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null : term; - if (word) { - // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names - word = word - .replace(/^[^a-zA-Z0-9@!]+/, "") - .replace(/[^a-zA-Z0-9@!]+$/, ""); - - word = word.toLowerCase(); - } - - return word ?? null; - }, - // add . as a separator, because otherwise "title": "Documenter.Anchors.add!", would not - // find anything if searching for "add!", only for the entire qualification - tokenize: (string) => string.split(/[\s\-\.]+/), - // options which will be applied during the search - searchOptions: { - prefix: true, - boost: { title: 100 }, - fuzzy: 2, - }, - }); - - index.addAll(data); - - /** - * Used to map characters to HTML entities. - * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts - */ - const htmlEscapes = { - "&": "&", - "<": "<", - ">": ">", - '"': """, - "'": "'", - }; - - /** - * Used to match HTML entities and HTML characters. - * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts - */ - const reUnescapedHtml = /[&<>"']/g; - const reHasUnescapedHtml = RegExp(reUnescapedHtml.source); - - /** - * Escape function from lodash - * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts - */ - function escape(string) { - return string && reHasUnescapedHtml.test(string) - ? 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- ${display_link} -
-
- ${search_divider} - `; - - return result_div; - } - - self.onmessage = function (e) { - let query = e.data; - let results = index.search(query, { - filter: (result) => { - // Only return relevant results - return result.score >= 1; - }, - combineWith: "AND", - }); - - // Pre-filter to deduplicate and limit to 200 per category to the extent - // possible without knowing what the filters are. - let filtered_results = []; - let counts = {}; - for (let filter of filters) { - counts[filter] = 0; - } - let present = {}; - - for (let result of results) { - cat = result.category; - cnt = counts[cat]; - if (cnt < 200) { - id = cat + "---" + result.location; - if (present[id]) { - continue; - } - present[id] = true; - filtered_results.push({ - location: result.location, - category: cat, - div: make_search_result(result, query), - }); - } - } - - postMessage(filtered_results); - }; -} - -// `worker = Threads.@spawn worker_function(documenterSearchIndex)`, but in JavaScript! -const filters = [ - ...new Set(documenterSearchIndex["docs"].map((x) => x.category)), -]; -const worker_str = - "(" + - worker_function.toString() + - ")(" + - JSON.stringify(documenterSearchIndex["docs"]) + - "," + - JSON.stringify(documenterBaseURL) + - "," + - JSON.stringify(filters) + - ")"; -const worker_blob = new Blob([worker_str], { type: "text/javascript" }); -const worker = new Worker(URL.createObjectURL(worker_blob)); - -/////// SEARCH MAIN /////// - -// Whether the worker is currently handling a search. This is a boolean -// as the worker only ever handles 1 or 0 searches at a time. -var worker_is_running = false; - -// The last search text that was sent to the worker. This is used to determine -// if the worker should be launched again when it reports back results. -var last_search_text = ""; - -// The results of the last search. This, in combination with the state of the filters -// in the DOM, is used compute the results to display on calls to update_search. -var unfiltered_results = []; - -// Which filter is currently selected -var selected_filter = ""; - -$(document).on("input", ".documenter-search-input", function (event) { - if (!worker_is_running) { - launch_search(); - } -}); - -function launch_search() { - worker_is_running = true; - last_search_text = $(".documenter-search-input").val(); - worker.postMessage(last_search_text); -} - -worker.onmessage = function (e) { - if (last_search_text !== $(".documenter-search-input").val()) { - launch_search(); - } else { - worker_is_running = false; - } - - unfiltered_results = e.data; - update_search(); -}; - -$(document).on("click", ".search-filter", function () { - if ($(this).hasClass("search-filter-selected")) { - selected_filter = ""; - } else { - selected_filter = $(this).text().toLowerCase(); - } - - // This updates search results and toggles classes for UI: - update_search(); -}); - -/** - * Make/Update the search component - */ -function update_search() { - let querystring = $(".documenter-search-input").val(); - - if (querystring.trim()) { - if (selected_filter == "") { - results = unfiltered_results; - } else { - results = unfiltered_results.filter((result) => { - return selected_filter == result.category.toLowerCase(); - }); - } - - let search_result_container = ``; - let modal_filters = make_modal_body_filters(); - let search_divider = `
`; - - if (results.length) { - let links = []; - let count = 0; - let search_results = ""; - - for (var i = 0, n = results.length; i < n && count < 200; ++i) { - let result = results[i]; - if (result.location && !links.includes(result.location)) { - search_results += result.div; - count++; - links.push(result.location); - } - } - - if (count == 1) { - count_str = "1 result"; - } else if (count == 200) { - count_str = "200+ results"; - } else { - count_str = count + " results"; - } - let result_count = `
${count_str}
`; - - search_result_container = ` -
- ${modal_filters} - ${search_divider} - ${result_count} -
- ${search_results} -
-
- `; - } else { - search_result_container = ` -
- ${modal_filters} - ${search_divider} -
0 result(s)
-
-
No result found!
- `; - } - - if ($(".search-modal-card-body").hasClass("is-justify-content-center")) { - $(".search-modal-card-body").removeClass("is-justify-content-center"); - } - - $(".search-modal-card-body").html(search_result_container); - } else { - if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { - $(".search-modal-card-body").addClass("is-justify-content-center"); - } - - $(".search-modal-card-body").html(` -
Type something to get started!
- `); - } -} - -/** - * Make the modal filter html - * - * @returns string - */ -function make_modal_body_filters() { - let str = filters - .map((val) => { - if (selected_filter == val.toLowerCase()) { - return `${val}`; - } else { - return `${val}`; - } - }) - .join(""); - - return ` -
- Filters: - ${str} -
`; -} - -}) -//////////////////////////////////////////////////////////////////////////////// -require(['jquery'], function($) { - -// Modal settings dialog -$(document).ready(function () { - var settings = $("#documenter-settings"); - $("#documenter-settings-button").click(function () { - settings.toggleClass("is-active"); - }); - // Close the dialog if X is clicked - $("#documenter-settings button.delete").click(function () { - settings.removeClass("is-active"); - }); - // Close dialog if ESC is pressed - $(document).keyup(function (e) { - if (e.keyCode == 27) settings.removeClass("is-active"); - }); -}); - -}) -//////////////////////////////////////////////////////////////////////////////// -require(['jquery'], function($) { - -$(document).ready(function () { - let search_modal_header = ` - - `; - - let initial_search_body = ` -
Type something to get started!
- `; - - let search_modal_footer = ` -
- - Ctrl + - / to search - - esc to close -
- `; - - $(document.body).append( - ` - - ` - ); - - document.querySelector(".docs-search-query").addEventListener("click", () => { - openModal(); - }); - - document - .querySelector(".close-search-modal") - .addEventListener("click", () => { - closeModal(); - }); - - $(document).on("click", ".search-result-link", function () { - closeModal(); - }); - - document.addEventListener("keydown", (event) => { - if ((event.ctrlKey || event.metaKey) && event.key === "/") { - openModal(); - } else if (event.key === "Escape") { - closeModal(); - } - - return false; - }); - - // Functions to open and close a modal - function openModal() { - let searchModal = document.querySelector("#search-modal"); - - searchModal.classList.add("is-active"); - document.querySelector(".documenter-search-input").focus(); - } - - function closeModal() { - let searchModal = document.querySelector("#search-modal"); - let initial_search_body = ` -
Type something to get started!
- `; - - searchModal.classList.remove("is-active"); - document.querySelector(".documenter-search-input").blur(); - - if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { - $(".search-modal-card-body").addClass("is-justify-content-center"); - } - - $(".documenter-search-input").val(""); - $(".search-modal-card-body").html(initial_search_body); - } - - document - .querySelector("#search-modal .modal-background") - .addEventListener("click", () => { - closeModal(); - }); -}); - -}) -//////////////////////////////////////////////////////////////////////////////// -require(['jquery'], function($) { - -// Manages the showing and hiding of the sidebar. -$(document).ready(function () { - var sidebar = $("#documenter > .docs-sidebar"); - var sidebar_button = $("#documenter-sidebar-button"); - sidebar_button.click(function (ev) { - ev.preventDefault(); - sidebar.toggleClass("visible"); - if (sidebar.hasClass("visible")) { - // Makes sure that the current menu item is visible in the sidebar. - $("#documenter .docs-menu a.is-active").focus(); - } - }); - $("#documenter > .docs-main").bind("click", function (ev) { - if ($(ev.target).is(sidebar_button)) { - return; - } - if (sidebar.hasClass("visible")) { - sidebar.removeClass("visible"); - } - }); -}); - -// Resizes the package name / sitename in the sidebar if it is too wide. -// Inspired by: https://github.com/davatron5000/FitText.js -$(document).ready(function () { - e = $("#documenter .docs-autofit"); - function resize() { - var L = parseInt(e.css("max-width"), 10); - var L0 = e.width(); - if (L0 > L) { - var h0 = parseInt(e.css("font-size"), 10); - e.css("font-size", (L * h0) / L0); - // TODO: make sure it survives resizes? - } - } - // call once and then register events - resize(); - $(window).resize(resize); - $(window).on("orientationchange", resize); -}); - -// Scroll the navigation bar to the currently selected menu item -$(document).ready(function () { - var sidebar = $("#documenter .docs-menu").get(0); - var active = $("#documenter .docs-menu .is-active").get(0); - if (typeof active !== "undefined") { - sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; - } -}); - -}) -//////////////////////////////////////////////////////////////////////////////// -require(['jquery'], function($) { - -// Theme picker setup -$(document).ready(function () { - // onchange callback - $("#documenter-themepicker").change(function themepick_callback(ev) { - var themename = $("#documenter-themepicker option:selected").attr("value"); - if (themename === "auto") { - // set_theme(window.matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light'); - window.localStorage.removeItem("documenter-theme"); - } else { - // set_theme(themename); - window.localStorage.setItem("documenter-theme", themename); - } - // We re-use the global function from themeswap.js to actually do the swapping. - set_theme_from_local_storage(); - }); - - // Make sure that the themepicker displays the correct theme when the theme is retrieved - // from localStorage - if (typeof window.localStorage !== "undefined") { - var theme = window.localStorage.getItem("documenter-theme"); - if (theme !== null) { - $("#documenter-themepicker option").each(function (i, e) { - e.selected = e.value === theme; - }); - } - } -}); - -}) -//////////////////////////////////////////////////////////////////////////////// -require(['jquery'], function($) { - -// update the version selector with info from the siteinfo.js and ../versions.js files -$(document).ready(function () { - // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the - // siteinfo.js file, we just return immediately and not display the version selector. - if ( - typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === "boolean" && - DOCUMENTER_VERSION_SELECTOR_DISABLED - ) { - return; - } - - var version_selector = $("#documenter .docs-version-selector"); - var version_selector_select = $("#documenter .docs-version-selector select"); - - version_selector_select.change(function (x) { - target_href = version_selector_select - .children("option:selected") - .get(0).value; - window.location.href = target_href; - }); - - // add the current version to the selector based on siteinfo.js, but only if the selector is empty - if ( - typeof DOCUMENTER_CURRENT_VERSION !== "undefined" && - $("#version-selector > option").length == 0 - ) { - var option = $( - "" - ); - version_selector_select.append(option); - } - - if (typeof DOC_VERSIONS !== "undefined") { - var existing_versions = version_selector_select.children("option"); - var existing_versions_texts = existing_versions.map(function (i, x) { - return x.text; - }); - DOC_VERSIONS.forEach(function (each) { - var version_url = documenterBaseURL + "/../" + each + "/"; - var existing_id = $.inArray(each, existing_versions_texts); - // if not already in the version selector, add it as a new option, - // otherwise update the old option with the URL and enable it - if (existing_id == -1) { - var option = $( - "" - ); - version_selector_select.append(option); - } else { - var option = existing_versions[existing_id]; - option.value = version_url; - option.disabled = false; - } - }); - } - - // only show the version selector if the selector has been populated - if (version_selector_select.children("option").length > 0) { - version_selector.toggleClass("visible"); - } -}); - -}) diff --git a/dev/assets/examples.md.qH_hEGoE.js b/dev/assets/examples.md.qH_hEGoE.js new file mode 100644 index 0000000..1120f02 --- /dev/null +++ b/dev/assets/examples.md.qH_hEGoE.js @@ -0,0 +1 @@ +import{_ as e,c as s,o as t,a7 as i}from"./chunks/framework.CdnWR3-W.js";const m=JSON.parse('{"title":"Jet Reconstruction Examples","description":"","frontmatter":{},"headers":[],"relativePath":"examples.md","filePath":"examples.md","lastUpdated":null}'),a={name:"examples.md"},n=i('

Jet Reconstruction Examples

The Jet Reconstruction package has a number of example files that show how to usage.

Note: because of extra dependencies in these scripts, one must use the Project.toml file in the examples directory.

jetreco.jl

This is a basic jet reconstruction example that shows how to call the package to perform a jet reconstruction, with different algorithms and (optionally) strategy, producing exclusive and inclusive jet selections.

sh
julia --project=. examples/jetreco.jl --maxevents=100 --strategy=N2Plain test/data/events.hepmc3\n...\njulia --project=. examples/jetreco.jl --maxevents=100 --strategy=N2Tiled test/data/events.hepmc3\n...

There are options to explicitly set the algorithm (use --help to see these).

instrumented-jetreco.jl

This is a more sophisticated example that allows performance measurements to be made of the reconstruction, as well as profiling (flamegraphs and memory profiling). Use the --help option to see usage. e.g., to extract timing performance for the AntiKt algorithm using the tiled strategy:

sh
julia --project instrumented-jetreco.jl -S N2Tiled -A AntiKt --nsamples 100 ../test/data/events.hepmc3

visualise-jets.jl

This script will produce a PNG/PDF showing the results of a jet reconstruction. This is a 3D plot where all the initial energy deposits are visualised, with colours that indicate in which final cluster the deposit ended up in.

visualise-jets.ipynb

Similar to visualise-jets.jl this notebook will produce a visualisation of jet reconstruction in the browser. This is a 3D plot where all the initial energy deposits are visualised, with colours that indicate in which final cluster the deposit ended up in.

animate-reconstruction.jl

Performs jet reconstruction and then produces and animation of the process, showing how the jets merge from their different constituents.

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0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",null,"p"),t("mi",null,"p")])],-1),T={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},k={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.025ex"},xmlns:"http://www.w3.org/2000/svg",width:"4.973ex",height:"1.779ex",role:"img",focusable:"false",viewBox:"0 -775.2 2198.3 786.2","aria-hidden":"true"},g=a('',1),m=[g],u=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("msup",null,[t("mi",null,"e"),t("mo",null,"+")]),t("msup",null,[t("mi",null,"e"),t("mo",null,"−")])])],-1),E=a('

Algorithms

Algorithms used are based on the C++ FastJet package (https://fastjet.fr, hep-ph/0512210, arXiv:1111.6097), reimplemented natively in Julia.

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Reconstruction Interface

The main interface for reconstruction is jet_reconstruct, called as, e.g.,

julia
jet_reconstruct(particles; p = -1, R = 1.0)

Where particles is a collection of 4-vector objects to reconstruct.

The object returned is a ClusterSequence, which internally tracks all merge steps.

Strategy

Three strategies are available for the different algorithms:

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Generally one can use the jet_reconstruct interface, shown above, as the Best strategy safely as the overhead is extremely low. That interface supports a strategy option to switch to a different option.

Another option, if one wishes to use a specific strategy, is to call that strategy's interface directly, e.g.,

julia
# For N2Plain strategy called directly
+plain_jet_reconstruct(particles::Vector{T}; p = -1, R = 1.0, recombine = +)

Note that there is no strategy option in these interfaces.

Inclusive and Exclusive Selections

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julia
sorted_jets = sort!(inclusive_jets(cs::ClusterSequence; ptmin=5.0), 
+  by=JetReconstruction.energy, rev=true)

Plotting and Animation

To visualise the clustered jets as a 3d bar plot (see illustration above) we now use Makie.jl. See the jetsplot function in ext/JetVisualisation.jl and its documentation for more. There are two worked examples in the examples directory.

The plotting code is a package extension and will load if the one of the Makie modules is loaded in the environment.

The animatereco function will animate the reconstruction sequence, given a ClusterSequence object. See the function documentation for the many options that can be customised.

Serialisation

The package also provides methods such as loadjets, loadjets!, and savejets that one can use to save and load objects on/from disk easily in a very flexible format. See documentation for more.

Reference

Although it has been developed further since the CHEP2023 conference, the CHEP conference proceedings, 10.1051/epjconf/202429505017, should be cited if you use this package:

bibtex
@article{refId0,
+    author = {{Stewart, Graeme Andrew} and {Gras, Philippe} and {Hegner, Benedikt} and {Krasnopolski, Atell}},
+    doi = {10.1051/epjconf/202429505017},
+    journal = {EPJ Web of Conf.},
+    pages = {05017},
+    title = {Polyglot Jet Finding},
+    url = {https://doi.org/10.1051/epjconf/202429505017},
+    volume = 295,
+    year = 2024,
+    eprint={2309.17309},
+    archivePrefix={arXiv},
+    primaryClass={hep-ex}
+}

The original paper on arXiv is:

bibtex
@misc{stewart2023polyglot,
+      title={Polyglot Jet Finding}, 
+      author={Graeme Andrew Stewart and Philippe Gras and Benedikt Hegner and Atell Krasnopolski},
+      year={2023},
+      eprint={2309.17309},
+      archivePrefix={arXiv},
+      primaryClass={hep-ex}
+}

Code in this package is authored by:

  • Atell Krasnopolski <delta_atell@protonmail.com>

  • Graeme A Stewart <graeme.andrew.stewart@cern.ch>

  • Philippe Gras <philippe.gras@cern.ch>

and is Copyright 2022-2024 The Authors, CERN.

The code is under the MIT License.

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Documentation for JetReconstruction.jl's internal methods and types.

N.B. no guarantee is made of stability of these interfaces or types.

Index

Public Interface

# Base.:+Method.
julia
+(j1::PseudoJet, j2::PseudoJet)

Addition operator for PseudoJet objects.

Arguments

  • j1::PseudoJet: The first PseudoJet object.

  • j2::PseudoJet: The second PseudoJet object.

Returns

A new PseudoJet object with the sum of the momenta and energy of j1 and j2.

source


# Base.copyMethod.
julia
copy(j::TiledJet)

Create a copy of a TiledJet object.

Arguments

  • j::TiledJet: The TiledJet object to be copied.

Returns

A new TiledJet object with the same attributes as the input object.

source


# Base.iterateFunction.
julia
Base.iterate(t::neighbour_tiles, state=1)

Iterate over the neighbour_tiles object, returning all the neighbour tiles for a given Cartesian tile index.

source


# Base.iterateFunction.
julia
Base.iterate(t::rightmost_tiles, state=1)

Iterate over the rightmost_tiles object, returning all the rightmost tiles for a given Cartesian tile index.

source


# Base.iterateMethod.
julia
Base.iterate(tj::TiledJet)

Iterate over a TiledJet object's linked list, walking over all jets until the end (then the next jet is invalid).

Arguments

  • tj::TiledJet: The TiledJet object to start to iterate over.

source


# Base.showMethod.
julia
show(io::IO, jet::PseudoJet)

Print a PseudoJet object to the specified IO stream.

Arguments

  • io::IO: The IO stream to which the information will be printed.

  • jet::PseudoJet: The PseudoJet object whose information will be printed.

source


# Base.tryparseMethod.
julia
Base.tryparse(E::Type{<:Enum}, str::String)

Parser that converts a string to an enum value if it exists, otherwise returns nothing.

source


# JetReconstruction.CosThetaMethod.
julia
CosTheta(p::PseudoJet)

Compute the cosine of the angle between the momentum vector p and the z-axis.

Arguments

  • p::PseudoJet: The PseudoJet object representing the momentum vector.

Returns

  • The cosine of the angle between p and the z-axis.

source


# JetReconstruction._ensure_valid_rap_phiMethod.
julia
_ensure_valid_rap_phi(p::PseudoJet)

Ensure that the rapidity and azimuthal angle of the PseudoJet p are valid. If the azimuthal angle is invalid (used as a proxy for both variables), they are set to a valid value using _set_rap_phi!.

Arguments

  • p::PseudoJet: The PseudoJet object to ensure valid rapidity and azimuthal angle for.

source


# JetReconstruction._plain_jet_reconstructMethod.
julia
_plain_jet_reconstruct(; particles::Vector{PseudoJet}, p = -1, R = 1.0, recombine = +)

This is the internal implementation of jet reconstruction using the plain algorithm. It takes a vector of particles representing the input particles and reconstructs jets based on the specified parameters. Here the particles must be of type PseudoJet.

Users of the package should use the plain_jet_reconstruct function as their entry point to this jet reconstruction.

The power value maps to specific pp jet reconstruction algorithms: -1 = AntiKt, 0 = Cambridge/Aachen, 1 = Inclusive Kt.

Arguments

  • particles: A vector of PseudoJet objects representing the input particles.

  • p=-1: The power to which the transverse momentum (pt) of each particle is raised.

  • R=1.0: The jet radius parameter.

  • recombine: The recombination function used to merge two jets. Default is + (additive recombination).

Returns

  • clusterseq: The resulting ClusterSequence object representing the reconstructed jets.

source


# JetReconstruction._set_rap_phi!Method.

_set_rap_phi!(p::PseudoJet)

Set the rapidity and azimuthal angle of the PseudoJet p.

Arguments

  • p::PseudoJet: The PseudoJet object for which to set the rapidity and azimuthal angle.

Description

This function calculates and sets the rapidity and azimuthal angle of the PseudoJet p based on its momentum components. The rapidity is calculated in a way that is insensitive to roundoff errors when the momentum components are large. If the PseudoJet represents a point with infinite rapidity, a large number is assigned to the rapidity in order to lift the degeneracy between different zero-pt momenta.

Note - the ϕ angle is calculated in the range [0, 2π).

source


# JetReconstruction._tj_diJMethod.
julia
_tj_diJ(jet)

Compute the dij metric value for a given jet.

Arguments

  • jet: The input jet.

Returns

  • The dij value for the jet.

Example

source


# JetReconstruction._tj_distMethod.
julia
_tj_dist(jetA, jetB)

Compute the geometric distance in the (y, ϕ)-plane between two jets in the TiledAlgoLL module.

Arguments

  • jetA: The first jet.

  • jetB: The second jet.

Returns

The squared distance between jetA and jetB.

Examples

source


# JetReconstruction.add_step_to_history!Method.
julia
add_step_to_history!(clusterseq::ClusterSequence, parent1, parent2, jetp_index, dij)

Add a new jet's history into the recombination sequence.

Arguments:

  • clusterseq::ClusterSequence: The cluster sequence object.

  • parent1: The index of the first parent.

  • parent2: The index of the second parent.

  • jetp_index: The index of the jet.

  • dij: The dij value.

This function adds a new HistoryElement to the history vector of the clusterseq object. The HistoryElement contains information about the parents, child, jet index, dij value, and the maximum dij value so far. It also updates the child index of the parent elements.

If the parent1 or parent2 have already been recombined, an InternalError is thrown. The jetp_index is used to update the _cluster_hist_index of the corresponding PseudoJet object.

source


# JetReconstruction.add_untagged_neighbours_to_tile_unionMethod.
julia
add_untagged_neighbours_to_tile_union(center_index, tile_union, n_near_tiles, tiling)

Adds to the vector tile_union the tiles that are in the neighbourhood of the specified center_index, including itself and whose tagged status are false - start adding from position n_near_tiles-1, and increase n_near_tiles. When a neighbour is added its tagged status is set to true.

Arguments

  • center_index: The index of the center tile.

  • tile_union: An array to store the indices of neighbouring tiles.

  • n_near_tiles: The number of neighbouring tiles.

  • tiling: The tiling object containing the tile tags.

Returns

The updated number of near tiles.

source


# JetReconstruction.detach!Method.
julia
detach!(jet::TiledJet)

Detach a TiledJet from its linked list by updating the previous and next pointers.

Arguments

  • jet::TiledJet: The TiledJet object to detach.

source


# JetReconstruction.determine_rapidity_extentMethod.
julia
determine_rapidity_extent(eta::Vector{T}) where T <: AbstractFloat

Calculate the minimum and maximum rapidities based on the input vector eta. The function determines the rapidity extent by binning the multiplicities as a function of rapidity and finding the minimum and maximum rapidities such that the edge bins contain a certain fraction (~1/4) of the busiest bin and a minimum number of particles.

This is the heuristic which is used by FastJet (inline comments are from FastJet).

Arguments

  • eta::Vector{T}: A vector of rapidity values.

Returns

  • minrap::T: The minimum rapidity value.

  • maxrap::T: The maximum rapidity value.

source


# JetReconstruction.dijMethod.
julia
dij(i, kt2_array, nn, nndist)

Compute the dij value for a given index i to its nearest neighbor. The nearest neighbor is determined from nn[i], and the metric distance to the nearest neighbor is given by the distance nndist[i] applying the lower of the kt2_array values for the two particles.ßß

Arguments

  • i: The index of the element.

  • kt2_array: An array of kt2 values.

  • nn: An array of nearest neighbors.

  • nndist: An array of nearest neighbor distances.

Returns

  • The computed dij value.

source


# JetReconstruction.distMethod.
julia
dist(i, j, rapidity_array, phi_array)

Compute the distance between points in a 2D space defined by rapidity and phi coordinates.

Arguments

  • i::Int: Index of the first point to consider (indexes into rapidity_array and phi_array).

  • j::Int: Index of the second point to consider (indexes into rapidity_array and phi_array).

  • rapidity_array::Vector{Float64}: Array of rapidity coordinates.

  • phi_array::Vector{Float64}: Array of phi coordinates.

Returns

  • distance::Float64: The distance between the two points.

source


# JetReconstruction.do_iB_recombination_step!Method.
julia
do_iB_recombination_step!(clusterseq::ClusterSequence, jet_i, diB)

Bookkeeping for recombining a jet with the beam (i.e., finalising the jet) by adding a step to the history of the cluster sequence.

Arguments

  • clusterseq::ClusterSequence: The cluster sequence object.

  • jet_i: The index of the jet.

  • diB: The diB value.

source


# JetReconstruction.do_ij_recombination_step!Function.
julia
do_ij_recombination_step!(clusterseq::ClusterSequence, jet_i, jet_j, dij, recombine=+)

Perform the bookkeeping associated with the step of recombining jet_i and jet_j (assuming a distance dij).

Arguments

  • clusterseq::ClusterSequence: The cluster sequence object.

  • jet_i: The index of the first jet to be recombined.

  • jet_j: The index of the second jet to be recombined.

  • dij: The distance between the two jets.

  • recombine=+: The recombination function to be used. Default is addition.

Returns

  • newjet_k: The index of the newly created jet.

Description

This function performs the i-j recombination step in the cluster sequence. It creates a new jet by recombining the first two jets using the specified recombination function. The new jet is then added to the cluster sequence. The function also updates the indices and history information of the new jet and sorts out the history.

source


# JetReconstruction.energyMethod.
julia
energy(p::PseudoJet)

Return the energy of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object.

Returns

  • The energy of the PseudoJet.

source


# JetReconstruction.etaMethod.
julia
eta(p::PseudoJet)

Compute the pseudorapidity (η) of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the pseudorapidity.

Returns

  • The pseudorapidity (η) of the PseudoJet.

source


# JetReconstruction.fast_findminMethod.
julia
fast_findmin(dij, n)

Find the minimum value and its index in the first n elements of the dij array. The use of @turbo macro gives a significiant performance boost.

Arguments

  • dij: An array of values.

  • n: The number of elements to consider in the dij array.

Returns

  • dij_min: The minimum value in the first n elements of the dij array.

  • best: The index of the minimum value in the dij array.

source


# JetReconstruction.find_tile_neighbours!Method.
julia
find_tile_neighbours!(tile_union, jetA, jetB, oldB, tiling)

Find the union of neighbouring tiles of jetA, jetB, and oldB and add them to the tile_union. This established the set of tiles over which searches for updated and new nearest-neighbours must be run

Arguments

  • tile_union: The tile union to which the neighbouring tiles will be added.

  • jetA: The first jet.

  • jetB: The second jet.

  • oldB: The old second jet.

  • tiling: The tiling information.

Returns

The number of neighbouring tiles added to the tile_union.

source


# JetReconstruction.geometric_distanceMethod.
julia
geometric_distance(eta1::AbstractFloat, phi1::AbstractFloat, eta2::AbstractFloat, phi2::AbstractFloat)

Compute the geometric distance between two points in the rap-phi plane.

Arguments

  • eta1::AbstractFloat: The eta coordinate of the first point.

  • phi1::AbstractFloat: The phi coordinate of the first point.

  • eta2::AbstractFloat: The eta coordinate of the second point.

  • phi2::AbstractFloat: The phi coordinate of the second point.

Returns

  • distance::Float64: The geometric distance between the two points.

source


# JetReconstruction.get_all_ancestorsMethod.
julia
get_all_ancestors(idx, cs::ClusterSequence)

Recursively finds all ancestors of a given index in a ClusterSequence object.

Arguments

  • idx: The index of the jet for which to find ancestors.

  • cs: The ClusterSequence object containing the jet history.

Returns

An array of indices representing the ancestors of the given jet.

source


# JetReconstruction.get_dij_distMethod.
julia
get_dij_dist(nn_dist, kt2_1, kt2_2, R2)

Compute the dij metric distance between two jets.

Arguments

  • nn_dist: The nearest-neighbor distance between two jets.

  • kt2_1: The squared momentum metric value of the first jet.

  • kt2_2: The squared momentum metric value of the second jet.

  • R2: The jet radius parameter squared.

Returns

The distance between the two jets.

If kt2_2 is equal to 0.0, then the first jet doesn't actually have a valid neighbour, so it's treated as a single jet adjecent to the beam.

source


# JetReconstruction.get_tileMethod.
julia
get_tile(tiling_setup::TilingDef, eta::AbstractFloat, phi::AbstractFloat)

Given a tiling_setup object, eta and phi values, this function calculates the tile indices for the given eta and phi values.

Arguments

  • tiling_setup: A TilingDef object that contains the tiling setup parameters.

  • eta: The eta value for which to calculate the tile index.

  • phi: The phi value for which to calculate the tile index.

Returns

  • ieta: The tile index along the eta direction.

  • iphi: The tile index along the phi direction.

source


# JetReconstruction.get_tile_cartesian_indicesMethod.
julia
get_tile_linear_index(tiling_setup::TilingDef, i_η::Int, i_ϕ::Int)

Compute the linear index of a tile in a tiled setup. This is much faster in this function than using the LinearIndices construct (like x100, which is bonkers, but there you go...)

Arguments

  • tiling_setup::TilingDef: The tiling setup defining the number of tiles in each dimension.

  • i_η::Int: The index of the tile in the η dimension.

  • i_ϕ::Int: The index of the tile in the ϕ dimension.

Returns

  • The linear index of the tile.

source


# JetReconstruction.initial_historyMethod.
julia
initial_history(particles)

Create an initial history for the given particles.

Arguments

  • particles: The initial vector of stable particles.

Returns

  • history: An array of HistoryElement objects.

  • Qtot: The total energy in the event.

source


# JetReconstruction.insert!Method.
julia
insert!(nextjet::TiledJet, jettomove::TiledJet)

Inserts a TiledJet object into the linked list of TiledJet objects, before the nextjet object. The jet to move can be an isolated jet, a jet from another list or a jet from the same list

Arguments

  • nextjet::TiledJet: The TiledJet object after which jettomove should be inserted.

  • jettomove::TiledJet: The TiledJet object to be inserted.

Example

source


# JetReconstruction.isvalidMethod.
julia
isvalid(t::TiledJet)

Check if a TiledJet is valid, by seeing if it is not the noTiledJet object.

Arguments

  • t::TiledJet: The TiledJet object to check.

Returns

  • Bool: true if the TiledJet object is valid, false otherwise.

source


# JetReconstruction.jet_ranksMethod.
julia
jet_ranks(clusterseq::ClusterSequence; compare_fn = JetReconstruction.pt)

Compute the ranks of jets in a given ClusterSequence object based on a specified comparison function.

Arguments

  • clusterseq::ClusterSequence: The ClusterSequence object containing the jets to rank.

  • compare_fn = JetReconstruction.pt: The comparison function used to determine the order of the jets. Defaults to JetReconstruction.pt, which compares jets based on their transverse momentum.

Returns

A dictionary mapping each jet index to its rank.

Note

This is a utility function that can be used to rank initial clusters based on a specified jet property. It can be used to assign a consistent "rank" to each reconstructed jet in the cluster sequence, which is useful for stable plotting of jet outputs.

source


# JetReconstruction.mMethod.
julia
m(p::PseudoJet)

Compute the invariant mass of a PseudoJet object. By convention if m^2 < 0, then -sqrt{(-m^2)} is returned.

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the invariant mass.

Returns

The invariant mass of the PseudoJet object.

source


# JetReconstruction.m2Method.
julia
m2(p::PseudoJet)

Calculate the invariant mass squared (m^2) of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object for which to calculate the invariant mass squared.

Returns

  • The invariant mass squared (m^2) of the PseudoJet.

source


# JetReconstruction.magMethod.
julia
mag(p::PseudoJet)

Return the magnitude of the momentum of a PseudoJet, |p|.

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the magnitude.

Returns

The magnitude of the PseudoJet object.

source


# JetReconstruction.massMethod.
julia
mass(p::PseudoJet)

Compute the invariant mass (alias for m(p)).

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the mass.

Returns

  • The mass of the PseudoJet.

source


# JetReconstruction.mass2Function.

Alias for m2 function

source


# JetReconstruction.merge_stepsMethod.
julia
merge_steps(clusterseq::ClusterSequence)

Compute the number of jet-jet merge steps in a cluster sequence. This is useful to give the number of meaningful recombination steps in a jet reconstruction sequence (beam merge steps are not counted).

Arguments

  • clusterseq::ClusterSequence: The cluster sequence object.

Returns

  • merge_steps::Int: The number of merge steps.

source


# JetReconstruction.phiMethod.
julia
phi(p::PseudoJet)

Compute the ϕ angle of a PseudoJet object p.

Note this function is a wrapper for phi_02pi(p).

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the azimuthal angle.

Returns

  • The azimuthal angle of p in the range [0, 2π).

source


# JetReconstruction.phi_02piMethod.
julia
phi_02pi(p::PseudoJet)

Compute the azimuthal angle of a PseudoJet object p in the range [0, 2π).

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the azimuthal angle.

Returns

  • The azimuthal angle of p in the range [0, 2π).

source


# JetReconstruction.ptMethod.
julia
pt(p::PseudoJet)

Compute the scalar transverse momentum (pt) of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the transverse momentum.

Returns

  • The transverse momentum (pt) of the PseudoJet.

source


# JetReconstruction.pt2Method.
julia
pt2(p::PseudoJet)

Get the squared transverse momentum of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object.

Returns

  • The squared transverse momentum of the PseudoJet.

source


# JetReconstruction.pxMethod.
julia
px(p::PseudoJet)

Return the x-component of the momentum of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object.

Returns

  • The x-component of the momentum of the PseudoJet.

source


# JetReconstruction.pyMethod.
julia
py(p::PseudoJet)

Return the y-component of the momentum of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object.

Returns

  • The y-component of the momentum of the PseudoJet.

source


# JetReconstruction.pzMethod.
julia
pz(p::PseudoJet)

Return the z-component of the momentum of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object.

Returns

  • The z-component of the momentum of the PseudoJet.

source


# JetReconstruction.rapidityMethod.
julia
rapidity(p::PseudoJet)

Compute the rapidity of a PseudoJet object.

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the rapidity.

Returns

The rapidity of the PseudoJet object.

source


# JetReconstruction.reco_stateMethod.
julia
reco_state(cs::ClusterSequence, pt_ranks; iteration=0)

This function returns the reconstruction state of a ClusterSequence object based on a given iteration number in the reconstruction.

Arguments

  • cs::ClusterSequence: The ClusterSequence object to update.

  • ranks: The ranks of the original clusters, that are inherited by peudojets

during the reconstruction process.

  • iteration=0: The iteration number to consider for updating the reconstruction state (0 represents the initial state).

  • ignore_beam_merge=true: Ignore beam merging steps in the reconstruction (which produce no change in status).

Returns

A dictionary representing a snapshot of the reconstruction state.

Details

The function starts by initializing the reconstruction state with the initial particles. Then, it walks over the iteration sequence and updates the reconstruction state based on the history of recombination and finalization/beam merger steps.

source


# JetReconstruction.rightneighboursMethod.
julia
rightneighbours(center::Int, tiling::Tiling)

Compute the indices of the right neighbors of a given center index in a tiling. This is used in the inital sweep to calculate the nearest neighbors, where the search between jets for the nearest neighbour is bi-directional, thus when a tile is considered only the right neighbours are needed to compare jet distances as the left-hand tiles have been done from that tile already.

Arguments

  • center::Int: The center index.

  • tiling::Tiling: The tiling object.

Returns

  • Surrounding: An object containing the indices of the right neighbors.

source


# JetReconstruction.set_momentum!Method.
julia
set_momentum!(j::PseudoJet, px, py, pz, E)

Set the momentum components and energy of a PseudoJet object.

Arguments

  • j::PseudoJet: The PseudoJet object to set the momentum for.

  • px: The x-component of the momentum.

  • py: The y-component of the momentum.

  • pz: The z-component of the momentum.

  • E: The energy of the particle.

source


# JetReconstruction.set_nearest_neighbours!Method.
julia
set_nearest_neighbours!(clusterseq::ClusterSequence, tiling::Tiling, tiledjets::Vector{TiledJet})

This function sets the nearest neighbor information for all jets in the tiledjets vector.

Arguments

  • clusterseq::ClusterSequence: The cluster sequence object.

  • tiling::Tiling: The tiling object.

  • tiledjets::Vector{TiledJet}: The vector of tiled jets.

Returns

  • NNs::Vector{TiledJet}: The vector of nearest neighbor jets.

  • diJ::Vector{Float64}: The vector of diJ values.

The function iterates over each tile in the tiling and sets the nearest neighbor information for each jet in the tile. It then looks for neighbor jets in the neighboring tiles and updates the nearest neighbor information accordingly. Finally, it creates the diJ table and returns the vectors of nearest neighbor jets and diJ values.

Note: The diJ values are calculated as the kt distance multiplied by R^2.

source


# JetReconstruction.setup_tilingMethod.
julia
setup_tiling(eta::Vector{T}, Rparam::AbstractFloat) where T <: AbstractFloat

This function sets up the tiling parameters for a reconstruction given a vector of rapidities eta and a radius parameter Rparam.

Arguments

  • eta::Vector{T}: A vector of rapidities.

  • Rparam::AbstractFloat: The jet radius parameter.

Returns

  • tiling_setup: A TilingDef object containing the tiling setup parameters.

Description

The function first decides the tile sizes based on the Rparam value. It then determines the number of tiles in the phi direction (n_tiles_phi) based on the tile size. Next, it determines the rapidity extent of the input eta vector and adjusts the values accordingly. Finally, it creates a TilingDef object with the calculated tiling parameters and returns it.

source


# JetReconstruction.surroundingMethod.
julia
surrounding(center::Int, tiling::Tiling)

Compute the surrounding indices of a given center index in a tiling.

Arguments

  • center::Int: The center index.

  • tiling::Tiling: The tiling object.

Returns

  • Surrounding: An object containing the surrounding indices.

source


# JetReconstruction.tile_indexMethod.
julia
tile_index(tiling_setup, eta::Float64, phi::Float64)

Compute the tile index for a given (eta, phi) coordinate.

Arguments

  • tiling_setup: The tiling setup object containing the tile size and number of tiles.

  • eta::Float64: The eta coordinate.

  • phi::Float64: The phi coordinate.

Returns

The tile index corresponding to the (eta, phi) coordinate.

source


# JetReconstruction.tiledjet_remove_from_tiles!Method.
julia
tiledjet_remove_from_tiles!(tiling, jet)

Remove a jet from the given tiling structure.

Arguments

  • tiling: The tiling structure from which the jet will be removed.

  • jet: The jet to be removed from the tiling structure.

Description

This function removes a jet from the tiling structure. It adjusts the linked list to be consistent with the removal of the jet.

source


# JetReconstruction.tiledjet_set_jetinfo!Method.
julia
tiledjet_set_jetinfo!(jet::TiledJet, clusterseq::ClusterSequence, tiling::Tiling, jets_index, R2, p)

Initialise a tiled jet from a PseudoJet (using an index into our ClusterSequence)

Arguments:

  • jet::TiledJet: The TiledJet object to set the information for.

  • clusterseq::ClusterSequence: The ClusterSequence object containing the jets.

  • tiling::Tiling: The Tiling object containing the tile information.

  • jets_index: The index of the jet in the ClusterSequence.

  • R2: The jet radius parameter squared.

  • p: The power to raise the pt2 value to.

This function sets the eta, phi, kt2, jets_index, NN_dist, NN, tile_index, previous, and next fields of the TiledJet object.

Returns:

  • nothing

source


# JetReconstruction.upd_nn_crosscheck!Method.
julia
upd_nn_crosscheck!(i, from, to, rapidity_array, phi_array, R2, nndist, nn)

Update the nearest neighbor information for a given particle index i against all particles in the range indexes from to to. The function updates the nndist and nn arrays with the nearest neighbor distance and index respectively, both for particle i and the checked particles [from:to] (hence crosscheck).

Arguments

  • i::Int: The index of the particle to update and check against.

  • from::Int: The starting index of the range of particles to check against.

  • to::Int: The ending index of the range of particles to check against.

  • rapidity_array: An array containing the rapidity values of all particles.

  • phi_array: An array containing the phi values of the all particles.

  • R2: The squared jet distance threshold for considering a particle as a neighbour.

  • nndist: The array that stores the nearest neighbor distances.

  • nn: The array that stores the nearest neighbor indices.

source


# JetReconstruction.upd_nn_nocross!Method.
julia
upd_nn_nocross!(i, from, to, rapidity_array, phi_array, R2, nndist, nn)

Update the nearest neighbor information for a given particle index i against all particles in the range indexes from to to. The function updates the nndist and nn arrays with the nearest neighbor distance and index respectively, only for particle i (hence nocross).

Arguments

  • i::Int: The index of the particle to update and check against.

  • from::Int: The starting index of the range of particles to check against.

  • to::Int: The ending index of the range of particles to check against.

  • rapidity_array: An array containing the rapidity values of all particles.

  • phi_array: An array containing the phi values of the all particles.

  • R2: The squared jet distance threshold for considering a particle as a neighbour.

  • nndist: The array that stores the nearest neighbor distances.

  • nn: The array that stores the nearest neighbor indices.

source


# JetReconstruction.upd_nn_step!Method.
julia
upd_nn_step!(i, j, k, N, Nn, kt2_array, rapidity_array, phi_array, R2, nndist, nn, nndij)

Update the nearest neighbor information after a jet merge step.

Arguments:

  • i: Index of the first particle in the last merge step.

  • j: Index of the second particle in the last merge step.

  • k: Index of the current particle for which the nearest neighbour will be updated.

  • N: Total number of particles (currently vaild array indexes are [1:N]).

  • Nn: Number of nearest neighbors to consider.

  • kt2_array: Array of transverse momentum squared values.

  • rapidity_array: Array of rapidity values.

  • phi_array: Array of azimuthal angle values.

  • R2: Distance threshold squared for nearest neighbors.

  • nndist: Array of nearest neighbor geometric distances.

  • nn: Array of nearest neighbor indices.

  • nndij: Array of metric distances between particles.

This function updates the nearest neighbor information for the current particle k by considering the distances to particles i and j. It checks if the distance between k and i is smaller than the current nearest neighbor distance for k, and updates the nearest neighbor information accordingly. It also updates the nearest neighbor information for i if the distance between k and i is smaller than the current nearest neighbor distance for i. Finally, it checks if the nearest neighbor of k is the total number of particles Nn and updates it to j if necessary.

source


# JetReconstruction.ηFunction.
julia
const η = eta

Alias for the pseudorapidity function, eta.

source


# JetReconstruction.FourMomentumType.

Interface for composite types that includes fields px, py, py, and E that represents the components of a four-momentum vector.

source


# JetReconstruction.HistoryElementType.
julia
struct HistoryElement

A struct holding a record of jet mergers and finalisations

Fields:

  • parent1: Index in history where first parent of this jet was created (NonexistentParent if this jet is an original particle)

  • parent2: Index in history where second parent of this jet was created (NonexistentParent if this jet is an original particle); BeamJet if this history entry just labels the fact that the jet has recombined with the beam)

  • child: Index in history where the current jet is recombined with another jet to form its child. It is Invalid if this jet does not further recombine.

  • jetp_index: Index in the jets vector where we will find the PseudoJet object corresponding to this jet (i.e. the jet created at this entry of the history). NB: if this element of the history corresponds to a beam recombination, then jetp_index=Invalid.

  • dij: The distance corresponding to the recombination at this stage of the clustering.

  • max_dij_so_far: The largest recombination distance seen so far in the clustering history.

source


# JetReconstruction.HistoryElementMethod.
julia
HistoryElement(jetp_index)

Constructs a HistoryElement object with the given jetp_index, used for initialising the history with original particles.

Arguments

  • jetp_index: The index of the jetp.

Returns

A HistoryElement object.

source


# JetReconstruction.JetWithAncestorsType.
julia
struct JetWithAncestors

A struct representing a jet with its origin ancestors.

Fields

  • self::PseudoJet: The PseudoJet object for this jet.

  • jetp_index::Int: The index of the jet in the corresponding cluster sequence.

  • ancestors::Set{Int}: A set of indices representing the jetp_indexes of ancestors of the jet (in the cluster sequence).

  • jet_rank::Int: The rank of the jet based on a comparison of all of the jet's ancestors

Note

This structure needs its associated cluster sequence origin to be useful.

source


# JetReconstruction.SurroundingType.
julia
struct Surrounding{N}

Structure used for iterating over neighbour tiles.

Fields

  • indices::NTuple{N, Int}: A tuple of N integers representing the indices.

source


# JetReconstruction.TiledJetType.
julia
struct TiledJet

TiledJet represents a jet in a tiled algorithm for jet reconstruction, with additional information to track the jet's position in the tiled structures.

Fields

  • id::Int: The ID of the jet.

  • eta::Float64: The rapidity of the jet.

  • phi::Float64: The azimuthal angle of the jet.

  • kt2::Float64: The transverse momentum squared of the jet.

  • NN_dist::Float64: The distance to the nearest neighbor.

  • jets_index::Int: The index of the jet in the jet array.

  • tile_index::Int: The index of the tile in the tile array.

  • dij_posn::Int: The position of this jet in the dij compact array.

  • NN::TiledJet: The nearest neighbor.

  • previous::TiledJet: The previous jet.

  • next::TiledJet: The next jet.

source


# JetReconstruction.TiledJetMethod.
julia
TiledJet(id)

Constructs a TiledJet object with the given id and initializes its properties to zero.

Arguments

  • id: The ID of the TiledJet object.

Returns

A TiledJet object with the specified id and values set to zero or noTiledJet.

source


# JetReconstruction.TilingType.
julia
struct Tiling

The Tiling struct represents a tiling configuration for jet reconstruction.

Fields

  • setup::TilingDef: The tiling definition used for the configuration.

  • tiles::Matrix{TiledJet}: A matrix of tiled jets, containing the first jet in each tile (then the linked list of the first jet is followed to get access to all jets in this tile).

  • positions::Matrix{Int}: Used to track tiles that are on the edge of ϕ array, where neighbours need to be wrapped around.

  • tags::Matrix{Bool}: The matrix of tags indicating whether a tile is valid or not (set to false initially, then true when the tile has been setup properly).

source


# JetReconstruction.TilingMethod.
julia
Tiling(setup::TilingDef)

Constructs a intial Tiling object based on the provided setup parameters.

Arguments

  • setup::TilingDef: The setup parameters for the tiling.

Returns

A Tiling object.

source


# JetReconstruction.TilingDefType.
julia
struct TilingDef

A struct representing the definition of a spcific tiling scheme.

Fields

  • _tiles_eta_min::Float64: The minimum rapidity of the tiles.

  • _tiles_eta_max::Float64: The maximum rapidity of the tiles.

  • _tile_size_eta::Float64: The size of a tile in rapidity (usually R^2).

  • _tile_size_phi::Float64: The size of a tile in phi (usually a bit more than R^2).

  • _n_tiles_eta::Int: The number of tiles across rapidity.

  • _n_tiles_phi::Int: The number of tiles across phi.

  • _n_tiles::Int: The total number of tiles.

  • _tiles_ieta_min::Int: The minimum rapidity tile index.

  • _tiles_ieta_max::Int: The maximum rapidity tile index.

Constructor

TilingDef(_tiles_eta_min, _tiles_eta_max, _tile_size_eta, _tile_size_phi,
+	_n_tiles_eta, _n_tiles_phi, _tiles_ieta_min, _tiles_ieta_max)

Constructs a TilingDef object with the given parameters.

source


# JetReconstruction.neighbour_tilesType.
julia
struct neighbour_tiles

A struct representing the neighbouring tiles.

A struct for iterating over all neighbour tiles for a given Cartesian tile index. These are the tiles above and to the right of the given tile (X=included, O=not included):

XXX
+X.X
+XXX

Note, rapidity coordinate must be in range, ϕ coordinate wraps

Fields

  • n_η::Int: Number of η tiles

  • n_ϕ::Int: Number of ϕ tiles

  • start_η::Int: Centre η tile coordinate

  • start_ϕ::Int: Centre ϕ tile coordinate

source


# JetReconstruction.rightmost_tilesType.
julia
struct rightmost_tiles

A struct for iterating over rightmost tiles for a given Cartesian tile index. These are the tiles above and to the right of the given tile (X=included, O=not included):

XXX
+O.X
+OOO

Note, rapidity coordinate must be in range, ϕ coordinate wraps

Fields

  • n_η::Int: Number of η tiles

  • n_ϕ::Int: Number of ϕ tiles

  • start_η::Int: Centre η tile coordinate

  • start_ϕ::Int: Centre ϕ tile coordinate

source


`,152),a=[n];function r(l,c,d,p,h,u){return i(),t("div",null,a)}const k=e(o,[["render",r]]);export{g as __pageData,k as default}; diff --git a/dev/assets/lib_internal.md.BRkM1dic.lean.js b/dev/assets/lib_internal.md.BRkM1dic.lean.js new file mode 100644 index 0000000..0c8ef58 --- /dev/null +++ b/dev/assets/lib_internal.md.BRkM1dic.lean.js @@ -0,0 +1 @@ +import{_ as e,c as t,o as i,a7 as s}from"./chunks/framework.CdnWR3-W.js";const g=JSON.parse('{"title":"Jet Reconstruction Internal Documentation","description":"","frontmatter":{},"headers":[],"relativePath":"lib/internal.md","filePath":"lib/internal.md","lastUpdated":null}'),o={name:"lib/internal.md"},n=s("",152),a=[n];function r(l,c,d,p,h,u){return i(),t("div",null,a)}const k=e(o,[["render",r]]);export{g as __pageData,k as default}; diff --git a/dev/assets/lib_public.md.CLCMziN4.js b/dev/assets/lib_public.md.CLCMziN4.js new file mode 100644 index 0000000..498d8d8 --- /dev/null +++ b/dev/assets/lib_public.md.CLCMziN4.js @@ -0,0 +1,7 @@ +import{_ as e,c as t,o as s,a7 as i}from"./chunks/framework.CdnWR3-W.js";const g=JSON.parse('{"title":"Jet Reconstruction Public Documentation","description":"","frontmatter":{},"headers":[],"relativePath":"lib/public.md","filePath":"lib/public.md","lastUpdated":null}'),a={name:"lib/public.md"},n=i(`

Jet Reconstruction Public Documentation

Documentation for JetReconstruction.jl's public interfaces.

Index

Public Methods and Types

# JetReconstruction.exclusive_jetsMethod.
julia
exclusive_jets(clusterseq::ClusterSequence; dcut = nothing, njets = nothing)

Return all exclusive jets of a ClusterSequence, with either a specific number of jets or a cut on the maximum distance parameter.

Arguments

  • clusterseq::ClusterSequence: The ClusterSequence object containing the clustering history and jets.

  • dcut::Union{Nothing, Real}: The distance parameter used to define the exclusive jets. If dcut is provided, the number of exclusive jets will be calculated based on this parameter.

  • njets::Union{Nothing, Integer}: The number of exclusive jets to be calculated. If njets is provided, the distance parameter dcut will be calculated based on this number.

Note: Either dcut or njets must be provided (but not both).

Returns

  • An array of LorentzVectorCyl objects representing the exclusive jets.

Exceptions

  • ArgumentError: If neither dcut nor njets is provided.

  • ArgumentError: If the algorithm used in the ClusterSequence object is not suitable for exclusive jets.

  • ErrorException: If the cluster sequence is incomplete and exclusive jets are unavailable.

Examples

julia
exclusive_jets(clusterseq, dcut = 20.0)
+exclusive_jets(clusterseq, njets = 3)

source


# JetReconstruction.final_jetsFunction.

Specialisation for final jets from LorentzVectors (TODO: merge into more general function)

source


# JetReconstruction.final_jetsFunction.

Specialisation for final jets from LorentzVectorCyl (TODO: merge into more general function)

source


# JetReconstruction.final_jetsFunction.
julia
final_jets(jets::Vector{PseudoJet}, ptmin::AbstractFloat=0.0)

This function takes a vector of PseudoJet objects and a minimum transverse momentum ptmin as input. It returns a vector of FinalJet objects that satisfy the transverse momentum condition.

Arguments

  • jets::Vector{PseudoJet}: A vector of PseudoJet objects representing the input jets.

  • ptmin::AbstractFloat=0.0: The minimum transverse momentum required for a jet to be included in the final jets vector.

Returns

A vector of FinalJet objects that satisfy the transverse momentum condition.

source


# JetReconstruction.inclusive_jetsFunction.
julia
inclusive_jets(clusterseq::ClusterSequence, ptmin = 0.0)

Return all inclusive jets of a ClusterSequence with pt > ptmin.

Arguments

  • clusterseq::ClusterSequence: The ClusterSequence object containing the clustering history and jets.

  • ptmin::Float64 = 0.0: The minimum transverse momentum (pt) threshold for the inclusive jets.

Returns

An array of LorentzVectorCyl objects representing the inclusive jets.

Description

This function computes the inclusive jets from a given ClusterSequence object. It iterates over the clustering history and checks the transverse momentum of each parent jet. If the transverse momentum is greater than or equal to ptmin, the jet is added to the array of inclusive jets.

Example

julia
inclusive_jets(clusterseq, ptmin = 10.0)

source


# JetReconstruction.jet_reconstructMethod.
julia
jet_reconstruct(particles; p = -1, R = 1.0, recombine = +, strategy = RecoStrategy.Best)

Reconstructs jets from a collection of particles using a specified algorithm and strategy

Arguments

  • particles: A collection of particles used for jet reconstruction.

  • p=-1: The power value used for the distance measure for generalised k_T, which maps to a particular reconstruction algorithm (-1 = AntiKt, 0 = Cambridge/Aachen, 1 = Kt).

  • R=1.0: The jet radius parameter.

  • recombine=+: The recombination scheme used for combining particles.

  • strategy=RecoStrategy.Best: The jet reconstruction strategy to use. RecoStrategy.Best makes a dynamic decision based on the number of starting particles.

Returns

A cluster sequence object containing the reconstructed jets and the merging history.

Details

particles argument

Any type that supplies the methods pt2(), phi(), rapidity(), px(), py(), pz(), energy() (in the JetReconstruction namespace) can be used. This includes LorentzVector, LorentzVectorCyl, and PseudoJet, for which these methods are already predefined in the JetReconstruction namespace.

recombine argument

The recombine argument is the function used to merge pairs of particles. The default is simply +(jet1,jet2), i.e. 4-momenta addition or the E-scheme.

Example

julia
jet_reconstruct(particles; p = -1, R = 0.4)

source


# JetReconstruction.loadjets!Method.
julia
loadjets!(filename, jets; splitby=isspace, constructor=(px,py,pz,E)->LorentzVectorHEP(E,px,py,pz), dtype=Float64)

Loads the jets from a file. Ignores lines that start with '#'. Each line gets processed in the following way: the line is split using split(line, splitby) or simply split(line) by default. Every value in this line is then converted to the dtype (which is Float64 by default). These values are then used as arguments for the constructor function which should produce individual jets. By default, the constructor constructs Lorentz vectors.

Everything that was already in jets is not affected as we only use push! on it.

Example

julia
# Load jets from two files into one array
+jets = []
+loadjets!("myjets1.dat", jets)
+loadjets!("myjets2.dat", jets)

source


# JetReconstruction.loadjetsMethod.
julia
loadjets(filename; splitby=isspace, constructor=(px,py,pz,E)->LorentzVectorHEP(E,px,py,pz), VT=LorentzVector)

Load jets from a file.

Arguments

  • filename: The name of the file to load jets from.

  • splitby: The delimiter used to split the data in the file. Default is isspace.

  • constructor: A function that constructs a VT object from the jet data. Default is (px,py,pz,E)->LorentzVector(E,px,py,pz).

  • VT: The type of the vector used to store the jet data. Default is LorentzVector.

Returns

  • A vector of VT objects representing the loaded jets.

source


# JetReconstruction.n_exclusive_jetsMethod.
julia
n_exclusive_jets(clusterseq::ClusterSequence; dcut::AbstractFloat)

Return the number of exclusive jets of a ClusterSequence that are above a certain dcut value.

Arguments

  • clusterseq::ClusterSequence: The ClusterSequence object containing the clustering history.

  • dcut::AbstractFloat: The maximum calue for the distance parameter in the reconstruction.

Returns

The number of exclusive jets in the ClusterSequence object.

Example

julia
n_exclusive_jets(clusterseq, dcut = 20.0)

source


# JetReconstruction.plain_jet_reconstructMethod.
julia
plain_jet_reconstruct(particles::Vector{T}; p = -1, R = 1.0, recombine = +) where T

Perform jet reconstruction using the plain algorithm.

Arguments

  • particles::Vector{T}: A vector of particles used for jet reconstruction, any array of particles, which supports suitable 4-vector methods, viz. pt2(), phi(), rapidity(), px(), py(), pz(), energy(), can be used. for each element.

  • p::Int=-1: The integer value used for jet reconstruction.

  • R::Float64=1.0: The radius parameter used for jet reconstruction.

  • recombine::Function=+: The recombination function used for jet reconstruction.

Note for the particles argument, the 4-vector methods need to exist in the JetReconstruction package namespace.

Returns

  • Vector{PseudoJet}: A vector of reconstructed jets.

Example

julia
jets = plain_jet_reconstruct(particles; p = -1, R = 1.0)

source


# JetReconstruction.read_final_state_particlesMethod.
julia
read_final_state_particles(fname; maxevents = -1, skipevents = 0, T=PseudoJet)

Reads final state particles from a file and returns them as a vector of type T.

Arguments

  • fname: The name of the HepMC3 ASCII file to read particles from. If the file is gzipped, the function will automatically decompress it.

  • maxevents=-1: The maximum number of events to read. -1 means all events will be read.

  • skipevents=0: The number of events to skip before an event is included.

  • T=PseudoJet: The type of object to contruct and return.

Returns

A vector of vectors of T objects, where each inner vector represents all the particles of a particular event. In particular T can be PseudoJet or a LorentzVector type. Note, if T is not PseudoJet, the order of the arguments in the constructor must be (t, x, y, z).

source


# JetReconstruction.savejetsMethod.
julia
savejets(filename, jets; format="px py pz E")

Save jet data to a file.

Arguments

  • filename: The name of the file to save the jet data to.

  • jets: An array of jet objects to save.

  • format="px py pz E": (optional) A string specifying the format of the jet data to save. The default format is "px py pz E".

Details

This function saves jet data to a file in a specific format. Each line in the file represents a jet and contains the information about the jet in the specified format. The format string can include the following placeholders:

  • "E" or "energy": Jet energy

  • "px": Momentum along the x-axis

  • "py": Momentum along the y-axis

  • "pz": Momentum along the z-axis

  • "pt2": Square of the transverse momentum

  • "phi": Azimuth angle

  • "rapidity": Rapidity

Lines starting with '#' are treated as comments and are ignored.

It is strongly NOT recommended to put something other than values and (possibly custom) separators in the format string.

source


# JetReconstruction.tiled_jet_reconstructMethod.
julia
tiled_jet_reconstruct(particles::Vector{PseudoJet}; p = -1, R = 1.0, recombine = +) where {T}

Main jet reconstruction algorithm entry point for reconstructing jets using the tiled stragegy for the prefered internal jet type, PseudoJet.

Arguments

  • particles::Vector{PseudoJet}: A vector of PseudoJet particles used as input for jet reconstruction.

  • p::Int = -1: The power parameter for the jet reconstruction algorithm, thus swiching between different algorithms.

  • R::Float64 = 1.0: The jet radius parameter for the jet reconstruction algorithm.

  • recombine::Function = +: The recombination function used for combining pseudojets.

Returns

  • Vector{PseudoJet}: A vector of reconstructed jets.

Example

julia
tiled_jet_reconstruct(particles::Vector{PseudoJet}; p = 1, R = 1.0, recombine = +)

source


# JetReconstruction.tiled_jet_reconstructMethod.
julia
tiled_jet_reconstruct(particles::Vector{T}; p = -1, R = 1.0, recombine = +) where {T}

Main jet reconstruction algorithm entry point for reconstructing jets using the tiled stragegy for generic jet type T.

Note - if a non-standard recombination is used, it must be defined for JetReconstruction.PseudoJet, as this struct is used internally.

Arguments

  • particles::Vector{T}: A vector of particles used as input for jet reconstruction. T must support methods px, py, pz and energy (defined in the JetReconstruction namespace)

  • p::Int = -1: The power parameter for the jet reconstruction algorithm, thus swiching between different algorithms.

  • R::Float64 = 1.0: The jet radius parameter for the jet reconstruction algorithm.

  • recombine::Function = +: The recombination function used for combining pseudojets.

Returns

  • Vector{PseudoJet}: A vector of reconstructed jets.

Example

julia
tiled_jet_reconstruct(particles::Vector{LorentzVectorHEP}; p = -1, R = 0.4, recombine = +)

source


# JetReconstruction.ClusterSequenceType.
julia
struct ClusterSequence

A struct holding the full history of a jet clustering sequence, including the final jets.

Fields

  • algorithm::JetAlgorithm.Algorithm: The algorithm used for clustering.

  • strategy::RecoStrategy.Strategy: The strategy used for clustering.

  • jets::Vector{PseudoJet}: The physical PseudoJets in the cluster sequence. Each PseudoJet corresponds to a position in the history.

  • n_initial_jets::Int: The initial number of particles used for exclusive jets.

  • history::Vector{HistoryElement}: The branching history of the cluster sequence. Each stage in the history indicates where to look in the jets vector to get the physical PseudoJet.

  • Qtot::Any: The total energy of the event.

source


# JetReconstruction.ClusterSequenceMethod.
julia
ClusterSequence(p::Int, strategy::RecoStrategy.Strategy, jets, history, Qtot)

Constructs a ClusterSequence object with a specific power value mapped to a pp reconstruction algorithm.

Arguments

  • p::Int: The power value for the algorithm.

  • strategy::RecoStrategy.Strategy: The reconstruction strategy.

  • jets: The jets to be clustered.

  • history: The length of the jets.

  • Qtot: The total energy of the jets.

Returns

A ClusterSequence object.

source


# JetReconstruction.ClusterSequenceMethod.
julia
ClusterSequence(alg::JetAlgorithm.Algorithm, strategy::RecoStrategy.Strategy, jets, history, Qtot)

Constructs a ClusterSequence object with a specific algorithm spcified.

Arguments

  • alg::JetAlgorithm.Algorithm: The algorithm.

  • strategy::RecoStrategy.Strategy: The reconstruction strategy.

  • jets: The jets to be clustered.

  • history: The length of the jets.

  • Qtot: The total energy of the jets.

Returns

A ClusterSequence object.

source


# JetReconstruction.FinalJetType.
julia
struct FinalJet

A struct representing the final properties of a jet, used for JSON serialisation.

Fields

  • rap::Float64: The rapidity of the jet.

  • phi::Float64: The azimuthal angle of the jet.

  • pt::Float64: The transverse momentum of the jet.

source


# JetReconstruction.FinalJetsType.
julia
struct FinalJets

A struct with the vector of all jets for a certain jet identifier, used for JSON serialisation.

Fields

  • jetid::Int64: The ID of the jet.

  • jets::Vector{FinalJet}: A vector of FinalJet objects representing the jets.

source


# JetReconstruction.PseudoJetType.
julia
mutable struct PseudoJet <: FourMomentum

The PseudoJet struct represents a pseudojet, a four-momentum object used in jet reconstruction algorithms. Additonal information for the link back into the history of the clustering is stored in the _cluster_hist_index field. There is caching of the more expensive calculations for rapidity and azimuthal angle.

Fields

  • px::Float64: The x-component of the momentum.

  • py::Float64: The y-component of the momentum.

  • pz::Float64: The z-component of the momentum.

  • E::Float64: The energy component of the momentum.

  • _cluster_hist_index::Int: The index of the cluster history.

  • _pt2::Float64: The squared transverse momentum.

  • _inv_pt2::Float64: The inverse squared transverse momentum.

  • _rap::Float64: The rapidity.

  • _phi::Float64: The azimuthal angle.

source


# JetReconstruction.PseudoJetMethod.
julia
PseudoJet(px::Float64, py::Float64, pz::Float64, E::Float64)

Constructs a PseudoJet object with the given momentum components and energy.

Arguments

  • px::Float64: The x-component of the momentum.

  • py::Float64: The y-component of the momentum.

  • pz::Float64: The z-component of the momentum.

  • E::Float64: The energy.

Returns

A PseudoJet object.

source


# JetReconstruction.PseudoJetMethod.
julia
PseudoJet(px::Float64, py::Float64, pz::Float64, E::Float64,
+    _cluster_hist_index::Int,
+    pt2::Float64)

Constructs a PseudoJet object with the given momentum components and energy and history index.

Arguments

  • px::Float64: The x-component of the momentum.

  • py::Float64: The y-component of the momentum.

  • pz::Float64: The z-component of the momentum.

  • E::Float64: The energy.

  • _cluster_hist_index::Int: The cluster history index.

  • pt2::Float64: The transverse momentum squared.

Returns

A PseudoJet object.

source


`,49),o=[n];function l(r,c,p,h,d,u){return s(),t("div",null,o)}const b=e(a,[["render",l]]);export{g as __pageData,b as default}; diff --git a/dev/assets/lib_public.md.CLCMziN4.lean.js b/dev/assets/lib_public.md.CLCMziN4.lean.js new file mode 100644 index 0000000..f8d6051 --- /dev/null +++ b/dev/assets/lib_public.md.CLCMziN4.lean.js @@ -0,0 +1 @@ +import{_ as e,c as t,o as s,a7 as i}from"./chunks/framework.CdnWR3-W.js";const g=JSON.parse('{"title":"Jet Reconstruction Public Documentation","description":"","frontmatter":{},"headers":[],"relativePath":"lib/public.md","filePath":"lib/public.md","lastUpdated":null}'),a={name:"lib/public.md"},n=i("",49),o=[n];function l(r,c,p,h,d,u){return s(),t("div",null,o)}const b=e(a,[["render",l]]);export{g as __pageData,b as default}; diff --git a/dev/assets/lib_visualisation.md.M8alx2J7.js b/dev/assets/lib_visualisation.md.M8alx2J7.js new file mode 100644 index 0000000..9e6deb6 --- /dev/null +++ b/dev/assets/lib_visualisation.md.M8alx2J7.js @@ -0,0 +1,29 @@ +import{_ as e,c as s,o as a,a7 as i}from"./chunks/framework.CdnWR3-W.js";const b=JSON.parse('{"title":"Jet Visualisation Documentation","description":"","frontmatter":{},"headers":[],"relativePath":"lib/visualisation.md","filePath":"lib/visualisation.md","lastUpdated":null}'),t={name:"lib/visualisation.md"},n=i(`

Jet Visualisation Documentation

Documentation for visualisation interfaces extension module.

Index

Jet Visualisation Public Interfaces

# JetReconstruction.animaterecoMethod.
julia
animatereco(cs::ClusterSequence, filename;
+            barsize_phi = 0.1,
+            barsize_y = 0.1,
+            colormap = :glasbey_category10_n256,
+            perspective = 0.5,
+            azimuth = 2.7,
+            elevation = 0.5,
+            framerate = 5,
+            ancestors = false,
+            Module = Makie)

Animate the jet reconstruction process and save it as a video file.

Arguments

  • cs::ClusterSequence: The cluster sequence object containing the jets.

  • filename: The name of the output video file.

Optional Arguments

  • barsize_phi=0.1: The size of the bars in the phi direction.

  • barsize_y=0.1: The size of the bars in the y direction.

  • colormap=:glasbey_category10_n256: The colormap to use for coloring the jets.

  • perspective=0.5: The perspective of the plot.

  • azimuth=2.7: The azimuth angle of the plot.

  • elevation=0.5: The elevation angle of the plot.

  • framerate=5: The framerate of the output video.

  • end_frames=0: The number of static frames to show at the end of the animation. This can be useful to show the final state of the jets for a longer time.

  • title=nothing: The title to add to the plot.

  • ancestors=false: Whether to include ancestors of the jets in the animation. When true the ancestors of the jets will be plotted as well, as height zero bars, with the same colour as the jet they are ancestors of.

  • Module: The plotting module to use. Default is Makie.

For perspective, azimuth, and elevation, a single value can be passed for a fixed viewpoint, or a tuple of two values for a changing viewpoint. The viewpoint will then change linearly between the two values over the course of the animation.

Returns

  • fig: The figure object representing the final frame.

source


# JetReconstruction.jetsplotMethod.

jetsplot(objects, idx_arrays; barsize_phi=0.1, barsize_eta=0.1, colormap=:glasbey_hv_n256, Module=Main)

Plots a 3d bar chart that represents jets. Takes an objects array of objects to display and idx_arrays, an array of arrays with indeces, where idx_arrays[i] gives indeces of objects that form the jet number i. This function's signature might not be the most practical for the current version of the JetReconstruction.jl package, as it has been written during the early stage of development. There is now an overload of it that takes a ClusterSequence object as its argument.

Optional arguments: barsize_phi::Real — width of a bar along the ϕ axis; barsize_eta::Real — width of a bar along the η axis; colormap::Symbol — Makie colour map; Module — the module where you have your Makie (see below);

# example
+using CairoMakie # use any other Makie that you have here
+
+jetsplot([object1, object2, object3], [[1], [2, 3]])

The example above plots object1 as a separate jet in one colour and object2 and object3 together in another colour.

This function needs Makie.jl to work. You should install and import/use a specific backend yourself. jetsplot works with CairoMakie, WGLMakie, GLMakie, etc. Additionally, you can specify the module where you have your Makie explicitly:

import CairoMakie
+jetsplot(my_objects, my_colour_arrays, Module=CairoMakie)
+
+import GLMakie
+jetsplot(my_objects, my_colour_arrays, Module=GLMakie)
+
+using WGLMakie
+jetsplot(my_objects, my_colour_arrays, Module=Main) #default

source


# JetReconstruction.jetsplotMethod.
julia
jetsplot(objects, cs::ClusterSequence; barsize_phi=0.1, barsize_eta=0.1, colormap=:glasbey_hv_n256, Module=Main)

Plots a 3d bar chart that represents jets. Takes objects, an array of objects to display (should be the same array you have passed to jet_reconstruct to get the cs::ClusterSequence), and the cs::ClusterSequence itself as arguments.

Optional arguments: barsize_phi::Real — width of a bar along the ϕ axis; barsize_eta::Real — width of a bar along the η axis; colormap::Symbol — Makie colour map; Module — the module where you have your Makie (see below);

# example
+using CairoMakie # use any other Makie that you have here
+jetsplot([object1, object2, object3], cluster_sequence_I_got_from_jet_reconstruct; Module=CairoMakie)

This function needs Makie.jl to work. You should install and import/use a specific backend yourself. jetsplot works with CairoMakie, WGLMakie, GLMakie, etc. Additionally, you can specify the module where you have your Makie explicitly:

import CairoMakie
+jetsplot(my_objects, cs, Module=CairoMakie)
+
+import GLMakie
+jetsplot(my_objects, cs, Module=GLMakie)
+
+using WGLMakie
+jetsplot(my_objects, cs, Module=Main) #default

source


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.button.is-white.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-frappe .button.is-white.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-white.is-outlined:hover,html.theme--catppuccin-frappe .button.is-white.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-white.is-outlined:focus,html.theme--catppuccin-frappe .button.is-white.is-outlined.is-focused{background-color:#fff;border-color:#fff;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-white.is-outlined.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-white.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-white.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-white.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-white.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-frappe .button.is-white.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-white.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-focused{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-black:hover,html.theme--catppuccin-frappe .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-black:focus,html.theme--catppuccin-frappe .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-black:focus:not(:active),html.theme--catppuccin-frappe .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--catppuccin-frappe .button.is-black:active,html.theme--catppuccin-frappe .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-frappe .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black.is-inverted:hover,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black.is-outlined:hover,html.theme--catppuccin-frappe .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-black.is-outlined:focus,html.theme--catppuccin-frappe .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-frappe .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-frappe .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light:hover,html.theme--catppuccin-frappe .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light:focus,html.theme--catppuccin-frappe .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light:focus:not(:active),html.theme--catppuccin-frappe .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-frappe .button.is-light:active,html.theme--catppuccin-frappe .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-frappe .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-frappe .button.is-light.is-inverted:hover,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-frappe .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-frappe .button.is-light.is-outlined:hover,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-light.is-outlined:focus,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-frappe .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--catppuccin-frappe .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-dark,html.theme--catppuccin-frappe .content kbd.button{background-color:#414559;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-dark:hover,html.theme--catppuccin-frappe .content kbd.button:hover,html.theme--catppuccin-frappe .button.is-dark.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-hovered{background-color:#3c3f52;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-dark:focus,html.theme--catppuccin-frappe .content kbd.button:focus,html.theme--catppuccin-frappe .button.is-dark.is-focused,html.theme--catppuccin-frappe .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-dark:focus:not(:active),html.theme--catppuccin-frappe .content kbd.button:focus:not(:active),html.theme--catppuccin-frappe .button.is-dark.is-focused:not(:active),html.theme--catppuccin-frappe .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(65,69,89,0.25)}html.theme--catppuccin-frappe .button.is-dark:active,html.theme--catppuccin-frappe .content kbd.button:active,html.theme--catppuccin-frappe .button.is-dark.is-active,html.theme--catppuccin-frappe .content kbd.button.is-active{background-color:#363a4a;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-dark[disabled],html.theme--catppuccin-frappe .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-dark,fieldset[disabled] html.theme--catppuccin-frappe .content kbd.button{background-color:#414559;border-color:#414559;box-shadow:none}html.theme--catppuccin-frappe .button.is-dark.is-inverted,html.theme--catppuccin-frappe .content kbd.button.is-inverted{background-color:#fff;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted:hover,html.theme--catppuccin-frappe .content kbd.button.is-inverted:hover,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-dark.is-inverted[disabled],html.theme--catppuccin-frappe .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-frappe .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-loading::after,html.theme--catppuccin-frappe .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-dark.is-outlined,html.theme--catppuccin-frappe .content kbd.button.is-outlined{background-color:transparent;border-color:#414559;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-outlined:hover,html.theme--catppuccin-frappe .content kbd.button.is-outlined:hover,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-dark.is-outlined:focus,html.theme--catppuccin-frappe .content kbd.button.is-outlined:focus,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-focused{background-color:#414559;border-color:#414559;color:#fff}html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #414559 #414559 !important}html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-frappe .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-dark.is-outlined[disabled],html.theme--catppuccin-frappe .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-frappe .content kbd.button.is-outlined{background-color:transparent;border-color:#414559;box-shadow:none;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#414559}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #414559 #414559 !important}html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-frappe .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-primary,html.theme--catppuccin-frappe .docstring>section>a.button.docs-sourcelink{background-color:#8caaee;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-primary:hover,html.theme--catppuccin-frappe .docstring>section>a.button.docs-sourcelink:hover,html.theme--catppuccin-frappe .button.is-primary.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#81a2ec;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-primary:focus,html.theme--catppuccin-frappe .docstring>section>a.button.docs-sourcelink:focus,html.theme--catppuccin-frappe .button.is-primary.is-focused,html.theme--catppuccin-frappe .docstring>section>a.button.is-focused.docs-sourcelink{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-primary:focus:not(:active),html.theme--catppuccin-frappe .docstring>section>a.button.docs-sourcelink:focus:not(:active),html.theme--catppuccin-frappe .button.is-primary.is-focused:not(:active),html.theme--catppuccin-frappe .docstring>section>a.button.is-focused.docs-sourcelink:not(:active){box-shadow:0 0 0 0.125em rgba(140,170,238,0.25)}html.theme--catppuccin-frappe .button.is-primary:active,html.theme--catppuccin-frappe .docstring>section>a.button.docs-sourcelink:active,html.theme--catppuccin-frappe .button.is-primary.is-active,html.theme--catppuccin-frappe .docstring>section>a.button.is-active.docs-sourcelink{background-color:#769aeb;border-color:transparent;color:#fff}html.theme--catppuccin-frappe 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.button.is-primary.is-outlined.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--catppuccin-frappe .button.is-primary.is-outlined:focus,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-focused,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-focused.docs-sourcelink{background-color:#8caaee;border-color:#8caaee;color:#fff}html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-loading::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-loading.is-hovered.docs-sourcelink::after,html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--catppuccin-frappe .button.is-primary.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-primary.is-outlined[disabled],html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-primary.is-outlined,fieldset[disabled] html.theme--catppuccin-frappe .docstring>section>a.button.is-outlined.docs-sourcelink{background-color:transparent;border-color:#8caaee;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink:hover,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-hovered.docs-sourcelink,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink:focus,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-focused,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-focused.docs-sourcelink{background-color:#fff;color:#8caaee}html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-loading.is-hovered.docs-sourcelink::after,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-loading.docs-sourcelink:focus::after,html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.is-loading.is-focused.docs-sourcelink::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined[disabled],html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-primary.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-frappe .docstring>section>a.button.is-inverted.is-outlined.docs-sourcelink{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-primary.is-light,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink{background-color:#edf2fc;color:#153a8e}html.theme--catppuccin-frappe .button.is-primary.is-light:hover,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink:hover,html.theme--catppuccin-frappe .button.is-primary.is-light.is-hovered,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.is-hovered.docs-sourcelink{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-primary.is-light:active,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.docs-sourcelink:active,html.theme--catppuccin-frappe .button.is-primary.is-light.is-active,html.theme--catppuccin-frappe .docstring>section>a.button.is-light.is-active.docs-sourcelink{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link{background-color:#8caaee;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:hover,html.theme--catppuccin-frappe .button.is-link.is-hovered{background-color:#81a2ec;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:focus,html.theme--catppuccin-frappe .button.is-link.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link:focus:not(:active),html.theme--catppuccin-frappe .button.is-link.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(140,170,238,0.25)}html.theme--catppuccin-frappe .button.is-link:active,html.theme--catppuccin-frappe .button.is-link.is-active{background-color:#769aeb;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-link[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link{background-color:#8caaee;border-color:#8caaee;box-shadow:none}html.theme--catppuccin-frappe .button.is-link.is-inverted{background-color:#fff;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted:hover,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-link.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-outlined:focus,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-focused{background-color:#8caaee;border-color:#8caaee;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #8caaee #8caaee !important}html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-link.is-outlined{background-color:transparent;border-color:#8caaee;box-shadow:none;color:#8caaee}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-link.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe 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.button.is-link.is-light.is-hovered{background-color:#e2eafb;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-link.is-light:active,html.theme--catppuccin-frappe .button.is-link.is-light.is-active{background-color:#d7e1f9;border-color:transparent;color:#153a8e}html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:hover,html.theme--catppuccin-frappe .button.is-info.is-hovered{background-color:#78c4b9;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus,html.theme--catppuccin-frappe .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info:focus:not(:active),html.theme--catppuccin-frappe .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(129,200,190,0.25)}html.theme--catppuccin-frappe .button.is-info:active,html.theme--catppuccin-frappe .button.is-info.is-active{background-color:#6fc0b5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info{background-color:#81c8be;border-color:#81c8be;box-shadow:none}html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-inverted:hover,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) 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.button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-light{background-color:#f1f9f8;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:hover,html.theme--catppuccin-frappe .button.is-info.is-light.is-hovered{background-color:#e8f5f3;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-info.is-light:active,html.theme--catppuccin-frappe .button.is-info.is-light.is-active{background-color:#dff1ef;border-color:transparent;color:#2d675f}html.theme--catppuccin-frappe .button.is-success{background-color:#a6d189;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:hover,html.theme--catppuccin-frappe .button.is-success.is-hovered{background-color:#9fcd80;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:focus,html.theme--catppuccin-frappe .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success:focus:not(:active),html.theme--catppuccin-frappe .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,209,137,0.25)}html.theme--catppuccin-frappe .button.is-success:active,html.theme--catppuccin-frappe .button.is-success.is-active{background-color:#98ca77;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success{background-color:#a6d189;border-color:#a6d189;box-shadow:none}html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-focused{background-color:#a6d189;border-color:#a6d189;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-outlined{background-color:transparent;border-color:#a6d189;box-shadow:none;color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6d189}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6d189 #a6d189 !important}html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-success.is-light{background-color:#f4f9f0;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:hover,html.theme--catppuccin-frappe .button.is-success.is-light.is-hovered{background-color:#edf6e7;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-success.is-light:active,html.theme--catppuccin-frappe .button.is-success.is-light.is-active{background-color:#e6f2de;border-color:transparent;color:#446a29}html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:hover,html.theme--catppuccin-frappe .button.is-warning.is-hovered{background-color:#e3c386;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus,html.theme--catppuccin-frappe .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning:focus:not(:active),html.theme--catppuccin-frappe .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(229,200,144,0.25)}html.theme--catppuccin-frappe .button.is-warning:active,html.theme--catppuccin-frappe .button.is-warning.is-active{background-color:#e0be7b;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning{background-color:#e5c890;border-color:#e5c890;box-shadow:none}html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-focused{background-color:#e5c890;border-color:#e5c890;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-frappe .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-outlined{background-color:transparent;border-color:#e5c890;box-shadow:none;color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#e5c890}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e5c890 #e5c890 !important}html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-warning.is-light{background-color:#fbf7ee;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:hover,html.theme--catppuccin-frappe .button.is-warning.is-light.is-hovered{background-color:#f9f2e4;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-warning.is-light:active,html.theme--catppuccin-frappe .button.is-warning.is-light.is-active{background-color:#f6edda;border-color:transparent;color:#78591c}html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:hover,html.theme--catppuccin-frappe .button.is-danger.is-hovered{background-color:#e57779;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus,html.theme--catppuccin-frappe .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger:focus:not(:active),html.theme--catppuccin-frappe .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(231,130,132,0.25)}html.theme--catppuccin-frappe .button.is-danger:active,html.theme--catppuccin-frappe .button.is-danger.is-active{background-color:#e36d6f;border-color:transparent;color:#fff}html.theme--catppuccin-frappe .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger{background-color:#e78284;border-color:#e78284;box-shadow:none}html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-frappe .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-focused{background-color:#e78284;border-color:#e78284;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-frappe .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-outlined{background-color:transparent;border-color:#e78284;box-shadow:none;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#e78284}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #e78284 #e78284 !important}html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-frappe .button.is-danger.is-light{background-color:#fceeee;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:hover,html.theme--catppuccin-frappe .button.is-danger.is-light.is-hovered{background-color:#fae3e4;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-danger.is-light:active,html.theme--catppuccin-frappe .button.is-danger.is-light.is-active{background-color:#f8d8d9;border-color:transparent;color:#9a1e20}html.theme--catppuccin-frappe .button.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-frappe .button.is-small:not(.is-rounded),html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .button.is-normal{font-size:1rem}html.theme--catppuccin-frappe .button.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .button.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .button[disabled],fieldset[disabled] html.theme--catppuccin-frappe .button{background-color:#737994;border-color:#626880;box-shadow:none;opacity:.5}html.theme--catppuccin-frappe .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-frappe .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-frappe .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-frappe .button.is-static{background-color:#292c3c;border-color:#626880;color:#838ba7;box-shadow:none;pointer-events:none}html.theme--catppuccin-frappe .button.is-rounded,html.theme--catppuccin-frappe #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--catppuccin-frappe .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-frappe .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-frappe .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-frappe .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-frappe .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-frappe .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-frappe .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-frappe .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-frappe .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-frappe .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-frappe .buttons.has-addons .button:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-frappe .buttons.has-addons .button:focus,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused,html.theme--catppuccin-frappe .buttons.has-addons .button:active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-frappe .buttons.has-addons .button:focus:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-frappe .buttons.has-addons .button:active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-frappe .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-frappe .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-frappe .buttons.is-centered{justify-content:center}html.theme--catppuccin-frappe .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-frappe .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-frappe .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--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-frappe .button.is-responsive.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-frappe .button.is-responsive,html.theme--catppuccin-frappe .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-frappe .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-frappe .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-frappe .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-frappe .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-frappe .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-frappe .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-frappe .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-frappe .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-frappe .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-frappe .content li+li{margin-top:0.25em}html.theme--catppuccin-frappe .content p:not(:last-child),html.theme--catppuccin-frappe .content dl:not(:last-child),html.theme--catppuccin-frappe .content ol:not(:last-child),html.theme--catppuccin-frappe .content ul:not(:last-child),html.theme--catppuccin-frappe .content blockquote:not(:last-child),html.theme--catppuccin-frappe .content pre:not(:last-child),html.theme--catppuccin-frappe .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-frappe .content h1,html.theme--catppuccin-frappe .content h2,html.theme--catppuccin-frappe .content h3,html.theme--catppuccin-frappe .content h4,html.theme--catppuccin-frappe .content h5,html.theme--catppuccin-frappe .content h6{color:#c6d0f5;font-weight:600;line-height:1.125}html.theme--catppuccin-frappe .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-frappe .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-frappe .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-frappe .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-frappe .content 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body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--catppuccin-frappe a.navbar-item.is-active,html.theme--catppuccin-frappe .navbar-link.is-active{color:#8caaee}html.theme--catppuccin-frappe a.navbar-item.is-active:not(:focus):not(:hover),html.theme--catppuccin-frappe .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--catppuccin-frappe .navbar-item.has-dropdown:focus .navbar-link,html.theme--catppuccin-frappe .navbar-item.has-dropdown:hover .navbar-link,html.theme--catppuccin-frappe .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--catppuccin-frappe .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--catppuccin-frappe .pagination{font-size:1rem;margin:-.25rem}html.theme--catppuccin-frappe .pagination.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.75rem}html.theme--catppuccin-frappe 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.button.is-white.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-white.is-outlined:hover,html.theme--catppuccin-latte .button.is-white.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-white.is-outlined:focus,html.theme--catppuccin-latte .button.is-white.is-outlined.is-focused{background-color:#fff;border-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .button.is-white.is-outlined.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-white.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-white.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-white.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-white.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-white.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-white.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-focused{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black:hover,html.theme--catppuccin-latte .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black:focus,html.theme--catppuccin-latte .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black:focus:not(:active),html.theme--catppuccin-latte .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--catppuccin-latte .button.is-black:active,html.theme--catppuccin-latte .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-latte .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted:hover,html.theme--catppuccin-latte .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-outlined:hover,html.theme--catppuccin-latte .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-black.is-outlined:focus,html.theme--catppuccin-latte .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:hover,html.theme--catppuccin-latte .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:focus,html.theme--catppuccin-latte .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light:focus:not(:active),html.theme--catppuccin-latte .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-latte .button.is-light:active,html.theme--catppuccin-latte .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-latte .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted:hover,html.theme--catppuccin-latte .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-outlined:hover,html.theme--catppuccin-latte .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-light.is-outlined:focus,html.theme--catppuccin-latte .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-latte .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--catppuccin-latte .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark,html.theme--catppuccin-latte .content kbd.button{background-color:#ccd0da;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:hover,html.theme--catppuccin-latte .content kbd.button:hover,html.theme--catppuccin-latte .button.is-dark.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-hovered{background-color:#c5c9d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:focus,html.theme--catppuccin-latte .content kbd.button:focus,html.theme--catppuccin-latte .button.is-dark.is-focused,html.theme--catppuccin-latte .content kbd.button.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark:focus:not(:active),html.theme--catppuccin-latte .content kbd.button:focus:not(:active),html.theme--catppuccin-latte .button.is-dark.is-focused:not(:active),html.theme--catppuccin-latte .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(204,208,218,0.25)}html.theme--catppuccin-latte .button.is-dark:active,html.theme--catppuccin-latte .content kbd.button:active,html.theme--catppuccin-latte .button.is-dark.is-active,html.theme--catppuccin-latte .content kbd.button.is-active{background-color:#bdc2cf;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark[disabled],html.theme--catppuccin-latte .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button{background-color:#ccd0da;border-color:#ccd0da;box-shadow:none}html.theme--catppuccin-latte .button.is-dark.is-inverted,html.theme--catppuccin-latte .content kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-focused{background-color:#ccd0da;border-color:#ccd0da;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-latte .button.is-dark.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-outlined{background-color:transparent;border-color:#ccd0da;box-shadow:none;color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ccd0da}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ccd0da #ccd0da !important}html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-latte .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .button.is-primary,html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink{background-color:#1e66f5;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-primary:hover,html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink:hover,html.theme--catppuccin-latte .button.is-primary.is-hovered,html.theme--catppuccin-latte .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#125ef4;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-primary:focus,html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink:focus,html.theme--catppuccin-latte .button.is-primary.is-focused,html.theme--catppuccin-latte .docstring>section>a.button.is-focused.docs-sourcelink{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-primary:focus:not(:active),html.theme--catppuccin-latte .docstring>section>a.button.docs-sourcelink:focus:not(:active),html.theme--catppuccin-latte 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.button.is-success:active,html.theme--catppuccin-latte .button.is-success.is-active{background-color:#388c26;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success{background-color:#40a02b;border-color:#40a02b;box-shadow:none}html.theme--catppuccin-latte .button.is-success.is-inverted{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted:hover,html.theme--catppuccin-latte .button.is-success.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-success.is-outlined{background-color:transparent;border-color:#40a02b;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-outlined:hover,html.theme--catppuccin-latte .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-outlined.is-focused{background-color:#40a02b;border-color:#40a02b;color:#fff}html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-outlined{background-color:transparent;border-color:#40a02b;box-shadow:none;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-focused{background-color:#fff;color:#40a02b}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #40a02b #40a02b !important}html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-success.is-light{background-color:#f1fbef;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:hover,html.theme--catppuccin-latte .button.is-success.is-light.is-hovered{background-color:#e8f8e5;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-success.is-light:active,html.theme--catppuccin-latte .button.is-success.is-light.is-active{background-color:#e0f5db;border-color:transparent;color:#40a12b}html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:hover,html.theme--catppuccin-latte .button.is-warning.is-hovered{background-color:#d4871c;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus,html.theme--catppuccin-latte .button.is-warning.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning:focus:not(:active),html.theme--catppuccin-latte .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(223,142,29,0.25)}html.theme--catppuccin-latte .button.is-warning:active,html.theme--catppuccin-latte .button.is-warning.is-active{background-color:#c8801a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning{background-color:#df8e1d;border-color:#df8e1d;box-shadow:none}html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-focused{background-color:#df8e1d;border-color:#df8e1d;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-outlined{background-color:transparent;border-color:#df8e1d;box-shadow:none;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-focused{background-color:#fff;color:#df8e1d}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #df8e1d #df8e1d !important}html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-warning.is-light{background-color:#fdf6ed;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:hover,html.theme--catppuccin-latte .button.is-warning.is-light.is-hovered{background-color:#fbf1e2;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-warning.is-light:active,html.theme--catppuccin-latte .button.is-warning.is-light.is-active{background-color:#faebd6;border-color:transparent;color:#9e6515}html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:hover,html.theme--catppuccin-latte .button.is-danger.is-hovered{background-color:#c60e36;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus,html.theme--catppuccin-latte .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger:focus:not(:active),html.theme--catppuccin-latte .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(210,15,57,0.25)}html.theme--catppuccin-latte .button.is-danger:active,html.theme--catppuccin-latte .button.is-danger.is-active{background-color:#ba0d33;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger{background-color:#d20f39;border-color:#d20f39;box-shadow:none}html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-focused{background-color:#d20f39;border-color:#d20f39;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-outlined{background-color:transparent;border-color:#d20f39;box-shadow:none;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#d20f39}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #d20f39 #d20f39 !important}html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-danger.is-light{background-color:#feecf0;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:hover,html.theme--catppuccin-latte .button.is-danger.is-light.is-hovered{background-color:#fde0e6;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-danger.is-light:active,html.theme--catppuccin-latte .button.is-danger.is-light.is-active{background-color:#fcd4dd;border-color:transparent;color:#e9113f}html.theme--catppuccin-latte .button.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-latte .button.is-small:not(.is-rounded),html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .button.is-normal{font-size:1rem}html.theme--catppuccin-latte .button.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .button.is-large{font-size:1.5rem}html.theme--catppuccin-latte .button[disabled],fieldset[disabled] html.theme--catppuccin-latte .button{background-color:#9ca0b0;border-color:#acb0be;box-shadow:none;opacity:.5}html.theme--catppuccin-latte .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-latte .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-latte .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-latte .button.is-static{background-color:#e6e9ef;border-color:#acb0be;color:#8c8fa1;box-shadow:none;pointer-events:none}html.theme--catppuccin-latte .button.is-rounded,html.theme--catppuccin-latte #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--catppuccin-latte .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-latte .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-latte .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-latte .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-latte .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-latte .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-latte .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-latte .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-latte .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-latte .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-latte .buttons.has-addons .button:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-latte .buttons.has-addons .button:focus,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused,html.theme--catppuccin-latte .buttons.has-addons .button:active,html.theme--catppuccin-latte .buttons.has-addons .button.is-active,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-latte .buttons.has-addons .button:focus:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-latte .buttons.has-addons .button:active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-latte .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-latte .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .buttons.is-centered{justify-content:center}html.theme--catppuccin-latte .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-latte .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-latte .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--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-latte .button.is-responsive.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-latte .button.is-responsive,html.theme--catppuccin-latte .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-latte .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-latte .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-latte .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-latte .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-latte .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-latte .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-latte .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-latte .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-latte .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-latte .content li+li{margin-top:0.25em}html.theme--catppuccin-latte .content p:not(:last-child),html.theme--catppuccin-latte .content dl:not(:last-child),html.theme--catppuccin-latte .content ol:not(:last-child),html.theme--catppuccin-latte .content ul:not(:last-child),html.theme--catppuccin-latte .content blockquote:not(:last-child),html.theme--catppuccin-latte .content pre:not(:last-child),html.theme--catppuccin-latte .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-latte 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.file.is-link.is-active .file-cta{background-color:#0b57ef;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-info .file-cta{background-color:#179299;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-info:hover .file-cta,html.theme--catppuccin-latte .file.is-info.is-hovered .file-cta{background-color:#15878e;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-info:focus .file-cta,html.theme--catppuccin-latte .file.is-info.is-focused .file-cta{border-color:transparent;box-shadow:0 0 0.5em rgba(23,146,153,0.25);color:#fff}html.theme--catppuccin-latte .file.is-info:active .file-cta,html.theme--catppuccin-latte .file.is-info.is-active .file-cta{background-color:#147d83;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-success .file-cta{background-color:#40a02b;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-success:hover .file-cta,html.theme--catppuccin-latte .file.is-success.is-hovered .file-cta{background-color:#3c9628;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-success:focus .file-cta,html.theme--catppuccin-latte .file.is-success.is-focused .file-cta{border-color:transparent;box-shadow:0 0 0.5em rgba(64,160,43,0.25);color:#fff}html.theme--catppuccin-latte .file.is-success:active .file-cta,html.theme--catppuccin-latte .file.is-success.is-active .file-cta{background-color:#388c26;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-warning .file-cta{background-color:#df8e1d;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-warning:hover .file-cta,html.theme--catppuccin-latte .file.is-warning.is-hovered .file-cta{background-color:#d4871c;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-warning:focus .file-cta,html.theme--catppuccin-latte .file.is-warning.is-focused .file-cta{border-color:transparent;box-shadow:0 0 0.5em rgba(223,142,29,0.25);color:#fff}html.theme--catppuccin-latte .file.is-warning:active .file-cta,html.theme--catppuccin-latte .file.is-warning.is-active .file-cta{background-color:#c8801a;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-danger .file-cta{background-color:#d20f39;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-danger:hover .file-cta,html.theme--catppuccin-latte .file.is-danger.is-hovered .file-cta{background-color:#c60e36;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-danger:focus .file-cta,html.theme--catppuccin-latte .file.is-danger.is-focused .file-cta{border-color:transparent;box-shadow:0 0 0.5em rgba(210,15,57,0.25);color:#fff}html.theme--catppuccin-latte .file.is-danger:active .file-cta,html.theme--catppuccin-latte .file.is-danger.is-active .file-cta{background-color:#ba0d33;border-color:transparent;color:#fff}html.theme--catppuccin-latte .file.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.file{font-size:.75rem}html.theme--catppuccin-latte .file.is-normal{font-size:1rem}html.theme--catppuccin-latte .file.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .file.is-medium .file-icon .fa{font-size:21px}html.theme--catppuccin-latte .file.is-large{font-size:1.5rem}html.theme--catppuccin-latte .file.is-large .file-icon .fa{font-size:28px}html.theme--catppuccin-latte .file.has-name .file-cta{border-bottom-right-radius:0;border-top-right-radius:0}html.theme--catppuccin-latte .file.has-name .file-name{border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .file.has-name.is-empty .file-cta{border-radius:.4em}html.theme--catppuccin-latte .file.has-name.is-empty .file-name{display:none}html.theme--catppuccin-latte .file.is-boxed .file-label{flex-direction:column}html.theme--catppuccin-latte .file.is-boxed .file-cta{flex-direction:column;height:auto;padding:1em 3em}html.theme--catppuccin-latte .file.is-boxed .file-name{border-width:0 1px 1px}html.theme--catppuccin-latte .file.is-boxed .file-icon{height:1.5em;width:1.5em}html.theme--catppuccin-latte .file.is-boxed .file-icon .fa{font-size:21px}html.theme--catppuccin-latte .file.is-boxed.is-small .file-icon .fa,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.is-boxed .file-icon .fa{font-size:14px}html.theme--catppuccin-latte .file.is-boxed.is-medium .file-icon .fa{font-size:28px}html.theme--catppuccin-latte .file.is-boxed.is-large .file-icon .fa{font-size:35px}html.theme--catppuccin-latte .file.is-boxed.has-name .file-cta{border-radius:.4em .4em 0 0}html.theme--catppuccin-latte .file.is-boxed.has-name .file-name{border-radius:0 0 .4em .4em;border-width:0 1px 1px}html.theme--catppuccin-latte .file.is-centered{justify-content:center}html.theme--catppuccin-latte .file.is-fullwidth .file-label{width:100%}html.theme--catppuccin-latte .file.is-fullwidth .file-name{flex-grow:1;max-width:none}html.theme--catppuccin-latte .file.is-right{justify-content:flex-end}html.theme--catppuccin-latte .file.is-right .file-cta{border-radius:0 .4em .4em 0}html.theme--catppuccin-latte .file.is-right .file-name{border-radius:.4em 0 0 .4em;border-width:1px 0 1px 1px;order:-1}html.theme--catppuccin-latte .file-label{align-items:stretch;display:flex;cursor:pointer;justify-content:flex-start;overflow:hidden;position:relative}html.theme--catppuccin-latte .file-label:hover .file-cta{background-color:#c5c9d5;color:#41445a}html.theme--catppuccin-latte .file-label:hover .file-name{border-color:#a5a9b8}html.theme--catppuccin-latte .file-label:active .file-cta{background-color:#bdc2cf;color:#41445a}html.theme--catppuccin-latte .file-label:active .file-name{border-color:#9ea2b3}html.theme--catppuccin-latte .file-input{height:100%;left:0;opacity:0;outline:none;position:absolute;top:0;width:100%}html.theme--catppuccin-latte .file-cta,html.theme--catppuccin-latte .file-name{border-color:#acb0be;border-radius:.4em;font-size:1em;padding-left:1em;padding-right:1em;white-space:nowrap}html.theme--catppuccin-latte .file-cta{background-color:#ccd0da;color:#4c4f69}html.theme--catppuccin-latte .file-name{border-color:#acb0be;border-style:solid;border-width:1px 1px 1px 0;display:block;max-width:16em;overflow:hidden;text-align:inherit;text-overflow:ellipsis}html.theme--catppuccin-latte .file-icon{align-items:center;display:flex;height:1em;justify-content:center;margin-right:.5em;width:1em}html.theme--catppuccin-latte .file-icon .fa{font-size:14px}html.theme--catppuccin-latte .label{color:#41445a;display:block;font-size:1rem;font-weight:700}html.theme--catppuccin-latte .label:not(:last-child){margin-bottom:0.5em}html.theme--catppuccin-latte .label.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.label{font-size:.75rem}html.theme--catppuccin-latte .label.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .label.is-large{font-size:1.5rem}html.theme--catppuccin-latte .help{display:block;font-size:.75rem;margin-top:0.25rem}html.theme--catppuccin-latte .help.is-white{color:#fff}html.theme--catppuccin-latte .help.is-black{color:#0a0a0a}html.theme--catppuccin-latte .help.is-light{color:#f5f5f5}html.theme--catppuccin-latte .help.is-dark,html.theme--catppuccin-latte .content kbd.help{color:#ccd0da}html.theme--catppuccin-latte .help.is-primary,html.theme--catppuccin-latte .docstring>section>a.help.docs-sourcelink{color:#1e66f5}html.theme--catppuccin-latte .help.is-link{color:#1e66f5}html.theme--catppuccin-latte .help.is-info{color:#179299}html.theme--catppuccin-latte .help.is-success{color:#40a02b}html.theme--catppuccin-latte .help.is-warning{color:#df8e1d}html.theme--catppuccin-latte .help.is-danger{color:#d20f39}html.theme--catppuccin-latte .field:not(:last-child){margin-bottom:0.75rem}html.theme--catppuccin-latte .field.has-addons{display:flex;justify-content:flex-start}html.theme--catppuccin-latte .field.has-addons .control:not(:last-child){margin-right:-1px}html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .button,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .input,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:not(:first-child):not(:last-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:not(:first-child):not(:last-child) .select select{border-radius:0}html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .button,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .input,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:first-child:not(:only-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:first-child:not(:only-child) .select select{border-bottom-right-radius:0;border-top-right-radius:0}html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .button,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .input,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control:last-child:not(:only-child) form.docs-search>input,html.theme--catppuccin-latte .field.has-addons .control:last-child:not(:only-child) .select select{border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-hovered:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-hovered:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-hovered:not([disabled]){z-index:2}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .button.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .button.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):focus,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .input.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-focused:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):active,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .input.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-active:not([disabled]),html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-active:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):focus,html.theme--catppuccin-latte .field.has-addons .control .select select.is-focused:not([disabled]),html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):active,html.theme--catppuccin-latte .field.has-addons .control .select select.is-active:not([disabled]){z-index:3}html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .button:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .button.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):focus:hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .input:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input:not([disabled]):active:hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .input.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control #documenter .docs-sidebar form.docs-search>input.is-active:not([disabled]):hover,html.theme--catppuccin-latte #documenter .docs-sidebar .field.has-addons .control form.docs-search>input.is-active:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):focus:hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-focused:not([disabled]):hover,html.theme--catppuccin-latte .field.has-addons .control .select select:not([disabled]):active:hover,html.theme--catppuccin-latte .field.has-addons .control .select select.is-active:not([disabled]):hover{z-index:4}html.theme--catppuccin-latte .field.has-addons .control.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .field.has-addons.has-addons-centered{justify-content:center}html.theme--catppuccin-latte .field.has-addons.has-addons-right{justify-content:flex-end}html.theme--catppuccin-latte .field.has-addons.has-addons-fullwidth .control{flex-grow:1;flex-shrink:0}html.theme--catppuccin-latte .field.is-grouped{display:flex;justify-content:flex-start}html.theme--catppuccin-latte .field.is-grouped>.control{flex-shrink:0}html.theme--catppuccin-latte .field.is-grouped>.control:not(:last-child){margin-bottom:0;margin-right:.75rem}html.theme--catppuccin-latte .field.is-grouped>.control.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .field.is-grouped.is-grouped-centered{justify-content:center}html.theme--catppuccin-latte .field.is-grouped.is-grouped-right{justify-content:flex-end}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline{flex-wrap:wrap}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline>.control:last-child,html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline>.control:not(:last-child){margin-bottom:0.75rem}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline:last-child{margin-bottom:-0.75rem}html.theme--catppuccin-latte .field.is-grouped.is-grouped-multiline:not(:last-child){margin-bottom:0}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .field.is-horizontal{display:flex}}html.theme--catppuccin-latte .field-label .label{font-size:inherit}@media screen and (max-width: 768px){html.theme--catppuccin-latte .field-label{margin-bottom:0.5rem}}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .field-label{flex-basis:0;flex-grow:1;flex-shrink:0;margin-right:1.5rem;text-align:right}html.theme--catppuccin-latte .field-label.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.field-label{font-size:.75rem;padding-top:0.375em}html.theme--catppuccin-latte .field-label.is-normal{padding-top:0.375em}html.theme--catppuccin-latte .field-label.is-medium{font-size:1.25rem;padding-top:0.375em}html.theme--catppuccin-latte .field-label.is-large{font-size:1.5rem;padding-top:0.375em}}html.theme--catppuccin-latte .field-body .field 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.navbar{background-color:#1e66f5;min-height:4rem;position:relative;z-index:30}html.theme--catppuccin-latte .navbar.is-white{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-latte .navbar.is-white .navbar-brand>.navbar-item,html.theme--catppuccin-latte .navbar.is-white .navbar-brand .navbar-link{color:#0a0a0a}html.theme--catppuccin-latte .navbar.is-white .navbar-brand>a.navbar-item:focus,html.theme--catppuccin-latte .navbar.is-white .navbar-brand>a.navbar-item:hover,html.theme--catppuccin-latte .navbar.is-white .navbar-brand>a.navbar-item.is-active,html.theme--catppuccin-latte .navbar.is-white .navbar-brand .navbar-link:focus,html.theme--catppuccin-latte .navbar.is-white .navbar-brand .navbar-link:hover,html.theme--catppuccin-latte .navbar.is-white .navbar-brand .navbar-link.is-active{background-color:#f2f2f2;color:#0a0a0a}html.theme--catppuccin-latte .navbar.is-white .navbar-brand .navbar-link::after{border-color:#0a0a0a}html.theme--catppuccin-latte .navbar.is-white .navbar-burger{color:#0a0a0a}@media screen and (min-width: 1056px){html.theme--catppuccin-latte .navbar.is-white .navbar-start>.navbar-item,html.theme--catppuccin-latte .navbar.is-white .navbar-start .navbar-link,html.theme--catppuccin-latte .navbar.is-white .navbar-end>.navbar-item,html.theme--catppuccin-latte .navbar.is-white .navbar-end .navbar-link{color:#0a0a0a}html.theme--catppuccin-latte .navbar.is-white .navbar-start>a.navbar-item:focus,html.theme--catppuccin-latte .navbar.is-white .navbar-start>a.navbar-item:hover,html.theme--catppuccin-latte .navbar.is-white .navbar-start>a.navbar-item.is-active,html.theme--catppuccin-latte .navbar.is-white .navbar-start .navbar-link:focus,html.theme--catppuccin-latte .navbar.is-white .navbar-start .navbar-link:hover,html.theme--catppuccin-latte .navbar.is-white .navbar-start .navbar-link.is-active,html.theme--catppuccin-latte .navbar.is-white .navbar-end>a.navbar-item:focus,html.theme--catppuccin-latte .navbar.is-white .navbar-end>a.navbar-item:hover,html.theme--catppuccin-latte .navbar.is-white .navbar-end>a.navbar-item.is-active,html.theme--catppuccin-latte .navbar.is-white .navbar-end .navbar-link:focus,html.theme--catppuccin-latte .navbar.is-white .navbar-end .navbar-link:hover,html.theme--catppuccin-latte .navbar.is-white .navbar-end .navbar-link.is-active{background-color:#f2f2f2;color:#0a0a0a}html.theme--catppuccin-latte .navbar.is-white .navbar-start .navbar-link::after,html.theme--catppuccin-latte .navbar.is-white .navbar-end .navbar-link::after{border-color:#0a0a0a}html.theme--catppuccin-latte .navbar.is-white .navbar-item.has-dropdown:focus .navbar-link,html.theme--catppuccin-latte .navbar.is-white .navbar-item.has-dropdown:hover .navbar-link,html.theme--catppuccin-latte .navbar.is-white .navbar-item.has-dropdown.is-active .navbar-link{background-color:#f2f2f2;color:#0a0a0a}html.theme--catppuccin-latte .navbar.is-white .navbar-dropdown a.navbar-item.is-active{background-color:#fff;color:#0a0a0a}}html.theme--catppuccin-latte .navbar.is-black{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-latte .navbar.is-black .navbar-brand>.navbar-item,html.theme--catppuccin-latte .navbar.is-black .navbar-brand .navbar-link{color:#fff}html.theme--catppuccin-latte .navbar.is-black .navbar-brand>a.navbar-item:focus,html.theme--catppuccin-latte .navbar.is-black .navbar-brand>a.navbar-item:hover,html.theme--catppuccin-latte .navbar.is-black .navbar-brand>a.navbar-item.is-active,html.theme--catppuccin-latte .navbar.is-black .navbar-brand .navbar-link:focus,html.theme--catppuccin-latte .navbar.is-black .navbar-brand .navbar-link:hover,html.theme--catppuccin-latte .navbar.is-black .navbar-brand .navbar-link.is-active{background-color:#000;color:#fff}html.theme--catppuccin-latte .navbar.is-black .navbar-brand .navbar-link::after{border-color:#fff}html.theme--catppuccin-latte .navbar.is-black .navbar-burger{color:#fff}@media 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.navbar.is-light{background-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .navbar.is-light .navbar-brand>.navbar-item,html.theme--catppuccin-latte .navbar.is-light .navbar-brand .navbar-link{color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .navbar.is-light .navbar-brand>a.navbar-item:focus,html.theme--catppuccin-latte .navbar.is-light .navbar-brand>a.navbar-item:hover,html.theme--catppuccin-latte .navbar.is-light .navbar-brand>a.navbar-item.is-active,html.theme--catppuccin-latte .navbar.is-light .navbar-brand .navbar-link:focus,html.theme--catppuccin-latte .navbar.is-light .navbar-brand .navbar-link:hover,html.theme--catppuccin-latte .navbar.is-light .navbar-brand .navbar-link.is-active{background-color:#e8e8e8;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .navbar.is-light .navbar-brand .navbar-link::after{border-color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .navbar.is-light .navbar-burger{color:rgba(0,0,0,0.7)}@media screen and (min-width: 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.navbar-item.is-tab{border-bottom:1px solid transparent;min-height:4rem;padding-bottom:calc(0.5rem - 1px)}html.theme--catppuccin-latte .navbar-item.is-tab:focus,html.theme--catppuccin-latte .navbar-item.is-tab:hover{background-color:rgba(0,0,0,0);border-bottom-color:#1e66f5}html.theme--catppuccin-latte .navbar-item.is-tab.is-active{background-color:rgba(0,0,0,0);border-bottom-color:#1e66f5;border-bottom-style:solid;border-bottom-width:3px;color:#1e66f5;padding-bottom:calc(0.5rem - 3px)}html.theme--catppuccin-latte .navbar-content{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .navbar-link:not(.is-arrowless){padding-right:2.5em}html.theme--catppuccin-latte .navbar-link:not(.is-arrowless)::after{border-color:#fff;margin-top:-0.375em;right:1.125em}html.theme--catppuccin-latte .navbar-dropdown{font-size:0.875rem;padding-bottom:0.5rem;padding-top:0.5rem}html.theme--catppuccin-latte .navbar-dropdown .navbar-item{padding-left:1.5rem;padding-right:1.5rem}html.theme--catppuccin-latte .navbar-divider{background-color:rgba(0,0,0,0.2);border:none;display:none;height:2px;margin:0.5rem 0}@media screen and (max-width: 1055px){html.theme--catppuccin-latte .navbar>.container{display:block}html.theme--catppuccin-latte .navbar-brand .navbar-item,html.theme--catppuccin-latte .navbar-tabs .navbar-item{align-items:center;display:flex}html.theme--catppuccin-latte .navbar-link::after{display:none}html.theme--catppuccin-latte .navbar-menu{background-color:#1e66f5;box-shadow:0 8px 16px rgba(10,10,10,0.1);padding:0.5rem 0}html.theme--catppuccin-latte .navbar-menu.is-active{display:block}html.theme--catppuccin-latte .navbar.is-fixed-bottom-touch,html.theme--catppuccin-latte .navbar.is-fixed-top-touch{left:0;position:fixed;right:0;z-index:30}html.theme--catppuccin-latte .navbar.is-fixed-bottom-touch{bottom:0}html.theme--catppuccin-latte .navbar.is-fixed-bottom-touch.has-shadow{box-shadow:0 -2px 3px rgba(10,10,10,0.1)}html.theme--catppuccin-latte 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.navbar-dropdown.is-boxed,.navbar.is-spaced html.theme--catppuccin-latte .navbar-item.is-hoverable:hover .navbar-dropdown,html.theme--catppuccin-latte .navbar-item.is-hoverable:hover .navbar-dropdown.is-boxed{opacity:1;pointer-events:auto;transform:translateY(0)}html.theme--catppuccin-latte .navbar-menu{flex-grow:1;flex-shrink:0}html.theme--catppuccin-latte .navbar-start{justify-content:flex-start;margin-right:auto}html.theme--catppuccin-latte .navbar-end{justify-content:flex-end;margin-left:auto}html.theme--catppuccin-latte .navbar-dropdown{background-color:#1e66f5;border-bottom-left-radius:8px;border-bottom-right-radius:8px;border-top:1px solid rgba(0,0,0,0.2);box-shadow:0 8px 8px rgba(10,10,10,0.1);display:none;font-size:0.875rem;left:0;min-width:100%;position:absolute;top:100%;z-index:20}html.theme--catppuccin-latte .navbar-dropdown .navbar-item{padding:0.375rem 1rem;white-space:nowrap}html.theme--catppuccin-latte .navbar-dropdown a.navbar-item{padding-right:3rem}html.theme--catppuccin-latte .navbar-dropdown a.navbar-item:focus,html.theme--catppuccin-latte .navbar-dropdown a.navbar-item:hover{background-color:rgba(0,0,0,0);color:#8c8fa1}html.theme--catppuccin-latte .navbar-dropdown a.navbar-item.is-active{background-color:rgba(0,0,0,0);color:#1e66f5}.navbar.is-spaced html.theme--catppuccin-latte .navbar-dropdown,html.theme--catppuccin-latte .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--catppuccin-latte .navbar-dropdown.is-right{left:auto;right:0}html.theme--catppuccin-latte .navbar-divider{display:block}html.theme--catppuccin-latte .navbar>.container .navbar-brand,html.theme--catppuccin-latte .container>.navbar 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body.has-spaced-navbar-fixed-top{padding-top:6rem}html.theme--catppuccin-latte html.has-spaced-navbar-fixed-bottom,html.theme--catppuccin-latte body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--catppuccin-latte a.navbar-item.is-active,html.theme--catppuccin-latte .navbar-link.is-active{color:#1e66f5}html.theme--catppuccin-latte a.navbar-item.is-active:not(:focus):not(:hover),html.theme--catppuccin-latte .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--catppuccin-latte .navbar-item.has-dropdown:focus .navbar-link,html.theme--catppuccin-latte .navbar-item.has-dropdown:hover .navbar-link,html.theme--catppuccin-latte .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--catppuccin-latte .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--catppuccin-latte .pagination{font-size:1rem;margin:-.25rem}html.theme--catppuccin-latte .pagination.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.75rem}html.theme--catppuccin-latte .pagination.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .pagination.is-large{font-size:1.5rem}html.theme--catppuccin-latte .pagination.is-rounded .pagination-previous,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.pagination .pagination-previous,html.theme--catppuccin-latte .pagination.is-rounded .pagination-next,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.pagination .pagination-next{padding-left:1em;padding-right:1em;border-radius:9999px}html.theme--catppuccin-latte .pagination.is-rounded .pagination-link,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.pagination .pagination-link{border-radius:9999px}html.theme--catppuccin-latte .pagination,html.theme--catppuccin-latte .pagination-list{align-items:center;display:flex;justify-content:center;text-align:center}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next,html.theme--catppuccin-latte .pagination-link,html.theme--catppuccin-latte .pagination-ellipsis{font-size:1em;justify-content:center;margin:.25rem;padding-left:.5em;padding-right:.5em;text-align:center}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next,html.theme--catppuccin-latte .pagination-link{border-color:#acb0be;color:#1e66f5;min-width:2.5em}html.theme--catppuccin-latte .pagination-previous:hover,html.theme--catppuccin-latte .pagination-next:hover,html.theme--catppuccin-latte .pagination-link:hover{border-color:#9ca0b0;color:#04a5e5}html.theme--catppuccin-latte .pagination-previous:focus,html.theme--catppuccin-latte .pagination-next:focus,html.theme--catppuccin-latte .pagination-link:focus{border-color:#9ca0b0}html.theme--catppuccin-latte .pagination-previous:active,html.theme--catppuccin-latte .pagination-next:active,html.theme--catppuccin-latte .pagination-link:active{box-shadow:inset 0 1px 2px rgba(10,10,10,0.2)}html.theme--catppuccin-latte .pagination-previous[disabled],html.theme--catppuccin-latte .pagination-previous.is-disabled,html.theme--catppuccin-latte .pagination-next[disabled],html.theme--catppuccin-latte .pagination-next.is-disabled,html.theme--catppuccin-latte .pagination-link[disabled],html.theme--catppuccin-latte .pagination-link.is-disabled{background-color:#acb0be;border-color:#acb0be;box-shadow:none;color:#616587;opacity:0.5}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next{padding-left:.75em;padding-right:.75em;white-space:nowrap}html.theme--catppuccin-latte .pagination-link.is-current{background-color:#1e66f5;border-color:#1e66f5;color:#fff}html.theme--catppuccin-latte .pagination-ellipsis{color:#9ca0b0;pointer-events:none}html.theme--catppuccin-latte .pagination-list{flex-wrap:wrap}html.theme--catppuccin-latte .pagination-list li{list-style:none}@media screen and (max-width: 768px){html.theme--catppuccin-latte .pagination{flex-wrap:wrap}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .pagination-list li{flex-grow:1;flex-shrink:1}}@media screen and (min-width: 769px),print{html.theme--catppuccin-latte .pagination-list{flex-grow:1;flex-shrink:1;justify-content:flex-start;order:1}html.theme--catppuccin-latte .pagination-previous,html.theme--catppuccin-latte .pagination-next,html.theme--catppuccin-latte .pagination-link,html.theme--catppuccin-latte .pagination-ellipsis{margin-bottom:0;margin-top:0}html.theme--catppuccin-latte .pagination-previous{order:2}html.theme--catppuccin-latte .pagination-next{order:3}html.theme--catppuccin-latte .pagination{justify-content:space-between;margin-bottom:0;margin-top:0}html.theme--catppuccin-latte 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.panel-heading{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-latte .panel.is-black .panel-tabs a.is-active{border-bottom-color:#0a0a0a}html.theme--catppuccin-latte .panel.is-black .panel-block.is-active .panel-icon{color:#0a0a0a}html.theme--catppuccin-latte .panel.is-light .panel-heading{background-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .panel.is-light .panel-tabs a.is-active{border-bottom-color:#f5f5f5}html.theme--catppuccin-latte .panel.is-light .panel-block.is-active .panel-icon{color:#f5f5f5}html.theme--catppuccin-latte .panel.is-dark .panel-heading,html.theme--catppuccin-latte .content kbd.panel .panel-heading{background-color:#ccd0da;color:rgba(0,0,0,0.7)}html.theme--catppuccin-latte .panel.is-dark .panel-tabs a.is-active,html.theme--catppuccin-latte .content kbd.panel .panel-tabs a.is-active{border-bottom-color:#ccd0da}html.theme--catppuccin-latte .panel.is-dark .panel-block.is-active .panel-icon,html.theme--catppuccin-latte .content 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.panel-heading{background-color:#179299;color:#fff}html.theme--catppuccin-latte .panel.is-info .panel-tabs a.is-active{border-bottom-color:#179299}html.theme--catppuccin-latte .panel.is-info .panel-block.is-active .panel-icon{color:#179299}html.theme--catppuccin-latte .panel.is-success .panel-heading{background-color:#40a02b;color:#fff}html.theme--catppuccin-latte .panel.is-success .panel-tabs a.is-active{border-bottom-color:#40a02b}html.theme--catppuccin-latte .panel.is-success .panel-block.is-active .panel-icon{color:#40a02b}html.theme--catppuccin-latte .panel.is-warning .panel-heading{background-color:#df8e1d;color:#fff}html.theme--catppuccin-latte .panel.is-warning .panel-tabs a.is-active{border-bottom-color:#df8e1d}html.theme--catppuccin-latte .panel.is-warning .panel-block.is-active .panel-icon{color:#df8e1d}html.theme--catppuccin-latte .panel.is-danger .panel-heading{background-color:#d20f39;color:#fff}html.theme--catppuccin-latte .panel.is-danger .panel-tabs 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kbd.button.is-outlined{background-color:transparent;border-color:#363a4f;box-shadow:none;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-macchiato .content 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.button.is-info.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-focused{background-color:#8bd5ca;border-color:#8bd5ca;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-outlined{background-color:transparent;border-color:#8bd5ca;box-shadow:none;color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#8bd5ca}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #8bd5ca #8bd5ca !important}html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-info.is-light{background-color:#f0faf8;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:hover,html.theme--catppuccin-macchiato .button.is-info.is-light.is-hovered{background-color:#e7f6f4;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-info.is-light:active,html.theme--catppuccin-macchiato .button.is-info.is-light.is-active{background-color:#ddf3f0;border-color:transparent;color:#276d62}html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:hover,html.theme--catppuccin-macchiato .button.is-success.is-hovered{background-color:#9ed78c;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus,html.theme--catppuccin-macchiato .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success:focus:not(:active),html.theme--catppuccin-macchiato .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,218,149,0.25)}html.theme--catppuccin-macchiato .button.is-success:active,html.theme--catppuccin-macchiato .button.is-success.is-active{background-color:#96d382;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success{background-color:#a6da95;border-color:#a6da95;box-shadow:none}html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-focused{background-color:#a6da95;border-color:#a6da95;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-outlined{background-color:transparent;border-color:#a6da95;box-shadow:none;color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6da95}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6da95 #a6da95 !important}html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-success.is-light{background-color:#f2faf0;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:hover,html.theme--catppuccin-macchiato .button.is-success.is-light.is-hovered{background-color:#eaf6e6;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-success.is-light:active,html.theme--catppuccin-macchiato .button.is-success.is-light.is-active{background-color:#e2f3dd;border-color:transparent;color:#386e26}html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:hover,html.theme--catppuccin-macchiato .button.is-warning.is-hovered{background-color:#eccf94;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus,html.theme--catppuccin-macchiato .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning:focus:not(:active),html.theme--catppuccin-macchiato .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(238,212,159,0.25)}html.theme--catppuccin-macchiato .button.is-warning:active,html.theme--catppuccin-macchiato .button.is-warning.is-active{background-color:#eaca89;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning{background-color:#eed49f;border-color:#eed49f;box-shadow:none}html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-focused{background-color:#eed49f;border-color:#eed49f;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-macchiato .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-outlined{background-color:transparent;border-color:#eed49f;box-shadow:none;color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#eed49f}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #eed49f #eed49f !important}html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-warning.is-light{background-color:#fcf7ee;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:hover,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-hovered{background-color:#faf2e3;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-warning.is-light:active,html.theme--catppuccin-macchiato .button.is-warning.is-light.is-active{background-color:#f8eed8;border-color:transparent;color:#7e5c16}html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:hover,html.theme--catppuccin-macchiato .button.is-danger.is-hovered{background-color:#eb7c8c;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus,html.theme--catppuccin-macchiato .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger:focus:not(:active),html.theme--catppuccin-macchiato .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(237,135,150,0.25)}html.theme--catppuccin-macchiato .button.is-danger:active,html.theme--catppuccin-macchiato .button.is-danger.is-active{background-color:#ea7183;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger{background-color:#ed8796;border-color:#ed8796;box-shadow:none}html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-focused{background-color:#ed8796;border-color:#ed8796;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-outlined{background-color:transparent;border-color:#ed8796;box-shadow:none;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#ed8796}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ed8796 #ed8796 !important}html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-danger.is-light{background-color:#fcedef;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:hover,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-hovered{background-color:#fbe2e6;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-danger.is-light:active,html.theme--catppuccin-macchiato .button.is-danger.is-light.is-active{background-color:#f9d7dc;border-color:transparent;color:#971729}html.theme--catppuccin-macchiato .button.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-small:not(.is-rounded),html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .button.is-normal{font-size:1rem}html.theme--catppuccin-macchiato .button.is-medium{font-size:1.25rem}html.theme--catppuccin-macchiato .button.is-large{font-size:1.5rem}html.theme--catppuccin-macchiato .button[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button{background-color:#6e738d;border-color:#5b6078;box-shadow:none;opacity:.5}html.theme--catppuccin-macchiato .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-macchiato .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-macchiato .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-macchiato .button.is-static{background-color:#1e2030;border-color:#5b6078;color:#8087a2;box-shadow:none;pointer-events:none}html.theme--catppuccin-macchiato .button.is-rounded,html.theme--catppuccin-macchiato #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--catppuccin-macchiato .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-macchiato .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-macchiato .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-macchiato .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-macchiato .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-macchiato .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-macchiato .buttons.are-small 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.container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-macchiato .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-macchiato .content li+li{margin-top:0.25em}html.theme--catppuccin-macchiato .content p:not(:last-child),html.theme--catppuccin-macchiato .content dl:not(:last-child),html.theme--catppuccin-macchiato .content ol:not(:last-child),html.theme--catppuccin-macchiato .content ul:not(:last-child),html.theme--catppuccin-macchiato .content blockquote:not(:last-child),html.theme--catppuccin-macchiato .content pre:not(:last-child),html.theme--catppuccin-macchiato .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-macchiato .content h1,html.theme--catppuccin-macchiato .content h2,html.theme--catppuccin-macchiato .content h3,html.theme--catppuccin-macchiato .content h4,html.theme--catppuccin-macchiato .content h5,html.theme--catppuccin-macchiato .content 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ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-macchiato .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-macchiato .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-macchiato .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-macchiato .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-macchiato .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-macchiato .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-macchiato .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-macchiato .content ul ul ul{list-style-type:square}html.theme--catppuccin-macchiato .content dd{margin-left:2em}html.theme--catppuccin-macchiato .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-macchiato 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form.docs-search>input.is-active{box-shadow:0 0 0 0.125em rgba(255,255,255,0.25)}html.theme--catppuccin-macchiato .is-black.textarea,html.theme--catppuccin-macchiato .is-black.input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black{border-color:#0a0a0a}html.theme--catppuccin-macchiato .is-black.textarea:focus,html.theme--catppuccin-macchiato .is-black.input:focus,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black:focus,html.theme--catppuccin-macchiato .is-black.is-focused.textarea,html.theme--catppuccin-macchiato .is-black.is-focused.input,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-focused,html.theme--catppuccin-macchiato .is-black.textarea:active,html.theme--catppuccin-macchiato .is-black.input:active,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-black:active,html.theme--catppuccin-macchiato 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html.theme--catppuccin-mocha .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-link.is-light{background-color:#ebf3fe;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:hover,html.theme--catppuccin-mocha .button.is-link.is-light.is-hovered{background-color:#dfebfe;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-link.is-light:active,html.theme--catppuccin-mocha .button.is-link.is-light.is-active{background-color:#d3e3fd;border-color:transparent;color:#063c93}html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:hover,html.theme--catppuccin-mocha .button.is-info.is-hovered{background-color:#8adfd1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus,html.theme--catppuccin-mocha .button.is-info.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info:focus:not(:active),html.theme--catppuccin-mocha .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(148,226,213,0.25)}html.theme--catppuccin-mocha .button.is-info:active,html.theme--catppuccin-mocha .button.is-info.is-active{background-color:#80ddcd;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info{background-color:#94e2d5;border-color:#94e2d5;box-shadow:none}html.theme--catppuccin-mocha .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted:hover,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-outlined:focus,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-focused{background-color:#94e2d5;border-color:#94e2d5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #94e2d5 #94e2d5 !important}html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-outlined{background-color:transparent;border-color:#94e2d5;box-shadow:none;color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#94e2d5}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #94e2d5 #94e2d5 !important}html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-info.is-light{background-color:#effbf9;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:hover,html.theme--catppuccin-mocha .button.is-info.is-light.is-hovered{background-color:#e5f8f5;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-info.is-light:active,html.theme--catppuccin-mocha .button.is-info.is-light.is-active{background-color:#dbf5f1;border-color:transparent;color:#207466}html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:hover,html.theme--catppuccin-mocha .button.is-success.is-hovered{background-color:#9de097;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus,html.theme--catppuccin-mocha .button.is-success.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success:focus:not(:active),html.theme--catppuccin-mocha .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(166,227,161,0.25)}html.theme--catppuccin-mocha .button.is-success:active,html.theme--catppuccin-mocha .button.is-success.is-active{background-color:#93dd8d;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success{background-color:#a6e3a1;border-color:#a6e3a1;box-shadow:none}html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-focused{background-color:#a6e3a1;border-color:#a6e3a1;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-outlined{background-color:transparent;border-color:#a6e3a1;box-shadow:none;color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#a6e3a1}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #a6e3a1 #a6e3a1 !important}html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-success.is-light{background-color:#f0faef;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:hover,html.theme--catppuccin-mocha .button.is-success.is-light.is-hovered{background-color:#e7f7e5;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-success.is-light:active,html.theme--catppuccin-mocha .button.is-success.is-light.is-active{background-color:#def4dc;border-color:transparent;color:#287222}html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:hover,html.theme--catppuccin-mocha .button.is-warning.is-hovered{background-color:#f8dea3;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus,html.theme--catppuccin-mocha .button.is-warning.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning:focus:not(:active),html.theme--catppuccin-mocha .button.is-warning.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(249,226,175,0.25)}html.theme--catppuccin-mocha .button.is-warning:active,html.theme--catppuccin-mocha .button.is-warning.is-active{background-color:#f7d997;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning{background-color:#f9e2af;border-color:#f9e2af;box-shadow:none}html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-focused{background-color:#f9e2af;border-color:#f9e2af;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--catppuccin-mocha .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-outlined{background-color:transparent;border-color:#f9e2af;box-shadow:none;color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f9e2af}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f9e2af #f9e2af !important}html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-warning.is-light{background-color:#fef8ec;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:hover,html.theme--catppuccin-mocha .button.is-warning.is-light.is-hovered{background-color:#fdf4e0;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-warning.is-light:active,html.theme--catppuccin-mocha .button.is-warning.is-light.is-active{background-color:#fcf0d4;border-color:transparent;color:#8a620a}html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:hover,html.theme--catppuccin-mocha .button.is-danger.is-hovered{background-color:#f27f9f;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus,html.theme--catppuccin-mocha .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger:focus:not(:active),html.theme--catppuccin-mocha .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(243,139,168,0.25)}html.theme--catppuccin-mocha .button.is-danger:active,html.theme--catppuccin-mocha .button.is-danger.is-active{background-color:#f17497;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-danger[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger{background-color:#f38ba8;border-color:#f38ba8;box-shadow:none}html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-focused{background-color:#f38ba8;border-color:#f38ba8;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-outlined{background-color:transparent;border-color:#f38ba8;box-shadow:none;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#f38ba8}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f38ba8 #f38ba8 !important}html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-danger.is-light{background-color:#fdedf1;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:hover,html.theme--catppuccin-mocha .button.is-danger.is-light.is-hovered{background-color:#fce1e8;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-danger.is-light:active,html.theme--catppuccin-mocha .button.is-danger.is-light.is-active{background-color:#fbd5e0;border-color:transparent;color:#991036}html.theme--catppuccin-mocha .button.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--catppuccin-mocha .button.is-small:not(.is-rounded),html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .button.is-normal{font-size:1rem}html.theme--catppuccin-mocha .button.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .button.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .button[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button{background-color:#6c7086;border-color:#585b70;box-shadow:none;opacity:.5}html.theme--catppuccin-mocha .button.is-fullwidth{display:flex;width:100%}html.theme--catppuccin-mocha .button.is-loading{color:transparent !important;pointer-events:none}html.theme--catppuccin-mocha .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--catppuccin-mocha .button.is-static{background-color:#181825;border-color:#585b70;color:#7f849c;box-shadow:none;pointer-events:none}html.theme--catppuccin-mocha .button.is-rounded,html.theme--catppuccin-mocha #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--catppuccin-mocha .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--catppuccin-mocha .buttons .button{margin-bottom:0.5rem}html.theme--catppuccin-mocha .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--catppuccin-mocha .buttons:last-child{margin-bottom:-0.5rem}html.theme--catppuccin-mocha .buttons:not(:last-child){margin-bottom:1rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--catppuccin-mocha .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-mocha .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-mocha .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-mocha .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-mocha .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-mocha .buttons.has-addons .button:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-mocha .buttons.has-addons .button:focus,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused,html.theme--catppuccin-mocha .buttons.has-addons .button:active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-mocha .buttons.has-addons .button:focus:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-mocha .buttons.has-addons .button:active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-mocha .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-mocha .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-mocha .buttons.is-centered{justify-content:center}html.theme--catppuccin-mocha .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-mocha .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-mocha .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--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-mocha .button.is-responsive.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-mocha .button.is-responsive,html.theme--catppuccin-mocha .button.is-responsive.is-normal{font-size:.75rem}html.theme--catppuccin-mocha .button.is-responsive.is-medium{font-size:1rem}html.theme--catppuccin-mocha .button.is-responsive.is-large{font-size:1.25rem}}html.theme--catppuccin-mocha .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--catppuccin-mocha .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--catppuccin-mocha .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--catppuccin-mocha .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--catppuccin-mocha .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--catppuccin-mocha .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--catppuccin-mocha .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--catppuccin-mocha .content li+li{margin-top:0.25em}html.theme--catppuccin-mocha .content p:not(:last-child),html.theme--catppuccin-mocha .content dl:not(:last-child),html.theme--catppuccin-mocha .content ol:not(:last-child),html.theme--catppuccin-mocha .content ul:not(:last-child),html.theme--catppuccin-mocha .content blockquote:not(:last-child),html.theme--catppuccin-mocha .content pre:not(:last-child),html.theme--catppuccin-mocha .content table:not(:last-child){margin-bottom:1em}html.theme--catppuccin-mocha .content h1,html.theme--catppuccin-mocha .content h2,html.theme--catppuccin-mocha .content h3,html.theme--catppuccin-mocha .content h4,html.theme--catppuccin-mocha .content h5,html.theme--catppuccin-mocha .content h6{color:#cdd6f4;font-weight:600;line-height:1.125}html.theme--catppuccin-mocha .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-mocha .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-mocha .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-mocha .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-mocha .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-mocha .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-mocha .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-mocha .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-mocha .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-mocha .content blockquote{background-color:#181825;border-left:5px solid #585b70;padding:1.25em 1.5em}html.theme--catppuccin-mocha .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-mocha .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-mocha .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-mocha .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-mocha .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-mocha .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-mocha .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-mocha .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-mocha .content ul ul ul{list-style-type:square}html.theme--catppuccin-mocha .content dd{margin-left:2em}html.theme--catppuccin-mocha .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-mocha .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-mocha .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-mocha .content figure img{display:inline-block}html.theme--catppuccin-mocha .content figure figcaption{font-style:italic}html.theme--catppuccin-mocha .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-mocha .content sup,html.theme--catppuccin-mocha .content sub{font-size:75%}html.theme--catppuccin-mocha .content table{width:100%}html.theme--catppuccin-mocha .content table td,html.theme--catppuccin-mocha .content table th{border:1px solid #585b70;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-mocha .content table th{color:#b8c5ef}html.theme--catppuccin-mocha .content table th:not([align]){text-align:inherit}html.theme--catppuccin-mocha .content table thead td,html.theme--catppuccin-mocha .content table thead th{border-width:0 0 2px;color:#b8c5ef}html.theme--catppuccin-mocha .content table tfoot td,html.theme--catppuccin-mocha .content table tfoot th{border-width:2px 0 0;color:#b8c5ef}html.theme--catppuccin-mocha .content table tbody tr:last-child td,html.theme--catppuccin-mocha .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-mocha .content .tabs li+li{margin-top:0}html.theme--catppuccin-mocha .content.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-mocha .content.is-normal{font-size:1rem}html.theme--catppuccin-mocha .content.is-medium{font-size:1.25rem}html.theme--catppuccin-mocha .content.is-large{font-size:1.5rem}html.theme--catppuccin-mocha .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-mocha .icon.is-small,html.theme--catppuccin-mocha #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-mocha .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-mocha .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-mocha .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-mocha .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-mocha .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-mocha .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-mocha div.icon-text{display:flex}html.theme--catppuccin-mocha .image,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-mocha .image img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-mocha .image img.is-rounded,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-mocha .image.is-fullwidth,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-mocha .image.is-square img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-mocha .image.is-square .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-mocha .image.is-1by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar 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.has-ratio,html.theme--catppuccin-mocha .image.is-5by3 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-mocha .image.is-5by3 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-mocha .image.is-16by9 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-mocha .image.is-16by9 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-mocha .image.is-2by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-mocha .image.is-2by1 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-mocha .image.is-3by1 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-mocha 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img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-mocha .image.is-3by5 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--catppuccin-mocha .image.is-9by16 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--catppuccin-mocha .image.is-9by16 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--catppuccin-mocha .image.is-1by2 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--catppuccin-mocha .image.is-1by2 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--catppuccin-mocha .image.is-1by3 img,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--catppuccin-mocha .image.is-1by3 .has-ratio,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by3 .has-ratio{height:100%;width:100%}html.theme--catppuccin-mocha .image.is-square,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-square,html.theme--catppuccin-mocha .image.is-1by1,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-1by1{padding-top:100%}html.theme--catppuccin-mocha .image.is-5by4,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by4{padding-top:80%}html.theme--catppuccin-mocha .image.is-4by3,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-4by3{padding-top:75%}html.theme--catppuccin-mocha .image.is-3by2,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by2{padding-top:66.6666%}html.theme--catppuccin-mocha .image.is-5by3,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-5by3{padding-top:60%}html.theme--catppuccin-mocha .image.is-16by9,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-16by9{padding-top:56.25%}html.theme--catppuccin-mocha .image.is-2by1,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by1{padding-top:50%}html.theme--catppuccin-mocha .image.is-3by1,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by1{padding-top:33.3333%}html.theme--catppuccin-mocha .image.is-4by5,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-4by5{padding-top:125%}html.theme--catppuccin-mocha .image.is-3by4,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by4{padding-top:133.3333%}html.theme--catppuccin-mocha .image.is-2by3,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-2by3{padding-top:150%}html.theme--catppuccin-mocha .image.is-3by5,html.theme--catppuccin-mocha #documenter .docs-sidebar .docs-logo>img.is-3by5{padding-top:166.6666%}html.theme--catppuccin-mocha .image.is-9by16,html.theme--catppuccin-mocha #documenter 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.button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:hover,html.theme--documenter-dark .button.is-light.is-hovered{background-color:#e5eaec;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus,html.theme--documenter-dark .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus:not(:active),html.theme--documenter-dark .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(236,240,241,0.25)}html.theme--documenter-dark .button.is-light:active,html.theme--documenter-dark .button.is-light.is-active{background-color:#dde4e6;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:#ecf0f1;box-shadow:none}html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-outlined.is-focused{background-color:#ecf0f1;border-color:#ecf0f1;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent 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 .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-dark,html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:hover,html.theme--documenter-dark .content kbd.button:hover,html.theme--documenter-dark .button.is-dark.is-hovered,html.theme--documenter-dark .content kbd.button.is-hovered{background-color:#232829;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus,html.theme--documenter-dark .content kbd.button:focus,html.theme--documenter-dark .button.is-dark.is-focused,html.theme--documenter-dark .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus:not(:active),html.theme--documenter-dark .content kbd.button:focus:not(:active),html.theme--documenter-dark .button.is-dark.is-focused:not(:active),html.theme--documenter-dark .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(40,47,47,0.25)}html.theme--documenter-dark .button.is-dark:active,html.theme--documenter-dark .content kbd.button:active,html.theme--documenter-dark .button.is-dark.is-active,html.theme--documenter-dark .content kbd.button.is-active{background-color:#1d2122;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark[disabled],html.theme--documenter-dark .content kbd.button[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark,fieldset[disabled] html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:#282f2f;box-shadow:none}html.theme--documenter-dark .button.is-dark.is-inverted,html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted:hover,html.theme--documenter-dark .content kbd.button.is-inverted:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-dark.is-inverted[disabled],html.theme--documenter-dark .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-loading::after,html.theme--documenter-dark .content kbd.button.is-loading::after{border-color:transparent transparent #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 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.docstring>section>a.button.is-outlined.is-hovered.docs-sourcelink,html.theme--documenter-dark .button.is-primary.is-outlined:focus,html.theme--documenter-dark .docstring>section>a.button.is-outlined.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-outlined.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-focused.docs-sourcelink{background-color:#375a7f;border-color:#375a7f;color:#fff}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink::after{border-color:transparent transparent #375a7f #375a7f !important}html.theme--documenter-dark .button.is-primary.is-outlined.is-loading:hover::after,html.theme--documenter-dark .docstring>section>a.button.is-outlined.is-loading.docs-sourcelink:hover::after,html.theme--documenter-dark .button.is-primary.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .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 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.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 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.button.is-info.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-focused{background-color:#fff;color:#3c5dcd}html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #3c5dcd #3c5dcd !important}html.theme--documenter-dark .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark 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.button.is-success.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#259a12}html.theme--documenter-dark .button.is-success.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-success.is-outlined{background-color:transparent;border-color:#259a12;color:#259a12}html.theme--documenter-dark .button.is-success.is-outlined:hover,html.theme--documenter-dark .button.is-success.is-outlined.is-hovered,html.theme--documenter-dark .button.is-success.is-outlined:focus,html.theme--documenter-dark .button.is-success.is-outlined.is-focused{background-color:#259a12;border-color:#259a12;color:#fff}html.theme--documenter-dark .button.is-success.is-outlined.is-loading::after{border-color:transparent transparent #259a12 #259a12 !important}html.theme--documenter-dark .button.is-success.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-success.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-success.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-success.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-success.is-outlined{background-color:transparent;border-color:#259a12;box-shadow:none;color:#259a12}html.theme--documenter-dark .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-focused{background-color:#fff;color:#259a12}html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-success.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #259a12 #259a12 !important}html.theme--documenter-dark .button.is-success.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-success.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-success.is-light{background-color:#effded;color:#2ec016}html.theme--documenter-dark .button.is-success.is-light:hover,html.theme--documenter-dark 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rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-outlined{background-color:transparent;border-color:#f4c72f;box-shadow:none;color:#f4c72f}html.theme--documenter-dark .button.is-warning.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-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:rgba(0,0,0,0.7);color:#f4c72f}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 .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f4c72f #f4c72f !important}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-warning.is-light{background-color:#fefaec;color:#8c6e07}html.theme--documenter-dark .button.is-warning.is-light:hover,html.theme--documenter-dark .button.is-warning.is-light.is-hovered{background-color:#fdf7e0;border-color:transparent;color:#8c6e07}html.theme--documenter-dark .button.is-warning.is-light:active,html.theme--documenter-dark .button.is-warning.is-light.is-active{background-color:#fdf3d3;border-color:transparent;color:#8c6e07}html.theme--documenter-dark .button.is-danger{background-color:#cb3c33;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger:hover,html.theme--documenter-dark .button.is-danger.is-hovered{background-color:#c13930;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger:focus,html.theme--documenter-dark .button.is-danger.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger:focus:not(:active),html.theme--documenter-dark .button.is-danger.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(203,60,51,0.25)}html.theme--documenter-dark .button.is-danger:active,html.theme--documenter-dark .button.is-danger.is-active{background-color:#b7362e;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-danger[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger{background-color:#cb3c33;border-color:#cb3c33;box-shadow:none}html.theme--documenter-dark .button.is-danger.is-inverted{background-color:#fff;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-inverted:hover,html.theme--documenter-dark .button.is-danger.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-danger.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-danger.is-outlined{background-color:transparent;border-color:#cb3c33;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-outlined:hover,html.theme--documenter-dark .button.is-danger.is-outlined.is-hovered,html.theme--documenter-dark 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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:#fbefef;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#f8e6e5;border-color:transparent;color:#c03930}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#f6dcda;border-color:transparent;color:#c03930}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 + 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.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 thead td,html.theme--documenter-dark .content table thead th{border-width:0 0 2px;color:#f2f2f2}html.theme--documenter-dark .content table tfoot td,html.theme--documenter-dark .content table tfoot th{border-width:2px 0 0;color:#f2f2f2}html.theme--documenter-dark .content table tbody tr:last-child td,html.theme--documenter-dark .content table tbody tr:last-child th{border-bottom-width:0}html.theme--documenter-dark .content .tabs li+li{margin-top:0}html.theme--documenter-dark .content.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--documenter-dark .content.is-normal{font-size:1rem}html.theme--documenter-dark .content.is-medium{font-size:1.25rem}html.theme--documenter-dark .content.is-large{font-size:1.5rem}html.theme--documenter-dark 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img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--documenter-dark .image img.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--documenter-dark .image.is-fullwidth,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--documenter-dark .image.is-square img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--documenter-dark .image.is-square .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--documenter-dark .image.is-1by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--documenter-dark .image.is-1by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--documenter-dark .image.is-5by4 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.docs-logo>img.is-3by1{padding-top:33.3333%}html.theme--documenter-dark .image.is-4by5,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by5{padding-top:125%}html.theme--documenter-dark .image.is-3by4,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by4{padding-top:133.3333%}html.theme--documenter-dark .image.is-2by3,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by3{padding-top:150%}html.theme--documenter-dark .image.is-3by5,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by5{padding-top:166.6666%}html.theme--documenter-dark .image.is-9by16,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-9by16{padding-top:177.7777%}html.theme--documenter-dark .image.is-1by2,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by2{padding-top:200%}html.theme--documenter-dark .image.is-1by3,html.theme--documenter-dark #documenter .docs-sidebar 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Skip to content

Jet Reconstruction Examples

The Jet Reconstruction package has a number of example files that show how to usage.

Note: because of extra dependencies in these scripts, one must use the Project.toml file in the examples directory.

jetreco.jl

This is a basic jet reconstruction example that shows how to call the package to perform a jet reconstruction, with different algorithms and (optionally) strategy, producing exclusive and inclusive jet selections.

sh
julia --project=. examples/jetreco.jl --maxevents=100 --strategy=N2Plain test/data/events.hepmc3
+...
+julia --project=. examples/jetreco.jl --maxevents=100 --strategy=N2Tiled test/data/events.hepmc3
+...

There are options to explicitly set the algorithm (use --help to see these).

instrumented-jetreco.jl

This is a more sophisticated example that allows performance measurements to be made of the reconstruction, as well as profiling (flamegraphs and memory profiling). Use the --help option to see usage. e.g., to extract timing performance for the AntiKt algorithm using the tiled strategy:

sh
julia --project instrumented-jetreco.jl -S N2Tiled -A AntiKt --nsamples 100 ../test/data/events.hepmc3

visualise-jets.jl

This script will produce a PNG/PDF showing the results of a jet reconstruction. This is a 3D plot where all the initial energy deposits are visualised, with colours that indicate in which final cluster the deposit ended up in.

visualise-jets.ipynb

Similar to visualise-jets.jl this notebook will produce a visualisation of jet reconstruction in the browser. This is a 3D plot where all the initial energy deposits are visualised, with colours that indicate in which final cluster the deposit ended up in.

animate-reconstruction.jl

Performs jet reconstruction and then produces and animation of the process, showing how the jets merge from their different constituents.

+ + + + \ No newline at end of file diff --git a/dev/examples/index.html b/dev/examples/index.html deleted file mode 100644 index 28b1281..0000000 --- a/dev/examples/index.html +++ /dev/null @@ -1,5 +0,0 @@ - -Examples · JetReconstruction.jl

Jet Reconstruction Examples

The Jet Reconstruction package has a number of example files that show how to usage.

Note: because of extra dependencies in these scripts, one must use the Project.toml file in the examples directory.

jetreco.jl

This is a basic jet reconstruction example that shows how to call the package to perform a jet reconstruction, with different algorithms and (optionally) strategy, producing exclusive and inclusive jet selections.

julia --project=. examples/jetreco.jl --maxevents=100 --strategy=N2Plain test/data/events.hepmc3
-...
-julia --project=. examples/jetreco.jl --maxevents=100 --strategy=N2Tiled test/data/events.hepmc3
-...

There are options to explicitly set the algorithm (use --help to see these).

instrumented-jetreco.jl

This is a more sophisticated example that allows performance measurements to be made of the reconstruction, as well as profiling (flamegraphs and memory profiling). Use the --help option to see usage. e.g., to extract timing performance for the AntiKt algorithm using the tiled strategy:

julia --project instrumented-jetreco.jl -S N2Tiled -A AntiKt --nsamples 100 ../test/data/events.hepmc3

visualise-jets.jl

This script will produce a PNG/PDF showing the results of a jet reconstruction. This is a 3D plot where all the initial energy deposits are visualised, with colours that indicate in which final cluster the deposit ended up in.

visualise-jets.ipynb

Similar to visualise-jets.jl this notebook will produce a visualisation of jet reconstruction in the browser. This is a 3D plot where all the initial energy deposits are visualised, with colours that indicate in which final cluster the deposit ended up in.

animate-reconstruction.jl

Performs jet reconstruction and then produces and animation of the process, showing how the jets merge from their different constituents.

diff --git a/dev/hashmap.json b/dev/hashmap.json new file mode 100644 index 0000000..1264fcd --- /dev/null +++ b/dev/hashmap.json @@ -0,0 +1 @@ +{"examples.md":"qH_hEGoE","index.md":"Cm9Ga1X8","lib_internal.md":"BRkM1dic","lib_public.md":"CLCMziN4","lib_visualisation.md":"M8alx2J7"} diff --git a/dev/index.html b/dev/index.html index 1a53b2a..b62fd2b 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,23 +1,45 @@ -Home · JetReconstruction.jl

Jet Reconstruction

This package implements sequential Jet Reconstruction (clustering) algorithms, which are used in high-energy physics as part of event reconstruction for $pp$ and $e^+e^-$ colliders.

Algorithms

Algorithms used are based on the C++ FastJet package (https://fastjet.fr, hep-ph/0512210, arXiv:1111.6097), reimplemented natively in Julia.

The algorithms include $\text{anti}-{k}_\text{T}$, Cambridge/Aachen and inclusive $k_\text{T}$.

Reconstruction Interface

The main interface for reconstruction is jet_reconstruct, called as, e.g.,

jet_reconstruct(particles; p = -1, R = 1.0)

Where particles is a collection of 4-vector objects to reconstruct.

The object returned is a ClusterSequence, which internally tracks all merge steps.

Strategy

Three strategies are available for the different algorithms:

Strategy NameNotesInterface
RecoStrategy.BestDynamically switch strategy based on input particle densityjet_reconstruct
RecoStrategy.N2PlainGlobal matching of particles at each interation (works well for low $N$)plain_jet_reconstruct
RecoStrategy.N2TiledUse tiles of radius $R$ to limit search space (works well for higher $N$)tiled_jet_reconstruct

Generally one can use the jet_reconstruct interface, shown above, as the Best strategy safely as the overhead is extremely low. That interface supports a strategy option to switch to a different option.

Another option, if one wishes to use a specific strategy, is to call that strategy's interface directly, e.g.,

# For N2Plain strategy called directly
-plain_jet_reconstruct(particles::Vector{T}; p = -1, R = 1.0, recombine = +)

Note that there is no strategy option in these interfaces.

Inclusive and Exclusive Selections

To obtain final jets both inclusive ($p_T$ cut) and exclusive ($n_{jets}$ or $d_{ij}$ cut) selections are supported:

Sorting

Sorting vectors is trivial in Julia, no special sorting methods are provided. As an example, to sort exclusive jets of $>5.0$ (usually GeV, depending on your EDM) from highest energy to lowest:

sorted_jets = sort!(inclusive_jets(cs::ClusterSequence; ptmin=5.0), 
-  by=JetReconstruction.energy, rev=true)

Plotting and Animation

illustration

To visualise the clustered jets as a 3d bar plot (see illustration above) we now use Makie.jl. See the jetsplot function in ext/JetVisualisation.jl and its documentation for more. There are two worked examples in the examples directory.

The plotting code is a package extension and will load if the one of the Makie modules is loaded in the environment.

The animatereco function will animate the reconstruction sequence, given a ClusterSequence object. See the function documentation for the many options that can be customised.

Serialisation

The package also provides methods such as loadjets, loadjets!, and savejets that one can use to save and load objects on/from disk easily in a very flexible format. See documentation for more.

Reference

Although it has been developed further since the CHEP2023 conference, the CHEP conference proceedings, 10.1051/epjconf/202429505017, should be cited if you use this package:

@article{refId0,
-    author = {{Stewart, Graeme Andrew} and {Gras, Philippe} and {Hegner, Benedikt} and {Krasnopolski, Atell}},
-    doi = {10.1051/epjconf/202429505017},
-    journal = {EPJ Web of Conf.},
-    pages = {05017},
-    title = {Polyglot Jet Finding},
-    url = {https://doi.org/10.1051/epjconf/202429505017},
-    volume = 295,
-    year = 2024,
-    eprint={2309.17309},
-    archivePrefix={arXiv},
-    primaryClass={hep-ex}
-}

The original paper on arXiv is:

@misc{stewart2023polyglot,
-      title={Polyglot Jet Finding}, 
-      author={Graeme Andrew Stewart and Philippe Gras and Benedikt Hegner and Atell Krasnopolski},
-      year={2023},
-      eprint={2309.17309},
-      archivePrefix={arXiv},
-      primaryClass={hep-ex}
-}

Code in this package is authored by:

  • Atell Krasnopolski <delta_atell@protonmail.com>
  • Graeme A Stewart <graeme.andrew.stewart@cern.ch>
  • Philippe Gras <philippe.gras@cern.ch>

and is Copyright 2022-2024 The Authors, CERN.

The code is under the MIT License.

+ + + + + Jet Reconstruction | JetReconstruction.jl + + + + + + + + + + + + + +
Skip to content

JetReconstruction.jl

Jet reconstruction (reclustering) with Julia

DocumenterVitepress

Jet Reconstruction

This package implements sequential Jet Reconstruction (clustering) algorithms, which are used in high-energy physics as part of event reconstruction for pp and e+e colliders.

Algorithms

Algorithms used are based on the C++ FastJet package (https://fastjet.fr, hep-ph/0512210, arXiv:1111.6097), reimplemented natively in Julia.

The algorithms include antikT, Cambridge/Aachen and inclusive kT.

Reconstruction Interface

The main interface for reconstruction is jet_reconstruct, called as, e.g.,

julia
jet_reconstruct(particles; p = -1, R = 1.0)

Where particles is a collection of 4-vector objects to reconstruct.

The object returned is a ClusterSequence, which internally tracks all merge steps.

Strategy

Three strategies are available for the different algorithms:

Strategy NameNotesInterface
RecoStrategy.BestDynamically switch strategy based on input particle densityjet_reconstruct
RecoStrategy.N2PlainGlobal matching of particles at each interation (works well for low N)plain_jet_reconstruct
RecoStrategy.N2TiledUse tiles of radius R to limit search space (works well for higher N)tiled_jet_reconstruct

Generally one can use the jet_reconstruct interface, shown above, as the Best strategy safely as the overhead is extremely low. That interface supports a strategy option to switch to a different option.

Another option, if one wishes to use a specific strategy, is to call that strategy's interface directly, e.g.,

julia
# For N2Plain strategy called directly
+plain_jet_reconstruct(particles::Vector{T}; p = -1, R = 1.0, recombine = +)

Note that there is no strategy option in these interfaces.

Inclusive and Exclusive Selections

To obtain final jets both inclusive (pT cut) and exclusive (njets or dij cut) selections are supported:

Sorting

Sorting vectors is trivial in Julia, no special sorting methods are provided. As an example, to sort exclusive jets of >5.0 (usually GeV, depending on your EDM) from highest energy to lowest:

julia
sorted_jets = sort!(inclusive_jets(cs::ClusterSequence; ptmin=5.0), 
+  by=JetReconstruction.energy, rev=true)

Plotting and Animation

To visualise the clustered jets as a 3d bar plot (see illustration above) we now use Makie.jl. See the jetsplot function in ext/JetVisualisation.jl and its documentation for more. There are two worked examples in the examples directory.

The plotting code is a package extension and will load if the one of the Makie modules is loaded in the environment.

The animatereco function will animate the reconstruction sequence, given a ClusterSequence object. See the function documentation for the many options that can be customised.

Serialisation

The package also provides methods such as loadjets, loadjets!, and savejets that one can use to save and load objects on/from disk easily in a very flexible format. See documentation for more.

Reference

Although it has been developed further since the CHEP2023 conference, the CHEP conference proceedings, 10.1051/epjconf/202429505017, should be cited if you use this package:

bibtex
@article{refId0,
+    author = {{Stewart, Graeme Andrew} and {Gras, Philippe} and {Hegner, Benedikt} and {Krasnopolski, Atell}},
+    doi = {10.1051/epjconf/202429505017},
+    journal = {EPJ Web of Conf.},
+    pages = {05017},
+    title = {Polyglot Jet Finding},
+    url = {https://doi.org/10.1051/epjconf/202429505017},
+    volume = 295,
+    year = 2024,
+    eprint={2309.17309},
+    archivePrefix={arXiv},
+    primaryClass={hep-ex}
+}

The original paper on arXiv is:

bibtex
@misc{stewart2023polyglot,
+      title={Polyglot Jet Finding}, 
+      author={Graeme Andrew Stewart and Philippe Gras and Benedikt Hegner and Atell Krasnopolski},
+      year={2023},
+      eprint={2309.17309},
+      archivePrefix={arXiv},
+      primaryClass={hep-ex}
+}

Code in this package is authored by:

  • Atell Krasnopolski <delta_atell@protonmail.com>

  • Graeme A Stewart <graeme.andrew.stewart@cern.ch>

  • Philippe Gras <philippe.gras@cern.ch>

and is Copyright 2022-2024 The Authors, CERN.

The code is under the MIT License.

+ + + + \ No newline at end of file diff --git a/dev/lib/internal.html b/dev/lib/internal.html new file mode 100644 index 0000000..24f74dd --- /dev/null +++ b/dev/lib/internal.html @@ -0,0 +1,29 @@ + + + + + + Jet Reconstruction Internal Documentation | JetReconstruction.jl + + + + + + + + + + + + + +
Skip to content

Jet Reconstruction Internal Documentation

Documentation for JetReconstruction.jl's internal methods and types.

N.B. no guarantee is made of stability of these interfaces or types.

Index

Public Interface

# Base.:+Method.
julia
+(j1::PseudoJet, j2::PseudoJet)

Addition operator for PseudoJet objects.

Arguments

  • j1::PseudoJet: The first PseudoJet object.

  • j2::PseudoJet: The second PseudoJet object.

Returns

A new PseudoJet object with the sum of the momenta and energy of j1 and j2.

source


# Base.copyMethod.
julia
copy(j::TiledJet)

Create a copy of a TiledJet object.

Arguments

  • j::TiledJet: The TiledJet object to be copied.

Returns

A new TiledJet object with the same attributes as the input object.

source


# Base.iterateFunction.
julia
Base.iterate(t::neighbour_tiles, state=1)

Iterate over the neighbour_tiles object, returning all the neighbour tiles for a given Cartesian tile index.

source


# Base.iterateFunction.
julia
Base.iterate(t::rightmost_tiles, state=1)

Iterate over the rightmost_tiles object, returning all the rightmost tiles for a given Cartesian tile index.

source


# Base.iterateMethod.
julia
Base.iterate(tj::TiledJet)

Iterate over a TiledJet object's linked list, walking over all jets until the end (then the next jet is invalid).

Arguments

  • tj::TiledJet: The TiledJet object to start to iterate over.

source


# Base.showMethod.
julia
show(io::IO, jet::PseudoJet)

Print a PseudoJet object to the specified IO stream.

Arguments

  • io::IO: The IO stream to which the information will be printed.

  • jet::PseudoJet: The PseudoJet object whose information will be printed.

source


# Base.tryparseMethod.
julia
Base.tryparse(E::Type{<:Enum}, str::String)

Parser that converts a string to an enum value if it exists, otherwise returns nothing.

source


# JetReconstruction.CosThetaMethod.
julia
CosTheta(p::PseudoJet)

Compute the cosine of the angle between the momentum vector p and the z-axis.

Arguments

  • p::PseudoJet: The PseudoJet object representing the momentum vector.

Returns

  • The cosine of the angle between p and the z-axis.

source


# JetReconstruction._ensure_valid_rap_phiMethod.
julia
_ensure_valid_rap_phi(p::PseudoJet)

Ensure that the rapidity and azimuthal angle of the PseudoJet p are valid. If the azimuthal angle is invalid (used as a proxy for both variables), they are set to a valid value using _set_rap_phi!.

Arguments

  • p::PseudoJet: The PseudoJet object to ensure valid rapidity and azimuthal angle for.

source


# JetReconstruction._plain_jet_reconstructMethod.
julia
_plain_jet_reconstruct(; particles::Vector{PseudoJet}, p = -1, R = 1.0, recombine = +)

This is the internal implementation of jet reconstruction using the plain algorithm. It takes a vector of particles representing the input particles and reconstructs jets based on the specified parameters. Here the particles must be of type PseudoJet.

Users of the package should use the plain_jet_reconstruct function as their entry point to this jet reconstruction.

The power value maps to specific pp jet reconstruction algorithms: -1 = AntiKt, 0 = Cambridge/Aachen, 1 = Inclusive Kt.

Arguments

  • particles: A vector of PseudoJet objects representing the input particles.

  • p=-1: The power to which the transverse momentum (pt) of each particle is raised.

  • R=1.0: The jet radius parameter.

  • recombine: The recombination function used to merge two jets. Default is + (additive recombination).

Returns

  • clusterseq: The resulting ClusterSequence object representing the reconstructed jets.

source


# JetReconstruction._set_rap_phi!Method.

_set_rap_phi!(p::PseudoJet)

Set the rapidity and azimuthal angle of the PseudoJet p.

Arguments

  • p::PseudoJet: The PseudoJet object for which to set the rapidity and azimuthal angle.

Description

This function calculates and sets the rapidity and azimuthal angle of the PseudoJet p based on its momentum components. The rapidity is calculated in a way that is insensitive to roundoff errors when the momentum components are large. If the PseudoJet represents a point with infinite rapidity, a large number is assigned to the rapidity in order to lift the degeneracy between different zero-pt momenta.

Note - the ϕ angle is calculated in the range [0, 2π).

source


# JetReconstruction._tj_diJMethod.
julia
_tj_diJ(jet)

Compute the dij metric value for a given jet.

Arguments

  • jet: The input jet.

Returns

  • The dij value for the jet.

Example

source


# JetReconstruction._tj_distMethod.
julia
_tj_dist(jetA, jetB)

Compute the geometric distance in the (y, ϕ)-plane between two jets in the TiledAlgoLL module.

Arguments

  • jetA: The first jet.

  • jetB: The second jet.

Returns

The squared distance between jetA and jetB.

Examples

source


# JetReconstruction.add_step_to_history!Method.
julia
add_step_to_history!(clusterseq::ClusterSequence, parent1, parent2, jetp_index, dij)

Add a new jet's history into the recombination sequence.

Arguments:

  • clusterseq::ClusterSequence: The cluster sequence object.

  • parent1: The index of the first parent.

  • parent2: The index of the second parent.

  • jetp_index: The index of the jet.

  • dij: The dij value.

This function adds a new HistoryElement to the history vector of the clusterseq object. The HistoryElement contains information about the parents, child, jet index, dij value, and the maximum dij value so far. It also updates the child index of the parent elements.

If the parent1 or parent2 have already been recombined, an InternalError is thrown. The jetp_index is used to update the _cluster_hist_index of the corresponding PseudoJet object.

source


# JetReconstruction.add_untagged_neighbours_to_tile_unionMethod.
julia
add_untagged_neighbours_to_tile_union(center_index, tile_union, n_near_tiles, tiling)

Adds to the vector tile_union the tiles that are in the neighbourhood of the specified center_index, including itself and whose tagged status are false - start adding from position n_near_tiles-1, and increase n_near_tiles. When a neighbour is added its tagged status is set to true.

Arguments

  • center_index: The index of the center tile.

  • tile_union: An array to store the indices of neighbouring tiles.

  • n_near_tiles: The number of neighbouring tiles.

  • tiling: The tiling object containing the tile tags.

Returns

The updated number of near tiles.

source


# JetReconstruction.detach!Method.
julia
detach!(jet::TiledJet)

Detach a TiledJet from its linked list by updating the previous and next pointers.

Arguments

  • jet::TiledJet: The TiledJet object to detach.

source


# JetReconstruction.determine_rapidity_extentMethod.
julia
determine_rapidity_extent(eta::Vector{T}) where T <: AbstractFloat

Calculate the minimum and maximum rapidities based on the input vector eta. The function determines the rapidity extent by binning the multiplicities as a function of rapidity and finding the minimum and maximum rapidities such that the edge bins contain a certain fraction (~1/4) of the busiest bin and a minimum number of particles.

This is the heuristic which is used by FastJet (inline comments are from FastJet).

Arguments

  • eta::Vector{T}: A vector of rapidity values.

Returns

  • minrap::T: The minimum rapidity value.

  • maxrap::T: The maximum rapidity value.

source


# JetReconstruction.dijMethod.
julia
dij(i, kt2_array, nn, nndist)

Compute the dij value for a given index i to its nearest neighbor. The nearest neighbor is determined from nn[i], and the metric distance to the nearest neighbor is given by the distance nndist[i] applying the lower of the kt2_array values for the two particles.ßß

Arguments

  • i: The index of the element.

  • kt2_array: An array of kt2 values.

  • nn: An array of nearest neighbors.

  • nndist: An array of nearest neighbor distances.

Returns

  • The computed dij value.

source


# JetReconstruction.distMethod.
julia
dist(i, j, rapidity_array, phi_array)

Compute the distance between points in a 2D space defined by rapidity and phi coordinates.

Arguments

  • i::Int: Index of the first point to consider (indexes into rapidity_array and phi_array).

  • j::Int: Index of the second point to consider (indexes into rapidity_array and phi_array).

  • rapidity_array::Vector{Float64}: Array of rapidity coordinates.

  • phi_array::Vector{Float64}: Array of phi coordinates.

Returns

  • distance::Float64: The distance between the two points.

source


# JetReconstruction.do_iB_recombination_step!Method.
julia
do_iB_recombination_step!(clusterseq::ClusterSequence, jet_i, diB)

Bookkeeping for recombining a jet with the beam (i.e., finalising the jet) by adding a step to the history of the cluster sequence.

Arguments

  • clusterseq::ClusterSequence: The cluster sequence object.

  • jet_i: The index of the jet.

  • diB: The diB value.

source


# JetReconstruction.do_ij_recombination_step!Function.
julia
do_ij_recombination_step!(clusterseq::ClusterSequence, jet_i, jet_j, dij, recombine=+)

Perform the bookkeeping associated with the step of recombining jet_i and jet_j (assuming a distance dij).

Arguments

  • clusterseq::ClusterSequence: The cluster sequence object.

  • jet_i: The index of the first jet to be recombined.

  • jet_j: The index of the second jet to be recombined.

  • dij: The distance between the two jets.

  • recombine=+: The recombination function to be used. Default is addition.

Returns

  • newjet_k: The index of the newly created jet.

Description

This function performs the i-j recombination step in the cluster sequence. It creates a new jet by recombining the first two jets using the specified recombination function. The new jet is then added to the cluster sequence. The function also updates the indices and history information of the new jet and sorts out the history.

source


# JetReconstruction.energyMethod.
julia
energy(p::PseudoJet)

Return the energy of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object.

Returns

  • The energy of the PseudoJet.

source


# JetReconstruction.etaMethod.
julia
eta(p::PseudoJet)

Compute the pseudorapidity (η) of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the pseudorapidity.

Returns

  • The pseudorapidity (η) of the PseudoJet.

source


# JetReconstruction.fast_findminMethod.
julia
fast_findmin(dij, n)

Find the minimum value and its index in the first n elements of the dij array. The use of @turbo macro gives a significiant performance boost.

Arguments

  • dij: An array of values.

  • n: The number of elements to consider in the dij array.

Returns

  • dij_min: The minimum value in the first n elements of the dij array.

  • best: The index of the minimum value in the dij array.

source


# JetReconstruction.find_tile_neighbours!Method.
julia
find_tile_neighbours!(tile_union, jetA, jetB, oldB, tiling)

Find the union of neighbouring tiles of jetA, jetB, and oldB and add them to the tile_union. This established the set of tiles over which searches for updated and new nearest-neighbours must be run

Arguments

  • tile_union: The tile union to which the neighbouring tiles will be added.

  • jetA: The first jet.

  • jetB: The second jet.

  • oldB: The old second jet.

  • tiling: The tiling information.

Returns

The number of neighbouring tiles added to the tile_union.

source


# JetReconstruction.geometric_distanceMethod.
julia
geometric_distance(eta1::AbstractFloat, phi1::AbstractFloat, eta2::AbstractFloat, phi2::AbstractFloat)

Compute the geometric distance between two points in the rap-phi plane.

Arguments

  • eta1::AbstractFloat: The eta coordinate of the first point.

  • phi1::AbstractFloat: The phi coordinate of the first point.

  • eta2::AbstractFloat: The eta coordinate of the second point.

  • phi2::AbstractFloat: The phi coordinate of the second point.

Returns

  • distance::Float64: The geometric distance between the two points.

source


# JetReconstruction.get_all_ancestorsMethod.
julia
get_all_ancestors(idx, cs::ClusterSequence)

Recursively finds all ancestors of a given index in a ClusterSequence object.

Arguments

  • idx: The index of the jet for which to find ancestors.

  • cs: The ClusterSequence object containing the jet history.

Returns

An array of indices representing the ancestors of the given jet.

source


# JetReconstruction.get_dij_distMethod.
julia
get_dij_dist(nn_dist, kt2_1, kt2_2, R2)

Compute the dij metric distance between two jets.

Arguments

  • nn_dist: The nearest-neighbor distance between two jets.

  • kt2_1: The squared momentum metric value of the first jet.

  • kt2_2: The squared momentum metric value of the second jet.

  • R2: The jet radius parameter squared.

Returns

The distance between the two jets.

If kt2_2 is equal to 0.0, then the first jet doesn't actually have a valid neighbour, so it's treated as a single jet adjecent to the beam.

source


# JetReconstruction.get_tileMethod.
julia
get_tile(tiling_setup::TilingDef, eta::AbstractFloat, phi::AbstractFloat)

Given a tiling_setup object, eta and phi values, this function calculates the tile indices for the given eta and phi values.

Arguments

  • tiling_setup: A TilingDef object that contains the tiling setup parameters.

  • eta: The eta value for which to calculate the tile index.

  • phi: The phi value for which to calculate the tile index.

Returns

  • ieta: The tile index along the eta direction.

  • iphi: The tile index along the phi direction.

source


# JetReconstruction.get_tile_cartesian_indicesMethod.
julia
get_tile_linear_index(tiling_setup::TilingDef, i_η::Int, i_ϕ::Int)

Compute the linear index of a tile in a tiled setup. This is much faster in this function than using the LinearIndices construct (like x100, which is bonkers, but there you go...)

Arguments

  • tiling_setup::TilingDef: The tiling setup defining the number of tiles in each dimension.

  • i_η::Int: The index of the tile in the η dimension.

  • i_ϕ::Int: The index of the tile in the ϕ dimension.

Returns

  • The linear index of the tile.

source


# JetReconstruction.initial_historyMethod.
julia
initial_history(particles)

Create an initial history for the given particles.

Arguments

  • particles: The initial vector of stable particles.

Returns

  • history: An array of HistoryElement objects.

  • Qtot: The total energy in the event.

source


# JetReconstruction.insert!Method.
julia
insert!(nextjet::TiledJet, jettomove::TiledJet)

Inserts a TiledJet object into the linked list of TiledJet objects, before the nextjet object. The jet to move can be an isolated jet, a jet from another list or a jet from the same list

Arguments

  • nextjet::TiledJet: The TiledJet object after which jettomove should be inserted.

  • jettomove::TiledJet: The TiledJet object to be inserted.

Example

source


# JetReconstruction.isvalidMethod.
julia
isvalid(t::TiledJet)

Check if a TiledJet is valid, by seeing if it is not the noTiledJet object.

Arguments

  • t::TiledJet: The TiledJet object to check.

Returns

  • Bool: true if the TiledJet object is valid, false otherwise.

source


# JetReconstruction.jet_ranksMethod.
julia
jet_ranks(clusterseq::ClusterSequence; compare_fn = JetReconstruction.pt)

Compute the ranks of jets in a given ClusterSequence object based on a specified comparison function.

Arguments

  • clusterseq::ClusterSequence: The ClusterSequence object containing the jets to rank.

  • compare_fn = JetReconstruction.pt: The comparison function used to determine the order of the jets. Defaults to JetReconstruction.pt, which compares jets based on their transverse momentum.

Returns

A dictionary mapping each jet index to its rank.

Note

This is a utility function that can be used to rank initial clusters based on a specified jet property. It can be used to assign a consistent "rank" to each reconstructed jet in the cluster sequence, which is useful for stable plotting of jet outputs.

source


# JetReconstruction.mMethod.
julia
m(p::PseudoJet)

Compute the invariant mass of a PseudoJet object. By convention if m^2 < 0, then -sqrt{(-m^2)} is returned.

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the invariant mass.

Returns

The invariant mass of the PseudoJet object.

source


# JetReconstruction.m2Method.
julia
m2(p::PseudoJet)

Calculate the invariant mass squared (m^2) of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object for which to calculate the invariant mass squared.

Returns

  • The invariant mass squared (m^2) of the PseudoJet.

source


# JetReconstruction.magMethod.
julia
mag(p::PseudoJet)

Return the magnitude of the momentum of a PseudoJet, |p|.

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the magnitude.

Returns

The magnitude of the PseudoJet object.

source


# JetReconstruction.massMethod.
julia
mass(p::PseudoJet)

Compute the invariant mass (alias for m(p)).

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the mass.

Returns

  • The mass of the PseudoJet.

source


# JetReconstruction.mass2Function.

Alias for m2 function

source


# JetReconstruction.merge_stepsMethod.
julia
merge_steps(clusterseq::ClusterSequence)

Compute the number of jet-jet merge steps in a cluster sequence. This is useful to give the number of meaningful recombination steps in a jet reconstruction sequence (beam merge steps are not counted).

Arguments

  • clusterseq::ClusterSequence: The cluster sequence object.

Returns

  • merge_steps::Int: The number of merge steps.

source


# JetReconstruction.phiMethod.
julia
phi(p::PseudoJet)

Compute the ϕ angle of a PseudoJet object p.

Note this function is a wrapper for phi_02pi(p).

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the azimuthal angle.

Returns

  • The azimuthal angle of p in the range [0, 2π).

source


# JetReconstruction.phi_02piMethod.
julia
phi_02pi(p::PseudoJet)

Compute the azimuthal angle of a PseudoJet object p in the range [0, 2π).

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the azimuthal angle.

Returns

  • The azimuthal angle of p in the range [0, 2π).

source


# JetReconstruction.ptMethod.
julia
pt(p::PseudoJet)

Compute the scalar transverse momentum (pt) of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the transverse momentum.

Returns

  • The transverse momentum (pt) of the PseudoJet.

source


# JetReconstruction.pt2Method.
julia
pt2(p::PseudoJet)

Get the squared transverse momentum of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object.

Returns

  • The squared transverse momentum of the PseudoJet.

source


# JetReconstruction.pxMethod.
julia
px(p::PseudoJet)

Return the x-component of the momentum of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object.

Returns

  • The x-component of the momentum of the PseudoJet.

source


# JetReconstruction.pyMethod.
julia
py(p::PseudoJet)

Return the y-component of the momentum of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object.

Returns

  • The y-component of the momentum of the PseudoJet.

source


# JetReconstruction.pzMethod.
julia
pz(p::PseudoJet)

Return the z-component of the momentum of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object.

Returns

  • The z-component of the momentum of the PseudoJet.

source


# JetReconstruction.rapidityMethod.
julia
rapidity(p::PseudoJet)

Compute the rapidity of a PseudoJet object.

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the rapidity.

Returns

The rapidity of the PseudoJet object.

source


# JetReconstruction.reco_stateMethod.
julia
reco_state(cs::ClusterSequence, pt_ranks; iteration=0)

This function returns the reconstruction state of a ClusterSequence object based on a given iteration number in the reconstruction.

Arguments

  • cs::ClusterSequence: The ClusterSequence object to update.

  • ranks: The ranks of the original clusters, that are inherited by peudojets

during the reconstruction process.

  • iteration=0: The iteration number to consider for updating the reconstruction state (0 represents the initial state).

  • ignore_beam_merge=true: Ignore beam merging steps in the reconstruction (which produce no change in status).

Returns

A dictionary representing a snapshot of the reconstruction state.

Details

The function starts by initializing the reconstruction state with the initial particles. Then, it walks over the iteration sequence and updates the reconstruction state based on the history of recombination and finalization/beam merger steps.

source


# JetReconstruction.rightneighboursMethod.
julia
rightneighbours(center::Int, tiling::Tiling)

Compute the indices of the right neighbors of a given center index in a tiling. This is used in the inital sweep to calculate the nearest neighbors, where the search between jets for the nearest neighbour is bi-directional, thus when a tile is considered only the right neighbours are needed to compare jet distances as the left-hand tiles have been done from that tile already.

Arguments

  • center::Int: The center index.

  • tiling::Tiling: The tiling object.

Returns

  • Surrounding: An object containing the indices of the right neighbors.

source


# JetReconstruction.set_momentum!Method.
julia
set_momentum!(j::PseudoJet, px, py, pz, E)

Set the momentum components and energy of a PseudoJet object.

Arguments

  • j::PseudoJet: The PseudoJet object to set the momentum for.

  • px: The x-component of the momentum.

  • py: The y-component of the momentum.

  • pz: The z-component of the momentum.

  • E: The energy of the particle.

source


# JetReconstruction.set_nearest_neighbours!Method.
julia
set_nearest_neighbours!(clusterseq::ClusterSequence, tiling::Tiling, tiledjets::Vector{TiledJet})

This function sets the nearest neighbor information for all jets in the tiledjets vector.

Arguments

  • clusterseq::ClusterSequence: The cluster sequence object.

  • tiling::Tiling: The tiling object.

  • tiledjets::Vector{TiledJet}: The vector of tiled jets.

Returns

  • NNs::Vector{TiledJet}: The vector of nearest neighbor jets.

  • diJ::Vector{Float64}: The vector of diJ values.

The function iterates over each tile in the tiling and sets the nearest neighbor information for each jet in the tile. It then looks for neighbor jets in the neighboring tiles and updates the nearest neighbor information accordingly. Finally, it creates the diJ table and returns the vectors of nearest neighbor jets and diJ values.

Note: The diJ values are calculated as the kt distance multiplied by R^2.

source


# JetReconstruction.setup_tilingMethod.
julia
setup_tiling(eta::Vector{T}, Rparam::AbstractFloat) where T <: AbstractFloat

This function sets up the tiling parameters for a reconstruction given a vector of rapidities eta and a radius parameter Rparam.

Arguments

  • eta::Vector{T}: A vector of rapidities.

  • Rparam::AbstractFloat: The jet radius parameter.

Returns

  • tiling_setup: A TilingDef object containing the tiling setup parameters.

Description

The function first decides the tile sizes based on the Rparam value. It then determines the number of tiles in the phi direction (n_tiles_phi) based on the tile size. Next, it determines the rapidity extent of the input eta vector and adjusts the values accordingly. Finally, it creates a TilingDef object with the calculated tiling parameters and returns it.

source


# JetReconstruction.surroundingMethod.
julia
surrounding(center::Int, tiling::Tiling)

Compute the surrounding indices of a given center index in a tiling.

Arguments

  • center::Int: The center index.

  • tiling::Tiling: The tiling object.

Returns

  • Surrounding: An object containing the surrounding indices.

source


# JetReconstruction.tile_indexMethod.
julia
tile_index(tiling_setup, eta::Float64, phi::Float64)

Compute the tile index for a given (eta, phi) coordinate.

Arguments

  • tiling_setup: The tiling setup object containing the tile size and number of tiles.

  • eta::Float64: The eta coordinate.

  • phi::Float64: The phi coordinate.

Returns

The tile index corresponding to the (eta, phi) coordinate.

source


# JetReconstruction.tiledjet_remove_from_tiles!Method.
julia
tiledjet_remove_from_tiles!(tiling, jet)

Remove a jet from the given tiling structure.

Arguments

  • tiling: The tiling structure from which the jet will be removed.

  • jet: The jet to be removed from the tiling structure.

Description

This function removes a jet from the tiling structure. It adjusts the linked list to be consistent with the removal of the jet.

source


# JetReconstruction.tiledjet_set_jetinfo!Method.
julia
tiledjet_set_jetinfo!(jet::TiledJet, clusterseq::ClusterSequence, tiling::Tiling, jets_index, R2, p)

Initialise a tiled jet from a PseudoJet (using an index into our ClusterSequence)

Arguments:

  • jet::TiledJet: The TiledJet object to set the information for.

  • clusterseq::ClusterSequence: The ClusterSequence object containing the jets.

  • tiling::Tiling: The Tiling object containing the tile information.

  • jets_index: The index of the jet in the ClusterSequence.

  • R2: The jet radius parameter squared.

  • p: The power to raise the pt2 value to.

This function sets the eta, phi, kt2, jets_index, NN_dist, NN, tile_index, previous, and next fields of the TiledJet object.

Returns:

  • nothing

source


# JetReconstruction.upd_nn_crosscheck!Method.
julia
upd_nn_crosscheck!(i, from, to, rapidity_array, phi_array, R2, nndist, nn)

Update the nearest neighbor information for a given particle index i against all particles in the range indexes from to to. The function updates the nndist and nn arrays with the nearest neighbor distance and index respectively, both for particle i and the checked particles [from:to] (hence crosscheck).

Arguments

  • i::Int: The index of the particle to update and check against.

  • from::Int: The starting index of the range of particles to check against.

  • to::Int: The ending index of the range of particles to check against.

  • rapidity_array: An array containing the rapidity values of all particles.

  • phi_array: An array containing the phi values of the all particles.

  • R2: The squared jet distance threshold for considering a particle as a neighbour.

  • nndist: The array that stores the nearest neighbor distances.

  • nn: The array that stores the nearest neighbor indices.

source


# JetReconstruction.upd_nn_nocross!Method.
julia
upd_nn_nocross!(i, from, to, rapidity_array, phi_array, R2, nndist, nn)

Update the nearest neighbor information for a given particle index i against all particles in the range indexes from to to. The function updates the nndist and nn arrays with the nearest neighbor distance and index respectively, only for particle i (hence nocross).

Arguments

  • i::Int: The index of the particle to update and check against.

  • from::Int: The starting index of the range of particles to check against.

  • to::Int: The ending index of the range of particles to check against.

  • rapidity_array: An array containing the rapidity values of all particles.

  • phi_array: An array containing the phi values of the all particles.

  • R2: The squared jet distance threshold for considering a particle as a neighbour.

  • nndist: The array that stores the nearest neighbor distances.

  • nn: The array that stores the nearest neighbor indices.

source


# JetReconstruction.upd_nn_step!Method.
julia
upd_nn_step!(i, j, k, N, Nn, kt2_array, rapidity_array, phi_array, R2, nndist, nn, nndij)

Update the nearest neighbor information after a jet merge step.

Arguments:

  • i: Index of the first particle in the last merge step.

  • j: Index of the second particle in the last merge step.

  • k: Index of the current particle for which the nearest neighbour will be updated.

  • N: Total number of particles (currently vaild array indexes are [1:N]).

  • Nn: Number of nearest neighbors to consider.

  • kt2_array: Array of transverse momentum squared values.

  • rapidity_array: Array of rapidity values.

  • phi_array: Array of azimuthal angle values.

  • R2: Distance threshold squared for nearest neighbors.

  • nndist: Array of nearest neighbor geometric distances.

  • nn: Array of nearest neighbor indices.

  • nndij: Array of metric distances between particles.

This function updates the nearest neighbor information for the current particle k by considering the distances to particles i and j. It checks if the distance between k and i is smaller than the current nearest neighbor distance for k, and updates the nearest neighbor information accordingly. It also updates the nearest neighbor information for i if the distance between k and i is smaller than the current nearest neighbor distance for i. Finally, it checks if the nearest neighbor of k is the total number of particles Nn and updates it to j if necessary.

source


# JetReconstruction.ηFunction.
julia
const η = eta

Alias for the pseudorapidity function, eta.

source


# JetReconstruction.FourMomentumType.

Interface for composite types that includes fields px, py, py, and E that represents the components of a four-momentum vector.

source


# JetReconstruction.HistoryElementType.
julia
struct HistoryElement

A struct holding a record of jet mergers and finalisations

Fields:

  • parent1: Index in history where first parent of this jet was created (NonexistentParent if this jet is an original particle)

  • parent2: Index in history where second parent of this jet was created (NonexistentParent if this jet is an original particle); BeamJet if this history entry just labels the fact that the jet has recombined with the beam)

  • child: Index in history where the current jet is recombined with another jet to form its child. It is Invalid if this jet does not further recombine.

  • jetp_index: Index in the jets vector where we will find the PseudoJet object corresponding to this jet (i.e. the jet created at this entry of the history). NB: if this element of the history corresponds to a beam recombination, then jetp_index=Invalid.

  • dij: The distance corresponding to the recombination at this stage of the clustering.

  • max_dij_so_far: The largest recombination distance seen so far in the clustering history.

source


# JetReconstruction.HistoryElementMethod.
julia
HistoryElement(jetp_index)

Constructs a HistoryElement object with the given jetp_index, used for initialising the history with original particles.

Arguments

  • jetp_index: The index of the jetp.

Returns

A HistoryElement object.

source


# JetReconstruction.JetWithAncestorsType.
julia
struct JetWithAncestors

A struct representing a jet with its origin ancestors.

Fields

  • self::PseudoJet: The PseudoJet object for this jet.

  • jetp_index::Int: The index of the jet in the corresponding cluster sequence.

  • ancestors::Set{Int}: A set of indices representing the jetp_indexes of ancestors of the jet (in the cluster sequence).

  • jet_rank::Int: The rank of the jet based on a comparison of all of the jet's ancestors

Note

This structure needs its associated cluster sequence origin to be useful.

source


# JetReconstruction.SurroundingType.
julia
struct Surrounding{N}

Structure used for iterating over neighbour tiles.

Fields

  • indices::NTuple{N, Int}: A tuple of N integers representing the indices.

source


# JetReconstruction.TiledJetType.
julia
struct TiledJet

TiledJet represents a jet in a tiled algorithm for jet reconstruction, with additional information to track the jet's position in the tiled structures.

Fields

  • id::Int: The ID of the jet.

  • eta::Float64: The rapidity of the jet.

  • phi::Float64: The azimuthal angle of the jet.

  • kt2::Float64: The transverse momentum squared of the jet.

  • NN_dist::Float64: The distance to the nearest neighbor.

  • jets_index::Int: The index of the jet in the jet array.

  • tile_index::Int: The index of the tile in the tile array.

  • dij_posn::Int: The position of this jet in the dij compact array.

  • NN::TiledJet: The nearest neighbor.

  • previous::TiledJet: The previous jet.

  • next::TiledJet: The next jet.

source


# JetReconstruction.TiledJetMethod.
julia
TiledJet(id)

Constructs a TiledJet object with the given id and initializes its properties to zero.

Arguments

  • id: The ID of the TiledJet object.

Returns

A TiledJet object with the specified id and values set to zero or noTiledJet.

source


# JetReconstruction.TilingType.
julia
struct Tiling

The Tiling struct represents a tiling configuration for jet reconstruction.

Fields

  • setup::TilingDef: The tiling definition used for the configuration.

  • tiles::Matrix{TiledJet}: A matrix of tiled jets, containing the first jet in each tile (then the linked list of the first jet is followed to get access to all jets in this tile).

  • positions::Matrix{Int}: Used to track tiles that are on the edge of ϕ array, where neighbours need to be wrapped around.

  • tags::Matrix{Bool}: The matrix of tags indicating whether a tile is valid or not (set to false initially, then true when the tile has been setup properly).

source


# JetReconstruction.TilingMethod.
julia
Tiling(setup::TilingDef)

Constructs a intial Tiling object based on the provided setup parameters.

Arguments

  • setup::TilingDef: The setup parameters for the tiling.

Returns

A Tiling object.

source


# JetReconstruction.TilingDefType.
julia
struct TilingDef

A struct representing the definition of a spcific tiling scheme.

Fields

  • _tiles_eta_min::Float64: The minimum rapidity of the tiles.

  • _tiles_eta_max::Float64: The maximum rapidity of the tiles.

  • _tile_size_eta::Float64: The size of a tile in rapidity (usually R^2).

  • _tile_size_phi::Float64: The size of a tile in phi (usually a bit more than R^2).

  • _n_tiles_eta::Int: The number of tiles across rapidity.

  • _n_tiles_phi::Int: The number of tiles across phi.

  • _n_tiles::Int: The total number of tiles.

  • _tiles_ieta_min::Int: The minimum rapidity tile index.

  • _tiles_ieta_max::Int: The maximum rapidity tile index.

Constructor

TilingDef(_tiles_eta_min, _tiles_eta_max, _tile_size_eta, _tile_size_phi,
+	_n_tiles_eta, _n_tiles_phi, _tiles_ieta_min, _tiles_ieta_max)

Constructs a TilingDef object with the given parameters.

source


# JetReconstruction.neighbour_tilesType.
julia
struct neighbour_tiles

A struct representing the neighbouring tiles.

A struct for iterating over all neighbour tiles for a given Cartesian tile index. These are the tiles above and to the right of the given tile (X=included, O=not included):

XXX
+X.X
+XXX

Note, rapidity coordinate must be in range, ϕ coordinate wraps

Fields

  • n_η::Int: Number of η tiles

  • n_ϕ::Int: Number of ϕ tiles

  • start_η::Int: Centre η tile coordinate

  • start_ϕ::Int: Centre ϕ tile coordinate

source


# JetReconstruction.rightmost_tilesType.
julia
struct rightmost_tiles

A struct for iterating over rightmost tiles for a given Cartesian tile index. These are the tiles above and to the right of the given tile (X=included, O=not included):

XXX
+O.X
+OOO

Note, rapidity coordinate must be in range, ϕ coordinate wraps

Fields

  • n_η::Int: Number of η tiles

  • n_ϕ::Int: Number of ϕ tiles

  • start_η::Int: Centre η tile coordinate

  • start_ϕ::Int: Centre ϕ tile coordinate

source


+ + + + \ No newline at end of file diff --git a/dev/lib/internal/index.html b/dev/lib/internal/index.html deleted file mode 100644 index 29388db..0000000 --- a/dev/lib/internal/index.html +++ /dev/null @@ -1,7 +0,0 @@ - -Internal API · JetReconstruction.jl

Jet Reconstruction Internal Documentation

Documentation for JetReconstruction.jl's internal methods and types.

N.B. no guarantee is made of stability of these interfaces or types.

Index

Public Interface

Base.:+Method
+(j1::PseudoJet, j2::PseudoJet)

Addition operator for PseudoJet objects.

Arguments

  • j1::PseudoJet: The first PseudoJet object.
  • j2::PseudoJet: The second PseudoJet object.

Returns

A new PseudoJet object with the sum of the momenta and energy of j1 and j2.

source
Base.copyMethod
copy(j::TiledJet)

Create a copy of a TiledJet object.

Arguments

  • j::TiledJet: The TiledJet object to be copied.

Returns

A new TiledJet object with the same attributes as the input object.

source
Base.iterateFunction
Base.iterate(t::rightmost_tiles, state=1)

Iterate over the rightmost_tiles object, returning all the rightmost tiles for a given Cartesian tile index.

source
Base.iterateFunction
Base.iterate(t::neighbour_tiles, state=1)

Iterate over the neighbour_tiles object, returning all the neighbour tiles for a given Cartesian tile index.

source
Base.iterateMethod
Base.iterate(tj::TiledJet)

Iterate over a TiledJet object's linked list, walking over all jets until the end (then the next jet is invalid).

Arguments

  • tj::TiledJet: The TiledJet object to start to iterate over.
source
Base.showMethod
show(io::IO, jet::PseudoJet)

Print a PseudoJet object to the specified IO stream.

Arguments

  • io::IO: The IO stream to which the information will be printed.
  • jet::PseudoJet: The PseudoJet object whose information will be printed.
source
Base.tryparseMethod
Base.tryparse(E::Type{<:Enum}, str::String)

Parser that converts a string to an enum value if it exists, otherwise returns nothing.

source
JetReconstruction.CosThetaMethod
CosTheta(p::PseudoJet)

Compute the cosine of the angle between the momentum vector p and the z-axis.

Arguments

  • p::PseudoJet: The PseudoJet object representing the momentum vector.

Returns

  • The cosine of the angle between p and the z-axis.
source
JetReconstruction._ensure_valid_rap_phiMethod
_ensure_valid_rap_phi(p::PseudoJet)

Ensure that the rapidity and azimuthal angle of the PseudoJet p are valid. If the azimuthal angle is invalid (used as a proxy for both variables), they are set to a valid value using _set_rap_phi!.

Arguments

  • p::PseudoJet: The PseudoJet object to ensure valid rapidity and azimuthal angle for.
source
JetReconstruction._plain_jet_reconstructMethod
_plain_jet_reconstruct(; particles::Vector{PseudoJet}, p = -1, R = 1.0, recombine = +)

This is the internal implementation of jet reconstruction using the plain algorithm. It takes a vector of particles representing the input particles and reconstructs jets based on the specified parameters. Here the particles must be of type PseudoJet.

Users of the package should use the plain_jet_reconstruct function as their entry point to this jet reconstruction.

The power value maps to specific pp jet reconstruction algorithms: -1 = AntiKt, 0 = Cambridge/Aachen, 1 = Inclusive Kt.

Arguments

  • particles: A vector of PseudoJet objects representing the input particles.
  • p=-1: The power to which the transverse momentum (pt) of each particle is raised.
  • R=1.0: The jet radius parameter.
  • recombine: The recombination function used to merge two jets. Default is + (additive recombination).

Returns

  • clusterseq: The resulting ClusterSequence object representing the reconstructed jets.
source
JetReconstruction._set_rap_phi!Method

setrap_phi!(p::PseudoJet)

Set the rapidity and azimuthal angle of the PseudoJet p.

Arguments

  • p::PseudoJet: The PseudoJet object for which to set the rapidity and azimuthal angle.

Description

This function calculates and sets the rapidity and azimuthal angle of the PseudoJet p based on its momentum components. The rapidity is calculated in a way that is insensitive to roundoff errors when the momentum components are large. If the PseudoJet represents a point with infinite rapidity, a large number is assigned to the rapidity in order to lift the degeneracy between different zero-pt momenta.

Note - the ϕ angle is calculated in the range [0, 2π).

source
JetReconstruction._tj_diJMethod
_tj_diJ(jet)

Compute the dij metric value for a given jet.

Arguments

  • jet: The input jet.

Returns

  • The dij value for the jet.

Example

source
JetReconstruction._tj_distMethod
_tj_dist(jetA, jetB)

Compute the geometric distance in the (y, ϕ)-plane between two jets in the TiledAlgoLL module.

Arguments

  • jetA: The first jet.
  • jetB: The second jet.

Returns

The squared distance between jetA and jetB.

Examples

source
JetReconstruction.add_step_to_history!Method
add_step_to_history!(clusterseq::ClusterSequence, parent1, parent2, jetp_index, dij)

Add a new jet's history into the recombination sequence.

Arguments:

  • clusterseq::ClusterSequence: The cluster sequence object.
  • parent1: The index of the first parent.
  • parent2: The index of the second parent.
  • jetp_index: The index of the jet.
  • dij: The dij value.

This function adds a new HistoryElement to the history vector of the clusterseq object. The HistoryElement contains information about the parents, child, jet index, dij value, and the maximum dij value so far. It also updates the child index of the parent elements.

If the parent1 or parent2 have already been recombined, an InternalError is thrown. The jetp_index is used to update the _cluster_hist_index of the corresponding PseudoJet object.

source
JetReconstruction.add_untagged_neighbours_to_tile_unionMethod
add_untagged_neighbours_to_tile_union(center_index, tile_union, n_near_tiles, tiling)

Adds to the vector tileunion the tiles that are in the neighbourhood of the specified centerindex, including itself and whose tagged status are false - start adding from position nneartiles-1, and increase nneartiles. When a neighbour is added its tagged status is set to true.

Arguments

  • center_index: The index of the center tile.
  • tile_union: An array to store the indices of neighbouring tiles.
  • n_near_tiles: The number of neighbouring tiles.
  • tiling: The tiling object containing the tile tags.

Returns

The updated number of near tiles.

source
JetReconstruction.detach!Method
detach!(jet::TiledJet)

Detach a TiledJet from its linked list by updating the previous and next pointers.

Arguments

  • jet::TiledJet: The TiledJet object to detach.
source
JetReconstruction.determine_rapidity_extentMethod
determine_rapidity_extent(eta::Vector{T}) where T <: AbstractFloat

Calculate the minimum and maximum rapidities based on the input vector eta. The function determines the rapidity extent by binning the multiplicities as a function of rapidity and finding the minimum and maximum rapidities such that the edge bins contain a certain fraction (~1/4) of the busiest bin and a minimum number of particles.

This is the heuristic which is used by FastJet (inline comments are from FastJet).

Arguments

  • eta::Vector{T}: A vector of rapidity values.

Returns

  • minrap::T: The minimum rapidity value.
  • maxrap::T: The maximum rapidity value.
source
JetReconstruction.dijMethod
dij(i, kt2_array, nn, nndist)

Compute the dij value for a given index i to its nearest neighbor. The nearest neighbor is determined from nn[i], and the metric distance to the nearest neighbor is given by the distance nndist[i] applying the lower of the kt2_array values for the two particles.ßß

Arguments

  • i: The index of the element.
  • kt2_array: An array of kt2 values.
  • nn: An array of nearest neighbors.
  • nndist: An array of nearest neighbor distances.

Returns

  • The computed dij value.
source
JetReconstruction.distMethod
dist(i, j, rapidity_array, phi_array)

Compute the distance between points in a 2D space defined by rapidity and phi coordinates.

Arguments

  • i::Int: Index of the first point to consider (indexes into rapidity_array and phi_array).
  • j::Int: Index of the second point to consider (indexes into rapidity_array and phi_array).
  • rapidity_array::Vector{Float64}: Array of rapidity coordinates.
  • phi_array::Vector{Float64}: Array of phi coordinates.

Returns

  • distance::Float64: The distance between the two points.
source
JetReconstruction.do_iB_recombination_step!Method
do_iB_recombination_step!(clusterseq::ClusterSequence, jet_i, diB)

Bookkeeping for recombining a jet with the beam (i.e., finalising the jet) by adding a step to the history of the cluster sequence.

Arguments

  • clusterseq::ClusterSequence: The cluster sequence object.
  • jet_i: The index of the jet.
  • diB: The diB value.
source
JetReconstruction.do_ij_recombination_step!Function
do_ij_recombination_step!(clusterseq::ClusterSequence, jet_i, jet_j, dij, recombine=+)

Perform the bookkeeping associated with the step of recombining jeti and jetj (assuming a distance dij).

Arguments

  • clusterseq::ClusterSequence: The cluster sequence object.
  • jet_i: The index of the first jet to be recombined.
  • jet_j: The index of the second jet to be recombined.
  • dij: The distance between the two jets.
  • recombine=+: The recombination function to be used. Default is addition.

Returns

  • newjet_k: The index of the newly created jet.

Description

This function performs the i-j recombination step in the cluster sequence. It creates a new jet by recombining the first two jets using the specified recombination function. The new jet is then added to the cluster sequence. The function also updates the indices and history information of the new jet and sorts out the history.

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JetReconstruction.energyMethod
energy(p::PseudoJet)

Return the energy of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object.

Returns

  • The energy of the PseudoJet.
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JetReconstruction.etaMethod
eta(p::PseudoJet)

Compute the pseudorapidity (η) of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the pseudorapidity.

Returns

  • The pseudorapidity (η) of the PseudoJet.
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JetReconstruction.fast_findminMethod
fast_findmin(dij, n)

Find the minimum value and its index in the first n elements of the dij array. The use of @turbo macro gives a significiant performance boost.

Arguments

  • dij: An array of values.
  • n: The number of elements to consider in the dij array.

Returns

  • dij_min: The minimum value in the first n elements of the dij array.
  • best: The index of the minimum value in the dij array.
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JetReconstruction.find_tile_neighbours!Method
find_tile_neighbours!(tile_union, jetA, jetB, oldB, tiling)

Find the union of neighbouring tiles of jetA, jetB, and oldB and add them to the tile_union. This established the set of tiles over which searches for updated and new nearest-neighbours must be run

Arguments

  • tile_union: The tile union to which the neighbouring tiles will be added.
  • jetA: The first jet.
  • jetB: The second jet.
  • oldB: The old second jet.
  • tiling: The tiling information.

Returns

The number of neighbouring tiles added to the tile_union.

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JetReconstruction.geometric_distanceMethod
geometric_distance(eta1::AbstractFloat, phi1::AbstractFloat, eta2::AbstractFloat, phi2::AbstractFloat)

Compute the geometric distance between two points in the rap-phi plane.

Arguments

  • eta1::AbstractFloat: The eta coordinate of the first point.
  • phi1::AbstractFloat: The phi coordinate of the first point.
  • eta2::AbstractFloat: The eta coordinate of the second point.
  • phi2::AbstractFloat: The phi coordinate of the second point.

Returns

  • distance::Float64: The geometric distance between the two points.
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JetReconstruction.get_all_ancestorsMethod
get_all_ancestors(idx, cs::ClusterSequence)

Recursively finds all ancestors of a given index in a ClusterSequence object.

Arguments

  • idx: The index of the jet for which to find ancestors.
  • cs: The ClusterSequence object containing the jet history.

Returns

An array of indices representing the ancestors of the given jet.

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JetReconstruction.get_dij_distMethod
get_dij_dist(nn_dist, kt2_1, kt2_2, R2)

Compute the dij metric distance between two jets.

Arguments

  • nn_dist: The nearest-neighbor distance between two jets.
  • kt2_1: The squared momentum metric value of the first jet.
  • kt2_2: The squared momentum metric value of the second jet.
  • R2: The jet radius parameter squared.

Returns

The distance between the two jets.

If kt2_2 is equal to 0.0, then the first jet doesn't actually have a valid neighbour, so it's treated as a single jet adjecent to the beam.

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JetReconstruction.get_tileMethod
get_tile(tiling_setup::TilingDef, eta::AbstractFloat, phi::AbstractFloat)

Given a tiling_setup object, eta and phi values, this function calculates the tile indices for the given eta and phi values.

Arguments

  • tiling_setup: A TilingDef object that contains the tiling setup parameters.
  • eta: The eta value for which to calculate the tile index.
  • phi: The phi value for which to calculate the tile index.

Returns

  • ieta: The tile index along the eta direction.
  • iphi: The tile index along the phi direction.
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JetReconstruction.get_tile_cartesian_indicesMethod
get_tile_linear_index(tiling_setup::TilingDef, i_η::Int, i_ϕ::Int)

Compute the linear index of a tile in a tiled setup. This is much faster in this function than using the LinearIndices construct (like x100, which is bonkers, but there you go...)

Arguments

  • tiling_setup::TilingDef: The tiling setup defining the number of tiles in each dimension.
  • i_η::Int: The index of the tile in the η dimension.
  • i_ϕ::Int: The index of the tile in the ϕ dimension.

Returns

  • The linear index of the tile.
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JetReconstruction.initial_historyMethod
initial_history(particles)

Create an initial history for the given particles.

Arguments

  • particles: The initial vector of stable particles.

Returns

  • history: An array of HistoryElement objects.
  • Qtot: The total energy in the event.
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JetReconstruction.insert!Method
insert!(nextjet::TiledJet, jettomove::TiledJet)

Inserts a TiledJet object into the linked list of TiledJet objects, before the nextjet object. The jet to move can be an isolated jet, a jet from another list or a jet from the same list

Arguments

  • nextjet::TiledJet: The TiledJet object after which jettomove should be inserted.
  • jettomove::TiledJet: The TiledJet object to be inserted.

Example

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JetReconstruction.isvalidMethod
isvalid(t::TiledJet)

Check if a TiledJet is valid, by seeing if it is not the noTiledJet object.

Arguments

  • t::TiledJet: The TiledJet object to check.

Returns

  • Bool: true if the TiledJet object is valid, false otherwise.
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JetReconstruction.jet_ranksMethod
jet_ranks(clusterseq::ClusterSequence; compare_fn = JetReconstruction.pt)

Compute the ranks of jets in a given ClusterSequence object based on a specified comparison function.

Arguments

  • clusterseq::ClusterSequence: The ClusterSequence object containing the jets to rank.
  • compare_fn = JetReconstruction.pt: The comparison function used to determine the order of the jets. Defaults to JetReconstruction.pt, which compares jets based on their transverse momentum.

Returns

A dictionary mapping each jet index to its rank.

Note

This is a utility function that can be used to rank initial clusters based on a specified jet property. It can be used to assign a consistent "rank" to each reconstructed jet in the cluster sequence, which is useful for stable plotting of jet outputs.

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JetReconstruction.mMethod
m(p::PseudoJet)

Compute the invariant mass of a PseudoJet object. By convention if m^2 < 0, then -sqrt{(-m^2)} is returned.

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the invariant mass.

Returns

The invariant mass of the PseudoJet object.

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JetReconstruction.m2Method
m2(p::PseudoJet)

Calculate the invariant mass squared (m^2) of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object for which to calculate the invariant mass squared.

Returns

  • The invariant mass squared (m^2) of the PseudoJet.
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JetReconstruction.magMethod
mag(p::PseudoJet)

Return the magnitude of the momentum of a PseudoJet, |p|.

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the magnitude.

Returns

The magnitude of the PseudoJet object.

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JetReconstruction.massMethod
mass(p::PseudoJet)

Compute the invariant mass (alias for m(p)).

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the mass.

Returns

  • The mass of the PseudoJet.
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JetReconstruction.merge_stepsMethod
merge_steps(clusterseq::ClusterSequence)

Compute the number of jet-jet merge steps in a cluster sequence. This is useful to give the number of meaningful recombination steps in a jet reconstruction sequence (beam merge steps are not counted).

Arguments

  • clusterseq::ClusterSequence: The cluster sequence object.

Returns

  • merge_steps::Int: The number of merge steps.
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JetReconstruction.phiMethod
phi(p::PseudoJet)

Compute the ϕ angle of a PseudoJet object p.

Note this function is a wrapper for phi_02pi(p).

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the azimuthal angle.

Returns

  • The azimuthal angle of p in the range [0, 2π).
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JetReconstruction.phi_02piMethod
phi_02pi(p::PseudoJet)

Compute the azimuthal angle of a PseudoJet object p in the range [0, 2π).

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the azimuthal angle.

Returns

  • The azimuthal angle of p in the range [0, 2π).
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JetReconstruction.ptMethod
pt(p::PseudoJet)

Compute the scalar transverse momentum (pt) of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the transverse momentum.

Returns

  • The transverse momentum (pt) of the PseudoJet.
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JetReconstruction.pt2Method
pt2(p::PseudoJet)

Get the squared transverse momentum of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object.

Returns

  • The squared transverse momentum of the PseudoJet.
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JetReconstruction.pxMethod
px(p::PseudoJet)

Return the x-component of the momentum of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object.

Returns

  • The x-component of the momentum of the PseudoJet.
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JetReconstruction.pyMethod
py(p::PseudoJet)

Return the y-component of the momentum of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object.

Returns

  • The y-component of the momentum of the PseudoJet.
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JetReconstruction.pzMethod
pz(p::PseudoJet)

Return the z-component of the momentum of a PseudoJet.

Arguments

  • p::PseudoJet: The PseudoJet object.

Returns

  • The z-component of the momentum of the PseudoJet.
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JetReconstruction.rapidityMethod
rapidity(p::PseudoJet)

Compute the rapidity of a PseudoJet object.

Arguments

  • p::PseudoJet: The PseudoJet object for which to compute the rapidity.

Returns

The rapidity of the PseudoJet object.

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JetReconstruction.reco_stateMethod
reco_state(cs::ClusterSequence, pt_ranks; iteration=0)

This function returns the reconstruction state of a ClusterSequence object based on a given iteration number in the reconstruction.

Arguments

  • cs::ClusterSequence: The ClusterSequence object to update.
  • ranks: The ranks of the original clusters, that are inherited by peudojets

during the reconstruction process.

  • iteration=0: The iteration number to consider for updating the reconstruction state (0 represents the initial state).
  • ignore_beam_merge=true: Ignore beam merging steps in the reconstruction (which produce no change in status).

Returns

A dictionary representing a snapshot of the reconstruction state.

Details

The function starts by initializing the reconstruction state with the initial particles. Then, it walks over the iteration sequence and updates the reconstruction state based on the history of recombination and finalization/beam merger steps.

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JetReconstruction.rightneighboursMethod
rightneighbours(center::Int, tiling::Tiling)

Compute the indices of the right neighbors of a given center index in a tiling. This is used in the inital sweep to calculate the nearest neighbors, where the search between jets for the nearest neighbour is bi-directional, thus when a tile is considered only the right neighbours are needed to compare jet distances as the left-hand tiles have been done from that tile already.

Arguments

  • center::Int: The center index.
  • tiling::Tiling: The tiling object.

Returns

  • Surrounding: An object containing the indices of the right neighbors.
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JetReconstruction.set_momentum!Method
set_momentum!(j::PseudoJet, px, py, pz, E)

Set the momentum components and energy of a PseudoJet object.

Arguments

  • j::PseudoJet: The PseudoJet object to set the momentum for.
  • px: The x-component of the momentum.
  • py: The y-component of the momentum.
  • pz: The z-component of the momentum.
  • E: The energy of the particle.
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JetReconstruction.set_nearest_neighbours!Method
set_nearest_neighbours!(clusterseq::ClusterSequence, tiling::Tiling, tiledjets::Vector{TiledJet})

This function sets the nearest neighbor information for all jets in the tiledjets vector.

Arguments

  • clusterseq::ClusterSequence: The cluster sequence object.
  • tiling::Tiling: The tiling object.
  • tiledjets::Vector{TiledJet}: The vector of tiled jets.

Returns

  • NNs::Vector{TiledJet}: The vector of nearest neighbor jets.
  • diJ::Vector{Float64}: The vector of diJ values.

The function iterates over each tile in the tiling and sets the nearest neighbor information for each jet in the tile. It then looks for neighbor jets in the neighboring tiles and updates the nearest neighbor information accordingly. Finally, it creates the diJ table and returns the vectors of nearest neighbor jets and diJ values.

Note: The diJ values are calculated as the kt distance multiplied by R^2.

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JetReconstruction.setup_tilingMethod
setup_tiling(eta::Vector{T}, Rparam::AbstractFloat) where T <: AbstractFloat

This function sets up the tiling parameters for a reconstruction given a vector of rapidities eta and a radius parameter Rparam.

Arguments

  • eta::Vector{T}: A vector of rapidities.
  • Rparam::AbstractFloat: The jet radius parameter.

Returns

  • tiling_setup: A TilingDef object containing the tiling setup parameters.

Description

The function first decides the tile sizes based on the Rparam value. It then determines the number of tiles in the phi direction (n_tiles_phi) based on the tile size. Next, it determines the rapidity extent of the input eta vector and adjusts the values accordingly. Finally, it creates a TilingDef object with the calculated tiling parameters and returns it.

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JetReconstruction.surroundingMethod
surrounding(center::Int, tiling::Tiling)

Compute the surrounding indices of a given center index in a tiling.

Arguments

  • center::Int: The center index.
  • tiling::Tiling: The tiling object.

Returns

  • Surrounding: An object containing the surrounding indices.
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JetReconstruction.tile_indexMethod
tile_index(tiling_setup, eta::Float64, phi::Float64)

Compute the tile index for a given (eta, phi) coordinate.

Arguments

  • tiling_setup: The tiling setup object containing the tile size and number of tiles.
  • eta::Float64: The eta coordinate.
  • phi::Float64: The phi coordinate.

Returns

The tile index corresponding to the (eta, phi) coordinate.

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JetReconstruction.tiledjet_remove_from_tiles!Method
tiledjet_remove_from_tiles!(tiling, jet)

Remove a jet from the given tiling structure.

Arguments

  • tiling: The tiling structure from which the jet will be removed.
  • jet: The jet to be removed from the tiling structure.

Description

This function removes a jet from the tiling structure. It adjusts the linked list to be consistent with the removal of the jet.

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JetReconstruction.tiledjet_set_jetinfo!Method
tiledjet_set_jetinfo!(jet::TiledJet, clusterseq::ClusterSequence, tiling::Tiling, jets_index, R2, p)

Initialise a tiled jet from a PseudoJet (using an index into our ClusterSequence)

Arguments:

  • jet::TiledJet: The TiledJet object to set the information for.
  • clusterseq::ClusterSequence: The ClusterSequence object containing the jets.
  • tiling::Tiling: The Tiling object containing the tile information.
  • jets_index: The index of the jet in the ClusterSequence.
  • R2: The jet radius parameter squared.
  • p: The power to raise the pt2 value to.

This function sets the eta, phi, kt2, jetsindex, NNdist, NN, tile_index, previous, and next fields of the TiledJet object.

Returns:

  • nothing
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JetReconstruction.upd_nn_crosscheck!Method
upd_nn_crosscheck!(i, from, to, rapidity_array, phi_array, R2, nndist, nn)

Update the nearest neighbor information for a given particle index i against all particles in the range indexes from to to. The function updates the nndist and nn arrays with the nearest neighbor distance and index respectively, both for particle i and the checked particles [from:to] (hence crosscheck).

Arguments

  • i::Int: The index of the particle to update and check against.
  • from::Int: The starting index of the range of particles to check against.
  • to::Int: The ending index of the range of particles to check against.
  • rapidity_array: An array containing the rapidity values of all particles.
  • phi_array: An array containing the phi values of the all particles.
  • R2: The squared jet distance threshold for considering a particle as a neighbour.
  • nndist: The array that stores the nearest neighbor distances.
  • nn: The array that stores the nearest neighbor indices.
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JetReconstruction.upd_nn_nocross!Method
upd_nn_nocross!(i, from, to, rapidity_array, phi_array, R2, nndist, nn)

Update the nearest neighbor information for a given particle index i against all particles in the range indexes from to to. The function updates the nndist and nn arrays with the nearest neighbor distance and index respectively, only for particle i (hence nocross).

Arguments

  • i::Int: The index of the particle to update and check against.
  • from::Int: The starting index of the range of particles to check against.
  • to::Int: The ending index of the range of particles to check against.
  • rapidity_array: An array containing the rapidity values of all particles.
  • phi_array: An array containing the phi values of the all particles.
  • R2: The squared jet distance threshold for considering a particle as a neighbour.
  • nndist: The array that stores the nearest neighbor distances.
  • nn: The array that stores the nearest neighbor indices.
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JetReconstruction.upd_nn_step!Method
upd_nn_step!(i, j, k, N, Nn, kt2_array, rapidity_array, phi_array, R2, nndist, nn, nndij)

Update the nearest neighbor information after a jet merge step.

Arguments:

  • i: Index of the first particle in the last merge step.
  • j: Index of the second particle in the last merge step.
  • k: Index of the current particle for which the nearest neighbour will be updated.
  • N: Total number of particles (currently vaild array indexes are [1:N]).
  • Nn: Number of nearest neighbors to consider.
  • kt2_array: Array of transverse momentum squared values.
  • rapidity_array: Array of rapidity values.
  • phi_array: Array of azimuthal angle values.
  • R2: Distance threshold squared for nearest neighbors.
  • nndist: Array of nearest neighbor geometric distances.
  • nn: Array of nearest neighbor indices.
  • nndij: Array of metric distances between particles.

This function updates the nearest neighbor information for the current particle k by considering the distances to particles i and j. It checks if the distance between k and i is smaller than the current nearest neighbor distance for k, and updates the nearest neighbor information accordingly. It also updates the nearest neighbor information for i if the distance between k and i is smaller than the current nearest neighbor distance for i. Finally, it checks if the nearest neighbor of k is the total number of particles Nn and updates it to j if necessary.

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JetReconstruction.HistoryElementType
struct HistoryElement

A struct holding a record of jet mergers and finalisations

Fields:

  • parent1: Index in history where first parent of this jet was created (NonexistentParent if this jet is an original particle)
  • parent2: Index in history where second parent of this jet was created (NonexistentParent if this jet is an original particle); BeamJet if this history entry just labels the fact that the jet has recombined with the beam)
  • child: Index in history where the current jet is recombined with another jet to form its child. It is Invalid if this jet does not further recombine.
  • jetp_index: Index in the jets vector where we will find the PseudoJet object corresponding to this jet (i.e. the jet created at this entry of the history). NB: if this element of the history corresponds to a beam recombination, then jetp_index=Invalid.
  • dij: The distance corresponding to the recombination at this stage of the clustering.
  • max_dij_so_far: The largest recombination distance seen so far in the clustering history.
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JetReconstruction.HistoryElementMethod
HistoryElement(jetp_index)

Constructs a HistoryElement object with the given jetp_index, used for initialising the history with original particles.

Arguments

  • jetp_index: The index of the jetp.

Returns

A HistoryElement object.

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JetReconstruction.JetWithAncestorsType
struct JetWithAncestors

A struct representing a jet with its origin ancestors.

Fields

  • self::PseudoJet: The PseudoJet object for this jet.
  • jetp_index::Int: The index of the jet in the corresponding cluster sequence.
  • ancestors::Set{Int}: A set of indices representing the jetp_indexes of ancestors of the jet (in the cluster sequence).
  • jet_rank::Int: The rank of the jet based on a comparison of all of the jet's ancestors

Note

This structure needs its associated cluster sequence origin to be useful.

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JetReconstruction.SurroundingType
struct Surrounding{N}

Structure used for iterating over neighbour tiles.

Fields

  • indices::NTuple{N, Int}: A tuple of N integers representing the indices.
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JetReconstruction.TiledJetType
struct TiledJet

TiledJet represents a jet in a tiled algorithm for jet reconstruction, with additional information to track the jet's position in the tiled structures.

Fields

  • id::Int: The ID of the jet.
  • eta::Float64: The rapidity of the jet.
  • phi::Float64: The azimuthal angle of the jet.
  • kt2::Float64: The transverse momentum squared of the jet.
  • NN_dist::Float64: The distance to the nearest neighbor.
  • jets_index::Int: The index of the jet in the jet array.
  • tile_index::Int: The index of the tile in the tile array.
  • dij_posn::Int: The position of this jet in the dij compact array.
  • NN::TiledJet: The nearest neighbor.
  • previous::TiledJet: The previous jet.
  • next::TiledJet: The next jet.
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JetReconstruction.TiledJetMethod
TiledJet(id)

Constructs a TiledJet object with the given id and initializes its properties to zero.

Arguments

  • id: The ID of the TiledJet object.

Returns

A TiledJet object with the specified id and values set to zero or noTiledJet.

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JetReconstruction.TilingType
struct Tiling

The Tiling struct represents a tiling configuration for jet reconstruction.

Fields

  • setup::TilingDef: The tiling definition used for the configuration.
  • tiles::Matrix{TiledJet}: A matrix of tiled jets, containing the first jet in each tile (then the linked list of the first jet is followed to get access to all jets in this tile).
  • positions::Matrix{Int}: Used to track tiles that are on the edge of ϕ array, where neighbours need to be wrapped around.
  • tags::Matrix{Bool}: The matrix of tags indicating whether a tile is valid or not (set to false initially, then true when the tile has been setup properly).
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JetReconstruction.TilingMethod
Tiling(setup::TilingDef)

Constructs a intial Tiling object based on the provided setup parameters.

Arguments

  • setup::TilingDef: The setup parameters for the tiling.

Returns

A Tiling object.

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JetReconstruction.TilingDefType
struct TilingDef

A struct representing the definition of a spcific tiling scheme.

Fields

  • _tiles_eta_min::Float64: The minimum rapidity of the tiles.
  • _tiles_eta_max::Float64: The maximum rapidity of the tiles.
  • _tile_size_eta::Float64: The size of a tile in rapidity (usually R^2).
  • _tile_size_phi::Float64: The size of a tile in phi (usually a bit more than R^2).
  • _n_tiles_eta::Int: The number of tiles across rapidity.
  • _n_tiles_phi::Int: The number of tiles across phi.
  • _n_tiles::Int: The total number of tiles.
  • _tiles_ieta_min::Int: The minimum rapidity tile index.
  • _tiles_ieta_max::Int: The maximum rapidity tile index.

Constructor

TilingDef(_tiles_eta_min, _tiles_eta_max, _tile_size_eta, _tile_size_phi,
-	_n_tiles_eta, _n_tiles_phi, _tiles_ieta_min, _tiles_ieta_max)

Constructs a TilingDef object with the given parameters.

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JetReconstruction.neighbour_tilesType
struct neighbour_tiles

A struct representing the neighbouring tiles.

A struct for iterating over all neighbour tiles for a given Cartesian tile index. These are the tiles above and to the right of the given tile (X=included, O=not included):

XXX
-X.X
-XXX

Note, rapidity coordinate must be in range, ϕ coordinate wraps

Fields

  • n_η::Int: Number of η tiles
  • n_ϕ::Int: Number of ϕ tiles
  • start_η::Int: Centre η tile coordinate
  • start_ϕ::Int: Centre ϕ tile coordinate
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JetReconstruction.rightmost_tilesType
struct rightmost_tiles

A struct for iterating over rightmost tiles for a given Cartesian tile index. These are the tiles above and to the right of the given tile (X=included, O=not included):

XXX
-O.X
-OOO

Note, rapidity coordinate must be in range, ϕ coordinate wraps

Fields

  • n_η::Int: Number of η tiles
  • n_ϕ::Int: Number of ϕ tiles
  • start_η::Int: Centre η tile coordinate
  • start_ϕ::Int: Centre ϕ tile coordinate
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Jet Reconstruction Public Documentation

Documentation for JetReconstruction.jl's public interfaces.

Index

Public Methods and Types

# JetReconstruction.exclusive_jetsMethod.
julia
exclusive_jets(clusterseq::ClusterSequence; dcut = nothing, njets = nothing)

Return all exclusive jets of a ClusterSequence, with either a specific number of jets or a cut on the maximum distance parameter.

Arguments

  • clusterseq::ClusterSequence: The ClusterSequence object containing the clustering history and jets.

  • dcut::Union{Nothing, Real}: The distance parameter used to define the exclusive jets. If dcut is provided, the number of exclusive jets will be calculated based on this parameter.

  • njets::Union{Nothing, Integer}: The number of exclusive jets to be calculated. If njets is provided, the distance parameter dcut will be calculated based on this number.

Note: Either dcut or njets must be provided (but not both).

Returns

  • An array of LorentzVectorCyl objects representing the exclusive jets.

Exceptions

  • ArgumentError: If neither dcut nor njets is provided.

  • ArgumentError: If the algorithm used in the ClusterSequence object is not suitable for exclusive jets.

  • ErrorException: If the cluster sequence is incomplete and exclusive jets are unavailable.

Examples

julia
exclusive_jets(clusterseq, dcut = 20.0)
+exclusive_jets(clusterseq, njets = 3)

source


# JetReconstruction.final_jetsFunction.

Specialisation for final jets from LorentzVectors (TODO: merge into more general function)

source


# JetReconstruction.final_jetsFunction.

Specialisation for final jets from LorentzVectorCyl (TODO: merge into more general function)

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# JetReconstruction.final_jetsFunction.
julia
final_jets(jets::Vector{PseudoJet}, ptmin::AbstractFloat=0.0)

This function takes a vector of PseudoJet objects and a minimum transverse momentum ptmin as input. It returns a vector of FinalJet objects that satisfy the transverse momentum condition.

Arguments

  • jets::Vector{PseudoJet}: A vector of PseudoJet objects representing the input jets.

  • ptmin::AbstractFloat=0.0: The minimum transverse momentum required for a jet to be included in the final jets vector.

Returns

A vector of FinalJet objects that satisfy the transverse momentum condition.

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# JetReconstruction.inclusive_jetsFunction.
julia
inclusive_jets(clusterseq::ClusterSequence, ptmin = 0.0)

Return all inclusive jets of a ClusterSequence with pt > ptmin.

Arguments

  • clusterseq::ClusterSequence: The ClusterSequence object containing the clustering history and jets.

  • ptmin::Float64 = 0.0: The minimum transverse momentum (pt) threshold for the inclusive jets.

Returns

An array of LorentzVectorCyl objects representing the inclusive jets.

Description

This function computes the inclusive jets from a given ClusterSequence object. It iterates over the clustering history and checks the transverse momentum of each parent jet. If the transverse momentum is greater than or equal to ptmin, the jet is added to the array of inclusive jets.

Example

julia
inclusive_jets(clusterseq, ptmin = 10.0)

source


# JetReconstruction.jet_reconstructMethod.
julia
jet_reconstruct(particles; p = -1, R = 1.0, recombine = +, strategy = RecoStrategy.Best)

Reconstructs jets from a collection of particles using a specified algorithm and strategy

Arguments

  • particles: A collection of particles used for jet reconstruction.

  • p=-1: The power value used for the distance measure for generalised k_T, which maps to a particular reconstruction algorithm (-1 = AntiKt, 0 = Cambridge/Aachen, 1 = Kt).

  • R=1.0: The jet radius parameter.

  • recombine=+: The recombination scheme used for combining particles.

  • strategy=RecoStrategy.Best: The jet reconstruction strategy to use. RecoStrategy.Best makes a dynamic decision based on the number of starting particles.

Returns

A cluster sequence object containing the reconstructed jets and the merging history.

Details

particles argument

Any type that supplies the methods pt2(), phi(), rapidity(), px(), py(), pz(), energy() (in the JetReconstruction namespace) can be used. This includes LorentzVector, LorentzVectorCyl, and PseudoJet, for which these methods are already predefined in the JetReconstruction namespace.

recombine argument

The recombine argument is the function used to merge pairs of particles. The default is simply +(jet1,jet2), i.e. 4-momenta addition or the E-scheme.

Example

julia
jet_reconstruct(particles; p = -1, R = 0.4)

source


# JetReconstruction.loadjets!Method.
julia
loadjets!(filename, jets; splitby=isspace, constructor=(px,py,pz,E)->LorentzVectorHEP(E,px,py,pz), dtype=Float64)

Loads the jets from a file. Ignores lines that start with '#'. Each line gets processed in the following way: the line is split using split(line, splitby) or simply split(line) by default. Every value in this line is then converted to the dtype (which is Float64 by default). These values are then used as arguments for the constructor function which should produce individual jets. By default, the constructor constructs Lorentz vectors.

Everything that was already in jets is not affected as we only use push! on it.

Example

julia
# Load jets from two files into one array
+jets = []
+loadjets!("myjets1.dat", jets)
+loadjets!("myjets2.dat", jets)

source


# JetReconstruction.loadjetsMethod.
julia
loadjets(filename; splitby=isspace, constructor=(px,py,pz,E)->LorentzVectorHEP(E,px,py,pz), VT=LorentzVector)

Load jets from a file.

Arguments

  • filename: The name of the file to load jets from.

  • splitby: The delimiter used to split the data in the file. Default is isspace.

  • constructor: A function that constructs a VT object from the jet data. Default is (px,py,pz,E)->LorentzVector(E,px,py,pz).

  • VT: The type of the vector used to store the jet data. Default is LorentzVector.

Returns

  • A vector of VT objects representing the loaded jets.

source


# JetReconstruction.n_exclusive_jetsMethod.
julia
n_exclusive_jets(clusterseq::ClusterSequence; dcut::AbstractFloat)

Return the number of exclusive jets of a ClusterSequence that are above a certain dcut value.

Arguments

  • clusterseq::ClusterSequence: The ClusterSequence object containing the clustering history.

  • dcut::AbstractFloat: The maximum calue for the distance parameter in the reconstruction.

Returns

The number of exclusive jets in the ClusterSequence object.

Example

julia
n_exclusive_jets(clusterseq, dcut = 20.0)

source


# JetReconstruction.plain_jet_reconstructMethod.
julia
plain_jet_reconstruct(particles::Vector{T}; p = -1, R = 1.0, recombine = +) where T

Perform jet reconstruction using the plain algorithm.

Arguments

  • particles::Vector{T}: A vector of particles used for jet reconstruction, any array of particles, which supports suitable 4-vector methods, viz. pt2(), phi(), rapidity(), px(), py(), pz(), energy(), can be used. for each element.

  • p::Int=-1: The integer value used for jet reconstruction.

  • R::Float64=1.0: The radius parameter used for jet reconstruction.

  • recombine::Function=+: The recombination function used for jet reconstruction.

Note for the particles argument, the 4-vector methods need to exist in the JetReconstruction package namespace.

Returns

  • Vector{PseudoJet}: A vector of reconstructed jets.

Example

julia
jets = plain_jet_reconstruct(particles; p = -1, R = 1.0)

source


# JetReconstruction.read_final_state_particlesMethod.
julia
read_final_state_particles(fname; maxevents = -1, skipevents = 0, T=PseudoJet)

Reads final state particles from a file and returns them as a vector of type T.

Arguments

  • fname: The name of the HepMC3 ASCII file to read particles from. If the file is gzipped, the function will automatically decompress it.

  • maxevents=-1: The maximum number of events to read. -1 means all events will be read.

  • skipevents=0: The number of events to skip before an event is included.

  • T=PseudoJet: The type of object to contruct and return.

Returns

A vector of vectors of T objects, where each inner vector represents all the particles of a particular event. In particular T can be PseudoJet or a LorentzVector type. Note, if T is not PseudoJet, the order of the arguments in the constructor must be (t, x, y, z).

source


# JetReconstruction.savejetsMethod.
julia
savejets(filename, jets; format="px py pz E")

Save jet data to a file.

Arguments

  • filename: The name of the file to save the jet data to.

  • jets: An array of jet objects to save.

  • format="px py pz E": (optional) A string specifying the format of the jet data to save. The default format is "px py pz E".

Details

This function saves jet data to a file in a specific format. Each line in the file represents a jet and contains the information about the jet in the specified format. The format string can include the following placeholders:

  • "E" or "energy": Jet energy

  • "px": Momentum along the x-axis

  • "py": Momentum along the y-axis

  • "pz": Momentum along the z-axis

  • "pt2": Square of the transverse momentum

  • "phi": Azimuth angle

  • "rapidity": Rapidity

Lines starting with '#' are treated as comments and are ignored.

It is strongly NOT recommended to put something other than values and (possibly custom) separators in the format string.

source


# JetReconstruction.tiled_jet_reconstructMethod.
julia
tiled_jet_reconstruct(particles::Vector{PseudoJet}; p = -1, R = 1.0, recombine = +) where {T}

Main jet reconstruction algorithm entry point for reconstructing jets using the tiled stragegy for the prefered internal jet type, PseudoJet.

Arguments

  • particles::Vector{PseudoJet}: A vector of PseudoJet particles used as input for jet reconstruction.

  • p::Int = -1: The power parameter for the jet reconstruction algorithm, thus swiching between different algorithms.

  • R::Float64 = 1.0: The jet radius parameter for the jet reconstruction algorithm.

  • recombine::Function = +: The recombination function used for combining pseudojets.

Returns

  • Vector{PseudoJet}: A vector of reconstructed jets.

Example

julia
tiled_jet_reconstruct(particles::Vector{PseudoJet}; p = 1, R = 1.0, recombine = +)

source


# JetReconstruction.tiled_jet_reconstructMethod.
julia
tiled_jet_reconstruct(particles::Vector{T}; p = -1, R = 1.0, recombine = +) where {T}

Main jet reconstruction algorithm entry point for reconstructing jets using the tiled stragegy for generic jet type T.

Note - if a non-standard recombination is used, it must be defined for JetReconstruction.PseudoJet, as this struct is used internally.

Arguments

  • particles::Vector{T}: A vector of particles used as input for jet reconstruction. T must support methods px, py, pz and energy (defined in the JetReconstruction namespace)

  • p::Int = -1: The power parameter for the jet reconstruction algorithm, thus swiching between different algorithms.

  • R::Float64 = 1.0: The jet radius parameter for the jet reconstruction algorithm.

  • recombine::Function = +: The recombination function used for combining pseudojets.

Returns

  • Vector{PseudoJet}: A vector of reconstructed jets.

Example

julia
tiled_jet_reconstruct(particles::Vector{LorentzVectorHEP}; p = -1, R = 0.4, recombine = +)

source


# JetReconstruction.ClusterSequenceType.
julia
struct ClusterSequence

A struct holding the full history of a jet clustering sequence, including the final jets.

Fields

  • algorithm::JetAlgorithm.Algorithm: The algorithm used for clustering.

  • strategy::RecoStrategy.Strategy: The strategy used for clustering.

  • jets::Vector{PseudoJet}: The physical PseudoJets in the cluster sequence. Each PseudoJet corresponds to a position in the history.

  • n_initial_jets::Int: The initial number of particles used for exclusive jets.

  • history::Vector{HistoryElement}: The branching history of the cluster sequence. Each stage in the history indicates where to look in the jets vector to get the physical PseudoJet.

  • Qtot::Any: The total energy of the event.

source


# JetReconstruction.ClusterSequenceMethod.
julia
ClusterSequence(p::Int, strategy::RecoStrategy.Strategy, jets, history, Qtot)

Constructs a ClusterSequence object with a specific power value mapped to a pp reconstruction algorithm.

Arguments

  • p::Int: The power value for the algorithm.

  • strategy::RecoStrategy.Strategy: The reconstruction strategy.

  • jets: The jets to be clustered.

  • history: The length of the jets.

  • Qtot: The total energy of the jets.

Returns

A ClusterSequence object.

source


# JetReconstruction.ClusterSequenceMethod.
julia
ClusterSequence(alg::JetAlgorithm.Algorithm, strategy::RecoStrategy.Strategy, jets, history, Qtot)

Constructs a ClusterSequence object with a specific algorithm spcified.

Arguments

  • alg::JetAlgorithm.Algorithm: The algorithm.

  • strategy::RecoStrategy.Strategy: The reconstruction strategy.

  • jets: The jets to be clustered.

  • history: The length of the jets.

  • Qtot: The total energy of the jets.

Returns

A ClusterSequence object.

source


# JetReconstruction.FinalJetType.
julia
struct FinalJet

A struct representing the final properties of a jet, used for JSON serialisation.

Fields

  • rap::Float64: The rapidity of the jet.

  • phi::Float64: The azimuthal angle of the jet.

  • pt::Float64: The transverse momentum of the jet.

source


# JetReconstruction.FinalJetsType.
julia
struct FinalJets

A struct with the vector of all jets for a certain jet identifier, used for JSON serialisation.

Fields

  • jetid::Int64: The ID of the jet.

  • jets::Vector{FinalJet}: A vector of FinalJet objects representing the jets.

source


# JetReconstruction.PseudoJetType.
julia
mutable struct PseudoJet <: FourMomentum

The PseudoJet struct represents a pseudojet, a four-momentum object used in jet reconstruction algorithms. Additonal information for the link back into the history of the clustering is stored in the _cluster_hist_index field. There is caching of the more expensive calculations for rapidity and azimuthal angle.

Fields

  • px::Float64: The x-component of the momentum.

  • py::Float64: The y-component of the momentum.

  • pz::Float64: The z-component of the momentum.

  • E::Float64: The energy component of the momentum.

  • _cluster_hist_index::Int: The index of the cluster history.

  • _pt2::Float64: The squared transverse momentum.

  • _inv_pt2::Float64: The inverse squared transverse momentum.

  • _rap::Float64: The rapidity.

  • _phi::Float64: The azimuthal angle.

source


# JetReconstruction.PseudoJetMethod.
julia
PseudoJet(px::Float64, py::Float64, pz::Float64, E::Float64)

Constructs a PseudoJet object with the given momentum components and energy.

Arguments

  • px::Float64: The x-component of the momentum.

  • py::Float64: The y-component of the momentum.

  • pz::Float64: The z-component of the momentum.

  • E::Float64: The energy.

Returns

A PseudoJet object.

source


# JetReconstruction.PseudoJetMethod.
julia
PseudoJet(px::Float64, py::Float64, pz::Float64, E::Float64,
+    _cluster_hist_index::Int,
+    pt2::Float64)

Constructs a PseudoJet object with the given momentum components and energy and history index.

Arguments

  • px::Float64: The x-component of the momentum.

  • py::Float64: The y-component of the momentum.

  • pz::Float64: The z-component of the momentum.

  • E::Float64: The energy.

  • _cluster_hist_index::Int: The cluster history index.

  • pt2::Float64: The transverse momentum squared.

Returns

A PseudoJet object.

source


+ + + + \ No newline at end of file diff --git a/dev/lib/public/index.html b/dev/lib/public/index.html deleted file mode 100644 index 9596cec..0000000 --- a/dev/lib/public/index.html +++ /dev/null @@ -1,8 +0,0 @@ - -Public API · JetReconstruction.jl

Jet Reconstruction Public Documentation

Documentation for JetReconstruction.jl's public interfaces.

Index

Public Methods and Types

JetReconstruction.exclusive_jetsMethod
exclusive_jets(clusterseq::ClusterSequence; dcut = nothing, njets = nothing)

Return all exclusive jets of a ClusterSequence, with either a specific number of jets or a cut on the maximum distance parameter.

Arguments

  • clusterseq::ClusterSequence: The ClusterSequence object containing the clustering history and jets.
  • dcut::Union{Nothing, Real}: The distance parameter used to define the exclusive jets. If dcut is provided, the number of exclusive jets will be calculated based on this parameter.
  • njets::Union{Nothing, Integer}: The number of exclusive jets to be calculated. If njets is provided, the distance parameter dcut will be calculated based on this number.

Note: Either dcut or njets must be provided (but not both).

Returns

  • An array of LorentzVectorCyl objects representing the exclusive jets.

Exceptions

  • ArgumentError: If neither dcut nor njets is provided.
  • ArgumentError: If the algorithm used in the ClusterSequence object is not suitable for exclusive jets.
  • ErrorException: If the cluster sequence is incomplete and exclusive jets are unavailable.

Examples

exclusive_jets(clusterseq, dcut = 20.0)
-exclusive_jets(clusterseq, njets = 3)
source
JetReconstruction.final_jetsFunction
final_jets(jets::Vector{PseudoJet}, ptmin::AbstractFloat=0.0)

This function takes a vector of PseudoJet objects and a minimum transverse momentum ptmin as input. It returns a vector of FinalJet objects that satisfy the transverse momentum condition.

Arguments

  • jets::Vector{PseudoJet}: A vector of PseudoJet objects representing the input jets.
  • ptmin::AbstractFloat=0.0: The minimum transverse momentum required for a jet to be included in the final jets vector.

Returns

A vector of FinalJet objects that satisfy the transverse momentum condition.

source
JetReconstruction.inclusive_jetsFunction
inclusive_jets(clusterseq::ClusterSequence, ptmin = 0.0)

Return all inclusive jets of a ClusterSequence with pt > ptmin.

Arguments

  • clusterseq::ClusterSequence: The ClusterSequence object containing the clustering history and jets.
  • ptmin::Float64 = 0.0: The minimum transverse momentum (pt) threshold for the inclusive jets.

Returns

An array of LorentzVectorCyl objects representing the inclusive jets.

Description

This function computes the inclusive jets from a given ClusterSequence object. It iterates over the clustering history and checks the transverse momentum of each parent jet. If the transverse momentum is greater than or equal to ptmin, the jet is added to the array of inclusive jets.

Example

inclusive_jets(clusterseq, ptmin = 10.0)
source
JetReconstruction.jet_reconstructMethod
jet_reconstruct(particles; p = -1, R = 1.0, recombine = +, strategy = RecoStrategy.Best)

Reconstructs jets from a collection of particles using a specified algorithm and strategy

Arguments

  • particles: A collection of particles used for jet reconstruction.
  • p=-1: The power value used for the distance measure for generalised k_T, which maps to a particular reconstruction algorithm (-1 = AntiKt, 0 = Cambridge/Aachen, 1 = Kt).
  • R=1.0: The jet radius parameter.
  • recombine=+: The recombination scheme used for combining particles.
  • strategy=RecoStrategy.Best: The jet reconstruction strategy to use. RecoStrategy.Best makes a dynamic decision based on the number of starting particles.

Returns

A cluster sequence object containing the reconstructed jets and the merging history.

Details

particles argument

Any type that supplies the methods pt2(), phi(), rapidity(), px(), py(), pz(), energy() (in the JetReconstruction namespace) can be used. This includes LorentzVector, LorentzVectorCyl, and PseudoJet, for which these methods are already predefined in the JetReconstruction namespace.

recombine argument

The recombine argument is the function used to merge pairs of particles. The default is simply +(jet1,jet2), i.e. 4-momenta addition or the E-scheme.

Example

jet_reconstruct(particles; p = -1, R = 0.4)
source
JetReconstruction.loadjets!Method
loadjets!(filename, jets; splitby=isspace, constructor=(px,py,pz,E)->LorentzVectorHEP(E,px,py,pz), dtype=Float64)

Loads the jets from a file. Ignores lines that start with '#'. Each line gets processed in the following way: the line is split using split(line, splitby) or simply split(line) by default. Every value in this line is then converted to the dtype (which is Float64 by default). These values are then used as arguments for the constructor function which should produce individual jets. By default, the constructor constructs Lorentz vectors.

Everything that was already in jets is not affected as we only use push! on it.

Example

# Load jets from two files into one array
-jets = []
-loadjets!("myjets1.dat", jets)
-loadjets!("myjets2.dat", jets)
source
JetReconstruction.loadjetsMethod
loadjets(filename; splitby=isspace, constructor=(px,py,pz,E)->LorentzVectorHEP(E,px,py,pz), VT=LorentzVector)

Load jets from a file.

Arguments

  • filename: The name of the file to load jets from.
  • splitby: The delimiter used to split the data in the file. Default is isspace.
  • constructor: A function that constructs a VT object from the jet data. Default is (px,py,pz,E)->LorentzVector(E,px,py,pz).
  • VT: The type of the vector used to store the jet data. Default is LorentzVector.

Returns

  • A vector of VT objects representing the loaded jets.
source
JetReconstruction.n_exclusive_jetsMethod
n_exclusive_jets(clusterseq::ClusterSequence; dcut::AbstractFloat)

Return the number of exclusive jets of a ClusterSequence that are above a certain dcut value.

Arguments

  • clusterseq::ClusterSequence: The ClusterSequence object containing the clustering history.
  • dcut::AbstractFloat: The maximum calue for the distance parameter in the reconstruction.

Returns

The number of exclusive jets in the ClusterSequence object.

Example

n_exclusive_jets(clusterseq, dcut = 20.0)
source
JetReconstruction.plain_jet_reconstructMethod
plain_jet_reconstruct(particles::Vector{T}; p = -1, R = 1.0, recombine = +) where T

Perform jet reconstruction using the plain algorithm.

Arguments

  • particles::Vector{T}: A vector of particles used for jet reconstruction, any array of particles, which supports suitable 4-vector methods, viz. pt2(), phi(), rapidity(), px(), py(), pz(), energy(), can be used. for each element.
  • p::Int=-1: The integer value used for jet reconstruction.
  • R::Float64=1.0: The radius parameter used for jet reconstruction.
  • recombine::Function=+: The recombination function used for jet reconstruction.

Note for the particles argument, the 4-vector methods need to exist in the JetReconstruction package namespace.

Returns

  • Vector{PseudoJet}: A vector of reconstructed jets.

Example

jets = plain_jet_reconstruct(particles; p = -1, R = 1.0)
source
JetReconstruction.read_final_state_particlesMethod
read_final_state_particles(fname; maxevents = -1, skipevents = 0, T=PseudoJet)

Reads final state particles from a file and returns them as a vector of type T.

Arguments

  • fname: The name of the HepMC3 ASCII file to read particles from. If the file is gzipped, the function will automatically decompress it.
  • maxevents=-1: The maximum number of events to read. -1 means all events will be read.
  • skipevents=0: The number of events to skip before an event is included.
  • T=PseudoJet: The type of object to contruct and return.

Returns

A vector of vectors of T objects, where each inner vector represents all the particles of a particular event. In particular T can be PseudoJet or a LorentzVector type. Note, if T is not PseudoJet, the order of the arguments in the constructor must be (t, x, y, z).

source
JetReconstruction.savejetsMethod
savejets(filename, jets; format="px py pz E")

Save jet data to a file.

Arguments

  • filename: The name of the file to save the jet data to.
  • jets: An array of jet objects to save.
  • format="px py pz E": (optional) A string specifying the format of the jet data to save. The default format is "px py pz E".

Details

This function saves jet data to a file in a specific format. Each line in the file represents a jet and contains the information about the jet in the specified format. The format string can include the following placeholders:

  • "E" or "energy": Jet energy
  • "px": Momentum along the x-axis
  • "py": Momentum along the y-axis
  • "pz": Momentum along the z-axis
  • "pt2": Square of the transverse momentum
  • "phi": Azimuth angle
  • "rapidity": Rapidity

Lines starting with '#' are treated as comments and are ignored.

It is strongly NOT recommended to put something other than values and (possibly custom) separators in the format string.

source
JetReconstruction.tiled_jet_reconstructMethod
tiled_jet_reconstruct(particles::Vector{PseudoJet}; p = -1, R = 1.0, recombine = +) where {T}

Main jet reconstruction algorithm entry point for reconstructing jets using the tiled stragegy for the prefered internal jet type, PseudoJet.

Arguments

  • particles::Vector{PseudoJet}: A vector of PseudoJet particles used as input for jet reconstruction.
  • p::Int = -1: The power parameter for the jet reconstruction algorithm, thus swiching between different algorithms.
  • R::Float64 = 1.0: The jet radius parameter for the jet reconstruction algorithm.
  • recombine::Function = +: The recombination function used for combining pseudojets.

Returns

  • Vector{PseudoJet}: A vector of reconstructed jets.

Example

tiled_jet_reconstruct(particles::Vector{PseudoJet}; p = 1, R = 1.0, recombine = +)
source
JetReconstruction.tiled_jet_reconstructMethod
tiled_jet_reconstruct(particles::Vector{T}; p = -1, R = 1.0, recombine = +) where {T}

Main jet reconstruction algorithm entry point for reconstructing jets using the tiled stragegy for generic jet type T.

Note - if a non-standard recombination is used, it must be defined for JetReconstruction.PseudoJet, as this struct is used internally.

Arguments

  • particles::Vector{T}: A vector of particles used as input for jet reconstruction. T must support methods px, py, pz and energy (defined in the JetReconstruction namespace)
  • p::Int = -1: The power parameter for the jet reconstruction algorithm, thus swiching between different algorithms.
  • R::Float64 = 1.0: The jet radius parameter for the jet reconstruction algorithm.
  • recombine::Function = +: The recombination function used for combining pseudojets.

Returns

  • Vector{PseudoJet}: A vector of reconstructed jets.

Example

tiled_jet_reconstruct(particles::Vector{LorentzVectorHEP}; p = -1, R = 0.4, recombine = +)
source
JetReconstruction.ClusterSequenceType
struct ClusterSequence

A struct holding the full history of a jet clustering sequence, including the final jets.

Fields

  • algorithm::JetAlgorithm.Algorithm: The algorithm used for clustering.
  • strategy::RecoStrategy.Strategy: The strategy used for clustering.
  • jets::Vector{PseudoJet}: The physical PseudoJets in the cluster sequence. Each PseudoJet corresponds to a position in the history.
  • n_initial_jets::Int: The initial number of particles used for exclusive jets.
  • history::Vector{HistoryElement}: The branching history of the cluster sequence. Each stage in the history indicates where to look in the jets vector to get the physical PseudoJet.
  • Qtot::Any: The total energy of the event.
source
JetReconstruction.ClusterSequenceMethod
ClusterSequence(p::Int, strategy::RecoStrategy.Strategy, jets, history, Qtot)

Constructs a ClusterSequence object with a specific power value mapped to a pp reconstruction algorithm.

Arguments

  • p::Int: The power value for the algorithm.
  • strategy::RecoStrategy.Strategy: The reconstruction strategy.
  • jets: The jets to be clustered.
  • history: The length of the jets.
  • Qtot: The total energy of the jets.

Returns

A ClusterSequence object.

source
JetReconstruction.ClusterSequenceMethod
ClusterSequence(alg::JetAlgorithm.Algorithm, strategy::RecoStrategy.Strategy, jets, history, Qtot)

Constructs a ClusterSequence object with a specific algorithm spcified.

Arguments

  • alg::JetAlgorithm.Algorithm: The algorithm.
  • strategy::RecoStrategy.Strategy: The reconstruction strategy.
  • jets: The jets to be clustered.
  • history: The length of the jets.
  • Qtot: The total energy of the jets.

Returns

A ClusterSequence object.

source
JetReconstruction.FinalJetType
struct FinalJet

A struct representing the final properties of a jet, used for JSON serialisation.

Fields

  • rap::Float64: The rapidity of the jet.
  • phi::Float64: The azimuthal angle of the jet.
  • pt::Float64: The transverse momentum of the jet.
source
JetReconstruction.FinalJetsType
struct FinalJets

A struct with the vector of all jets for a certain jet identifier, used for JSON serialisation.

Fields

  • jetid::Int64: The ID of the jet.
  • jets::Vector{FinalJet}: A vector of FinalJet objects representing the jets.
source
JetReconstruction.PseudoJetType
mutable struct PseudoJet <: FourMomentum

The PseudoJet struct represents a pseudojet, a four-momentum object used in jet reconstruction algorithms. Additonal information for the link back into the history of the clustering is stored in the _cluster_hist_index field. There is caching of the more expensive calculations for rapidity and azimuthal angle.

Fields

  • px::Float64: The x-component of the momentum.
  • py::Float64: The y-component of the momentum.
  • pz::Float64: The z-component of the momentum.
  • E::Float64: The energy component of the momentum.
  • _cluster_hist_index::Int: The index of the cluster history.
  • _pt2::Float64: The squared transverse momentum.
  • _inv_pt2::Float64: The inverse squared transverse momentum.
  • _rap::Float64: The rapidity.
  • _phi::Float64: The azimuthal angle.
source
JetReconstruction.PseudoJetMethod
PseudoJet(px::Float64, py::Float64, pz::Float64, E::Float64)

Constructs a PseudoJet object with the given momentum components and energy.

Arguments

  • px::Float64: The x-component of the momentum.
  • py::Float64: The y-component of the momentum.
  • pz::Float64: The z-component of the momentum.
  • E::Float64: The energy.

Returns

A PseudoJet object.

source
JetReconstruction.PseudoJetMethod
PseudoJet(px::Float64, py::Float64, pz::Float64, E::Float64,
-    _cluster_hist_index::Int,
-    pt2::Float64)

Constructs a PseudoJet object with the given momentum components and energy and history index.

Arguments

  • px::Float64: The x-component of the momentum.
  • py::Float64: The y-component of the momentum.
  • pz::Float64: The z-component of the momentum.
  • E::Float64: The energy.
  • _cluster_hist_index::Int: The cluster history index.
  • pt2::Float64: The transverse momentum squared.

Returns

A PseudoJet object.

source
diff --git a/dev/lib/visualisation.html b/dev/lib/visualisation.html new file mode 100644 index 0000000..13721d2 --- /dev/null +++ b/dev/lib/visualisation.html @@ -0,0 +1,52 @@ + + + + + + Jet Visualisation Documentation | JetReconstruction.jl + + + + + + + + + + + + + +
Skip to content

Jet Visualisation Documentation

Documentation for visualisation interfaces extension module.

Index

Jet Visualisation Public Interfaces

# JetReconstruction.animaterecoMethod.
julia
animatereco(cs::ClusterSequence, filename;
+            barsize_phi = 0.1,
+            barsize_y = 0.1,
+            colormap = :glasbey_category10_n256,
+            perspective = 0.5,
+            azimuth = 2.7,
+            elevation = 0.5,
+            framerate = 5,
+            ancestors = false,
+            Module = Makie)

Animate the jet reconstruction process and save it as a video file.

Arguments

  • cs::ClusterSequence: The cluster sequence object containing the jets.

  • filename: The name of the output video file.

Optional Arguments

  • barsize_phi=0.1: The size of the bars in the phi direction.

  • barsize_y=0.1: The size of the bars in the y direction.

  • colormap=:glasbey_category10_n256: The colormap to use for coloring the jets.

  • perspective=0.5: The perspective of the plot.

  • azimuth=2.7: The azimuth angle of the plot.

  • elevation=0.5: The elevation angle of the plot.

  • framerate=5: The framerate of the output video.

  • end_frames=0: The number of static frames to show at the end of the animation. This can be useful to show the final state of the jets for a longer time.

  • title=nothing: The title to add to the plot.

  • ancestors=false: Whether to include ancestors of the jets in the animation. When true the ancestors of the jets will be plotted as well, as height zero bars, with the same colour as the jet they are ancestors of.

  • Module: The plotting module to use. Default is Makie.

For perspective, azimuth, and elevation, a single value can be passed for a fixed viewpoint, or a tuple of two values for a changing viewpoint. The viewpoint will then change linearly between the two values over the course of the animation.

Returns

  • fig: The figure object representing the final frame.

source


# JetReconstruction.jetsplotMethod.

jetsplot(objects, idx_arrays; barsize_phi=0.1, barsize_eta=0.1, colormap=:glasbey_hv_n256, Module=Main)

Plots a 3d bar chart that represents jets. Takes an objects array of objects to display and idx_arrays, an array of arrays with indeces, where idx_arrays[i] gives indeces of objects that form the jet number i. This function's signature might not be the most practical for the current version of the JetReconstruction.jl package, as it has been written during the early stage of development. There is now an overload of it that takes a ClusterSequence object as its argument.

Optional arguments: barsize_phi::Real — width of a bar along the ϕ axis; barsize_eta::Real — width of a bar along the η axis; colormap::Symbol — Makie colour map; Module — the module where you have your Makie (see below);

# example
+using CairoMakie # use any other Makie that you have here
+
+jetsplot([object1, object2, object3], [[1], [2, 3]])

The example above plots object1 as a separate jet in one colour and object2 and object3 together in another colour.

This function needs Makie.jl to work. You should install and import/use a specific backend yourself. jetsplot works with CairoMakie, WGLMakie, GLMakie, etc. Additionally, you can specify the module where you have your Makie explicitly:

import CairoMakie
+jetsplot(my_objects, my_colour_arrays, Module=CairoMakie)
+
+import GLMakie
+jetsplot(my_objects, my_colour_arrays, Module=GLMakie)
+
+using WGLMakie
+jetsplot(my_objects, my_colour_arrays, Module=Main) #default

source


# JetReconstruction.jetsplotMethod.
julia
jetsplot(objects, cs::ClusterSequence; barsize_phi=0.1, barsize_eta=0.1, colormap=:glasbey_hv_n256, Module=Main)

Plots a 3d bar chart that represents jets. Takes objects, an array of objects to display (should be the same array you have passed to jet_reconstruct to get the cs::ClusterSequence), and the cs::ClusterSequence itself as arguments.

Optional arguments: barsize_phi::Real — width of a bar along the ϕ axis; barsize_eta::Real — width of a bar along the η axis; colormap::Symbol — Makie colour map; Module — the module where you have your Makie (see below);

# example
+using CairoMakie # use any other Makie that you have here
+jetsplot([object1, object2, object3], cluster_sequence_I_got_from_jet_reconstruct; Module=CairoMakie)

This function needs Makie.jl to work. You should install and import/use a specific backend yourself. jetsplot works with CairoMakie, WGLMakie, GLMakie, etc. Additionally, you can specify the module where you have your Makie explicitly:

import CairoMakie
+jetsplot(my_objects, cs, Module=CairoMakie)
+
+import GLMakie
+jetsplot(my_objects, cs, Module=GLMakie)
+
+using WGLMakie
+jetsplot(my_objects, cs, Module=Main) #default

source


+ + + + \ No newline at end of file diff --git a/dev/lib/visualisation/index.html b/dev/lib/visualisation/index.html deleted file mode 100644 index 61ca53c..0000000 --- a/dev/lib/visualisation/index.html +++ /dev/null @@ -1,30 +0,0 @@ - -Visualisation API · JetReconstruction.jl

Jet Visualisation Documentation

Documentation for visualisation interfaces extension module.

Index

Jet Visualisation Public Interfaces

JetReconstruction.animaterecoMethod
animatereco(cs::ClusterSequence, filename;
-            barsize_phi = 0.1,
-            barsize_y = 0.1,
-            colormap = :glasbey_category10_n256,
-            perspective = 0.5,
-            azimuth = 2.7,
-            elevation = 0.5,
-            framerate = 5,
-            ancestors = false,
-            Module = Makie)

Animate the jet reconstruction process and save it as a video file.

Arguments

  • cs::ClusterSequence: The cluster sequence object containing the jets.
  • filename: The name of the output video file.

Optional Arguments

  • barsize_phi=0.1: The size of the bars in the phi direction.
  • barsize_y=0.1: The size of the bars in the y direction.
  • colormap=:glasbey_category10_n256: The colormap to use for coloring the jets.
  • perspective=0.5: The perspective of the plot.
  • azimuth=2.7: The azimuth angle of the plot.
  • elevation=0.5: The elevation angle of the plot.
  • framerate=5: The framerate of the output video.
  • end_frames=0: The number of static frames to show at the end of the animation. This can be useful to show the final state of the jets for a longer time.
  • title=nothing: The title to add to the plot.
  • ancestors=false: Whether to include ancestors of the jets in the animation. When true the ancestors of the jets will be plotted as well, as height zero bars, with the same colour as the jet they are ancestors of.
  • Module: The plotting module to use. Default is Makie.

For perspective, azimuth, and elevation, a single value can be passed for a fixed viewpoint, or a tuple of two values for a changing viewpoint. The viewpoint will then change linearly between the two values over the course of the animation.

Returns

  • fig: The figure object representing the final frame.
source
JetReconstruction.jetsplotMethod

jetsplot(objects, idx_arrays; barsize_phi=0.1, barsize_eta=0.1, colormap=:glasbey_hv_n256, Module=Main)

Plots a 3d bar chart that represents jets. Takes an objects array of objects to display and idx_arrays, an array of arrays with indeces, where idx_arrays[i] gives indeces of objects that form the jet number i. This function's signature might not be the most practical for the current version of the JetReconstruction.jl package, as it has been written during the early stage of development. There is now an overload of it that takes a ClusterSequence object as its argument.

Optional arguments: barsize_phi::Real — width of a bar along the ϕ axis; barsize_eta::Real — width of a bar along the η axis; colormap::Symbol — Makie colour map; Module — the module where you have your Makie (see below);

# example
-using CairoMakie # use any other Makie that you have here
-
-jetsplot([object1, object2, object3], [[1], [2, 3]])

The example above plots object1 as a separate jet in one colour and object2 and object3 together in another colour.

This function needs Makie.jl to work. You should install and import/use a specific backend yourself. jetsplot works with CairoMakie, WGLMakie, GLMakie, etc. Additionally, you can specify the module where you have your Makie explicitly:

import CairoMakie
-jetsplot(my_objects, my_colour_arrays, Module=CairoMakie)
-
-import GLMakie
-jetsplot(my_objects, my_colour_arrays, Module=GLMakie)
-
-using WGLMakie
-jetsplot(my_objects, my_colour_arrays, Module=Main) #default
source
JetReconstruction.jetsplotMethod
jetsplot(objects, cs::ClusterSequence; barsize_phi=0.1, barsize_eta=0.1, colormap=:glasbey_hv_n256, Module=Main)

Plots a 3d bar chart that represents jets. Takes objects, an array of objects to display (should be the same array you have passed to jet_reconstruct to get the cs::ClusterSequence), and the cs::ClusterSequence itself as arguments.

Optional arguments: barsize_phi::Real — width of a bar along the ϕ axis; barsize_eta::Real — width of a bar along the η axis; colormap::Symbol — Makie colour map; Module — the module where you have your Makie (see below);

# example
-using CairoMakie # use any other Makie that you have here
-jetsplot([object1, object2, object3], cluster_sequence_I_got_from_jet_reconstruct; Module=CairoMakie)

This function needs Makie.jl to work. You should install and import/use a specific backend yourself. jetsplot works with CairoMakie, WGLMakie, GLMakie, etc. Additionally, you can specify the module where you have your Makie explicitly:

import CairoMakie
-jetsplot(my_objects, cs, Module=CairoMakie)
-
-import GLMakie
-jetsplot(my_objects, cs, Module=GLMakie)
-
-using WGLMakie
-jetsplot(my_objects, cs, Module=Main) #default
source
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Use the --help option to see usage. e.g., to extract timing performance for the AntiKt algorithm using the tiled strategy:","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"julia --project instrumented-jetreco.jl -S N2Tiled -A AntiKt --nsamples 100 ../test/data/events.hepmc3","category":"page"},{"location":"examples/#visualise-jets.jl","page":"Examples","title":"visualise-jets.jl","text":"","category":"section"},{"location":"examples/","page":"Examples","title":"Examples","text":"This script will produce a PNG/PDF showing the results of a jet reconstruction. This is a 3D plot where all the initial energy deposits are visualised, with colours that indicate in which final cluster the deposit ended up in.","category":"page"},{"location":"examples/#visualise-jets.ipynb","page":"Examples","title":"visualise-jets.ipynb","text":"","category":"section"},{"location":"examples/","page":"Examples","title":"Examples","text":"Similar to visualise-jets.jl this notebook will produce a visualisation of jet reconstruction in the browser. 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If the file is gzipped, the function will automatically decompress it.\nmaxevents=-1: The maximum number of events to read. -1 means all events will be read.\nskipevents=0: The number of events to skip before an event is included.\nT=PseudoJet: The type of object to contruct and return.\n\nReturns\n\nA vector of vectors of T objects, where each inner vector represents all the particles of a particular event. In particular T can be PseudoJet or a LorentzVector type. Note, if T is not PseudoJet, the order of the arguments in the constructor must be (t, x, y, z).\n\n\n\n\n\n","category":"method"},{"location":"lib/public/#JetReconstruction.savejets-Tuple{Any, Any}","page":"Public API","title":"JetReconstruction.savejets","text":"savejets(filename, jets; format=\"px py pz E\")\n\nSave jet data to a file.\n\nArguments\n\nfilename: The name of the file to save the jet data to.\njets: An array of jet objects to save.\nformat=\"px py pz E\": (optional) A string specifying the format of the jet data to save. The default format is \"px py pz E\".\n\nDetails\n\nThis function saves jet data to a file in a specific format. Each line in the file represents a jet and contains the information about the jet in the specified format. The format string can include the following placeholders:\n\n\"E\" or \"energy\": Jet energy\n\"px\": Momentum along the x-axis\n\"py\": Momentum along the y-axis\n\"pz\": Momentum along the z-axis\n\"pt2\": Square of the transverse momentum\n\"phi\": Azimuth angle\n\"rapidity\": Rapidity\n\nLines starting with '#' are treated as comments and are ignored.\n\nIt is strongly NOT recommended to put something other than values and (possibly custom) separators in the format string.\n\n\n\n\n\n","category":"method"},{"location":"lib/public/#JetReconstruction.tiled_jet_reconstruct-Tuple{Vector{PseudoJet}}","page":"Public API","title":"JetReconstruction.tiled_jet_reconstruct","text":"tiled_jet_reconstruct(particles::Vector{PseudoJet}; p = -1, R = 1.0, recombine = +) where {T}\n\nMain jet reconstruction algorithm entry point for reconstructing jets using the tiled stragegy for the prefered internal jet type, PseudoJet.\n\nArguments\n\nparticles::Vector{PseudoJet}: A vector of PseudoJet particles used as input for jet reconstruction.\np::Int = -1: The power parameter for the jet reconstruction algorithm, thus swiching between different algorithms.\nR::Float64 = 1.0: The jet radius parameter for the jet reconstruction algorithm.\nrecombine::Function = +: The recombination function used for combining pseudojets.\n\nReturns\n\nVector{PseudoJet}: A vector of reconstructed jets.\n\nExample\n\ntiled_jet_reconstruct(particles::Vector{PseudoJet}; p = 1, R = 1.0, recombine = +)\n\n\n\n\n\n","category":"method"},{"location":"lib/public/#JetReconstruction.tiled_jet_reconstruct-Union{Tuple{Vector{T}}, Tuple{T}} where T","page":"Public API","title":"JetReconstruction.tiled_jet_reconstruct","text":"tiled_jet_reconstruct(particles::Vector{T}; p = -1, R = 1.0, recombine = +) where {T}\n\nMain jet reconstruction algorithm entry point for reconstructing jets using the tiled stragegy for generic jet type T.\n\nNote - if a non-standard recombination is used, it must be defined for JetReconstruction.PseudoJet, as this struct is used internally.\n\nArguments\n\nparticles::Vector{T}: A vector of particles used as input for jet reconstruction. T must support methods px, py, pz and energy (defined in the JetReconstruction namespace)\np::Int = -1: The power parameter for the jet reconstruction algorithm, thus swiching between different algorithms.\nR::Float64 = 1.0: The jet radius parameter for the jet reconstruction algorithm.\nrecombine::Function = +: The recombination function used for combining pseudojets.\n\nReturns\n\nVector{PseudoJet}: A vector of reconstructed jets.\n\nExample\n\ntiled_jet_reconstruct(particles::Vector{LorentzVectorHEP}; p = -1, R = 0.4, recombine = +)\n\n\n\n\n\n","category":"method"},{"location":"lib/public/#JetReconstruction.ClusterSequence","page":"Public API","title":"JetReconstruction.ClusterSequence","text":"struct ClusterSequence\n\nA struct holding the full history of a jet clustering sequence, including the final jets.\n\nFields\n\nalgorithm::JetAlgorithm.Algorithm: The algorithm used for clustering.\nstrategy::RecoStrategy.Strategy: The strategy used for clustering.\njets::Vector{PseudoJet}: The physical PseudoJets in the cluster sequence. Each PseudoJet corresponds to a position in the history.\nn_initial_jets::Int: The initial number of particles used for exclusive jets.\nhistory::Vector{HistoryElement}: The branching history of the cluster sequence. Each stage in the history indicates where to look in the jets vector to get the physical PseudoJet.\nQtot::Any: The total energy of the event.\n\n\n\n\n\n","category":"type"},{"location":"lib/public/#JetReconstruction.ClusterSequence-Tuple{Int64, JetReconstruction.RecoStrategy.Strategy, Any, Any, Any}","page":"Public API","title":"JetReconstruction.ClusterSequence","text":"ClusterSequence(p::Int, strategy::RecoStrategy.Strategy, jets, history, Qtot)\n\nConstructs a ClusterSequence object with a specific power value mapped to a pp reconstruction algorithm.\n\nArguments\n\np::Int: The power value for the algorithm.\nstrategy::RecoStrategy.Strategy: The reconstruction strategy.\njets: The jets to be clustered.\nhistory: The length of the jets.\nQtot: The total energy of the jets.\n\nReturns\n\nA ClusterSequence object.\n\n\n\n\n\n","category":"method"},{"location":"lib/public/#JetReconstruction.ClusterSequence-Tuple{JetReconstruction.JetAlgorithm.Algorithm, JetReconstruction.RecoStrategy.Strategy, Any, Any, Any}","page":"Public API","title":"JetReconstruction.ClusterSequence","text":"ClusterSequence(alg::JetAlgorithm.Algorithm, strategy::RecoStrategy.Strategy, jets, history, Qtot)\n\nConstructs a ClusterSequence object with a specific algorithm spcified.\n\nArguments\n\nalg::JetAlgorithm.Algorithm: The algorithm.\nstrategy::RecoStrategy.Strategy: The reconstruction strategy.\njets: The jets to be clustered.\nhistory: The length of the jets.\nQtot: The total energy of the jets.\n\nReturns\n\nA ClusterSequence object.\n\n\n\n\n\n","category":"method"},{"location":"lib/public/#JetReconstruction.FinalJet","page":"Public API","title":"JetReconstruction.FinalJet","text":"struct FinalJet\n\nA struct representing the final properties of a jet, used for JSON serialisation.\n\nFields\n\nrap::Float64: The rapidity of the jet.\nphi::Float64: The azimuthal angle of the jet.\npt::Float64: The transverse momentum of the jet.\n\n\n\n\n\n","category":"type"},{"location":"lib/public/#JetReconstruction.FinalJets","page":"Public API","title":"JetReconstruction.FinalJets","text":"struct FinalJets\n\nA struct with the vector of all jets for a certain jet identifier, used for JSON serialisation.\n\nFields\n\njetid::Int64: The ID of the jet.\njets::Vector{FinalJet}: A vector of FinalJet objects representing the jets.\n\n\n\n\n\n","category":"type"},{"location":"lib/public/#JetReconstruction.PseudoJet","page":"Public API","title":"JetReconstruction.PseudoJet","text":"mutable struct PseudoJet <: FourMomentum\n\nThe PseudoJet struct represents a pseudojet, a four-momentum object used in jet reconstruction algorithms. Additonal information for the link back into the history of the clustering is stored in the _cluster_hist_index field. There is caching of the more expensive calculations for rapidity and azimuthal angle.\n\nFields\n\npx::Float64: The x-component of the momentum.\npy::Float64: The y-component of the momentum.\npz::Float64: The z-component of the momentum.\nE::Float64: The energy component of the momentum.\n_cluster_hist_index::Int: The index of the cluster history.\n_pt2::Float64: The squared transverse momentum.\n_inv_pt2::Float64: The inverse squared transverse momentum.\n_rap::Float64: The rapidity.\n_phi::Float64: The azimuthal angle.\n\n\n\n\n\n","category":"type"},{"location":"lib/public/#JetReconstruction.PseudoJet-NTuple{4, Float64}","page":"Public API","title":"JetReconstruction.PseudoJet","text":"PseudoJet(px::Float64, py::Float64, pz::Float64, E::Float64)\n\nConstructs a PseudoJet object with the given momentum components and energy.\n\nArguments\n\npx::Float64: The x-component of the momentum.\npy::Float64: The y-component of the momentum.\npz::Float64: The z-component of the momentum.\nE::Float64: The energy.\n\nReturns\n\nA PseudoJet object.\n\n\n\n\n\n","category":"method"},{"location":"lib/public/#JetReconstruction.PseudoJet-Tuple{Float64, Float64, Float64, Float64, Int64, Float64}","page":"Public API","title":"JetReconstruction.PseudoJet","text":"PseudoJet(px::Float64, py::Float64, pz::Float64, E::Float64,\n _cluster_hist_index::Int,\n pt2::Float64)\n\nConstructs a PseudoJet object with the given momentum components and energy and history index.\n\nArguments\n\npx::Float64: The x-component of the momentum.\npy::Float64: The y-component of the momentum.\npz::Float64: The z-component of the momentum.\nE::Float64: The energy.\n_cluster_hist_index::Int: The cluster history index.\npt2::Float64: The transverse momentum squared.\n\nReturns\n\nA PseudoJet object.\n\n\n\n\n\n","category":"method"},{"location":"#Jet-Reconstruction","page":"Home","title":"Jet Reconstruction","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"This package implements sequential Jet Reconstruction (clustering) algorithms, which are used in high-energy physics as part of event reconstruction for pp and e^+e^- colliders.","category":"page"},{"location":"#Algorithms","page":"Home","title":"Algorithms","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Algorithms used are based on the C++ FastJet package (https://fastjet.fr, hep-ph/0512210, arXiv:1111.6097), reimplemented natively in Julia.","category":"page"},{"location":"","page":"Home","title":"Home","text":"The algorithms include textanti-k_textT, Cambridge/Aachen and inclusive k_textT.","category":"page"},{"location":"#Reconstruction-Interface","page":"Home","title":"Reconstruction Interface","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"The main interface for reconstruction is jet_reconstruct, called as, e.g.,","category":"page"},{"location":"","page":"Home","title":"Home","text":"jet_reconstruct(particles; p = -1, R = 1.0)","category":"page"},{"location":"","page":"Home","title":"Home","text":"Where particles is a collection of 4-vector objects to reconstruct.","category":"page"},{"location":"","page":"Home","title":"Home","text":"The object returned is a ClusterSequence, which internally tracks all merge steps.","category":"page"},{"location":"#Strategy","page":"Home","title":"Strategy","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Three strategies are available for the different algorithms:","category":"page"},{"location":"","page":"Home","title":"Home","text":"Strategy Name Notes Interface\nRecoStrategy.Best Dynamically switch strategy based on input particle density jet_reconstruct\nRecoStrategy.N2Plain Global matching of particles at each interation (works well for low N) plain_jet_reconstruct\nRecoStrategy.N2Tiled Use tiles of radius R to limit search space (works well for higher N) tiled_jet_reconstruct","category":"page"},{"location":"","page":"Home","title":"Home","text":"Generally one can use the jet_reconstruct interface, shown above, as the Best strategy safely as the overhead is extremely low. That interface supports a strategy option to switch to a different option.","category":"page"},{"location":"","page":"Home","title":"Home","text":"Another option, if one wishes to use a specific strategy, is to call that strategy's interface directly, e.g.,","category":"page"},{"location":"","page":"Home","title":"Home","text":"# For N2Plain strategy called directly\nplain_jet_reconstruct(particles::Vector{T}; p = -1, R = 1.0, recombine = +)","category":"page"},{"location":"","page":"Home","title":"Home","text":"Note that there is no strategy option in these interfaces.","category":"page"},{"location":"#Inclusive-and-Exclusive-Selections","page":"Home","title":"Inclusive and Exclusive Selections","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"To obtain final jets both inclusive (p_T cut) and exclusive (n_jets or d_ij cut) selections are supported:","category":"page"},{"location":"","page":"Home","title":"Home","text":"inclusive_jets(clusterseq::ClusterSequence, ptmin = 0.0)\nexclusive_jets(clusterseq::ClusterSequence; dcut = nothing, njets = nothing)","category":"page"},{"location":"#Sorting","page":"Home","title":"Sorting","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Sorting vectors is trivial in Julia, no special sorting methods are provided. As an example, to sort exclusive jets of 50 (usually GeV, depending on your EDM) from highest energy to lowest:","category":"page"},{"location":"","page":"Home","title":"Home","text":"sorted_jets = sort!(inclusive_jets(cs::ClusterSequence; ptmin=5.0), \n by=JetReconstruction.energy, rev=true)","category":"page"},{"location":"#Plotting-and-Animation","page":"Home","title":"Plotting and Animation","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"(Image: illustration)","category":"page"},{"location":"","page":"Home","title":"Home","text":"To visualise the clustered jets as a 3d bar plot (see illustration above) we now use Makie.jl. See the jetsplot function in ext/JetVisualisation.jl and its documentation for more. There are two worked examples in the examples directory.","category":"page"},{"location":"","page":"Home","title":"Home","text":"The plotting code is a package extension and will load if the one of the Makie modules is loaded in the environment.","category":"page"},{"location":"","page":"Home","title":"Home","text":"The animatereco function will animate the reconstruction sequence, given a ClusterSequence object. See the function documentation for the many options that can be customised.","category":"page"},{"location":"#Serialisation","page":"Home","title":"Serialisation","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"The package also provides methods such as loadjets, loadjets!, and savejets that one can use to save and load objects on/from disk easily in a very flexible format. See documentation for more.","category":"page"},{"location":"#Reference","page":"Home","title":"Reference","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Although it has been developed further since the CHEP2023 conference, the CHEP conference proceedings, 10.1051/epjconf/202429505017, should be cited if you use this package:","category":"page"},{"location":"","page":"Home","title":"Home","text":"@article{refId0,\n author = {{Stewart, Graeme Andrew} and {Gras, Philippe} and {Hegner, Benedikt} and {Krasnopolski, Atell}},\n doi = {10.1051/epjconf/202429505017},\n journal = {EPJ Web of Conf.},\n pages = {05017},\n title = {Polyglot Jet Finding},\n url = {https://doi.org/10.1051/epjconf/202429505017},\n volume = 295,\n year = 2024,\n eprint={2309.17309},\n archivePrefix={arXiv},\n primaryClass={hep-ex}\n}","category":"page"},{"location":"","page":"Home","title":"Home","text":"The original paper on arXiv is:","category":"page"},{"location":"","page":"Home","title":"Home","text":"@misc{stewart2023polyglot,\n title={Polyglot Jet Finding}, \n author={Graeme Andrew Stewart and Philippe Gras and Benedikt Hegner and Atell Krasnopolski},\n year={2023},\n eprint={2309.17309},\n archivePrefix={arXiv},\n primaryClass={hep-ex}\n}","category":"page"},{"location":"#Authors-and-Copyright","page":"Home","title":"Authors and Copyright","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Code in this package is authored by:","category":"page"},{"location":"","page":"Home","title":"Home","text":"Atell Krasnopolski \nGraeme A Stewart \nPhilippe Gras ","category":"page"},{"location":"","page":"Home","title":"Home","text":"and is Copyright 2022-2024 The Authors, CERN.","category":"page"},{"location":"","page":"Home","title":"Home","text":"The code is under the MIT License.","category":"page"},{"location":"lib/internal/#Jet-Reconstruction-Internal-Documentation","page":"Internal API","title":"Jet Reconstruction Internal Documentation","text":"","category":"section"},{"location":"lib/internal/","page":"Internal API","title":"Internal API","text":"Documentation for JetReconstruction.jl's internal methods and types.","category":"page"},{"location":"lib/internal/","page":"Internal API","title":"Internal API","text":"N.B. no guarantee is made of stability of these interfaces or types.","category":"page"},{"location":"lib/internal/","page":"Internal API","title":"Internal API","text":"CollapsedDocStrings = true","category":"page"},{"location":"lib/internal/#Index","page":"Internal API","title":"Index","text":"","category":"section"},{"location":"lib/internal/","page":"Internal API","title":"Internal API","text":"Pages = [\"internal.md\"]","category":"page"},{"location":"lib/internal/#Public-Interface","page":"Internal API","title":"Public Interface","text":"","category":"section"},{"location":"lib/internal/","page":"Internal API","title":"Internal API","text":"Modules = [JetReconstruction]\nPublic = false\nOrder = [:function, :type]","category":"page"},{"location":"lib/internal/#Base.:+-Tuple{PseudoJet, PseudoJet}","page":"Internal API","title":"Base.:+","text":"+(j1::PseudoJet, j2::PseudoJet)\n\nAddition operator for PseudoJet objects.\n\nArguments\n\nj1::PseudoJet: The first PseudoJet object.\nj2::PseudoJet: The second PseudoJet object.\n\nReturns\n\nA new PseudoJet object with the sum of the momenta and energy of j1 and j2.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#Base.copy-Tuple{JetReconstruction.TiledJet}","page":"Internal API","title":"Base.copy","text":"copy(j::TiledJet)\n\nCreate a copy of a TiledJet object.\n\nArguments\n\nj::TiledJet: The TiledJet object to be copied.\n\nReturns\n\nA new TiledJet object with the same attributes as the input object.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#Base.iterate","page":"Internal API","title":"Base.iterate","text":"Base.iterate(t::rightmost_tiles, state=1)\n\nIterate over the rightmost_tiles object, returning all the rightmost tiles for a given Cartesian tile index.\n\n\n\n\n\n","category":"function"},{"location":"lib/internal/#Base.iterate-2","page":"Internal API","title":"Base.iterate","text":"Base.iterate(t::neighbour_tiles, state=1)\n\nIterate over the neighbour_tiles object, returning all the neighbour tiles for a given Cartesian tile index.\n\n\n\n\n\n","category":"function"},{"location":"lib/internal/#Base.iterate-Tuple{JetReconstruction.TiledJet}","page":"Internal API","title":"Base.iterate","text":"Base.iterate(tj::TiledJet)\n\nIterate over a TiledJet object's linked list, walking over all jets until the end (then the next jet is invalid).\n\nArguments\n\ntj::TiledJet: The TiledJet object to start to iterate over.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#Base.show-Tuple{IO, PseudoJet}","page":"Internal API","title":"Base.show","text":"show(io::IO, jet::PseudoJet)\n\nPrint a PseudoJet object to the specified IO stream.\n\nArguments\n\nio::IO: The IO stream to which the information will be printed.\njet::PseudoJet: The PseudoJet object whose information will be printed.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#Base.tryparse-Tuple{Type{<:Enum}, String}","page":"Internal API","title":"Base.tryparse","text":"Base.tryparse(E::Type{<:Enum}, str::String)\n\nParser that converts a string to an enum value if it exists, otherwise returns nothing.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.CosTheta-Tuple{PseudoJet}","page":"Internal API","title":"JetReconstruction.CosTheta","text":"CosTheta(p::PseudoJet)\n\nCompute the cosine of the angle between the momentum vector p and the z-axis.\n\nArguments\n\np::PseudoJet: The PseudoJet object representing the momentum vector.\n\nReturns\n\nThe cosine of the angle between p and the z-axis.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction._ensure_valid_rap_phi-Tuple{PseudoJet}","page":"Internal API","title":"JetReconstruction._ensure_valid_rap_phi","text":"_ensure_valid_rap_phi(p::PseudoJet)\n\nEnsure that the rapidity and azimuthal angle of the PseudoJet p are valid. If the azimuthal angle is invalid (used as a proxy for both variables), they are set to a valid value using _set_rap_phi!.\n\nArguments\n\np::PseudoJet: The PseudoJet object to ensure valid rapidity and azimuthal angle for.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction._plain_jet_reconstruct-Tuple{}","page":"Internal API","title":"JetReconstruction._plain_jet_reconstruct","text":"_plain_jet_reconstruct(; particles::Vector{PseudoJet}, p = -1, R = 1.0, recombine = +)\n\nThis is the internal implementation of jet reconstruction using the plain algorithm. It takes a vector of particles representing the input particles and reconstructs jets based on the specified parameters. Here the particles must be of type PseudoJet.\n\nUsers of the package should use the plain_jet_reconstruct function as their entry point to this jet reconstruction.\n\nThe power value maps to specific pp jet reconstruction algorithms: -1 = AntiKt, 0 = Cambridge/Aachen, 1 = Inclusive Kt.\n\nArguments\n\nparticles: A vector of PseudoJet objects representing the input particles.\np=-1: The power to which the transverse momentum (pt) of each particle is raised.\nR=1.0: The jet radius parameter.\nrecombine: The recombination function used to merge two jets. Default is + (additive recombination).\n\nReturns\n\nclusterseq: The resulting ClusterSequence object representing the reconstructed jets.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction._set_rap_phi!-Tuple{PseudoJet}","page":"Internal API","title":"JetReconstruction._set_rap_phi!","text":"setrap_phi!(p::PseudoJet)\n\nSet the rapidity and azimuthal angle of the PseudoJet p.\n\nArguments\n\np::PseudoJet: The PseudoJet object for which to set the rapidity and azimuthal angle.\n\nDescription\n\nThis function calculates and sets the rapidity and azimuthal angle of the PseudoJet p based on its momentum components. The rapidity is calculated in a way that is insensitive to roundoff errors when the momentum components are large. If the PseudoJet represents a point with infinite rapidity, a large number is assigned to the rapidity in order to lift the degeneracy between different zero-pt momenta.\n\nNote - the ϕ angle is calculated in the range [0, 2π).\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction._tj_diJ-Tuple{Any}","page":"Internal API","title":"JetReconstruction._tj_diJ","text":"_tj_diJ(jet)\n\nCompute the dij metric value for a given jet.\n\nArguments\n\njet: The input jet.\n\nReturns\n\nThe dij value for the jet.\n\nExample\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction._tj_dist-Tuple{Any, Any}","page":"Internal API","title":"JetReconstruction._tj_dist","text":"_tj_dist(jetA, jetB)\n\nCompute the geometric distance in the (y, ϕ)-plane between two jets in the TiledAlgoLL module.\n\nArguments\n\njetA: The first jet.\njetB: The second jet.\n\nReturns\n\nThe squared distance between jetA and jetB.\n\nExamples\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.add_step_to_history!-Tuple{ClusterSequence, Vararg{Any, 4}}","page":"Internal API","title":"JetReconstruction.add_step_to_history!","text":"add_step_to_history!(clusterseq::ClusterSequence, parent1, parent2, jetp_index, dij)\n\nAdd a new jet's history into the recombination sequence.\n\nArguments:\n\nclusterseq::ClusterSequence: The cluster sequence object.\nparent1: The index of the first parent.\nparent2: The index of the second parent.\njetp_index: The index of the jet.\ndij: The dij value.\n\nThis function adds a new HistoryElement to the history vector of the clusterseq object. The HistoryElement contains information about the parents, child, jet index, dij value, and the maximum dij value so far. It also updates the child index of the parent elements.\n\nIf the parent1 or parent2 have already been recombined, an InternalError is thrown. The jetp_index is used to update the _cluster_hist_index of the corresponding PseudoJet object.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.add_untagged_neighbours_to_tile_union-NTuple{4, Any}","page":"Internal API","title":"JetReconstruction.add_untagged_neighbours_to_tile_union","text":"add_untagged_neighbours_to_tile_union(center_index, tile_union, n_near_tiles, tiling)\n\nAdds to the vector tileunion the tiles that are in the neighbourhood of the specified centerindex, including itself and whose tagged status are false - start adding from position nneartiles-1, and increase nneartiles. When a neighbour is added its tagged status is set to true.\n\nArguments\n\ncenter_index: The index of the center tile.\ntile_union: An array to store the indices of neighbouring tiles.\nn_near_tiles: The number of neighbouring tiles.\ntiling: The tiling object containing the tile tags.\n\nReturns\n\nThe updated number of near tiles.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.detach!-Tuple{JetReconstruction.TiledJet}","page":"Internal API","title":"JetReconstruction.detach!","text":"detach!(jet::TiledJet)\n\nDetach a TiledJet from its linked list by updating the previous and next pointers.\n\nArguments\n\njet::TiledJet: The TiledJet object to detach.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.determine_rapidity_extent-Union{Tuple{Vector{T}}, Tuple{T}} where T<:AbstractFloat","page":"Internal API","title":"JetReconstruction.determine_rapidity_extent","text":"determine_rapidity_extent(eta::Vector{T}) where T <: AbstractFloat\n\nCalculate the minimum and maximum rapidities based on the input vector eta. The function determines the rapidity extent by binning the multiplicities as a function of rapidity and finding the minimum and maximum rapidities such that the edge bins contain a certain fraction (~1/4) of the busiest bin and a minimum number of particles.\n\nThis is the heuristic which is used by FastJet (inline comments are from FastJet).\n\nArguments\n\neta::Vector{T}: A vector of rapidity values.\n\nReturns\n\nminrap::T: The minimum rapidity value.\nmaxrap::T: The maximum rapidity value.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.dij-NTuple{4, Any}","page":"Internal API","title":"JetReconstruction.dij","text":"dij(i, kt2_array, nn, nndist)\n\nCompute the dij value for a given index i to its nearest neighbor. The nearest neighbor is determined from nn[i], and the metric distance to the nearest neighbor is given by the distance nndist[i] applying the lower of the kt2_array values for the two particles.ßß\n\nArguments\n\ni: The index of the element.\nkt2_array: An array of kt2 values.\nnn: An array of nearest neighbors.\nnndist: An array of nearest neighbor distances.\n\nReturns\n\nThe computed dij value.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.dist-NTuple{4, Any}","page":"Internal API","title":"JetReconstruction.dist","text":"dist(i, j, rapidity_array, phi_array)\n\nCompute the distance between points in a 2D space defined by rapidity and phi coordinates.\n\nArguments\n\ni::Int: Index of the first point to consider (indexes into rapidity_array and phi_array).\nj::Int: Index of the second point to consider (indexes into rapidity_array and phi_array).\nrapidity_array::Vector{Float64}: Array of rapidity coordinates.\nphi_array::Vector{Float64}: Array of phi coordinates.\n\nReturns\n\ndistance::Float64: The distance between the two points.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.do_iB_recombination_step!-Tuple{ClusterSequence, Any, Any}","page":"Internal API","title":"JetReconstruction.do_iB_recombination_step!","text":"do_iB_recombination_step!(clusterseq::ClusterSequence, jet_i, diB)\n\nBookkeeping for recombining a jet with the beam (i.e., finalising the jet) by adding a step to the history of the cluster sequence.\n\nArguments\n\nclusterseq::ClusterSequence: The cluster sequence object.\njet_i: The index of the jet.\ndiB: The diB value.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.do_ij_recombination_step!","page":"Internal API","title":"JetReconstruction.do_ij_recombination_step!","text":"do_ij_recombination_step!(clusterseq::ClusterSequence, jet_i, jet_j, dij, recombine=+)\n\nPerform the bookkeeping associated with the step of recombining jeti and jetj (assuming a distance dij).\n\nArguments\n\nclusterseq::ClusterSequence: The cluster sequence object.\njet_i: The index of the first jet to be recombined.\njet_j: The index of the second jet to be recombined.\ndij: The distance between the two jets.\nrecombine=+: The recombination function to be used. Default is addition.\n\nReturns\n\nnewjet_k: The index of the newly created jet.\n\nDescription\n\nThis function performs the i-j recombination step in the cluster sequence. It creates a new jet by recombining the first two jets using the specified recombination function. The new jet is then added to the cluster sequence. The function also updates the indices and history information of the new jet and sorts out the history.\n\n\n\n\n\n","category":"function"},{"location":"lib/internal/#JetReconstruction.energy-Tuple{PseudoJet}","page":"Internal API","title":"JetReconstruction.energy","text":"energy(p::PseudoJet)\n\nReturn the energy of a PseudoJet.\n\nArguments\n\np::PseudoJet: The PseudoJet object.\n\nReturns\n\nThe energy of the PseudoJet.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.eta-Tuple{PseudoJet}","page":"Internal API","title":"JetReconstruction.eta","text":"eta(p::PseudoJet)\n\nCompute the pseudorapidity (η) of a PseudoJet.\n\nArguments\n\np::PseudoJet: The PseudoJet object for which to compute the pseudorapidity.\n\nReturns\n\nThe pseudorapidity (η) of the PseudoJet.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.fast_findmin-Tuple{Any, Any}","page":"Internal API","title":"JetReconstruction.fast_findmin","text":"fast_findmin(dij, n)\n\nFind the minimum value and its index in the first n elements of the dij array. The use of @turbo macro gives a significiant performance boost.\n\nArguments\n\ndij: An array of values.\nn: The number of elements to consider in the dij array.\n\nReturns\n\ndij_min: The minimum value in the first n elements of the dij array.\nbest: The index of the minimum value in the dij array.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.find_tile_neighbours!-NTuple{5, Any}","page":"Internal API","title":"JetReconstruction.find_tile_neighbours!","text":"find_tile_neighbours!(tile_union, jetA, jetB, oldB, tiling)\n\nFind the union of neighbouring tiles of jetA, jetB, and oldB and add them to the tile_union. This established the set of tiles over which searches for updated and new nearest-neighbours must be run\n\nArguments\n\ntile_union: The tile union to which the neighbouring tiles will be added.\njetA: The first jet.\njetB: The second jet.\noldB: The old second jet.\ntiling: The tiling information.\n\nReturns\n\nThe number of neighbouring tiles added to the tile_union.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.geometric_distance-NTuple{4, AbstractFloat}","page":"Internal API","title":"JetReconstruction.geometric_distance","text":"geometric_distance(eta1::AbstractFloat, phi1::AbstractFloat, eta2::AbstractFloat, phi2::AbstractFloat)\n\nCompute the geometric distance between two points in the rap-phi plane.\n\nArguments\n\neta1::AbstractFloat: The eta coordinate of the first point.\nphi1::AbstractFloat: The phi coordinate of the first point.\neta2::AbstractFloat: The eta coordinate of the second point.\nphi2::AbstractFloat: The phi coordinate of the second point.\n\nReturns\n\ndistance::Float64: The geometric distance between the two points.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.get_all_ancestors-Tuple{Any, ClusterSequence}","page":"Internal API","title":"JetReconstruction.get_all_ancestors","text":"get_all_ancestors(idx, cs::ClusterSequence)\n\nRecursively finds all ancestors of a given index in a ClusterSequence object.\n\nArguments\n\nidx: The index of the jet for which to find ancestors.\ncs: The ClusterSequence object containing the jet history.\n\nReturns\n\nAn array of indices representing the ancestors of the given jet.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.get_dij_dist-NTuple{4, Any}","page":"Internal API","title":"JetReconstruction.get_dij_dist","text":"get_dij_dist(nn_dist, kt2_1, kt2_2, R2)\n\nCompute the dij metric distance between two jets.\n\nArguments\n\nnn_dist: The nearest-neighbor distance between two jets.\nkt2_1: The squared momentum metric value of the first jet.\nkt2_2: The squared momentum metric value of the second jet.\nR2: The jet radius parameter squared.\n\nReturns\n\nThe distance between the two jets.\n\nIf kt2_2 is equal to 0.0, then the first jet doesn't actually have a valid neighbour, so it's treated as a single jet adjecent to the beam.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.get_tile-Tuple{JetReconstruction.TilingDef, AbstractFloat, AbstractFloat}","page":"Internal API","title":"JetReconstruction.get_tile","text":"get_tile(tiling_setup::TilingDef, eta::AbstractFloat, phi::AbstractFloat)\n\nGiven a tiling_setup object, eta and phi values, this function calculates the tile indices for the given eta and phi values.\n\nArguments\n\ntiling_setup: A TilingDef object that contains the tiling setup parameters.\neta: The eta value for which to calculate the tile index.\nphi: The phi value for which to calculate the tile index.\n\nReturns\n\nieta: The tile index along the eta direction.\niphi: The tile index along the phi direction.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.get_tile_cartesian_indices-Tuple{JetReconstruction.TilingDef, Int64}","page":"Internal API","title":"JetReconstruction.get_tile_cartesian_indices","text":"get_tile_linear_index(tiling_setup::TilingDef, i_η::Int, i_ϕ::Int)\n\nCompute the linear index of a tile in a tiled setup. This is much faster in this function than using the LinearIndices construct (like x100, which is bonkers, but there you go...)\n\nArguments\n\ntiling_setup::TilingDef: The tiling setup defining the number of tiles in each dimension.\ni_η::Int: The index of the tile in the η dimension.\ni_ϕ::Int: The index of the tile in the ϕ dimension.\n\nReturns\n\nThe linear index of the tile.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.initial_history-Tuple{Any}","page":"Internal API","title":"JetReconstruction.initial_history","text":"initial_history(particles)\n\nCreate an initial history for the given particles.\n\nArguments\n\nparticles: The initial vector of stable particles.\n\nReturns\n\nhistory: An array of HistoryElement objects.\nQtot: The total energy in the event.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.insert!-Tuple{JetReconstruction.TiledJet, JetReconstruction.TiledJet}","page":"Internal API","title":"JetReconstruction.insert!","text":"insert!(nextjet::TiledJet, jettomove::TiledJet)\n\nInserts a TiledJet object into the linked list of TiledJet objects, before the nextjet object. The jet to move can be an isolated jet, a jet from another list or a jet from the same list\n\nArguments\n\nnextjet::TiledJet: The TiledJet object after which jettomove should be inserted.\njettomove::TiledJet: The TiledJet object to be inserted.\n\nExample\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.isvalid-Tuple{JetReconstruction.TiledJet}","page":"Internal API","title":"JetReconstruction.isvalid","text":"isvalid(t::TiledJet)\n\nCheck if a TiledJet is valid, by seeing if it is not the noTiledJet object.\n\nArguments\n\nt::TiledJet: The TiledJet object to check.\n\nReturns\n\nBool: true if the TiledJet object is valid, false otherwise.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.jet_ranks-Tuple{ClusterSequence}","page":"Internal API","title":"JetReconstruction.jet_ranks","text":"jet_ranks(clusterseq::ClusterSequence; compare_fn = JetReconstruction.pt)\n\nCompute the ranks of jets in a given ClusterSequence object based on a specified comparison function.\n\nArguments\n\nclusterseq::ClusterSequence: The ClusterSequence object containing the jets to rank.\ncompare_fn = JetReconstruction.pt: The comparison function used to determine the order of the jets. Defaults to JetReconstruction.pt, which compares jets based on their transverse momentum.\n\nReturns\n\nA dictionary mapping each jet index to its rank.\n\nNote\n\nThis is a utility function that can be used to rank initial clusters based on a specified jet property. It can be used to assign a consistent \"rank\" to each reconstructed jet in the cluster sequence, which is useful for stable plotting of jet outputs.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.m-Tuple{PseudoJet}","page":"Internal API","title":"JetReconstruction.m","text":"m(p::PseudoJet)\n\nCompute the invariant mass of a PseudoJet object. By convention if m^2 < 0, then -sqrt{(-m^2)} is returned.\n\nArguments\n\np::PseudoJet: The PseudoJet object for which to compute the invariant mass.\n\nReturns\n\nThe invariant mass of the PseudoJet object.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.m2-Tuple{PseudoJet}","page":"Internal API","title":"JetReconstruction.m2","text":"m2(p::PseudoJet)\n\nCalculate the invariant mass squared (m^2) of a PseudoJet.\n\nArguments\n\np::PseudoJet: The PseudoJet object for which to calculate the invariant mass squared.\n\nReturns\n\nThe invariant mass squared (m^2) of the PseudoJet.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.mag-Tuple{PseudoJet}","page":"Internal API","title":"JetReconstruction.mag","text":"mag(p::PseudoJet)\n\nReturn the magnitude of the momentum of a PseudoJet, |p|.\n\nArguments\n\np::PseudoJet: The PseudoJet object for which to compute the magnitude.\n\nReturns\n\nThe magnitude of the PseudoJet object.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.mass-Tuple{PseudoJet}","page":"Internal API","title":"JetReconstruction.mass","text":"mass(p::PseudoJet)\n\nCompute the invariant mass (alias for m(p)).\n\nArguments\n\np::PseudoJet: The PseudoJet object for which to compute the mass.\n\nReturns\n\nThe mass of the PseudoJet.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.mass2","page":"Internal API","title":"JetReconstruction.mass2","text":"Alias for m2 function\n\n\n\n\n\n","category":"function"},{"location":"lib/internal/#JetReconstruction.merge_steps-Tuple{ClusterSequence}","page":"Internal API","title":"JetReconstruction.merge_steps","text":"merge_steps(clusterseq::ClusterSequence)\n\nCompute the number of jet-jet merge steps in a cluster sequence. This is useful to give the number of meaningful recombination steps in a jet reconstruction sequence (beam merge steps are not counted).\n\nArguments\n\nclusterseq::ClusterSequence: The cluster sequence object.\n\nReturns\n\nmerge_steps::Int: The number of merge steps.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.phi-Tuple{PseudoJet}","page":"Internal API","title":"JetReconstruction.phi","text":"phi(p::PseudoJet)\n\nCompute the ϕ angle of a PseudoJet object p.\n\nNote this function is a wrapper for phi_02pi(p).\n\nArguments\n\np::PseudoJet: The PseudoJet object for which to compute the azimuthal angle.\n\nReturns\n\nThe azimuthal angle of p in the range [0, 2π).\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.phi_02pi-Tuple{PseudoJet}","page":"Internal API","title":"JetReconstruction.phi_02pi","text":"phi_02pi(p::PseudoJet)\n\nCompute the azimuthal angle of a PseudoJet object p in the range [0, 2π).\n\nArguments\n\np::PseudoJet: The PseudoJet object for which to compute the azimuthal angle.\n\nReturns\n\nThe azimuthal angle of p in the range [0, 2π).\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.pt-Tuple{PseudoJet}","page":"Internal API","title":"JetReconstruction.pt","text":"pt(p::PseudoJet)\n\nCompute the scalar transverse momentum (pt) of a PseudoJet.\n\nArguments\n\np::PseudoJet: The PseudoJet object for which to compute the transverse momentum.\n\nReturns\n\nThe transverse momentum (pt) of the PseudoJet.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.pt2-Tuple{PseudoJet}","page":"Internal API","title":"JetReconstruction.pt2","text":"pt2(p::PseudoJet)\n\nGet the squared transverse momentum of a PseudoJet.\n\nArguments\n\np::PseudoJet: The PseudoJet object.\n\nReturns\n\nThe squared transverse momentum of the PseudoJet.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.px-Tuple{PseudoJet}","page":"Internal API","title":"JetReconstruction.px","text":"px(p::PseudoJet)\n\nReturn the x-component of the momentum of a PseudoJet.\n\nArguments\n\np::PseudoJet: The PseudoJet object.\n\nReturns\n\nThe x-component of the momentum of the PseudoJet.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.py-Tuple{PseudoJet}","page":"Internal API","title":"JetReconstruction.py","text":"py(p::PseudoJet)\n\nReturn the y-component of the momentum of a PseudoJet.\n\nArguments\n\np::PseudoJet: The PseudoJet object.\n\nReturns\n\nThe y-component of the momentum of the PseudoJet.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.pz-Tuple{PseudoJet}","page":"Internal API","title":"JetReconstruction.pz","text":"pz(p::PseudoJet)\n\nReturn the z-component of the momentum of a PseudoJet.\n\nArguments\n\np::PseudoJet: The PseudoJet object.\n\nReturns\n\nThe z-component of the momentum of the PseudoJet.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.rapidity-Tuple{PseudoJet}","page":"Internal API","title":"JetReconstruction.rapidity","text":"rapidity(p::PseudoJet)\n\nCompute the rapidity of a PseudoJet object.\n\nArguments\n\np::PseudoJet: The PseudoJet object for which to compute the rapidity.\n\nReturns\n\nThe rapidity of the PseudoJet object.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.reco_state-Tuple{ClusterSequence, Any}","page":"Internal API","title":"JetReconstruction.reco_state","text":"reco_state(cs::ClusterSequence, pt_ranks; iteration=0)\n\nThis function returns the reconstruction state of a ClusterSequence object based on a given iteration number in the reconstruction.\n\nArguments\n\ncs::ClusterSequence: The ClusterSequence object to update.\nranks: The ranks of the original clusters, that are inherited by peudojets\n\nduring the reconstruction process.\n\niteration=0: The iteration number to consider for updating the reconstruction state (0 represents the initial state).\nignore_beam_merge=true: Ignore beam merging steps in the reconstruction (which produce no change in status).\n\nReturns\n\nA dictionary representing a snapshot of the reconstruction state.\n\nDetails\n\nThe function starts by initializing the reconstruction state with the initial particles. Then, it walks over the iteration sequence and updates the reconstruction state based on the history of recombination and finalization/beam merger steps.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.rightneighbours-Tuple{Int64, JetReconstruction.Tiling}","page":"Internal API","title":"JetReconstruction.rightneighbours","text":"rightneighbours(center::Int, tiling::Tiling)\n\nCompute the indices of the right neighbors of a given center index in a tiling. This is used in the inital sweep to calculate the nearest neighbors, where the search between jets for the nearest neighbour is bi-directional, thus when a tile is considered only the right neighbours are needed to compare jet distances as the left-hand tiles have been done from that tile already.\n\nArguments\n\ncenter::Int: The center index.\ntiling::Tiling: The tiling object.\n\nReturns\n\nSurrounding: An object containing the indices of the right neighbors.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.set_momentum!-Tuple{PseudoJet, Vararg{Any, 4}}","page":"Internal API","title":"JetReconstruction.set_momentum!","text":"set_momentum!(j::PseudoJet, px, py, pz, E)\n\nSet the momentum components and energy of a PseudoJet object.\n\nArguments\n\nj::PseudoJet: The PseudoJet object to set the momentum for.\npx: The x-component of the momentum.\npy: The y-component of the momentum.\npz: The z-component of the momentum.\nE: The energy of the particle.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.set_nearest_neighbours!-Tuple{ClusterSequence, JetReconstruction.Tiling, Vector{JetReconstruction.TiledJet}}","page":"Internal API","title":"JetReconstruction.set_nearest_neighbours!","text":"set_nearest_neighbours!(clusterseq::ClusterSequence, tiling::Tiling, tiledjets::Vector{TiledJet})\n\nThis function sets the nearest neighbor information for all jets in the tiledjets vector.\n\nArguments\n\nclusterseq::ClusterSequence: The cluster sequence object.\ntiling::Tiling: The tiling object.\ntiledjets::Vector{TiledJet}: The vector of tiled jets.\n\nReturns\n\nNNs::Vector{TiledJet}: The vector of nearest neighbor jets.\ndiJ::Vector{Float64}: The vector of diJ values.\n\nThe function iterates over each tile in the tiling and sets the nearest neighbor information for each jet in the tile. It then looks for neighbor jets in the neighboring tiles and updates the nearest neighbor information accordingly. Finally, it creates the diJ table and returns the vectors of nearest neighbor jets and diJ values.\n\nNote: The diJ values are calculated as the kt distance multiplied by R^2.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.setup_tiling-Union{Tuple{T}, Tuple{Vector{T}, AbstractFloat}} where T<:AbstractFloat","page":"Internal API","title":"JetReconstruction.setup_tiling","text":"setup_tiling(eta::Vector{T}, Rparam::AbstractFloat) where T <: AbstractFloat\n\nThis function sets up the tiling parameters for a reconstruction given a vector of rapidities eta and a radius parameter Rparam.\n\nArguments\n\neta::Vector{T}: A vector of rapidities.\nRparam::AbstractFloat: The jet radius parameter.\n\nReturns\n\ntiling_setup: A TilingDef object containing the tiling setup parameters.\n\nDescription\n\nThe function first decides the tile sizes based on the Rparam value. It then determines the number of tiles in the phi direction (n_tiles_phi) based on the tile size. Next, it determines the rapidity extent of the input eta vector and adjusts the values accordingly. Finally, it creates a TilingDef object with the calculated tiling parameters and returns it.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.surrounding-Tuple{Int64, JetReconstruction.Tiling}","page":"Internal API","title":"JetReconstruction.surrounding","text":"surrounding(center::Int, tiling::Tiling)\n\nCompute the surrounding indices of a given center index in a tiling.\n\nArguments\n\ncenter::Int: The center index.\ntiling::Tiling: The tiling object.\n\nReturns\n\nSurrounding: An object containing the surrounding indices.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.tile_index-Tuple{Any, Float64, Float64}","page":"Internal API","title":"JetReconstruction.tile_index","text":"tile_index(tiling_setup, eta::Float64, phi::Float64)\n\nCompute the tile index for a given (eta, phi) coordinate.\n\nArguments\n\ntiling_setup: The tiling setup object containing the tile size and number of tiles.\neta::Float64: The eta coordinate.\nphi::Float64: The phi coordinate.\n\nReturns\n\nThe tile index corresponding to the (eta, phi) coordinate.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.tiledjet_remove_from_tiles!-Tuple{Any, Any}","page":"Internal API","title":"JetReconstruction.tiledjet_remove_from_tiles!","text":"tiledjet_remove_from_tiles!(tiling, jet)\n\nRemove a jet from the given tiling structure.\n\nArguments\n\ntiling: The tiling structure from which the jet will be removed.\njet: The jet to be removed from the tiling structure.\n\nDescription\n\nThis function removes a jet from the tiling structure. It adjusts the linked list to be consistent with the removal of the jet.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.tiledjet_set_jetinfo!-Tuple{JetReconstruction.TiledJet, ClusterSequence, JetReconstruction.Tiling, Any, Any, Any}","page":"Internal API","title":"JetReconstruction.tiledjet_set_jetinfo!","text":"tiledjet_set_jetinfo!(jet::TiledJet, clusterseq::ClusterSequence, tiling::Tiling, jets_index, R2, p)\n\nInitialise a tiled jet from a PseudoJet (using an index into our ClusterSequence)\n\nArguments:\n\njet::TiledJet: The TiledJet object to set the information for.\nclusterseq::ClusterSequence: The ClusterSequence object containing the jets.\ntiling::Tiling: The Tiling object containing the tile information.\njets_index: The index of the jet in the ClusterSequence.\nR2: The jet radius parameter squared.\np: The power to raise the pt2 value to.\n\nThis function sets the eta, phi, kt2, jetsindex, NNdist, NN, tile_index, previous, and next fields of the TiledJet object.\n\nReturns:\n\nnothing\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.upd_nn_crosscheck!-Tuple{Int64, Int64, Int64, Vararg{Any, 5}}","page":"Internal API","title":"JetReconstruction.upd_nn_crosscheck!","text":"upd_nn_crosscheck!(i, from, to, rapidity_array, phi_array, R2, nndist, nn)\n\nUpdate the nearest neighbor information for a given particle index i against all particles in the range indexes from to to. The function updates the nndist and nn arrays with the nearest neighbor distance and index respectively, both for particle i and the checked particles [from:to] (hence crosscheck).\n\nArguments\n\ni::Int: The index of the particle to update and check against.\nfrom::Int: The starting index of the range of particles to check against.\nto::Int: The ending index of the range of particles to check against.\nrapidity_array: An array containing the rapidity values of all particles.\nphi_array: An array containing the phi values of the all particles.\nR2: The squared jet distance threshold for considering a particle as a neighbour.\nnndist: The array that stores the nearest neighbor distances.\nnn: The array that stores the nearest neighbor indices.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.upd_nn_nocross!-Tuple{Int64, Int64, Int64, Vararg{Any, 5}}","page":"Internal API","title":"JetReconstruction.upd_nn_nocross!","text":"upd_nn_nocross!(i, from, to, rapidity_array, phi_array, R2, nndist, nn)\n\nUpdate the nearest neighbor information for a given particle index i against all particles in the range indexes from to to. The function updates the nndist and nn arrays with the nearest neighbor distance and index respectively, only for particle i (hence nocross).\n\nArguments\n\ni::Int: The index of the particle to update and check against.\nfrom::Int: The starting index of the range of particles to check against.\nto::Int: The ending index of the range of particles to check against.\nrapidity_array: An array containing the rapidity values of all particles.\nphi_array: An array containing the phi values of the all particles.\nR2: The squared jet distance threshold for considering a particle as a neighbour.\nnndist: The array that stores the nearest neighbor distances.\nnn: The array that stores the nearest neighbor indices.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.upd_nn_step!-NTuple{12, Any}","page":"Internal API","title":"JetReconstruction.upd_nn_step!","text":"upd_nn_step!(i, j, k, N, Nn, kt2_array, rapidity_array, phi_array, R2, nndist, nn, nndij)\n\nUpdate the nearest neighbor information after a jet merge step.\n\nArguments:\n\ni: Index of the first particle in the last merge step.\nj: Index of the second particle in the last merge step.\nk: Index of the current particle for which the nearest neighbour will be updated.\nN: Total number of particles (currently vaild array indexes are [1:N]).\nNn: Number of nearest neighbors to consider.\nkt2_array: Array of transverse momentum squared values.\nrapidity_array: Array of rapidity values.\nphi_array: Array of azimuthal angle values.\nR2: Distance threshold squared for nearest neighbors.\nnndist: Array of nearest neighbor geometric distances.\nnn: Array of nearest neighbor indices.\nnndij: Array of metric distances between particles.\n\nThis function updates the nearest neighbor information for the current particle k by considering the distances to particles i and j. It checks if the distance between k and i is smaller than the current nearest neighbor distance for k, and updates the nearest neighbor information accordingly. It also updates the nearest neighbor information for i if the distance between k and i is smaller than the current nearest neighbor distance for i. Finally, it checks if the nearest neighbor of k is the total number of particles Nn and updates it to j if necessary.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.η","page":"Internal API","title":"JetReconstruction.η","text":"const η = eta\n\nAlias for the pseudorapidity function, eta.\n\n\n\n\n\n","category":"function"},{"location":"lib/internal/#JetReconstruction.FourMomentum","page":"Internal API","title":"JetReconstruction.FourMomentum","text":"Interface for composite types that includes fields px, py, py, and E that represents the components of a four-momentum vector.\n\n\n\n\n\n","category":"type"},{"location":"lib/internal/#JetReconstruction.HistoryElement","page":"Internal API","title":"JetReconstruction.HistoryElement","text":"struct HistoryElement\n\nA struct holding a record of jet mergers and finalisations\n\nFields:\n\nparent1: Index in history where first parent of this jet was created (NonexistentParent if this jet is an original particle)\nparent2: Index in history where second parent of this jet was created (NonexistentParent if this jet is an original particle); BeamJet if this history entry just labels the fact that the jet has recombined with the beam)\nchild: Index in history where the current jet is recombined with another jet to form its child. It is Invalid if this jet does not further recombine.\njetp_index: Index in the jets vector where we will find the PseudoJet object corresponding to this jet (i.e. the jet created at this entry of the history). NB: if this element of the history corresponds to a beam recombination, then jetp_index=Invalid.\ndij: The distance corresponding to the recombination at this stage of the clustering.\nmax_dij_so_far: The largest recombination distance seen so far in the clustering history.\n\n\n\n\n\n","category":"type"},{"location":"lib/internal/#JetReconstruction.HistoryElement-Tuple{Any}","page":"Internal API","title":"JetReconstruction.HistoryElement","text":"HistoryElement(jetp_index)\n\nConstructs a HistoryElement object with the given jetp_index, used for initialising the history with original particles.\n\nArguments\n\njetp_index: The index of the jetp.\n\nReturns\n\nA HistoryElement object.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.JetWithAncestors","page":"Internal API","title":"JetReconstruction.JetWithAncestors","text":"struct JetWithAncestors\n\nA struct representing a jet with its origin ancestors.\n\nFields\n\nself::PseudoJet: The PseudoJet object for this jet.\njetp_index::Int: The index of the jet in the corresponding cluster sequence.\nancestors::Set{Int}: A set of indices representing the jetp_indexes of ancestors of the jet (in the cluster sequence).\njet_rank::Int: The rank of the jet based on a comparison of all of the jet's ancestors\n\nNote\n\nThis structure needs its associated cluster sequence origin to be useful.\n\n\n\n\n\n","category":"type"},{"location":"lib/internal/#JetReconstruction.Surrounding","page":"Internal API","title":"JetReconstruction.Surrounding","text":"struct Surrounding{N}\n\nStructure used for iterating over neighbour tiles.\n\nFields\n\nindices::NTuple{N, Int}: A tuple of N integers representing the indices.\n\n\n\n\n\n","category":"type"},{"location":"lib/internal/#JetReconstruction.TiledJet","page":"Internal API","title":"JetReconstruction.TiledJet","text":"struct TiledJet\n\nTiledJet represents a jet in a tiled algorithm for jet reconstruction, with additional information to track the jet's position in the tiled structures.\n\nFields\n\nid::Int: The ID of the jet.\neta::Float64: The rapidity of the jet.\nphi::Float64: The azimuthal angle of the jet.\nkt2::Float64: The transverse momentum squared of the jet.\nNN_dist::Float64: The distance to the nearest neighbor.\njets_index::Int: The index of the jet in the jet array.\ntile_index::Int: The index of the tile in the tile array.\ndij_posn::Int: The position of this jet in the dij compact array.\nNN::TiledJet: The nearest neighbor.\nprevious::TiledJet: The previous jet.\nnext::TiledJet: The next jet.\n\n\n\n\n\n","category":"type"},{"location":"lib/internal/#JetReconstruction.TiledJet-Tuple{Any}","page":"Internal API","title":"JetReconstruction.TiledJet","text":"TiledJet(id)\n\nConstructs a TiledJet object with the given id and initializes its properties to zero.\n\nArguments\n\nid: The ID of the TiledJet object.\n\nReturns\n\nA TiledJet object with the specified id and values set to zero or noTiledJet.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.Tiling","page":"Internal API","title":"JetReconstruction.Tiling","text":"struct Tiling\n\nThe Tiling struct represents a tiling configuration for jet reconstruction.\n\nFields\n\nsetup::TilingDef: The tiling definition used for the configuration.\ntiles::Matrix{TiledJet}: A matrix of tiled jets, containing the first jet in each tile (then the linked list of the first jet is followed to get access to all jets in this tile).\npositions::Matrix{Int}: Used to track tiles that are on the edge of ϕ array, where neighbours need to be wrapped around.\ntags::Matrix{Bool}: The matrix of tags indicating whether a tile is valid or not (set to false initially, then true when the tile has been setup properly).\n\n\n\n\n\n","category":"type"},{"location":"lib/internal/#JetReconstruction.Tiling-Tuple{JetReconstruction.TilingDef}","page":"Internal API","title":"JetReconstruction.Tiling","text":"Tiling(setup::TilingDef)\n\nConstructs a intial Tiling object based on the provided setup parameters.\n\nArguments\n\nsetup::TilingDef: The setup parameters for the tiling.\n\nReturns\n\nA Tiling object.\n\n\n\n\n\n","category":"method"},{"location":"lib/internal/#JetReconstruction.TilingDef","page":"Internal API","title":"JetReconstruction.TilingDef","text":"struct TilingDef\n\nA struct representing the definition of a spcific tiling scheme.\n\nFields\n\n_tiles_eta_min::Float64: The minimum rapidity of the tiles.\n_tiles_eta_max::Float64: The maximum rapidity of the tiles.\n_tile_size_eta::Float64: The size of a tile in rapidity (usually R^2).\n_tile_size_phi::Float64: The size of a tile in phi (usually a bit more than R^2).\n_n_tiles_eta::Int: The number of tiles across rapidity.\n_n_tiles_phi::Int: The number of tiles across phi.\n_n_tiles::Int: The total number of tiles.\n_tiles_ieta_min::Int: The minimum rapidity tile index.\n_tiles_ieta_max::Int: The maximum rapidity tile index.\n\nConstructor\n\nTilingDef(_tiles_eta_min, _tiles_eta_max, _tile_size_eta, _tile_size_phi,\n\t_n_tiles_eta, _n_tiles_phi, _tiles_ieta_min, _tiles_ieta_max)\n\nConstructs a TilingDef object with the given parameters.\n\n\n\n\n\n","category":"type"},{"location":"lib/internal/#JetReconstruction.neighbour_tiles","page":"Internal API","title":"JetReconstruction.neighbour_tiles","text":"struct neighbour_tiles\n\nA struct representing the neighbouring tiles.\n\nA struct for iterating over all neighbour tiles for a given Cartesian tile index. These are the tiles above and to the right of the given tile (X=included, O=not included):\n\nXXX\nX.X\nXXX\n\nNote, rapidity coordinate must be in range, ϕ coordinate wraps\n\nFields\n\nn_η::Int: Number of η tiles\nn_ϕ::Int: Number of ϕ tiles\nstart_η::Int: Centre η tile coordinate\nstart_ϕ::Int: Centre ϕ tile coordinate\n\n\n\n\n\n","category":"type"},{"location":"lib/internal/#JetReconstruction.rightmost_tiles","page":"Internal API","title":"JetReconstruction.rightmost_tiles","text":"struct rightmost_tiles\n\nA struct for iterating over rightmost tiles for a given Cartesian tile index. These are the tiles above and to the right of the given tile (X=included, O=not included):\n\nXXX\nO.X\nOOO\n\nNote, rapidity coordinate must be in range, ϕ coordinate wraps\n\nFields\n\nn_η::Int: Number of η tiles\nn_ϕ::Int: Number of ϕ tiles\nstart_η::Int: Centre η tile coordinate\nstart_ϕ::Int: Centre ϕ tile coordinate\n\n\n\n\n\n","category":"type"},{"location":"lib/visualisation/#Jet-Visualisation-Documentation","page":"Visualisation API","title":"Jet Visualisation Documentation","text":"","category":"section"},{"location":"lib/visualisation/","page":"Visualisation API","title":"Visualisation API","text":"Documentation for visualisation interfaces extension module.","category":"page"},{"location":"lib/visualisation/#Index","page":"Visualisation API","title":"Index","text":"","category":"section"},{"location":"lib/visualisation/","page":"Visualisation API","title":"Visualisation API","text":"Pages = [\"visualisation.md\"]","category":"page"},{"location":"lib/visualisation/#Jet-Visualisation-Public-Interfaces","page":"Visualisation API","title":"Jet Visualisation Public Interfaces","text":"","category":"section"},{"location":"lib/visualisation/","page":"Visualisation API","title":"Visualisation API","text":"Modules = [JetVisualisation]\nOrder = [:function]","category":"page"},{"location":"lib/visualisation/#JetReconstruction.animatereco-Tuple{ClusterSequence, Any}","page":"Visualisation API","title":"JetReconstruction.animatereco","text":"animatereco(cs::ClusterSequence, filename;\n barsize_phi = 0.1,\n barsize_y = 0.1,\n colormap = :glasbey_category10_n256,\n perspective = 0.5,\n azimuth = 2.7,\n elevation = 0.5,\n framerate = 5,\n ancestors = false,\n Module = Makie)\n\nAnimate the jet reconstruction process and save it as a video file.\n\nArguments\n\ncs::ClusterSequence: The cluster sequence object containing the jets.\nfilename: The name of the output video file.\n\nOptional Arguments\n\nbarsize_phi=0.1: The size of the bars in the phi direction.\nbarsize_y=0.1: The size of the bars in the y direction.\ncolormap=:glasbey_category10_n256: The colormap to use for coloring the jets.\nperspective=0.5: The perspective of the plot.\nazimuth=2.7: The azimuth angle of the plot.\nelevation=0.5: The elevation angle of the plot.\nframerate=5: The framerate of the output video.\nend_frames=0: The number of static frames to show at the end of the animation. This can be useful to show the final state of the jets for a longer time.\ntitle=nothing: The title to add to the plot.\nancestors=false: Whether to include ancestors of the jets in the animation. When true the ancestors of the jets will be plotted as well, as height zero bars, with the same colour as the jet they are ancestors of.\nModule: The plotting module to use. Default is Makie.\n\nFor perspective, azimuth, and elevation, a single value can be passed for a fixed viewpoint, or a tuple of two values for a changing viewpoint. The viewpoint will then change linearly between the two values over the course of the animation.\n\nReturns\n\nfig: The figure object representing the final frame.\n\n\n\n\n\n","category":"method"},{"location":"lib/visualisation/#JetReconstruction.jetsplot-Tuple{Any, Any}","page":"Visualisation API","title":"JetReconstruction.jetsplot","text":"jetsplot(objects, idx_arrays; barsize_phi=0.1, barsize_eta=0.1, colormap=:glasbey_hv_n256, Module=Main)\n\nPlots a 3d bar chart that represents jets. Takes an objects array of objects to display and idx_arrays, an array of arrays with indeces, where idx_arrays[i] gives indeces of objects that form the jet number i. This function's signature might not be the most practical for the current version of the JetReconstruction.jl package, as it has been written during the early stage of development. There is now an overload of it that takes a ClusterSequence object as its argument.\n\nOptional arguments: barsize_phi::Real — width of a bar along the ϕ axis; barsize_eta::Real — width of a bar along the η axis; colormap::Symbol — Makie colour map; Module — the module where you have your Makie (see below);\n\n# example\nusing CairoMakie # use any other Makie that you have here\n\njetsplot([object1, object2, object3], [[1], [2, 3]])\n\nThe example above plots object1 as a separate jet in one colour and object2 and object3 together in another colour.\n\nThis function needs Makie.jl to work. You should install and import/use a specific backend yourself. jetsplot works with CairoMakie, WGLMakie, GLMakie, etc. Additionally, you can specify the module where you have your Makie explicitly:\n\nimport CairoMakie\njetsplot(my_objects, my_colour_arrays, Module=CairoMakie)\n\nimport GLMakie\njetsplot(my_objects, my_colour_arrays, Module=GLMakie)\n\nusing WGLMakie\njetsplot(my_objects, my_colour_arrays, Module=Main) #default\n\n\n\n\n\n","category":"method"},{"location":"lib/visualisation/#JetReconstruction.jetsplot-Tuple{Any, ClusterSequence}","page":"Visualisation API","title":"JetReconstruction.jetsplot","text":"jetsplot(objects, cs::ClusterSequence; barsize_phi=0.1, barsize_eta=0.1, colormap=:glasbey_hv_n256, Module=Main)\n\nPlots a 3d bar chart that represents jets. Takes objects, an array of objects to display (should be the same array you have passed to jet_reconstruct to get the cs::ClusterSequence), and the cs::ClusterSequence itself as arguments.\n\nOptional arguments: barsize_phi::Real — width of a bar along the ϕ axis; barsize_eta::Real — width of a bar along the η axis; colormap::Symbol — Makie colour map; Module — the module where you have your Makie (see below);\n\n# example\nusing CairoMakie # use any other Makie that you have here\njetsplot([object1, object2, object3], cluster_sequence_I_got_from_jet_reconstruct; Module=CairoMakie)\n\nThis function needs Makie.jl to work. You should install and import/use a specific backend yourself. jetsplot works with CairoMakie, WGLMakie, GLMakie, etc. Additionally, you can specify the module where you have your Makie explicitly:\n\nimport CairoMakie\njetsplot(my_objects, cs, Module=CairoMakie)\n\nimport GLMakie\njetsplot(my_objects, cs, Module=GLMakie)\n\nusing WGLMakie\njetsplot(my_objects, cs, Module=Main) #default\n\n\n\n\n\n","category":"method"}] -}

Jet Reconstruction Internal Documentation