diff --git a/.gitignore b/.gitignore index a65b14a..3c49c90 100644 --- a/.gitignore +++ b/.gitignore @@ -6,3 +6,5 @@ examples/.ipynb_checkpoints *.svg *.png *.dot +*.mat +.DS_Store diff --git a/Project.toml b/Project.toml index dfe68d9..d7098dc 100644 --- a/Project.toml +++ b/Project.toml @@ -8,12 +8,15 @@ CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba" ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4" Combinatorics = "861a8166-3701-5b0c-9a16-15d98fcdc6aa" DataStructures = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8" +Documenter = "e30172f5-a6a5-5a46-863b-614d45cd2de4" FFTW = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341" +Flux = "587475ba-b771-5e3f-ad9e-33799f191a9c" GraphViz = "f526b714-d49f-11e8-06ff-31ed36ee7ee0" JSON = "682c06a0-de6a-54ab-a142-c8b1cf79cde6" LRUCache = "8ac3fa9e-de4c-5943-b1dc-09c6b5f20637" LaTeXStrings = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f" MPI = "da04e1cc-30fd-572f-bb4f-1f8673147195" Match = "7eb4fadd-790c-5f42-8a69-bfa0b872bfbf" +OMEinsum = "ebe7aa44-baf0-506c-a96f-8464559b3922" Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" UUIDs = "cf7118a7-6976-5b1a-9a39-7adc72f591a4" diff --git a/docs/build/assets/documenter.js b/docs/build/assets/documenter.js new file mode 100644 index 0000000..6adfbbb --- /dev/null +++ b/docs/build/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 = $(""); + version_selector_select.append(option); + } else { + var option = existing_versions[existing_id]; + option.value = version_url; + option.disabled = false; + } + }); + } + + // only show the version selector if the selector has been populated + if (version_selector_select.children("option").length > 0) { + version_selector.toggleClass("visible"); + } +}) + +}) diff --git a/docs/build/assets/search.js b/docs/build/assets/search.js new file mode 100644 index 0000000..c133f74 --- /dev/null +++ b/docs/build/assets/search.js @@ -0,0 +1,267 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min', + 'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min', + } +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'lunr', 'lodash'], function($, 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/docs/build/assets/themes/documenter-dark.css b/docs/build/assets/themes/documenter-dark.css new file mode 100644 index 0000000..c94a294 --- /dev/null +++ b/docs/build/assets/themes/documenter-dark.css @@ -0,0 +1,7 @@ +@keyframes spinAround{from{transform:rotate(0deg)}to{transform:rotate(359deg)}}html.theme--documenter-dark .tabs,html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link,html.theme--documenter-dark .pagination-ellipsis,html.theme--documenter-dark .breadcrumb,html.theme--documenter-dark .file,html.theme--documenter-dark .button,.is-unselectable,html.theme--documenter-dark .modal-close,html.theme--documenter-dark .delete{-webkit-touch-callout:none;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none}html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after,html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after{border:3px solid rgba(0,0,0,0);border-radius:2px;border-right:0;border-top:0;content:" 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kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content 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.button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--documenter-dark .content 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    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/docs/build/examples.html b/docs/build/examples.html new file mode 100644 index 0000000..c025083 --- /dev/null +++ b/docs/build/examples.html @@ -0,0 +1,31 @@ + +Examples · ParametricOperators.jl
    Edit on GitHub

    Serial Examples

    Parametric Linear Operator:

    using ParametricOperators
+
+A = ParMatrix(Float64, 4, 4)
+
+x = rand(4)
+θ = init(A)
+
+y = A(θ) * x
+x = A'(θ) * y

    Distributed Examples

    Parametric Linear Operator

    using ParametricOperators
+using MPI
+
+MPI.Init()
+
+comm = MPI.COMM_WORLD
+rank = MPI.Comm_rank(comm)
+root = 0
+
+x = nothing
+if rank == root
+    x = rand(4)
+end
+x = MPI.bcast(x, root, comm)
+
+A = ParMatrix(Float64, 4, 4)
+A = distribute(A, [1, 2])
+
+θ = init(A)
+y = A(θ) * x
+
+MPI.Finalize()

    Running on 2 workers

    mpiexecjl --project=./path/to/your/project -n 2 julia test_file.jl
    diff --git a/docs/build/index.html b/docs/build/index.html new file mode 100644 index 0000000..9e2f66c --- /dev/null +++ b/docs/build/index.html @@ -0,0 +1,3 @@ + +Home · ParametricOperators.jl
    Edit on GitHub

    ParametricOperators.jl

    Scalable and distributed matrix-free abstractions for machine learning and scientific computing

    Installation

    Install your package with the following Julia command:

    using Pkg
+Pkg.add("ParametricOperators")
    diff --git a/docs/build/search.html b/docs/build/search.html new file mode 100644 index 0000000..5213582 --- /dev/null +++ b/docs/build/search.html @@ -0,0 +1,2 @@ + +Search · ParametricOperators.jl

    Loading search...

      diff --git a/docs/build/search_index.js b/docs/build/search_index.js new file mode 100644 index 0000000..1eefde4 --- /dev/null +++ b/docs/build/search_index.js @@ -0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"examples.html#Serial-Examples","page":"Examples","title":"Serial Examples","text":"","category":"section"},{"location":"examples.html#Parametric-Linear-Operator:","page":"Examples","title":"Parametric Linear Operator:","text":"","category":"section"},{"location":"examples.html","page":"Examples","title":"Examples","text":"using ParametricOperators\n\nA = ParMatrix(Float64, 4, 4)\n\nx = rand(4)\nθ = init(A)\n\ny = A(θ) * x\nx = A'(θ) * y","category":"page"},{"location":"examples.html#Distributed-Examples","page":"Examples","title":"Distributed Examples","text":"","category":"section"},{"location":"examples.html#Parametric-Linear-Operator","page":"Examples","title":"Parametric Linear Operator","text":"","category":"section"},{"location":"examples.html","page":"Examples","title":"Examples","text":"using ParametricOperators\nusing MPI\n\nMPI.Init()\n\ncomm = MPI.COMM_WORLD\nrank = MPI.Comm_rank(comm)\nroot = 0\n\nx = nothing\nif rank == root\n x = rand(4)\nend\nx = MPI.bcast(x, root, comm)\n\nA = ParMatrix(Float64, 4, 4)\nA = distribute(A, [1, 2])\n\nθ = init(A)\ny = A(θ) * x\n\nMPI.Finalize()","category":"page"},{"location":"examples.html#Running-on-2-workers","page":"Examples","title":"Running on 2 workers","text":"","category":"section"},{"location":"examples.html","page":"Examples","title":"Examples","text":"mpiexecjl --project=./path/to/your/project -n 2 julia test_file.jl","category":"page"},{"location":"index.html#ParametricOperators.jl","page":"Home","title":"ParametricOperators.jl","text":"","category":"section"},{"location":"index.html","page":"Home","title":"Home","text":"Scalable and distributed matrix-free abstractions for machine learning and scientific computing","category":"page"},{"location":"index.html#Installation","page":"Home","title":"Installation","text":"","category":"section"},{"location":"index.html","page":"Home","title":"Home","text":"Install your package with the following Julia command:","category":"page"},{"location":"index.html","page":"Home","title":"Home","text":"using Pkg\nPkg.add(\"ParametricOperators\")","category":"page"}] +} diff --git a/docs/make.jl b/docs/make.jl new file mode 100644 index 0000000..4d1642c --- /dev/null +++ b/docs/make.jl @@ -0,0 +1,20 @@ +using Pkg +Pkg.activate("../") + +using ParametricOperators +using Documenter + +push!(LOAD_PATH, "../src") +makedocs( + sitename="ParametricOperators.jl", + modules=[ParametricOperators], + pages=[ + "Home" => "index.md", + "Examples" => "examples.md" + ], + format=Documenter.HTML( + prettyurls=get(ENV, "CI", nothing) == "true" + )) +deploydocs(; + repo="github.com/slimgroup/ParametricOperators.jl" +) diff --git a/docs/src/examples.md b/docs/src/examples.md new file mode 100644 index 0000000..fe1a953 --- /dev/null +++ b/docs/src/examples.md @@ -0,0 +1,50 @@ +## Serial Examples + +### Parametric Linear Operator: + +``` +using ParametricOperators + +A = ParMatrix(Float64, 4, 4) + +x = rand(4) +θ = init(A) + +y = A(θ) * x +x = A'(θ) * y +``` + +## Distributed Examples + +### Parametric Linear Operator + +``` +using ParametricOperators +using MPI + +MPI.Init() + +comm = MPI.COMM_WORLD +rank = MPI.Comm_rank(comm) +root = 0 + +x = nothing +if rank == root + x = rand(4) +end +x = MPI.bcast(x, root, comm) + +A = ParMatrix(Float64, 4, 4) +A = distribute(A, [1, 2]) + +θ = init(A) +y = A(θ) * x + +MPI.Finalize() +``` + +#### Running on 2 workers + +``` +mpiexecjl --project=./path/to/your/project -n 2 julia test_file.jl +``` \ No newline at end of file diff --git a/docs/src/index.md b/docs/src/index.md new file mode 100644 index 0000000..399ab2f --- /dev/null +++ b/docs/src/index.md @@ -0,0 +1,12 @@ +# ParametricOperators.jl + +Scalable and distributed matrix-free abstractions for machine learning and scientific computing + +## Installation + +Install your package with the following Julia command: + +```julia +using Pkg +Pkg.add("ParametricOperators") +``` \ No newline at end of file diff --git a/examples/dfno.jl b/examples/dfno.jl new file mode 100644 index 0000000..9b49e6f --- /dev/null +++ b/examples/dfno.jl @@ -0,0 +1,169 @@ +using MPI +using ParametricOperators +using Parameters +using Profile +using MAT +using Shuffle +using Zygote +using Flux +using PyPlot +using DrWatson + +@with_kw struct ModelConfig + nx::Int + ny::Int + nz::Int + nt_in::Int = 1 + nt_out::Int = 1 + nc_in::Int = 1 + nc_out::Int = 1 + nc_lift::Int = 20 + mx::Int + my::Int + mz::Int + mt::Int + n_blocks::Int = 4 + dtype::DataType = Float32 + partition::Vector{Int} +end + +function dfno(config::ModelConfig) + + T = config.dtype + + function lifting(in_shape, lift_dim, out_features) + + layer = ParIdentity(T, 1) + + for dim in eachindex(in_shape) + if dim == lift_dim + layer = layer ⊗ ParMatrix(T, out_features, in_shape[dim]) + else + layer = layer ⊗ ParIdentity(T, in_shape[dim]) + end + end + + return layer + end + + function sconv() + + # Build 4D Fourier transform with real-valued FFT along time + fourier_x = ParDFT(Complex{T}, config.nx) + fourier_y = ParDFT(Complex{T}, config.ny) + fourier_z = ParDFT(Complex{T}, config.nz) + fourier_t = ParDFT(T, config.nt_out) + + # Build restrictions to low-frequency modes + restrict_x = ParRestriction(Complex{T}, Range(fourier_x), [1:config.mx, config.nx-config.mx+1:config.nx]) + restrict_y = ParRestriction(Complex{T}, Range(fourier_y), [1:config.my, config.ny-config.my+1:config.ny]) + restrict_z = ParRestriction(Complex{T}, Range(fourier_z), [1:config.mz]) + restrict_t = ParRestriction(Complex{T}, Range(fourier_t), [1:config.mt]) + + # Setup FFT-restrict pattern with Kroneckers + restrict_dft = (restrict_t * fourier_t) ⊗ + ((restrict_z ⊗ restrict_y ⊗ restrict_x) * (fourier_z ⊗ fourier_y ⊗ fourier_x)) ⊗ + ParIdentity(T, config.nc_lift) + + # Diagonal/mixing of modes on each channel + weight_diag = ParDiagonal(Complex{T}, Range(restrict_dft)) + + weight_mix = ParIdentity(Complex{T}, Range(weight_diag) ÷ config.nc_lift) ⊗ + ParMatrix(Complex{T}, config.nc_lift, config.nc_lift) + + sconv = restrict_dft' * weight_mix * weight_diag * restrict_dft + return sconv + end + + shape = [config.nc_in, config.nx, config.ny, config.nz, config.nt_in] + + # Lift Time and Channel dimension + lt = lifting(shape, 5, config.nt_out) + shape[5] = config.nt_out + + lc = lifting(shape, 1, config.nc_lift) + shape[1] = config.nc_lift + + network = lc * lt + + # Add all sconv blocks + for _ in eachindex(config.n_blocks) + sconv = sconv() + network = sconv * network + end + + # Project channel dimension + pc = lifting(shape, 1, config.nc_out) + shape[1] = config.nc_out + + network = pc * network + + return network +end + +config = ModelConfig(n_blocks=1, nx=64, ny=64, nz=1, nt_in = 10, nt_out=40, nc_lift=10, mx=4, my=4, mz=1, mt=8, partition=[1]) +network = dfno(config) + +θ = init(network) + +data = matread("./examples/ns_V1e-3_N5000_T50.mat")["u"] +data = reshape(data, :, config.nc_in, config.nx, config.ny, config.nz, config.nt_in + config.nt_out) + +n_data = 1 +n_epochs = 1 +batch_size = 1 +step_length = 1e-3 + +for _ in 1:n_epochs + batch_indexes = [] + for start in 1:batch_size:n_data + push!(batch_indexes, start:start+batch_size-1) + end + shuffle!(batch_indexes) + for batch in batch_indexes + x_train = vec(data[batch, :, :, :, :, 1:config.nt_in]) + y_train = vec(data[batch, :, :, :, :, config.nt_in+1:end]) + + grads = gradient(params -> Flux.mse(network(params)*x_train, y_train), θ)[1] + + scale!(step_length, grads) + update!(θ, grads) + end +end + +fig = figure(figsize=(20, 12)) + +for i = 1:5 + + j = i + n_data + + x_sample = vec(data[j, :, :, :, :, 1:config.nt_in]) + y_sample = network(θ)*x_sample + y_sample = reshape(y_sample, 64, 64, 40) + + subplot(4,5,i) + imshow(reshape(data[j, :, :, :, :, 1], 64, 64)) + title("x") + + subplot(4,5,i+5) + imshow(reshape(data[j, :, :, :, :, 50], 64, 64), vmin=0, vmax=1) + title("true y") + + subplot(4,5,i+10) + imshow(reshape(y_sample[:, :, 40], 64, 64), vmin=0, vmax=1) + title("predict y") + + subplot(4,5,i+15) + imshow(5f0 .* reshape(abs.(vec(data[j, :, :, :, :, 50])-vec(y_sample[:, :, 40])), 64, 64), vmin=0, vmax=1) + title("5X abs difference") + +end +tight_layout() + +sim_name = "2D_FNO" +exp_name = "navier_stokes" +save_dict = @strdict exp_name +plot_path = "./plots" # plotsdir(sim_name, savename(save_dict; digits=6)) +fig_name = @strdict n_epochs batch_size # Loss modes width learning_rate epochs s n d nt dt AN ntrain nvalid +safesave(joinpath(plot_path, savename(fig_name; digits=6)*"_2D_dfno.png"), fig); +close(fig) diff --git a/src/ParBroadcasted.jl b/src/ParBroadcasted.jl index 9b4c4a2..bf855a7 100644 --- a/src/ParBroadcasted.jl +++ b/src/ParBroadcasted.jl @@ -4,7 +4,7 @@ struct ParBroadcasted{D,R,L,P,F} <: ParOperator{D,R,L,P,Internal} op::F comm::MPI.Comm root::Int - ParBroadcasted(op, comm, root::Int = 0) = new{DDT(op),RDT(op),linearity(op),parametricity(op),typeof(op)}(op, comm, root) + ParBroadcasted(op, comm::Any = MPI.COMM_WORLD, root::Int = 0) = new{DDT(op),RDT(op),linearity(op),parametricity(op),typeof(op)}(op, comm, root) end bcasted(A::ParOperator{D,R,L,P,External}, comm = MPI.COMM_WORLD, root = 0) where {D,R,L,P} = @@ -26,10 +26,27 @@ rebuild(A::ParBroadcasted, cs) = ParBroadcasted(cs[1], A.comm, A.root) function (A::ParBroadcasted{D,R,L,Parametric,F})(params) where {D,R,L,F} @assert ast_location(A.op) == External θ = MPI.Comm_rank(A.comm) == A.root ? params[A.op] : nothing - local_params = Parameters(A.op => MPI.bcast(θ, A.root, A.comm)) + local_params = Dict(A.op => MPI.bcast(θ, A.root, A.comm)) return ParBroadcasted(A.op(local_params), A.comm, A.root) end (A::ParBroadcasted{D,R,L,<:Applicable,F})(x::X) where {D,R,L,F,X<:AbstractVector{D}} = A.op(x) (A::ParBroadcasted{D,R,L,<:Applicable,F})(x::X) where {D,R,L,F,X<:AbstractMatrix{D}} = A.op(x) -*(x::X, A::ParBroadcasted{D,R,Linear,<:Applicable,F}) where {D,R,F,X<:AbstractMatrix{D}} = x*A.op \ No newline at end of file +*(x::X, A::ParBroadcasted{D,R,Linear,<:Applicable,F}) where {D,R,F,X<:AbstractMatrix{D}} = x*A.op ++(x::X, A::ParBroadcasted{D,R,Linear,<:Applicable,F}) where {D,R,F,X<:AbstractMatrix{D}} = x+A.op + +function ChainRulesCore.rrule(A::ParBroadcasted{D,R,L,Parametric,F}, params) where {D,R,L,F} + op_out = A(params) + function pullback(op) + # θ_global = MPI.Reduce(op.op.params |> cpu, MPI.SUM, A.root, A.comm) + θ_global = MPI.Reduce(op.op.params, MPI.SUM, A.root, A.comm) + + if MPI.Comm_rank(A.comm) == A.root + # return NoTangent(), Dict(A.op=>(θ_global |> gpu)) + return NoTangent(), Dict(A.op=>θ_global) + else + return NoTangent(), NoTangent() + end + end + return op_out, pullback +end diff --git a/src/ParCommon.jl b/src/ParCommon.jl index 869a7b7..2c2ba24 100644 --- a/src/ParCommon.jl +++ b/src/ParCommon.jl @@ -66,6 +66,7 @@ end function rotate_dims_batched(x, rot) n = length(size(x)) perm = [circshift(collect(1:n-1), rot)..., n] + # 0 in size(x) && return permutedims(x |> cpu, perm) |> gpu return permutedims(x, perm) end diff --git a/src/ParCompose.jl b/src/ParCompose.jl index 17aae66..ed3365b 100644 --- a/src/ParCompose.jl +++ b/src/ParCompose.jl @@ -43,7 +43,13 @@ adjoint(A::ParCompose{D,R,Linear,P,F,N}) where {D,R,P,F,N} = ParCompose(reverse( function (A::ParCompose{D,R,L,<:Applicable,F,N})(x::X) where {D,R,L,F,N,X<:AbstractVector{D}} for i in 1:N + # if state == 0 + # println("Pre composition at op ", i, x) + # end x = A.ops[N-i+1](x) + # if state == 0 + # println("Post composition at op ", i, x) + # end end return x end diff --git a/src/ParDFT.jl b/src/ParDFT.jl index 6ca2ee0..aa0b940 100644 --- a/src/ParDFT.jl +++ b/src/ParDFT.jl @@ -1,4 +1,4 @@ -export ParDFT +export ParDFT, ParDFTN """ Fouier transform operator. Dispatchs real-valued fft if applicable. @@ -23,12 +23,12 @@ Range(A::ParDFT) = A.m complexity(A::ParDFT{D,R}) where {D,R} = elementwise_multiplication_cost(R)*A.n*log2(A.n) -(A::ParDFT{D,R})(x::X) where {D<:Complex,R,X<:AbstractMatrix{D}} = convert(Matrix{R}, fft(x, 1) ./ sqrt(A.n)) -(A::ParDFT{D,R})(x::X) where {D<:Real,R,X<:AbstractMatrix{D}} = convert(Matrix{R}, rfft(x, 1) ./ sqrt(A.n)) +(A::ParDFT{D,R})(x::X) where {D<:Complex,R,X<:AbstractMatrix{D}} = 0 in size(x) ? x : fft(x, 1) +(A::ParDFT{D,R})(x::X) where {D<:Real,R,X<:AbstractMatrix{D}} = rfft(x, 1) (A::ParDFT{D,R})(x::X) where {D,R,X<:AbstractVector{D}} = vec(A(reshape(x, length(x), 1))) -(A::ParAdjoint{D,R,NonParametric,ParDFT{D,R}})(x::X) where {D<:Complex,R,X<:AbstractMatrix{R}} = ifft(x, 1).*convert(real(D), sqrt(A.op.n)) -(A::ParAdjoint{D,R,NonParametric,ParDFT{D,R}})(x::X) where {D<:Real,R,X<:AbstractMatrix{R}} = irfft(x, A.op.n, 1).*convert(D, sqrt(A.op.n)) +(A::ParAdjoint{D,R,NonParametric,ParDFT{D,R}})(x::X) where {D<:Complex,R,X<:AbstractMatrix{R}} = 0 in size(x) ? x : ifft(x, 1) +(A::ParAdjoint{D,R,NonParametric,ParDFT{D,R}})(x::X) where {D<:Real,R,X<:AbstractMatrix{R}} = irfft(x, A.op.n, 1) (A::ParAdjoint{D,R,NonParametric,ParDFT{D,R}})(x::X) where {D,R,X<:AbstractVector{R}} = vec(A(reshape(x, length(x), 1))) to_Dict(A::ParDFT{D,R}) where {D,R} = Dict{String, Any}("type" => "ParDFT", "T" => string(D), "n" => A.n, "m" => A.m) @@ -47,3 +47,23 @@ function from_Dict(::Type{ParDFT}, d) end A end + +""" +Fouier transform operator for n dimensional tensor. +""" +struct ParDFTN{N,T} <: ParLinearOperator{T,T,NonParametric,External} + shape::NTuple{N, Int} + n:: Int + ParDFTN(ns...; T = ComplexF32) = new{length(ns),T}(ns, prod(ns)) +end + +Domain(A::ParDFTN) = A.n +Range(A::ParDFTN) = A.n + +(A::ParDFTN{N,T})(x::X) where {N,T<:Complex,X<:AbstractVector{T}} = vec(fft(reshape(x, A.shape))) +(A::ParAdjoint{D,R,NonParametric,ParDFTN{N,T}})(x::X) where {D<:Complex,R,N,T<:Complex,X<:AbstractVector{T}} = vec(ifft(reshape(x, A.op.shape))) + +kron(A::ParDFT{T,T}, B::ParDFT{T,T}) where {T} = ParDFTN(B.n, A.n, T=T) +kron(A::ParDFT{T,T}, B::ParDFTN{N,T}) where {N,T} = ParDFTN(B.shape..., A.n, T=T) +kron(A::ParDFTN{N,T}, B::ParDFT{T,T}) where {N,T} = ParDFTN(B.n, A.shape..., T=T) +kron(A::ParDFTN{N,T}, B::ParDFTN{M,T}) where {M,N,T} = ParDFTN(B.shape..., A.shape..., T=T) diff --git a/src/ParDiagonal.jl b/src/ParDiagonal.jl index 8797204..61ba63d 100644 --- a/src/ParDiagonal.jl +++ b/src/ParDiagonal.jl @@ -5,8 +5,11 @@ Diagonal matrix (elementwise) operator. """ struct ParDiagonal{T} <: ParLinearOperator{T,T,Parametric,External} n::Int - ParDiagonal(T, n) = new{T}(n) - ParDiagonal(n) = new{Float64}(n) + id::Any + ParDiagonal(T::DataType, n::Int) = new{T}(n, uuid4(Random.GLOBAL_RNG)) + ParDiagonal(n::Int) = new{Float64}(n, uuid4(Random.GLOBAL_RNG)) + ParDiagonal(T::DataType, n::Int, id) = new{T}(n, id) + ParDiagonal(n::Int, id) = new{Float64}(n, id) end Domain(A::ParDiagonal) = A.n @@ -15,7 +18,8 @@ Range(A::ParDiagonal) = A.n complexity(A::ParDiagonal{T}) where {T} = elementwise_multiplication_cost(T)*A.n function init!(A::ParDiagonal{T}, d::Parameters) where {T} - d[A] = rand(T, A.n) + d[A] = zeros(T, A.n) + # d[A] = rand(T, A.n) end (A::ParParameterized{T,T,Linear,ParDiagonal{T},V})(x::X) where {T,V,X<:AbstractVector{T}} = A.params.*x @@ -27,7 +31,21 @@ end *(x::X, A::ParParameterized{T,T,Linear,ParAdjoint{T,T,Parametric,ParDiagonal{T}},V}) where {T,V,X<:AbstractVector{T}} = x.*conj(A.params[A.op.op]) *(x::X, A::ParParameterized{T,T,Linear,ParAdjoint{T,T,Parametric,ParDiagonal{T}},V}) where {T,V,X<:AbstractMatrix{T}} = x.*conj(A.params[A.op.op]) -to_Dict(A::ParDiagonal{T}) where {T} = Dict{String, Any}("type" => "ParDiagonal", "T" => string(T), "n" => A.n) +function to_Dict(A::ParDiagonal{T}) where {T} + rv = Dict{String, Any}( + "type" => "ParDiagonal", + "T" => string(T), + "n" => A.n + ) + if typeof(A.id) == String + rv["id"] = A.id + elseif typeof(A.id) == UUID + rv["id"] = "UUID:$(string(A.id))" + else + throw(ParException("I don't know how to encode id of type $(typeof(A.id))")) + end + rv +end function from_Dict(::Type{ParDiagonal}, d) ts = d["T"] @@ -35,5 +53,14 @@ function from_Dict(::Type{ParDiagonal}, d) throw(ParException("unknown data type `$ts`")) end dtype = Data_TYPES[ts] - ParDiagonal(dtype, d["n"]) + mid = d["id"] + if startswith(mid, "UUID:") + mid = UUID(mid[6:end]) + end + ParDiagonal(dtype, d["n"], mid) +end + +function distribute(A::ParDiagonal{T}, comm::MPI.Comm = MPI.COMM_WORLD) where {T} + local_n = local_size(A.n, MPI.Comm_rank(comm), MPI.Comm_size(comm)) + return ParDiagonal(T, local_n) end diff --git a/src/ParIdentity.jl b/src/ParIdentity.jl index e0d3367..d93f99d 100644 --- a/src/ParIdentity.jl +++ b/src/ParIdentity.jl @@ -31,3 +31,5 @@ function from_Dict(::Type{ParIdentity}, d) dtype = Data_TYPES[ts] ParIdentity(dtype, d["n"]) end + +kron(A::ParIdentity{T}, B::ParIdentity{T}) where {T} = ParIdentity(T,B.n*A.n) diff --git a/src/ParKron.jl b/src/ParKron.jl index ed78251..256ebfe 100644 --- a/src/ParKron.jl +++ b/src/ParKron.jl @@ -14,7 +14,21 @@ Kronecker product operator. struct ParKron{D,R,P,F,N} <: ParSeparableOperator{D,R,P,Internal} ops::F order::Vector{Int} + + function ParKron(ops::Vector,order::Vector) + + D = DDT(ops[order[1]]) + R = RDT(ops[order[end]]) + P = foldl(promote_parametricity, map(parametricity, ops)) + + return new{D,R,P,typeof(ops),length(ops)}(ops, order) + end + function ParKron(ops...) + # Brute force application from right to left because sometimes reordering + # causing more repartitions which are much more expensive as of now for desired applications + # rn in the fno code the subtype computed here is always applied first, so no repartition. + # for example: we need to take RFFT before the identity in fno # Collect operators into a vector ops = collect(ops) @@ -63,7 +77,7 @@ struct ParKron{D,R,P,F,N} <: ParSeparableOperator{D,R,P,Internal} return new{D,R,P,typeof(ops),N}(ops, order) end - function ParKron(D,R,P,ops,order) + function ParKron(D::DataType,R::DataType,P,ops,order) return new{D,R,P,typeof(ops),length(ops)}(ops, order) end end @@ -71,7 +85,7 @@ end kron(A::ParLinearOperator, B::ParLinearOperator) = ParKron(A, B) kron(A::ParKron, B::ParLinearOperator) = ParKron(A.ops..., B) kron(A::ParLinearOperator, B::ParKron) = ParKron(A, B.ops...) -kron(A::ParKron, B::ParKron) = ParKron(A.ops..., B.ops...) +⊗(A::ParKron, B::ParKron) = ParKron(A.ops..., B.ops...) ⊗(A::ParLinearOperator, B::ParLinearOperator) = kron(A, B) Domain(A::ParSeparableOperator) = prod(map(Domain, children(A))) @@ -188,31 +202,51 @@ function transforms(A::ParKron) end function (A::ParKron{D,R,<:Applicable,F,N})(x::X) where {D,R,F,N,X<:AbstractMatrix{D}} - - # Reshape to input shape + # comm = MPI.COMM_WORLD + # rank = MPI.Comm_rank(comm) + # rank == 0 && println(x) + # rank == 0 && println("Here") + # Reshape to inpu t shape + # rank == 0 && println("0:", typeof(x)) b = size(x)[2] s = reverse(collect(map(Domain, A.ops))) + # rank == 0 && println("Size: ", s) x = reshape(x, s..., b) + # rank == 0 && println("0.5:", typeof(x)) # Apply operators in order, permuting to enforce leading dim of x to # align with current operator + # rank == 0 && println("Pre Rotation: ", x) x = rotate_dims_batched(x, -(N-A.order[1])) - + # rank == 0 && println("Post rotation: ", x) + # rank == 0 && println("1:", typeof(x)) + # rank == 0 && println("Starting Loop") for i in 1:N o = A.order[i] s = size(x) x = as_matrix(x) + # rank == 0 && println("2:", typeof(x)) Ai = A.ops[o] + # rank == 0 && println(i, " ", x, " ", typeof(Ai), " ", Range(Ai), "x", Domain(Ai)) + # rank == 0 && println("3:", typeof(x), typeof(Ai)) x = Ai*x + # rank == 0 && println(i, " Post operation: ", x) + # rank == 0 && println("4:", typeof(x)) x = reshape(x, Range(Ai), s[2:end]...) + # rank == 0 && println("5:", typeof(x)) if i < N + # rank == 0 && println("rotation around: ", N-o-(N-A.order[i+1])) x = rotate_dims_batched(x, N-o-(N-A.order[i+1])) else - x = rotate_dims_batched(x, o) + # rank == 0 && println("rotation around: ", -o) + x = rotate_dims_batched(x, -o) end + # rank == 0 && println(i, " ", reshape(x, 4, 1)) + # rank == 0 && println("6:", typeof(x)) end nelem = prod(size(x)) + # rank == 0 && println(reshape(x, nelem÷b, b)) return reshape(x, nelem÷b, b) end @@ -236,61 +270,105 @@ function latex_string(A::ParKron{D,R,P,F,N}) where {D,R,P,F,N} return out end +rebuild(A::ParBroadcasted{D,R,L,Parametric,F}, cs) where {D,R,L,F<:ParKron} = rebuild(A.op, collect(map(c -> parametricity(c) == Parametric ? ParBroadcasted(c, A.comm, A.root) : c, children(cs[1])))) + """ -Distributes Kronecker product over the given communicator +Distributes Kronecker product over the given dimensions """ -function distribute(A::ParKron, dims_in, dims_out=dims_in, parent_comm=MPI.COMM_WORLD) - +function distribute(A::ParKron, dims_in::Vector{Int64}, dims_out::Vector{Int64}=dims_in, parent_comm=MPI.COMM_WORLD) comm_in = MPI.Cart_create(parent_comm, dims_in) comm_out = MPI.Cart_create(parent_comm, dims_out) + return distribute(A, comm_in, comm_out, parent_comm) +end + +""" +Distributes Kronecker product over the given communicator +""" +function distribute(A::ParKron, comm_in::MPI.Comm, comm_out::MPI.Comm, parent_comm=MPI.COMM_WORLD) + dims, _, _ = MPI.Cart_get(comm_in) + dims_out, _, _ = MPI.Cart_get(comm_out) + N = length(dims) @assert length(A.ops) == N - size_curr = collect(map(Domain, reverse(A.ops))) + size_curr = collect(map(Domain, reverse(A.ops))) # [30,20] comm_prev = comm_in + dims_prev = dims ops = [] - for i in 1:N + # if MPI.Comm_rank(comm_in) == 0 + # println(size_curr, A.order) + # end - @show size_curr + for i in 1:N # Get operator i - o = A.order[i] - d = N-o+1 - Ai = A.ops[o] + o = A.order[i] # o is the index where the ith operate to execute is stored at + d = N-o+1 # this is just i, not sure why its here ?? (maybe bc parKron rearranger A.order, so we need this) + Ai = A.ops[o] # The i th operator # Compute size of dims for communicator dims_i = copy(dims) dims_i[d] = 1 dims_i[mod1(d+1, N)] *= dims[d] + # if MPI.Comm_rank(comm_in) == 0 # Move the distribution for i th operator to the i+1 th operator + # println(d) + # println(dims_i) + # end comm_i = MPI.Cart_create(parent_comm, dims_i) + rank = MPI.Comm_rank(comm_i) coords_i = MPI.Cart_coords(comm_i) - - # Create repartition operator - pushfirst!(ops, ParRepartition(DDT(Ai), comm_prev, comm_i, tuple(size_curr...))) - + # if MPI.Comm_rank(comm_in) == 1 # Move the distribution for i th operator to the i+1 th operator + # println(coords_i) + # end + + # MPI.Comm_rank(comm_in) == 0 && println("Iteration: ", i, ". d: ", d, " ", dims_i, " ", typeof(Ai)) + + # # Skip this iteration if it does nothing + # (typeof(Ai) <: ParIdentity) && (MPI.Comm_rank(comm_in) == 0) && println("Skipping loop at Iter: ", i) + (typeof(Ai) <: ParIdentity) && continue + + # Create repartition operator if data is distributed differently than expected + !isequal(dims_prev, dims_i) && pushfirst!(ops, ParRepartition(DDT(Ai), comm_prev, comm_i, tuple(size_curr...))) + !isequal(dims_prev, dims_i) && (MPI.Comm_rank(comm_in) == 0) && println("Pushing a repartition inside @ iteration ", i, " ", dims_prev, dims_i) + # if MPI.Comm_rank(comm_in) == 0 + # println(length(ops)) + # end # Create Kronecker w/ distributed identities idents_dim_lower = [] idents_dim_upper = [] for j in d+1:N + # println(size_curr[j], " Lower @ Rank ", MPI.Comm_rank(comm_i)) pushfirst!(idents_dim_lower, ParDistributed(ParIdentity(DDT(Ai), size_curr[j]), coords_i[j], dims_i[j])) + # rank == 0 && println("Lower: ", Range(idents_dim_lower[1]), "x", Domain(idents_dim_lower[1])) end for j in 1:d-1 + # println(size_curr[j], " Upper @ Rank ", MPI.Comm_rank(comm_i)) pushfirst!(idents_dim_upper, ParDistributed(ParIdentity(DDT(Ai), size_curr[j]), coords_i[j], dims_i[j])) + # rank == 0 && println("Upper: ", Range(idents_dim_upper[1]), "x", Domain(idents_dim_upper[1])) end - pushfirst!(ops, ParKron(idents_dim_upper..., ParBroadcasted(Ai, comm_i), idents_dim_lower...)) + # rank == 0 && println("Actual: ", Range(Ai), "x", Domain(Ai)) + + pushfirst!(ops, ParKron(idents_dim_lower..., rebuild(ParBroadcasted(Ai, comm_i), [Ai]), idents_dim_upper...)) size_curr[d] = Range(Ai) comm_prev = comm_i + dims_prev = dims_i end - pushfirst!(ops, ParRepartition(RDT(A.ops[A.order[end]]), comm_prev, comm_out, tuple(size_curr...))) + !isequal(dims_prev, dims_out) && pushfirst!(ops, ParRepartition(RDT(A.ops[A.order[end]]), comm_prev, comm_out, tuple(size_curr...))) + # !isequal(dims_prev, dims_out) && (MPI.Comm_rank(comm_in) == 0) && println("Pushing a repartition outside") + # for op in ops + # if MPI.Comm_rank(comm_prev) == 0 + # println(Range(op), " x ", Domain(op)) + # end + # end return ParCompose(ops...) end diff --git a/src/ParMatrix.jl b/src/ParMatrix.jl index 193475e..820522c 100644 --- a/src/ParMatrix.jl +++ b/src/ParMatrix.jl @@ -18,12 +18,43 @@ Range(A::ParMatrix) = A.m complexity(A::ParMatrix{T}) where {T} = elementwise_multiplication_cost(T)*A.n*A.m +# TODO: Fix init scheme + function init!(A::ParMatrix{T}, d::Parameters) where {T<:Real} - d[A] = rand(T, A.m, A.n)/convert(T, sqrt(A.m*A.n)) + + if A.n == 1 + d[A] = zeros(T, A.m, A.n) + return + end + # G = zeros(A.n, A.m) + # G[1, :] = [1, 2] + # G[2, :] = [3, 4] + # G = Float64.(G) + # d[A] = G + # return + + rng = Random.seed!(1234) + + # glorot_uniform init for dfno, does a lot better for some reason + + scale = sqrt(24.0f0 / sum((A.n, A.m))) + d[A] = (rand(rng, T, (A.n, A.m)) .- 0.5f0) .* scale + + # d[A] = rand(T, A.n, A.m)/convert(T, sqrt(A.m*A.n)) + + d[A] = permutedims(d[A], [2, 1]) end +# TODO: Remove seeds. Currently exists to match implementation to Francis's FNO + function init!(A::ParMatrix{T}, d::Parameters) where {T<:Complex} - d[A] = rand(T, A.m, A.n)/convert(real(T), sqrt(A.m*A.n)) + if A.n == 1 + d[A] = zeros(T, A.m, A.n) + return + end + Random.seed!(1234) + d[A] = rand(T, A.n, A.m)/convert(real(T), sqrt(A.m*A.n)) + d[A] = permutedims(d[A], [2, 1]) end (A::ParParameterized{T,T,Linear,ParMatrix{T},V})(x::X) where {T,V,X<:AbstractVector{T}} = A.params*x @@ -35,6 +66,13 @@ end *(x::X, A::ParParameterized{T,T,Linear,ParAdjoint{T,T,Parametric,ParMatrix{T}},V}) where {T,V,X<:AbstractVector{T}} = x*A.params[A.op.op]' *(x::X, A::ParParameterized{T,T,Linear,ParAdjoint{T,T,Parametric,ParMatrix{T}},V}) where {T,V,X<:AbstractMatrix{T}} = x*A.params[A.op.op]' ++(x::X, A::ParParameterized{T,T,Linear,ParMatrix{T},V}) where {T,V,X<:AbstractVector{T}} = x.+A.params ++(x::X, A::ParParameterized{T,T,Linear,ParMatrix{T},V}) where {T,V,X<:AbstractArray{T}} = x.+A.params ++(x::X, A::ParParameterized{T,T,Linear,ParMatrix{T},V}) where {T,V,X<:AbstractMatrix{T}} = x.+A.params ++(x::X, A::ParParameterized{T,T,Linear,ParAdjoint{T,T,Parametric,ParMatrix{T}},V}) where {T,V,X<:AbstractVector{T}} = x+A.params[A.op.op]' ++(x::X, A::ParParameterized{T,T,Linear,ParAdjoint{T,T,Parametric,ParMatrix{T}},V}) where {T,V,X<:AbstractArray{T}} = x+A.params[A.op.op]' ++(x::X, A::ParParameterized{T,T,Linear,ParAdjoint{T,T,Parametric,ParMatrix{T}},V}) where {T,V,X<:AbstractMatrix{T}} = x+A.params[A.op.op]' + function to_Dict(A::ParMatrix{T}) where {T} rv = Dict{String, Any}( "type" => "ParMatrix", diff --git a/src/ParMatrixN.jl b/src/ParMatrixN.jl new file mode 100644 index 0000000..2daa752 --- /dev/null +++ b/src/ParMatrixN.jl @@ -0,0 +1,170 @@ +export ParMatrixN + +using OMEinsum +using Flux:batched_mul + +""" +Dense N dimensional matrix operator. +""" +struct ParMatrixN{N,M,O,T} <: ParLinearOperator{T,T,Parametric,External} + weight_order::Tuple{Vararg{Int,N}} + weight_shape::Tuple{Vararg{Int,N}} + + input_order::Tuple{Vararg{Int,M}} + input_shape::Tuple{Vararg{Int,M}} + + target_order::Tuple{Vararg{Int,O}} + target_shape::Tuple{Vararg{Int,O}} + id::Any + + ParMatrixN(T::DataType, wo::Tuple{Vararg{Int,N}}, ws::Tuple{Vararg{Int,N}}, io::Tuple{Vararg{Int,M}}, is::Tuple{Vararg{Int,M}}, to::Tuple{Vararg{Int,O}}, ts::Tuple{Vararg{Int,O}}, id) where {N, M, O} = new{N,M,O,T}(wo, ws, io, is, to, ts, id) + ParMatrixN(wo::Tuple{Vararg{Int,N}}, ws::Tuple{Vararg{Int,N}}, io::Tuple{Vararg{Int,M}}, is::Tuple{Vararg{Int,M}}, to::Tuple{Vararg{Int,O}}, ts::Tuple{Vararg{Int,O}}, id) where {N, M, O} = new{N,M,O,Float64}(wo, ws, io, is, to, ts, id) + ParMatrixN(T::DataType, wo::Tuple{Vararg{Int,N}}, ws::Tuple{Vararg{Int,N}}, io::Tuple{Vararg{Int,M}}, is::Tuple{Vararg{Int,M}}, to::Tuple{Vararg{Int,O}}, ts::Tuple{Vararg{Int,O}}) where {N, M, O} = new{N,M,O,T}(wo, ws, io, is, to, ts, uuid4(Random.GLOBAL_RNG)) + ParMatrixN(wo::Tuple{Vararg{Int,N}}, ws::Tuple{Vararg{Int,N}}, io::Tuple{Vararg{Int,M}}, is::Tuple{Vararg{Int,M}}, to::Tuple{Vararg{Int,O}}, ts::Tuple{Vararg{Int,O}}) where {N, M, O} = new{N,M,O,Float64}(wo, ws, io, is, to, ts, uuid4(Random.GLOBAL_RNG)) +end + +Domain(A::ParMatrixN) = prod(A.input_shape) +Range(A::ParMatrixN) = prod(A.target_shape) + +# TODO: Remove seeds + +function init!(A::ParMatrixN{N,M,O,T}, d::Parameters) where {N,M,O,T<:Real} + Random.seed!(1234) + d[A] = rand(T, A.weight_shape...) ./ convert(T, sqrt(prod(A.weight_shape))) +end + +function init!(A::ParMatrixN{N,M,O,T}, d::Parameters) where {N,M,O,T<:Complex} + Random.seed!(1234) + d[A] = rand(T, A.weight_shape...) ./ convert(real(T), sqrt(prod(A.weight_shape))) +end + +# TODO: Add rest of the functionality and abstract usage of OMEinsum to another controller ? + +function (A::ParParameterized{T,T,Linear,ParMatrixN{4,M,O,T},V})(x::X) where {M,O,T,V,X<:AbstractMatrix{T}} + # Hacky batched mul for Just ML4Seismic + b = size(x)[2] + ic = A.op.weight_shape[1] + oc = A.op.weight_shape[2] + nt = A.op.weight_shape[3] + nxy = A.op.weight_shape[4] + + # input from it(xy)b -> bi(txy) + input = reshape(x, (A.op.input_shape..., b)) + input = permutedims(input, [4,1,2,3]) + input = reshape(input, b, ic, :) + + # params from iot(xy) -> io(txy) + params = reshape(A.params, ic, oc, :) + + # output from bo(txy) -> (otxy)b + output = batched_mul(input, params) + output = reshape(output, b, oc, nt, nxy) + output = permutedims(output, [2,3,4,1]) + output = reshape(output, :, b) + + return output +end + +# function (A::ParParameterized{T,T,Linear,ParMatrixN{N,M,O,T},V})(x::X) where {N,M,O,T,V,X<:AbstractMatrix{T}} +# # GPU supported batched mult +# b = size(x)[2] +# nd = maximum([A.op.input_order..., A.op.weight_order...]) + 1 + +# io = (A.op.input_order..., nd) +# wo = A.op.weight_order +# to = (A.op.target_order..., nd) + +# is = (A.op.input_shape..., b) + +# return reshape(einsum(EinCode((wo,io),to),(A.params |> cpu,reshape(x, is) |> cpu)), (:, b)) |> gpu +# end + +# (A::ParParameterized{T,T,Linear,ParMatrixN{N,M,O,T},V})(x::X) where {N,M,O,T,V,X<:AbstractVector{T}} = vec(einsum(EinCode((A.op.weight_order,A.op.input_order),A.op.target_order),(A.params,reshape(x, A.op.input_shape)))) +# (A::ParParameterized{T,T,Linear,ParMatrixN{N,M,O,T},V})(x::X) where {N,M,O,T,V,X<:AbstractVector{T}} = vec(einsum(EinCode((A.op.weight_order,A.op.input_order),A.op.target_order),(A.params |> cpu,reshape(x, A.op.input_shape) |> cpu))) |> gpu +# (A::ParParameterized{T,T,Linear,ParMatrixN{N,M,O,T},V})(x::X) where {N,M,O,T,V,X<:AbstractMatrix{T}} = A.params*x +# (A::ParParameterized{T,T,Linear,ParAdjoint{T,T,Parametric,ParMatrixN{N,M,O,T}},V})(x::X) where {N,M,O,T,V,X<:AbstractVector{T}} = A.params[A.op.op]'*x +# (A::ParParameterized{T,T,Linear,ParAdjoint{T,T,Parametric,ParMatrixN{N,M,O,T}},V})(x::X) where {N,M,O,T,V,X<:AbstractMatrix{T}} = A.params[A.op.op]'*x +# *(x::X, A::ParParameterized{T,T,Linear,ParMatrixN{N,M,O,T},V}) where {N,M,O,T,V,X<:AbstractVector{T}} = x*A.params +# *(x::X, A::ParParameterized{T,T,Linear,ParMatrixN{N,M,O,T},V}) where {N,M,O,T,V,X<:AbstractMatrix{T}} = x*A.params +# *(x::X, A::ParParameterized{T,T,Linear,ParAdjoint{T,T,Parametric,ParMatrixN{N,M,O,T}},V}) where {N,M,O,T,V,X<:AbstractVector{T}} = x*A.params[A.op.op]' +# *(x::X, A::ParParameterized{T,T,Linear,ParAdjoint{T,T,Parametric,ParMatrixN{N,M,O,T}},V}) where {N,M,O,T,V,X<:AbstractMatrix{T}} = x*A.params[A.op.op]' + +function to_Dict(A::ParMatrixN{N,M,O,T}) where {N,M,O,T} + rv = Dict{String, Any}( + "type" => "ParMatrixN", + "T" => string(T), + "ws" => A.weight_shape, + "wo" => A.weight_order, + "is" => A.input_shape, + "io" => A.input_order, + "to" => A.target_order, + "ts" => A.target_shape, + ) + if typeof(A.id) == String + rv["id"] = A.id + elseif typeof(A.id) == UUID + rv["id"] = "UUID:$(string(A.id))" + else + throw(ParException("I don't know how to encode id of type $(typeof(A.id))")) + end + rv +end + +function from_Dict(::Type{ParMatrixN}, d) + ts = d["T"] + if !haskey(Data_TYPES, ts) + throw(ParException("unknown data type `$ts`")) + end + dtype = Data_TYPES[ts] + mid = d["id"] + if startswith(mid, "UUID:") + mid = UUID(mid[6:end]) + end + ParMatrixN(dtype, d["ws"], d["wo"], d["is"], d["io"], d["to"], d["ts"], mid) +end + +function distribute(A::ParMatrixN{N,M,O,T}, dims_in, comm::MPI.Comm = MPI.COMM_WORLD) where {N,M,O,T} + # TODO: Rethink how to repartition this or completely rewrite this operator somehow (basically what distdl is doing?) + @assert length(dims_in) == length(A.input_shape) + + comm_cart = MPI.Cart_create(comm, dims_in) + coords = MPI.Cart_coords(comm_cart) + + # TODO: Also assert comm size and dims_in product + + combined_tuples = tuple(A.input_order..., A.weight_order..., A.target_order...) + count_occurrences = (element_to_count) -> sum(element == element_to_count for element in combined_tuples) + + new_input_shape = collect(A.input_shape) + new_target_shape = collect(A.target_shape) + new_weight_shape = collect(A.weight_shape) + + for (i, dim) in enumerate(A.input_order) + dist_across = dims_in[dim] + if count_occurrences(dim) == 2 + # Do not distribute across the dimenions on which the convolution is performed + @assert dist_across == 1 + end + + # TODO: For now, only support perfect distribution + + @assert A.input_shape[i] % dist_across == 0 + new_input_shape[i] = A.input_shape[i] ÷ dist_across + + for (j, dim_j) in enumerate(A.weight_order) + if dim_j == dim + new_weight_shape[j] = A.weight_shape[j] ÷ dist_across + break + end + end + + for (j, dim_j) in enumerate(A.target_order) + if dim_j == dim + new_target_shape[j] = A.target_shape[j] ÷ dist_across + break + end + end + end + + return ParMatrixN(T, A.weight_order, tuple(new_weight_shape...), A.input_order, tuple(new_input_shape...), A.target_order, tuple(new_target_shape...), "$(A.id):($(join(coords, ',')))") +end diff --git a/src/ParOperator.jl b/src/ParOperator.jl index 617b7fc..bcb238f 100644 --- a/src/ParOperator.jl +++ b/src/ParOperator.jl @@ -132,7 +132,7 @@ const Parameters = Dict{<:ParOperator,Any} Move objects to cpu. """ cpu(x::CuArray{<:Number}) = Array(x) -cpu(x::Vector{CuArray}) = [cpu(y) fpr y in x] +cpu(x::Vector{CuArray}) = [cpu(y) for y in x] cpu(x::AbstractArray) = x cpu(x::Parameters) = Dict(k => cpu(v) for (k, v) in pairs(x)) @@ -141,7 +141,7 @@ if CUDA.functional() Move objects to gpu. """ gpu(x::AbstractArray{<:Number}) = CuArray(x) - gpu(x::Vector{<:AbstractArray}) = [gpu(y) fpr y in x] + gpu(x::Vector{<:AbstractArray}) = [gpu(y) for y in x] gpu(x::CuArray) = x gpu(x::Parameters) = Dict(k => gpu(v) for (k, v) in pairs(x)) end @@ -202,8 +202,20 @@ end """ Parameterize the given operator """ -(A::ParOperator{D,R,L,Parametric,Internal})(params) where {D,R,L} = - rebuild(A, collect(map(c -> parametricity(c) == Parametric ? c(params) : c, children(A)))) +function (A::ParOperator{D,R,L,Parametric,Internal})(params) where {D,R,L} + # println(length(children(A)), " ITEMS TO PARAMETRIZE AND REBUILD OF: ", typeof(A)) + # for c in children(A) + # println("TYPE OF INPUT CHILD: ", typeof(c)) + # end + # nc = collect(map(c -> parametricity(c) == Parametric ? c(params) : c, children(A))) + # println(length(nc), " ITEMS HAVE BEEN PARAMETRIZED AND REBUILDED", ) + # for c in nc + # println("TYPE OF A CHILD: ", typeof(c)) + # end + # return rebuild(A, nc) + return rebuild(A, collect(map(c -> parametricity(c) == Parametric ? c(params) : c, children(A)))) +end + """ Apply the given operator on a vector. diff --git a/src/ParReduce.jl b/src/ParReduce.jl new file mode 100644 index 0000000..bc7858a --- /dev/null +++ b/src/ParReduce.jl @@ -0,0 +1,34 @@ +export ParReduce + +""" +Reduction Operator. Reduce across the given communicator +""" +struct ParReduce{T} <: ParOperator{T,T,Linear,NonParametric,External} + comm::MPI.Comm + + ParReduce() = new{Float64}(MPI.COMM_WORLD) + ParReduce(T::DataType) = new{T}(MPI.COMM_WORLD) + ParReduce(T::DataType, comm::MPI.Comm) = new{T}(comm) + ParReduce(comm::MPI.Comm) = new{Float64}(comm) +end + +(A::ParReduce{T})(x::X) where {T,X<:AbstractVector{T}} = MPI.Allreduce(x, MPI.SUM, A.comm) +(A::ParReduce{T})(x::X) where {T,X<:AbstractArray{T}} = MPI.Allreduce(x, MPI.SUM, A.comm) + +function ChainRulesCore.rrule(A::ParReduce{T}, x::X) where {T,X<:AbstractVector{T}} + op_out = A(x) + function pullback(op) + # println("Using Reduce on Vector ", size(op), " ", typeof(op), " ", eltype(op)) + return NoTangent(), op # TODO: Fix this + end + return op_out, pullback +end + +function ChainRulesCore.rrule(A::ParReduce{T}, x::X) where {T,X<:AbstractArray{T}} + op_out = A(x) + function pullback(op) + # return NoTangent(), A(op |> cpu) |> gpu + return NoTangent(), A(op) + end + return op_out, pullback +end diff --git a/src/ParRepartition.jl b/src/ParRepartition.jl index 5fe9477..f0f07b9 100644 --- a/src/ParRepartition.jl +++ b/src/ParRepartition.jl @@ -7,8 +7,8 @@ mutable struct ParRepartition{T,N} <: ParLinearOperator{T,T,NonParametric,Extern global_size::NTuple{N, Integer} local_size_in::NTuple{N, Integer} local_size_out::NTuple{N, Integer} - send_data::OrderedDict{Integer, Tuple{NTuple{N, UnitRange{Integer}}, Option{Vector{T}}}} - recv_data::OrderedDict{Integer, Tuple{NTuple{N, UnitRange{Integer}}, Option{Vector{T}}}} + send_data::OrderedDict{Int32, Tuple{NTuple{N, UnitRange{Int32}}, Option{Vector{T}}}} + recv_data::OrderedDict{Int32, Tuple{NTuple{N, UnitRange{Int32}}, Option{Vector{T}}}} batch_size::Option{Integer} function ParRepartition(T, comm_in, comm_out, global_size) @@ -194,4 +194,12 @@ end function (R::ParRepartition{T,N})(x::X) where {T,N,X<:AbstractVector{T}} y = R(reshape(x, length(x), 1)) return vec(y) -end \ No newline at end of file +end + +function ChainRulesCore.rrule(A::ParRepartition{T,N}, x::X) where {T,N,X<:AbstractMatrix{T}} + op_out = A(x) + function pullback(op) + return NoTangent(), A'(op) + end + return op_out, pullback +end diff --git a/src/ParRestriction.jl b/src/ParRestriction.jl index 488cb39..11b70ce 100644 --- a/src/ParRestriction.jl +++ b/src/ParRestriction.jl @@ -53,3 +53,67 @@ function from_Dict(::Type{ParRestriction}, d) dtype = Data_TYPES[ts] ParRestriction(dtype, d["n"], ranges) end + +""" +Restriction operator for n dimensional tensor. +""" +struct ParRestrictionN{N,T} <: ParLinearOperator{T,T,NonParametric,External} + shape::NTuple{N, Int} + ranges::Vector{Vector{Int}} + ParRestrictionN(T, shape, ranges) = new{length(shape), T}(shape, ranges) + ParRestrictionN(shape, ranges) = new{length(shape), Float64}(shape, ranges) +end + +Domain(A::ParRestrictionN) = prod(A.shape) +Range(A::ParRestrictionN) = prod(map(range -> length(range), A.ranges)) + +function (A::ParRestrictionN{N,T})(x::X) where {N,T,X<:AbstractVector{T}} + batch_size = 1 # size(x)[2] + y = zeros_like(x, (Range(A), batch_size)) + copyto!(view(y, :), view(reshape(x, A.shape), A.ranges...)) + return vec(y) +end + +function (A::ParAdjoint{T,T,NonParametric,ParRestrictionN{N,T}})(y::Y) where {N,T,Y<:AbstractVector{T}} + batch_size = 1 # size(y)[2] + x = zeros_like(y, (Domain(A.op), batch_size)) + copyto!(view(reshape( x, A.op.shape), A.op.ranges...), view(y, :)) + return x +end + +# kron(A::ParRestriction{T}, B::ParRestriction{T}) where {T} = ParRestrictionN(T, (B.n, A.n), [vec(hcat(B.ranges...)), vec(hcat(A.ranges...))]) +# kron(A::ParRestriction{T}, B::ParRestrictionN{N, T}) where {N, T} = ParRestrictionN(T, (B.shape..., A.n), [B.ranges..., vec(hcat(A.ranges...))]) +# kron(A::ParRestrictionN{N, T}, B::ParRestriction{T}) where {N, T} = ParRestrictionN(T, (B.n, A.shape...), [vec(hcat(B.ranges...)), A.ranges...]) +# kron(A::ParRestrictionN{M, T}, B::ParRestrictionN{N, T}) where {M, N, T} = ParRestrictionN(T, (B.shape..., A.shape...), [B.ranges..., A.ranges...]) + +function ChainRulesCore.rrule(A::ParRestrictionN{N, T}, x::X) where {N,T,X<:AbstractVector{T}} + op_out = A(x) + function pullback(op) + return (NoTangent(), A'(op)) + end + return op_out, pullback +end + +function ChainRulesCore.rrule(A::ParAdjoint{T,T,NonParametric,ParRestrictionN{N,T}}, x::X) where {N,T,X<:AbstractVector{T}} + op_out = A(x) + function pullback(op) + return (NoTangent(), A.op(op)) + end + return op_out, pullback +end + +function ChainRulesCore.rrule(A::ParRestriction{T}, x::X) where {T,X<:AbstractMatrix{T}} + op_out = A(x) + function pullback(op) + return (NoTangent(), A'(op)) + end + return op_out, pullback +end + +function ChainRulesCore.rrule(A::ParAdjoint{T,T,NonParametric,ParRestriction{T}}, x::X) where {T,X<:AbstractMatrix{T}} + op_out = A(x) + function pullback(op) + return (NoTangent(), A.op(op)) + end + return op_out, pullback +end diff --git a/src/ParametricOperators.jl b/src/ParametricOperators.jl index d8a0e3d..d2079d1 100644 --- a/src/ParametricOperators.jl +++ b/src/ParametricOperators.jl @@ -32,6 +32,7 @@ include("ASTOptimization.jl") include("ParDistributed.jl") include("ParBroadcasted.jl") include("ParRepartition.jl") +include("ParReduce.jl") # Operator wrappers include("ParIdentity.jl") # Include above for use in transforms, etc. @@ -44,6 +45,7 @@ include("ParKron.jl") # Operator definitions include("ParMatrix.jl") +include("ParMatrixN.jl") include("ParDiagonal.jl") include("ParDFT.jl") include("ParRestriction.jl") @@ -51,4 +53,4 @@ include("ParRestriction.jl") # Operator serialization include("ASTSerialization.jl") -end \ No newline at end of file +end