-frappe .navbar-link:focus,html.theme--catppuccin-frappe .navbar-link:focus-within,html.theme--catppuccin-frappe .navbar-link:hover,html.theme--catppuccin-frappe .navbar-link.is-active{background-color:rgba(0,0,0,0);color:#8caaee}html.theme--catppuccin-frappe .navbar-item{flex-grow:0;flex-shrink:0}html.theme--catppuccin-frappe .navbar-item img{max-height:1.75rem}html.theme--catppuccin-frappe .navbar-item.has-dropdown{padding:0}html.theme--catppuccin-frappe .navbar-item.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .navbar-item.is-tab{border-bottom:1px solid transparent;min-height:4rem;padding-bottom:calc(0.5rem - 1px)}html.theme--catppuccin-frappe .navbar-item.is-tab:focus,html.theme--catppuccin-frappe .navbar-item.is-tab:hover{background-color:rgba(0,0,0,0);border-bottom-color:#8caaee}html.theme--catppuccin-frappe .navbar-item.is-tab.is-active{background-color:rgba(0,0,0,0);border-bottom-color:#8caaee;border-bottom-style:solid;border-bottom-width:3px;color:#8caaee;padding-bottom:calc(0.5rem - 3px)}html.theme--catppuccin-frappe .navbar-content{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .navbar-link:not(.is-arrowless){padding-right:2.5em}html.theme--catppuccin-frappe .navbar-link:not(.is-arrowless)::after{border-color:#fff;margin-top:-0.375em;right:1.125em}html.theme--catppuccin-frappe .navbar-dropdown{font-size:0.875rem;padding-bottom:0.5rem;padding-top:0.5rem}html.theme--catppuccin-frappe .navbar-dropdown .navbar-item{padding-left:1.5rem;padding-right:1.5rem}html.theme--catppuccin-frappe .navbar-divider{background-color:rgba(0,0,0,0.2);border:none;display:none;height:2px;margin:0.5rem 0}@media screen and (max-width: 1055px){html.theme--catppuccin-frappe 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a.navbar-item:hover{background-color:rgba(0,0,0,0);color:#838ba7}html.theme--catppuccin-frappe .navbar-dropdown a.navbar-item.is-active{background-color:rgba(0,0,0,0);color:#8caaee}.navbar.is-spaced html.theme--catppuccin-frappe .navbar-dropdown,html.theme--catppuccin-frappe .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--catppuccin-frappe .navbar-dropdown.is-right{left:auto;right:0}html.theme--catppuccin-frappe .navbar-divider{display:block}html.theme--catppuccin-frappe .navbar>.container .navbar-brand,html.theme--catppuccin-frappe .container>.navbar .navbar-brand{margin-left:-.75rem}html.theme--catppuccin-frappe .navbar>.container .navbar-menu,html.theme--catppuccin-frappe .container>.navbar 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body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--catppuccin-frappe a.navbar-item.is-active,html.theme--catppuccin-frappe .navbar-link.is-active{color:#8caaee}html.theme--catppuccin-frappe a.navbar-item.is-active:not(:focus):not(:hover),html.theme--catppuccin-frappe .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--catppuccin-frappe .navbar-item.has-dropdown:focus .navbar-link,html.theme--catppuccin-frappe .navbar-item.has-dropdown:hover .navbar-link,html.theme--catppuccin-frappe .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--catppuccin-frappe .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--catppuccin-frappe .pagination{font-size:1rem;margin:-.25rem}html.theme--catppuccin-frappe .pagination.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.75rem}html.theme--catppuccin-frappe .pagination.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .pagination.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .pagination.is-rounded .pagination-previous,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination .pagination-previous,html.theme--catppuccin-frappe .pagination.is-rounded .pagination-next,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination .pagination-next{padding-left:1em;padding-right:1em;border-radius:9999px}html.theme--catppuccin-frappe .pagination.is-rounded .pagination-link,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination .pagination-link{border-radius:9999px}html.theme--catppuccin-frappe .pagination,html.theme--catppuccin-frappe .pagination-list{align-items:center;display:flex;justify-content:center;text-align:center}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe .pagination-link,html.theme--catppuccin-frappe .pagination-ellipsis{font-size:1em;justify-content:center;margin:.25rem;padding-left:.5em;padding-right:.5em;text-align:center}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe .pagination-link{border-color:#626880;color:#8caaee;min-width:2.5em}html.theme--catppuccin-frappe .pagination-previous:hover,html.theme--catppuccin-frappe .pagination-next:hover,html.theme--catppuccin-frappe .pagination-link:hover{border-color:#737994;color:#99d1db}html.theme--catppuccin-frappe .pagination-previous:focus,html.theme--catppuccin-frappe .pagination-next:focus,html.theme--catppuccin-frappe .pagination-link:focus{border-color:#737994}html.theme--catppuccin-frappe .pagination-previous:active,html.theme--catppuccin-frappe .pagination-next:active,html.theme--catppuccin-frappe .pagination-link:active{box-shadow:inset 0 1px 2px 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768px){html.theme--catppuccin-frappe .pagination{flex-wrap:wrap}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .pagination-list li{flex-grow:1;flex-shrink:1}}@media screen and (min-width: 769px),print{html.theme--catppuccin-frappe .pagination-list{flex-grow:1;flex-shrink:1;justify-content:flex-start;order:1}html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe .pagination-link,html.theme--catppuccin-frappe .pagination-ellipsis{margin-bottom:0;margin-top:0}html.theme--catppuccin-frappe .pagination-previous{order:2}html.theme--catppuccin-frappe .pagination-next{order:3}html.theme--catppuccin-frappe .pagination{justify-content:space-between;margin-bottom:0;margin-top:0}html.theme--catppuccin-frappe .pagination.is-centered .pagination-previous{order:1}html.theme--catppuccin-frappe .pagination.is-centered 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.button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black:focus,html.theme--catppuccin-latte .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black:focus:not(:active),html.theme--catppuccin-latte .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--catppuccin-latte .button.is-black:active,html.theme--catppuccin-latte .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-latte .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted:hover,html.theme--catppuccin-latte .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-outlined:hover,html.theme--catppuccin-latte .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-black.is-outlined:focus,html.theme--catppuccin-latte .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:hover,html.theme--catppuccin-latte .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:focus,html.theme--catppuccin-latte .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:focus:not(:active),html.theme--catppuccin-latte .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-latte .button.is-light:active,html.theme--catppuccin-latte .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-latte .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted:hover,html.theme--catppuccin-latte .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-outlined:hover,html.theme--catppuccin-latte .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-light.is-outlined:focus,html.theme--catppuccin-latte .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte 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kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-focused{background-color:#ccd0da;border-color:#ccd0da;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-primary,html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink{background-color:#1e66f5;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-primary:hover,html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-hovered,html.theme--catppuccin-latte .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#125ef4;border-color:transparent;color:#fff}html.theme--catppuccin-latte 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.button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-focused{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-success.is-light{background-color:#f1fbef;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:hover,html.theme--catppuccin-latte .button.is-success.is-light.is-hovered{background-color:#e8f8e5;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:active,html.theme--catppuccin-latte .button.is-success.is-light.is-active{background-color:#e0f5db;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:hover,html.theme--catppuccin-latte .button.is-warning.is-hovered{background-color:#d4871c;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus,html.theme--catppuccin-latte .button.is-warning.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus:not(:active),html.theme--catppuccin-latte .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(223,142,29,0.25)}html.theme--catppuccin-latte .button.is-warning:active,html.theme--catppuccin-latte .button.is-warning.is-active{background-color:#c8801a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:#df8e1d;box-shadow:none}html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-focused{background-color:#df8e1d;border-color:#df8e1d;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-focused{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-light{background-color:#fdf6ed;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:hover,html.theme--catppuccin-latte .button.is-warning.is-light.is-hovered{background-color:#fbf1e2;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:active,html.theme--catppuccin-latte .button.is-warning.is-light.is-active{background-color:#faebd6;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:hover,html.theme--catppuccin-latte .button.is-danger.is-hovered{background-color:#c60e36;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus,html.theme--catppuccin-latte .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus:not(:active),html.theme--catppuccin-latte .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(210,15,57,0.25)}html.theme--catppuccin-latte .button.is-danger:active,html.theme--catppuccin-latte .button.is-danger.is-active{background-color:#ba0d33;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:#d20f39;box-shadow:none}html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-focused{background-color:#d20f39;border-color:#d20f39;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-light{background-color:#feecf0;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:hover,html.theme--catppuccin-latte .button.is-danger.is-light.is-hovered{background-color:#fde0e6;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:active,html.theme--catppuccin-latte .button.is-danger.is-light.is-active{background-color:#fcd4dd;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-latte .button.is-small:not(.is-rounded),html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .button.is-normal{font-size:1rem}html.theme--catppuccin-latte .button.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .button.is-large{font-size:1.5rem}html.theme--catppuccin-latte .button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button{background-color:#9ca0b0;border-color:#acb0be;box-shadow:none;opacity:.5}html.theme--catppuccin-latte .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-latte .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-latte .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-latte .button.is-static{background-color:#e6e9ef;border-color:#acb0be;color:#8c8fa1;box-shadow:none;pointer-events:none}html.theme--catppuccin-latte .button.is-rounded,html.theme--catppuccin-latte #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--catppuccin-latte .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-latte .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-latte .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-latte .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-latte .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-latte .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-latte .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-latte .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-latte .buttons.has-addons .button:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-latte .buttons.has-addons .button:focus,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused,html.theme--catppuccin-latte .buttons.has-addons .button:active,html.theme--catppuccin-latte .buttons.has-addons .button.is-active,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-latte .buttons.has-addons .button:focus:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-latte .buttons.has-addons .button:active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-latte .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .buttons.is-centered{justify-content:center}html.theme--catppuccin-latte .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-latte .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-latte .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--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-latte .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-latte .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-latte .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-latte .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-latte .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-latte .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-latte .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-latte .content li+li{margin-top:0.25em}html.theme--catppuccin-latte .content p:not(:last-child),html.theme--catppuccin-latte .content dl:not(:last-child),html.theme--catppuccin-latte .content ol:not(:last-child),html.theme--catppuccin-latte .content ul:not(:last-child),html.theme--catppuccin-latte .content blockquote:not(:last-child),html.theme--catppuccin-latte .content pre:not(:last-child),html.theme--catppuccin-latte .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-latte .content h1,html.theme--catppuccin-latte .content h2,html.theme--catppuccin-latte .content h3,html.theme--catppuccin-latte .content h4,html.theme--catppuccin-latte .content h5,html.theme--catppuccin-latte .content h6{color:#4c4f69;font-weight:600;line-height:1.125}html.theme--catppuccin-latte .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-latte .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-latte .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-latte .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-latte .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-latte .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-latte .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-latte .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-latte .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-latte .content blockquote{background-color:#e6e9ef;border-left:5px solid #acb0be;padding:1.25em 1.5em}html.theme--catppuccin-latte .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-latte .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-latte .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-latte .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-latte .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-latte .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-latte .content ul ul ul{list-style-type:square}html.theme--catppuccin-latte .content dd{margin-left:2em}html.theme--catppuccin-latte .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-latte .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-latte .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-latte .content figure img{display:inline-block}html.theme--catppuccin-latte .content figure figcaption{font-style:italic}html.theme--catppuccin-latte .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-latte .content sup,html.theme--catppuccin-latte .content sub{font-size:75%}html.theme--catppuccin-latte .content table{width:100%}html.theme--catppuccin-latte .content table 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#documenter .docs-sidebar form.docs-search>input.file{font-size:.75rem}html.theme--catppuccin-latte .file.is-normal{font-size:1rem}html.theme--catppuccin-latte .file.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .file.is-medium .file-icon .fa{font-size:21px}html.theme--catppuccin-latte .file.is-large{font-size:1.5rem}html.theme--catppuccin-latte .file.is-large .file-icon .fa{font-size:28px}html.theme--catppuccin-latte .file.has-name .file-cta{border-bottom-right-radius:0;border-top-right-radius:0}html.theme--catppuccin-latte .file.has-name .file-name{border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .file.has-name.is-empty .file-cta{border-radius:.4em}html.theme--catppuccin-latte .file.has-name.is-empty .file-name{display:none}html.theme--catppuccin-latte .file.is-boxed .file-label{flex-direction:column}html.theme--catppuccin-latte .file.is-boxed .file-cta{flex-direction:column;height:auto;padding:1em 3em}html.theme--catppuccin-latte .file.is-boxed .file-name{border-width:0 1px 1px}html.theme--catppuccin-latte .file.is-boxed .file-icon{height:1.5em;width:1.5em}html.theme--catppuccin-latte .file.is-boxed .file-icon .fa{font-size:21px}html.theme--catppuccin-latte .file.is-boxed.is-small .file-icon .fa,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-boxed .file-icon .fa{font-size:14px}html.theme--catppuccin-latte .file.is-boxed.is-medium .file-icon .fa{font-size:28px}html.theme--catppuccin-latte .file.is-boxed.is-large .file-icon .fa{font-size:35px}html.theme--catppuccin-latte .file.is-boxed.has-name .file-cta{border-radius:.4em .4em 0 0}html.theme--catppuccin-latte .file.is-boxed.has-name .file-name{border-radius:0 0 .4em .4em;border-width:0 1px 1px}html.theme--catppuccin-latte .file.is-centered{justify-content:center}html.theme--catppuccin-latte .file.is-fullwidth .file-label{width:100%}html.theme--catppuccin-latte .file.is-fullwidth .file-name{flex-grow:1;max-width:none}html.theme--catppuccin-latte .file.is-right{justify-content:flex-end}html.theme--catppuccin-latte .file.is-right .file-cta{border-radius:0 .4em .4em 0}html.theme--catppuccin-latte .file.is-right .file-name{border-radius:.4em 0 0 .4em;border-width:1px 0 1px 1px;order:-1}html.theme--catppuccin-latte .file-label{align-items:stretch;display:flex;cursor:pointer;justify-content:flex-start;overflow:hidden;position:relative}html.theme--catppuccin-latte .file-label:hover .file-cta{background-color:#c5c9d5;color:#41445a}html.theme--catppuccin-latte .file-label:hover .file-name{border-color:#a5a9b8}html.theme--catppuccin-latte .file-label:active .file-cta{background-color:#bdc2cf;color:#41445a}html.theme--catppuccin-latte .file-label:active .file-name{border-color:#9ea2b3}html.theme--catppuccin-latte .file-input{height:100%;left:0;opacity:0;outline:none;position:absolute;top:0;width:100%}html.theme--catppuccin-latte .file-cta,html.theme--catppuccin-latte .file-name{border-color:#acb0be;border-radius:.4em;font-size:1em;padding-left:1em;padding-right:1em;white-space:nowrap}html.theme--catppuccin-latte .file-cta{background-color:#ccd0da;color:#4c4f69}html.theme--catppuccin-latte .file-name{border-color:#acb0be;border-style:solid;border-width:1px 1px 1px 0;display:block;max-width:16em;overflow:hidden;text-align:inherit;text-overflow:ellipsis}html.theme--catppuccin-latte .file-icon{align-items:center;display:flex;height:1em;justify-content:center;margin-right:.5em;width:1em}html.theme--catppuccin-latte .file-icon .fa{font-size:14px}html.theme--catppuccin-latte .label{color:#41445a;display:block;font-size:1rem;font-weight:700}html.theme--catppuccin-latte .label:not(:last-child){margin-bottom:0.5em}html.theme--catppuccin-latte .label.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.label{font-size:.75rem}html.theme--catppuccin-latte .label.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .label.is-large{font-size:1.5rem}html.theme--catppuccin-latte .help{display:block;font-size:.75rem;margin-top:0.25rem}html.theme--catppuccin-latte .help.is-white{color:#fff}html.theme--catppuccin-latte .help.is-black{color:#0a0a0a}html.theme--catppuccin-latte .help.is-light{color:#f5f5f5}html.theme--catppuccin-latte .help.is-dark,html.theme--catppuccin-latte .content kbd.help{color:#ccd0da}html.theme--catppuccin-latte .help.is-primary,html.theme--catppuccin-latte .docstring>section>a.help.docs-sourcelink{color:#1e66f5}html.theme--catppuccin-latte .help.is-link{color:#1e66f5}html.theme--catppuccin-latte .help.is-info{color:#179299}html.theme--catppuccin-latte .help.is-success{color:#40a02b}html.theme--catppuccin-latte .help.is-warning{color:#df8e1d}html.theme--catppuccin-latte .help.is-danger{color:#d20f39}html.theme--catppuccin-latte .field:not(:last-child){margin-bottom:0.75rem}html.theme--catppuccin-latte .field.has-addons{display:flex;justify-content:flex-start}html.theme--catppuccin-latte .field.has-addons .control:not(:last-child){margin-right:-1px}html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .button,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .input,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .select select{border-radius:0}html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .button,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .input,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .select select{border-bottom-right-radius:0;border-top-right-radius:0}html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .button,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .input,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .select select{border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-hovered:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-hovered:not([disabled]){z-index:2}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .button.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .button.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):focus,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .input.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-focused:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):active,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .input.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-active:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .select select.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .select select.is-active:not([disabled]){z-index:3}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):focus:hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):active:hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-active:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-active:not([disabled]):hover{z-index:4}html.theme--catppuccin-latte .field.has-addons .control.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .field.has-addons.has-addons-centered{justify-content:center}html.theme--catppuccin-latte .field.has-addons.has-addons-right{justify-content:flex-end}html.theme--catppuccin-latte .field.has-addons.has-addons-fullwidth .control{flex-grow:1;flex-shrink:0}html.theme--catppuccin-latte .field.is-grouped{display:flex;justify-content:flex-start}html.theme--catppuccin-latte .field.is-grouped>.control{flex-shrink:0}html.theme--catppuccin-latte .field.is-grouped>.control:not(:last-child){margin-bottom:0;margin-right:.75rem}html.theme--catppuccin-latte .field.is-grouped>.control.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .field.is-grouped.is-grouped-centered{justify-content:center}html.theme--catppuccin-latte .field.is-grouped.is-grouped-right{justify-content:flex-end}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline{flex-wrap:wrap}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline>.control:last-child,html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline>.control:not(:last-child){margin-bottom:0.75rem}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline:last-child{margin-bottom:-0.75rem}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline:not(:last-child){margin-bottom:0}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .field.is-horizontal{display:flex}}html.theme--catppuccin-latte .field-label .label{font-size:inherit}@media screen and (max-width: 768px){html.theme--catppuccin-latte .field-label{margin-bottom:0.5rem}}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .field-label{flex-basis:0;flex-grow:1;flex-shrink:0;margin-right:1.5rem;text-align:right}html.theme--catppuccin-latte .field-label.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.field-label{font-size:.75rem;padding-top:0.375em}html.theme--catppuccin-latte .field-label.is-normal{padding-top:0.375em}html.theme--catppuccin-latte .field-label.is-medium{font-size:1.25rem;padding-top:0.375em}html.theme--catppuccin-latte .field-label.is-large{font-size:1.5rem;padding-top:0.375em}}html.theme--catppuccin-latte .field-body .field .field{margin-bottom:0}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .field-body{display:flex;flex-basis:0;flex-grow:5;flex-shrink:1}html.theme--catppuccin-latte .field-body .field{margin-bottom:0}html.theme--catppuccin-latte .field-body>.field{flex-shrink:1}html.theme--catppuccin-latte .field-body>.field:not(.is-narrow){flex-grow:1}html.theme--catppuccin-latte .field-body>.field:not(:last-child){margin-right:.75rem}}html.theme--catppuccin-latte .control{box-sizing:border-box;clear:both;font-size:1rem;position:relative;text-align:inherit}html.theme--catppuccin-latte .control.has-icons-left .input:focus~.icon,html.theme--catppuccin-latte .control.has-icons-left #documenter .docs-sidebar form.docs-search>input:focus~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-left form.docs-search>input:focus~.icon,html.theme--catppuccin-latte .control.has-icons-left .select:focus~.icon,html.theme--catppuccin-latte .control.has-icons-right .input:focus~.icon,html.theme--catppuccin-latte .control.has-icons-right #documenter .docs-sidebar form.docs-search>input:focus~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-right form.docs-search>input:focus~.icon,html.theme--catppuccin-latte .control.has-icons-right .select:focus~.icon{color:#ccd0da}html.theme--catppuccin-latte .control.has-icons-left .input.is-small~.icon,html.theme--catppuccin-latte .control.has-icons-left #documenter .docs-sidebar form.docs-search>input~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-left form.docs-search>input~.icon,html.theme--catppuccin-latte .control.has-icons-left .select.is-small~.icon,html.theme--catppuccin-latte .control.has-icons-right .input.is-small~.icon,html.theme--catppuccin-latte .control.has-icons-right #documenter .docs-sidebar form.docs-search>input~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-right form.docs-search>input~.icon,html.theme--catppuccin-latte .control.has-icons-right .select.is-small~.icon{font-size:.75rem}html.theme--catppuccin-latte .control.has-icons-left .input.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-left #documenter .docs-sidebar form.docs-search>input.is-medium~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-left form.docs-search>input.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-left .select.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-right .input.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-right #documenter .docs-sidebar form.docs-search>input.is-medium~.icon,html.theme--catppuccin-latte #documenter .docs-sidebar .control.has-icons-right form.docs-search>input.is-medium~.icon,html.theme--catppuccin-latte .control.has-icons-right .select.is-medium~.icon{font-size:1.25rem}html.theme--catppuccin-latte .control.has-icons-left 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kbd.button.is-outlined{background-color:transparent;border-color:#363a4f;box-shadow:none;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-macchiato .content 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.button.is-info.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-focused{background-color:#8bd5ca;border-color:#8bd5ca;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-outlined{background-color:transparent;border-color:#8bd5ca;box-shadow:none;color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-light{background-color:#f0faf8;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:hover,html.theme--catppuccin-macchiato .button.is-info.is-light.is-hovered{background-color:#e7f6f4;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:active,html.theme--catppuccin-macchiato .button.is-info.is-light.is-active{background-color:#ddf3f0;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:hover,html.theme--catppuccin-macchiato .button.is-success.is-hovered{background-color:#9ed78c;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus,html.theme--catppuccin-macchiato .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus:not(:active),html.theme--catppuccin-macchiato .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,218,149,0.25)}html.theme--catppuccin-macchiato .button.is-success:active,html.theme--catppuccin-macchiato .button.is-success.is-active{background-color:#96d382;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:#a6da95;box-shadow:none}html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-focused{background-color:#a6da95;border-color:#a6da95;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-light{background-color:#f2faf0;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:hover,html.theme--catppuccin-macchiato .button.is-success.is-light.is-hovered{background-color:#eaf6e6;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:active,html.theme--catppuccin-macchiato .button.is-success.is-light.is-active{background-color:#e2f3dd;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:hover,html.theme--catppuccin-macchiato .button.is-warning.is-hovered{background-color:#eccf94;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus,html.theme--catppuccin-macchiato .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus:not(:active),html.theme--catppuccin-macchiato .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(238,212,159,0.25)}html.theme--catppuccin-macchiato .button.is-warning:active,html.theme--catppuccin-macchiato .button.is-warning.is-active{background-color:#eaca89;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:#eed49f;box-shadow:none}html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-focused{background-color:#eed49f;border-color:#eed49f;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-light{background-color:#fcf7ee;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:hover,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-hovered{background-color:#faf2e3;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:active,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-active{background-color:#f8eed8;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:hover,html.theme--catppuccin-macchiato .button.is-danger.is-hovered{background-color:#eb7c8c;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus,html.theme--catppuccin-macchiato .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus:not(:active),html.theme--catppuccin-macchiato .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(237,135,150,0.25)}html.theme--catppuccin-macchiato .button.is-danger:active,html.theme--catppuccin-macchiato .button.is-danger.is-active{background-color:#ea7183;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:#ed8796;box-shadow:none}html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-focused{background-color:#ed8796;border-color:#ed8796;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-light{background-color:#fcedef;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:hover,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-hovered{background-color:#fbe2e6;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:active,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-active{background-color:#f9d7dc;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-small:not(.is-rounded),html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .button.is-normal{font-size:1rem}html.theme--catppuccin-macchiato .button.is-medium{font-size:1.25rem}html.theme--catppuccin-macchiato .button.is-large{font-size:1.5rem}html.theme--catppuccin-macchiato .button[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button{background-color:#6e738d;border-color:#5b6078;box-shadow:none;opacity:.5}html.theme--catppuccin-macchiato .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-macchiato .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-macchiato .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-macchiato .button.is-static{background-color:#1e2030;border-color:#5b6078;color:#8087a2;box-shadow:none;pointer-events:none}html.theme--catppuccin-macchiato .button.is-rounded,html.theme--catppuccin-macchiato #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--catppuccin-macchiato .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-macchiato .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-macchiato .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-macchiato .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-macchiato .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-macchiato .buttons.are-small 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.container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-macchiato .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-macchiato .content li+li{margin-top:0.25em}html.theme--catppuccin-macchiato .content p:not(:last-child),html.theme--catppuccin-macchiato .content dl:not(:last-child),html.theme--catppuccin-macchiato .content ol:not(:last-child),html.theme--catppuccin-macchiato .content ul:not(:last-child),html.theme--catppuccin-macchiato .content blockquote:not(:last-child),html.theme--catppuccin-macchiato .content pre:not(:last-child),html.theme--catppuccin-macchiato .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-macchiato .content h1,html.theme--catppuccin-macchiato .content h2,html.theme--catppuccin-macchiato .content h3,html.theme--catppuccin-macchiato .content h4,html.theme--catppuccin-macchiato .content h5,html.theme--catppuccin-macchiato .content 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ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-macchiato .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-macchiato .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-macchiato .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-macchiato .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-macchiato .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-macchiato .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-macchiato .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-macchiato .content ul ul ul{list-style-type:square}html.theme--catppuccin-macchiato .content dd{margin-left:2em}html.theme--catppuccin-macchiato .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-macchiato 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form.docs-search>input.is-active{box-shadow:0 0 0 0.125em rgba(255,255,255,0.25)}html.theme--catppuccin-macchiato .is-black.textarea,html.theme--catppuccin-macchiato .is-black.input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black{border-color:#0a0a0a}html.theme--catppuccin-macchiato .is-black.textarea:focus,html.theme--catppuccin-macchiato .is-black.input:focus,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black:focus,html.theme--catppuccin-macchiato .is-black.is-focused.textarea,html.theme--catppuccin-macchiato .is-black.is-focused.input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-focused,html.theme--catppuccin-macchiato .is-black.textarea:active,html.theme--catppuccin-macchiato .is-black.input:active,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black:active,html.theme--catppuccin-macchiato 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html.theme--catppuccin-mocha .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-link.is-light{background-color:#ebf3fe;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:hover,html.theme--catppuccin-mocha .button.is-link.is-light.is-hovered{background-color:#dfebfe;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:active,html.theme--catppuccin-mocha .button.is-link.is-light.is-active{background-color:#d3e3fd;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:hover,html.theme--catppuccin-mocha .button.is-info.is-hovered{background-color:#8adfd1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus,html.theme--catppuccin-mocha .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus:not(:active),html.theme--catppuccin-mocha .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(148,226,213,0.25)}html.theme--catppuccin-mocha .button.is-info:active,html.theme--catppuccin-mocha .button.is-info.is-active{background-color:#80ddcd;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:#94e2d5;box-shadow:none}html.theme--catppuccin-mocha .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted:hover,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-outlined:focus,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-focused{background-color:#94e2d5;border-color:#94e2d5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #94e2d5 #94e2d5 !important}html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #94e2d5 #94e2d5 !important}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-light{background-color:#effbf9;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:hover,html.theme--catppuccin-mocha .button.is-info.is-light.is-hovered{background-color:#e5f8f5;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:active,html.theme--catppuccin-mocha .button.is-info.is-light.is-active{background-color:#dbf5f1;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:hover,html.theme--catppuccin-mocha .button.is-success.is-hovered{background-color:#9de097;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus,html.theme--catppuccin-mocha .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus:not(:active),html.theme--catppuccin-mocha .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,227,161,0.25)}html.theme--catppuccin-mocha .button.is-success:active,html.theme--catppuccin-mocha .button.is-success.is-active{background-color:#93dd8d;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:#a6e3a1;box-shadow:none}html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-focused{background-color:#a6e3a1;border-color:#a6e3a1;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-light{background-color:#f0faef;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:hover,html.theme--catppuccin-mocha .button.is-success.is-light.is-hovered{background-color:#e7f7e5;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:active,html.theme--catppuccin-mocha .button.is-success.is-light.is-active{background-color:#def4dc;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:hover,html.theme--catppuccin-mocha .button.is-warning.is-hovered{background-color:#f8dea3;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus,html.theme--catppuccin-mocha .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus:not(:active),html.theme--catppuccin-mocha .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(249,226,175,0.25)}html.theme--catppuccin-mocha .button.is-warning:active,html.theme--catppuccin-mocha .button.is-warning.is-active{background-color:#f7d997;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:#f9e2af;box-shadow:none}html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-focused{background-color:#f9e2af;border-color:#f9e2af;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-light{background-color:#fef8ec;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:hover,html.theme--catppuccin-mocha .button.is-warning.is-light.is-hovered{background-color:#fdf4e0;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:active,html.theme--catppuccin-mocha .button.is-warning.is-light.is-active{background-color:#fcf0d4;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:hover,html.theme--catppuccin-mocha .button.is-danger.is-hovered{background-color:#f27f9f;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus,html.theme--catppuccin-mocha .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus:not(:active),html.theme--catppuccin-mocha .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(243,139,168,0.25)}html.theme--catppuccin-mocha .button.is-danger:active,html.theme--catppuccin-mocha .button.is-danger.is-active{background-color:#f17497;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:#f38ba8;box-shadow:none}html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-focused{background-color:#f38ba8;border-color:#f38ba8;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-light{background-color:#fdedf1;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:hover,html.theme--catppuccin-mocha .button.is-danger.is-light.is-hovered{background-color:#fce1e8;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:active,html.theme--catppuccin-mocha .button.is-danger.is-light.is-active{background-color:#fbd5e0;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-mocha .button.is-small:not(.is-rounded),html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .button.is-normal{font-size:1rem}html.theme--catppuccin-mocha .button.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .button.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .button[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button{background-color:#6c7086;border-color:#585b70;box-shadow:none;opacity:.5}html.theme--catppuccin-mocha .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-mocha .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-mocha .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-mocha .button.is-static{background-color:#181825;border-color:#585b70;color:#7f849c;box-shadow:none;pointer-events:none}html.theme--catppuccin-mocha .button.is-rounded,html.theme--catppuccin-mocha #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--catppuccin-mocha .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-mocha .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-mocha .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-mocha .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-mocha .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-mocha .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-mocha .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-mocha .buttons.has-addons .button:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-mocha .buttons.has-addons .button:focus,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused,html.theme--catppuccin-mocha .buttons.has-addons .button:active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-mocha .buttons.has-addons .button:focus:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-mocha .buttons.has-addons .button:active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-mocha .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-mocha .buttons.is-centered{justify-content:center}html.theme--catppuccin-mocha .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-mocha .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-mocha .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--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-mocha .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-mocha .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-mocha .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-mocha .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-mocha .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-mocha .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-mocha .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-mocha .content li+li{margin-top:0.25em}html.theme--catppuccin-mocha .content p:not(:last-child),html.theme--catppuccin-mocha .content dl:not(:last-child),html.theme--catppuccin-mocha .content ol:not(:last-child),html.theme--catppuccin-mocha .content ul:not(:last-child),html.theme--catppuccin-mocha .content blockquote:not(:last-child),html.theme--catppuccin-mocha .content pre:not(:last-child),html.theme--catppuccin-mocha .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-mocha .content h1,html.theme--catppuccin-mocha .content h2,html.theme--catppuccin-mocha .content h3,html.theme--catppuccin-mocha .content h4,html.theme--catppuccin-mocha .content h5,html.theme--catppuccin-mocha .content h6{color:#cdd6f4;font-weight:600;line-height:1.125}html.theme--catppuccin-mocha .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-mocha .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-mocha .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-mocha .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-mocha .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-mocha .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-mocha .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-mocha .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-mocha .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-mocha .content blockquote{background-color:#181825;border-left:5px solid #585b70;padding:1.25em 1.5em}html.theme--catppuccin-mocha .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-mocha .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-mocha .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-mocha .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-mocha .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-mocha .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-mocha .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-mocha .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-mocha .content ul ul ul{list-style-type:square}html.theme--catppuccin-mocha .content dd{margin-left:2em}html.theme--catppuccin-mocha .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-mocha .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-mocha .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-mocha .content figure img{display:inline-block}html.theme--catppuccin-mocha .content figure figcaption{font-style:italic}html.theme--catppuccin-mocha .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-mocha .content sup,html.theme--catppuccin-mocha .content sub{font-size:75%}html.theme--catppuccin-mocha .content table{width:100%}html.theme--catppuccin-mocha .content table td,html.theme--catppuccin-mocha .content table th{border:1px solid #585b70;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-mocha .content table th{color:#b8c5ef}html.theme--catppuccin-mocha .content table th:not([align]){text-align:inherit}html.theme--catppuccin-mocha .content table thead td,html.theme--catppuccin-mocha .content table thead th{border-width:0 0 2px;color:#b8c5ef}html.theme--catppuccin-mocha .content table tfoot td,html.theme--catppuccin-mocha .content table tfoot th{border-width:2px 0 0;color:#b8c5ef}html.theme--catppuccin-mocha .content table tbody tr:last-child td,html.theme--catppuccin-mocha .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-mocha .content .tabs li+li{margin-top:0}html.theme--catppuccin-mocha .content.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-mocha .content.is-normal{font-size:1rem}html.theme--catppuccin-mocha .content.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .content.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-mocha .icon.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-mocha .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-mocha .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-mocha .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-mocha .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-mocha .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-mocha .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-mocha div.icon-text{display:flex}html.theme--catppuccin-mocha .image,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-mocha .image img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-mocha .image img.is-rounded,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-mocha .image.is-fullwidth,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-mocha .image.is-square img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-mocha .image.is-square .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-mocha .image.is-1by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar 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.has-ratio,html.theme--catppuccin-mocha .image.is-5by3 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-mocha .image.is-5by3 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-mocha .image.is-16by9 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-mocha .image.is-16by9 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-mocha .image.is-2by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-mocha .image.is-2by1 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-mocha .image.is-3by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-mocha 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img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-mocha .image.is-3by5 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--catppuccin-mocha .image.is-9by16 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--catppuccin-mocha .image.is-9by16 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--catppuccin-mocha .image.is-1by2 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--catppuccin-mocha .image.is-1by2 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--catppuccin-mocha .image.is-1by3 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--catppuccin-mocha .image.is-1by3 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by3 .has-ratio{height:100%;width:100%}html.theme--catppuccin-mocha .image.is-square,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square,html.theme--catppuccin-mocha .image.is-1by1,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by1{padding-top:100%}html.theme--catppuccin-mocha .image.is-5by4,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by4{padding-top:80%}html.theme--catppuccin-mocha .image.is-4by3,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-4by3{padding-top:75%}html.theme--catppuccin-mocha .image.is-3by2,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by2{padding-top:66.6666%}html.theme--catppuccin-mocha .image.is-5by3,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3{padding-top:60%}html.theme--catppuccin-mocha .image.is-16by9,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9{padding-top:56.25%}html.theme--catppuccin-mocha .image.is-2by1,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1{padding-top:50%}html.theme--catppuccin-mocha .image.is-3by1,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by1{padding-top:33.3333%}html.theme--catppuccin-mocha .image.is-4by5,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-4by5{padding-top:125%}html.theme--catppuccin-mocha .image.is-3by4,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by4{padding-top:133.3333%}html.theme--catppuccin-mocha .image.is-2by3,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by3{padding-top:150%}html.theme--catppuccin-mocha .image.is-3by5,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5{padding-top:166.6666%}html.theme--catppuccin-mocha .image.is-9by16,html.theme--catppuccin-mocha #documenter 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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:#fbefef;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#f8e6e5;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#f6dcda;border-color:transparent;color:#c03930}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 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.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 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h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content blockquote{background-color:#282f2f;border-left:5px solid #5e6d6f;padding:1.25em 1.5em}html.theme--documenter-dark .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ol:not([type]){list-style-type:decimal}html.theme--documenter-dark .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--documenter-dark .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--documenter-dark .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--documenter-dark .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--documenter-dark .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--documenter-dark .content ul ul ul{list-style-type:square}html.theme--documenter-dark .content dd{margin-left:2em}html.theme--documenter-dark .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--documenter-dark .content figure:not(:first-child){margin-top:2em}html.theme--documenter-dark .content figure:not(:last-child){margin-bottom:2em}html.theme--documenter-dark .content figure img{display:inline-block}html.theme--documenter-dark .content figure figcaption{font-style:italic}html.theme--documenter-dark .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--documenter-dark .content sup,html.theme--documenter-dark .content sub{font-size:75%}html.theme--documenter-dark .content table{width:100%}html.theme--documenter-dark .content table td,html.theme--documenter-dark .content table th{border:1px solid #5e6d6f;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--documenter-dark .content table th{color:#f2f2f2}html.theme--documenter-dark .content table th:not([align]){text-align:inherit}html.theme--documenter-dark .content table thead td,html.theme--documenter-dark .content table thead th{border-width:0 0 2px;color:#f2f2f2}html.theme--documenter-dark .content table tfoot td,html.theme--documenter-dark .content table tfoot th{border-width:2px 0 0;color:#f2f2f2}html.theme--documenter-dark .content table tbody tr:last-child td,html.theme--documenter-dark .content table tbody tr:last-child th{border-bottom-width:0}html.theme--documenter-dark .content .tabs li+li{margin-top:0}html.theme--documenter-dark .content.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--documenter-dark .content.is-normal{font-size:1rem}html.theme--documenter-dark .content.is-medium{font-size:1.25rem}html.theme--documenter-dark .content.is-large{font-size:1.5rem}html.theme--documenter-dark 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.hljs-string{color:#38a}.hljs-emphasis{font-style:italic}.hljs-strong{font-weight:bold}.gap-4{gap:1rem} diff --git a/v1.10.2/assets/themeswap.js b/v1.10.2/assets/themeswap.js new file mode 100644 index 00000000..9f5eebe6 --- /dev/null +++ b/v1.10.2/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/v1.10.2/assets/warner.js b/v1.10.2/assets/warner.js new file mode 100644 index 00000000..3f6f5d00 --- /dev/null +++ b/v1.10.2/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/v1.10.2/binnedpointlist/index.html b/v1.10.2/binnedpointlist/index.html new file mode 100644 index 00000000..745c7338 --- /dev/null +++ b/v1.10.2/binnedpointlist/index.html @@ -0,0 +1,2 @@ + +BinnedPointList · ExtendableGrids.jl

    BinnedPointList

    Used to find and identify points in space

    API

    ExtendableGrids.BinnedPointListType
    mutable struct BinnedPointList{T}

    Binned point list structure allowing for fast check for already existing points.

    This provides better performance for indendifying already inserted points than the naive linear search.

    OTOH the implementation is still quite naive - it dynamically maintains a cuboid binning region with a fixed number of bins.

    Probably tree based adaptive methods (a la octree) will be more efficient, however they will be harder to implement.

    In an ideal world, we would maintain a dynamic Delaunay triangulation, which at once could be the starting point of mesh generation which will follow here anyway.

    • dim::Int32: Space dimension
    • tol::Any: Point distance tolerance. Points closer than tol (in Euclidean distance) will be identified, i.e. are collapsed to the first inserted.
    • binning_region_min::Vector: " The union of all bins is the binning region - a cuboid given by two of its corners. It is calculated dynamically depending on the inserted points.
    • binning_region_max::Vector

    • binning_region_increase_factor::Any: Increase factor of binning region (with respect to the cuboid defined by the coordinates of the binned points)

    • points::ElasticArrays.ElasticArray{T, 2, M, V} where {T, M, V<:DenseVector{T}}: The actual point list
    • bins::Array{Vector{Int32}}: The bins are vectors of indices of points in the point list We store them in a dim-dimensional array of length "numberofdirectional_bins^dim"
    • number_of_directional_bins::Int32: Number of bins in each space dimension
    • unbinned::Vector{Int32}: Some points will fall outside of the binning region. We collect them in vector of ubinned point indices
    • num_allowed_unbinned_points::Int32: Number of unbinned points tolerated without rebinning
    • max_unbinned_ratio::Any: Maximum ratio of unbinned points in point list
    • current_bin::Vector{Int32}: Storage of current point bin
    source
    ExtendableGrids.findpointFunction
    findpoint(binnedpointlist, p)

    Find point in binned point list. Return its index in the point list if found, otherwise return 0.

    source
    Base.insert!Function
     Base.insert!(binnedpointlist,p)

    If another point with distance less the tol from p is in pointlist, return its index. Otherwise, insert point into pointlist. p may be a vector or a tuple.

    source
     Base.insert!(binnedpointlist,x)

    Insert 1D point via coordinate.

    source
     Base.insert!(binnedpointlist,x,y,z)

    Insert 3D point via coordinates.

    source

    Internal

    ExtendableGrids._findpointFunction
    _findpoint(binnedpointlist, index, p)

    Find point in index list (by linear search) Return its index, or zero if not found

    source
    ExtendableGrids._rebin_all_points!Function
    _rebin_all_points!(bpl)

    Re-calculate binning if there are too many unbinned points This amounts to two steps:

    • Enlarge binning area in order to include all points
    • Re-calculate all point bins
    source
    ExtendableGrids.naiveinsert!Function
    naiveinsert(binnedpointlist, p)

    Insert via linear search, without any binning. Just for being able to check of all of the above was worth the effort...

    source
    diff --git a/v1.10.2/cellfinder/index.html b/v1.10.2/cellfinder/index.html new file mode 100644 index 00000000..bdef1263 --- /dev/null +++ b/v1.10.2/cellfinder/index.html @@ -0,0 +1,2 @@ + +Search and Interpolation · ExtendableGrids.jl

    Search and Interpolation

    ExtendableGrids.gFindLocal!Function
    icellfound=GFindLocal!(xref,cellfinder,p; icellstart=1,eps=1.0e-14, trybrute=true)

    Find cell containing point p starting with cell number icellstart.

    Returns cell number if found, zero otherwise. If trybrute==true try gFindBruteForce! before giving up. Upon return, xref contains the barycentric coordinates of the point in the sequence dim+1, 1...dim

    Warning

    Currently implemented for simplex grids only.

    source
    ExtendableGrids.gFindBruteForce!Function
    icellfound=gFindBruteForce!(xref,cellfinder,p; icellstart=1,eps=1.0e-14)

    Find cell containing point p starting with cell number icellstart.

    Returns cell number if found, zero otherwise. Upon return, xref contains the barycentric coordinates of the point in the sequence dim+1, 1...dim

    Warning

    Currently implemented for simplex grids only.

    source

    Interpolation

    ExtendableGrids.interpolateFunction
    u_to=interpolate(grid_to, u_from, grid_from;eps=1.0e-14,trybrute=true)

    Piecewise linear interpolation of function u_from on grid grid_from to grid_to. Works for matrices with second dimension corresponding to grid nodes and for vectors.

    Warning

    May be slow on non-convex domains. If trybrute==false it may even fail.

    Warning

    Currently implemented for simplex grids only.

    source
    diff --git a/v1.10.2/changes/index.html b/v1.10.2/changes/index.html new file mode 100644 index 00000000..0ff66e4d --- /dev/null +++ b/v1.10.2/changes/index.html @@ -0,0 +1,2 @@ + +Changes · ExtendableGrids.jl

    Changelog

    [1.10.0] - 2024-09-29

    • Allow to map funtions with vector arguments onto grid E.g. for f(x)=sum(x) one can now do map(f,grid).
    • Make parts of simplexgrid constructor optional. E.g. it is possible now to do just simplexgrid(coord, cellnodes). In that case, e.g. grid[BFaceRegions] will return a zero length vector.

    [1.9.0] - 2024-07-07

    • Add edge partitioning induced from cell partitioning
    • Overhaul of partitioning API

    [1.8.0] - 2024-06-24

    • Correct node partitioning
    • extended sg file format v2.2 with partitioning info
    • Recursive metis partitioning

    [1.7.0] - 2024-06-17

    • Partitioning for multithreading
    • Metis extension
    • extended subgrid method (new argument 'support' can be ON_CELLS, ON_BFACES, ON_FACES)
    • SubGrid type has now a parameter that knows the support relative to parent grid, removed BoundarySubGrid type
    • removed get_facegrid, get_bfacegrid, get_edgegrid in derived.jl (that offer no new functionality compared to subgrid)
    • fixed default behaviour for coordinatesystem and restricted 1D coordinate sorting to project = true

    [1.6.1] - 2024-06-07

    • Drop support of Julia 1.6. Minimum Julia version is 1.9
    • TetGen + Triangulate extensions
    • png instead of svg in docs

    [1.5.1] - 2024-05-06

    • Grid consistency check
    • Gmsh 0.3

    [1.4.0] - 2024-03-21

    Features

    • Move binnedpointlist to ExtendableGrids

    • New grid glueing algorithm using BinnedPointList

    • Fix docs, test

    • Merge pull request #42 from j-fu/mvbinned

    Move binned pointlist over here and use it for glueing

    • Update! function to trigger reinstantioation of grid components; instantiate of Volumes components and FaceNormals and EdgeTangents keep existing arrays.

    • Merge pull request #41 from chmerdon/master

    Reinstantiation of CellVolumes, FaceNormals etc.

    [1.3.2] - 2024-03-08

    Features

    • Fix documentation, all docstrings in output

    • Update ci for apple silicon

    • Add docstrings for commongrids

    • Add Aqua.jl tests

    • SimplexGridFactory isn't differently licensed

    • Bump patch version

    [1.3.1] - 2024-02-20

    Features

    • Fix subgrid coordinate system for boundary grids (#38)

    • fix subgrid coordinate system for boundary grids

    • use ExampleJuggler v2 (no Pluto dependency due to extensions)

    [1.3.0] - 2024-02-05

    Features

    • Merge branch 'master' of https://github.com/chmerdon/ExtendableGrids.jl

    • New grid components ParentGridRelation, FaceParents, CellParents, BFaceParents,

    some of them are now directly set during subgrid or refinement routines (todo: set BFaceParents also in refinements)

    • Small fix

    • Small fix

    • Added BFaceParents to all refinement routines and some tests

    • Renamed NodeInParent to NodeParents, added a deprecated warning on this

    • New grid components ParentGridRelation, FaceParents, CellParents, BFaceParents,

    some of them are now directly set during subgrid or refinement routines (todo: set BFaceParents also in refinements)

    • Small fix

    • Small fix

    • Added BFaceParents to all refinement routines and some tests

    • Renamed NodeInParent to NodeParents, added a deprecated warning on this

    • Merge branch 'master' of github.com:j-fu/ExtendableGrids.jl

    [1.2.3] - 2024-01-19

    Features

    • Fix for subgrid in case there is empty boundary data in the parent grid (or probably also when the subgrid lies completely in the interior)

    • Modified the subgrid+extrusion test a bit to test if a subgrid for a completely interior region works (and it only does with the previous modifications)

    • Fix for subgrid in case there is empty boundary data (#36)

    • fix for subgrid in case there is empty boundary data in the parent grid (or probably also when the subgrid lies completely in the interior)

    • modified the subgrid+extrusion test a bit to test if a subgrid for a completely interior region works (and it only does with the previous modifications)
    • Bump patch version

    [1.2.2] - 2023-11-29

    Features

    • Add more gmsh stuff

    • handle geo files

    • allow for simplexgrid("my.msh") and simplexgrid("my.geo")

    • allow for `write("my.msh",grid)

    • file handling with gmsh initializes and finalizes

    • Bump version

    [1.2.1] - 2023-11-28

    Features

    • Bugfixes for gmsh extension

    • handle node tags properly

    • add more examples from gmsh docs

    [1.2.0] - 2023-11-23

    Features

    • Gmsh extension3 (#34)

    • Update ExtendableGridsGmshExt.jl

    • Add the seal function

    Computes the boundary faces of an incomplete simplexgrid and adds them to it

    • simplexgrid + mixedgrid functions for the gmsh extension are defined
    • add tests with different types (of indices & coordinates) for gmsh Y ExtendableGrids
    • add gmsh geometry description test
    • Document the gmsh stuff

    Co-authored-by: Jürgen Fuhrmann <juergen-fuhrmann@web.de>

    • Use ExampleJuggler (#35)

    • moved tests to examplejuggler

    • move documentation to examplejuggler

    • Add gmsh example

    • Small readme+docs update

    • Add J. Taraz to author lists

    [1.1.0] - 2023-07-25

    Features

    • Update Project.toml

    change Project.toml to incorporate the extension

    • Create ExtendableGridsGmshExt.jl
    • Update ExtendableGridsGmshExt.jl

    upload the (gmsh-) extension code

    • Update simplexgrid.jl

    include function definitions with implementations in the gmsh extension

    • Gmsh-files for tests
    • (g)msh-files for the test of the extension
    • Delete sto_2d.msh
    • Delete sto_3d.msh
    • Update runtests.jl

    added the tests of the gmsh extension

    • Update Project.toml

    add dependencies for the gmsh extension

    • Update Project.toml
    • Update runtests.jl
    • Merge pull request #32 from jotaraz/master

    gmsh ext

    • Add requires for 1.6

    • Remove assignment to gms.model for Julia <1.9

    • Remove dummy simplexgrid(module)

    • Bump version

    • Merge pull request #33 from j-fu/gmsh-extension2

    add requires for 1.6

    [1.0.0] - 2023-07-22

    Features

    • GeometryGroups (#27)

    • new type CellGeometryGroups that collect all cells of same CellGeometry as ordered in UniqueCellGeometries

    • view for VariableTargetAdjacency, less allocation in FaceNodes for mixed geometries

    Co-authored-by: Christian Merdon <merdon@wias-berlin.de>

    • Allow non-leaf types in ElementGeometries

    • New type CellGeometryGroups that collect all cells of same CellGeometry as ordered in UniqueCellGeometries

    • Added also FaceGeometryGroups etc. and assembly helpers

    • Init BEdgeRegions with an array, so that test for bedgemask works again

    • GeometryGroups > AssemblyGroups

    • Some small corrections, view for VariableTargetAdjacency, less allocation in FaceNodes for mixed geometries

    • Some small improvements

    • Merge pull request #31 from j-fu/geometry_groups

    some small changes

    • Merge branch 'master' into quadmeshes

    • Merge pull request #30 from j-fu/quadmeshes

    Prepare for quadrilateral and cuboidal elements

    • Set cairomakie invisible in tests

    • Set version to 1.0 for better semver

    [0.9.17] - 2023-02-10

    Features

    • Fix print_tree calls

    • Sorting coordinates of 1D subgrids

    • Use CairoMakie for plotting tests & docs

    • Merge pull request #22 from j-fu/sort1dsubgrids

    Sort 1d subgrids

    [0.9.16] - 2022-11-30

    Features

    • Remove allocation regression in Julia 1.9 - return Matrices as local_celledgenodes etc. instead of adjoints

    [0.9.15] - 2022-10-22

    Features

    • Cleanup type handling for simplexgrid constructors, 0.9.15

    • Fixes stackoverflow error when calling simplexgrid with arrays of different index types

    • Detect index types from CellNode arrays

    • replace collectorassign by convert

    • add bregions, cellregion constructor to tensor grid constructor

    • Version bump

    • Fix CI for 1.6

    • Fix CI for 1.6 - again

    [0.9.14] - 2022-10-19

    Features

    • BFaceRegions in grid after uniform_refine are still VectorOfConstants if BFaceRegions in source grid has been VectorOfConstants

    • Introduce barrier in volume calculation (#19)

    • Bump version

    [0.9.13] - 2022-09-13

    Features

    • Fix unit test for writevtk

    • Create Invalidations.yml (#16)

    • Create Invalidations.yml

    This is based on https://github.com/julia-actions/julia-invalidations. Adding such checks came up in https://discourse.julialang.org/t/potential-performance-regressions-in-julia-1-8-for-special-un-precompiled-type-dispatches-and-how-to-fix-them/86359. I suggest to add this check here since this package is widely used as a dependency.

    See also SciML/MuladdMacro.jl#26 and SciML/MuladdMacro.jl#29

    • Missing bracket (#18)
    • Bump version, allow AbstractTrees 0.4

    [0.9.12] - 2022-06-23

    Features

    • Piecewise linear interpolation between simplexgrids

    [0.9.11] - 2022-06-21

    Features

    • Speed up of hot loops in bfacemask! and cellmask!

    [0.9.10] - 2022-06-16

    Features

    • Bregion numbers can now be functions of the current region, or zero to erase

    [0.9.9] - 2022-06-16

    Features

    • Bugfix for 3D rect!

    [0.9.8] - 2022-06-15

    Features

    • Bump to 0.9.8 - missed some commits

    [0.9.7] - 2022-06-15

    Features

    • Fix superfluous corner triangles in subgrid generation

    • Added rect! to regionedit - place surface info into rectangular grid

    [0.9.6] - 2022-05-13

    Features

    • Added barycentric refinement for Tetrahedron3D and some tests for uniform and barycentric refinement

    [0.9.5] - 2022-03-27

    Features

    • Improve glue performance
    • allow to restrict tested regions
    • removed allocations in main loop

    [0.9.4] - 2022-03-24

    Features

    • Added FaceEdgeSigns, version bump

    [0.9.3] - 2022-03-23

    Features

    • Added function for writing grid structure to vtk_write (#12)

    • Added function for writing grid structure to io.jl

    The writing of the VTK files uses the WriteVTK.jl package. Hence, it was added as dependency. In addition to the grid structure, point, cell, or field data can be written to the file.

    • julia1.6 now required, added test (needs SHA hash comparison to test Project.toml)

    Co-authored-by: chmerdon <57663257+chmerdon@users.noreply.github.com>

    • Update ci.yml

    update to new minimum julia version dependency

    • Update Project.toml

    [0.9.2] - 2022-03-22

    Features

    • Fix for node ordering in tensor grid constructor such that no negative cell volumes occur

    [0.9.1] - 2022-02-21

    Features

    • Some bugfixes for unionizing update, version bump

    [0.9.0] - 2022-02-18

    Features

    • Unionize abstract types (#13)

    This relies on the built-in union split of Julia which seems to have no union size constraint anymore. This may remove some allocations...

    • Use "ElementGeomtries" – union of Geometry leaf types – as eltype for CellGeometries,BFaceGeomtries
    • Similar with CoordinateSystems.
    • fixed UniqueBFaceGeometries etc, reduced allocations in ItemVolumes instantiations (dispatch on CoordinateSystem seems to cause remaining allocations)
    • use SVector for storing intermediate vector data
    • Added more typestable getindex methods.
    • use length of cx in cellfinder instead of x as length of x might not match)

    Co-authored-by: Christian Merdon <merdon@localhost.localdomain>

    • Version bump

    [0.8.11] - 2021-12-06

    Features

    • Glue and simplexgrid(xygrid, zcoord) now use Cint indices.

    [0.8.10] - 2021-11-13

    Features

    • Test against tol for lmismatch in geomspace

    [0.8.9] - 2021-11-10

    Features

    • Fix missing CoordinateSystem instantiation for subgrid

    [0.8.8] - 2021-11-03

    Features

    • Volume of Vertex0D set to 1

    • Switch off plotting testset on windows system for now

    • Version bump

    [0.8.7] - 2021-10-21

    Features

    • Added ringsector2d

    [0.8.6] - 2021-10-21

    Features

    • Modify 2D x Z tensorproduct API: make cell, bottom and top regions from

    offsets of 2D cellregions

    • Bfacemask! for 3D, introduce allow_new flag

    [0.8.5] - 2021-10-20

    Features

    • Tensor product grid2d x coordZ

    [0.8.4] - 2021-10-20

    Features

    • Docstring for VoronoiFaceCenters

    • Add glue method for grids

    • Removed Base.RefValues from L2GTransformer struct and made it mutable (immutability seems to give no benefit here)

    • Merge branch 'master' of github.com:j-fu/ExtendableGrids.jl

    [0.8.3] - 2021-10-13

    Features

    • Add tests for geomspace, make assertion warnings more clear

    • Don't use yet X[begin]

    • Some more geomspace tweaks

    • Calculate VoronoiFaceCenters, take in tricircumcenter!

    • Add voronoi.jl

    [0.8.2] - 2021-10-07

    Features

    • Start to sort out documentation

    • Remove plotting test

    • Less allocations in instantiation of EdgeNodes

    • Less allocations in instantiation of FaceNormals and EdgeTangents, converted some Float64 to Tc

    • Some tweaks for geomspace

    • Merge branch 'master' of github.com:j-fu/ExtendableGrids.jl

    • Merge branch 'master' of https://github.com/j-fu/ExtendableGrids.jl

    • Reduced allocations in all mesh refinements, last remnants of GridAdjacencyTypes erased and replaced by Adjacency

    [0.8.1] - 2021-10-06

    Features

    • Nnodesforgeometry/nfacesforgeometry/nedgesforgeometry erased/merged into numnodes/numfaces/numedges that are now residing in shapespecs.jl, edges are always Edge1D (adjusted instantiation of EdgeNodes in derived.jl accordingly), erased GridAdjacencyTypes, added enum consistency tests also for Parallelepiped3D

    • Activated L2GTransfer, AssemblyTypes, CellFinder (moved from GradientRobustMultiPhysics) and respective tests; renamed BFaces to BFaceFaces and BEdges to BEdgeEdges

    • Version 0.8.1

    • Ch Merdon as author

    • Set EdgeGeometries in instantiation of EdgesNodes in 1D and 2D

    • Merge branch 'master' of https://github.com/j-fu/ExtendableGrids.jl

    • Merge branch 'master' of github.com:j-fu/ExtendableGrids.jl

    [0.8.0] - 2021-10-05

    Features

    • Phase 1 Transfer of gridstuff from GradienRobustMultiPhysics (#11)

    • Phase 1 Transfer of gridstuff from GradienRobustMultiPhysics

    • Bump version

    [0.7.9] - 2021-07-09

    Features

    • Added boundary edge regions (#10)

    • Added boundary edge regions

    • Extended constructor for simplexgrid
    • Fixed missing assignment of boundary edge node adjacency

    Co-authored-by: Matthias Liero <matthias.liero@wias-berlin.de>

    • Bump version

    [0.7.8] - 2021-07-02

    Features

    • Bugfix for BFaceCells, relax parameter types in simplexgrid() constructor

    [0.7.7] - 2021-06-15

    Features

    • Type-annotated some methods

    • Compute adjacency between boundary faces and edges. (#8)

    • Compute adjacency between boundary faces and edges.

    • Added missing methods

    Co-authored-by: Matthias Liero <matthias.liero@wias-berlin.de>

    • Merge branch 'master' of github.com:j-fu/ExtendableGrids.jl

    • Bump patch version

    [0.7.6] - 2021-03-31

    Features

    • J fu bfnormals (#7)

    Enable outflow bc in VoronoiFVM

    • Create BFaceNodes, BFaceNormals

    • sparsematrix <-> adjacency handling

    • Remove ExtendableSparse as Dependency

    • Relax some type constraints for simplexgrid

    • bump version

    • Oops: remove GridVisiualize from Project.toml

    [0.7.5] - 2021-03-30

    Features

    • Bump patch version, Allow for ExtendableSparse 0.4

    [0.7.4] - 2021-01-12

    Features

    • Factored out plotting

    [0.7.3] - 2021-01-10

    Features

    • Fix typo (colstaert)

    change alpha default for surfaces.

    [0.7.2] - 2021-01-09

    Features

    • Reorganization: GridVisualize as submodule

    • Renamed:

    GridPlotContext -> GridVisualizer gridplot -> visualize SubPlotContext -> SubVis

    • More renames for passing test

    • Bump version

    [0.7.1] - 2021-01-09

    Features

    • Gridplot checks with VoronoiFVM

    • Detailed checks for plotting with VoronoiFVM

    • Pluto examples in experimental

    [0.7.0] - 2021-01-07

    Features

    • Renamed plot->gridplot, use AbstractPlotting >0.15 (#5)

    Renamed plot->gridplot, use AbstractPlotting >0.15

    [0.6.3] - 2021-01-06

    Features

    • Fix use of extrema in bbox

    • Color handling via Colors.jl and ColorSchemes.jl

    • Added rosetta.jl to experimental test examples

    • Save method for plot context

    • Lower expectation to coverage

    • Fix codecov

    • Fix codecov

    • Last developments before switching to AbstratPlotting 0.15 (#4)

    Color handling via Colors.jl and ColorSchemes.jl In addition:

    • fix use of extrema in bbox
    • color handling via Colors.jl and ColorSchemes.jl
    • added rosetta.jl to experimental test examples
    • save method for plot context

    [0.6.2] - 2021-01-01

    Features

    • Pluto tests, MeshCat (#3)

    • marching tets et al can directly write into GeometryBasics compatible arrays

    • add experimental meshcat implementation (3D only)
    • don't run plotting tests on apple

    • Bump version

    [0.6.1] - 2020-12-31

    Features

    • Assert non-empty pointlist in simplexgrid

    • 3D Makie plotting interaction via keyboard

    • sliders would eat up screen real estate

    • middle mouse probably not available everywere

    • up/down for fine moving and pgup/pgdown for coarse seems to be ok

    • added title and status to 3d scene

    • New subplot handling working with PyPlot

    • Makie now running with multiscene

    • Fixed allocations in simplexgrid

    • Implementations (sometimes initial) for grid and grid,func in 1D, 2D, 3D

    • Support Makie, PyPlot, VTKView (VTKView without grid 1D)

    • At least temporarily drop support of Plots

    • Subplot handling: examples, docs

    • Remove dependency on Observables

    • Added grid writing

    • fixed initializaion bug in tokenstream

    • try to increase codecov

    • Don't use cleanup in tempname()

    • Fix definition of extrema

    • Try to increase coverage:

    add PyPlot to test dependency, test pyplot plotting

    • Add project.toml for test

    • Try to set env for runtestes

    • Fix project.toml

    [0.6.0] - 2020-12-24

    Features

    • Trigger TagBot on issue_comment instead of cron: https://discourse.julialang.org/t/ann-required-updates-to-tagbot-yml/49249

    • Add 3D tensorgrid creation

    • Documentation overhaul, fixed simplexgrid bug

    [0.5.8] - 2020-12-20

    Features

    • Use codecov.yml instead of switching off codecov

    • Bugfix in adjacency

    • Add test for subgrid

    [0.5.7] - 2020-12-14

    Features

    • Lots of small fixes

    [0.5.6] - 2020-12-12

    Features

    • Use backlight for isosurfaces and planes.

    Be sure to have https://github.com/JuliaPlots/GLMakie.jl/commit/05220480a3e79c254f538ba46a38d437598c874e in GLMakie >=1.19

    • Fix small glitches + version bump

    [0.5.5] - 2020-12-12

    Features

    • Figured out with how to have changing mesh and changing function at once, see

    https://github.com/JuliaPlots/Makie.jl/issues/778#issuecomment-742397119

    • First reasonable 3D function plotting

    [0.5.4] - 2020-12-09

    Features

    • Refactor plotting

    • generic mesh visibility extraction for grid plot moved from makie to common

    • one loop for all materials.

    • First reasonable 3D Grid plots with PyPlot

    • Rotation kwargs (work only for pyplot)

    [0.5.3] - 2020-12-07

    Features

    • Rename ci

    • Added DOCUMENTER_KEY to TagBot.yml

    • Interactive Makie grid plot for 3D simplex grids

    • Remove coverage test from workflow for the time being

    [0.5.2] - 2020-12-05

    Features

    • Thank you travis and bye bye

    • Thank you travis and bye bye

    • removed .travis.yml

    [0.5.1] - 2020-12-04

    Features

    • Firsts steps to makie grid plotting

    [0.5.0] - 2020-12-04

    Features

    • Change edge plotting default to true

    • Relaxs type constraints for geomspace

    • First step to 3D grid visualization

    • Update readme & bump version

    [0.4.2] - 2020-10-24

    Features

    • Moved edge creation from VoronoiFVM

    This currently creates a dependency on ExtendableSparse which should be replaced some time.

    • Don't print in show() methods!

    • Handle boundaries when creating bulk subgrid

    • Some fixes for pyplot in Pluto notebooks.

    Don't call PyPlot.show() and PyPlot.pause(), as this must be handeled by the user.

    • Bfacemask! now allows to add new boundary facets in 2D

    • Fix show again

    • Fixing docs

    • V0.4.2

    • Fix compat

    [0.4.1] - 2020-09-24

    Features

    • Documentation fix

    [0.4.0] - 2020-09-23

    Features

    • Plotting of GridFactory showing input and output (PyPlot)

    • first steps of Makie plotting

    • Rebuild of plotting architecture

    • dispatching via plotter type

    • PlotterContext holds state of plot, allowing reuse or update (e.g. for Makie), see examples/plotlooptest.jl

    • First plots with Makie & WGLMakie

    • Introduce kwargs for plotting

    • Plotloop stuff

    • Fine tuned and commentes plotting stuff

    • Help mechanism for flags

    • Test for two figure arrangements in one plot -> future layout stuff

    • Fix travis

    • Switch to travis-ci.com

    • Moving GridFactory to SimplexGridFactory.SimplexGridBuilder

    (mainly for licensing reasons)

    • Removed dependency on Triangulate

    • Added MIT License

    • Mentioned accssibility of Triangle via SimplexGridFactory

    • Version 0.4.0

    [0.3.0] - 2020-09-04

    Features

    • First working steps to GridFactory

    • Improved GridFactory

    Added Examples to docs

    • Git-added missing files

    • V0.3: added GridFactory, Examples

    [0.2.3] - 2020-07-17

    Features

    • Version 0.2.3 using Triangulate 0.5

    • Fixed issue #1

    [0.2.2] - 2020-05-01

    Features

    • Add [XYZ]Cordinates to grid if they have been there.

    This allows rectangular grid plotting (e.g. with Plots)

    • Fixed some plotting, show(grid)

    • Patch version bump

    [0.2.1] - 2020-04-28

    Features

    • Temporarily remove macos from travis due to stalled service

    • Fix documentation

    • work around TYPEDSIGNATURES bug

    • add typehierarchy to doc

    • Add typehierarchy.md

    • Patch version bump

    • first version with working documentation on github

    [0.2.0] - 2020-04-28

    Features

    • Documentation overhaul

    • VoronoiFVM examples now running after renaming to ExtendableGrids

    • Base.show(grid) ceases to print arrays

    • Keys -> Base.keys

    • Updated compat

    • Updated compat

    [0.1.0] - 2020-04-25

    Features

    • Initialize with README

    • Added first files

    • Fixed README

    • First tests are working...

    • More comments, introduce FixedTargetAdjacency

    • First version of extendabele container idea

    • Containers.md

    • Fixed pyplot for boundary grid

    • Fixed error in generation

    • Improved formatting + comments

    • Modified ntargets etc. to num_targets etc.

    added DocStringExtensions

    • Fixed getindex for CellTypes

    • First steps to interaction with VoronoiFVM

    • Working for 1D Examples in VoronoiFVM

    • Fixes for 2D VoronoiFVM

    • Sorted API

    • Version bump

    • Typos

    • More stuff moved over from VoronoiFVM.Grid

    • Version bump

    • Started Documenter stuff

    • Fixed vectorofconstants: unique

    • Version 0.1.5

    • Restarting as ExtendableGrids

    • Typo

    • Replaced all occurences of XGrid

    • Add travis, tagbot

    • Modified README, badges

    • Add Test in Project.toml

    • Add Printf in Project.toml

    • Fixed compat...

    diff --git a/v1.10.2/coordinatesystem/index.html b/v1.10.2/coordinatesystem/index.html new file mode 100644 index 00000000..9bfa440f --- /dev/null +++ b/v1.10.2/coordinatesystem/index.html @@ -0,0 +1,12 @@ + +Coordinate systems · ExtendableGrids.jl

    Coordinate systems

    Coordinate systems are described via abstract types. The list of coordinate systems can be obtained with the coordinatesystems method:

    AbstractCoordinateSystem
    +├─ Cartesian1D
    +├─ Cartesian2D
    +├─ Cartesian3D
    +├─ Cylindrical2D
    +├─ Cylindrical3D
    +├─ Polar1D
    +├─ Polar2D
    +├─ Spherical1D
    +└─ Spherical3D

    API

    diff --git a/v1.10.2/elementgeometry/index.html b/v1.10.2/elementgeometry/index.html new file mode 100644 index 00000000..dd5d5cbf --- /dev/null +++ b/v1.10.2/elementgeometry/index.html @@ -0,0 +1,33 @@ + +Element geometry · ExtendableGrids.jl

    Element geometry

    Element geometries are described via abstract types. The list of element geometries systems can be obtained with the elementgeometries method:

    AbstractElementGeometry
    +├─ AbstractElementGeometry0D
    +│  └─ Vertex0D
    +├─ AbstractElementGeometry1D
    +│  └─ Edge1D
    +├─ AbstractElementGeometry2D
    +│  ├─ Circle2D
    +│  └─ Polygon2D
    +│     ├─ Hexagon2D
    +│     ├─ Pentagon2D
    +│     ├─ Quadrilateral2D
    +│     │  └─ Parallelogram2D
    +│     │     └─ Rectangle2D
    +│     └─ Triangle2D
    +├─ AbstractElementGeometry3D
    +│  ├─ Polyhedron3D
    +│  │  ├─ Hexahedron3D
    +│  │  │  └─ Parallelepiped3D
    +│  │  │     └─ RectangularCuboid3D
    +│  │  ├─ Prism3D
    +│  │  │  └─ TrianglePrism3D
    +│  │  └─ Tetrahedron3D
    +│  └─ Sphere3D
    +└─ AbstractElementGeometry4D
    +   ├─ HyperCube4D
    +   └─ Polychoron4D

    API

    diff --git a/v1.10.2/extendablegrid/index.html b/v1.10.2/extendablegrid/index.html new file mode 100644 index 00000000..34f436d8 --- /dev/null +++ b/v1.10.2/extendablegrid/index.html @@ -0,0 +1,135 @@ + +Extendable grid · ExtendableGrids.jl

    Extendable grid

    An ExtendableGrid in form of a dictionary with types as keys and type stable value access. This means that grid components are accessed as dict entries, e.g. grid[Coordinates] . The rationale of this approach is explained here.

    Notations

    A grid is assumed to be a subset of components of a polyhedral complex in d-dimensional space. We distinguish the following element classes characterized by their dimension:

    Element classMeaning
    Node0-dimensional node
    Edge1-dimensional line connecting two neigboring nodes
    Facecodimension 1 object separating a cell from outer space or neigboring cell
    Cellcodimension 0 object
    BFaceFace situated at inner or domain boundary
    Regionnumber to be used to characterize subdomains, contacts etc.

    Grid components

    Grid components are accessed like Dict entries, the keys must be subtypes of AbstractGridComponent.

    Basic set of grid components

    Upon construction, an ExtendableGrid needs to be provided with the basic set of grid components denoted by the following component type keys:

    Component type keyMeaning
    CoordinatesCoordinates of the vertices of the grid cells
    CellNodesAdjacency describing the nodes of grid cell
    CellGeometriesAbstract array of subtypes of AbstractElementGeometry describing the geometry of each cell
    CellRegionsAbstract array of integers describing region numbers
    BFaceNodesAdjacency structure describing the nodes corresponding to each grid boundary face
    BFaceGeometriesAbstract array of subtypes of AbstractElementGeometry describing the geometry of each boundary face
    BFaceRegionsAbstract array of integers describig region numbers
    CoordinateSystemAbstract type describing the coordinate system to be used

    Hierarchy of component type keys

    The list of components can be printed using the gridcomponents method.

    AbstractGridComponent
    +├─ AbstractElementGeometries
    +│  ├─ BEdgeGeometries
    +│  ├─ BFaceGeometries
    +│  ├─ CellGeometries
    +│  ├─ EdgeGeometries
    +│  ├─ FaceGeometries
    +│  ├─ UniqueBEdgeGeometries
    +│  ├─ UniqueBFaceGeometries
    +│  ├─ UniqueCellGeometries
    +│  ├─ UniqueEdgeGeometries
    +│  └─ UniqueFaceGeometries
    +├─ AbstractElementRegions
    +│  ├─ BEdgeRegions
    +│  ├─ BFaceRegions
    +│  ├─ CellRegions
    +│  ├─ EdgeRegions
    +│  └─ FaceRegions
    +├─ AbstractGridAdjacency
    +│  ├─ BEdgeAssemblyGroups
    +│  ├─ BEdgeNodes
    +│  ├─ BFaceAssemblyGroups
    +│  ├─ BFaceCells
    +│  ├─ BFaceEdges
    +│  ├─ BFaceNodes
    +│  ├─ CellAssemblyGroups
    +│  ├─ CellEdgeSigns
    +│  ├─ CellEdges
    +│  ├─ CellFaceOrientations
    +│  ├─ CellFaceSigns
    +│  ├─ CellFaces
    +│  ├─ CellNodes
    +│  ├─ EdgeAssemblyGroups
    +│  ├─ EdgeCells
    +│  ├─ EdgeNodes
    +│  ├─ FaceAssemblyGroups
    +│  ├─ FaceCells
    +│  ├─ FaceEdgeSigns
    +│  ├─ FaceEdges
    +│  └─ FaceNodes
    +├─ AbstractGridFloatArray1D
    +│  ├─ BEdgeVolumes
    +│  ├─ BFaceVolumes
    +│  ├─ CellVolumes
    +│  ├─ EdgeVolumes
    +│  ├─ FaceVolumes
    +│  ├─ XCoordinates
    +│  ├─ YCoordinates
    +│  └─ ZCoordinates
    +├─ AbstractGridFloatArray2D
    +│  ├─ Coordinates
    +│  ├─ EdgeTangents
    +│  ├─ FaceNormals
    +│  └─ VoronoiFaceCenters
    +├─ AbstractGridIntegerArray1D
    +│  ├─ BEdgeEdges
    +│  ├─ BFaceCellPos
    +│  ├─ BFaceFaces
    +│  ├─ BFaceParents
    +│  ├─ CellParents
    +│  ├─ FaceParents
    +│  ├─ NodeInParent
    +│  ├─ NodeParents
    +│  ├─ NodePatchGroups
    +│  ├─ NodePermutation
    +│  ├─ PColorPartitions
    +│  ├─ PartitionBFaces
    +│  ├─ PartitionCells
    +│  ├─ PartitionEdges
    +│  └─ PartitionNodes
    +├─ AbstractGridIntegerArray2D
    +├─ BFaceNormals
    +├─ CoordinateSystem
    +├─ AbstractGridFloatConstant
    +├─ AbstractGridIntegerConstant
    +│  ├─ NumBEdgeRegions
    +│  ├─ NumBFaceRegions
    +│  └─ NumCellRegions
    +├─ ParentGrid
    +└─ ParentGridRelation
    +   ├─ RefinedGrid
    +   └─ SubGrid

    Additional components

    Additional components can be added by defining a subtype of AbstractGridComponent or a fitting subtype thereof, and assigning the value to the corresponding Dict entry:

    g=simplexgrid([1,2,3,4.0])
    +abstract type MyComponent <: AbstractGridComponent end
    +g[MyComponent]=13
    +show(g)
    ExtendableGrid{Float64, Int32};
    +dim: 1 nodes: 4 cells: 3 bfaces: 2

    Alternatively, component creation can be perfomed lazily. For this purpose one needs to define an instantiate method:

    abstract type NodeCells <: AbstractGridAdjacency end
    +ExtendableGrids.instantiate(grid, ::Type{NodeCells})=atranspose(grid[CellNodes])
    +g=simplexgrid([1,2,3,4.0])
    +show(g[NodeCells])
    1
    +1 2
    +2 3
    +3

    Grid API

    Base.delete!Method
    delete!(
    +    grid::ExtendableGrid,
    +    T::Type{<:AbstractGridComponent}
    +) -> Dict{Type{<:AbstractGridComponent}, Any}
    +

    Remove grid component

    source
    Base.get!Method
    get!(
    +    grid::ExtendableGrid,
    +    T::Type{<:AbstractGridComponent}
    +) -> Any
    +

    To be called by getindex. This triggers lazy creation of non-existing gridcomponents

    source
    Base.getindexMethod
    Base.getindex(grid::ExtendableGrid,T::Type{<:AbstractGridComponent})

    Generic method for obtaining grid component.

    This method is mutating in the sense that non-existing grid components are created on demand.

    Due to the fact that components are stored as Any the return value triggers type instability. To prevent this, specialized methods must be (and are) defined.

    source
    Base.haskeyMethod
    haskey(g::ExtendableGrid, k) -> Bool
    +

    Check if key is in grid

    source
    Base.keysMethod
    keys(
    +    g::ExtendableGrid
    +) -> Base.KeySet{Type{<:AbstractGridComponent}, Dict{Type{<:AbstractGridComponent}, Any}}
    +

    Keys in grid

    source
    Base.mapMethod
    map(f,grid)

    Map function f returning a number onto node coordinates of grid. Returns a vector of length corresponding to the number of nodes of the grid. The function can take either a vector or a numbers as arguments. E.g. for a two-dimensional grid g, both

     map(X->X[1]+X[2], g)

    and

     map((x,y)->x+y, g)

    are possible.

    source
    Base.setindex!Method
    setindex!(
    +    grid::ExtendableGrid,
    +    v,
    +    T::Type{<:AbstractGridComponent}
    +) -> Any
    +

    Set new grid component

    source
    ExtendableGrids.isconsistentMethod
    isconsistent(grid; warnonly=false)

    Check consistency of grid: a grid is consistent if

    • Grid has no dangling nodes
    • ... more to be added

    If grid is consistent, return true, otherwise throw an error, or, if warnoly==true, return false.

    source
    ExtendableGrids.seemingly_equalMethod
    seemingly_equal(grid1, grid2; sort=false, confidence=:full

    Recursively check seeming equality of two grids. Seemingly means that long arrays are only compared via random samples.

    Keyword args:

    • sort: if true, sort grid points
    • confidence: Confidence level:
      • :low : Point numbers etc are the same
      • :full : all arrays are equal (besides the coordinate array, the arrays only have to be equal up to permutations)
    source
    ExtendableGrids.update!Method
    update!(
    +    grid::ExtendableGrid,
    +    T::Type{<:AbstractGridComponent}
    +) -> Any
    +

    Reinstantiate grid component (only if it exists)

    source
    ExtendableGrids.veryformMethod
    veryform(
    +    grid::ExtendableGrid,
    +    v,
    +    _::Type{<:AbstractGridComponent}
    +) -> Any
    +

    Default veryform method.

    "veryform" means "verify and/or transform" and is called to check and possibly transform components to be added to the grid via setindex!.

    The default method just passes data through.

    source
    ExtendableGrids.veryformMethod
    veryform(grid::ExtendableGrid{Tc,Ti},v,T::Type{<:AbstractGridAdjacency}) where{Tc,Ti}

    Check proper type of adjacencies upon insertion

    source
    diff --git a/v1.10.2/gmsh/index.html b/v1.10.2/gmsh/index.html new file mode 100644 index 00000000..f3b2a1c0 --- /dev/null +++ b/v1.10.2/gmsh/index.html @@ -0,0 +1,5 @@ + +Gmsh interoperability · ExtendableGrids.jl

    Gmsh interoperability

    This functionality is in beta stage. Breaking changes for this API are considered non-breaking for the package. Therefore, these functions are not exported yet.

    API

    These methods become available via a package extension which is loaded together with Gmsh.jl. See the general gmsh documentation, the Gmsh reference manual and the Gmsh Julia API source code for information.

    ExtendableGrids.simplexgrid_from_gmshFunction
    simplexgrid_from_gmsh(filename::String; incomplete=false, Tc=Float32, Ti=Int32)

    The msh file is read and a SimplexGrid is created. The mesh can also contain an incomplete grid. For this, the function has to be called with $incomplete=true$. 'incomplete' means that the grid only consists of nodes and cells, it does not have a boundary. We also do not try to read the physical groups for those grids. Tc is the type of coordinates, Ti is the index type.

    source
    simplexgrid_from_gmsh(mod::Module; incomplete=false, Tc=Float32, Ti=Int32)

    The mesh contained in the gmsh module is converted to a SimplexGrid. The mesh can also contain an incomplete grid. For this, the function has to be called with $incomplete=true$. 'incomplete' means that the grid only consists of nodes and cells, it does not have a boundary. We also do not try to read the physical groups for those grids. Tc is the type of coordinates, Ti is the index type.

    source
    ExtendableGrids.simplexgrid_to_gmshFunction
    simplexgrid_to_gmsh(g::ExtendableGrid; filename::String="")

    The SimplexGrid 'g' is loaded into a gmsh module. If a string (not "") is passed via 'filename', the mesh is written into this file.

    source
    ExtendableGrids.mixedgrid_from_gmshFunction
    mixedgrid_from_gmsh(filename::String; Tc=Float32, Ti=Int32)

    The msh file is read and an ExtendableGrid is created. This only works for dim=2 grids and the orientation may be wrong. Tc is the type of coordinates, Ti is the index type.

    source
    mixedgrid_from_gmsh(mod::Module; Tc=Float32, Ti=Int32)

    The mesh contained in the gmsh module is converted to an ExtendableGrid. Tc is the type of coordinates, Ti is the index type.

    source
    ExtendableGrids.mixedgrid_to_gmshFunction
    mixedgrid_to_gmsh(g::ExtendableGrid; filename::String="")

    The ExtendableGrid 'g' is loaded into a gmsh module. If a string (not "") is passed via 'filename', the mesh is written into this file.

    source
    ExtendableGrids.seal!Function
    function seal!(grid::ExtendableGrid; bfaceregions=[], encode=true, Ti=Int64)

    Take an (simplex-) ExtendableGrid and compute and add the BoundaryFaces. A so called incomplete ExtendableGrid can e.g. be read from an msh file using the Gmsh.jl-extension of the ExtendableGrids package and the function $simplexgrid_from_gmsh(filename::String; incomplete=true)$. If a non empty vector is passed as bfaceregions, this vector is used for the 'BFaceRegions'. If bfaceregions is empty, all BoundaryFaces get the region number 1.

    For performance reasons, the faces (=the nodes contained in the face) can be encoded (see the function $encode(x::Vector, nn::Integer)$) to Integers encoding_type. To do this, encode=true is used. But for each encoding_type there is a limit on the number of nodes:

    - For Int64  and a 2d grid: 3*10^9 nodes
    +- For Int64  and a 3d grid: 2*10^6 nodes
    +- For Int128 and a 2d grid: 1.3*10^19 nodes
    +- For Int128 and a 3d grid: 5.5*10^12 nodes

    If encode=false is passed, there is no limit (besides the MaxValue of the Integer type used).

    source

    Internals

    Gmsh extension

    ExtendableGridsGmshExt.gmshfile_to_mixedgridFunction
    gmshfile_to_mixedgrid(filename::String, Tc, Ti)

    This function just reads an msh file, and creates a gmsh.model and then calls the 'modtomixedgrid' function This function is called in 'mixedgridfromgmsh' Tc is the type of coordinates, Ti is the index type.

    This function initalizes and finalized gmsh.

    source
    ExtendableGridsGmshExt.gmshfile_to_simplexgridFunction
    gmshfile_to_simplexgrid(filename::String, Tc, Ti)

    This function reads a .msh or a .geo file, and creates a gmsh.model If it is a .geo file, gmsh.model.mesh.generate() is called. Finally, it calls the 'modtosimplexgrid' function. This function is called in 'simplexgridfromgmsh' Tc is the type of coordinates, Ti is the index type.

    The function initializes and finalized the gmsh module.

    source
    ExtendableGridsGmshExt.mixedgrid_to_gmshfileFunction
    mixedgrid_to_gmshfile(grid::ExtendableGrid, filename::String)

    This function takes a mixed grid, uses 'gridtomod' to create a corresponding gmsh module Then it writes the module to a file

    grid[CellNodes] must be a VariableTargetAdjacency structure This function initializes and finalized gmsh.

    source
    ExtendableGridsGmshExt.multiply_indicesFunction
    multiply_indices(indices, n)

    for n=3: [i, j, ..., k], 3 -> [3i-2, 3i-1, 3i, 3j-1, 3j-2, 3j, ..., 3k-2, 3k-1, 3k] in general: [i, j, ..., k], n -> [ni-(n-1), ni-(n-2), ..., ni, n*j-(n-1), ...] This function can be used, if you have the indices of cells, and you want to get all their nodes, but the nodes are stored in one list for all cells: [node1ofcell1, node2ofcell1, ... nodenofcell1, node1ofcell2, ...]

    source
    ExtendableGridsGmshExt.mod_to_mixedgridFunction
    mod_to_mixedgrid(model::Module, Tc, Ti)

    Function that tries to create a (mixed-) ExtendableGrid from a gmsh.model. Model has to be a gmsh.model. (This function has to be called with an initialized gmsh environment). This function is called in 'mixedgridfromgmsh'. Tc is the type of coordinates, Ti is the index type.

    source
    ExtendableGridsGmshExt.simplexgrid_to_gmshfileFunction
    function simplexgrid_to_gmshfile(grid::ExtendableGrid, filename::String)

    This function takes a simplexgrid, uses 'gridtomod' to create a corresponding gmsh module Then it writes the module to a file.

    This function initalizes and finalized gmsh.

    source
    ExtendableGridsGmshExt.simplexgrid_to_modFunction
    grid_to_mod(grid::ExtendableGrid)

    This function writes an ExtendableGrid into a gmsh module. (This function has to be called with an initialized gmsh environment) At the moment, this function can only be used from the outside via 'write_gmsh', where the newly created gmsh module is written into a msh file.

    source
    ExtendableGridsGmshExt.mod_to_simplexgridFunction
    mod_to_grid(model::Module, Tc, Ti)

    Function that tries to create an (simplex-) ExtendableGrid from a gmsh.model. Model has to be a gmsh.model. (This function has to be called with an initialized gmsh environment). This function is called in 'simplexgridfromgmsh'. Tc is the type of coordinates, Ti is the index type.

    source
    ExtendableGridsGmshExt.incomplete_mod_to_simplexgridFunction
    incomplete_mod_to_simplexgrid(model::Module, Tc, Ti)

    Loads an incomplete mesh from a msh file. Then converts into an ExtendableGrids. 'incomplete' in this context means the boundary is missing. With the 'ExtendableGrids.seal!(grid::ExtendableGrid)' the boundary can be added. Tc is the type of coordinates, Ti is the index type.

    source
    ExtendableGridsGmshExt.use_vtaFunction
    use_vta(VTA, col_ids, num)

    If VTA were a matrix, the result would be equivalent to VTA[:, col_ids]. Each column of the VTA contains the nodes of one cell.

    source

    seal! method

    ExtendableGrids.faces_of_ndim_simplexFunction
    function faces_of_ndim_simplex(x::Vector, dim::Integer, nn::Integer)

    Return all faces of a n-dim simplex. The orientation is not guaranteed to be right. x contains the nodes of the simplex. nn is the total number of nodes. The faces (=the nodes contained in the face), are encoded to Integers (of nn's type).

    source
    ExtendableGrids.assemble_bfaces_directFunction
    function assemble_bfaces_direct(simplices, dim, Ti)

    Assemble the BoundaryFaces corresponding to the simplices passed. In this function, the faces are not encoded. This may make sense for grids with many nodes. For smaller grids it can lead to performance losses. simplices is a $(dim+1) x 'number cells'$ matrix and nn is the total number of nodes. We can not guarantee, that the orientation of the BoundaryFaces is correct.

    source
    ExtendableGrids.decodeFunction
    function decode(y::Integer, nn::Integer, dim::Integer)

    Decode y to the vector x. x has the length dim. The en/-decoding is similar to using the base-nn number system. For details of the encoding, see the documentation of the function encode.

    source
    ExtendableGrids.encodeFunction
    function encode(x::Vector, nn::Integer)

    Encode th vector x into an Int y. The en/-decoding is similar to using the base-nn number system. Example: $[x₁, x₂, x₃] → (x₁-1) + (x₂-1)*nn + (x₃-1)*nn²$``

    source
    ExtendableGrids.faces_of_ndim_simplex_directFunction
    function faces_of_ndim_simplex(x::Vector, dim::Integer, nn::Integer)

    Return all faces of a n-dim simplex. The orientation is not guaranteed to be right. x contains the nodes of the simplex. nn is the total number of nodes. The faces (=the nodes contained in the face), are not encoded to Integers.

    source
    ExtendableGrids.assemble_bfacesFunction
    function assemble_bfaces(simplices, dim, nn, Ti)

    Assemble the BoundaryFaces corresponding to the simplices passed. In this function, the faces are encoded for performance reasons. If a large grid with many nodes is used, Ti has to be chosen accordingly (e.g. Int128), or encode=false has to be passed to seal!. simplices is a $(dim+1) x 'number cells'$ matrix and nn is the total number of nodes. We can not guarantee, that the orientation of the BoundaryFaces is correct.

    source
    diff --git a/v1.10.2/gridconstructors/index.html b/v1.10.2/gridconstructors/index.html new file mode 100644 index 00000000..bcde48b3 --- /dev/null +++ b/v1.10.2/gridconstructors/index.html @@ -0,0 +1,26 @@ + +Grid constructors · ExtendableGrids.jl

    Grid constructors

    Tensor product simplex grids

    ExtendableGrids.simplexgridFunction
    function simplexgrid(coord::Array{Tc,2},
    +                     cellnodes::Array{Ti,2},
    +                     cellregions=ones(Ti, size(coord,2)),
    +                     bfacenodes=zeros(Ti,size(coord,1),0),
    +                     bfaceregions=zeros(Ti,length(bfacenodes))
    +                     ) where {Tc,Ti}

    Create d-dimensional simplex grid from five arrays.

    •    coord: d ``\times`` n_points matrix of coordinates
    • cellnodes: d+1 $\times$ n_tri matrix of triangle - point incidence
    • cellregions: (optional) n_tri vector of cell region markers
    • bfacenodes: (optional) d $\times$ n_bf matrix of boundary facet - point incidences
    • bfaceregions: (optional) n_bf vector of boundary facet region markers

    Coordinate type Tc index type Ti are detected from the first two parameters. cellregions, bfaceregions, bfacenodes are converted to have the same element type as cellnodes.

    source
    function simplexgrid(coord::Array{Tc,2},
    +                     cellnodes::Array{Ti,2},
    +                     cellregions,
    +                     bfacenodes,
    +                     bfaceregions,
    +                     bedgenodes,
    +                     bedgeregions
    +                     ) where {Tc,Ti}

    Create simplex grid from coordinates, cell-nodes-adjancency, cell-region-numbers, boundary-face-nodes adjacency, boundary-face-region-numbers, boundary-edge-nodes, and boundary-edge-region-numbers arrays.

    The index type Ti is detected from cellnodes, all other arrays besides coord are converted to this index type.

    source
    simplexgrid(X; bregions=[1,2],cellregion=1)

    Constructor for 1D grid.

    Construct 1D grid from an array of node cordinates. It creates two boundary regions with index 1 at the left end and index 2 at the right end by default.

    The keyword arguments allow to overwrite the default region numbers.

    Primal grid holding unknowns: marked by o, dual grid marking control volumes: marked by |.

     o-----o-----o-----o-----o-----o-----o-----o-----o
    + |--|-----|-----|-----|-----|-----|-----|-----|--|
    source
    simplexgrid(X,Y; bregions=[1,2,3,4],cellregion=1)

    Constructor for 2D grid from coordinate arrays.

    Boundary region numbers count counterclockwise:

    locationnumber
    south1
    east2
    north3
    west4

    The keyword arguments allow to overwrite the default region numbers.

    source
    simplexgrid(X,Y,Z; bregions=[1,2,3,4,5,6],cellregion=1)

    Constructor for 3D grid from coordinate arrays. Boundary region numbers:

    locationnumber
    south1
    east2
    north3
    west4
    bottom5
    top6

    The keyword arguments allow to overwrite the default region numbers.

    source
    simplexgrid(grid2d::ExtendableGrid, coordZ; bot_offset=0,cell_offset=0,top_offset=0, bface_offset=0)

    Create tensor product of 2D grid and 1D coordinate array.

    Cellregions and outer facet regions are taken over from 2D grid and added to cell_offset and bface_offset, respectively. Top an bottom facet regions are detected from the cell regions and added to bot_offset resp. top_offset.

    source
    simplexgrid(
    +    file::String;
    +    format,
    +    kwargs...
    +) -> Union{Nothing, ExtendableGrid}
    +

    Read grid from file. Supported formats:

    • "*.sg": pdelib sg files. Format versions:
      • format=v"2.0": long version with some unnecessary data
      • format=v"2.1": shortened version only with cells, cellnodes, cellregions, bfacenodes, bfaceregions
      • format=v"2.2": like 2.1, but additional info on cell and node partitioning. Edge partitioning is not stored in the file and may be re-established by induce_edge_partitioning!.
    • "*.geo": gmsh geometry description (requires using Gmsh)
    • "*.msh": gmsh mesh (requires using Gmsh)
    source
    ExtendableGrids.glueFunction
    c=glue(a,b)

    Glue together two vectors a and b resulting in a vector c. They last element of a shall be equal (up to tol) to the first element of b. The result fulfills length(c)=length(a)+length(b)-1

    source
    glue(g1,g2;
    +     g1regions=1:num_bfaceregions(g1),
    +     g2regions=1:num_bfaceregions(g2),
    +     interface=0,
    +     warnonly = false,
    +     tol=1.0e-10,
    +     naive=false)

    Merge two grids along their common boundary facets.

    • g1: First grid to be merged
    • g2: Second grid to be merged
    • g1regions: boundary regions to be used from grid1. Default: all.
    • g2regions: boundary regions to be used from grid2. Default: all.
    • interface: if nonzero, create interface region in new grid, otherwise, ignore
    • strict: Assume all bfaces form specfied regions shall be matched, throw error on failure
    • tol: Distance below which two points are seen as identical. Default: 1.0e-10
    • naive: use naive quadratic complexity matching (for checking backward compatibility). Default: false

    Deprecated:

    • breg: old notation for interface
    source

    Various special grids

    ExtendableGrids.grid_triangleMethod
    grid_triangle(coords::AbstractArray{T,2}) where {T}

    Generates a single triangle with the given coordinates, that should be a 2 x 3 array with the coordinates of the three vertices, e.g. coords = [0.0 0.0; 1.0 0.0; 0.0 1.0]'.

    source
    ExtendableGrids.grid_unitcubeMethod
    grid_unitcube(EG::Type{<:Hexahedron3D}; scale = [1,1,1], shift = [0,0,0])

    Unit cube as one cell with six boundary regions (bottom, front, right, back, left, top)

    source
    ExtendableGrids.grid_unitcubeMethod
    grid_unitcube(::Type{Tetrahedron3D}; scale = [1,1,1], shift = [0,0,0])

    Unit cube as six tets with six boundary regions (bottom, front, right, back, left, top)

    source
    ExtendableGrids.grid_unitsquareMethod
    grid_unitsquare(EG::Type{<:Quadrilateral2D}; scale = [1,1], shift = [0,0])

    Unit square as one cell with four boundary regions (bottom, right, top, left)

    source
    ExtendableGrids.grid_unitsquareMethod
    grid_unitsquare(::Type{<:Triangle2D}; scale = [1,1], shift = [0,0])

    Unit square as two triangles with four boundary regions (bottom, right, top, left)

    source
    ExtendableGrids.reference_domainFunction
        reference_domain(EG::Type{<:AbstractElementGeometry}, T::Type{<:Real} = Float64; scale = [1,1,1], shift = [0,0,0]) -> ExtendableGrid{T,Int32}

    Generates an ExtendableGrid{T,Int32} for the reference domain of the specified Element Geometry. With scale and shift the coordinates can be manipulated.

    source
    diff --git a/v1.10.2/index.html b/v1.10.2/index.html new file mode 100644 index 00000000..a2951015 --- /dev/null +++ b/v1.10.2/index.html @@ -0,0 +1,2 @@ + +Home · ExtendableGrids.jl

    Extendable grid data container for numerical simulations

    Build status

    Provide container structure ExtendableGrid with type stable content access and lazy content creation holding data for discretization grids for finite element and finite volume methods. Used by VoronoiFVM and GradientRobustMultiPhysics, a package for novel, gradient robust finite element methods.

    Additional functionality:

    • Tools to create tensor product grids
    • Tools for grid modification

    Companion packages:

    • Gmsh.jl extension. Please be aware about the fact that, while this package and Gmsh.jl are MIT licensed, the underlying binary code of Gmsh is distributed under the GPLv2 license.
    • Visualization of these grids and of functions on them is avaialable in GridVisualize.jl.
    • SimplexGridFactory contains an API which allows to create ExtendableGrid objects with Triangulate.jl which wraps the Triangle mesh generator by J. Shewchuk and TetGen.jl which wraps the TetGen mesh generator by H. Si.
    • Triangulate.jl and TetGen.jl extensions
    • Metis.jl extension and partitioning for multithreading (under development)

    Recent changes

    • Please look up the list of recent changes
    diff --git a/v1.10.2/more/index.html b/v1.10.2/more/index.html new file mode 100644 index 00000000..2ad9a483 --- /dev/null +++ b/v1.10.2/more/index.html @@ -0,0 +1,3 @@ + +Derived adjacencies · ExtendableGrids.jl

    Derived adjacencies

    API

    ExtendableGrids.prepare_edges!Method
    prepare_edges!(grid)
    +

    Prepare edge adjacencies (celledges, edgecells, edgenodes)

    Currently depends on ExtendableSparse, we may want to remove this adjacency.

    source
    diff --git a/v1.10.2/objects.inv b/v1.10.2/objects.inv new file mode 100644 index 00000000..386d3b23 Binary files /dev/null and b/v1.10.2/objects.inv differ diff --git a/v1.10.2/output/index.html b/v1.10.2/output/index.html new file mode 100644 index 00000000..808f8288 --- /dev/null +++ b/v1.10.2/output/index.html @@ -0,0 +1,10 @@ + +Grid output · ExtendableGrids.jl

    Grid output

    ExtendableGrids.writeVTKFunction
    writeVTK(
    +    filename::String,
    +    grid::ExtendableGrid{Tc, Ti};
    +    append,
    +    compress,
    +    kwargs...
    +) -> Vector{String}
    +

    exports grid and optional provided data as a vtk file

    • filename: filename of the exported file
    • grid: grid

    Each '(key, value)' pair adds another data entry to the vtk file via WriteVTK functionality.

    For the arguments 'append' and 'compress', see documentation of vtk_grid of WriteVTK.

    source
    diff --git a/v1.10.2/partitioning/index.html b/v1.10.2/partitioning/index.html new file mode 100644 index 00000000..fee509a8 --- /dev/null +++ b/v1.10.2/partitioning/index.html @@ -0,0 +1,44 @@ + +Grid partitioning · ExtendableGrids.jl

    Grid partitioning

    All grids created from ExtendableGrids can be considered to be partitioned such that the neighborhood graph of the partitions is colored so that operations (FEM/FVM assembly, sparse matrix-vector multiplication with SparseMatrixCSC, ILU preconditioners) on different partitions of the same color can be performed in parallel without write conflicts in a multithreading environment.

    The default partitioning is trivial: all cells and nodes belong to one partition, and the resulting trivial neighborhood graph is colored with one color.

    API calls

    ExtendableGrids.partitionFunction
         partition(grid::ExtendableGrid,
    +               alg::AbstractPartitioningAlgorithm;
    +               nodes = false,
    +               keep_nodepermutation = false,
    +               edges = false )

    Partition cells of grid according to alg, such that the neigborhood graph of partitions is colored in such a way, that all partitions with a given color can be worked on in parallel. Cells are renumbered such that cell numbers for a given partition are numbered contiguously.

    Return the resulting grid.

    Useful for parallel FEM assembly and cellwise FVM assembly.

    Keyword arguments:

    • nodes: if true, induce node partitioning from cell partitioning. Used for node/edgewise FVM assembly. In addition the resulting partitioning supports parallel matrix-vector products with SparseMatrixCSC. Nodes are renumbered compared to the original grid. If false (default), a trivial partitioning of the nodes is created such that all nodes belong to partition 1 and all others are empty.
    • keep_nodepermutation: if true, keep the node permutation with respect to the original grid in grid[NodePermutation].
    • edges: if true, induce partitioning of edges from cell partitioning. Used for node/edgewise FVM assembly. This step creates a number of relatively expensive additional adjacencies. If false (default), a trivial partitioning of the edges is created such that all edges belong to partition 1 and all others are empty.

    Access:

    A parallel loop over grid cells thus looks like

    for color in pcolors(grid)
    +    @threads for part in pcolor_partitions(grid, color)
    +                for cell in partition_cells(grid, part)
    +                 ...
    +                end
    +             end
    +end

    Without a call to partition, all these functions return trivial data such that the above sample code stays valid.

    Note

    partition must be called before obtaining any other adjacencies of a grid.

    Currently, partitioning does not cover the boundary, boundary cells belong to one big trivial partition.

    source
    ExtendableGrids.num_partitions_per_colorFunction
    num_partitions_per_color(grid)
    +

    Return a vector containing the number of partitions for each of the colors of the grid partitioning. These define the maximum number of parallel threads for each color.

    source
    ExtendableGrids.check_partitioningFunction
    check_partitioning(grid; 
    +                   verbose=true, 
    +                   cellpartonly=false)

    Check correctness of cell partitioning, necessesary for parallel assembly:

    • Check if every node belongs to one of the cell partitions
    • Check if no node belongs to two cell partitions of the same color at once

    If cellpartonly==false check correctness of node partitioning necessary for parallel sparse matrix multiplication and ILU preconditioning

    • Check if no node belongs to two node partitions of the same color at once
    • Check if no node is a neighbor of nodes from two node partitions of the same color
    source

    Partitioning algorithms

    ExtendableGrids.PlainMetisPartitioningType
    struct PlainMetisPartitioning <: AbstractPartitioningAlgorithm

    Subdivide grid into npart partitions using Metis.partition and color the resulting partition neigborhood graph. This requires to import Metis.jl in order to trigger the corresponding extension.

    This algorithm allows to control the overall number of partitions. The number of partitions per color comes from the subsequent partition graph coloring and in the moment cannot be controlled.

    Parameters:

    • npart::Int64: Number of partitions (default: 20)
    source
    ExtendableGrids.RecursiveMetisPartitioningType
    struct RecursiveMetisPartitioning <: AbstractPartitioningAlgorithm

    Subdivide grid into npart partitions using Metis.partition and calculate cell separators from this partitioning. The initial partitions get color 1, and the separator gets color 2. This is continued recursively with partitioning of the separator into npart partitions and calculating the spearator of the separator, giving it color 3.

    This algorithm allows to control the number of partitions in color 1 which correspond to the bulk of the work. The overall number of partitions will be in the range of 3*npart.

    If the grid is too coarse for that many partitions, several of them may be just empty.

    Parameters:

    • npart::Int64: Number of color 1 partitions (default: 4)

    • maxdepth::Int64: Recursion depth (default: 1)

    • separatorwidth::Int64: Separator width (default: 2)

    source

    Key types for grid access

    ExtendableGrids.PColorPartitionsType
    abstract type PColorPartitions <: AbstractGridIntegerArray1D

    Key type describing colors of partitions. These correspond to a coloring of the neigborhood graphs of partitions such that operations (e.g. FEM assembly) on partitions of a given color can be performed in parallel.

    grid[PColorPartitions] returns an integer vector describing the partition colors ("pcolors") of a grid. Let p=grid[PColorPartitions]. Then all partitions with numbers i ∈ p[c]:p[c+1]-1 have "color" c. See also pcolors.

    source
    ExtendableGrids.PartitionCellsType
    abstract type PartitionCells <: AbstractGridIntegerArray1D

    Key type describing the cells of a given partition.

    grid[PartitionCells] returns an integer vector describing the cells of a partition given by its number. Let pc=grid[PartitionCells]. Then all cells with index i ∈ pc[p]:pc[p+1]-1 belong to partition p.

    source
    ExtendableGrids.PartitionBFacesType
    abstract type PartitionBFaces <: AbstractGridIntegerArray1D

    Key type describing the bondary faces of a given partition.

    grid[PartitionBFaces] returns an integer vector describing the boundary faces of a partition given by its number. Let pc=grid[PartitionCells]. Then all cells with index i ∈ pc[p]:pc[p+1]-1 belong to partition p.

    source
    ExtendableGrids.PartitionNodesType
    abstract type PartitionNodes <: AbstractGridIntegerArray1D

    Key type describing the nodes of a given partition.

    grid[PartitionNodes] returns an integer vector describing the nodes of a partition given by its number. Let pn=grid[PartitionNodes]. Then all nodes with index i ∈ pn[p]:pn[p+1]-1 belong to partition p.

    source
    ExtendableGrids.PartitionEdgesType
    abstract type PartitionEdges <: AbstractGridIntegerArray1D

    Key type describing the edges of a given partition.

    grid[PartitionEdges] returns an integer vector describing the edges of a partition given by its number. Let pe=grid[PartitionEdges]. Then all edges with index i ∈ pe[p]:pe[p+1]-1 belong to partition p.

    source
    ExtendableGrids.NodePermutationType
    abstract type NodePermutation <: AbstractGridIntegerArray1D

    Key type describing the permutation of the nodes of a partitioned grid with respect to the unpartitioned origin.

    If pgrid is the partitioned grid and grid is the unpartitioned origin, then

    pgrid[Coordinates][:,pgrid[NodePermutation]]==grid[Coordinates]

    source

    Internal API

    These functions & methods are neither exported nor public.

    ExtendableGrids.instantiateMethod
    instantiate(grid::ExtendableGrid, ::Type{PColorPartitions})

    If not given otherwise, instantiate partition data with trivial partitioning.

    source
    ExtendableGrids.instantiateMethod
    instantiate(grid::ExtendableGrid, ::Type{PartitionCells})

    If not given otherwise, instantiate partition data with trivial partitioning.

    source
    ExtendableGrids.instantiateMethod
    instantiate(grid::ExtendableGrid, ::Type{PartitionBFaces})

    If not given otherwise, instantiate partition data with trivial partitioning.

    source
    ExtendableGrids.instantiateMethod
    instantiate(grid::ExtendableGrid, ::Type{PartitionNodes})

    If not given otherwise, instantiate partition data with trivial partitioning.

    source
    ExtendableGrids.partgraphFunction
    partgraph(cellpartitions, ncellpartitions, cellcelladj)
    +

    (internal) Create neigbourhood graph for given partitioning.

    source
    ExtendableGrids.dopartitionFunction
    dopartition(grid, alg)
    +

    (Internal utility function) Core function for partitioning grid cells which dispatches over partitioning algorithms. Partitioning extensions should add methods to this function.

    source
    ExtendableGrids.reorder_cellsFunction
    reorder_cells(
    +    grid,
    +    cellpartitions,
    +    ncellpartitions,
    +    colpart
    +)
    +

    (Internal utility function) Create cell permutation such that all cells belonging to one partition are numbered contiguously, return grid with reordered cells.

    source
    ExtendableGrids.induce_node_partitioning!Function
    induce_node_partitioning!(
    +    grid,
    +    cn,
    +    nc;
    +    trivial,
    +    keep_nodepermutation
    +)
    +

    (internal) Induce node partitioning from cell partitioning of grid. The algorithm assumes that nodes get the partition number from the partition numbers of the cells having this node in common. If these are differnt, the highest number is taken.

    Node partitioning should support parallel matrix-vector products with SparseMatrixCSC. The current algorithm assumes that nodes get the partition number from the partition numbers of the cells having this node in common. If these are differnt, the highest number is taken.

    Simply inducing node partition numbers from cell partition numbers does not always fulfill the condition that there is no node which is neigbour of nodes from two different partition with the same color.

    This situation is detected and corrected by joining respective critical partitions, sacrificing a bit of parallel efficiency for correctness.

    source
    ExtendableGrids.induce_edge_partitioning!Function
    induce_edge_partitioning!(grid; trivial)
    +

    (internal) Induce edge partitioning from cell partitioning of grid. The algorithm assumes that nodes get the partition number from the partition numbers of the cells having this node in common. If these are differnt, the highest number is taken.

    This method triggers creation of rather complex edge information and should be called only if this information is really necessary.

    source
    diff --git a/v1.10.2/plutostatichtml_examples/pluto-partitioning/index.html b/v1.10.2/plutostatichtml_examples/pluto-partitioning/index.html new file mode 100644 index 00000000..515cb3c2 --- /dev/null +++ b/v1.10.2/plutostatichtml_examples/pluto-partitioning/index.html @@ -0,0 +1,266 @@ + +Partitioning · ExtendableGrids.jl
    + + + +
    begin
    +    import Pkg as _Pkg
    +    haskey(ENV, "PLUTO_PROJECT") && _Pkg.activate(ENV["PLUTO_PROJECT"])
    +    using Revise, Test
    +    import PlutoUI
    +    import Metis
    +    using ExtendableGrids: simplexgrid, partition, num_partitions, num_pcolors
    +    using ExtendableGrids: partition_cells, pcolor_partitions, pcolors
    +    using ExtendableGrids: PlainMetisPartitioning, RecursiveMetisPartitioning
    +    using ExtendableGrids: PColorPartitions, PartitionNodes, PartitionCells
    +    using ExtendableGrids: CellVolumes
    +    using GridVisualize: gridplot, default_plotter!
    +    import CairoMakie
    +    isdefined(Main, :PlutoRunner) && default_plotter!(CairoMakie)
    +end;
    + + + + + +

    Partitioning example

    +
    + + +

    Provide a glance on grid partitioning. This will be made more comprehensive over time.

    + +
    X = 0:0.25:10
    +
    0.0:0.25:10.0
    + +
    grid = simplexgrid(X, X)
    +
    ExtendableGrids.ExtendableGrid{Float64, Int32};
    +dim: 2 nodes: 1681 cells: 3200 bfaces: 160
    +
    + +
    gridplot(grid; linewidth = 0.1)
    + + + +

    By default, the grid is partitioned in a trivial way.

    + + +

    The partition function returns a differently partitioned grid.

    + + +
         partition(grid::ExtendableGrid,
    +               alg::AbstractPartitioningAlgorithm;
    +               nodes = false,
    +               keep_nodepermutation = false,
    +               edges = false )

    Partition cells of grid according to alg, such that the neigborhood graph of partitions is colored in such a way, that all partitions with a given color can be worked on in parallel. Cells are renumbered such that cell numbers for a given partition are numbered contiguously.

    Return the resulting grid.

    Useful for parallel FEM assembly and cellwise FVM assembly.

    Keyword arguments:

    • nodes: if true, induce node partitioning from cell partitioning. Used for node/edgewise FVM assembly. In addition the resulting partitioning supports parallel matrix-vector products with SparseMatrixCSC. Nodes are renumbered compared to the original grid. If false (default), a trivial partitioning of the nodes is created such that all nodes belong to partition 1 and all others are empty.

    • keep_nodepermutation: if true, keep the node permutation with respect to the original grid in grid[NodePermutation].

    • edges: if true, induce partitioning of edges from cell partitioning. Used for node/edgewise FVM assembly. This step creates a number of relatively expensive additional adjacencies. If false (default), a trivial partitioning of the edges is created such that all edges belong to partition 1 and all others are empty.

    Access:

    A parallel loop over grid cells thus looks like

    for color in pcolors(grid)
    +    @threads for part in pcolor_partitions(grid, color)
    +                for cell in partition_cells(grid, part)
    +                 ...
    +                end
    +             end
    +end

    Without a call to partition, all these functions return trivial data such that the above sample code stays valid.

    Note

    partition must be called before obtaining any other adjacencies of a grid.

    Currently, partitioning does not cover the boundary, boundary cells belong to one big trivial partition.

    + + +

    partition has different backends which can be triggered by alg.

    + + +

    PlainMetisPartitioning

    + + +

    Partition grid using PlainMetisPartitioning

    + + +
    struct PlainMetisPartitioning <: ExtendableGrids.AbstractPartitioningAlgorithm

    Subdivide grid into npart partitions using Metis.partition and color the resulting partition neigborhood graph. This requires to import Metis.jl in order to trigger the corresponding extension.

    This algorithm allows to control the overall number of partitions. The number of partitions per color comes from the subsequent partition graph coloring and in the moment cannot be controlled.

    Parameters:

    • npart::Int64: Number of partitions (default: 20)

    + +
    pgrid1 = partition(grid, PlainMetisPartitioning(; npart = 10))
    +
    ExtendableGrids.ExtendableGrid{Float64, Int32};
    +dim: 2 nodes: 1681 cells: 3200 bfaces: 160, edges: 4880
    +partitions/color: [3, 2, 3, 2]
    +
    + + +

    This results in the following partitioning of the grid cells:

    + +
    gridplot(pgrid1; cellcoloring = :partitions, linewidth = 0.1)
    + + + +

    The neigborhood graph of the partitions gets colored in such a way that adjacent partitions have different colors. As a result, e.g. FEM assembly threads can run in parallel on partitions with the same color. If we color cells by their partition color, we get the following plot:

    + +
    gridplot(pgrid1; cellcoloring = :pcolors, linewidth = 0.1)
    + + + +

    Partition data are stored in a number of fields:

    + + +

    Accessing partitioning data

    + + +

    PColorPartitions

    + + +
    abstract type PColorPartitions <: ExtendableGrids.AbstractGridIntegerArray1D

    Key type describing colors of partitions. These correspond to a coloring of the neigborhood graphs of partitions such that operations (e.g. FEM assembly) on partitions of a given color can be performed in parallel.

    grid[PColorPartitions] returns an integer vector describing the partition colors ("pcolors") of a grid. Let p=grid[PColorPartitions]. Then all partitions with numbers i ∈ p[c]:p[c+1]-1 have "color" c. See also pcolors.

    + +
    pgrid1[PColorPartitions]
    +
    5-element Vector{Int32}:
    +  1
    +  4
    +  6
    +  9
    + 11
    + + +

    This means that partitions 1:3 have color 1, partitions 4:5 have color 2 etc.

    + + +

    See also:

    + + +
    pcolor_partitions(grid, color)
    +

    Return range of partitions for given pcolor based on grid[PColorPartitions].

    + + +

    PartitionCells

    + + +
    abstract type PartitionCells <: ExtendableGrids.AbstractGridIntegerArray1D

    Key type describing the cells of a given partition.

    grid[PartitionCells] returns an integer vector describing the cells of a partition given by its number. Let pc=grid[PartitionCells]. Then all cells with index i ∈ pc[p]:pc[p+1]-1 belong to partition p.

    + +
    pgrid1[PartitionCells]
    +
    11-element Vector{Int32}:
    +    1
    +  320
    +  642
    +  962
    + 1286
    + 1604
    + 1929
    + 2248
    + 2562
    + 2879
    + 3201
    + + +

    This means that cells 1:319 belong to partition 1, cells 320:641 belong to partition 2 etc. See also:

    + + +
    partition_cells(grid, part)
    +

    Return range of cells belonging to a given partition grid[PartitionCells].

    + + +

    PartitionNodes

    + + +
    abstract type PartitionNodes <: ExtendableGrids.AbstractGridIntegerArray1D

    Key type describing the nodes of a given partition.

    grid[PartitionNodes] returns an integer vector describing the nodes of a partition given by its number. Let pn=grid[PartitionNodes]. Then all nodes with index i ∈ pn[p]:pn[p+1]-1 belong to partition p.

    + + +
    2-element Vector{Int32}:
    +    1
    + 1682
    + + +

    Here, we see, that there is just one trivial node partition. If there is a need for a partition of the nodes, the node kwarg in partition needs to be set to true:

    + +
    pgrid2 = partition(grid, PlainMetisPartitioning(; npart = 10); nodes = true)
    +
    ExtendableGrids.ExtendableGrid{Float64, Int32};
    +dim: 2 nodes: 1681 cells: 3200 bfaces: 160, edges: 4880
    +partitions/color: [3, 2, 3, 2]
    +
    + +
    pgrid2[PartitionNodes]
    +
    11-element Vector{Int32}:
    +    1
    +  134
    +  299
    +  440
    +  606
    +  769
    +  951
    + 1123
    + 1309
    + 1494
    + 1682
    + + +

    After partitioning, the PartitionNodes entry has the information on node partition numbers.

    + + +

    Assembly loops

    + + +

    Assembly loops can be run in parallel on for partitions of the same color.

    + +
    begin
    +    cvol = pgrid1[CellVolumes]
    +    pvol = zeros(num_partitions(pgrid1))
    +    for color in pcolors(pgrid1)
    +        Threads.@threads for part in pcolor_partitions(pgrid1, color)
    +            for cell in partition_cells(pgrid1, part)
    +                pvol[part] += cvol[cell]
    +            end
    +        end
    +        @info "Area of partitions of color $color: $(sum(pvol[pcolor_partitions(pgrid1, color)]))"
    +    end
    +end
    + + +
    @test sum(pvol)-sum(cvol) ≈ 0.0
    +
    Test Passed
    + + +

    RecursiveMetisPartitioning

    + + +

    This is another partitioning algrorithm which recursively creates colored partitions.

    + + +
    struct RecursiveMetisPartitioning <: ExtendableGrids.AbstractPartitioningAlgorithm

    Subdivide grid into npart partitions using Metis.partition and calculate cell separators from this partitioning. The initial partitions get color 1, and the separator gets color 2. This is continued recursively with partitioning of the separator into npart partitions and calculating the spearator of the separator, giving it color 3.

    This algorithm allows to control the number of partitions in color 1 which correspond to the bulk of the work. The overall number of partitions will be in the range of 3*npart.

    If the grid is too coarse for that many partitions, several of them may be just empty.

    Parameters:

    • npart::Int64: Number of color 1 partitions (default: 4)

    • maxdepth::Int64: Recursion depth (default: 1)

    • separatorwidth::Int64: Separator width (default: 2)

    + +
    pgrid3 = partition(grid, RecursiveMetisPartitioning(; npart = 5))
    +
    ExtendableGrids.ExtendableGrid{Float64, Int32};
    +dim: 2 nodes: 1681 cells: 3200 bfaces: 160, edges: 4880
    +partitions/color: [5, 5, 4]
    +
    + + + + + + +
    +

    Built with Julia 1.11.1 and

    +CairoMakie 0.12.14
    +ExtendableGrids 1.10.1
    +GridVisualize 1.8.0
    +Metis 1.5.0
    +Pkg 1.11.0
    +PlutoUI 0.7.60
    +Revise 3.6.2
    +Test 1.11.0 +
    + +
    diff --git a/v1.10.2/refinement/index.html b/v1.10.2/refinement/index.html new file mode 100644 index 00000000..5957892c --- /dev/null +++ b/v1.10.2/refinement/index.html @@ -0,0 +1,20 @@ + +Mesh refinement · ExtendableGrids.jl

    Mesh refinement

    API

    ExtendableGrids.RGB_refineMethod
    RGB_refine(
    +    source_grid::ExtendableGrid{T, K},
    +    facemarkers::Vector{Bool};
    +    store_parents
    +) -> ExtendableGrid
    +

    generates a new ExtendableGrid by red-green-blue mesh refinement of triangular meshes, see e.g.

    Carstensen, C. –An Adaptive Mesh-Refining Algorithm Allowing for an H^1 Stable L^2 Projection onto Courant Finite Element Spaces– Constr Approx 20, 549–564 (2004). https://doi.org/10.1007/s00365-003-0550-5

    The bool array facemarkers determines which faces should be bisected. Note, that a closuring is performed such that the first face in every triangle with a marked face is also refined.

    source
    ExtendableGrids.barycentric_refineMethod
    barycentric_refine(
    +    source_grid::ExtendableGrid{T, K};
    +    store_parents
    +) -> ExtendableGrid
    +

    generates a new ExtendableGrid by barycentric refinement of each cell in the source grid

    barycentric refinement is available for these ElementGeometries

    • Quadrilateral2D (first split into Triangle2D)
    • Triangle2D
    source
    ExtendableGrids.split_grid_intoMethod
    split_grid_into(
    +    source_grid::ExtendableGrid{T, K},
    +    targetgeometry::Type{<:AbstractElementGeometry};
    +    store_parents
    +) -> ExtendableGrid
    +

    generates a new ExtendableGrid by splitting each cell into subcells of the specified targetgeometry

    split rules exist for

    • Quadrilateral2D into Triangle2D
    • Hexahedron3D into Tetrahedron3D
    source
    ExtendableGrids.uniform_refineMethod
    uniform_refine(
    +    source_grid::ExtendableGrid{T, K};
    +    store_parents
    +) -> ExtendableGrid
    +

    generates a new ExtendableGrid by uniform refinement of each cell in the given grid

    uniform refinement rules are available for these AbstractElementGeometries:

    • Line1D (bisection into two subsegments)
    • Triangle2D (red refinement into four subtriangles)
    • Quadrilateral2D (into four subquadrilaterals)
    • Tetrahedron (into eight subtetrahedrons)
    • Hexahedron (into eight subhexahedrons)

    if multiple geometries are in the mesh uniform refinement will only work if all refinement rules refine faces and edges (in 3D) equally (so no hanging nodes are created)

    source
    diff --git a/v1.10.2/regionedit/index.html b/v1.10.2/regionedit/index.html new file mode 100644 index 00000000..33f79b80 --- /dev/null +++ b/v1.10.2/regionedit/index.html @@ -0,0 +1,25 @@ + +Region editing · ExtendableGrids.jl

    Region editing

    Tools for editing grid region numbers

    ExtendableGrids.bfacemask!Function
    bfacemask!(grid::ExtendableGrid,
    +                maskmin,
    +                maskmax,
    +                ireg;
    +                allow_new=true,
    +                tol=1.0e-10)

    Edit region numbers of grid boundary facets via rectangular mask. If allow_new is true (default), new facets are added.

    ireg may be an integer or a function ireg(current_region).

    A zero region number removes boundary faces.

    Examples: Rectangle-with-multiple-regions

    source
    ExtendableGrids.rect!Function
    rect!(grid,maskmin,maskmax; 
    +      region=1, 
    +      bregion=1, 
    +      bregions=nothing, 
    +      tol=1.0e-10)

    Place a rectangle into a rectangular grid. It places a cellmask according to maskmin and maskmax, and introduces boundary faces via `bfacesmask! at all sides of the mask area. It is checked that the coordinate values in the mask match (with tolerance) corresponding directional coordinates of the grid.

    If bregions is given it is assumed to be a vector corresponding to the number of sides, im the sequence w,e in 1D. s,e,n,w in 2D and s,e,n,w,b,t in 3D.

    bregion or elements of bregions can be numbers or functions ireg(current_region).

    Examples: Subgrid-from-rectangle, Rect2d-with-bregion-function, Cross3d

    source
    ExtendableGrids.bedgemask!Function
    bedgemask!(
    +    grid::ExtendableGrid,
    +    xa,
    +    xb,
    +    ireg::Int64;
    +    tol
    +) -> ExtendableGrid
    +

    Edit region numbers of grid boundary edges via line mask. This only works for 3D grids.

    source
    diff --git a/v1.10.2/script_examples/cross3d.png b/v1.10.2/script_examples/cross3d.png new file mode 100644 index 00000000..3779169d Binary files /dev/null and b/v1.10.2/script_examples/cross3d.png differ diff --git a/v1.10.2/script_examples/examples1d.jl b/v1.10.2/script_examples/examples1d.jl new file mode 100644 index 00000000..43215a6d --- /dev/null +++ b/v1.10.2/script_examples/examples1d.jl @@ -0,0 +1,69 @@ +# 1D Grid examples +# =============== +using ExtendableGrids + +# ## Interval from vector +# +function interval_from_vector() + X = collect(0:0.05:1) + grid = simplexgrid(X) +end +# ![](interval_from_vector.png) + +# +# ## Interval with local refinement +# +function interval_localref() + XLeft = geomspace(0.0, 0.5, 0.1, 0.01) + XRight = geomspace(0.5, 1.0, 0.01, 0.1) + X = glue(XLeft, XRight) + grid = simplexgrid(X) +end +# ![](interval_localref.png) + +# +# ## Interval with multiple regions +# +function interval_multiregion() + X = collect(0:0.05:1) + grid = simplexgrid(X) + cellmask!(grid, [0.0], [0.5], 3) + bfacemask!(grid, [0.5], [0.5], 4) + grid +end +# ![](interval_multiregion.png) +# +# ## Multiple regions and subgrid +# +function interval_subgrid() + X = collect(0:0.01:1) + grid = simplexgrid(X) + bfacemask!(grid, [0.5], [0.5], 3) + cellmask!(grid, [0.0], [0.25], 2) + cellmask!(grid, [0.20], [0.5], 3) + subgrid(grid, [2, 3]) +end +# ![](interval_subgrid.png) +# ## CI callbacks for [ExampleJuggler.jl](https://github.com/j-fu/ExampleJuggler.jl) +# Unit tests +using Test + +function runtests() + @test numbers_match(interval_from_vector(), 21, 20, 2) + @test numbers_match(interval_localref(), 27, 26, 2) + @test numbers_match(interval_multiregion(), 21, 20, 3) + @test numbers_match(interval_subgrid(), 51, 50, 2) +end + +# Plot generation +using GridVisualize +function generateplots(picdir; Plotter = nothing) + if isdefined(Plotter, :Makie) + size = (500, 200) + legend = :rt + Plotter.save(joinpath(picdir, "interval_from_vector.png"), gridplot(interval_from_vector(); Plotter, size, legend)) + Plotter.save(joinpath(picdir, "interval_localref.png"), gridplot(interval_localref(); Plotter, size, legend)) + Plotter.save(joinpath(picdir, "interval_multiregion.png"), gridplot(interval_multiregion(); Plotter, size, legend)) + Plotter.save(joinpath(picdir, "interval_subgrid.png"), gridplot(interval_subgrid(); Plotter, size, legend)) + end +end diff --git a/v1.10.2/script_examples/examples1d/index.html b/v1.10.2/script_examples/examples1d/index.html new file mode 100644 index 00000000..b9933237 --- /dev/null +++ b/v1.10.2/script_examples/examples1d/index.html @@ -0,0 +1,40 @@ + +examples1d · ExtendableGrids.jl

    1D Grid examples

    using ExtendableGrids

    Interval from vector

    function interval_from_vector()
    +    X = collect(0:0.05:1)
    +    grid = simplexgrid(X)
    +end

    Interval with local refinement

    function interval_localref()
    +    XLeft = geomspace(0.0, 0.5, 0.1, 0.01)
    +    XRight = geomspace(0.5, 1.0, 0.01, 0.1)
    +    X = glue(XLeft, XRight)
    +    grid = simplexgrid(X)
    +end

    Interval with multiple regions

    function interval_multiregion()
    +    X = collect(0:0.05:1)
    +    grid = simplexgrid(X)
    +    cellmask!(grid, [0.0], [0.5], 3)
    +    bfacemask!(grid, [0.5], [0.5], 4)
    +    grid
    +end

    Multiple regions and subgrid

    function interval_subgrid()
    +    X = collect(0:0.01:1)
    +    grid = simplexgrid(X)
    +    bfacemask!(grid, [0.5], [0.5], 3)
    +    cellmask!(grid, [0.0], [0.25], 2)
    +    cellmask!(grid, [0.20], [0.5], 3)
    +    subgrid(grid, [2, 3])
    +end

    CI callbacks for ExampleJuggler.jl

    Unit tests

    using Test
    +
    +function runtests()
    +    @test numbers_match(interval_from_vector(), 21, 20, 2)
    +    @test numbers_match(interval_localref(), 27, 26, 2)
    +    @test numbers_match(interval_multiregion(), 21, 20, 3)
    +    @test numbers_match(interval_subgrid(), 51, 50, 2)
    +end

    Plot generation

    using GridVisualize
    +function generateplots(picdir; Plotter = nothing)
    +    if isdefined(Plotter, :Makie)
    +        size = (500, 200)
    +        legend = :rt
    +        Plotter.save(joinpath(picdir, "interval_from_vector.png"), gridplot(interval_from_vector(); Plotter, size, legend))
    +        Plotter.save(joinpath(picdir, "interval_localref.png"), gridplot(interval_localref(); Plotter, size, legend))
    +        Plotter.save(joinpath(picdir, "interval_multiregion.png"), gridplot(interval_multiregion(); Plotter, size, legend))
    +        Plotter.save(joinpath(picdir, "interval_subgrid.png"), gridplot(interval_subgrid(); Plotter, size, legend))
    +    end
    +end

    This page was generated using Literate.jl.

    diff --git a/v1.10.2/script_examples/examples2d.jl b/v1.10.2/script_examples/examples2d.jl new file mode 100644 index 00000000..22d17d15 --- /dev/null +++ b/v1.10.2/script_examples/examples2d.jl @@ -0,0 +1,131 @@ +# 2D Grid examples +# =============== +# +using Triangulate, ExtendableGrids, SimplexGridFactory + +# ## Rectangle +function rectangle() + X = collect(0:0.05:1) + Y = collect(0:0.05:1) + simplexgrid(X, X) +end +# ![](rectangle.png) +# +# ## Rectangle with local refinement +# +function rectangle_localref() + hmin = 0.01 + hmax = 0.1 + XLeft = geomspace(0.0, 0.5, hmax, hmin) + XRight = geomspace(0.5, 1.0, hmin, hmax) + X = glue(XLeft, XRight) + simplexgrid(X, X) +end +# ![](rectangle_localref.png) + +# +# ## Rectangle with multiple regions +# +function rectangle_multiregion() + X = collect(0:0.05:1) + Y = collect(0:0.05:1) + grid = simplexgrid(X, Y) + cellmask!(grid, [0.0, 0.0], [1.0, 0.5], 3) + bfacemask!(grid, [0.0, 0.0], [0.0, 0.5], 5) + bfacemask!(grid, [1.0, 0.0], [1.0, 0.5], 6) + bfacemask!(grid, [0.0, 0.5], [1.0, 0.5], 7) +end +# ![](rectangle_multiregion.png) + +# +# ## Subgrid from rectangle +# +function rectangle_subgrid() + X = collect(0:0.05:1) + Y = collect(0:0.05:1) + grid = simplexgrid(X, Y) + rect!(grid, [0.25, 0.25], [0.75, 0.75]; region = 2, bregion = 5) + subgrid(grid, [1]) +end +# ![](rectangle_subgrid.png) + +# +# ## Rect2d with bregion function +# +# Here, we use function as bregion parameter - this allows to +# have no bfaces at the interface between the two rects. +function rect2d_bregion_function() + X = collect(0:0.5:10) + Y = collect(0:0.5:10) + grid = simplexgrid(X, Y) + rect!(grid, [5, 4], [9, 6]; region = 2, bregions = [5, 5, 5, 5]) + + rect!(grid, [4, 2], [5, 8]; region = 2, bregion = cur -> cur == 5 ? 0 : 8) + + subgrid(grid, [2]) +end +# ![](rect2d_bregion_function.png) + +function sorted_subgrid(; maxvolume = 0.01) + builder = SimplexGridBuilder(; Generator = Triangulate) + + p1 = point!(builder, 0, 0) + p2 = point!(builder, 1, 0) + p3 = point!(builder, 1, 2) + p4 = point!(builder, 0, 1) + p5 = point!(builder, -1, 2) + + facetregion!(builder, 1) + facet!(builder, p1, p2) + facetregion!(builder, 2) + facet!(builder, p2, p3) + facetregion!(builder, 3) + facet!(builder, p3, p4) + facetregion!(builder, 4) + facet!(builder, p4, p5) + facetregion!(builder, 5) + facet!(builder, p5, p1) + + g = simplexgrid(builder; maxvolume) + sg = subgrid(g, [2]; boundary = true, transform = (a, b) -> a[1] = b[2]) + f = map((x, y) -> sin(3x) * cos(3y), g) + sf = view(f, sg) + g, sg, sf +end +# ![](sorted_subgrid.png) +# ## CI callbacks for [ExampleJuggler.jl](https://github.com/j-fu/ExampleJuggler.jl) +# Unit tests +using Test +function runtests() + @test numbers_match(rectangle(), 441, 800, 80) + @test numbers_match(rectangle_localref(), 729, 1352, 104) + @test numbers_match(rectangle_multiregion(), 441, 800, 100) + @test numbers_match(rectangle_subgrid(), 360, 600, 120) + @test numbers_match(rect2d_bregion_function(), 79, 112, 44) + + g, sg, sf = sorted_subgrid() + @test numbers_match(g, 187, 306, 66) + @test numbers_match(sg, 17, 16, 0) + @test issorted(view(sg[Coordinates], 1, :)) +end + +# Plot generation +using GridVisualize +function generateplots(picdir; Plotter = nothing) + if isdefined(Plotter, :Makie) + size = (300, 300) + Plotter.save(joinpath(picdir, "rectangle.png"), gridplot(rectangle(); Plotter, size)) + Plotter.save(joinpath(picdir, "rectangle_localref.png"), gridplot(rectangle_localref(); Plotter, size)) + Plotter.save(joinpath(picdir, "rectangle_multiregion.png"), gridplot(rectangle_multiregion(); Plotter, size)) + Plotter.save(joinpath(picdir, "rectangle_subgrid.png"), gridplot(rectangle_subgrid(); Plotter, size)) + Plotter.save(joinpath(picdir, "rect2d_bregion_function.png"), gridplot(rect2d_bregion_function(); Plotter, size)) + + g, sg, sf = sorted_subgrid() + p = GridVisualizer(; Plotter, layout = (1, 3), size = (800, 300)) + gridplot!(p[1, 1], g) + gridplot!(p[1, 2], sg) + scalarplot!(p[1, 3], sg, sf) + fname = joinpath(picdir, "sorted_subgrid.png") + Plotter.save(fname, reveal(p)) + end +end diff --git a/v1.10.2/script_examples/examples2d/index.html b/v1.10.2/script_examples/examples2d/index.html new file mode 100644 index 00000000..ec360f70 --- /dev/null +++ b/v1.10.2/script_examples/examples2d/index.html @@ -0,0 +1,91 @@ + +examples2d · ExtendableGrids.jl

    2D Grid examples

    using Triangulate, ExtendableGrids, SimplexGridFactory

    Rectangle

    function rectangle()
    +    X = collect(0:0.05:1)
    +    Y = collect(0:0.05:1)
    +    simplexgrid(X, X)
    +end

    Rectangle with local refinement

    function rectangle_localref()
    +    hmin = 0.01
    +    hmax = 0.1
    +    XLeft = geomspace(0.0, 0.5, hmax, hmin)
    +    XRight = geomspace(0.5, 1.0, hmin, hmax)
    +    X = glue(XLeft, XRight)
    +    simplexgrid(X, X)
    +end

    Rectangle with multiple regions

    function rectangle_multiregion()
    +    X = collect(0:0.05:1)
    +    Y = collect(0:0.05:1)
    +    grid = simplexgrid(X, Y)
    +    cellmask!(grid, [0.0, 0.0], [1.0, 0.5], 3)
    +    bfacemask!(grid, [0.0, 0.0], [0.0, 0.5], 5)
    +    bfacemask!(grid, [1.0, 0.0], [1.0, 0.5], 6)
    +    bfacemask!(grid, [0.0, 0.5], [1.0, 0.5], 7)
    +end

    Subgrid from rectangle

    function rectangle_subgrid()
    +    X = collect(0:0.05:1)
    +    Y = collect(0:0.05:1)
    +    grid = simplexgrid(X, Y)
    +    rect!(grid, [0.25, 0.25], [0.75, 0.75]; region = 2, bregion = 5)
    +    subgrid(grid, [1])
    +end

    Rect2d with bregion function

    Here, we use function as bregion parameter - this allows to have no bfaces at the interface between the two rects.

    function rect2d_bregion_function()
    +    X = collect(0:0.5:10)
    +    Y = collect(0:0.5:10)
    +    grid = simplexgrid(X, Y)
    +    rect!(grid, [5, 4], [9, 6]; region = 2, bregions = [5, 5, 5, 5])
    +
    +    rect!(grid, [4, 2], [5, 8]; region = 2, bregion = cur -> cur == 5 ? 0 : 8)
    +
    +    subgrid(grid, [2])
    +end

    function sorted_subgrid(; maxvolume = 0.01)
    +    builder = SimplexGridBuilder(; Generator = Triangulate)
    +
    +    p1 = point!(builder, 0, 0)
    +    p2 = point!(builder, 1, 0)
    +    p3 = point!(builder, 1, 2)
    +    p4 = point!(builder, 0, 1)
    +    p5 = point!(builder, -1, 2)
    +
    +    facetregion!(builder, 1)
    +    facet!(builder, p1, p2)
    +    facetregion!(builder, 2)
    +    facet!(builder, p2, p3)
    +    facetregion!(builder, 3)
    +    facet!(builder, p3, p4)
    +    facetregion!(builder, 4)
    +    facet!(builder, p4, p5)
    +    facetregion!(builder, 5)
    +    facet!(builder, p5, p1)
    +
    +    g = simplexgrid(builder; maxvolume)
    +    sg = subgrid(g, [2]; boundary = true, transform = (a, b) -> a[1] = b[2])
    +    f = map((x, y) -> sin(3x) * cos(3y), g)
    +    sf = view(f, sg)
    +    g, sg, sf
    +end

    CI callbacks for ExampleJuggler.jl

    Unit tests

    using Test
    +function runtests()
    +    @test numbers_match(rectangle(), 441, 800, 80)
    +    @test numbers_match(rectangle_localref(), 729, 1352, 104)
    +    @test numbers_match(rectangle_multiregion(), 441, 800, 100)
    +    @test numbers_match(rectangle_subgrid(), 360, 600, 120)
    +    @test numbers_match(rect2d_bregion_function(), 79, 112, 44)
    +
    +    g, sg, sf = sorted_subgrid()
    +    @test numbers_match(g, 187, 306, 66)
    +    @test numbers_match(sg, 17, 16, 0)
    +    @test issorted(view(sg[Coordinates], 1, :))
    +end

    Plot generation

    using GridVisualize
    +function generateplots(picdir; Plotter = nothing)
    +    if isdefined(Plotter, :Makie)
    +        size = (300, 300)
    +        Plotter.save(joinpath(picdir, "rectangle.png"), gridplot(rectangle(); Plotter, size))
    +        Plotter.save(joinpath(picdir, "rectangle_localref.png"), gridplot(rectangle_localref(); Plotter, size))
    +        Plotter.save(joinpath(picdir, "rectangle_multiregion.png"), gridplot(rectangle_multiregion(); Plotter, size))
    +        Plotter.save(joinpath(picdir, "rectangle_subgrid.png"), gridplot(rectangle_subgrid(); Plotter, size))
    +        Plotter.save(joinpath(picdir, "rect2d_bregion_function.png"), gridplot(rect2d_bregion_function(); Plotter, size))
    +
    +        g, sg, sf = sorted_subgrid()
    +        p = GridVisualizer(; Plotter, layout = (1, 3), size = (800, 300))
    +        gridplot!(p[1, 1], g)
    +        gridplot!(p[1, 2], sg)
    +        scalarplot!(p[1, 3], sg, sf)
    +        fname = joinpath(picdir, "sorted_subgrid.png")
    +        Plotter.save(fname, reveal(p))
    +    end
    +end

    This page was generated using Literate.jl.

    diff --git a/v1.10.2/script_examples/examples3d.jl b/v1.10.2/script_examples/examples3d.jl new file mode 100644 index 00000000..f2c4491f --- /dev/null +++ b/v1.10.2/script_examples/examples3d.jl @@ -0,0 +1,60 @@ +# 3D Grid examples +# =============== +# +using ExtendableGrids + +# ## Quadrilateral +function quadrilateral(; hx = 0.25, hy = 0.2, hz = 0.1) + X = collect(0:hx:1) + Y = collect(0:hy:1) + Z = collect(0:hz:1) + simplexgrid(X, Y, Z) +end +# ![](quadrilateral.png) + +# ## Cross3d +function cross3d() + X = collect(0:0.1:1) + Y = collect(0:0.1:1) + Z = collect(0:0.1:1) + grid = simplexgrid(X, Y, Z) + + rect!(grid, (0, 0.4, 0), (1, 0.6, 0.2); region = 2, bregions = [1, 1, 1, 1, 2, 3]) + + rect!(grid, (0.4, 0, 0.2), (0.6, 1, 0.4); region = 2, bregions = [4, 4, 4, 4, (cur) -> cur == 3 ? 0 : 5, 6]) + + subgrid(grid, [2]) +end +# ![](cross3d.png) +# ## CI callbacks for [ExampleJuggler.jl](https://github.com/j-fu/ExampleJuggler.jl) +# Unit tests + +function mask_bedges() + grid = quadrilateral(; hx = 0.25, hy = 0.25, hz = 0.25) + + bedgemask!(grid, [0.0, 0.0, 0.0], [0.0, 0.0, 1.0], 1) + bedgemask!(grid, [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], 2) + bedgemask!(grid, [0.0, 1.0, 0.0], [0.0, 1.0, 1.0], 3) + bedgemask!(grid, [0.0, 0.0, 1.0], [0.0, 1.0, 1.0], 4) + bedgemask!(grid, [0.0, 1.0, 0.0], [0.0, 0.0, 1.0], 5) + + true +end + +using Test + +function runtests() + @test numbers_match(quadrilateral(), 330, 1200, 440) + @test mask_bedges() + @test numbers_match(cross3d(), 189, 480, 344) +end + +# Plot generation +using GridVisualize +function generateplots(picdir; Plotter = nothing) + if isdefined(Plotter, :Makie) + size = (400, 400) + Plotter.save(joinpath(picdir, "quadrilateral.png"), gridplot(quadrilateral(); Plotter, size)) + Plotter.save(joinpath(picdir, "cross3d.png"), gridplot(cross3d(); Plotter, size)) + end +end diff --git a/v1.10.2/script_examples/examples3d/index.html b/v1.10.2/script_examples/examples3d/index.html new file mode 100644 index 00000000..5d69037c --- /dev/null +++ b/v1.10.2/script_examples/examples3d/index.html @@ -0,0 +1,43 @@ + +examples3d · ExtendableGrids.jl

    3D Grid examples

    using ExtendableGrids

    Quadrilateral

    function quadrilateral(; hx = 0.25, hy = 0.2, hz = 0.1)
    +    X = collect(0:hx:1)
    +    Y = collect(0:hy:1)
    +    Z = collect(0:hz:1)
    +    simplexgrid(X, Y, Z)
    +end

    Cross3d

    function cross3d()
    +    X = collect(0:0.1:1)
    +    Y = collect(0:0.1:1)
    +    Z = collect(0:0.1:1)
    +    grid = simplexgrid(X, Y, Z)
    +
    +    rect!(grid, (0, 0.4, 0), (1, 0.6, 0.2); region = 2, bregions = [1, 1, 1, 1, 2, 3])
    +
    +    rect!(grid, (0.4, 0, 0.2), (0.6, 1, 0.4); region = 2, bregions = [4, 4, 4, 4, (cur) -> cur == 3 ? 0 : 5, 6])
    +
    +    subgrid(grid, [2])
    +end

    CI callbacks for ExampleJuggler.jl

    Unit tests

    function mask_bedges()
    +    grid = quadrilateral(; hx = 0.25, hy = 0.25, hz = 0.25)
    +
    +    bedgemask!(grid, [0.0, 0.0, 0.0], [0.0, 0.0, 1.0], 1)
    +    bedgemask!(grid, [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], 2)
    +    bedgemask!(grid, [0.0, 1.0, 0.0], [0.0, 1.0, 1.0], 3)
    +    bedgemask!(grid, [0.0, 0.0, 1.0], [0.0, 1.0, 1.0], 4)
    +    bedgemask!(grid, [0.0, 1.0, 0.0], [0.0, 0.0, 1.0], 5)
    +
    +    true
    +end
    +
    +using Test
    +
    +function runtests()
    +    @test numbers_match(quadrilateral(), 330, 1200, 440)
    +    @test mask_bedges()
    +    @test numbers_match(cross3d(), 189, 480, 344)
    +end

    Plot generation

    using GridVisualize
    +function generateplots(picdir; Plotter = nothing)
    +    if isdefined(Plotter, :Makie)
    +        size = (400, 400)
    +        Plotter.save(joinpath(picdir, "quadrilateral.png"), gridplot(quadrilateral(); Plotter, size))
    +        Plotter.save(joinpath(picdir, "cross3d.png"), gridplot(cross3d(); Plotter, size))
    +    end
    +end

    This page was generated using Literate.jl.

    diff --git a/v1.10.2/script_examples/gmsh.jl b/v1.10.2/script_examples/gmsh.jl new file mode 100644 index 00000000..e1abb3c3 --- /dev/null +++ b/v1.10.2/script_examples/gmsh.jl @@ -0,0 +1,317 @@ +# Gmsh examples +# =============== + +using ExtendableGrids +using Gmsh: gmsh + +# +# [Example t1](https://gmsh.info/doc/texinfo/gmsh.html#t1) from the GMSH docs +# +function gmsh_t1() + gmsh.initialize() + gmsh.option.setNumber("General.Terminal", 1) + gmsh.model.add("t1") + + lc = 1e-2 + gmsh.model.geo.addPoint(0, 0, 0, lc, 1) + gmsh.model.geo.addPoint(0.1, 0, 0, lc, 2) + gmsh.model.geo.addPoint(0.1, 0.3, 0, lc, 3) + + p4 = gmsh.model.geo.addPoint(0, 0.3, 0, lc) + + gmsh.model.geo.addLine(1, 2, 1) + gmsh.model.geo.addLine(3, 2, 2) + gmsh.model.geo.addLine(3, p4, 3) + gmsh.model.geo.addLine(4, 1, p4) + + gmsh.model.geo.addCurveLoop([4, 1, -2, 3], 1) + gmsh.model.geo.addPlaneSurface([1], 1) + + gmsh.model.geo.synchronize() + + gmsh.model.addPhysicalGroup(0, [1, 2], 1) + gmsh.model.addPhysicalGroup(1, [1, 2], 2) + gmsh.model.addPhysicalGroup(2, [1], 6) + + gmsh.model.setPhysicalName(2, 6, "My surface") + + gmsh.model.mesh.generate(2) + grid = ExtendableGrids.simplexgrid_from_gmsh(gmsh.model) + gmsh.finalize() + grid +end +# ![](gmsh_t1.png) + +# +# [Example t4](https://gmsh.info/doc/texinfo/gmsh.html#t4) from the GMSH docs +# +function gmsh_t4() + gmsh.initialize() + + gmsh.model.add("t4") + + cm = 1e-02 + e1 = 4.5 * cm; e2 = 6 * cm / 2; e3 = 5 * cm / 2 + h1 = 5 * cm; h2 = 10 * cm; h3 = 5 * cm; h4 = 2 * cm; h5 = 4.5 * cm + R1 = 1 * cm; R2 = 1.5 * cm; r = 1 * cm + Lc1 = 0.01 + Lc2 = 0.003 + + function hypot(a, b) + return sqrt(a * a + b * b) + end + + ccos = (-h5*R1 + e2 * hypot(h5, hypot(e2, R1))) / (h5*h5 + e2*e2) + ssin = sqrt(1 - ccos*ccos) + + factory = gmsh.model.geo + factory.addPoint(-e1-e2, 0 , 0, Lc1, 1) + factory.addPoint(-e1-e2, h1 , 0, Lc1, 2) + factory.addPoint(-e3-r , h1 , 0, Lc2, 3) + factory.addPoint(-e3-r , h1+r , 0, Lc2, 4) + factory.addPoint(-e3 , h1+r , 0, Lc2, 5) + factory.addPoint(-e3 , h1+h2, 0, Lc1, 6) + factory.addPoint( e3 , h1+h2, 0, Lc1, 7) + factory.addPoint( e3 , h1+r , 0, Lc2, 8) + factory.addPoint( e3+r , h1+r , 0, Lc2, 9) + factory.addPoint( e3+r , h1 , 0, Lc2, 10) + factory.addPoint( e1+e2, h1 , 0, Lc1, 11) + factory.addPoint( e1+e2, 0 , 0, Lc1, 12) + factory.addPoint( e2 , 0 , 0, Lc1, 13) + + factory.addPoint( R1 / ssin, h5+R1*ccos, 0, Lc2, 14) + factory.addPoint( 0 , h5 , 0, Lc2, 15) + factory.addPoint(-R1 / ssin, h5+R1*ccos, 0, Lc2, 16) + factory.addPoint(-e2 , 0.0 , 0, Lc1, 17) + + factory.addPoint(-R2 , h1+h3 , 0, Lc2, 18) + factory.addPoint(-R2 , h1+h3+h4, 0, Lc2, 19) + factory.addPoint( 0 , h1+h3+h4, 0, Lc2, 20) + factory.addPoint( R2 , h1+h3+h4, 0, Lc2, 21) + factory.addPoint( R2 , h1+h3 , 0, Lc2, 22) + factory.addPoint( 0 , h1+h3 , 0, Lc2, 23) + + factory.addPoint( 0, h1+h3+h4+R2, 0, Lc2, 24) + factory.addPoint( 0, h1+h3-R2, 0, Lc2, 25) + + factory.addLine(1 , 17, 1) + factory.addLine(17, 16, 2) + + factory.addCircleArc(14,15,16, 3) + factory.addLine(14,13, 4) + factory.addLine(13,12, 5) + factory.addLine(12,11, 6) + factory.addLine(11,10, 7) + factory.addCircleArc(8,9,10, 8) + factory.addLine(8,7, 9) + factory.addLine(7,6, 10) + factory.addLine(6,5, 11) + factory.addCircleArc(3,4,5, 12) + factory.addLine(3,2, 13) + factory.addLine(2,1, 14) + factory.addLine(18,19, 15) + factory.addCircleArc(21,20,24, 16) + factory.addCircleArc(24,20,19, 17) + factory.addCircleArc(18,23,25, 18) + factory.addCircleArc(25,23,22, 19) + factory.addLine(21,22, 20) + + factory.addCurveLoop([17,-15,18,19,-20,16], 21) + factory.addPlaneSurface([21], 22) + factory.addCurveLoop([11,-12,13,14,1,2,-3,4,5,6,7,-8,9,10], 23) + + factory.addPlaneSurface([23,21], 24) + + factory.synchronize() + + v = gmsh.view.add("comments") + + gmsh.view.addListDataString(v, [10, -10], ["Created with Gmsh"]) + + gmsh.view.addListDataString(v, [0, 0.11, 0], ["Hole"], + ["Align", "Center", "Font", "Helvetica"]) + + gmsh.view.addListDataString(v, [0, 0.09, 0], ["file://../t4_image.png@0.01x0"], + ["Align", "Center"]) + + gmsh.view.addListDataString(v, [-0.01, 0.09, 0], + ["file://../t4_image.png@0.01x0,0,0,1,0,1,0"]) + + gmsh.view.addListDataString(v, [0, 0.12, 0], + ["file://../t4_image.png@0.01x0#"], + ["Align", "Center"]) + + gmsh.view.addListDataString(v, [150, -7], ["file://../t4_image.png@20x0"]) + + gmsh.view.option.setString(v, "DoubleClickedCommand", + "Printf('View[0] has been double-clicked!');") + gmsh.option.setString( + "Geometry.DoubleClickedLineCommand", + "Printf('Curve %g has been double-clicked!', Geometry.DoubleClickedEntityTag);") + + gmsh.model.setColor([(2, 22)], 127, 127, 127) + gmsh.model.setColor([(2, 24)], 160, 32, 240) + gmsh.model.setColor([(1, i) for i in 1:14], 255, 0, 0) + gmsh.model.setColor([(1, i) for i in 15:20], 255, 255, 0) + + gmsh.model.mesh.generate(2) + grid = ExtendableGrids.simplexgrid_from_gmsh(gmsh.model) + gmsh.finalize() + grid +end + +# ![](gmsh_t4.png) + +# +# [Example t5](https://gmsh.info/doc/texinfo/gmsh.html#t5) from the GMSH docs +# +function gmsh_t5() + + gmsh.initialize() + + gmsh.model.add("t5") + + lcar1 = .1 + lcar2 = .0005 + lcar3 = .055 + + gmsh.model.geo.addPoint(0.5,0.5,0.5, lcar2, 1) + gmsh.model.geo.addPoint(0.5,0.5,0, lcar1, 2) + gmsh.model.geo.addPoint(0,0.5,0.5, lcar1, 3) + gmsh.model.geo.addPoint(0,0,0.5, lcar1, 4) + gmsh.model.geo.addPoint(0.5,0,0.5, lcar1, 5) + gmsh.model.geo.addPoint(0.5,0,0, lcar1, 6) + gmsh.model.geo.addPoint(0,0.5,0, lcar1, 7) + gmsh.model.geo.addPoint(0,1,0, lcar1, 8) + gmsh.model.geo.addPoint(1,1,0, lcar1, 9) + gmsh.model.geo.addPoint(0,0,1, lcar1, 10) + gmsh.model.geo.addPoint(0,1,1, lcar1, 11) + gmsh.model.geo.addPoint(1,1,1, lcar1, 12) + gmsh.model.geo.addPoint(1,0,1, lcar1, 13) + gmsh.model.geo.addPoint(1,0,0, lcar1, 14) + + gmsh.model.geo.addLine(8,9, 1); gmsh.model.geo.addLine(9,12, 2) + gmsh.model.geo.addLine(12,11, 3); gmsh.model.geo.addLine(11,8, 4) + gmsh.model.geo.addLine(9,14, 5); gmsh.model.geo.addLine(14,13, 6) + gmsh.model.geo.addLine(13,12, 7); gmsh.model.geo.addLine(11,10, 8) + gmsh.model.geo.addLine(10,13, 9); gmsh.model.geo.addLine(10,4, 10) + gmsh.model.geo.addLine(4,5, 11); gmsh.model.geo.addLine(5,6, 12) + gmsh.model.geo.addLine(6,2, 13); gmsh.model.geo.addLine(2,1, 14) + gmsh.model.geo.addLine(1,3, 15); gmsh.model.geo.addLine(3,7, 16) + gmsh.model.geo.addLine(7,2, 17); gmsh.model.geo.addLine(3,4, 18) + gmsh.model.geo.addLine(5,1, 19); gmsh.model.geo.addLine(7,8, 20) + gmsh.model.geo.addLine(6,14, 21); + + gmsh.model.geo.addCurveLoop([-11,-19,-15,-18], 22) + gmsh.model.geo.addPlaneSurface([22], 23) + gmsh.model.geo.addCurveLoop([16,17,14,15], 24) + gmsh.model.geo.addPlaneSurface([24], 25) + gmsh.model.geo.addCurveLoop([-17,20,1,5,-21,13], 26) + gmsh.model.geo.addPlaneSurface([26], 27) + gmsh.model.geo.addCurveLoop([-4,-1,-2,-3], 28) + gmsh.model.geo.addPlaneSurface([28], 29) + gmsh.model.geo.addCurveLoop([-7,2,-5,-6], 30) + gmsh.model.geo.addPlaneSurface([30], 31) + gmsh.model.geo.addCurveLoop([6,-9,10,11,12,21], 32) + gmsh.model.geo.addPlaneSurface([32], 33) + gmsh.model.geo.addCurveLoop([7,3,8,9], 34) + gmsh.model.geo.addPlaneSurface([34], 35) + gmsh.model.geo.addCurveLoop([-10,18,-16,-20,4,-8], 36) + gmsh.model.geo.addPlaneSurface([36], 37) + gmsh.model.geo.addCurveLoop([-14,-13,-12,19], 38) + gmsh.model.geo.addPlaneSurface([38], 39) + + shells = [] + + sl = gmsh.model.geo.addSurfaceLoop([35,31,29,37,33,23,39,25,27]) + push!(shells, sl) + + function cheeseHole(x, y, z, r, lc, shells) + p1 = gmsh.model.geo.addPoint(x, y, z, lc) + p2 = gmsh.model.geo.addPoint(x+r,y, z, lc) + p3 = gmsh.model.geo.addPoint(x, y+r,z, lc) + p4 = gmsh.model.geo.addPoint(x, y, z+r, lc) + p5 = gmsh.model.geo.addPoint(x-r,y, z, lc) + p6 = gmsh.model.geo.addPoint(x, y-r,z, lc) + p7 = gmsh.model.geo.addPoint(x, y, z-r, lc) + + c1 = gmsh.model.geo.addCircleArc(p2,p1,p7) + c2 = gmsh.model.geo.addCircleArc(p7,p1,p5) + c3 = gmsh.model.geo.addCircleArc(p5,p1,p4) + c4 = gmsh.model.geo.addCircleArc(p4,p1,p2) + c5 = gmsh.model.geo.addCircleArc(p2,p1,p3) + c6 = gmsh.model.geo.addCircleArc(p3,p1,p5) + c7 = gmsh.model.geo.addCircleArc(p5,p1,p6) + c8 = gmsh.model.geo.addCircleArc(p6,p1,p2) + c9 = gmsh.model.geo.addCircleArc(p7,p1,p3) + c10 = gmsh.model.geo.addCircleArc(p3,p1,p4) + c11 = gmsh.model.geo.addCircleArc(p4,p1,p6) + c12 = gmsh.model.geo.addCircleArc(p6,p1,p7) + + l1 = gmsh.model.geo.addCurveLoop([c5,c10,c4]) + l2 = gmsh.model.geo.addCurveLoop([c9,-c5,c1]) + l3 = gmsh.model.geo.addCurveLoop([c12,-c8,-c1]) + l4 = gmsh.model.geo.addCurveLoop([c8,-c4,c11]) + l5 = gmsh.model.geo.addCurveLoop([-c10,c6,c3]) + l6 = gmsh.model.geo.addCurveLoop([-c11,-c3,c7]) + l7 = gmsh.model.geo.addCurveLoop([-c2,-c7,-c12]) + l8 = gmsh.model.geo.addCurveLoop([-c6,-c9,c2]) + + s1 = gmsh.model.geo.addSurfaceFilling([l1]) + s2 = gmsh.model.geo.addSurfaceFilling([l2]) + s3 = gmsh.model.geo.addSurfaceFilling([l3]) + s4 = gmsh.model.geo.addSurfaceFilling([l4]) + s5 = gmsh.model.geo.addSurfaceFilling([l5]) + s6 = gmsh.model.geo.addSurfaceFilling([l6]) + s7 = gmsh.model.geo.addSurfaceFilling([l7]) + s8 = gmsh.model.geo.addSurfaceFilling([l8]) + + sl = gmsh.model.geo.addSurfaceLoop([s1, s2, s3, s4, s5, s6, s7, s8]) + v = gmsh.model.geo.addVolume([sl]) + push!(shells, sl) + return v + end + + x = 0 + y = 0.75; z = 0; r = 0.09 + for t in 1:5 + x += 0.166 + z += 0.166 + v = cheeseHole(x, y, z, r, lcar3, shells) + gmsh.model.geo.addPhysicalGroup(3, [v], t) + end + + gmsh.model.geo.addVolume(shells, 186); + + gmsh.model.geo.synchronize() + + gmsh.model.addPhysicalGroup(3, [186], 10); + + gmsh.model.mesh.generate(3) + grid = ExtendableGrids.simplexgrid_from_gmsh(gmsh.model) + gmsh.finalize() + grid +end +# ![](gmsh_t5.png) + + +# ## CI callbacks for [ExampleJuggler.jl](https://github.com/j-fu/ExampleJuggler.jl) +# Unit tests +using Test +function runtests() + ok(grid)= num_nodes(grid) > 0 && num_cells(grid) > 0 && num_bfaces(grid) > 0 + @test ok(gmsh_t1()) + @test ok(gmsh_t4()) + @test ok(gmsh_t5()) +end + +# Plot generation +using GridVisualize +function generateplots(picdir; Plotter = nothing) + if isdefined(Plotter, :Makie) + size = (500, 500) + Plotter.save(joinpath(picdir, "gmsh_t1.png"), gridplot(gmsh_t1(); Plotter, size)) + Plotter.save(joinpath(picdir, "gmsh_t4.png"), gridplot(gmsh_t4(); Plotter, size)) + Plotter.save(joinpath(picdir, "gmsh_t5.png"), gridplot(gmsh_t5(); Plotter, size)) + end +end diff --git a/v1.10.2/script_examples/gmsh/index.html b/v1.10.2/script_examples/gmsh/index.html new file mode 100644 index 00000000..4b5638c3 --- /dev/null +++ b/v1.10.2/script_examples/gmsh/index.html @@ -0,0 +1,288 @@ + +gmsh · ExtendableGrids.jl

    Gmsh examples

    using ExtendableGrids
    +using Gmsh: gmsh

    Example t1 from the GMSH docs

    function gmsh_t1()
    +    gmsh.initialize()
    +    gmsh.option.setNumber("General.Terminal", 1)
    +    gmsh.model.add("t1")
    +
    +    lc = 1e-2
    +    gmsh.model.geo.addPoint(0, 0, 0, lc, 1)
    +    gmsh.model.geo.addPoint(0.1, 0, 0, lc, 2)
    +    gmsh.model.geo.addPoint(0.1, 0.3, 0, lc, 3)
    +
    +    p4 = gmsh.model.geo.addPoint(0, 0.3, 0, lc)
    +
    +    gmsh.model.geo.addLine(1, 2, 1)
    +    gmsh.model.geo.addLine(3, 2, 2)
    +    gmsh.model.geo.addLine(3, p4, 3)
    +    gmsh.model.geo.addLine(4, 1, p4)
    +
    +    gmsh.model.geo.addCurveLoop([4, 1, -2, 3], 1)
    +    gmsh.model.geo.addPlaneSurface([1], 1)
    +
    +    gmsh.model.geo.synchronize()
    +
    +    gmsh.model.addPhysicalGroup(0, [1, 2], 1)
    +    gmsh.model.addPhysicalGroup(1, [1, 2], 2)
    +    gmsh.model.addPhysicalGroup(2, [1], 6)
    +
    +    gmsh.model.setPhysicalName(2, 6, "My surface")
    +
    +    gmsh.model.mesh.generate(2)
    +    grid = ExtendableGrids.simplexgrid_from_gmsh(gmsh.model)
    +    gmsh.finalize()
    +    grid
    +end

    Example t4 from the GMSH docs

    function gmsh_t4()
    +    gmsh.initialize()
    +
    +    gmsh.model.add("t4")
    +
    +    cm = 1e-02
    +    e1 = 4.5 * cm; e2 = 6 * cm / 2; e3 =  5 * cm / 2
    +    h1 = 5 * cm; h2 = 10 * cm; h3 = 5 * cm; h4 = 2 * cm; h5 = 4.5 * cm
    +    R1 = 1 * cm; R2 = 1.5 * cm; r = 1 * cm
    +    Lc1 = 0.01
    +    Lc2 = 0.003
    +
    +    function hypot(a, b)
    +        return sqrt(a * a + b * b)
    +    end
    +
    +    ccos = (-h5*R1 + e2 * hypot(h5, hypot(e2, R1))) / (h5*h5 + e2*e2)
    +    ssin = sqrt(1 - ccos*ccos)
    +
    +    factory = gmsh.model.geo
    +    factory.addPoint(-e1-e2, 0    , 0, Lc1, 1)
    +    factory.addPoint(-e1-e2, h1   , 0, Lc1, 2)
    +    factory.addPoint(-e3-r , h1   , 0, Lc2, 3)
    +    factory.addPoint(-e3-r , h1+r , 0, Lc2, 4)
    +    factory.addPoint(-e3   , h1+r , 0, Lc2, 5)
    +    factory.addPoint(-e3   , h1+h2, 0, Lc1, 6)
    +    factory.addPoint( e3   , h1+h2, 0, Lc1, 7)
    +    factory.addPoint( e3   , h1+r , 0, Lc2, 8)
    +    factory.addPoint( e3+r , h1+r , 0, Lc2, 9)
    +    factory.addPoint( e3+r , h1   , 0, Lc2, 10)
    +    factory.addPoint( e1+e2, h1   , 0, Lc1, 11)
    +    factory.addPoint( e1+e2, 0    , 0, Lc1, 12)
    +    factory.addPoint( e2   , 0    , 0, Lc1, 13)
    +
    +    factory.addPoint( R1 / ssin, h5+R1*ccos, 0, Lc2, 14)
    +    factory.addPoint( 0        , h5        , 0, Lc2, 15)
    +    factory.addPoint(-R1 / ssin, h5+R1*ccos, 0, Lc2, 16)
    +    factory.addPoint(-e2       , 0.0       , 0, Lc1, 17)
    +
    +    factory.addPoint(-R2 , h1+h3   , 0, Lc2, 18)
    +    factory.addPoint(-R2 , h1+h3+h4, 0, Lc2, 19)
    +    factory.addPoint( 0  , h1+h3+h4, 0, Lc2, 20)
    +    factory.addPoint( R2 , h1+h3+h4, 0, Lc2, 21)
    +    factory.addPoint( R2 , h1+h3   , 0, Lc2, 22)
    +    factory.addPoint( 0  , h1+h3   , 0, Lc2, 23)
    +
    +    factory.addPoint( 0, h1+h3+h4+R2, 0, Lc2, 24)
    +    factory.addPoint( 0, h1+h3-R2,    0, Lc2, 25)
    +
    +    factory.addLine(1 , 17, 1)
    +    factory.addLine(17, 16, 2)
    +
    +    factory.addCircleArc(14,15,16, 3)
    +    factory.addLine(14,13, 4)
    +    factory.addLine(13,12, 5)
    +    factory.addLine(12,11, 6)
    +    factory.addLine(11,10, 7)
    +    factory.addCircleArc(8,9,10, 8)
    +    factory.addLine(8,7, 9)
    +    factory.addLine(7,6, 10)
    +    factory.addLine(6,5, 11)
    +    factory.addCircleArc(3,4,5, 12)
    +    factory.addLine(3,2, 13)
    +    factory.addLine(2,1, 14)
    +    factory.addLine(18,19, 15)
    +    factory.addCircleArc(21,20,24, 16)
    +    factory.addCircleArc(24,20,19, 17)
    +    factory.addCircleArc(18,23,25, 18)
    +    factory.addCircleArc(25,23,22, 19)
    +    factory.addLine(21,22, 20)
    +
    +    factory.addCurveLoop([17,-15,18,19,-20,16], 21)
    +    factory.addPlaneSurface([21], 22)
    +    factory.addCurveLoop([11,-12,13,14,1,2,-3,4,5,6,7,-8,9,10], 23)
    +
    +    factory.addPlaneSurface([23,21], 24)
    +
    +    factory.synchronize()
    +
    +    v = gmsh.view.add("comments")
    +
    +    gmsh.view.addListDataString(v, [10, -10], ["Created with Gmsh"])
    +
    +    gmsh.view.addListDataString(v, [0, 0.11, 0], ["Hole"],
    +                                ["Align", "Center", "Font", "Helvetica"])
    +
    +    gmsh.view.addListDataString(v, [0, 0.09, 0], ["file://../t4_image.png@0.01x0"],
    +                                ["Align", "Center"])
    +
    +    gmsh.view.addListDataString(v, [-0.01, 0.09, 0],
    +                                ["file://../t4_image.png@0.01x0,0,0,1,0,1,0"])
    +
    +    gmsh.view.addListDataString(v, [0, 0.12, 0],
    +                                ["file://../t4_image.png@0.01x0#"],
    +                                ["Align", "Center"])
    +
    +    gmsh.view.addListDataString(v, [150, -7], ["file://../t4_image.png@20x0"])
    +
    +    gmsh.view.option.setString(v, "DoubleClickedCommand",
    +                               "Printf('View[0] has been double-clicked!');")
    +    gmsh.option.setString(
    +        "Geometry.DoubleClickedLineCommand",
    +        "Printf('Curve %g has been double-clicked!', Geometry.DoubleClickedEntityTag);")
    +
    +    gmsh.model.setColor([(2, 22)], 127, 127, 127)
    +    gmsh.model.setColor([(2, 24)], 160, 32, 240)
    +    gmsh.model.setColor([(1, i) for i in 1:14], 255, 0, 0)
    +    gmsh.model.setColor([(1, i) for i in 15:20], 255, 255, 0)
    +
    +    gmsh.model.mesh.generate(2)
    +    grid = ExtendableGrids.simplexgrid_from_gmsh(gmsh.model)
    +    gmsh.finalize()
    +    grid
    +end

    Example t5 from the GMSH docs

    function gmsh_t5()
    +
    +    gmsh.initialize()
    +
    +    gmsh.model.add("t5")
    +
    +    lcar1 = .1
    +    lcar2 = .0005
    +    lcar3 = .055
    +
    +    gmsh.model.geo.addPoint(0.5,0.5,0.5, lcar2, 1)
    +    gmsh.model.geo.addPoint(0.5,0.5,0, lcar1, 2)
    +    gmsh.model.geo.addPoint(0,0.5,0.5, lcar1, 3)
    +    gmsh.model.geo.addPoint(0,0,0.5, lcar1, 4)
    +    gmsh.model.geo.addPoint(0.5,0,0.5, lcar1, 5)
    +    gmsh.model.geo.addPoint(0.5,0,0, lcar1, 6)
    +    gmsh.model.geo.addPoint(0,0.5,0, lcar1, 7)
    +    gmsh.model.geo.addPoint(0,1,0, lcar1, 8)
    +    gmsh.model.geo.addPoint(1,1,0, lcar1, 9)
    +    gmsh.model.geo.addPoint(0,0,1, lcar1, 10)
    +    gmsh.model.geo.addPoint(0,1,1, lcar1, 11)
    +    gmsh.model.geo.addPoint(1,1,1, lcar1, 12)
    +    gmsh.model.geo.addPoint(1,0,1, lcar1, 13)
    +    gmsh.model.geo.addPoint(1,0,0, lcar1, 14)
    +
    +    gmsh.model.geo.addLine(8,9, 1);   gmsh.model.geo.addLine(9,12, 2)
    +    gmsh.model.geo.addLine(12,11, 3); gmsh.model.geo.addLine(11,8, 4)
    +    gmsh.model.geo.addLine(9,14, 5);  gmsh.model.geo.addLine(14,13, 6)
    +    gmsh.model.geo.addLine(13,12, 7); gmsh.model.geo.addLine(11,10, 8)
    +    gmsh.model.geo.addLine(10,13, 9); gmsh.model.geo.addLine(10,4, 10)
    +    gmsh.model.geo.addLine(4,5, 11);  gmsh.model.geo.addLine(5,6, 12)
    +    gmsh.model.geo.addLine(6,2, 13);  gmsh.model.geo.addLine(2,1, 14)
    +    gmsh.model.geo.addLine(1,3, 15);  gmsh.model.geo.addLine(3,7, 16)
    +    gmsh.model.geo.addLine(7,2, 17);  gmsh.model.geo.addLine(3,4, 18)
    +    gmsh.model.geo.addLine(5,1, 19);  gmsh.model.geo.addLine(7,8, 20)
    +    gmsh.model.geo.addLine(6,14, 21);
    +
    +    gmsh.model.geo.addCurveLoop([-11,-19,-15,-18], 22)
    +    gmsh.model.geo.addPlaneSurface([22], 23)
    +    gmsh.model.geo.addCurveLoop([16,17,14,15], 24)
    +    gmsh.model.geo.addPlaneSurface([24], 25)
    +    gmsh.model.geo.addCurveLoop([-17,20,1,5,-21,13], 26)
    +    gmsh.model.geo.addPlaneSurface([26], 27)
    +    gmsh.model.geo.addCurveLoop([-4,-1,-2,-3], 28)
    +    gmsh.model.geo.addPlaneSurface([28], 29)
    +    gmsh.model.geo.addCurveLoop([-7,2,-5,-6], 30)
    +    gmsh.model.geo.addPlaneSurface([30], 31)
    +    gmsh.model.geo.addCurveLoop([6,-9,10,11,12,21], 32)
    +    gmsh.model.geo.addPlaneSurface([32], 33)
    +    gmsh.model.geo.addCurveLoop([7,3,8,9], 34)
    +    gmsh.model.geo.addPlaneSurface([34], 35)
    +    gmsh.model.geo.addCurveLoop([-10,18,-16,-20,4,-8], 36)
    +    gmsh.model.geo.addPlaneSurface([36], 37)
    +    gmsh.model.geo.addCurveLoop([-14,-13,-12,19], 38)
    +    gmsh.model.geo.addPlaneSurface([38], 39)
    +
    +    shells = []
    +
    +    sl = gmsh.model.geo.addSurfaceLoop([35,31,29,37,33,23,39,25,27])
    +    push!(shells, sl)
    +
    +    function cheeseHole(x, y, z, r, lc, shells)
    +        p1 = gmsh.model.geo.addPoint(x,  y,  z,   lc)
    +        p2 = gmsh.model.geo.addPoint(x+r,y,  z,   lc)
    +        p3 = gmsh.model.geo.addPoint(x,  y+r,z,   lc)
    +        p4 = gmsh.model.geo.addPoint(x,  y,  z+r, lc)
    +        p5 = gmsh.model.geo.addPoint(x-r,y,  z,   lc)
    +        p6 = gmsh.model.geo.addPoint(x,  y-r,z,   lc)
    +        p7 = gmsh.model.geo.addPoint(x,  y,  z-r, lc)
    +
    +        c1 = gmsh.model.geo.addCircleArc(p2,p1,p7)
    +        c2 = gmsh.model.geo.addCircleArc(p7,p1,p5)
    +        c3 = gmsh.model.geo.addCircleArc(p5,p1,p4)
    +        c4 = gmsh.model.geo.addCircleArc(p4,p1,p2)
    +        c5 = gmsh.model.geo.addCircleArc(p2,p1,p3)
    +        c6 = gmsh.model.geo.addCircleArc(p3,p1,p5)
    +        c7 = gmsh.model.geo.addCircleArc(p5,p1,p6)
    +        c8 = gmsh.model.geo.addCircleArc(p6,p1,p2)
    +        c9 = gmsh.model.geo.addCircleArc(p7,p1,p3)
    +        c10 = gmsh.model.geo.addCircleArc(p3,p1,p4)
    +        c11 = gmsh.model.geo.addCircleArc(p4,p1,p6)
    +        c12 = gmsh.model.geo.addCircleArc(p6,p1,p7)
    +
    +        l1 = gmsh.model.geo.addCurveLoop([c5,c10,c4])
    +        l2 = gmsh.model.geo.addCurveLoop([c9,-c5,c1])
    +        l3 = gmsh.model.geo.addCurveLoop([c12,-c8,-c1])
    +        l4 = gmsh.model.geo.addCurveLoop([c8,-c4,c11])
    +        l5 = gmsh.model.geo.addCurveLoop([-c10,c6,c3])
    +        l6 = gmsh.model.geo.addCurveLoop([-c11,-c3,c7])
    +        l7 = gmsh.model.geo.addCurveLoop([-c2,-c7,-c12])
    +        l8 = gmsh.model.geo.addCurveLoop([-c6,-c9,c2])
    +
    +        s1 = gmsh.model.geo.addSurfaceFilling([l1])
    +        s2 = gmsh.model.geo.addSurfaceFilling([l2])
    +        s3 = gmsh.model.geo.addSurfaceFilling([l3])
    +        s4 = gmsh.model.geo.addSurfaceFilling([l4])
    +        s5 = gmsh.model.geo.addSurfaceFilling([l5])
    +        s6 = gmsh.model.geo.addSurfaceFilling([l6])
    +        s7 = gmsh.model.geo.addSurfaceFilling([l7])
    +        s8 = gmsh.model.geo.addSurfaceFilling([l8])
    +
    +        sl = gmsh.model.geo.addSurfaceLoop([s1, s2, s3, s4, s5, s6, s7, s8])
    +        v = gmsh.model.geo.addVolume([sl])
    +        push!(shells, sl)
    +        return v
    +    end
    +
    +    x = 0
    +    y = 0.75; z = 0; r = 0.09
    +    for t in 1:5
    +        x += 0.166
    +        z += 0.166
    +        v = cheeseHole(x, y, z, r, lcar3, shells)
    +        gmsh.model.geo.addPhysicalGroup(3, [v], t)
    +    end
    +
    +    gmsh.model.geo.addVolume(shells, 186);
    +
    +    gmsh.model.geo.synchronize()
    +
    +    gmsh.model.addPhysicalGroup(3, [186], 10);
    +
    +    gmsh.model.mesh.generate(3)
    +    grid = ExtendableGrids.simplexgrid_from_gmsh(gmsh.model)
    +    gmsh.finalize()
    +    grid
    +end

    CI callbacks for ExampleJuggler.jl

    Unit tests

    using Test
    +function runtests()
    +    ok(grid)= num_nodes(grid) > 0 && num_cells(grid) > 0 && num_bfaces(grid) > 0
    +    @test ok(gmsh_t1())
    +    @test ok(gmsh_t4())
    +    @test ok(gmsh_t5())
    +end

    Plot generation

    using GridVisualize
    +function generateplots(picdir; Plotter = nothing)
    +    if isdefined(Plotter, :Makie)
    +        size = (500, 500)
    +        Plotter.save(joinpath(picdir, "gmsh_t1.png"), gridplot(gmsh_t1(); Plotter, size))
    +        Plotter.save(joinpath(picdir, "gmsh_t4.png"), gridplot(gmsh_t4(); Plotter, size))
    +        Plotter.save(joinpath(picdir, "gmsh_t5.png"), gridplot(gmsh_t5(); Plotter, size))
    +    end
    +end

    This page was generated using Literate.jl.

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Points closer than tol (in Euclidean distance) will be identified, i.e. are collapsed to the first inserted.\n\nbinning_region_min::Vector: \" The union of all bins is the binning region - a cuboid given by two of its corners. It is calculated dynamically depending on the inserted points.\n\nbinning_region_max::Vector\nbinning_region_increase_factor::Any: Increase factor of binning region (with respect to the cuboid defined by the coordinates of the binned points)\n\npoints::ElasticArrays.ElasticArray{T, 2, M, V} where {T, M, V<:DenseVector{T}}: The actual point list\n\nbins::Array{Vector{Int32}}: The bins are vectors of indices of points in the point list We store them in a dim-dimensional array of length \"numberofdirectional_bins^dim\"\n\nnumber_of_directional_bins::Int32: Number of bins in each space dimension\n\nunbinned::Vector{Int32}: Some points will fall outside of the binning region. 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    begin\n    import Pkg as _Pkg\n    haskey(ENV, \"PLUTO_PROJECT\") && _Pkg.activate(ENV[\"PLUTO_PROJECT\"])\n    using Revise, Test\n    import PlutoUI\n    import Metis\n    using ExtendableGrids: simplexgrid, partition, num_partitions, num_pcolors\n    using ExtendableGrids: partition_cells, pcolor_partitions, pcolors\n    using ExtendableGrids: PlainMetisPartitioning, RecursiveMetisPartitioning\n    using ExtendableGrids: PColorPartitions, PartitionNodes, PartitionCells\n    using ExtendableGrids: CellVolumes\n    using GridVisualize: gridplot, default_plotter!\n    import CairoMakie\n    isdefined(Main, :PlutoRunner) && default_plotter!(CairoMakie)\nend;
    \n\n\n\n\n\n","category":"page"},{"location":"plutostatichtml_examples/pluto-partitioning/#Partitioning-example","page":"Partitioning","title":"Partitioning example","text":"","category":"section"},{"location":"plutostatichtml_examples/pluto-partitioning/","page":"Partitioning","title":"Partitioning","text":"
    \n
    \n\n\n

    Provide a glance on grid partitioning. This will be made more comprehensive over time.

    \n\n
    X = 0:0.25:10
    \n
    0.0:0.25:10.0
    \n\n
    grid = simplexgrid(X, X)
    \n
    ExtendableGrids.ExtendableGrid{Float64, Int32};\ndim: 2 nodes: 1681 cells: 3200 bfaces: 160\n
    \n\n
    gridplot(grid; linewidth = 0.1)
    \n\n\n\n

    By default, the grid is partitioned in a trivial way.

    \n\n\n

    The partition function returns a differently partitioned grid.

    \n\n\n
         partition(grid::ExtendableGrid,\n               alg::AbstractPartitioningAlgorithm;\n               nodes = false,\n               keep_nodepermutation = false,\n               edges = false )

    Partition cells of grid according to alg, such that the neigborhood graph of partitions is colored in such a way, that all partitions with a given color can be worked on in parallel. Cells are renumbered such that cell numbers for a given partition are numbered contiguously.

    Return the resulting grid.

    Useful for parallel FEM assembly and cellwise FVM assembly.

    Keyword arguments:

    Access:

    A parallel loop over grid cells thus looks like

    for color in pcolors(grid)\n    @threads for part in pcolor_partitions(grid, color)\n                for cell in partition_cells(grid, part)\n                 ...\n                end\n             end\nend

    Without a call to partition, all these functions return trivial data such that the above sample code stays valid.

    Note

    partition must be called before obtaining any other adjacencies of a grid.

    Currently, partitioning does not cover the boundary, boundary cells belong to one big trivial partition.

    \n\n\n

    partition has different backends which can be triggered by alg.

    \n\n\n

    PlainMetisPartitioning

    \n\n\n

    Partition grid using PlainMetisPartitioning

    \n\n\n
    struct PlainMetisPartitioning <: ExtendableGrids.AbstractPartitioningAlgorithm

    Subdivide grid into npart partitions using Metis.partition and color the resulting partition neigborhood graph. This requires to import Metis.jl in order to trigger the corresponding extension.

    This algorithm allows to control the overall number of partitions. The number of partitions per color comes from the subsequent partition graph coloring and in the moment cannot be controlled.

    Parameters:

    \n\n
    pgrid1 = partition(grid, PlainMetisPartitioning(; npart = 10))
    \n
    ExtendableGrids.ExtendableGrid{Float64, Int32};\ndim: 2 nodes: 1681 cells: 3200 bfaces: 160, edges: 4880\npartitions/color: [3, 2, 3, 2]\n
    \n\n\n

    This results in the following partitioning of the grid cells:

    \n\n
    gridplot(pgrid1; cellcoloring = :partitions, linewidth = 0.1)
    \n\n\n\n

    The neigborhood graph of the partitions gets colored in such a way that adjacent partitions have different colors. As a result, e.g. FEM assembly threads can run in parallel on partitions with the same color. If we color cells by their partition color, we get the following plot:

    \n\n
    gridplot(pgrid1; cellcoloring = :pcolors, linewidth = 0.1)
    \n\n\n\n

    Partition data are stored in a number of fields:

    \n\n\n

    Accessing partitioning data

    \n\n\n

    PColorPartitions

    \n\n\n
    abstract type PColorPartitions <: ExtendableGrids.AbstractGridIntegerArray1D

    Key type describing colors of partitions. These correspond to a coloring of the neigborhood graphs of partitions such that operations (e.g. FEM assembly) on partitions of a given color can be performed in parallel.

    grid[PColorPartitions] returns an integer vector describing the partition colors (\"pcolors\") of a grid. Let p=grid[PColorPartitions]. Then all partitions with numbers i ∈ p[c]:p[c+1]-1 have \"color\" c. See also pcolors.

    \n\n
    pgrid1[PColorPartitions]
    \n
    5-element Vector{Int32}:\n  1\n  4\n  6\n  9\n 11
    \n\n\n

    This means that partitions 1:3 have color 1, partitions 4:5 have color 2 etc.

    \n\n\n

    See also:

    \n\n\n
    pcolor_partitions(grid, color)\n

    Return range of partitions for given pcolor based on grid[PColorPartitions].

    \n\n\n

    PartitionCells

    \n\n\n
    abstract type PartitionCells <: ExtendableGrids.AbstractGridIntegerArray1D

    Key type describing the cells of a given partition.

    grid[PartitionCells] returns an integer vector describing the cells of a partition given by its number. Let pc=grid[PartitionCells]. Then all cells with index i ∈ pc[p]:pc[p+1]-1 belong to partition p.

    \n\n
    pgrid1[PartitionCells]
    \n
    11-element Vector{Int32}:\n    1\n  320\n  642\n  962\n 1286\n 1604\n 1929\n 2248\n 2562\n 2879\n 3201
    \n\n\n

    This means that cells 1:319 belong to partition 1, cells 320:641 belong to partition 2 etc. See also:

    \n\n\n
    partition_cells(grid, part)\n

    Return range of cells belonging to a given partition grid[PartitionCells].

    \n\n\n

    PartitionNodes

    \n\n\n
    abstract type PartitionNodes <: ExtendableGrids.AbstractGridIntegerArray1D

    Key type describing the nodes of a given partition.

    grid[PartitionNodes] returns an integer vector describing the nodes of a partition given by its number. Let pn=grid[PartitionNodes]. Then all nodes with index i ∈ pn[p]:pn[p+1]-1 belong to partition p.

    \n\n\n
    2-element Vector{Int32}:\n    1\n 1682
    \n\n\n

    Here, we see, that there is just one trivial node partition. If there is a need for a partition of the nodes, the node kwarg in partition needs to be set to true:

    \n\n
    pgrid2 = partition(grid, PlainMetisPartitioning(; npart = 10); nodes = true)
    \n
    ExtendableGrids.ExtendableGrid{Float64, Int32};\ndim: 2 nodes: 1681 cells: 3200 bfaces: 160, edges: 4880\npartitions/color: [3, 2, 3, 2]\n
    \n\n
    pgrid2[PartitionNodes]
    \n
    11-element Vector{Int32}:\n    1\n  134\n  299\n  440\n  606\n  769\n  951\n 1123\n 1309\n 1494\n 1682
    \n\n\n

    After partitioning, the PartitionNodes entry has the information on node partition numbers.

    \n\n\n

    Assembly loops

    \n\n\n

    Assembly loops can be run in parallel on for partitions of the same color.

    \n\n
    begin\n    cvol = pgrid1[CellVolumes]\n    pvol = zeros(num_partitions(pgrid1))\n    for color in pcolors(pgrid1)\n        Threads.@threads for part in pcolor_partitions(pgrid1, color)\n            for cell in partition_cells(pgrid1, part)\n                pvol[part] += cvol[cell]\n            end\n        end\n        @info \"Area of partitions of color $color: $(sum(pvol[pcolor_partitions(pgrid1, color)]))\"\n    end\nend
    \n\n\n
    @test sum(pvol)-sum(cvol) ≈ 0.0
    \n
    Test Passed
    \n\n\n

    RecursiveMetisPartitioning

    \n\n\n

    This is another partitioning algrorithm which recursively creates colored partitions.

    \n\n\n
    struct RecursiveMetisPartitioning <: ExtendableGrids.AbstractPartitioningAlgorithm

    Subdivide grid into npart partitions using Metis.partition and calculate cell separators from this partitioning. The initial partitions get color 1, and the separator gets color 2. This is continued recursively with partitioning of the separator into npart partitions and calculating the spearator of the separator, giving it color 3.

    This algorithm allows to control the number of partitions in color 1 which correspond to the bulk of the work. The overall number of partitions will be in the range of 3*npart.

    If the grid is too coarse for that many partitions, several of them may be just empty.

    Parameters:

    \n\n
    pgrid3 = partition(grid, RecursiveMetisPartitioning(; npart = 5))
    \n
    ExtendableGrids.ExtendableGrid{Float64, Int32};\ndim: 2 nodes: 1681 cells: 3200 bfaces: 160, edges: 4880\npartitions/color: [5, 5, 4]\n
    \n\n\n\n\n\n\n
    \n

    Built with Julia 1.11.1 and

    \nCairoMakie 0.12.14
    \nExtendableGrids 1.10.1
    \nGridVisualize 1.8.0
    \nMetis 1.5.0
    \nPkg 1.11.0
    \nPlutoUI 0.7.60
    \nRevise 3.6.2
    \nTest 1.11.0\n
    \n\n","category":"page"},{"location":"plutostatichtml_examples/pluto-partitioning/","page":"Partitioning","title":"Partitioning","text":"EditURL = \"https://github.com/j-fu/ExtendableGrids.jl/blob/main/nothing\"","category":"page"},{"location":"script_examples/examples1d/#1D-Grid-examples","page":"examples1d","title":"1D Grid examples","text":"","category":"section"},{"location":"script_examples/examples1d/","page":"examples1d","title":"examples1d","text":"using ExtendableGrids","category":"page"},{"location":"script_examples/examples1d/#Interval-from-vector","page":"examples1d","title":"Interval from vector","text":"","category":"section"},{"location":"script_examples/examples1d/","page":"examples1d","title":"examples1d","text":"function interval_from_vector()\n X = collect(0:0.05:1)\n grid = simplexgrid(X)\nend","category":"page"},{"location":"script_examples/examples1d/","page":"examples1d","title":"examples1d","text":"(Image: )","category":"page"},{"location":"script_examples/examples1d/#Interval-with-local-refinement","page":"examples1d","title":"Interval with local refinement","text":"","category":"section"},{"location":"script_examples/examples1d/","page":"examples1d","title":"examples1d","text":"function interval_localref()\n XLeft = geomspace(0.0, 0.5, 0.1, 0.01)\n XRight = geomspace(0.5, 1.0, 0.01, 0.1)\n X = glue(XLeft, XRight)\n grid = simplexgrid(X)\nend","category":"page"},{"location":"script_examples/examples1d/","page":"examples1d","title":"examples1d","text":"(Image: )","category":"page"},{"location":"script_examples/examples1d/#Interval-with-multiple-regions","page":"examples1d","title":"Interval with multiple regions","text":"","category":"section"},{"location":"script_examples/examples1d/","page":"examples1d","title":"examples1d","text":"function interval_multiregion()\n X = collect(0:0.05:1)\n grid = simplexgrid(X)\n cellmask!(grid, [0.0], [0.5], 3)\n bfacemask!(grid, [0.5], [0.5], 4)\n grid\nend","category":"page"},{"location":"script_examples/examples1d/","page":"examples1d","title":"examples1d","text":"(Image: )","category":"page"},{"location":"script_examples/examples1d/#Multiple-regions-and-subgrid","page":"examples1d","title":"Multiple regions and subgrid","text":"","category":"section"},{"location":"script_examples/examples1d/","page":"examples1d","title":"examples1d","text":"function interval_subgrid()\n X = collect(0:0.01:1)\n grid = simplexgrid(X)\n bfacemask!(grid, [0.5], [0.5], 3)\n cellmask!(grid, [0.0], [0.25], 2)\n cellmask!(grid, [0.20], [0.5], 3)\n subgrid(grid, [2, 3])\nend","category":"page"},{"location":"script_examples/examples1d/","page":"examples1d","title":"examples1d","text":"(Image: )","category":"page"},{"location":"script_examples/examples1d/#CI-callbacks-for-[ExampleJuggler.jl](https://github.com/j-fu/ExampleJuggler.jl)","page":"examples1d","title":"CI callbacks for ExampleJuggler.jl","text":"","category":"section"},{"location":"script_examples/examples1d/","page":"examples1d","title":"examples1d","text":"Unit tests","category":"page"},{"location":"script_examples/examples1d/","page":"examples1d","title":"examples1d","text":"using Test\n\nfunction runtests()\n @test numbers_match(interval_from_vector(), 21, 20, 2)\n @test numbers_match(interval_localref(), 27, 26, 2)\n @test numbers_match(interval_multiregion(), 21, 20, 3)\n @test numbers_match(interval_subgrid(), 51, 50, 2)\nend","category":"page"},{"location":"script_examples/examples1d/","page":"examples1d","title":"examples1d","text":"Plot generation","category":"page"},{"location":"script_examples/examples1d/","page":"examples1d","title":"examples1d","text":"using GridVisualize\nfunction generateplots(picdir; Plotter = nothing)\n if isdefined(Plotter, :Makie)\n size = (500, 200)\n legend = :rt\n Plotter.save(joinpath(picdir, \"interval_from_vector.png\"), gridplot(interval_from_vector(); Plotter, size, legend))\n Plotter.save(joinpath(picdir, \"interval_localref.png\"), gridplot(interval_localref(); Plotter, size, legend))\n Plotter.save(joinpath(picdir, \"interval_multiregion.png\"), gridplot(interval_multiregion(); Plotter, size, legend))\n Plotter.save(joinpath(picdir, \"interval_subgrid.png\"), gridplot(interval_subgrid(); Plotter, size, legend))\n end\nend","category":"page"},{"location":"script_examples/examples1d/","page":"examples1d","title":"examples1d","text":"","category":"page"},{"location":"script_examples/examples1d/","page":"examples1d","title":"examples1d","text":"This page was generated using Literate.jl.","category":"page"},{"location":"refinement/#Mesh-refinement","page":"Mesh refinement","title":"Mesh refinement","text":"","category":"section"},{"location":"refinement/#API","page":"Mesh refinement","title":"API","text":"","category":"section"},{"location":"refinement/","page":"Mesh refinement","title":"Mesh refinement","text":"Modules = [ExtendableGrids]\nPages = [\"meshrefinements.jl\",\"adaptive_meshrefinements.jl\"]","category":"page"},{"location":"refinement/#ExtendableGrids.RGB_refine-Union{Tuple{K}, Tuple{T}, Tuple{ExtendableGrid{T, K}, Vector{Bool}}} where {T, K}","page":"Mesh refinement","title":"ExtendableGrids.RGB_refine","text":"RGB_refine(\n source_grid::ExtendableGrid{T, K},\n facemarkers::Vector{Bool};\n store_parents\n) -> ExtendableGrid\n\n\ngenerates a new ExtendableGrid by red-green-blue mesh refinement of triangular meshes, see e.g.\n\nCarstensen, C. –An Adaptive Mesh-Refining Algorithm Allowing for an H^1 Stable L^2 Projection onto Courant Finite Element Spaces– Constr Approx 20, 549–564 (2004). https://doi.org/10.1007/s00365-003-0550-5\n\nThe bool array facemarkers determines which faces should be bisected. Note, that a closuring is performed such that the first face in every triangle with a marked face is also refined.\n\n\n\n\n\n","category":"method"},{"location":"refinement/#ExtendableGrids.barycentric_refine-Union{Tuple{ExtendableGrid{T, K}}, Tuple{K}, Tuple{T}} where {T, K}","page":"Mesh refinement","title":"ExtendableGrids.barycentric_refine","text":"barycentric_refine(\n source_grid::ExtendableGrid{T, K};\n store_parents\n) -> ExtendableGrid\n\n\ngenerates a new ExtendableGrid by barycentric refinement of each cell in the source grid\n\nbarycentric refinement is available for these ElementGeometries\n\nQuadrilateral2D (first split into Triangle2D)\nTriangle2D\n\n\n\n\n\n","category":"method"},{"location":"refinement/#ExtendableGrids.split_grid_into-Union{Tuple{K}, Tuple{T}, Tuple{ExtendableGrid{T, K}, Type{<:AbstractElementGeometry}}} where {T, K}","page":"Mesh refinement","title":"ExtendableGrids.split_grid_into","text":"split_grid_into(\n source_grid::ExtendableGrid{T, K},\n targetgeometry::Type{<:AbstractElementGeometry};\n store_parents\n) -> ExtendableGrid\n\n\ngenerates a new ExtendableGrid by splitting each cell into subcells of the specified targetgeometry\n\nsplit rules exist for\n\nQuadrilateral2D into Triangle2D\nHexahedron3D into Tetrahedron3D\n\n\n\n\n\n","category":"method"},{"location":"refinement/#ExtendableGrids.uniform_refine-Union{Tuple{ExtendableGrid{T, K}}, Tuple{K}, Tuple{T}} where {T, K}","page":"Mesh refinement","title":"ExtendableGrids.uniform_refine","text":"uniform_refine(\n source_grid::ExtendableGrid{T, K};\n store_parents\n) -> ExtendableGrid\n\n\ngenerates a new ExtendableGrid by uniform refinement of each cell in the given grid\n\nuniform refinement rules are available for these AbstractElementGeometries:\n\nLine1D (bisection into two subsegments)\nTriangle2D (red refinement into four subtriangles)\nQuadrilateral2D (into four subquadrilaterals)\nTetrahedron (into eight subtetrahedrons)\nHexahedron (into eight subhexahedrons)\n\nif multiple geometries are in the mesh uniform refinement will only work if all refinement rules refine faces and edges (in 3D) equally (so no hanging nodes are created)\n\n\n\n\n\n","category":"method"},{"location":"script_examples/examples3d/#3D-Grid-examples","page":"examples3d","title":"3D Grid examples","text":"","category":"section"},{"location":"script_examples/examples3d/","page":"examples3d","title":"examples3d","text":"using ExtendableGrids","category":"page"},{"location":"script_examples/examples3d/#Quadrilateral","page":"examples3d","title":"Quadrilateral","text":"","category":"section"},{"location":"script_examples/examples3d/","page":"examples3d","title":"examples3d","text":"function quadrilateral(; hx = 0.25, hy = 0.2, hz = 0.1)\n X = collect(0:hx:1)\n Y = collect(0:hy:1)\n Z = collect(0:hz:1)\n simplexgrid(X, Y, Z)\nend","category":"page"},{"location":"script_examples/examples3d/","page":"examples3d","title":"examples3d","text":"(Image: )","category":"page"},{"location":"script_examples/examples3d/#Cross3d","page":"examples3d","title":"Cross3d","text":"","category":"section"},{"location":"script_examples/examples3d/","page":"examples3d","title":"examples3d","text":"function cross3d()\n X = collect(0:0.1:1)\n Y = collect(0:0.1:1)\n Z = collect(0:0.1:1)\n grid = simplexgrid(X, Y, Z)\n\n rect!(grid, (0, 0.4, 0), (1, 0.6, 0.2); region = 2, bregions = [1, 1, 1, 1, 2, 3])\n\n rect!(grid, (0.4, 0, 0.2), (0.6, 1, 0.4); region = 2, bregions = [4, 4, 4, 4, (cur) -> cur == 3 ? 0 : 5, 6])\n\n subgrid(grid, [2])\nend","category":"page"},{"location":"script_examples/examples3d/","page":"examples3d","title":"examples3d","text":"(Image: )","category":"page"},{"location":"script_examples/examples3d/#CI-callbacks-for-[ExampleJuggler.jl](https://github.com/j-fu/ExampleJuggler.jl)","page":"examples3d","title":"CI callbacks for ExampleJuggler.jl","text":"","category":"section"},{"location":"script_examples/examples3d/","page":"examples3d","title":"examples3d","text":"Unit tests","category":"page"},{"location":"script_examples/examples3d/","page":"examples3d","title":"examples3d","text":"function mask_bedges()\n grid = quadrilateral(; hx = 0.25, hy = 0.25, hz = 0.25)\n\n bedgemask!(grid, [0.0, 0.0, 0.0], [0.0, 0.0, 1.0], 1)\n bedgemask!(grid, [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], 2)\n bedgemask!(grid, [0.0, 1.0, 0.0], [0.0, 1.0, 1.0], 3)\n bedgemask!(grid, [0.0, 0.0, 1.0], [0.0, 1.0, 1.0], 4)\n bedgemask!(grid, [0.0, 1.0, 0.0], [0.0, 0.0, 1.0], 5)\n\n true\nend\n\nusing Test\n\nfunction runtests()\n @test numbers_match(quadrilateral(), 330, 1200, 440)\n @test mask_bedges()\n @test numbers_match(cross3d(), 189, 480, 344)\nend","category":"page"},{"location":"script_examples/examples3d/","page":"examples3d","title":"examples3d","text":"Plot generation","category":"page"},{"location":"script_examples/examples3d/","page":"examples3d","title":"examples3d","text":"using GridVisualize\nfunction generateplots(picdir; Plotter = nothing)\n if isdefined(Plotter, :Makie)\n size = (400, 400)\n Plotter.save(joinpath(picdir, \"quadrilateral.png\"), gridplot(quadrilateral(); Plotter, size))\n Plotter.save(joinpath(picdir, \"cross3d.png\"), gridplot(cross3d(); Plotter, size))\n end\nend","category":"page"},{"location":"script_examples/examples3d/","page":"examples3d","title":"examples3d","text":"","category":"page"},{"location":"script_examples/examples3d/","page":"examples3d","title":"examples3d","text":"This page was generated using Literate.jl.","category":"page"},{"location":"assembly/#Assembly-support","page":"Assembly support","title":"Assembly support","text":"","category":"section"},{"location":"assembly/#API","page":"Assembly support","title":"API","text":"","category":"section"},{"location":"assembly/","page":"Assembly support","title":"Assembly support","text":"Modules = [ExtendableGrids]\nPages = [\"assemblytypes.jl\",\"l2gtransformations.jl\"]","category":"page"},{"location":"assembly/#ExtendableGrids.AT_NODES","page":"Assembly support","title":"ExtendableGrids.AT_NODES","text":"abstract type AT_NODES <: AssemblyType\n\ncauses interpolation at vertices of the grid (only for H1-conforming interpolations)\n\n\n\n\n\n","category":"type"},{"location":"assembly/#ExtendableGrids.ON_BEDGES","page":"Assembly support","title":"ExtendableGrids.ON_BEDGES","text":"abstract type ON_BEDGES <: AssemblyType\n\ncauses assembly/interpolation on boundary edges of the grid (only in 3D)\n\n\n\n\n\n","category":"type"},{"location":"assembly/#ExtendableGrids.ON_BFACES","page":"Assembly support","title":"ExtendableGrids.ON_BFACES","text":"abstract type ON_BFACES <: AssemblyType\n\ncauses assembly/interpolation on boundary faces of the grid\n\n\n\n\n\n","category":"type"},{"location":"assembly/#ExtendableGrids.ON_CELLS","page":"Assembly support","title":"ExtendableGrids.ON_CELLS","text":"abstract type ON_CELLS <: AssemblyType\n\ncauses assembly/interpolation on cells of the grid\n\n\n\n\n\n","category":"type"},{"location":"assembly/#ExtendableGrids.ON_EDGES","page":"Assembly support","title":"ExtendableGrids.ON_EDGES","text":"abstract type ON_EDGES <: AssemblyType\n\ncauses assembly/interpolation on edges of the grid (only in 3D)\n\n\n\n\n\n","category":"type"},{"location":"assembly/#ExtendableGrids.ON_FACES","page":"Assembly support","title":"ExtendableGrids.ON_FACES","text":"abstract type ON_FACES <: AssemblyType\n\ncauses assembly/interpolation on faces of the grid\n\n\n\n\n\n","category":"type"},{"location":"assembly/#ExtendableGrids.ON_IFACES","page":"Assembly support","title":"ExtendableGrids.ON_IFACES","text":"abstract type ON_IFACES <: ON_FACES\n\ncauses assembly/interpolation on interior faces of the grid\n\n\n\n\n\n","category":"type"},{"location":"assembly/#ExtendableGrids.L2GTransformer","page":"Assembly support","title":"ExtendableGrids.L2GTransformer","text":"L2GTransformer\n\nTransforms reference coordinates to global coordinates\n\n\n\n\n\n","category":"type"},{"location":"output/#Grid-output","page":"Grid output","title":"Grid output","text":"","category":"section"},{"location":"output/","page":"Grid output","title":"Grid output","text":"Base.write\nwriteVTK","category":"page"},{"location":"output/#Base.write","page":"Grid output","title":"Base.write","text":"write(fname::String, g::ExtendableGrid; format, kwargs...)\n\n\nWrite grid to file. Supported formats:\n\n\"*.sg\": pdelib sg format. See simplexgrid(::String;kwargs...)\n\n\n\n\n\n","category":"function"},{"location":"output/#ExtendableGrids.writeVTK","page":"Grid output","title":"ExtendableGrids.writeVTK","text":"writeVTK(\n filename::String,\n grid::ExtendableGrid{Tc, Ti};\n append,\n compress,\n kwargs...\n) -> Vector{String}\n\n\nexports grid and optional provided data as a vtk file\n\nfilename: filename of the exported file\ngrid: grid\n\nEach '(key, value)' pair adds another data entry to the vtk file via WriteVTK functionality.\n\nFor the arguments 'append' and 'compress', see documentation of vtk_grid of WriteVTK.\n\n\n\n\n\n","category":"function"},{"location":"voronoi/#Voronoi-tools","page":"Voronoi tools","title":"Voronoi tools","text":"","category":"section"},{"location":"voronoi/#API","page":"Voronoi tools","title":"API","text":"","category":"section"},{"location":"voronoi/","page":"Voronoi tools","title":"Voronoi tools","text":"Modules = [ExtendableGrids]\nPages = [\"voronoi.jl\"]","category":"page"},{"location":"voronoi/#ExtendableGrids.VoronoiFaceCenters","page":"Voronoi tools","title":"ExtendableGrids.VoronoiFaceCenters","text":"abstract type VoronoiFaceCenters <: AbstractGridFloatArray2D\n\nCenters of voronoi cell facets (currently 1D, 2D).\n\n\n\n\n\n","category":"type"},{"location":"voronoi/#ExtendableGrids.tricircumcenter!-NTuple{4, Any}","page":"Voronoi tools","title":"ExtendableGrids.tricircumcenter!","text":"tricircumcenter!(circumcenter, a, b, c)\n\n\nFind the circumcenter of a triangle. \n\nDerived from C source of Jonathan R Shewchuk \n\nModified to return absolute coordinates.\n\n\n\n\n\n","category":"method"},{"location":"allindex/#Index","page":"Index","title":"Index","text":"","category":"section"},{"location":"allindex/#Types-and-Constructors","page":"Index","title":"Types and Constructors","text":"","category":"section"},{"location":"allindex/","page":"Index","title":"Index","text":"Modules = [ExtendableGrids]\nOrder=[:type]","category":"page"},{"location":"allindex/#Constants","page":"Index","title":"Constants","text":"","category":"section"},{"location":"allindex/","page":"Index","title":"Index","text":"Modules = [ExtendableGrids]\nOrder=[:constant]","category":"page"},{"location":"allindex/#Methods","page":"Index","title":"Methods","text":"","category":"section"},{"location":"allindex/","page":"Index","title":"Index","text":"Modules = [ExtendableGrids]\nOrder=[:function]","category":"page"},{"location":"gridconstructors/#Grid-constructors","page":"Grid constructors","title":"Grid constructors","text":"","category":"section"},{"location":"gridconstructors/#Tensor-product-simplex-grids","page":"Grid constructors","title":"Tensor product simplex grids","text":"","category":"section"},{"location":"gridconstructors/","page":"Grid constructors","title":"Grid constructors","text":"simplexgrid\nglue","category":"page"},{"location":"gridconstructors/#ExtendableGrids.simplexgrid","page":"Grid constructors","title":"ExtendableGrids.simplexgrid","text":"function simplexgrid(coord::Array{Tc,2},\n cellnodes::Array{Ti,2},\n cellregions=ones(Ti, size(coord,2)),\n bfacenodes=zeros(Ti,size(coord,1),0),\n bfaceregions=zeros(Ti,length(bfacenodes))\n ) where {Tc,Ti}\n\nCreate d-dimensional simplex grid from five arrays.\n\n coord: d ``\\times`` n_points matrix of coordinates\ncellnodes: d+1 times n_tri matrix of triangle - point incidence\ncellregions: (optional) n_tri vector of cell region markers \nbfacenodes: (optional) d times n_bf matrix of boundary facet - point incidences\nbfaceregions: (optional) n_bf vector of boundary facet region markers\n\nCoordinate type Tc index type Ti are detected from the first two parameters. cellregions, bfaceregions, bfacenodes are converted to have the same element type as cellnodes.\n\n\n\n\n\nfunction simplexgrid(coord::Array{Tc,2},\n cellnodes::Array{Ti,2},\n cellregions,\n bfacenodes,\n bfaceregions,\n bedgenodes,\n bedgeregions\n ) where {Tc,Ti}\n\nCreate simplex grid from coordinates, cell-nodes-adjancency, cell-region-numbers, boundary-face-nodes adjacency, boundary-face-region-numbers, boundary-edge-nodes, and boundary-edge-region-numbers arrays.\n\nThe index type Ti is detected from cellnodes, all other arrays besides coord are converted to this index type.\n\n\n\n\n\nsimplexgrid(X; bregions=[1,2],cellregion=1)\n\nConstructor for 1D grid.\n\nConstruct 1D grid from an array of node cordinates. It creates two boundary regions with index 1 at the left end and index 2 at the right end by default.\n\nThe keyword arguments allow to overwrite the default region numbers.\n\nPrimal grid holding unknowns: marked by o, dual grid marking control volumes: marked by |.\n\n o-----o-----o-----o-----o-----o-----o-----o-----o\n |--|-----|-----|-----|-----|-----|-----|-----|--|\n\n\n\n\n\nsimplexgrid(X,Y; bregions=[1,2,3,4],cellregion=1)\n\nConstructor for 2D grid from coordinate arrays. \n\nBoundary region numbers count counterclockwise:\n\nlocation number\nsouth 1\neast 2\nnorth 3\nwest 4\n\nThe keyword arguments allow to overwrite the default region numbers.\n\n\n\n\n\nsimplexgrid(X,Y,Z; bregions=[1,2,3,4,5,6],cellregion=1)\n\nConstructor for 3D grid from coordinate arrays. Boundary region numbers:\n\nlocation number\nsouth 1\neast 2\nnorth 3\nwest 4\nbottom 5\ntop 6\n\nThe keyword arguments allow to overwrite the default region numbers.\n\n\n\n\n\nsimplexgrid(grid2d::ExtendableGrid, coordZ; bot_offset=0,cell_offset=0,top_offset=0, bface_offset=0)\n\nCreate tensor product of 2D grid and 1D coordinate array.\n\nCellregions and outer facet regions are taken over from 2D grid and added to cell_offset and bface_offset, respectively. Top an bottom facet regions are detected from the cell regions and added to bot_offset resp. top_offset.\n\n\n\n\n\nsimplexgrid(\n file::String;\n format,\n kwargs...\n) -> Union{Nothing, ExtendableGrid}\n\n\nRead grid from file. Supported formats:\n\n\"*.sg\": pdelib sg files. Format versions:\nformat=v\"2.0\": long version with some unnecessary data\nformat=v\"2.1\": shortened version only with cells, cellnodes, cellregions, bfacenodes, bfaceregions\nformat=v\"2.2\": like 2.1, but additional info on cell and node partitioning. Edge partitioning is not stored in the file and may be re-established by induce_edge_partitioning!.\n\"*.geo\": gmsh geometry description (requires using Gmsh)\n\"*.msh\": gmsh mesh (requires using Gmsh)\n\n\n\n\n\n","category":"function"},{"location":"gridconstructors/#ExtendableGrids.glue","page":"Grid constructors","title":"ExtendableGrids.glue","text":"c=glue(a,b)\n\nGlue together two vectors a and b resulting in a vector c. They last element of a shall be equal (up to tol) to the first element of b. The result fulfills length(c)=length(a)+length(b)-1\n\n\n\n\n\nglue(g1,g2;\n g1regions=1:num_bfaceregions(g1),\n g2regions=1:num_bfaceregions(g2),\n interface=0,\n warnonly = false,\n tol=1.0e-10,\n naive=false)\n\nMerge two grids along their common boundary facets. \n\ng1: First grid to be merged\ng2: Second grid to be merged\ng1regions: boundary regions to be used from grid1. Default: all.\ng2regions: boundary regions to be used from grid2. Default: all.\ninterface: if nonzero, create interface region in new grid, otherwise, ignore\nstrict: Assume all bfaces form specfied regions shall be matched, throw error on failure\ntol: Distance below which two points are seen as identical. Default: 1.0e-10\nnaive: use naive quadratic complexity matching (for checking backward compatibility). Default: false\n\nDeprecated:\n\nbreg: old notation for interface\n\n\n\n\n\n","category":"function"},{"location":"gridconstructors/#Various-special-grids","page":"Grid constructors","title":"Various special grids","text":"","category":"section"},{"location":"gridconstructors/","page":"Grid constructors","title":"Grid constructors","text":"Private = false\nModules = [ExtendableGrids]\nPages = [\"commongrids.jl\"]","category":"page"},{"location":"gridconstructors/#ExtendableGrids.grid_lshape-Tuple{Type{<:Triangle2D}}","page":"Grid constructors","title":"ExtendableGrids.grid_lshape","text":"grid_lshape(::Type{<:Triangle2D}; scale = [1,1], shift = [0,0])\n\nLshape domain\n\n\n\n\n\n","category":"method"},{"location":"gridconstructors/#ExtendableGrids.grid_triangle-Union{Tuple{AbstractMatrix{T}}, Tuple{T}} where T","page":"Grid constructors","title":"ExtendableGrids.grid_triangle","text":"grid_triangle(coords::AbstractArray{T,2}) where {T}\n\nGenerates a single triangle with the given coordinates, that should be a 2 x 3 array with the coordinates of the three vertices, e.g. coords = [0.0 0.0; 1.0 0.0; 0.0 1.0]'.\n\n\n\n\n\n","category":"method"},{"location":"gridconstructors/#ExtendableGrids.grid_unitcube-Tuple{Type{<:Hexahedron3D}}","page":"Grid constructors","title":"ExtendableGrids.grid_unitcube","text":"grid_unitcube(EG::Type{<:Hexahedron3D}; scale = [1,1,1], shift = [0,0,0])\n\nUnit cube as one cell with six boundary regions (bottom, front, right, back, left, top)\n\n\n\n\n\n","category":"method"},{"location":"gridconstructors/#ExtendableGrids.grid_unitcube-Tuple{Type{Tetrahedron3D}}","page":"Grid constructors","title":"ExtendableGrids.grid_unitcube","text":"grid_unitcube(::Type{Tetrahedron3D}; scale = [1,1,1], shift = [0,0,0])\n\nUnit cube as six tets with six boundary regions (bottom, front, right, back, left, top)\n\n\n\n\n\n","category":"method"},{"location":"gridconstructors/#ExtendableGrids.grid_unitsquare-Tuple{Type{<:Quadrilateral2D}}","page":"Grid constructors","title":"ExtendableGrids.grid_unitsquare","text":"grid_unitsquare(EG::Type{<:Quadrilateral2D}; scale = [1,1], shift = [0,0])\n\nUnit square as one cell with four boundary regions (bottom, right, top, left)\n\n\n\n\n\n","category":"method"},{"location":"gridconstructors/#ExtendableGrids.grid_unitsquare-Tuple{Type{<:Triangle2D}}","page":"Grid constructors","title":"ExtendableGrids.grid_unitsquare","text":"grid_unitsquare(::Type{<:Triangle2D}; scale = [1,1], shift = [0,0])\n\nUnit square as two triangles with four boundary regions (bottom, right, top, left)\n\n\n\n\n\n","category":"method"},{"location":"gridconstructors/#ExtendableGrids.grid_unitsquare_mixedgeometries-Tuple{}","page":"Grid constructors","title":"ExtendableGrids.grid_unitsquare_mixedgeometries","text":"grid_unitsquare_mixedgeometries()\n\nUnit suqare as mixed triangles and squares with four boundary regions (bottom, right, top, left)\n\n\n\n\n\n","category":"method"},{"location":"gridconstructors/#ExtendableGrids.reference_domain","page":"Grid constructors","title":"ExtendableGrids.reference_domain","text":" reference_domain(EG::Type{<:AbstractElementGeometry}, T::Type{<:Real} = Float64; scale = [1,1,1], shift = [0,0,0]) -> ExtendableGrid{T,Int32}\n\nGenerates an ExtendableGrid{T,Int32} for the reference domain of the specified Element Geometry. With scale and shift the coordinates can be manipulated.\n\n\n\n\n\n","category":"function"},{"location":"gridconstructors/#ExtendableGrids.ringsector-Tuple{Any, Any}","page":"Grid constructors","title":"ExtendableGrids.ringsector","text":"ringsector(rad,ang; eltype=Triangle2D)\n\nSector of ring or full ring (if ang[begin]-ang[end]≈2π)\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#Adjacency","page":"Adjacency","title":"Adjacency","text":"","category":"section"},{"location":"adjacency/","page":"Adjacency","title":"Adjacency","text":"This handles adjacency matrices between entities of polyhedral complexes, e.g. nodes, cells, edges etc.","category":"page"},{"location":"adjacency/","page":"Adjacency","title":"Adjacency","text":"An adjacency is described by an Adjacency matrix, which is a sparse matrix whose entries a 0 or 1. While such a matrix always can be stored as a SparseMatrixCSC, in general this would be a waste of storage.","category":"page"},{"location":"adjacency/","page":"Adjacency","title":"Adjacency","text":"For the general case, it is sufficient to only store the column start indieces and the column entries (row numbers), and to implicitely assume that nonzero entries are 1. This kind of storage is realised in a VariableTargetAdjacency.","category":"page"},{"location":"adjacency/","page":"Adjacency","title":"Adjacency","text":"In many cases, this can be compressed even more, if each column has the same length. In that case, a Matrix is sufficient to store the data. This is the usual base for implementing FEM/FVM assembly, and the interface for the general case should be similar.","category":"page"},{"location":"adjacency/","page":"Adjacency","title":"Adjacency","text":"From these ideas we develop the following interface for an adjacency a.","category":"page"},{"location":"adjacency/","page":"Adjacency","title":"Adjacency","text":"In order to avoid name confusion, we introduce the following notation which should be consistent with the use in assembly loops.","category":"page"},{"location":"adjacency/","page":"Adjacency","title":"Adjacency","text":"source: source of adjacency link target: target of adjacency link","category":"page"},{"location":"adjacency/","page":"Adjacency","title":"Adjacency","text":"E.g. the cell-node adjacency for FEM assembly links a number of cells with a collection of nodes. The cells are the sources, and the targets are the nodes. ","category":"page"},{"location":"adjacency/","page":"Adjacency","title":"Adjacency","text":"getindex(a,i,isource) aka a[i,isource]: return i-th target of source j numsources(a): overall number of sources, e.g. number of cells numtargets(a): overall number of targets numtargets(a,isource): number of targets for source given by isource numlinks(a): number of links aka nonzero entries of adjacency matrix show(a): print stuff","category":"page"},{"location":"adjacency/","page":"Adjacency","title":"Adjacency","text":"Further API ideas:","category":"page"},{"location":"adjacency/","page":"Adjacency","title":"Adjacency","text":"Convert between Matrix and Variable target stuff using 0 entries as \"padding\"","category":"page"},{"location":"adjacency/#API","page":"Adjacency","title":"API","text":"","category":"section"},{"location":"adjacency/","page":"Adjacency","title":"Adjacency","text":"Modules = [ExtendableGrids]\nPages = [\"adjacency.jl\",\"serialadjacency.jl\"]","category":"page"},{"location":"adjacency/#ExtendableGrids.Adjacency","page":"Adjacency","title":"ExtendableGrids.Adjacency","text":"Adjacency type as union of FixedTargetAdjacency and VariableTargetAdjacency\n\n\n\n\n\n","category":"type"},{"location":"adjacency/#ExtendableGrids.Adjacency-Union{Tuple{Matrix{T}}, Tuple{T}} where T","page":"Adjacency","title":"ExtendableGrids.Adjacency","text":"Constructors for Adjacency\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.FixedTargetAdjacency","page":"Adjacency","title":"ExtendableGrids.FixedTargetAdjacency","text":"mutable struct Array{T, 2} <: DenseArray{T, 2}\n\nUse Matrix to store fixed target adjacency\n\n\n\n\n\n","category":"type"},{"location":"adjacency/#ExtendableGrids.SerialVariableTargetAdjacency-Tuple{}","page":"Adjacency","title":"ExtendableGrids.SerialVariableTargetAdjacency","text":"SerialVariableTargetAdjacency(\n\n) -> SerialVariableTargetAdjacency{Int64}\n\n\nCreate an empty SerialVariableTargetAdjacency with default type\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.SerialVariableTargetAdjacency-Union{Tuple{Type{T}}, Tuple{T}} where T","page":"Adjacency","title":"ExtendableGrids.SerialVariableTargetAdjacency","text":"SerialVariableTargetAdjacency(\n t::Type{T}\n) -> SerialVariableTargetAdjacency\n\n\nCreate an empty SerialVariableTargetAdjacency\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.VariableTargetAdjacency","page":"Adjacency","title":"ExtendableGrids.VariableTargetAdjacency","text":"struct VariableTargetAdjacency{T}\n\nAdjacency struct. Essentially, this is the sparsity pattern of a matrix whose nonzero elements all have the same value in the CSC format.\n\n\n\n\n\n","category":"type"},{"location":"adjacency/#ExtendableGrids.VariableTargetAdjacency-Tuple{}","page":"Adjacency","title":"ExtendableGrids.VariableTargetAdjacency","text":"VariableTargetAdjacency() -> VariableTargetAdjacency{Int64}\n\n\nCreate an empty VariableTargetAdjacency with default type\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.VariableTargetAdjacency-Union{Tuple{Matrix{T}}, Tuple{T}} where T","page":"Adjacency","title":"ExtendableGrids.VariableTargetAdjacency","text":"VariableTargetAdjacency(\n m::Array{T, 2}\n) -> VariableTargetAdjacency\n\n\nCreate a VariableTargetAdjacency from Matrix\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.VariableTargetAdjacency-Union{Tuple{SparseArrays.SparseMatrixCSC{Tv, Ti}}, Tuple{Ti}, Tuple{Tv}} where {Tv<:Integer, Ti<:Integer}","page":"Adjacency","title":"ExtendableGrids.VariableTargetAdjacency","text":"VariableTargetAdjacency(\n m::SparseArrays.SparseMatrixCSC{Tv<:Integer, Ti<:Integer}\n) -> VariableTargetAdjacency{Ti} where Ti<:Integer\n\n\nCreate variable target adjacency from adjacency matrix\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.VariableTargetAdjacency-Union{Tuple{Type{T}}, Tuple{T}} where T","page":"Adjacency","title":"ExtendableGrids.VariableTargetAdjacency","text":"VariableTargetAdjacency(\n t::Type{T}\n) -> VariableTargetAdjacency\n\n\nCreate an empty VariableTargetAdjacency\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#Base.:==-Union{Tuple{Tb}, Tuple{Ta}, Tuple{SerialVariableTargetAdjacency{Ta}, SerialVariableTargetAdjacency{Tb}}} where {Ta, Tb}","page":"Adjacency","title":"Base.:==","text":"==(a, b)\n\n\nComparison of two adjacencies\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#Base.:==-Union{Tuple{Tb}, Tuple{Ta}, Tuple{VariableTargetAdjacency{Ta}, VariableTargetAdjacency{Tb}}} where {Ta, Tb}","page":"Adjacency","title":"Base.:==","text":"==(a, b)\n\n\nComparison of two adjacencies\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#Base.append!-Tuple{SerialVariableTargetAdjacency, Any}","page":"Adjacency","title":"Base.append!","text":"append!(adj::SerialVariableTargetAdjacency, len) -> Vector\n\n\nAppend a column to adjacency.\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#Base.append!-Tuple{VariableTargetAdjacency, Any}","page":"Adjacency","title":"Base.append!","text":"append!(adj::VariableTargetAdjacency, column) -> Vector\n\n\nAppend a column to adjacency.\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#Base.getindex-Tuple{SerialVariableTargetAdjacency, Any, Any}","page":"Adjacency","title":"Base.getindex","text":"getindex(\n adj::SerialVariableTargetAdjacency,\n i,\n isource\n) -> Any\n\n\nAccess adjacency as if it is a 2D Array\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#Base.getindex-Tuple{VariableTargetAdjacency, Any, Any}","page":"Adjacency","title":"Base.getindex","text":"getindex(adj::VariableTargetAdjacency, i, isource) -> Any\n\n\nAccess adjacency as if it is a 2D Array\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#Base.show-Tuple{IO, SerialVariableTargetAdjacency}","page":"Adjacency","title":"Base.show","text":"show(io::IO, adj::SerialVariableTargetAdjacency)\n\n\nShow adjacency (in trasposed form; preliminary)\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#Base.show-Tuple{IO, VariableTargetAdjacency}","page":"Adjacency","title":"Base.show","text":"show(io::IO, adj::VariableTargetAdjacency)\n\n\nShow adjacency (in trasposed form; preliminary)\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.asparse-Tuple{Matrix}","page":"Adjacency","title":"ExtendableGrids.asparse","text":"asparse(a::Matrix) -> SparseArrays.SparseMatrixCSC{Int64}\n\n\nCreate sparse incidence matrix from adjacency\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.asparse-Tuple{VariableTargetAdjacency}","page":"Adjacency","title":"ExtendableGrids.asparse","text":"asparse(\n a::VariableTargetAdjacency\n) -> SparseArrays.SparseMatrixCSC{Int64}\n\n\nCreate sparse incidence matrix from adjacency\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.atranspose-Union{Tuple{Adjacency{T}}, Tuple{T}} where T","page":"Adjacency","title":"ExtendableGrids.atranspose","text":"Transpose adjacency\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.makevar-Union{Tuple{Matrix{T}}, Tuple{T}} where T","page":"Adjacency","title":"ExtendableGrids.makevar","text":"makevar(a::Array{T, 2}) -> VariableTargetAdjacency\n\n\nTurn fixed target adjacency into variable target adjacency\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.max_num_targets_per_source-Tuple{Matrix}","page":"Adjacency","title":"ExtendableGrids.max_num_targets_per_source","text":"max_num_targets_per_source(adj::Matrix) -> Int64\n\n\nMaximum number of targets per source\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.max_num_targets_per_source-Tuple{SerialVariableTargetAdjacency}","page":"Adjacency","title":"ExtendableGrids.max_num_targets_per_source","text":"max_num_targets_per_source(\n adj::SerialVariableTargetAdjacency\n) -> Any\n\n\nMaximum number of targets per source\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.max_num_targets_per_source-Tuple{VariableTargetAdjacency}","page":"Adjacency","title":"ExtendableGrids.max_num_targets_per_source","text":"max_num_targets_per_source(\n adj::VariableTargetAdjacency\n) -> Any\n\n\nMaximum number of targets per source\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.num_links-Tuple{Matrix}","page":"Adjacency","title":"ExtendableGrids.num_links","text":"num_links(adj::Matrix) -> Int64\n\n\nNumber of entries\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.num_links-Tuple{VariableTargetAdjacency}","page":"Adjacency","title":"ExtendableGrids.num_links","text":"num_links(adj::VariableTargetAdjacency) -> Int64\n\n\nNumber of links\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.num_sources-Tuple{Matrix}","page":"Adjacency","title":"ExtendableGrids.num_sources","text":"num_sources(adj::Matrix) -> Int64\n\n\nNumber of sources in adjacency\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.num_sources-Tuple{SerialVariableTargetAdjacency}","page":"Adjacency","title":"ExtendableGrids.num_sources","text":"num_sources(adj::SerialVariableTargetAdjacency) -> Int64\n\n\nNumber of sources in adjacency\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.num_sources-Tuple{VariableTargetAdjacency}","page":"Adjacency","title":"ExtendableGrids.num_sources","text":"num_sources(adj::VariableTargetAdjacency) -> Int64\n\n\nNumber of sources in adjacency\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.num_targets-Tuple{Matrix, Any}","page":"Adjacency","title":"ExtendableGrids.num_targets","text":"num_targets(adj::Matrix, isource) -> Int64\n\n\nNumber of targets per source if adjacency is a matrix\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.num_targets-Tuple{Matrix}","page":"Adjacency","title":"ExtendableGrids.num_targets","text":"num_targets(adj::Matrix) -> Any\n\n\nOverall number of targets \n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.num_targets-Tuple{SerialVariableTargetAdjacency, Any}","page":"Adjacency","title":"ExtendableGrids.num_targets","text":"num_targets(\n adj::SerialVariableTargetAdjacency,\n isource\n) -> Any\n\n\nNumber of targets for given source\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.num_targets-Tuple{VariableTargetAdjacency, Any}","page":"Adjacency","title":"ExtendableGrids.num_targets","text":"num_targets(adj::VariableTargetAdjacency, isource) -> Any\n\n\nNumber of targets for given source\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.num_targets-Tuple{VariableTargetAdjacency}","page":"Adjacency","title":"ExtendableGrids.num_targets","text":"num_targets(adj::VariableTargetAdjacency) -> Any\n\n\nNumber of targeta\n\n\n\n\n\n","category":"method"},{"location":"adjacency/#ExtendableGrids.tryfix-Union{Tuple{Adjacency{T}}, Tuple{T}} where T","page":"Adjacency","title":"ExtendableGrids.tryfix","text":"tryfix(\n a::Union{Array{T, 2}, VariableTargetAdjacency{T}}\n) -> Any\n\n\nTry to turn variable target adjacency into fixed target adjacency\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#Shape-specifications","page":"Shape specifications","title":"Shape specifications","text":"","category":"section"},{"location":"shape_specs/#API","page":"Shape specifications","title":"API","text":"","category":"section"},{"location":"shape_specs/","page":"Shape specifications","title":"Shape specifications","text":"Modules = [ExtendableGrids]\nPages = [\"shape_specs.jl\"]","category":"page"},{"location":"shape_specs/#ExtendableGrids.facetype_of_cellface-Tuple{Type{<:AbstractElementGeometry1D}, Any}","page":"Shape specifications","title":"ExtendableGrids.facetype_of_cellface","text":"facetype_of_cellface(_, k)\n\n\nGeometries of faces of 1D edge\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.facetype_of_cellface-Tuple{Type{<:Hexahedron3D}, Any}","page":"Shape specifications","title":"ExtendableGrids.facetype_of_cellface","text":"facetype_of_cellface(_, k)\n\n\nGeometries of faces of 3D hexahedron\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.facetype_of_cellface-Tuple{Type{<:Parallelepiped3D}, Any}","page":"Shape specifications","title":"ExtendableGrids.facetype_of_cellface","text":"facetype_of_cellface(_, k)\n\n\nGeometries of faces of 3D parallelepiped\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.facetype_of_cellface-Tuple{Type{<:Quadrilateral2D}, Any}","page":"Shape specifications","title":"ExtendableGrids.facetype_of_cellface","text":"facetype_of_cellface(_, k)\n\n\nGeometries of faces of 2D quadrilateral\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.facetype_of_cellface-Tuple{Type{<:Tetrahedron3D}, Any}","page":"Shape specifications","title":"ExtendableGrids.facetype_of_cellface","text":"facetype_of_cellface(_, k)\n\n\nGeometries of faces of 3D tetrahedron\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.facetype_of_cellface-Tuple{Type{<:Triangle2D}, Any}","page":"Shape specifications","title":"ExtendableGrids.facetype_of_cellface","text":"facetype_of_cellface(_, k)\n\n\nGeometries of faces of 2D triangle\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.local_celledgenodes-Tuple{Type{<:AbstractElementGeometry1D}}","page":"Shape specifications","title":"ExtendableGrids.local_celledgenodes","text":"local_celledgenodes(_)\n\n\nCell-edge node numbering for 1D edge\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.local_celledgenodes-Tuple{Type{<:Hexahedron3D}}","page":"Shape specifications","title":"ExtendableGrids.local_celledgenodes","text":"local_celledgenodes(_)\n\n\nCell-edge node numbering for 3D hexahedron\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.local_celledgenodes-Tuple{Type{<:Quadrilateral2D}}","page":"Shape specifications","title":"ExtendableGrids.local_celledgenodes","text":"local_celledgenodes(_)\n\n\nCell-edge node numbering for 2D quadrilateral\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.local_celledgenodes-Tuple{Type{<:Tetrahedron3D}}","page":"Shape specifications","title":"ExtendableGrids.local_celledgenodes","text":"local_celledgenodes(_)\n\n\nCell-edge node numbering for 3D tetrahedron\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.local_celledgenodes-Tuple{Type{<:Triangle2D}}","page":"Shape specifications","title":"ExtendableGrids.local_celledgenodes","text":"local_celledgenodes(_)\n\n\nCell-edge node numbering for 2D triangle\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.local_celledgenodes-Tuple{Type{Vertex0D}}","page":"Shape specifications","title":"ExtendableGrids.local_celledgenodes","text":"local_celledgenodes(_)\n\n\nCell-edge node numbering for 1D edge\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.local_cellfacenodes-Tuple{Type{<:AbstractElementGeometry1D}}","page":"Shape specifications","title":"ExtendableGrids.local_cellfacenodes","text":"local_cellfacenodes(_)\n\n\nCell-face node numbering for 1D edge\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.local_cellfacenodes-Tuple{Type{<:Hexahedron3D}}","page":"Shape specifications","title":"ExtendableGrids.local_cellfacenodes","text":"local_cellfacenodes(_)\n\n\nCell-face node numbering for 3D hexahedron\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.local_cellfacenodes-Tuple{Type{<:Quadrilateral2D}}","page":"Shape specifications","title":"ExtendableGrids.local_cellfacenodes","text":"local_cellfacenodes(_)\n\n\nCell-face node numbering for 2D quadrilateral\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.local_cellfacenodes-Tuple{Type{<:Tetrahedron3D}}","page":"Shape specifications","title":"ExtendableGrids.local_cellfacenodes","text":"local_cellfacenodes(_)\n\n\nCell-face node numbering for 3D tetrahedron\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.local_cellfacenodes-Tuple{Type{<:Triangle2D}}","page":"Shape specifications","title":"ExtendableGrids.local_cellfacenodes","text":"local_cellfacenodes(_)\n\n\nCell-face node numbering for 2D triangle\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.num_edges-Tuple{ExtendableGrid}","page":"Shape specifications","title":"ExtendableGrids.num_edges","text":"num_edges(grid)\n\n\nNumber of edges in grid.\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.num_edges-Tuple{Type{<:AbstractElementGeometry0D}}","page":"Shape specifications","title":"ExtendableGrids.num_edges","text":"num_edges(_)\n\n\nNumber of edges of 0D vertex\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.num_edges-Tuple{Type{<:AbstractElementGeometry1D}}","page":"Shape specifications","title":"ExtendableGrids.num_edges","text":"num_edges(_)\n\n\nNumber of edges for 1D edge\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.num_edges-Tuple{Type{<:Quadrilateral2D}}","page":"Shape specifications","title":"ExtendableGrids.num_edges","text":"num_edges(_)\n\n\nNumber of edges in 2D quadrilateral\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.num_edges-Tuple{Type{<:Tetrahedron3D}}","page":"Shape specifications","title":"ExtendableGrids.num_edges","text":"num_edges(_)\n\n\nNumber of edges in 3D tetrahedron\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.num_edges-Tuple{Type{<:Triangle2D}}","page":"Shape specifications","title":"ExtendableGrids.num_edges","text":"num_edges(_)\n\n\nNumber of edges in 2D triangle\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.num_edges-Tuple{Type{Edge1D}}","page":"Shape specifications","title":"ExtendableGrids.num_edges","text":"num_edges(_)\n\n\nNumber of edges of 1D edge\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.num_faces-Tuple{Type{<:AbstractElementGeometry0D}}","page":"Shape specifications","title":"ExtendableGrids.num_faces","text":"num_faces(_)\n\n\nNumber of faces of 0D vertex\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.num_faces-Tuple{Type{<:AbstractElementGeometry1D}}","page":"Shape specifications","title":"ExtendableGrids.num_faces","text":"num_faces(_)\n\n\nNumber of faces for 1D edge\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.num_faces-Tuple{Type{<:Quadrilateral2D}}","page":"Shape specifications","title":"ExtendableGrids.num_faces","text":"num_faces(_)\n\n\nNumber of faces in 2D quadrilateral\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.num_faces-Tuple{Type{<:Tetrahedron3D}}","page":"Shape specifications","title":"ExtendableGrids.num_faces","text":"num_faces(_)\n\n\nNumber of faces in 3D tetrahedron\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.num_faces-Tuple{Type{<:Triangle2D}}","page":"Shape specifications","title":"ExtendableGrids.num_faces","text":"num_faces(_)\n\n\nNumber of faces in 2D triangle\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.num_nodes-Tuple{Type{<:AbstractElementGeometry0D}}","page":"Shape specifications","title":"ExtendableGrids.num_nodes","text":"num_nodes(_)\n\n\nNumber of nodes of 0D vertex\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.num_nodes-Tuple{Type{<:AbstractElementGeometry1D}}","page":"Shape specifications","title":"ExtendableGrids.num_nodes","text":"num_nodes(_)\n\n\nNumber of nodes for 1D edge\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.num_nodes-Tuple{Type{<:Hexahedron3D}}","page":"Shape specifications","title":"ExtendableGrids.num_nodes","text":"num_nodes(_)\n\n\nNumber of nodes in 3D hexahedron\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.num_nodes-Tuple{Type{<:Quadrilateral2D}}","page":"Shape specifications","title":"ExtendableGrids.num_nodes","text":"num_nodes(_)\n\n\nNumber of nodes in 2D quadrilateral\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.num_nodes-Tuple{Type{<:Tetrahedron3D}}","page":"Shape specifications","title":"ExtendableGrids.num_nodes","text":"num_nodes(_)\n\n\nNumber of nodes in 3D tetrahedron\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.num_nodes-Tuple{Type{<:Triangle2D}}","page":"Shape specifications","title":"ExtendableGrids.num_nodes","text":"num_nodes(_)\n\n\nNumber of nodes in 2D triangle\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.refcoords_for_geometry-Tuple{Type{<:AbstractElementGeometry0D}}","page":"Shape specifications","title":"ExtendableGrids.refcoords_for_geometry","text":"refcoords_for_geometry(_)\n\n\nCoordinates of reference geometry of 0D vertex\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.refcoords_for_geometry-Tuple{Type{<:AbstractElementGeometry1D}}","page":"Shape specifications","title":"ExtendableGrids.refcoords_for_geometry","text":"refcoords_for_geometry(_)\n\n\nCoordinates of reference geometry of 1D edge\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.refcoords_for_geometry-Tuple{Type{<:Hexahedron3D}}","page":"Shape specifications","title":"ExtendableGrids.refcoords_for_geometry","text":"refcoords_for_geometry(_)\n\n\nCoordinates of reference geometry of 3D hexahedron\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.refcoords_for_geometry-Tuple{Type{<:Quadrilateral2D}}","page":"Shape specifications","title":"ExtendableGrids.refcoords_for_geometry","text":"refcoords_for_geometry(_)\n\n\nCoordinates of reference geometry of 2D quadrilateral\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.refcoords_for_geometry-Tuple{Type{<:Tetrahedron3D}}","page":"Shape specifications","title":"ExtendableGrids.refcoords_for_geometry","text":"refcoords_for_geometry(_)\n\n\nCoordinates of reference geometry of 3D tetrahedron\n\n\n\n\n\n","category":"method"},{"location":"shape_specs/#ExtendableGrids.refcoords_for_geometry-Tuple{Type{<:Triangle2D}}","page":"Shape specifications","title":"ExtendableGrids.refcoords_for_geometry","text":"refcoords_for_geometry(_)\n\n\nCoordinates of reference geometry of 2D triangle\n\n\n\n\n\n","category":"method"},{"location":"partitioning/#Grid-partitioning","page":"Grid partitioning","title":"Grid partitioning","text":"","category":"section"},{"location":"partitioning/","page":"Grid partitioning","title":"Grid partitioning","text":"All grids created from ExtendableGrids can be considered to be partitioned such that the neighborhood graph of the partitions is colored so that operations (FEM/FVM assembly, sparse matrix-vector multiplication with SparseMatrixCSC, ILU preconditioners) on different partitions of the same color can be performed in parallel without write conflicts in a multithreading environment.","category":"page"},{"location":"partitioning/","page":"Grid partitioning","title":"Grid partitioning","text":"The default partitioning is trivial: all cells and nodes belong to one partition, and the resulting trivial neighborhood graph is colored with one color.","category":"page"},{"location":"partitioning/#API-calls","page":"Grid partitioning","title":"API calls","text":"","category":"section"},{"location":"partitioning/","page":"Grid partitioning","title":"Grid partitioning","text":"partition\npcolors\npcolor_partitions\npartition_cells\npartition_bfaces\npartition_nodes\npartition_edges\nnum_pcolors\nnum_partitions\nnum_partitions_per_color\nnum_nodes_per_partition\nnum_edges_per_partition\nnum_cells_per_color\ncheck_partitioning","category":"page"},{"location":"partitioning/#ExtendableGrids.partition","page":"Grid partitioning","title":"ExtendableGrids.partition","text":" partition(grid::ExtendableGrid,\n alg::AbstractPartitioningAlgorithm;\n nodes = false,\n keep_nodepermutation = false,\n edges = false )\n\nPartition cells of grid according to alg, such that the neigborhood graph of partitions is colored in such a way, that all partitions with a given color can be worked on in parallel. Cells are renumbered such that cell numbers for a given partition are numbered contiguously. \n\nReturn the resulting grid.\n\nUseful for parallel FEM assembly and cellwise FVM assembly.\n\nKeyword arguments:\n\nnodes: if true, induce node partitioning from cell partitioning. Used for node/edgewise FVM assembly. In addition the resulting partitioning supports parallel matrix-vector products with SparseMatrixCSC. Nodes are renumbered compared to the original grid. If false (default), a trivial partitioning of the nodes is created such that all nodes belong to partition 1 and all others are empty.\nkeep_nodepermutation: if true, keep the node permutation with respect to the original grid in grid[NodePermutation].\nedges: if true, induce partitioning of edges from cell partitioning. Used for node/edgewise FVM assembly. This step creates a number of relatively expensive additional adjacencies. If false (default), a trivial partitioning of the edges is created such that all edges belong to partition 1 and all others are empty.\n\nAccess:\n\npcolors returns the range of partition colors\npcolor_partitions returns the range of partition numbers for a given color\npartition_cells provides the range of cell numbers of a given partition\npartition_nodes provides the range of node numbers of a given partition\npartition_edges provides the range of edge numbers of a given partition\n\nA parallel loop over grid cells thus looks like\n\nfor color in pcolors(grid)\n @threads for part in pcolor_partitions(grid, color)\n for cell in partition_cells(grid, part)\n ...\n end\n end\nend\n\nWithout a call to partition, all these functions return trivial data such that the above sample code stays valid.\n\nnote: Note\npartition must be called before obtaining any other adjacencies of a grid.\n\nCurrently, partitioning does not cover the boundary, boundary cells belong to one big trivial partition.\n\n\n\n\n\n","category":"function"},{"location":"partitioning/#ExtendableGrids.pcolors","page":"Grid partitioning","title":"ExtendableGrids.pcolors","text":"pcolors(grid)\n\n\nReturn range of all pcolors based on grid[PColorPartitions].\n\n\n\n\n\n","category":"function"},{"location":"partitioning/#ExtendableGrids.pcolor_partitions","page":"Grid partitioning","title":"ExtendableGrids.pcolor_partitions","text":"pcolor_partitions(grid, color)\n\n\nReturn range of partitions for given pcolor based on grid[PColorPartitions].\n\n\n\n\n\n","category":"function"},{"location":"partitioning/#ExtendableGrids.partition_cells","page":"Grid partitioning","title":"ExtendableGrids.partition_cells","text":"partition_cells(grid, part)\n\n\nReturn range of cells belonging to a given partition grid[PartitionCells].\n\n\n\n\n\n","category":"function"},{"location":"partitioning/#ExtendableGrids.partition_bfaces","page":"Grid partitioning","title":"ExtendableGrids.partition_bfaces","text":"partition_bfaces(grid, part)\n\n\nReturn range of boundary faces belonging to a given partition based on grid[PartitionBFaces].\n\n\n\n\n\n","category":"function"},{"location":"partitioning/#ExtendableGrids.partition_nodes","page":"Grid partitioning","title":"ExtendableGrids.partition_nodes","text":"partition_nodes(grid, part)\n\n\nReturn range of nodes belonging to a given partition based on grid[PartitionNodes].\n\n\n\n\n\n","category":"function"},{"location":"partitioning/#ExtendableGrids.partition_edges","page":"Grid partitioning","title":"ExtendableGrids.partition_edges","text":"partition_edges(grid, part)\n\n\nReturn range of edges belonging to a given partition based on grid[PartitionEdges].\n\n\n\n\n\n","category":"function"},{"location":"partitioning/#ExtendableGrids.num_pcolors","page":"Grid partitioning","title":"ExtendableGrids.num_pcolors","text":"num_pcolors(grid)\n\n\nReturn number of partition colors based on grid[PColorPartitions].\n\n\n\n\n\n","category":"function"},{"location":"partitioning/#ExtendableGrids.num_partitions","page":"Grid partitioning","title":"ExtendableGrids.num_partitions","text":"num_partitions(grid)\n\n\nReturn number of partitions based on grid[PartitionCells].\n\n\n\n\n\n","category":"function"},{"location":"partitioning/#ExtendableGrids.num_partitions_per_color","page":"Grid partitioning","title":"ExtendableGrids.num_partitions_per_color","text":"num_partitions_per_color(grid)\n\n\nReturn a vector containing the number of partitions for each of the colors of the grid partitioning. These define the maximum number of parallel threads for each color.\n\n\n\n\n\n","category":"function"},{"location":"partitioning/#ExtendableGrids.num_nodes_per_partition","page":"Grid partitioning","title":"ExtendableGrids.num_nodes_per_partition","text":"num_nodes_per_partition(grid)\n\n\nReturn a vector containing the number of nodes for each of the partitions of the grid partitioning.\n\n\n\n\n\n","category":"function"},{"location":"partitioning/#ExtendableGrids.num_edges_per_partition","page":"Grid partitioning","title":"ExtendableGrids.num_edges_per_partition","text":"num_edges_per_partition(grid)\n\n\nReturn a vector containing the number of nodes for each of the partitions of the grid partitioning.\n\n\n\n\n\n","category":"function"},{"location":"partitioning/#ExtendableGrids.num_cells_per_color","page":"Grid partitioning","title":"ExtendableGrids.num_cells_per_color","text":"num_cells_per_color(grid)\n\n\nReturn a vector containing the number of cells for each of the colors of the grid partitioning.\n\n\n\n\n\n","category":"function"},{"location":"partitioning/#ExtendableGrids.check_partitioning","page":"Grid partitioning","title":"ExtendableGrids.check_partitioning","text":"check_partitioning(grid; \n verbose=true, \n cellpartonly=false)\n\nCheck correctness of cell partitioning, necessesary for parallel assembly:\n\nCheck if every node belongs to one of the cell partitions\nCheck if no node belongs to two cell partitions of the same color at once\n\nIf cellpartonly==false check correctness of node partitioning necessary for parallel sparse matrix multiplication and ILU preconditioning\n\nCheck if no node belongs to two node partitions of the same color at once\nCheck if no node is a neighbor of nodes from two node partitions of the same color\n\n\n\n\n\n","category":"function"},{"location":"partitioning/#Partitioning-algorithms","page":"Grid partitioning","title":"Partitioning algorithms","text":"","category":"section"},{"location":"partitioning/","page":"Grid partitioning","title":"Grid partitioning","text":"AbstractPartitioningAlgorithm\nTrivialPartitioning\nPlainMetisPartitioning\nRecursiveMetisPartitioning","category":"page"},{"location":"partitioning/#ExtendableGrids.AbstractPartitioningAlgorithm","page":"Grid partitioning","title":"ExtendableGrids.AbstractPartitioningAlgorithm","text":"abstract type AbstractPartitioningAlgorithm\n\nAbstract super type for partitioning algorithms\n\n\n\n\n\n","category":"type"},{"location":"partitioning/#ExtendableGrids.TrivialPartitioning","page":"Grid partitioning","title":"ExtendableGrids.TrivialPartitioning","text":"struct TrivialPartitioning <: AbstractPartitioningAlgorithm\n\nTrivial partitioning: all grid cells belong to single partition number 1.\n\n\n\n\n\n","category":"type"},{"location":"partitioning/#ExtendableGrids.PlainMetisPartitioning","page":"Grid partitioning","title":"ExtendableGrids.PlainMetisPartitioning","text":"struct PlainMetisPartitioning <: AbstractPartitioningAlgorithm\n\nSubdivide grid into npart partitions using Metis.partition and color the resulting partition neigborhood graph. This requires to import Metis.jl in order to trigger the corresponding extension.\n\nThis algorithm allows to control the overall number of partitions. The number of partitions per color comes from the subsequent partition graph coloring and in the moment cannot be controlled.\n\nParameters: \n\nnpart::Int64: Number of partitions (default: 20)\n\n\n\n\n\n","category":"type"},{"location":"partitioning/#ExtendableGrids.RecursiveMetisPartitioning","page":"Grid partitioning","title":"ExtendableGrids.RecursiveMetisPartitioning","text":"struct RecursiveMetisPartitioning <: AbstractPartitioningAlgorithm\n\nSubdivide grid into npart partitions using Metis.partition and calculate cell separators from this partitioning. The initial partitions get color 1, and the separator gets color 2. This is continued recursively with partitioning of the separator into npart partitions and calculating the spearator of the separator, giving it color 3.\n\nThis algorithm allows to control the number of partitions in color 1 which correspond to the bulk of the work. The overall number of partitions will be in the range of 3*npart.\n\nIf the grid is too coarse for that many partitions, several of them may be just empty.\n\nParameters: \n\nnpart::Int64: Number of color 1 partitions (default: 4)\nmaxdepth::Int64: Recursion depth (default: 1)\nseparatorwidth::Int64: Separator width (default: 2)\n\n\n\n\n\n","category":"type"},{"location":"partitioning/#Key-types-for-grid-access","page":"Grid partitioning","title":"Key types for grid access","text":"","category":"section"},{"location":"partitioning/","page":"Grid partitioning","title":"Grid partitioning","text":"PColorPartitions \nPartitionCells\nPartitionBFaces\nPartitionNodes\nPartitionEdges\nNodePermutation","category":"page"},{"location":"partitioning/#ExtendableGrids.PColorPartitions","page":"Grid partitioning","title":"ExtendableGrids.PColorPartitions","text":"abstract type PColorPartitions <: AbstractGridIntegerArray1D\n\nKey type describing colors of partitions. These correspond to a coloring of the neigborhood graphs of partitions such that operations (e.g. FEM assembly) on partitions of a given color can be performed in parallel.\n\ngrid[PColorPartitions] returns an integer vector describing the partition colors (\"pcolors\") of a grid. Let p=grid[PColorPartitions]. Then all partitions with numbers i ∈ p[c]:p[c+1]-1 have \"color\" c. See also pcolors.\n\n\n\n\n\n","category":"type"},{"location":"partitioning/#ExtendableGrids.PartitionCells","page":"Grid partitioning","title":"ExtendableGrids.PartitionCells","text":"abstract type PartitionCells <: AbstractGridIntegerArray1D\n\nKey type describing the cells of a given partition.\n\ngrid[PartitionCells] returns an integer vector describing the cells of a partition given by its number. Let pc=grid[PartitionCells]. Then all cells with index i ∈ pc[p]:pc[p+1]-1 belong to partition p.\n\n\n\n\n\n","category":"type"},{"location":"partitioning/#ExtendableGrids.PartitionBFaces","page":"Grid partitioning","title":"ExtendableGrids.PartitionBFaces","text":"abstract type PartitionBFaces <: AbstractGridIntegerArray1D\n\nKey type describing the bondary faces of a given partition.\n\ngrid[PartitionBFaces] returns an integer vector describing the boundary faces of a partition given by its number. Let pc=grid[PartitionCells]. Then all cells with index i ∈ pc[p]:pc[p+1]-1 belong to partition p.\n\n\n\n\n\n","category":"type"},{"location":"partitioning/#ExtendableGrids.PartitionNodes","page":"Grid partitioning","title":"ExtendableGrids.PartitionNodes","text":"abstract type PartitionNodes <: AbstractGridIntegerArray1D\n\nKey type describing the nodes of a given partition.\n\ngrid[PartitionNodes] returns an integer vector describing the nodes of a partition given by its number. Let pn=grid[PartitionNodes]. Then all nodes with index i ∈ pn[p]:pn[p+1]-1 belong to partition p.\n\n\n\n\n\n","category":"type"},{"location":"partitioning/#ExtendableGrids.PartitionEdges","page":"Grid partitioning","title":"ExtendableGrids.PartitionEdges","text":"abstract type PartitionEdges <: AbstractGridIntegerArray1D\n\nKey type describing the edges of a given partition.\n\ngrid[PartitionEdges] returns an integer vector describing the edges of a partition given by its number. Let pe=grid[PartitionEdges]. Then all edges with index i ∈ pe[p]:pe[p+1]-1 belong to partition p.\n\n\n\n\n\n","category":"type"},{"location":"partitioning/#ExtendableGrids.NodePermutation","page":"Grid partitioning","title":"ExtendableGrids.NodePermutation","text":"abstract type NodePermutation <: AbstractGridIntegerArray1D\n\nKey type describing the permutation of the nodes of a partitioned grid with respect to the unpartitioned origin.\n\nIf pgrid is the partitioned grid and grid is the unpartitioned origin, then \n\npgrid[Coordinates][:,pgrid[NodePermutation]]==grid[Coordinates]\n\n\n\n\n\n","category":"type"},{"location":"partitioning/#Internal-API","page":"Grid partitioning","title":"Internal API","text":"","category":"section"},{"location":"partitioning/","page":"Grid partitioning","title":"Grid partitioning","text":"These functions & methods are neither exported nor public.","category":"page"},{"location":"partitioning/","page":"Grid partitioning","title":"Grid partitioning","text":"ExtendableGrids.trivial_partitioning!\nExtendableGrids.trivial_partitioning\nExtendableGrids.instantiate(grid::ExtendableGrid, ::Type{PColorPartitions})\nExtendableGrids.instantiate(grid::ExtendableGrid, ::Type{PartitionCells})\nExtendableGrids.instantiate(grid::ExtendableGrid, ::Type{PartitionBFaces})\nExtendableGrids.instantiate(grid::ExtendableGrid, ::Type{PartitionNodes})\nExtendableGrids.partgraph\nExtendableGrids.dopartition\nExtendableGrids.reorder_cells\nExtendableGrids.induce_node_partitioning!\nExtendableGrids.induce_edge_partitioning!","category":"page"},{"location":"partitioning/#ExtendableGrids.trivial_partitioning!","page":"Grid partitioning","title":"ExtendableGrids.trivial_partitioning!","text":"trivial_partitioning!(grid)\n\n\n(internal) Create trivial partitioning: the whole grid is partition #1 with just one color.\n\n\n\n\n\n","category":"function"},{"location":"partitioning/#ExtendableGrids.trivial_partitioning","page":"Grid partitioning","title":"ExtendableGrids.trivial_partitioning","text":"trivial_partitioning(npart, nitems)\n\n\n(internal) Create a trivial partitioning such that all items fall in the first of nparts\n\n\n\n\n\n","category":"function"},{"location":"partitioning/#ExtendableGrids.instantiate-Tuple{ExtendableGrid, Type{PColorPartitions}}","page":"Grid partitioning","title":"ExtendableGrids.instantiate","text":"instantiate(grid::ExtendableGrid, ::Type{PColorPartitions})\n\nIf not given otherwise, instantiate partition data with trivial partitioning.\n\n\n\n\n\n","category":"method"},{"location":"partitioning/#ExtendableGrids.instantiate-Tuple{ExtendableGrid, Type{PartitionCells}}","page":"Grid partitioning","title":"ExtendableGrids.instantiate","text":"instantiate(grid::ExtendableGrid, ::Type{PartitionCells})\n\nIf not given otherwise, instantiate partition data with trivial partitioning.\n\n\n\n\n\n","category":"method"},{"location":"partitioning/#ExtendableGrids.instantiate-Tuple{ExtendableGrid, Type{PartitionBFaces}}","page":"Grid partitioning","title":"ExtendableGrids.instantiate","text":"instantiate(grid::ExtendableGrid, ::Type{PartitionBFaces})\n\nIf not given otherwise, instantiate partition data with trivial partitioning.\n\n\n\n\n\n","category":"method"},{"location":"partitioning/#ExtendableGrids.instantiate-Tuple{ExtendableGrid, Type{PartitionNodes}}","page":"Grid partitioning","title":"ExtendableGrids.instantiate","text":"instantiate(grid::ExtendableGrid, ::Type{PartitionNodes})\n\nIf not given otherwise, instantiate partition data with trivial partitioning.\n\n\n\n\n\n","category":"method"},{"location":"partitioning/#ExtendableGrids.partgraph","page":"Grid partitioning","title":"ExtendableGrids.partgraph","text":"partgraph(cellpartitions, ncellpartitions, cellcelladj)\n\n\n(internal) Create neigbourhood graph for given partitioning.\n\n\n\n\n\n","category":"function"},{"location":"partitioning/#ExtendableGrids.dopartition","page":"Grid partitioning","title":"ExtendableGrids.dopartition","text":"dopartition(grid, alg)\n\n\n(Internal utility function) Core function for partitioning grid cells which dispatches over partitioning algorithms. Partitioning extensions should add methods to this function.\n\n\n\n\n\n","category":"function"},{"location":"partitioning/#ExtendableGrids.reorder_cells","page":"Grid partitioning","title":"ExtendableGrids.reorder_cells","text":"reorder_cells(\n grid,\n cellpartitions,\n ncellpartitions,\n colpart\n)\n\n\n(Internal utility function) Create cell permutation such that all cells belonging to one partition are numbered contiguously, return grid with reordered cells.\n\n\n\n\n\n","category":"function"},{"location":"partitioning/#ExtendableGrids.induce_node_partitioning!","page":"Grid partitioning","title":"ExtendableGrids.induce_node_partitioning!","text":"induce_node_partitioning!(\n grid,\n cn,\n nc;\n trivial,\n keep_nodepermutation\n)\n\n\n(internal) Induce node partitioning from cell partitioning of grid. The algorithm assumes that nodes get the partition number from the partition numbers of the cells having this node in common. If these are differnt, the highest number is taken.\n\nNode partitioning should support parallel matrix-vector products with SparseMatrixCSC. The current algorithm assumes that nodes get the partition number from the partition numbers of the cells having this node in common. If these are differnt, the highest number is taken.\n\nSimply inducing node partition numbers from cell partition numbers does not always fulfill the condition that there is no node which is neigbour of nodes from two different partition with the same color.\n\nThis situation is detected and corrected by joining respective critical partitions, sacrificing a bit of parallel efficiency for correctness.\n\n\n\n\n\n","category":"function"},{"location":"partitioning/#ExtendableGrids.induce_edge_partitioning!","page":"Grid partitioning","title":"ExtendableGrids.induce_edge_partitioning!","text":"induce_edge_partitioning!(grid; trivial)\n\n\n(internal) Induce edge partitioning from cell partitioning of grid. The algorithm assumes that nodes get the partition number from the partition numbers of the cells having this node in common. If these are differnt, the highest number is taken.\n\nThis method triggers creation of rather complex edge information and should be called only if this information is really necessary.\n\n\n\n\n\n","category":"function"},{"location":"tdict/#The-TDict-interface-pattern","page":"The TDict interface pattern","title":"The TDict interface pattern","text":"","category":"section"},{"location":"tdict/","page":"The TDict interface pattern","title":"The TDict interface pattern","text":"Here we describe the idea behind the data structure used in this package. TDict means: extendable containers with type stable content access and lazy content creation via the Julia type system.","category":"page"},{"location":"tdict/#Problem-to-be-addressed","page":"The TDict interface pattern","title":"Problem to be addressed","text":"","category":"section"},{"location":"tdict/","page":"The TDict interface pattern","title":"The TDict interface pattern","text":"In certain contexts it is desirable to use containers with core components which are user extendable and allow for type stable component acces. Moreover, some components are necessary on demand only, so they should be created lazily. Furthermore, there should be a kind of safety protocol which prevents errors from typos in component names etc.","category":"page"},{"location":"tdict/","page":"The TDict interface pattern","title":"The TDict interface pattern","text":"Julia default data structures do not provide these properties.","category":"page"},{"location":"tdict/#struct","page":"The TDict interface pattern","title":"struct","text":"","category":"section"},{"location":"tdict/","page":"The TDict interface pattern","title":"The TDict interface pattern","text":"Julia structs with proper field type annotations guarantee type stability\nJulia structs are not extendable, fields and their types are fixed upon definition\nIf we don't fix types of struct fields they become Any and a source for type instability\nThe situation could be fixed if getfield could be overloaded but it cant't","category":"page"},{"location":"tdict/#Dict","page":"The TDict interface pattern","title":"Dict","text":"","category":"section"},{"location":"tdict/","page":"The TDict interface pattern","title":"The TDict interface pattern","text":"Plain Dicts with flexible value types are a source of type instability\nDicts with strings as keys needs a meta protocol to handle semantics of keys which at the end probably hinges on string comparison which will make things slow\nDicts with symbols as keys still need this meta protocol\nSame for the implementation of a lazy evaluation protocol\nIf a dict contains components of different types, component access will not be typestable","category":"page"},{"location":"tdict/#Proposed-solution:","page":"The TDict interface pattern","title":"Proposed solution:","text":"","category":"section"},{"location":"tdict/","page":"The TDict interface pattern","title":"The TDict interface pattern","text":"Harness the power of the Julia type system: ","category":"page"},{"location":"tdict/","page":"The TDict interface pattern","title":"The TDict interface pattern","text":"Use a struct containing a Dict with DataType as keys. Every key is a type.\nUse type hierarchies to manage different value classes\nUse the type system to dispatch between getindex/setindex! methods for keys\nExtension requires declaring new types, keys can be only existing types almost removing typos as sources for errors\nLazy extension is managed bye an instantiate method called by getindex if necessary\nComponent access is made type stable by type dispatchedgetindex methods\nComponent insertion is made safe by having setindex! calling a veryform method","category":"page"},{"location":"tdict/#Pros","page":"The TDict interface pattern","title":"Pros","text":"","category":"section"},{"location":"tdict/","page":"The TDict interface pattern","title":"The TDict interface pattern","text":"See above ...","category":"page"},{"location":"tdict/#Cons","page":"The TDict interface pattern","title":"Cons","text":"","category":"section"},{"location":"tdict/","page":"The TDict interface pattern","title":"The TDict interface pattern","text":"Implemented using a Dict, so access is inherently slower than access to a component of a struct. Therefore it is not well suited for inner loops.","category":"page"},{"location":"extendablegrid/#Extendable-grid","page":"Extendable grid","title":"Extendable grid","text":"","category":"section"},{"location":"extendablegrid/","page":"Extendable grid","title":"Extendable grid","text":"An ExtendableGrid in form of a dictionary with types as keys and type stable value access. This means that grid components are accessed as dict entries, e.g. grid[Coordinates] . The rationale of this approach is explained here.","category":"page"},{"location":"extendablegrid/#Notations","page":"Extendable grid","title":"Notations","text":"","category":"section"},{"location":"extendablegrid/","page":"Extendable grid","title":"Extendable grid","text":"A grid is assumed to be a subset of components of a polyhedral complex in d-dimensional space. We distinguish the following element classes characterized by their dimension:","category":"page"},{"location":"extendablegrid/","page":"Extendable grid","title":"Extendable grid","text":"Element class Meaning\nNode 0-dimensional node\nEdge 1-dimensional line connecting two neigboring nodes\nFace codimension 1 object separating a cell from outer space or neigboring cell\nCell codimension 0 object\nBFace Face situated at inner or domain boundary\nRegion number to be used to characterize subdomains, contacts etc.","category":"page"},{"location":"extendablegrid/#Grid-components","page":"Extendable grid","title":"Grid components","text":"","category":"section"},{"location":"extendablegrid/","page":"Extendable grid","title":"Extendable grid","text":"Grid components are accessed like Dict entries, the keys must be subtypes of AbstractGridComponent.","category":"page"},{"location":"extendablegrid/#Basic-set-of-grid-components","page":"Extendable grid","title":"Basic set of grid components","text":"","category":"section"},{"location":"extendablegrid/","page":"Extendable grid","title":"Extendable grid","text":"Upon construction, an ExtendableGrid needs to be provided with the basic set of grid components denoted by the following component type keys:","category":"page"},{"location":"extendablegrid/","page":"Extendable grid","title":"Extendable grid","text":"Component type key Meaning\nCoordinates Coordinates of the vertices of the grid cells\nCellNodes Adjacency describing the nodes of grid cell\nCellGeometries Abstract array of subtypes of AbstractElementGeometry describing the geometry of each cell\nCellRegions Abstract array of integers describing region numbers\nBFaceNodes Adjacency structure describing the nodes corresponding to each grid boundary face\nBFaceGeometries Abstract array of subtypes of AbstractElementGeometry describing the geometry of each boundary face\nBFaceRegions Abstract array of integers describig region numbers\nCoordinateSystem Abstract type describing the coordinate system to be used","category":"page"},{"location":"extendablegrid/#Hierarchy-of-component-type-keys","page":"Extendable grid","title":"Hierarchy of component type keys","text":"","category":"section"},{"location":"extendablegrid/","page":"Extendable grid","title":"Extendable grid","text":"The list of components can be printed using the gridcomponents method.","category":"page"},{"location":"extendablegrid/","page":"Extendable grid","title":"Extendable grid","text":"using ExtendableGrids # hide\ngridcomponents() #hide","category":"page"},{"location":"extendablegrid/#Additional-components","page":"Extendable grid","title":"Additional components","text":"","category":"section"},{"location":"extendablegrid/","page":"Extendable grid","title":"Extendable grid","text":"Additional components can be added by defining a subtype of AbstractGridComponent or a fitting subtype thereof, and assigning the value to the corresponding Dict entry:","category":"page"},{"location":"extendablegrid/","page":"Extendable grid","title":"Extendable grid","text":"using ExtendableGrids # hide\ng=simplexgrid([1,2,3,4.0])\nabstract type MyComponent <: AbstractGridComponent end\ng[MyComponent]=13\nshow(g)","category":"page"},{"location":"extendablegrid/","page":"Extendable grid","title":"Extendable grid","text":"Alternatively, component creation can be perfomed lazily. For this purpose one needs to define an instantiate method:","category":"page"},{"location":"extendablegrid/","page":"Extendable grid","title":"Extendable grid","text":"using ExtendableGrids # hide\nabstract type NodeCells <: AbstractGridAdjacency end\nExtendableGrids.instantiate(grid, ::Type{NodeCells})=atranspose(grid[CellNodes])\ng=simplexgrid([1,2,3,4.0])\nshow(g[NodeCells])","category":"page"},{"location":"extendablegrid/#Grid-API","page":"Extendable grid","title":"Grid API","text":"","category":"section"},{"location":"extendablegrid/","page":"Extendable grid","title":"Extendable grid","text":"Modules = [ExtendableGrids]\nPages = [\"extendablegrid.jl\"]","category":"page"},{"location":"extendablegrid/#ExtendableGrids.ElementInfo","page":"Extendable grid","title":"ExtendableGrids.ElementInfo","text":"const ElementInfo{T}=Union{Vector{T},VectorOfConstants{T}}\n\nUnion type for element information arrays. If all elements have the same information, it can be stored in an economical form as a VectorOfConstants.\n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.AbstractElementGeometries","page":"Extendable grid","title":"ExtendableGrids.AbstractElementGeometries","text":"abstract type AbstractElementGeometries <: AbstractGridComponent\n\nArray of element geometry information. \n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.AbstractElementRegions","page":"Extendable grid","title":"ExtendableGrids.AbstractElementRegions","text":"abstract type AbstractElementRegions <: AbstractGridComponent\n\nArray of element region number information. \n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.AbstractGridAdjacency","page":"Extendable grid","title":"ExtendableGrids.AbstractGridAdjacency","text":"abstract type AbstractGridAdjacency <: AbstractGridComponent\n\nAny kind of adjacency between grid components\n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.AbstractGridComponent","page":"Extendable grid","title":"ExtendableGrids.AbstractGridComponent","text":"abstract type AbstractGridComponent <: AbstractExtendableGridApexType\n\nApex type for grid components.\n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.AbstractGridFloatArray1D","page":"Extendable grid","title":"ExtendableGrids.AbstractGridFloatArray1D","text":"abstract type AbstractGridFloatArray1D <: AbstractGridComponent\n\n1D Array of floating point data\n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.AbstractGridFloatArray2D","page":"Extendable grid","title":"ExtendableGrids.AbstractGridFloatArray2D","text":"abstract type AbstractGridFloatArray2D <: AbstractGridComponent\n\n2D Array of floating point data\n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.AbstractGridFloatConstant","page":"Extendable grid","title":"ExtendableGrids.AbstractGridFloatConstant","text":"abstract type AbstractGridFloatConstant <: AbstractGridComponent\n\nFloating point number\n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.AbstractGridIntegerArray1D","page":"Extendable grid","title":"ExtendableGrids.AbstractGridIntegerArray1D","text":"abstract type AbstractGridIntegerArray1D <: AbstractGridComponent\n\n1D Array of interger data\n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.AbstractGridIntegerArray2D","page":"Extendable grid","title":"ExtendableGrids.AbstractGridIntegerArray2D","text":"abstract type AbstractGridIntegerArray2D <: AbstractGridComponent\n\n2D Array of integer data\n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.AbstractGridIntegerConstant","page":"Extendable grid","title":"ExtendableGrids.AbstractGridIntegerConstant","text":"abstract type AbstractGridIntegerConstant <: AbstractGridComponent\n\nInteger number\n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.BEdgeRegions","page":"Extendable grid","title":"ExtendableGrids.BEdgeRegions","text":"abstract type BEdgeRegions <: AbstractElementRegions\n\nBoundary edge region number per boundary edge\n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.BFaceGeometries","page":"Extendable grid","title":"ExtendableGrids.BFaceGeometries","text":"Description of boundary face geometries\n\nabstract type BFaceGeometries <: AbstractElementGeometries\n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.BFaceNodes","page":"Extendable grid","title":"ExtendableGrids.BFaceNodes","text":"abstract type BFaceNodes <: AbstractGridAdjacency\n\nAdjacency describing nodes per grid boundary face\n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.BFaceRegions","page":"Extendable grid","title":"ExtendableGrids.BFaceRegions","text":"abstract type BFaceRegions <: AbstractElementRegions\n\nBoundary region number per boundary face\n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.CellGeometries","page":"Extendable grid","title":"ExtendableGrids.CellGeometries","text":"abstract type CellGeometries <: AbstractElementGeometries\n\nDescription of cell geometries\n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.CellNodes","page":"Extendable grid","title":"ExtendableGrids.CellNodes","text":"abstract type CellNodes <: AbstractGridAdjacency\n\nAdjacency describing nodes per grid cell\n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.CellRegions","page":"Extendable grid","title":"ExtendableGrids.CellRegions","text":"abstract type CellRegions <: AbstractElementRegions\n\nCell region number per cell\n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.CoordinateSystem","page":"Extendable grid","title":"ExtendableGrids.CoordinateSystem","text":"abstract type CoordinateSystem <: AbstractGridComponent\n\nCoordinate system\n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.Coordinates","page":"Extendable grid","title":"ExtendableGrids.Coordinates","text":"abstract type Coordinates <: AbstractGridFloatArray2D\n\nNode coordinates\n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.ExtendableGrid","page":"Extendable grid","title":"ExtendableGrids.ExtendableGrid","text":"mutable struct ExtendableGrid{Tc, Ti}\n\nGrid type wrapping Dict\n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.NumBEdgeRegions","page":"Extendable grid","title":"ExtendableGrids.NumBEdgeRegions","text":"abstract type NumBEdgeRegions <: ExtendableGrids.AbstractGridIntegerConstant\n\nNumber of boundary edge regions \n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.NumBFaceRegions","page":"Extendable grid","title":"ExtendableGrids.NumBFaceRegions","text":"abstract type NumBFaceRegions <: ExtendableGrids.AbstractGridIntegerConstant\n\nNumber of boundary face regions \n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#ExtendableGrids.NumCellRegions","page":"Extendable grid","title":"ExtendableGrids.NumCellRegions","text":"abstract type NumCellRegions <: ExtendableGrids.AbstractGridIntegerConstant\n\nNumber of cell regions\n\n\n\n\n\n","category":"type"},{"location":"extendablegrid/#Base.delete!-Tuple{ExtendableGrid, Type{<:AbstractGridComponent}}","page":"Extendable grid","title":"Base.delete!","text":"delete!(\n grid::ExtendableGrid,\n T::Type{<:AbstractGridComponent}\n) -> Dict{Type{<:AbstractGridComponent}, Any}\n\n\nRemove grid component\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#Base.get!-Tuple{ExtendableGrid, Type{<:AbstractGridComponent}}","page":"Extendable grid","title":"Base.get!","text":"get!(\n grid::ExtendableGrid,\n T::Type{<:AbstractGridComponent}\n) -> Any\n\n\nTo be called by getindex. This triggers lazy creation of non-existing gridcomponents\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#Base.getindex-Tuple{ExtendableGrid, Type{<:AbstractGridComponent}}","page":"Extendable grid","title":"Base.getindex","text":"Base.getindex(grid::ExtendableGrid,T::Type{<:AbstractGridComponent})\n\nGeneric method for obtaining grid component.\n\nThis method is mutating in the sense that non-existing grid components are created on demand.\n\nDue to the fact that components are stored as Any the return value triggers type instability. To prevent this, specialized methods must be (and are) defined.\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#Base.haskey-Tuple{ExtendableGrid, Any}","page":"Extendable grid","title":"Base.haskey","text":"haskey(g::ExtendableGrid, k) -> Bool\n\n\nCheck if key is in grid\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#Base.keys-Tuple{ExtendableGrid}","page":"Extendable grid","title":"Base.keys","text":"keys(\n g::ExtendableGrid\n) -> Base.KeySet{Type{<:AbstractGridComponent}, Dict{Type{<:AbstractGridComponent}, Any}}\n\n\nKeys in grid\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#Base.map-Union{Tuple{Ti}, Tuple{Tc}, Tuple{Function, ExtendableGrid{Tc, Ti}}} where {Tc, Ti}","page":"Extendable grid","title":"Base.map","text":"map(f,grid)\n\nMap function f returning a number onto node coordinates of grid. Returns a vector of length corresponding to the number of nodes of the grid. The function can take either a vector or a numbers as arguments. E.g. for a two-dimensional grid g, both\n\n map(X->X[1]+X[2], g)\n\nand\n\n map((x,y)->x+y, g)\n\nare possible.\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#Base.setindex!-Tuple{ExtendableGrid, Any, Type{<:AbstractGridComponent}}","page":"Extendable grid","title":"Base.setindex!","text":"setindex!(\n grid::ExtendableGrid,\n v,\n T::Type{<:AbstractGridComponent}\n) -> Any\n\n\nSet new grid component\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#ExtendableGrids.coord_type-Union{Tuple{ExtendableGrid{Tc, Ti}}, Tuple{Ti}, Tuple{Tc}} where {Tc, Ti}","page":"Extendable grid","title":"ExtendableGrids.coord_type","text":"coord_type(grid)\n\n\nType of coordinates in grid\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#ExtendableGrids.dim_grid-Tuple{ExtendableGrid}","page":"Extendable grid","title":"ExtendableGrids.dim_grid","text":"dim_grid(grid)\n\n\nGrid dimension dimension of grid (larges element dimension)\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#ExtendableGrids.dim_space-Tuple{ExtendableGrid}","page":"Extendable grid","title":"ExtendableGrids.dim_space","text":"dim_space(grid)\n\n\nSpace dimension of grid\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#ExtendableGrids.gridcomponents-Tuple{}","page":"Extendable grid","title":"ExtendableGrids.gridcomponents","text":"gridcomponents()\n\n\nPrint the hierarchy of grid component key types (subtypes of AbstractGridComponent. This includes additionally user defined subptypes.\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#ExtendableGrids.index_type-Union{Tuple{ExtendableGrid{Tc, Ti}}, Tuple{Ti}, Tuple{Tc}} where {Tc, Ti}","page":"Extendable grid","title":"ExtendableGrids.index_type","text":"index_type(grid)\n\n\nType of indices\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#ExtendableGrids.instantiate","page":"Extendable grid","title":"ExtendableGrids.instantiate","text":"\"Hook\" for methods instantiating lazy components. \n\n\n\n\n\n","category":"function"},{"location":"extendablegrid/#ExtendableGrids.instantiate-Tuple{Any, Type{NumBEdgeRegions}}","page":"Extendable grid","title":"ExtendableGrids.instantiate","text":"instantiate(grid, _::Type{NumBEdgeRegions}) -> Any\n\n\nInstantiate number of boundary edge regions\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#ExtendableGrids.instantiate-Tuple{Any, Type{NumBFaceRegions}}","page":"Extendable grid","title":"ExtendableGrids.instantiate","text":"instantiate(grid, _::Type{NumBFaceRegions}) -> Any\n\n\nInstantiate number of bface regions\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#ExtendableGrids.instantiate-Tuple{Any, Type{NumCellRegions}}","page":"Extendable grid","title":"ExtendableGrids.instantiate","text":"instantiate(grid, _::Type{NumCellRegions}) -> Any\n\n\nInstantiate number of cell regions\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#ExtendableGrids.isconsistent-Tuple{Any}","page":"Extendable grid","title":"ExtendableGrids.isconsistent","text":"isconsistent(grid; warnonly=false)\n\nCheck consistency of grid: a grid is consistent if\n\nGrid has no dangling nodes\n... more to be added\n\nIf grid is consistent, return true, otherwise throw an error, or, if warnoly==true, return false.\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#ExtendableGrids.num_bedgeregions-Tuple{ExtendableGrid}","page":"Extendable grid","title":"ExtendableGrids.num_bedgeregions","text":"num_bedgeregions(grid::ExtendableGrid) -> Any\n\n\nMaximum boundary edge region numbers\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#ExtendableGrids.num_bedges-Tuple{ExtendableGrid}","page":"Extendable grid","title":"ExtendableGrids.num_bedges","text":"num_bedges(grid::ExtendableGrid) -> Int64\n\n\nNumber of boundary edges in grid.\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#ExtendableGrids.num_bfaceregions-Tuple{ExtendableGrid}","page":"Extendable grid","title":"ExtendableGrids.num_bfaceregions","text":"num_bfaceregions(grid::ExtendableGrid) -> Any\n\n\nMaximum boundary face region numbers\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#ExtendableGrids.num_bfaces-Tuple{ExtendableGrid}","page":"Extendable grid","title":"ExtendableGrids.num_bfaces","text":"num_bfaces(grid::ExtendableGrid) -> Int64\n\n\nNumber of boundary faces in grid.\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#ExtendableGrids.num_cellregions-Tuple{ExtendableGrid}","page":"Extendable grid","title":"ExtendableGrids.num_cellregions","text":"num_cellregions(grid::ExtendableGrid) -> Any\n\n\nMaximum cell region number\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#ExtendableGrids.num_cells-Tuple{ExtendableGrid}","page":"Extendable grid","title":"ExtendableGrids.num_cells","text":"num_cells(grid::ExtendableGrid) -> Int64\n\n\nNumber of cells in grid\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#ExtendableGrids.num_nodes-Tuple{ExtendableGrid}","page":"Extendable grid","title":"ExtendableGrids.num_nodes","text":"num_nodes(grid)\n\n\nNumber of nodes in grid\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#ExtendableGrids.seemingly_equal-Tuple{AbstractArray, AbstractArray}","page":"Extendable grid","title":"ExtendableGrids.seemingly_equal","text":"seemingly_equal(array1, array2)\n\n\nCheck for seeming equality of two arrays by random sample.\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#ExtendableGrids.seemingly_equal-Tuple{ExtendableGrid, ExtendableGrid}","page":"Extendable grid","title":"ExtendableGrids.seemingly_equal","text":"seemingly_equal(grid1, grid2; sort=false, confidence=:full\n\nRecursively check seeming equality of two grids. Seemingly means that long arrays are only compared via random samples.\n\nKeyword args:\n\nsort: if true, sort grid points\nconfidence: Confidence level: \n:low : Point numbers etc are the same\n:full : all arrays are equal (besides the coordinate array, the arrays only have to be equal up to permutations)\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#ExtendableGrids.update!-Tuple{ExtendableGrid, Type{<:AbstractGridComponent}}","page":"Extendable grid","title":"ExtendableGrids.update!","text":"update!(\n grid::ExtendableGrid,\n T::Type{<:AbstractGridComponent}\n) -> Any\n\n\nReinstantiate grid component (only if it exists)\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#ExtendableGrids.veryform-Tuple{ExtendableGrid, Any, Type{<:AbstractGridComponent}}","page":"Extendable grid","title":"ExtendableGrids.veryform","text":"veryform(\n grid::ExtendableGrid,\n v,\n _::Type{<:AbstractGridComponent}\n) -> Any\n\n\nDefault veryform method.\n\n\"veryform\" means \"verify and/or transform\" and is called to check and possibly transform components to be added to the grid via setindex!.\n\nThe default method just passes data through.\n\n\n\n\n\n","category":"method"},{"location":"extendablegrid/#ExtendableGrids.veryform-Union{Tuple{Ti}, Tuple{Tc}, Tuple{ExtendableGrid{Tc, Ti}, Any, Type{<:AbstractGridAdjacency}}} where {Tc, Ti}","page":"Extendable grid","title":"ExtendableGrids.veryform","text":"veryform(grid::ExtendableGrid{Tc,Ti},v,T::Type{<:AbstractGridAdjacency}) where{Tc,Ti}\n\nCheck proper type of adjacencies upon insertion\n\n\n\n\n\n","category":"method"},{"location":"typehierarchy/#Type-hierarchy","page":"Type hierarchy","title":"Type hierarchy","text":"","category":"section"},{"location":"typehierarchy/","page":"Type hierarchy","title":"Type hierarchy","text":"The package defines a hierarchy of abstract types to handle grid compoments. The full tree is listed here:","category":"page"},{"location":"typehierarchy/","page":"Type hierarchy","title":"Type hierarchy","text":"using ExtendableGrids # hide\ntypehierarchy() #hide","category":"page"},{"location":"typehierarchy/#API","page":"Type hierarchy","title":"API","text":"","category":"section"},{"location":"typehierarchy/","page":"Type hierarchy","title":"Type hierarchy","text":"Modules = [ExtendableGrids]\nPages = [\"typehierarchy.jl\"]","category":"page"},{"location":"typehierarchy/#ExtendableGrids.AbstractExtendableGridApexType","page":"Type hierarchy","title":"ExtendableGrids.AbstractExtendableGridApexType","text":"abstract type AbstractExtendableGridApexType\n\nApex type of all abstract types in this hierarchy.\n\n\n\n\n\n","category":"type"},{"location":"typehierarchy/#AbstractTrees.children-Tuple{Type}","page":"Type hierarchy","title":"AbstractTrees.children","text":"children(T::Type) -> Union{Vector{Type}, Vector{Any}}\n\n\nDefine children for types.\n\n\n\n\n\n","category":"method"},{"location":"typehierarchy/#ExtendableGrids.typehierarchy-Tuple{}","page":"Type hierarchy","title":"ExtendableGrids.typehierarchy","text":"typehierarchy()\n\n\nPrint complete type hierachy for ExtendableGrids\n\n\n\n\n\n","category":"method"},{"location":"script_examples/examples2d/#2D-Grid-examples","page":"examples2d","title":"2D Grid examples","text":"","category":"section"},{"location":"script_examples/examples2d/","page":"examples2d","title":"examples2d","text":"using Triangulate, ExtendableGrids, SimplexGridFactory","category":"page"},{"location":"script_examples/examples2d/#Rectangle","page":"examples2d","title":"Rectangle","text":"","category":"section"},{"location":"script_examples/examples2d/","page":"examples2d","title":"examples2d","text":"function rectangle()\n X = collect(0:0.05:1)\n Y = collect(0:0.05:1)\n simplexgrid(X, X)\nend","category":"page"},{"location":"script_examples/examples2d/","page":"examples2d","title":"examples2d","text":"(Image: )","category":"page"},{"location":"script_examples/examples2d/#Rectangle-with-local-refinement","page":"examples2d","title":"Rectangle with local refinement","text":"","category":"section"},{"location":"script_examples/examples2d/","page":"examples2d","title":"examples2d","text":"function rectangle_localref()\n hmin = 0.01\n hmax = 0.1\n XLeft = geomspace(0.0, 0.5, hmax, hmin)\n XRight = geomspace(0.5, 1.0, hmin, hmax)\n X = glue(XLeft, XRight)\n simplexgrid(X, X)\nend","category":"page"},{"location":"script_examples/examples2d/","page":"examples2d","title":"examples2d","text":"(Image: )","category":"page"},{"location":"script_examples/examples2d/#Rectangle-with-multiple-regions","page":"examples2d","title":"Rectangle with multiple regions","text":"","category":"section"},{"location":"script_examples/examples2d/","page":"examples2d","title":"examples2d","text":"function rectangle_multiregion()\n X = collect(0:0.05:1)\n Y = collect(0:0.05:1)\n grid = simplexgrid(X, Y)\n cellmask!(grid, [0.0, 0.0], [1.0, 0.5], 3)\n bfacemask!(grid, [0.0, 0.0], [0.0, 0.5], 5)\n bfacemask!(grid, [1.0, 0.0], [1.0, 0.5], 6)\n bfacemask!(grid, [0.0, 0.5], [1.0, 0.5], 7)\nend","category":"page"},{"location":"script_examples/examples2d/","page":"examples2d","title":"examples2d","text":"(Image: )","category":"page"},{"location":"script_examples/examples2d/#Subgrid-from-rectangle","page":"examples2d","title":"Subgrid from rectangle","text":"","category":"section"},{"location":"script_examples/examples2d/","page":"examples2d","title":"examples2d","text":"function rectangle_subgrid()\n X = collect(0:0.05:1)\n Y = collect(0:0.05:1)\n grid = simplexgrid(X, Y)\n rect!(grid, [0.25, 0.25], [0.75, 0.75]; region = 2, bregion = 5)\n subgrid(grid, [1])\nend","category":"page"},{"location":"script_examples/examples2d/","page":"examples2d","title":"examples2d","text":"(Image: )","category":"page"},{"location":"script_examples/examples2d/#Rect2d-with-bregion-function","page":"examples2d","title":"Rect2d with bregion function","text":"","category":"section"},{"location":"script_examples/examples2d/","page":"examples2d","title":"examples2d","text":"Here, we use function as bregion parameter - this allows to have no bfaces at the interface between the two rects.","category":"page"},{"location":"script_examples/examples2d/","page":"examples2d","title":"examples2d","text":"function rect2d_bregion_function()\n X = collect(0:0.5:10)\n Y = collect(0:0.5:10)\n grid = simplexgrid(X, Y)\n rect!(grid, [5, 4], [9, 6]; region = 2, bregions = [5, 5, 5, 5])\n\n rect!(grid, [4, 2], [5, 8]; region = 2, bregion = cur -> cur == 5 ? 0 : 8)\n\n subgrid(grid, [2])\nend","category":"page"},{"location":"script_examples/examples2d/","page":"examples2d","title":"examples2d","text":"(Image: )","category":"page"},{"location":"script_examples/examples2d/","page":"examples2d","title":"examples2d","text":"function sorted_subgrid(; maxvolume = 0.01)\n builder = SimplexGridBuilder(; Generator = Triangulate)\n\n p1 = point!(builder, 0, 0)\n p2 = point!(builder, 1, 0)\n p3 = point!(builder, 1, 2)\n p4 = point!(builder, 0, 1)\n p5 = point!(builder, -1, 2)\n\n facetregion!(builder, 1)\n facet!(builder, p1, p2)\n facetregion!(builder, 2)\n facet!(builder, p2, p3)\n facetregion!(builder, 3)\n facet!(builder, p3, p4)\n facetregion!(builder, 4)\n facet!(builder, p4, p5)\n facetregion!(builder, 5)\n facet!(builder, p5, p1)\n\n g = simplexgrid(builder; maxvolume)\n sg = subgrid(g, [2]; boundary = true, transform = (a, b) -> a[1] = b[2])\n f = map((x, y) -> sin(3x) * cos(3y), g)\n sf = view(f, sg)\n g, sg, sf\nend","category":"page"},{"location":"script_examples/examples2d/","page":"examples2d","title":"examples2d","text":"(Image: )","category":"page"},{"location":"script_examples/examples2d/#CI-callbacks-for-[ExampleJuggler.jl](https://github.com/j-fu/ExampleJuggler.jl)","page":"examples2d","title":"CI callbacks for ExampleJuggler.jl","text":"","category":"section"},{"location":"script_examples/examples2d/","page":"examples2d","title":"examples2d","text":"Unit tests","category":"page"},{"location":"script_examples/examples2d/","page":"examples2d","title":"examples2d","text":"using Test\nfunction runtests()\n @test numbers_match(rectangle(), 441, 800, 80)\n @test numbers_match(rectangle_localref(), 729, 1352, 104)\n @test numbers_match(rectangle_multiregion(), 441, 800, 100)\n @test numbers_match(rectangle_subgrid(), 360, 600, 120)\n @test numbers_match(rect2d_bregion_function(), 79, 112, 44)\n\n g, sg, sf = sorted_subgrid()\n @test numbers_match(g, 187, 306, 66)\n @test numbers_match(sg, 17, 16, 0)\n @test issorted(view(sg[Coordinates], 1, :))\nend","category":"page"},{"location":"script_examples/examples2d/","page":"examples2d","title":"examples2d","text":"Plot generation","category":"page"},{"location":"script_examples/examples2d/","page":"examples2d","title":"examples2d","text":"using GridVisualize\nfunction generateplots(picdir; Plotter = nothing)\n if isdefined(Plotter, :Makie)\n size = (300, 300)\n Plotter.save(joinpath(picdir, \"rectangle.png\"), gridplot(rectangle(); Plotter, size))\n Plotter.save(joinpath(picdir, \"rectangle_localref.png\"), gridplot(rectangle_localref(); Plotter, size))\n Plotter.save(joinpath(picdir, \"rectangle_multiregion.png\"), gridplot(rectangle_multiregion(); Plotter, size))\n Plotter.save(joinpath(picdir, \"rectangle_subgrid.png\"), gridplot(rectangle_subgrid(); Plotter, size))\n Plotter.save(joinpath(picdir, \"rect2d_bregion_function.png\"), gridplot(rect2d_bregion_function(); Plotter, size))\n\n g, sg, sf = sorted_subgrid()\n p = GridVisualizer(; Plotter, layout = (1, 3), size = (800, 300))\n gridplot!(p[1, 1], g)\n gridplot!(p[1, 2], sg)\n scalarplot!(p[1, 3], sg, sf)\n fname = joinpath(picdir, \"sorted_subgrid.png\")\n Plotter.save(fname, reveal(p))\n end\nend","category":"page"},{"location":"script_examples/examples2d/","page":"examples2d","title":"examples2d","text":"","category":"page"},{"location":"script_examples/examples2d/","page":"examples2d","title":"examples2d","text":"This page was generated using Literate.jl.","category":"page"},{"location":"vectorofconstants/#Vector-of-constants","page":"Vector of constants","title":"Vector of constants","text":"","category":"section"},{"location":"vectorofconstants/","page":"Vector of constants","title":"Vector of constants","text":"Datatype to store vector with a constant value.","category":"page"},{"location":"vectorofconstants/#API","page":"Vector of constants","title":"API","text":"","category":"section"},{"location":"vectorofconstants/","page":"Vector of constants","title":"Vector of constants","text":"Modules = [ExtendableGrids]\nPages = [\"vectorofconstants.jl\"]","category":"page"},{"location":"vectorofconstants/#ExtendableGrids.VectorOfConstants","page":"Vector of constants","title":"ExtendableGrids.VectorOfConstants","text":"struct VectorOfConstants{T, Tl} <: AbstractArray{T, 1}\n\nVector with constant value\n\n\n\n\n\n","category":"type"},{"location":"vectorofconstants/#Base.getindex-Tuple{VectorOfConstants, Any}","page":"Vector of constants","title":"Base.getindex","text":"getindex(v::VectorOfConstants, i) -> Any\n\n\nAccess\n\n\n\n\n\n","category":"method"},{"location":"vectorofconstants/#Base.iterate-Tuple{VectorOfConstants, Any}","page":"Vector of constants","title":"Base.iterate","text":"iterate(\n v::VectorOfConstants,\n state\n) -> Union{Nothing, Tuple{Any, Any}}\n\n\nIterator\n\n\n\n\n\n","category":"method"},{"location":"vectorofconstants/#Base.iterate-Tuple{VectorOfConstants}","page":"Vector of constants","title":"Base.iterate","text":"iterate(v::VectorOfConstants) -> Tuple{Any, Int64}\n\n\nIterator\n\n\n\n\n\n","category":"method"},{"location":"vectorofconstants/#Base.length-Tuple{VectorOfConstants}","page":"Vector of constants","title":"Base.length","text":"length(v::VectorOfConstants) -> Any\n\n\nLength\n\n\n\n\n\n","category":"method"},{"location":"vectorofconstants/#Base.size-Tuple{VectorOfConstants}","page":"Vector of constants","title":"Base.size","text":"size(v::VectorOfConstants) -> Tuple{Any}\n\n\nSize\n\n\n\n\n\n","category":"method"},{"location":"vectorofconstants/#Base.unique-Tuple{VectorOfConstants}","page":"Vector of constants","title":"Base.unique","text":"unique(v::VectorOfConstants) -> Vector\n\n\nShortcut for unique\n\n\n\n\n\n","category":"method"},{"location":"elementgeometry/#Element-geometry","page":"Element geometry","title":"Element geometry","text":"","category":"section"},{"location":"elementgeometry/","page":"Element geometry","title":"Element geometry","text":"Element geometries are described via abstract types. The list of element geometries systems can be obtained with the elementgeometries method:","category":"page"},{"location":"elementgeometry/","page":"Element geometry","title":"Element geometry","text":"using ExtendableGrids # hide\nelementgeometries() #hide","category":"page"},{"location":"elementgeometry/#API","page":"Element geometry","title":"API","text":"","category":"section"},{"location":"elementgeometry/","page":"Element geometry","title":"Element geometry","text":"Modules = [ExtendableGrids]\nPages = [\"elementgeometry.jl\"]","category":"page"},{"location":"elementgeometry/#ExtendableGrids.AbstractElementGeometry","page":"Element geometry","title":"ExtendableGrids.AbstractElementGeometry","text":"abstract type AbstractElementGeometry <: AbstractExtendableGridApexType\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.AbstractElementGeometry0D","page":"Element geometry","title":"ExtendableGrids.AbstractElementGeometry0D","text":"abstract type AbstractElementGeometry0D <: AbstractElementGeometry\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.AbstractElementGeometry1D","page":"Element geometry","title":"ExtendableGrids.AbstractElementGeometry1D","text":"abstract type AbstractElementGeometry1D <: AbstractElementGeometry\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.AbstractElementGeometry2D","page":"Element geometry","title":"ExtendableGrids.AbstractElementGeometry2D","text":"abstract type AbstractElementGeometry2D <: AbstractElementGeometry\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.AbstractElementGeometry3D","page":"Element geometry","title":"ExtendableGrids.AbstractElementGeometry3D","text":"abstract type AbstractElementGeometry3D <: AbstractElementGeometry\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.AbstractElementGeometry4D","page":"Element geometry","title":"ExtendableGrids.AbstractElementGeometry4D","text":"abstract type AbstractElementGeometry4D <: AbstractElementGeometry\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.Circle2D","page":"Element geometry","title":"ExtendableGrids.Circle2D","text":"abstract type Circle2D <: AbstractElementGeometry2D\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.Edge1D","page":"Element geometry","title":"ExtendableGrids.Edge1D","text":"abstract type Edge1D <: AbstractElementGeometry1D\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.Hexagon2D","page":"Element geometry","title":"ExtendableGrids.Hexagon2D","text":"abstract type Hexagon2D <: Polygon2D\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.Hexahedron3D","page":"Element geometry","title":"ExtendableGrids.Hexahedron3D","text":"abstract type Hexahedron3D <: Polyhedron3D\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.HyperCube4D","page":"Element geometry","title":"ExtendableGrids.HyperCube4D","text":"abstract type HyperCube4D <: AbstractElementGeometry4D\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.Parallelepiped3D","page":"Element geometry","title":"ExtendableGrids.Parallelepiped3D","text":"abstract type Parallelepiped3D <: Hexahedron3D\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.Parallelogram2D","page":"Element geometry","title":"ExtendableGrids.Parallelogram2D","text":"abstract type Parallelogram2D <: Quadrilateral2D\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.Pentagon2D","page":"Element geometry","title":"ExtendableGrids.Pentagon2D","text":"abstract type Pentagon2D <: Polygon2D\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.Polychoron4D","page":"Element geometry","title":"ExtendableGrids.Polychoron4D","text":"abstract type Polychoron4D <: AbstractElementGeometry4D\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.Polygon2D","page":"Element geometry","title":"ExtendableGrids.Polygon2D","text":"abstract type Polygon2D <: AbstractElementGeometry2D\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.Polyhedron3D","page":"Element geometry","title":"ExtendableGrids.Polyhedron3D","text":"abstract type Polyhedron3D <: AbstractElementGeometry3D\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.Prism3D","page":"Element geometry","title":"ExtendableGrids.Prism3D","text":"abstract type Prism3D <: Polyhedron3D\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.Quadrilateral2D","page":"Element geometry","title":"ExtendableGrids.Quadrilateral2D","text":"abstract type Quadrilateral2D <: Polygon2D\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.Rectangle2D","page":"Element geometry","title":"ExtendableGrids.Rectangle2D","text":"abstract type Rectangle2D <: Parallelogram2D\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.RectangularCuboid3D","page":"Element geometry","title":"ExtendableGrids.RectangularCuboid3D","text":"abstract type RectangularCuboid3D <: Parallelepiped3D\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.Sphere3D","page":"Element geometry","title":"ExtendableGrids.Sphere3D","text":"abstract type Sphere3D <: AbstractElementGeometry3D\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.Tetrahedron3D","page":"Element geometry","title":"ExtendableGrids.Tetrahedron3D","text":"abstract type Tetrahedron3D <: Polyhedron3D\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.Triangle2D","page":"Element geometry","title":"ExtendableGrids.Triangle2D","text":"abstract type Triangle2D <: Polygon2D\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.TrianglePrism3D","page":"Element geometry","title":"ExtendableGrids.TrianglePrism3D","text":"abstract type TrianglePrism3D <: Prism3D\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.Vertex0D","page":"Element geometry","title":"ExtendableGrids.Vertex0D","text":"abstract type Vertex0D <: AbstractElementGeometry0D\n\n\n\n\n\n","category":"type"},{"location":"elementgeometry/#ExtendableGrids.dim_element-Tuple{Type{<:AbstractElementGeometry0D}}","page":"Element geometry","title":"ExtendableGrids.dim_element","text":"dim_element(_::Type{<:AbstractElementGeometry0D}) -> Int64\n\n\n\n\n\n\n","category":"method"},{"location":"elementgeometry/#ExtendableGrids.dim_element-Tuple{Type{<:AbstractElementGeometry1D}}","page":"Element geometry","title":"ExtendableGrids.dim_element","text":"dim_element(_::Type{<:AbstractElementGeometry1D}) -> Int64\n\n\n\n\n\n\n","category":"method"},{"location":"elementgeometry/#ExtendableGrids.dim_element-Tuple{Type{<:AbstractElementGeometry2D}}","page":"Element geometry","title":"ExtendableGrids.dim_element","text":"dim_element(_::Type{<:AbstractElementGeometry2D}) -> Int64\n\n\n\n\n\n\n","category":"method"},{"location":"elementgeometry/#ExtendableGrids.dim_element-Tuple{Type{<:AbstractElementGeometry3D}}","page":"Element geometry","title":"ExtendableGrids.dim_element","text":"dim_element(_::Type{<:AbstractElementGeometry3D}) -> Int64\n\n\n\n\n\n\n","category":"method"},{"location":"elementgeometry/#ExtendableGrids.dim_element-Tuple{Type{<:AbstractElementGeometry4D}}","page":"Element geometry","title":"ExtendableGrids.dim_element","text":"dim_element(_::Type{<:AbstractElementGeometry4D}) -> Int64\n\n\n\n\n\n\n","category":"method"},{"location":"elementgeometry/#ExtendableGrids.elementgeometries-Tuple{}","page":"Element geometry","title":"ExtendableGrids.elementgeometries","text":"elementgeometries()\n\n\nList supported element geometries.\n\n\n\n\n\n","category":"method"},{"location":"tokenstream/#Token-streams","page":"Token streams","title":"Token streams","text":"","category":"section"},{"location":"tokenstream/","page":"Token streams","title":"Token streams","text":"The TokenStream struct supports reading of tokenizable ASCII files","category":"page"},{"location":"tokenstream/#API","page":"Token streams","title":"API","text":"","category":"section"},{"location":"tokenstream/","page":"Token streams","title":"Token streams","text":"Modules = [ExtendableGrids]\nPages = [\"tokenstream.jl\"]","category":"page"},{"location":"tokenstream/#ExtendableGrids.TokenStream","page":"Token streams","title":"ExtendableGrids.TokenStream","text":"mutable struct TokenStream\n\nTokenstream allows to read tokenized data from file without keeping the file ocntent in memory.\n\ninput::IOStream: Input stream\n\ntokens::Vector{SubString{String}}: Array of current tokens kept in memory.\n\nitoken::Int64: Position of actual token in tokens array\n\nlineno::Int64: Line number in IOStream\n\ncomment::Char: Comment character\n\ndlm::Function: Function telling if given character is a delimiter.\n\n\n\n\n\n","category":"type"},{"location":"tokenstream/#ExtendableGrids.TokenStream-Tuple{IOStream}","page":"Token streams","title":"ExtendableGrids.TokenStream","text":"TokenStream(input::IOStream; comment, dlm) -> TokenStream\n\n\nCreate Tokenstream with IOStream argument.\n\n\n\n\n\n","category":"method"},{"location":"tokenstream/#ExtendableGrids.TokenStream-Tuple{String}","page":"Token streams","title":"ExtendableGrids.TokenStream","text":"TokenStream(filename::String; comment, dlm) -> TokenStream\n\n\nCreate Tokenstream with file name argument.\n\n\n\n\n\n","category":"method"},{"location":"tokenstream/#ExtendableGrids.UnexpectedTokenError","page":"Token streams","title":"ExtendableGrids.UnexpectedTokenError","text":"struct UnexpectedTokenError <: Exception\n\nError thrown when the token expected in expect! is not there.\n\nfound::String\nexpected::String\nlineno::Int64\n\n\n\n\n\n","category":"type"},{"location":"tokenstream/#Base.eof-Tuple{TokenStream}","page":"Token streams","title":"Base.eof","text":"eof(tks::TokenStream) -> Bool\n\n\nCheck if all tokens have been consumed.\n\n\n\n\n\n","category":"method"},{"location":"tokenstream/#ExtendableGrids.destruct!-Tuple{TokenStream}","page":"Token streams","title":"ExtendableGrids.destruct!","text":"destruct!(tks::TokenStream)\n\n\nTokenstream destructor should close input\n\n\n\n\n\n","category":"method"},{"location":"tokenstream/#ExtendableGrids.expecttoken-Tuple{TokenStream, String}","page":"Token streams","title":"ExtendableGrids.expecttoken","text":"expecttoken(tks::TokenStream, expected::String) -> Bool\n\n\nExpect keyword token.\n\nIf token is missing, an UnexpectedTokenError is thrown If the token has been found, reading will continue at the position after the token found.\n\n\n\n\n\n","category":"method"},{"location":"tokenstream/#ExtendableGrids.gettoken-Tuple{TokenStream}","page":"Token streams","title":"ExtendableGrids.gettoken","text":"gettoken(\n tks::TokenStream\n) -> Union{Nothing, SubString{String}}\n\n\nGet next token from tokenstream.\n\n\n\n\n\n","category":"method"},{"location":"tokenstream/#ExtendableGrids.trytoken-Tuple{TokenStream, String}","page":"Token streams","title":"ExtendableGrids.trytoken","text":"trytoken(tks::TokenStream, expected::String) -> Bool\n\n\nTry for keyword token.\n\nIt token is missing, the token read is put back into stream, a value of false is returned and the next try/gettoken command continues at the same position,\n\nOtherwise, true is returned, and reading continues after the token found.\n\n\n\n\n\n","category":"method"},{"location":"script_examples/gmsh/#Gmsh-examples","page":"gmsh","title":"Gmsh examples","text":"","category":"section"},{"location":"script_examples/gmsh/","page":"gmsh","title":"gmsh","text":"using ExtendableGrids\nusing Gmsh: gmsh","category":"page"},{"location":"script_examples/gmsh/","page":"gmsh","title":"gmsh","text":"Example t1 from the GMSH docs","category":"page"},{"location":"script_examples/gmsh/","page":"gmsh","title":"gmsh","text":"function gmsh_t1()\n gmsh.initialize()\n gmsh.option.setNumber(\"General.Terminal\", 1)\n gmsh.model.add(\"t1\")\n\n lc = 1e-2\n gmsh.model.geo.addPoint(0, 0, 0, lc, 1)\n gmsh.model.geo.addPoint(0.1, 0, 0, lc, 2)\n gmsh.model.geo.addPoint(0.1, 0.3, 0, lc, 3)\n\n p4 = gmsh.model.geo.addPoint(0, 0.3, 0, lc)\n\n gmsh.model.geo.addLine(1, 2, 1)\n gmsh.model.geo.addLine(3, 2, 2)\n gmsh.model.geo.addLine(3, p4, 3)\n gmsh.model.geo.addLine(4, 1, p4)\n\n gmsh.model.geo.addCurveLoop([4, 1, -2, 3], 1)\n gmsh.model.geo.addPlaneSurface([1], 1)\n\n gmsh.model.geo.synchronize()\n\n gmsh.model.addPhysicalGroup(0, [1, 2], 1)\n gmsh.model.addPhysicalGroup(1, [1, 2], 2)\n gmsh.model.addPhysicalGroup(2, [1], 6)\n\n gmsh.model.setPhysicalName(2, 6, \"My surface\")\n\n gmsh.model.mesh.generate(2)\n grid = ExtendableGrids.simplexgrid_from_gmsh(gmsh.model)\n gmsh.finalize()\n grid\nend","category":"page"},{"location":"script_examples/gmsh/","page":"gmsh","title":"gmsh","text":"(Image: )","category":"page"},{"location":"script_examples/gmsh/","page":"gmsh","title":"gmsh","text":"Example t4 from the GMSH docs","category":"page"},{"location":"script_examples/gmsh/","page":"gmsh","title":"gmsh","text":"function gmsh_t4()\n gmsh.initialize()\n\n gmsh.model.add(\"t4\")\n\n cm = 1e-02\n e1 = 4.5 * cm; e2 = 6 * cm / 2; e3 = 5 * cm / 2\n h1 = 5 * cm; h2 = 10 * cm; h3 = 5 * cm; h4 = 2 * cm; h5 = 4.5 * cm\n R1 = 1 * cm; R2 = 1.5 * cm; r = 1 * cm\n Lc1 = 0.01\n Lc2 = 0.003\n\n function hypot(a, b)\n return sqrt(a * a + b * b)\n end\n\n ccos = (-h5*R1 + e2 * hypot(h5, hypot(e2, R1))) / (h5*h5 + e2*e2)\n ssin = sqrt(1 - ccos*ccos)\n\n factory = gmsh.model.geo\n factory.addPoint(-e1-e2, 0 , 0, Lc1, 1)\n factory.addPoint(-e1-e2, h1 , 0, Lc1, 2)\n factory.addPoint(-e3-r , h1 , 0, Lc2, 3)\n factory.addPoint(-e3-r , h1+r , 0, Lc2, 4)\n factory.addPoint(-e3 , h1+r , 0, Lc2, 5)\n factory.addPoint(-e3 , h1+h2, 0, Lc1, 6)\n factory.addPoint( e3 , h1+h2, 0, Lc1, 7)\n factory.addPoint( e3 , h1+r , 0, Lc2, 8)\n factory.addPoint( e3+r , h1+r , 0, Lc2, 9)\n factory.addPoint( e3+r , h1 , 0, Lc2, 10)\n factory.addPoint( e1+e2, h1 , 0, Lc1, 11)\n factory.addPoint( e1+e2, 0 , 0, Lc1, 12)\n factory.addPoint( e2 , 0 , 0, Lc1, 13)\n\n factory.addPoint( R1 / ssin, h5+R1*ccos, 0, Lc2, 14)\n factory.addPoint( 0 , h5 , 0, Lc2, 15)\n factory.addPoint(-R1 / ssin, h5+R1*ccos, 0, Lc2, 16)\n factory.addPoint(-e2 , 0.0 , 0, Lc1, 17)\n\n factory.addPoint(-R2 , h1+h3 , 0, Lc2, 18)\n factory.addPoint(-R2 , h1+h3+h4, 0, Lc2, 19)\n factory.addPoint( 0 , h1+h3+h4, 0, Lc2, 20)\n factory.addPoint( R2 , h1+h3+h4, 0, Lc2, 21)\n factory.addPoint( R2 , h1+h3 , 0, Lc2, 22)\n factory.addPoint( 0 , h1+h3 , 0, Lc2, 23)\n\n factory.addPoint( 0, h1+h3+h4+R2, 0, Lc2, 24)\n factory.addPoint( 0, h1+h3-R2, 0, Lc2, 25)\n\n factory.addLine(1 , 17, 1)\n factory.addLine(17, 16, 2)\n\n factory.addCircleArc(14,15,16, 3)\n factory.addLine(14,13, 4)\n factory.addLine(13,12, 5)\n factory.addLine(12,11, 6)\n factory.addLine(11,10, 7)\n factory.addCircleArc(8,9,10, 8)\n factory.addLine(8,7, 9)\n factory.addLine(7,6, 10)\n factory.addLine(6,5, 11)\n factory.addCircleArc(3,4,5, 12)\n factory.addLine(3,2, 13)\n factory.addLine(2,1, 14)\n factory.addLine(18,19, 15)\n factory.addCircleArc(21,20,24, 16)\n factory.addCircleArc(24,20,19, 17)\n factory.addCircleArc(18,23,25, 18)\n factory.addCircleArc(25,23,22, 19)\n factory.addLine(21,22, 20)\n\n factory.addCurveLoop([17,-15,18,19,-20,16], 21)\n factory.addPlaneSurface([21], 22)\n factory.addCurveLoop([11,-12,13,14,1,2,-3,4,5,6,7,-8,9,10], 23)\n\n factory.addPlaneSurface([23,21], 24)\n\n factory.synchronize()\n\n v = gmsh.view.add(\"comments\")\n\n gmsh.view.addListDataString(v, [10, -10], [\"Created with Gmsh\"])\n\n gmsh.view.addListDataString(v, [0, 0.11, 0], [\"Hole\"],\n [\"Align\", \"Center\", \"Font\", \"Helvetica\"])\n\n gmsh.view.addListDataString(v, [0, 0.09, 0], [\"file://../t4_image.png@0.01x0\"],\n [\"Align\", \"Center\"])\n\n gmsh.view.addListDataString(v, [-0.01, 0.09, 0],\n [\"file://../t4_image.png@0.01x0,0,0,1,0,1,0\"])\n\n gmsh.view.addListDataString(v, [0, 0.12, 0],\n [\"file://../t4_image.png@0.01x0#\"],\n [\"Align\", \"Center\"])\n\n gmsh.view.addListDataString(v, [150, -7], [\"file://../t4_image.png@20x0\"])\n\n gmsh.view.option.setString(v, \"DoubleClickedCommand\",\n \"Printf('View[0] has been double-clicked!');\")\n gmsh.option.setString(\n \"Geometry.DoubleClickedLineCommand\",\n \"Printf('Curve %g has been double-clicked!', Geometry.DoubleClickedEntityTag);\")\n\n gmsh.model.setColor([(2, 22)], 127, 127, 127)\n gmsh.model.setColor([(2, 24)], 160, 32, 240)\n gmsh.model.setColor([(1, i) for i in 1:14], 255, 0, 0)\n gmsh.model.setColor([(1, i) for i in 15:20], 255, 255, 0)\n\n gmsh.model.mesh.generate(2)\n grid = ExtendableGrids.simplexgrid_from_gmsh(gmsh.model)\n gmsh.finalize()\n grid\nend","category":"page"},{"location":"script_examples/gmsh/","page":"gmsh","title":"gmsh","text":"(Image: )","category":"page"},{"location":"script_examples/gmsh/","page":"gmsh","title":"gmsh","text":"Example t5 from the GMSH docs","category":"page"},{"location":"script_examples/gmsh/","page":"gmsh","title":"gmsh","text":"function gmsh_t5()\n\n gmsh.initialize()\n\n gmsh.model.add(\"t5\")\n\n lcar1 = .1\n lcar2 = .0005\n lcar3 = .055\n\n gmsh.model.geo.addPoint(0.5,0.5,0.5, lcar2, 1)\n gmsh.model.geo.addPoint(0.5,0.5,0, lcar1, 2)\n gmsh.model.geo.addPoint(0,0.5,0.5, lcar1, 3)\n gmsh.model.geo.addPoint(0,0,0.5, lcar1, 4)\n gmsh.model.geo.addPoint(0.5,0,0.5, lcar1, 5)\n gmsh.model.geo.addPoint(0.5,0,0, lcar1, 6)\n gmsh.model.geo.addPoint(0,0.5,0, lcar1, 7)\n gmsh.model.geo.addPoint(0,1,0, lcar1, 8)\n gmsh.model.geo.addPoint(1,1,0, lcar1, 9)\n gmsh.model.geo.addPoint(0,0,1, lcar1, 10)\n gmsh.model.geo.addPoint(0,1,1, lcar1, 11)\n gmsh.model.geo.addPoint(1,1,1, lcar1, 12)\n gmsh.model.geo.addPoint(1,0,1, lcar1, 13)\n gmsh.model.geo.addPoint(1,0,0, lcar1, 14)\n\n gmsh.model.geo.addLine(8,9, 1); gmsh.model.geo.addLine(9,12, 2)\n gmsh.model.geo.addLine(12,11, 3); gmsh.model.geo.addLine(11,8, 4)\n gmsh.model.geo.addLine(9,14, 5); gmsh.model.geo.addLine(14,13, 6)\n gmsh.model.geo.addLine(13,12, 7); gmsh.model.geo.addLine(11,10, 8)\n gmsh.model.geo.addLine(10,13, 9); gmsh.model.geo.addLine(10,4, 10)\n gmsh.model.geo.addLine(4,5, 11); gmsh.model.geo.addLine(5,6, 12)\n gmsh.model.geo.addLine(6,2, 13); gmsh.model.geo.addLine(2,1, 14)\n gmsh.model.geo.addLine(1,3, 15); gmsh.model.geo.addLine(3,7, 16)\n gmsh.model.geo.addLine(7,2, 17); gmsh.model.geo.addLine(3,4, 18)\n gmsh.model.geo.addLine(5,1, 19); gmsh.model.geo.addLine(7,8, 20)\n gmsh.model.geo.addLine(6,14, 21);\n\n gmsh.model.geo.addCurveLoop([-11,-19,-15,-18], 22)\n gmsh.model.geo.addPlaneSurface([22], 23)\n gmsh.model.geo.addCurveLoop([16,17,14,15], 24)\n gmsh.model.geo.addPlaneSurface([24], 25)\n gmsh.model.geo.addCurveLoop([-17,20,1,5,-21,13], 26)\n gmsh.model.geo.addPlaneSurface([26], 27)\n gmsh.model.geo.addCurveLoop([-4,-1,-2,-3], 28)\n gmsh.model.geo.addPlaneSurface([28], 29)\n gmsh.model.geo.addCurveLoop([-7,2,-5,-6], 30)\n gmsh.model.geo.addPlaneSurface([30], 31)\n gmsh.model.geo.addCurveLoop([6,-9,10,11,12,21], 32)\n gmsh.model.geo.addPlaneSurface([32], 33)\n gmsh.model.geo.addCurveLoop([7,3,8,9], 34)\n gmsh.model.geo.addPlaneSurface([34], 35)\n gmsh.model.geo.addCurveLoop([-10,18,-16,-20,4,-8], 36)\n gmsh.model.geo.addPlaneSurface([36], 37)\n gmsh.model.geo.addCurveLoop([-14,-13,-12,19], 38)\n gmsh.model.geo.addPlaneSurface([38], 39)\n\n shells = []\n\n sl = gmsh.model.geo.addSurfaceLoop([35,31,29,37,33,23,39,25,27])\n push!(shells, sl)\n\n function cheeseHole(x, y, z, r, lc, shells)\n p1 = gmsh.model.geo.addPoint(x, y, z, lc)\n p2 = gmsh.model.geo.addPoint(x+r,y, z, lc)\n p3 = gmsh.model.geo.addPoint(x, y+r,z, lc)\n p4 = gmsh.model.geo.addPoint(x, y, z+r, lc)\n p5 = gmsh.model.geo.addPoint(x-r,y, z, lc)\n p6 = gmsh.model.geo.addPoint(x, y-r,z, lc)\n p7 = gmsh.model.geo.addPoint(x, y, z-r, lc)\n\n c1 = gmsh.model.geo.addCircleArc(p2,p1,p7)\n c2 = gmsh.model.geo.addCircleArc(p7,p1,p5)\n c3 = gmsh.model.geo.addCircleArc(p5,p1,p4)\n c4 = gmsh.model.geo.addCircleArc(p4,p1,p2)\n c5 = gmsh.model.geo.addCircleArc(p2,p1,p3)\n c6 = gmsh.model.geo.addCircleArc(p3,p1,p5)\n c7 = gmsh.model.geo.addCircleArc(p5,p1,p6)\n c8 = gmsh.model.geo.addCircleArc(p6,p1,p2)\n c9 = gmsh.model.geo.addCircleArc(p7,p1,p3)\n c10 = gmsh.model.geo.addCircleArc(p3,p1,p4)\n c11 = gmsh.model.geo.addCircleArc(p4,p1,p6)\n c12 = gmsh.model.geo.addCircleArc(p6,p1,p7)\n\n l1 = gmsh.model.geo.addCurveLoop([c5,c10,c4])\n l2 = gmsh.model.geo.addCurveLoop([c9,-c5,c1])\n l3 = gmsh.model.geo.addCurveLoop([c12,-c8,-c1])\n l4 = gmsh.model.geo.addCurveLoop([c8,-c4,c11])\n l5 = gmsh.model.geo.addCurveLoop([-c10,c6,c3])\n l6 = gmsh.model.geo.addCurveLoop([-c11,-c3,c7])\n l7 = gmsh.model.geo.addCurveLoop([-c2,-c7,-c12])\n l8 = gmsh.model.geo.addCurveLoop([-c6,-c9,c2])\n\n s1 = gmsh.model.geo.addSurfaceFilling([l1])\n s2 = gmsh.model.geo.addSurfaceFilling([l2])\n s3 = gmsh.model.geo.addSurfaceFilling([l3])\n s4 = gmsh.model.geo.addSurfaceFilling([l4])\n s5 = gmsh.model.geo.addSurfaceFilling([l5])\n s6 = gmsh.model.geo.addSurfaceFilling([l6])\n s7 = gmsh.model.geo.addSurfaceFilling([l7])\n s8 = gmsh.model.geo.addSurfaceFilling([l8])\n\n sl = gmsh.model.geo.addSurfaceLoop([s1, s2, s3, s4, s5, s6, s7, s8])\n v = gmsh.model.geo.addVolume([sl])\n push!(shells, sl)\n return v\n end\n\n x = 0\n y = 0.75; z = 0; r = 0.09\n for t in 1:5\n x += 0.166\n z += 0.166\n v = cheeseHole(x, y, z, r, lcar3, shells)\n gmsh.model.geo.addPhysicalGroup(3, [v], t)\n end\n\n gmsh.model.geo.addVolume(shells, 186);\n\n gmsh.model.geo.synchronize()\n\n gmsh.model.addPhysicalGroup(3, [186], 10);\n\n gmsh.model.mesh.generate(3)\n grid = ExtendableGrids.simplexgrid_from_gmsh(gmsh.model)\n gmsh.finalize()\n grid\nend","category":"page"},{"location":"script_examples/gmsh/","page":"gmsh","title":"gmsh","text":"(Image: )","category":"page"},{"location":"script_examples/gmsh/#CI-callbacks-for-[ExampleJuggler.jl](https://github.com/j-fu/ExampleJuggler.jl)","page":"gmsh","title":"CI callbacks for ExampleJuggler.jl","text":"","category":"section"},{"location":"script_examples/gmsh/","page":"gmsh","title":"gmsh","text":"Unit tests","category":"page"},{"location":"script_examples/gmsh/","page":"gmsh","title":"gmsh","text":"using Test\nfunction runtests()\n ok(grid)= num_nodes(grid) > 0 && num_cells(grid) > 0 && num_bfaces(grid) > 0\n @test ok(gmsh_t1())\n @test ok(gmsh_t4())\n @test ok(gmsh_t5())\nend","category":"page"},{"location":"script_examples/gmsh/","page":"gmsh","title":"gmsh","text":"Plot generation","category":"page"},{"location":"script_examples/gmsh/","page":"gmsh","title":"gmsh","text":"using GridVisualize\nfunction generateplots(picdir; Plotter = nothing)\n if isdefined(Plotter, :Makie)\n size = (500, 500)\n Plotter.save(joinpath(picdir, \"gmsh_t1.png\"), gridplot(gmsh_t1(); Plotter, size))\n Plotter.save(joinpath(picdir, \"gmsh_t4.png\"), gridplot(gmsh_t4(); Plotter, size))\n Plotter.save(joinpath(picdir, \"gmsh_t5.png\"), gridplot(gmsh_t5(); Plotter, size))\n end\nend","category":"page"},{"location":"script_examples/gmsh/","page":"gmsh","title":"gmsh","text":"","category":"page"},{"location":"script_examples/gmsh/","page":"gmsh","title":"gmsh","text":"This page was generated using Literate.jl.","category":"page"},{"location":"arraytools/#Array-tools","page":"Array tools","title":"Array tools","text":"","category":"section"},{"location":"arraytools/#API","page":"Array tools","title":"API","text":"","category":"section"},{"location":"arraytools/","page":"Array tools","title":"Array tools","text":"Modules = [ExtendableGrids]\nPages = [\"arraytools.jl\"]","category":"page"},{"location":"arraytools/#ExtendableGrids.geomspace-NTuple{4, Any}","page":"Array tools","title":"ExtendableGrids.geomspace","text":"geomspace(a, b, ha, hb; tol, maxiterations) -> Any\n\n\n(Try to) create a subdivision of interval (a,b) stored in the returned array X such that \n\nX[1]==a, X[end]==b\n(X[2]-X[1])<=ha+tol*(b-a)\n(X[end]-X[end-1])<=hb+tol*(b-a)\nThere is a number q such that X[i+1]-X[i] == q*(X[i]-X[i-1])\nX is the array with the minimal possible number of points with the above property\n\nCaveat: the algorithm behind this is tested for many cases but unproven.\n\nReturns an Array containing the points of the subdivision.\n\n\n\n\n\n","category":"method"},{"location":"arraytools/#ExtendableGrids.glue-Tuple{AbstractVector, AbstractVector}","page":"Array tools","title":"ExtendableGrids.glue","text":"c=glue(a,b)\n\nGlue together two vectors a and b resulting in a vector c. They last element of a shall be equal (up to tol) to the first element of b. The result fulfills length(c)=length(a)+length(b)-1\n\n\n\n\n\n","category":"method"},{"location":"arraytools/#ExtendableGrids.linspace-Tuple{Any, Any, Any}","page":"Array tools","title":"ExtendableGrids.linspace","text":"linspace(a, b, n) -> Any\n\n\nResurrect linspace despite https://github.com/JuliaLang/julia/pull/25896#issuecomment-363769368\n\n\n\n\n\n","category":"method"},{"location":"regionedit/#Region-editing","page":"Region editing","title":"Region editing","text":"","category":"section"},{"location":"regionedit/","page":"Region editing","title":"Region editing","text":"Tools for editing grid region numbers","category":"page"},{"location":"regionedit/","page":"Region editing","title":"Region editing","text":"cellmask!\nbfacemask!\nrect!\nbedgemask!","category":"page"},{"location":"regionedit/#ExtendableGrids.cellmask!","page":"Region editing","title":"ExtendableGrids.cellmask!","text":"cellmask!(\n grid::ExtendableGrid,\n maskmin,\n maskmax,\n ireg::Int64;\n tol\n) -> ExtendableGrid\n\n\nEdit region numbers of grid cells via rectangular mask.\n\nExamples: Rectangle-with-multiple-regions\n\n\n\n\n\n","category":"function"},{"location":"regionedit/#ExtendableGrids.bfacemask!","page":"Region editing","title":"ExtendableGrids.bfacemask!","text":"bfacemask!(grid::ExtendableGrid,\n maskmin,\n maskmax,\n ireg;\n allow_new=true,\n tol=1.0e-10)\n\nEdit region numbers of grid boundary facets via rectangular mask. If allow_new is true (default), new facets are added.\n\nireg may be an integer or a function ireg(current_region).\n\nA zero region number removes boundary faces.\n\nExamples: Rectangle-with-multiple-regions\n\n\n\n\n\n","category":"function"},{"location":"regionedit/#ExtendableGrids.rect!","page":"Region editing","title":"ExtendableGrids.rect!","text":"rect!(grid,maskmin,maskmax; \n region=1, \n bregion=1, \n bregions=nothing, \n tol=1.0e-10)\n\nPlace a rectangle into a rectangular grid. It places a cellmask according to maskmin and maskmax, and introduces boundary faces via `bfacesmask! at all sides of the mask area. It is checked that the coordinate values in the mask match (with tolerance) corresponding directional coordinates of the grid.\n\nIf bregions is given it is assumed to be a vector corresponding to the number of sides, im the sequence w,e in 1D. s,e,n,w in 2D and s,e,n,w,b,t in 3D.\n\nbregion or elements of bregions can be numbers or functions ireg(current_region).\n\nExamples: Subgrid-from-rectangle, Rect2d-with-bregion-function, Cross3d\n\n\n\n\n\n","category":"function"},{"location":"regionedit/#ExtendableGrids.bedgemask!","page":"Region editing","title":"ExtendableGrids.bedgemask!","text":"bedgemask!(\n grid::ExtendableGrid,\n xa,\n xb,\n ireg::Int64;\n tol\n) -> ExtendableGrid\n\n\nEdit region numbers of grid boundary edges via line mask. This only works for 3D grids.\n\n\n\n\n\n","category":"function"},{"location":"cellfinder/#Search-and-Interpolation","page":"Search and Interpolation","title":"Search and Interpolation","text":"","category":"section"},{"location":"cellfinder/#Search","page":"Search and Interpolation","title":"Search","text":"","category":"section"},{"location":"cellfinder/","page":"Search and Interpolation","title":"Search and Interpolation","text":"CellFinder\ngFindLocal!\ngFindBruteForce!","category":"page"},{"location":"cellfinder/#ExtendableGrids.CellFinder","page":"Search and Interpolation","title":"ExtendableGrids.CellFinder","text":"struct CellFinder{Tv, Ti}\n\nCellFinder supports finding cells in grids.\n\n\n\n\n\n","category":"type"},{"location":"cellfinder/#ExtendableGrids.gFindLocal!","page":"Search and Interpolation","title":"ExtendableGrids.gFindLocal!","text":"icellfound=GFindLocal!(xref,cellfinder,p; icellstart=1,eps=1.0e-14, trybrute=true)\n\nFind cell containing point p starting with cell number icellstart.\n\nReturns cell number if found, zero otherwise. If trybrute==true try gFindBruteForce! before giving up. Upon return, xref contains the barycentric coordinates of the point in the sequence dim+1, 1...dim\n\nwarning: Warning\nCurrently implemented for simplex grids only.\n\n\n\n\n\n","category":"function"},{"location":"cellfinder/#ExtendableGrids.gFindBruteForce!","page":"Search and Interpolation","title":"ExtendableGrids.gFindBruteForce!","text":"icellfound=gFindBruteForce!(xref,cellfinder,p; icellstart=1,eps=1.0e-14)\n\nFind cell containing point p starting with cell number icellstart.\n\nReturns cell number if found, zero otherwise. Upon return, xref contains the barycentric coordinates of the point in the sequence dim+1, 1...dim\n\nwarning: Warning\nCurrently implemented for simplex grids only.\n\n\n\n\n\n","category":"function"},{"location":"cellfinder/#Interpolation","page":"Search and Interpolation","title":"Interpolation","text":"","category":"section"},{"location":"cellfinder/","page":"Search and Interpolation","title":"Search and Interpolation","text":"interpolate\ninterpolate!","category":"page"},{"location":"cellfinder/#ExtendableGrids.interpolate","page":"Search and Interpolation","title":"ExtendableGrids.interpolate","text":"u_to=interpolate(grid_to, u_from, grid_from;eps=1.0e-14,trybrute=true)\n\nPiecewise linear interpolation of function u_from on grid grid_from to grid_to. Works for matrices with second dimension corresponding to grid nodes and for vectors.\n\nwarning: Warning\nMay be slow on non-convex domains. If trybrute==false it may even fail.\n\nwarning: Warning\nCurrently implemented for simplex grids only.\n\n\n\n\n\n","category":"function"},{"location":"cellfinder/#ExtendableGrids.interpolate!","page":"Search and Interpolation","title":"ExtendableGrids.interpolate!","text":"interpolate!(u_to,grid_to, u_from, grid_from;eps=1.0e-14,trybrute=true)\n\nMutating form of interpolate\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#Gmsh-interoperability","page":"Gmsh interoperability","title":"Gmsh interoperability","text":"","category":"section"},{"location":"gmsh/","page":"Gmsh interoperability","title":"Gmsh interoperability","text":"This functionality is in beta stage. Breaking changes for this API are considered non-breaking for the package. Therefore, these functions are not exported yet.","category":"page"},{"location":"gmsh/#API","page":"Gmsh interoperability","title":"API","text":"","category":"section"},{"location":"gmsh/","page":"Gmsh interoperability","title":"Gmsh interoperability","text":"These methods become available via a package extension which is loaded together with Gmsh.jl. See the general gmsh documentation, the Gmsh reference manual and the Gmsh Julia API source code for information.","category":"page"},{"location":"gmsh/","page":"Gmsh interoperability","title":"Gmsh interoperability","text":"ExtendableGrids.simplexgrid_from_gmsh\nExtendableGrids.simplexgrid_to_gmsh\nExtendableGrids.mixedgrid_from_gmsh\nExtendableGrids.mixedgrid_to_gmsh\nExtendableGrids.seal!","category":"page"},{"location":"gmsh/#ExtendableGrids.simplexgrid_from_gmsh","page":"Gmsh interoperability","title":"ExtendableGrids.simplexgrid_from_gmsh","text":"simplexgrid_from_gmsh(filename::String; incomplete=false, Tc=Float32, Ti=Int32)\n\nThe msh file is read and a SimplexGrid is created. The mesh can also contain an incomplete grid. For this, the function has to be called with incomplete=true. 'incomplete' means that the grid only consists of nodes and cells, it does not have a boundary. We also do not try to read the physical groups for those grids. Tc is the type of coordinates, Ti is the index type.\n\n\n\n\n\nsimplexgrid_from_gmsh(mod::Module; incomplete=false, Tc=Float32, Ti=Int32)\n\nThe mesh contained in the gmsh module is converted to a SimplexGrid. The mesh can also contain an incomplete grid. For this, the function has to be called with incomplete=true. 'incomplete' means that the grid only consists of nodes and cells, it does not have a boundary. We also do not try to read the physical groups for those grids. Tc is the type of coordinates, Ti is the index type.\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#ExtendableGrids.simplexgrid_to_gmsh","page":"Gmsh interoperability","title":"ExtendableGrids.simplexgrid_to_gmsh","text":"simplexgrid_to_gmsh(g::ExtendableGrid; filename::String=\"\")\n\nThe SimplexGrid 'g' is loaded into a gmsh module. If a string (not \"\") is passed via 'filename', the mesh is written into this file.\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#ExtendableGrids.mixedgrid_from_gmsh","page":"Gmsh interoperability","title":"ExtendableGrids.mixedgrid_from_gmsh","text":"mixedgrid_from_gmsh(filename::String; Tc=Float32, Ti=Int32)\n\nThe msh file is read and an ExtendableGrid is created. This only works for dim=2 grids and the orientation may be wrong. Tc is the type of coordinates, Ti is the index type.\n\n\n\n\n\nmixedgrid_from_gmsh(mod::Module; Tc=Float32, Ti=Int32)\n\nThe mesh contained in the gmsh module is converted to an ExtendableGrid. Tc is the type of coordinates, Ti is the index type.\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#ExtendableGrids.mixedgrid_to_gmsh","page":"Gmsh interoperability","title":"ExtendableGrids.mixedgrid_to_gmsh","text":"mixedgrid_to_gmsh(g::ExtendableGrid; filename::String=\"\")\n\nThe ExtendableGrid 'g' is loaded into a gmsh module. If a string (not \"\") is passed via 'filename', the mesh is written into this file.\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#ExtendableGrids.seal!","page":"Gmsh interoperability","title":"ExtendableGrids.seal!","text":"function seal!(grid::ExtendableGrid; bfaceregions=[], encode=true, Ti=Int64)\n\nTake an (simplex-) ExtendableGrid and compute and add the BoundaryFaces. A so called incomplete ExtendableGrid can e.g. be read from an msh file using the Gmsh.jl-extension of the ExtendableGrids package and the function simplexgrid_from_gmsh(filenameString incomplete=true). If a non empty vector is passed as bfaceregions, this vector is used for the 'BFaceRegions'. If bfaceregions is empty, all BoundaryFaces get the region number 1.\n\nFor performance reasons, the faces (=the nodes contained in the face) can be encoded (see the function encode(xVector nnInteger)) to Integers encoding_type. To do this, encode=true is used. But for each encoding_type there is a limit on the number of nodes: \n\n- For Int64 and a 2d grid: 3*10^9 nodes\n- For Int64 and a 3d grid: 2*10^6 nodes\n- For Int128 and a 2d grid: 1.3*10^19 nodes\n- For Int128 and a 3d grid: 5.5*10^12 nodes\n\nIf encode=false is passed, there is no limit (besides the MaxValue of the Integer type used).\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#Internals","page":"Gmsh interoperability","title":"Internals","text":"","category":"section"},{"location":"gmsh/#Gmsh-extension","page":"Gmsh interoperability","title":"Gmsh extension","text":"","category":"section"},{"location":"gmsh/","page":"Gmsh interoperability","title":"Gmsh interoperability","text":"ExtendableGridsGmshExt.gmshfile_to_mixedgrid\nExtendableGridsGmshExt.take_second\nExtendableGridsGmshExt.gmshfile_to_simplexgrid\nExtendableGridsGmshExt.test_gmsh_init\nExtendableGridsGmshExt.mixedgrid_to_gmshfile\nExtendableGridsGmshExt.multiply_indices\nExtendableGridsGmshExt.mod_to_mixedgrid\nExtendableGridsGmshExt.simplexgrid_to_gmshfile\nExtendableGridsGmshExt.simplexgrid_to_mod\nExtendableGridsGmshExt.mod_to_simplexgrid\nExtendableGridsGmshExt.incomplete_mod_to_simplexgrid\nExtendableGridsGmshExt.use_geoms\nExtendableGridsGmshExt.use_vta","category":"page"},{"location":"gmsh/#ExtendableGridsGmshExt.gmshfile_to_mixedgrid","page":"Gmsh interoperability","title":"ExtendableGridsGmshExt.gmshfile_to_mixedgrid","text":"gmshfile_to_mixedgrid(filename::String, Tc, Ti)\n\nThis function just reads an msh file, and creates a gmsh.model and then calls the 'modtomixedgrid' function This function is called in 'mixedgridfromgmsh' Tc is the type of coordinates, Ti is the index type.\n\nThis function initalizes and finalized gmsh.\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#ExtendableGridsGmshExt.take_second","page":"Gmsh interoperability","title":"ExtendableGridsGmshExt.take_second","text":"take_second(x)\n\nx is a list of 2-tuples, with an Int as second entry an array of the second entries is returned\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#ExtendableGridsGmshExt.gmshfile_to_simplexgrid","page":"Gmsh interoperability","title":"ExtendableGridsGmshExt.gmshfile_to_simplexgrid","text":"gmshfile_to_simplexgrid(filename::String, Tc, Ti)\n\nThis function reads a .msh or a .geo file, and creates a gmsh.model If it is a .geo file, gmsh.model.mesh.generate() is called. Finally, it calls the 'modtosimplexgrid' function. This function is called in 'simplexgridfromgmsh' Tc is the type of coordinates, Ti is the index type.\n\nThe function initializes and finalized the gmsh module.\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#ExtendableGridsGmshExt.test_gmsh_init","page":"Gmsh interoperability","title":"ExtendableGridsGmshExt.test_gmsh_init","text":"test_gmsh_init()\n\nVery primitive function to test, via a try-catch-block, whether gmsh is already initialized. If not, it will be initialized.\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#ExtendableGridsGmshExt.mixedgrid_to_gmshfile","page":"Gmsh interoperability","title":"ExtendableGridsGmshExt.mixedgrid_to_gmshfile","text":"mixedgrid_to_gmshfile(grid::ExtendableGrid, filename::String)\n\nThis function takes a mixed grid, uses 'gridtomod' to create a corresponding gmsh module Then it writes the module to a file\n\ngrid[CellNodes] must be a VariableTargetAdjacency structure This function initializes and finalized gmsh.\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#ExtendableGridsGmshExt.multiply_indices","page":"Gmsh interoperability","title":"ExtendableGridsGmshExt.multiply_indices","text":"multiply_indices(indices, n)\n\nfor n=3: [i, j, ..., k], 3 -> [3i-2, 3i-1, 3i, 3j-1, 3j-2, 3j, ..., 3k-2, 3k-1, 3k] in general: [i, j, ..., k], n -> [ni-(n-1), ni-(n-2), ..., ni, n*j-(n-1), ...] This function can be used, if you have the indices of cells, and you want to get all their nodes, but the nodes are stored in one list for all cells: [node1ofcell1, node2ofcell1, ... nodenofcell1, node1ofcell2, ...]\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#ExtendableGridsGmshExt.mod_to_mixedgrid","page":"Gmsh interoperability","title":"ExtendableGridsGmshExt.mod_to_mixedgrid","text":"mod_to_mixedgrid(model::Module, Tc, Ti)\n\nFunction that tries to create a (mixed-) ExtendableGrid from a gmsh.model. Model has to be a gmsh.model. (This function has to be called with an initialized gmsh environment). This function is called in 'mixedgridfromgmsh'. Tc is the type of coordinates, Ti is the index type.\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#ExtendableGridsGmshExt.simplexgrid_to_gmshfile","page":"Gmsh interoperability","title":"ExtendableGridsGmshExt.simplexgrid_to_gmshfile","text":"function simplexgrid_to_gmshfile(grid::ExtendableGrid, filename::String)\n\nThis function takes a simplexgrid, uses 'gridtomod' to create a corresponding gmsh module Then it writes the module to a file.\n\nThis function initalizes and finalized gmsh.\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#ExtendableGridsGmshExt.simplexgrid_to_mod","page":"Gmsh interoperability","title":"ExtendableGridsGmshExt.simplexgrid_to_mod","text":"grid_to_mod(grid::ExtendableGrid)\n\nThis function writes an ExtendableGrid into a gmsh module. (This function has to be called with an initialized gmsh environment) At the moment, this function can only be used from the outside via 'write_gmsh', where the newly created gmsh module is written into a msh file.\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#ExtendableGridsGmshExt.mod_to_simplexgrid","page":"Gmsh interoperability","title":"ExtendableGridsGmshExt.mod_to_simplexgrid","text":"mod_to_grid(model::Module, Tc, Ti)\n\nFunction that tries to create an (simplex-) ExtendableGrid from a gmsh.model. Model has to be a gmsh.model. (This function has to be called with an initialized gmsh environment). This function is called in 'simplexgridfromgmsh'. Tc is the type of coordinates, Ti is the index type.\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#ExtendableGridsGmshExt.incomplete_mod_to_simplexgrid","page":"Gmsh interoperability","title":"ExtendableGridsGmshExt.incomplete_mod_to_simplexgrid","text":"incomplete_mod_to_simplexgrid(model::Module, Tc, Ti)\n\nLoads an incomplete mesh from a msh file. Then converts into an ExtendableGrids. 'incomplete' in this context means the boundary is missing. With the 'ExtendableGrids.seal!(grid::ExtendableGrid)' the boundary can be added. Tc is the type of coordinates, Ti is the index type.\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#ExtendableGridsGmshExt.use_geoms","page":"Gmsh interoperability","title":"ExtendableGridsGmshExt.use_geoms","text":"use_geoms(cellgeoms, ids)\n\nIf cellgeoms would just be an array/vector, the result would be equivalent to cellgeoms[ids].\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#ExtendableGridsGmshExt.use_vta","page":"Gmsh interoperability","title":"ExtendableGridsGmshExt.use_vta","text":"use_vta(VTA, col_ids, num)\n\nIf VTA were a matrix, the result would be equivalent to VTA[:, col_ids]. Each column of the VTA contains the nodes of one cell.\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#seal!-method","page":"Gmsh interoperability","title":"seal! method","text":"","category":"section"},{"location":"gmsh/","page":"Gmsh interoperability","title":"Gmsh interoperability","text":"ExtendableGrids.faces_of_ndim_simplex\nExtendableGrids.assemble_bfaces_direct\nExtendableGrids.decode\nExtendableGrids.encode\nExtendableGrids.faces_of_ndim_simplex_direct\nExtendableGrids.assemble_bfaces","category":"page"},{"location":"gmsh/#ExtendableGrids.faces_of_ndim_simplex","page":"Gmsh interoperability","title":"ExtendableGrids.faces_of_ndim_simplex","text":"function faces_of_ndim_simplex(x::Vector, dim::Integer, nn::Integer)\n\nReturn all faces of a n-dim simplex. The orientation is not guaranteed to be right. x contains the nodes of the simplex. nn is the total number of nodes. The faces (=the nodes contained in the face), are encoded to Integers (of nn's type).\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#ExtendableGrids.assemble_bfaces_direct","page":"Gmsh interoperability","title":"ExtendableGrids.assemble_bfaces_direct","text":"function assemble_bfaces_direct(simplices, dim, Ti)\n\nAssemble the BoundaryFaces corresponding to the simplices passed. In this function, the faces are not encoded. This may make sense for grids with many nodes. For smaller grids it can lead to performance losses. simplices is a (dim+1) x number cells matrix and nn is the total number of nodes. We can not guarantee, that the orientation of the BoundaryFaces is correct. \n\n\n\n\n\n","category":"function"},{"location":"gmsh/#ExtendableGrids.decode","page":"Gmsh interoperability","title":"ExtendableGrids.decode","text":"function decode(y::Integer, nn::Integer, dim::Integer)\n\nDecode y to the vector x. x has the length dim. The en/-decoding is similar to using the base-nn number system. For details of the encoding, see the documentation of the function encode.\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#ExtendableGrids.encode","page":"Gmsh interoperability","title":"ExtendableGrids.encode","text":"function encode(x::Vector, nn::Integer)\n\nEncode th vector x into an Int y. The en/-decoding is similar to using the base-nn number system. Example: x₁ x₂ x₃ (x₁-1) + (x₂-1)*nn + (x₃-1)*nn²``\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#ExtendableGrids.faces_of_ndim_simplex_direct","page":"Gmsh interoperability","title":"ExtendableGrids.faces_of_ndim_simplex_direct","text":"function faces_of_ndim_simplex(x::Vector, dim::Integer, nn::Integer)\n\nReturn all faces of a n-dim simplex. The orientation is not guaranteed to be right. x contains the nodes of the simplex. nn is the total number of nodes. The faces (=the nodes contained in the face), are not encoded to Integers.\n\n\n\n\n\n","category":"function"},{"location":"gmsh/#ExtendableGrids.assemble_bfaces","page":"Gmsh interoperability","title":"ExtendableGrids.assemble_bfaces","text":"function assemble_bfaces(simplices, dim, nn, Ti)\n\nAssemble the BoundaryFaces corresponding to the simplices passed. In this function, the faces are encoded for performance reasons. If a large grid with many nodes is used, Ti has to be chosen accordingly (e.g. Int128), or encode=false has to be passed to seal!. simplices is a (dim+1) x number cells matrix and nn is the total number of nodes. We can not guarantee, that the orientation of the BoundaryFaces is correct. \n\n\n\n\n\n","category":"function"},{"location":"changes/","page":"Changes","title":"Changes","text":"using Markdown\nMarkdown.parse(read(\"../../CHANGELOG.md\",String))","category":"page"},{"location":"subgrid/#Subgrid","page":"Subgrid","title":"Subgrid","text":"","category":"section"},{"location":"subgrid/","page":"Subgrid","title":"Subgrid","text":"Subgrids of an ExtendableGrid are again of the same type ExtendableGrid and unse the typed Dict mechanism to store linkage to the parent grid.","category":"page"},{"location":"subgrid/","page":"Subgrid","title":"Subgrid","text":"using ExtendableGrids # hide\ngrid=simplexgrid([1,2,3], [4,5,6])\nsub=subgrid(grid,[2],boundary=true, transform=(a,b) -> (a[1]=10*b[2]))\nprintln(keys(sub))\nprintln(sub[Coordinates])","category":"page"},{"location":"subgrid/","page":"Subgrid","title":"Subgrid","text":"Given a vector on the parent grid, one can create a view of this vecotor on the subgrid:","category":"page"},{"location":"subgrid/","page":"Subgrid","title":"Subgrid","text":"using ExtendableGrids # hide\ngrid=simplexgrid([1,2,3], [4,5,6])\nsub=subgrid(grid,[2],boundary=true, transform=(a,b) -> (a[1]=10*b[2]))\nv=[i for i=1:num_nodes(grid)]\nsubv=view(v,sub)\nprintln(subv)","category":"page"},{"location":"subgrid/#API","page":"Subgrid","title":"API","text":"","category":"section"},{"location":"subgrid/","page":"Subgrid","title":"Subgrid","text":"Modules = [ExtendableGrids]\nPages = [\"subgrid.jl\"]","category":"page"},{"location":"subgrid/#ExtendableGrids.BFaceParents","page":"Subgrid","title":"ExtendableGrids.BFaceParents","text":"abstract type BFaceParents <: AbstractGridIntegerArray1D\n\nGrid component key type for storing parent bfaces\n\n\n\n\n\n","category":"type"},{"location":"subgrid/#ExtendableGrids.CellParents","page":"Subgrid","title":"ExtendableGrids.CellParents","text":"abstract type CellParents <: AbstractGridIntegerArray1D\n\nGrid component key type for storing parent cells\n\n\n\n\n\n","category":"type"},{"location":"subgrid/#ExtendableGrids.FaceParents","page":"Subgrid","title":"ExtendableGrids.FaceParents","text":"abstract type FaceParents <: AbstractGridIntegerArray1D\n\nGrid component key type for storing parent faces (only for SubGrid relation when FaceNodes is instantiated)\n\n\n\n\n\n","category":"type"},{"location":"subgrid/#ExtendableGrids.NodeParents","page":"Subgrid","title":"ExtendableGrids.NodeParents","text":"abstract type NodeParents <: AbstractGridIntegerArray1D\n\nGrid component key type for storing node parents (=ids of nodes in ParentGrid) in an array\n\n\n\n\n\n","category":"type"},{"location":"subgrid/#ExtendableGrids.ParentGrid","page":"Subgrid","title":"ExtendableGrids.ParentGrid","text":"abstract type ParentGrid <: AbstractGridComponent\n\nGrid component key type for storing parent grid\n\n\n\n\n\n","category":"type"},{"location":"subgrid/#ExtendableGrids.ParentGridRelation","page":"Subgrid","title":"ExtendableGrids.ParentGridRelation","text":"abstract type ParentGridRelation <: AbstractGridComponent\n\nGrid component key type for storing parent grid relationship\n\n\n\n\n\n","category":"type"},{"location":"subgrid/#ExtendableGrids.RefinedGrid","page":"Subgrid","title":"ExtendableGrids.RefinedGrid","text":"abstract type RefinedGrid <: ParentGridRelation\n\nGrid component key type for indicating that grid is a refinement of the parentgrid\n\n\n\n\n\n","category":"type"},{"location":"subgrid/#ExtendableGrids.SubGrid","page":"Subgrid","title":"ExtendableGrids.SubGrid","text":"abstract type SubGrid{support} <: ParentGridRelation\n\nGrid component key type for indicating that grid is a subgrid of the parentgrid\n\n\n\n\n\n","category":"type"},{"location":"subgrid/#ExtendableGrids.SubgridVectorView","page":"Subgrid","title":"ExtendableGrids.SubgridVectorView","text":"struct SubgridVectorView{Tv, Ti} <: AbstractArray{Tv, 1}\n\nVector view on subgrid\n\nsysarray::AbstractVector\nnode_in_parent::Vector\n\n\n\n\n\n","category":"type"},{"location":"subgrid/#Base.getindex-Tuple{ExtendableGrids.SubgridVectorView, Integer}","page":"Subgrid","title":"Base.getindex","text":"getindex(\n aview::ExtendableGrids.SubgridVectorView,\n inode::Integer\n) -> Any\n\n\nAccessor method for subgrid vector view.\n\n\n\n\n\n","category":"method"},{"location":"subgrid/#Base.setindex!-Tuple{ExtendableGrids.SubgridVectorView, Any, Integer}","page":"Subgrid","title":"Base.setindex!","text":"setindex!(\n aview::ExtendableGrids.SubgridVectorView,\n v,\n inode::Integer\n) -> ExtendableGrids.SubgridVectorView\n\n\nAccessor method for subgrid vector view.\n\n\n\n\n\n","category":"method"},{"location":"subgrid/#Base.size-Tuple{ExtendableGrids.SubgridVectorView}","page":"Subgrid","title":"Base.size","text":"size(a::ExtendableGrids.SubgridVectorView) -> Tuple{Int64}\n\n\nReturn size of vector view.\n\n\n\n\n\n","category":"method"},{"location":"subgrid/#Base.view-Tuple{AbstractVector, ExtendableGrid}","page":"Subgrid","title":"Base.view","text":"view(a::AbstractVector, subgrid::ExtendableGrid) -> Any\n\n\nCreate a view of the vector on a subgrid.\n\n\n\n\n\n","category":"method"},{"location":"subgrid/#ExtendableGrids._copytransform!-Tuple{AbstractArray, AbstractArray}","page":"Subgrid","title":"ExtendableGrids._copytransform!","text":"_copytransform!(a::AbstractArray, b::AbstractArray)\n\n\nDefault transform for subgrid creation\n\n\n\n\n\n","category":"method"},{"location":"subgrid/#ExtendableGrids.subgrid-Union{Tuple{T}, Tuple{Any, AbstractArray}} where T","page":"Subgrid","title":"ExtendableGrids.subgrid","text":"subgrid(parent, \n subregions::AbstractArray; \n transform::T=function(a,b) @views a.=b[1:length(a)] end, \n boundary=false, \n coordinatesystem=codim1_coordinatesystem(parent[CoordinateSystem]), \n project=true) where T\n\nCreate subgrid from list of regions.\n\nparent: parent grid \nsubregions: Array of subregions which define the subgrid\n'support': support of subgrid, default is ONCELLS but can be also ONFACES or ON_BFACES to create codimension 1 subgrid from face/bfaces region\nboundary: if true, create codimension 1 subgrid from boundary regions (same as support = ON_BFACES)\ntransform (kw parameter): transformation function between grid and subgrid coordinates acting on one point.\ncoordinatesystem: if boundary==true, specify coordinate system for the boundary. Default: if parent coordinatesystem is cartesian, just the cooresponding codim1 coordinatesystem, otherwise: nothing, requiring user specification for use of e.g. CellFinder with the subgrid.\nproject: project coordinates onto subgrid dimension\n\nA subgrid is of type ExtendableGrid and stores two additional components: ParentGrid and NodeParents\n\n\n\n\n\n","category":"method"},{"location":"more/#Derived-adjacencies","page":"Derived adjacencies","title":"Derived adjacencies","text":"","category":"section"},{"location":"more/#API","page":"Derived adjacencies","title":"API","text":"","category":"section"},{"location":"more/","page":"Derived adjacencies","title":"Derived adjacencies","text":"Modules = [ExtendableGrids]\nPages = [\"derived.jl\",\"more.jl\"]","category":"page"},{"location":"more/#ExtendableGrids.BFaceCells","page":"Derived adjacencies","title":"ExtendableGrids.BFaceCells","text":"abstract type BFaceCells <: AbstractGridAdjacency\n\nAdjacency describing cells per boundary or interior face\n\n\n\n\n\n","category":"type"},{"location":"more/#ExtendableGrids.BFaceEdges","page":"Derived adjacencies","title":"ExtendableGrids.BFaceEdges","text":"abstract type BFaceEdges <: AbstractGridAdjacency\n\nAdjacency describing edges per boundary or interior face\n\n\n\n\n\n","category":"type"},{"location":"more/#ExtendableGrids.BFaceNormals","page":"Derived adjacencies","title":"ExtendableGrids.BFaceNormals","text":"abstract type BFaceNormals <: AbstractGridComponent\n\nAdjacency describing outer normals to boundary faces\n\n\n\n\n\n","category":"type"},{"location":"more/#ExtendableGrids.prepare_edges!-Tuple{ExtendableGrid}","page":"Derived adjacencies","title":"ExtendableGrids.prepare_edges!","text":"prepare_edges!(grid)\n\n\nPrepare edge adjacencies (celledges, edgecells, edgenodes)\n\nCurrently depends on ExtendableSparse, we may want to remove this adjacency.\n\n\n\n\n\n","category":"method"},{"location":"","page":"Home","title":"Home","text":"using Markdown\nMarkdown.parse(\"\"\"\n$(read(\"../../README.md\",String))\n\"\"\")","category":"page"},{"location":"coordinatesystem/#Coordinate-systems","page":"Coordinate systems","title":"Coordinate systems","text":"","category":"section"},{"location":"coordinatesystem/","page":"Coordinate systems","title":"Coordinate systems","text":"Coordinate systems are described via abstract types. The list of coordinate systems can be obtained with the coordinatesystems method:","category":"page"},{"location":"coordinatesystem/","page":"Coordinate systems","title":"Coordinate systems","text":"using ExtendableGrids # hide\ncoordinatesystems() #hide","category":"page"},{"location":"coordinatesystem/#API","page":"Coordinate systems","title":"API","text":"","category":"section"},{"location":"coordinatesystem/","page":"Coordinate systems","title":"Coordinate systems","text":"Modules = [ExtendableGrids]\nPages = [\"coordinatesystem.jl\"]","category":"page"},{"location":"coordinatesystem/#ExtendableGrids.AbstractCoordinateSystem","page":"Coordinate systems","title":"ExtendableGrids.AbstractCoordinateSystem","text":"abstract type AbstractCoordinateSystem <: AbstractExtendableGridApexType\n\nApex type for coordinate systems\n\n\n\n\n\n","category":"type"},{"location":"coordinatesystem/#ExtendableGrids.Cartesian1D","page":"Coordinate systems","title":"ExtendableGrids.Cartesian1D","text":"abstract type Cartesian1D <: AbstractCoordinateSystem\n\n1D cartesion coordinate system (unknown x)\n\n\n\n\n\n","category":"type"},{"location":"coordinatesystem/#ExtendableGrids.Cartesian2D","page":"Coordinate systems","title":"ExtendableGrids.Cartesian2D","text":"abstract type Cartesian2D <: AbstractCoordinateSystem\n\n2D cartesion coordinate system (unknowns x,y)\n\n\n\n\n\n","category":"type"},{"location":"coordinatesystem/#ExtendableGrids.Cartesian3D","page":"Coordinate systems","title":"ExtendableGrids.Cartesian3D","text":"abstract type Cartesian3D <: AbstractCoordinateSystem\n\n2D cartesion coordinate system (unknowns x,y,z)\n\n\n\n\n\n","category":"type"},{"location":"coordinatesystem/#ExtendableGrids.Cylindrical2D","page":"Coordinate systems","title":"ExtendableGrids.Cylindrical2D","text":"abstract type Cylindrical2D <: AbstractCoordinateSystem\n\n2D cylindrical coordinate system (unknowns r,z)\n\n\n\n\n\n","category":"type"},{"location":"coordinatesystem/#ExtendableGrids.Cylindrical3D","page":"Coordinate systems","title":"ExtendableGrids.Cylindrical3D","text":"abstract type Cylindrical3D <: AbstractCoordinateSystem\n\n3D cylindrical coordinate system (unknowns r,ϕ,z)\n\n\n\n\n\n","category":"type"},{"location":"coordinatesystem/#ExtendableGrids.Polar1D","page":"Coordinate systems","title":"ExtendableGrids.Polar1D","text":"abstract type Polar1D <: AbstractCoordinateSystem\n\n1D polar coordinate system (unknown r)\n\n\n\n\n\n","category":"type"},{"location":"coordinatesystem/#ExtendableGrids.Polar2D","page":"Coordinate systems","title":"ExtendableGrids.Polar2D","text":"abstract type Polar2D <: AbstractCoordinateSystem\n\n2D polar coordinate system (unknowns r,ϕ)\n\n\n\n\n\n","category":"type"},{"location":"coordinatesystem/#ExtendableGrids.Spherical1D","page":"Coordinate systems","title":"ExtendableGrids.Spherical1D","text":"abstract type Spherical1D <: AbstractCoordinateSystem\n\n1D spheriacal coordinate system (unknown r)\n\n\n\n\n\n","category":"type"},{"location":"coordinatesystem/#ExtendableGrids.Spherical3D","page":"Coordinate systems","title":"ExtendableGrids.Spherical3D","text":"abstract type Spherical3D <: AbstractCoordinateSystem\n\n3D spheriacal coordinate system (unknowns r,ϕ,θ)\n\n\n\n\n\n","category":"type"},{"location":"coordinatesystem/#ExtendableGrids.codim1_coordinatesystem-Union{Tuple{Type{T}}, Tuple{T}} where T<:AbstractCoordinateSystem","page":"Coordinate systems","title":"ExtendableGrids.codim1_coordinatesystem","text":"codim1_coordinatesystem(CoordinateSystem)\n\nReturn coordinate system for codimension 1 subgrid.\n\n\n\n\n\n","category":"method"},{"location":"coordinatesystem/#ExtendableGrids.coordinatesystems-Tuple{}","page":"Coordinate systems","title":"ExtendableGrids.coordinatesystems","text":"coordinatesystems()\n\n\nList possible coordinate systems. These describe the meaning of the grid coordinates.\n\n\n\n\n\n","category":"method"}] +} diff --git a/v1.10.2/shape_specs/index.html b/v1.10.2/shape_specs/index.html new file mode 100644 index 00000000..d8036c04 --- /dev/null +++ b/v1.10.2/shape_specs/index.html @@ -0,0 +1,43 @@ + +Shape specifications · ExtendableGrids.jl

    Shape specifications

    API

    diff --git a/v1.10.2/siteinfo.js b/v1.10.2/siteinfo.js new file mode 100644 index 00000000..313d3b61 --- /dev/null +++ b/v1.10.2/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "v1.10.2"; diff --git a/v1.10.2/subgrid/index.html b/v1.10.2/subgrid/index.html new file mode 100644 index 00000000..bf5d0d35 --- /dev/null +++ b/v1.10.2/subgrid/index.html @@ -0,0 +1,27 @@ + +Subgrid · ExtendableGrids.jl

    Subgrid

    Subgrids of an ExtendableGrid are again of the same type ExtendableGrid and unse the typed Dict mechanism to store linkage to the parent grid.

    grid=simplexgrid([1,2,3], [4,5,6])
    +sub=subgrid(grid,[2],boundary=true, transform=(a,b) -> (a[1]=10*b[2]))
    +println(keys(sub))
    +println(sub[Coordinates])
    Type{<:AbstractGridComponent}[NodeParents, CellNodes, CellParents, CellRegions, ParentGrid, NumBFaceRegions, Coordinates, CellGeometries, BFaceNodes, BFaceGeometries, CoordinateSystem, ParentGridRelation, BFaceRegions]
    +[40 50 60]

    Given a vector on the parent grid, one can create a view of this vecotor on the subgrid:

    grid=simplexgrid([1,2,3], [4,5,6])
    +sub=subgrid(grid,[2],boundary=true, transform=(a,b) -> (a[1]=10*b[2]))
    +v=[i for i=1:num_nodes(grid)]
    +subv=view(v,sub)
    +println(subv)
    [3, 6, 9]

    API

    ExtendableGrids.FaceParentsType
    abstract type FaceParents <: AbstractGridIntegerArray1D

    Grid component key type for storing parent faces (only for SubGrid relation when FaceNodes is instantiated)

    source
    ExtendableGrids.NodeParentsType
    abstract type NodeParents <: AbstractGridIntegerArray1D

    Grid component key type for storing node parents (=ids of nodes in ParentGrid) in an array

    source
    ExtendableGrids.RefinedGridType
    abstract type RefinedGrid <: ParentGridRelation

    Grid component key type for indicating that grid is a refinement of the parentgrid

    source
    ExtendableGrids.SubGridType
    abstract type SubGrid{support} <: ParentGridRelation

    Grid component key type for indicating that grid is a subgrid of the parentgrid

    source
    Base.getindexMethod
    getindex(
    +    aview::ExtendableGrids.SubgridVectorView,
    +    inode::Integer
    +) -> Any
    +

    Accessor method for subgrid vector view.

    source
    Base.setindex!Method
    setindex!(
    +    aview::ExtendableGrids.SubgridVectorView,
    +    v,
    +    inode::Integer
    +) -> ExtendableGrids.SubgridVectorView
    +

    Accessor method for subgrid vector view.

    source
    Base.sizeMethod
    size(a::ExtendableGrids.SubgridVectorView) -> Tuple{Int64}
    +

    Return size of vector view.

    source
    Base.viewMethod
    view(a::AbstractVector, subgrid::ExtendableGrid) -> Any
    +

    Create a view of the vector on a subgrid.

    source
    ExtendableGrids.subgridMethod
    subgrid(parent,                                                             
    +        subregions::AbstractArray;                                          
    +        transform::T=function(a,b) @views a.=b[1:length(a)] end,                                      
    +        boundary=false,                                                     
    +        coordinatesystem=codim1_coordinatesystem(parent[CoordinateSystem]), 
    +        project=true) where T

    Create subgrid from list of regions.

    • parent: parent grid
    • subregions: Array of subregions which define the subgrid
    • 'support': support of subgrid, default is ONCELLS but can be also ONFACES or ON_BFACES to create codimension 1 subgrid from face/bfaces region
    • boundary: if true, create codimension 1 subgrid from boundary regions (same as support = ON_BFACES)
    • transform (kw parameter): transformation function between grid and subgrid coordinates acting on one point.
    • coordinatesystem: if boundary==true, specify coordinate system for the boundary. Default: if parent coordinatesystem is cartesian, just the cooresponding codim1 coordinatesystem, otherwise: nothing, requiring user specification for use of e.g. CellFinder with the subgrid.
    • project: project coordinates onto subgrid dimension

    A subgrid is of type ExtendableGrid and stores two additional components: ParentGrid and NodeParents

    source
    diff --git a/v1.10.2/tdict/index.html b/v1.10.2/tdict/index.html new file mode 100644 index 00000000..98f2b386 --- /dev/null +++ b/v1.10.2/tdict/index.html @@ -0,0 +1,2 @@ + +The TDict interface pattern · ExtendableGrids.jl

    The TDict interface pattern

    Here we describe the idea behind the data structure used in this package. TDict means: extendable containers with type stable content access and lazy content creation via the Julia type system.

    Problem to be addressed

    In certain contexts it is desirable to use containers with core components which are user extendable and allow for type stable component acces. Moreover, some components are necessary on demand only, so they should be created lazily. Furthermore, there should be a kind of safety protocol which prevents errors from typos in component names etc.

    Julia default data structures do not provide these properties.

    struct

    • Julia structs with proper field type annotations guarantee type stability
    • Julia structs are not extendable, fields and their types are fixed upon definition
    • If we don't fix types of struct fields they become Any and a source for type instability
    • The situation could be fixed if getfield could be overloaded but it cant't

    Dict

    • Plain Dicts with flexible value types are a source of type instability
    • Dicts with strings as keys needs a meta protocol to handle semantics of keys which at the end probably hinges on string comparison which will make things slow
    • Dicts with symbols as keys still need this meta protocol
    • Same for the implementation of a lazy evaluation protocol
    • If a dict contains components of different types, component access will not be typestable

    Proposed solution:

    Harness the power of the Julia type system:

    • Use a struct containing a Dict with DataType as keys. Every key is a type.
    • Use type hierarchies to manage different value classes
    • Use the type system to dispatch between getindex/setindex! methods for keys
    • Extension requires declaring new types, keys can be only existing types almost removing typos as sources for errors
    • Lazy extension is managed bye an instantiate method called by getindex if necessary
    • Component access is made type stable by type dispatchedgetindex methods
    • Component insertion is made safe by having setindex! calling a veryform method

    Pros

    See above ...

    Cons

    • Implemented using a Dict, so access is inherently slower than access to a component of a struct. Therefore it is not well suited for inner loops.
    diff --git a/v1.10.2/tokenstream/index.html b/v1.10.2/tokenstream/index.html new file mode 100644 index 00000000..dbe7de31 --- /dev/null +++ b/v1.10.2/tokenstream/index.html @@ -0,0 +1,11 @@ + +Token streams · ExtendableGrids.jl

    Token streams

    The TokenStream struct supports reading of tokenizable ASCII files

    API

    ExtendableGrids.TokenStreamType
    mutable struct TokenStream

    Tokenstream allows to read tokenized data from file without keeping the file ocntent in memory.

    • input::IOStream: Input stream
    • tokens::Vector{SubString{String}}: Array of current tokens kept in memory.
    • itoken::Int64: Position of actual token in tokens array
    • lineno::Int64: Line number in IOStream
    • comment::Char: Comment character
    • dlm::Function: Function telling if given character is a delimiter.
    source
    Base.eofMethod
    eof(tks::TokenStream) -> Bool
    +

    Check if all tokens have been consumed.

    source
    ExtendableGrids.expecttokenMethod
    expecttoken(tks::TokenStream, expected::String) -> Bool
    +

    Expect keyword token.

    If token is missing, an UnexpectedTokenError is thrown If the token has been found, reading will continue at the position after the token found.

    source
    ExtendableGrids.trytokenMethod
    trytoken(tks::TokenStream, expected::String) -> Bool
    +

    Try for keyword token.

    It token is missing, the token read is put back into stream, a value of false is returned and the next try/gettoken command continues at the same position,

    Otherwise, true is returned, and reading continues after the token found.

    source
    diff --git a/v1.10.2/typehierarchy/index.html b/v1.10.2/typehierarchy/index.html new file mode 100644 index 00000000..21da13d5 --- /dev/null +++ b/v1.10.2/typehierarchy/index.html @@ -0,0 +1,124 @@ + +Type hierarchy · ExtendableGrids.jl

    Type hierarchy

    The package defines a hierarchy of abstract types to handle grid compoments. The full tree is listed here:

    AbstractExtendableGridApexType
    +├─ AbstractCoordinateSystem
    +│  ├─ Cartesian1D
    +│  ├─ Cartesian2D
    +│  ├─ Cartesian3D
    +│  ├─ Cylindrical2D
    +│  ├─ Cylindrical3D
    +│  ├─ Polar1D
    +│  ├─ Polar2D
    +│  ├─ Spherical1D
    +│  └─ Spherical3D
    +├─ AbstractElementGeometry
    +│  ├─ AbstractElementGeometry0D
    +│  │  └─ Vertex0D
    +│  ├─ AbstractElementGeometry1D
    +│  │  └─ Edge1D
    +│  ├─ AbstractElementGeometry2D
    +│  │  ├─ Circle2D
    +│  │  └─ Polygon2D
    +│  │     ├─ Hexagon2D
    +│  │     ├─ Pentagon2D
    +│  │     ├─ Quadrilateral2D
    +│  │     │  └─ Parallelogram2D
    +│  │     │     ⋮
    +│  │     │
    +│  │     └─ Triangle2D
    +│  ├─ AbstractElementGeometry3D
    +│  │  ├─ Polyhedron3D
    +│  │  │  ├─ Hexahedron3D
    +│  │  │  │  └─ Parallelepiped3D
    +│  │  │  │     ⋮
    +│  │  │  │
    +│  │  │  ├─ Prism3D
    +│  │  │  │  └─ TrianglePrism3D
    +│  │  │  └─ Tetrahedron3D
    +│  │  └─ Sphere3D
    +│  └─ AbstractElementGeometry4D
    +│     ├─ HyperCube4D
    +│     └─ Polychoron4D
    +└─ AbstractGridComponent
    +   ├─ AbstractElementGeometries
    +   │  ├─ BEdgeGeometries
    +   │  ├─ BFaceGeometries
    +   │  ├─ CellGeometries
    +   │  ├─ EdgeGeometries
    +   │  ├─ FaceGeometries
    +   │  ├─ UniqueBEdgeGeometries
    +   │  ├─ UniqueBFaceGeometries
    +   │  ├─ UniqueCellGeometries
    +   │  ├─ UniqueEdgeGeometries
    +   │  └─ UniqueFaceGeometries
    +   ├─ AbstractElementRegions
    +   │  ├─ BEdgeRegions
    +   │  ├─ BFaceRegions
    +   │  ├─ CellRegions
    +   │  ├─ EdgeRegions
    +   │  └─ FaceRegions
    +   ├─ AbstractGridAdjacency
    +   │  ├─ BEdgeAssemblyGroups
    +   │  ├─ BEdgeNodes
    +   │  ├─ BFaceAssemblyGroups
    +   │  ├─ BFaceCells
    +   │  ├─ BFaceEdges
    +   │  ├─ BFaceNodes
    +   │  ├─ CellAssemblyGroups
    +   │  ├─ CellEdgeSigns
    +   │  ├─ CellEdges
    +   │  ├─ CellFaceOrientations
    +   │  ├─ CellFaceSigns
    +   │  ├─ CellFaces
    +   │  ├─ CellNodes
    +   │  ├─ EdgeAssemblyGroups
    +   │  ├─ EdgeCells
    +   │  ├─ EdgeNodes
    +   │  ├─ FaceAssemblyGroups
    +   │  ├─ FaceCells
    +   │  ├─ FaceEdgeSigns
    +   │  ├─ FaceEdges
    +   │  └─ FaceNodes
    +   ├─ AbstractGridFloatArray1D
    +   │  ├─ BEdgeVolumes
    +   │  ├─ BFaceVolumes
    +   │  ├─ CellVolumes
    +   │  ├─ EdgeVolumes
    +   │  ├─ FaceVolumes
    +   │  ├─ XCoordinates
    +   │  ├─ YCoordinates
    +   │  └─ ZCoordinates
    +   ├─ AbstractGridFloatArray2D
    +   │  ├─ Coordinates
    +   │  ├─ EdgeTangents
    +   │  ├─ FaceNormals
    +   │  └─ VoronoiFaceCenters
    +   ├─ AbstractGridIntegerArray1D
    +   │  ├─ BEdgeEdges
    +   │  ├─ BFaceCellPos
    +   │  ├─ BFaceFaces
    +   │  ├─ BFaceParents
    +   │  ├─ CellParents
    +   │  ├─ FaceParents
    +   │  ├─ NodeInParent
    +   │  ├─ NodeParents
    +   │  ├─ NodePatchGroups
    +   │  ├─ NodePermutation
    +   │  ├─ PColorPartitions
    +   │  ├─ PartitionBFaces
    +   │  ├─ PartitionCells
    +   │  ├─ PartitionEdges
    +   │  └─ PartitionNodes
    +   ├─ AbstractGridIntegerArray2D
    +   ├─ BFaceNormals
    +   ├─ CoordinateSystem
    +   ├─ AbstractGridFloatConstant
    +   ├─ AbstractGridIntegerConstant
    +   │  ├─ NumBEdgeRegions
    +   │  ├─ NumBFaceRegions
    +   │  └─ NumCellRegions
    +   ├─ ParentGrid
    +   └─ ParentGridRelation
    +      ├─ RefinedGrid
    +      └─ SubGrid

    API

    diff --git a/v1.10.2/vectorofconstants/index.html b/v1.10.2/vectorofconstants/index.html new file mode 100644 index 00000000..10a78c28 --- /dev/null +++ b/v1.10.2/vectorofconstants/index.html @@ -0,0 +1,11 @@ + +Vector of constants · ExtendableGrids.jl

    Vector of constants

    Datatype to store vector with a constant value.

    API

    Base.iterateMethod
    iterate(
    +    v::VectorOfConstants,
    +    state
    +) -> Union{Nothing, Tuple{Any, Any}}
    +

    Iterator

    source
    Base.uniqueMethod
    unique(v::VectorOfConstants) -> Vector
    +

    Shortcut for unique

    source
    diff --git a/v1.10.2/voronoi/index.html b/v1.10.2/voronoi/index.html new file mode 100644 index 00000000..854e8ce1 --- /dev/null +++ b/v1.10.2/voronoi/index.html @@ -0,0 +1,3 @@ + +Voronoi tools · ExtendableGrids.jl
    diff --git a/versions.js b/versions.js index 032a613e..e084fd1f 100644 --- a/versions.js +++ b/versions.js @@ -21,5 +21,5 @@ var DOC_VERSIONS = [ "v0.2", "dev", ]; -var DOCUMENTER_NEWEST = "v1.10.1"; +var DOCUMENTER_NEWEST = "v1.10.2"; var DOCUMENTER_STABLE = "stable";