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<article itemscope itemtype="http://schema.org/Article"><div class="article__header"><header><h1>STimage-1K4M Dataset</h1></header></div><meta itemprop="headline" content="STimage-1K4M Dataset"><meta itemprop="author" content="Jiawen CHen"/><div class="js-article-content"><div class="layout--article"> |
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<div class="article__content" itemprop="articleBody"><p>Welcome to the STimage-1K4M Dataset repository. This dataset is designed to foster research in the field of spatial transcriptomics, combining high-resolution histopathology images with detailed gene expression data.</p> |
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<p><img src="doc_data/f1.png" alt="teaser" title="teaser" /></p> |
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<h2 id="dataset-description">Dataset Description</h2> |
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<p>STimage-1K4M consists of 1,149 spatial transcriptomics slides, totaling over 4 million spots with paired gene expression data. This dataset includes:</p> |
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<ul> |
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<li>Images.</li> |
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<li>Gene expression profiles matched with high-resolution histopathology images.</li> |
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<li>Spatial coordinates for each spot.</li> |
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</ul> |
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<p>See example folder for an example slide from Andersson et al. (pmid: 34650042).</p> |
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<h2 id="getting-started">Getting Started</h2> |
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<p>To use the STimage-1K4M dataset in your research, please access the dataset via <a href="https://huggingface.co/datasets/jiawennnn/STimage-1K4M">Hugging Face</a>.</p> |
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<h2 id="data-structure">Data structure</h2> |
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<p>The data structure is organized as follows:</p> |
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<div class="language-bash highlighter-rouge"><div class="highlight"><pre class="highlight"><code>├── annotation <span class="c"># Pathologist annotation</span> |
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├── meta <span class="c"># Test files (alternatively `spec` or `tests`)</span> |
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│ ├── bib.txt <span class="c"># the bibtex for all studies with pmid included in the dataset</span> |
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│ ├── meta_all_gene.csv <span class="c"># The meta information</span> |
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├── ST <span class="c"># Include all data for tech: Spatial Transcriptomics</span> |
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│ ├── coord <span class="c"># Include the spot coordinates & spot radius of each slide</span> |
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│ ├── gene_exp <span class="c"># Include the gene expression of each slide</span> |
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│ └── image <span class="c"># Include the image each slide</span> |
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├── Visium <span class="c"># Include all data for tech: Visium, same structure as ST</span> |
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├── VisiumHD <span class="c"># Include all data for tech: VisiumHD, same structure as ST</span> |
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</code></pre></div></div> |
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<h2 id="document">Document</h2> |
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<p>The code for data processing and reproducing evaluation result in the paper are in <a href="01-make-meta">Document</a>.</p> |
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<h2 id="acknowledgement">Acknowledgement</h2> |
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<p>The fine-tuning and evaluation codes borrows heavily from <a href="https://github.com/openai/CLIP/issues/83">CLIP</a> and <a href="https://github.com/PathologyFoundation/plip/">PLIP</a>.</p> |
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<h2 id="citation">Citation</h2> |
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<div class="language-plaintext highlighter-rouge"><div class="highlight"><pre class="highlight"><code>@misc{chen2024stimage1k4m, |
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title={STimage-1K4M: A histopathology image-gene expression dataset for spatial transcriptomics}, |
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author={Jiawen Chen and Muqing Zhou and Wenrong Wu and Jinwei Zhang and Yun Li and Didong Li}, |
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year={2024}, |
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eprint={2406.06393}, |
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archivePrefix={arXiv}, |
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primaryClass={cs.CV} |
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} |
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</code></pre></div></div> |
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<h2 id="license">License</h2> |
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<p>All code is licensed under the MIT License - see the LICENSE.md file for details.</p> |
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<path class="svgpath" data-index="path_0" fill="#272636" d="M0 525.2c0 223.6 143.3 413.7 343 483.5 26.9 6.8 22.8-12.4 22.8-25.4l0-88.7c-155.3 18.2-161.5-84.6-172-101.7-21.1-36-70.8-45.2-56-62.3 35.4-18.2 71.4 4.6 113.1 66.3 30.2 44.7 89.1 37.2 119 29.7 6.5-26.9 20.5-50.9 39.7-69.6C248.8 728.2 181.7 630 181.7 513.2c0-56.6 18.7-108.7 55.3-150.7-23.3-69.3 2.2-128.5 5.6-137.3 66.5-6 135.5 47.6 140.9 51.8 37.8-10.2 80.9-15.6 129.1-15.6 48.5 0 91.8 5.6 129.8 15.9 12.9-9.8 77-55.8 138.8-50.2 3.3 8.8 28.2 66.7 6.3 135 37.1 42.1 56 94.6 56 151.4 0 117-67.5 215.3-228.8 243.7 26.9 26.6 43.6 63.4 43.6 104.2l0 128.8c0.9 10.3 0 20.5 17.2 20.5C878.1 942.4 1024 750.9 1024 525.3c0-282.9-229.3-512-512-512C229.1 13.2 0 242.3 0 525.2L0 525.2z" /> |
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|
</svg> |
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</div> |
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</a> |
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</li></ul> |
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</div> |
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</div> |
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</div><div class="site-info mt-2"> |
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<div> |
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</div> |
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</div> |
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</div> |
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</footer> |
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</div></div> |
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</div><script>(function() { |
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var SOURCES = window.TEXT_VARIABLES.sources; |
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window.Lazyload.js(SOURCES.jquery, function() { |
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var $body = $('body'), $window = $(window); |
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var $pageRoot = $('.js-page-root'), $pageMain = $('.js-page-main'); |
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var activeCount = 0; |
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function modal(options) { |
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var $root = this, visible, onChange, hideWhenWindowScroll = false; |
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var scrollTop; |
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function setOptions(options) { |
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var _options = options || {}; |
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visible = _options.initialVisible === undefined ? false : show; |
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onChange = _options.onChange; |
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hideWhenWindowScroll = _options.hideWhenWindowScroll; |
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|
} |
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function init() { |
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setState(visible); |
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} |
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function setState(isShow) { |
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|
if (isShow === visible) { |
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|
return; |
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} |
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visible = isShow; |
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if (visible) { |
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activeCount++; |
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scrollTop = $(window).scrollTop() || $pageMain.scrollTop(); |
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$root.addClass('modal--show'); |
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$pageMain.scrollTop(scrollTop); |
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activeCount === 1 && ($pageRoot.addClass('show-modal'), $body.addClass('of-hidden')); |
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hideWhenWindowScroll && window.hasEvent('touchstart') && $window.on('scroll', hide); |
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$window.on('keyup', handleKeyup); |
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} else { |
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activeCount > 0 && activeCount--; |
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$root.removeClass('modal--show'); |
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$window.scrollTop(scrollTop); |
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activeCount === 0 && ($pageRoot.removeClass('show-modal'), $body.removeClass('of-hidden')); |
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hideWhenWindowScroll && window.hasEvent('touchstart') && $window.off('scroll', hide); |
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$window.off('keyup', handleKeyup); |
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} |
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onChange && onChange(visible); |
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} |
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function show() { |
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setState(true); |
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} |
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function hide() { |
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setState(false); |
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} |
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function handleKeyup(e) { |
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if (e.which === 27) { |
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hide(); |
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} |
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} |
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setOptions(options); |
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init(); |
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return { |
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show: show, |
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hide: hide, |
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$el: $root |
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}; |
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} |
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$.fn.modal = modal; |
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}); |
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})(); |
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</script><div class="modal modal--overflow page__search-modal d-print-none js-page-search-modal"><script> |
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(function () { |
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var SOURCES = window.TEXT_VARIABLES.sources; |
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window.Lazyload.js(SOURCES.jquery, function() { |
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var search = (window.search || (window.search = {})); |
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var useDefaultSearchBox = window.useDefaultSearchBox === undefined ? |
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true : window.useDefaultSearchBox ; |
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var $searchModal = $('.js-page-search-modal'); |
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var $searchToggle = $('.js-search-toggle'); |
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var searchModal = $searchModal.modal({ onChange: handleModalChange, hideWhenWindowScroll: true }); |
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var modalVisible = false; |
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search.searchModal = searchModal; |
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var $searchBox = null; |
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var $searchInput = null; |
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var $searchClear = null; |
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function getModalVisible() { |
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return modalVisible; |
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} |
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search.getModalVisible = getModalVisible; |
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function handleModalChange(visible) { |
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modalVisible = visible; |
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if (visible) { |
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search.onShow && search.onShow(); |
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useDefaultSearchBox && $searchInput[0] && $searchInput[0].focus(); |
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} else { |
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search.onShow && search.onHide(); |
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useDefaultSearchBox && $searchInput[0] && $searchInput[0].blur(); |
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setTimeout(function() { |
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useDefaultSearchBox && ($searchInput.val(''), $searchBox.removeClass('not-empty')); |
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search.clear && search.clear(); |
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window.pageAsideAffix && window.pageAsideAffix.refresh(); |
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}, 400); |
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} |
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} |
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$searchToggle.on('click', function() { |
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modalVisible ? searchModal.hide() : searchModal.show(); |
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}); |
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$(window).on('keyup', function(e) { |
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if (!modalVisible && !window.isFormElement(e.target || e.srcElement) && (e.which === 83 || e.which === 191)) { |
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modalVisible || searchModal.show(); |
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} |
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}); |
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if (useDefaultSearchBox) { |
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$searchBox = $('.js-search-box'); |
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$searchInput = $searchBox.children('input'); |
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$searchClear = $searchBox.children('.js-icon-clear'); |
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search.getSearchInput = function() { |
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return $searchInput.get(0); |
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}; |
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search.getVal = function() { |
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return $searchInput.val(); |
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|
}; |
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search.setVal = function(val) { |
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$searchInput.val(val); |
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}; |
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$searchInput.on('focus', function() { |
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|
$(this).addClass('focus'); |
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|
}); |
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$searchInput.on('blur', function() { |
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|
$(this).removeClass('focus'); |
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|
}); |
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|
$searchInput.on('input', window.throttle(function() { |
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|
var val = $(this).val(); |
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if (val === '' || typeof val !== 'string') { |
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|
search.clear && search.clear(); |
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|
} else { |
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|
$searchBox.addClass('not-empty'); |
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|
search.onInputNotEmpty && search.onInputNotEmpty(val); |
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|
} |
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|
}, 400)); |
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$searchClear.on('click', function() { |
|
|
$searchInput.val(''); $searchBox.removeClass('not-empty'); |
|
|
search.clear && search.clear(); |
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|
}); |
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|
} |
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|
}); |
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|
})(); |
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</script><div class="search search--dark"> |
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<div class="main"> |
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<div class="search__header">Search</div> |
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<div class="search-bar"> |
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<div class="search-box js-search-box"> |
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<div class="search-box__icon-search"><i class="fas fa-search"></i></div> |
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|
<input type="text" /> |
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<div class="search-box__icon-clear js-icon-clear"> |
|
|
<a><i class="fas fa-times"></i></a> |
|
|
</div> |
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|
</div> |
|
|
<button class="button button--theme-dark button--pill search__cancel js-search-toggle"> |
|
|
Cancel</button> |
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|
</div> |
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|
<div class="search-result js-search-result"></div> |
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</div> |
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</div> |
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<script>var SOURCES = window.TEXT_VARIABLES.sources; |
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|
var PAHTS = window.TEXT_VARIABLES.paths; |
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window.Lazyload.js([SOURCES.jquery, PAHTS.search_js], function() { |
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|
var search = (window.search || (window.search = {})); |
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|
var searchData = window.TEXT_SEARCH_DATA || {}; |
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|
|
function memorize(f) { |
|
|
var cache = {}; |
|
|
return function () { |
|
|
var key = Array.prototype.join.call(arguments, ','); |
|
|
if (key in cache) return cache[key]; |
|
|
else return cache[key] = f.apply(this, arguments); |
|
|
}; |
|
|
} |
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|
|
|
|
|
|
|
function searchByQuery(query) { |
|
|
var i, j, key, keys, cur, _title, result = {}; |
|
|
keys = Object.keys(searchData); |
|
|
for (i = 0; i < keys.length; i++) { |
|
|
key = keys[i]; |
|
|
for (j = 0; j < searchData[key].length; j++) { |
|
|
cur = searchData[key][j], _title = cur.title; |
|
|
if ((result[key] === undefined || result[key] && result[key].length < 4 ) |
|
|
&& _title.toLowerCase().indexOf(query.toLowerCase()) >= 0) { |
|
|
if (result[key] === undefined) { |
|
|
result[key] = []; |
|
|
} |
|
|
result[key].push(cur); |
|
|
} |
|
|
} |
|
|
} |
|
|
return result; |
|
|
} |
|
|
|
|
|
var renderHeader = memorize(function(header) { |
|
|
return $('<p class="search-result__header">' + header + '</p>'); |
|
|
}); |
|
|
|
|
|
var renderItem = function(index, title, url) { |
|
|
return $('<li class="search-result__item" data-index="' + index + '"><a class="button" href="' + url + '">' + title + '</a></li>'); |
|
|
}; |
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|
|
|
|
function render(data) { |
|
|
if (!data) { return null; } |
|
|
var $root = $('<ul></ul>'), i, j, key, keys, cur, itemIndex = 0; |
|
|
keys = Object.keys(data); |
|
|
for (i = 0; i < keys.length; i++) { |
|
|
key = keys[i]; |
|
|
$root.append(renderHeader(key)); |
|
|
for (j = 0; j < data[key].length; j++) { |
|
|
cur = data[key][j]; |
|
|
$root.append(renderItem(itemIndex++, cur.title, cur.url)); |
|
|
} |
|
|
} |
|
|
return $root; |
|
|
} |
|
|
|
|
|
|
|
|
var $result = $('.js-search-result'), $resultItems; |
|
|
var lastActiveIndex, activeIndex; |
|
|
|
|
|
function clear() { |
|
|
$result.html(null); |
|
|
$resultItems = $('.search-result__item'); activeIndex = 0; |
|
|
} |
|
|
function onInputNotEmpty(val) { |
|
|
$result.html(render(searchByQuery(val))); |
|
|
$resultItems = $('.search-result__item'); activeIndex = 0; |
|
|
$resultItems.eq(0).addClass('active'); |
|
|
} |
|
|
|
|
|
search.clear = clear; |
|
|
search.onInputNotEmpty = onInputNotEmpty; |
|
|
|
|
|
function updateResultItems() { |
|
|
lastActiveIndex >= 0 && $resultItems.eq(lastActiveIndex).removeClass('active'); |
|
|
activeIndex >= 0 && $resultItems.eq(activeIndex).addClass('active'); |
|
|
} |
|
|
|
|
|
function moveActiveIndex(direction) { |
|
|
var itemsCount = $resultItems ? $resultItems.length : 0; |
|
|
if (itemsCount > 1) { |
|
|
lastActiveIndex = activeIndex; |
|
|
if (direction === 'up') { |
|
|
activeIndex = (activeIndex - 1 + itemsCount) % itemsCount; |
|
|
} else if (direction === 'down') { |
|
|
activeIndex = (activeIndex + 1 + itemsCount) % itemsCount; |
|
|
} |
|
|
updateResultItems(); |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
|
$(window).on('keyup', function(e) { |
|
|
var modalVisible = search.getModalVisible && search.getModalVisible(); |
|
|
if (modalVisible) { |
|
|
if (e.which === 38) { |
|
|
modalVisible && moveActiveIndex('up'); |
|
|
} else if (e.which === 40) { |
|
|
modalVisible && moveActiveIndex('down'); |
|
|
} else if (e.which === 13) { |
|
|
modalVisible && $resultItems && activeIndex >= 0 && $resultItems.eq(activeIndex).children('a')[0].click(); |
|
|
} |
|
|
} |
|
|
}); |
|
|
|
|
|
$result.on('mouseover', '.search-result__item > a', function() { |
|
|
var itemIndex = $(this).parent().data('index'); |
|
|
itemIndex >= 0 && (lastActiveIndex = activeIndex, activeIndex = itemIndex, updateResultItems()); |
|
|
}); |
|
|
}); |
|
|
</script> |
|
|
</div></div> |
|
|
|
|
|
|
|
|
<script>(function() { |
|
|
var SOURCES = window.TEXT_VARIABLES.sources; |
|
|
window.Lazyload.js(SOURCES.jquery, function() { |
|
|
function scrollToAnchor(anchor, duration, callback) { |
|
|
var $root = this; |
|
|
$root.animate({ scrollTop: $(anchor).position().top }, duration, function() { |
|
|
window.history.replaceState(null, '', window.location.href.split('#')[0] + anchor); |
|
|
callback && callback(); |
|
|
}); |
|
|
} |
|
|
$.fn.scrollToAnchor = scrollToAnchor; |
|
|
}); |
|
|
})(); |
|
|
(function() { |
|
|
var SOURCES = window.TEXT_VARIABLES.sources; |
|
|
window.Lazyload.js(SOURCES.jquery, function() { |
|
|
function affix(options) { |
|
|
var $root = this, $window = $(window), $scrollTarget, $scroll, |
|
|
offsetBottom = 0, scrollTarget = window, scroll = window.document, disabled = false, isOverallScroller = true, |
|
|
rootTop, rootLeft, rootHeight, scrollBottom, rootBottomTop, |
|
|
hasInit = false, curState; |
|
|
|
|
|
function setOptions(options) { |
|
|
var _options = options || {}; |
|
|
_options.offsetBottom && (offsetBottom = _options.offsetBottom); |
|
|
_options.scrollTarget && (scrollTarget = _options.scrollTarget); |
|
|
_options.scroll && (scroll = _options.scroll); |
|
|
_options.disabled !== undefined && (disabled = _options.disabled); |
|
|
$scrollTarget = $(scrollTarget); |
|
|
isOverallScroller = window.isOverallScroller($scrollTarget[0]); |
|
|
$scroll = $(scroll); |
|
|
} |
|
|
function preCalc() { |
|
|
top(); |
|
|
rootHeight = $root.outerHeight(); |
|
|
rootTop = $root.offset().top + (isOverallScroller ? 0 : $scrollTarget.scrollTop()); |
|
|
rootLeft = $root.offset().left; |
|
|
} |
|
|
function calc(needPreCalc) { |
|
|
needPreCalc && preCalc(); |
|
|
scrollBottom = $scroll.outerHeight() - offsetBottom - rootHeight; |
|
|
rootBottomTop = scrollBottom - rootTop; |
|
|
} |
|
|
function top() { |
|
|
if (curState !== 'top') { |
|
|
$root.removeClass('fixed').css({ |
|
|
left: 0, |
|
|
top: 0 |
|
|
}); |
|
|
curState = 'top'; |
|
|
} |
|
|
} |
|
|
function fixed() { |
|
|
if (curState !== 'fixed') { |
|
|
$root.addClass('fixed').css({ |
|
|
left: rootLeft + 'px', |
|
|
top: 0 |
|
|
}); |
|
|
curState = 'fixed'; |
|
|
} |
|
|
} |
|
|
function bottom() { |
|
|
if (curState !== 'bottom') { |
|
|
$root.removeClass('fixed').css({ |
|
|
left: 0, |
|
|
top: rootBottomTop + 'px' |
|
|
}); |
|
|
curState = 'bottom'; |
|
|
} |
|
|
} |
|
|
function setState() { |
|
|
var scrollTop = $scrollTarget.scrollTop(); |
|
|
if (scrollTop >= rootTop && scrollTop <= scrollBottom) { |
|
|
fixed(); |
|
|
} else if (scrollTop < rootTop) { |
|
|
top(); |
|
|
} else { |
|
|
bottom(); |
|
|
} |
|
|
} |
|
|
function init() { |
|
|
if(!hasInit) { |
|
|
var interval, timeout; |
|
|
calc(true); setState(); |
|
|
|
|
|
interval = setInterval(function() { |
|
|
calc(); |
|
|
}, 100); |
|
|
timeout = setTimeout(function() { |
|
|
clearInterval(interval); |
|
|
}, 45000); |
|
|
window.pageLoad.then(function() { |
|
|
setTimeout(function() { |
|
|
clearInterval(interval); |
|
|
clearTimeout(timeout); |
|
|
}, 3000); |
|
|
}); |
|
|
$scrollTarget.on('scroll', function() { |
|
|
disabled || setState(); |
|
|
}); |
|
|
$window.on('resize', function() { |
|
|
disabled || (calc(true), setState()); |
|
|
}); |
|
|
hasInit = true; |
|
|
} |
|
|
} |
|
|
|
|
|
setOptions(options); |
|
|
if (!disabled) { |
|
|
init(); |
|
|
} |
|
|
$window.on('resize', window.throttle(function() { |
|
|
init(); |
|
|
}, 200)); |
|
|
return { |
|
|
setOptions: setOptions, |
|
|
refresh: function() { |
|
|
calc(true, { animation: false }); setState(); |
|
|
} |
|
|
}; |
|
|
} |
|
|
$.fn.affix = affix; |
|
|
}); |
|
|
})(); |
|
|
(function() { |
|
|
var SOURCES = window.TEXT_VARIABLES.sources; |
|
|
window.Lazyload.js(SOURCES.jquery, function() { |
|
|
function toc(options) { |
|
|
var $root = this, $window = $(window), $scrollTarget, $scroller, $tocUl = $('<ul class="toc toc--ellipsis"></ul>'), $tocLi, $headings, $activeLast, $activeCur, |
|
|
selectors = 'h1,h2,h3', container = 'body', scrollTarget = window, scroller = 'html, body', disabled = false, |
|
|
headingsPos, scrolling = false, hasRendered = false, hasInit = false; |
|
|
|
|
|
function setOptions(options) { |
|
|
var _options = options || {}; |
|
|
_options.selectors && (selectors = _options.selectors); |
|
|
_options.container && (container = _options.container); |
|
|
_options.scrollTarget && (scrollTarget = _options.scrollTarget); |
|
|
_options.scroller && (scroller = _options.scroller); |
|
|
_options.disabled !== undefined && (disabled = _options.disabled); |
|
|
$headings = $(container).find(selectors).filter('[id]'); |
|
|
$scrollTarget = $(scrollTarget); |
|
|
$scroller = $(scroller); |
|
|
} |
|
|
function calc() { |
|
|
headingsPos = []; |
|
|
$headings.each(function() { |
|
|
headingsPos.push(Math.floor($(this).position().top)); |
|
|
}); |
|
|
} |
|
|
function setState(element, disabled) { |
|
|
var scrollTop = $scrollTarget.scrollTop(), i; |
|
|
if (disabled || !headingsPos || headingsPos.length < 1) { return; } |
|
|
if (element) { |
|
|
$activeCur = element; |
|
|
} else { |
|
|
for (i = 0; i < headingsPos.length; i++) { |
|
|
if (scrollTop >= headingsPos[i]) { |
|
|
$activeCur = $tocLi.eq(i); |
|
|
} else { |
|
|
$activeCur || ($activeCur = $tocLi.eq(i)); |
|
|
break; |
|
|
} |
|
|
} |
|
|
} |
|
|
$activeLast && $activeLast.removeClass('active'); |
|
|
($activeLast = $activeCur).addClass('active'); |
|
|
} |
|
|
function render() { |
|
|
if(!hasRendered) { |
|
|
$root.append($tocUl); |
|
|
$headings.each(function() { |
|
|
var $this = $(this); |
|
|
$tocUl.append($('<li></li>').addClass('toc-' + $this.prop('tagName').toLowerCase()) |
|
|
.append($('<a></a>').text($this.text()).attr('href', '#' + $this.prop('id')))); |
|
|
}); |
|
|
$tocLi = $tocUl.children('li'); |
|
|
$tocUl.on('click', 'a', function(e) { |
|
|
e.preventDefault(); |
|
|
var $this = $(this); |
|
|
scrolling = true; |
|
|
setState($this.parent()); |
|
|
$scroller.scrollToAnchor($this.attr('href'), 400, function() { |
|
|
scrolling = false; |
|
|
}); |
|
|
}); |
|
|
} |
|
|
hasRendered = true; |
|
|
} |
|
|
function init() { |
|
|
var interval, timeout; |
|
|
if(!hasInit) { |
|
|
render(); calc(); setState(null, scrolling); |
|
|
|
|
|
interval = setInterval(function() { |
|
|
calc(); |
|
|
}, 100); |
|
|
timeout = setTimeout(function() { |
|
|
clearInterval(interval); |
|
|
}, 45000); |
|
|
window.pageLoad.then(function() { |
|
|
setTimeout(function() { |
|
|
clearInterval(interval); |
|
|
clearTimeout(timeout); |
|
|
}, 3000); |
|
|
}); |
|
|
$scrollTarget.on('scroll', function() { |
|
|
disabled || setState(null, scrolling); |
|
|
}); |
|
|
$window.on('resize', window.throttle(function() { |
|
|
if (!disabled) { |
|
|
render(); calc(); setState(null, scrolling); |
|
|
} |
|
|
}, 100)); |
|
|
} |
|
|
hasInit = true; |
|
|
} |
|
|
|
|
|
setOptions(options); |
|
|
if (!disabled) { |
|
|
init(); |
|
|
} |
|
|
$window.on('resize', window.throttle(function() { |
|
|
init(); |
|
|
}, 200)); |
|
|
return { |
|
|
setOptions: setOptions |
|
|
}; |
|
|
} |
|
|
$.fn.toc = toc; |
|
|
}); |
|
|
})(); |
|
|
|
|
|
|
|
|
|
|
|
</script><script type="text/x-mathjax-config"> |
|
|
var _config = { tex2jax: { |
|
|
inlineMath: [['$','$'], ['\\(','\\)']] |
|
|
}};MathJax.Hub.Config(_config); |
|
|
</script> |
|
|
<script type="text/javascript" src="https://cdn.bootcss.com/mathjax/2.7.4/MathJax.js?config=TeX-MML-AM_CHTML" async></script> |
|
|
|
|
|
</div> |
|
|
<script>(function () { |
|
|
var $root = document.getElementsByClassName('root')[0]; |
|
|
if (window.hasEvent('touchstart')) { |
|
|
$root.dataset.isTouch = true; |
|
|
document.addEventListener('touchstart', function(){}, false); |
|
|
} |
|
|
})(); |
|
|
</script> |
|
|
</body> |
|
|
</html> |
|
|
|
|
|
|
