diff --git a/DifferentiationInterfaceTest/previews/PR233/.documenter-siteinfo.json b/DifferentiationInterfaceTest/previews/PR233/.documenter-siteinfo.json new file mode 100644 index 000000000..a07c7d618 --- /dev/null +++ b/DifferentiationInterfaceTest/previews/PR233/.documenter-siteinfo.json @@ -0,0 +1 @@ +{"documenter":{"julia_version":"1.10.2","generation_timestamp":"2024-04-29T11:47:27","documenter_version":"1.4.0"}} \ No newline at end of file diff --git a/DifferentiationInterfaceTest/previews/PR233/api/index.html b/DifferentiationInterfaceTest/previews/PR233/api/index.html new file mode 100644 index 000000000..ffe6510ae --- /dev/null +++ b/DifferentiationInterfaceTest/previews/PR233/api/index.html @@ -0,0 +1,52 @@ + +API reference · DifferentiationInterfaceTest.jl
GitHub

API reference

Entry points

DifferentiationInterfaceTest.test_differentiation — Function
test_differentiation(
+    backends::Vector{<:ADTypes.AbstractADType};
+    ...
+)
+test_differentiation(
+    backends::Vector{<:ADTypes.AbstractADType},
+    scenarios::Vector{<:AbstractScenario};
+    correctness,
+    type_stability,
+    call_count,
+    sparsity,
+    ref_backend,
+    detailed,
+    input_type,
+    output_type,
+    first_order,
+    second_order,
+    onearg,
+    twoarg,
+    inplace,
+    outofplace,
+    excluded,
+    logging,
+    isapprox,
+    atol,
+    rtol
+)
+

Cross-test a list of backends on a list of scenarios, running a variety of different tests.

Default arguments

Keyword arguments

Testing:

  • correctness=true: whether to compare the differentiation results with the theoretical values specified in each scenario
  • type_stability=false: whether to check type stability with JET.jl (thanks to @test_opt)
  • sparsity: whether to check sparsity of the jacobian / hessian
  • ref_backend: if not nothing, an ADTypes.AbstractADType object to use instead of the scenario-specific reference to provide true values
  • detailed=false: whether to print a detailed or condensed test log

Filtering:

  • input_type=Any, output_type=Any: restrict scenario inputs / outputs to subtypes of this
  • first_order=true, second_order=true: include first order / second order operators
  • onearg=true, twoarg=true: include one-argument / two-argument functions
  • inplace=true, outofplace=true: include in-place / out-of-place operators

Options:

  • logging=false: whether to log progress
  • isapprox=isapprox: function used to compare objects, with the standard signature isapprox(x, y; atol, rtol)
  • atol=0: absolute precision for correctness testing (when comparing to the reference outputs)
  • rtol=1e-3: relative precision for correctness testing (when comparing to the reference outputs)
source
test_differentiation(
+    backend::ADTypes.AbstractADType,
+    args...;
+    kwargs...
+)
+

Shortcut for a single backend.

source
DifferentiationInterfaceTest.benchmark_differentiation — Function
benchmark_differentiation(
+    backends::Vector{<:ADTypes.AbstractADType};
+    ...
+) -> Vector{DifferentiationInterfaceTest.BenchmarkDataRow}
+benchmark_differentiation(
+    backends::Vector{<:ADTypes.AbstractADType},
+    scenarios::Vector{<:AbstractScenario};
+    input_type,
+    output_type,
+    first_order,
+    second_order,
+    onearg,
+    twoarg,
+    inplace,
+    outofplace,
+    excluded,
+    logging
+) -> Vector{DifferentiationInterfaceTest.BenchmarkDataRow}
+

Benchmark a list of backends for a list of operators on a list of scenarios.

Keyword arguments

  • filtering: same as test_differentiation for the filtering part.
  • logging=false: whether to log progress
source

Pre-made scenario lists

Scenario types

DifferentiationInterfaceTest.AbstractScenario — Type
AbstractScenario

Store a testing scenario composed of a function and its input + output.

This abstract type should never be used directly: construct one of the subtypes corresponding to the operator you want to test.

Subtypes

Fields

All subtypes have the following fields:

  • f: function to apply
  • x: primal input
  • y: primal output
  • ref: reference to compare against

In addition, some subtypes contain an additional seed (dx or dy).

Constructor

If y is provided, f is interpreted as a 2-argument function f!(y, x) = nothing. Otherwise, f is interpreted as an 1-argument function f(x) = y.

The reference keyword ref should be a function that takes x (and a potential seed dx or dy) to return the correct object.

The keyword place should be either :inplace or :outofplace depending on what kind of operator must be tested.

source

Internals

This is not part of the public API.

DifferentiationInterfaceTest.BenchmarkDataRow — Type
BenchmarkDataRow

Ad-hoc storage type for differentiation benchmarking results. If you have a vector rows::Vector{BenchmarkDataRow}, you can turn it into a DataFrame as follows:

df = DataFrames.DataFrame(rows)

Fields

These are not part of the public API.

  • backend::String

  • mode::ADTypes.AbstractMode

  • scenario::Symbol

  • operator::Symbol

  • arguments::Int64

  • place::Symbol

  • func::Symbol

  • input_type::Type

  • output_type::Type

  • input_size::Tuple

  • output_size::Tuple

  • calls::Int64

  • samples::Int64

  • evals::Int64

  • time::Float64

  • bytes::Float64

  • allocs::Float64

  • compile_fraction::Float64

  • gc_fraction::Float64

source
diff --git a/DifferentiationInterfaceTest/previews/PR233/assets/documenter.js b/DifferentiationInterfaceTest/previews/PR233/assets/documenter.js new file mode 100644 index 000000000..c6562b558 --- /dev/null +++ b/DifferentiationInterfaceTest/previews/PR233/assets/documenter.js @@ -0,0 +1,1050 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia.min', + 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', + 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.13.2/jquery-ui.min', + 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/contrib/auto-render.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.0/jquery.min', + 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', + 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/katex.min', + 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/highlight.min', + 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia-repl.min', + }, + shim: { + "highlight-julia": { + "deps": [ + "highlight" + ] + }, + "katex-auto-render": { + "deps": [ + "katex" + ] + }, + "headroom-jquery": { + "deps": [ + "jquery", + "headroom" + ] + }, + "highlight-julia-repl": { + "deps": [ + "highlight" + ] + } +} +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) { +$(document).ready(function() { + renderMathInElement( + document.body, + { + "delimiters": [ + { + "left": "$", + "right": "$", + "display": false + }, + { + "left": "$$", + "right": "$$", + "display": true + }, + { + "left": "\\[", + "right": "\\]", + "display": true + } + ] +} + + ); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) { +$(document).ready(function() { + hljs.highlightAll(); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +let timer = 0; +var isExpanded = true; + +$(document).on("click", ".docstring header", function () { + let articleToggleTitle = "Expand docstring"; + + debounce(() => { + if ($(this).siblings("section").is(":visible")) { + $(this) + .find(".docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + } else { + $(this) + .find(".docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + articleToggleTitle = "Collapse docstring"; + } + + $(this) + .find(".docstring-article-toggle-button") + .prop("title", articleToggleTitle); + $(this).siblings("section").slideToggle(); + }); +}); + +$(document).on("click", ".docs-article-toggle-button", function (event) { + let articleToggleTitle = "Expand docstring"; + let navArticleToggleTitle = "Expand all docstrings"; + let animationSpeed = event.noToggleAnimation ? 0 : 400; + + debounce(() => { + if (isExpanded) { + $(this).removeClass("fa-chevron-up").addClass("fa-chevron-down"); + $(".docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + + isExpanded = false; + + $(".docstring section").slideUp(animationSpeed); + } else { + $(this).removeClass("fa-chevron-down").addClass("fa-chevron-up"); + $(".docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + isExpanded = true; + articleToggleTitle = "Collapse docstring"; + navArticleToggleTitle = "Collapse all docstrings"; + + $(".docstring section").slideDown(animationSpeed); + } + + $(this).prop("title", navArticleToggleTitle); + $(".docstring-article-toggle-button").prop("title", articleToggleTitle); + }); +}); + +function debounce(callback, timeout = 300) { + if (Date.now() - timer > timeout) { + callback(); + } + + clearTimeout(timer); + + timer = Date.now(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fa-solid", "fa-copy"); + button.setAttribute("aria-label", "Copy this code block"); + button.setAttribute("title", "Copy"); + + el.appendChild(button); + + const success = function () { + button.classList.add("success", "fa-check"); + button.classList.remove("fa-copy"); + }; + + const failure = function () { + button.classList.add("error", "fa-xmark"); + button.classList.remove("fa-copy"); + }; + + button.addEventListener("click", function () { + copyToClipboard(el.innerText).then(success, failure); + + setTimeout(function () { + button.classList.add("fa-copy"); + button.classList.remove("success", "fa-check", "fa-xmark"); + }, 5000); + }); + } +} + +function copyToClipboard(text) { + // clipboard API is only available in secure contexts + if (window.navigator && window.navigator.clipboard) { + return window.navigator.clipboard.writeText(text); + } else { + return new Promise(function (resolve, reject) { + try { + const el = document.createElement("textarea"); + el.textContent = text; + el.style.position = "fixed"; + el.style.opacity = 0; + document.body.appendChild(el); + el.select(); + document.execCommand("copy"); + + resolve(); + } catch (err) { + reject(err); + } finally { + document.body.removeChild(el); + } + }); + } +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks); +} else { + addCopyButtonCallbacks(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { + +// Manages the top navigation bar (hides it when the user starts scrolling down on the +// mobile). +window.Headroom = Headroom; // work around buggy module loading? +$(document).ready(function () { + $("#documenter .docs-navbar").headroom({ + tolerance: { up: 10, down: 10 }, + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +$(document).ready(function () { + let meta = $("div[data-docstringscollapsed]").data(); + + if (meta?.docstringscollapsed) { + $("#documenter-article-toggle-button").trigger({ + type: "click", + noToggleAnimation: true, + }); + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +/* +To get an in-depth about the thought process you can refer: https://hetarth02.hashnode.dev/series/gsoc + +PSEUDOCODE: + +Searching happens automatically as the user types or adjusts the selected filters. +To preserve responsiveness, as much as possible of the slow parts of the search are done +in a web worker. Searching and result generation are done in the worker, and filtering and +DOM updates are done in the main thread. The filters are in the main thread as they should +be very quick to apply. This lets filters be changed without re-searching with minisearch +(which is possible even if filtering is on the worker thread) and also lets filters be +changed _while_ the worker is searching and without message passing (neither of which are +possible if filtering is on the worker thread) + +SEARCH WORKER: + +Import minisearch + +Build index + +On message from main thread + run search + find the first 200 unique results from each category, and compute their divs for display + note that this is necessary and sufficient information for the main thread to find the + first 200 unique results from any given filter set + post results to main thread + +MAIN: + +Launch worker + +Declare nonconstant globals (worker_is_running, last_search_text, unfiltered_results) + +On text update + if worker is not running, launch_search() + +launch_search + set worker_is_running to true, set last_search_text to the search text + post the search query to worker + +on message from worker + if last_search_text is not the same as the text in the search field, + the latest search result is not reflective of the latest search query, so update again + launch_search() + otherwise + set worker_is_running to false + + regardless, display the new search results to the user + save the unfiltered_results as a global + update_search() + +on filter click + adjust the filter selection + update_search() + +update_search + apply search filters by looping through the unfiltered_results and finding the first 200 + unique results that match the filters + + Update the DOM +*/ + +/////// SEARCH WORKER /////// + +function worker_function(documenterSearchIndex, documenterBaseURL, filters) { + importScripts( + "https://cdn.jsdelivr.net/npm/minisearch@6.1.0/dist/umd/index.min.js" + ); + + let data = documenterSearchIndex.map((x, key) => { + x["id"] = key; // minisearch requires a unique for each object + return x; + }); + + // list below is the lunr 2.1.3 list minus the intersect with names(Base) + // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) + // ideally we'd just filter the original list but it's not available as a variable + const stopWords = new Set([ + "a", + "able", + "about", + "across", + "after", + "almost", + "also", + "am", + "among", + "an", + "and", + "are", + "as", + "at", + "be", + "because", + "been", + "but", + "by", + "can", + "cannot", + "could", + "dear", + "did", + "does", + "either", + "ever", + "every", + "from", + "got", + "had", + "has", + "have", + "he", + "her", + "hers", + "him", + "his", + "how", + "however", + "i", + "if", + "into", + "it", + "its", + "just", + "least", + "like", + "likely", + "may", + "me", + "might", + "most", + "must", + "my", + "neither", + "no", + "nor", + "not", + "of", + "off", + "often", + "on", + "or", + "other", + "our", + "own", + "rather", + "said", + "say", + "says", + "she", + "should", + "since", + "so", + "some", + "than", + "that", + "the", + "their", + "them", + "then", + "there", + "these", + "they", + "this", + "tis", + "to", + "too", + "twas", + "us", + "wants", + "was", + "we", + "were", + "what", + "when", + "who", + "whom", + "why", + "will", + "would", + "yet", + "you", + "your", + ]); + + let index = new MiniSearch({ + fields: ["title", "text"], // fields to index for full-text search + storeFields: ["location", "title", "text", "category", "page"], // fields to return with results + processTerm: (term) => { + let word = stopWords.has(term) ? null : term; + if (word) { + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + word = word + .replace(/^[^a-zA-Z0-9@!]+/, "") + .replace(/[^a-zA-Z0-9@!]+$/, ""); + + word = word.toLowerCase(); + } + + return word ?? null; + }, + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!", would not + // find anything if searching for "add!", only for the entire qualification + tokenize: (string) => string.split(/[\s\-\.]+/), + // options which will be applied during the search + searchOptions: { + prefix: true, + boost: { title: 100 }, + fuzzy: 2, + }, + }); + + index.addAll(data); + + /** + * Used to map characters to HTML entities. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const htmlEscapes = { + "&": "&", + "<": "<", + ">": ">", + '"': """, + "'": "'", + }; + + /** + * Used to match HTML entities and HTML characters. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const reUnescapedHtml = /[&<>"']/g; + const reHasUnescapedHtml = RegExp(reUnescapedHtml.source); + + /** + * Escape function from lodash + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + function escape(string) { + return string && reHasUnescapedHtml.test(string) + ? string.replace(reUnescapedHtml, (chr) => htmlEscapes[chr]) + : string || ""; + } + + /** + * Make the result component given a minisearch result data object and the value + * of the search input as queryString. To view the result object structure, refer: + * https://lucaong.github.io/minisearch/modules/_minisearch_.html#searchresult + * + * @param {object} result + * @param {string} querystring + * @returns string + */ + function make_search_result(result, querystring) { + let search_divider = `
`; + let display_link = + result.location.slice(Math.max(0), Math.min(50, result.location.length)) + + (result.location.length > 30 ? "..." : ""); // To cut-off the link because it messes with the overflow of the whole div + + if (result.page !== "") { + display_link += ` (${result.page})`; + } + + let textindex = new RegExp(`${querystring}`, "i").exec(result.text); + let text = + textindex !== null + ? result.text.slice( + Math.max(textindex.index - 100, 0), + Math.min( + textindex.index + querystring.length + 100, + result.text.length + ) + ) + : ""; // cut-off text before and after from the match + + text = text.length ? escape(text) : ""; + + let display_result = text.length + ? "..." + + text.replace( + new RegExp(`${escape(querystring)}`, "i"), // For first occurrence + '$&' + ) + + "..." + : ""; // highlights the match + + let in_code = false; + if (!["page", "section"].includes(result.category.toLowerCase())) { + in_code = true; + } + + // We encode the full url to escape some special characters which can lead to broken links + let result_div = ` + +
+
${escape(result.title)}
+
${result.category}
+
+

+ ${display_result} +

+
+ ${display_link} +
+ + ${search_divider} + `; + + return result_div; + } + + self.onmessage = function (e) { + let query = e.data; + let results = index.search(query, { + filter: (result) => { + // Only return relevant results + return result.score >= 1; + }, + }); + + // Pre-filter to deduplicate and limit to 200 per category to the extent + // possible without knowing what the filters are. + let filtered_results = []; + let counts = {}; + for (let filter of filters) { + counts[filter] = 0; + } + let present = {}; + + for (let result of results) { + cat = result.category; + cnt = counts[cat]; + if (cnt < 200) { + id = cat + "---" + result.location; + if (present[id]) { + continue; + } + present[id] = true; + filtered_results.push({ + location: result.location, + category: cat, + div: make_search_result(result, query), + }); + } + } + + postMessage(filtered_results); + }; +} + +// `worker = Threads.@spawn worker_function(documenterSearchIndex)`, but in JavaScript! +const filters = [ + ...new Set(documenterSearchIndex["docs"].map((x) => x.category)), +]; +const worker_str = + "(" + + worker_function.toString() + + ")(" + + JSON.stringify(documenterSearchIndex["docs"]) + + "," + + JSON.stringify(documenterBaseURL) + + "," + + JSON.stringify(filters) + + ")"; +const worker_blob = new Blob([worker_str], { type: "text/javascript" }); +const worker = new Worker(URL.createObjectURL(worker_blob)); + +/////// SEARCH MAIN /////// + +// Whether the worker is currently handling a search. This is a boolean +// as the worker only ever handles 1 or 0 searches at a time. +var worker_is_running = false; + +// The last search text that was sent to the worker. This is used to determine +// if the worker should be launched again when it reports back results. +var last_search_text = ""; + +// The results of the last search. This, in combination with the state of the filters +// in the DOM, is used compute the results to display on calls to update_search. +var unfiltered_results = []; + +// Which filter is currently selected +var selected_filter = ""; + +$(document).on("input", ".documenter-search-input", function (event) { + if (!worker_is_running) { + launch_search(); + } +}); + +function launch_search() { + worker_is_running = true; + last_search_text = $(".documenter-search-input").val(); + worker.postMessage(last_search_text); +} + +worker.onmessage = function (e) { + if (last_search_text !== $(".documenter-search-input").val()) { + launch_search(); + } else { + worker_is_running = false; + } + + unfiltered_results = e.data; + update_search(); +}; + +$(document).on("click", ".search-filter", function () { + if ($(this).hasClass("search-filter-selected")) { + selected_filter = ""; + } else { + selected_filter = $(this).text().toLowerCase(); + } + + // This updates search results and toggles classes for UI: + update_search(); +}); + +/** + * Make/Update the search component + */ +function update_search() { + let querystring = $(".documenter-search-input").val(); + + if (querystring.trim()) { + if (selected_filter == "") { + results = unfiltered_results; + } else { + results = unfiltered_results.filter((result) => { + return selected_filter == result.category.toLowerCase(); + }); + } + + let search_result_container = ``; + let modal_filters = make_modal_body_filters(); + let search_divider = `
`; + + if (results.length) { + let links = []; + let count = 0; + let search_results = ""; + + for (var i = 0, n = results.length; i < n && count < 200; ++i) { + let result = results[i]; + if (result.location && !links.includes(result.location)) { + search_results += result.div; + count++; + links.push(result.location); + } + } + + if (count == 1) { + count_str = "1 result"; + } else if (count == 200) { + count_str = "200+ results"; + } else { + count_str = count + " results"; + } + let result_count = `
${count_str}
`; + + search_result_container = ` +
+ ${modal_filters} + ${search_divider} + ${result_count} +
+ ${search_results} +
+
+ `; + } else { + search_result_container = ` +
+ ${modal_filters} + ${search_divider} +
0 result(s)
+
+
No result found!
+ `; + } + + if ($(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").removeClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(search_result_container); + } else { + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(` +
Type something to get started!
+ `); + } +} + +/** + * Make the modal filter html + * + * @returns string + */ +function make_modal_body_filters() { + let str = filters + .map((val) => { + if (selected_filter == val.toLowerCase()) { + return `${val}`; + } else { + return `${val}`; + } + }) + .join(""); + + return ` +
+ Filters: + ${str} +
`; +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Modal settings dialog +$(document).ready(function () { + var settings = $("#documenter-settings"); + $("#documenter-settings-button").click(function () { + settings.toggleClass("is-active"); + }); + // Close the dialog if X is clicked + $("#documenter-settings button.delete").click(function () { + settings.removeClass("is-active"); + }); + // Close dialog if ESC is pressed + $(document).keyup(function (e) { + if (e.keyCode == 27) settings.removeClass("is-active"); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +$(document).ready(function () { + let search_modal_header = ` +
+
+

+ + + + +

+
+
+ +
+
+ `; + + let initial_search_body = ` +
Type something to get started!
+ `; + + let search_modal_footer = ` + + `; + + $(document.body).append( + ` + + ` + ); + + document.querySelector(".docs-search-query").addEventListener("click", () => { + openModal(); + }); + + document + .querySelector(".close-search-modal") + .addEventListener("click", () => { + closeModal(); + }); + + $(document).on("click", ".search-result-link", function () { + closeModal(); + }); + + document.addEventListener("keydown", (event) => { + if ((event.ctrlKey || event.metaKey) && event.key === "/") { + openModal(); + } else if (event.key === "Escape") { + closeModal(); + } + + return false; + }); + + // Functions to open and close a modal + function openModal() { + let searchModal = document.querySelector("#search-modal"); + + searchModal.classList.add("is-active"); + document.querySelector(".documenter-search-input").focus(); + } + + function closeModal() { + let searchModal = document.querySelector("#search-modal"); + let initial_search_body = ` +
Type something to get started!
+ `; + + searchModal.classList.remove("is-active"); + document.querySelector(".documenter-search-input").blur(); + + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".documenter-search-input").val(""); + $(".search-modal-card-body").html(initial_search_body); + } + + document + .querySelector("#search-modal .modal-background") + .addEventListener("click", () => { + closeModal(); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Manages the showing and hiding of the sidebar. +$(document).ready(function () { + var sidebar = $("#documenter > .docs-sidebar"); + var sidebar_button = $("#documenter-sidebar-button"); + sidebar_button.click(function (ev) { + ev.preventDefault(); + sidebar.toggleClass("visible"); + if (sidebar.hasClass("visible")) { + // Makes sure that the current menu item is visible in the sidebar. + $("#documenter .docs-menu a.is-active").focus(); + } + }); + $("#documenter > .docs-main").bind("click", function (ev) { + if ($(ev.target).is(sidebar_button)) { + return; + } + if (sidebar.hasClass("visible")) { + sidebar.removeClass("visible"); + } + }); +}); + +// Resizes the package name / sitename in the sidebar if it is too wide. +// Inspired by: https://github.com/davatron5000/FitText.js +$(document).ready(function () { + e = $("#documenter .docs-autofit"); + function resize() { + var L = parseInt(e.css("max-width"), 10); + var L0 = e.width(); + if (L0 > L) { + var h0 = parseInt(e.css("font-size"), 10); + e.css("font-size", (L * h0) / L0); + // TODO: make sure it survives resizes? + } + } + // call once and then register events + resize(); + $(window).resize(resize); + $(window).on("orientationchange", resize); +}); + +// Scroll the navigation bar to the currently selected menu item +$(document).ready(function () { + var sidebar = $("#documenter .docs-menu").get(0); + var active = $("#documenter .docs-menu .is-active").get(0); + if (typeof active !== "undefined") { + sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Theme picker setup +$(document).ready(function () { + // onchange callback + $("#documenter-themepicker").change(function themepick_callback(ev) { + var themename = $("#documenter-themepicker option:selected").attr("value"); + if (themename === "auto") { + // set_theme(window.matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light'); + window.localStorage.removeItem("documenter-theme"); + } else { + // set_theme(themename); + window.localStorage.setItem("documenter-theme", themename); + } + // We re-use the global function from themeswap.js to actually do the swapping. + set_theme_from_local_storage(); + }); + + // Make sure that the themepicker displays the correct theme when the theme is retrieved + // from localStorage + if (typeof window.localStorage !== "undefined") { + var theme = window.localStorage.getItem("documenter-theme"); + if (theme !== null) { + $("#documenter-themepicker option").each(function (i, e) { + e.selected = e.value === theme; + }); + } + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// update the version selector with info from the siteinfo.js and ../versions.js files +$(document).ready(function () { + // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the + // siteinfo.js file, we just return immediately and not display the version selector. + if ( + typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === "boolean" && + DOCUMENTER_VERSION_SELECTOR_DISABLED + ) { + return; + } + + var version_selector = $("#documenter .docs-version-selector"); + var version_selector_select = $("#documenter .docs-version-selector select"); + + version_selector_select.change(function (x) { + target_href = version_selector_select + .children("option:selected") + .get(0).value; + window.location.href = target_href; + }); + + // add the current version to the selector based on siteinfo.js, but only if the selector is empty + if ( + typeof DOCUMENTER_CURRENT_VERSION !== "undefined" && + $("#version-selector > option").length == 0 + ) { + var option = $( + "" + ); + version_selector_select.append(option); + } + + if (typeof DOC_VERSIONS !== "undefined") { + var existing_versions = version_selector_select.children("option"); + var existing_versions_texts = existing_versions.map(function (i, x) { + return x.text; + }); + DOC_VERSIONS.forEach(function (each) { + var version_url = documenterBaseURL + "/../" + each + "/"; + var existing_id = $.inArray(each, existing_versions_texts); + // if not already in the version selector, add it as a new option, + // otherwise update the old option with the URL and enable it + if (existing_id == -1) { + var option = $( + "" + ); + version_selector_select.append(option); + } else { + var option = existing_versions[existing_id]; + option.value = version_url; + option.disabled = false; + } + }); + } + + // only show the version selector if the selector has been populated + if (version_selector_select.children("option").length > 0) { + version_selector.toggleClass("visible"); + } +}); + +}) diff --git a/DifferentiationInterfaceTest/previews/PR233/assets/themes/documenter-dark.css b/DifferentiationInterfaceTest/previews/PR233/assets/themes/documenter-dark.css new file mode 100644 index 000000000..53889fb99 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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 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.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 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+ Maintainer: @highlightjs/core-team + Website: https://highlightjs.org/ + License: see project LICENSE + Touched: 2021 +*/pre code.hljs{display:block;overflow-x:auto;padding:1em}code.hljs{padding:3px 5px}.hljs{background:#F3F3F3;color:#444}.hljs-comment{color:#697070}.hljs-tag,.hljs-punctuation{color:#444a}.hljs-tag .hljs-name,.hljs-tag .hljs-attr{color:#444}.hljs-keyword,.hljs-attribute,.hljs-selector-tag,.hljs-meta .hljs-keyword,.hljs-doctag,.hljs-name{font-weight:bold}.hljs-type,.hljs-string,.hljs-number,.hljs-selector-id,.hljs-selector-class,.hljs-quote,.hljs-template-tag,.hljs-deletion{color:#880000}.hljs-title,.hljs-section{color:#880000;font-weight:bold}.hljs-regexp,.hljs-symbol,.hljs-variable,.hljs-template-variable,.hljs-link,.hljs-selector-attr,.hljs-operator,.hljs-selector-pseudo{color:#ab5656}.hljs-literal{color:#695}.hljs-built_in,.hljs-bullet,.hljs-code,.hljs-addition{color:#397300}.hljs-meta{color:#1f7199}.hljs-meta .hljs-string{color:#38a}.hljs-emphasis{font-style:italic}.hljs-strong{font-weight:bold}.gap-4{gap:1rem} diff --git a/DifferentiationInterfaceTest/previews/PR233/assets/themeswap.js b/DifferentiationInterfaceTest/previews/PR233/assets/themeswap.js new file mode 100644 index 000000000..9f5eebe6a --- /dev/null +++ b/DifferentiationInterfaceTest/previews/PR233/assets/themeswap.js @@ -0,0 +1,84 @@ +// Small function to quickly swap out themes. Gets put into the tag.. +function set_theme_from_local_storage() { + // Initialize the theme to null, which means default + var theme = null; + // If the browser supports the localstorage and is not disabled then try to get the + // documenter theme + if (window.localStorage != null) { + // Get the user-picked theme from localStorage. May be `null`, which means the default + // theme. + theme = window.localStorage.getItem("documenter-theme"); + } + // Check if the users preference is for dark color scheme + var darkPreference = + window.matchMedia("(prefers-color-scheme: dark)").matches === true; + // Initialize a few variables for the loop: + // + // - active: will contain the index of the theme that should be active. Note that there + // is no guarantee that localStorage contains sane values. If `active` stays `null` + // we either could not find the theme or it is the default (primary) theme anyway. + // Either way, we then need to stick to the primary theme. + // + // - disabled: style sheets that should be disabled (i.e. all the theme style sheets + // that are not the currently active theme) + var active = null; + var disabled = []; + var primaryLightTheme = null; + var primaryDarkTheme = null; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. 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The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // we'll disable all the stylesheets, except for the active one + ss.disabled = !(themename == activeTheme); + } +} +set_theme_from_local_storage(); diff --git a/DifferentiationInterfaceTest/previews/PR233/assets/warner.js b/DifferentiationInterfaceTest/previews/PR233/assets/warner.js new file mode 100644 index 000000000..3f6f5d008 --- /dev/null +++ b/DifferentiationInterfaceTest/previews/PR233/assets/warner.js @@ -0,0 +1,52 @@ +function maybeAddWarning() { + // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE + // in siteinfo.js. + // If either of these are undefined something went horribly wrong, so we abort. + if ( + window.DOCUMENTER_NEWEST === undefined || + window.DOCUMENTER_CURRENT_VERSION === undefined || + window.DOCUMENTER_STABLE === undefined + ) { + return; + } + + // Current version is not a version number, so we can't tell if it's the newest version. Abort. + if (!/v(\d+\.)*\d+/.test(window.DOCUMENTER_CURRENT_VERSION)) { + return; + } + + // Current version is newest version, so no need to add a warning. + if (window.DOCUMENTER_NEWEST === window.DOCUMENTER_CURRENT_VERSION) { + return; + } + + // Add a noindex meta tag (unless one exists) so that search engines don't index this version of the docs. + if (document.body.querySelector('meta[name="robots"]') === null) { + const meta = document.createElement("meta"); + meta.name = "robots"; + meta.content = "noindex"; + + document.getElementsByTagName("head")[0].appendChild(meta); + } + + const div = document.createElement("div"); + div.classList.add("outdated-warning-overlay"); + const closer = document.createElement("button"); + closer.classList.add("outdated-warning-closer", "delete"); + closer.addEventListener("click", function () { + document.body.removeChild(div); + }); + const href = window.documenterBaseURL + "/../" + window.DOCUMENTER_STABLE; + div.innerHTML = + 'This documentation is not for the latest stable release, but for either the development version or an older release.
Click here to go to the documentation for the latest stable release.'; + div.appendChild(closer); + document.body.appendChild(div); +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", maybeAddWarning); +} else { + maybeAddWarning(); +} diff --git a/DifferentiationInterfaceTest/previews/PR233/index.html b/DifferentiationInterfaceTest/previews/PR233/index.html new file mode 100644 index 000000000..acb488e55 --- /dev/null +++ b/DifferentiationInterfaceTest/previews/PR233/index.html @@ -0,0 +1,14 @@ + +Home · DifferentiationInterfaceTest.jl
GitHub

DifferentiationInterfaceTest

Build Status Coverage Code Style: Blue

PackageDocs
DifferentiationInterfaceStable Dev
DifferentiationInterfaceTestStable Dev

Testing and benchmarking utilities for automatic differentiation (AD) in Julia, based on DifferentiationInterface.

Goal

Make it easy to know, for a given function:

  • which AD backends can differentiate it
  • how fast they can do it

Features

  • Predefined or custom test scenarios
  • Correctness tests
  • Type stability tests
  • Count calls to the function
  • Benchmark runtime and allocations
  • Weird array types (GPU, static, components)

Installation

To install the stable version of the package, run the following code in a Julia REPL:

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

To install the development version, run this instead:

julia> using Pkg
+
+julia> Pkg.add(
+        url="https://github.com/gdalle/DifferentiationInterface.jl",
+        subdir="DifferentiationInterface"
+    )
+    
+julia> Pkg.add(
+        url="https://github.com/gdalle/DifferentiationInterface.jl",
+        subdir="DifferentiationInterfaceTest"
+    )
diff --git a/DifferentiationInterfaceTest/previews/PR233/objects.inv b/DifferentiationInterfaceTest/previews/PR233/objects.inv new file mode 100644 index 000000000..6bb5d56a2 Binary files /dev/null and b/DifferentiationInterfaceTest/previews/PR233/objects.inv differ diff --git a/DifferentiationInterfaceTest/previews/PR233/search_index.js b/DifferentiationInterfaceTest/previews/PR233/search_index.js new file mode 100644 index 000000000..5c1162c71 --- /dev/null +++ b/DifferentiationInterfaceTest/previews/PR233/search_index.js @@ -0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"api/","page":"API reference","title":"API reference","text":"CurrentModule = Main\nCollapsedDocStrings = true","category":"page"},{"location":"api/#API-reference","page":"API reference","title":"API reference","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"DifferentiationInterfaceTest","category":"page"},{"location":"api/#DifferentiationInterfaceTest","page":"API reference","title":"DifferentiationInterfaceTest","text":"DifferentiationInterfaceTest\n\nTesting and benchmarking utilities for automatic differentiation in Julia.\n\nExports\n\nAbstractScenario\nDerivativeScenario\nGradientScenario\nHVPScenario\nHessianScenario\nJacobianScenario\nPullbackScenario\nPushforwardScenario\nSecondDerivativeScenario\nbenchmark_differentiation\ncomponent_scenarios\ndefault_scenarios\ngpu_scenarios\nsparse_scenarios\nstatic_scenarios\ntest_differentiation\n\n\n\n\n\n","category":"module"},{"location":"api/#Entry-points","page":"API reference","title":"Entry points","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"test_differentiation\nbenchmark_differentiation","category":"page"},{"location":"api/#DifferentiationInterfaceTest.test_differentiation","page":"API reference","title":"DifferentiationInterfaceTest.test_differentiation","text":"test_differentiation(\n backends::Vector{<:ADTypes.AbstractADType};\n ...\n)\ntest_differentiation(\n backends::Vector{<:ADTypes.AbstractADType},\n scenarios::Vector{<:AbstractScenario};\n correctness,\n type_stability,\n call_count,\n sparsity,\n ref_backend,\n detailed,\n input_type,\n output_type,\n first_order,\n second_order,\n onearg,\n twoarg,\n inplace,\n outofplace,\n excluded,\n logging,\n isapprox,\n atol,\n rtol\n)\n\n\nCross-test a list of backends on a list of scenarios, running a variety of different tests.\n\nDefault arguments\n\nscenarios::Vector{<:AbstractScenario}: the output of default_scenarios()\n\nKeyword arguments\n\nTesting:\n\ncorrectness=true: whether to compare the differentiation results with the theoretical values specified in each scenario\ntype_stability=false: whether to check type stability with JET.jl (thanks to @test_opt)\nsparsity: whether to check sparsity of the jacobian / hessian\nref_backend: if not nothing, an ADTypes.AbstractADType object to use instead of the scenario-specific reference to provide true values\ndetailed=false: whether to print a detailed or condensed test log\n\nFiltering:\n\ninput_type=Any, output_type=Any: restrict scenario inputs / outputs to subtypes of this\nfirst_order=true, second_order=true: include first order / second order operators\nonearg=true, twoarg=true: include one-argument / two-argument functions\ninplace=true, outofplace=true: include in-place / out-of-place operators\n\nOptions:\n\nlogging=false: whether to log progress\nisapprox=isapprox: function used to compare objects, with the standard signature isapprox(x, y; atol, rtol)\natol=0: absolute precision for correctness testing (when comparing to the reference outputs)\nrtol=1e-3: relative precision for correctness testing (when comparing to the reference outputs)\n\n\n\n\n\ntest_differentiation(\n backend::ADTypes.AbstractADType,\n args...;\n kwargs...\n)\n\n\nShortcut for a single backend.\n\n\n\n\n\n","category":"function"},{"location":"api/#DifferentiationInterfaceTest.benchmark_differentiation","page":"API reference","title":"DifferentiationInterfaceTest.benchmark_differentiation","text":"benchmark_differentiation(\n backends::Vector{<:ADTypes.AbstractADType};\n ...\n) -> Vector{DifferentiationInterfaceTest.BenchmarkDataRow}\nbenchmark_differentiation(\n backends::Vector{<:ADTypes.AbstractADType},\n scenarios::Vector{<:AbstractScenario};\n input_type,\n output_type,\n first_order,\n second_order,\n onearg,\n twoarg,\n inplace,\n outofplace,\n excluded,\n logging\n) -> Vector{DifferentiationInterfaceTest.BenchmarkDataRow}\n\n\nBenchmark a list of backends for a list of operators on a list of scenarios.\n\nKeyword arguments\n\nfiltering: same as test_differentiation for the filtering part.\nlogging=false: whether to log progress\n\n\n\n\n\n","category":"function"},{"location":"api/#Pre-made-scenario-lists","page":"API reference","title":"Pre-made scenario lists","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"default_scenarios\nsparse_scenarios\ncomponent_scenarios\ngpu_scenarios\nstatic_scenarios","category":"page"},{"location":"api/#DifferentiationInterfaceTest.default_scenarios","page":"API reference","title":"DifferentiationInterfaceTest.default_scenarios","text":"default_scenarios()\n\nCreate a vector of AbstractScenarios with standard array types.\n\n\n\n\n\n","category":"function"},{"location":"api/#DifferentiationInterfaceTest.sparse_scenarios","page":"API reference","title":"DifferentiationInterfaceTest.sparse_scenarios","text":"sparse_scenarios()\n\nCreate a vector of AbstractScenarios with sparse array types, focused on sparse Jacobians and Hessians.\n\n\n\n\n\n","category":"function"},{"location":"api/#DifferentiationInterfaceTest.component_scenarios","page":"API reference","title":"DifferentiationInterfaceTest.component_scenarios","text":"component_scenarios()\n\nCreate a vector of AbstractScenarios with component array types from ComponentArrays.jl.\n\n\n\n\n\n","category":"function"},{"location":"api/#DifferentiationInterfaceTest.gpu_scenarios","page":"API reference","title":"DifferentiationInterfaceTest.gpu_scenarios","text":"gpu_scenarios()\n\nCreate a vector of AbstractScenarios with GPU array types from JLArrays.jl.\n\n\n\n\n\n","category":"function"},{"location":"api/#DifferentiationInterfaceTest.static_scenarios","page":"API reference","title":"DifferentiationInterfaceTest.static_scenarios","text":"static_scenarios()\n\nCreate a vector of AbstractScenarios with static array types from StaticArrays.jl.\n\n\n\n\n\n","category":"function"},{"location":"api/#Scenario-types","page":"API reference","title":"Scenario types","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"AbstractScenario\nPushforwardScenario\nPullbackScenario\nDerivativeScenario\nGradientScenario\nJacobianScenario\nSecondDerivativeScenario\nHVPScenario\nHessianScenario","category":"page"},{"location":"api/#DifferentiationInterfaceTest.AbstractScenario","page":"API reference","title":"DifferentiationInterfaceTest.AbstractScenario","text":"AbstractScenario\n\nStore a testing scenario composed of a function and its input + output.\n\nThis abstract type should never be used directly: construct one of the subtypes corresponding to the operator you want to test.\n\nSubtypes\n\nPushforwardScenario\nPullbackScenario\nDerivativeScenario\nGradientScenario\nJacobianScenario\nSecondDerivativeScenario\nHVPScenario\nHessianScenario\n\nFields\n\nAll subtypes have the following fields:\n\nf: function to apply\nx: primal input\ny: primal output\nref: reference to compare against\n\nIn addition, some subtypes contain an additional seed (dx or dy).\n\nConstructor\n\nIf y is provided, f is interpreted as a 2-argument function f!(y, x) = nothing. 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GitHub

Tutorial

We present a typical workflow with DifferentiationInterfaceTest.jl, building on the DifferentiationInterface.jl tutorial (which we encourage you to read first).

julia> using DifferentiationInterface, DifferentiationInterfaceTest
julia> import ForwardDiff, Enzyme
julia> import DataFrames, Markdown, PrettyTables, Printf

Introduction

The AD backends we want to compare are ForwardDiff.jl and Enzyme.jl.

julia> backends = [AutoForwardDiff(), AutoEnzyme(; mode=Enzyme.Reverse)]2-element Vector{ADTypes.AbstractADType}:
+ AutoForwardDiff{nothing, Nothing}(nothing)
+ AutoEnzyme{EnzymeCore.ReverseMode{false, EnzymeCore.FFIABI, false}}(EnzymeCore.ReverseMode{false, EnzymeCore.FFIABI, false}())

To do that, we are going to take gradients of a simple function:

julia> f(x::AbstractArray) = sum(sin, x)f (generic function with 1 method)

Of course we know the true gradient mapping:

julia> ∇f(x::AbstractArray) = cos.(x)∇f (generic function with 1 method)

DifferentiationInterfaceTest.jl relies with so-called "scenarios", in which you encapsulate the information needed for your test:

  • the function f
  • the input x (and output y for mutating functions)
  • optionally a reference ref to check against

There is one scenario per operator, and so here we will use GradientScenario:

julia> scenarios = [
+           GradientScenario(f; x=rand(Float32, 3), ref=∇f, place=:inplace),
+           GradientScenario(f; x=rand(Float64, 3, 2), ref=∇f, place=:inplace)
+       ];

Testing

The main entry point for testing is the function test_differentiation. It has many options, but the main ingredients are the following:

julia> test_differentiation(
+           backends,  # the backends you want to compare
+           scenarios,  # the scenarios you defined,
+           correctness=true,  # compares values against the reference
+           type_stability=false,  # checks type stability with JET.jl
+           detailed=true,  # prints a detailed test set
+       )Test Summary:                                                    | Pass  Total   Time
+Testing correctness                                              |   32     32  36.8s
+  ForwardDiff (forward)                                          |   16     16   3.7s
+    GradientScenario                                             |   16     16   3.7s
+      GradientScenario{1,inplace} f : Vector{Float32} -> Float32 |    8      8   1.9s
+      GradientScenario{1,inplace} f : Matrix{Float64} -> Float64 |    8      8   1.8s
+  Enzyme (reverse)                                               |   16     16  33.1s
+    GradientScenario                                             |   16     16  33.1s
+      GradientScenario{1,inplace} f : Vector{Float32} -> Float32 |    8      8  31.6s
+      GradientScenario{1,inplace} f : Matrix{Float64} -> Float64 |    8      8   1.5s

If you are too lazy to manually specify the reference, you can also provide an AD backend as the ref_backend keyword argument, which will serve as the ground truth for comparison.

Benchmarking

Once you are confident that your backends give the correct answers, you probably want to compare their performance. This is made easy by the benchmark_differentiation function, whose syntax should feel familiar:

julia> benchmark_result = benchmark_differentiation(backends, scenarios);

The resulting object is a Vector of structs, which can easily be converted into a DataFrame from DataFrames.jl:

julia> df = DataFrames.DataFrame(benchmark_result)12×19 DataFrame
+ Row │ backend                mode           scenario          operator        ⋯
+     │ String                 Abstract…      Symbol            Symbol          ⋯
+─────┼──────────────────────────────────────────────────────────────────────────
+   1 │ ForwardDiff (forward)  ForwardMode()  GradientScenario  prepare_gradien ⋯
+   2 │ ForwardDiff (forward)  ForwardMode()  GradientScenario  value_and_gradi
+   3 │ ForwardDiff (forward)  ForwardMode()  GradientScenario  gradient!
+   4 │ ForwardDiff (forward)  ForwardMode()  GradientScenario  prepare_gradien
+   5 │ ForwardDiff (forward)  ForwardMode()  GradientScenario  value_and_gradi ⋯
+   6 │ ForwardDiff (forward)  ForwardMode()  GradientScenario  gradient!
+   7 │ Enzyme (reverse)       ReverseMode()  GradientScenario  prepare_gradien
+   8 │ Enzyme (reverse)       ReverseMode()  GradientScenario  value_and_gradi
+   9 │ Enzyme (reverse)       ReverseMode()  GradientScenario  gradient!       ⋯
+  10 │ Enzyme (reverse)       ReverseMode()  GradientScenario  prepare_gradien
+  11 │ Enzyme (reverse)       ReverseMode()  GradientScenario  value_and_gradi
+  12 │ Enzyme (reverse)       ReverseMode()  GradientScenario  gradient!
+                                                              16 columns omitted

Here's what the resulting DataFrame looks like with all its columns. Note that we only compare (possibly) in-place operators, because they are always more efficient.

function formatter(v, i, j)
+    if j in (15, 16)  # time, bytes
+        return Printf.@sprintf("%.1e", v)
+    elseif j == 17  # allocs
+        return Printf.@sprintf("%.1f", v)
+    else
+        return v
+    end
+end
+
+table = PrettyTables.pretty_table(
+    String,
+    df;
+    backend=Val(:markdown),
+    header=names(df),
+    formatters=formatter
+)
+
+Markdown.parse(table)
backendmodescenariooperatorargumentsplacefuncinput_typeoutput_typeinput_sizeoutput_sizecallssamplesevalstimebytesallocscompile_fractiongc_fraction
ForwardDiff (forward)ForwardMode()GradientScenarioprepare_gradient1inplacefVector{Float32}Float32(3,)()0116.8e-065.3e+0211.00.00.0
ForwardDiff (forward)ForwardMode()GradientScenariovalue_and_gradient!1inplacefVector{Float32}Float32(3,)()13455516.9e-083.2e+011.00.00.0
ForwardDiff (forward)ForwardMode()GradientScenariogradient!1inplacefVector{Float32}Float32(3,)()12973816.0e-080.0e+000.00.00.0
ForwardDiff (forward)ForwardMode()GradientScenarioprepare_gradient1inplacefMatrix{Float64}Float64(3, 2)()0119.5e-061.8e+0311.00.00.0
ForwardDiff (forward)ForwardMode()GradientScenariovalue_and_gradient!1inplacefMatrix{Float64}Float64(3, 2)()13304212.0e-071.9e+025.00.00.0
ForwardDiff (forward)ForwardMode()GradientScenariogradient!1inplacefMatrix{Float64}Float64(3, 2)()13087412.0e-071.6e+024.00.00.0
Enzyme (reverse)ReverseMode()GradientScenarioprepare_gradient1inplacefVector{Float32}Float32(3,)()0111.5e-070.0e+000.00.00.0
Enzyme (reverse)ReverseMode()GradientScenariovalue_and_gradient!1inplacefVector{Float32}Float32(3,)()11272314.9e-062.0e+0345.00.00145180.0
Enzyme (reverse)ReverseMode()GradientScenariogradient!1inplacefVector{Float32}Float32(3,)()11610513.9e-061.6e+0328.03.51504e-50.0
Enzyme (reverse)ReverseMode()GradientScenarioprepare_gradient1inplacefMatrix{Float64}Float64(3, 2)()0112.2e-070.0e+000.00.00.0
Enzyme (reverse)ReverseMode()GradientScenariovalue_and_gradient!1inplacefMatrix{Float64}Float64(3, 2)()11223415.4e-062.0e+0345.00.001445560.0
Enzyme (reverse)ReverseMode()GradientScenariogradient!1inplacefMatrix{Float64}Float64(3, 2)()11516614.3e-061.6e+0328.03.05346e-50.0
+