From 68df78eee7ae406939353f1a13fe28edcb25bd9a Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Mon, 24 Jul 2023 10:57:33 +0000 Subject: [PATCH] build based on db9e642 --- stable | 2 +- v0.6 | 2 +- v0.6.1/assets/documenter.js | 331 ++++++++++++++++++++++ v0.6.1/assets/logo.svg | 323 +++++++++++++++++++++ v0.6.1/assets/search.js | 267 +++++++++++++++++ v0.6.1/assets/themes/documenter-dark.css | 7 + v0.6.1/assets/themes/documenter-light.css | 9 + v0.6.1/assets/themeswap.js | 66 +++++ v0.6.1/assets/warner.js | 49 ++++ v0.6.1/index.html | 24 ++ v0.6.1/options/index.html | 57 ++++ v0.6.1/reference/index.html | 2 + v0.6.1/search/index.html | 2 + v0.6.1/search_index.js | 3 + v0.6.1/siteinfo.js | 1 + v0.6.1/usage/index.html | 139 +++++++++ versions.js | 2 +- 17 files changed, 1283 insertions(+), 3 deletions(-) create mode 100644 v0.6.1/assets/documenter.js create mode 100644 v0.6.1/assets/logo.svg create mode 100644 v0.6.1/assets/search.js create mode 100644 v0.6.1/assets/themes/documenter-dark.css create mode 100644 v0.6.1/assets/themes/documenter-light.css create mode 100644 v0.6.1/assets/themeswap.js create mode 100644 v0.6.1/assets/warner.js create mode 100644 v0.6.1/index.html create mode 100644 v0.6.1/options/index.html create mode 100644 v0.6.1/reference/index.html create mode 100644 v0.6.1/search/index.html create mode 100644 v0.6.1/search_index.js create mode 100644 v0.6.1/siteinfo.js create mode 100644 v0.6.1/usage/index.html diff --git a/stable b/stable index e07d136..45a9970 120000 --- a/stable +++ b/stable @@ -1 +1 @@ -v0.6.0 \ No newline at end of file +v0.6.1 \ No newline at end of file diff --git a/v0.6 b/v0.6 index e07d136..45a9970 120000 --- a/v0.6 +++ b/v0.6 @@ -1 +1 @@ -v0.6.0 \ No newline at end of file +v0.6.1 \ No newline at end of file diff --git a/v0.6.1/assets/documenter.js b/v0.6.1/assets/documenter.js new file mode 100644 index 0000000..6adfbbb --- /dev/null +++ b/v0.6.1/assets/documenter.js @@ -0,0 +1,331 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia.min', + 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', + 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min', + 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/contrib/auto-render.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min', + 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', + 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min', + 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/highlight.min', + 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia-repl.min', + }, + shim: { + "highlight-julia": { + "deps": [ + "highlight" + ] + }, + "katex-auto-render": { + "deps": [ + "katex" + ] + }, + "headroom-jquery": { + "deps": [ + "jquery", + "headroom" + ] + }, + "highlight-julia-repl": { + "deps": [ + "highlight" + ] + } +} +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) { +$(document).ready(function() { + renderMathInElement( + document.body, + { + "delimiters": [ + { + "left": "$", + "right": "$", + "display": false + }, + { + "left": "$$", + "right": "$$", + "display": true + }, + { + "left": "\\[", + "right": "\\]", + "display": true + } + ] +} + + ); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) { +$(document).ready(function() { + hljs.highlightAll(); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fas", "fa-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-times"); + 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-times"); + }, 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() { + $('#documenter .docs-navbar').headroom({ + "tolerance": {"up": 10, "down": 10}, + }); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// 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 + $(document).keyup(function(e) { + if (e.keyCode == 27) settings.removeClass('is-active'); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// 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 = $("#documenter .docs-menu .is-active").get(0); + if(typeof active !== 'undefined') { + sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; + } +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +function set_theme(theme) { + var active = null; + var disabled = []; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + var themename = ss.ownerNode.getAttribute("data-theme-name"); + if(themename === null) continue; // ignore non-theme stylesheets + // Find the active theme + if(themename === theme) active = ss; + else disabled.push(ss); + } + if(active !== null) { + active.disabled = false; + if(active.ownerNode.getAttribute("data-theme-primary") === null) { + document.getElementsByTagName('html')[0].className = "theme--" + theme; + } else { + document.getElementsByTagName('html')[0].className = ""; + } + disabled.forEach(function(ss){ + ss.disabled = true; + }); + } + + // Store the theme in localStorage + if(typeof(window.localStorage) !== "undefined") { + window.localStorage.setItem("documenter-theme", theme); + } else { + console.error("Browser does not support window.localStorage"); + } +} + +// Theme picker setup +$(document).ready(function() { + // onchange callback + $('#documenter-themepicker').change(function themepick_callback(ev){ + var themename = $('#documenter-themepicker option:selected').attr('value'); + set_theme(themename); + }); + + // 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); + }) + } else { + $('#documenter-themepicker option').each(function(i,e) { + e.selected = $("html").hasClass(`theme--${e.value}`); + }) + } + } +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// update the version selector with info from the siteinfo.js and ../versions.js files +$(document).ready(function() { + // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the + // siteinfo.js file, we just return immediately and not display the version selector. + if (typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === 'boolean' && DOCUMENTER_VERSION_SELECTOR_DISABLED) { + return; + } + + var version_selector = $("#documenter .docs-version-selector"); + var version_selector_select = $("#documenter .docs-version-selector select"); + + version_selector_select.change(function(x) { + target_href = version_selector_select.children("option:selected").get(0).value; + window.location.href = target_href; + }); + + // add the current version to the selector based on siteinfo.js, but only if the selector is empty + if (typeof DOCUMENTER_CURRENT_VERSION !== 'undefined' && $('#version-selector > option').length == 0) { + var option = $(""); + version_selector_select.append(option); + } + + if (typeof DOC_VERSIONS !== 'undefined') { + var existing_versions = version_selector_select.children("option"); + var existing_versions_texts = existing_versions.map(function(i,x){return x.text}); + DOC_VERSIONS.forEach(function(each) { + var version_url = documenterBaseURL + "/../" + each; + var existing_id = $.inArray(each, existing_versions_texts); + // if not already in the version selector, add it as a new option, + // otherwise update the old option with the URL and enable it + if (existing_id == -1) { + var option = $(""); + version_selector_select.append(option); + } else { + var option = existing_versions[existing_id]; + option.value = version_url; + option.disabled = false; + } + }); + } + + // only show the version selector if the selector has been populated + if (version_selector_select.children("option").length > 0) { + version_selector.toggleClass("visible"); + } +}) + +}) diff --git a/v0.6.1/assets/logo.svg b/v0.6.1/assets/logo.svg new file mode 100644 index 0000000..c7c7cdf --- /dev/null +++ b/v0.6.1/assets/logo.svg @@ -0,0 +1,323 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + image/svg+xml + + + + + + + + + + + + + + + + diff --git a/v0.6.1/assets/search.js b/v0.6.1/assets/search.js new file mode 100644 index 0000000..c133f74 --- /dev/null +++ b/v0.6.1/assets/search.js @@ -0,0 +1,267 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min', + 'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min', + } +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'lunr', 'lodash'], function($, lunr, _) { + +$(document).ready(function() { + // parseUri 1.2.2 + // (c) Steven Levithan + // MIT License + function parseUri (str) { + var o = parseUri.options, + m = o.parser[o.strictMode ? "strict" : "loose"].exec(str), + uri = {}, + i = 14; + + while (i--) uri[o.key[i]] = m[i] || ""; + + uri[o.q.name] = {}; + uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) { + if ($1) uri[o.q.name][$1] = $2; + }); + + return uri; + }; + parseUri.options = { + strictMode: false, + key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"], + q: { + name: "queryKey", + parser: /(?:^|&)([^&=]*)=?([^&]*)/g + }, + parser: { + strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/, + loose: /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/ + } + }; + + $("#search-form").submit(function(e) { + e.preventDefault() + }) + + // list below is the lunr 2.1.3 list minus the intersect with names(Base) + // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) + // ideally we'd just filter the original list but it's not available as a variable + lunr.stopWordFilter = lunr.generateStopWordFilter([ + 'a', + 'able', + 'about', + 'across', + 'after', + 'almost', + 'also', + 'am', + 'among', + 'an', + 'and', + 'are', + 'as', + 'at', + 'be', + 'because', + 'been', + 'but', + 'by', + 'can', + 'cannot', + 'could', + 'dear', + 'did', + 'does', + 'either', + 'ever', + 'every', + 'from', + 'got', + 'had', + 'has', + 'have', + 'he', + 'her', + 'hers', + 'him', + 'his', + 'how', + 'however', + 'i', + 'if', + 'into', + 'it', + 'its', + 'just', + 'least', + 'like', + 'likely', + 'may', + 'me', + 'might', + 'most', + 'must', + 'my', + 'neither', + 'no', + 'nor', + 'not', + 'of', + 'off', + 'often', + 'on', + 'or', + 'other', + 'our', + 'own', + 'rather', + 'said', + 'say', + 'says', + 'she', + 'should', + 'since', + 'so', + 'some', + 'than', + 'that', + 'the', + 'their', + 'them', + 'then', + 'there', + 'these', + 'they', + 'this', + 'tis', + 'to', + 'too', + 'twas', + 'us', + 'wants', + 'was', + 'we', + 'were', + 'what', + 'when', + 'who', + 'whom', + 'why', + 'will', + 'would', + 'yet', + 'you', + 'your' + ]) + + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!" + // would not find anything if searching for "add!", only for the entire qualification + lunr.tokenizer.separator = /[\s\-\.]+/ + + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + lunr.trimmer = function (token) { + return token.update(function (s) { + return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '') + }) + } + + lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter') + lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer') + + var index = lunr(function () { + this.ref('location') + this.field('title',{boost: 100}) + this.field('text') + documenterSearchIndex['docs'].forEach(function(e) { + this.add(e) + }, this) + }) + var store = {} + + documenterSearchIndex['docs'].forEach(function(e) { + store[e.location] = {title: e.title, category: e.category, page: e.page} + }) + + $(function(){ + searchresults = $('#documenter-search-results'); + searchinfo = $('#documenter-search-info'); + searchbox = $('#documenter-search-query'); + searchform = $('.docs-search'); + sidebar = $('.docs-sidebar'); + function update_search(querystring) { + tokens = lunr.tokenizer(querystring) + results = index.query(function (q) { + tokens.forEach(function (t) { + q.term(t.toString(), { + fields: ["title"], + boost: 100, + usePipeline: true, + editDistance: 0, + wildcard: lunr.Query.wildcard.NONE + }) + q.term(t.toString(), { + fields: ["title"], + boost: 10, + usePipeline: true, + editDistance: 2, + wildcard: lunr.Query.wildcard.NONE + }) + q.term(t.toString(), { + fields: ["text"], + boost: 1, + usePipeline: true, + editDistance: 0, + wildcard: lunr.Query.wildcard.NONE + }) + }) + }) + searchinfo.text("Number of results: " + results.length) + searchresults.empty() + results.forEach(function(result) { + data = store[result.ref] + link = $(''+data.title+'') + link.attr('href', documenterBaseURL+'/'+result.ref) + if (data.category != "page"){ + cat = $('('+data.category+', '+data.page+')') + } else { + cat = $('('+data.category+')') + } + li = $('
  • ').append(link).append(" ").append(cat) + searchresults.append(li) + }) + } + + function update_search_box() { + querystring = searchbox.val() + update_search(querystring) + } + + searchbox.keyup(_.debounce(update_search_box, 250)) + searchbox.change(update_search_box) + + // Disable enter-key form submission for the searchbox on the search page + // and just re-run search rather than refresh the whole page. + searchform.keypress( + function(event){ + if (event.which == '13') { + if (sidebar.hasClass('visible')) { + sidebar.removeClass('visible'); + } + update_search_box(); + event.preventDefault(); + } + } + ); + + search_query_uri = parseUri(window.location).queryKey["q"] + if(search_query_uri !== undefined) { + search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20')) + searchbox.val(search_query) + } + update_search_box(); + }) +}) + +}) diff --git a/v0.6.1/assets/themes/documenter-dark.css b/v0.6.1/assets/themes/documenter-dark.css new file mode 100644 index 0000000..c94a294 --- /dev/null +++ b/v0.6.1/assets/themes/documenter-dark.css @@ -0,0 +1,7 @@ +@keyframes spinAround{from{transform:rotate(0deg)}to{transform:rotate(359deg)}}html.theme--documenter-dark .tabs,html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link,html.theme--documenter-dark .pagination-ellipsis,html.theme--documenter-dark .breadcrumb,html.theme--documenter-dark .file,html.theme--documenter-dark .button,.is-unselectable,html.theme--documenter-dark .modal-close,html.theme--documenter-dark .delete{-webkit-touch-callout:none;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none}html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after,html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after{border:3px solid rgba(0,0,0,0);border-radius:2px;border-right:0;border-top:0;content:" 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kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content 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.button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--documenter-dark .content 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1055px){html.theme--documenter-dark .navbar>.container{display:block}html.theme--documenter-dark .navbar-brand .navbar-item,html.theme--documenter-dark .navbar-tabs .navbar-item{align-items:center;display:flex}html.theme--documenter-dark .navbar-link::after{display:none}html.theme--documenter-dark .navbar-menu{background-color:#375a7f;box-shadow:0 8px 16px rgba(10,10,10,0.1);padding:0.5rem 0}html.theme--documenter-dark .navbar-menu.is-active{display:block}html.theme--documenter-dark .navbar.is-fixed-bottom-touch,html.theme--documenter-dark .navbar.is-fixed-top-touch{left:0;position:fixed;right:0;z-index:30}html.theme--documenter-dark .navbar.is-fixed-bottom-touch{bottom:0}html.theme--documenter-dark .navbar.is-fixed-bottom-touch.has-shadow{box-shadow:0 -2px 3px rgba(10,10,10,0.1)}html.theme--documenter-dark .navbar.is-fixed-top-touch{top:0}html.theme--documenter-dark .navbar.is-fixed-top .navbar-menu,html.theme--documenter-dark .navbar.is-fixed-top-touch 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a.navbar-item:hover{background-color:rgba(0,0,0,0);color:#dbdee0}html.theme--documenter-dark .navbar-dropdown a.navbar-item.is-active{background-color:rgba(0,0,0,0);color:#1abc9c}.navbar.is-spaced html.theme--documenter-dark .navbar-dropdown,html.theme--documenter-dark .navbar-dropdown.is-boxed{border-radius:8px;border-top:none;box-shadow:0 8px 8px rgba(10,10,10,0.1), 0 0 0 1px rgba(10,10,10,0.1);display:block;opacity:0;pointer-events:none;top:calc(100% + (-4px));transform:translateY(-5px);transition-duration:86ms;transition-property:opacity, transform}html.theme--documenter-dark .navbar-dropdown.is-right{left:auto;right:0}html.theme--documenter-dark .navbar-divider{display:block}html.theme--documenter-dark .navbar>.container .navbar-brand,html.theme--documenter-dark .container>.navbar .navbar-brand{margin-left:-.75rem}html.theme--documenter-dark .navbar>.container .navbar-menu,html.theme--documenter-dark .container>.navbar .navbar-menu{margin-right:-.75rem}html.theme--documenter-dark .navbar.is-fixed-bottom-desktop,html.theme--documenter-dark .navbar.is-fixed-top-desktop{left:0;position:fixed;right:0;z-index:30}html.theme--documenter-dark .navbar.is-fixed-bottom-desktop{bottom:0}html.theme--documenter-dark .navbar.is-fixed-bottom-desktop.has-shadow{box-shadow:0 -2px 3px rgba(10,10,10,0.1)}html.theme--documenter-dark .navbar.is-fixed-top-desktop{top:0}html.theme--documenter-dark html.has-navbar-fixed-top-desktop,html.theme--documenter-dark body.has-navbar-fixed-top-desktop{padding-top:4rem}html.theme--documenter-dark html.has-navbar-fixed-bottom-desktop,html.theme--documenter-dark body.has-navbar-fixed-bottom-desktop{padding-bottom:4rem}html.theme--documenter-dark html.has-spaced-navbar-fixed-top,html.theme--documenter-dark body.has-spaced-navbar-fixed-top{padding-top:6rem}html.theme--documenter-dark html.has-spaced-navbar-fixed-bottom,html.theme--documenter-dark body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--documenter-dark a.navbar-item.is-active,html.theme--documenter-dark .navbar-link.is-active{color:#1abc9c}html.theme--documenter-dark a.navbar-item.is-active:not(:focus):not(:hover),html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--documenter-dark .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--documenter-dark .pagination{font-size:15px;margin:-.25rem}html.theme--documenter-dark .pagination.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.85em}html.theme--documenter-dark .pagination.is-medium{font-size:1.25rem}html.theme--documenter-dark .pagination.is-large{font-size:1.5rem}html.theme--documenter-dark .pagination.is-rounded .pagination-previous,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.pagination .pagination-previous,html.theme--documenter-dark .pagination.is-rounded .pagination-next,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.pagination .pagination-next{padding-left:1em;padding-right:1em;border-radius:290486px}html.theme--documenter-dark .pagination.is-rounded .pagination-link,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.pagination .pagination-link{border-radius:290486px}html.theme--documenter-dark .pagination,html.theme--documenter-dark .pagination-list{align-items:center;display:flex;justify-content:center;text-align:center}html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link,html.theme--documenter-dark .pagination-ellipsis{font-size:1em;justify-content:center;margin:.25rem;padding-left:.5em;padding-right:.5em;text-align:center}html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link{border-color:#5e6d6f;color:#1abc9c;min-width:2.25em}html.theme--documenter-dark .pagination-previous:hover,html.theme--documenter-dark .pagination-next:hover,html.theme--documenter-dark .pagination-link:hover{border-color:#8c9b9d;color:#1dd2af}html.theme--documenter-dark .pagination-previous:focus,html.theme--documenter-dark .pagination-next:focus,html.theme--documenter-dark .pagination-link:focus{border-color:#8c9b9d}html.theme--documenter-dark .pagination-previous:active,html.theme--documenter-dark .pagination-next:active,html.theme--documenter-dark .pagination-link:active{box-shadow:inset 0 1px 2px rgba(10,10,10,0.2)}html.theme--documenter-dark .pagination-previous[disabled],html.theme--documenter-dark 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ul.is-center{flex:none;justify-content:center;padding-left:0.75em;padding-right:0.75em}html.theme--documenter-dark .tabs ul.is-right{justify-content:flex-end;padding-left:0.75em}html.theme--documenter-dark .tabs .icon:first-child{margin-right:0.5em}html.theme--documenter-dark .tabs .icon:last-child{margin-left:0.5em}html.theme--documenter-dark .tabs.is-centered ul{justify-content:center}html.theme--documenter-dark .tabs.is-right ul{justify-content:flex-end}html.theme--documenter-dark .tabs.is-boxed a{border:1px solid transparent;border-radius:.4em .4em 0 0}html.theme--documenter-dark .tabs.is-boxed a:hover{background-color:#282f2f;border-bottom-color:#5e6d6f}html.theme--documenter-dark .tabs.is-boxed li.is-active a{background-color:#fff;border-color:#5e6d6f;border-bottom-color:rgba(0,0,0,0) !important}html.theme--documenter-dark .tabs.is-fullwidth li{flex-grow:1;flex-shrink:0}html.theme--documenter-dark .tabs.is-toggle a{border-color:#5e6d6f;border-style:solid;border-width:1px;margin-bottom:0;position:relative}html.theme--documenter-dark .tabs.is-toggle a:hover{background-color:#282f2f;border-color:#8c9b9d;z-index:2}html.theme--documenter-dark .tabs.is-toggle li+li{margin-left:-1px}html.theme--documenter-dark .tabs.is-toggle li:first-child a{border-radius:.4em 0 0 .4em}html.theme--documenter-dark .tabs.is-toggle li:last-child a{border-radius:0 .4em .4em 0}html.theme--documenter-dark .tabs.is-toggle li.is-active a{background-color:#1abc9c;border-color:#1abc9c;color:#fff;z-index:1}html.theme--documenter-dark .tabs.is-toggle ul{border-bottom:none}html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:first-child a{border-bottom-left-radius:290486px;border-top-left-radius:290486px;padding-left:1.25em}html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:last-child a{border-bottom-right-radius:290486px;border-top-right-radius:290486px;padding-right:1.25em}html.theme--documenter-dark 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Gets put into the tag.. +function set_theme_from_local_storage() { + // Intialize 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 browser supports user color preference + var darkPreference = false; + // Check if the users preference is for dark color scheme + if(window.matchMedia('(prefers-color-scheme: dark)').matches === true) { + darkPreference = 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 darkTheme = 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. + var isprimary = (ss.ownerNode.getAttribute("data-theme-primary") !== null); + // Check if the theme is primary dark theme + var isDarkTheme = (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null); + // If ss is for dark theme then set the value of darkTheme to the name of the theme + if(isDarkTheme) darkTheme = 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); + } + 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; + // and (2) disable all the other theme stylesheets + disabled.forEach(function(ss){ + ss.disabled = true; + }); + } + else if(darkTheme !== null && darkPreference === true) { + // If we did find an active theme, we'll (1) add the theme--$(theme) class to + document.getElementsByTagName('html')[0].className = "theme--" + darkTheme; + // and (2) disable all the other theme stylesheets + disabled.forEach(function(ss){ + if (ss.ownerNode.getAttribute("data-theme-name") !== darkTheme) { + ss.disabled = true; + } + }); + } +} +set_theme_from_local_storage(); diff --git a/v0.6.1/assets/warner.js b/v0.6.1/assets/warner.js new file mode 100644 index 0000000..5531c88 --- /dev/null +++ b/v0.6.1/assets/warner.js @@ -0,0 +1,49 @@ +function maybeAddWarning () { + // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE + // in siteinfo.js. + // If either of these are undefined something went horribly wrong, so we abort. + if ( + window.DOCUMENTER_NEWEST === undefined || + window.DOCUMENTER_CURRENT_VERSION === undefined || + window.DOCUMENTER_STABLE === undefined + ) { + return + }; + + // Current version is not a version number, so we can't tell if it's the newest version. Abort. + if (!/v(\d+\.)*\d+/.test(window.DOCUMENTER_CURRENT_VERSION)) { + return + }; + + // Current version is newest version, so no need to add a warning. + if (window.DOCUMENTER_NEWEST === window.DOCUMENTER_CURRENT_VERSION) { + return + }; + + // Add a noindex meta tag (unless one exists) so that search engines don't index this version of the docs. + if (document.body.querySelector('meta[name="robots"]') === null) { + const meta = document.createElement('meta'); + meta.name = 'robots'; + meta.content = 'noindex'; + + document.getElementsByTagName('head')[0].appendChild(meta); + }; + + const div = document.createElement('div'); + div.classList.add('outdated-warning-overlay'); + const closer = document.createElement('button'); + closer.classList.add('outdated-warning-closer', 'delete'); + closer.addEventListener('click', function () { + document.body.removeChild(div); + }); + const href = window.documenterBaseURL + '/../' + window.DOCUMENTER_STABLE; + div.innerHTML = 'This documentation is not for the latest stable release, but for either the development version or an older release.
    Click here to go to the documentation for the latest stable release.'; + div.appendChild(closer); + document.body.appendChild(div); +}; + +if (document.readyState === 'loading') { + document.addEventListener('DOMContentLoaded', maybeAddWarning); +} else { + maybeAddWarning(); +}; diff --git a/v0.6.1/index.html b/v0.6.1/index.html new file mode 100644 index 0000000..8f9d147 --- /dev/null +++ b/v0.6.1/index.html @@ -0,0 +1,24 @@ + +Installation · SPGBox.jl
    Edit on GitHub

    SPGBox

    SPGBox is a pure-Julia implementation of the Spectral Projected Gradient Method for minimization in box constraints, as described in:

    E. G. Birgin, J. M. Martínez and M. Raydan, "Nonmonotone spectral projected gradient methods on convex sets", SIAM Journal on Optimization 10, pp. 1196-1211, 2000. (LINK)

    How to install

    julia> using Pkg
+
+julia> Pkg.add("SPGBox")

    or, more concisely,

    julia> ] add SPGBox
+

    Quick usage example

    Define the function to compute the objective function and the gradient, for example with:

    julia> f(x) = x[1]^2 + x[2]^2
+
+julia> function g!(g,x)
+           g[1] = 2*x[1]
+           g[2] = 2*x[2]
+       end

    And the objective function can be minimized with optional box bounds. Here, with a lower bound of 2 for the first variable:

    julia> x = 2 .+ rand(2)
+
+julia> spgbox!(f,g!,x,lower=[2.,-Inf])
+
+ SPGBOX RESULT: 
+
+ Convergence achieved. 
+
+ Final objective function value = 4.0
+ Sample of best point = Vector{Float64}[ 2.0, 0.0]
+ Projected gradient norm = 0.0
+
+ Number of iterations = 3
+ Number of function evaluations = 3
+

    The spgbox! function mutates the content of the input x vector (and will not allocate anything if the auxiliary vectors are provide d as described here). Use spgbox, to internaly copy the x array and not mutate it.

    diff --git a/v0.6.1/options/index.html b/v0.6.1/options/index.html new file mode 100644 index 0000000..6af1054 --- /dev/null +++ b/v0.6.1/options/index.html @@ -0,0 +1,57 @@ + +Options · SPGBox.jl
    Edit on GitHub

    Options

    Several keyword parameters can be used to adjust the convergence criteria and to deal with the memory management of the execution.

    Mutating or not mutating the initial point

    Two solver functions are available: spgbox! and spgbox. The only difference is that spgbox! operates inplace in the input vector, while spgbox creates a copy of it and leaves the input variable unchanged. To perform completely non-allocating executions, use spgbox! and preallocate the auxiliary vectors.

    Function and gradient with one function

    Sometimes it is convenient, and more effective, to compute the function and gradient with the same function. This can be done with SPGBox by defining a function, for example fg!(g,x) which updates the gradient array g, and returns the function value fx. For example:

    julia> function fg!(g,x)
+           fx = zero(eltype(x))
+           for i in eachindex(x)
+               fx += (x[i] - i)^2
+               g[i] = 2*(x[i] - i)
+           end
+           return fx
+       end
+fg! (generic function with 1 method)
+
+julia> x = [10.0, 11.0, 12.0];
+
+julia> spgbox(fg!,x)
+
+ SPGBOX RESULT: 
+
+ Convergence achieved.
+
+ Final objective function value = 0.0
+ Sample of best point = Vector{Float64}[ 1.0, 2.0, 3.0]
+ Projected gradient norm = 0.0
+
+ Number of iterations = 3
+ Number of function evaluations = 3

    Convergence criteria

    Parameters exist to set the convergence threshold, maximum number of iterations, maximum number of functional evaluations, and number of possibly non-monotone steps.

    These keywords provided to spgbox! with, for example:

    julia> R = spgbox!(f,g!,x,nitmax=1000)

    where nitmax, in this case, is the maximum number of iterations.

    The available keywords are:

    KeywordTypeMeaningDefault value
    nitmaxIntegerMaximum number of iterations allowed.100
    nfevalmaxIntegerMaximum number of function evaluations allowed.1000
    epseltype(x)Convergence criteria for the projected gradient norm.1e-5
    mIntegerNumber of non-monotone search steps.10

    Memory preallocation

    The SPGBox method requires four auxiliary vectors, three of them of length equal to the number of variables (g, xn and gn), and a vector of length equal to the number of non-monotone steps allowed, fprev, of dimension, m (see below).

    These vectors are allocated in the SPGBox.VAux data structure. For preallocating the auxiliary vectors, initialize this data structure before calling spgbox! and pass the data structure using the vaux argument. In brief, given that the vector of variables is x, and the function is f(x), do:

    julia> x = rand(1_000_000);
+
+julia> auxvecs = SPGBox.VAux(x,f(x))
+
+julia> R = spgbox!(f,g!,x,vaux=auxvecs)
+

    That is, the SPGBox.Vaux constructor receives an example of x and an example of the output of f(x) and with that constructs the structure of auxiliary arrays.

    For example, let us minimize the sum of squares of one million variables:

    julia> function f(x)
+           f = zero(eltype(x))
+           for i in eachindex(x)
+               f += x[i]^2
+           end
+           f
+       end
+f (generic function with 1 methods)
+
+julia> function g!(g,x)
+           for i in eachindex(x)
+               g[i] = 2*x[i]
+           end
+       end
+g! (generic function with 1 methods)
+
+julia> n = 1_000_000
+
+julia> x = rand(n);
+

    Without preallocating the auxiliary arrays:

    julia> using BenchmarkTools
+
+julia> @btime spgbox!($f,$g!,$x)
+  8.705 ms (16 allocations: 45.78 MiB)
+

    Now we will preallocate all auxiliary arrays. 

    julia> auxvecs = SPGBox.VAux(x,f(x));
+

    And these arrays will be passed as arguments to the spgbox! function:

    julia> @btime spgbox!($f,$g!,$x,vaux=$auxvecs)
+  3.414 ms (0 allocations: 0 bytes)
+

    While SPG is very memory efficient, pré-allocation of the arrays reduces significanltly the use of memory, which might be important for multiple executions of the the same code, for example in multi-start approach for global-minimum search.

    Size and preallocation of fprev

    The auxiliary vector fprev stores the information of the function value of the last m function evaluations, which is the number of non-monotone steps allowed. Thus, it is a vector of size m which is also preallocated by SPGBox.VAux. By default, it is allocated to length 10, which is the default value for m. If m is modified by the user and preallocation will be done, the new m value must be provided to SPGBox.VAux, with:

    julia> auxvecs = SPGBox.VAux(x,f(x),m=5)
+

    Additional keywords available

    Additional keywords available:

    KeywordTypeMeaningDefault value
    iprintIntegerPrinting details (0, 1, or 2)0
    project_x0BoolProjects, or not, the initial point on the bounds.true
    callbackUnion{<:Function,Nothing}Callback functionnothing
    lowerAbstractVecOrMatArray of lower boundsnothing
    upperAbstractVecOrMatArray of upper boundsnothing
    diff --git a/v0.6.1/reference/index.html b/v0.6.1/reference/index.html new file mode 100644 index 0000000..2774c3b --- /dev/null +++ b/v0.6.1/reference/index.html @@ -0,0 +1,2 @@ + +Reference · SPGBox.jl
    Edit on GitHub

    Primary citation of the algorithm:

    E. G. Birgin, J. M. Martínez and M. Raydan, "Nonmonotone spectral projected gradient methods on convex sets", SIAM Journal on Optimization 10, pp. 1196-1211, 2000. (LINK)

    diff --git a/v0.6.1/search/index.html b/v0.6.1/search/index.html new file mode 100644 index 0000000..bdb5fb1 --- /dev/null +++ b/v0.6.1/search/index.html @@ -0,0 +1,2 @@ + +Search · SPGBox.jl

    Loading search...

      diff --git a/v0.6.1/search_index.js b/v0.6.1/search_index.js new file mode 100644 index 0000000..06ae067 --- /dev/null +++ b/v0.6.1/search_index.js @@ -0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"usage/#User-guide","page":"User guide","title":"User guide","text":"","category":"section"},{"location":"usage/#Definition-of-the-objective-function-and-gradient-functions","page":"User guide","title":"Definition of the objective function and gradient functions","text":"","category":"section"},{"location":"usage/","page":"User guide","title":"User guide","text":"A function must be defined receiving as argument the current point as a vector: ","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"julia> f(x) = x[1]^2 + (x[2]-2)^2","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"And the gradient must receive as arguments the vector of variables and a vector which will be modified to contain the gradient at the current point:","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"julia> function g!(g,x)\n g[1] = 2*x[1]\n g[2] = 2*(x[2]-2)\n end","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"By Julia convention, to indicate that the gradient function modifies the vector g, we add the ! to its name, although this does not affect at all its behavior.","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"It is also possible to provide a single function that computes both the function value and the gradient, as explained in the Options menu.","category":"page"},{"location":"usage/#Calling-the-solver,-without-bounds","page":"User guide","title":"Calling the solver, without bounds","text":"","category":"section"},{"location":"usage/","page":"User guide","title":"User guide","text":"The solver function is spgbox!, which mutates the input value of x (with the best solution found in it at the output). Alternatively, use spgbox to call the solver without modifying the values of the input vector (although a copy of if this vector will be produced). ","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"The solver calls have a minimal calling syntax of","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"julia> using SPGBox\n\njulia> x = rand(2);\n\njulia> R = spgbox(f,g!,x)","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"The results will be returned to the data structure R of type SPGBoxResult, and will be output as: ","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"julia> R = spgbox(f,g!,x,lower=[-Inf,5])\n\n SPGBOX RESULT: \n\n Convergence achieved.\n\n Final objective function value = 9.0\n Sample of best point = Vector{Float64}[ 0.0, 5.0]\n Projected gradient norm = 0.0\n\n Number of iterations = 3\n Number of function evaluations = 3","category":"page"},{"location":"usage/#Calling-the-solver,-with-box-bounds","page":"User guide","title":"Calling the solver, with box bounds","text":"","category":"section"},{"location":"usage/","page":"User guide","title":"User guide","text":"Box bounds can be provided by the optional keywords lower and upper for lower and upper bounds, respectively. These are vectors that will delimit the bounds for each variable. For example, assuming the same function and gradient functions defined in the example above, a lower bound will be set for the second variable:","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"julia> using SPGBox\n\njulia> x = rand(2);\n\njulia> R = spgbox(f,g!,x,lower=[-Inf,5])\n\n SPGBOX RESULT: \n\n Convergence achieved.\n\n Final objective function value = 9.0\n Sample of best point = Vector{Float64}[ 0.0, 5.0]\n Projected gradient norm = 0.0\n\n Number of iterations = 3\n Number of function evaluations = 3","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"Upper bounds can be similarly set with upper=[+Inf,-5], for example.","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"Note, the bounds can also be provided as non-keyword parameters, with:","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"julia> R = spgbox!(f,g!,x,lower=[-Inf,5],upper=[-2,+Inf])","category":"page"},{"location":"usage/#Result-data-structure-and-possible-outcomes","page":"User guide","title":"Result data structure and possible outcomes","text":"","category":"section"},{"location":"usage/","page":"User guide","title":"User guide","text":"The minimization can result in a successful convergence, on in exceeded numbers of iterations or functional evaluations. These outcomes are explicit in the output printed (second line), and stored in the result structure, which contains the following data: ","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"struct SPGBoxResult\n x :: Vector{Float64}\n f :: Float64\n gnorm :: Float64\n nit :: Int64\n nfeval :: Int64\n ierr :: Int64\n return_from_callback::Bool\nend","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"The data can be accessed as usual, using, for example:","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"julia> R.f\n12.0","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"The data structure contains:","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"Variable name Meaning\nx Best point found (solution if ierr=0)\nf Best function value found.\ngnorm Norm of gradient projected on the constraints.\nnit Number of iterations performed.\nnfeval Number of function evaluations.\nierr Exit status.\nreturn_from_callback Boolan that states if the return was defined by the callback function.\n ","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"The possible outcomes of ierr are:","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"Outcome Meaning\nierr=0 Success: convergence achieved.\nierr=1 Maximum number of iterations achieved.\nierr=2 Maximum number of function evaluations achieved.\n ","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"The convergence criteria can be adjusted using optional keywords, as described in the Options section.","category":"page"},{"location":"usage/#Optional-callback-function","page":"User guide","title":"Optional callback function","text":"","category":"section"},{"location":"usage/","page":"User guide","title":"User guide","text":"It is possible to pass an optional callback function parameter to the spgbox and spgbox! functions. The callback function must:","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"Receive as argument a SPGBoxResult data structure.\nReturn true or false to define if the algorithm must return immediately or continue.","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"For example, here we stop the optimization when the sum of two variables becomes smaller than 5.0.","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"julia> using SPGBox\n\njulia> f(x) = x[1]^4 + (x[2] - 1)^4\nf (generic function with 1 method)\n\njulia> function g!(g, x)\n g[1] = 4 * x[1]^3\n g[2] = 4 * (x[2] - 1)^3\n end\ng! (generic function with 1 method)\n\njulia> x = [10.0, 18.0];\n\njulia> my_callback(R::SPGBoxResult) = R.x[1] + R.x[2] < 5.0 ? true : false\nmy_callback (generic function with 1 method)\n\njulia> R = spgbox!(f, g!, x; callback = my_callback)\n\n SPGBOX RESULT: \n\n Returned from callback function.\n\n Final objective function value = 11.341529752085066\n Sample of best point = Vector{Float64}[ 1.5429284794371168, 2.543387528602126]\n Projected gradient norm = 14.705674573954493\n\n Number of iterations = 10\n Number of function evaluations = 10","category":"page"},{"location":"usage/#Input-data-types","page":"User guide","title":"Input data types","text":"","category":"section"},{"location":"usage/","page":"User guide","title":"User guide","text":"The implementation of SPGBox is generic for input types of any abstract matrix or vector. Propagation of units, or numbers with arbitrary precision is supported. As minimal example illustrating these features, let us minimize a function where the input variables are given as a matrix of BigFloats, with units:","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"julia> function f(x)\n f = zero(typeof(x[begin]^2))\n for i in eachindex(x)\n f += (x[i] - i*oneunit(eltype(x)))^2\n end\n return f\n end\nf (generic function with 1 method)\n\njulia> function g!(g,x)\n g .= zero(eltype(x))\n for i in eachindex(x)\n g[i] = 2*(x[i] - i*oneunit(eltype(x)))\n end\n return g\n end\ng! (generic function with 1 method)\n\njulia> x = rand(BigFloat,2,2)u\"nm\"\n2×2 Matrix{Quantity{BigFloat, 𝐋, Unitful.FreeUnits{(nm,), 𝐋, nothing}}}:\n 0.128083 nm 0.817173 nm\n 0.139545 nm 0.391047 nm\n\njulia> spgbox(f,g!,x)\n\n SPGBOX RESULT: \n\n Convergence achieved. \n\n Final objective function value = 0.0 nm^2\n Sample of best point = Matrix{Quantity{BigFloat, 𝐋, Unitful.FreeUnits{(nm,), 𝐋, nothing}}}[ 1.0 nm, 2.0 nm, 3.0 nm, 4.0 nm]\n Projected gradient norm = 0.0 nm\n\n Number of iterations = 2\n Number of function evaluations = 3\n","category":"page"},{"location":"usage/#Data-dependent-function-evaluation","page":"User guide","title":"Data-dependent function evaluation","text":"","category":"section"},{"location":"usage/","page":"User guide","title":"User guide","text":"If the function requires additional parameters, two strategies are possible while preserving performance: 1) Declare the parameters as constants and define an extra method, or 2) Pass the function as an anonymous closure. ","category":"page"},{"location":"usage/#Constant-parameters-and-new-function-and-gradient-methods","page":"User guide","title":"Constant parameters and new function and gradient methods","text":"","category":"section"},{"location":"usage/","page":"User guide","title":"User guide","text":"The solver requires a function with a single argument, x, and a gradient function with two arguments, x and g. If the function and gradient evalutions require more parameters, use, for example: ","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"julia> f(x,a,b,c) = a*x[1]^2 + (x[2]-b)^2 + c\n\njulia> const a = 5. ; const b = 2. ; const c = 3. ;\n\njulia> f(x) = f(x,a,b,c) ","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"To preserve performance it is fundamental to declare the parameters, in this case a, b, and c, as constants (using const), to guarantee their type-stability. This will allow the function specializations and compiler optimizations that make Julia fast. ","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"The gradient function will be defined accordingly:","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"julia> function g!(g,x,a,b)\n g[1] = 2*a*x[1]\n g[2] = 2*(x[2]-b)\n end\n\njulia> g!(g,x) = g!(g,x,a,b) ","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"The function method which receives only the current point x, and the gradient method which receives only x and the gradient vector g are the ones actually invoked by the solver.","category":"page"},{"location":"usage/#Using-anonymous-closures","page":"User guide","title":"Using anonymous closures","text":"","category":"section"},{"location":"usage/","page":"User guide","title":"User guide","text":"An anonymous closure is a function with a special syntax of the form ","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"x -> f(x)","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"which should be read as \"given x, return f(x)\". These anonymous functions can be provided directly as arguments to the solver, while providing an interface for using external parameters. Considering the same function and gradient functions above, one uses anonymous functions directly as arguments in the solver call:","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"julia> R = spgbox!(x -> f(x,a,b,c), (g,x) -> g!(g,x,a,b), x)","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"where the first argument, x -> f(x,a,b,c) indicates that the objective function is an anonymous function that, given x, returns f(x,a,b,c). The gradient is evaluated by an anonymous function that, given (g,x), returns g!(g,x,a,b). This syntax also preserves performance and does not require the parameters to be declared as constants. ","category":"page"},{"location":"usage/#Using-automatic-differentiation-(AD)","page":"User guide","title":"Using automatic differentiation (AD)","text":"","category":"section"},{"location":"usage/","page":"User guide","title":"User guide","text":"Julia provides various packages for automatic differentiation, which can be used in combination with SPGBox. Here, we illustrate the use of ReverseDiff. The only two points that must be taken into consideration are: 1) The AD function must modify an existing gradient vector and 2) use anonymous closures to provide the gradient calculation function to the solver.","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"Here, a simple example, in which we use ReverseDiff.gradient! to compute the derivative of a function which is the sum of squares of the variables:","category":"page"},{"location":"usage/","page":"User guide","title":"User guide","text":"julia> using SPGBox, ReverseDiff\n\njulia> function f(x)\n f = 0.\n for i in eachindex(x)\n f += x[i]^2\n end\n f\n end\n\njulia> x = rand(2)\n\njulia> spgbox!(f, (g,x) -> ReverseDiff.gradient!(g,f,x), x, lower=[-Inf,2.])\n\n SPGBOX RESULT: \n\n Convergence achieved. \n\n Final objective function value = 4.0\n Sample of best point = Vector{Float64}[ 0.0, 2.0]\n Projected gradient norm = 0.0\n\n Number of iterations = 3\n Number of function evaluations = 3\n","category":"page"},{"location":"options/#Options","page":"Options","title":"Options","text":"","category":"section"},{"location":"options/","page":"Options","title":"Options","text":"Several keyword parameters can be used to adjust the convergence criteria and to deal with the memory management of the execution. ","category":"page"},{"location":"options/#Mutating-or-not-mutating-the-initial-point","page":"Options","title":"Mutating or not mutating the initial point","text":"","category":"section"},{"location":"options/","page":"Options","title":"Options","text":"Two solver functions are available: spgbox! and spgbox. The only difference is that spgbox! operates inplace in the input vector, while spgbox creates a copy of it and leaves the input variable unchanged. To perform completely non-allocating executions, use spgbox! and preallocate the auxiliary vectors.","category":"page"},{"location":"options/#Function-and-gradient-with-one-function","page":"Options","title":"Function and gradient with one function","text":"","category":"section"},{"location":"options/","page":"Options","title":"Options","text":"Sometimes it is convenient, and more effective, to compute the function and gradient with the same function. This can be done with SPGBox by defining a function, for example fg!(g,x) which updates the gradient array g, and returns the function value fx. For example:","category":"page"},{"location":"options/","page":"Options","title":"Options","text":"julia> function fg!(g,x)\n fx = zero(eltype(x))\n for i in eachindex(x)\n fx += (x[i] - i)^2\n g[i] = 2*(x[i] - i)\n end\n return fx\n end\nfg! (generic function with 1 method)\n\njulia> x = [10.0, 11.0, 12.0];\n\njulia> spgbox(fg!,x)\n\n SPGBOX RESULT: \n\n Convergence achieved.\n\n Final objective function value = 0.0\n Sample of best point = Vector{Float64}[ 1.0, 2.0, 3.0]\n Projected gradient norm = 0.0\n\n Number of iterations = 3\n Number of function evaluations = 3","category":"page"},{"location":"options/#Convergence-criteria","page":"Options","title":"Convergence criteria","text":"","category":"section"},{"location":"options/","page":"Options","title":"Options","text":"Parameters exist to set the convergence threshold, maximum number of iterations, maximum number of functional evaluations, and number of possibly non-monotone steps.","category":"page"},{"location":"options/","page":"Options","title":"Options","text":"These keywords provided to spgbox! with, for example:","category":"page"},{"location":"options/","page":"Options","title":"Options","text":"julia> R = spgbox!(f,g!,x,nitmax=1000)","category":"page"},{"location":"options/","page":"Options","title":"Options","text":"where nitmax, in this case, is the maximum number of iterations.","category":"page"},{"location":"options/","page":"Options","title":"Options","text":"The available keywords are:","category":"page"},{"location":"options/","page":"Options","title":"Options","text":"Keyword Type Meaning Default value\nnitmax Integer Maximum number of iterations allowed. 100\nnfevalmax Integer Maximum number of function evaluations allowed. 1000\neps eltype(x) Convergence criteria for the projected gradient norm. 1e-5\nm Integer Number of non-monotone search steps. 10\n ","category":"page"},{"location":"options/#Memory-preallocation","page":"Options","title":"Memory preallocation","text":"","category":"section"},{"location":"options/","page":"Options","title":"Options","text":"The SPGBox method requires four auxiliary vectors, three of them of length equal to the number of variables (g, xn and gn), and a vector of length equal to the number of non-monotone steps allowed, fprev, of dimension, m (see below). ","category":"page"},{"location":"options/","page":"Options","title":"Options","text":"These vectors are allocated in the SPGBox.VAux data structure. For preallocating the auxiliary vectors, initialize this data structure before calling spgbox! and pass the data structure using the vaux argument. In brief, given that the vector of variables is x, and the function is f(x), do:","category":"page"},{"location":"options/","page":"Options","title":"Options","text":"julia> x = rand(1_000_000);\n\njulia> auxvecs = SPGBox.VAux(x,f(x))\n\njulia> R = spgbox!(f,g!,x,vaux=auxvecs)\n","category":"page"},{"location":"options/","page":"Options","title":"Options","text":"That is, the SPGBox.Vaux constructor receives an example of x and an example of the output of f(x) and with that constructs the structure of auxiliary arrays. ","category":"page"},{"location":"options/","page":"Options","title":"Options","text":"For example, let us minimize the sum of squares of one million variables:","category":"page"},{"location":"options/","page":"Options","title":"Options","text":"julia> function f(x)\n f = zero(eltype(x))\n for i in eachindex(x)\n f += x[i]^2\n end\n f\n end\nf (generic function with 1 methods)\n\njulia> function g!(g,x)\n for i in eachindex(x)\n g[i] = 2*x[i]\n end\n end\ng! (generic function with 1 methods)\n\njulia> n = 1_000_000\n\njulia> x = rand(n);\n","category":"page"},{"location":"options/","page":"Options","title":"Options","text":"Without preallocating the auxiliary arrays:","category":"page"},{"location":"options/","page":"Options","title":"Options","text":"julia> using BenchmarkTools\n\njulia> @btime spgbox!($f,$g!,$x)\n 8.705 ms (16 allocations: 45.78 MiB)\n","category":"page"},{"location":"options/","page":"Options","title":"Options","text":"Now we will preallocate all auxiliary arrays. ","category":"page"},{"location":"options/","page":"Options","title":"Options","text":"julia> auxvecs = SPGBox.VAux(x,f(x));\n","category":"page"},{"location":"options/","page":"Options","title":"Options","text":"And these arrays will be passed as arguments to the spgbox! function:","category":"page"},{"location":"options/","page":"Options","title":"Options","text":"julia> @btime spgbox!($f,$g!,$x,vaux=$auxvecs)\n 3.414 ms (0 allocations: 0 bytes)\n","category":"page"},{"location":"options/","page":"Options","title":"Options","text":"While SPG is very memory efficient, pré-allocation of the arrays reduces significanltly the use of memory, which might be important for multiple executions of the the same code, for example in multi-start approach for global-minimum search.","category":"page"},{"location":"options/#fprev","page":"Options","title":"Size and preallocation of fprev","text":"","category":"section"},{"location":"options/","page":"Options","title":"Options","text":"The auxiliary vector fprev stores the information of the function value of the last m function evaluations, which is the number of non-monotone steps allowed. Thus, it is a vector of size m which is also preallocated by SPGBox.VAux. By default, it is allocated to length 10, which is the default value for m. If m is modified by the user and preallocation will be done, the new m value must be provided to SPGBox.VAux, with:","category":"page"},{"location":"options/","page":"Options","title":"Options","text":"julia> auxvecs = SPGBox.VAux(x,f(x),m=5)\n","category":"page"},{"location":"options/#Additional-keywords-available","page":"Options","title":"Additional keywords available","text":"","category":"section"},{"location":"options/","page":"Options","title":"Options","text":"Additional keywords available:","category":"page"},{"location":"options/","page":"Options","title":"Options","text":"Keyword Type Meaning Default value\niprint Integer Printing details (0, 1, or 2) 0\nproject_x0 Bool Projects, or not, the initial point on the bounds. true\ncallback Union{<:Function,Nothing} Callback function nothing\nlower AbstractVecOrMat Array of lower bounds nothing\nupper AbstractVecOrMat Array of upper bounds nothing\n ","category":"page"},{"location":"reference/#Primary-citation-of-the-algorithm:","page":"Reference","title":"Primary citation of the algorithm:","text":"","category":"section"},{"location":"reference/","page":"Reference","title":"Reference","text":"E. G. Birgin, J. M. Martínez and M. Raydan, \"Nonmonotone spectral projected gradient methods on convex sets\", SIAM Journal on Optimization 10, pp. 1196-1211, 2000. (LINK)","category":"page"},{"location":"#SPGBox","page":"Installation","title":"SPGBox","text":"","category":"section"},{"location":"","page":"Installation","title":"Installation","text":"SPGBox is a pure-Julia implementation of the Spectral Projected Gradient Method for minimization in box constraints, as described in: ","category":"page"},{"location":"","page":"Installation","title":"Installation","text":"E. G. Birgin, J. M. Martínez and M. Raydan, \"Nonmonotone spectral projected gradient methods on convex sets\", SIAM Journal on Optimization 10, pp. 1196-1211, 2000. (LINK)","category":"page"},{"location":"#How-to-install","page":"Installation","title":"How to install","text":"","category":"section"},{"location":"","page":"Installation","title":"Installation","text":"julia> using Pkg\n\njulia> Pkg.add(\"SPGBox\")","category":"page"},{"location":"","page":"Installation","title":"Installation","text":"or, more concisely,","category":"page"},{"location":"","page":"Installation","title":"Installation","text":"julia> ] add SPGBox\n","category":"page"},{"location":"#Quick-usage-example","page":"Installation","title":"Quick usage example","text":"","category":"section"},{"location":"","page":"Installation","title":"Installation","text":"Define the function to compute the objective function and the gradient, for example with:","category":"page"},{"location":"","page":"Installation","title":"Installation","text":"julia> f(x) = x[1]^2 + x[2]^2\n\njulia> function g!(g,x)\n g[1] = 2*x[1]\n g[2] = 2*x[2]\n end","category":"page"},{"location":"","page":"Installation","title":"Installation","text":"And the objective function can be minimized with optional box bounds. Here, with a lower bound of 2 for the first variable:","category":"page"},{"location":"","page":"Installation","title":"Installation","text":"julia> x = 2 .+ rand(2)\n\njulia> spgbox!(f,g!,x,lower=[2.,-Inf])\n\n SPGBOX RESULT: \n\n Convergence achieved. \n\n Final objective function value = 4.0\n Sample of best point = Vector{Float64}[ 2.0, 0.0]\n Projected gradient norm = 0.0\n\n Number of iterations = 3\n Number of function evaluations = 3\n","category":"page"},{"location":"","page":"Installation","title":"Installation","text":"The spgbox! function mutates the content of the input x vector (and will not allocate anything if the auxiliary vectors are provide d as described here). Use spgbox, to internaly copy the x array and not mutate it. ","category":"page"}] +} diff --git a/v0.6.1/siteinfo.js b/v0.6.1/siteinfo.js new file mode 100644 index 0000000..2f41237 --- /dev/null +++ b/v0.6.1/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "v0.6.1"; diff --git a/v0.6.1/usage/index.html b/v0.6.1/usage/index.html new file mode 100644 index 0000000..57947c7 --- /dev/null +++ b/v0.6.1/usage/index.html @@ -0,0 +1,139 @@ + +User guide · SPGBox.jl
      Edit on GitHub

      User guide

      Definition of the objective function and gradient functions

      A function must be defined receiving as argument the current point as a vector: 

      julia> f(x) = x[1]^2 + (x[2]-2)^2

      And the gradient must receive as arguments the vector of variables and a vector which will be modified to contain the gradient at the current point:

      julia> function g!(g,x)
+           g[1] = 2*x[1]
+           g[2] = 2*(x[2]-2)
+       end

      By Julia convention, to indicate that the gradient function modifies the vector g, we add the ! to its name, although this does not affect at all its behavior.

      It is also possible to provide a single function that computes both the function value and the gradient, as explained in the Options menu.

      Calling the solver, without bounds

      The solver function is spgbox!, which mutates the input value of x (with the best solution found in it at the output). Alternatively, use spgbox to call the solver without modifying the values of the input vector (although a copy of if this vector will be produced).

      The solver calls have a minimal calling syntax of

      julia> using SPGBox
+
+julia> x = rand(2);
+
+julia> R = spgbox(f,g!,x)

      The results will be returned to the data structure R of type SPGBoxResult, and will be output as: 

      julia> R = spgbox(f,g!,x,lower=[-Inf,5])
+
+ SPGBOX RESULT: 
+
+ Convergence achieved.
+
+ Final objective function value = 9.0
+ Sample of best point = Vector{Float64}[ 0.0, 5.0]
+ Projected gradient norm = 0.0
+
+ Number of iterations = 3
+ Number of function evaluations = 3

      Calling the solver, with box bounds

      Box bounds can be provided by the optional keywords lower and upper for lower and upper bounds, respectively. These are vectors that will delimit the bounds for each variable. For example, assuming the same function and gradient functions defined in the example above, a lower bound will be set for the second variable:

      julia> using SPGBox
+
+julia> x = rand(2);
+
+julia> R = spgbox(f,g!,x,lower=[-Inf,5])
+
+ SPGBOX RESULT: 
+
+ Convergence achieved.
+
+ Final objective function value = 9.0
+ Sample of best point = Vector{Float64}[ 0.0, 5.0]
+ Projected gradient norm = 0.0
+
+ Number of iterations = 3
+ Number of function evaluations = 3

      Upper bounds can be similarly set with upper=[+Inf,-5], for example.

      Note, the bounds can also be provided as non-keyword parameters, with:

      julia> R = spgbox!(f,g!,x,lower=[-Inf,5],upper=[-2,+Inf])

      Result data structure and possible outcomes

      The minimization can result in a successful convergence, on in exceeded numbers of iterations or functional evaluations. These outcomes are explicit in the output printed (second line), and stored in the result structure, which contains the following data: 

      struct SPGBoxResult
+    x :: Vector{Float64}
+    f :: Float64
+    gnorm :: Float64
+    nit :: Int64
+    nfeval :: Int64
+    ierr :: Int64
+    return_from_callback::Bool
+end

      The data can be accessed as usual, using, for example:

      julia> R.f
+12.0

      The data structure contains:

      Variable nameMeaning
      xBest point found (solution if ierr=0)
      fBest function value found.
      gnormNorm of gradient projected on the constraints.
      nitNumber of iterations performed.
      nfevalNumber of function evaluations.
      ierrExit status.
      return_from_callbackBoolan that states if the return was defined by the callback function.

      The possible outcomes of ierr are:

      OutcomeMeaning
      ierr=0Success: convergence achieved.
      ierr=1Maximum number of iterations achieved.
      ierr=2Maximum number of function evaluations achieved.

      The convergence criteria can be adjusted using optional keywords, as described in the Options section.

      Optional callback function

      It is possible to pass an optional callback function parameter to the spgbox and spgbox! functions. The callback function must:

      1. Receive as argument a SPGBoxResult data structure.
      2. Return true or false to define if the algorithm must return immediately or continue.

      For example, here we stop the optimization when the sum of two variables becomes smaller than 5.0.

      julia> using SPGBox
+
+julia> f(x) = x[1]^4 + (x[2] - 1)^4
+f (generic function with 1 method)
+
+julia> function g!(g, x)
+           g[1] = 4 * x[1]^3
+           g[2] = 4 * (x[2] - 1)^3
+        end
+g! (generic function with 1 method)
+
+julia> x = [10.0, 18.0];
+
+julia> my_callback(R::SPGBoxResult) = R.x[1] + R.x[2] < 5.0 ? true : false
+my_callback (generic function with 1 method)
+
+julia> R = spgbox!(f, g!, x; callback = my_callback)
+
+ SPGBOX RESULT: 
+
+ Returned from callback function.
+
+ Final objective function value = 11.341529752085066
+ Sample of best point = Vector{Float64}[ 1.5429284794371168, 2.543387528602126]
+ Projected gradient norm = 14.705674573954493
+
+ Number of iterations = 10
+ Number of function evaluations = 10

      Input data types

      The implementation of SPGBox is generic for input types of any abstract matrix or vector. Propagation of units, or numbers with arbitrary precision is supported. As minimal example illustrating these features, let us minimize a function where the input variables are given as a matrix of BigFloats, with units:

      julia> function f(x)
+           f = zero(typeof(x[begin]^2))
+           for i in eachindex(x)
+               f += (x[i] - i*oneunit(eltype(x)))^2
+           end
+           return f
+       end
+f (generic function with 1 method)
+
+julia> function g!(g,x)
+           g .= zero(eltype(x))
+           for i in eachindex(x)
+               g[i] = 2*(x[i] - i*oneunit(eltype(x)))
+           end
+           return g
+       end
+g! (generic function with 1 method)
+
+julia> x = rand(BigFloat,2,2)u"nm"
+2×2 Matrix{Quantity{BigFloat, 𝐋, Unitful.FreeUnits{(nm,), 𝐋, nothing}}}:
+ 0.128083 nm  0.817173 nm
+ 0.139545 nm  0.391047 nm
+
+julia> spgbox(f,g!,x)
+
+ SPGBOX RESULT: 
+
+ Convergence achieved. 
+
+ Final objective function value = 0.0 nm^2
+ Sample of best point = Matrix{Quantity{BigFloat, 𝐋, Unitful.FreeUnits{(nm,), 𝐋, nothing}}}[ 1.0 nm, 2.0 nm, 3.0 nm, 4.0 nm]
+ Projected gradient norm = 0.0 nm
+
+ Number of iterations = 2
+ Number of function evaluations = 3
+

      Data-dependent function evaluation

      If the function requires additional parameters, two strategies are possible while preserving performance: 1) Declare the parameters as constants and define an extra method, or 2) Pass the function as an anonymous closure.

      Constant parameters and new function and gradient methods

      The solver requires a function with a single argument, x, and a gradient function with two arguments, x and g. If the function and gradient evalutions require more parameters, use, for example: 

      julia> f(x,a,b,c) = a*x[1]^2 + (x[2]-b)^2 + c
+
+julia> const a = 5. ; const b = 2. ; const c = 3. ;
+
+julia> f(x) = f(x,a,b,c)

      To preserve performance it is fundamental to declare the parameters, in this case a, b, and c, as constants (using const), to guarantee their type-stability. This will allow the function specializations and compiler optimizations that make Julia fast.

      The gradient function will be defined accordingly:

      julia> function g!(g,x,a,b)
+           g[1] = 2*a*x[1]
+           g[2] = 2*(x[2]-b)
+       end
+
+julia> g!(g,x) = g!(g,x,a,b)

      The function method which receives only the current point x, and the gradient method which receives only x and the gradient vector g are the ones actually invoked by the solver.

      Using anonymous closures

      An anonymous closure is a function with a special syntax of the form 

      x -> f(x)

      which should be read as "given x, return f(x)". These anonymous functions can be provided directly as arguments to the solver, while providing an interface for using external parameters. Considering the same function and gradient functions above, one uses anonymous functions directly as arguments in the solver call:

      julia> R = spgbox!(x -> f(x,a,b,c), (g,x) -> g!(g,x,a,b), x)

      where the first argument, x -> f(x,a,b,c) indicates that the objective function is an anonymous function that, given x, returns f(x,a,b,c). The gradient is evaluated by an anonymous function that, given (g,x), returns g!(g,x,a,b). This syntax also preserves performance and does not require the parameters to be declared as constants.

      Using automatic differentiation (AD)

      Julia provides various packages for automatic differentiation, which can be used in combination with SPGBox. Here, we illustrate the use of ReverseDiff. The only two points that must be taken into consideration are: 1) The AD function must modify an existing gradient vector and 2) use anonymous closures to provide the gradient calculation function to the solver.

      Here, a simple example, in which we use ReverseDiff.gradient! to compute the derivative of a function which is the sum of squares of the variables:

      julia> using SPGBox, ReverseDiff
+
+julia> function f(x)
+           f = 0.
+           for i in eachindex(x)
+               f += x[i]^2
+           end
+           f
+       end
+
+julia> x = rand(2)
+
+julia> spgbox!(f, (g,x) -> ReverseDiff.gradient!(g,f,x), x, lower=[-Inf,2.])
+
+ SPGBOX RESULT: 
+
+ Convergence achieved. 
+
+ Final objective function value = 4.0
+ Sample of best point = Vector{Float64}[ 0.0, 2.0]
+ Projected gradient norm = 0.0
+
+ Number of iterations = 3
+ Number of function evaluations = 3
+
      diff --git a/versions.js b/versions.js index c6f3c43..77381b4 100644 --- a/versions.js +++ b/versions.js @@ -7,5 +7,5 @@ var DOC_VERSIONS = [ "v0.2", "v0.1", ]; -var DOCUMENTER_NEWEST = "v0.6.0"; +var DOCUMENTER_NEWEST = "v0.6.1"; var DOCUMENTER_STABLE = "stable";