From 269d0f14b9b1a92753e434e1244ad160f6569cc5 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Fri, 15 Dec 2023 07:58:14 +0000 Subject: [PATCH] build based on b2a5f15 --- previews/PR289/api.html | 3 + previews/PR289/assets/chainrules.css | 78 +++++ previews/PR289/assets/documenter.js | 331 ++++++++++++++++++ previews/PR289/assets/logo.svg | 27 ++ previews/PR289/assets/search.js | 267 ++++++++++++++ .../PR289/assets/themes/documenter-dark.css | 7 + .../PR289/assets/themes/documenter-light.css | 9 + previews/PR289/assets/themeswap.js | 66 ++++ previews/PR289/assets/warner.js | 49 +++ previews/PR289/index.html | 113 ++++++ previews/PR289/search.html | 2 + previews/PR289/search_index.js | 3 + previews/PR289/siteinfo.js | 1 + 13 files changed, 956 insertions(+) create mode 100644 previews/PR289/api.html create mode 100644 previews/PR289/assets/chainrules.css create mode 100644 previews/PR289/assets/documenter.js create mode 100644 previews/PR289/assets/logo.svg create mode 100644 previews/PR289/assets/search.js create mode 100644 previews/PR289/assets/themes/documenter-dark.css create mode 100644 previews/PR289/assets/themes/documenter-light.css create mode 100644 previews/PR289/assets/themeswap.js create mode 100644 previews/PR289/assets/warner.js create mode 100644 previews/PR289/index.html create mode 100644 previews/PR289/search.html create mode 100644 previews/PR289/search_index.js create mode 100644 previews/PR289/siteinfo.js diff --git a/previews/PR289/api.html b/previews/PR289/api.html new file mode 100644 index 00000000..42c3aa53 --- /dev/null +++ b/previews/PR289/api.html @@ -0,0 +1,3 @@ + +API · ChainRulesTestUtils
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API Documentation

ChainRulesTestUtils.:⊢ — Type
primal ⊢ tangent

Infix shorthand method to construct a PrimalAndTangent. Enter via \vdash + tab on supporting editors.

source
ChainRulesTestUtils.TestIterator — Type
TestIterator{T,IS<:Base.IteratorSize,IE<:Base.IteratorEltype}

A configurable iterator for testing purposes.

TestIterator(data, itersize, itereltype)
+TestIterator(data)

The iterator wraps another iterator data, such as an array, that must have at least as many features implemented as the test iterator and have a FiniteDifferences.to_vec overload. By default, the iterator it has the same features as data.

The optional methods eltype, length, and size are automatically defined and forwarded to data if the type arguments indicate that they should be defined.

source
ChainRulesTestUtils.rand_tangent — Method
rand_tangent([rng::AbstractRNG,] x)

Returns a arbitary tangent vector appropriate for the primal value x. Note that despite the name, no promises on the statistical randomness are made. Rather it is an arbitary value, that is generated using the rng.

source
ChainRulesTestUtils.test_approx — Function
test_approx(actual, expected, [msg]; kwargs...)

@test's that actual ≈ expected, but breaks up data such that human readable results are shown on failures. Understands things like unthunking ChainRuleCore.Thunks, etc.

If provided msg is printed on a failure. Often additional items are appended to msg to give bread-crumbs into nested structures.

All keyword arguments are passed to isapprox.

source
ChainRulesTestUtils.test_frule — Method
test_frule([config::RuleConfig,] f, args..; kwargs...)

Arguments

  • config: defaults to ChainRulesTestUtils.TestConfig.
  • f: function for which the frule should be tested. Its tangent can be provided using f ⊢ ḟ. (You can enter ⊢ via \vdash + tab in the Julia REPL and supporting editors.)
  • args...: either the primal args x, or primals and their tangents: x ⊢ ẋ
    • x: input at which to evaluate f (should generally be set to an arbitrary point in the domain).
    • ẋ: differential w.r.t. x; will be generated automatically if not provided.
    Non-differentiable arguments, such as indices, should have ẋ set as NoTangent().

Keyword Arguments

  • output_tangent: tangent against which to test accumulation of derivatives. Should be a differential for the output of f. Is set automatically if not provided.
  • fdm::FiniteDifferenceMethod: the finite differencing method to use.
  • frule_f=frule: function with an frule-like API that is tested (defaults to frule). Used for testing gradients from AD systems.
  • If check_inferred=true, then the inferrability (type-stability) of the frule is checked, as long as f is itself inferrable.
  • fkwargs are passed to f as keyword arguments.
  • testset_name: if provided, the name of the testset used to wrap the tests.

Otherwise it is determined from the function and argument types.

  • All remaining keyword arguments are passed to isapprox.
source
ChainRulesTestUtils.test_method_tables — Method
test_method_tables()

Checks that the method tables for rrule and frule are sensible. This in future may carry out a number of checks, but presently just checks to make sure that no rules have been added to the very general DataType, Union or UnionAll types, which is easy to do accidentally when writing rules for constructors. It happens if you write e.g. rrule(::typeof(Foo), x) rather than rrule(::Type{<:Foo}, x). This would then actually define rrule(::DataType, x). (or UnionAll if Foo was parametric, or Union if Foo was a type alias for a Union)

source
ChainRulesTestUtils.test_rrule — Method
test_rrule([config::RuleConfig,] f, args...; kwargs...)

Arguments

  • config: defaults to ChainRulesTestUtils.TestConfig.
  • f: function for which the rrule should be tested. Its tangent can be provided using f ⊢ f̄. (You can enter ⊢ via \vdash + tab in the Julia REPL and supporting editors.)
  • args...: either the primal args x, or primals and their tangents: x ⊢ x̄
    • x: input at which to evaluate f (should generally be set to an arbitrary point in the domain).
    • x̄: currently accumulated cotangent; will be generated automatically if not provided.
    Non-differentiable arguments, such as indices, should have x̄ set as NoTangent().

Keyword Arguments

  • output_tangent: the seed to propagate backward for testing (technically a cotangent). should be a differential for the output of f. Is set automatically if not provided.
  • check_thunked_output_tangent=true: also checks that passing a thunked version of the output tangent to the pullback returns the same result.
  • fdm::FiniteDifferenceMethod: the finite differencing method to use.
  • rrule_f=rrule: function with an rrule-like API that is tested (defaults to rrule). Used for testing gradients from AD systems.
  • If check_inferred=true, then the inferrability (type-stability) of the rrule is checked — if f is itself inferrable — along with the inferrability of the pullback it returns.
  • fkwargs are passed to f as keyword arguments.
  • testset_name: if provided, the name of the testset used to wrap the tests.

Otherwise it is determined from the function and argument types.

  • All remaining keyword arguments are passed to isapprox.
source
ChainRulesTestUtils.test_scalar — Method
test_scalar(f, z; rtol=1e-9, atol=1e-9, fdm=central_fdm(5, 1), fkwargs=NamedTuple(), check_inferred=true, kwargs...)

Given a function f with scalar input and scalar output, perform finite differencing checks, at input point z to confirm that there are correct frule and rrules provided.

Arguments

  • f: function for which the frule and rrule should be tested.
  • z: input at which to evaluate f (should generally be set to an arbitrary point in the domain).

Keyword Arguments

  • fdm: the finite differencing method to use.
  • fkwargs are passed to f as keyword arguments.
  • If check_inferred=true, then the inferrability (type-stability) of the frule and rrule are checked.
  • testset_name: if provided, the name of the testset used to wrap the tests. Otherwise it is determined from the function and argument types.
  • All remaining keyword arguments are passed to isapprox.
source
ChainRulesTestUtils.@maybe_inferred — Macro
@maybe_inferred [Type] f(...)

Like @inferred, but does not check the return type if tests are run as part of PkgEval or if the environment variable CHAINRULES_TEST_INFERRED is set to false.

source
diff --git a/previews/PR289/assets/chainrules.css b/previews/PR289/assets/chainrules.css new file mode 100644 index 00000000..f4b0a164 --- /dev/null +++ b/previews/PR289/assets/chainrules.css @@ -0,0 +1,78 @@ +/* Links */ + +a { + color: #4595D1; +} + +a:hover, a:focus { + color: #194E82; +} + +/* Navigation */ + +nav.toc ul a:hover, +nav.toc ul.internal a:hover { + color: #FFFFFF; + background-color: #4595D1; +} + +nav.toc ul .toctext { + color: #FFFFFF; +} + +nav.toc { + box-shadow: none; + color: #FFFFFF; + background-color: #194E82; +} + +nav.toc li.current > .toctext { + color: #FFFFFF; + background-color: #4595D1; + border-top-width: 0px; + border-bottom-width: 0px; +} + +nav.toc ul.internal a { + color: #194E82; + background-color: #FFFFFF; +} + +/* Text */ + +article#docs a.nav-anchor { + color: #194E82; +} + +article#docs blockquote { + font-style: italic; +} + +/* Terminology Block */ + +div.admonition.terminology div.admonition-title:before { + content: "Terminology: "; + font-family: inherit; + font-weight: bold; +} +div.admonition.terminology div.admonition-title { + background-color: #FFEC8B; +} + +div.admonition.terminology div.admonition-text { + background-color: #FFFEDD; +} + +/* Code */ + +code .hljs-meta { + color: #4595D1; +} + +code .hljs-keyword { + color: #194E82; +} + +pre, code { + font-family: "Liberation Mono", "Consolas", "DejaVu Sans Mono", "Ubuntu Mono", "andale mono", "lucida console", monospace; +} diff --git a/previews/PR289/assets/documenter.js b/previews/PR289/assets/documenter.js new file mode 100644 index 00000000..6adfbbbf --- /dev/null +++ b/previews/PR289/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 = $(""); + version_selector_select.append(option); + } else { + var option = existing_versions[existing_id]; + option.value = version_url; + option.disabled = false; + } + }); + } + + // only show the version selector if the selector has been populated + if (version_selector_select.children("option").length > 0) { + version_selector.toggleClass("visible"); + } +}) + +}) diff --git a/previews/PR289/assets/logo.svg b/previews/PR289/assets/logo.svg new file mode 100644 index 00000000..c2c58f1a --- /dev/null +++ b/previews/PR289/assets/logo.svg @@ -0,0 +1,27 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/previews/PR289/assets/search.js b/previews/PR289/assets/search.js new file mode 100644 index 00000000..c133f741 --- /dev/null +++ b/previews/PR289/assets/search.js @@ -0,0 +1,267 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min', + 'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min', + } +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'lunr', 'lodash'], function($, 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/previews/PR289/assets/themes/documenter-dark.css b/previews/PR289/assets/themes/documenter-dark.css new file mode 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html.theme--documenter-dark .button.is-white.is-inverted{background-color:#0a0a0a;border-color:transparent;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-white.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-white.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-white.is-outlined:hover,html.theme--documenter-dark .button.is-white.is-outlined.is-hovered,html.theme--documenter-dark .button.is-white.is-outlined:focus,html.theme--documenter-dark .button.is-white.is-outlined.is-focused{background-color:#fff;border-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-white.is-outlined.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-white.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-white.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-white.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:focus,html.theme--documenter-dark 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.button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:transparent;color:#282f2f}html.theme--documenter-dark .button.is-light:hover,html.theme--documenter-dark .button.is-light.is-hovered{background-color:#e5eaec;border-color:transparent;color:#282f2f}html.theme--documenter-dark .button.is-light:focus,html.theme--documenter-dark .button.is-light.is-focused{border-color:transparent;color:#282f2f}html.theme--documenter-dark .button.is-light:focus:not(:active),html.theme--documenter-dark .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(236,240,241,0.25)}html.theme--documenter-dark .button.is-light:active,html.theme--documenter-dark .button.is-light.is-active{background-color:#dde4e6;border-color:transparent;color:#282f2f}html.theme--documenter-dark .button.is-light[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:transparent;box-shadow:none}html.theme--documenter-dark .button.is-light.is-inverted{background-color:#282f2f;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-hovered{background-color:#1d2122}html.theme--documenter-dark .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted{background-color:#282f2f;border-color:transparent;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-loading::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-outlined.is-focused{background-color:#ecf0f1;border-color:#ecf0f1;color:#282f2f}html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused{background-color:#282f2f;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark,html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark:hover,html.theme--documenter-dark .content kbd.button:hover,html.theme--documenter-dark .button.is-dark.is-hovered,html.theme--documenter-dark .content kbd.button.is-hovered{background-color:#232829;border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark:focus,html.theme--documenter-dark .content kbd.button:focus,html.theme--documenter-dark .button.is-dark.is-focused,html.theme--documenter-dark .content kbd.button.is-focused{border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark:focus:not(:active),html.theme--documenter-dark .content kbd.button:focus:not(:active),html.theme--documenter-dark .button.is-dark.is-focused:not(:active),html.theme--documenter-dark .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(40,47,47,0.25)}html.theme--documenter-dark .button.is-dark:active,html.theme--documenter-dark .content kbd.button:active,html.theme--documenter-dark .button.is-dark.is-active,html.theme--documenter-dark .content kbd.button.is-active{background-color:#1d2122;border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark[disabled],html.theme--documenter-dark .content kbd.button[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark,fieldset[disabled] html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;box-shadow:none}html.theme--documenter-dark .button.is-dark.is-inverted,html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#ecf0f1;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted:hover,html.theme--documenter-dark .content kbd.button.is-inverted:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered{background-color:#dde4e6}html.theme--documenter-dark .button.is-dark.is-inverted[disabled],html.theme--documenter-dark .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#ecf0f1;border-color:transparent;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-loading::after,html.theme--documenter-dark .content kbd.button.is-loading::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#ecf0f1}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content 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 kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#ecf0f1;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .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 kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#ecf0f1;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-primary,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink{background-color:#375a7f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:hover,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#335476;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-focused.docs-sourcelink{border-color:transparent;color:#fff}html.theme--documenter-dark 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.button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-danger.is-outlined{background-color:transparent;border-color:#9e1b0d;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-outlined:hover,html.theme--documenter-dark .button.is-danger.is-outlined.is-hovered,html.theme--documenter-dark .button.is-danger.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-outlined.is-focused{background-color:#9e1b0d;border-color:#9e1b0d;color:#fff}html.theme--documenter-dark .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #9e1b0d #9e1b0d !important}html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined{background-color:transparent;border-color:#9e1b0d;box-shadow:none;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #9e1b0d #9e1b0d !important}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:3px;font-size:.85em}html.theme--documenter-dark .button.is-normal{font-size:15px}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#dbdee0;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em / 2));top:calc(50% - (1em / 2));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:290486px;padding-left:1em;padding-right:1em}html.theme--documenter-dark .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--documenter-dark .buttons .button{margin-bottom:0.5rem}html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:0.5rem}html.theme--documenter-dark .buttons:last-child{margin-bottom:-0.5rem}html.theme--documenter-dark .buttons:not(:last-child){margin-bottom:1rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){border-radius:3px;font-size:.85em}html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--documenter-dark .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--documenter-dark .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--documenter-dark .buttons.has-addons .button:last-child{margin-right:0}html.theme--documenter-dark .buttons.has-addons .button:hover,html.theme--documenter-dark .buttons.has-addons .button.is-hovered{z-index:2}html.theme--documenter-dark .buttons.has-addons .button:focus,html.theme--documenter-dark .buttons.has-addons .button.is-focused,html.theme--documenter-dark .buttons.has-addons .button:active,html.theme--documenter-dark .buttons.has-addons .button.is-active,html.theme--documenter-dark .buttons.has-addons .button.is-selected{z-index:3}html.theme--documenter-dark .buttons.has-addons .button:focus:hover,html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover,html.theme--documenter-dark .buttons.has-addons .button:active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--documenter-dark .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--documenter-dark .buttons.is-centered{justify-content:center}html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--documenter-dark .buttons.is-right{justify-content:flex-end}html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--documenter-dark .container{flex-grow:1;margin:0 auto;position:relative;width:auto}@media screen and (min-width: 1056px){html.theme--documenter-dark .container{max-width:992px}html.theme--documenter-dark .container.is-fluid{margin-left:32px;margin-right:32px;max-width:none}}@media screen and (max-width: 1215px){html.theme--documenter-dark .container.is-widescreen{max-width:1152px}}@media screen and (max-width: 1407px){html.theme--documenter-dark .container.is-fullhd{max-width:1344px}}@media screen and (min-width: 1216px){html.theme--documenter-dark .container{max-width:1152px}}@media screen and (min-width: 1408px){html.theme--documenter-dark .container{max-width:1344px}}html.theme--documenter-dark .content li+li{margin-top:0.25em}html.theme--documenter-dark .content p:not(:last-child),html.theme--documenter-dark .content dl:not(:last-child),html.theme--documenter-dark .content ol:not(:last-child),html.theme--documenter-dark .content ul:not(:last-child),html.theme--documenter-dark .content blockquote:not(:last-child),html.theme--documenter-dark .content pre:not(:last-child),html.theme--documenter-dark .content table:not(:last-child){margin-bottom:1em}html.theme--documenter-dark .content h1,html.theme--documenter-dark .content h2,html.theme--documenter-dark .content h3,html.theme--documenter-dark .content h4,html.theme--documenter-dark .content h5,html.theme--documenter-dark .content h6{color:#f2f2f2;font-weight:600;line-height:1.125}html.theme--documenter-dark .content h1{font-size:2em;margin-bottom:0.5em}html.theme--documenter-dark .content h1:not(:first-child){margin-top:1em}html.theme--documenter-dark .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--documenter-dark .content h2:not(:first-child){margin-top:1.1428em}html.theme--documenter-dark .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--documenter-dark .content h3:not(:first-child){margin-top:1.3333em}html.theme--documenter-dark .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--documenter-dark .content 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:left}html.theme--documenter-dark .content table thead td,html.theme--documenter-dark .content table thead th{border-width:0 0 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.image.is-square,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square,html.theme--documenter-dark .image.is-1by1,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1{padding-top:100%}html.theme--documenter-dark .image.is-5by4,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by4{padding-top:80%}html.theme--documenter-dark .image.is-4by3,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by3{padding-top:75%}html.theme--documenter-dark .image.is-3by2,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by2{padding-top:66.6666%}html.theme--documenter-dark .image.is-5by3,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by3{padding-top:60%}html.theme--documenter-dark .image.is-16by9,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-16by9{padding-top:56.25%}html.theme--documenter-dark .image.is-2by1,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by1{padding-top:50%}html.theme--documenter-dark .image.is-3by1,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by1{padding-top:33.3333%}html.theme--documenter-dark .image.is-4by5,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by5{padding-top:125%}html.theme--documenter-dark .image.is-3by4,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by4{padding-top:133.3333%}html.theme--documenter-dark .image.is-2by3,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by3{padding-top:150%}html.theme--documenter-dark .image.is-3by5,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by5{padding-top:166.6666%}html.theme--documenter-dark .image.is-9by16,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-9by16{padding-top:177.7777%}html.theme--documenter-dark .image.is-1by2,html.theme--documenter-dark #documenter 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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. 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    Edit on GitHub

    ChainRulesTestUtils

    CI Code Style: Blue

    ChainRulesTestUtils.jl helps you test ChainRulesCore.frule and ChainRulesCore.rrule methods, when adding rules for your functions in your own packages. For information about ChainRules, including how to write rules, refer to the general ChainRules Documentation:

    Testing Method Table Sensibility

    A basic feature of ChainRulesTestUtils is its ability to check that the method tables for rrule and frule remain sensible. This searches the method tables for methods that should not exist and when it fails tells you where they were defined. By calling test_method_tables ChainRulesTestUtils will check for things such as having attracted a rule to DataType rather than attaching it to a constructor. Basically all packages using ChainRulesTestUtils can use test_method_tables, as it is independent of what rules you have written.

    Canonical example of testing frule and rrule

    Let's suppose a custom transformation has been defined

    function two2three(x1::Float64, x2::Float64)
+    return 1.0, 2.0*x1, 3.0*x2
+end
+
+# output
+two2three (generic function with 1 method)

    along with the frule

    using ChainRulesCore
+
+function ChainRulesCore.frule((Δf, Δx1, Δx2), ::typeof(two2three), x1, x2)
+    y = two2three(x1, x2)
+    ∂y = Tangent{Tuple{Float64, Float64, Float64}}(ZeroTangent(), 2.0*Δx1, 3.0*Δx2)
+    return y, ∂y
+end
+# output
+

    and rrule which contains a mistake in the first cotangent

    function ChainRulesCore.rrule(::typeof(two2three), x1, x2)
+    y = two2three(x1, x2)
+    function two2three_pullback(Ȳ)
+        return (NoTangent(), 2.1*Ȳ[2], 3.0*Ȳ[3])
+    end
+    return y, two2three_pullback
+end
+# output
+

    The test_frule/test_rrule helper function compares the frule/rrule outputs to the gradients obtained by finite differencing. They can be used for any type and number of inputs and outputs.

    Testing the frule

    test_frule takes in the function f and the primal input x. The call will test the frule for function f at the point x in the domain. Keep this in mind when testing discontinuous rules for functions like ReLU, which should ideally be tested at both x being above and below zero.

    julia> using ChainRulesTestUtils;
+
+julia> test_frule(two2three, 3.33, -7.77);
+Test Summary:                            | Pass  Total  Time
+test_frule: two2three on Float64,Float64 |    6      6  2.7s
+

    Testing the rrule

    test_rrule takes in the function f, and primal inputs x. The call will test the rrule for function f at the point x, and similarly to frule some rules should be tested at multiple points in the domain.

    julia> test_rrule(two2three, 3.33, -7.77);
+test_rrule: two2three on Float64,Float64: Test Failed at /home/lior/.julia/dev/ChainRulesTestUtils/src/check_result.jl:24
+  Expression: isapprox(actual, expected; kwargs...)
+  Problem: cotangent for input 2, Float64
+   Evaluated: isapprox(-4.032, -3.840000000001641; rtol = 1.0e-9, atol = 1.0e-9)
+[...]

    The output of the test indicates to us the cause of the failure under "Problem:" with the expected (rrule derived) and actual finite difference results. The Problem lies with the cotangent corresponding to input 2 of rrule, which is the first cotangent as expected.

    Scalar example

    For functions with a single argument and a single output, such as e.g. ReLU,

    function relu(x::Real)
+    return max(0, x)
+end
+
+# output
+relu (generic function with 1 method)

    with the frule and rrule defined with the help of @scalar_rule macro

    @scalar_rule relu(x::Real) x <= 0 ? zero(x) : one(x)
+
+# output
+

    test_scalar function is provided to test both the frule and the rrule with a single call.

    julia> test_scalar(relu, 0.5);
+Test Summary:            | Pass  Total  Time
+test_scalar: relu at 0.5 |   11     11  0.5s
+
+
+julia> test_scalar(relu, -0.5);
+Test Summary:             | Pass  Total  Time
+test_scalar: relu at -0.5 |   11     11  0.0s
+

    Testing constructors and functors (callable objects)

    Testing constructor and functors works as you would expect. For struct Foo,

    struct Foo
+    a::Float64
+end
+(f::Foo)(x) = return f.a + x
+Base.length(::Foo) = 1
+Base.iterate(f::Foo) = iterate(f.a)
+Base.iterate(f::Foo, state) = iterate(f.a, state)

    after defining the constructor and functor f/rules,

    function ChainRulesCore.rrule(::Type{Foo}, val) # constructor rrule
+    y = Foo(val)
+    Foo_pb(ΔFoo) = (NoTangent(), unthunk(ΔFoo).a)
+    return y, Foo_pb
+end
+
+function ChainRulesCore.rrule(foo::Foo, val) # functor rrule
+    y = foo(val)
+    function foo_pb(Δ)
+        Δut = unthunk(Δ)
+        return (Tangent{Foo}(;a=Δut), Δut)
+    end
+    return y, foo_pb
+end

    both f/rrules can be tested by

    test_rrule(Foo, rand()) # constructor
+
+foo = Foo(rand())
+test_rrule(foo, rand()) # functor
+
+# it is also possible to provide tangents for `foo` explicitly
+test_frule(foo ⊢ Tangent{Foo}(;a=rand()), rand())

    Specifying Tangents

    test_frule and test_rrule allow you to specify the tangents used for testing. By default, tangents will be automatically generated via FiniteDifferences.rand_tangent. To explicitly specify a tangent, pass in x ⊢ Δx, where x is the primal and Δx is the tangent, in the place of the primal inputs. (You can enter ⊢ via \vdash + tab in the Julia REPL and supporting editors.) A special case of this is that if you specify it as x ⊢ NoTangent() then finite differencing will not be used on that input. Similarly, by setting the output_tangent keyword argument, you can specify the tangent for the primal output.

    This can be useful when the default provided FiniteDifferences.rand_tangent doesn't produce the desired tangent for your type. For example, the default tangent for an Int is NoTangent(), which is correct e.g. when the Int represents a discrete integer like in indexing. But if you are testing something where the Int is actually a special case of a real number, then you would want to specify the tangent as a Float64.

    Care must be taken when manually specifying tangents. In particular, when specifying the input tangents to test_frule and the output tangent to test_rrule. As these tangents are used to seed the derivative computation. Inserting inappropriate zeros can thus hide errors.

    Testing higher order functions

    Higher order functions, such as map, take a function (or a functor) f as an argument. f/rrules for these functions call back into AD to compute the f/rrule of f. To test these functions, we use a dummy AD system, which simply calls the appropriate rule for f directly. For this reason, when testing map(f, collection), the rules for f need to be defined. The RuleConfig for this dummy AD system is the default one, and does not need to be provided.

    test_rrule(map, x->2x [1, 2, 3.]) # fails, because there is no rrule for x->2x
+
+mydouble(x) = 2x
+function ChainRulesCore.rrule(::typeof(mydouble), x)
+    mydouble_pullback(ȳ) = (NoTangent(), ȳ)
+    return mydouble(x), mydouble_pullback
+end
+test_rrule(map, mydouble, [1, 2, 3.]) # works

    Testing AD systems

    The gradients computed by AD systems can be also be tested using test_rrule. To do that, one needs to provide an rrule_f/frule_f keyword argument, as well as the RuleConfig used by the AD system. rrule_f is a function that wraps the gradient computation by an AD system in the same API as the rrule. RuleConfig is an object that determines which sets of rules are defined for an AD system. For example, let's say we have a complicated function

    function complicated(x, y)
+    return do(x + y) + some(x) * hard(y) + maths(x * y)
+end

    that we do not know an rrule for, and we want to check whether the gradients provided by the AD system are correct.

    To test gradients computed by the AD system you need to provide a rrule_f function that acts like calling rrule but use AD rather than a defined rule. This has the exact same semantics as is required to overload ChainRulesCore.rrule_via_ad, thus almost all systems doing so should just overload that, and pass in that and the config, and then trigger test_rrule(MyADConfig, f, xs; rrule_f = ChainRulesCore.rrule_via_ad). See more info on rrule_via_ad and the rule configs in the ChainRules documentation. For some AD systems (e.g. Zygote) rrule_via_ad already exists. If it does not exist, see How to write rrule_via_ad function section below.

    We use the test_rrule function to test the gradients using the config used by the AD system

    config = MyAD.CustomRuleConfig()
+test_rrule(config, complicated, 2.3, 6.1; rrule_f=rrule_via_ad)

    by providing the rule config and specifying the rrule_via_ad as the rrule_f keyword argument.

    How to write rrule_via_ad function

    rrule_via_ad will use the AD system to compute gradients and will package them in the rrule-like API.

    Let's say the AD package uses some custom differential types and does not provide a gradient w.r.t. the function itself. In order to make the pullback compatible with the rrule API we need to add a NoTangent() to represent the differential w.r.t. the function itself. We also need to transform the ChainRules differential types to the custom types (cr2custom) before feeding the Δ to the AD-generated pullback, and back to ChainRules differential types when returning from the rrule (custom2cr).

    function rrule_via_ad(config::MyAD.CustomRuleConfig, f::Function, args...)
+    y, ad_pullback = MyAD.pullback(f, args...)
+    function rrulelike_pullback(Δ)
+        diffs = custom2cr(ad_pullback(cr2custom(Δ)))
+        return NoTangent(), diffs...
+    end
+        
+    return y, rrulelike_pullback
+end
+
+custom2cr(differential) = ...
+cr2custom(differential) = ...

    Custom finite differencing

    If a package is using a custom finite differencing method of testing the frules and rrules, test_approx function provides a convenient way of comparing various types of differentials.

    It is effectively (a, b) -> @test isapprox(a, b), but it preprocesses thunks and ChainRules differential types ZeroTangent(), NoTangent(), and Tangent, such that the error messages are helpful.

    For example,

    test_approx((@thunk 2*2.0), 4.1)

    shows both the expression and the evaluated thunks

       Expression: isapprox(actual, expected; kwargs...)
+   Evaluated: isapprox(4.0, 4.1)
+ERROR: There was an error during testing

    compared to

    julia> @test isapprox(@thunk 2*2.0, 4.0)
+Test Failed at REPL[52]:1
+  Expression: isapprox(#= REPL[52]:1 =# @thunk((2 * 2.0, 4.0)))
+   Evaluated: isapprox(Thunk(var"#24#25"()))
+ERROR: There was an error during testing

    which should have passed the test.

    Inference tests

    By default, all functions for testing rules check whether the output type (as well as that of the pullback for rrules) can be completely inferred, such that everything is type stable:

    julia> function ChainRulesCore.rrule(::typeof(abs), x)
+           abs_pullback(Δ) = (NoTangent(), x >= 0 ? Δ : big(-1.0) * Δ)
+           return abs(x), abs_pullback
+       end
+
+julia> test_rrule(abs, 1.)
+test_rrule: abs on Float64: Error During Test at /home/runner/work/ChainRulesTestUtils.jl/ChainRulesTestUtils.jl/src/testers.jl:170
+  Got exception outside of a @test
+  return type Tuple{ChainRulesCore.NoTangent, Float64} does not match inferred return type Tuple{ChainRulesCore.NoTangent, Union{Float64, BigFloat}}
+[...]

    This can be disabled on a per-rule basis using the check_inferred keyword argument:

    julia> test_rrule(abs, 1.; check_inferred=false)
+Test Summary:              | Pass  Total
+test_rrule: abs on Float64 |    5      5
+Test.DefaultTestSet("test_rrule: abs on Float64", Any[], 5, false, false)

    This behavior can also be overridden globally by setting the environment variable CHAINRULES_TEST_INFERRED before ChainRulesTestUtils is loaded or by changing ChainRulesTestUtils.TEST_INFERRED[] from inside Julia. ChainRulesTestUtils can detect whether a test is run as part of PkgEval and in this case disables inference tests automatically. Packages can use @maybe_inferred to get the same behavior for other inference tests.

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Otherwise it is determined from the function and argument types.\nAll remaining keyword arguments are passed to isapprox.\n\n\n\n\n\n","category":"method"},{"location":"api.html#ChainRulesTestUtils.@maybe_inferred-Tuple","page":"API","title":"ChainRulesTestUtils.@maybe_inferred","text":"@maybe_inferred [Type] f(...)\n\nLike @inferred, but does not check the return type if tests are run as part of PkgEval or if the environment variable CHAINRULES_TEST_INFERRED is set to false.\n\n\n\n\n\n","category":"macro"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"DocTestFilters = [r\"[0-9\\.]+s\",r\"isapprox\\(.*\\)\"]","category":"page"},{"location":"index.html#ChainRulesTestUtils","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"","category":"section"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"(Image: CI) (Image: Code Style: Blue)","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"ChainRulesTestUtils.jl helps you test ChainRulesCore.frule and ChainRulesCore.rrule methods, when adding rules for your functions in your own packages. For information about ChainRules, including how to write rules, refer to the general ChainRules Documentation: (Image: ) (Image: )","category":"page"},{"location":"index.html#Testing-Method-Table-Sensibility","page":"ChainRulesTestUtils","title":"Testing Method Table Sensibility","text":"","category":"section"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"A basic feature of ChainRulesTestUtils is its ability to check that the method tables for rrule and frule remain sensible. This searches the method tables for methods that should not exist and when it fails tells you where they were defined. By calling test_method_tables ChainRulesTestUtils will check for things such as having attracted a rule to DataType rather than attaching it to a constructor. Basically all packages using ChainRulesTestUtils can use test_method_tables, as it is independent of what rules you have written.","category":"page"},{"location":"index.html#Canonical-example-of-testing-frule-and-rrule","page":"ChainRulesTestUtils","title":"Canonical example of testing frule and rrule","text":"","category":"section"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"Let's suppose a custom transformation has been defined","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"function two2three(x1::Float64, x2::Float64)\n return 1.0, 2.0*x1, 3.0*x2\nend\n\n# output\ntwo2three (generic function with 1 method)","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"along with the frule","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"using ChainRulesCore\n\nfunction ChainRulesCore.frule((Δf, Δx1, Δx2), ::typeof(two2three), x1, x2)\n y = two2three(x1, x2)\n ∂y = Tangent{Tuple{Float64, Float64, Float64}}(ZeroTangent(), 2.0*Δx1, 3.0*Δx2)\n return y, ∂y\nend\n# output\n","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"and rrule which contains a mistake in the first cotangent","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"function ChainRulesCore.rrule(::typeof(two2three), x1, x2)\n y = two2three(x1, x2)\n function two2three_pullback(Ȳ)\n return (NoTangent(), 2.1*Ȳ[2], 3.0*Ȳ[3])\n end\n return y, two2three_pullback\nend\n# output\n","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"The test_frule/test_rrule helper function compares the frule/rrule outputs to the gradients obtained by finite differencing. They can be used for any type and number of inputs and outputs.","category":"page"},{"location":"index.html#Testing-the-frule","page":"ChainRulesTestUtils","title":"Testing the frule","text":"","category":"section"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"test_frule takes in the function f and the primal input x. The call will test the frule for function f at the point x in the domain. Keep this in mind when testing discontinuous rules for functions like ReLU, which should ideally be tested at both x being above and below zero.","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"julia> using ChainRulesTestUtils;\n\njulia> test_frule(two2three, 3.33, -7.77);\nTest Summary: | Pass Total Time\ntest_frule: two2three on Float64,Float64 | 6 6 2.7s\n","category":"page"},{"location":"index.html#Testing-the-rrule","page":"ChainRulesTestUtils","title":"Testing the rrule","text":"","category":"section"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"test_rrule takes in the function f, and primal inputs x. The call will test the rrule for function f at the point x, and similarly to frule some rules should be tested at multiple points in the domain.","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"julia> test_rrule(two2three, 3.33, -7.77);\ntest_rrule: two2three on Float64,Float64: Test Failed at /home/lior/.julia/dev/ChainRulesTestUtils/src/check_result.jl:24\n Expression: isapprox(actual, expected; kwargs...)\n Problem: cotangent for input 2, Float64\n Evaluated: isapprox(-4.032, -3.840000000001641; rtol = 1.0e-9, atol = 1.0e-9)\n[...]","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"The output of the test indicates to us the cause of the failure under \"Problem:\" with the expected (rrule derived) and actual finite difference results. The Problem lies with the cotangent corresponding to input 2 of rrule, which is the first cotangent as expected. ","category":"page"},{"location":"index.html#Scalar-example","page":"ChainRulesTestUtils","title":"Scalar example","text":"","category":"section"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"For functions with a single argument and a single output, such as e.g. ReLU,","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"function relu(x::Real)\n return max(0, x)\nend\n\n# output\nrelu (generic function with 1 method)","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"with the frule and rrule defined with the help of @scalar_rule macro","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"@scalar_rule relu(x::Real) x <= 0 ? zero(x) : one(x)\n\n# output\n","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"test_scalar function is provided to test both the frule and the rrule with a single call.","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"julia> test_scalar(relu, 0.5);\nTest Summary: | Pass Total Time\ntest_scalar: relu at 0.5 | 11 11 0.5s\n\n\njulia> test_scalar(relu, -0.5);\nTest Summary: | Pass Total Time\ntest_scalar: relu at -0.5 | 11 11 0.0s\n","category":"page"},{"location":"index.html#Testing-constructors-and-functors-(callable-objects)","page":"ChainRulesTestUtils","title":"Testing constructors and functors (callable objects)","text":"","category":"section"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"Testing constructor and functors works as you would expect. For struct Foo,","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"struct Foo\n a::Float64\nend\n(f::Foo)(x) = return f.a + x\nBase.length(::Foo) = 1\nBase.iterate(f::Foo) = iterate(f.a)\nBase.iterate(f::Foo, state) = iterate(f.a, state)","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"after defining the constructor and functor f/rules,","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"function ChainRulesCore.rrule(::Type{Foo}, val) # constructor rrule\n y = Foo(val)\n Foo_pb(ΔFoo) = (NoTangent(), unthunk(ΔFoo).a)\n return y, Foo_pb\nend\n\nfunction ChainRulesCore.rrule(foo::Foo, val) # functor rrule\n y = foo(val)\n function foo_pb(Δ)\n Δut = unthunk(Δ)\n return (Tangent{Foo}(;a=Δut), Δut)\n end\n return y, foo_pb\nend","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"both f/rrules can be tested by","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"test_rrule(Foo, rand()) # constructor\n\nfoo = Foo(rand())\ntest_rrule(foo, rand()) # functor\n\n# it is also possible to provide tangents for `foo` explicitly\ntest_frule(foo ⊢ Tangent{Foo}(;a=rand()), rand())","category":"page"},{"location":"index.html#Specifying-Tangents","page":"ChainRulesTestUtils","title":"Specifying Tangents","text":"","category":"section"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"test_frule and test_rrule allow you to specify the tangents used for testing. By default, tangents will be automatically generated via FiniteDifferences.rand_tangent. To explicitly specify a tangent, pass in x ⊢ Δx, where x is the primal and Δx is the tangent, in the place of the primal inputs. (You can enter ⊢ via \\vdash + tab in the Julia REPL and supporting editors.) A special case of this is that if you specify it as x ⊢ NoTangent() then finite differencing will not be used on that input. Similarly, by setting the output_tangent keyword argument, you can specify the tangent for the primal output.","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"This can be useful when the default provided FiniteDifferences.rand_tangent doesn't produce the desired tangent for your type. For example, the default tangent for an Int is NoTangent(), which is correct e.g. when the Int represents a discrete integer like in indexing. But if you are testing something where the Int is actually a special case of a real number, then you would want to specify the tangent as a Float64.","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"Care must be taken when manually specifying tangents. In particular, when specifying the input tangents to test_frule and the output tangent to test_rrule. As these tangents are used to seed the derivative computation. Inserting inappropriate zeros can thus hide errors.","category":"page"},{"location":"index.html#Testing-higher-order-functions","page":"ChainRulesTestUtils","title":"Testing higher order functions","text":"","category":"section"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"Higher order functions, such as map, take a function (or a functor) f as an argument. f/rrules for these functions call back into AD to compute the f/rrule of f. To test these functions, we use a dummy AD system, which simply calls the appropriate rule for f directly. For this reason, when testing map(f, collection), the rules for f need to be defined. The RuleConfig for this dummy AD system is the default one, and does not need to be provided.","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"test_rrule(map, x->2x [1, 2, 3.]) # fails, because there is no rrule for x->2x\n\nmydouble(x) = 2x\nfunction ChainRulesCore.rrule(::typeof(mydouble), x)\n mydouble_pullback(ȳ) = (NoTangent(), ȳ)\n return mydouble(x), mydouble_pullback\nend\ntest_rrule(map, mydouble, [1, 2, 3.]) # works","category":"page"},{"location":"index.html#Testing-AD-systems","page":"ChainRulesTestUtils","title":"Testing AD systems","text":"","category":"section"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"The gradients computed by AD systems can be also be tested using test_rrule. To do that, one needs to provide an rrule_f/frule_f keyword argument, as well as the RuleConfig used by the AD system. rrule_f is a function that wraps the gradient computation by an AD system in the same API as the rrule. RuleConfig is an object that determines which sets of rules are defined for an AD system. For example, let's say we have a complicated function","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"function complicated(x, y)\n return do(x + y) + some(x) * hard(y) + maths(x * y)\nend","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"that we do not know an rrule for, and we want to check whether the gradients provided by the AD system are correct.","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"To test gradients computed by the AD system you need to provide a rrule_f function that acts like calling rrule but use AD rather than a defined rule. This has the exact same semantics as is required to overload ChainRulesCore.rrule_via_ad, thus almost all systems doing so should just overload that, and pass in that and the config, and then trigger test_rrule(MyADConfig, f, xs; rrule_f = ChainRulesCore.rrule_via_ad). See more info on rrule_via_ad and the rule configs in the ChainRules documentation. For some AD systems (e.g. Zygote) rrule_via_ad already exists. If it does not exist, see How to write rrule_via_ad function section below.","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"We use the test_rrule function to test the gradients using the config used by the AD system","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"config = MyAD.CustomRuleConfig()\ntest_rrule(config, complicated, 2.3, 6.1; rrule_f=rrule_via_ad)","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"by providing the rule config and specifying the rrule_via_ad as the rrule_f keyword argument.","category":"page"},{"location":"index.html#How-to-write-rrule_via_ad-function","page":"ChainRulesTestUtils","title":"How to write rrule_via_ad function","text":"","category":"section"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"rrule_via_ad will use the AD system to compute gradients and will package them in the rrule-like API.","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"Let's say the AD package uses some custom differential types and does not provide a gradient w.r.t. the function itself. In order to make the pullback compatible with the rrule API we need to add a NoTangent() to represent the differential w.r.t. the function itself. We also need to transform the ChainRules differential types to the custom types (cr2custom) before feeding the Δ to the AD-generated pullback, and back to ChainRules differential types when returning from the rrule (custom2cr).","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"function rrule_via_ad(config::MyAD.CustomRuleConfig, f::Function, args...)\n y, ad_pullback = MyAD.pullback(f, args...)\n function rrulelike_pullback(Δ)\n diffs = custom2cr(ad_pullback(cr2custom(Δ)))\n return NoTangent(), diffs...\n end\n \n return y, rrulelike_pullback\nend\n\ncustom2cr(differential) = ...\ncr2custom(differential) = ...","category":"page"},{"location":"index.html#Custom-finite-differencing","page":"ChainRulesTestUtils","title":"Custom finite differencing","text":"","category":"section"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"If a package is using a custom finite differencing method of testing the frules and rrules, test_approx function provides a convenient way of comparing various types of differentials.","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"It is effectively (a, b) -> @test isapprox(a, b), but it preprocesses thunks and ChainRules differential types ZeroTangent(), NoTangent(), and Tangent, such that the error messages are helpful.","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"For example,","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"test_approx((@thunk 2*2.0), 4.1)","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"shows both the expression and the evaluated thunks","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":" Expression: isapprox(actual, expected; kwargs...)\n Evaluated: isapprox(4.0, 4.1)\nERROR: There was an error during testing","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"compared to","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"julia> @test isapprox(@thunk 2*2.0, 4.0)\nTest Failed at REPL[52]:1\n Expression: isapprox(#= REPL[52]:1 =# @thunk((2 * 2.0, 4.0)))\n Evaluated: isapprox(Thunk(var\"#24#25\"()))\nERROR: There was an error during testing","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"which should have passed the test.","category":"page"},{"location":"index.html#Inference-tests","page":"ChainRulesTestUtils","title":"Inference tests","text":"","category":"section"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"By default, all functions for testing rules check whether the output type (as well as that of the pullback for rrules) can be completely inferred, such that everything is type stable:","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"julia> function ChainRulesCore.rrule(::typeof(abs), x)\n abs_pullback(Δ) = (NoTangent(), x >= 0 ? Δ : big(-1.0) * Δ)\n return abs(x), abs_pullback\n end\n\njulia> test_rrule(abs, 1.)\ntest_rrule: abs on Float64: Error During Test at /home/runner/work/ChainRulesTestUtils.jl/ChainRulesTestUtils.jl/src/testers.jl:170\n Got exception outside of a @test\n return type Tuple{ChainRulesCore.NoTangent, Float64} does not match inferred return type Tuple{ChainRulesCore.NoTangent, Union{Float64, BigFloat}}\n[...]","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"This can be disabled on a per-rule basis using the check_inferred keyword argument:","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"julia> test_rrule(abs, 1.; check_inferred=false)\nTest Summary: | Pass Total\ntest_rrule: abs on Float64 | 5 5\nTest.DefaultTestSet(\"test_rrule: abs on Float64\", Any[], 5, false, false)","category":"page"},{"location":"index.html","page":"ChainRulesTestUtils","title":"ChainRulesTestUtils","text":"This behavior can also be overridden globally by setting the environment variable CHAINRULES_TEST_INFERRED before ChainRulesTestUtils is loaded or by changing ChainRulesTestUtils.TEST_INFERRED[] from inside Julia. ChainRulesTestUtils can detect whether a test is run as part of PkgEval and in this case disables inference tests automatically. Packages can use @maybe_inferred to get the same behavior for other inference tests.","category":"page"}] +} diff --git a/previews/PR289/siteinfo.js b/previews/PR289/siteinfo.js new file mode 100644 index 00000000..438104f7 --- /dev/null +++ b/previews/PR289/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "previews/PR289";