diff --git a/docs/_build/html/C/.buildinfo b/docs/_build/html/C/.buildinfo index f07869f0..01667753 100644 --- a/docs/_build/html/C/.buildinfo +++ b/docs/_build/html/C/.buildinfo @@ -1,4 +1,4 @@ # Sphinx build info version 1 -# This file hashes the configuration used when building these files. When it is not found, a full rebuild will be done. -config: 9be5e82a2ad22e9a17dcfcb91ca0981e +# This file records the configuration used when building these files. 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If no paper is listed, a citation of the SPRAL GitHub website should be used, for example: - SPRAL: an open-source library for sparse linear algebra, Version 2024-05-08, ``_, May 2024. + SPRAL: an open-source library for sparse linear algebra, Version 2025-01-08, ``_, January 2025. Support ======= diff --git a/docs/_build/html/C/_sources/scaling.rst.txt b/docs/_build/html/C/_sources/scaling.rst.txt index af2890f2..796e4294 100644 --- a/docs/_build/html/C/_sources/scaling.rst.txt +++ b/docs/_build/html/C/_sources/scaling.rst.txt @@ -328,7 +328,7 @@ Routines .. c:function:: void spral_scaling_equilib_sym(int n, const int *ptr, const int *row, const double *val, double *scaling, const struct spral_scaling_equilib_options *options, struct spral_scaling_equilib_inform *inform) - Find a matching-based symmetric scaling using the norm-equilibration + Find a symmetric scaling using the norm-equilibration algorithm. The scaled matrix is such that the infinity norm of each row and column are @@ -348,7 +348,7 @@ Routines .. c:function:: void spral_scaling_equilib_unsym(int m, int n, const int *ptr, const int *row, const double *val, double *rscaling, double *cscaling, const struct spral_scaling_equilib_options *options, struct spral_scaling_equilib_inform *inform) - Find a matching-based unsymmetric scaling using the norm-equilibration + Find an unsymmetric scaling using the norm-equilibration algorithm. 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video",version:m,shivCSS:n.shivCSS!==!1,supportsUnknownElements:l,shivMethods:n.shivMethods!==!1,type:"default",shivDocument:j,createElement:g,createDocumentFragment:h,addElements:e};a.html5=t,j(b),"object"==typeof module&&module.exports&&(module.exports=t)}("undefined"!=typeof window?window:this,document); \ No newline at end of file diff --git a/docs/_build/html/C/_static/js/versions.js b/docs/_build/html/C/_static/js/versions.js new file mode 100644 index 00000000..4958195e --- /dev/null +++ b/docs/_build/html/C/_static/js/versions.js @@ -0,0 +1,228 @@ +const themeFlyoutDisplay = "hidden"; +const themeVersionSelector = true; +const themeLanguageSelector = true; + +if (themeFlyoutDisplay === "attached") { + function renderLanguages(config) { + if (!config.projects.translations.length) { + return ""; + } + + // Insert the current language to the options on the selector + let languages = config.projects.translations.concat(config.projects.current); + languages = languages.sort((a, b) => a.language.name.localeCompare(b.language.name)); + + const languagesHTML = ` +
+
Languages
+ ${languages + .map( + (translation) => ` +
+ ${translation.language.code} +
+ `, + ) + .join("\n")} +
+ `; + return languagesHTML; + } + + function renderVersions(config) { + if (!config.versions.active.length) { + return ""; + } + const versionsHTML = ` +
+
Versions
+ ${config.versions.active + .map( + (version) => ` +
+ ${version.slug} +
+ `, + ) + .join("\n")} +
+ `; + return versionsHTML; + } + + function renderDownloads(config) { + if (!Object.keys(config.versions.current.downloads).length) { + return ""; + } + const downloadsNameDisplay = { + pdf: "PDF", + epub: "Epub", + htmlzip: "HTML", + }; + + const downloadsHTML = ` +
+
Downloads
+ ${Object.entries(config.versions.current.downloads) + .map( + ([name, url]) => ` +
+ ${downloadsNameDisplay[name]} +
+ `, + ) + .join("\n")} +
+ `; + return downloadsHTML; + } + + document.addEventListener("readthedocs-addons-data-ready", function (event) { + const config = event.detail.data(); + + const flyout = ` +
+ + Read the Docs + v: ${config.versions.current.slug} + + +
+
+ ${renderLanguages(config)} + ${renderVersions(config)} + ${renderDownloads(config)} +
+
On Read the Docs
+
+ Project Home +
+
+ Builds +
+
+ Downloads +
+
+
+
Search
+
+
+ +
+
+
+
+ + Hosted by Read the Docs + +
+
+ `; + + // Inject the generated flyout into the body HTML element. + document.body.insertAdjacentHTML("beforeend", flyout); + + // Trigger the Read the Docs Addons Search modal when clicking on the "Search docs" input from inside the flyout. + document + .querySelector("#flyout-search-form") + .addEventListener("focusin", () => { + const event = new CustomEvent("readthedocs-search-show"); + document.dispatchEvent(event); + }); + }) +} + +if (themeLanguageSelector || themeVersionSelector) { + function onSelectorSwitch(event) { + const option = event.target.selectedIndex; + const item = event.target.options[option]; + window.location.href = item.dataset.url; + } + + document.addEventListener("readthedocs-addons-data-ready", function (event) { + const config = event.detail.data(); + + const versionSwitch = document.querySelector( + "div.switch-menus > div.version-switch", + ); + if (themeVersionSelector) { + let versions = config.versions.active; + if (config.versions.current.hidden || config.versions.current.type === "external") { + versions.unshift(config.versions.current); + } + const versionSelect = ` + + `; + + versionSwitch.innerHTML = versionSelect; + versionSwitch.firstElementChild.addEventListener("change", onSelectorSwitch); + } + + const languageSwitch = document.querySelector( + "div.switch-menus > div.language-switch", + ); + + if (themeLanguageSelector) { + if (config.projects.translations.length) { + // Add the current language to the options on the selector + let languages = config.projects.translations.concat( + config.projects.current, + ); + languages = languages.sort((a, b) => + a.language.name.localeCompare(b.language.name), + ); + + const languageSelect = ` + + `; + + languageSwitch.innerHTML = languageSelect; + languageSwitch.firstElementChild.addEventListener("change", onSelectorSwitch); + } + else { + languageSwitch.remove(); + } + } + }); +} + +document.addEventListener("readthedocs-addons-data-ready", function (event) { + // Trigger the Read the Docs Addons Search modal when clicking on "Search docs" input from the topnav. + document + .querySelector("[role='search'] input") + .addEventListener("focusin", () => { + const event = new CustomEvent("readthedocs-search-show"); + document.dispatchEvent(event); + }); +}); \ No newline at end of file diff --git a/docs/_build/html/C/_static/language_data.js b/docs/_build/html/C/_static/language_data.js index 250f5665..c7fe6c6f 100644 --- a/docs/_build/html/C/_static/language_data.js +++ b/docs/_build/html/C/_static/language_data.js @@ -1,19 +1,12 @@ /* - * language_data.js - * ~~~~~~~~~~~~~~~~ - * * This script contains the language-specific data used by searchtools.js, * namely the list of stopwords, stemmer, scorer and splitter. - * - * :copyright: Copyright 2007-2023 by the Sphinx team, see AUTHORS. - * :license: BSD, see LICENSE for details. - * */ var stopwords = ["a", "and", "are", "as", "at", "be", "but", "by", "for", "if", "in", "into", "is", "it", "near", "no", "not", "of", "on", "or", "such", "that", "the", "their", "then", "there", "these", "they", "this", "to", "was", "will", "with"]; -/* Non-minified version is copied as a separate JS file, is available */ +/* Non-minified version is copied as a separate JS file, if available */ /** * Porter Stemmer diff --git a/docs/_build/html/C/_static/searchtools.js b/docs/_build/html/C/_static/searchtools.js index 97d56a74..2c774d17 100644 --- a/docs/_build/html/C/_static/searchtools.js +++ b/docs/_build/html/C/_static/searchtools.js @@ -1,12 +1,5 @@ /* - * searchtools.js - * ~~~~~~~~~~~~~~~~ - * * Sphinx JavaScript utilities for the full-text search. - * - * :copyright: Copyright 2007-2023 by the Sphinx team, see AUTHORS. - * :license: BSD, see LICENSE for details. - * */ "use strict"; @@ -20,7 +13,7 @@ if (typeof Scorer === "undefined") { // and returns the new score. /* score: result => { - const [docname, title, anchor, descr, score, filename] = result + const [docname, title, anchor, descr, score, filename, kind] = result return score }, */ @@ -47,6 +40,14 @@ if (typeof Scorer === "undefined") { }; } +// Global search result kind enum, used by themes to style search results. +class SearchResultKind { + static get index() { return "index"; } + static get object() { return "object"; } + static get text() { return "text"; } + static get title() { return "title"; } +} + const _removeChildren = (element) => { while (element && element.lastChild) element.removeChild(element.lastChild); }; @@ -57,16 +58,20 @@ const _removeChildren = (element) => { const _escapeRegExp = (string) => string.replace(/[.*+\-?^${}()|[\]\\]/g, "\\$&"); // $& means the whole matched string -const _displayItem = (item, searchTerms) => { +const _displayItem = (item, searchTerms, highlightTerms) => { const docBuilder = DOCUMENTATION_OPTIONS.BUILDER; - const docUrlRoot = DOCUMENTATION_OPTIONS.URL_ROOT; const docFileSuffix = DOCUMENTATION_OPTIONS.FILE_SUFFIX; const docLinkSuffix = DOCUMENTATION_OPTIONS.LINK_SUFFIX; const showSearchSummary = DOCUMENTATION_OPTIONS.SHOW_SEARCH_SUMMARY; + const contentRoot = document.documentElement.dataset.content_root; - const [docName, title, anchor, descr, score, _filename] = item; + const [docName, title, anchor, descr, score, _filename, kind] = item; let listItem = document.createElement("li"); + // Add a class representing the item's type: + // can be used by a theme's CSS selector for styling + // See SearchResultKind for the class names. + listItem.classList.add(`kind-${kind}`); let requestUrl; let linkUrl; if (docBuilder === "dirhtml") { @@ -75,28 +80,35 @@ const _displayItem = (item, searchTerms) => { if (dirname.match(/\/index\/$/)) dirname = dirname.substring(0, dirname.length - 6); else if (dirname === "index/") dirname = ""; - requestUrl = docUrlRoot + dirname; + requestUrl = contentRoot + dirname; linkUrl = requestUrl; } else { // normal html builders - requestUrl = docUrlRoot + docName + docFileSuffix; + requestUrl = contentRoot + docName + docFileSuffix; linkUrl = docName + docLinkSuffix; } let linkEl = listItem.appendChild(document.createElement("a")); linkEl.href = linkUrl + anchor; linkEl.dataset.score = score; linkEl.innerHTML = title; - if (descr) + if (descr) { listItem.appendChild(document.createElement("span")).innerHTML = " (" + descr + ")"; + // highlight search terms in the description + if (SPHINX_HIGHLIGHT_ENABLED) // set in sphinx_highlight.js + highlightTerms.forEach((term) => _highlightText(listItem, term, "highlighted")); + } else if (showSearchSummary) fetch(requestUrl) .then((responseData) => responseData.text()) .then((data) => { if (data) listItem.appendChild( - Search.makeSearchSummary(data, searchTerms) + Search.makeSearchSummary(data, searchTerms, anchor) ); + // highlight search terms in the summary + if (SPHINX_HIGHLIGHT_ENABLED) // set in sphinx_highlight.js + highlightTerms.forEach((term) => _highlightText(listItem, term, "highlighted")); }); Search.output.appendChild(listItem); }; @@ -108,27 +120,46 @@ const _finishSearch = (resultCount) => { "Your search did not match any documents. Please make sure that all words are spelled correctly and that you've selected enough categories." ); else - Search.status.innerText = _( - `Search finished, found ${resultCount} page(s) matching the search query.` - ); + Search.status.innerText = Documentation.ngettext( + "Search finished, found one page matching the search query.", + "Search finished, found ${resultCount} pages matching the search query.", + resultCount, + ).replace('${resultCount}', resultCount); }; const _displayNextItem = ( results, resultCount, - searchTerms + searchTerms, + highlightTerms, ) => { // results left, load the summary and display it // this is intended to be dynamic (don't sub resultsCount) if (results.length) { - _displayItem(results.pop(), searchTerms); + _displayItem(results.pop(), searchTerms, highlightTerms); setTimeout( - () => _displayNextItem(results, resultCount, searchTerms), + () => _displayNextItem(results, resultCount, searchTerms, highlightTerms), 5 ); } // search finished, update title and status message else _finishSearch(resultCount); }; +// Helper function used by query() to order search results. +// Each input is an array of [docname, title, anchor, descr, score, filename, kind]. +// Order the results by score (in opposite order of appearance, since the +// `_displayNextItem` function uses pop() to retrieve items) and then alphabetically. +const _orderResultsByScoreThenName = (a, b) => { + const leftScore = a[4]; + const rightScore = b[4]; + if (leftScore === rightScore) { + // same score: sort alphabetically + const leftTitle = a[1].toLowerCase(); + const rightTitle = b[1].toLowerCase(); + if (leftTitle === rightTitle) return 0; + return leftTitle > rightTitle ? -1 : 1; // inverted is intentional + } + return leftScore > rightScore ? 1 : -1; +}; /** * Default splitQuery function. Can be overridden in ``sphinx.search`` with a @@ -152,13 +183,26 @@ const Search = { _queued_query: null, _pulse_status: -1, - htmlToText: (htmlString) => { + htmlToText: (htmlString, anchor) => { const htmlElement = new DOMParser().parseFromString(htmlString, 'text/html'); - htmlElement.querySelectorAll(".headerlink").forEach((el) => { el.remove() }); + for (const removalQuery of [".headerlink", "script", "style"]) { + htmlElement.querySelectorAll(removalQuery).forEach((el) => { el.remove() }); + } + if (anchor) { + const anchorContent = htmlElement.querySelector(`[role="main"] ${anchor}`); + if (anchorContent) return anchorContent.textContent; + + console.warn( + `Anchored content block not found. Sphinx search tries to obtain it via DOM query '[role=main] ${anchor}'. Check your theme or template.` + ); + } + + // if anchor not specified or not found, fall back to main content const docContent = htmlElement.querySelector('[role="main"]'); - if (docContent !== undefined) return docContent.textContent; + if (docContent) return docContent.textContent; + console.warn( - "Content block not found. Sphinx search tries to obtain it via '[role=main]'. Could you check your theme or template." + "Content block not found. Sphinx search tries to obtain it via DOM query '[role=main]'. Check your theme or template." ); return ""; }, @@ -211,6 +255,7 @@ const Search = { searchSummary.classList.add("search-summary"); searchSummary.innerText = ""; const searchList = document.createElement("ul"); + searchList.setAttribute("role", "list"); searchList.classList.add("search"); const out = document.getElementById("search-results"); @@ -231,16 +276,7 @@ const Search = { else Search.deferQuery(query); }, - /** - * execute search (requires search index to be loaded) - */ - query: (query) => { - const filenames = Search._index.filenames; - const docNames = Search._index.docnames; - const titles = Search._index.titles; - const allTitles = Search._index.alltitles; - const indexEntries = Search._index.indexentries; - + _parseQuery: (query) => { // stem the search terms and add them to the correct list const stemmer = new Stemmer(); const searchTerms = new Set(); @@ -276,22 +312,40 @@ const Search = { // console.info("required: ", [...searchTerms]); // console.info("excluded: ", [...excludedTerms]); - // array of [docname, title, anchor, descr, score, filename] - let results = []; + return [query, searchTerms, excludedTerms, highlightTerms, objectTerms]; + }, + + /** + * execute search (requires search index to be loaded) + */ + _performSearch: (query, searchTerms, excludedTerms, highlightTerms, objectTerms) => { + const filenames = Search._index.filenames; + const docNames = Search._index.docnames; + const titles = Search._index.titles; + const allTitles = Search._index.alltitles; + const indexEntries = Search._index.indexentries; + + // Collect multiple result groups to be sorted separately and then ordered. + // Each is an array of [docname, title, anchor, descr, score, filename, kind]. + const normalResults = []; + const nonMainIndexResults = []; + _removeChildren(document.getElementById("search-progress")); - const queryLower = query.toLowerCase(); + const queryLower = query.toLowerCase().trim(); for (const [title, foundTitles] of Object.entries(allTitles)) { - if (title.toLowerCase().includes(queryLower) && (queryLower.length >= title.length/2)) { + if (title.toLowerCase().trim().includes(queryLower) && (queryLower.length >= title.length/2)) { for (const [file, id] of foundTitles) { - let score = Math.round(100 * queryLower.length / title.length) - results.push([ + const score = Math.round(Scorer.title * queryLower.length / title.length); + const boost = titles[file] === title ? 1 : 0; // add a boost for document titles + normalResults.push([ docNames[file], titles[file] !== title ? `${titles[file]} > ${title}` : title, id !== null ? "#" + id : "", null, - score, + score + boost, filenames[file], + SearchResultKind.title, ]); } } @@ -300,46 +354,48 @@ const Search = { // search for explicit entries in index directives for (const [entry, foundEntries] of Object.entries(indexEntries)) { if (entry.includes(queryLower) && (queryLower.length >= entry.length/2)) { - for (const [file, id] of foundEntries) { - let score = Math.round(100 * queryLower.length / entry.length) - results.push([ + for (const [file, id, isMain] of foundEntries) { + const score = Math.round(100 * queryLower.length / entry.length); + const result = [ docNames[file], titles[file], id ? "#" + id : "", null, score, filenames[file], - ]); + SearchResultKind.index, + ]; + if (isMain) { + normalResults.push(result); + } else { + nonMainIndexResults.push(result); + } } } } // lookup as object objectTerms.forEach((term) => - results.push(...Search.performObjectSearch(term, objectTerms)) + normalResults.push(...Search.performObjectSearch(term, objectTerms)) ); // lookup as search terms in fulltext - results.push(...Search.performTermsSearch(searchTerms, excludedTerms)); + normalResults.push(...Search.performTermsSearch(searchTerms, excludedTerms)); // let the scorer override scores with a custom scoring function - if (Scorer.score) results.forEach((item) => (item[4] = Scorer.score(item))); - - // now sort the results by score (in opposite order of appearance, since the - // display function below uses pop() to retrieve items) and then - // alphabetically - results.sort((a, b) => { - const leftScore = a[4]; - const rightScore = b[4]; - if (leftScore === rightScore) { - // same score: sort alphabetically - const leftTitle = a[1].toLowerCase(); - const rightTitle = b[1].toLowerCase(); - if (leftTitle === rightTitle) return 0; - return leftTitle > rightTitle ? -1 : 1; // inverted is intentional - } - return leftScore > rightScore ? 1 : -1; - }); + if (Scorer.score) { + normalResults.forEach((item) => (item[4] = Scorer.score(item))); + nonMainIndexResults.forEach((item) => (item[4] = Scorer.score(item))); + } + + // Sort each group of results by score and then alphabetically by name. + normalResults.sort(_orderResultsByScoreThenName); + nonMainIndexResults.sort(_orderResultsByScoreThenName); + + // Combine the result groups in (reverse) order. + // Non-main index entries are typically arbitrary cross-references, + // so display them after other results. + let results = [...nonMainIndexResults, ...normalResults]; // remove duplicate search results // note the reversing of results, so that in the case of duplicates, the highest-scoring entry is kept @@ -353,14 +409,19 @@ const Search = { return acc; }, []); - results = results.reverse(); + return results.reverse(); + }, + + query: (query) => { + const [searchQuery, searchTerms, excludedTerms, highlightTerms, objectTerms] = Search._parseQuery(query); + const results = Search._performSearch(searchQuery, searchTerms, excludedTerms, highlightTerms, objectTerms); // for debugging //Search.lastresults = results.slice(); // a copy // console.info("search results:", Search.lastresults); // print the results - _displayNextItem(results, results.length, searchTerms); + _displayNextItem(results, results.length, searchTerms, highlightTerms); }, /** @@ -424,6 +485,7 @@ const Search = { descr, score, filenames[match[0]], + SearchResultKind.object, ]); }; Object.keys(objects).forEach((prefix) => @@ -458,14 +520,18 @@ const Search = { // add support for partial matches if (word.length > 2) { const escapedWord = _escapeRegExp(word); - Object.keys(terms).forEach((term) => { - if (term.match(escapedWord) && !terms[word]) - arr.push({ files: terms[term], score: Scorer.partialTerm }); - }); - Object.keys(titleTerms).forEach((term) => { - if (term.match(escapedWord) && !titleTerms[word]) - arr.push({ files: titleTerms[word], score: Scorer.partialTitle }); - }); + if (!terms.hasOwnProperty(word)) { + Object.keys(terms).forEach((term) => { + if (term.match(escapedWord)) + arr.push({ files: terms[term], score: Scorer.partialTerm }); + }); + } + if (!titleTerms.hasOwnProperty(word)) { + Object.keys(titleTerms).forEach((term) => { + if (term.match(escapedWord)) + arr.push({ files: titleTerms[term], score: Scorer.partialTitle }); + }); + } } // no match but word was a required one @@ -488,9 +554,8 @@ const Search = { // create the mapping files.forEach((file) => { - if (fileMap.has(file) && fileMap.get(file).indexOf(word) === -1) - fileMap.get(file).push(word); - else fileMap.set(file, [word]); + if (!fileMap.has(file)) fileMap.set(file, [word]); + else if (fileMap.get(file).indexOf(word) === -1) fileMap.get(file).push(word); }); }); @@ -531,6 +596,7 @@ const Search = { null, score, filenames[file], + SearchResultKind.text, ]); } return results; @@ -541,8 +607,8 @@ const Search = { * search summary for a given text. keywords is a list * of stemmed words. */ - makeSearchSummary: (htmlText, keywords) => { - const text = Search.htmlToText(htmlText); + makeSearchSummary: (htmlText, keywords, anchor) => { + const text = Search.htmlToText(htmlText, anchor); if (text === "") return null; const textLower = text.toLowerCase(); diff --git a/docs/_build/html/C/_static/sphinx_highlight.js b/docs/_build/html/C/_static/sphinx_highlight.js index aae669d7..8a96c69a 100644 --- a/docs/_build/html/C/_static/sphinx_highlight.js +++ b/docs/_build/html/C/_static/sphinx_highlight.js @@ -29,14 +29,19 @@ const _highlight = (node, addItems, text, className) => { } span.appendChild(document.createTextNode(val.substr(pos, text.length))); + const rest = document.createTextNode(val.substr(pos + text.length)); parent.insertBefore( span, parent.insertBefore( - document.createTextNode(val.substr(pos + text.length)), + rest, node.nextSibling ) ); node.nodeValue = val.substr(0, pos); + /* There may be more occurrences of search term in this node. So call this + * function recursively on the remaining fragment. + */ + _highlight(rest, addItems, text, className); if (isInSVG) { const rect = document.createElementNS( @@ -140,5 +145,10 @@ const SphinxHighlight = { }, }; -_ready(SphinxHighlight.highlightSearchWords); -_ready(SphinxHighlight.initEscapeListener); +_ready(() => { + /* Do not call highlightSearchWords() when we are on the search page. + * It will highlight words from the *previous* search query. + */ + if (typeof Search === "undefined") SphinxHighlight.highlightSearchWords(); + SphinxHighlight.initEscapeListener(); +}); diff --git a/docs/_build/html/C/coord_format.html b/docs/_build/html/C/coord_format.html index 34c95142..e6580fc5 100644 --- a/docs/_build/html/C/coord_format.html +++ b/docs/_build/html/C/coord_format.html @@ -1,24 +1,24 @@ + + - + - + - Coordinate (Coord) Format — spral v2024-05-08 [C] documentation - - - - - + Coordinate (Coord) Format — spral v2025-01-08 [C] documentation + + + + - - - - - - + + + + + + + @@ -38,9 +38,6 @@ spral -
- v2024-05-08 [C] -
@@ -94,7 +91,7 @@
-

Coordinate (Coord) Format

+

Coordinate (Coord) Format

This standard data format consists of the following data:

int    m;         /* number of rows (unsymmetric only) */
 int    n;         /* number of columns */
@@ -144,7 +141,7 @@ 

Coordinate (Coord) Format -

© Copyright 2024, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

+

© Copyright 2025, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

Built with Sphinx using a diff --git a/docs/_build/html/C/csc_format.html b/docs/_build/html/C/csc_format.html index d812bbc5..78c38021 100644 --- a/docs/_build/html/C/csc_format.html +++ b/docs/_build/html/C/csc_format.html @@ -1,24 +1,24 @@ + + - + - + - Compressed Sparse Column (CSC) Format — spral v2024-05-08 [C] documentation - - - - - + Compressed Sparse Column (CSC) Format — spral v2025-01-08 [C] documentation + + + + - - - - - - + + + + + + + @@ -38,9 +38,6 @@ spral -
- v2024-05-08 [C] -
@@ -94,7 +91,7 @@
-

Compressed Sparse Column (CSC) Format

+

Compressed Sparse Column (CSC) Format

This standard data format consists of the following data:

int    m;                  /* number of rows (unsymmetric only) */
 int    n;                  /* number of columns */
@@ -148,7 +145,7 @@ 

Compressed Sparse Column (CSC) Format -

© Copyright 2024, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

+

© Copyright 2025, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

Built with Sphinx using a diff --git a/docs/_build/html/C/genindex.html b/docs/_build/html/C/genindex.html index c8944873..2f72074b 100644 --- a/docs/_build/html/C/genindex.html +++ b/docs/_build/html/C/genindex.html @@ -1,22 +1,22 @@ + + - + - Index — spral v2024-05-08 [C] documentation - - - - - + Index — spral v2025-01-08 [C] documentation + + + + - - - - - + + + + + + @@ -34,9 +34,6 @@ spral -
- v2024-05-08 [C] -
@@ -542,7 +539,7 @@

S


-

© Copyright 2024, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

+

© Copyright 2025, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

Built with Sphinx using a diff --git a/docs/_build/html/C/index.html b/docs/_build/html/C/index.html index 72e2ecb3..86127e29 100644 --- a/docs/_build/html/C/index.html +++ b/docs/_build/html/C/index.html @@ -1,23 +1,24 @@ + + - + - + - The Sparse Parallel Robust Algorithms Library — spral v2024-05-08 [C] documentation - - - - - + The Sparse Parallel Robust Algorithms Library — spral v2025-01-08 [C] documentation + + + + - - - - - + + + + + + + @@ -36,9 +37,6 @@ spral -
- v2024-05-08 [C] -
@@ -92,7 +90,7 @@
-

The Sparse Parallel Robust Algorithms Library

+

The Sparse Parallel Robust Algorithms Library

Introduction

Built with Sphinx using a diff --git a/docs/_build/html/C/install.html b/docs/_build/html/C/install.html index 86c2185d..d9bd4e0b 100644 --- a/docs/_build/html/C/install.html +++ b/docs/_build/html/C/install.html @@ -1,23 +1,23 @@ + + - + - + - Installation — spral v2024-05-08 [C] documentation - - - - - + Installation — spral v2025-01-08 [C] documentation + + + + - - - - - + + + + + + @@ -37,9 +37,6 @@ spral -
- v2024-05-08 [C] -
@@ -113,9 +110,9 @@
-

Installation

+

Installation

-

Building with Meson:

+

Building with Meson:

We now support building with the Meson Build system. Under Linux, or macOS, or Windows:

# Setup SPRAL
@@ -132,7 +129,7 @@ 

Building with Meson:

-

Options to meson

+

Options to meson

In particular, the following options may be of interest:

  • --prefix=PREFIX specifies the installation path prefix (by default @@ -149,7 +146,7 @@

    Options to meso

-

Building with Autotools:

+

Building with Autotools:

Under Linux, or macOS:

# Get latest development version from github and run dev scripts
 git clone --depth=1 https://github.com/ralna/spral.git
@@ -169,7 +166,7 @@ 

Building with Autotools: -

Notes

+

Notes

  • The above instructions perform an out-of-path build: we recommend you change the value of $BUILDDIR to reflect the compiler used, for @@ -182,9 +179,9 @@

    Notes

-

Third-party libraries

+

Third-party libraries

-

METIS

+

METIS

Many of our packages use the METIS graph partitioning library to find good orderings. You can obtain a copy of METIS from http://www.cs.umn.edu/~metis. @@ -199,7 +196,7 @@

METIS

-

BLAS

+

BLAS

Many of our packages require a high performance BLAS library to efficiently perform dense linear algebra operations. For best performance, please use the library recommended by your computer manufacturer (normally the Intel MKL). @@ -218,7 +215,7 @@

BLAS

-

Compilers and compiler options

+

Compilers and compiler options

If no compiler is specified, configure will pick a default compiler to use. If configure cannot find an appropriate compiler, or you wish to specify a different compiler you can do so by setting the following @@ -246,7 +243,7 @@

Compilers and compiler options -

Other options to configure

+

Other options to configure

The configure script is generated by autoconf, and hence offers many standard options that can be listed using the command configure --help.

@@ -258,7 +255,7 @@

Other options to configure -

Citing SPRAL or SSIDS

+

Citing SPRAL or SSIDS

If you write a paper using software from SPRAL, please cite an appropriate paper (a list can usually be found in the method section of the user documentation).

@@ -268,16 +265,16 @@

Citing SPRAL or SSIDS

If no paper is listed, a citation of the SPRAL GitHub website should be used, for example:

-

SPRAL: an open-source library for sparse linear algebra, Version 2024-05-08, http://www.numerical.rl.ac.uk/spral, May 2024.

+

SPRAL: an open-source library for sparse linear algebra, Version 2025-01-08, http://www.numerical.rl.ac.uk/spral, January 2025.

-

Support

+

Support

Feeback may be sent to hsl@stfc.ac.uk or by filing an issue on our github: https://github.com/ralna/spral/issues.

-

Licence

+

Licence

Copyright (c) 2014-2023, The Science and Technology Facilities Council (STFC) All rights reserved.

Redistribution and use in source and binary forms, with or without @@ -316,7 +313,7 @@

Licence -

© Copyright 2024, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

+

© Copyright 2025, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

Built with Sphinx using a diff --git a/docs/_build/html/C/lsmr.html b/docs/_build/html/C/lsmr.html index b37a09f5..ed41efa4 100644 --- a/docs/_build/html/C/lsmr.html +++ b/docs/_build/html/C/lsmr.html @@ -1,24 +1,24 @@ + + - + - + - LSMR - Sparse Least Squares LSMR Solver — spral v2024-05-08 [C] documentation - - - - - + LSMR - Sparse Least Squares LSMR Solver — spral v2025-01-08 [C] documentation + + + + - - - - - - + + + + + + + @@ -38,9 +38,6 @@ spral -
- v2024-05-08 [C] -
@@ -111,12 +108,12 @@
-

LSMR - Sparse Least Squares LSMR Solver

+

LSMR - Sparse Least Squares LSMR Solver

#include <spral_lsmr.h> /* or <spral.h> for all packages */
 
-

Purpose

+

Purpose

This package uses the LSMR iterative method to solve sparse linear equations and sparse least-squares problems of the form:

@@ -154,7 +151,7 @@

Purpose\(((AP)^T(AP)+\lambda^2I)y=(AP)^Tb\)), but has better numerical properties, especially if \(A\) is ill-conditioned.

-

Notation

+

Notation

In the rest of this documentation, we use the following notation:

\[\begin{split}\bar{A} = \left( \begin{array}{c} @@ -170,7 +167,7 @@

Notation -

Version history

+

Version history

2016-05-10 Version 1.0.0.

Initial release.

@@ -179,10 +176,10 @@

Version history -

Subroutines

+

Subroutines

-void spral_lsmr_default_options(struct spral_lsmr_options *options)
+void spral_lsmr_default_options(struct spral_lsmr_options *options)

Initialises options to default values.

Parameters:
@@ -195,7 +192,7 @@

Subroutines
-int spral_lsmr_solve(int *action, int m, int n, double u[m], double v[n], double y[n], void **keep, struct spral_lsmr_options const *options, struct spral_lsmr_inform *inform, double *damp)
+int spral_lsmr_solve(int *action, int m, int n, double u[m], double v[n], double y[n], void **keep, struct spral_lsmr_options const *options, struct spral_lsmr_inform *inform, double *damp)

Solve the least squares problem. Uses reverse communication. Upon return the user must perform a task specified by the action parameter and recall the routine. Possible values of action and associated tasks are:

@@ -257,7 +254,7 @@

Subroutines
-int lsmr_free(void **keep)
+int lsmr_free(void **keep)

Free memory allocated in keep. If a series of problems is being solved sequentially, the same keep may be used without calling spral_lsmr_free() between each solution.

@@ -276,14 +273,14 @@

Subroutines -

Derived types

+

Derived types

struct spral_lsmr_options

Specify options used by LSMR algorithm.

-int print_freq_head
+int print_freq_head

Frequency of printing heading information (that is, how many lines are printed before the heading information is reprinted). @@ -292,7 +289,7 @@

Derived types
-int print_freq_itn
+int print_freq_itn

Frequency of printing status. There is printing on each of the first print_freq_itn iterations and then printing every print_freq_itn iterations. @@ -301,7 +298,7 @@

Derived types
-int unit_diagnostics
+int unit_diagnostics

Fortran unit for diagnostic printing. Printing is suppressed if negative. Default is 6.

@@ -309,7 +306,7 @@

Derived types
-int unit_error
+int unit_error

Fortran unit for printing error messages. Printing is suppressed if negative. Default is 6.

@@ -317,7 +314,7 @@

Derived types
-double atol
+double atol

Relative error in \(A\). i.e. if \(A\) is accurate to about 6 digits, set atol to 1.0e-6. Only used if spral_lsmr_options.ctest =3. @@ -326,7 +323,7 @@

Derived types
-double btol
+double btol

Relative error in \(b\). i.e. if \(b\) is accurate to about 6 digits, set btol to 1.0e-6. Only used if spral_lsmr_options.ctest =3. @@ -335,7 +332,7 @@

Derived types
-double conlim
+double conlim

Upper limit on \(cond(\bar{A})\), apparent condition number of \(\bar{A}\). Only used if spral_lsmr_options.ctest =3. @@ -344,7 +341,7 @@

Derived types
-int ctest
+int ctest

Convergence test to use. Options are:

@@ -367,7 +364,7 @@

Derived types
-int itnlim
+int itnlim

Maximum number of iterations. If negative, the limit used is \(4n\). Default is -1.

@@ -375,7 +372,7 @@

Derived types
-int itn_test
+int itn_test

Number of iterations between user convergence tests. If negative, use \(\min(n,10)\). Default is -1.

@@ -383,7 +380,7 @@

Derived types
-int localSize
+int localSize

Number of historical vectors to use for reorthogonalization. Default is 0.

@@ -397,7 +394,7 @@

Derived types
-double condAP
+double condAP

Estimate of \(cond(\bar{A})\). A very high value of condAP may again indicate an error in the products with \(A\), \(A^T\), \(P\), or \(P^T\). A negative value indicates that @@ -407,19 +404,19 @@

Derived types
-int flag
+int flag

Exit status of algorithm. See table below.

-int itn
+int itn

Number of iterations performed

-double normAP
+double normAP

Estimate of Frobenius norm of \(\bar{A}\). If \(\lambda\) is small and the columns of \(AP\) have all been scaled to have length 1.0, normAP should increase to roughly @@ -442,7 +439,7 @@

Derived types
-double normr
+double normr

Estimate of \(\|\bar{r}\|_2\). This will be small if \(Ax = b\) has a solution. A negative value indicates that no estimate is currently available. @@ -451,7 +448,7 @@

Derived types
-double normy
+double normy

Estimate of \(\|y\|_2\). A negative value indicates that no estimate is currently available. This component is not used if spral_lsmr_options.ctest =1.

@@ -459,7 +456,7 @@

Derived types
-int stat
+int stat

The Fortran stat parameter in the event of a failed allocation.

@@ -532,7 +529,7 @@

Derived types -

Example

+

Example

The following code illustrates the use of LMSR

/* examples/C/lsmr.c - Example code for SPRAL_LSMR package */
 #include "spral.h"
@@ -633,9 +630,9 @@ 

Example -

Method

+

Method

-

Algorithm

+

Algorithm

The method used is based on the Golub-Kahan bidiagonalization process. It is algebraically equivalent to applying MINRES to the normal equation \((A^TA+\lambda^2I)x=A^Tb\) (or \(((AP)^T(AP)+\lambda^2I)y=(AP)^Tb\), @@ -644,7 +641,7 @@

Algorithm[1].

-

Scaling

+

Scaling

LSMR uses an iterative method to approximate the solution. The number of iterations required to reach a certain accuracy depends strongly on the scaling of the problem. Poor scaling of the rows or columns of @@ -666,7 +663,7 @@

Scaling -

Initial estimate

+

Initial estimate

Note that \(x\) (or \(y\) for the preconditioned problem) is not an input parameter. If some initial estimate \(x_0\) of \(x\) is known and if \(\lambda = 0\), one could proceed as follows:

@@ -693,9 +690,9 @@

Initial estimate\(A \delta x = r_0\).

-

References

+

References

Built with Sphinx using a diff --git a/docs/_build/html/C/matrix_util.html b/docs/_build/html/C/matrix_util.html index 05f177ee..001ec1e2 100644 --- a/docs/_build/html/C/matrix_util.html +++ b/docs/_build/html/C/matrix_util.html @@ -1,24 +1,24 @@ + + - + - + - MATRIX_UTIL - Matrix utilities — spral v2024-05-08 [C] documentation - - - - - + MATRIX_UTIL - Matrix utilities — spral v2025-01-08 [C] documentation + + + + - - - - - - + + + + + + + @@ -38,9 +38,6 @@ spral -
- v2024-05-08 [C] -
@@ -101,12 +98,12 @@
-

MATRIX_UTIL - Matrix utilities

+

MATRIX_UTIL - Matrix utilities

#include <spral_matrix_util.h> /* or <spral.h> for all packages */
 
-

Purpose

+

Purpose

This packages contains assorted utility routines and datatypes for:
Built with Sphinx using a diff --git a/docs/_build/html/C/objects.inv b/docs/_build/html/C/objects.inv index 9f351ef8..e1d07800 100644 Binary files a/docs/_build/html/C/objects.inv and b/docs/_build/html/C/objects.inv differ diff --git a/docs/_build/html/C/random.html b/docs/_build/html/C/random.html index 38eedfa1..b9885a82 100644 --- a/docs/_build/html/C/random.html +++ b/docs/_build/html/C/random.html @@ -1,24 +1,24 @@ + + - + - + - RANDOM - Pseudo-random number generator — spral v2024-05-08 [C] documentation - - - - - + RANDOM - Pseudo-random number generator — spral v2025-01-08 [C] documentation + + + + - - - - - - + + + + + + + @@ -38,9 +38,6 @@ spral -
- v2024-05-08 [C] -
@@ -106,12 +103,12 @@
-

RANDOM - Pseudo-random number generator

+

RANDOM - Pseudo-random number generator

#include <spral_random.h> /* or <spral.h> for all packages */
 
-

Purpose

+

Purpose

This package generates pseudo-random numbers using a linear congruential generator. It should generate the same random numbers using any standards compliant Fortran compiler on any architecture so long as the default @@ -119,7 +116,7 @@

Purpose -

Random Seed

+

Random Seed

The random number generator’s state is stored in the variable state that is common to all calls. Before its first use, state should be initialized by the user to an initial seed value. For convienience the following @@ -139,10 +136,10 @@

Random Seed -

Routines

+

Routines

-double spral_random_real(int *state, bool positive)
+double spral_random_real(int *state, bool positive)

Return a real uniformly at random from the interval \((-1,1)\) (positive=true) or \((0,1)\) (positive=false).

@@ -161,7 +158,7 @@

Routines
-int spral_random_integer(int *state, int n)
+int spral_random_integer(int *state, int n)

Return an int uniformly at random from the interval \([1,n]\).

Parameters:
@@ -178,7 +175,7 @@

Routines
-int64_t spral_random_long(int *state, int64_t n)
+int64_t spral_random_long(int *state, int64_t n)

Return a int64_t uniformly at random from the interval \([1,n]\).

Parameters:
@@ -195,7 +192,7 @@

Routines
-bool spral_random_logical(int *state)
+bool spral_random_logical(int *state)

Return a logical with equal probability of being true or false.

Parameters:
@@ -211,7 +208,7 @@

Routines -

Example

+

Example

The following code:

/* examples/C/random.c - Example code for SPRAL_RANDOM package */
 #include "spral.h"
@@ -279,7 +276,7 @@ 

Example -

Method

+

Method

We use a linear congruential generator of the following form:

\[X_{n+1} = (aX_n + c)\quad \mathrm{mod}\; m\]
@@ -293,7 +290,7 @@

Method

The variable state stores the current value of \(X_n\).

-

In spral_random_real()

+

In spral_random_real()

Samples from \(\mathrm{Unif}(0,1)\) are generated as

\[\frac{\mathrm{real}(X_n)}{\mathrm{real}(m)},\]
@@ -302,13 +299,13 @@

In -

In spral_random_integer()

+

In spral_random_integer()

Samples from \(\mathrm{Unif}(1,\ldots,n)\) are generated as

\[\mathrm{int}\left(X_n\frac{\mathrm{real}(n)}{\mathrm{real}(m)}\right) + 1\]
-

In spral_random_logical()

+

In spral_random_logical()

Returns the value of the Fortran expression

Built with Sphinx using a diff --git a/docs/_build/html/C/random_matrix.html b/docs/_build/html/C/random_matrix.html index 58587014..ee1c4007 100644 --- a/docs/_build/html/C/random_matrix.html +++ b/docs/_build/html/C/random_matrix.html @@ -1,24 +1,24 @@ + + - + - + - RANDOM_MATRIX - Pseudo-random Matrix Generator — spral v2024-05-08 [C] documentation - - - - - + RANDOM_MATRIX - Pseudo-random Matrix Generator — spral v2025-01-08 [C] documentation + + + + - - - - - - + + + + + + + @@ -38,9 +38,6 @@ spral -
- v2024-05-08 [C] -
@@ -105,19 +102,19 @@
-

RANDOM_MATRIX - Pseudo-random Matrix Generator

+

RANDOM_MATRIX - Pseudo-random Matrix Generator

#include <spral_random_matrix.h> /* or <spral.h> for all packages */
 
-

Purpose

+

Purpose

This package generates a random sparse matrix of specified size and density in compressed sparse column format. Either the pattern or both the pattern and values can be generated. Both symmetric and unsymmetric matrices can be generated, and structural non-degeneracy can optionally be ensured, and the row indices can be sorted within columns.

-

Version history

+

Version history

2016-09-08 Version 1.1.0

Add long support

@@ -127,7 +124,7 @@

Version history -

Seed Initialization

+

Seed Initialization

Prior to first use, the random number generator state must be initialised:

int state = SPRAL_RANDOM_INITIAL_SEED;
 
@@ -135,10 +132,10 @@

Seed Initialization -

Routines

+

Routines

-int spral_random_matrix_generate(int *state, enum spral_matrix_type matrix_type, int m, int n, int nnz, int ptr[n + 1], int row[nnz], double *val, int flags)
+int spral_random_matrix_generate(int *state, enum spral_matrix_type matrix_type, int m, int n, int nnz, int ptr[n + 1], int row[nnz], double *val, int flags)

Generate an \(m\times n\) random matrix with math:`nnz non-zero entries.

If matrix_type specifies a symmetric or skew symmetric matrix, only @@ -215,14 +212,14 @@

Routines
-int spral_random_matrix_generate_long(int *state, enum spral_matrix_type matrix_type, int m, int n, int64_t nnz, int64_t ptr[n + 1], int row[nnz], double *val, int flags)
+int spral_random_matrix_generate_long(int *state, enum spral_matrix_type matrix_type, int m, int n, int64_t nnz, int64_t ptr[n + 1], int row[nnz], double *val, int flags)

As spral_random_matrix_generate(), except nnz and ptr are int64_t.

-

Macros

+

Macros

The following preprocessor macros are defined:

@@ -247,7 +244,7 @@

Macros
-

Example

+

Example

The following code generates a random \(4 \times 5\) matrix with \(8\) non-zeroes that is non-singular.

/* examples/C/random_matrix.c - Example code for SPRAL_RANDOM_MATRIX package */
@@ -292,7 +289,7 @@ 

Example -

Method

+

Method

If structural non-singularity is requested, first \(\min(m, n)\) entries are generated as follows:

@@ -329,7 +326,7 @@

Method
-

© Copyright 2024, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

+

© Copyright 2025, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

Built with
Sphinx using a diff --git a/docs/_build/html/C/rutherford_boeing.html b/docs/_build/html/C/rutherford_boeing.html index ca2c6922..0bc84801 100644 --- a/docs/_build/html/C/rutherford_boeing.html +++ b/docs/_build/html/C/rutherford_boeing.html @@ -1,24 +1,24 @@ + + - + - + - RUTHERFORD_BOEING - RB File Utilities — spral v2024-05-08 [C] documentation - - - - - + RUTHERFORD_BOEING - RB File Utilities — spral v2025-01-08 [C] documentation + + + + - - - - - - + + + + + + + @@ -38,9 +38,6 @@ spral -
- v2024-05-08 [C] -
@@ -115,12 +112,12 @@
-

RUTHERFORD_BOEING - RB File Utilities

+

RUTHERFORD_BOEING - RB File Utilities

#include <spral_rutherford_boeing.h> /* or <spral.h> for all packages */
 
-

Purpose

+

Purpose

This package provides routines to read and write matrices stored in files using the Rutherford-Boeing format.

At present, reading and writing of supplementary data (e.g. right-hand sides) @@ -130,7 +127,7 @@

PurposeMC56 that are available without charge (although redistribution is not permitted).

-

Version history

+

Version history

2016-09-08 Version 1.0.0

Initial release.

@@ -139,10 +136,10 @@

Version history -

Subroutines

+

Subroutines

-void spral_rb_default_read_options(struct spral_rb_read_options *options)
+void spral_rb_default_read_options(struct spral_rb_read_options *options)

Intialises members of spral_rb_read_options structure to default values.

@@ -156,7 +153,7 @@

Subroutines
-void spral_rb_default_write_options(struct spral_rb_write_options *options)
+void spral_rb_default_write_options(struct spral_rb_write_options *options)

Intialises members of spral_rb_write_options structure to default values.

@@ -170,7 +167,7 @@

Subroutines
-int rb_peek(const char *filename, int *m, int *n, int64_t *nelt, int64_t *nvar, int64_t *nval, enum spral_matrix_type *matrix_type, char *type_code, char *title, char *identifier)
+int rb_peek(const char *filename, int *m, int *n, int64_t *nelt, int64_t *nvar, int64_t *nval, enum spral_matrix_type *matrix_type, char *type_code, char *title, char *identifier)

Returns information about a matrix \(A\) stored in a specified file using Rutherford Boring format (only information from the file header is accessed).

@@ -204,7 +201,7 @@

Subroutines
-int spral_rb_read(const char *filename, void **handle, enum spral_matrix_type *matrix_type, int *m, int *n, int64_t **ptr, int **row, double **val, const struct spral_rb_read_options *options, char *title, char *identifier, int *state)
+int spral_rb_read(const char *filename, void **handle, enum spral_matrix_type *matrix_type, int *m, int *n, int64_t **ptr, int **row, double **val, const struct spral_rb_read_options *options, char *title, char *identifier, int *state)

Reads a CSC matrix from a file stored in RB format.

Warning

@@ -255,7 +252,7 @@

Subroutines
-int spral_rb_read_ptr32(const char *filename, void **handle, enum spral_matrix_type *matrix_type, int *m, int *n, int **ptr, int **row, double **val, const struct spral_rb_read_options *options, char *title, char *identifier, int *state)
+int spral_rb_read_ptr32(const char *filename, void **handle, enum spral_matrix_type *matrix_type, int *m, int *n, int **ptr, int **row, double **val, const struct spral_rb_read_options *options, char *title, char *identifier, int *state)

As spral_rb_read() except ptr has type int.

Note

@@ -266,7 +263,7 @@

Subroutines
-int spral_rb_write(const char *filename, enum spral_matrix_type matrix_type, int m, int n, const int64_t *ptr, const int *row, const double *val, const struct spral_rb_write_options *options, const char *title, const char *identifier)
+int spral_rb_write(const char *filename, enum spral_matrix_type matrix_type, int m, int n, const int64_t *ptr, const int *row, const double *val, const struct spral_rb_write_options *options, const char *title, const char *identifier)

Writes a CSC format matrix to the specified file in RB format.

Parameters:
@@ -298,7 +295,7 @@

Subroutines
-int spral_rb_write_ptr32(const char *filename, enum spral_matrix_type matrix_type, int m, int n, const int *ptr, const int *row, const double *val, const struct spral_rb_write_options *options, const char *title, const char *identifier)
+int spral_rb_write_ptr32(const char *filename, enum spral_matrix_type matrix_type, int m, int n, const int *ptr, const int *row, const double *val, const struct spral_rb_write_options *options, const char *title, const char *identifier)

As spral_rb_write() except ptr has type int.

Note

@@ -309,9 +306,9 @@

Subroutines -

Return codes

+

Return codes

- + @@ -359,21 +356,21 @@

Return codes -

Derived types

+

Derived types

-typedef struct spral rb_read_options
+typedef struct spral rb_read_options

Specify options for reading matrices.

-bool add_diagonal
+bool add_diagonal

Add any diagonal entries that are missing if true. Default is false

-float extra_space
+float extra_space

Proportion of extra space to allow in row[] and val[] arrays. They are allocated to have size options.extra_space * ptr[n]. Default is 1.0.

@@ -381,7 +378,7 @@

Derived types
-int lwr_upr_full
+int lwr_upr_full

Return lower triangle, upper triangle or both for symmetric and skew-symmetric matrices. One of:

Return codesReturn codes

inform

Status

@@ -402,7 +399,7 @@

Derived types
-int values
+int values

Whether to read and/or generate values. One of:

@@ -450,7 +447,7 @@

Derived types
-char val_format[20]
+char val_format[20]

Fortran format string to use when writing values. Should not exceed 80 characters per line. Default is “(3e24.16)”.

@@ -465,9 +462,9 @@

Derived types -

Example

+

Example

-

Reading a matrix

+

Reading a matrix

The following code reads a matrix from the file “matrix.rb”:

/* examples/C/rutherford_boeing/rb_read.c
  * Example code for SPRAL_RUTHERFORD_BOEING */
@@ -512,7 +509,7 @@ 

Reading a matrix -

Writing a matrix

+

Writing a matrix

The following code writes a matrix to the file “matrix.rb”:

/* examples/C/rutherford_boeing/rb_write.c
  * Example code for SPRAL_RUTHERFORD_BOEING */
@@ -557,9 +554,9 @@ 

Writing a matrix -

Method

+

Method

-

Generation of random values

+

Generation of random values

Values are generated uniformly at random from \([-1,1]\). If a diagonally dominant matrix is requested, the diagonal entry in each row is set to \(\max(100, 10k)\), where k is the number of entries @@ -568,7 +565,7 @@

Generation of random valuesspral_random module is used.

-

Rutherford Boeing File format

+

Rutherford Boeing File format

The Rutherford Boeing file format is described in the following report [1]. A file may either contain a sparse matrix or supplementary data. However, this package only supports the former.

@@ -576,7 +573,7 @@

Generation of random values -

+ @@ -611,7 +608,7 @@

Generation of random values -

Type codeType code

First character

Second character

@@ -353,7 +350,7 @@

Basic Subroutines
-void spral_ssids_solve(int job, int nrhs, double *x, int ldx, void *akeep, void *fkeep, const struct spral_ssids_options *options, struct spral_ssids_inform *inform)
+void spral_ssids_solve(int job, int nrhs, double *x, int ldx, void *akeep, void *fkeep, const struct spral_ssids_options *options, struct spral_ssids_inform *inform)

Solve (for multiple right-hand sides) one of the following equations:

@@ -409,7 +406,7 @@

Basic Subroutines
-int spral_ssids_free_akeep(void **akeep)
+int spral_ssids_free_akeep(void **akeep)

Frees memory and resources associated with akeep.

Parameters:
@@ -425,7 +422,7 @@

Basic Subroutines
-int spral_ssids_free_fkeep(void **fkeep)
+int spral_ssids_free_fkeep(void **fkeep)

Frees memory and resources associated with fkeep.

Parameters:
@@ -441,7 +438,7 @@

Basic Subroutines
-int spral_ssids_free(void **akeep, void **fkeep)
+int spral_ssids_free(void **akeep, void **fkeep)

Frees memory and resources associated with akeep and fkeep.

@@ -466,10 +463,10 @@

Basic Subroutines -

Advanced subroutines

+

Advanced subroutines

-void spral_ssids_enquire_posdef(const void *akeep, const void *fkeep, const struct spral_ssids_options *options, struct spral_ssids_inform *inform, double *d)
+void spral_ssids_enquire_posdef(const void *akeep, const void *fkeep, const struct spral_ssids_options *options, struct spral_ssids_inform *inform, double *d)

Return the diagonal entries of the Cholesky factor.

Parameters:
@@ -492,7 +489,7 @@

Advanced subroutines
-void spral_ssids_enquire_indef(const void *akeep, const void *fkeep, const struct spral_ssids_options *options, struct spral_ssids_inform *inform, int *piv_order, double *d)
+void spral_ssids_enquire_indef(const void *akeep, const void *fkeep, const struct spral_ssids_options *options, struct spral_ssids_inform *inform, int *piv_order, double *d)

Return the pivot order and/or values of \(D\) of the Symmetric Indefinite Factorization.

@@ -520,7 +517,7 @@

Advanced subroutines
-void spral_ssids_alter(const double *d, const void *akeep, void *fkeep, const struct spral_ssids_options *options, struct spral_ssids_inform *inform)
+void spral_ssids_alter(const double *d, const void *akeep, void *fkeep, const struct spral_ssids_options *options, struct spral_ssids_inform *inform)

Alter the entries of the diagonal factor \(D\) for a symmetric indefinite factorization. The pivot order remains the same.

@@ -547,7 +544,7 @@

Advanced subroutines
-

Derived types

+

Derived types

struct spral_ssids_options
@@ -563,7 +560,7 @@

Derived types
-int print_level
+int print_level

Level of printing:

@@ -602,7 +599,7 @@

Derived types
-int unit_warning
+int unit_warning

Fortran unit number for printing of warning messages. Printing is suppressed if <0. The default is 6 (stdout).

@@ -610,7 +607,7 @@

Derived types
-int ordering
+int ordering

Ordering method to use in analyse phase:

@@ -641,7 +638,7 @@

Derived types
-int nemin
+int nemin

Supernode amalgamation threshold. Two neighbours in the elimination tree are merged if they both involve fewer than nemin eliminations. The default is used if nemin<1. @@ -650,7 +647,7 @@

Derived types
-float gpu_perf_coeff
+float gpu_perf_coeff

GPU performance coefficient. How many times faster a GPU is than CPU at factoring a subtree. Default is 1.0.

@@ -658,7 +655,7 @@

Derived types
-int scaling
+int scaling

Scaling algorithm to use:

@@ -697,7 +694,7 @@

Derived types
-int64_t small_subtree_threshold
+int64_t small_subtree_threshold

Maximum number of flops in a subtree treated as a single task. See method section. @@ -706,7 +703,7 @@

Derived types
-int cpu_block_size
+int cpu_block_size

Block size to use for parallelization of large nodes on CPU resources. Default is 256.

@@ -714,7 +711,7 @@

Derived types
-bool action
+bool action

Continue factorization of singular matrix on discovery of zero pivot if true (a warning is issued), or abort if false. The default is true.

@@ -722,7 +719,7 @@

Derived types
-int pivot_method
+int pivot_method

Pivot method to be used on CPU, one of:

@@ -746,7 +743,7 @@

Derived types
-double small
+double small

Threshold below which an entry is treated as equivalent to 0.0. The default is 1e-20.

@@ -754,7 +751,7 @@

Derived types
-double u
+double u

Relative pivot threshold used in symmetric indefinite case. Values outside of the range \([0,0.5]\) are treated as the closest value in that range. @@ -769,19 +766,19 @@

Derived types
-int64_t cpu_flops
+int64_t cpu_flops

Number of flops performed on CPU

-int cublas_error
+int cublas_error

CUBLAS error code in the event of a CUBLAS error (0 otherwise).

-int cuda_error
+int cuda_error

CUDA error code in the event of a CUDA error (0 otherwise). Note that due to asynchronous execution, CUDA errors may not be reported by the call that caused them.

@@ -795,13 +792,13 @@

Derived types
-int64_t gpu_flops
+int64_t gpu_flops

Number of flops performed on GPU

-int matrix_dup
+int matrix_dup

Number of duplicate entries encountered (if spral_ssids_analyse() called with check=true, or any call to spral_ssids_analyse_coord()).

@@ -809,7 +806,7 @@

Derived types
-int matrix_missing_diag
+int matrix_missing_diag

Number of diagonal entries without an explicit value (if spral_ssids_analyse() called with check=true, or any call to spral_ssids_analyse_coord()).

@@ -817,7 +814,7 @@

Derived types
-int matrix_outrange
+int matrix_outrange

Number of out-of-range entries encountered (if spral_ssids_analyse() called with check=true, or any call to spral_ssids_analyse_coord()).

@@ -825,34 +822,34 @@

Derived types
-int matrix_rank
+int matrix_rank

(Estimated) rank (structural after analyse phase, numerical after factorize phase).

-int maxdepth
+int maxdepth

Maximum depth of the assembly tree.

-int maxfront
+int maxfront

Maximum front size (without pivoting after analyse phase, with pivoting after factorize phase).

-int maxsupernode
+int maxsupernode

Maximum supernode size (without pivoting after analyse phase, with pivoting after factorize phase).

-int num_delay
+int num_delay

Number of delayed pivots. That is, the total number of fully-summed variables that were passed to the father node because of stability considerations. If a variable is passed further up the tree, it will be @@ -861,14 +858,14 @@

Derived types
-int64_t num_factor
+int64_t num_factor

Number of entries in \(L\) (without pivoting after analyse phase, with pivoting after factorize phase).

-int64_t num_flops
+int64_t num_flops

Number of floating-point operations for Cholesky factorization (indefinte needs slightly more). Without pivoting after analyse phase, with pivoting after factorize phase.

@@ -876,20 +873,20 @@

Derived types
-int num_neg
+int num_neg

Number of negative eigenvalues of the matrix \(D\) after factorize phase.

-int num_sup
+int num_sup

Number of supernodes in assembly tree.

-int num_two
+int num_two

Number of \(2 \times 2\) pivots used by the factorization (i.e. in the matrix \(D\)).

@@ -1019,7 +1016,7 @@

Derived types -

Example

+

Example

Suppose we wish to factorize the matrix

\[\begin{split}A = \left(\begin{array}{ccccc} @@ -1118,7 +1115,7 @@

Derived types -

Driver Program

+

Driver Program

SSIDS ships with a driver program spral_ssids that allows reading a matrix in Rutherford-Boeing format specified as a command-line argument and factorizing it. There are a number of other command-line arguments that @@ -1260,9 +1257,9 @@

Driver Program -

Method

+

Method

-

Partition of work across available resources

+

Partition of work across available resources

Once the ordering has been determined and the assembly tree determined in the analyse phase, the tree is broken into a number of leaf subtrees rooted at a single node, leaving a root subtree/forest consisting of all remaining nodes @@ -1276,7 +1273,7 @@

Partition of work across available resources -

Data checking

+

Data checking

If check is set to .true. on the call to spral_ssids_analyse() or if spral_ssids_analyse_coord() is called, the user-supplied matrix data is checked for errors. The cleaned integer matrix data (duplicates are @@ -1294,7 +1291,7 @@

Data checking -

Factorization performed

+

Factorization performed

The factorization performed depends on the value of posdef.

If posdef=true, a Cholesky factorization is performed:

@@ -1312,7 +1309,7 @@

Factorization performed

-

Small Leaf Subtrees

+

Small Leaf Subtrees

For subtrees allocated to run on the CPU, the factorization of small nodes near the leaves of the tree can be amalgamated into a single parallel task (normally each would be treated as its own OpenMP task to be scheduled). This can reduce @@ -1322,9 +1319,9 @@

Factorization performed

-

References

+

References

Built with Sphinx using a diff --git a/docs/_build/html/C/ssmfe.html b/docs/_build/html/C/ssmfe.html index c6a51038..324cf3c7 100644 --- a/docs/_build/html/C/ssmfe.html +++ b/docs/_build/html/C/ssmfe.html @@ -1,24 +1,24 @@ + + - + - + - SSMFE - Sparse Symmetric Matrix-Free Eigensolver — spral v2024-05-08 [C] documentation - - - - - + SSMFE - Sparse Symmetric Matrix-Free Eigensolver — spral v2025-01-08 [C] documentation + + + + - - - - - - + + + + + + + @@ -38,9 +38,6 @@ spral -
- v2024-05-08 [C] -
@@ -113,12 +110,12 @@
-

SSMFE - Sparse Symmetric Matrix-Free Eigensolver

+

SSMFE - Sparse Symmetric Matrix-Free Eigensolver

#include <spral_ssmfe.h> /* or <spral.h> for all packages */
 
-

Purpose

+

Purpose

This package computes extreme (leftmost and/or rightmost) eigenpairs \(\{\lambda_i, x_i\}\) of the following eigenvalue problems:

Built with Sphinx using a diff --git a/docs/_build/html/C/ssmfe_core.html b/docs/_build/html/C/ssmfe_core.html index aed9a6b2..d5179c3a 100644 --- a/docs/_build/html/C/ssmfe_core.html +++ b/docs/_build/html/C/ssmfe_core.html @@ -1,24 +1,24 @@ + + - + - + - SSMFE_CORE - Sparse Symmetric Matrix-Free Eigensolver (Core Algorithm) — spral v2024-05-08 [C] documentation - - - - - + SSMFE_CORE - Sparse Symmetric Matrix-Free Eigensolver (Core Algorithm) — spral v2025-01-08 [C] documentation + + + + - - - - - - + + + + + + + @@ -37,9 +37,6 @@ spral -
- v2024-05-08 [C] -
@@ -116,12 +113,12 @@
-

SSMFE_CORE - Sparse Symmetric Matrix-Free Eigensolver (Core Algorithm)

+

SSMFE_CORE - Sparse Symmetric Matrix-Free Eigensolver (Core Algorithm)

#include <spral_ssmfe.h> /* or <spral.h> for all packages */
 
-

Purpose

+

Purpose

This package computes extreme (leftmost and/or rightmost) eigenpairs \(\{\lambda_i, x_i\}\) of the following eigenvalue problems:

    @@ -151,7 +148,7 @@

    Purpose -

    Major version history

    +

    Major version history

    2014-11-20 Version 1.0.0

    Initial release

    @@ -159,7 +156,7 @@

    Major version history

-

Usage overview

+

Usage overview

This package implements a block iterative algorithm for simultaneous computation of several eigenpairs for the problems above. The block nature of this @@ -202,7 +199,7 @@

Usage overview -

Subroutines

+

Subroutines

To use the solver procedures, the user must maintain a workspace of (kw+1) blocks each containing m vectors of size n. For notational convienience we refer to this workspace as a Fortran array W[kw+1][m][n], but the user @@ -271,7 +268,7 @@

SubroutinesX(:)).

-void spral_ssmfe_core_default_options(struct spral_ssmfe_core_options *options)
+void spral_ssmfe_core_default_options(struct spral_ssmfe_core_options *options)

Intialises members of options structure to default values.

Parameters:
@@ -284,7 +281,7 @@

Subroutines
-void spral_ssmfe_double(struct spral_ssmfe_rcid *rci, int problem, int left, int right, int m, double *lambda, double *rr, int *ind, void **keep, const struct spral_ssmfe_core_options *options, struct spral_ssmfe_inform *inform)
+void spral_ssmfe_double(struct spral_ssmfe_rcid *rci, int problem, int left, int right, int m, double *lambda, double *rr, int *ind, void **keep, const struct spral_ssmfe_core_options *options, struct spral_ssmfe_inform *inform)

Computes specified number of leftmost and rightmost eigenvalues and corresponding eigenvectors.

Uses reverse-communication. Upon return the user must perform a task @@ -488,14 +485,14 @@

Subroutines
-void spral_ssmfe_double_complex(struct spral_ssmfe_rciz *rci, int problem, int left, int right, int m, double *lambda, double complex *rr, int *ind, void **keep, const struct spral_ssmfe_core_options *options, struct spral_ssmfe_inform *inform)
+void spral_ssmfe_double_complex(struct spral_ssmfe_rciz *rci, int problem, int left, int right, int m, double *lambda, double complex *rr, int *ind, void **keep, const struct spral_ssmfe_core_options *options, struct spral_ssmfe_inform *inform)

As spral_ssmfe_double(), but types of rci and rr changed to support type double complex.

-void spral_ssmfe_largest_double(struct spral_ssmfe_rcid *rci, int problem, int nep, int m, double *lambda, double *rr, int *ind, void **keep, const struct spral_ssmfe_core_options *options, struct spral_ssmfe_inform *inform)
+void spral_ssmfe_largest_double(struct spral_ssmfe_rcid *rci, int problem, int nep, int m, double *lambda, double *rr, int *ind, void **keep, const struct spral_ssmfe_core_options *options, struct spral_ssmfe_inform *inform)

Computes specified number of eigenvalues of largest magnitude and corresponding eigenvectors.

Uses reverse-communication. Upon return the user must perform a task @@ -539,14 +536,14 @@

Subroutines
-void spral_ssmfe_largest_double_complex(struct spral_ssmfe_rciz *rci, int problem, int nep, int m, double *lambda, spral_double_complex *rr, int *ind, void **keep, const struct spral_ssmfe_core_options *options, struct spral_ssmfe_inform *inform)
+void spral_ssmfe_largest_double_complex(struct spral_ssmfe_rciz *rci, int problem, int nep, int m, double *lambda, spral_double_complex *rr, int *ind, void **keep, const struct spral_ssmfe_core_options *options, struct spral_ssmfe_inform *inform)

As spral_ssmfe_largest_double(), but types of rci and rr changed to support type double complex.

-void spral_ssmfe_core_free(void **keep, struct spral_ssmfe_inform *inform)
+void spral_ssmfe_core_free(void **keep, struct spral_ssmfe_inform *inform)

Free memory allocated in keep and inform.

Parameters:
@@ -565,14 +562,14 @@

Subroutines -

Derived types

+

Derived types

struct spral_ssmfe_core_options

Options that control the algorithm.

-int err_est
+int err_est

Error estimation scheme, one of:

@@ -591,7 +588,7 @@

Derived types
-int extra_left
+int extra_left

Number of extra approximate eigenvectors corresponding to leftmost eigenvalues used to enhance convergence. Default is 0.

@@ -599,7 +596,7 @@

Derived types
-int extra_right
+int extra_right

Number of extra approximate eigenvectors corresponding to rightmost eigenvalues used to enhance convergence. Default is 0.

@@ -607,7 +604,7 @@

Derived types
-bool minAprod
+bool minAprod

If true, minimize number of multiplications with \(A\) by requiring 2 additional blocks of memory for the workspace W[:][:][:]. If false, three returns with rci.job=1 @@ -617,7 +614,7 @@

Derived types
-bool minBprod
+bool minBprod

If true, minimize number of multiplications with \(B\) by requiring 2 additional blocks of memory for the workspace W[:][:][:]. If false, at least three returns with @@ -627,7 +624,7 @@

Derived types
-double min_gap
+double min_gap

Restart sensitivity: if the relative distance between the last eigenvalue of interest on either margin of the spectrum and the rest of the spectrum is smaller than min_gap, @@ -641,7 +638,7 @@

Derived types
-double cf_max
+double cf_max

Stagnation sensitivity: if the value \(q_{ij}\) (see method section) is greater than cf_max for \(i > 5\), the eigenpair is marked as stagnated by setting @@ -659,7 +656,7 @@

Derived types
-int converged[mep]
+int converged[mep]

Convergence status.

  • If converged[j]>0, the eigenpair (lambda[j], X[j]) converged @@ -674,7 +671,7 @@

    Derived types
    -double err_lambda[mep]
    +double err_lambda[mep]

    Estimated eigenvalue errors for converged and stagnated eigenvalues. This component is allocated by the routine.

    @@ -682,7 +679,7 @@

    Derived types
    -double err_x[mep]
    +double err_x[mep]

    Estimated eigenvector errors for converged and stagnated eigenvectors. This component is allocated by the routine.

    @@ -696,13 +693,13 @@

    Derived types
    -int iteration
    +int iteration

    Number of iterations.

    -double residual_norms[mep]
    +double residual_norms[mep]

    Euclidean norms of residuals for (lambda[:], X[:]) on return with rci.job=4, 5. This component is allocated by the routine.

    @@ -773,9 +770,9 @@

    Derived types -

    Examples

    +

    Examples

    -

    Preconditioning example

    +

    Preconditioning example

    The following code computes the 5 leftmost eigenpairs of the matrix \(A\) of order 100 that approximates the two-dimensional Laplacian operator on a 20-by-20 grid. One forward and one backward Gauss-Seidel @@ -999,9 +996,9 @@

    Preconditioning example

    -

    Method

    +

    Method

    -

    The algorithm

    +

    The algorithm

    The algorithm implemented by spral_ssmfe_double() and spral_ssmfe_largest_double() is based on the Jacobi-conjugate preconditioned gradients (JCPG) method. The @@ -1096,9 +1093,9 @@

    The algorithm\(Z\).

    -

    Error estimation

    +

    Error estimation

    -

    Standard problem

    +

    Standard problem

    If options.err_est = 1, the error estimates for the eigenvalues are based on the eigenvalues of a matrix of the form

    @@ -1158,7 +1155,7 @@

    Standard problem -

    Generalized problems

    +

    Generalized problems

    In the case of the generalized eigenvalue problem , all of the residual norms in the previous section must be replaced with \(\|\cdot\|_{B^{-1}}\)-norm of the residual @@ -1178,23 +1175,23 @@

    Generalized problems

    -

    References

    +

    References

    -void spral_ssmfe_expert_standard_shift_double(struct spral_ssmfe_rcid *rci, double sigma, int left, int right, int mep, double *lambda, int m, double *rr, int *ind, void **keep, const struct spral_ssmfe_options *options, struct spral_ssmfe_inform *inform)
    +void spral_ssmfe_expert_standard_shift_double(struct spral_ssmfe_rcid *rci, double sigma, int left, int right, int mep, double *lambda, int m, double *rr, int *ind, void **keep, const struct spral_ssmfe_options *options, struct spral_ssmfe_inform *inform)

    Computes eigenpairs of the standard eigenvalue problem

    \[Ax = \lambda x\]
    @@ -611,14 +608,14 @@

    Subroutines
    -void spral_ssmfe_expert_standard_shift_double_complex(struct spral_ssmfe_rciz *rci, double sigma, int left, int right, int mep, double *lambda, int m, double complex *rr, int *ind, void **keep, const struct spral_ssmfe_options *options, struct spral_ssmfe_inform *inform)
    +void spral_ssmfe_expert_standard_shift_double_complex(struct spral_ssmfe_rciz *rci, double sigma, int left, int right, int mep, double *lambda, int m, double complex *rr, int *ind, void **keep, const struct spral_ssmfe_options *options, struct spral_ssmfe_inform *inform)

    As spral_ssmfe_expert_standard_shift_double(), but types of rci, and rr changed to support type double complex.

    -void spral_ssmfe_expert_generalized_double(struct spral_ssmfe_rcid *rci, int left, int mep, double *lambda, int m, double *rr, int *ind, void **keep, const struct spral_ssmfe_options *options, struct spral_ssmfe_inform *inform)
    +void spral_ssmfe_expert_generalized_double(struct spral_ssmfe_rcid *rci, int left, int mep, double *lambda, int m, double *rr, int *ind, void **keep, const struct spral_ssmfe_options *options, struct spral_ssmfe_inform *inform)

    Computes the left-most eigenpairs of the generalized eigenvalue problem

    \[Ax = \lambda B x\]
    @@ -794,14 +791,14 @@

    Subroutines
    -void spral_ssmfe_expert_generalized_double_complex(struct spral_ssmfe_rciz *rci, int left, int mep, double *lambda, int m, double complex *rr, int *ind, void **keep, const struct spral_ssmfe_options *options, struct spral_ssmfe_inform *inform)
    +void spral_ssmfe_expert_generalized_double_complex(struct spral_ssmfe_rciz *rci, int left, int mep, double *lambda, int m, double complex *rr, int *ind, void **keep, const struct spral_ssmfe_options *options, struct spral_ssmfe_inform *inform)

    As spral_ssmfe_expert_generalized_double(), but types of rci and rr changed to support type double complex.

    -void spral_ssmfe_expert_generalized_shift_double(struct spral_ssmfe_rcid *rci, double sigma, int left, int right, int mep, double *lambda, int m, double *rr, int *ind, void **keep, const struct spral_ssmfe_options *options, struct spral_ssmfe_inform *inform)
    +void spral_ssmfe_expert_generalized_shift_double(struct spral_ssmfe_rcid *rci, double sigma, int left, int right, int mep, double *lambda, int m, double *rr, int *ind, void **keep, const struct spral_ssmfe_options *options, struct spral_ssmfe_inform *inform)

    Computes eigenpairs of the generalized eigenvalue problem

    \[Ax = \lambda B x\]
    @@ -976,14 +973,14 @@

    Subroutines
    -void spral_ssmfe_expert_generalized_shift_double_complex(struct spral_ssmfe_rciz *rci, double sigma, int left, int right, int mep, double *lambda, int m, double complex *rr, int *ind, void **keep, const struct spral_ssmfe_options *options, struct spral_ssmfe_inform *inform)
    +void spral_ssmfe_expert_generalized_shift_double_complex(struct spral_ssmfe_rciz *rci, double sigma, int left, int right, int mep, double *lambda, int m, double complex *rr, int *ind, void **keep, const struct spral_ssmfe_options *options, struct spral_ssmfe_inform *inform)

    As spral_ssmfe_expert_generalized_shift_double(), but types of rci, and rr changed to support type double complex.

    -void spral_ssmfe_expert_buckling_double(struct spral_ssmfe_rcid *rci, double sigma, int left, int right, int mep, double *lambda, int m, double *rr, int *ind, void **keep, const struct spral_ssmfe_options *options, struct spral_ssmfe_inform *inform)
    +void spral_ssmfe_expert_buckling_double(struct spral_ssmfe_rcid *rci, double sigma, int left, int right, int mep, double *lambda, int m, double *rr, int *ind, void **keep, const struct spral_ssmfe_options *options, struct spral_ssmfe_inform *inform)

    Computes the eigenpairs of the buckling problem

    \[Bx = \lambda A x\]
    @@ -1158,14 +1155,14 @@

    Subroutines
    -void spral_ssmfe_expert_buckling_double_complex(struct spral_ssmfe_rciz *rci, double sigma, int left, int right, int mep, double *lambda, int m, double complex *rr, int *ind, void **keep, const struct spral_ssmfe_options *options, struct spral_ssmfe_inform *inform)
    +void spral_ssmfe_expert_buckling_double_complex(struct spral_ssmfe_rciz *rci, double sigma, int left, int right, int mep, double *lambda, int m, double complex *rr, int *ind, void **keep, const struct spral_ssmfe_options *options, struct spral_ssmfe_inform *inform)

    As spral_ssmfe_expert_buckling_double(), but types of rci, and rr changed to support type double complex.

    -void spral_ssmfe_expert_free(void **keep, struct spral_ssmfe_inform *inform)
    +void spral_ssmfe_expert_free(void **keep, struct spral_ssmfe_inform *inform)

    Free memory allocated in keep and inform.

    Parameters:
    @@ -1184,7 +1181,7 @@

    Subroutines -

    Derived types

    +

    Derived types

    struct spral_ssmfe_rcid
    @@ -1197,13 +1194,13 @@

    Derived types
    -int jx
    +int jx

    First column of \(U\) in block.

    -int kx
    +int kx

    Block to which \(U\) belongs.

    @@ -1216,49 +1213,49 @@

    Derived types
    -int jy
    +int jy

    First column of \(V\) in block.

    -int ky
    +int ky

    Block to which \(V\) belongs.

    -int ny
    +int ny

    Number of columns in \(V\) and \(R\).

    -int i
    +int i

    First row of \(R\) in rr(:,:,:).

    -int j
    +int j

    First column of \(R\) in rr(:,:,:).

    -int k
    +int k

    Block of \(R\) in rr(:,:,:).

    -double alpha
    +double alpha

    Coefficient for matrix multiplication.

    -double beta
    +double beta

    Coefficient for matrix multiplication.

    @@ -1349,7 +1346,7 @@

    Derived types
    -double abs_tol_lambda
    +double abs_tol_lambda

    Absolute tolerance for estimated eigenvalue convergence test, see method section. Negative values are treated as the default. @@ -1622,20 +1619,20 @@

    Derived types
    -int left
    +int left

    Number of converged left eigenvalues.

    -double next_left
    +double next_left

    Upon completion, next left eigenvalue in spectrum (see options.left_gap).

    -double next_right
    +double next_right

    Upon completion, next right eigenvalue in spectrum (see options.right_gap).

    @@ -1650,13 +1647,13 @@

    Derived types
    -int non_converged
    +int non_converged

    Number of non-converged eigenpairs.

    -int right
    +int right

    Number of converged right eigenvalues.

    @@ -1735,9 +1732,9 @@

    Derived types -

    Examples

    +

    Examples

    -

    Preconditioning example

    +

    Preconditioning example

    The following code computes the 5 leftmost eigenpairs of the matrix \(A\) of order 100 that approximates the two-dimensional Laplacian operator on a 20-by-20 grid. One forward and one backward Gauss-Seidel @@ -1966,9 +1963,9 @@

    Preconditioning example

    -

    Method

    +

    Method

    -

    The algorithm

    +

    The algorithm

    The solver procedures of spral_ssmfe_expert are interfaces to solver procedures of spral_ssmfe_core, which implement a block iterative algorithm based on the Jacobi-conjugate preconditioned gradients method @@ -1977,7 +1974,7 @@

    The algorithmspral_ssmfe_core and in [1].

    -

    Stopping criteria

    +

    Stopping criteria

    An approximate eigenpair \(\{x,\lambda\}\) is considered to have converged if the following three conditions are all satisfied:

      @@ -2000,7 +1997,7 @@

      Stopping criteria -

      Improving eigenvector accuracy

      +

      Improving eigenvector accuracy

      If the gap between the last computed eigenvalue and the rest of the spectrum is small, then the accuracy of the corresponding eigenvector may be very low. To prevent this from happening, the user should set the @@ -2024,7 +2021,7 @@

      Improving eigenvector accuracy\(k - 1\).

    -

    The use of shifted matrix factorization

    +

    The use of shifted matrix factorization

    When using the solver procedures that employ the shift-and-invert technique, it is very important to ensure that the numbers of desired eigenvalues each side of the shift do not exceed the actual numbers of @@ -2043,9 +2040,9 @@

    The use of shifted matrix factorization -

    Error estimation

    +

    Error estimation

    -

    Standard problem

    +

    Standard problem

    If options.err_est=1, the error estimates for the eigenvalues are based on the eigenvalues of a matrix of the form

    @@ -2096,7 +2093,7 @@

    Standard problem -

    Generalized problem

    +

    Generalized problem

    In the case of the generalized eigenvalue problem solved by iterations with preconditioning, all of the residual norms in the previous section must be replaced with \(\|\cdot\|_{B^{-1}}\)-norm of the residual @@ -2122,23 +2119,23 @@

    Generalized problem -

    References

    +

    References

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100644 --- a/docs/_build/html/Fortran/_sources/install.rst.txt +++ b/docs/_build/html/Fortran/_sources/install.rst.txt @@ -162,7 +162,7 @@ the user documentation). If no paper is listed, a citation of the SPRAL GitHub website should be used, for example: - SPRAL: an open-source library for sparse linear algebra, Version 2024-05-08, ``_, May 2024. + SPRAL: an open-source library for sparse linear algebra, Version 2025-01-08, ``_, January 2025. Support ======= diff --git a/docs/_build/html/Fortran/_sources/scaling.rst.txt b/docs/_build/html/Fortran/_sources/scaling.rst.txt index 9f60334b..ca3b1265 100644 --- a/docs/_build/html/Fortran/_sources/scaling.rst.txt +++ b/docs/_build/html/Fortran/_sources/scaling.rst.txt @@ -79,7 +79,7 @@ Routines :p real cscaling(n) [out]: returns column scaling found by routine :p auction_options options [in]: controls behaviour of routine :p auction_inform inform [out]: returns information on execution of routine - :o integer match(n) [out]: returns matching found by routine. Row i is + :o integer match(m) [out]: returns matching found by routine. Row i is matched to column match(i), or is unmatched if match(i)=0. Data-types @@ -260,7 +260,7 @@ Routines .. f:subroutine:: equilib_scale_sym(n, ptr, row, val, scaling, options, inform) - Find a matching-based symmetric scaling using the norm-equilibration algorithm. + Find a symmetric scaling using the norm-equilibration algorithm. The scaled matrix is such that the infinity norm of each row and column are equal to :math:`1.0`. @@ -275,7 +275,7 @@ Routines .. f:subroutine:: equilib_scale_unsym(m, n, ptr, row, val, rscaling, cscaling, options, inform) - Find a matching-based unsymmetric scaling using the norm-equilibration algorithm. + Find an unsymmetric scaling using the norm-equilibration algorithm. The scaled matrix is such that the infinity norm of each row and column are equal to :math:`1.0`. @@ -417,7 +417,7 @@ Routines :p real cscaling(n) [out]: returns column scaling found by routine. :p hungarian_options options [in]: controls behaviour of routine. :p hungarian_inform inform [out]: returns information on execution of routine. - :o integer match(n) [out]: returns matching found by routine. Row i is + :o integer match(m) [out]: returns matching found by routine. Row i is matched to column match(i), or is unmatched if match(i)=0. Data-types diff --git a/docs/_build/html/Fortran/_static/basic.css b/docs/_build/html/Fortran/_static/basic.css index 7577acb1..7ebbd6d0 100644 --- a/docs/_build/html/Fortran/_static/basic.css +++ b/docs/_build/html/Fortran/_static/basic.css @@ -1,12 +1,5 @@ /* - * basic.css - * ~~~~~~~~~ - * * Sphinx stylesheet -- basic theme. - * - * :copyright: Copyright 2007-2023 by the Sphinx team, see AUTHORS. - * :license: BSD, see LICENSE for details. - * */ /* -- main layout ----------------------------------------------------------- */ @@ -115,15 +108,11 @@ img { /* -- search page ----------------------------------------------------------- */ ul.search { - margin: 10px 0 0 20px; - padding: 0; + margin-top: 10px; } ul.search li { - padding: 5px 0 5px 20px; - background-image: url(file.png); - background-repeat: no-repeat; - background-position: 0 7px; + padding: 5px 0; } ul.search li a { @@ -237,6 +226,10 @@ a.headerlink { visibility: hidden; } +a:visited { + color: #551A8B; +} + h1:hover > a.headerlink, h2:hover > a.headerlink, h3:hover > a.headerlink, @@ -670,6 +663,16 @@ dd { margin-left: 30px; } +.sig dd { + margin-top: 0px; + margin-bottom: 0px; +} + +.sig dl { + margin-top: 0px; + margin-bottom: 0px; +} + dl > dd:last-child, dl > dd:last-child > :last-child { margin-bottom: 0; @@ -738,6 +741,14 @@ abbr, acronym { cursor: help; } +.translated { + background-color: rgba(207, 255, 207, 0.2) +} + +.untranslated { + background-color: rgba(255, 207, 207, 0.2) +} + /* -- code displays --------------------------------------------------------- */ pre { diff --git a/docs/_build/html/Fortran/_static/css/badge_only.css b/docs/_build/html/Fortran/_static/css/badge_only.css index c718cee4..88ba55b9 100644 --- a/docs/_build/html/Fortran/_static/css/badge_only.css +++ b/docs/_build/html/Fortran/_static/css/badge_only.css @@ -1 +1 @@ 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(!config.projects.translations.length) { + return ""; + } + + // Insert the current language to the options on the selector + let languages = config.projects.translations.concat(config.projects.current); + languages = languages.sort((a, b) => a.language.name.localeCompare(b.language.name)); + + const languagesHTML = ` +
    +
    Languages
    + ${languages + .map( + (translation) => ` +
    + ${translation.language.code} +
    + `, + ) + .join("\n")} +
    + `; + return languagesHTML; + } + + function renderVersions(config) { + if (!config.versions.active.length) { + return ""; + } + const versionsHTML = ` +
    +
    Versions
    + ${config.versions.active + .map( + (version) => ` +
    + ${version.slug} +
    + `, + ) + .join("\n")} +
    + `; + return versionsHTML; + } + + function renderDownloads(config) { + if (!Object.keys(config.versions.current.downloads).length) { + return ""; + } + const downloadsNameDisplay = { + pdf: "PDF", + epub: "Epub", + htmlzip: "HTML", + }; + + const downloadsHTML = ` +
    +
    Downloads
    + ${Object.entries(config.versions.current.downloads) + .map( + ([name, url]) => ` +
    + ${downloadsNameDisplay[name]} +
    + `, + ) + .join("\n")} +
    + `; + return downloadsHTML; + } + + document.addEventListener("readthedocs-addons-data-ready", function (event) { + const config = event.detail.data(); + + const flyout = ` +
    + + Read the Docs + v: ${config.versions.current.slug} + + +
    +
    + ${renderLanguages(config)} + ${renderVersions(config)} + ${renderDownloads(config)} +
    +
    On Read the Docs
    +
    + Project Home +
    +
    + Builds +
    +
    + Downloads +
    +
    +
    +
    Search
    +
    + + + +
    +
    +
    + + Hosted by Read the Docs + +
    +
    + `; + + // Inject the generated flyout into the body HTML element. + document.body.insertAdjacentHTML("beforeend", flyout); + + // Trigger the Read the Docs Addons Search modal when clicking on the "Search docs" input from inside the flyout. + document + .querySelector("#flyout-search-form") + .addEventListener("focusin", () => { + const event = new CustomEvent("readthedocs-search-show"); + document.dispatchEvent(event); + }); + }) +} + +if (themeLanguageSelector || themeVersionSelector) { + function onSelectorSwitch(event) { + const option = event.target.selectedIndex; + const item = event.target.options[option]; + window.location.href = item.dataset.url; + } + + document.addEventListener("readthedocs-addons-data-ready", function (event) { + const config = event.detail.data(); + + const versionSwitch = document.querySelector( + "div.switch-menus > div.version-switch", + ); + if (themeVersionSelector) { + let versions = config.versions.active; + if (config.versions.current.hidden || config.versions.current.type === "external") { + versions.unshift(config.versions.current); + } + const versionSelect = ` + + `; + + versionSwitch.innerHTML = versionSelect; + versionSwitch.firstElementChild.addEventListener("change", onSelectorSwitch); + } + + const languageSwitch = document.querySelector( + "div.switch-menus > div.language-switch", + ); + + if (themeLanguageSelector) { + if (config.projects.translations.length) { + // Add the current language to the options on the selector + let languages = config.projects.translations.concat( + config.projects.current, + ); + languages = languages.sort((a, b) => + a.language.name.localeCompare(b.language.name), + ); + + const languageSelect = ` + + `; + + languageSwitch.innerHTML = languageSelect; + languageSwitch.firstElementChild.addEventListener("change", onSelectorSwitch); + } + else { + languageSwitch.remove(); + } + } + }); +} + +document.addEventListener("readthedocs-addons-data-ready", function (event) { + // Trigger the Read the Docs Addons Search modal when clicking on "Search docs" input from the topnav. + document + .querySelector("[role='search'] input") + .addEventListener("focusin", () => { + const event = new CustomEvent("readthedocs-search-show"); + document.dispatchEvent(event); + }); +}); \ No newline at end of file diff --git a/docs/_build/html/Fortran/_static/language_data.js b/docs/_build/html/Fortran/_static/language_data.js index 250f5665..c7fe6c6f 100644 --- a/docs/_build/html/Fortran/_static/language_data.js +++ b/docs/_build/html/Fortran/_static/language_data.js @@ -1,19 +1,12 @@ /* - * language_data.js - * ~~~~~~~~~~~~~~~~ - * * This script contains the language-specific data used by searchtools.js, * namely the list of stopwords, stemmer, scorer and splitter. - * - * :copyright: Copyright 2007-2023 by the Sphinx team, see AUTHORS. - * :license: BSD, see LICENSE for details. - * */ var stopwords = ["a", "and", "are", "as", "at", "be", "but", "by", "for", "if", "in", "into", "is", "it", "near", "no", "not", "of", "on", "or", "such", "that", "the", "their", "then", "there", "these", "they", "this", "to", "was", "will", "with"]; -/* Non-minified version is copied as a separate JS file, is available */ +/* Non-minified version is copied as a separate JS file, if available */ /** * Porter Stemmer diff --git a/docs/_build/html/Fortran/_static/searchtools.js b/docs/_build/html/Fortran/_static/searchtools.js index 97d56a74..2c774d17 100644 --- a/docs/_build/html/Fortran/_static/searchtools.js +++ b/docs/_build/html/Fortran/_static/searchtools.js @@ -1,12 +1,5 @@ /* - * searchtools.js - * ~~~~~~~~~~~~~~~~ - * * Sphinx JavaScript utilities for the full-text search. - * - * :copyright: Copyright 2007-2023 by the Sphinx team, see AUTHORS. - * :license: BSD, see LICENSE for details. - * */ "use strict"; @@ -20,7 +13,7 @@ if (typeof Scorer === "undefined") { // and returns the new score. /* score: result => { - const [docname, title, anchor, descr, score, filename] = result + const [docname, title, anchor, descr, score, filename, kind] = result return score }, */ @@ -47,6 +40,14 @@ if (typeof Scorer === "undefined") { }; } +// Global search result kind enum, used by themes to style search results. +class SearchResultKind { + static get index() { return "index"; } + static get object() { return "object"; } + static get text() { return "text"; } + static get title() { return "title"; } +} + const _removeChildren = (element) => { while (element && element.lastChild) element.removeChild(element.lastChild); }; @@ -57,16 +58,20 @@ const _removeChildren = (element) => { const _escapeRegExp = (string) => string.replace(/[.*+\-?^${}()|[\]\\]/g, "\\$&"); // $& means the whole matched string -const _displayItem = (item, searchTerms) => { +const _displayItem = (item, searchTerms, highlightTerms) => { const docBuilder = DOCUMENTATION_OPTIONS.BUILDER; - const docUrlRoot = DOCUMENTATION_OPTIONS.URL_ROOT; const docFileSuffix = DOCUMENTATION_OPTIONS.FILE_SUFFIX; const docLinkSuffix = DOCUMENTATION_OPTIONS.LINK_SUFFIX; const showSearchSummary = DOCUMENTATION_OPTIONS.SHOW_SEARCH_SUMMARY; + const contentRoot = document.documentElement.dataset.content_root; - const [docName, title, anchor, descr, score, _filename] = item; + const [docName, title, anchor, descr, score, _filename, kind] = item; let listItem = document.createElement("li"); + // Add a class representing the item's type: + // can be used by a theme's CSS selector for styling + // See SearchResultKind for the class names. + listItem.classList.add(`kind-${kind}`); let requestUrl; let linkUrl; if (docBuilder === "dirhtml") { @@ -75,28 +80,35 @@ const _displayItem = (item, searchTerms) => { if (dirname.match(/\/index\/$/)) dirname = dirname.substring(0, dirname.length - 6); else if (dirname === "index/") dirname = ""; - requestUrl = docUrlRoot + dirname; + requestUrl = contentRoot + dirname; linkUrl = requestUrl; } else { // normal html builders - requestUrl = docUrlRoot + docName + docFileSuffix; + requestUrl = contentRoot + docName + docFileSuffix; linkUrl = docName + docLinkSuffix; } let linkEl = listItem.appendChild(document.createElement("a")); linkEl.href = linkUrl + anchor; linkEl.dataset.score = score; linkEl.innerHTML = title; - if (descr) + if (descr) { listItem.appendChild(document.createElement("span")).innerHTML = " (" + descr + ")"; + // highlight search terms in the description + if (SPHINX_HIGHLIGHT_ENABLED) // set in sphinx_highlight.js + highlightTerms.forEach((term) => _highlightText(listItem, term, "highlighted")); + } else if (showSearchSummary) fetch(requestUrl) .then((responseData) => responseData.text()) .then((data) => { if (data) listItem.appendChild( - Search.makeSearchSummary(data, searchTerms) + Search.makeSearchSummary(data, searchTerms, anchor) ); + // highlight search terms in the summary + if (SPHINX_HIGHLIGHT_ENABLED) // set in sphinx_highlight.js + highlightTerms.forEach((term) => _highlightText(listItem, term, "highlighted")); }); Search.output.appendChild(listItem); }; @@ -108,27 +120,46 @@ const _finishSearch = (resultCount) => { "Your search did not match any documents. Please make sure that all words are spelled correctly and that you've selected enough categories." ); else - Search.status.innerText = _( - `Search finished, found ${resultCount} page(s) matching the search query.` - ); + Search.status.innerText = Documentation.ngettext( + "Search finished, found one page matching the search query.", + "Search finished, found ${resultCount} pages matching the search query.", + resultCount, + ).replace('${resultCount}', resultCount); }; const _displayNextItem = ( results, resultCount, - searchTerms + searchTerms, + highlightTerms, ) => { // results left, load the summary and display it // this is intended to be dynamic (don't sub resultsCount) if (results.length) { - _displayItem(results.pop(), searchTerms); + _displayItem(results.pop(), searchTerms, highlightTerms); setTimeout( - () => _displayNextItem(results, resultCount, searchTerms), + () => _displayNextItem(results, resultCount, searchTerms, highlightTerms), 5 ); } // search finished, update title and status message else _finishSearch(resultCount); }; +// Helper function used by query() to order search results. +// Each input is an array of [docname, title, anchor, descr, score, filename, kind]. +// Order the results by score (in opposite order of appearance, since the +// `_displayNextItem` function uses pop() to retrieve items) and then alphabetically. +const _orderResultsByScoreThenName = (a, b) => { + const leftScore = a[4]; + const rightScore = b[4]; + if (leftScore === rightScore) { + // same score: sort alphabetically + const leftTitle = a[1].toLowerCase(); + const rightTitle = b[1].toLowerCase(); + if (leftTitle === rightTitle) return 0; + return leftTitle > rightTitle ? -1 : 1; // inverted is intentional + } + return leftScore > rightScore ? 1 : -1; +}; /** * Default splitQuery function. Can be overridden in ``sphinx.search`` with a @@ -152,13 +183,26 @@ const Search = { _queued_query: null, _pulse_status: -1, - htmlToText: (htmlString) => { + htmlToText: (htmlString, anchor) => { const htmlElement = new DOMParser().parseFromString(htmlString, 'text/html'); - htmlElement.querySelectorAll(".headerlink").forEach((el) => { el.remove() }); + for (const removalQuery of [".headerlink", "script", "style"]) { + htmlElement.querySelectorAll(removalQuery).forEach((el) => { el.remove() }); + } + if (anchor) { + const anchorContent = htmlElement.querySelector(`[role="main"] ${anchor}`); + if (anchorContent) return anchorContent.textContent; + + console.warn( + `Anchored content block not found. Sphinx search tries to obtain it via DOM query '[role=main] ${anchor}'. Check your theme or template.` + ); + } + + // if anchor not specified or not found, fall back to main content const docContent = htmlElement.querySelector('[role="main"]'); - if (docContent !== undefined) return docContent.textContent; + if (docContent) return docContent.textContent; + console.warn( - "Content block not found. Sphinx search tries to obtain it via '[role=main]'. Could you check your theme or template." + "Content block not found. Sphinx search tries to obtain it via DOM query '[role=main]'. Check your theme or template." ); return ""; }, @@ -211,6 +255,7 @@ const Search = { searchSummary.classList.add("search-summary"); searchSummary.innerText = ""; const searchList = document.createElement("ul"); + searchList.setAttribute("role", "list"); searchList.classList.add("search"); const out = document.getElementById("search-results"); @@ -231,16 +276,7 @@ const Search = { else Search.deferQuery(query); }, - /** - * execute search (requires search index to be loaded) - */ - query: (query) => { - const filenames = Search._index.filenames; - const docNames = Search._index.docnames; - const titles = Search._index.titles; - const allTitles = Search._index.alltitles; - const indexEntries = Search._index.indexentries; - + _parseQuery: (query) => { // stem the search terms and add them to the correct list const stemmer = new Stemmer(); const searchTerms = new Set(); @@ -276,22 +312,40 @@ const Search = { // console.info("required: ", [...searchTerms]); // console.info("excluded: ", [...excludedTerms]); - // array of [docname, title, anchor, descr, score, filename] - let results = []; + return [query, searchTerms, excludedTerms, highlightTerms, objectTerms]; + }, + + /** + * execute search (requires search index to be loaded) + */ + _performSearch: (query, searchTerms, excludedTerms, highlightTerms, objectTerms) => { + const filenames = Search._index.filenames; + const docNames = Search._index.docnames; + const titles = Search._index.titles; + const allTitles = Search._index.alltitles; + const indexEntries = Search._index.indexentries; + + // Collect multiple result groups to be sorted separately and then ordered. + // Each is an array of [docname, title, anchor, descr, score, filename, kind]. + const normalResults = []; + const nonMainIndexResults = []; + _removeChildren(document.getElementById("search-progress")); - const queryLower = query.toLowerCase(); + const queryLower = query.toLowerCase().trim(); for (const [title, foundTitles] of Object.entries(allTitles)) { - if (title.toLowerCase().includes(queryLower) && (queryLower.length >= title.length/2)) { + if (title.toLowerCase().trim().includes(queryLower) && (queryLower.length >= title.length/2)) { for (const [file, id] of foundTitles) { - let score = Math.round(100 * queryLower.length / title.length) - results.push([ + const score = Math.round(Scorer.title * queryLower.length / title.length); + const boost = titles[file] === title ? 1 : 0; // add a boost for document titles + normalResults.push([ docNames[file], titles[file] !== title ? `${titles[file]} > ${title}` : title, id !== null ? "#" + id : "", null, - score, + score + boost, filenames[file], + SearchResultKind.title, ]); } } @@ -300,46 +354,48 @@ const Search = { // search for explicit entries in index directives for (const [entry, foundEntries] of Object.entries(indexEntries)) { if (entry.includes(queryLower) && (queryLower.length >= entry.length/2)) { - for (const [file, id] of foundEntries) { - let score = Math.round(100 * queryLower.length / entry.length) - results.push([ + for (const [file, id, isMain] of foundEntries) { + const score = Math.round(100 * queryLower.length / entry.length); + const result = [ docNames[file], titles[file], id ? "#" + id : "", null, score, filenames[file], - ]); + SearchResultKind.index, + ]; + if (isMain) { + normalResults.push(result); + } else { + nonMainIndexResults.push(result); + } } } } // lookup as object objectTerms.forEach((term) => - results.push(...Search.performObjectSearch(term, objectTerms)) + normalResults.push(...Search.performObjectSearch(term, objectTerms)) ); // lookup as search terms in fulltext - results.push(...Search.performTermsSearch(searchTerms, excludedTerms)); + normalResults.push(...Search.performTermsSearch(searchTerms, excludedTerms)); // let the scorer override scores with a custom scoring function - if (Scorer.score) results.forEach((item) => (item[4] = Scorer.score(item))); - - // now sort the results by score (in opposite order of appearance, since the - // display function below uses pop() to retrieve items) and then - // alphabetically - results.sort((a, b) => { - const leftScore = a[4]; - const rightScore = b[4]; - if (leftScore === rightScore) { - // same score: sort alphabetically - const leftTitle = a[1].toLowerCase(); - const rightTitle = b[1].toLowerCase(); - if (leftTitle === rightTitle) return 0; - return leftTitle > rightTitle ? -1 : 1; // inverted is intentional - } - return leftScore > rightScore ? 1 : -1; - }); + if (Scorer.score) { + normalResults.forEach((item) => (item[4] = Scorer.score(item))); + nonMainIndexResults.forEach((item) => (item[4] = Scorer.score(item))); + } + + // Sort each group of results by score and then alphabetically by name. + normalResults.sort(_orderResultsByScoreThenName); + nonMainIndexResults.sort(_orderResultsByScoreThenName); + + // Combine the result groups in (reverse) order. + // Non-main index entries are typically arbitrary cross-references, + // so display them after other results. + let results = [...nonMainIndexResults, ...normalResults]; // remove duplicate search results // note the reversing of results, so that in the case of duplicates, the highest-scoring entry is kept @@ -353,14 +409,19 @@ const Search = { return acc; }, []); - results = results.reverse(); + return results.reverse(); + }, + + query: (query) => { + const [searchQuery, searchTerms, excludedTerms, highlightTerms, objectTerms] = Search._parseQuery(query); + const results = Search._performSearch(searchQuery, searchTerms, excludedTerms, highlightTerms, objectTerms); // for debugging //Search.lastresults = results.slice(); // a copy // console.info("search results:", Search.lastresults); // print the results - _displayNextItem(results, results.length, searchTerms); + _displayNextItem(results, results.length, searchTerms, highlightTerms); }, /** @@ -424,6 +485,7 @@ const Search = { descr, score, filenames[match[0]], + SearchResultKind.object, ]); }; Object.keys(objects).forEach((prefix) => @@ -458,14 +520,18 @@ const Search = { // add support for partial matches if (word.length > 2) { const escapedWord = _escapeRegExp(word); - Object.keys(terms).forEach((term) => { - if (term.match(escapedWord) && !terms[word]) - arr.push({ files: terms[term], score: Scorer.partialTerm }); - }); - Object.keys(titleTerms).forEach((term) => { - if (term.match(escapedWord) && !titleTerms[word]) - arr.push({ files: titleTerms[word], score: Scorer.partialTitle }); - }); + if (!terms.hasOwnProperty(word)) { + Object.keys(terms).forEach((term) => { + if (term.match(escapedWord)) + arr.push({ files: terms[term], score: Scorer.partialTerm }); + }); + } + if (!titleTerms.hasOwnProperty(word)) { + Object.keys(titleTerms).forEach((term) => { + if (term.match(escapedWord)) + arr.push({ files: titleTerms[term], score: Scorer.partialTitle }); + }); + } } // no match but word was a required one @@ -488,9 +554,8 @@ const Search = { // create the mapping files.forEach((file) => { - if (fileMap.has(file) && fileMap.get(file).indexOf(word) === -1) - fileMap.get(file).push(word); - else fileMap.set(file, [word]); + if (!fileMap.has(file)) fileMap.set(file, [word]); + else if (fileMap.get(file).indexOf(word) === -1) fileMap.get(file).push(word); }); }); @@ -531,6 +596,7 @@ const Search = { null, score, filenames[file], + SearchResultKind.text, ]); } return results; @@ -541,8 +607,8 @@ const Search = { * search summary for a given text. keywords is a list * of stemmed words. */ - makeSearchSummary: (htmlText, keywords) => { - const text = Search.htmlToText(htmlText); + makeSearchSummary: (htmlText, keywords, anchor) => { + const text = Search.htmlToText(htmlText, anchor); if (text === "") return null; const textLower = text.toLowerCase(); diff --git a/docs/_build/html/Fortran/_static/sphinx_highlight.js b/docs/_build/html/Fortran/_static/sphinx_highlight.js index aae669d7..8a96c69a 100644 --- a/docs/_build/html/Fortran/_static/sphinx_highlight.js +++ b/docs/_build/html/Fortran/_static/sphinx_highlight.js @@ -29,14 +29,19 @@ const _highlight = (node, addItems, text, className) => { } span.appendChild(document.createTextNode(val.substr(pos, text.length))); + const rest = document.createTextNode(val.substr(pos + text.length)); parent.insertBefore( span, parent.insertBefore( - document.createTextNode(val.substr(pos + text.length)), + rest, node.nextSibling ) ); node.nodeValue = val.substr(0, pos); + /* There may be more occurrences of search term in this node. So call this + * function recursively on the remaining fragment. + */ + _highlight(rest, addItems, text, className); if (isInSVG) { const rect = document.createElementNS( @@ -140,5 +145,10 @@ const SphinxHighlight = { }, }; -_ready(SphinxHighlight.highlightSearchWords); -_ready(SphinxHighlight.initEscapeListener); +_ready(() => { + /* Do not call highlightSearchWords() when we are on the search page. + * It will highlight words from the *previous* search query. + */ + if (typeof Search === "undefined") SphinxHighlight.highlightSearchWords(); + SphinxHighlight.initEscapeListener(); +}); diff --git a/docs/_build/html/Fortran/conventions.html b/docs/_build/html/Fortran/conventions.html index 87781636..5fe731bf 100644 --- a/docs/_build/html/Fortran/conventions.html +++ b/docs/_build/html/Fortran/conventions.html @@ -1,23 +1,23 @@ + + - + - + - Data types and conventions — spral v2024-05-08 [Fortran] documentation - - - - - + Data types and conventions — spral v2025-01-08 [Fortran] documentation + + + + - - - - - + + + + + + @@ -37,9 +37,6 @@ spral -
    - v2024-05-08 [Fortran] -
    @@ -98,9 +95,9 @@
    -

    Data types and conventions

    +

    Data types and conventions

    -

    Data types

    +

    Data types

    In this documentation, we use:

    Built with Sphinx using a diff --git a/docs/_build/html/Fortran/coord_format.html b/docs/_build/html/Fortran/coord_format.html index 060f0a1f..8c831e97 100644 --- a/docs/_build/html/Fortran/coord_format.html +++ b/docs/_build/html/Fortran/coord_format.html @@ -1,24 +1,24 @@ + + - + - + - Coordinate (Coord) Format — spral v2024-05-08 [Fortran] documentation - - - - - + Coordinate (Coord) Format — spral v2025-01-08 [Fortran] documentation + + + + - - - - - - + + + + + + + @@ -38,9 +38,6 @@ spral -
    - v2024-05-08 [Fortran] -
    @@ -95,7 +92,7 @@
    -

    Coordinate (Coord) Format

    +

    Coordinate (Coord) Format

    This standard data format consists of the following data:

    integer           :: m     ! number of rows (unsymmetric only)
     integer           :: n     ! number of columns
    @@ -145,7 +142,7 @@ 

    Coordinate (Coord) Format -

    © Copyright 2024, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

    +

    © Copyright 2025, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

    Built with Sphinx using a diff --git a/docs/_build/html/Fortran/csc_format.html b/docs/_build/html/Fortran/csc_format.html index d12fbb0b..abec29fc 100644 --- a/docs/_build/html/Fortran/csc_format.html +++ b/docs/_build/html/Fortran/csc_format.html @@ -1,24 +1,24 @@ + + - + - + - Compressed Sparse Column (CSC) Format — spral v2024-05-08 [Fortran] documentation - - - - - + Compressed Sparse Column (CSC) Format — spral v2025-01-08 [Fortran] documentation + + + + - - - - - - + + + + + + + @@ -38,9 +38,6 @@ spral -
    - v2024-05-08 [Fortran] -
    @@ -95,7 +92,7 @@
    -

    Compressed Sparse Column (CSC) Format

    +

    Compressed Sparse Column (CSC) Format

    This standard data format consists of the following data:

    integer                   :: m      ! number of rows (unsymmetric only)
     integer                   :: n      ! number of columns
    @@ -149,7 +146,7 @@ 

    Compressed Sparse Column (CSC) Format -

    © Copyright 2024, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

    +

    © Copyright 2025, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

    Built with Sphinx using a diff --git a/docs/_build/html/Fortran/f-modindex.html b/docs/_build/html/Fortran/f-modindex.html index 4adc4132..e2605818 100644 --- a/docs/_build/html/Fortran/f-modindex.html +++ b/docs/_build/html/Fortran/f-modindex.html @@ -1,22 +1,22 @@ + + - + - Fortran Module Index — spral v2024-05-08 [Fortran] documentation - - - - - + Fortran Module Index — spral v2025-01-08 [Fortran] documentation + + + + - - - - - + + + + + + @@ -41,9 +41,6 @@ spral -
    - v2024-05-08 [Fortran] -
    @@ -162,7 +159,7 @@

    Fortran Module Index


    -

    © Copyright 2024, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

    +

    © Copyright 2025, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

    Built with Sphinx using a diff --git a/docs/_build/html/Fortran/genindex.html b/docs/_build/html/Fortran/genindex.html index cf08ec6b..3e7de47a 100644 --- a/docs/_build/html/Fortran/genindex.html +++ b/docs/_build/html/Fortran/genindex.html @@ -1,22 +1,22 @@ + + - + - Index — spral v2024-05-08 [Fortran] documentation - - - - - + Index — spral v2025-01-08 [Fortran] documentation + + + + - - - - - + + + + + + @@ -34,9 +34,6 @@ spral -
    - v2024-05-08 [Fortran] -
    @@ -284,7 +281,7 @@

    S


    -

    © Copyright 2024, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

    +

    © Copyright 2025, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

    Built with Sphinx using a diff --git a/docs/_build/html/Fortran/index.html b/docs/_build/html/Fortran/index.html index 3f044523..37be47c9 100644 --- a/docs/_build/html/Fortran/index.html +++ b/docs/_build/html/Fortran/index.html @@ -1,23 +1,24 @@ + + - + - + - The Sparse Parallel Robust Algorithms Library — spral v2024-05-08 [Fortran] documentation - - - - - + The Sparse Parallel Robust Algorithms Library — spral v2025-01-08 [Fortran] documentation + + + + - - - - - + + + + + + + @@ -36,9 +37,6 @@ spral -
    - v2024-05-08 [Fortran] -
    @@ -93,7 +91,7 @@
    -

    The Sparse Parallel Robust Algorithms Library

    +

    The Sparse Parallel Robust Algorithms Library

    Introduction

    Built with Sphinx using a diff --git a/docs/_build/html/Fortran/install.html b/docs/_build/html/Fortran/install.html index 8fccfe3a..f82c4ea6 100644 --- a/docs/_build/html/Fortran/install.html +++ b/docs/_build/html/Fortran/install.html @@ -1,23 +1,23 @@ + + - + - + - Installation — spral v2024-05-08 [Fortran] documentation - - - - - + Installation — spral v2025-01-08 [Fortran] documentation + + + + - - - - - + + + + + + @@ -37,9 +37,6 @@ spral -
    - v2024-05-08 [Fortran] -
    @@ -114,9 +111,9 @@
    -

    Installation

    +

    Installation

    -

    Building with Meson:

    +

    Building with Meson:

    We now support building with the Meson Build system. Under Linux, or macOS, or Windows:

    # Setup SPRAL
    @@ -133,7 +130,7 @@ 

    Building with Meson:

    -

    Options to meson

    +

    Options to meson

    In particular, the following options may be of interest:

    • --prefix=PREFIX specifies the installation path prefix (by default @@ -150,7 +147,7 @@

      Options to meso

    -

    Building with Autotools:

    +

    Building with Autotools:

    Under Linux, or macOS:

    # Get latest development version from github and run dev scripts
     git clone --depth=1 https://github.com/ralna/spral.git
    @@ -170,7 +167,7 @@ 

    Building with Autotools: -

    Notes

    +

    Notes

    • The above instructions perform an out-of-path build: we recommend you change the value of $BUILDDIR to reflect the compiler used, for @@ -183,9 +180,9 @@

      Notes

    -

    Third-party libraries

    +

    Third-party libraries

    -

    METIS

    +

    METIS

    Many of our packages use the METIS graph partitioning library to find good orderings. You can obtain a copy of METIS from http://www.cs.umn.edu/~metis. @@ -200,7 +197,7 @@

    METIS

    -

    BLAS

    +

    BLAS

    Many of our packages require a high performance BLAS library to efficiently perform dense linear algebra operations. For best performance, please use the library recommended by your computer manufacturer (normally the Intel MKL). @@ -219,7 +216,7 @@

    BLAS

    -

    Compilers and compiler options

    +

    Compilers and compiler options

    If no compiler is specified, configure will pick a default compiler to use. If configure cannot find an appropriate compiler, or you wish to specify a different compiler you can do so by setting the following @@ -247,7 +244,7 @@

    Compilers and compiler options -

    Other options to configure

    +

    Other options to configure

    The configure script is generated by autoconf, and hence offers many standard options that can be listed using the command configure --help.

    @@ -259,7 +256,7 @@

    Other options to configure -

    Citing SPRAL or SSIDS

    +

    Citing SPRAL or SSIDS

    If you write a paper using software from SPRAL, please cite an appropriate paper (a list can usually be found in the method section of the user documentation).

    @@ -269,16 +266,16 @@

    Citing SPRAL or SSIDS

    If no paper is listed, a citation of the SPRAL GitHub website should be used, for example:

    -

    SPRAL: an open-source library for sparse linear algebra, Version 2024-05-08, http://www.numerical.rl.ac.uk/spral, May 2024.

    +

    SPRAL: an open-source library for sparse linear algebra, Version 2025-01-08, http://www.numerical.rl.ac.uk/spral, January 2025.

    -

    Support

    +

    Support

    Feeback may be sent to hsl@stfc.ac.uk or by filing an issue on our github: https://github.com/ralna/spral/issues.

    -

    Licence

    +

    Licence

    Copyright (c) 2014-2023, The Science and Technology Facilities Council (STFC) All rights reserved.

    Redistribution and use in source and binary forms, with or without @@ -317,7 +314,7 @@

    Licence -

    © Copyright 2024, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

    +

    © Copyright 2025, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

    Built with Sphinx using a diff --git a/docs/_build/html/Fortran/lsmr.html b/docs/_build/html/Fortran/lsmr.html index 0c4ac168..651bae96 100644 --- a/docs/_build/html/Fortran/lsmr.html +++ b/docs/_build/html/Fortran/lsmr.html @@ -1,24 +1,24 @@ + + - + - + - spral_lsmr - Sparse Least Squares LSMR Solver — spral v2024-05-08 [Fortran] documentation - - - - - + spral_lsmr - Sparse Least Squares LSMR Solver — spral v2025-01-08 [Fortran] documentation + + + + - - - - - - + + + + + + + @@ -38,9 +38,6 @@ spral -
    - v2024-05-08 [Fortran] -
    @@ -111,10 +108,10 @@
    -
    -

    spral_lsmr - Sparse Least Squares LSMR Solver

    +
    +

    spral_lsmr - Sparse Least Squares LSMR Solver

    -

    Purpose

    +

    Purpose

    This package uses the LSMR iterative method to solve sparse linear equations and sparse least-squares problems of the form:

    @@ -152,7 +149,7 @@

    Purpose\(((AP)^T(AP)+\lambda^2I)y=(AP)^Tb\)), but has better numerical properties, especially if \(A\) is ill-conditioned.

    -

    Notation

    +

    Notation

    In the rest of this documentation, we use the following notation:

    \[\begin{split}\bar{A} = \left( \begin{array}{c} @@ -168,7 +165,7 @@

    Notation -

    Version history

    +

    Version history

    2016-05-10 Version 1.0.0.

    Initial release.

    @@ -177,10 +174,10 @@

    Version history -

    Subroutines

    +

    Subroutines

    -subroutine  lsmr_solve(action, m, n, u, v, y, keep, options, inform[, damp])
    +subroutine  lsmr_solve(action, m, n, u, v, y, keep, options, inform[, damp])

    Solve the least squares problem. Uses reverse communication. Upon return the user must perform a task specified by the action parameter and recall the routine. Possible values of action and associated tasks are:

    @@ -241,7 +238,7 @@

    Subroutines -subroutine  lsmr_free(keep, stat) +subroutine  lsmr_free(keep, stat)

    Free memory allocated in keep (unnecessary if keep is going out of scope).

    @@ -262,10 +259,10 @@

    Subroutines -

    Derived types

    +

    Derived types

    -type  lsmr_options
    +type  lsmr_options

    Specify options used by LSMR algorithm.

    Type fields:
    @@ -320,7 +317,7 @@

    Derived types -type  lsmr_inform +type  lsmr_inform

    Information about progress of algorithm.

    Type fields:
    @@ -420,7 +417,7 @@

    Derived types -

    Example

    +

    Example

    The following code illustrates the use of LMSR

    ! examples/Fortran/lsmr.f90 - Example code for SPRAL_LSMR package
     program spral_lsmr_example
    @@ -544,9 +541,9 @@ 

    Example -

    Method

    +

    Method

    -

    Algorithm

    +

    Algorithm

    The method used is based on the Golub-Kahan bidiagonalization process. It is algebraically equivalent to applying MINRES to the normal equation \((A^TA+\lambda^2I)x=A^Tb\) (or \(((AP)^T(AP)+\lambda^2I)y=(AP)^Tb\), @@ -555,7 +552,7 @@

    Algorithm[1].

    -

    Scaling

    +

    Scaling

    LSMR uses an iterative method to approximate the solution. The number of iterations required to reach a certain accuracy depends strongly on the scaling of the problem. Poor scaling of the rows or columns of @@ -577,7 +574,7 @@

    Scaling -

    Initial estimate

    +

    Initial estimate

    Note that \(x\) (or \(y\) for the preconditioned problem) is not an input parameter. If some initial estimate \(x_0\) of \(x\) is known and if \(\lambda = 0\), one could proceed as follows:

    @@ -602,9 +599,9 @@

    Initial estimate\(A \delta x = r_0\).

    -

    References

    +

    References

    Built with Sphinx using a diff --git a/docs/_build/html/Fortran/matrix_util.html b/docs/_build/html/Fortran/matrix_util.html index 5ee78740..fd030d14 100644 --- a/docs/_build/html/Fortran/matrix_util.html +++ b/docs/_build/html/Fortran/matrix_util.html @@ -1,24 +1,24 @@ + + - + - + - spral_matrix_util - Matrix utilities — spral v2024-05-08 [Fortran] documentation - - - - - + spral_matrix_util - Matrix utilities — spral v2025-01-08 [Fortran] documentation + + + + - - - - - - + + + + + + + @@ -38,9 +38,6 @@ spral -
    - v2024-05-08 [Fortran] -
    @@ -101,10 +98,10 @@
    -
    -

    spral_matrix_util - Matrix utilities

    +
    +

    spral_matrix_util - Matrix utilities

    -

    Purpose

    +

    Purpose

    This packages contains assorted utility routines and datatypes for:
    Built with Sphinx using a diff --git a/docs/_build/html/Fortran/objects.inv b/docs/_build/html/Fortran/objects.inv index 1ad00591..8ece138c 100644 Binary files a/docs/_build/html/Fortran/objects.inv and b/docs/_build/html/Fortran/objects.inv differ diff --git a/docs/_build/html/Fortran/random.html b/docs/_build/html/Fortran/random.html index 31a1aaad..092c6e45 100644 --- a/docs/_build/html/Fortran/random.html +++ b/docs/_build/html/Fortran/random.html @@ -1,24 +1,24 @@ + + - + - + - spral_random - Pseudo-random number generator — spral v2024-05-08 [Fortran] documentation - - - - - + spral_random - Pseudo-random number generator — spral v2025-01-08 [Fortran] documentation + + + + - - - - - - + + + + + + + @@ -38,9 +38,6 @@ spral -
    - v2024-05-08 [Fortran] -
    @@ -113,10 +110,10 @@
    -
    -

    spral_random - Pseudo-random number generator

    +
    +

    spral_random - Pseudo-random number generator

    -

    Purpose

    +

    Purpose

    This package generates pseudo-random numbers using a linear congruential generator. It should generate the same random numbers using any standards compliant Fortran compiler on any architecture so long as the default @@ -124,7 +121,7 @@

    Purpose -

    Version history

    +

    Version history

    2016-09-08 Version 1.1.0

    Add support for long integers

    @@ -134,12 +131,12 @@

    Version history -

    Routines

    +

    Routines

    -

    Random Number Generation

    +

    Random Number Generation

    -function  random_real(state[, positive])
    +function  random_real(state[, positive])

    Return a real uniformly at random from the interval \((-1,1)\) (positive =.true.) or \((0,1)\) (positive =.false.).

    @@ -158,7 +155,7 @@

    Random Number Generation -function  random_integer(state, n) +function  random_integer(state, n)

    Return an integer uniformly at random from the interval \([1,n]\).

    Parameters:
    @@ -176,7 +173,7 @@

    Random Number Generation -function  random_logical(state) +function  random_logical(state)

    Return a logical with equal probability of being .true. or .false..

    Parameters:
    @@ -190,10 +187,10 @@

    Random Number Generation -

    Get/Set Random Seed

    +

    Get/Set Random Seed

    -function  random_get_seed(state)
    +function  random_get_seed(state)

    Return the current random seed stored in state.

    The stream of random numbers generated after this call can be reproduced through the same sequence of calls after seed has been passed to @@ -210,7 +207,7 @@

    Get/Set Random Seed -subroutine  random_set_seed(state, seed) +subroutine  random_set_seed(state, seed)

    Set the random seed stored in the state variable

    Parameters:
    @@ -225,10 +222,10 @@

    Get/Set Random Seed -

    Data Types

    +

    Data Types

    -type  random_state
    +type  random_state

    State of the random number generator. Compontents are not available to the user, but may be examined and altered through calls to random_get_seed() and @@ -237,7 +234,7 @@

    Data Types -

    Example

    +

    Example

    The following code:

    ! examples/Fortran/random.f90 - Example code for SPRAL_RANDOM package
     program random_example
    @@ -302,7 +299,7 @@ 

    Example -

    Method

    +

    Method

    We use a linear congruential generator of the following form:

    \[X_{n+1} = (aX_n + c)\quad \mathrm{mod}\; m\]
    @@ -318,7 +315,7 @@

    Method\(X_n\). The default seed is \(X_0 = 486502\).

    -

    In random_real()

    +

    In random_real()

    Samples from \(\mathrm{Unif}(0,1)\) are generated as

    \[\frac{\mathrm{real}(X_n)}{\mathrm{real}(m)},\]
    @@ -327,13 +324,13 @@

    In -

    In random_integer()

    +

    In random_integer()

    Samples from \(\mathrm{Unif}(1,\ldots,n)\) are generated as

    \[\mathrm{int}\left(X_n\frac{\mathrm{real}(n)}{\mathrm{real}(m)}\right) + 1\]
    -

    In random_logical()

    +

    In random_logical()

    Returns the value of the Fortran expression

    (1 .eq. random_integer(state,2))
     
    @@ -353,7 +350,7 @@

    In
    -

    © Copyright 2024, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

    +

    © Copyright 2025, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

    Built with
    Sphinx using a diff --git a/docs/_build/html/Fortran/random_matrix.html b/docs/_build/html/Fortran/random_matrix.html index 6a590f88..408e3d68 100644 --- a/docs/_build/html/Fortran/random_matrix.html +++ b/docs/_build/html/Fortran/random_matrix.html @@ -1,24 +1,24 @@ + + - + - + - spral_random_matrix - Pseudo-random Matrix Generator — spral v2024-05-08 [Fortran] documentation - - - - - + spral_random_matrix - Pseudo-random Matrix Generator — spral v2025-01-08 [Fortran] documentation + + + + - - - - - - + + + + + + + @@ -38,9 +38,6 @@ spral -
    - v2024-05-08 [Fortran] -
    @@ -103,17 +100,17 @@
    -
    -

    spral_random_matrix - Pseudo-random Matrix Generator

    +
    +

    spral_random_matrix - Pseudo-random Matrix Generator

    -

    Purpose

    +

    Purpose

    This package generates a random sparse matrix of specified size and density in compressed sparse column format. Either the pattern or both the pattern and values can be generated. Both symmetric and unsymmetric matrices can be generated, and structural non-degeneracy can optionally be ensured, and the row indices can be sorted within columns.

    -

    Version history

    +

    Version history

    2016-09-08 Version 1.1.0

    Add long support

    @@ -123,10 +120,10 @@

    Version history -

    Routines

    +

    Routines

    -function  random_matrix_generate(state, matrix_type, m, n, nnz, ptr, row, flag[, stat, val, nonsingular, sort])
    +function  random_matrix_generate(state, matrix_type, m, n, nnz, ptr, row, flag[, stat, val, nonsingular, sort])

    Generate an \(m\times n\) random matrix with \(nnz\) non-zero entries.

    If matrix_type specifies a symmetric or skew symmetric matrix, only @@ -234,7 +231,7 @@

    Routines -

    Example

    +

    Example

    The following code generates a random \(4 \times 5\) matrix with \(8\) non-zeroes that is non-singular.

    ! examples/Fortran/random_matrix.f90 - Example code for SPRAL_RANDOM_MATRIX pkg
    @@ -278,7 +275,7 @@ 

    Example -

    Method

    +

    Method

    If structural non-singularity is requested, first \(\min(m, n)\) entries are generated as follows:

    @@ -315,7 +312,7 @@

    Method
    -

    © Copyright 2024, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

    +

    © Copyright 2025, Computational Mathematics Group, STFC Rutherford Appleton Laboratory.

    Built with
    Sphinx using a diff --git a/docs/_build/html/Fortran/rutherford_boeing.html b/docs/_build/html/Fortran/rutherford_boeing.html index b497f08c..03074aad 100644 --- a/docs/_build/html/Fortran/rutherford_boeing.html +++ b/docs/_build/html/Fortran/rutherford_boeing.html @@ -1,24 +1,24 @@ + + - + - + - spral_rutherford_boeing - RB File Format Utilities — spral v2024-05-08 [Fortran] documentation - - - - - + spral_rutherford_boeing - RB File Format Utilities — spral v2025-01-08 [Fortran] documentation + + + + - - - - - - + + + + + + + @@ -38,9 +38,6 @@ spral -
    - v2024-05-08 [Fortran] -
    @@ -116,9 +113,9 @@
    -

    spral_rutherford_boeing - RB File Format Utilities

    +

    spral_rutherford_boeing - RB File Format Utilities

    -

    Purpose

    +

    Purpose

    This package provides routines to read and write matrices stored in files using the Rutherford-Boeing format.

    At present, reading and writing of supplementary data (e.g. right-hand sides) @@ -128,7 +125,7 @@

    PurposeMC56 that are available without charge (although redistribution is not permitted).

    -

    Version history

    +

    Version history

    2016-09-08 Version 1.0.0

    Initial release.

    @@ -137,10 +134,10 @@

    Version history -

    Subroutines

    +

    Subroutines

    -subroutine  rb_peek(filename, inform[, m, n, nelt, nvar, nval, matrix_type, type_code, title, identifier])
    +subroutine  rb_peek(filename, inform[, m, n, nelt, nvar, nval, matrix_type, type_code, title, identifier])

    Returns information about a matrix \(A\) stored in a specified file using Rutherford Boring format (only information from the file header is accessed).

    @@ -180,7 +177,7 @@

    Subroutines -subroutine  rb_read(filename, m, n, ptr, row, val, options, inform[, matrix_type, type_code, title, identifier, state]) +subroutine  rb_read(filename, m, n, ptr, row, val, options, inform[, matrix_type, type_code, title, identifier, state])

    Reads a CSC matrix from a file stored in RB format.

    Parameters:
    @@ -227,7 +224,7 @@

    Subroutines -subroutine  rb_write(filename, matrix_type, m, n, ptr, row, options, inform[, val, title, identifier]) +subroutine  rb_write(filename, matrix_type, m, n, ptr, row, options, inform[, val, title, identifier])

    Writes a CSC format matrix to the specified file in RB format.

    Parameters:
    @@ -268,9 +265,9 @@

    Subroutines -

    Exit status codes

    +

    Exit status codes

- + @@ -318,10 +315,10 @@

Exit status codes -

Derived types

+

Derived types

-type  rb_read_options
+type  rb_read_options

Specify options for reading matrices.

Type fields:
@@ -392,7 +389,7 @@

Derived types -type  rb_write_options +type  rb_write_options

Specify options for writing matrices.

Type fields:
@@ -412,9 +409,9 @@

Derived types -

Example

+

Example

-

Reading a matrix

+

Reading a matrix

The following code reads a matrix from the file “matrix.rb”:

! examples/Fortran/rutherford_boeing/rb_read.f90
 ! Example code for SPRAL_RUTHERFORD_BOEING
@@ -463,7 +460,7 @@ 

Reading a matrix -

Writing a matrix

+

Writing a matrix

The following code writes a matrix to the file “matrix.rb”:

! examples/Fortran/rutherford_boeing/rb_write.f90
 ! Example code for SPRAL_RUTHERFORD_BOEING
@@ -519,9 +516,9 @@ 

Writing a matrix -

Method

+

Method

-

Generation of random values

+

Generation of random values

Values are generated uniformly at random from \([-1,1]\). If a diagonally dominant matrix is requested, the diagonal entry in each row is set to \(\max(100, 10k)\), where k is the number of entries @@ -530,7 +527,7 @@

Generation of random valuesspral_random module is used.

-

Rutherford Boeing File format

+

Rutherford Boeing File format

The Rutherford Boeing file format is described in the following report [1]. A file may either contain a sparse matrix or supplementary data. However, this package only supports the former.

@@ -538,7 +535,7 @@

Generation of random values -

+ @@ -573,7 +570,7 @@

Generation of random values -

Exit status codesExit status codes

inform

Status

Type codeType code

First character

Second character

@@ -404,7 +401,7 @@

Basic Subroutines -subroutine  ssids_free([akeep, fkeep, ]cuda_error) +subroutine  ssids_free([akeep, fkeep, ]cuda_error)

Frees memory and resources associated with akeep and/or fkeep, at least one of which must be present.

@@ -429,10 +426,10 @@

Basic Subroutines -

Advanced subroutines

+

Advanced subroutines

-subroutine  ssids_enquire_posdef(akeep, fkeep, options, inform, d)
+subroutine  ssids_enquire_posdef(akeep, fkeep, options, inform, d)

Return the diagonal entries of the Cholesky factor.

Parameters:
@@ -454,7 +451,7 @@

Advanced subroutines
-subroutine  ssids_enquire_indef(akeep, fkeep, options, inform[, piv_order, d])
+subroutine  ssids_enquire_indef(akeep, fkeep, options, inform[, piv_order, d])

Return the pivot order and/or values of \(D\) of the Symmetric Indefinite Factorization.

@@ -487,7 +484,7 @@

Advanced subroutines
-subroutine  ssids_alter(d, akeep, fkeep, options, inform)
+subroutine  ssids_alter(d, akeep, fkeep, options, inform)

Alter the entries of the diagonal factor \(D\) for a symmetric indefinite factorization. The pivot order remains the same.

@@ -510,10 +507,10 @@

Advanced subroutines
-

Derived types

+

Derived types

-type  ssids_options
+type  ssids_options

The derived data type ssids_options is used to specify the options used within SSIDS. The components, that are automatically given default values in the definition of the type, are:

@@ -655,7 +652,7 @@

Derived types -type  ssids_inform +type  ssids_inform

Used to return information about the progress and needs of the algorithm.

Type fields:
@@ -821,7 +818,7 @@

Derived types -

Example

+

Example

Suppose we wish to factorize the matrix

\[\begin{split}A = \left(\begin{array}{ccccc} @@ -914,7 +911,7 @@

Derived types -

Driver Program

+

Driver Program

SSIDS ships with a driver program spral_ssids that allows reading a matrix in Rutherford-Boeing format specified as a command-line argument and factorizing it. There are a number of other command-line arguments that @@ -1054,9 +1051,9 @@

Driver Program -

Method

+

Method

-

Partition of work across available resources

+

Partition of work across available resources

Once the ordering has been determined and the assembly tree determined in the analyse phase, the tree is broken into a number of leaf subtrees rooted at a single node, leaving a root subtree/forest consisting of all remaining nodes @@ -1070,7 +1067,7 @@

Partition of work across available resources -

Data checking

+

Data checking

If check is set to .true. on the call to ssids_analyse() or if ssids_analyse_coord() is called, the user-supplied matrix data is checked for errors. The cleaned integer matrix data (duplicates are @@ -1088,7 +1085,7 @@

Data checking -

Factorization performed

+

Factorization performed

The factorization performed depends on the value of posdef.

If posdef=true, a Cholesky factorization is performed:

@@ -1106,7 +1103,7 @@

Factorization performed

-

Small Leaf Subtrees

+

Small Leaf Subtrees

For subtrees allocated to run on the CPU, the factorization of small nodes near the leaves of the tree can be amalgamated into a single parallel task (normally each would be treated as its own OpenMP task to be scheduled). This can reduce @@ -1115,9 +1112,9 @@

Factorization performedoptions.small_subtree_threshold, that subtree is treated as a single task.

-

References

+

References

Built with Sphinx using a diff --git a/docs/_build/html/Fortran/ssmfe.html b/docs/_build/html/Fortran/ssmfe.html index 7c71a913..233b08ed 100644 --- a/docs/_build/html/Fortran/ssmfe.html +++ b/docs/_build/html/Fortran/ssmfe.html @@ -1,24 +1,24 @@ + + - + - + - spral_ssmfe - Sparse Symmetric Matrix-Free Eigensolver — spral v2024-05-08 [Fortran] documentation - - - - - + spral_ssmfe - Sparse Symmetric Matrix-Free Eigensolver — spral v2025-01-08 [Fortran] documentation + + + + - - - - - - + + + + + + + @@ -38,9 +38,6 @@ spral -
- v2024-05-08 [Fortran] -
@@ -113,10 +110,10 @@
-
-

spral_ssmfe - Sparse Symmetric Matrix-Free Eigensolver

+
+

spral_ssmfe - Sparse Symmetric Matrix-Free Eigensolver

-

Purpose

+

Purpose

This package computes extreme (leftmost and/or rightmost) eigenpairs \(\{\lambda_i, x_i\}\) of the following eigenvalue problems:

Built with Sphinx using a diff --git a/docs/_build/html/Fortran/ssmfe_core.html b/docs/_build/html/Fortran/ssmfe_core.html index 93338c89..50c9f6c0 100644 --- a/docs/_build/html/Fortran/ssmfe_core.html +++ b/docs/_build/html/Fortran/ssmfe_core.html @@ -1,24 +1,24 @@ + + - + - + - spral_ssmfe_core - Sparse Symmetric Matrix-Free Eigensolver (Core Algorithm) — spral v2024-05-08 [Fortran] documentation - - - - - + spral_ssmfe_core - Sparse Symmetric Matrix-Free Eigensolver (Core Algorithm) — spral v2025-01-08 [Fortran] documentation + + + + - - - - - - + + + + + + + @@ -37,9 +37,6 @@ spral -
- v2024-05-08 [Fortran] -
@@ -116,10 +113,10 @@
-
-

spral_ssmfe_core - Sparse Symmetric Matrix-Free Eigensolver (Core Algorithm)

+
+

spral_ssmfe_core - Sparse Symmetric Matrix-Free Eigensolver (Core Algorithm)

-

Purpose

+

Purpose

This package computes extreme (leftmost and/or rightmost) eigenpairs \(\{\lambda_i, x_i\}\) of the following eigenvalue problems:

    @@ -148,7 +145,7 @@

    Purpose -

    Major version history

    +

    Major version history

    2014-11-20 Version 1.0.0

    Initial release

    @@ -156,7 +153,7 @@

    Major version history

-

Usage overview

+

Usage overview

spral_ssmfe_core implements a block iterative algorithm for simultaneous computation of several eigenpairs for the problems above. The block nature of this @@ -199,7 +196,7 @@

Usage overview -

Subroutines

+

Subroutines

To use the solver procedures, the user must maintain a workspace of (kw+1) blocks each containing m vectors of size n. For notational convienience we refer to this workspace as a Fortran array W(n,m,0:kw), but the user @@ -268,7 +265,7 @@

SubroutinesX(:)).

-subroutine  ssmfe(rci, problem, left, right, m, lambda, rr, ind, keep, options, inform)
+subroutine  ssmfe(rci, problem, left, right, m, lambda, rr, ind, keep, options, inform)

Computes specified number of leftmost and rightmost eigenvalues and corresponding eigenvectors.

Uses reverse-communication. Upon return the user must perform a task @@ -472,7 +469,7 @@

Subroutines -subroutine  ssmfe_largest(rci, problem, nep, m, lambda, rr, ind, keep, options, inform) +subroutine  ssmfe_largest(rci, problem, nep, m, lambda, rr, ind, keep, options, inform)

Computes specified number of eigenvalues of largest magnitude and corresponding eigenvectors.

Uses reverse-communication. Upon return the user must perform a task @@ -517,7 +514,7 @@

Subroutines -subroutine  ssmfe_free([keep, inform]) +subroutine  ssmfe_free([keep, inform])

Free memory allocated in keep and inform. Unnecessary if both are going out of scope.

@@ -532,10 +529,10 @@

Subroutines -

Derived types

+

Derived types

-type  ssmfe_core_options
+type  ssmfe_core_options

Options that control the algorithm.

Type fields:
@@ -589,7 +586,7 @@

Derived types -type  ssmfe_infrom +type  ssmfe_infrom

Information on progress of the algorithm.

Type fields:
@@ -674,9 +671,9 @@

Derived types -

Examples

+

Examples

-

Preconditioning example

+

Preconditioning example

The following code computes the 5 leftmost eigenpairs of the matrix \(A\) of order 100 that approximates the two-dimensional Laplacian operator on a 20-by-20 grid. One forward and one backward Gauss-Seidel @@ -889,9 +886,9 @@

Preconditioning example

-

Method

+

Method

-

The algorithm

+

The algorithm

The algorithm implemented by ssmfe() and :f:subr`ssmfe_largest()` is based on the Jacobi-conjugate preconditioned gradients (JCPG) method. The outline of the algorithm, assuming for simplicity that \(0 < left \le m\) @@ -985,9 +982,9 @@

The algorithm\(Z\).

-

Error estimation

+

Error estimation

-

Standard problem

+

Standard problem

If options%err_est = 1, the error estimates for the eigenvalues are based on the eigenvalues of a matrix of the form

@@ -1047,7 +1044,7 @@

Standard problem -

Generalized problems

+

Generalized problems

In the case of the generalized eigenvalue problem , all of the residual norms in the previous section must be replaced with \(\|\cdot\|_{B^{-1}}\)-norm of the residual @@ -1067,23 +1064,23 @@

Generalized problems

-

References

+

References

Built with Sphinx using a diff --git a/docs/_build/html/Fortran/ssmfe_expert.html b/docs/_build/html/Fortran/ssmfe_expert.html index 87c0f42e..72d45b89 100644 --- a/docs/_build/html/Fortran/ssmfe_expert.html +++ b/docs/_build/html/Fortran/ssmfe_expert.html @@ -1,24 +1,24 @@ + + - + - + - spral_ssmfe_expert - Sparse Symmetric Matrix-Free Eigensolver (Expert interface) — spral v2024-05-08 [Fortran] documentation - - - - - + spral_ssmfe_expert - Sparse Symmetric Matrix-Free Eigensolver (Expert interface) — spral v2025-01-08 [Fortran] documentation + + + + - - - - - - + + + + + + + @@ -38,9 +38,6 @@ spral -
- v2024-05-08 [Fortran] -
@@ -120,10 +117,10 @@
-
-

spral_ssmfe_expert - Sparse Symmetric Matrix-Free Eigensolver (Expert interface)

+
+

spral_ssmfe_expert - Sparse Symmetric Matrix-Free Eigensolver (Expert interface)

-

Purpose

+

Purpose

This package computes extreme (leftmost and/or rightmost) eigenpairs \(\{\lambda_i, x_i\}\) of the following eigenvalue problems: