From f25591abda91a9f7124fa9a2e2aacedeebcc7fde Mon Sep 17 00:00:00 2001
From: "Documenter.jl" <documenter@juliadocs.github.io>
Date: Wed, 23 Aug 2023 21:45:33 +0000
Subject: [PATCH] build based on ddbf33f

---
 previews/PR449/assets/documenter.js           | 331 ++++++++++++++
 previews/PR449/assets/search.js               | 267 +++++++++++
 .../PR449/assets/themes/documenter-dark.css   |   7 +
 .../PR449/assets/themes/documenter-light.css  |   9 +
 previews/PR449/assets/themeswap.js            |  66 +++
 previews/PR449/assets/warner.js               |  49 +++
 previews/PR449/examples/index.html            | 413 ++++++++++++++++++
 previews/PR449/getting_started/index.html     |  13 +
 previews/PR449/index.html                     |   2 +
 previews/PR449/search/index.html              |   2 +
 previews/PR449/search_index.js                |   3 +
 previews/PR449/siteinfo.js                    |   1 +
 previews/PR449/using_polymake_jl/index.html   | 242 ++++++++++
 13 files changed, 1405 insertions(+)
 create mode 100644 previews/PR449/assets/documenter.js
 create mode 100644 previews/PR449/assets/search.js
 create mode 100644 previews/PR449/assets/themes/documenter-dark.css
 create mode 100644 previews/PR449/assets/themes/documenter-light.css
 create mode 100644 previews/PR449/assets/themeswap.js
 create mode 100644 previews/PR449/assets/warner.js
 create mode 100644 previews/PR449/examples/index.html
 create mode 100644 previews/PR449/getting_started/index.html
 create mode 100644 previews/PR449/index.html
 create mode 100644 previews/PR449/search/index.html
 create mode 100644 previews/PR449/search_index.js
 create mode 100644 previews/PR449/siteinfo.js
 create mode 100644 previews/PR449/using_polymake_jl/index.html

diff --git a/previews/PR449/assets/documenter.js b/previews/PR449/assets/documenter.js
new file mode 100644
index 00000000..6adfbbbf
--- /dev/null
+++ b/previews/PR449/assets/documenter.js
@@ -0,0 +1,331 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia.min',
+    'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min',
+    'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min',
+    'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/contrib/auto-render.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
+    'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min',
+    'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min',
+    'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/highlight.min',
+    'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia-repl.min',
+  },
+  shim: {
+  "highlight-julia": {
+    "deps": [
+      "highlight"
+    ]
+  },
+  "katex-auto-render": {
+    "deps": [
+      "katex"
+    ]
+  },
+  "headroom-jquery": {
+    "deps": [
+      "jquery",
+      "headroom"
+    ]
+  },
+  "highlight-julia-repl": {
+    "deps": [
+      "highlight"
+    ]
+  }
+}
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) {
+$(document).ready(function() {
+  renderMathInElement(
+    document.body,
+    {
+  "delimiters": [
+    {
+      "left": "$",
+      "right": "$",
+      "display": false
+    },
+    {
+      "left": "$$",
+      "right": "$$",
+      "display": true
+    },
+    {
+      "left": "\\[",
+      "right": "\\]",
+      "display": true
+    }
+  ]
+}
+
+  );
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) {
+$(document).ready(function() {
+    hljs.highlightAll();
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require([], function() {
+function addCopyButtonCallbacks() {
+  for (const el of document.getElementsByTagName("pre")) {
+    const button = document.createElement("button");
+    button.classList.add("copy-button", "fas", "fa-copy");
+    el.appendChild(button);
+
+    const success = function () {
+      button.classList.add("success", "fa-check");
+      button.classList.remove("fa-copy");
+    };
+
+    const failure = function () {
+      button.classList.add("error", "fa-times");
+      button.classList.remove("fa-copy");
+    };
+
+    button.addEventListener("click", function () {
+      copyToClipboard(el.innerText).then(success, failure);
+
+      setTimeout(function () {
+        button.classList.add("fa-copy");
+        button.classList.remove("success", "fa-check", "fa-times");
+      }, 5000);
+    });
+  }
+}
+
+function copyToClipboard(text) {
+  // clipboard API is only available in secure contexts
+  if (window.navigator && window.navigator.clipboard) {
+    return window.navigator.clipboard.writeText(text);
+  } else {
+    return new Promise(function (resolve, reject) {
+      try {
+        const el = document.createElement("textarea");
+        el.textContent = text;
+        el.style.position = "fixed";
+        el.style.opacity = 0;
+        document.body.appendChild(el);
+        el.select();
+        document.execCommand("copy");
+
+        resolve();
+      } catch (err) {
+        reject(err);
+      } finally {
+        document.body.removeChild(el);
+      }
+    });
+  }
+}
+
+if (document.readyState === "loading") {
+  document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks);
+} else {
+  addCopyButtonCallbacks();
+}
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) {
+
+// Manages the top navigation bar (hides it when the user starts scrolling down on the
+// mobile).
+window.Headroom = Headroom; // work around buggy module loading?
+$(document).ready(function() {
+  $('#documenter .docs-navbar').headroom({
+    "tolerance": {"up": 10, "down": 10},
+  });
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// Modal settings dialog
+$(document).ready(function() {
+  var settings = $('#documenter-settings');
+  $('#documenter-settings-button').click(function(){
+    settings.toggleClass('is-active');
+  });
+  // Close the dialog if X is clicked
+  $('#documenter-settings button.delete').click(function(){
+    settings.removeClass('is-active');
+  });
+  // Close dialog if ESC is pressed
+  $(document).keyup(function(e) {
+    if (e.keyCode == 27) settings.removeClass('is-active');
+  });
+});
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// Manages the showing and hiding of the sidebar.
+$(document).ready(function() {
+  var sidebar = $("#documenter > .docs-sidebar");
+  var sidebar_button = $("#documenter-sidebar-button")
+  sidebar_button.click(function(ev) {
+    ev.preventDefault();
+    sidebar.toggleClass('visible');
+    if (sidebar.hasClass('visible')) {
+      // Makes sure that the current menu item is visible in the sidebar.
+      $("#documenter .docs-menu a.is-active").focus();
+    }
+  });
+  $("#documenter > .docs-main").bind('click', function(ev) {
+    if ($(ev.target).is(sidebar_button)) {
+      return;
+    }
+    if (sidebar.hasClass('visible')) {
+      sidebar.removeClass('visible');
+    }
+  });
+})
+
+// Resizes the package name / sitename in the sidebar if it is too wide.
+// Inspired by: https://github.com/davatron5000/FitText.js
+$(document).ready(function() {
+  e = $("#documenter .docs-autofit");
+  function resize() {
+    var L = parseInt(e.css('max-width'), 10);
+    var L0 = e.width();
+    if(L0 > L) {
+      var h0 = parseInt(e.css('font-size'), 10);
+      e.css('font-size', L * h0 / L0);
+      // TODO: make sure it survives resizes?
+    }
+  }
+  // call once and then register events
+  resize();
+  $(window).resize(resize);
+  $(window).on('orientationchange', resize);
+});
+
+// Scroll the navigation bar to the currently selected menu item
+$(document).ready(function() {
+  var sidebar = $("#documenter .docs-menu").get(0);
+  var active = $("#documenter .docs-menu .is-active").get(0);
+  if(typeof active !== 'undefined') {
+    sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15;
+  }
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+function set_theme(theme) {
+  var active = null;
+  var disabled = [];
+  for (var i = 0; i < document.styleSheets.length; i++) {
+    var ss = document.styleSheets[i];
+    var themename = ss.ownerNode.getAttribute("data-theme-name");
+    if(themename === null) continue; // ignore non-theme stylesheets
+    // Find the active theme
+    if(themename === theme) active = ss;
+    else disabled.push(ss);
+  }
+  if(active !== null) {
+    active.disabled = false;
+    if(active.ownerNode.getAttribute("data-theme-primary") === null) {
+      document.getElementsByTagName('html')[0].className = "theme--" + theme;
+    } else {
+      document.getElementsByTagName('html')[0].className = "";
+    }
+    disabled.forEach(function(ss){
+      ss.disabled = true;
+    });
+  }
+
+  // Store the theme in localStorage
+  if(typeof(window.localStorage) !== "undefined") {
+    window.localStorage.setItem("documenter-theme", theme);
+  } else {
+    console.error("Browser does not support window.localStorage");
+  }
+}
+
+// Theme picker setup
+$(document).ready(function() {
+  // onchange callback
+  $('#documenter-themepicker').change(function themepick_callback(ev){
+    var themename = $('#documenter-themepicker option:selected').attr('value');
+    set_theme(themename);
+  });
+
+  // Make sure that the themepicker displays the correct theme when the theme is retrieved
+  // from localStorage
+  if(typeof(window.localStorage) !== "undefined") {
+    var theme =  window.localStorage.getItem("documenter-theme");
+    if(theme !== null) {
+      $('#documenter-themepicker option').each(function(i,e) {
+        e.selected = (e.value === theme);
+      })
+    } else {
+      $('#documenter-themepicker option').each(function(i,e) {
+        e.selected = $("html").hasClass(`theme--${e.value}`);
+      })
+    }
+  }
+})
+
+})
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery'], function($) {
+
+// update the version selector with info from the siteinfo.js and ../versions.js files
+$(document).ready(function() {
+  // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the
+  // siteinfo.js file, we just return immediately and not display the version selector.
+  if (typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === 'boolean' && DOCUMENTER_VERSION_SELECTOR_DISABLED) {
+    return;
+  }
+
+  var version_selector = $("#documenter .docs-version-selector");
+  var version_selector_select = $("#documenter .docs-version-selector select");
+
+  version_selector_select.change(function(x) {
+    target_href = version_selector_select.children("option:selected").get(0).value;
+    window.location.href = target_href;
+  });
+
+  // add the current version to the selector based on siteinfo.js, but only if the selector is empty
+  if (typeof DOCUMENTER_CURRENT_VERSION !== 'undefined' && $('#version-selector > option').length == 0) {
+    var option = $("<option value='#' selected='selected'>" + DOCUMENTER_CURRENT_VERSION + "</option>");
+    version_selector_select.append(option);
+  }
+
+  if (typeof DOC_VERSIONS !== 'undefined') {
+    var existing_versions = version_selector_select.children("option");
+    var existing_versions_texts = existing_versions.map(function(i,x){return x.text});
+    DOC_VERSIONS.forEach(function(each) {
+      var version_url = documenterBaseURL + "/../" + each;
+      var existing_id = $.inArray(each, existing_versions_texts);
+      // if not already in the version selector, add it as a new option,
+      // otherwise update the old option with the URL and enable it
+      if (existing_id == -1) {
+        var option = $("<option value='" + version_url + "'>" + each + "</option>");
+        version_selector_select.append(option);
+      } else {
+        var option = existing_versions[existing_id];
+        option.value = version_url;
+        option.disabled = false;
+      }
+    });
+  }
+
+  // only show the version selector if the selector has been populated
+  if (version_selector_select.children("option").length > 0) {
+    version_selector.toggleClass("visible");
+  }
+})
+
+})
diff --git a/previews/PR449/assets/search.js b/previews/PR449/assets/search.js
new file mode 100644
index 00000000..c133f741
--- /dev/null
+++ b/previews/PR449/assets/search.js
@@ -0,0 +1,267 @@
+// Generated by Documenter.jl
+requirejs.config({
+  paths: {
+    'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min',
+    'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min',
+    'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min',
+  }
+});
+////////////////////////////////////////////////////////////////////////////////
+require(['jquery', 'lunr', 'lodash'], function($, lunr, _) {
+
+$(document).ready(function() {
+  // parseUri 1.2.2
+  // (c) Steven Levithan <stevenlevithan.com>
+  // MIT License
+  function parseUri (str) {
+    var  o   = parseUri.options,
+      m   = o.parser[o.strictMode ? "strict" : "loose"].exec(str),
+      uri = {},
+      i   = 14;
+
+    while (i--) uri[o.key[i]] = m[i] || "";
+
+    uri[o.q.name] = {};
+    uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) {
+      if ($1) uri[o.q.name][$1] = $2;
+    });
+
+    return uri;
+  };
+  parseUri.options = {
+    strictMode: false,
+    key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"],
+    q:   {
+      name:   "queryKey",
+      parser: /(?:^|&)([^&=]*)=?([^&]*)/g
+    },
+    parser: {
+      strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/,
+      loose:  /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/
+    }
+  };
+
+  $("#search-form").submit(function(e) {
+    e.preventDefault()
+  })
+
+  // list below is the lunr 2.1.3 list minus the intersect with names(Base)
+  // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with)
+  // ideally we'd just filter the original list but it's not available as a variable
+  lunr.stopWordFilter = lunr.generateStopWordFilter([
+    'a',
+    'able',
+    'about',
+    'across',
+    'after',
+    'almost',
+    'also',
+    'am',
+    'among',
+    'an',
+    'and',
+    'are',
+    'as',
+    'at',
+    'be',
+    'because',
+    'been',
+    'but',
+    'by',
+    'can',
+    'cannot',
+    'could',
+    'dear',
+    'did',
+    'does',
+    'either',
+    'ever',
+    'every',
+    'from',
+    'got',
+    'had',
+    'has',
+    'have',
+    'he',
+    'her',
+    'hers',
+    'him',
+    'his',
+    'how',
+    'however',
+    'i',
+    'if',
+    'into',
+    'it',
+    'its',
+    'just',
+    'least',
+    'like',
+    'likely',
+    'may',
+    'me',
+    'might',
+    'most',
+    'must',
+    'my',
+    'neither',
+    'no',
+    'nor',
+    'not',
+    'of',
+    'off',
+    'often',
+    'on',
+    'or',
+    'other',
+    'our',
+    'own',
+    'rather',
+    'said',
+    'say',
+    'says',
+    'she',
+    'should',
+    'since',
+    'so',
+    'some',
+    'than',
+    'that',
+    'the',
+    'their',
+    'them',
+    'then',
+    'there',
+    'these',
+    'they',
+    'this',
+    'tis',
+    'to',
+    'too',
+    'twas',
+    'us',
+    'wants',
+    'was',
+    'we',
+    'were',
+    'what',
+    'when',
+    'who',
+    'whom',
+    'why',
+    'will',
+    'would',
+    'yet',
+    'you',
+    'your'
+  ])
+
+  // add . as a separator, because otherwise "title": "Documenter.Anchors.add!"
+  // would not find anything if searching for "add!", only for the entire qualification
+  lunr.tokenizer.separator = /[\s\-\.]+/
+
+  // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names
+  lunr.trimmer = function (token) {
+    return token.update(function (s) {
+      return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '')
+    })
+  }
+
+  lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter')
+  lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer')
+
+  var index = lunr(function () {
+    this.ref('location')
+    this.field('title',{boost: 100})
+    this.field('text')
+    documenterSearchIndex['docs'].forEach(function(e) {
+        this.add(e)
+    }, this)
+  })
+  var store = {}
+
+  documenterSearchIndex['docs'].forEach(function(e) {
+      store[e.location] = {title: e.title, category: e.category, page: e.page}
+  })
+
+  $(function(){
+    searchresults = $('#documenter-search-results');
+    searchinfo = $('#documenter-search-info');
+    searchbox = $('#documenter-search-query');
+    searchform = $('.docs-search');
+    sidebar = $('.docs-sidebar');
+    function update_search(querystring) {
+      tokens = lunr.tokenizer(querystring)
+      results = index.query(function (q) {
+        tokens.forEach(function (t) {
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 100,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["title"],
+            boost: 10,
+            usePipeline: true,
+            editDistance: 2,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+          q.term(t.toString(), {
+            fields: ["text"],
+            boost: 1,
+            usePipeline: true,
+            editDistance: 0,
+            wildcard: lunr.Query.wildcard.NONE
+          })
+        })
+      })
+      searchinfo.text("Number of results: " + results.length)
+      searchresults.empty()
+      results.forEach(function(result) {
+        data = store[result.ref]
+        link = $('<a class="docs-label">'+data.title+'</a>')
+        link.attr('href', documenterBaseURL+'/'+result.ref)
+        if (data.category != "page"){
+          cat = $('<span class="docs-category">('+data.category+', '+data.page+')</span>')
+        } else {
+          cat = $('<span class="docs-category">('+data.category+')</span>')
+        }
+        li = $('<li>').append(link).append(" ").append(cat)
+        searchresults.append(li)
+      })
+    }
+
+    function update_search_box() {
+      querystring = searchbox.val()
+      update_search(querystring)
+    }
+
+    searchbox.keyup(_.debounce(update_search_box, 250))
+    searchbox.change(update_search_box)
+
+    // Disable enter-key form submission for the searchbox on the search page
+    // and just re-run search rather than refresh the whole page.
+    searchform.keypress(
+      function(event){
+        if (event.which == '13') {
+          if (sidebar.hasClass('visible')) {
+            sidebar.removeClass('visible');
+          }
+          update_search_box();
+          event.preventDefault();
+        }
+      }
+    );
+
+    search_query_uri = parseUri(window.location).queryKey["q"]
+    if(search_query_uri !== undefined) {
+      search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20'))
+      searchbox.val(search_query)
+    }
+    update_search_box();
+  })
+})
+
+})
diff --git a/previews/PR449/assets/themes/documenter-dark.css b/previews/PR449/assets/themes/documenter-dark.css
new file mode 100644
index 00000000..c94a294d
--- /dev/null
+++ b/previews/PR449/assets/themes/documenter-dark.css
@@ -0,0 +1,7 @@
+@keyframes spinAround{from{transform:rotate(0deg)}to{transform:rotate(359deg)}}html.theme--documenter-dark .tabs,html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link,html.theme--documenter-dark .pagination-ellipsis,html.theme--documenter-dark .breadcrumb,html.theme--documenter-dark .file,html.theme--documenter-dark .button,.is-unselectable,html.theme--documenter-dark .modal-close,html.theme--documenter-dark .delete{-webkit-touch-callout:none;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none}html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after,html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after{border:3px solid rgba(0,0,0,0);border-radius:2px;border-right:0;border-top:0;content:" 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+  Author: @ericwbailey
+  Maintainer: @ericwbailey
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!important}html.theme--documenter-dark .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused{background-color:#282f2f;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark,html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark:hover,html.theme--documenter-dark .content kbd.button:hover,html.theme--documenter-dark .button.is-dark.is-hovered,html.theme--documenter-dark .content kbd.button.is-hovered{background-color:#232829;border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark:focus,html.theme--documenter-dark .content kbd.button:focus,html.theme--documenter-dark .button.is-dark.is-focused,html.theme--documenter-dark .content kbd.button.is-focused{border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark:focus:not(:active),html.theme--documenter-dark .content kbd.button:focus:not(:active),html.theme--documenter-dark .button.is-dark.is-focused:not(:active),html.theme--documenter-dark .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(40,47,47,0.25)}html.theme--documenter-dark .button.is-dark:active,html.theme--documenter-dark .content kbd.button:active,html.theme--documenter-dark .button.is-dark.is-active,html.theme--documenter-dark .content kbd.button.is-active{background-color:#1d2122;border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark[disabled],html.theme--documenter-dark .content kbd.button[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark,fieldset[disabled] html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;box-shadow:none}html.theme--documenter-dark .button.is-dark.is-inverted,html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#ecf0f1;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted:hover,html.theme--documenter-dark .content kbd.button.is-inverted:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered{background-color:#dde4e6}html.theme--documenter-dark .button.is-dark.is-inverted[disabled],html.theme--documenter-dark .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#ecf0f1;border-color:transparent;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-loading::after,html.theme--documenter-dark .content kbd.button.is-loading::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#ecf0f1}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#ecf0f1;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark 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.docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--documenter-dark .button.is-primary.is-outlined:focus,html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-outlined.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-focused.docs-sourcelink{background-color:#375a7f;border-color:#375a7f;color:#fff}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink::after{border-color:transparent transparent #375a7f #375a7f !important}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark 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a.navbar-item:hover{background-color:rgba(0,0,0,0);color:#dbdee0}html.theme--documenter-dark .navbar-dropdown a.navbar-item.is-active{background-color:rgba(0,0,0,0);color:#1abc9c}.navbar.is-spaced html.theme--documenter-dark .navbar-dropdown,html.theme--documenter-dark .navbar-dropdown.is-boxed{border-radius:8px;border-top:none;box-shadow:0 8px 8px rgba(10,10,10,0.1), 0 0 0 1px rgba(10,10,10,0.1);display:block;opacity:0;pointer-events:none;top:calc(100% + (-4px));transform:translateY(-5px);transition-duration:86ms;transition-property:opacity, transform}html.theme--documenter-dark .navbar-dropdown.is-right{left:auto;right:0}html.theme--documenter-dark .navbar-divider{display:block}html.theme--documenter-dark .navbar>.container .navbar-brand,html.theme--documenter-dark .container>.navbar .navbar-brand{margin-left:-.75rem}html.theme--documenter-dark .navbar>.container .navbar-menu,html.theme--documenter-dark .container>.navbar .navbar-menu{margin-right:-.75rem}html.theme--documenter-dark .navbar.is-fixed-bottom-desktop,html.theme--documenter-dark .navbar.is-fixed-top-desktop{left:0;position:fixed;right:0;z-index:30}html.theme--documenter-dark .navbar.is-fixed-bottom-desktop{bottom:0}html.theme--documenter-dark .navbar.is-fixed-bottom-desktop.has-shadow{box-shadow:0 -2px 3px rgba(10,10,10,0.1)}html.theme--documenter-dark .navbar.is-fixed-top-desktop{top:0}html.theme--documenter-dark html.has-navbar-fixed-top-desktop,html.theme--documenter-dark body.has-navbar-fixed-top-desktop{padding-top:4rem}html.theme--documenter-dark html.has-navbar-fixed-bottom-desktop,html.theme--documenter-dark body.has-navbar-fixed-bottom-desktop{padding-bottom:4rem}html.theme--documenter-dark html.has-spaced-navbar-fixed-top,html.theme--documenter-dark body.has-spaced-navbar-fixed-top{padding-top:6rem}html.theme--documenter-dark html.has-spaced-navbar-fixed-bottom,html.theme--documenter-dark body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--documenter-dark a.navbar-item.is-active,html.theme--documenter-dark .navbar-link.is-active{color:#1abc9c}html.theme--documenter-dark a.navbar-item.is-active:not(:focus):not(:hover),html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--documenter-dark .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--documenter-dark .pagination{font-size:15px;margin:-.25rem}html.theme--documenter-dark .pagination.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.85em}html.theme--documenter-dark .pagination.is-medium{font-size:1.25rem}html.theme--documenter-dark .pagination.is-large{font-size:1.5rem}html.theme--documenter-dark 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.pagination-ellipsis{font-size:1em;justify-content:center;margin:.25rem;padding-left:.5em;padding-right:.5em;text-align:center}html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link{border-color:#5e6d6f;color:#1abc9c;min-width:2.25em}html.theme--documenter-dark .pagination-previous:hover,html.theme--documenter-dark .pagination-next:hover,html.theme--documenter-dark .pagination-link:hover{border-color:#8c9b9d;color:#1dd2af}html.theme--documenter-dark .pagination-previous:focus,html.theme--documenter-dark .pagination-next:focus,html.theme--documenter-dark .pagination-link:focus{border-color:#8c9b9d}html.theme--documenter-dark .pagination-previous:active,html.theme--documenter-dark .pagination-next:active,html.theme--documenter-dark .pagination-link:active{box-shadow:inset 0 1px 2px rgba(10,10,10,0.2)}html.theme--documenter-dark .pagination-previous[disabled],html.theme--documenter-dark 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.panel-block{align-items:center;color:#f2f2f2;display:flex;justify-content:flex-start;padding:0.5em 0.75em}html.theme--documenter-dark .panel-block input[type="checkbox"]{margin-right:0.75em}html.theme--documenter-dark .panel-block>.control{flex-grow:1;flex-shrink:1;width:100%}html.theme--documenter-dark .panel-block.is-wrapped{flex-wrap:wrap}html.theme--documenter-dark .panel-block.is-active{border-left-color:#1abc9c;color:#17a689}html.theme--documenter-dark .panel-block.is-active .panel-icon{color:#1abc9c}html.theme--documenter-dark a.panel-block,html.theme--documenter-dark label.panel-block{cursor:pointer}html.theme--documenter-dark a.panel-block:hover,html.theme--documenter-dark label.panel-block:hover{background-color:#282f2f}html.theme--documenter-dark .panel-icon{display:inline-block;font-size:14px;height:1em;line-height:1em;text-align:center;vertical-align:top;width:1em;color:#fff;margin-right:0.75em}html.theme--documenter-dark .panel-icon 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span.sgr102{background-color:#0e8300}.ansi span.sgr103{background-color:#a98800}.ansi span.sgr104{background-color:#3c5dcd}.ansi span.sgr105{background-color:#9256af}.ansi span.sgr106{background-color:#008fa3}.ansi span.sgr107{background-color:#f5f5f5}code.language-julia-repl>span.hljs-meta{color:#066f00;font-weight:bolder}/*!
+  Theme: Default
+  Description: Original highlight.js style
+  Author: (c) Ivan Sagalaev <maniac@softwaremaniacs.org>
+  Maintainer: @highlightjs/core-team
+  Website: https://highlightjs.org/
+  License: see project LICENSE
+  Touched: 2021
+*/pre code.hljs{display:block;overflow-x:auto}code.hljs{padding:3px 5px}.hljs{background:#F0F0F0;color:#444}.hljs-comment{color:#888888}.hljs-tag,.hljs-punctuation{color:#444a}.hljs-tag .hljs-name,.hljs-tag .hljs-attr{color:#444}.hljs-keyword,.hljs-attribute,.hljs-selector-tag,.hljs-meta .hljs-keyword,.hljs-doctag,.hljs-name{font-weight:bold}.hljs-type,.hljs-string,.hljs-number,.hljs-selector-id,.hljs-selector-class,.hljs-quote,.hljs-template-tag,.hljs-deletion{color:#880000}.hljs-title,.hljs-section{color:#880000;font-weight:bold}.hljs-regexp,.hljs-symbol,.hljs-variable,.hljs-template-variable,.hljs-link,.hljs-selector-attr,.hljs-operator,.hljs-selector-pseudo{color:#BC6060}.hljs-literal{color:#78A960}.hljs-built_in,.hljs-bullet,.hljs-code,.hljs-addition{color:#397300}.hljs-meta{color:#1f7199}.hljs-meta .hljs-string{color:#4d99bf}.hljs-emphasis{font-style:italic}.hljs-strong{font-weight:bold}
diff --git a/previews/PR449/assets/themeswap.js b/previews/PR449/assets/themeswap.js
new file mode 100644
index 00000000..c58e993e
--- /dev/null
+++ b/previews/PR449/assets/themeswap.js
@@ -0,0 +1,66 @@
+// Small function to quickly swap out themes. Gets put into the <head> tag..
+function set_theme_from_local_storage() {
+  // Intialize the theme to null, which means default
+  var theme = null;
+  // If the browser supports the localstorage and is not disabled then try to get the
+  // documenter theme
+  if(window.localStorage != null) {
+    // Get the user-picked theme from localStorage. May be `null`, which means the default
+    // theme.
+    theme =  window.localStorage.getItem("documenter-theme");
+  }
+  // Check if the browser supports user color preference
+  var darkPreference = false;
+  // Check if the users preference is for dark color scheme
+  if(window.matchMedia('(prefers-color-scheme: dark)').matches === true) {
+    darkPreference = true;
+  }
+  // Initialize a few variables for the loop:
+  //
+  //  - active: will contain the index of the theme that should be active. Note that there
+  //    is no guarantee that localStorage contains sane values. If `active` stays `null`
+  //    we either could not find the theme or it is the default (primary) theme anyway.
+  //    Either way, we then need to stick to the primary theme.
+  //
+  //  - disabled: style sheets that should be disabled (i.e. all the theme style sheets
+  //    that are not the currently active theme)
+  var active = null; var disabled = []; var darkTheme = null;
+  for (var i = 0; i < document.styleSheets.length; i++) {
+    var ss = document.styleSheets[i];
+    // The <link> tag of each style sheet is expected to have a data-theme-name attribute
+    // which must contain the name of the theme. The names in localStorage much match this.
+    var themename = ss.ownerNode.getAttribute("data-theme-name");
+    // attribute not set => non-theme stylesheet => ignore
+    if(themename === null) continue;
+    // To distinguish the default (primary) theme, it needs to have the data-theme-primary
+    // attribute set.
+    var isprimary = (ss.ownerNode.getAttribute("data-theme-primary") !== null);
+    // Check if the theme is primary dark theme
+    var isDarkTheme = (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null);
+    // If ss is for dark theme then set the value of darkTheme to the name of the theme
+    if(isDarkTheme) darkTheme = themename;
+    // If we find a matching theme (and it's not the default), we'll set active to non-null
+    if(themename === theme) active = i;
+    // Store the style sheets of inactive themes so that we could disable them
+    if(themename !== theme) disabled.push(ss);
+  }
+  if(active !== null) {
+    // If we did find an active theme, we'll (1) add the theme--$(theme) class to <html>
+    document.getElementsByTagName('html')[0].className = "theme--" + theme;
+    // and (2) disable all the other theme stylesheets
+    disabled.forEach(function(ss){
+      ss.disabled = true;
+    });
+  }
+  else if(darkTheme !== null && darkPreference === true) {
+    // If we did find an active theme, we'll (1) add the theme--$(theme) class to <html>
+    document.getElementsByTagName('html')[0].className = "theme--" + darkTheme;
+    // and (2) disable all the other theme stylesheets
+    disabled.forEach(function(ss){
+      if (ss.ownerNode.getAttribute("data-theme-name") !== darkTheme) {
+        ss.disabled = true;
+      }
+    });
+  }
+}
+set_theme_from_local_storage();
diff --git a/previews/PR449/assets/warner.js b/previews/PR449/assets/warner.js
new file mode 100644
index 00000000..5531c885
--- /dev/null
+++ b/previews/PR449/assets/warner.js
@@ -0,0 +1,49 @@
+function maybeAddWarning () {
+    // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE
+    // in siteinfo.js.
+    // If either of these are undefined something went horribly wrong, so we abort.
+    if (
+            window.DOCUMENTER_NEWEST === undefined ||
+            window.DOCUMENTER_CURRENT_VERSION === undefined ||
+            window.DOCUMENTER_STABLE === undefined
+       ) {
+        return
+    };
+
+    // Current version is not a version number, so we can't tell if it's the newest version. Abort.
+    if (!/v(\d+\.)*\d+/.test(window.DOCUMENTER_CURRENT_VERSION)) {
+        return
+    };
+
+    // Current version is newest version, so no need to add a warning.
+    if (window.DOCUMENTER_NEWEST === window.DOCUMENTER_CURRENT_VERSION) {
+        return
+    };
+
+    // Add a noindex meta tag (unless one exists) so that search engines don't index this version of the docs.
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Examples · Polymake.jl - Documentation</title><script data-outdated-warner src="../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../assets/documenter.js"></script><script src="../siteinfo.js"></script><script src="../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../">Polymake.jl - Documentation</a></span></div><form class="docs-search" action="../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../">Polymake.jl</a></li><li><a class="tocitem" href="../getting_started/">Getting Started</a></li><li><a class="tocitem" href="../using_polymake_jl/">Using Polymake.jl</a></li><li class="is-active"><a class="tocitem" href>Examples</a><ul class="internal"><li><a class="tocitem" href="#Example-script"><span>Example script</span></a></li><li><a class="tocitem" href="#Polymake-syntax-translation"><span>Polymake syntax translation</span></a></li></ul></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Examples</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Examples</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/oscar-system/Polymake.jl/blob/master/docs/src/examples.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Examples"><a class="docs-heading-anchor" href="#Examples">Examples</a><a id="Examples-1"></a><a class="docs-heading-anchor-permalink" href="#Examples" title="Permalink"></a></h1><p>In this section we just highlight various possible uses of <code>Polymake.jl</code>. Please refer to <a href="#polymake-syntax-translation">Polymake syntax translation</a> for more thorough treatment.</p><p><code>polymake</code> big objects (like <code>Polytope</code>, <code>Cone</code>, etc) constructors live within modules named after <code>polymake</code> applications, e.g.</p><pre><code class="language-julia hljs"># Call the Polytope constructor
+julia&gt; p = polytope.Polytope(POINTS=[1 -1 -1; 1 1 -1; 1 -1 1; 1 1 1; 1 0 0])
+type: Polytope&lt;Rational&gt;
+
+POINTS
+1 -1 -1
+1 1 -1
+1 -1 1
+1 1 1
+1 0 0
+</code></pre><p>Parameters to constructors can be passed as keyword arguments only. All the keys <em>must</em> be compatible with <code>polymake</code> input attribute names.</p><p>Properties of such objects can be accessed by the <code>.</code> syntax:</p><pre><code class="nohighlight hljs">julia&gt; p.INTERIOR_LATTICE_POINTS
+pm::Matrix&lt;pm::Integer&gt;
+1 0 0</code></pre><h2 id="Example-script"><a class="docs-heading-anchor" href="#Example-script">Example script</a><a id="Example-script-1"></a><a class="docs-heading-anchor-permalink" href="#Example-script" title="Permalink"></a></h2><p>The following script is modelled on the one from the <a href="https://polymake.org/doku.php/user_guide/tutorials/perl_intro">Using Perl within polymake</a> tutorial:</p><pre><code class="language-julia hljs">using Polymake
+
+str = read(&quot;points.demo&quot;, String)
+# eval/parse is a hack for Rational input, don&#39;t do this at home!
+matrix_str = &quot;[&quot;*replace(str, &quot;/&quot;=&gt;&quot;//&quot;)*&quot;]&quot;
+matrix = eval(Meta.parse(matrix_str))
+@show matrix
+
+p = polytope.Polytope(POINTS=matrix)
+
+@show p.FACETS # polymake matrix of polymake rationals
+@show polytope.dim(p) # Julia Int64
+# note that even in Polymake property DIM is &quot;fake&quot; -- it&#39;s actually a function
+@show p.VERTEX_SIZES # polymake array of ints
+@show p.VERTICES
+
+for (i, vsize) in enumerate(p.VERTEX_SIZES)
+  if vsize == polytope.dim(p)
+    println(&quot;$i : $(p.VERTICES[i,:])&quot;)
+    # $i will be shifted by one from the polymake version
+  end
+end
+
+simple_verts = [i for (i, vsize) in enumerate(p.VERTEX_SIZES) if vsize == polytope.dim(p)] # Julia vector of Int64s
+
+special_points = p.VERTICES[simple_verts, :] # polymake Matrix of rationals
+@show special_points;</code></pre><p>The script included (i.e. in running REPL execute <code>include(&quot;example_script.jl&quot;);</code>) produces the following output:</p><pre><code class="nohighlight hljs">matrix = Rational{Int64}[1//1 0//1 0//1 0//1; 1//1 1//16 1//4 1//16; 1//1 3//8 1//4 1//32; 1//1 1//4 3//8 1//32; 1//1 1//16 1//16 1//4; 1//1 1//32 3//8 1//4; 1//1 1//4 1//16 1//16; 1//1 1//32 1//4 3//8; 1//1 3//8 1//32 1//4; 1//1 1//4 1//32 3//8]
+p.FACETS = pm::Matrix&lt;pm::Rational&gt;
+0 -1 20/7 8/7
+0 -1 20 -1
+0 20/7 -1 8/7
+0 20/7 8/7 -1
+0 20 -1 -1
+1 16/3 16/3 -20/3
+0 8/7 20/7 -1
+0 8/7 -1 20/7
+1 16/3 -20/3 16/3
+0 -1 -1 20
+0 -1 8/7 20/7
+1 -20/3 16/3 16/3
+1 -32/21 -32/21 -32/21
+
+(Polymake.Polytope).dim(p) = 3
+p.VERTEX_SIZES = pm::Array&lt;int&gt;
+9 3 4 4 3 4 3 4 4 4
+p.VERTICES = pm::Matrix&lt;pm::Rational&gt;
+1 0 0 0
+1 1/16 1/4 1/16
+1 3/8 1/4 1/32
+1 1/4 3/8 1/32
+1 1/16 1/16 1/4
+1 1/32 3/8 1/4
+1 1/4 1/16 1/16
+1 1/32 1/4 3/8
+1 3/8 1/32 1/4
+1 1/4 1/32 3/8
+
+2 : pm::Vector&lt;pm::Rational&gt;
+1 1/16 1/4 1/16
+5 : pm::Vector&lt;pm::Rational&gt;
+1 1/16 1/16 1/4
+7 : pm::Vector&lt;pm::Rational&gt;
+1 1/4 1/16 1/16
+special_points = pm::Matrix&lt;pm::Rational&gt;
+1 1/16 1/4 1/16
+1 1/16 1/16 1/4
+1 1/4 1/16 1/16
+
+</code></pre><p>As can be seen we show consecutive steps of computations: the input <code>matrix</code>, <code>FACETS</code>, then we ask for <code>VERTEX_SIZES</code>, which triggers the convex hull computation. Then we show vertices and print those corresponding to simple vertices. Finally we collect them in <code>special_points</code>.</p><p>Observe that a <code>polymake</code> matrix (<code>Polymake.Matrix</code>) implements julia abstract array interface: <code>p.VERTICES[2,:]</code> returns a <code>1</code>-dimensional slice (i.e. <code>Polymake.Vector</code>), while passing a set of indices (<code>p.VERTICES[special_points, :]</code>) returns a <code>2</code>-dimensional one.</p><h3 id="Notes:"><a class="docs-heading-anchor" href="#Notes:">Notes:</a><a id="Notes:-1"></a><a class="docs-heading-anchor-permalink" href="#Notes:" title="Permalink"></a></h3><p>The same minor (up to permutation of rows) could be obtained by using sets: either julia or polymake ones. However since by default one can not index arrays with sets, we need to collect them first:</p><pre><code class="language-julia hljs">simple_verts = Set(i for (i, vsize) in enumerate(p.VERTEX_SIZES) if vsize == polytope.dim(p)) # Julia set of Int64s
+
+simple_verts = Polymake.Set(i for (i, vsize) in enumerate(p.VERTEX_SIZES) if vsize == polytope.dim(p)) # polymake set of longs
+
+special_points = p.VERTICES[collect(simple_verts), :]</code></pre><h2 id="Polymake-syntax-translation"><a class="docs-heading-anchor" href="#Polymake-syntax-translation">Polymake syntax translation</a><a id="Polymake-syntax-translation-1"></a><a class="docs-heading-anchor-permalink" href="#Polymake-syntax-translation" title="Permalink"></a></h2><p>The following tables explain by example how to quickly translate <code>polymake</code> syntax to <code>Polymake.jl</code>.</p><h3 id="Variables"><a class="docs-heading-anchor" href="#Variables">Variables</a><a id="Variables-1"></a><a class="docs-heading-anchor-permalink" href="#Variables" title="Permalink"></a></h3><table>
+  <tr>
+    <th>
+      Polymake
+    </th>
+    <th>
+      Julia
+    </th>
+  </tr>
+  <tr>
+    <td>
+      <code>$p</code> (reference to 'scalar' variable)
+    </td>
+    <td>
+      <code>p</code> (reference to any variable)
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>print $p;</code>
+    </td>
+    <td>
+      <code>print(p)</code> or <code>println(p)</code> or <code>@show p</code>, or just <code>p</code> in REPL
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>$i=5; $j=6;</code>
+    </td>
+    <td>
+      <code>i,j = 5,6</code> or <code>i=5; j=6</code><br>
+      (<code>;</code> is needed for separation, can be used to suppress return value in REPL)
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>$s = $i + $j; print $s;</code>
+    </td>
+    <td>
+      <code>s = i + j</code>
+    </td>
+  </tr>
+</table><h3 id="Arrays"><a class="docs-heading-anchor" href="#Arrays">Arrays</a><a id="Arrays-1"></a><a class="docs-heading-anchor-permalink" href="#Arrays" title="Permalink"></a></h3><table>
+  <tr>
+    <th>
+      Polymake
+    </th>
+    <th>
+      Julia
+    </th>
+  </tr>
+  <tr>
+    <td>
+      Linear containers with random access
+    </td>
+    <td>
+      Linear containers with random access + all the algebra attached
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>@A = ("a", "b", "c");</code>
+    </td>
+    <td>
+      <code>A = ["a", "b", "c"]</code>
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>$first = $A[0];</code>
+      <br>(<code>first</code> is equal to <code>a</code>)
+    </td>
+    <td>
+      <code>first = A[1]</code><br>(note the <code>1</code>-based indexing!)
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>@A2 = (3,1,4,2);</code>
+    </td>
+    <td>
+      <code>A2 = [3,1,4,2]</code>
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>print sort(@A2);</code><br>(a copy of <code>A2</code> is sorted)
+    </td>
+    <td>
+      <code>println(sort(A2))</code><br>(to sort in place use <code>sort!(A2))</code>
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>$arr = new Array<Int>([3,2,5]);</code><br>(a <code>C++</code> object)
+    </td>
+    <td>
+      <code>arr = [3,2,5]</code><br>(the <code>Int</code> type is inferred)
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>$arr->[0] = 100;</code><br>(assignment)
+    </td>
+    <td>
+      <code>arr[1] = 100</code><br>(assignment; returns <code>100</code>)
+    </td>
+  </tr>
+</table><h3 id="Dictionaries/Hash-Tables"><a class="docs-heading-anchor" href="#Dictionaries/Hash-Tables">Dictionaries/Hash Tables</a><a id="Dictionaries/Hash-Tables-1"></a><a class="docs-heading-anchor-permalink" href="#Dictionaries/Hash-Tables" title="Permalink"></a></h3><table>
+  <tr>
+    <th>
+      Polymake
+    </th>
+    <th>
+      Julia
+    </th>
+  </tr>
+  <tr>
+    <td>
+      <code>%h = ();</code>
+    </td>
+    <td>
+      <code>h = Dict()</code><br>it is <b>MUCH</b> better to provide types e.g.<br><code>h = Dict{String, Int}()</code>
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>$h{"zero"}=0; $h{"four"}=4;</code>
+    </td>
+    <td>
+      <code>h["zero"] = 0; h["four"] = 4</code><br>(call returns the value)
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>print keys %h;</code>
+    </td>
+    <td>
+      <code>@show keys(h)</code> (NOTE: order is not specified)
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>print join(", ",keys %hash);</code>
+    </td>
+    <td>
+      <code>join(keys(h), ", ")</code><br>(returns <code>String</code>)
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>%hash=("one",1,"two",2);</code>
+    </td>
+    <td>
+      <code>Dict([("one",1), ("two",2)])</code><br>(will infer types)
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>%hash=("one"=>1,"two"=>2);</code>
+    </td>
+    <td>
+      <code>Dict("one"=>1,"two"=>2)</code>
+    </td>
+  </tr>
+</table><h3 id="Sets"><a class="docs-heading-anchor" href="#Sets">Sets</a><a id="Sets-1"></a><a class="docs-heading-anchor-permalink" href="#Sets" title="Permalink"></a></h3><table>
+  <tr>
+    <th>
+      Polymake
+    </th>
+    <th>
+      Julia
+    </th>
+  </tr>
+  <tr>
+    <td>
+      Balanced binary search trees
+    </td>
+    <td>
+      Hash table with no content
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>$set=new Set<Int>(3,2,5,3);</code>
+    </td>
+    <td>
+      <code>set = Set{Int}([3,2,5,3])</code>
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>print $set->size;</code>
+    </td>
+    <td>
+      <code>length(set)</code>
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>@array_from_set=@$set</code>
+    </td>
+    <td>
+      <code>collect(set)</code><br>(NOTE: this creates a <code>Vector</code>, but order is NOT specified)
+    </td>
+  </tr>
+</table><h3 id="Matrices"><a class="docs-heading-anchor" href="#Matrices">Matrices</a><a id="Matrices-1"></a><a class="docs-heading-anchor-permalink" href="#Matrices" title="Permalink"></a></h3><table>
+  <tr>
+    <th>
+      Polymake
+    </th>
+    <th>
+      Julia
+    </th>
+  </tr>
+  <tr>
+    <td>
+      <code>new Matrix<T></code><br>Container with algebraic operations
+    </td>
+    <td>
+      <code>Matrix{T} = Array{T, 2}</code><br>**Linear** container with available indexing by <code>2</code>-ples; all algebra attached
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>$mat=new Matrix<Rational>([[2,1,4,0,0],[3,1,5,2,1],[1,0,4,0,6]]);</code><br><code>$row1=new Vector<Rational>([2,1,4,0,0]);</code><br><code>$row2=new Vector<Rational>([3,1,5,2,1]);</code><br><code>$row3=new Vector<Rational>([1,0,4,0,6]);</code><br><code>@matrix_rows=($row1,$row2,$row3);</code> (<code>Perl</code> object)<br><code>$matrix_from_array=new Matrix<Rational>(\@matrix_rows);</code> (<code>C++</code> object)
+    </td>
+    <td>
+      <code>mat = Rational{Int}[2 1 4 0 0; 3 1 5 2 1; 1 0 4 0 6];</code><br><code>row1 = Rational{Int}[2, 1, 4, 0, 0];</code><br><code>row2 = Rational{Int}[3, 1, 5, 2, 1];</code><br><code>row3 = Rational{Int}[1, 0, 4, 0, 6];</code><br><code>matrix_rows = hcat(row1', row2', row3')</code><br>(Julia stores matrices in <b>column major</b> format, so <code>'</code> i.e. transposition is needed)
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>$mat->row(1)->[1]=7; $mat->elem(1,2)=8;</code>
+    </td>
+    <td>
+      <code>mat[2,2] = 7; mat[2,3] = 8</code>
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>$unit_mat=4*unit_matrix<Rational>(3);</code>
+    </td>
+    <td>
+      <code>unit_mat = Diagonal([4//1 for i in 1:3])</code> or <code>UniformScaling(4//1)</code><br>depending on application; both require <code>using LinearAlgebra</code>
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>$dense=new Matrix<Rational>($unit_mat);</code><br><code>$m_rat=new Matrix<Rational>(3/5*unit_matrix<Rational>(5));</code><br><code>$m2=$mat/$m_rat;</code><br><code>$m_int=new Matrix<Int>(unit_matrix<Rational>(5));</code><br><code>$m3=$m_rat/$m_int;</code><br>(results in an error due to incompatible types)
+    </td>
+    <td>
+      <code>Array(unit_mat)</code><br><code>m_rat = Diagonal([3//5 for i in 1:5])</code><br><code>m2 = mat/m_rat</code><br><code>m_int = Diagonal([1 for i in 1:5])</code><br><code>m_rat/m_int</code><br>(succeeds due to <code>promote</code> happening in <code>/</code>)
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>convert_to<Rational>($m_int)</code><br><code>$z_vec=zero_vector<Int>($m_int->rows)</code><br><code>$extended_matrix=($z_vec\|$m_int);</code><br>(adds <code>z_vec</code> as the first column, result is dense)
+    </td>
+    <td>
+      <code>convert(Diagonal{Rational{Int}}, m_int)</code><br><code>z_vec = zeros(Int, size(m_int, 1))</code><br><code>extended_matrix = hcat(z_vec, m_int)</code><br>(result is sparse)
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>$set=new Set<Int>(3,2,5);</code><br><code>$template_Ex=new Array<Set<Int>>((new Set<Int>(5,2,6)),$set)</code>
+    </td>
+    <td>
+      <code>set = Set([3,2,5]);</code><br> <code>template_Ex = [Set([5,2,6]), set]</code>
+    </td>
+  </tr>
+</table><h3 id="Big-objects-and-properties:"><a class="docs-heading-anchor" href="#Big-objects-and-properties:">Big objects &amp; properties:</a><a id="Big-objects-and-properties:-1"></a><a class="docs-heading-anchor-permalink" href="#Big-objects-and-properties:" title="Permalink"></a></h3><table>
+  <tr>
+    <th>
+      Polymake
+    </th>
+    <th>
+      Julia
+    </th>
+  </tr>
+  <tr>
+    <td>
+      <code>$p=new Polytope<Rational>(POINTS=>cube(4)->VERTICES);</code>
+    </td>
+    <td>
+      <code>p = polytope.Polytope(POINTS=polytope.cube(4).VERTICES)</code>
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>$lp=new LinearProgram<Rational>(LINEAR_OBJECTIVE=>[0,1,1,1,1]);</code>
+    </td>
+    <td>
+      <code>lp = polytope.LinearProgram(LINEAR_OBJECTIVE=[0,1,1,1,1])</code>
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>$p->LP=$lp;</code><br><code>$p->LP->MAXIMAL_VALUE;</code>
+    </td>
+    <td>
+      <code>p.LP = lp</code><br><code>p.LP.MAXIMAL_VALUE</code>
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>$i = ($p->N_FACETS * $p->N_FACETS) * 15;</code>
+    </td>
+    <td>
+      <code>i = (p.N_FACETS * p.N_FACETS) * 15</code>
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>$print p->DIM;</code>
+    </td>
+    <td>
+      <code>polytope.dim(p)</code><br><code>DIM</code> is actually a faux property, which hides a function beneath
+    </td>
+  </tr>
+  <tr>
+    <td>
+      <code>application "topaz";</code><br><code>$p = new Polytope<Max, QuadraticExtension>(POINTS=>[[1,0,0], [1,1,0], [1,1,1]]);</code>
+    </td>
+    <td>
+      <code>p = @pm tropical.Polytope{Max, QuadraticExtension}(POINTS=[1 0 0; 1 1 0; 1 1 1])</code><br>more information on the @pm macro can be found<p>here: <a href="../using_polymake_jl/#Polymake.@pm"><code>@pm</code></a></p>    </td>
+  </tr>
+</table></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../using_polymake_jl/">« Using Polymake.jl</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 23 August 2023 21:45">Wednesday 23 August 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Getting Started · Polymake.jl - Documentation</title><script data-outdated-warner src="../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../assets/documenter.js"></script><script src="../siteinfo.js"></script><script src="../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../">Polymake.jl - Documentation</a></span></div><form class="docs-search" action="../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../">Polymake.jl</a></li><li class="is-active"><a class="tocitem" href>Getting Started</a><ul class="internal"><li><a class="tocitem" href="#Installation"><span>Installation</span></a></li><li><a class="tocitem" href="#Getting-Help"><span>Getting Help</span></a></li></ul></li><li><a class="tocitem" href="../using_polymake_jl/">Using Polymake.jl</a></li><li><a class="tocitem" href="../examples/">Examples</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Getting Started</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Getting Started</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/oscar-system/Polymake.jl/blob/master/docs/src/getting_started.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Getting-Started"><a class="docs-heading-anchor" href="#Getting-Started">Getting Started</a><a id="Getting-Started-1"></a><a class="docs-heading-anchor-permalink" href="#Getting-Started" title="Permalink"></a></h1><p>This page covers the installation of <code>Polymake.jl</code> and where to find help.</p><h2 id="Installation"><a class="docs-heading-anchor" href="#Installation">Installation</a><a id="Installation-1"></a><a class="docs-heading-anchor-permalink" href="#Installation" title="Permalink"></a></h2><p>The installation can be done in the Julia&#39;s REPL by executing</p><pre><code class="language-julia hljs">julia&gt; using Pkg; Pkg.add(&quot;Polymake&quot;)</code></pre><p>This will fetch a pre-built binary of <code>polymake</code>. You are ready to start <code>using Polymake</code>.</p><p>Note: Pre-built binaries are available for the <code>Linux</code> and <code>macOS</code> platform, but the <code>macOS</code> binaries are considered experimental. Windows users are encouraged to try running Julia inside Window Subsystem for Linux and reporting back ;)</p><p>Note: Pre-built polymake will use a separate <code>.polymake</code> config directory (usually <code>joinpath(homedir(), &quot;.julia&quot;, &quot;polymake_user&quot;)</code>).</p><h3 id="Your-own-installation-of-polymake"><a class="docs-heading-anchor" href="#Your-own-installation-of-polymake">Your own installation of <code>polymake</code></a><a id="Your-own-installation-of-polymake-1"></a><a class="docs-heading-anchor-permalink" href="#Your-own-installation-of-polymake" title="Permalink"></a></h3><p>If you already have a recent enough version of <code>polymake</code> (i.e. <code>&gt;=4.0</code>) on your system and you want to use this version of <code>polymake</code>, you either need to</p><ul><li>set the environment variable <code>POLYMAKE_CONFIG=yes</code> and make <code>polymake-config</code> available in your <code>PATH</code> or</li><li>set the environment variable <code>POLYMAKE_CONFIG</code> to the full path of the <code>polymake-config</code> executable.</li></ul><p>After this just <code>add</code> the package as above (or <code>build</code> if the package has been already added), the build script will use your <code>polymake</code> installation.</p><h3 id="polymake-from-source"><a class="docs-heading-anchor" href="#polymake-from-source"><code>polymake</code> from source</a><a id="polymake-from-source-1"></a><a class="docs-heading-anchor-permalink" href="#polymake-from-source" title="Permalink"></a></h3><p>A compatible version is available at <a href="https://github.com/polymake/polymake">polymake/polymake</a>. It can be compiled as follows where <code>GIT_FOLDER</code> and <code>INSTALL_FOLDER</code> have to be substituted with your favorite folders. Please note that these need to be absolute paths. Also make sure to check <a href="https://polymake.org/doku.php/howto/install">the necessary dependencies</a> as well as the <a href="https://polymake.org/doku.php/howto/mac">additional instructions for Macs</a>.</p><pre><code class="language-sh hljs">export POLYMAKE_GIT=GIT_FOLDER
+export POLYMAKE_INSTALL=INSTALL_FOLDER
+git clone git@github.com:polymake/polymake $POLYMAKE_GIT
+cd $POLYMAKE_GIT
+./configure --prefix=$POLYMAKE_INSTALL
+ninja -C build/Opt
+ninja -C build/Opt install
+export POLYMAKE_CONFIG=$POLYMAKE_INSTALL/bin/polymake-config</code></pre><p>Note that <code>polymake</code> might take some time to compile.</p><p>After this start Julia and follow the instructions above.</p><p>Note: Self-built polymake will use the standard <code>.polymake</code> config directory (usually <code>$HOME/.polymake</code>).</p><h3 id="Polymake.jl-in-a-separate-environment:"><a class="docs-heading-anchor" href="#Polymake.jl-in-a-separate-environment:"><code>Polymake.jl</code> in a separate environment:</a><a id="Polymake.jl-in-a-separate-environment:-1"></a><a class="docs-heading-anchor-permalink" href="#Polymake.jl-in-a-separate-environment:" title="Permalink"></a></h3><pre><code class="nohighlight hljs">mkdir my_new_env
+cd my_new_env</code></pre><p>Then start Julia in the directory and press <code>]</code> for <code>pkg</code> mode.</p><pre><code class="language-julia hljs">(v1.3) pkg&gt; activate .
+(Polymake) pkg&gt; dev --local Polymake
+(Polymake) pkg&gt; build Polymake # fetches the prebuild polymake binaries
+(Polymake) pkg&gt; test Polymake # and You are good to go!</code></pre><p>If <code>polymake-config</code> is in your <code>PATH</code>, or <code>POLYMAKE_CONFIG</code> environment variable is set the <code>build</code> phase will try to use it.</p><p>Just remember that You need to <code>activate Polymake.jl</code> to use <code>Polymake</code>.</p><h2 id="Getting-Help"><a class="docs-heading-anchor" href="#Getting-Help">Getting Help</a><a id="Getting-Help-1"></a><a class="docs-heading-anchor-permalink" href="#Getting-Help" title="Permalink"></a></h2><p>For basic information on the usage of <code>Polymake.jl</code> we refer to the other sections of this documentation.</p><p>For further details on <code>polymake</code> and its abilities see the <a href="https://polymake.org/doku.php/user_guide/start">Polymake User Guide</a>.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../">« Polymake.jl</a><a class="docs-footer-nextpage" href="../using_polymake_jl/">Using Polymake.jl »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 23 August 2023 21:45">Wednesday 23 August 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Polymake.jl · Polymake.jl - Documentation</title><script data-outdated-warner src="assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="assets/documenter.js"></script><script src="siteinfo.js"></script><script src="../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href>Polymake.jl - Documentation</a></span></div><form class="docs-search" action="search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li class="is-active"><a class="tocitem" href>Polymake.jl</a><ul class="internal"><li><a class="tocitem" href="#Current-state-of-the-polymake-wrapper"><span>Current state of the <code>polymake</code> wrapper</span></a></li><li><a class="tocitem" href="#User-Guide"><span>User Guide</span></a></li><li><a class="tocitem" href="#Funding"><span>Funding</span></a></li></ul></li><li><a class="tocitem" href="getting_started/">Getting Started</a></li><li><a class="tocitem" href="using_polymake_jl/">Using Polymake.jl</a></li><li><a class="tocitem" href="examples/">Examples</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Polymake.jl</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Polymake.jl</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/oscar-system/Polymake.jl/blob/master/docs/src/index.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Polymake.jl"><a class="docs-heading-anchor" href="#Polymake.jl">Polymake.jl</a><a id="Polymake.jl-1"></a><a class="docs-heading-anchor-permalink" href="#Polymake.jl" title="Permalink"></a></h1><p><a href="https://github.com/oscar-system/Polymake.jl"><code>Polymake.jl</code></a> is a Julia package for using <a href="https://polymake.org/doku.php"><code>polymake</code></a>, a software for research in polyhedral geometry from Julia. This package is developed as part of the <a href="https://www.oscar-system.org">OSCAR</a> project.</p><p>The current version of <code>Polymake.jl</code> relies on <code>polymake</code> version <code>4.0</code> or later.</p><h2 id="Current-state-of-the-polymake-wrapper"><a class="docs-heading-anchor" href="#Current-state-of-the-polymake-wrapper">Current state of the <code>polymake</code> wrapper</a><a id="Current-state-of-the-polymake-wrapper-1"></a><a class="docs-heading-anchor-permalink" href="#Current-state-of-the-polymake-wrapper" title="Permalink"></a></h2><h3 id="Data-structures"><a class="docs-heading-anchor" href="#Data-structures">Data structures</a><a id="Data-structures-1"></a><a class="docs-heading-anchor-permalink" href="#Data-structures" title="Permalink"></a></h3><ul><li>Big objects, e.g., Polytopes, can be handled in Julia.</li><li>Several small objects (data types) from <code>polymake</code> are available in <code>Polymake.jl</code>:<ul><li>Integers (<code>Polymake.Integer &lt;: Integer</code>)</li><li>Rationals (<code>Polymake.Rational &lt;: Real</code>)</li><li>Vectors (<code>Polymake.Vector &lt;: AbstractVector</code>) of <code>Int64</code>s, <code>Float64</code>s, <code>Polymake.Integer</code>s and <code>Polymake.Rational</code>s</li><li>Matrices (<code>Polymake.Matrix &lt;: AbstractMatrix</code>) of <code>Int64</code>s, <code>Float64</code>s, <code>Polymake.Integer</code>s and <code>Polymake.Rational</code>s</li><li>Sets (<code>Polymake.Set &lt;: AbstractSet</code>) of <code>Int64</code>s</li><li>Arrays (<code>Polymake.Array &lt;: AbstractVector</code>, as <code>Polymake.Arrays</code> are one-dimensional) of <code>Int64</code>s and <code>Polymake.Integers</code></li><li>some combinations thereof, e.g., <code>Polymake.Array</code>s of <code>Polymake.Sets</code> of <code>Int32</code>s.</li></ul></li></ul><p>These data types can be converted to appropriate Julia types, but are also subtypes of the corresponding Julia abstract types (as indicated above), and so should be accepted by all methods that apply to the abstract types.</p><p><strong>Note</strong>: If the returned small object has not been wrapped in <code>Polymake.jl</code> yet, you will not be able to access its content or in general use it <strong>from Julia</strong>, however you can always pass it back as an argument to a <code>polymake</code> function. Moreover you may try to convert to Julia understandable type via macro <code>@convert_to SomeType{Template, Names} obj</code>.</p><h3 id="Functions"><a class="docs-heading-anchor" href="#Functions">Functions</a><a id="Functions-1"></a><a class="docs-heading-anchor-permalink" href="#Functions" title="Permalink"></a></h3><ul><li>All user functions from <code>polymake</code> are available in the appropriate modules, e.g. <code>homology</code> function from <code>topaz</code> can be called as <code>topaz.homology(...)</code> in julia. We pull the docstrings for functions from <code>polymake</code> as well, so <code>?topaz.homology</code> (in Julia&#39;s REPL) returns the <code>polymake</code> docstring. Note: the syntax presented in the docstring is a <code>polymake</code> syntax, not <code>Polymake.jl</code> one.</li><li>Most of the user functions from <code>polymake</code> are available as <code>appname.funcname(...)</code> in <code>Polymake.jl</code>.  Moreover, any function from <code>polymake</code> <code>C++</code> library can be called via macro call <code>@pm appname.funcname{C++{template, names}}(...)</code>.</li><li>All big objects of <code>polymake</code> can be constructed either via call to constructor, i.e.</li></ul><pre><code class="language-julia hljs">obj = appname.BigObject(args)</code></pre><p>One can specify some templates here as well: <code>polytope.Polytope{Float64}(...)</code> is a valid call, but the list of supported types is rather limited. Please consider filing a bug if a valid call results in <code>polymake</code> error. For more advanced use see section on <a href="using_polymake_jl/#Polymake.@pm"><code>@pm</code></a> macro.</p><ul><li>Properties of big objects are accessible by <code>bigobject.property</code> syntax (as opposed to <code>$bigobject-&gt;property</code> in <code>polymake</code>). If there is a missing property please check if it can be accessed by <code>appname.property(object)</code>. For example <code>polytope.Polytope</code> does not have <code>DIM</code> property in <code>Polymake.jl</code> sinc <code>DIM</code> is exposed as <code>polytope.dim(...)</code> function.</li><li>Methods are available as functions in the appropriate modules, with the first argument as the object, i.e. <code>$bigobj-&gt;methodname(...)</code> can be called via <code>appname.methodname(bigobj, ...)</code></li><li>A function in <code>Polymake.jl</code> calling <code>polymake</code> may return a big or small object, and the generic return (<code>PropertyValue</code>) is transparently converted to one of the known data types. This conversion can be deactivated by adding <code>keep_PropertyValue=true</code> keyword argument to function/method call.</li></ul><h2 id="User-Guide"><a class="docs-heading-anchor" href="#User-Guide">User Guide</a><a id="User-Guide-1"></a><a class="docs-heading-anchor-permalink" href="#User-Guide" title="Permalink"></a></h2><ul><li><a href="getting_started/#Getting-Started">Getting Started</a></li><li><a href="using_polymake_jl/#Using-Polymake.jl">Using Polymake.jl</a></li><li><a href="examples/#Examples">Examples</a></li></ul><h2 id="Funding"><a class="docs-heading-anchor" href="#Funding">Funding</a><a id="Funding-1"></a><a class="docs-heading-anchor-permalink" href="#Funding" title="Permalink"></a></h2><p>The development of this Julia package is supported by the Deutsche Forschungsgemeinschaft DFG within the <a href="https://www.computeralgebra.de/sfb/">Collaborative Research Center TRR 195</a>.</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="getting_started/">Getting Started »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 23 August 2023 21:45">Wednesday 23 August 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Search · Polymake.jl - Documentation</title><script data-outdated-warner src="../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../assets/documenter.js"></script><script src="../siteinfo.js"></script><script src="../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../">Polymake.jl - Documentation</a></span></div><form class="docs-search" action><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../">Polymake.jl</a></li><li><a class="tocitem" href="../getting_started/">Getting Started</a></li><li><a class="tocitem" href="../using_polymake_jl/">Using Polymake.jl</a></li><li><a class="tocitem" href="../examples/">Examples</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Search</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Search</a></li></ul></nav><div class="docs-right"><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article><p id="documenter-search-info">Loading search...</p><ul id="documenter-search-results"></ul></article><nav class="docs-footer"><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 23 August 2023 21:45">Wednesday 23 August 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body><script src="../search_index.js"></script><script src="../assets/search.js"></script></html>
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+var documenterSearchIndex = {"docs":
+[{"location":"using_polymake_jl/#Using-Polymake.jl","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"","category":"section"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"In this section, the main functionality of Polymake.jl is covered: how to access polymake's powerful abilities. For this cause one needs to know how to call polymake methods and how to handle the supported types.","category":"page"},{"location":"using_polymake_jl/#Executing-Polymake-Methods","page":"Using Polymake.jl","title":"Executing Polymake Methods","text":"","category":"section"},{"location":"using_polymake_jl/#Directly-calling-a-polymake-method","page":"Using Polymake.jl","title":"Directly calling a polymake method","text":"","category":"section"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"One of the simplest yet most useful possibilities Polymake.jl offers is to directly use a polymake method via the following macro:","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"@pm","category":"page"},{"location":"using_polymake_jl/#Polymake.@pm","page":"Using Polymake.jl","title":"Polymake.@pm","text":"@pm polymakeapp.function_name{Template, parameters}(args)\n\nThis macro can be used to\n\ncreate polymake Big Objects (such as polytopes)\ncall polymake functions with specific template parameters.\n\nThe expression passed to the macro has to be:\n\na fully qualified name of a polymake object (i.e. starting with the\n\nlowercase name of a polymake application), or\n\na function with template parameters enclosed in { ... }.\n\nExamples\n\njulia> P = @pm polytope.Polytope{QuadraticExtension}(POINTS=[1 0 0; 0 1 0])\ntype: Polytope<QuadraticExtension<Rational>>\n\nPOINTS\n1 0 0\n0 1 0\n\n\n\njulia> @pm common.convert_to{Float}(P)\ntype: Polytope<Float>\n\nPOINTS\n1 0 0\n0 1 0\n\n\nCONE_AMBIENT_DIM\n3\n\n\n\njulia> @pm tropical.Polytope{Max}(POINTS=[1 0 0; 0 1 0])\ntype: Polytope<Max, Rational>\n\nPOINTS\n0 -1 -1\n0 1 0\n\n\n\n\n!!! Note     the expression in @pm macro is parsed syntactically, so it has to be a valid julia expression. However template parameters need not to be defined in julia, but must be valid names of polymake property types. Nested types (such as {QuadraticExtension{Rational}}) are allowed.\n\n\n\n\n\n","category":"macro"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"The @pm macro can be used to issue more complicated calls to polymake from julia. If You need to pass templates to BigObjects, some limited support is provided in costructors. For example one can construct polytope.Polytope{Float64}(...). However for this to work templates need to be valid julia types/object, hence it is not possible to construct a Polytope<QuadraticExtension> through such call. For this (and in general: for passing more complicated templates) one needs the @pm macro:","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"$obj = new BigObject<Template,Parameters>(args)","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"becomes","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"obj = @pm appname.BigObject{Template, Parameters}(args)","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"Examples:","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"tropical.Polytope{max, Polymake.Rational}(POINTS=[1 0 0; 1 1 0; 1 1 1])\n# call to constructor, note that max is a julia function, hence a valid object\n@pm tropical.Polytope{Max, QuadraticExtension}(POINTS=[1 0 0; 1 1 0; 1 1 1])\n# macro call: none of the types in templates need to exist in julia","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"As a rule of thumb any template passed to @pm macro needs to be translatable on syntax level to a C++ one. E.g. Matrix{Integer} works, as it translates to pm::Matrix<pm::Integer>.","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"Such templates can be passed to functions as well. A very useful example is the common.convert_to:","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"julia> c = polytope.cube(3);\n\njulia> f = c.FACETS;\n\njulia> f[1,1] # f is an opaque pm::perl::PropertyValue to julia\nERROR: MethodError: no method matching getindex(::Polymake.PropertyValueAllocated, ::Int64, ::Int64)\nStacktrace:\n  [...]\n\njulia> m = @pm common.convert_to{Matrix{Integer}}(f) # the template must consist of C++ names\npm::Matrix<pm::Integer>\n1 1 0 0\n1 -1 0 0\n1 0 1 0\n1 0 -1 0\n1 0 0 1\n1 0 0 -1\n\njulia> m[1,1]\n1","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"Since the combination of the @pm macro and common.convert_to is quite common there is a specialized @convert_to macro for this:","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"\njulia> m = @convert_to Matrix{Integer} f # the template must consist of C++ names\npm::Matrix<pm::Integer>\n1 1 0 0\n1 -1 0 0\n1 0 1 0\n1 0 -1 0\n1 0 0 1\n1 0 0 -1","category":"page"},{"location":"using_polymake_jl/#Wrapped-methods","page":"Using Polymake.jl","title":"Wrapped methods","text":"","category":"section"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"As the @pm macro allows to access polymake's library, there is no need for every method to be wrapped. In general, the wrapped methods restrict to simpler ones in the context of small types, guaranteeing compatibility with julia or allowing easy modification/operations of/with instances of these types. This results in a handling of these types which is equivalent to julia's syntax, e.g. arrays can be accessed with the brackets operator [] or addition can be applied by using +:","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"julia> m = Polymake.Matrix{Polymake.Rational}(4,6)\npm::Matrix<pm::Rational>\n0 0 0 0 0 0\n0 0 0 0 0 0\n0 0 0 0 0 0\n0 0 0 0 0 0\n\n\njulia> m[2,1] = 9\n9\n\njulia> m\npm::Matrix<pm::Rational>\n0 0 0 0 0 0\n9 0 0 0 0 0\n0 0 0 0 0 0\n0 0 0 0 0 0\n\njulia> a = Polymake.TropicalNumber{Polymake.Min}(7)\npm::TropicalNumber<pm::Min, pm::Rational>\n7\n\njulia> b = Polymake.TropicalNumber{Polymake.Min}(10)\npm::TropicalNumber<pm::Min, pm::Rational>\n10\n\njulia> a + b\npm::TropicalNumber<pm::Min, pm::Rational>\n7","category":"page"},{"location":"using_polymake_jl/#Function-Arguments","page":"Using Polymake.jl","title":"Function Arguments","text":"","category":"section"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"Functions in Polymake.jl accept the following types for their arguments:","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"simple data types (bools, machine integers, floats)\nwrapped native types (Polymake.Integer, Polymake.Rational, Polymake.Vector, Polymake.Matrix, Polymake.Set etc.)\nother objects returned by polymake:\nPolymake.BigObject,\nPolymake.PropertyValue (containers opaque to Julia)","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"If an object passed to Polymake.jl function is of a different type the software will try its best to convert it to a known one. However, if the conversion doesn't work an ArgumentError will be thrown:","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"ERROR: ArgumentError: Unrecognized argument type: SomeType.\nYou need to convert to polymake compatible type first.","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"You can tell Polymake.jl how to convert it by definig","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"Base.convert(::Type{Polymake.PolymakeType}, x::SomeType)","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"The returned value must be of one of the types as above. For example to use AbstractAlgebra.jl matrices as input to Polymake.jl one may define","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"Base.convert(::Type{Polymake.PolymakeType}, M::Generic.MatSpaceElem) = Polymake.Matrix(M.entries)","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"and the following should run smoothly.","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"julia> using AbstractAlgebra, Polymake\npolymake version 4.0\nCopyright (c) 1997-2020\nEwgenij Gawrilow, Michael Joswig (TU Berlin)\nhttps://polymake.org\n\nThis is free software licensed under GPL; see the source for copying conditions.\nThere is NO warranty; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.\n\n\njulia> mm = AbstractAlgebra.matrix(ZZ, [1 2 3; 4 5 6])\n[1 2 3]\n[4 5 6]\n\njulia> polytope.Polytope(POINTS=mm)\nERROR: ArgumentError: Unrecognized argument type: AbstractAlgebra.Generic.MatSpaceElem{Int64}.\nYou need to convert to polymake compatible type first.\n  [...]\n\njulia> Base.convert(::Type{Polymake.PolymakeType}, M::Generic.MatSpaceElem) = Polymake.Matrix(M.entries)\n\njulia> polytope.Polytope(POINTS=mm)\ntype: Polytope<Rational>\n\nPOINTS\n1 2 3\n1 5/4 3/2\n","category":"page"},{"location":"using_polymake_jl/#Accessing-the-polyDB","page":"Using Polymake.jl","title":"Accessing the polyDB","text":"","category":"section"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"CurrentModule = Polymake.Polydb","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"Polymake.jl allows the user to access the objects stored within the polyDB via the Mongoc.jl package; this functionality can be found in another sub-module, Polymake.Polydb, which requires no additional interaction to be loaded. It offers two different ways for querying, as well as some methods for information. For demonstration purposes, there also is a Jupyter notebook in the examples/ folder.","category":"page"},{"location":"using_polymake_jl/#General-tools","page":"Using Polymake.jl","title":"General tools","text":"","category":"section"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"There are three types one needs to know when working with Polymake.Polydb:","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"Database\nCollection\nCursor","category":"page"},{"location":"using_polymake_jl/#Polymake.Polydb.Database","page":"Using Polymake.jl","title":"Polymake.Polydb.Database","text":"  Database\n\nType for referencing a specific database (usually the polyDB)\n\n\n\n\n\n","category":"type"},{"location":"using_polymake_jl/#Polymake.Polydb.Collection","page":"Using Polymake.jl","title":"Polymake.Polydb.Collection","text":"  Collection{T}\n\nType for referencing a specific collection. T<:Union{Polymake.BigObject, Mongoc.BSON} defines the template and/or element types returned by operations applied on objects of this type.\n\n\n\n\n\n","category":"type"},{"location":"using_polymake_jl/#Polymake.Polydb.Cursor","page":"Using Polymake.jl","title":"Polymake.Polydb.Cursor","text":"  Cursor{T}\n\nType containing the results of a query. Can be iterated, but the iterator can not be reset. For this cause, one has to query again. T<:Union{Polymake.BigObject, Mongoc.BSON} defines the element types.\n\n\n\n\n\n","category":"type"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"To receive the Database object referencing to the polyDB, there is the get_db() method:","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"get_db()","category":"page"},{"location":"using_polymake_jl/#Polymake.Polydb.get_db-Tuple{}","page":"Using Polymake.jl","title":"Polymake.Polydb.get_db","text":"  get_db()\n\nConnect to the polyDB and return Database instance.\n\nThe uri of the server can be set in advance by writing its String representation into ENV[\"POLYDBTESTURI\"]. (used to connect to the github services container for testing)\n\nExamples\n\njulia> db = Polymake.Polydb.get_db();\n\njulia> typeof(db)\nPolymake.Polydb.Database\n\n\n\n\n\n","category":"method"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"A specific Collection object can then be obtained with the brackets operator:","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"getindex(::Database, ::String)","category":"page"},{"location":"using_polymake_jl/#Base.getindex-Tuple{Polymake.Polydb.Database, String}","page":"Using Polymake.jl","title":"Base.getindex","text":"  getindex(db::Database, name::AbstractString)\n\nReturn a Polymake.Polydb.Collection{Polymake.BigObject} instance from db with the given name. Sections and collections in the name are connected with the '.' sign.\n\nExamples\n\njulia> db = Polymake.Polydb.get_db();\n\njulia> collection = getindex(db, \"Polytopes.Lattice.SmoothReflexive\")\nPolymake.Polydb.Collection{Polymake.BigObject}: Polytopes.Lattice.SmoothReflexive\n\njulia> collection = db[\"Matroids.Small\"]\nPolymake.Polydb.Collection{Polymake.BigObject}: Matroids.Small\n\n\n\n\n\n","category":"method"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"By default, the results are parsed to Polymake.BigObjects when accessed, but one may choose to change this behaviour by adjusting the typing template of Collection or Cursor using the following method:","category":"page"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"Collection(::Collection)","category":"page"},{"location":"using_polymake_jl/#Polymake.Polydb.Collection-Tuple{Polymake.Polydb.Collection}","page":"Using Polymake.jl","title":"Polymake.Polydb.Collection","text":"  Collection{T}(c::Collection)\n\nCreate another Collection object with a specific template parameter referencing the same collection as c. T can be chosen from Polymake.BigObject and Mongoc.BSON.\n\nExamples\n\njulia> db = Polymake.Polydb.get_db();\n\njulia> collection = db[\"Polytopes.Lattice.SmoothReflexive\"]\nPolymake.Polydb.Collection{Polymake.BigObject}: Polytopes.Lattice.SmoothReflexive\n\njulia> collection_bson = Polymake.Polydb.Collection{Mongoc.BSON}(collection)\nPolymake.Polydb.Collection{Mongoc.BSON}: Polytopes.Lattice.SmoothReflexive\n\njulia> collection_bo = Polymake.Polydb.Collection{Polymake.BigObject}(collection_bson)\nPolymake.Polydb.Collection{Polymake.BigObject}: Polytopes.Lattice.SmoothReflexive\n\n\n\n\n\n","category":"method"},{"location":"using_polymake_jl/#Information","page":"Using Polymake.jl","title":"Information","text":"","category":"section"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"info\nget_collection_names\nget_fields","category":"page"},{"location":"using_polymake_jl/#Polymake.Polydb.info","page":"Using Polymake.jl","title":"Polymake.Polydb.info","text":"  info(db::Database, level::Base.Integer=1)\n\nPrint a structured list of the sections and collections of the Polydb together with information about each of these (if existent).\n\nDetail of the output determined by value of level:\n\n1: short description,\n2: description,\n3: description, authors, maintainers,\n4: full info,\n5: full info and list of recommended search fields.\n\n\n\n\n\n  info(c::Collection, level::Base.Integer=1)\n\nPrint information about collection c (if existent).\n\nDetail of the output determined by value of level:\n\n1: short description,\n2: description,\n3: description, authors, maintainers,\n4: full info,\n5: full info and list of recommended search fields.\n\n\n\n\n\n","category":"function"},{"location":"using_polymake_jl/#Polymake.Polydb.get_collection_names","page":"Using Polymake.jl","title":"Polymake.Polydb.get_collection_names","text":"  get_collection_names(db::Database)\n\nReturn a Vector{String} containing the names of all collections in the Polydb, excluding meta collections.\n\nExamples\n\njulia> db = Polymake.Polydb.get_db();\n\njulia> Polymake.Polydb.get_collection_names(db)\n16-element Vector{String}:\n \"Polytopes.Combinatorial.FacesBirkhoffPolytope\"\n \"Polytopes.Combinatorial.SmallSpheresDim4\"\n \"Polytopes.Geometric.01Polytopes\"\n \"Polytopes.Lattice.SmoothReflexive\"\n \"Polytopes.Lattice.ExceptionalMaximalHollow\"\n \"Tropical.TOM\"\n ⋮\n \"Polytopes.Lattice.Panoptigons\"\n \"Tropical.Cubics\"\n \"Tropical.SchlaefliFan\"\n \"Polytopes.Lattice.Reflexive\"\n \"Polytopes.Combinatorial.CombinatorialTypes\"\n\n\n\n\n\n","category":"function"},{"location":"using_polymake_jl/#Polymake.Polydb.get_fields","page":"Using Polymake.jl","title":"Polymake.Polydb.get_fields","text":"  get_fields(c::Collection)\n\nReturn a Vector{String} containing the names of the fields of c.\n\nExamples\n\njulia> db = Polymake.Polydb.get_db();\n\njulia> collection = db[\"Matroids.Small\"]\nPolymake.Polydb.Collection{Polymake.BigObject}: Matroids.Small\n\njulia> Polymake.Polydb.get_fields(collection)\n27-element Vector{String}:\n \"DUAL\"\n \"N_BASES\"\n \"TUTTE_POLYNOMIAL\"\n \"SERIES_PARALLEL\"\n \"N_FLATS\"\n \"SPLIT_FLACETS\"\n ⋮\n \"TERNARY\"\n \"REGULAR\"\n \"TRANSVERSAL\"\n \"IDENTICALLY_SELF_DUAL\"\n \"BETA_INVARIANT\"\n\n\n\n\n\n","category":"function"},{"location":"using_polymake_jl/#Querying","page":"Using Polymake.jl","title":"Querying","text":"","category":"section"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"There are two ways for querying within Polymake.jl.","category":"page"},{"location":"using_polymake_jl/#Methods","page":"Using Polymake.jl","title":"Methods","text":"","category":"section"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"find","category":"page"},{"location":"using_polymake_jl/#Mongoc.find","page":"Using Polymake.jl","title":"Mongoc.find","text":"find(collection::Collection, bson_filter::BSON=BSON();\n    options::Union{Nothing, BSON}=nothing) :: Cursor\n\nExecutes a query on collection and returns an iterable Cursor.\n\nExample\n\nfunction find_contract_codes(collection, criteria::Dict=Dict()) :: Vector{String}\n    result = Vector{String}()\n\n    let\n        bson_filter = Mongoc.BSON(criteria)\n        bson_options = Mongoc.BSON(\"\"\"{ \"projection\" : { \"_id\" : true }, \"sort\" : { \"_id\" : 1 } }\"\"\")\n        for bson_document in Mongoc.find(collection, bson_filter, options=bson_options)\n            push!(result, bson_document[\"_id\"])\n        end\n    end\n\n    return result\nend\n\nCheck the libmongoc documentation for more information.\n\n\n\n\n\nfind(bucket::Bucket, bson_filter::BSON=BSON();\n    options::BSON=BSON()) :: Cursor\n\nLooks for files in GridFS bucket.\n\n\n\n\n\n  find(c::Collection{T}, d::Dict=Dict(); opts::Union{Nothing, Dict})\n\nSearch a collection c for documents matching the criteria given by d. Apply search options opts.\n\nExamples\n\njulia> db = Polymake.Polydb.get_db();\n\njulia> collection = db[\"Polytopes.Lattice.SmoothReflexive\"];\n\njulia> query = Dict(\"DIM\"=>3, \"N_FACETS\"=>5);\n\njulia> results = Polymake.Polydb.find(collection, query);\n\njulia> typeof(results)\nPolymake.Polydb.Cursor{Polymake.BigObject}\n\n\n\n\n\n  find(c::Collection{T}, d::Pair...)\n\nSearch a collection c for documents matching the criteria given by d.\n\nExamples\n\njulia> db = Polymake.Polydb.get_db();\n\njulia> collection = db[\"Polytopes.Lattice.SmoothReflexive\"];\n\njulia> results = Polymake.Polydb.find(collection, \"DIM\"=>3, \"N_FACETS\"=>5);\n\njulia> typeof(results)\nPolymake.Polydb.Cursor{Polymake.BigObject}\n\n\n\n\n\n","category":"function"},{"location":"using_polymake_jl/#Macros","page":"Using Polymake.jl","title":"Macros","text":"","category":"section"},{"location":"using_polymake_jl/","page":"Using Polymake.jl","title":"Using Polymake.jl","text":"@select\n@filter\n@map","category":"page"},{"location":"using_polymake_jl/#Polymake.Polydb.@select","page":"Using Polymake.jl","title":"Polymake.Polydb.@select","text":"Polymake.Polydb.@select collectionName\n\nThis macro can be used as part of a chain for easy (i.e. human readable) querying. Generate a method asking a container for the entry with key collectionName.\n\nSee also: @filter, @map\n\nExamples\n\njulia> db = Polymake.Polydb.get_db();\n\njulia> collection = db |>\n       Polymake.Polydb.@select(\"Polytopes.Lattice.SmoothReflexive\")\nPolymake.Polydb.Collection{Polymake.BigObject}: Polytopes.Lattice.SmoothReflexive\n\n\n\n\n\n","category":"macro"},{"location":"using_polymake_jl/#Polymake.Polydb.@filter","page":"Using Polymake.jl","title":"Polymake.Polydb.@filter","text":"Polymake.Polydb.@filter conditions...\n\nThis macro can be used as part of a chain for easy (i.e. human readable) querying. Convert conditions into the corresponding Dict and generate a method expanding its input by this Dict. Multiple conditions can be passed in the same line and/or in different lines.\n\nSee also: @select, @map\n\nExamples\n\njulia> db = Polymake.Polydb.get_db();\n\njulia> query_tuple = db |>\n       Polymake.Polydb.@select(\"Polytopes.Lattice.SmoothReflexive\") |>\n       Polymake.Polydb.@filter(\"DIM\" <= 3) |>\n       Polymake.Polydb.@filter(\"N_VERTICES\" == 8)\n(Polymake.Polydb.Collection{Polymake.BigObject}\n    COLLECTION: Polytopes.Lattice.SmoothReflexive\n    Smooth reflexive lattice polytopes in dimensions up to 9, up to lattice equivalence. The lists were computed with the algorithm of Mikkel Oebro (see [[http://arxiv.org/abs/0704.0049|arxiv: 0704.0049]]) and are taken from the [[http://polymake.org/polytopes/paffenholz/www/fano.html|website of Andreas Paffenholz]]. They also contain splitting data according to [[https://arxiv.org/abs/1711.02936| arxiv: 1711.02936]].\n    Authored by\n        Andreas Paffenholz, paffenholz@opt.tu-darmstadt.de, TU Darmstadt\n        Benjamin Lorenz, paffenholz@opt.tu-darmstadt.de, TU Berlin\n        Mikkel Oebro\n    Fields: AFFINE_HULL, CONE_DIM, DIM, EHRHART_POLYNOMIAL, F_VECTOR, FACET_SIZES, FACET_WIDTHS, FACETS, H_STAR_VECTOR, LATTICE_DEGREE, LATTICE_VOLUME, LINEALITY_SPACE, N_BOUNDARY_LATTICE_POINTS, N_EDGES, N_FACETS, N_INTERIOR_LATTICE_POINTS, N_LATTICE_POINTS, N_RIDGES, N_VERTICES, REFLEXIVE, SMOOTH, SELF_DUAL, SIMPLE, TERMINAL, VERTEX_SIZES, VERTICES, VERTICES_IN_FACETS, VERY_AMPLE, ALTSHULER_DET, BALANCED, CENTROID, DIAMETER, NORMAL, N_HILBERT_BASIS, IS_PRISM, IS_PRODUCT, IS_SKEW_PRISM, IS_SIMPLEX_SUM, PRISM_BASE, PRODUCT_FACTORS, SIMPLEX_SUM_BASES, SKEW_PRISM_BASES, Dict{String,Any}(\"DIM\" => Dict{String,Any}(\"$lte\" => 3),\"N_VERTICES\" => Dict{String,Any}(\"$eq\" => 8)))\n\njulia> query_tuple = db |>\n       Polymake.Polydb.@select(\"Polytopes.Lattice.SmoothReflexive\") |>\n       Polymake.Polydb.@filter(\"DIM\" <= 3, \"N_VERTICES\" == 8)\n(Polymake.Polydb.Collection{Polymake.BigObject}\n    COLLECTION: Polytopes.Lattice.SmoothReflexive\n    Smooth reflexive lattice polytopes in dimensions up to 9, up to lattice equivalence. The lists were computed with the algorithm of Mikkel Oebro (see [[http://arxiv.org/abs/0704.0049|arxiv: 0704.0049]]) and are taken from the [[http://polymake.org/polytopes/paffenholz/www/fano.html|website of Andreas Paffenholz]]. They also contain splitting data according to [[https://arxiv.org/abs/1711.02936| arxiv: 1711.02936]].\n    Authored by\n        Andreas Paffenholz, paffenholz@opt.tu-darmstadt.de, TU Darmstadt\n        Benjamin Lorenz, paffenholz@opt.tu-darmstadt.de, TU Berlin\n        Mikkel Oebro\n    Fields: AFFINE_HULL, CONE_DIM, DIM, EHRHART_POLYNOMIAL, F_VECTOR, FACET_SIZES, FACET_WIDTHS, FACETS, H_STAR_VECTOR, LATTICE_DEGREE, LATTICE_VOLUME, LINEALITY_SPACE, N_BOUNDARY_LATTICE_POINTS, N_EDGES, N_FACETS, N_INTERIOR_LATTICE_POINTS, N_LATTICE_POINTS, N_RIDGES, N_VERTICES, REFLEXIVE, SMOOTH, SELF_DUAL, SIMPLE, TERMINAL, VERTEX_SIZES, VERTICES, VERTICES_IN_FACETS, VERY_AMPLE, ALTSHULER_DET, BALANCED, CENTROID, DIAMETER, NORMAL, N_HILBERT_BASIS, IS_PRISM, IS_PRODUCT, IS_SKEW_PRISM, IS_SIMPLEX_SUM, PRISM_BASE, PRODUCT_FACTORS, SIMPLEX_SUM_BASES, SKEW_PRISM_BASES, Dict{String,Any}(\"DIM\" => Dict{String,Any}(\"$lte\" => 3),\"N_VERTICES\" => Dict{String,Any}(\"$eq\" => 8)))\n\n\n\n\n\n","category":"macro"},{"location":"using_polymake_jl/#Polymake.Polydb.@map","page":"Using Polymake.jl","title":"Polymake.Polydb.@map","text":"Polymake.Polydb.@map [optFields...]\n\nThis macro can be used as part of a chain for easy (i.e. human readable) querying. Generate a method running a query given a Tuple{Collection, Dict}. If optFields are given (as Strings), the results only contain the stated fields and the objects metadata.\n\nSee also: @select, @filter\n\nExamples\n\njulia> db = Polymake.Polydb.get_db();\n\njulia> results = db |>\n       Polymake.Polydb.@select(\"Polytopes.Lattice.SmoothReflexive\") |>\n       Polymake.Polydb.@filter(\"DIM\" == 3, \"N_VERTICES\" == 8) |>\n       Polymake.Polydb.@map() |>\n       collect\n7-element Vector{Polymake.BigObject}:\n Polymake.BigObjectAllocated(Ptr{Nothing} @0x00000000028c5320)\n Polymake.BigObjectAllocated(Ptr{Nothing} @0x000000000abd7b40)\n Polymake.BigObjectAllocated(Ptr{Nothing} @0x000000000a6d7bf0)\n Polymake.BigObjectAllocated(Ptr{Nothing} @0x000000000a431470)\n Polymake.BigObjectAllocated(Ptr{Nothing} @0x000000000bcaf290)\n Polymake.BigObjectAllocated(Ptr{Nothing} @0x00000000098fb670)\n Polymake.BigObjectAllocated(Ptr{Nothing} @0x000000000a1ba460)\n\n\n\n\n\n","category":"macro"},{"location":"getting_started/#Getting-Started","page":"Getting Started","title":"Getting Started","text":"","category":"section"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"This page covers the installation of Polymake.jl and where to find help.","category":"page"},{"location":"getting_started/#Installation","page":"Getting Started","title":"Installation","text":"","category":"section"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"The installation can be done in the Julia's REPL by executing","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"julia> using Pkg; Pkg.add(\"Polymake\")","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"This will fetch a pre-built binary of polymake. You are ready to start using Polymake.","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"Note: Pre-built binaries are available for the Linux and macOS platform, but the macOS binaries are considered experimental. Windows users are encouraged to try running Julia inside Window Subsystem for Linux and reporting back ;)","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"Note: Pre-built polymake will use a separate .polymake config directory (usually joinpath(homedir(), \".julia\", \"polymake_user\")).","category":"page"},{"location":"getting_started/#Your-own-installation-of-polymake","page":"Getting Started","title":"Your own installation of polymake","text":"","category":"section"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"If you already have a recent enough version of polymake (i.e. >=4.0) on your system and you want to use this version of polymake, you either need to","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"set the environment variable POLYMAKE_CONFIG=yes and make polymake-config available in your PATH or\nset the environment variable POLYMAKE_CONFIG to the full path of the polymake-config executable.","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"After this just add the package as above (or build if the package has been already added), the build script will use your polymake installation.","category":"page"},{"location":"getting_started/#polymake-from-source","page":"Getting Started","title":"polymake from source","text":"","category":"section"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"A compatible version is available at polymake/polymake. It can be compiled as follows where GIT_FOLDER and INSTALL_FOLDER have to be substituted with your favorite folders. Please note that these need to be absolute paths. Also make sure to check the necessary dependencies as well as the additional instructions for Macs.","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"export POLYMAKE_GIT=GIT_FOLDER\nexport POLYMAKE_INSTALL=INSTALL_FOLDER\ngit clone git@github.com:polymake/polymake $POLYMAKE_GIT\ncd $POLYMAKE_GIT\n./configure --prefix=$POLYMAKE_INSTALL\nninja -C build/Opt\nninja -C build/Opt install\nexport POLYMAKE_CONFIG=$POLYMAKE_INSTALL/bin/polymake-config","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"Note that polymake might take some time to compile.","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"After this start Julia and follow the instructions above.","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"Note: Self-built polymake will use the standard .polymake config directory (usually $HOME/.polymake).","category":"page"},{"location":"getting_started/#Polymake.jl-in-a-separate-environment:","page":"Getting Started","title":"Polymake.jl in a separate environment:","text":"","category":"section"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"mkdir my_new_env\ncd my_new_env","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"Then start Julia in the directory and press ] for pkg mode.","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"(v1.3) pkg> activate .\n(Polymake) pkg> dev --local Polymake\n(Polymake) pkg> build Polymake # fetches the prebuild polymake binaries\n(Polymake) pkg> test Polymake # and You are good to go!","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"If polymake-config is in your PATH, or POLYMAKE_CONFIG environment variable is set the build phase will try to use it.","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"Just remember that You need to activate Polymake.jl to use Polymake.","category":"page"},{"location":"getting_started/#Getting-Help","page":"Getting Started","title":"Getting Help","text":"","category":"section"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"For basic information on the usage of Polymake.jl we refer to the other sections of this documentation.","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"For further details on polymake and its abilities see the Polymake User Guide.","category":"page"},{"location":"examples/#Examples","page":"Examples","title":"Examples","text":"","category":"section"},{"location":"examples/","page":"Examples","title":"Examples","text":"In this section we just highlight various possible uses of Polymake.jl. Please refer to Polymake syntax translation for more thorough treatment.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"polymake big objects (like Polytope, Cone, etc) constructors live within modules named after polymake applications, e.g.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"# Call the Polytope constructor\njulia> p = polytope.Polytope(POINTS=[1 -1 -1; 1 1 -1; 1 -1 1; 1 1 1; 1 0 0])\ntype: Polytope<Rational>\n\nPOINTS\n1 -1 -1\n1 1 -1\n1 -1 1\n1 1 1\n1 0 0\n","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"Parameters to constructors can be passed as keyword arguments only. All the keys must be compatible with polymake input attribute names.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"Properties of such objects can be accessed by the . syntax:","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia> p.INTERIOR_LATTICE_POINTS\npm::Matrix<pm::Integer>\n1 0 0","category":"page"},{"location":"examples/#Example-script","page":"Examples","title":"Example script","text":"","category":"section"},{"location":"examples/","page":"Examples","title":"Examples","text":"The following script is modelled on the one from the Using Perl within polymake tutorial:","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"using Polymake\n\nstr = read(\"points.demo\", String)\n# eval/parse is a hack for Rational input, don't do this at home!\nmatrix_str = \"[\"*replace(str, \"/\"=>\"//\")*\"]\"\nmatrix = eval(Meta.parse(matrix_str))\n@show matrix\n\np = polytope.Polytope(POINTS=matrix)\n\n@show p.FACETS # polymake matrix of polymake rationals\n@show polytope.dim(p) # Julia Int64\n# note that even in Polymake property DIM is \"fake\" -- it's actually a function\n@show p.VERTEX_SIZES # polymake array of ints\n@show p.VERTICES\n\nfor (i, vsize) in enumerate(p.VERTEX_SIZES)\n  if vsize == polytope.dim(p)\n    println(\"$i : $(p.VERTICES[i,:])\")\n    # $i will be shifted by one from the polymake version\n  end\nend\n\nsimple_verts = [i for (i, vsize) in enumerate(p.VERTEX_SIZES) if vsize == polytope.dim(p)] # Julia vector of Int64s\n\nspecial_points = p.VERTICES[simple_verts, :] # polymake Matrix of rationals\n@show special_points;","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"The script included (i.e. in running REPL execute include(\"example_script.jl\");) produces the following output:","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"matrix = Rational{Int64}[1//1 0//1 0//1 0//1; 1//1 1//16 1//4 1//16; 1//1 3//8 1//4 1//32; 1//1 1//4 3//8 1//32; 1//1 1//16 1//16 1//4; 1//1 1//32 3//8 1//4; 1//1 1//4 1//16 1//16; 1//1 1//32 1//4 3//8; 1//1 3//8 1//32 1//4; 1//1 1//4 1//32 3//8]\np.FACETS = pm::Matrix<pm::Rational>\n0 -1 20/7 8/7\n0 -1 20 -1\n0 20/7 -1 8/7\n0 20/7 8/7 -1\n0 20 -1 -1\n1 16/3 16/3 -20/3\n0 8/7 20/7 -1\n0 8/7 -1 20/7\n1 16/3 -20/3 16/3\n0 -1 -1 20\n0 -1 8/7 20/7\n1 -20/3 16/3 16/3\n1 -32/21 -32/21 -32/21\n\n(Polymake.Polytope).dim(p) = 3\np.VERTEX_SIZES = pm::Array<int>\n9 3 4 4 3 4 3 4 4 4\np.VERTICES = pm::Matrix<pm::Rational>\n1 0 0 0\n1 1/16 1/4 1/16\n1 3/8 1/4 1/32\n1 1/4 3/8 1/32\n1 1/16 1/16 1/4\n1 1/32 3/8 1/4\n1 1/4 1/16 1/16\n1 1/32 1/4 3/8\n1 3/8 1/32 1/4\n1 1/4 1/32 3/8\n\n2 : pm::Vector<pm::Rational>\n1 1/16 1/4 1/16\n5 : pm::Vector<pm::Rational>\n1 1/16 1/16 1/4\n7 : pm::Vector<pm::Rational>\n1 1/4 1/16 1/16\nspecial_points = pm::Matrix<pm::Rational>\n1 1/16 1/4 1/16\n1 1/16 1/16 1/4\n1 1/4 1/16 1/16\n\n","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"As can be seen we show consecutive steps of computations: the input matrix, FACETS, then we ask for VERTEX_SIZES, which triggers the convex hull computation. Then we show vertices and print those corresponding to simple vertices. Finally we collect them in special_points.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"Observe that a polymake matrix (Polymake.Matrix) implements julia abstract array interface: p.VERTICES[2,:] returns a 1-dimensional slice (i.e. Polymake.Vector), while passing a set of indices (p.VERTICES[special_points, :]) returns a 2-dimensional one.","category":"page"},{"location":"examples/#Notes:","page":"Examples","title":"Notes:","text":"","category":"section"},{"location":"examples/","page":"Examples","title":"Examples","text":"The same minor (up to permutation of rows) could be obtained by using sets: either julia or polymake ones. However since by default one can not index arrays with sets, we need to collect them first:","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"simple_verts = Set(i for (i, vsize) in enumerate(p.VERTEX_SIZES) if vsize == polytope.dim(p)) # Julia set of Int64s\n\nsimple_verts = Polymake.Set(i for (i, vsize) in enumerate(p.VERTEX_SIZES) if vsize == polytope.dim(p)) # polymake set of longs\n\nspecial_points = p.VERTICES[collect(simple_verts), :]","category":"page"},{"location":"examples/#Polymake-syntax-translation","page":"Examples","title":"Polymake syntax translation","text":"","category":"section"},{"location":"examples/","page":"Examples","title":"Examples","text":"The following tables explain by example how to quickly translate polymake syntax to Polymake.jl.","category":"page"},{"location":"examples/#Variables","page":"Examples","title":"Variables","text":"","category":"section"},{"location":"examples/","page":"Examples","title":"Examples","text":"<table>\n  <tr>\n    <th>\n      Polymake\n    </th>\n    <th>\n      Julia\n    </th>\n  </tr>\n  <tr>\n    <td>\n      <code>$p</code> (reference to 'scalar' variable)\n    </td>\n    <td>\n      <code>p</code> (reference to any variable)\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>print $p;</code>\n    </td>\n    <td>\n      <code>print(p)</code> or <code>println(p)</code> or <code>@show p</code>, or just <code>p</code> in REPL\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>$i=5; $j=6;</code>\n    </td>\n    <td>\n      <code>i,j = 5,6</code> or <code>i=5; j=6</code><br>\n      (<code>;</code> is needed for separation, can be used to suppress return value in REPL)\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>$s = $i + $j; print $s;</code>\n    </td>\n    <td>\n      <code>s = i + j</code>\n    </td>\n  </tr>\n</table>","category":"page"},{"location":"examples/#Arrays","page":"Examples","title":"Arrays","text":"","category":"section"},{"location":"examples/","page":"Examples","title":"Examples","text":"<table>\n  <tr>\n    <th>\n      Polymake\n    </th>\n    <th>\n      Julia\n    </th>\n  </tr>\n  <tr>\n    <td>\n      Linear containers with random access\n    </td>\n    <td>\n      Linear containers with random access + all the algebra attached\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>@A = (\"a\", \"b\", \"c\");</code>\n    </td>\n    <td>\n      <code>A = [\"a\", \"b\", \"c\"]</code>\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>$first = $A[0];</code>\n      <br>(<code>first</code> is equal to <code>a</code>)\n    </td>\n    <td>\n      <code>first = A[1]</code><br>(note the <code>1</code>-based indexing!)\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>@A2 = (3,1,4,2);</code>\n    </td>\n    <td>\n      <code>A2 = [3,1,4,2]</code>\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>print sort(@A2);</code><br>(a copy of <code>A2</code> is sorted)\n    </td>\n    <td>\n      <code>println(sort(A2))</code><br>(to sort in place use <code>sort!(A2))</code>\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>$arr = new Array<Int>([3,2,5]);</code><br>(a <code>C++</code> object)\n    </td>\n    <td>\n      <code>arr = [3,2,5]</code><br>(the <code>Int</code> type is inferred)\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>$arr->[0] = 100;</code><br>(assignment)\n    </td>\n    <td>\n      <code>arr[1] = 100</code><br>(assignment; returns <code>100</code>)\n    </td>\n  </tr>\n</table>","category":"page"},{"location":"examples/#Dictionaries/Hash-Tables","page":"Examples","title":"Dictionaries/Hash Tables","text":"","category":"section"},{"location":"examples/","page":"Examples","title":"Examples","text":"<table>\n  <tr>\n    <th>\n      Polymake\n    </th>\n    <th>\n      Julia\n    </th>\n  </tr>\n  <tr>\n    <td>\n      <code>%h = ();</code>\n    </td>\n    <td>\n      <code>h = Dict()</code><br>it is <b>MUCH</b> better to provide types e.g.<br><code>h = Dict{String, Int}()</code>\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>$h{\"zero\"}=0; $h{\"four\"}=4;</code>\n    </td>\n    <td>\n      <code>h[\"zero\"] = 0; h[\"four\"] = 4</code><br>(call returns the value)\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>print keys %h;</code>\n    </td>\n    <td>\n      <code>@show keys(h)</code> (NOTE: order is not specified)\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>print join(\", \",keys %hash);</code>\n    </td>\n    <td>\n      <code>join(keys(h), \", \")</code><br>(returns <code>String</code>)\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>%hash=(\"one\",1,\"two\",2);</code>\n    </td>\n    <td>\n      <code>Dict([(\"one\",1), (\"two\",2)])</code><br>(will infer types)\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>%hash=(\"one\"=>1,\"two\"=>2);</code>\n    </td>\n    <td>\n      <code>Dict(\"one\"=>1,\"two\"=>2)</code>\n    </td>\n  </tr>\n</table>","category":"page"},{"location":"examples/#Sets","page":"Examples","title":"Sets","text":"","category":"section"},{"location":"examples/","page":"Examples","title":"Examples","text":"<table>\n  <tr>\n    <th>\n      Polymake\n    </th>\n    <th>\n      Julia\n    </th>\n  </tr>\n  <tr>\n    <td>\n      Balanced binary search trees\n    </td>\n    <td>\n      Hash table with no content\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>$set=new Set<Int>(3,2,5,3);</code>\n    </td>\n    <td>\n      <code>set = Set{Int}([3,2,5,3])</code>\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>print $set->size;</code>\n    </td>\n    <td>\n      <code>length(set)</code>\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>@array_from_set=@$set</code>\n    </td>\n    <td>\n      <code>collect(set)</code><br>(NOTE: this creates a <code>Vector</code>, but order is NOT specified)\n    </td>\n  </tr>\n</table>","category":"page"},{"location":"examples/#Matrices","page":"Examples","title":"Matrices","text":"","category":"section"},{"location":"examples/","page":"Examples","title":"Examples","text":"<table>\n  <tr>\n    <th>\n      Polymake\n    </th>\n    <th>\n      Julia\n    </th>\n  </tr>\n  <tr>\n    <td>\n      <code>new Matrix<T></code><br>Container with algebraic operations\n    </td>\n    <td>\n      <code>Matrix{T} = Array{T, 2}</code><br>**Linear** container with available indexing by <code>2</code>-ples; all algebra attached\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>$mat=new Matrix<Rational>([[2,1,4,0,0],[3,1,5,2,1],[1,0,4,0,6]]);</code><br><code>$row1=new Vector<Rational>([2,1,4,0,0]);</code><br><code>$row2=new Vector<Rational>([3,1,5,2,1]);</code><br><code>$row3=new Vector<Rational>([1,0,4,0,6]);</code><br><code>@matrix_rows=($row1,$row2,$row3);</code> (<code>Perl</code> object)<br><code>$matrix_from_array=new Matrix<Rational>(\\@matrix_rows);</code> (<code>C++</code> object)\n    </td>\n    <td>\n      <code>mat = Rational{Int}[2 1 4 0 0; 3 1 5 2 1; 1 0 4 0 6];</code><br><code>row1 = Rational{Int}[2, 1, 4, 0, 0];</code><br><code>row2 = Rational{Int}[3, 1, 5, 2, 1];</code><br><code>row3 = Rational{Int}[1, 0, 4, 0, 6];</code><br><code>matrix_rows = hcat(row1', row2', row3')</code><br>(Julia stores matrices in <b>column major</b> format, so <code>'</code> i.e. transposition is needed)\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>$mat->row(1)->[1]=7; $mat->elem(1,2)=8;</code>\n    </td>\n    <td>\n      <code>mat[2,2] = 7; mat[2,3] = 8</code>\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>$unit_mat=4*unit_matrix<Rational>(3);</code>\n    </td>\n    <td>\n      <code>unit_mat = Diagonal([4//1 for i in 1:3])</code> or <code>UniformScaling(4//1)</code><br>depending on application; both require <code>using LinearAlgebra</code>\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>$dense=new Matrix<Rational>($unit_mat);</code><br><code>$m_rat=new Matrix<Rational>(3/5*unit_matrix<Rational>(5));</code><br><code>$m2=$mat/$m_rat;</code><br><code>$m_int=new Matrix<Int>(unit_matrix<Rational>(5));</code><br><code>$m3=$m_rat/$m_int;</code><br>(results in an error due to incompatible types)\n    </td>\n    <td>\n      <code>Array(unit_mat)</code><br><code>m_rat = Diagonal([3//5 for i in 1:5])</code><br><code>m2 = mat/m_rat</code><br><code>m_int = Diagonal([1 for i in 1:5])</code><br><code>m_rat/m_int</code><br>(succeeds due to <code>promote</code> happening in <code>/</code>)\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>convert_to<Rational>($m_int)</code><br><code>$z_vec=zero_vector<Int>($m_int->rows)</code><br><code>$extended_matrix=($z_vec\\|$m_int);</code><br>(adds <code>z_vec</code> as the first column, result is dense)\n    </td>\n    <td>\n      <code>convert(Diagonal{Rational{Int}}, m_int)</code><br><code>z_vec = zeros(Int, size(m_int, 1))</code><br><code>extended_matrix = hcat(z_vec, m_int)</code><br>(result is sparse)\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>$set=new Set<Int>(3,2,5);</code><br><code>$template_Ex=new Array<Set<Int>>((new Set<Int>(5,2,6)),$set)</code>\n    </td>\n    <td>\n      <code>set = Set([3,2,5]);</code><br> <code>template_Ex = [Set([5,2,6]), set]</code>\n    </td>\n  </tr>\n</table>","category":"page"},{"location":"examples/#Big-objects-and-properties:","page":"Examples","title":"Big objects & properties:","text":"","category":"section"},{"location":"examples/","page":"Examples","title":"Examples","text":"<table>\n  <tr>\n    <th>\n      Polymake\n    </th>\n    <th>\n      Julia\n    </th>\n  </tr>\n  <tr>\n    <td>\n      <code>$p=new Polytope<Rational>(POINTS=>cube(4)->VERTICES);</code>\n    </td>\n    <td>\n      <code>p = polytope.Polytope(POINTS=polytope.cube(4).VERTICES)</code>\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>$lp=new LinearProgram<Rational>(LINEAR_OBJECTIVE=>[0,1,1,1,1]);</code>\n    </td>\n    <td>\n      <code>lp = polytope.LinearProgram(LINEAR_OBJECTIVE=[0,1,1,1,1])</code>\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>$p->LP=$lp;</code><br><code>$p->LP->MAXIMAL_VALUE;</code>\n    </td>\n    <td>\n      <code>p.LP = lp</code><br><code>p.LP.MAXIMAL_VALUE</code>\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>$i = ($p->N_FACETS * $p->N_FACETS) * 15;</code>\n    </td>\n    <td>\n      <code>i = (p.N_FACETS * p.N_FACETS) * 15</code>\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>$print p->DIM;</code>\n    </td>\n    <td>\n      <code>polytope.dim(p)</code><br><code>DIM</code> is actually a faux property, which hides a function beneath\n    </td>\n  </tr>\n  <tr>\n    <td>\n      <code>application \"topaz\";</code><br><code>$p = new Polytope<Max, QuadraticExtension>(POINTS=>[[1,0,0], [1,1,0], [1,1,1]]);</code>\n    </td>\n    <td>\n      <code>p = @pm tropical.Polytope{Max, QuadraticExtension}(POINTS=[1 0 0; 1 1 0; 1 1 1])</code><br>more information on the @pm macro can be found","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"here: @pm","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"    </td>\n  </tr>\n</table>","category":"page"},{"location":"#Polymake.jl","page":"Polymake.jl","title":"Polymake.jl","text":"","category":"section"},{"location":"","page":"Polymake.jl","title":"Polymake.jl","text":"Polymake.jl is a Julia package for using polymake, a software for research in polyhedral geometry from Julia. This package is developed as part of the OSCAR project.","category":"page"},{"location":"","page":"Polymake.jl","title":"Polymake.jl","text":"The current version of Polymake.jl relies on polymake version 4.0 or later.","category":"page"},{"location":"#Current-state-of-the-polymake-wrapper","page":"Polymake.jl","title":"Current state of the polymake wrapper","text":"","category":"section"},{"location":"#Data-structures","page":"Polymake.jl","title":"Data structures","text":"","category":"section"},{"location":"","page":"Polymake.jl","title":"Polymake.jl","text":"Big objects, e.g., Polytopes, can be handled in Julia.\nSeveral small objects (data types) from polymake are available in Polymake.jl:\nIntegers (Polymake.Integer <: Integer)\nRationals (Polymake.Rational <: Real)\nVectors (Polymake.Vector <: AbstractVector) of Int64s, Float64s, Polymake.Integers and Polymake.Rationals\nMatrices (Polymake.Matrix <: AbstractMatrix) of Int64s, Float64s, Polymake.Integers and Polymake.Rationals\nSets (Polymake.Set <: AbstractSet) of Int64s\nArrays (Polymake.Array <: AbstractVector, as Polymake.Arrays are one-dimensional) of Int64s and Polymake.Integers\nsome combinations thereof, e.g., Polymake.Arrays of Polymake.Sets of Int32s.","category":"page"},{"location":"","page":"Polymake.jl","title":"Polymake.jl","text":"These data types can be converted to appropriate Julia types, but are also subtypes of the corresponding Julia abstract types (as indicated above), and so should be accepted by all methods that apply to the abstract types.","category":"page"},{"location":"","page":"Polymake.jl","title":"Polymake.jl","text":"Note: If the returned small object has not been wrapped in Polymake.jl yet, you will not be able to access its content or in general use it from Julia, however you can always pass it back as an argument to a polymake function. Moreover you may try to convert to Julia understandable type via macro @convert_to SomeType{Template, Names} obj.","category":"page"},{"location":"#Functions","page":"Polymake.jl","title":"Functions","text":"","category":"section"},{"location":"","page":"Polymake.jl","title":"Polymake.jl","text":"All user functions from polymake are available in the appropriate modules, e.g. homology function from topaz can be called as topaz.homology(...) in julia. We pull the docstrings for functions from polymake as well, so ?topaz.homology (in Julia's REPL) returns the polymake docstring. Note: the syntax presented in the docstring is a polymake syntax, not Polymake.jl one.\nMost of the user functions from polymake are available as appname.funcname(...) in Polymake.jl.  Moreover, any function from polymake C++ library can be called via macro call @pm appname.funcname{C++{template, names}}(...).\nAll big objects of polymake can be constructed either via call to constructor, i.e.","category":"page"},{"location":"","page":"Polymake.jl","title":"Polymake.jl","text":"obj = appname.BigObject(args)","category":"page"},{"location":"","page":"Polymake.jl","title":"Polymake.jl","text":"One can specify some templates here as well: polytope.Polytope{Float64}(...) is a valid call, but the list of supported types is rather limited. Please consider filing a bug if a valid call results in polymake error. For more advanced use see section on @pm macro.","category":"page"},{"location":"","page":"Polymake.jl","title":"Polymake.jl","text":"Properties of big objects are accessible by bigobject.property syntax (as opposed to $bigobject->property in polymake). If there is a missing property please check if it can be accessed by appname.property(object). For example polytope.Polytope does not have DIM property in Polymake.jl sinc DIM is exposed as polytope.dim(...) function.\nMethods are available as functions in the appropriate modules, with the first argument as the object, i.e. $bigobj->methodname(...) can be called via appname.methodname(bigobj, ...)\nA function in Polymake.jl calling polymake may return a big or small object, and the generic return (PropertyValue) is transparently converted to one of the known data types. This conversion can be deactivated by adding keep_PropertyValue=true keyword argument to function/method call.","category":"page"},{"location":"#User-Guide","page":"Polymake.jl","title":"User Guide","text":"","category":"section"},{"location":"","page":"Polymake.jl","title":"Polymake.jl","text":"Getting Started\nUsing Polymake.jl\nExamples","category":"page"},{"location":"#Funding","page":"Polymake.jl","title":"Funding","text":"","category":"section"},{"location":"","page":"Polymake.jl","title":"Polymake.jl","text":"The development of this Julia package is supported by the Deutsche Forschungsgemeinschaft DFG within the Collaborative Research Center TRR 195.","category":"page"}]
+}
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+<!DOCTYPE html>
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Using Polymake.jl · Polymake.jl - Documentation</title><script data-outdated-warner src="../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../assets/documenter.js"></script><script src="../siteinfo.js"></script><script src="../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../">Polymake.jl - Documentation</a></span></div><form class="docs-search" action="../search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li><a class="tocitem" href="../">Polymake.jl</a></li><li><a class="tocitem" href="../getting_started/">Getting Started</a></li><li class="is-active"><a class="tocitem" href>Using Polymake.jl</a><ul class="internal"><li><a class="tocitem" href="#Executing-Polymake-Methods"><span>Executing Polymake Methods</span></a></li><li><a class="tocitem" href="#Accessing-the-polyDB"><span>Accessing the polyDB</span></a></li></ul></li><li><a class="tocitem" href="../examples/">Examples</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Using Polymake.jl</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Using Polymake.jl</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/oscar-system/Polymake.jl/blob/master/docs/src/using_polymake_jl.md" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="Using-Polymake.jl"><a class="docs-heading-anchor" href="#Using-Polymake.jl">Using Polymake.jl</a><a id="Using-Polymake.jl-1"></a><a class="docs-heading-anchor-permalink" href="#Using-Polymake.jl" title="Permalink"></a></h1><p>In this section, the main functionality of <code>Polymake.jl</code> is covered: how to access <code>polymake</code>&#39;s powerful abilities. For this cause one needs to know how to call <code>polymake</code> methods and how to handle the supported types.</p><h2 id="Executing-Polymake-Methods"><a class="docs-heading-anchor" href="#Executing-Polymake-Methods">Executing Polymake Methods</a><a id="Executing-Polymake-Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Executing-Polymake-Methods" title="Permalink"></a></h2><h3 id="Directly-calling-a-polymake-method"><a class="docs-heading-anchor" href="#Directly-calling-a-polymake-method">Directly calling a <code>polymake</code> method</a><a id="Directly-calling-a-polymake-method-1"></a><a class="docs-heading-anchor-permalink" href="#Directly-calling-a-polymake-method" title="Permalink"></a></h3><p>One of the simplest yet most useful possibilities <code>Polymake.jl</code> offers is to directly use a <code>polymake</code> method via the following macro:</p><article class="docstring"><header><a class="docstring-binding" id="Polymake.@pm" href="#Polymake.@pm"><code>Polymake.@pm</code></a> — <span class="docstring-category">Macro</span></header><section><div><pre><code class="language-julia hljs">@pm polymakeapp.function_name{Template, parameters}(args)</code></pre><p>This macro can be used to</p><ul><li>create <code>polymake</code> Big Objects (such as polytopes)</li><li>call <code>polymake</code> functions with specific template parameters.</li></ul><p>The expression passed to the macro has to be:</p><ul><li>a fully qualified name of a <code>polymake</code> object (i.e. starting with the</li></ul><p><strong>lowercase</strong> name of a polymake application), or</p><ul><li>a function with template parameters enclosed in <code>{ ... }</code>.</li></ul><p><strong>Examples</strong></p><pre><code class="language-julia-repl hljs">julia&gt; P = @pm polytope.Polytope{QuadraticExtension}(POINTS=[1 0 0; 0 1 0])
+type: Polytope&lt;QuadraticExtension&lt;Rational&gt;&gt;
+
+POINTS
+1 0 0
+0 1 0
+
+
+
+julia&gt; @pm common.convert_to{Float}(P)
+type: Polytope&lt;Float&gt;
+
+POINTS
+1 0 0
+0 1 0
+
+
+CONE_AMBIENT_DIM
+3
+
+
+
+julia&gt; @pm tropical.Polytope{Max}(POINTS=[1 0 0; 0 1 0])
+type: Polytope&lt;Max, Rational&gt;
+
+POINTS
+0 -1 -1
+0 1 0
+
+
+</code></pre><p>!!! Note     the expression in <code>@pm</code> macro is parsed syntactically, so it has to be a valid <code>julia</code> expression. However template parameters <strong>need not</strong> to be defined in <code>julia</code>, but must be valid names of <code>polymake</code> property types. Nested types (such as <code>{QuadraticExtension{Rational}}</code>) are allowed.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/oscar-system/Polymake.jl/blob/ddbf33fa9e99591f3752d5f2ab72ad800dc05bc2/src/call_function.jl#L85-L133">source</a></section></article><p>The <code>@pm</code> macro can be used to issue more complicated calls to polymake from julia. If You need to pass templates to <code>BigObject</code>s, some limited support is provided in costructors. For example one can construct <code>polytope.Polytope{Float64}(...)</code>. However for this to work templates need to be valid julia types/object, hence it is not possible to construct a <code>Polytope&lt;QuadraticExtension&gt;</code> through such call. For this (and in general: for passing more complicated templates) one needs the <code>@pm</code> macro:</p><pre><code class="language-perl hljs">$obj = new BigObject&lt;Template,Parameters&gt;(args)</code></pre><p>becomes</p><pre><code class="language-julia hljs">obj = @pm appname.BigObject{Template, Parameters}(args)</code></pre><p>Examples:</p><pre><code class="language-julia hljs">tropical.Polytope{max, Polymake.Rational}(POINTS=[1 0 0; 1 1 0; 1 1 1])
+# call to constructor, note that max is a julia function, hence a valid object
+@pm tropical.Polytope{Max, QuadraticExtension}(POINTS=[1 0 0; 1 1 0; 1 1 1])
+# macro call: none of the types in templates need to exist in julia</code></pre><p>As a rule of thumb any template passed to <code>@pm</code> macro needs to be translatable on syntax level to a <code>C++</code> one. E.g. <code>Matrix{Integer}</code> works, as it translates to <code>pm::Matrix&lt;pm::Integer&gt;</code>.</p><p>Such templates can be passed to functions as well. A very useful example is the <code>common.convert_to</code>:</p><pre><code class="language-julia hljs">julia&gt; c = polytope.cube(3);
+
+julia&gt; f = c.FACETS;
+
+julia&gt; f[1,1] # f is an opaque pm::perl::PropertyValue to julia
+ERROR: MethodError: no method matching getindex(::Polymake.PropertyValueAllocated, ::Int64, ::Int64)
+Stacktrace:
+  [...]
+
+julia&gt; m = @pm common.convert_to{Matrix{Integer}}(f) # the template must consist of C++ names
+pm::Matrix&lt;pm::Integer&gt;
+1 1 0 0
+1 -1 0 0
+1 0 1 0
+1 0 -1 0
+1 0 0 1
+1 0 0 -1
+
+julia&gt; m[1,1]
+1</code></pre><p>Since the combination of the <code>@pm</code> macro and <code>common.convert_to</code> is quite common there is a specialized <code>@convert_to</code> macro for this:</p><pre><code class="language-julia hljs">
+julia&gt; m = @convert_to Matrix{Integer} f # the template must consist of C++ names
+pm::Matrix&lt;pm::Integer&gt;
+1 1 0 0
+1 -1 0 0
+1 0 1 0
+1 0 -1 0
+1 0 0 1
+1 0 0 -1</code></pre><h3 id="Wrapped-methods"><a class="docs-heading-anchor" href="#Wrapped-methods">Wrapped methods</a><a id="Wrapped-methods-1"></a><a class="docs-heading-anchor-permalink" href="#Wrapped-methods" title="Permalink"></a></h3><p>As the <a href="#Polymake.@pm"><code>@pm</code></a> macro allows to access <code>polymake</code>&#39;s library, there is no need for every method to be wrapped. In general, the wrapped methods restrict to simpler ones in the context of small types, guaranteeing compatibility with <code>julia</code> or allowing easy modification/operations of/with instances of these types. This results in a handling of these types which is equivalent to <code>julia</code>&#39;s syntax, e.g. arrays can be accessed with the brackets operator <code>[]</code> or addition can be applied by using <code>+</code>:</p><pre><code class="language-julia hljs">julia&gt; m = Polymake.Matrix{Polymake.Rational}(4,6)
+pm::Matrix&lt;pm::Rational&gt;
+0 0 0 0 0 0
+0 0 0 0 0 0
+0 0 0 0 0 0
+0 0 0 0 0 0
+
+
+julia&gt; m[2,1] = 9
+9
+
+julia&gt; m
+pm::Matrix&lt;pm::Rational&gt;
+0 0 0 0 0 0
+9 0 0 0 0 0
+0 0 0 0 0 0
+0 0 0 0 0 0
+
+julia&gt; a = Polymake.TropicalNumber{Polymake.Min}(7)
+pm::TropicalNumber&lt;pm::Min, pm::Rational&gt;
+7
+
+julia&gt; b = Polymake.TropicalNumber{Polymake.Min}(10)
+pm::TropicalNumber&lt;pm::Min, pm::Rational&gt;
+10
+
+julia&gt; a + b
+pm::TropicalNumber&lt;pm::Min, pm::Rational&gt;
+7</code></pre><h3 id="Function-Arguments"><a class="docs-heading-anchor" href="#Function-Arguments">Function Arguments</a><a id="Function-Arguments-1"></a><a class="docs-heading-anchor-permalink" href="#Function-Arguments" title="Permalink"></a></h3><p>Functions in <code>Polymake.jl</code> accept the following types for their arguments:</p><ul><li>simple data types (bools, machine integers, floats)</li><li>wrapped native types (<code>Polymake.Integer</code>, <code>Polymake.Rational</code>, <code>Polymake.Vector</code>, <code>Polymake.Matrix</code>, <code>Polymake.Set</code> etc.)</li><li>other objects returned by polymake:<ul><li><code>Polymake.BigObject</code>,</li><li><code>Polymake.PropertyValue</code> (containers opaque to Julia)</li></ul></li></ul><p>If an object passed to <code>Polymake.jl</code> function is of a different type the software will try its best to convert it to a known one. However, if the conversion doesn&#39;t work an <code>ArgumentError</code> will be thrown:</p><pre><code class="language-julia hljs">ERROR: ArgumentError: Unrecognized argument type: SomeType.
+You need to convert to polymake compatible type first.</code></pre><p>You can tell <code>Polymake.jl</code> how to convert it by definig</p><pre><code class="language-julia hljs">Base.convert(::Type{Polymake.PolymakeType}, x::SomeType)</code></pre><p>The returned value must be of one of the types as above. For example to use <code>AbstractAlgebra.jl</code> matrices as input to <code>Polymake.jl</code> one may define</p><pre><code class="language-julia hljs">Base.convert(::Type{Polymake.PolymakeType}, M::Generic.MatSpaceElem) = Polymake.Matrix(M.entries)</code></pre><p>and the following should run smoothly.</p><pre><code class="language-julia hljs">julia&gt; using AbstractAlgebra, Polymake
+polymake version 4.0
+Copyright (c) 1997-2020
+Ewgenij Gawrilow, Michael Joswig (TU Berlin)
+https://polymake.org
+
+This is free software licensed under GPL; see the source for copying conditions.
+There is NO warranty; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
+
+
+julia&gt; mm = AbstractAlgebra.matrix(ZZ, [1 2 3; 4 5 6])
+[1 2 3]
+[4 5 6]
+
+julia&gt; polytope.Polytope(POINTS=mm)
+ERROR: ArgumentError: Unrecognized argument type: AbstractAlgebra.Generic.MatSpaceElem{Int64}.
+You need to convert to polymake compatible type first.
+  [...]
+
+julia&gt; Base.convert(::Type{Polymake.PolymakeType}, M::Generic.MatSpaceElem) = Polymake.Matrix(M.entries)
+
+julia&gt; polytope.Polytope(POINTS=mm)
+type: Polytope&lt;Rational&gt;
+
+POINTS
+1 2 3
+1 5/4 3/2
+</code></pre><h2 id="Accessing-the-polyDB"><a class="docs-heading-anchor" href="#Accessing-the-polyDB">Accessing the polyDB</a><a id="Accessing-the-polyDB-1"></a><a class="docs-heading-anchor-permalink" href="#Accessing-the-polyDB" title="Permalink"></a></h2><p><code>Polymake.jl</code> allows the user to access the objects stored within the <code>polyDB</code> via the <code>Mongoc.jl</code> package; this functionality can be found in another sub-module, <code>Polymake.Polydb</code>, which requires no additional interaction to be loaded. It offers two different ways for querying, as well as some methods for information. For demonstration purposes, there also is a <code>Jupyter notebook</code> in the <code>examples/</code> folder.</p><h3 id="General-tools"><a class="docs-heading-anchor" href="#General-tools">General tools</a><a id="General-tools-1"></a><a class="docs-heading-anchor-permalink" href="#General-tools" title="Permalink"></a></h3><p>There are three types one needs to know when working with <code>Polymake.Polydb</code>:</p><article class="docstring"><header><a class="docstring-binding" id="Polymake.Polydb.Database" href="#Polymake.Polydb.Database"><code>Polymake.Polydb.Database</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">  Database</code></pre><p>Type for referencing a specific database (usually the <code>polyDB</code>)</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/oscar-system/Polymake.jl/blob/ddbf33fa9e99591f3752d5f2ab72ad800dc05bc2/src/polydb.jl#L16-L20">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="Polymake.Polydb.Collection" href="#Polymake.Polydb.Collection"><code>Polymake.Polydb.Collection</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">  Collection{T}</code></pre><p>Type for referencing a specific collection. <code>T&lt;:Union{Polymake.BigObject, Mongoc.BSON}</code> defines the template and/or element types returned by operations applied on objects of this type.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/oscar-system/Polymake.jl/blob/ddbf33fa9e99591f3752d5f2ab72ad800dc05bc2/src/polydb.jl#L25-L31">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="Polymake.Polydb.Cursor" href="#Polymake.Polydb.Cursor"><code>Polymake.Polydb.Cursor</code></a> — <span class="docstring-category">Type</span></header><section><div><pre><code class="language-julia hljs">  Cursor{T}</code></pre><p>Type containing the results of a query. Can be iterated, but the iterator can not be reset. For this cause, one has to query again. <code>T&lt;:Union{Polymake.BigObject, Mongoc.BSON}</code> defines the element types.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/oscar-system/Polymake.jl/blob/ddbf33fa9e99591f3752d5f2ab72ad800dc05bc2/src/polydb.jl#L36-L42">source</a></section></article><p>To receive the <code>Database</code> object referencing to the <code>polyDB</code>, there is the <code>get_db()</code> method:</p><article class="docstring"><header><a class="docstring-binding" id="Polymake.Polydb.get_db-Tuple{}" href="#Polymake.Polydb.get_db-Tuple{}"><code>Polymake.Polydb.get_db</code></a> — <span class="docstring-category">Method</span></header><section><div><pre><code class="language-julia hljs">  get_db()</code></pre><p>Connect to the <code>polyDB</code> and return <code>Database</code> instance.</p><p>The uri of the server can be set in advance by writing its <code>String</code> representation into ENV[&quot;POLYDB<em>TEST</em>URI&quot;]. (used to connect to the github services container for testing)</p><p><strong>Examples</strong></p><pre><code class="language-julia-repl hljs">julia&gt; db = Polymake.Polydb.get_db();
+
+julia&gt; typeof(db)
+Polymake.Polydb.Database</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/oscar-system/Polymake.jl/blob/ddbf33fa9e99591f3752d5f2ab72ad800dc05bc2/src/polydb.jl#L47-L62">source</a></section></article><p>A specific <code>Collection</code> object can then be obtained with the brackets operator:</p><article class="docstring"><header><a class="docstring-binding" id="Base.getindex-Tuple{Polymake.Polydb.Database, String}" href="#Base.getindex-Tuple{Polymake.Polydb.Database, String}"><code>Base.getindex</code></a> — <span class="docstring-category">Method</span></header><section><div><pre><code class="language-julia hljs">  getindex(db::Database, name::AbstractString)</code></pre><p>Return a <code>Polymake.Polydb.Collection{Polymake.BigObject}</code> instance from <code>db</code> with the given <code>name</code>. Sections and collections in the name are connected with the &#39;.&#39; sign.</p><p><strong>Examples</strong></p><pre><code class="language-julia-repl hljs">julia&gt; db = Polymake.Polydb.get_db();
+
+julia&gt; collection = getindex(db, &quot;Polytopes.Lattice.SmoothReflexive&quot;)
+Polymake.Polydb.Collection{Polymake.BigObject}: Polytopes.Lattice.SmoothReflexive
+
+julia&gt; collection = db[&quot;Matroids.Small&quot;]
+Polymake.Polydb.Collection{Polymake.BigObject}: Matroids.Small</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/oscar-system/Polymake.jl/blob/ddbf33fa9e99591f3752d5f2ab72ad800dc05bc2/src/polydb.jl#L69-L85">source</a></section></article><p>By default, the results are parsed to <code>Polymake.BigObject</code>s when accessed, but one may choose to change this behaviour by adjusting the typing template of <code>Collection</code> or <code>Cursor</code> using the following method:</p><article class="docstring"><header><a class="docstring-binding" id="Polymake.Polydb.Collection-Tuple{Polymake.Polydb.Collection}" href="#Polymake.Polydb.Collection-Tuple{Polymake.Polydb.Collection}"><code>Polymake.Polydb.Collection</code></a> — <span class="docstring-category">Method</span></header><section><div><pre><code class="language-julia hljs">  Collection{T}(c::Collection)</code></pre><p>Create another <code>Collection</code> object with a specific template parameter referencing the same collection as <code>c</code>. <code>T</code> can be chosen from <code>Polymake.BigObject</code> and <code>Mongoc.BSON</code>.</p><p><strong>Examples</strong></p><pre><code class="language-julia-repl hljs">julia&gt; db = Polymake.Polydb.get_db();
+
+julia&gt; collection = db[&quot;Polytopes.Lattice.SmoothReflexive&quot;]
+Polymake.Polydb.Collection{Polymake.BigObject}: Polytopes.Lattice.SmoothReflexive
+
+julia&gt; collection_bson = Polymake.Polydb.Collection{Mongoc.BSON}(collection)
+Polymake.Polydb.Collection{Mongoc.BSON}: Polytopes.Lattice.SmoothReflexive
+
+julia&gt; collection_bo = Polymake.Polydb.Collection{Polymake.BigObject}(collection_bson)
+Polymake.Polydb.Collection{Polymake.BigObject}: Polytopes.Lattice.SmoothReflexive</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/oscar-system/Polymake.jl/blob/ddbf33fa9e99591f3752d5f2ab72ad800dc05bc2/src/polydb.jl#L131-L150">source</a></section></article><h3 id="Information"><a class="docs-heading-anchor" href="#Information">Information</a><a id="Information-1"></a><a class="docs-heading-anchor-permalink" href="#Information" title="Permalink"></a></h3><article class="docstring"><header><a class="docstring-binding" id="Polymake.Polydb.info" href="#Polymake.Polydb.info"><code>Polymake.Polydb.info</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">  info(db::Database, level::Base.Integer=1)</code></pre><p>Print a structured list of the sections and collections of the Polydb together with information about each of these (if existent).</p><p>Detail of the output determined by value of <code>level</code>:</p><ul><li>1: short description,</li><li>2: description,</li><li>3: description, authors, maintainers,</li><li>4: full info,</li><li>5: full info and list of recommended search fields.</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/oscar-system/Polymake.jl/blob/ddbf33fa9e99591f3752d5f2ab72ad800dc05bc2/src/polydb.jl#L415-L426">source</a></section><section><div><pre><code class="nohighlight hljs">  info(c::Collection, level::Base.Integer=1)</code></pre><p>Print information about collection <code>c</code> (if existent).</p><p>Detail of the output determined by value of <code>level</code>:</p><ul><li>1: short description,</li><li>2: description,</li><li>3: description, authors, maintainers,</li><li>4: full info,</li><li>5: full info and list of recommended search fields.</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/oscar-system/Polymake.jl/blob/ddbf33fa9e99591f3752d5f2ab72ad800dc05bc2/src/polydb.jl#L482-L492">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="Polymake.Polydb.get_collection_names" href="#Polymake.Polydb.get_collection_names"><code>Polymake.Polydb.get_collection_names</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">  get_collection_names(db::Database)</code></pre><p>Return a <code>Vector{String}</code> containing the names of all collections in the Polydb, excluding meta collections.</p><p><strong>Examples</strong></p><pre><code class="language-julia-repl hljs">julia&gt; db = Polymake.Polydb.get_db();
+
+julia&gt; Polymake.Polydb.get_collection_names(db)
+16-element Vector{String}:
+ &quot;Polytopes.Combinatorial.FacesBirkhoffPolytope&quot;
+ &quot;Polytopes.Combinatorial.SmallSpheresDim4&quot;
+ &quot;Polytopes.Geometric.01Polytopes&quot;
+ &quot;Polytopes.Lattice.SmoothReflexive&quot;
+ &quot;Polytopes.Lattice.ExceptionalMaximalHollow&quot;
+ &quot;Tropical.TOM&quot;
+ ⋮
+ &quot;Polytopes.Lattice.Panoptigons&quot;
+ &quot;Tropical.Cubics&quot;
+ &quot;Tropical.SchlaefliFan&quot;
+ &quot;Polytopes.Lattice.Reflexive&quot;
+ &quot;Polytopes.Combinatorial.CombinatorialTypes&quot;</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/oscar-system/Polymake.jl/blob/ddbf33fa9e99591f3752d5f2ab72ad800dc05bc2/src/polydb.jl#L321-L345">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="Polymake.Polydb.get_fields" href="#Polymake.Polydb.get_fields"><code>Polymake.Polydb.get_fields</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">  get_fields(c::Collection)</code></pre><p>Return a <code>Vector{String}</code> containing the names of the fields of <code>c</code>.</p><p><strong>Examples</strong></p><pre><code class="language-julia-repl hljs">julia&gt; db = Polymake.Polydb.get_db();
+
+julia&gt; collection = db[&quot;Matroids.Small&quot;]
+Polymake.Polydb.Collection{Polymake.BigObject}: Matroids.Small
+
+julia&gt; Polymake.Polydb.get_fields(collection)
+27-element Vector{String}:
+ &quot;DUAL&quot;
+ &quot;N_BASES&quot;
+ &quot;TUTTE_POLYNOMIAL&quot;
+ &quot;SERIES_PARALLEL&quot;
+ &quot;N_FLATS&quot;
+ &quot;SPLIT_FLACETS&quot;
+ ⋮
+ &quot;TERNARY&quot;
+ &quot;REGULAR&quot;
+ &quot;TRANSVERSAL&quot;
+ &quot;IDENTICALLY_SELF_DUAL&quot;
+ &quot;BETA_INVARIANT&quot;</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/oscar-system/Polymake.jl/blob/ddbf33fa9e99591f3752d5f2ab72ad800dc05bc2/src/polydb.jl#L244-L269">source</a></section></article><h3 id="Querying"><a class="docs-heading-anchor" href="#Querying">Querying</a><a id="Querying-1"></a><a class="docs-heading-anchor-permalink" href="#Querying" title="Permalink"></a></h3><p>There are two ways for querying within <code>Polymake.jl</code>.</p><h4 id="Methods"><a class="docs-heading-anchor" href="#Methods">Methods</a><a id="Methods-1"></a><a class="docs-heading-anchor-permalink" href="#Methods" title="Permalink"></a></h4><article class="docstring"><header><a class="docstring-binding" id="Mongoc.find" href="#Mongoc.find"><code>Mongoc.find</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">find(collection::Collection, bson_filter::BSON=BSON();
+    options::Union{Nothing, BSON}=nothing) :: Cursor</code></pre><p>Executes a query on <code>collection</code> and returns an iterable <code>Cursor</code>.</p><p><strong>Example</strong></p><pre><code class="language-julia hljs">function find_contract_codes(collection, criteria::Dict=Dict()) :: Vector{String}
+    result = Vector{String}()
+
+    let
+        bson_filter = Mongoc.BSON(criteria)
+        bson_options = Mongoc.BSON(&quot;&quot;&quot;{ &quot;projection&quot; : { &quot;_id&quot; : true }, &quot;sort&quot; : { &quot;_id&quot; : 1 } }&quot;&quot;&quot;)
+        for bson_document in Mongoc.find(collection, bson_filter, options=bson_options)
+            push!(result, bson_document[&quot;_id&quot;])
+        end
+    end
+
+    return result
+end</code></pre><p>Check the <a href="http://mongoc.org/libmongoc/current/mongoc_collection_find_with_opts.html">libmongoc documentation</a> for more information.</p></div></section><section><div><pre><code class="nohighlight hljs">find(bucket::Bucket, bson_filter::BSON=BSON();
+    options::BSON=BSON()) :: Cursor</code></pre><p>Looks for files in GridFS bucket.</p></div></section><section><div><pre><code class="nohighlight hljs">  find(c::Collection{T}, d::Dict=Dict(); opts::Union{Nothing, Dict})</code></pre><p>Search a collection <code>c</code> for documents matching the criteria given by <code>d</code>. Apply search options <code>opts</code>.</p><p><strong>Examples</strong></p><pre><code class="language-julia-repl hljs">julia&gt; db = Polymake.Polydb.get_db();
+
+julia&gt; collection = db[&quot;Polytopes.Lattice.SmoothReflexive&quot;];
+
+julia&gt; query = Dict(&quot;DIM&quot;=&gt;3, &quot;N_FACETS&quot;=&gt;5);
+
+julia&gt; results = Polymake.Polydb.find(collection, query);
+
+julia&gt; typeof(results)
+Polymake.Polydb.Cursor{Polymake.BigObject}</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/oscar-system/Polymake.jl/blob/ddbf33fa9e99591f3752d5f2ab72ad800dc05bc2/src/polydb.jl#L88-L106">source</a></section><section><div><pre><code class="nohighlight hljs">  find(c::Collection{T}, d::Pair...)</code></pre><p>Search a collection <code>c</code> for documents matching the criteria given by <code>d</code>.</p><p><strong>Examples</strong></p><pre><code class="language-julia-repl hljs">julia&gt; db = Polymake.Polydb.get_db();
+
+julia&gt; collection = db[&quot;Polytopes.Lattice.SmoothReflexive&quot;];
+
+julia&gt; results = Polymake.Polydb.find(collection, &quot;DIM&quot;=&gt;3, &quot;N_FACETS&quot;=&gt;5);
+
+julia&gt; typeof(results)
+Polymake.Polydb.Cursor{Polymake.BigObject}</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/oscar-system/Polymake.jl/blob/ddbf33fa9e99591f3752d5f2ab72ad800dc05bc2/src/polydb.jl#L111-L126">source</a></section></article><h4 id="Macros"><a class="docs-heading-anchor" href="#Macros">Macros</a><a id="Macros-1"></a><a class="docs-heading-anchor-permalink" href="#Macros" title="Permalink"></a></h4><article class="docstring"><header><a class="docstring-binding" id="Polymake.Polydb.@select" href="#Polymake.Polydb.@select"><code>Polymake.Polydb.@select</code></a> — <span class="docstring-category">Macro</span></header><section><div><p>Polymake.Polydb.@select collectionName</p><p>This macro can be used as part of a chain for easy (i.e. human readable) querying. Generate a method asking a container for the entry with key <code>collectionName</code>.</p><p>See also: <a href="#Polymake.Polydb.@filter"><code>@filter</code></a>, <a href="#Polymake.Polydb.@map"><code>@map</code></a></p><p><strong>Examples</strong></p><pre><code class="language-julia-repl hljs">julia&gt; db = Polymake.Polydb.get_db();
+
+julia&gt; collection = db |&gt;
+       Polymake.Polydb.@select(&quot;Polytopes.Lattice.SmoothReflexive&quot;)
+Polymake.Polydb.Collection{Polymake.BigObject}: Polytopes.Lattice.SmoothReflexive</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/oscar-system/Polymake.jl/blob/ddbf33fa9e99591f3752d5f2ab72ad800dc05bc2/src/polydb.jl#L519-L536">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="Polymake.Polydb.@filter" href="#Polymake.Polydb.@filter"><code>Polymake.Polydb.@filter</code></a> — <span class="docstring-category">Macro</span></header><section><div><p>Polymake.Polydb.@filter conditions...</p><p>This macro can be used as part of a chain for easy (i.e. human readable) querying. Convert <code>conditions</code> into the corresponding <code>Dict</code> and generate a method expanding its input by this <code>Dict</code>. Multiple conditions can be passed in the same line and/or in different lines.</p><p>See also: <a href="#Polymake.Polydb.@select"><code>@select</code></a>, <a href="#Polymake.Polydb.@map"><code>@map</code></a></p><p><strong>Examples</strong></p><pre><code class="language-julia-repl hljs">julia&gt; db = Polymake.Polydb.get_db();
+
+julia&gt; query_tuple = db |&gt;
+       Polymake.Polydb.@select(&quot;Polytopes.Lattice.SmoothReflexive&quot;) |&gt;
+       Polymake.Polydb.@filter(&quot;DIM&quot; &lt;= 3) |&gt;
+       Polymake.Polydb.@filter(&quot;N_VERTICES&quot; == 8)
+(Polymake.Polydb.Collection{Polymake.BigObject}
+    COLLECTION: Polytopes.Lattice.SmoothReflexive
+    Smooth reflexive lattice polytopes in dimensions up to 9, up to lattice equivalence. The lists were computed with the algorithm of Mikkel Oebro (see [[http://arxiv.org/abs/0704.0049|arxiv: 0704.0049]]) and are taken from the [[http://polymake.org/polytopes/paffenholz/www/fano.html|website of Andreas Paffenholz]]. They also contain splitting data according to [[https://arxiv.org/abs/1711.02936| arxiv: 1711.02936]].
+    Authored by
+        Andreas Paffenholz, paffenholz@opt.tu-darmstadt.de, TU Darmstadt
+        Benjamin Lorenz, paffenholz@opt.tu-darmstadt.de, TU Berlin
+        Mikkel Oebro
+    Fields: AFFINE_HULL, CONE_DIM, DIM, EHRHART_POLYNOMIAL, F_VECTOR, FACET_SIZES, FACET_WIDTHS, FACETS, H_STAR_VECTOR, LATTICE_DEGREE, LATTICE_VOLUME, LINEALITY_SPACE, N_BOUNDARY_LATTICE_POINTS, N_EDGES, N_FACETS, N_INTERIOR_LATTICE_POINTS, N_LATTICE_POINTS, N_RIDGES, N_VERTICES, REFLEXIVE, SMOOTH, SELF_DUAL, SIMPLE, TERMINAL, VERTEX_SIZES, VERTICES, VERTICES_IN_FACETS, VERY_AMPLE, ALTSHULER_DET, BALANCED, CENTROID, DIAMETER, NORMAL, N_HILBERT_BASIS, IS_PRISM, IS_PRODUCT, IS_SKEW_PRISM, IS_SIMPLEX_SUM, PRISM_BASE, PRODUCT_FACTORS, SIMPLEX_SUM_BASES, SKEW_PRISM_BASES, Dict{String,Any}(&quot;DIM&quot; =&gt; Dict{String,Any}(&quot;$lte&quot; =&gt; 3),&quot;N_VERTICES&quot; =&gt; Dict{String,Any}(&quot;$eq&quot; =&gt; 8)))
+
+julia&gt; query_tuple = db |&gt;
+       Polymake.Polydb.@select(&quot;Polytopes.Lattice.SmoothReflexive&quot;) |&gt;
+       Polymake.Polydb.@filter(&quot;DIM&quot; &lt;= 3, &quot;N_VERTICES&quot; == 8)
+(Polymake.Polydb.Collection{Polymake.BigObject}
+    COLLECTION: Polytopes.Lattice.SmoothReflexive
+    Smooth reflexive lattice polytopes in dimensions up to 9, up to lattice equivalence. The lists were computed with the algorithm of Mikkel Oebro (see [[http://arxiv.org/abs/0704.0049|arxiv: 0704.0049]]) and are taken from the [[http://polymake.org/polytopes/paffenholz/www/fano.html|website of Andreas Paffenholz]]. They also contain splitting data according to [[https://arxiv.org/abs/1711.02936| arxiv: 1711.02936]].
+    Authored by
+        Andreas Paffenholz, paffenholz@opt.tu-darmstadt.de, TU Darmstadt
+        Benjamin Lorenz, paffenholz@opt.tu-darmstadt.de, TU Berlin
+        Mikkel Oebro
+    Fields: AFFINE_HULL, CONE_DIM, DIM, EHRHART_POLYNOMIAL, F_VECTOR, FACET_SIZES, FACET_WIDTHS, FACETS, H_STAR_VECTOR, LATTICE_DEGREE, LATTICE_VOLUME, LINEALITY_SPACE, N_BOUNDARY_LATTICE_POINTS, N_EDGES, N_FACETS, N_INTERIOR_LATTICE_POINTS, N_LATTICE_POINTS, N_RIDGES, N_VERTICES, REFLEXIVE, SMOOTH, SELF_DUAL, SIMPLE, TERMINAL, VERTEX_SIZES, VERTICES, VERTICES_IN_FACETS, VERY_AMPLE, ALTSHULER_DET, BALANCED, CENTROID, DIAMETER, NORMAL, N_HILBERT_BASIS, IS_PRISM, IS_PRODUCT, IS_SKEW_PRISM, IS_SIMPLEX_SUM, PRISM_BASE, PRODUCT_FACTORS, SIMPLEX_SUM_BASES, SKEW_PRISM_BASES, Dict{String,Any}(&quot;DIM&quot; =&gt; Dict{String,Any}(&quot;$lte&quot; =&gt; 3),&quot;N_VERTICES&quot; =&gt; Dict{String,Any}(&quot;$eq&quot; =&gt; 8)))</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/oscar-system/Polymake.jl/blob/ddbf33fa9e99591f3752d5f2ab72ad800dc05bc2/src/polydb.jl#L544-L584">source</a></section></article><article class="docstring"><header><a class="docstring-binding" id="Polymake.Polydb.@map" href="#Polymake.Polydb.@map"><code>Polymake.Polydb.@map</code></a> — <span class="docstring-category">Macro</span></header><section><div><p>Polymake.Polydb.@map [optFields...]</p><p>This macro can be used as part of a chain for easy (i.e. human readable) querying. Generate a method running a query given a <code>Tuple{Collection, Dict}</code>. If <code>optFields</code> are given (as <code>String</code>s), the results only contain the stated fields and the objects metadata.</p><p>See also: <a href="#Polymake.Polydb.@select"><code>@select</code></a>, <a href="#Polymake.Polydb.@filter"><code>@filter</code></a></p><p><strong>Examples</strong></p><pre><code class="language-julia-repl hljs">julia&gt; db = Polymake.Polydb.get_db();
+
+julia&gt; results = db |&gt;
+       Polymake.Polydb.@select(&quot;Polytopes.Lattice.SmoothReflexive&quot;) |&gt;
+       Polymake.Polydb.@filter(&quot;DIM&quot; == 3, &quot;N_VERTICES&quot; == 8) |&gt;
+       Polymake.Polydb.@map() |&gt;
+       collect
+7-element Vector{Polymake.BigObject}:
+ Polymake.BigObjectAllocated(Ptr{Nothing} @0x00000000028c5320)
+ Polymake.BigObjectAllocated(Ptr{Nothing} @0x000000000abd7b40)
+ Polymake.BigObjectAllocated(Ptr{Nothing} @0x000000000a6d7bf0)
+ Polymake.BigObjectAllocated(Ptr{Nothing} @0x000000000a431470)
+ Polymake.BigObjectAllocated(Ptr{Nothing} @0x000000000bcaf290)
+ Polymake.BigObjectAllocated(Ptr{Nothing} @0x00000000098fb670)
+ Polymake.BigObjectAllocated(Ptr{Nothing} @0x000000000a1ba460)</code></pre></div><a class="docs-sourcelink" target="_blank" href="https://github.com/oscar-system/Polymake.jl/blob/ddbf33fa9e99591f3752d5f2ab72ad800dc05bc2/src/polydb.jl#L601-L631">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../getting_started/">« Getting Started</a><a class="docs-footer-nextpage" href="../examples/">Examples »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Wednesday 23 August 2023 21:45">Wednesday 23 August 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>