From f328606fd0656a50c854f11e0fc08b71e6e6a824 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Thu, 12 Oct 2023 16:02:33 +0000 Subject: [PATCH] build based on af28603 --- dev/.documenter-siteinfo.json | 2 +- dev/assets/documenter.js | 85 +++++++++++++++----------- dev/assets/themes/documenter-dark.css | 2 +- dev/assets/themes/documenter-light.css | 2 +- dev/functions/index.html | 2 + dev/index.html | 13 +++- dev/intro/index.html | 13 ---- dev/search_index.js | 2 +- 8 files changed, 68 insertions(+), 53 deletions(-) create mode 100644 dev/functions/index.html delete mode 100644 dev/intro/index.html diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index 3ef3c4a..4d03a7b 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.9.3","generation_timestamp":"2023-10-12T00:17:52","documenter_version":"1.1.0"}} \ No newline at end of file +{"documenter":{"julia_version":"1.9.3","generation_timestamp":"2023-10-12T16:02:30","documenter_version":"1.1.1"}} \ No newline at end of file diff --git a/dev/assets/documenter.js b/dev/assets/documenter.js index 7002e25..f531160 100644 --- a/dev/assets/documenter.js +++ b/dev/assets/documenter.js @@ -75,61 +75,76 @@ $(document).ready(function() { //////////////////////////////////////////////////////////////////////////////// require(['jquery'], function($) { +let timer = 0; var isExpanded = true; $(document).on("click", ".docstring header", function () { let articleToggleTitle = "Expand docstring"; - if ($(this).siblings("section").is(":visible")) { - $(this) - .find(".docstring-article-toggle-button") - .removeClass("fa-chevron-down") - .addClass("fa-chevron-right"); - } else { - $(this) - .find(".docstring-article-toggle-button") - .removeClass("fa-chevron-right") - .addClass("fa-chevron-down"); + debounce(() => { + if ($(this).siblings("section").is(":visible")) { + $(this) + .find(".docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + } else { + $(this) + .find(".docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); - articleToggleTitle = "Collapse docstring"; - } + articleToggleTitle = "Collapse docstring"; + } - $(this) - .find(".docstring-article-toggle-button") - .prop("title", articleToggleTitle); - $(this).siblings("section").slideToggle(); + $(this) + .find(".docstring-article-toggle-button") + .prop("title", articleToggleTitle); + $(this).siblings("section").slideToggle(); + }); }); $(document).on("click", ".docs-article-toggle-button", function () { let articleToggleTitle = "Expand docstring"; let navArticleToggleTitle = "Expand all docstrings"; - if (isExpanded) { - $(this).removeClass("fa-chevron-up").addClass("fa-chevron-down"); - $(".docstring-article-toggle-button") - .removeClass("fa-chevron-down") - .addClass("fa-chevron-right"); + debounce(() => { + if (isExpanded) { + $(this).removeClass("fa-chevron-up").addClass("fa-chevron-down"); + $(".docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); - isExpanded = false; + isExpanded = false; - $(".docstring section").slideUp(); - } else { - $(this).removeClass("fa-chevron-down").addClass("fa-chevron-up"); - $(".docstring-article-toggle-button") - .removeClass("fa-chevron-right") - .addClass("fa-chevron-down"); + $(".docstring section").slideUp(); + } else { + $(this).removeClass("fa-chevron-down").addClass("fa-chevron-up"); + $(".docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); - isExpanded = true; - articleToggleTitle = "Collapse docstring"; - navArticleToggleTitle = "Collapse all docstrings"; + isExpanded = true; + articleToggleTitle = "Collapse docstring"; + navArticleToggleTitle = "Collapse all docstrings"; - $(".docstring section").slideDown(); - } + $(".docstring section").slideDown(); + } - $(this).prop("title", navArticleToggleTitle); - $(".docstring-article-toggle-button").prop("title", articleToggleTitle); + $(this).prop("title", navArticleToggleTitle); + $(".docstring-article-toggle-button").prop("title", articleToggleTitle); + }); }); +function debounce(callback, timeout = 300) { + if (Date.now() - timer > timeout) { + callback(); + } + + clearTimeout(timer); + + timer = Date.now(); +} + }) //////////////////////////////////////////////////////////////////////////////// require([], function() { diff --git a/dev/assets/themes/documenter-dark.css b/dev/assets/themes/documenter-dark.css index 691b83a..ec054ec 100644 --- a/dev/assets/themes/documenter-dark.css +++ b/dev/assets/themes/documenter-dark.css @@ -4,4 +4,4 @@ Maintainer: @ericwbailey Based on the Tomorrow Night Eighties theme: https://github.com/isagalaev/highlight.js/blob/master/src/styles/tomorrow-night-eighties.css -*/}html.theme--documenter-dark html{background-color:#1f2424;font-size:16px;-moz-osx-font-smoothing:grayscale;-webkit-font-smoothing:antialiased;min-width:300px;overflow-x:auto;overflow-y:scroll;text-rendering:optimizeLegibility;text-size-adjust:100%}html.theme--documenter-dark article,html.theme--documenter-dark aside,html.theme--documenter-dark figure,html.theme--documenter-dark footer,html.theme--documenter-dark header,html.theme--documenter-dark hgroup,html.theme--documenter-dark section{display:block}html.theme--documenter-dark body,html.theme--documenter-dark button,html.theme--documenter-dark input,html.theme--documenter-dark optgroup,html.theme--documenter-dark select,html.theme--documenter-dark textarea{font-family:"Lato Medium",-apple-system,BlinkMacSystemFont,"Segoe UI","Helvetica Neue","Helvetica","Arial",sans-serif}html.theme--documenter-dark code,html.theme--documenter-dark 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kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content 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.button.is-warning.is-active{background-color:#946e00;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-warning[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning{background-color:#ad8100;border-color:#ad8100;box-shadow:none}html.theme--documenter-dark .button.is-warning.is-inverted{background-color:#fff;color:#ad8100}html.theme--documenter-dark .button.is-warning.is-inverted:hover,html.theme--documenter-dark .button.is-warning.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#ad8100}html.theme--documenter-dark .button.is-warning.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark 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.button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #9e1b0d #9e1b0d !important}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#fdeeec;color:#ec311d}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#fce3e0;border-color:transparent;color:#ec311d}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#fcd8d5;border-color:transparent;color:#ec311d}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark .button.is-normal{font-size:1rem}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#5e6d6f;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--documenter-dark .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--documenter-dark .buttons .button{margin-bottom:0.5rem}html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--documenter-dark .buttons:last-child{margin-bottom:-0.5rem}html.theme--documenter-dark .buttons:not(:last-child){margin-bottom:1rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--documenter-dark .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--documenter-dark .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--documenter-dark .buttons.has-addons .button:last-child{margin-right:0}html.theme--documenter-dark .buttons.has-addons .button:hover,html.theme--documenter-dark .buttons.has-addons .button.is-hovered{z-index:2}html.theme--documenter-dark .buttons.has-addons .button:focus,html.theme--documenter-dark .buttons.has-addons .button.is-focused,html.theme--documenter-dark .buttons.has-addons .button:active,html.theme--documenter-dark .buttons.has-addons .button.is-active,html.theme--documenter-dark .buttons.has-addons .button.is-selected{z-index:3}html.theme--documenter-dark .buttons.has-addons .button:focus:hover,html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover,html.theme--documenter-dark .buttons.has-addons .button:active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-active:hover,html.theme--documenter-dark .buttons.has-addons 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rgba(0,0,0,0.7) rgba(0,0,0,0.7) !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:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}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:rgba(0,0,0,0.7);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 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kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !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:#fff}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 #fff #fff !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:#fff;color:#fff}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:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-primary,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink{background-color:#375a7f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:hover,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#335476;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-focused.docs-sourcelink{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus:not(:active),html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:focus:not(:active),html.theme--documenter-dark .button.is-primary.is-focused:not(:active),html.theme--documenter-dark .docstring>section>a.button.is-focused.docs-sourcelink:not(:active){box-shadow:0 0 0 0.125em rgba(55,90,127,0.25)}html.theme--documenter-dark .button.is-primary:active,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:active,html.theme--documenter-dark .button.is-primary.is-active,html.theme--documenter-dark .docstring>section>a.button.is-active.docs-sourcelink{background-color:#2f4d6d;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary[disabled],html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary,fieldset[disabled] html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink{background-color:#375a7f;border-color:#375a7f;box-shadow:none}html.theme--documenter-dark .button.is-primary.is-inverted,html.theme--documenter-dark .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;color:#375a7f}html.theme--documenter-dark .button.is-primary.is-inverted:hover,html.theme--documenter-dark .docstring>section>a.button.is-inverted.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-inverted.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-hovered.docs-sourcelink{background-color:#f2f2f2}html.theme--documenter-dark .button.is-primary.is-inverted[disabled],html.theme--documenter-dark .docstring>section>a.button.is-inverted.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted,fieldset[disabled] html.theme--documenter-dark .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;border-color:transparent;box-shadow:none;color:#375a7f}html.theme--documenter-dark .button.is-primary.is-loading::after,html.theme--documenter-dark .docstring>section>a.button.is-loading.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-primary.is-outlined,html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#375a7f;color:#375a7f}html.theme--documenter-dark .button.is-primary.is-outlined:hover,html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-outlined.is-hovered,html.theme--documenter-dark .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 .docstring>section>a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:focus::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-primary.is-outlined[disabled],html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-outlined,fieldset[disabled] html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#375a7f;box-shadow:none;color:#375a7f}html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined,html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:hover,html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink,html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined:focus,html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.is-focused.docs-sourcelink{background-color:#fff;color:#375a7f}html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after,html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #375a7f #375a7f !important}html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined[disabled],html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary.is-inverted.is-outlined,fieldset[disabled] html.theme--documenter-dark .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-primary.is-light,html.theme--documenter-dark .docstring>section>a.button.is-light.docs-sourcelink{background-color:#f1f5f9;color:#4d7eb2}html.theme--documenter-dark .button.is-primary.is-light:hover,html.theme--documenter-dark .docstring>section>a.button.is-light.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-light.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-light.is-hovered.docs-sourcelink{background-color:#e8eef5;border-color:transparent;color:#4d7eb2}html.theme--documenter-dark .button.is-primary.is-light:active,html.theme--documenter-dark .docstring>section>a.button.is-light.docs-sourcelink:active,html.theme--documenter-dark .button.is-primary.is-light.is-active,html.theme--documenter-dark .docstring>section>a.button.is-light.is-active.docs-sourcelink{background-color:#dfe8f1;border-color:transparent;color:#4d7eb2}html.theme--documenter-dark .button.is-link{background-color:#1abc9c;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-link:hover,html.theme--documenter-dark .button.is-link.is-hovered{background-color:#18b193;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-link:focus,html.theme--documenter-dark .button.is-link.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-link:focus:not(:active),html.theme--documenter-dark .button.is-link.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(26,188,156,0.25)}html.theme--documenter-dark .button.is-link:active,html.theme--documenter-dark .button.is-link.is-active{background-color:#17a689;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-link[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-link{background-color:#1abc9c;border-color:#1abc9c;box-shadow:none}html.theme--documenter-dark .button.is-link.is-inverted{background-color:#fff;color:#1abc9c}html.theme--documenter-dark .button.is-link.is-inverted:hover,html.theme--documenter-dark .button.is-link.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-link.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#1abc9c}html.theme--documenter-dark .button.is-link.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-link.is-outlined{background-color:transparent;border-color:#1abc9c;color:#1abc9c}html.theme--documenter-dark .button.is-link.is-outlined:hover,html.theme--documenter-dark .button.is-link.is-outlined.is-hovered,html.theme--documenter-dark .button.is-link.is-outlined:focus,html.theme--documenter-dark .button.is-link.is-outlined.is-focused{background-color:#1abc9c;border-color:#1abc9c;color:#fff}html.theme--documenter-dark .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #1abc9c #1abc9c !important}html.theme--documenter-dark .button.is-link.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-link.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-link.is-outlined{background-color:transparent;border-color:#1abc9c;box-shadow:none;color:#1abc9c}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#1abc9c}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #1abc9c #1abc9c !important}html.theme--documenter-dark .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-link.is-light{background-color:#edfdf9;color:#15987e}html.theme--documenter-dark .button.is-link.is-light:hover,html.theme--documenter-dark .button.is-link.is-light.is-hovered{background-color:#e2fbf6;border-color:transparent;color:#15987e}html.theme--documenter-dark .button.is-link.is-light:active,html.theme--documenter-dark .button.is-link.is-light.is-active{background-color:#d7f9f3;border-color:transparent;color:#15987e}html.theme--documenter-dark .button.is-info{background-color:#024c7d;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-info:hover,html.theme--documenter-dark .button.is-info.is-hovered{background-color:#024470;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-info:focus,html.theme--documenter-dark .button.is-info.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-info:focus:not(:active),html.theme--documenter-dark .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(2,76,125,0.25)}html.theme--documenter-dark .button.is-info:active,html.theme--documenter-dark .button.is-info.is-active{background-color:#023d64;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-info[disabled],fieldset[disabled] html.theme--documenter-dark 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.button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-info.is-light{background-color:#ebf7ff;color:#0e9dfb}html.theme--documenter-dark .button.is-info.is-light:hover,html.theme--documenter-dark .button.is-info.is-light.is-hovered{background-color:#def2fe;border-color:transparent;color:#0e9dfb}html.theme--documenter-dark .button.is-info.is-light:active,html.theme--documenter-dark .button.is-info.is-light.is-active{background-color:#d2edfe;border-color:transparent;color:#0e9dfb}html.theme--documenter-dark .button.is-success{background-color:#008438;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-success:hover,html.theme--documenter-dark .button.is-success.is-hovered{background-color:#073;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-success:focus,html.theme--documenter-dark 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.button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-outlined{background-color:transparent;border-color:#ad8100;box-shadow:none;color:#ad8100}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-focused{background-color:#fff;color:#ad8100}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark 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.button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #9e1b0d #9e1b0d !important}html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined{background-color:transparent;border-color:#9e1b0d;box-shadow:none;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #9e1b0d #9e1b0d !important}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#fdeeec;color:#ec311d}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#fce3e0;border-color:transparent;color:#ec311d}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#fcd8d5;border-color:transparent;color:#ec311d}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark .button.is-normal{font-size:1rem}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#5e6d6f;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--documenter-dark .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--documenter-dark .buttons .button{margin-bottom:0.5rem}html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--documenter-dark .buttons:last-child{margin-bottom:-0.5rem}html.theme--documenter-dark .buttons:not(:last-child){margin-bottom:1rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--documenter-dark .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--documenter-dark .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--documenter-dark .buttons.has-addons .button:last-child{margin-right:0}html.theme--documenter-dark .buttons.has-addons .button:hover,html.theme--documenter-dark .buttons.has-addons .button.is-hovered{z-index:2}html.theme--documenter-dark .buttons.has-addons .button:focus,html.theme--documenter-dark .buttons.has-addons .button.is-focused,html.theme--documenter-dark .buttons.has-addons .button:active,html.theme--documenter-dark .buttons.has-addons .button.is-active,html.theme--documenter-dark .buttons.has-addons .button.is-selected{z-index:3}html.theme--documenter-dark .buttons.has-addons .button:focus:hover,html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover,html.theme--documenter-dark .buttons.has-addons .button:active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--documenter-dark .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--documenter-dark .buttons.is-centered{justify-content:center}html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--documenter-dark .buttons.is-right{justify-content:flex-end}html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:1rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1.25rem}}html.theme--documenter-dark .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--documenter-dark .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--documenter-dark .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--documenter-dark .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--documenter-dark .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--documenter-dark .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--documenter-dark .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--documenter-dark .content li+li{margin-top:0.25em}html.theme--documenter-dark .content p:not(:last-child),html.theme--documenter-dark .content dl:not(:last-child),html.theme--documenter-dark .content ol:not(:last-child),html.theme--documenter-dark .content ul:not(:last-child),html.theme--documenter-dark .content blockquote:not(:last-child),html.theme--documenter-dark .content pre:not(:last-child),html.theme--documenter-dark .content table:not(:last-child){margin-bottom:1em}html.theme--documenter-dark .content h1,html.theme--documenter-dark .content h2,html.theme--documenter-dark .content h3,html.theme--documenter-dark .content h4,html.theme--documenter-dark .content h5,html.theme--documenter-dark .content h6{color:#f2f2f2;font-weight:600;line-height:1.125}html.theme--documenter-dark .content h1{font-size:2em;margin-bottom:0.5em}html.theme--documenter-dark .content h1:not(:first-child){margin-top:1em}html.theme--documenter-dark .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--documenter-dark .content h2:not(:first-child){margin-top:1.1428em}html.theme--documenter-dark .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--documenter-dark .content h3:not(:first-child){margin-top:1.3333em}html.theme--documenter-dark .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--documenter-dark .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content blockquote{background-color:#282f2f;border-left:5px solid #5e6d6f;padding:1.25em 1.5em}html.theme--documenter-dark .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ol:not([type]){list-style-type:decimal}html.theme--documenter-dark .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--documenter-dark .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--documenter-dark .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--documenter-dark .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--documenter-dark .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--documenter-dark .content ul ul ul{list-style-type:square}html.theme--documenter-dark .content dd{margin-left:2em}html.theme--documenter-dark .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--documenter-dark .content figure:not(:first-child){margin-top:2em}html.theme--documenter-dark .content figure:not(:last-child){margin-bottom:2em}html.theme--documenter-dark .content figure img{display:inline-block}html.theme--documenter-dark .content figure figcaption{font-style:italic}html.theme--documenter-dark .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--documenter-dark .content sup,html.theme--documenter-dark .content sub{font-size:75%}html.theme--documenter-dark .content table{width:100%}html.theme--documenter-dark .content table td,html.theme--documenter-dark .content table th{border:1px solid #5e6d6f;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--documenter-dark .content table th{color:#f2f2f2}html.theme--documenter-dark .content table th:not([align]){text-align:inherit}html.theme--documenter-dark .content table 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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 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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:1rem;margin:-.25rem}html.theme--documenter-dark .pagination.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.75rem}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 .pagination.is-rounded .pagination-previous,html.theme--documenter-dark #documenter .docs-sidebar 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.hljs-keyword,.hljs-doctag,.hljs-name{font-weight:bold}.hljs-type,.hljs-string,.hljs-number,.hljs-selector-id,.hljs-selector-class,.hljs-quote,.hljs-template-tag,.hljs-deletion{color:#880000}.hljs-title,.hljs-section{color:#880000;font-weight:bold}.hljs-regexp,.hljs-symbol,.hljs-variable,.hljs-template-variable,.hljs-link,.hljs-selector-attr,.hljs-operator,.hljs-selector-pseudo{color:#ab5656}.hljs-literal{color:#695}.hljs-built_in,.hljs-bullet,.hljs-code,.hljs-addition{color:#397300}.hljs-meta{color:#1f7199}.hljs-meta .hljs-string{color:#38a}.hljs-emphasis{font-style:italic}.hljs-strong{font-weight:bold}.gap-4{gap:1rem} diff --git a/dev/functions/index.html b/dev/functions/index.html new file mode 100644 index 0000000..9855f55 --- /dev/null +++ b/dev/functions/index.html @@ -0,0 +1,2 @@ + +Function definitions · AnalyticComb.jl
AnalyticComb.I_gf — Method
I_gf(z)

Integers as combinatorial structures

$I(z)= \sum_{n \geq 1} z^n = \frac{z}{1-z}$

source
AnalyticComb.MSET — Method
MSET(z)

Multiset operator (Pólya exponential operator).

Defined as $A = MSET(B) \implies A(z) = \frac{1}{1 - B(z)}$.

source
AnalyticComb.SEQ — Method
SEQ(z)

Sequence operator (Pólya quasi-inverse operator).

Defined as $A = SEQ(B) \implies A(z) = \frac{1}{1 - B(z)}$.

source
AnalyticComb.W_coeff — Method
W_coeff(r;n_tot=200)

Taylor series coefficient from generating function for binary words that never have more than r consecutive identical letters.

The number of binary words that never have more than r consecutive identical letters is found to be (set α = β = r). n_tot defaults to 200, according to the example in Flajolet & Sedgewick pag. 52

source
AnalyticComb.p_binary_words_doub_runl — Method
p_binary_words_doub_runl(k,n)

Returns probablity associatied with k-lenght double runs (or either 0s or 1s) in a sequence of size n.

Specification is W ∼= SEQ(b) SEQ(a SEQ(a) b SEQ(b)) SEQ(a). Refer to the example in Flajolet & Sedgewick pag. 52.

source
AnalyticComb.partitions_gf — Method
partitions_gf(z,max)

Generating function for integer partitions.

Defined as $P(z) = \prod{m = 1}_{\Inf} \frac{1}{1-z^m}$ Use series to obtain counts(EIS A000041): series(partitions_gf(z,10),z,0,8) for n up to 8.

source
AnalyticComb.restricted_sum_comp — Method
restricted_sum_comp(n,r)

Number of compositions of n with components in the set {1,2,..,r}.

r = 2 yields Fibonnaci numbers (EIS A000045): $F_{n} = F_{n-1} + F_{n-2}$. r>2 yields generalized Fibonacci numbers.

source
AnalyticComb.restricted_sum_part — Method
restricted_sum_part(n,r)

Number of partitions with components in r with restricted summand n.

n must be an integer and r must be a set of integers, like in r = [1,5,10,25] , n = 99.

source
diff --git a/dev/index.html b/dev/index.html index 6c2eb23..d6b90b0 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,2 +1,13 @@ -Function definitions · AnalyticComb.jl

AnalyticComb

Documentation for AnalyticComb.

AnalyticComb.I_gf — Method
I_gf(z)

Integers as combinatorial structures

$I(z)= \sum_{n \geq 1} z^n = \frac{z}{1-z}$

source
AnalyticComb.MSET — Method
MSET(z)

Multiset operator (Pólya exponential operator).

Defined as $A = MSET(B) \implies A(z) = \frac{1}{1 - B(z)}$.

source
AnalyticComb.SEQ — Method
SEQ(z)

Sequence operator (Pólya quasi-inverse operator).

Defined as $A = SEQ(B) \implies A(z) = \frac{1}{1 - B(z)}$.

source
AnalyticComb.W_coeff — Method
W_coeff(r;n_tot=200)

Taylor series coefficient from generating function for binary words that never have more than r consecutive identical letters.

The number of binary words that never have more than r consecutive identical letters is found to be (set α = β = r). n_tot defaults to 200, according to the example in Flajolet & Sedgewick pag. 52

source
AnalyticComb.p_binary_words_doub_runl — Method
p_binary_words_doub_runl(k,n)

Returns probablity associatied with k-lenght double runs (or either 0s or 1s) in a sequence of size n.

Specification is W ∼= SEQ(b) SEQ(a SEQ(a) b SEQ(b)) SEQ(a). Refer to the example in Flajolet & Sedgewick pag. 52.

source
AnalyticComb.partitions_gf — Method
partitions_gf(z,max)

Generating function for integer partitions.

Defined as $P(z) = \prod{m = 1}_{\Inf} \frac{1}{1-z^m}$ Use series to obtain counts(EIS A000041): series(partitions_gf(z,10),z,0,8) for n up to 8.

source
AnalyticComb.restricted_sum_comp — Method
restricted_sum_comp(n,r)

Number of compositions of n with components in the set {1,2,..,r}.

r = 2 yields Fibonnaci numbers (EIS A000045): $F_{n} = F_{n-1} + F_{n-2}$. r>2 yields generalized Fibonacci numbers.

source
AnalyticComb.restricted_sum_part — Method
restricted_sum_part(n,r)

Number of partitions with components in r with restricted summand n.

n must be an integer and r must be a set of integers, like in r = [1,5,10,25] , n = 99.

source
+Introduction · AnalyticComb.jl

AnalyticComb

Documentation for AnalyticComb.

Introduction

This package implements solutions for combinatorial problems using analytic combinatorics. Check the text book by Flajojelt & Sedgewick ( https://algo.inria.fr/flajolet/Publications/book.pdf ) and Coursera's full course by Robert Sedgewick ( https://www.coursera.org/learn/analytic-combinatorics ).

In, 1751, Euler was studying the number of ways in which a given convex polygon could be decomposed into triangles by diagonal lines. (Flajolet & Sedgewick, p.20)

He realized that the progression of numbers in the solution (1, 2, 5, 14, 42, 132,...) was directly related to the coefficients of the series expansion of the polynomial fraction (1−2a−√(1−4a)) / (2aa), that is: 1+2a +5a^2 + 14a^3 + 42a^4 + 132a^5 + ...

Given any constructable combinatorial structure, one can use a set of operators to find a generating function and then approach the problem analytically.

Install

Python package sympy is required. 

$python -m pip install --upgrade pip
+$pip install sympy

Then, from Julia: 

pkg>add AnalyticComb

Quick start

SymPy.jl functionalities are reexported.

Probability for consecutive double runs (either 0s or 1s) of lenght k in binary words of length n, use p_binary_words_doub_runl(k,n)

julia>using AnalyticComb
+julia>p_binary_words_doub_runl(6,200) #e.g. 100000011010... or 01111110101...
+0.166...

Stirling approximation for n!:

julia> stirling_factorial(7)
+4980.395831612462

Using SEQ operator to solve Polya partitions with restricted summands (denumerants) problem (see Flajolet & Sedgewick,p. 43) about the number of ways of giving change of 99 cents using pennies (1 cent), nickels (5 cents), dimes (10 cents) and quarters (25 cents). 

julia> restricted_sum_part_gf([1,5,10,25]) # generating function SEQ(z)*SEQ(z^5)*SEQ(z^10)*SEQ(z^25)
+                 1                  
+────────────────────────────────────
+        ⎛     5⎞ ⎛     10⎞ ⎛     25⎞
+(1 - z)⋅⎝1 - z ⎠⋅⎝1 - z  ⎠⋅⎝1 - z  ⎠
+
+julia>restricted_sum_part(99,[1,5,10,25]) 
+213
diff --git a/dev/intro/index.html b/dev/intro/index.html deleted file mode 100644 index 1adfaba..0000000 --- a/dev/intro/index.html +++ /dev/null @@ -1,13 +0,0 @@ - -Introduction · AnalyticComb.jl

Introduction

This package implements solutions for combinatorial problems using analytic combinatorics. Check the text book by Flajojelt & Sedgewick ( https://algo.inria.fr/flajolet/Publications/book.pdf ) and Coursera's full course by Robert Sedgewick ( https://www.coursera.org/learn/analytic-combinatorics ).

In, 1751, Euler was studying the number of ways in which a given convex polygon could be decomposed into triangles by diagonal lines. (Flajolet & Sedgewick, p.20)

He realized that the progression of numbers in the solution (1, 2, 5, 14, 42, 132,...) was directly related to the coefficients of the series expansion of the polynomial fraction (1−2a−√(1−4a)) / (2aa), that is: 1+2a +5a^2 + 14a^3 + 42a^4 + 132a^5 + ...

Given any constructable combinatorial structure, one can use a set of operators to find a generating function and then approach the problem analytically.

Install

Python package sympy is required. 

$python -m pip install --upgrade pip
-$pip install sympy

Then, from Julia: 

pkg>add AnalyticComb

Quick start

SymPy.jl functionalities are reexported.

Probability for consecutive double runs (either 0s or 1s) of lenght k in binary words of length n, use p_binary_words_doub_runl(k,n)

julia>using AnalyticComb
-julia>p_binary_words_doub_runl(6,200) #e.g. 100000011010... or 01111110101...
-0.166...

Stirling approximation for n!:

julia> stirling_factorial(7)
-4980.395831612462

Using SEQ operator to solve Polya partitions with restricted summands (denumerants) problem (see Flajolet & Sedgewick,p. 43) about the number of ways of giving change of 99 cents using pennies (1 cent), nickels (5 cents), dimes (10 cents) and quarters (25 cents). 

julia> restricted_sum_part_gf([1,5,10,25]) # generating function SEQ(z)*SEQ(z^5)*SEQ(z^10)*SEQ(z^25)
-                 1                  
-────────────────────────────────────
-        ⎛     5⎞ ⎛     10⎞ ⎛     25⎞
-(1 - z)⋅⎝1 - z ⎠⋅⎝1 - z  ⎠⋅⎝1 - z  ⎠
-
-julia>restricted_sum_part(99,[1,5,10,25]) 
-213
diff --git a/dev/search_index.js b/dev/search_index.js index 39a8aa0..53a5ce5 100644 --- a/dev/search_index.js +++ b/dev/search_index.js @@ -1,3 +1,3 @@ var documenterSearchIndex = {"docs": -[{"location":"intro/#Introduction","page":"Introduction","title":"Introduction","text":"","category":"section"},{"location":"intro/","page":"Introduction","title":"Introduction","text":"This package implements solutions for combinatorial problems using analytic combinatorics. Check the text book by Flajojelt & Sedgewick ( https://algo.inria.fr/flajolet/Publications/book.pdf ) and Coursera's full course by Robert Sedgewick ( https://www.coursera.org/learn/analytic-combinatorics ). ","category":"page"},{"location":"intro/","page":"Introduction","title":"Introduction","text":"In, 1751, Euler was studying the number of ways in which a given convex polygon could be decomposed into triangles by diagonal lines. 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","category":"page"},{"location":"intro/","page":"Introduction","title":"Introduction","text":"julia> restricted_sum_part_gf([1,5,10,25]) # generating function SEQ(z)*SEQ(z^5)*SEQ(z^10)*SEQ(z^25)\n 1 \n────────────────────────────────────\n ⎛ 5⎞ ⎛ 10⎞ ⎛ 25⎞\n(1 - z)⋅⎝1 - z ⎠⋅⎝1 - z ⎠⋅⎝1 - z ⎠\n\njulia>restricted_sum_part(99,[1,5,10,25]) \n213","category":"page"},{"location":"","page":"Function definitions","title":"Function definitions","text":"CurrentModule = AnalyticComb","category":"page"},{"location":"#AnalyticComb","page":"Function definitions","title":"AnalyticComb","text":"","category":"section"},{"location":"","page":"Function definitions","title":"Function definitions","text":"Documentation for AnalyticComb.","category":"page"},{"location":"","page":"Function definitions","title":"Function definitions","text":"","category":"page"},{"location":"","page":"Function definitions","title":"Function definitions","text":"Modules = [AnalyticComb]","category":"page"},{"location":"#AnalyticComb.I_gf-Tuple{Any}","page":"Function definitions","title":"AnalyticComb.I_gf","text":"I_gf(z)\n\nIntegers as combinatorial structures \n\nI(z)= sum_n geq 1 z^n = fracz1-z\n\n\n\n\n\n","category":"method"},{"location":"#AnalyticComb.MSET-Tuple{Any, Any}","page":"Function definitions","title":"AnalyticComb.MSET","text":"MSET(z)\n\nMultiset operator (Pólya exponential operator). \n\nDefined as A = MSET(B) implies A(z) = frac11 - B(z).\n\n\n\n\n\n","category":"method"},{"location":"#AnalyticComb.SEQ-Tuple{Any}","page":"Function definitions","title":"AnalyticComb.SEQ","text":"SEQ(z)\n\nSequence operator (Pólya quasi-inverse operator). \n\nDefined as A = SEQ(B) implies A(z) = frac11 - B(z).\n\n\n\n\n\n","category":"method"},{"location":"#AnalyticComb.W_coeff-Tuple{Any}","page":"Function definitions","title":"AnalyticComb.W_coeff","text":"W_coeff(r;n_tot=200)\n\nTaylor series coefficient from generating function for binary words that never have more than r consecutive identical letters. \n\nThe number of binary words that never have more than r consecutive identical letters is found to be (set α = β = r). n_tot defaults to 200, according to the example in Flajolet & Sedgewick pag. 52\n\n\n\n\n\n","category":"method"},{"location":"#AnalyticComb.p_binary_words_doub_runl-Tuple{Any, Any}","page":"Function definitions","title":"AnalyticComb.p_binary_words_doub_runl","text":"p_binary_words_doub_runl(k,n)\n\nReturns probablity associatied with k-lenght double runs (or either 0s or 1s) in a sequence of size n. \n\nSpecification is W ∼= SEQ(b) SEQ(a SEQ(a) b SEQ(b)) SEQ(a). Refer to the example in Flajolet & Sedgewick pag. 52. \n\n\n\n\n\n","category":"method"},{"location":"#AnalyticComb.partitions_asym-Tuple{Any}","page":"Function definitions","title":"AnalyticComb.partitions_asym","text":"partitions_asym(n)\n\nAsymptotics for partition of integers (EIS A000041) by Hardy and Ramanujan, later improved by Rademache\n\n\n\n\n\n","category":"method"},{"location":"#AnalyticComb.partitions_gf-Tuple{Any, Any}","page":"Function definitions","title":"AnalyticComb.partitions_gf","text":"partitions_gf(z,max)\n\nGenerating function for integer partitions.\n\nDefined as P(z) = prodm = 1_Inf frac11-z^m Use series to obtain counts(EIS A000041): series(partitions_gf(z,10),z,0,8) for n up to 8.\n\n\n\n\n\n","category":"method"},{"location":"#AnalyticComb.primes_composition_asym-Tuple{Any}","page":"Function definitions","title":"AnalyticComb.primes_composition_asym","text":"primes_composition_asym(n)\n\nAsymptotics for composition of n into prime parts (EIS A023360).\n\nB_n sim 030365 * 147622^n\n\n\n\n\n\n","category":"method"},{"location":"#AnalyticComb.restricted_sum_comp-Tuple{Any, Any}","page":"Function definitions","title":"AnalyticComb.restricted_sum_comp","text":"restricted_sum_comp(n,r)\n\nNumber of compositions of n with components in the set {1,2,..,r}. \n\nr = 2 yields Fibonnaci numbers (EIS A000045): F_n = F_n-1 + F_n-2. r>2 yields generalized Fibonacci numbers.\n\n\n\n\n\n","category":"method"},{"location":"#AnalyticComb.restricted_sum_comp_gf-Tuple{Any}","page":"Function definitions","title":"AnalyticComb.restricted_sum_comp_gf","text":"restricted_sum_comp_gf(r)\n\nGenerating function for compositions with restricted summand.\n\n\n\n\n\n","category":"method"},{"location":"#AnalyticComb.restricted_sum_part-Tuple{Any, Any}","page":"Function definitions","title":"AnalyticComb.restricted_sum_part","text":"restricted_sum_part(n,r)\n\nNumber of partitions with components in r with restricted summand n.\n\nn must be an integer and r must be a set of integers, like in r = [1,5,10,25] , n = 99.\n\n\n\n\n\n","category":"method"},{"location":"#AnalyticComb.restricted_sum_part_gf-Tuple{Any}","page":"Function definitions","title":"AnalyticComb.restricted_sum_part_gf","text":"restricted_sum_part_gf(r)\n\nGenerating function for partition with restricted summand.\n\n\n\n\n\n","category":"method"},{"location":"#AnalyticComb.stirling_catalan_asym-Tuple{Any}","page":"Function definitions","title":"AnalyticComb.stirling_catalan_asym","text":"stirling_catalan_asym(n)\n\nStirling approximation for n_th Catalan number. (EIS A000108)\n\nC_n sim frac4^nsqrtpi n^3\n\n\n\n\n\n","category":"method"},{"location":"#AnalyticComb.stirling_factorial_asym-Tuple{Any}","page":"Function definitions","title":"AnalyticComb.stirling_factorial_asym","text":"stirling_factorial_asym(n)\n\nStirling approximation for n! (EIS A000142)\n\nn sim sqrt2 pi n fracne^n\n\n\n\n\n\n","category":"method"}] +[{"location":"functions/","page":"Function definitions","title":"Function definitions","text":"CurrentModule = AnalyticComb","category":"page"},{"location":"functions/","page":"Function definitions","title":"Function definitions","text":"","category":"page"},{"location":"functions/","page":"Function definitions","title":"Function definitions","text":"Modules = [AnalyticComb]","category":"page"},{"location":"functions/#AnalyticComb.I_gf-Tuple{Any}","page":"Function definitions","title":"AnalyticComb.I_gf","text":"I_gf(z)\n\nIntegers as combinatorial structures \n\nI(z)= sum_n geq 1 z^n = fracz1-z\n\n\n\n\n\n","category":"method"},{"location":"functions/#AnalyticComb.MSET-Tuple{Any, Any}","page":"Function definitions","title":"AnalyticComb.MSET","text":"MSET(z)\n\nMultiset operator (Pólya exponential operator). \n\nDefined as A = MSET(B) implies A(z) = frac11 - B(z).\n\n\n\n\n\n","category":"method"},{"location":"functions/#AnalyticComb.SEQ-Tuple{Any}","page":"Function definitions","title":"AnalyticComb.SEQ","text":"SEQ(z)\n\nSequence operator (Pólya quasi-inverse operator). \n\nDefined as A = SEQ(B) implies A(z) = frac11 - B(z).\n\n\n\n\n\n","category":"method"},{"location":"functions/#AnalyticComb.W_coeff-Tuple{Any}","page":"Function definitions","title":"AnalyticComb.W_coeff","text":"W_coeff(r;n_tot=200)\n\nTaylor series coefficient from generating function for binary words that never have more than r consecutive identical letters. \n\nThe number of binary words that never have more than r consecutive identical letters is found to be (set α = β = r). n_tot defaults to 200, according to the example in Flajolet & Sedgewick pag. 52\n\n\n\n\n\n","category":"method"},{"location":"functions/#AnalyticComb.p_binary_words_doub_runl-Tuple{Any, Any}","page":"Function definitions","title":"AnalyticComb.p_binary_words_doub_runl","text":"p_binary_words_doub_runl(k,n)\n\nReturns probablity associatied with k-lenght double runs (or either 0s or 1s) in a sequence of size n. \n\nSpecification is W ∼= SEQ(b) SEQ(a SEQ(a) b SEQ(b)) SEQ(a). 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(EIS A000108)\n\nC_n sim frac4^nsqrtpi n^3\n\n\n\n\n\n","category":"method"},{"location":"functions/#AnalyticComb.stirling_factorial_asym-Tuple{Any}","page":"Function definitions","title":"AnalyticComb.stirling_factorial_asym","text":"stirling_factorial_asym(n)\n\nStirling approximation for n! (EIS A000142)\n\nn sim sqrt2 pi n fracne^n\n\n\n\n\n\n","category":"method"},{"location":"","page":"Introduction","title":"Introduction","text":"CurrentModule = AnalyticComb","category":"page"},{"location":"#AnalyticComb","page":"Introduction","title":"AnalyticComb","text":"","category":"section"},{"location":"","page":"Introduction","title":"Introduction","text":"Documentation for AnalyticComb.","category":"page"},{"location":"#Introduction","page":"Introduction","title":"Introduction","text":"","category":"section"},{"location":"","page":"Introduction","title":"Introduction","text":"This package implements solutions for combinatorial problems using analytic combinatorics. 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","category":"page"},{"location":"","page":"Introduction","title":"Introduction","text":"Probability for consecutive double runs (either 0s or 1s) of lenght k in binary words of length n, use p_binary_words_doub_runl(k,n)","category":"page"},{"location":"","page":"Introduction","title":"Introduction","text":"julia>using AnalyticComb\njulia>p_binary_words_doub_runl(6,200) #e.g. 100000011010... or 01111110101...\n0.166...","category":"page"},{"location":"","page":"Introduction","title":"Introduction","text":"Stirling approximation for n!:","category":"page"},{"location":"","page":"Introduction","title":"Introduction","text":"julia> stirling_factorial(7)\n4980.395831612462","category":"page"},{"location":"","page":"Introduction","title":"Introduction","text":"Using SEQ operator to solve Polya partitions with restricted summands (denumerants) problem (see Flajolet & Sedgewick,p. 43) about the number of ways of giving change of 99 cents using pennies (1 cent), nickels (5 cents), dimes (10 cents) and quarters (25 cents). ","category":"page"},{"location":"","page":"Introduction","title":"Introduction","text":"julia> restricted_sum_part_gf([1,5,10,25]) # generating function SEQ(z)*SEQ(z^5)*SEQ(z^10)*SEQ(z^25)\n 1 \n────────────────────────────────────\n ⎛ 5⎞ ⎛ 10⎞ ⎛ 25⎞\n(1 - z)⋅⎝1 - z ⎠⋅⎝1 - z ⎠⋅⎝1 - z ⎠\n\njulia>restricted_sum_part(99,[1,5,10,25]) \n213","category":"page"}] }