From 8332541371993602fe38dbec47a20dfc366d18ce Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Wed, 25 Sep 2024 21:17:47 +0000 Subject: [PATCH] build based on bab2346 --- stable | 2 +- v0.1 | 2 +- v0.1.1/.documenter-siteinfo.json | 1 + v0.1.1/api/index.html | 116 ++ v0.1.1/assets/commithash.png | Bin 0 -> 262028 bytes v0.1.1/assets/documenter.js | 1064 +++++++++++++++++ v0.1.1/assets/themes/catppuccin-frappe.css | 1 + v0.1.1/assets/themes/catppuccin-latte.css | 1 + v0.1.1/assets/themes/catppuccin-macchiato.css | 1 + v0.1.1/assets/themes/catppuccin-mocha.css | 1 + v0.1.1/assets/themes/documenter-dark.css | 7 + v0.1.1/assets/themes/documenter-light.css | 9 + v0.1.1/assets/themeswap.js | 84 ++ v0.1.1/assets/warner.js | 52 + v0.1.1/generated/ode_integration/index.html | 65 + .../generated/polynomial_inversion/index.html | 48 + v0.1.1/generated/sine/index.html | 41 + v0.1.1/index.html | 2 + v0.1.1/objects.inv | Bin 0 -> 1948 bytes v0.1.1/search_index.js | 3 + v0.1.1/siteinfo.js | 1 + .../making-a-new-release-of-dace/index.html | 2 + .../index.html | 87 ++ .../index.html | 33 + .../index.html | 31 + versions.js | 2 +- 26 files changed, 1653 insertions(+), 3 deletions(-) create mode 100644 v0.1.1/.documenter-siteinfo.json create mode 100644 v0.1.1/api/index.html create mode 100644 v0.1.1/assets/commithash.png create mode 100644 v0.1.1/assets/documenter.js create mode 100644 v0.1.1/assets/themes/catppuccin-frappe.css create mode 100644 v0.1.1/assets/themes/catppuccin-latte.css create mode 100644 v0.1.1/assets/themes/catppuccin-macchiato.css create mode 100644 v0.1.1/assets/themes/catppuccin-mocha.css create mode 100644 v0.1.1/assets/themes/documenter-dark.css create mode 100644 v0.1.1/assets/themes/documenter-light.css create mode 100644 v0.1.1/assets/themeswap.js create mode 100644 v0.1.1/assets/warner.js create mode 100644 v0.1.1/generated/ode_integration/index.html create mode 100644 v0.1.1/generated/polynomial_inversion/index.html create mode 100644 v0.1.1/generated/sine/index.html create mode 100644 v0.1.1/index.html create mode 100644 v0.1.1/objects.inv create mode 100644 v0.1.1/search_index.js create mode 100644 v0.1.1/siteinfo.js create mode 100644 v0.1.1/tutorials/making-a-new-release-of-dace/index.html create mode 100644 v0.1.1/tutorials/making-a-new-release-of-dace_jll/index.html create mode 100644 v0.1.1/tutorials/modifying-the-cxx-side-of-the-interface/index.html create mode 100644 v0.1.1/tutorials/setting-up-your-development-environment/index.html diff --git a/stable b/stable index 9ff151c..a1c2c6a 120000 --- a/stable +++ b/stable @@ -1 +1 @@ -v0.1.0 \ No newline at end of file +v0.1.1 \ No newline at end of file diff --git a/v0.1 b/v0.1 index 9ff151c..a1c2c6a 120000 --- a/v0.1 +++ b/v0.1 @@ -1 +1 @@ -v0.1.0 \ No newline at end of file +v0.1.1 \ No newline at end of file diff --git a/v0.1.1/.documenter-siteinfo.json b/v0.1.1/.documenter-siteinfo.json new file mode 100644 index 0000000..f0d247b --- /dev/null +++ b/v0.1.1/.documenter-siteinfo.json @@ -0,0 +1 @@ +{"documenter":{"julia_version":"1.10.5","generation_timestamp":"2024-09-25T21:17:44","documenter_version":"1.7.0"}} \ No newline at end of file diff --git a/v0.1.1/api/index.html b/v0.1.1/api/index.html new file mode 100644 index 0000000..4841811 --- /dev/null +++ b/v0.1.1/api/index.html @@ -0,0 +1,116 @@ + +API · DACE.jl
GitHub

API

DACE.DA — Type
abstract type DA <: Real

DA object representing a single polynomial.

The default constructor (with no arguments) creates an empty DA object representing the constant zero function.

source
DACE.DA — Method
DA(i::Integer, c::Number)

Create a DA object as c times the independent variable number i.

source
DACE.DA — Method
DA(c::Number)

Create a DA object with the constant part equal to c.

source
DACE.deriv — Method
deriv(
+    arg1::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}},
+    arg2::Integer
+) -> DACE.DAAllocated
+

Derivative of DA arg1 with respect to given variable, arg2

source
DACE.deriv — Method
deriv(
+    arg1::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}},
+    arg2::Union{CxxWrap.CxxWrapCore.ConstCxxRef{CxxWrap.StdLib.StdVector{UInt32}}, CxxWrap.CxxWrapCore.CxxRef{CxxWrap.StdLib.StdVector{UInt32}}, CxxWrap.StdLib.StdVector{UInt32}}
+) -> DACE.DAAllocated
+

Derivative of DA arg1 with respect to given variables, arg2

source
DACE.eval — Method
eval(
+    arg1::Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}},
+    arg2::Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}}
+) -> DACE.AlgebraicVectorAllocated{DA}
+

Evaluation of arg1 with a vector of arguments, arg2.

source
DACE.eval — Method
eval(
+    arg1::Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}},
+    arg2::Union{AlgebraicVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{Float64}}}
+) -> DACE.AlgebraicVectorAllocated{Float64}
+

Evaluation of arg1 with a vector of arguments, arg2.

source
DACE.eval — Method
eval(
+    arg1::Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}},
+    arg2::Union{CxxWrap.StdLib.StdVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{DA}}}
+) -> CxxWrap.StdLib.StdVectorAllocated{DA}
+

Evaluation of arg1 with a vector of arguments, arg2.

source
DACE.eval — Method
eval(
+    arg1::Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}},
+    arg2::Union{CxxWrap.StdLib.StdVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{Float64}}}
+) -> CxxWrap.StdLib.StdVectorAllocated{Float64}
+

Evaluation of arg1 with a vector of arguments, arg2.

source
DACE.eval — Method
eval(
+    arg1::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}},
+    arg2::Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}}
+) -> DACE.DAAllocated
+

Evaluation of arg1 with a vector of arguments, arg2.

source
DACE.eval — Method
eval(
+    arg1::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}},
+    arg2::Union{AlgebraicVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{Float64}}}
+) -> Float64
+

Evaluation of arg1 with a vector of arguments, arg2.

source
DACE.eval — Method
eval(
+    arg1::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}},
+    arg2::Union{CxxWrap.StdLib.StdVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{DA}}}
+) -> DACE.DAAllocated
+

Evaluation of arg1 with a vector of arguments, arg2.

source
DACE.eval — Method
eval(
+    arg1::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}},
+    arg2::Union{CxxWrap.StdLib.StdVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{Float64}}}
+) -> Float64
+

Evaluation of arg1 with a vector of arguments, arg2.

source
DACE.eval — Method
eval(
+    arg1::Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}},
+    arg2::Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}},
+    arg3::Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}}
+)
+

Evaluate the compiled polynomial, arg1, with a vector of any arithmetic type, arg2, and return vector of results, arg3.

source
DACE.eval — Method
eval(
+    arg1::Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}},
+    arg2::Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}}
+) -> DACE.AlgebraicVectorAllocated{DA}
+

Evaluation of arg1 with a vector of arguments, arg2.

source
DACE.eval — Method
eval(
+    arg1::Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}},
+    arg2::Union{AlgebraicVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{Float64}}},
+    arg3::Union{AlgebraicVector{Float64}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{Float64}}}
+)
+

Evaluate the compiled polynomial, arg1, with a vector of any arithmetic type, arg2, and return vector of results, arg3.

source
DACE.eval — Method
eval(
+    arg1::Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}},
+    arg2::Union{AlgebraicVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{Float64}}}
+) -> DACE.AlgebraicVectorAllocated{Float64}
+

Evaluation of arg1 with a vector of arguments, arg2.

source
DACE.eval — Method
eval(
+    arg1::Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}},
+    arg2::Union{CxxWrap.StdLib.StdVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{DA}}},
+    arg3::Union{CxxWrap.StdLib.StdVector{DA}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{DA}}}
+)
+

Evaluate the compiled polynomial, arg1, with a vector of any arithmetic type, arg2, and return vector of results, arg3.

source
DACE.eval — Method
eval(
+    arg1::Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}},
+    arg2::Union{CxxWrap.StdLib.StdVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{DA}}}
+) -> CxxWrap.StdLib.StdVectorAllocated{DA}
+

Evaluation of arg1 with a vector of arguments, arg2.

source
DACE.eval — Method
eval(
+    arg1::Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}},
+    arg2::Union{CxxWrap.StdLib.StdVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{Float64}}},
+    arg3::Union{CxxWrap.StdLib.StdVector{Float64}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{Float64}}}
+)
+

Evaluate the compiled polynomial, arg1, with a vector of any arithmetic type, arg2, and return vector of results, arg3.

source
DACE.eval — Method
eval(
+    arg1::Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}},
+    arg2::Union{CxxWrap.StdLib.StdVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{Float64}}}
+) -> CxxWrap.StdLib.StdVectorAllocated{Float64}
+

Evaluation of arg1 with a vector of arguments, arg2.

source
DACE.evalScalar — Method
evalScalar(
+    arg1::Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}},
+    arg2::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}}
+) -> DACE.AlgebraicVectorAllocated{DA}
+

Evaluation of arg1 with a single arithmetic type argument, arg2.

source
DACE.evalScalar — Method
evalScalar(
+    arg1::Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}},
+    arg2::Union{Float64, Int64, Ref{Float64}, Irrational}
+) -> DACE.AlgebraicVectorAllocated{Float64}
+

Evaluation of arg1 with a single arithmetic type argument, arg2.

source
DACE.evalScalar — Method
evalScalar(
+    arg1::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}},
+    arg2::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}}
+) -> DACE.DAAllocated
+

Evaluation of arg1 with a single arithmetic type argument, arg2.

source
DACE.evalScalar — Method
evalScalar(
+    arg1::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}},
+    arg2::Union{Float64, Int64, Ref{Float64}, Irrational}
+) -> Float64
+

Evaluation of arg1 with a single arithmetic type argument, arg2.

source
DACE.evalScalar — Method
evalScalar(
+    arg1::Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}},
+    arg2::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}}
+) -> CxxWrap.StdLib.StdVectorAllocated{DA}
+

Evaluation of arg1 with a single arithmetic type argument, arg2.

source
DACE.evalScalar — Method
evalScalar(
+    arg1::Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}},
+    arg2::Union{Float64, Int64, Ref{Float64}, Irrational}
+) -> CxxWrap.StdLib.StdVectorAllocated{Float64}
+

Evaluation of arg1 with a single arithmetic type argument, arg2.

source
DACE.getEps — Method
getEps() -> Float64
+

Return the cutoff value eps currently set for computations, or zero if undefined.

source
DACE.getEpsMac — Method
getEpsMac() -> Float64
+

Return the machine epsilon (pessimistic estimate), or zero if undefined.

source
DACE.getMaxMonomials — Method
getMaxMonomials() -> Int64
+

Return the maximum number of monomials available with the order and number of variables specified, or zero if undefined.

source
DACE.getMaxOrder — Method
getMaxOrder() -> Int64
+

Return the maximum order currently set for the computation, or zero if undefined.

source
DACE.getMaxVariables — Method
getMaxVariables() -> Int64
+

Return the maximum number of variables set for the computations, or zero if undefined.

source
DACE.getMonomials — Method
getMonomials(
+    arg1::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}}
+) -> CxxWrap.StdLib.StdVectorAllocated{DACE.Monomial}
+

Get vector of all non-zero Monomials for DA arg1

source
DACE.getTO — Method
getTO() -> Int64
+

Return the truncation order currently set for computations, or zero if undefined.

All terms larger than the truncation order are discarded in subsequent operations.

source
DACE.init — Method
init(arg1::Integer, arg2::Integer)
+

Initialize the DACE control arrays and set the maximum order, arg1, and the maximum number of variables, arg2.

Note: must be called before any other DA routine can be used!

source
DACE.popTO — Method
popTO()
+

Restore the previous truncation order from the truncation order stack.

All terms larger than the truncation order are discarded in subsequent operations.

source
DACE.pushTO — Method
pushTO(arg1::Integer)
+

Set a new trunction order (arg1), saving the previous one on the truncation order stack.

All terms larger than the truncation order are discarded in subsequent operations.

source
DACE.setEps — Method
setEps(arg1::Union{Float64, Int64, Irrational}) -> Float64
+

Set the cutoff value eps to arg1 and return the previous value, or zero if undefined.

source
DACE.setTO — Method
setTO(arg1::Integer) -> Int64
+

Set the truncation order to arg1 and return the previous value, or zero if undefined.

All terms larger than the truncation order are discarded in subsequent operations.

source
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0000000..82252a1 --- /dev/null +++ b/v0.1.1/assets/documenter.js @@ -0,0 +1,1064 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia.min', + 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', + 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.13.2/jquery-ui.min', + 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/contrib/auto-render.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.0/jquery.min', + 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', + 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/katex.min', + 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/highlight.min', + 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia-repl.min', + }, + shim: { + "highlight-julia": { + "deps": [ + "highlight" + ] + }, + "katex-auto-render": { + "deps": [ + "katex" + ] + }, + "headroom-jquery": { + "deps": [ + "jquery", + "headroom" + ] + }, + "highlight-julia-repl": { + "deps": [ + "highlight" + ] + } +} +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) { +$(document).ready(function() { + renderMathInElement( + document.body, + { + "delimiters": [ + { + "left": "$", + "right": "$", + "display": false + }, + { + "left": "$$", + "right": "$$", + "display": true + }, + { + "left": "\\[", + "right": "\\]", + "display": true + } + ] +} + + ); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) { +$(document).ready(function() { + hljs.highlightAll(); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +let timer = 0; +var isExpanded = true; + +$(document).on( + "click", + ".docstring .docstring-article-toggle-button", + function () { + let articleToggleTitle = "Expand docstring"; + const parent = $(this).parent(); + + debounce(() => { + if (parent.siblings("section").is(":visible")) { + parent + .find("a.docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + } else { + parent + .find("a.docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + articleToggleTitle = "Collapse docstring"; + } + + parent + .children(".docstring-article-toggle-button") + .prop("title", articleToggleTitle); + parent.siblings("section").slideToggle(); + }); + } +); + +$(document).on("click", ".docs-article-toggle-button", function (event) { + let articleToggleTitle = "Expand docstring"; + let navArticleToggleTitle = "Expand all docstrings"; + let animationSpeed = event.noToggleAnimation ? 0 : 400; + + debounce(() => { + if (isExpanded) { + $(this).removeClass("fa-chevron-up").addClass("fa-chevron-down"); + $("a.docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + + isExpanded = false; + + $(".docstring section").slideUp(animationSpeed); + } else { + $(this).removeClass("fa-chevron-down").addClass("fa-chevron-up"); + $("a.docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + isExpanded = true; + articleToggleTitle = "Collapse docstring"; + navArticleToggleTitle = "Collapse all docstrings"; + + $(".docstring section").slideDown(animationSpeed); + } + + $(this).prop("title", navArticleToggleTitle); + $(".docstring-article-toggle-button").prop("title", articleToggleTitle); + }); +}); + +function debounce(callback, timeout = 300) { + if (Date.now() - timer > timeout) { + callback(); + } + + clearTimeout(timer); + + timer = Date.now(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fa-solid", "fa-copy"); + button.setAttribute("aria-label", "Copy this code block"); + button.setAttribute("title", "Copy"); + + el.appendChild(button); + + const success = function () { + button.classList.add("success", "fa-check"); + button.classList.remove("fa-copy"); + }; + + const failure = function () { + button.classList.add("error", "fa-xmark"); + button.classList.remove("fa-copy"); + }; + + button.addEventListener("click", function () { + copyToClipboard(el.innerText).then(success, failure); + + setTimeout(function () { + button.classList.add("fa-copy"); + button.classList.remove("success", "fa-check", "fa-xmark"); + }, 5000); + }); + } +} + +function copyToClipboard(text) { + // clipboard API is only available in secure contexts + if (window.navigator && window.navigator.clipboard) { + return window.navigator.clipboard.writeText(text); + } else { + return new Promise(function (resolve, reject) { + try { + const el = document.createElement("textarea"); + el.textContent = text; + el.style.position = "fixed"; + el.style.opacity = 0; + document.body.appendChild(el); + el.select(); + document.execCommand("copy"); + + resolve(); + } catch (err) { + reject(err); + } finally { + document.body.removeChild(el); + } + }); + } +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks); +} else { + addCopyButtonCallbacks(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { + +// Manages the top navigation bar (hides it when the user starts scrolling down on the +// mobile). +window.Headroom = Headroom; // work around buggy module loading? +$(document).ready(function () { + $("#documenter .docs-navbar").headroom({ + tolerance: { up: 10, down: 10 }, + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +$(document).ready(function () { + let meta = $("div[data-docstringscollapsed]").data(); + + if (meta?.docstringscollapsed) { + $("#documenter-article-toggle-button").trigger({ + type: "click", + noToggleAnimation: true, + }); + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +/* +To get an in-depth about the thought process you can refer: https://hetarth02.hashnode.dev/series/gsoc + +PSEUDOCODE: + +Searching happens automatically as the user types or adjusts the selected filters. +To preserve responsiveness, as much as possible of the slow parts of the search are done +in a web worker. Searching and result generation are done in the worker, and filtering and +DOM updates are done in the main thread. The filters are in the main thread as they should +be very quick to apply. This lets filters be changed without re-searching with minisearch +(which is possible even if filtering is on the worker thread) and also lets filters be +changed _while_ the worker is searching and without message passing (neither of which are +possible if filtering is on the worker thread) + +SEARCH WORKER: + +Import minisearch + +Build index + +On message from main thread + run search + find the first 200 unique results from each category, and compute their divs for display + note that this is necessary and sufficient information for the main thread to find the + first 200 unique results from any given filter set + post results to main thread + +MAIN: + +Launch worker + +Declare nonconstant globals (worker_is_running, last_search_text, unfiltered_results) + +On text update + if worker is not running, launch_search() + +launch_search + set worker_is_running to true, set last_search_text to the search text + post the search query to worker + +on message from worker + if last_search_text is not the same as the text in the search field, + the latest search result is not reflective of the latest search query, so update again + launch_search() + otherwise + set worker_is_running to false + + regardless, display the new search results to the user + save the unfiltered_results as a global + update_search() + +on filter click + adjust the filter selection + update_search() + +update_search + apply search filters by looping through the unfiltered_results and finding the first 200 + unique results that match the filters + + Update the DOM +*/ + +/////// SEARCH WORKER /////// + +function worker_function(documenterSearchIndex, documenterBaseURL, filters) { + importScripts( + "https://cdn.jsdelivr.net/npm/minisearch@6.1.0/dist/umd/index.min.js" + ); + + let data = documenterSearchIndex.map((x, key) => { + x["id"] = key; // minisearch requires a unique for each object + return x; + }); + + // list below is the lunr 2.1.3 list minus the intersect with names(Base) + // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) + // ideally we'd just filter the original list but it's not available as a variable + const stopWords = new Set([ + "a", + "able", + "about", + "across", + "after", + "almost", + "also", + "am", + "among", + "an", + "and", + "are", + "as", + "at", + "be", + "because", + "been", + "but", + "by", + "can", + "cannot", + "could", + "dear", + "did", + "does", + "either", + "ever", + "every", + "from", + "got", + "had", + "has", + "have", + "he", + "her", + "hers", + "him", + "his", + "how", + "however", + "i", + "if", + "into", + "it", + "its", + "just", + "least", + "like", + "likely", + "may", + "me", + "might", + "most", + "must", + "my", + "neither", + "no", + "nor", + "not", + "of", + "off", + "often", + "on", + "or", + "other", + "our", + "own", + "rather", + "said", + "say", + "says", + "she", + "should", + "since", + "so", + "some", + "than", + "that", + "the", + "their", + "them", + "then", + "there", + "these", + "they", + "this", + "tis", + "to", + "too", + "twas", + "us", + "wants", + "was", + "we", + "were", + "what", + "when", + "who", + "whom", + "why", + "will", + "would", + "yet", + "you", + "your", + ]); + + let index = new MiniSearch({ + fields: ["title", "text"], // fields to index for full-text search + storeFields: ["location", "title", "text", "category", "page"], // fields to return with results + processTerm: (term) => { + let word = stopWords.has(term) ? 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@!]+$/, ""); + + word = word.toLowerCase(); + } + + return word ?? null; + }, + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!", would not + // find anything if searching for "add!", only for the entire qualification + tokenize: (string) => string.split(/[\s\-\.]+/), + // options which will be applied during the search + searchOptions: { + prefix: true, + boost: { title: 100 }, + fuzzy: 2, + }, + }); + + index.addAll(data); + + /** + * Used to map characters to HTML entities. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const htmlEscapes = { + "&": "&", + "<": "<", + ">": ">", + '"': """, + "'": "'", + }; + + /** + * Used to match HTML entities and HTML characters. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const reUnescapedHtml = /[&<>"']/g; + const reHasUnescapedHtml = RegExp(reUnescapedHtml.source); + + /** + * Escape function from lodash + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + function escape(string) { + return string && reHasUnescapedHtml.test(string) + ? string.replace(reUnescapedHtml, (chr) => htmlEscapes[chr]) + : string || ""; + } + + /** + * RegX escape function from MDN + * Refer: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Regular_Expressions#escaping + */ + function escapeRegExp(string) { + return string.replace(/[.*+?^${}()|[\]\\]/g, "\\$&"); // $& means the whole matched string + } + + /** + * Make the result component given a minisearch result data object and the value + * of the search input as queryString. To view the result object structure, refer: + * https://lucaong.github.io/minisearch/modules/_minisearch_.html#searchresult + * + * @param {object} result + * @param {string} querystring + * @returns string + */ + function make_search_result(result, querystring) { + let search_divider = `
`; + let display_link = + result.location.slice(Math.max(0), Math.min(50, result.location.length)) + + (result.location.length > 30 ? "..." : ""); // To cut-off the link because it messes with the overflow of the whole div + + if (result.page !== "") { + display_link += ` (${result.page})`; + } + searchstring = escapeRegExp(querystring); + let textindex = new RegExp(`${searchstring}`, "i").exec(result.text); + let text = + textindex !== null + ? result.text.slice( + Math.max(textindex.index - 100, 0), + Math.min( + textindex.index + querystring.length + 100, + result.text.length + ) + ) + : ""; // cut-off text before and after from the match + + text = text.length ? escape(text) : ""; + + let display_result = text.length + ? "..." + + text.replace( + new RegExp(`${escape(searchstring)}`, "i"), // For first occurrence + '$&' + ) + + "..." + : ""; // highlights the match + + let in_code = false; + if (!["page", "section"].includes(result.category.toLowerCase())) { + in_code = true; + } + + // We encode the full url to escape some special characters which can lead to broken links + let result_div = ` + +
+
${escape(result.title)}
+
${result.category}
+
+

+ ${display_result} +

+
+ ${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/v0.1.1/assets/themes/catppuccin-frappe.css b/v0.1.1/assets/themes/catppuccin-frappe.css new file mode 100644 index 0000000..32e3f00 --- /dev/null +++ b/v0.1.1/assets/themes/catppuccin-frappe.css @@ -0,0 +1 @@ +html.theme--catppuccin-frappe .pagination-previous,html.theme--catppuccin-frappe .pagination-next,html.theme--catppuccin-frappe .pagination-link,html.theme--catppuccin-frappe .pagination-ellipsis,html.theme--catppuccin-frappe .file-cta,html.theme--catppuccin-frappe .file-name,html.theme--catppuccin-frappe .select select,html.theme--catppuccin-frappe .textarea,html.theme--catppuccin-frappe .input,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input,html.theme--catppuccin-frappe .button{-moz-appearance:none;-webkit-appearance:none;align-items:center;border:1px solid transparent;border-radius:.4em;box-shadow:none;display:inline-flex;font-size:1rem;height:2.5em;justify-content:flex-start;line-height:1.5;padding-bottom:calc(0.5em - 1px);padding-left:calc(0.75em - 1px);padding-right:calc(0.75em - 1px);padding-top:calc(0.5em - 1px);position:relative;vertical-align:top}html.theme--catppuccin-frappe .pagination-previous:focus,html.theme--catppuccin-frappe 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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 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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 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!important}html.theme--catppuccin-frappe .button.is-info.is-outlined{background-color:transparent;border-color:#81c8be;color:#81c8be}html.theme--catppuccin-frappe .button.is-info.is-outlined:hover,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-frappe .button.is-info.is-outlined:focus,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-focused{background-color:#81c8be;border-color:#81c8be;color:rgba(0,0,0,0.7)}html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #81c8be #81c8be !important}html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-frappe .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) 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.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 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.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 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.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 h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-frappe .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-frappe .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-frappe .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-frappe .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-frappe .content blockquote{background-color:#292c3c;border-left:5px solid #626880;padding:1.25em 1.5em}html.theme--catppuccin-frappe .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-frappe .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-frappe .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-frappe .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-frappe .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-frappe .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-frappe .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-frappe .content ul ul ul{list-style-type:square}html.theme--catppuccin-frappe .content dd{margin-left:2em}html.theme--catppuccin-frappe .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-frappe .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-frappe .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-frappe .content figure img{display:inline-block}html.theme--catppuccin-frappe .content figure figcaption{font-style:italic}html.theme--catppuccin-frappe .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-frappe .content sup,html.theme--catppuccin-frappe .content sub{font-size:75%}html.theme--catppuccin-frappe .content table{width:100%}html.theme--catppuccin-frappe .content table td,html.theme--catppuccin-frappe .content table th{border:1px solid #626880;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-frappe .content table th{color:#b0bef1}html.theme--catppuccin-frappe .content table th:not([align]){text-align:inherit}html.theme--catppuccin-frappe .content table thead td,html.theme--catppuccin-frappe .content table thead th{border-width:0 0 2px;color:#b0bef1}html.theme--catppuccin-frappe .content table tfoot td,html.theme--catppuccin-frappe .content table tfoot th{border-width:2px 0 0;color:#b0bef1}html.theme--catppuccin-frappe .content table tbody tr:last-child td,html.theme--catppuccin-frappe .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-frappe .content .tabs li+li{margin-top:0}html.theme--catppuccin-frappe .content.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-frappe .content.is-normal{font-size:1rem}html.theme--catppuccin-frappe .content.is-medium{font-size:1.25rem}html.theme--catppuccin-frappe .content.is-large{font-size:1.5rem}html.theme--catppuccin-frappe .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-frappe .icon.is-small,html.theme--catppuccin-frappe #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-frappe .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-frappe .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-frappe .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-frappe .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-frappe .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-frappe .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-frappe div.icon-text{display:flex}html.theme--catppuccin-frappe .image,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-frappe .image img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-frappe .image img.is-rounded,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-frappe .image.is-fullwidth,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-frappe .image.is-square img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-frappe .image.is-square .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-frappe .image.is-1by1 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--catppuccin-frappe .image.is-1by1 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--catppuccin-frappe .image.is-5by4 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--catppuccin-frappe .image.is-5by4 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--catppuccin-frappe .image.is-4by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--catppuccin-frappe .image.is-4by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--catppuccin-frappe .image.is-3by2 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--catppuccin-frappe .image.is-3by2 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--catppuccin-frappe .image.is-5by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-frappe .image.is-5by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-frappe .image.is-16by9 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-frappe .image.is-16by9 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-frappe .image.is-2by1 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-frappe .image.is-2by1 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-frappe .image.is-3by1 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-frappe .image.is-3by1 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by1 .has-ratio,html.theme--catppuccin-frappe .image.is-4by5 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by5 img,html.theme--catppuccin-frappe .image.is-4by5 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by5 .has-ratio,html.theme--catppuccin-frappe .image.is-3by4 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by4 img,html.theme--catppuccin-frappe .image.is-3by4 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by4 .has-ratio,html.theme--catppuccin-frappe .image.is-2by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by3 img,html.theme--catppuccin-frappe .image.is-2by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by3 .has-ratio,html.theme--catppuccin-frappe .image.is-3by5 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-frappe .image.is-3by5 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--catppuccin-frappe .image.is-9by16 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--catppuccin-frappe .image.is-9by16 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--catppuccin-frappe .image.is-1by2 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--catppuccin-frappe .image.is-1by2 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--catppuccin-frappe .image.is-1by3 img,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--catppuccin-frappe .image.is-1by3 .has-ratio,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by3 .has-ratio{height:100%;width:100%}html.theme--catppuccin-frappe .image.is-square,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-square,html.theme--catppuccin-frappe .image.is-1by1,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by1{padding-top:100%}html.theme--catppuccin-frappe .image.is-5by4,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-5by4{padding-top:80%}html.theme--catppuccin-frappe .image.is-4by3,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-4by3{padding-top:75%}html.theme--catppuccin-frappe 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.docs-logo>img.is-3by4{padding-top:133.3333%}html.theme--catppuccin-frappe .image.is-2by3,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-2by3{padding-top:150%}html.theme--catppuccin-frappe .image.is-3by5,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-3by5{padding-top:166.6666%}html.theme--catppuccin-frappe .image.is-9by16,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-9by16{padding-top:177.7777%}html.theme--catppuccin-frappe .image.is-1by2,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by2{padding-top:200%}html.theme--catppuccin-frappe .image.is-1by3,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-1by3{padding-top:300%}html.theme--catppuccin-frappe .image.is-16x16,html.theme--catppuccin-frappe #documenter .docs-sidebar .docs-logo>img.is-16x16{height:16px;width:16px}html.theme--catppuccin-frappe .image.is-24x24,html.theme--catppuccin-frappe #documenter 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.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 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.button.is-link.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-link.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-link.is-outlined{background-color:transparent;border-color:#1e66f5;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-outlined:hover,html.theme--catppuccin-latte .button.is-link.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-link.is-outlined:focus,html.theme--catppuccin-latte .button.is-link.is-outlined.is-focused{background-color:#1e66f5;border-color:#1e66f5;color:#fff}html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading::after{border-color:transparent transparent #1e66f5 #1e66f5 !important}html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-link.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-link.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link.is-outlined{background-color:transparent;border-color:#1e66f5;box-shadow:none;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-focused{background-color:#fff;color:#1e66f5}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #1e66f5 #1e66f5 !important}html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-link.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-link.is-light{background-color:#ebf2fe;color:#0a52e1}html.theme--catppuccin-latte .button.is-link.is-light:hover,html.theme--catppuccin-latte .button.is-link.is-light.is-hovered{background-color:#dfe9fe;border-color:transparent;color:#0a52e1}html.theme--catppuccin-latte .button.is-link.is-light:active,html.theme--catppuccin-latte .button.is-link.is-light.is-active{background-color:#d3e1fd;border-color:transparent;color:#0a52e1}html.theme--catppuccin-latte .button.is-info{background-color:#179299;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info:hover,html.theme--catppuccin-latte .button.is-info.is-hovered{background-color:#15878e;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info:focus,html.theme--catppuccin-latte .button.is-info.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info:focus:not(:active),html.theme--catppuccin-latte .button.is-info.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(23,146,153,0.25)}html.theme--catppuccin-latte .button.is-info:active,html.theme--catppuccin-latte .button.is-info.is-active{background-color:#147d83;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-info[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info{background-color:#179299;border-color:#179299;box-shadow:none}html.theme--catppuccin-latte .button.is-info.is-inverted{background-color:#fff;color:#179299}html.theme--catppuccin-latte .button.is-info.is-inverted:hover,html.theme--catppuccin-latte .button.is-info.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-latte .button.is-info.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#179299}html.theme--catppuccin-latte .button.is-info.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-info.is-outlined{background-color:transparent;border-color:#179299;color:#179299}html.theme--catppuccin-latte .button.is-info.is-outlined:hover,html.theme--catppuccin-latte .button.is-info.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-info.is-outlined:focus,html.theme--catppuccin-latte .button.is-info.is-outlined.is-focused{background-color:#179299;border-color:#179299;color:#fff}html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading::after{border-color:transparent transparent #179299 #179299 !important}html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-info.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-latte .button.is-info.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info.is-outlined{background-color:transparent;border-color:#179299;box-shadow:none;color:#179299}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined:hover,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined:focus,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-focused{background-color:#fff;color:#179299}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #179299 #179299 !important}html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-latte .button.is-info.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-latte .button.is-info.is-light{background-color:#edfcfc;color:#1cb2ba}html.theme--catppuccin-latte .button.is-info.is-light:hover,html.theme--catppuccin-latte .button.is-info.is-light.is-hovered{background-color:#e2f9fb;border-color:transparent;color:#1cb2ba}html.theme--catppuccin-latte .button.is-info.is-light:active,html.theme--catppuccin-latte .button.is-info.is-light.is-active{background-color:#d7f7f9;border-color:transparent;color:#1cb2ba}html.theme--catppuccin-latte .button.is-success{background-color:#40a02b;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:hover,html.theme--catppuccin-latte .button.is-success.is-hovered{background-color:#3c9628;border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:focus,html.theme--catppuccin-latte .button.is-success.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-latte .button.is-success:focus:not(:active),html.theme--catppuccin-latte .button.is-success.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(64,160,43,0.25)}html.theme--catppuccin-latte .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 .content h1,html.theme--catppuccin-latte .content h2,html.theme--catppuccin-latte .content h3,html.theme--catppuccin-latte .content h4,html.theme--catppuccin-latte .content h5,html.theme--catppuccin-latte .content h6{color:#4c4f69;font-weight:600;line-height:1.125}html.theme--catppuccin-latte .content h1{font-size:2em;margin-bottom:0.5em}html.theme--catppuccin-latte .content h1:not(:first-child){margin-top:1em}html.theme--catppuccin-latte .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--catppuccin-latte .content h2:not(:first-child){margin-top:1.1428em}html.theme--catppuccin-latte .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--catppuccin-latte .content h3:not(:first-child){margin-top:1.3333em}html.theme--catppuccin-latte .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--catppuccin-latte .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--catppuccin-latte .content h6{font-size:1em;margin-bottom:1em}html.theme--catppuccin-latte .content blockquote{background-color:#e6e9ef;border-left:5px solid #acb0be;padding:1.25em 1.5em}html.theme--catppuccin-latte .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ol:not([type]){list-style-type:decimal}html.theme--catppuccin-latte .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--catppuccin-latte .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--catppuccin-latte .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--catppuccin-latte .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--catppuccin-latte .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--catppuccin-latte .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--catppuccin-latte .content ul ul ul{list-style-type:square}html.theme--catppuccin-latte .content dd{margin-left:2em}html.theme--catppuccin-latte .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--catppuccin-latte .content figure:not(:first-child){margin-top:2em}html.theme--catppuccin-latte .content figure:not(:last-child){margin-bottom:2em}html.theme--catppuccin-latte .content figure img{display:inline-block}html.theme--catppuccin-latte .content figure figcaption{font-style:italic}html.theme--catppuccin-latte .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--catppuccin-latte .content sup,html.theme--catppuccin-latte .content sub{font-size:75%}html.theme--catppuccin-latte .content table{width:100%}html.theme--catppuccin-latte .content table td,html.theme--catppuccin-latte .content table th{border:1px solid #acb0be;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--catppuccin-latte .content table th{color:#41445a}html.theme--catppuccin-latte .content table th:not([align]){text-align:inherit}html.theme--catppuccin-latte .content table thead td,html.theme--catppuccin-latte .content table thead th{border-width:0 0 2px;color:#41445a}html.theme--catppuccin-latte .content table tfoot td,html.theme--catppuccin-latte .content table tfoot th{border-width:2px 0 0;color:#41445a}html.theme--catppuccin-latte .content table tbody tr:last-child td,html.theme--catppuccin-latte .content table tbody tr:last-child th{border-bottom-width:0}html.theme--catppuccin-latte .content .tabs li+li{margin-top:0}html.theme--catppuccin-latte .content.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--catppuccin-latte .content.is-normal{font-size:1rem}html.theme--catppuccin-latte .content.is-medium{font-size:1.25rem}html.theme--catppuccin-latte .content.is-large{font-size:1.5rem}html.theme--catppuccin-latte .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--catppuccin-latte .icon.is-small,html.theme--catppuccin-latte #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--catppuccin-latte .icon.is-medium{height:2rem;width:2rem}html.theme--catppuccin-latte .icon.is-large{height:3rem;width:3rem}html.theme--catppuccin-latte .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--catppuccin-latte .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--catppuccin-latte .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--catppuccin-latte .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--catppuccin-latte div.icon-text{display:flex}html.theme--catppuccin-latte .image,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--catppuccin-latte .image img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--catppuccin-latte .image img.is-rounded,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--catppuccin-latte .image.is-fullwidth,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--catppuccin-latte .image.is-square img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--catppuccin-latte .image.is-square .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--catppuccin-latte .image.is-1by1 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--catppuccin-latte .image.is-1by1 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--catppuccin-latte .image.is-5by4 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--catppuccin-latte .image.is-5by4 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--catppuccin-latte .image.is-4by3 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--catppuccin-latte .image.is-4by3 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--catppuccin-latte .image.is-3by2 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--catppuccin-latte .image.is-3by2 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--catppuccin-latte .image.is-5by3 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--catppuccin-latte .image.is-5by3 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--catppuccin-latte .image.is-16by9 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-16by9 img,html.theme--catppuccin-latte .image.is-16by9 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-16by9 .has-ratio,html.theme--catppuccin-latte .image.is-2by1 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-2by1 img,html.theme--catppuccin-latte .image.is-2by1 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-2by1 .has-ratio,html.theme--catppuccin-latte .image.is-3by1 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by1 img,html.theme--catppuccin-latte .image.is-3by1 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by1 .has-ratio,html.theme--catppuccin-latte .image.is-4by5 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by5 img,html.theme--catppuccin-latte .image.is-4by5 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by5 .has-ratio,html.theme--catppuccin-latte .image.is-3by4 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by4 img,html.theme--catppuccin-latte .image.is-3by4 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by4 .has-ratio,html.theme--catppuccin-latte .image.is-2by3 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-2by3 img,html.theme--catppuccin-latte .image.is-2by3 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-2by3 .has-ratio,html.theme--catppuccin-latte .image.is-3by5 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by5 img,html.theme--catppuccin-latte .image.is-3by5 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by5 .has-ratio,html.theme--catppuccin-latte .image.is-9by16 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-9by16 img,html.theme--catppuccin-latte .image.is-9by16 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-9by16 .has-ratio,html.theme--catppuccin-latte .image.is-1by2 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by2 img,html.theme--catppuccin-latte .image.is-1by2 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by2 .has-ratio,html.theme--catppuccin-latte .image.is-1by3 img,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by3 img,html.theme--catppuccin-latte .image.is-1by3 .has-ratio,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by3 .has-ratio{height:100%;width:100%}html.theme--catppuccin-latte .image.is-square,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-square,html.theme--catppuccin-latte .image.is-1by1,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-1by1{padding-top:100%}html.theme--catppuccin-latte .image.is-5by4,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by4{padding-top:80%}html.theme--catppuccin-latte .image.is-4by3,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-4by3{padding-top:75%}html.theme--catppuccin-latte .image.is-3by2,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-3by2{padding-top:66.6666%}html.theme--catppuccin-latte .image.is-5by3,html.theme--catppuccin-latte #documenter .docs-sidebar .docs-logo>img.is-5by3{padding-top:60%}html.theme--catppuccin-latte .image.is-16by9,html.theme--catppuccin-latte #documenter 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.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 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.icon:only-child,html.theme--catppuccin-latte .navbar-link .icon:only-child{margin-left:-0.25rem;margin-right:-0.25rem}html.theme--catppuccin-latte a.navbar-item,html.theme--catppuccin-latte .navbar-link{cursor:pointer}html.theme--catppuccin-latte a.navbar-item:focus,html.theme--catppuccin-latte a.navbar-item:focus-within,html.theme--catppuccin-latte a.navbar-item:hover,html.theme--catppuccin-latte a.navbar-item.is-active,html.theme--catppuccin-latte .navbar-link:focus,html.theme--catppuccin-latte .navbar-link:focus-within,html.theme--catppuccin-latte .navbar-link:hover,html.theme--catppuccin-latte .navbar-link.is-active{background-color:rgba(0,0,0,0);color:#1e66f5}html.theme--catppuccin-latte .navbar-item{flex-grow:0;flex-shrink:0}html.theme--catppuccin-latte .navbar-item img{max-height:1.75rem}html.theme--catppuccin-latte .navbar-item.has-dropdown{padding:0}html.theme--catppuccin-latte .navbar-item.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-latte .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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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 .navbar-brand{margin-left:-.75rem}html.theme--catppuccin-latte .navbar>.container .navbar-menu,html.theme--catppuccin-latte .container>.navbar .navbar-menu{margin-right:-.75rem}html.theme--catppuccin-latte .navbar.is-fixed-bottom-desktop,html.theme--catppuccin-latte .navbar.is-fixed-top-desktop{left:0;position:fixed;right:0;z-index:30}html.theme--catppuccin-latte .navbar.is-fixed-bottom-desktop{bottom:0}html.theme--catppuccin-latte .navbar.is-fixed-bottom-desktop.has-shadow{box-shadow:0 -2px 3px rgba(10,10,10,0.1)}html.theme--catppuccin-latte .navbar.is-fixed-top-desktop{top:0}html.theme--catppuccin-latte html.has-navbar-fixed-top-desktop,html.theme--catppuccin-latte body.has-navbar-fixed-top-desktop{padding-top:4rem}html.theme--catppuccin-latte html.has-navbar-fixed-bottom-desktop,html.theme--catppuccin-latte body.has-navbar-fixed-bottom-desktop{padding-bottom:4rem}html.theme--catppuccin-latte html.has-spaced-navbar-fixed-top,html.theme--catppuccin-latte 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 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.button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-macchiato .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-macchiato .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-black.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-macchiato .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light:hover,html.theme--catppuccin-macchiato .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light:focus,html.theme--catppuccin-macchiato .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light:focus:not(:active),html.theme--catppuccin-macchiato .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-macchiato .button.is-light:active,html.theme--catppuccin-macchiato .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-macchiato .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-inverted:hover,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-macchiato .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-macchiato .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-macchiato .button.is-light.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-macchiato .button.is-light.is-outlined:focus,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .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-macchiato .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-macchiato .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-macchiato .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-macchiato .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-macchiato 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.content kbd.button{background-color:#363a4f;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark:hover,html.theme--catppuccin-macchiato .content kbd.button:hover,html.theme--catppuccin-macchiato .button.is-dark.is-hovered,html.theme--catppuccin-macchiato .content kbd.button.is-hovered{background-color:#313447;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark:focus,html.theme--catppuccin-macchiato .content kbd.button:focus,html.theme--catppuccin-macchiato .button.is-dark.is-focused,html.theme--catppuccin-macchiato .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark:focus:not(:active),html.theme--catppuccin-macchiato .content kbd.button:focus:not(:active),html.theme--catppuccin-macchiato .button.is-dark.is-focused:not(:active),html.theme--catppuccin-macchiato .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(54,58,79,0.25)}html.theme--catppuccin-macchiato .button.is-dark:active,html.theme--catppuccin-macchiato .content kbd.button:active,html.theme--catppuccin-macchiato .button.is-dark.is-active,html.theme--catppuccin-macchiato .content kbd.button.is-active{background-color:#2c2f40;border-color:transparent;color:#fff}html.theme--catppuccin-macchiato .button.is-dark[disabled],html.theme--catppuccin-macchiato .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-dark,fieldset[disabled] html.theme--catppuccin-macchiato .content kbd.button{background-color:#363a4f;border-color:#363a4f;box-shadow:none}html.theme--catppuccin-macchiato .button.is-dark.is-inverted,html.theme--catppuccin-macchiato .content kbd.button.is-inverted{background-color:#fff;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted:hover,html.theme--catppuccin-macchiato .content kbd.button.is-inverted:hover,html.theme--catppuccin-macchiato 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kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-macchiato .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-macchiato .button.is-dark.is-outlined[disabled],html.theme--catppuccin-macchiato .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-macchiato .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-macchiato .content 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 kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#363a4f}html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-macchiato .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-macchiato .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #363a4f #363a4f !important}html.theme--catppuccin-macchiato 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.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 .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--catppuccin-macchiato .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--catppuccin-macchiato .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--catppuccin-macchiato .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--catppuccin-macchiato .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--catppuccin-macchiato .buttons.has-addons .button:last-child{margin-right:0}html.theme--catppuccin-macchiato .buttons.has-addons .button:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-hovered{z-index:2}html.theme--catppuccin-macchiato .buttons.has-addons .button:focus,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-focused,html.theme--catppuccin-macchiato .buttons.has-addons .button:active,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-active,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-selected{z-index:3}html.theme--catppuccin-macchiato .buttons.has-addons .button:focus:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-focused:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button:active:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-active:hover,html.theme--catppuccin-macchiato .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--catppuccin-macchiato .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--catppuccin-macchiato .buttons.is-centered{justify-content:center}html.theme--catppuccin-macchiato .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--catppuccin-macchiato .buttons.is-right{justify-content:flex-end}html.theme--catppuccin-macchiato .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-macchiato .button.is-responsive.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--catppuccin-macchiato .button.is-responsive,html.theme--catppuccin-macchiato .button.is-responsive.is-normal{font-size:.65625rem}html.theme--catppuccin-macchiato .button.is-responsive.is-medium{font-size:.75rem}html.theme--catppuccin-macchiato .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--catppuccin-macchiato .button.is-responsive.is-small,html.theme--catppuccin-macchiato #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--catppuccin-macchiato 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.button.is-white.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-white.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined.is-focused{background-color:#0a0a0a;color:#fff}html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-black:hover,html.theme--catppuccin-mocha .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-black:focus,html.theme--catppuccin-mocha .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-black:focus:not(:active),html.theme--catppuccin-mocha .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--catppuccin-mocha .button.is-black:active,html.theme--catppuccin-mocha .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-black[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--catppuccin-mocha .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-inverted:hover,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-outlined:hover,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-black.is-outlined:focus,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-light{background-color:#f5f5f5;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light:hover,html.theme--catppuccin-mocha .button.is-light.is-hovered{background-color:#eee;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light:focus,html.theme--catppuccin-mocha .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light:focus:not(:active),html.theme--catppuccin-mocha .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(245,245,245,0.25)}html.theme--catppuccin-mocha .button.is-light:active,html.theme--catppuccin-mocha .button.is-light.is-active{background-color:#e8e8e8;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-light{background-color:#f5f5f5;border-color:#f5f5f5;box-shadow:none}html.theme--catppuccin-mocha .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-inverted:hover,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-mocha .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-mocha .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-outlined:hover,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-light.is-outlined:focus,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-focused{background-color:#f5f5f5;border-color:#f5f5f5;color:rgba(0,0,0,0.7)}html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-light.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .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-mocha .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-light.is-outlined{background-color:transparent;border-color:#f5f5f5;box-shadow:none;color:#f5f5f5}html.theme--catppuccin-mocha .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-mocha .button.is-light.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#f5f5f5}html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #f5f5f5 #f5f5f5 !important}html.theme--catppuccin-mocha .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .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-mocha .button.is-dark,html.theme--catppuccin-mocha .content kbd.button{background-color:#313244;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark:hover,html.theme--catppuccin-mocha .content kbd.button:hover,html.theme--catppuccin-mocha .button.is-dark.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-hovered{background-color:#2c2d3d;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark:focus,html.theme--catppuccin-mocha .content kbd.button:focus,html.theme--catppuccin-mocha .button.is-dark.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark:focus:not(:active),html.theme--catppuccin-mocha .content kbd.button:focus:not(:active),html.theme--catppuccin-mocha .button.is-dark.is-focused:not(:active),html.theme--catppuccin-mocha .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(49,50,68,0.25)}html.theme--catppuccin-mocha .button.is-dark:active,html.theme--catppuccin-mocha .content kbd.button:active,html.theme--catppuccin-mocha .button.is-dark.is-active,html.theme--catppuccin-mocha .content kbd.button.is-active{background-color:#262735;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-dark[disabled],html.theme--catppuccin-mocha .content kbd.button[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button{background-color:#313244;border-color:#313244;box-shadow:none}html.theme--catppuccin-mocha .button.is-dark.is-inverted,html.theme--catppuccin-mocha .content kbd.button.is-inverted{background-color:#fff;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-inverted:hover,html.theme--catppuccin-mocha .content kbd.button.is-inverted:hover,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-dark.is-inverted[disabled],html.theme--catppuccin-mocha .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark.is-inverted,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-loading::after,html.theme--catppuccin-mocha .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-dark.is-outlined,html.theme--catppuccin-mocha .content kbd.button.is-outlined{background-color:transparent;border-color:#313244;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-outlined:hover,html.theme--catppuccin-mocha .content kbd.button.is-outlined:hover,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-dark.is-outlined:focus,html.theme--catppuccin-mocha .content kbd.button.is-outlined:focus,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-focused{background-color:#313244;border-color:#313244;color:#fff}html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #313244 #313244 !important}html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-mocha .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-dark.is-outlined[disabled],html.theme--catppuccin-mocha .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark.is-outlined,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button.is-outlined{background-color:transparent;border-color:#313244;box-shadow:none;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined:hover,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined:focus,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#313244}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #313244 #313244 !important}html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined[disabled],html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--catppuccin-mocha .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--catppuccin-mocha .button.is-primary,html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink{background-color:#89b4fa;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-primary:hover,html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink:hover,html.theme--catppuccin-mocha .button.is-primary.is-hovered,html.theme--catppuccin-mocha .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#7dacf9;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-primary:focus,html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink:focus,html.theme--catppuccin-mocha .button.is-primary.is-focused,html.theme--catppuccin-mocha .docstring>section>a.button.is-focused.docs-sourcelink{border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-primary:focus:not(:active),html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink:focus:not(:active),html.theme--catppuccin-mocha .button.is-primary.is-focused:not(:active),html.theme--catppuccin-mocha .docstring>section>a.button.is-focused.docs-sourcelink:not(:active){box-shadow:0 0 0 0.125em rgba(137,180,250,0.25)}html.theme--catppuccin-mocha .button.is-primary:active,html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink:active,html.theme--catppuccin-mocha .button.is-primary.is-active,html.theme--catppuccin-mocha .docstring>section>a.button.is-active.docs-sourcelink{background-color:#71a4f9;border-color:transparent;color:#fff}html.theme--catppuccin-mocha .button.is-primary[disabled],html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-primary,fieldset[disabled] html.theme--catppuccin-mocha .docstring>section>a.button.docs-sourcelink{background-color:#89b4fa;border-color:#89b4fa;box-shadow:none}html.theme--catppuccin-mocha .button.is-primary.is-inverted,html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;color:#89b4fa}html.theme--catppuccin-mocha .button.is-primary.is-inverted:hover,html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.docs-sourcelink:hover,html.theme--catppuccin-mocha .button.is-primary.is-inverted.is-hovered,html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.is-hovered.docs-sourcelink{background-color:#f2f2f2}html.theme--catppuccin-mocha .button.is-primary.is-inverted[disabled],html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.docs-sourcelink[disabled],fieldset[disabled] html.theme--catppuccin-mocha .button.is-primary.is-inverted,fieldset[disabled] html.theme--catppuccin-mocha .docstring>section>a.button.is-inverted.docs-sourcelink{background-color:#fff;border-color:transparent;box-shadow:none;color:#89b4fa}html.theme--catppuccin-mocha .button.is-primary.is-loading::after,html.theme--catppuccin-mocha .docstring>section>a.button.is-loading.docs-sourcelink::after{border-color:transparent transparent #fff #fff !important}html.theme--catppuccin-mocha .button.is-primary.is-outlined,html.theme--catppuccin-mocha 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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 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!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 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input[type="radio"]{vertical-align:baseline}html.theme--documenter-dark small{font-size:.875em}html.theme--documenter-dark span{font-style:inherit;font-weight:inherit}html.theme--documenter-dark strong{color:#f2f2f2;font-weight:700}html.theme--documenter-dark fieldset{border:none}html.theme--documenter-dark pre{-webkit-overflow-scrolling:touch;background-color:#282f2f;color:#fff;font-size:.875em;overflow-x:auto;padding:1.25rem 1.5rem;white-space:pre;word-wrap:normal}html.theme--documenter-dark pre code{background-color:transparent;color:currentColor;font-size:1em;padding:0}html.theme--documenter-dark table td,html.theme--documenter-dark table th{vertical-align:top}html.theme--documenter-dark table td:not([align]),html.theme--documenter-dark table th:not([align]){text-align:inherit}html.theme--documenter-dark table th{color:#f2f2f2}html.theme--documenter-dark .box{background-color:#343c3d;border-radius:8px;box-shadow:none;color:#fff;display:block;padding:1.25rem}html.theme--documenter-dark a.box:hover,html.theme--documenter-dark a.box:focus{box-shadow:0 0.5em 1em -0.125em rgba(10,10,10,0.1),0 0 0 1px #1abc9c}html.theme--documenter-dark a.box:active{box-shadow:inset 0 1px 2px rgba(10,10,10,0.2),0 0 0 1px #1abc9c}html.theme--documenter-dark .button{background-color:#282f2f;border-color:#4c5759;border-width:1px;color:#375a7f;cursor:pointer;justify-content:center;padding-bottom:calc(0.5em - 1px);padding-left:1em;padding-right:1em;padding-top:calc(0.5em - 1px);text-align:center;white-space:nowrap}html.theme--documenter-dark .button strong{color:inherit}html.theme--documenter-dark .button .icon,html.theme--documenter-dark .button .icon.is-small,html.theme--documenter-dark .button #documenter .docs-sidebar form.docs-search>input.icon,html.theme--documenter-dark #documenter .docs-sidebar .button form.docs-search>input.icon,html.theme--documenter-dark .button .icon.is-medium,html.theme--documenter-dark .button .icon.is-large{height:1.5em;width:1.5em}html.theme--documenter-dark .button .icon:first-child:not(:last-child){margin-left:calc(-0.5em - 1px);margin-right:.25em}html.theme--documenter-dark .button .icon:last-child:not(:first-child){margin-left:.25em;margin-right:calc(-0.5em - 1px)}html.theme--documenter-dark .button .icon:first-child:last-child{margin-left:calc(-0.5em - 1px);margin-right:calc(-0.5em - 1px)}html.theme--documenter-dark .button:hover,html.theme--documenter-dark .button.is-hovered{border-color:#8c9b9d;color:#f2f2f2}html.theme--documenter-dark .button:focus,html.theme--documenter-dark .button.is-focused{border-color:#8c9b9d;color:#17a689}html.theme--documenter-dark .button:focus:not(:active),html.theme--documenter-dark .button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(26,188,156,0.25)}html.theme--documenter-dark .button:active,html.theme--documenter-dark .button.is-active{border-color:#343c3d;color:#f2f2f2}html.theme--documenter-dark .button.is-text{background-color:transparent;border-color:transparent;color:#fff;text-decoration:underline}html.theme--documenter-dark .button.is-text:hover,html.theme--documenter-dark .button.is-text.is-hovered,html.theme--documenter-dark .button.is-text:focus,html.theme--documenter-dark .button.is-text.is-focused{background-color:#282f2f;color:#f2f2f2}html.theme--documenter-dark .button.is-text:active,html.theme--documenter-dark .button.is-text.is-active{background-color:#1d2122;color:#f2f2f2}html.theme--documenter-dark .button.is-text[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-text{background-color:transparent;border-color:transparent;box-shadow:none}html.theme--documenter-dark .button.is-ghost{background:none;border-color:rgba(0,0,0,0);color:#1abc9c;text-decoration:none}html.theme--documenter-dark .button.is-ghost:hover,html.theme--documenter-dark .button.is-ghost.is-hovered{color:#1abc9c;text-decoration:underline}html.theme--documenter-dark .button.is-white{background-color:#fff;border-color:transparent;color:#0a0a0a}html.theme--documenter-dark .button.is-white:hover,html.theme--documenter-dark .button.is-white.is-hovered{background-color:#f9f9f9;border-color:transparent;color:#0a0a0a}html.theme--documenter-dark .button.is-white:focus,html.theme--documenter-dark .button.is-white.is-focused{border-color:transparent;color:#0a0a0a}html.theme--documenter-dark .button.is-white:focus:not(:active),html.theme--documenter-dark .button.is-white.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(255,255,255,0.25)}html.theme--documenter-dark .button.is-white:active,html.theme--documenter-dark .button.is-white.is-active{background-color:#f2f2f2;border-color:transparent;color:#0a0a0a}html.theme--documenter-dark .button.is-white[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white{background-color:#fff;border-color:#fff;box-shadow:none}html.theme--documenter-dark .button.is-white.is-inverted{background-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-white.is-inverted:hover,html.theme--documenter-dark .button.is-white.is-inverted.is-hovered{background-color:#000}html.theme--documenter-dark .button.is-white.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted{background-color:#0a0a0a;border-color:transparent;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-white.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-white.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-white.is-outlined:hover,html.theme--documenter-dark .button.is-white.is-outlined.is-hovered,html.theme--documenter-dark .button.is-white.is-outlined:focus,html.theme--documenter-dark .button.is-white.is-outlined.is-focused{background-color:#fff;border-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-white.is-outlined.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-white.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-white.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-white.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-focused{background-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:hover,html.theme--documenter-dark .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:focus,html.theme--documenter-dark .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:focus:not(:active),html.theme--documenter-dark .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--documenter-dark .button.is-black:active,html.theme--documenter-dark .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--documenter-dark .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .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 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.button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#cb3c33}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #cb3c33 #cb3c33 !important}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#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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.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 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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 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.hljs-string{color:#38a}.hljs-emphasis{font-style:italic}.hljs-strong{font-weight:bold}.gap-4{gap:1rem} diff --git a/v0.1.1/assets/themeswap.js b/v0.1.1/assets/themeswap.js new file mode 100644 index 0000000..9f5eebe --- /dev/null +++ b/v0.1.1/assets/themeswap.js @@ -0,0 +1,84 @@ +// Small function to quickly swap out themes. Gets put into the tag.. +function set_theme_from_local_storage() { + // Initialize the theme to null, which means default + var theme = null; + // If the browser supports the localstorage and is not disabled then try to get the + // documenter theme + if (window.localStorage != null) { + // Get the user-picked theme from localStorage. May be `null`, which means the default + // theme. + theme = window.localStorage.getItem("documenter-theme"); + } + // Check if the users preference is for dark color scheme + var darkPreference = + window.matchMedia("(prefers-color-scheme: dark)").matches === true; + // Initialize a few variables for the loop: + // + // - active: will contain the index of the theme that should be active. Note that there + // is no guarantee that localStorage contains sane values. If `active` stays `null` + // we either could not find the theme or it is the default (primary) theme anyway. + // Either way, we then need to stick to the primary theme. + // + // - disabled: style sheets that should be disabled (i.e. all the theme style sheets + // that are not the currently active theme) + var active = null; + var disabled = []; + var primaryLightTheme = null; + var primaryDarkTheme = null; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // To distinguish the default (primary) theme, it needs to have the data-theme-primary + // attribute set. + if (ss.ownerNode.getAttribute("data-theme-primary") !== null) { + primaryLightTheme = themename; + } + // Check if the theme is primary dark theme so that we could store its name in darkTheme + if (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null) { + primaryDarkTheme = themename; + } + // If we find a matching theme (and it's not the default), we'll set active to non-null + if (themename === theme) active = i; + // Store the style sheets of inactive themes so that we could disable them + if (themename !== theme) disabled.push(ss); + } + var activeTheme = null; + if (active !== null) { + // If we did find an active theme, we'll (1) add the theme--$(theme) class to + document.getElementsByTagName("html")[0].className = "theme--" + theme; + activeTheme = theme; + } else { + // If we did _not_ find an active theme, then we need to fall back to the primary theme + // which can either be dark or light, depending on the user's OS preference. + var activeTheme = darkPreference ? primaryDarkTheme : primaryLightTheme; + // In case it somehow happens that the relevant primary theme was not found in the + // preceding loop, we abort without doing anything. + if (activeTheme === null) { + console.error("Unable to determine primary theme."); + return; + } + // When switching to the primary light theme, then we must not have a class name + // for the tag. That's only for non-primary or the primary dark theme. + if (darkPreference) { + document.getElementsByTagName("html")[0].className = + "theme--" + activeTheme; + } else { + document.getElementsByTagName("html")[0].className = ""; + } + } + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // we'll disable all the stylesheets, except for the active one + ss.disabled = !(themename == activeTheme); + } +} +set_theme_from_local_storage(); diff --git a/v0.1.1/assets/warner.js b/v0.1.1/assets/warner.js new file mode 100644 index 0000000..3f6f5d0 --- /dev/null +++ b/v0.1.1/assets/warner.js @@ -0,0 +1,52 @@ +function maybeAddWarning() { + // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE + // in siteinfo.js. + // If either of these are undefined something went horribly wrong, so we abort. + if ( + window.DOCUMENTER_NEWEST === undefined || + window.DOCUMENTER_CURRENT_VERSION === undefined || + window.DOCUMENTER_STABLE === undefined + ) { + return; + } + + // Current version is not a version number, so we can't tell if it's the newest version. Abort. + if (!/v(\d+\.)*\d+/.test(window.DOCUMENTER_CURRENT_VERSION)) { + return; + } + + // Current version is newest version, so no need to add a warning. + if (window.DOCUMENTER_NEWEST === window.DOCUMENTER_CURRENT_VERSION) { + return; + } + + // Add a noindex meta tag (unless one exists) so that search engines don't index this version of the docs. + if (document.body.querySelector('meta[name="robots"]') === null) { + const meta = document.createElement("meta"); + meta.name = "robots"; + meta.content = "noindex"; + + document.getElementsByTagName("head")[0].appendChild(meta); + } + + const div = document.createElement("div"); + div.classList.add("outdated-warning-overlay"); + const closer = document.createElement("button"); + closer.classList.add("outdated-warning-closer", "delete"); + closer.addEventListener("click", function () { + document.body.removeChild(div); + }); + const href = window.documenterBaseURL + "/../" + window.DOCUMENTER_STABLE; + div.innerHTML = + 'This documentation is not for the latest stable release, but for either the development version or an older release.
Click here to go to the documentation for the latest stable release.'; + div.appendChild(closer); + document.body.appendChild(div); +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", maybeAddWarning); +} else { + maybeAddWarning(); +} diff --git a/v0.1.1/generated/ode_integration/index.html b/v0.1.1/generated/ode_integration/index.html new file mode 100644 index 0000000..289937c --- /dev/null +++ b/v0.1.1/generated/ode_integration/index.html @@ -0,0 +1,65 @@ + +ODE integration · DACE.jl
GitHub

ODE integration example

This tutorial shows how to perform the numerical integration of an ordinary differential equation (ODE) using DA objects as the state components' type. It also demonstrates how to extract the state transition matrix (STM) from the polynomial expansion of the dynamics flow.

In this case, the state vector represents an object in orbit around a central body and subject only to the gravitational pull of the latter. Its motion is described by the differential equations for the Kepler problem expressed in Cartesian coordinates.

Install dependencies

Make sure the required packages are installed

using Pkg
+Pkg.add("DACE")

Using DACE

Load the required modules

using OrdinaryDiffEq
+using DACE

Define the parameters and intial conditions for a circular orbit with a normalized radius equal to one

μ = 1.0
+x0 = [1.0, 0.0, 0.0, 0.0, 1.0, 0.0]
6-element Vector{Float64}:
+ 1.0
+ 0.0
+ 0.0
+ 0.0
+ 1.0
+ 0.0

Set the integration time span equal to one revolution

t0 = 0.0
+tf = 2π
6.283185307179586

Define the equations of motion for the resticted two-body problem

function kepler_ode!(du, u, μ, _)
+    du[1:3] .= u[4:6]
+    du[4:6] .= -u[1:3] * μ ./ sum(u[1:3].^2)^(3/2)
+end
kepler_ode! (generic function with 1 method)

Compute the nominal solution

prob = ODEProblem(kepler_ode!, x0, [t0, tf], μ)
+sol = solve(prob, Vern9(), abstol=1e-12, reltol=1e-12)
+
+xf = sol.u[end]
6-element Vector{Float64}:
+  0.9999999999999963
+ -4.963822535880929e-14
+  0.0
+  4.3859021831616145e-14
+  0.9999999999999949
+  0.0

Initialize DACE to compute second-order expansions

DACE.init(2,6)

Define the initial conditions as a DA vector

dx_dace = [DA(i,1.0) for i in 1:6]
+x0_dace = x0 .+ dx_dace
+
+println(x0_dace)
DACE.DAAllocated[     I  COEFFICIENT              ORDER EXPONENTS
+     1    1.0000000000000000e+00   0   0  0  0  0  0  0
+     2    1.0000000000000000e+00   1   1  0  0  0  0  0
+------------------------------------------------
+,      I  COEFFICIENT              ORDER EXPONENTS
+     1    1.0000000000000000e+00   1   0  1  0  0  0  0
+------------------------------------------------
+,      I  COEFFICIENT              ORDER EXPONENTS
+     1    1.0000000000000000e+00   1   0  0  1  0  0  0
+------------------------------------------------
+,      I  COEFFICIENT              ORDER EXPONENTS
+     1    1.0000000000000000e+00   1   0  0  0  1  0  0
+------------------------------------------------
+,      I  COEFFICIENT              ORDER EXPONENTS
+     1    1.0000000000000000e+00   0   0  0  0  0  0  0
+     2    1.0000000000000000e+00   1   0  0  0  0  1  0
+------------------------------------------------
+,      I  COEFFICIENT              ORDER EXPONENTS
+     1    1.0000000000000000e+00   1   0  0  0  0  0  1
+------------------------------------------------
+]
+

Compute the polynomial expansion of the dynamics flow

sol_dace = solve(remake(prob, u0=x0_dace), Vern9(), abstol=1e-12, reltol=1e-12)
+
+xf_dace = sol_dace.u[end]
+xf_cons = DACE.cons.(xf_dace)
6-element Vector{Float64}:
+  0.9999999999999967
+ -6.053491041768666e-14
+  0.0
+  5.355438315035599e-14
+  0.9999999999999952
+  0.0

Verify the (nominal) final state

println("Max abs error on final state: " * string(maximum(abs.(xf_cons - xf))))
Max abs error on final state: 1.0896685058877372e-14
+

Extract the state transition matrix (STM)

stm_dace = DACE.jacobian(xf_dace)
+stm_cons = DACE.cons.(stm_dace)
6×6 Matrix{Float64}:
+   1.0          -1.83384e-13  0.0          -2.40419e-13   -7.38964e-13   0.0
+ -18.8496        1.0          0.0           7.24656e-13  -18.8496        0.0
+   0.0           0.0          1.0           0.0            0.0          -6.05349e-14
+  18.8496       -5.46722e-13  0.0           1.0           18.8496        0.0
+  -1.10489e-12   1.54696e-13  0.0           9.8001e-14     1.0           0.0
+   0.0           0.0          5.35544e-14   0.0            0.0           1.0

This page was generated using Literate.jl.

diff --git a/v0.1.1/generated/polynomial_inversion/index.html b/v0.1.1/generated/polynomial_inversion/index.html new file mode 100644 index 0000000..60ecfa3 --- /dev/null +++ b/v0.1.1/generated/polynomial_inversion/index.html @@ -0,0 +1,48 @@ + +Polynomial inversion · DACE.jl
GitHub

Polynomial inversion

This is a DACE example showing polynomial inversion, demonstrating:

  • How to load DACE.jl
  • How to initialise the DACE library
  • How to create a DA object
  • How to create an AlgebraicVector
  • How to invert a Taylor polynomial

Install dependencies

Make sure the required packages are installed

using Pkg
+Pkg.add("DACE")

Using DACE

Write

using DACE

to load DACE functions and objects into our script.

Initialise DACE for 10th-order computations in 1 variable

DACE.init(10, 1)

Initialise x as a DA object

x = DACE.DA(1, 1)
     I  COEFFICIENT              ORDER EXPONENTS
+     1    1.0000000000000000e+00   1   1
+------------------------------------------------
+

Create y as AlgebraicVector of type DA and size 1

y = AlgebraicVector{DA}(1)
1-element DACE.AlgebraicVectorAllocated{DA}:
+         ALL COEFFICIENTS ZERO
+------------------------------------------------
+

Store the Taylor expansion of sin(x) in the first element of y

y[1] = sin(x)
     I  COEFFICIENT              ORDER EXPONENTS
+     1    1.0000000000000000e+00   1   1
+     2   -1.6666666666666666e-01   3   3
+     3    8.3333333333333332e-03   5   5
+     4   -1.9841269841269841e-04   7   7
+     5    2.7557319223985893e-06   9   9
+------------------------------------------------
+

Invert the Taylor polynomial

inv_y = DACE.invert(y)
1-element DACE.AlgebraicVectorAllocated{DA}:
+      I  COEFFICIENT              ORDER EXPONENTS
+     1    1.0000000000000000e+00   1   1
+     2    1.6666666666666666e-01   3   3
+     3    7.4999999999999997e-02   5   5
+     4    4.4642857142857137e-02   7   7
+     5    3.0381944444444437e-02   9   9
+------------------------------------------------
+

Finally compare the polynomial inversion of sin(x)

println("polynomial inversion of sin(x)")
+println(inv_y)
polynomial inversion of sin(x)
+[[[ 1 vector
+     I  COEFFICIENT              ORDER EXPONENTS
+     1    1.0000000000000000e+00   1   1
+     2    1.6666666666666666e-01   3   3
+     3    7.4999999999999997e-02   5   5
+     4    4.4642857142857137e-02   7   7
+     5    3.0381944444444437e-02   9   9
+------------------------------------------------
+
+]]]
+
+
+

with asin(x)

println("asin(x)")
+println(asin(x))
asin(x)
+     I  COEFFICIENT              ORDER EXPONENTS
+     1    1.0000000000000000e+00   1   1
+     2    1.6666666666666669e-01   3   3
+     3    7.5000000000000067e-02   5   5
+     4    4.4642857142857206e-02   7   7
+     5    3.0381944444444586e-02   9   9
+------------------------------------------------
+
+

This page was generated using Literate.jl.

diff --git a/v0.1.1/generated/sine/index.html b/v0.1.1/generated/sine/index.html new file mode 100644 index 0000000..347a88c --- /dev/null +++ b/v0.1.1/generated/sine/index.html @@ -0,0 +1,41 @@ + +Sine function · DACE.jl
GitHub

Sine example

This is a simple DACE example using the sine function, which demonstrates:

  • How to load DACE.jl
  • How to initialise the DACE library
  • How to create a DA object
  • How to compute the sine of a DA object
  • How to print a DA object to screen
  • How to evaluate a DA object

Install dependencies

Make sure the required packages are installed

using Pkg
+Pkg.add("DACE")

Using DACE

Write

using DACE

to load DACE functions and objects into our script.

Initialise DACE for 20th-order computations in 1 variable

DACE.init(20, 1)

Initialise x as a DA object

x = DACE.DA(1, 1)
     I  COEFFICIENT              ORDER EXPONENTS
+     1    1.0000000000000000e+00   1   1
+------------------------------------------------
+

Initialise y as the Taylor expansion of sin(x)

y = sin(x)
     I  COEFFICIENT              ORDER EXPONENTS
+     1    1.0000000000000000e+00   1   1
+     2   -1.6666666666666666e-01   3   3
+     3    8.3333333333333332e-03   5   5
+     4   -1.9841269841269841e-04   7   7
+     5    2.7557319223985893e-06   9   9
+     6   -2.5052108385441720e-08  11  11
+     7    1.6059043836821616e-10  13  13
+     8   -7.6471637318198174e-13  15  15
+     9    2.8114572543455210e-15  17  17
+    10   -8.2206352466243310e-18  19  19
+------------------------------------------------
+

Print x and y to screen

println("x")
+print(x)
+println("y = sin(x)")
+print(y)
x
+     I  COEFFICIENT              ORDER EXPONENTS
+     1    1.0000000000000000e+00   1   1
+------------------------------------------------
+y = sin(x)
+     I  COEFFICIENT              ORDER EXPONENTS
+     1    1.0000000000000000e+00   1   1
+     2   -1.6666666666666666e-01   3   3
+     3    8.3333333333333332e-03   5   5
+     4   -1.9841269841269841e-04   7   7
+     5    2.7557319223985893e-06   9   9
+     6   -2.5052108385441720e-08  11  11
+     7    1.6059043836821616e-10  13  13
+     8   -7.6471637318198174e-13  15  15
+     9    2.8114572543455210e-15  17  17
+    10   -8.2206352466243310e-18  19  19
+------------------------------------------------
+

Evaluate y at 1.0 and compare with the builtin sin function.

println("  y(1.0) = $(DACE.evalScalar(y, 1.0))")
+println("sin(1.0) = $(sin(1.0))")
  y(1.0) = 0.8414709848078965
+sin(1.0) = 0.8414709848078965
+

This page was generated using Literate.jl.

diff --git a/v0.1.1/index.html b/v0.1.1/index.html new file mode 100644 index 0000000..29cc8a4 --- /dev/null +++ b/v0.1.1/index.html @@ -0,0 +1,2 @@ + +Home · DACE.jl
GitHub

DACE.jl

This is the documentation page for DACE.jl, a Julia interface to the DACE library.

Getting started

DACE.jl can be installed using the Julia package manager. From the Julia REPL, type ] to enter the Pkg REPL mode and run

pkg> add DACE

Notes about the interface

  • The Julia interface is built using CxxWrap.jl
  • The C++ source for the interface is currently in this fork of the DACE library
  • The C++ code gets built by BinaryBuilder and released into the Julia registry
    • the build recipe is located here
  • The Julia component of the interface is currently here
    • the DACE library has been released to the Julia General registry

The above may change, in particular we hope to:

  • merge the forked DACE library back to upstream, if possible
  • move the DACE.jl package under the dacelib organisation on GitHub, if possible

Differences compared to the C++ interface

DA constructor

The DA constructor is different in the Julia interface compared to C++. In C++ if you create a DA object with a single argument the behaviour is different depending on whether the argument is an integer or double. For example, in C++:

  • DA(1) creates a DA object representing 1.0 times the independent variable number 1
  • DA(1.0) creates a DA object with the constant part equal to 1.0
  • DA(1, 1.0) or DA(1, 1) both create a DA representing 1.0 times the independent variable number 1 (same as first bullet point above)

In Julia with CxxWrap, there is an issue detecting the difference between integer and double when passing a single value on Windows, resulting in huge numbers of warnings being printed to screen. Therefore, in the Julia interface we have:

  • DA(1) and DA(1.0) both create a DA object with the constant part equal to 1.0
  • DA(1, 1.0) or DA(1, 1) both create a DA representing 1.0 times the independent variable number 1
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-0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"api/#API","page":"API","title":"API","text":"","category":"section"},{"location":"api/","page":"API","title":"API","text":"CurrentModule = DACE","category":"page"},{"location":"api/","page":"API","title":"API","text":"","category":"page"},{"location":"api/","page":"API","title":"API","text":"Modules = [DACE]","category":"page"},{"location":"api/#DACE.DA","page":"API","title":"DACE.DA","text":"abstract type DA <: Real\n\nDA object representing a single polynomial.\n\nThe default constructor (with no arguments) creates an empty DA object representing the constant zero function.\n\n\n\n\n\n","category":"type"},{"location":"api/#DACE.DA-Tuple{Integer, Number}","page":"API","title":"DACE.DA","text":"DA(i::Integer, c::Number)\n\nCreate a DA object as c times the independent variable number i.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.DA-Tuple{Number}","page":"API","title":"DACE.DA","text":"DA(c::Number)\n\nCreate a DA object with the constant part equal to c.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.deriv-Tuple{Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}}, Integer}","page":"API","title":"DACE.deriv","text":"deriv(\n arg1::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}},\n arg2::Integer\n) -> DACE.DAAllocated\n\n\nDerivative of DA arg1 with respect to given variable, arg2\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.deriv-Tuple{Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}}, Union{CxxWrap.CxxWrapCore.ConstCxxRef{CxxWrap.StdLib.StdVector{UInt32}}, CxxWrap.CxxWrapCore.CxxRef{CxxWrap.StdLib.StdVector{UInt32}}, CxxWrap.StdLib.StdVector{UInt32}}}","page":"API","title":"DACE.deriv","text":"deriv(\n arg1::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}},\n arg2::Union{CxxWrap.CxxWrapCore.ConstCxxRef{CxxWrap.StdLib.StdVector{UInt32}}, CxxWrap.CxxWrapCore.CxxRef{CxxWrap.StdLib.StdVector{UInt32}}, CxxWrap.StdLib.StdVector{UInt32}}\n) -> DACE.DAAllocated\n\n\nDerivative of DA arg1 with respect to given variables, arg2\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.eval-Tuple{Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}}, Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}}}","page":"API","title":"DACE.eval","text":"eval(\n arg1::Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}},\n arg2::Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}}\n) -> DACE.AlgebraicVectorAllocated{DA}\n\n\nEvaluation of arg1 with a vector of arguments, arg2.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.eval-Tuple{Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}}, Union{AlgebraicVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{Float64}}}}","page":"API","title":"DACE.eval","text":"eval(\n arg1::Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}},\n arg2::Union{AlgebraicVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{Float64}}}\n) -> DACE.AlgebraicVectorAllocated{Float64}\n\n\nEvaluation of arg1 with a vector of arguments, arg2.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.eval-Tuple{Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}}, Union{CxxWrap.StdLib.StdVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{DA}}}}","page":"API","title":"DACE.eval","text":"eval(\n arg1::Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}},\n arg2::Union{CxxWrap.StdLib.StdVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{DA}}}\n) -> CxxWrap.StdLib.StdVectorAllocated{DA}\n\n\nEvaluation of arg1 with a vector of arguments, arg2.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.eval-Tuple{Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}}, Union{CxxWrap.StdLib.StdVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{Float64}}}}","page":"API","title":"DACE.eval","text":"eval(\n arg1::Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}},\n arg2::Union{CxxWrap.StdLib.StdVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{Float64}}}\n) -> CxxWrap.StdLib.StdVectorAllocated{Float64}\n\n\nEvaluation of arg1 with a vector of arguments, arg2.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.eval-Tuple{Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}}, Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}}}","page":"API","title":"DACE.eval","text":"eval(\n arg1::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}},\n arg2::Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}}\n) -> DACE.DAAllocated\n\n\nEvaluation of arg1 with a vector of arguments, arg2.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.eval-Tuple{Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}}, Union{AlgebraicVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{Float64}}}}","page":"API","title":"DACE.eval","text":"eval(\n arg1::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}},\n arg2::Union{AlgebraicVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{Float64}}}\n) -> Float64\n\n\nEvaluation of arg1 with a vector of arguments, arg2.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.eval-Tuple{Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}}, Union{CxxWrap.StdLib.StdVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{DA}}}}","page":"API","title":"DACE.eval","text":"eval(\n arg1::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}},\n arg2::Union{CxxWrap.StdLib.StdVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{DA}}}\n) -> DACE.DAAllocated\n\n\nEvaluation of arg1 with a vector of arguments, arg2.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.eval-Tuple{Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}}, Union{CxxWrap.StdLib.StdVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{Float64}}}}","page":"API","title":"DACE.eval","text":"eval(\n arg1::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}},\n arg2::Union{CxxWrap.StdLib.StdVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{Float64}}}\n) -> Float64\n\n\nEvaluation of arg1 with a vector of arguments, arg2.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.eval-Tuple{Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}}, Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}}, Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}}}","page":"API","title":"DACE.eval","text":"eval(\n arg1::Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}},\n arg2::Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}},\n arg3::Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}}\n)\n\n\nEvaluate the compiled polynomial, arg1, with a vector of any arithmetic type, arg2, and return vector of results, arg3.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.eval-Tuple{Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}}, Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}}}","page":"API","title":"DACE.eval","text":"eval(\n arg1::Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}},\n arg2::Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}}\n) -> DACE.AlgebraicVectorAllocated{DA}\n\n\nEvaluation of arg1 with a vector of arguments, arg2.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.eval-Tuple{Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}}, Union{AlgebraicVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{Float64}}}, Union{AlgebraicVector{Float64}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{Float64}}}}","page":"API","title":"DACE.eval","text":"eval(\n arg1::Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}},\n arg2::Union{AlgebraicVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{Float64}}},\n arg3::Union{AlgebraicVector{Float64}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{Float64}}}\n)\n\n\nEvaluate the compiled polynomial, arg1, with a vector of any arithmetic type, arg2, and return vector of results, arg3.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.eval-Tuple{Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}}, Union{AlgebraicVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{Float64}}}}","page":"API","title":"DACE.eval","text":"eval(\n arg1::Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}},\n arg2::Union{AlgebraicVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{Float64}}}\n) -> DACE.AlgebraicVectorAllocated{Float64}\n\n\nEvaluation of arg1 with a vector of arguments, arg2.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.eval-Tuple{Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}}, Union{CxxWrap.StdLib.StdVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{DA}}}, Union{CxxWrap.StdLib.StdVector{DA}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{DA}}}}","page":"API","title":"DACE.eval","text":"eval(\n arg1::Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}},\n arg2::Union{CxxWrap.StdLib.StdVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{DA}}},\n arg3::Union{CxxWrap.StdLib.StdVector{DA}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{DA}}}\n)\n\n\nEvaluate the compiled polynomial, arg1, with a vector of any arithmetic type, arg2, and return vector of results, arg3.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.eval-Tuple{Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}}, Union{CxxWrap.StdLib.StdVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{DA}}}}","page":"API","title":"DACE.eval","text":"eval(\n arg1::Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}},\n arg2::Union{CxxWrap.StdLib.StdVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{DA}}}\n) -> CxxWrap.StdLib.StdVectorAllocated{DA}\n\n\nEvaluation of arg1 with a vector of arguments, arg2.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.eval-Tuple{Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}}, Union{CxxWrap.StdLib.StdVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{Float64}}}, Union{CxxWrap.StdLib.StdVector{Float64}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{Float64}}}}","page":"API","title":"DACE.eval","text":"eval(\n arg1::Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}},\n arg2::Union{CxxWrap.StdLib.StdVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{Float64}}},\n arg3::Union{CxxWrap.StdLib.StdVector{Float64}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{Float64}}}\n)\n\n\nEvaluate the compiled polynomial, arg1, with a vector of any arithmetic type, arg2, and return vector of results, arg3.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.eval-Tuple{Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}}, Union{CxxWrap.StdLib.StdVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{Float64}}}}","page":"API","title":"DACE.eval","text":"eval(\n arg1::Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}},\n arg2::Union{CxxWrap.StdLib.StdVector{Float64}, CxxWrap.CxxWrapCore.ConstCxxRef{<:CxxWrap.StdLib.StdVector{Float64}}, CxxWrap.CxxWrapCore.CxxRef{<:CxxWrap.StdLib.StdVector{Float64}}}\n) -> CxxWrap.StdLib.StdVectorAllocated{Float64}\n\n\nEvaluation of arg1 with a vector of arguments, arg2.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.evalScalar-Tuple{Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}}, Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}}}","page":"API","title":"DACE.evalScalar","text":"evalScalar(\n arg1::Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}},\n arg2::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}}\n) -> DACE.AlgebraicVectorAllocated{DA}\n\n\nEvaluation of arg1 with a single arithmetic type argument, arg2.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.evalScalar-Tuple{Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}}, Union{Float64, Int64, Ref{Float64}, Irrational}}","page":"API","title":"DACE.evalScalar","text":"evalScalar(\n arg1::Union{AlgebraicVector{DA}, CxxWrap.CxxWrapCore.ConstCxxRef{<:AlgebraicVector{DA}}, CxxWrap.CxxWrapCore.CxxRef{<:AlgebraicVector{DA}}},\n arg2::Union{Float64, Int64, Ref{Float64}, Irrational}\n) -> DACE.AlgebraicVectorAllocated{Float64}\n\n\nEvaluation of arg1 with a single arithmetic type argument, arg2.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.evalScalar-Tuple{Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}}, Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}}}","page":"API","title":"DACE.evalScalar","text":"evalScalar(\n arg1::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}},\n arg2::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}}\n) -> DACE.DAAllocated\n\n\nEvaluation of arg1 with a single arithmetic type argument, arg2.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.evalScalar-Tuple{Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}}, Union{Float64, Int64, Ref{Float64}, Irrational}}","page":"API","title":"DACE.evalScalar","text":"evalScalar(\n arg1::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}},\n arg2::Union{Float64, Int64, Ref{Float64}, Irrational}\n) -> Float64\n\n\nEvaluation of arg1 with a single arithmetic type argument, arg2.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.evalScalar-Tuple{Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}}, Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}}}","page":"API","title":"DACE.evalScalar","text":"evalScalar(\n arg1::Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}},\n arg2::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}}\n) -> CxxWrap.StdLib.StdVectorAllocated{DA}\n\n\nEvaluation of arg1 with a single arithmetic type argument, arg2.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.evalScalar-Tuple{Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}}, Union{Float64, Int64, Ref{Float64}, Irrational}}","page":"API","title":"DACE.evalScalar","text":"evalScalar(\n arg1::Union{compiledDA, CxxWrap.CxxWrapCore.ConstCxxRef{<:compiledDA}, CxxWrap.CxxWrapCore.CxxRef{<:compiledDA}},\n arg2::Union{Float64, Int64, Ref{Float64}, Irrational}\n) -> CxxWrap.StdLib.StdVectorAllocated{Float64}\n\n\nEvaluation of arg1 with a single arithmetic type argument, arg2.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.getEps-Tuple{}","page":"API","title":"DACE.getEps","text":"getEps() -> Float64\n\n\nReturn the cutoff value eps currently set for computations, or zero if undefined.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.getEpsMac-Tuple{}","page":"API","title":"DACE.getEpsMac","text":"getEpsMac() -> Float64\n\n\nReturn the machine epsilon (pessimistic estimate), or zero if undefined.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.getMaxMonomials-Tuple{}","page":"API","title":"DACE.getMaxMonomials","text":"getMaxMonomials() -> Int64\n\n\nReturn the maximum number of monomials available with the order and number of variables specified, or zero if undefined.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.getMaxOrder-Tuple{}","page":"API","title":"DACE.getMaxOrder","text":"getMaxOrder() -> Int64\n\n\nReturn the maximum order currently set for the computation, or zero if undefined.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.getMaxVariables-Tuple{}","page":"API","title":"DACE.getMaxVariables","text":"getMaxVariables() -> Int64\n\n\nReturn the maximum number of variables set for the computations, or zero if undefined.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.getMonomials-Tuple{Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}}}","page":"API","title":"DACE.getMonomials","text":"getMonomials(\n arg1::Union{DA, CxxWrap.CxxWrapCore.ConstCxxRef{<:DA}, CxxWrap.CxxWrapCore.CxxRef{<:DA}}\n) -> CxxWrap.StdLib.StdVectorAllocated{DACE.Monomial}\n\n\nGet vector of all non-zero Monomials for DA arg1\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.getTO-Tuple{}","page":"API","title":"DACE.getTO","text":"getTO() -> Int64\n\n\nReturn the truncation order currently set for computations, or zero if undefined.\n\nAll terms larger than the truncation order are discarded in subsequent operations.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.init-Tuple{Integer, Integer}","page":"API","title":"DACE.init","text":"init(arg1::Integer, arg2::Integer)\n\n\nInitialize the DACE control arrays and set the maximum order, arg1, and the maximum number of variables, arg2.\n\nNote: must be called before any other DA routine can be used!\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.popTO-Tuple{}","page":"API","title":"DACE.popTO","text":"popTO()\n\n\nRestore the previous truncation order from the truncation order stack.\n\nAll terms larger than the truncation order are discarded in subsequent operations.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.pushTO-Tuple{Integer}","page":"API","title":"DACE.pushTO","text":"pushTO(arg1::Integer)\n\n\nSet a new trunction order (arg1), saving the previous one on the truncation order stack.\n\nAll terms larger than the truncation order are discarded in subsequent operations.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.setEps-Tuple{Union{Float64, Int64, Irrational}}","page":"API","title":"DACE.setEps","text":"setEps(arg1::Union{Float64, Int64, Irrational}) -> Float64\n\n\nSet the cutoff value eps to arg1 and return the previous value, or zero if undefined.\n\n\n\n\n\n","category":"method"},{"location":"api/#DACE.setTO-Tuple{Integer}","page":"API","title":"DACE.setTO","text":"setTO(arg1::Integer) -> Int64\n\n\nSet the truncation order to arg1 and return the previous value, or zero if undefined.\n\nAll terms larger than the truncation order are discarded in subsequent operations.\n\n\n\n\n\n","category":"method"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"EditURL = \"../../../examples/polynomial_inversion.jl\"","category":"page"},{"location":"generated/polynomial_inversion/#Polynomial-inversion","page":"Polynomial inversion","title":"Polynomial inversion","text":"","category":"section"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"This is a DACE example showing polynomial inversion, demonstrating:","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"How to load DACE.jl\nHow to initialise the DACE library\nHow to create a DA object\nHow to create an AlgebraicVector\nHow to invert a Taylor polynomial","category":"page"},{"location":"generated/polynomial_inversion/#Install-dependencies","page":"Polynomial inversion","title":"Install dependencies","text":"","category":"section"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"Make sure the required packages are installed","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"using Pkg\nPkg.add(\"DACE\")","category":"page"},{"location":"generated/polynomial_inversion/#Using-DACE","page":"Polynomial inversion","title":"Using DACE","text":"","category":"section"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"Write","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"using DACE","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"to load DACE functions and objects into our script.","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"Initialise DACE for 10th-order computations in 1 variable","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"DACE.init(10, 1)","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"Initialise x as a DA object","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"x = DACE.DA(1, 1)","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":" I COEFFICIENT ORDER EXPONENTS\n 1 1.0000000000000000e+00 1 1\n------------------------------------------------\n","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"Create y as AlgebraicVector of type DA and size 1","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"y = AlgebraicVector{DA}(1)","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"1-element DACE.AlgebraicVectorAllocated{DA}:\n ALL COEFFICIENTS ZERO\n------------------------------------------------\n","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"Store the Taylor expansion of sin(x) in the first element of y","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"y[1] = sin(x)","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":" I COEFFICIENT ORDER EXPONENTS\n 1 1.0000000000000000e+00 1 1\n 2 -1.6666666666666666e-01 3 3\n 3 8.3333333333333332e-03 5 5\n 4 -1.9841269841269841e-04 7 7\n 5 2.7557319223985893e-06 9 9\n------------------------------------------------\n","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"Invert the Taylor polynomial","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"inv_y = DACE.invert(y)","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"1-element DACE.AlgebraicVectorAllocated{DA}:\n I COEFFICIENT ORDER EXPONENTS\n 1 1.0000000000000000e+00 1 1\n 2 1.6666666666666666e-01 3 3\n 3 7.4999999999999997e-02 5 5\n 4 4.4642857142857137e-02 7 7\n 5 3.0381944444444437e-02 9 9\n------------------------------------------------\n","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"Finally compare the polynomial inversion of sin(x)","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"println(\"polynomial inversion of sin(x)\")\nprintln(inv_y)","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"polynomial inversion of sin(x)\n[[[ 1 vector\n I COEFFICIENT ORDER EXPONENTS\n 1 1.0000000000000000e+00 1 1\n 2 1.6666666666666666e-01 3 3\n 3 7.4999999999999997e-02 5 5\n 4 4.4642857142857137e-02 7 7\n 5 3.0381944444444437e-02 9 9\n------------------------------------------------\n\n]]]\n\n\n","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"with asin(x)","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"println(\"asin(x)\")\nprintln(asin(x))","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"asin(x)\n I COEFFICIENT ORDER EXPONENTS\n 1 1.0000000000000000e+00 1 1\n 2 1.6666666666666669e-01 3 3\n 3 7.5000000000000067e-02 5 5\n 4 4.4642857142857206e-02 7 7\n 5 3.0381944444444586e-02 9 9\n------------------------------------------------\n\n","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"","category":"page"},{"location":"generated/polynomial_inversion/","page":"Polynomial inversion","title":"Polynomial inversion","text":"This page was generated using Literate.jl.","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"EditURL = \"../../../examples/ode_integration.jl\"","category":"page"},{"location":"generated/ode_integration/#ODE-integration-example","page":"ODE integration","title":"ODE integration example","text":"","category":"section"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"This tutorial shows how to perform the numerical integration of an ordinary differential equation (ODE) using DA objects as the state components' type. It also demonstrates how to extract the state transition matrix (STM) from the polynomial expansion of the dynamics flow.","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"In this case, the state vector represents an object in orbit around a central body and subject only to the gravitational pull of the latter. Its motion is described by the differential equations for the Kepler problem expressed in Cartesian coordinates.","category":"page"},{"location":"generated/ode_integration/#Install-dependencies","page":"ODE integration","title":"Install dependencies","text":"","category":"section"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"Make sure the required packages are installed","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"using Pkg\nPkg.add(\"DACE\")","category":"page"},{"location":"generated/ode_integration/#Using-DACE","page":"ODE integration","title":"Using DACE","text":"","category":"section"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"Load the required modules","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"using OrdinaryDiffEq\nusing DACE","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"Define the parameters and intial conditions for a circular orbit with a normalized radius equal to one","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"μ = 1.0\nx0 = [1.0, 0.0, 0.0, 0.0, 1.0, 0.0]","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"6-element Vector{Float64}:\n 1.0\n 0.0\n 0.0\n 0.0\n 1.0\n 0.0","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"Set the integration time span equal to one revolution","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"t0 = 0.0\ntf = 2π","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"6.283185307179586","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"Define the equations of motion for the resticted two-body problem","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"function kepler_ode!(du, u, μ, _)\n du[1:3] .= u[4:6]\n du[4:6] .= -u[1:3] * μ ./ sum(u[1:3].^2)^(3/2)\nend","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"kepler_ode! (generic function with 1 method)","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"Compute the nominal solution","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"prob = ODEProblem(kepler_ode!, x0, [t0, tf], μ)\nsol = solve(prob, Vern9(), abstol=1e-12, reltol=1e-12)\n\nxf = sol.u[end]","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"6-element Vector{Float64}:\n 0.9999999999999963\n -4.963822535880929e-14\n 0.0\n 4.3859021831616145e-14\n 0.9999999999999949\n 0.0","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"Initialize DACE to compute second-order expansions","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"DACE.init(2,6)","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"Define the initial conditions as a DA vector","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"dx_dace = [DA(i,1.0) for i in 1:6]\nx0_dace = x0 .+ dx_dace\n\nprintln(x0_dace)","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"DACE.DAAllocated[ I COEFFICIENT ORDER EXPONENTS\n 1 1.0000000000000000e+00 0 0 0 0 0 0 0\n 2 1.0000000000000000e+00 1 1 0 0 0 0 0\n------------------------------------------------\n, I COEFFICIENT ORDER EXPONENTS\n 1 1.0000000000000000e+00 1 0 1 0 0 0 0\n------------------------------------------------\n, I COEFFICIENT ORDER EXPONENTS\n 1 1.0000000000000000e+00 1 0 0 1 0 0 0\n------------------------------------------------\n, I COEFFICIENT ORDER EXPONENTS\n 1 1.0000000000000000e+00 1 0 0 0 1 0 0\n------------------------------------------------\n, I COEFFICIENT ORDER EXPONENTS\n 1 1.0000000000000000e+00 0 0 0 0 0 0 0\n 2 1.0000000000000000e+00 1 0 0 0 0 1 0\n------------------------------------------------\n, I COEFFICIENT ORDER EXPONENTS\n 1 1.0000000000000000e+00 1 0 0 0 0 0 1\n------------------------------------------------\n]\n","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"Compute the polynomial expansion of the dynamics flow","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"sol_dace = solve(remake(prob, u0=x0_dace), Vern9(), abstol=1e-12, reltol=1e-12)\n\nxf_dace = sol_dace.u[end]\nxf_cons = DACE.cons.(xf_dace)","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"6-element Vector{Float64}:\n 0.9999999999999967\n -6.053491041768666e-14\n 0.0\n 5.355438315035599e-14\n 0.9999999999999952\n 0.0","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"Verify the (nominal) final state","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"println(\"Max abs error on final state: \" * string(maximum(abs.(xf_cons - xf))))","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"Max abs error on final state: 1.0896685058877372e-14\n","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"Extract the state transition matrix (STM)","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"stm_dace = DACE.jacobian(xf_dace)\nstm_cons = DACE.cons.(stm_dace)","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"6×6 Matrix{Float64}:\n 1.0 -1.83384e-13 0.0 -2.40419e-13 -7.38964e-13 0.0\n -18.8496 1.0 0.0 7.24656e-13 -18.8496 0.0\n 0.0 0.0 1.0 0.0 0.0 -6.05349e-14\n 18.8496 -5.46722e-13 0.0 1.0 18.8496 0.0\n -1.10489e-12 1.54696e-13 0.0 9.8001e-14 1.0 0.0\n 0.0 0.0 5.35544e-14 0.0 0.0 1.0","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"","category":"page"},{"location":"generated/ode_integration/","page":"ODE integration","title":"ODE integration","text":"This page was generated using Literate.jl.","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/#Modifying-the-C-side-of-the-interface","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"","category":"section"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"This tutorial will give a brief explanation of the C++ side of the DACE Julia interface, which will hopefully allow you to make changes and add new functionality to the interface.","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"Note that there are two sides to the interface:","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"the C++ side of the interface, which exists in the DACE C++ source code\nthe Julia side of the interface, which exists in the DACE.jl Julia package","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"The Julia interface on the C++ side is created using CxxWrap.jl, which is documented in the README.md file in their git repo.","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"note: Note\nIt is assumed that you have successfully followed the tutorial to set up your development environment. It is also assumed that you will refer to the CxxWrap.jl documentation.","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/#Switch-to-your-dace-directory","page":"Modifying the C++ side of the interface","title":"Switch to your dace directory","text":"","category":"section"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"Switch to your dace directory that you set up during the setting up your development environment tutorial","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"cd /path/to/dace","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"Inside that directory you should see a sub-directory called build which is where we have compiled the DACE C++ library. You should also see an interfaces directory. Switch into the interfaces/julia directory","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"cd interfaces/julia","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"Inside this directory you will see the file dace_julia.cxx, which contains the source code for the Julia interface.","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/#Defining-the-Julia-module","page":"Modifying the C++ side of the interface","title":"Defining the Julia module","text":"","category":"section"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"In dace_julia.cxx you will see","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"JLCXX_MODULE define_julia_module(jlcxx::module& mod) {\n // code omitted here\n}","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"All the methods and types defined within the define_julia_module function using mod will belong to the generated Julia module when we load it in the DACE.jl package.","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"Refer also to the CxxWrap.jl module entry point documentation.","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/#Adding-DA-static-methods","page":"Modifying the C++ side of the interface","title":"Adding DA static methods","text":"","category":"section"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"In the first section of the define_julia_module function we add some DA static methods:","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"// add DA static methods separately\nmod.method(\"init\", [](const unsigned int ord, const unsigned int nvar) {\n DA::init(ord, nvar);\n });\nmod.method(\"getMaxOrder\", []()->int64_t { return DA::getMaxOrder(); });\nmod.method(\"getMaxVariables\", []()->int64_t { return DA::getMaxVariables(); });\nmod.method(\"getMaxMonomials\", []()->int64_t { return DA::getMaxMonomials(); });\nmod.method(\"setEps\", [](const double eps) { return DA::setEps(eps); });\nmod.method(\"getEps\", []() { return DA::getEps(); });\nmod.method(\"getEpsMac\", []() { return DA::getEpsMac(); });\nmod.method(\"setTO\", [](const unsigned int ot) { return DA::setTO(ot); });\nmod.method(\"getTO\", []() { return DA::getTO(); });\nmod.method(\"pushTO\", [](const unsigned int ot) { DA::pushTO(ot); });\nmod.method(\"popTO\", []() { DA::popTO(); });","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"Here mod is the Julia module and when we call mod.method we are adding a new method (function) to the Julia module.","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"Take the init function for example:","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"mod.method(\"init\", [](const unsigned int ord, const unsigned int nvar) { DA::init(ord, nvar); });","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"The first argument to mod.method is the name of the function as it should appear in the Julia module that we are creating, in this case the new function will be named init.","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"The second argument to mod.method is the C++ function that should be called when some calls the init function in the Julia module that we are creating. In this case we are using a C++ lambda function but you could pass a normal C++ function also. The lambda function, denoted by the [], takes two arguments, ord and nvar (the order and number of variables) and runs the code within the curly braces, DA::init(ord, nvar);, i.e. it calls the DA static method init with the two arguments that were passed in from Julia.","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"You can return values back to Julia and CxxWrap.jl can automatically infer the type of the return value, such as:","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"mod.method(\"getEps\", []() { return DA::getEps(); });","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"is a lambda function ([]) that takes no arguments (()) and returns the epsilon value return DA::getEps(); and automatically converts the C++ return type to a Julia type.","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"It is also possible to specify the return type, which we have done in some cases to avoid compiler warnings, e.g. we specify the return type of getMaxOrder to be of type int64_t here:","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"mod.method(\"getMaxOrder\", []()->int64_t { return DA::getMaxOrder(); });","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/#Adding-the-DA-type","page":"Modifying the C++ side of the interface","title":"Adding the DA type","text":"","category":"section"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"Refer to the CxxWrap.jl documentation about exposing C++ classes.","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"C++ classes are exposed to Julia using mod.add_type<>(), for example we expose the DA class with:","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"// add the DA object\nmod.add_type(\"DA\", jlcxx::julia_type(\"Real\", \"Base\"))","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"Here the template parameter, , is the C++ class to expose, the first argument \"DA\" is the name of corresponding type to create in Julia and the optional second argument can be used to specify which type the new type should inherit from. In this case the Julia DA type will inherit from the Julia Real type (jlcxx::julia_type(\"Real\", \"Base\")).","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"Different constructors for the new type can be added, here we define three constructors:","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"mod.add_type(\"DA\", jlcxx::julia_type(\"Real\", \"Base\"))\n .constructor<>()\n .constructor()\n .constructor()","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":".constructor<>(): the default constructor that takes no arguments\n.constructor(): the DA constructor that takes and integer and double","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"CxxWrap will automatically call the correct C++ constructor that matches the arguments in the template parameters.","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/#Adding-methods-to-the-DA-type","page":"Modifying the C++ side of the interface","title":"Adding methods to the DA type","text":"","category":"section"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"Methods can be chained onto the mod.add_type or defined separately. An example of chaining a method is:","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"mod.add_type(\"DA\", jlcxx::julia_type(\"Real\", \"Base\"))\n .constructor<>()\n .constructor()\n .constructor()\n .method(\"toString\", &DA::toString);","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"After the three constructors we also add DA::toString as a method in the Julia module named toString. CxxWrap will automatically make the first argument of the method a DA type because we have chained it onto the mod.add_type().","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"We can also directly add DA methods using:","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"mod.method(\"gamma\", [](const DA& da) { return da.GammaFunction(); });","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"which creates a \"gamma\" Julia method that is called with a DA as the first argument and returns the result of calling the C++ DA member function da.GammaFunction().","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/#Adding-methods-to-another-module","page":"Modifying the C++ side of the interface","title":"Adding methods to another module","text":"","category":"section"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"So far, whenever we use mod.method or mod.add_type it adds the methods and types to our new Julia module. We can add methods to another module, such as the Julia Base module, using","category":"page"},{"location":"tutorials/modifying-the-cxx-side-of-the-interface/","page":"Modifying the C++ side of the interface","title":"Modifying the C++ side of the interface","text":"mod.set_override_module(jl_base_module);\n\n// all methods here are added to the base module\nmod.method(\"+\", [](const DA& da1, const DA& da2) { return da1 + da2; });\nmod.method(\"+\", [](const DA& da, const double c) { return da + c; });\nmod.method(\"+\", [](const double c, const DA& da) { return c + da; });\n\n// until we call this, then subsequent calls to mod.method will add methods to our module again\nmod.unset_override_module();","category":"page"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":"EditURL = \"../../../examples/sine.jl\"","category":"page"},{"location":"generated/sine/#Sine-example","page":"Sine function","title":"Sine example","text":"","category":"section"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":"This is a simple DACE example using the sine function, which demonstrates:","category":"page"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":"How to load DACE.jl\nHow to initialise the DACE library\nHow to create a DA object\nHow to compute the sine of a DA object\nHow to print a DA object to screen\nHow to evaluate a DA object","category":"page"},{"location":"generated/sine/#Install-dependencies","page":"Sine function","title":"Install dependencies","text":"","category":"section"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":"Make sure the required packages are installed","category":"page"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":"using Pkg\nPkg.add(\"DACE\")","category":"page"},{"location":"generated/sine/#Using-DACE","page":"Sine function","title":"Using DACE","text":"","category":"section"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":"Write","category":"page"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":"using DACE","category":"page"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":"to load DACE functions and objects into our script.","category":"page"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":"Initialise DACE for 20th-order computations in 1 variable","category":"page"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":"DACE.init(20, 1)","category":"page"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":"Initialise x as a DA object","category":"page"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":"x = DACE.DA(1, 1)","category":"page"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":" I COEFFICIENT ORDER EXPONENTS\n 1 1.0000000000000000e+00 1 1\n------------------------------------------------\n","category":"page"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":"Initialise y as the Taylor expansion of sin(x)","category":"page"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":"y = sin(x)","category":"page"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":" I COEFFICIENT ORDER EXPONENTS\n 1 1.0000000000000000e+00 1 1\n 2 -1.6666666666666666e-01 3 3\n 3 8.3333333333333332e-03 5 5\n 4 -1.9841269841269841e-04 7 7\n 5 2.7557319223985893e-06 9 9\n 6 -2.5052108385441720e-08 11 11\n 7 1.6059043836821616e-10 13 13\n 8 -7.6471637318198174e-13 15 15\n 9 2.8114572543455210e-15 17 17\n 10 -8.2206352466243310e-18 19 19\n------------------------------------------------\n","category":"page"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":"Print x and y to screen","category":"page"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":"println(\"x\")\nprint(x)\nprintln(\"y = sin(x)\")\nprint(y)","category":"page"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":"x\n I COEFFICIENT ORDER EXPONENTS\n 1 1.0000000000000000e+00 1 1\n------------------------------------------------\ny = sin(x)\n I COEFFICIENT ORDER EXPONENTS\n 1 1.0000000000000000e+00 1 1\n 2 -1.6666666666666666e-01 3 3\n 3 8.3333333333333332e-03 5 5\n 4 -1.9841269841269841e-04 7 7\n 5 2.7557319223985893e-06 9 9\n 6 -2.5052108385441720e-08 11 11\n 7 1.6059043836821616e-10 13 13\n 8 -7.6471637318198174e-13 15 15\n 9 2.8114572543455210e-15 17 17\n 10 -8.2206352466243310e-18 19 19\n------------------------------------------------\n","category":"page"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":"Evaluate y at 1.0 and compare with the builtin sin function.","category":"page"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":"println(\" y(1.0) = $(DACE.evalScalar(y, 1.0))\")\nprintln(\"sin(1.0) = $(sin(1.0))\")","category":"page"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":" y(1.0) = 0.8414709848078965\nsin(1.0) = 0.8414709848078965\n","category":"page"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":"","category":"page"},{"location":"generated/sine/","page":"Sine function","title":"Sine function","text":"This page was generated using Literate.jl.","category":"page"},{"location":"tutorials/setting-up-your-development-environment/#Setting-up-your-development-environment","page":"Setting up your development environment","title":"Setting up your development environment","text":"","category":"section"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"This tutorial will run through setting up DACE_jll.jl, DACE.jl and the DACE C++ library for development locally. It has been tested on Linux.","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"After running this tutorial, you should be able to make changes to the C++ code that defines the DACE Julia interface, compile those changes and test them via the DACE.jl Julia package locally.","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"This is based on the upstream binary builder documention for how to develop locally:","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"https://docs.binarybuilder.org/stable/building/#Building-and-testing-JLL-packages-locally\nhttps://docs.binarybuilder.org/stable/jll/#Overriding-the-artifacts-in-JLL-packages","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"and also CxxWrap documentation:","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"https://github.com/JuliaInterop/CxxWrap.jl\nhttps://github.com/JuliaInterop/libcxxwrap-julia","category":"page"},{"location":"tutorials/setting-up-your-development-environment/#Clone-repos","page":"Setting up your development environment","title":"Clone repos","text":"","category":"section"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Create and change to a new directory that we can clone the DACE code into. Then run the following:","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"DACE.jl Julia package\ngit clone https://github.com/a-ev/DACE.jl.git\nDACE C++ library (note specific branch required)\ngit clone --branch julia-interface https://github.com/a-ev/dace.git","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Set an environment variable with the path to the current directory, so we can refer back to it later:","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"export srcdir=$PWD","category":"page"},{"location":"tutorials/setting-up-your-development-environment/#Setup-DACE_jll.jl-for-development","page":"Setting up your development environment","title":"Setup DACE_jll.jl for development","text":"","category":"section"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Switch to the DACE.jl directory that you cloned above:","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"cd ${srcdir}/DACE.jl","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Run julia --project to enter the Julia REPL and enter ] to enter the Pkg REPL mode, then","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"(DACE) pkg> instantiate\n(DACE) pkg> develop DACE_jll","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"After running the above, press backspace to return to the Julia REPL and run","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"julia> using DACE_jll\njulia> DACE_jll.dev_jll()","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"At the end of the above command it will print a location of the override directory, e.g.","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"...\n[ Info: DACE_jll dev'ed out to /home//.julia/dev/DACE_jll with pre-populated override directory","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"The directory /home//.julia/dev/DACE_jll/override contains the dace shared libraries and headers in lib and includes directories. We can delete the contents of this directory and replace it with our own version that we build locally.","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Don't just copy this command, make sure the path corresponds to the path in your output above.","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"rm -rf /home//.julia/dev/DACE_jll/override/*","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Now store the path in an environment variable so that we can use it later (make sure you replace the path below with your path):","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"export dacejllpath=${HOME}/.julia/dev/DACE_jll/override","category":"page"},{"location":"tutorials/setting-up-your-development-environment/#On-Mac-OS-X-only:-build-our-own-version-of-libcxxwrap-julia","page":"Setting up your development environment","title":"On Mac OS X only: build our own version of libcxxwrap-julia","text":"","category":"section"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"note: Note\nSkip this section and continue to the next step if you are not running on Mac OS X.","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"On Mac OS X it seems that currently you need to build your own version of libcxxwrap-julia in order for the remaining instructions to work correctly.","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"First set up an override directory where we can build our own version of libcxxwrap-julia. We should still be in the DACE.jl directory from above (cd ${srcdir}/DACE.jl). Run julia --project to enter the Julia REPL and enter ] to enter the Pkg REPL mode, then","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"pkg> develop libcxxwrap_julia_jll","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"At this point we should also make a note of the version of libcxxwrapjuliajll:","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"pkg> status libcxxwrap_julia_jll","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"The above command should output something like:","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Project DACE v0.1.0\nStatus `/path/to/DACE.jl/Project.toml`\n [3eaa8342] libcxxwrap_julia_jll v0.13.2+0 `~/.julia/dev/libcxxwrap_julia_jll`","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"We can see that the version is v0.13.2 (ignore the \"+\" and anything after it).","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Back in the Julia REPL, import the package and run dev_jll:","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"julia> import libcxxwrap_julia_jll\njulia> libcxxwrap_julia_jll.dev_jll()","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"At the end of the above command it should print the path to the devved JLL, e.g. /home//.julia/dev/libcxxwrap_julia_jll. Inside that directory will be an override directory, which is where we will build our local version of libcxxwrap_julia. Make a note of the directory that was printed.","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Make sure you are still in the directory where we cloned the other git repos above, clone the libcxxwrap_julia repository and checkout the tag that matches the version you found above:","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"cd ${srcdir}\ngit clone https://github.com/JuliaInterop/libcxxwrap-julia.git\ncd libcxxwrap-julia\ngit checkout v0.13.2","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Now we will change to the directory where libcxxwrapjuliajll was devved out to and build our own version:","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"cd /home//.julia/dev/libcxxwrap_julia_jll/override\nrm -rf *\ncmake -DJulia_EXECUTABLE=$(which julia) ${srcdir}/libcxxwrap-julia\ncmake --build . --config Release","category":"page"},{"location":"tutorials/setting-up-your-development-environment/#Build-the-DACE-C-library","page":"Setting up your development environment","title":"Build the DACE C++ library","text":"","category":"section"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Switch to the DACE.jl directory from above:","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"cd ${srcdir}/DACE.jl","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Now find the CxxWrap prefix path by entering the Julia REPL (julia --project) and running","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"julia> import CxxWrap\njulia> CxxWrap.prefix_path()","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"This should return a path like:","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"\"/home//.julia/artifacts/fb412eee87eae845b84a799f0cabf241142406d7\"","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"with a different ID at the end (although it may look like /Users//.julia/dev/libcxxwrap_julia_jll on Mac OS X). We will use this path in the CMake command later so let's store it in an environment variable (make sure you replace the path below with your path):","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"export prefixpath=${HOME}/.julia/artifacts/fb412eee87eae845b84a799f0cabf241142406d7","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Now switch to the dace directory we cloned earlier (it should be alongside the DACE.jl directory we are currently working in):","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"cd ${srcdir}/dace","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Make a build directory and switch to it:","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"mkdir build\ncd build","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Now run the cmake command to configure DACE:","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"cmake .. \\\n -DCMAKE_INSTALL_PREFIX=${dacejllpath} \\\n -DCMAKE_PREFIX_PATH=${prefixpath} \\\n -DCMAKE_BUILD_TYPE=Release \\\n -DWITH_PTHREAD=ON \\\n -DWITH_ALGEBRAICMATRIX=ON \\\n -DCMAKE_CXX_STANDARD=17 \\\n -DWITH_JULIA=ON","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"and then build and install DACE with:","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"VERBOSE=ON cmake --build . --config Release --target install -- -j$(nproc)","category":"page"},{"location":"tutorials/setting-up-your-development-environment/#Verify-the-DACE-module-is-working","page":"Setting up your development environment","title":"Verify the DACE module is working","text":"","category":"section"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Switch back to the DACE.jl directory.","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"cd ${srcdir}/DACE.jl","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Enter the Julia REPL with julia --project and run","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"julia> using DACE\njulia> DACE.init(10, 1)\njulia> ?DACE.DA","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"which should show some help about the DACE.DA type.","category":"page"},{"location":"tutorials/setting-up-your-development-environment/#Make-a-change-to-the-local-DACE-library","page":"Setting up your development environment","title":"Make a change to the local DACE library","text":"","category":"section"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Now we will make a change to the local C++ source code and verify that the change is loaded in the Julia library.","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Switch back to the dace/build directory","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"cd ${srcdir}/dace/build","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Edit the interface file ../interfaces/julia/dace_julia.cxx using an editor such as vim or nano.","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Locate the DACE.init function, it should be near the top and look like","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"mod.method(\"init\", [](const unsigned int ord, const unsigned int nvar) {\n DA::init(ord, nvar);\n });","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"For reference,","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"mod.method adds a function to the Julia module\n\"init\" is the name of the function that is being added\n[](const unsigned int ord, const unsigned int nvar) denotes a C++ lambda function that runs when the function is called from Julia and takes two unsigned integer arguments\nthe lambda function body passes those two arguments to the DA::init routine, which is defined in the DACE C++ library","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"We will modify this method to add a print statement, such as","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"mod.method(\"init\", [](const unsigned int ord, const unsigned int nvar) {\n std::cout << \"initialising local version of DACE library...\" << std::endl;\n DA::init(ord, nvar);\n });","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"so that we can tell the local version has been loaded. Make the above change then save the file.","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"We should be in the build directory still. Execute the following command to build and install your change:","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"VERBOSE=ON cmake --build . --config Release --target install -- -j$(nproc)","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Now change back to the DACE.jl directory","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"cd ${srcdir}/DACE.jl","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"Once again, enter the Julia REPL with julia --project and run the DACE.init function we ran above:","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"julia> using DACE\njulia> DACE.init(10, 1)","category":"page"},{"location":"tutorials/setting-up-your-development-environment/","page":"Setting up your development environment","title":"Setting up your development environment","text":"This time it should print out the string we just added (initialising local version of DACE library...).","category":"page"},{"location":"tutorials/making-a-new-release-of-dace_jll/#Making-a-new-release-of-DACE_jll","page":"Making a new release of DACE_jll.jl","title":"Making a new release of DACE_jll","text":"","category":"section"},{"location":"tutorials/making-a-new-release-of-dace_jll/","page":"Making a new release of DACE_jll.jl","title":"Making a new release of DACE_jll.jl","text":"The DACE_jll Julia package contains the prebuilt DACE library (prebuilt for all combinations of platforms, Julia versions, etc. that Julia is supported on). BinaryBuilder.jl is used to build the libraries and publish them to the Julia registry.","category":"page"},{"location":"tutorials/making-a-new-release-of-dace_jll/","page":"Making a new release of DACE_jll.jl","title":"Making a new release of DACE_jll.jl","text":"The recipe for building the DACE library can be found on Yggdrasil in the D/DACE directory.","category":"page"},{"location":"tutorials/making-a-new-release-of-dace_jll/","page":"Making a new release of DACE_jll.jl","title":"Making a new release of DACE_jll.jl","text":"To make a new release of the DACE_jll package you can follow the steps in the following sections.","category":"page"},{"location":"tutorials/making-a-new-release-of-dace_jll/#Make-changes-to-the-DACE-C-code","page":"Making a new release of DACE_jll.jl","title":"Make changes to the DACE C++ code","text":"","category":"section"},{"location":"tutorials/making-a-new-release-of-dace_jll/","page":"Making a new release of DACE_jll.jl","title":"Making a new release of DACE_jll.jl","text":"Make your changes and commit them in the dace repo and test them (see setting up your development environment for help getting started with this step).","category":"page"},{"location":"tutorials/making-a-new-release-of-dace_jll/","page":"Making a new release of DACE_jll.jl","title":"Making a new release of DACE_jll.jl","text":"Make a note of the unique commit hash that identifies the commit that you want the new release of DACE_jll to be built against. This hash can be found using git log or via the commits view in the GitHub interface.","category":"page"},{"location":"tutorials/making-a-new-release-of-dace_jll/","page":"Making a new release of DACE_jll.jl","title":"Making a new release of DACE_jll.jl","text":"(Image: commithash.png)","category":"page"},{"location":"tutorials/making-a-new-release-of-dace_jll/#Fork-the-Yggdrasil-repository","page":"Making a new release of DACE_jll.jl","title":"Fork the Yggdrasil repository","text":"","category":"section"},{"location":"tutorials/making-a-new-release-of-dace_jll/","page":"Making a new release of DACE_jll.jl","title":"Making a new release of DACE_jll.jl","text":"On GitHub, make a fork of the Yggdrasil repository, clone that locally and create a branch for your changes","category":"page"},{"location":"tutorials/making-a-new-release-of-dace_jll/","page":"Making a new release of DACE_jll.jl","title":"Making a new release of DACE_jll.jl","text":"# fork in the github web interface, then...\n\n# clone the repo (replace with the correct URL for your fork)\ngit clone git@github.com:/Yggdrasil.git\n\n# change directory into the repo\ncd Yggdrasil\n\n# switch to a new branch\ngit checkout -b update-dace\n\n# switch to the D/DACE directory\ncd D/DACE","category":"page"},{"location":"tutorials/making-a-new-release-of-dace_jll/#Update-the-version-and-commit-hash","page":"Making a new release of DACE_jll.jl","title":"Update the version and commit hash","text":"","category":"section"},{"location":"tutorials/making-a-new-release-of-dace_jll/","page":"Making a new release of DACE_jll.jl","title":"Making a new release of DACE_jll.jl","text":"Edit the build_tarballs.jl file:","category":"page"},{"location":"tutorials/making-a-new-release-of-dace_jll/","page":"Making a new release of DACE_jll.jl","title":"Making a new release of DACE_jll.jl","text":"bump the version of the release on or around line 11:\nversion = v\"0.1.0\"\nnote: Note\nIt is highly recommended to follow semantic versioning\nchange the commit hash (on or around line 15) that the new version will be based on to the hash of the commit you identified above\nGitSource(\"https://github.com/a-ev/dace.git\", \"9fe534f9b27c147a171bce1ad7dc8b4706a9457e\"),\nwhere 9fe534f9b27c147a171bce1ad7dc8b4706a9457e is the commit hash","category":"page"},{"location":"tutorials/making-a-new-release-of-dace_jll/#Check-the-version-of-libcxxwrap_julia_jll","page":"Making a new release of DACE_jll.jl","title":"Check the version of libcxxwrap_julia_jll","text":"","category":"section"},{"location":"tutorials/making-a-new-release-of-dace_jll/","page":"Making a new release of DACE_jll.jl","title":"Making a new release of DACE_jll.jl","text":"In build_tarballs.jl, check the version of libcxxwrap_julia_jll which is linked to the version of CxxWrap.jl. When bumping the version of the CxxWrap dependency in the DACE.jl package you may also need to bump the version of libcxxwrap_julia_jll on or around line 55:","category":"page"},{"location":"tutorials/making-a-new-release-of-dace_jll/","page":"Making a new release of DACE_jll.jl","title":"Making a new release of DACE_jll.jl","text":"Dependency(\"libcxxwrap_julia_jll\"; compat = \"~0.12.2\"),","category":"page"},{"location":"tutorials/making-a-new-release-of-dace_jll/","page":"Making a new release of DACE_jll.jl","title":"Making a new release of DACE_jll.jl","text":"important: Important\nMake sure the version of libcxxwrap_julia_jll is compatible with the version of CxxWrap,jl in your Project.toml for DACE.jl. See also the Using libcxxwrap-julia as a dependency for downstream packages.","category":"page"},{"location":"tutorials/making-a-new-release-of-dace_jll/#Create-a-pull-request","page":"Making a new release of DACE_jll.jl","title":"Create a pull request","text":"","category":"section"},{"location":"tutorials/making-a-new-release-of-dace_jll/","page":"Making a new release of DACE_jll.jl","title":"Making a new release of DACE_jll.jl","text":"Commit and push your changes into your fork of Yggdrasil:","category":"page"},{"location":"tutorials/making-a-new-release-of-dace_jll/","page":"Making a new release of DACE_jll.jl","title":"Making a new release of DACE_jll.jl","text":"git add build_tarballs.jl\ngit commit -m \"[DACE] bump version\"\ngit push","category":"page"},{"location":"tutorials/making-a-new-release-of-dace_jll/","page":"Making a new release of DACE_jll.jl","title":"Making a new release of DACE_jll.jl","text":"You may need to set the upstream of your repo for git push to work. The above commands are just examples and may need tweaking.","category":"page"},{"location":"tutorials/making-a-new-release-of-dace_jll/","page":"Making a new release of DACE_jll.jl","title":"Making a new release of DACE_jll.jl","text":"Create a pull request back to the main Yggdrasil repo. The builds will run automatically and you can view their status in the pull request. If they all succeed someone will merge them automatically (you don't need to do anything else). For example, see the Add DACE recipe pull request.","category":"page"},{"location":"tutorials/making-a-new-release-of-dace_jll/#Reference","page":"Making a new release of DACE_jll.jl","title":"Reference","text":"","category":"section"},{"location":"tutorials/making-a-new-release-of-dace_jll/","page":"Making a new release of DACE_jll.jl","title":"Making a new release of DACE_jll.jl","text":"
View complete example of build_tarballs.jl","category":"page"},{"location":"tutorials/making-a-new-release-of-dace_jll/","page":"Making a new release of DACE_jll.jl","title":"Making a new release of DACE_jll.jl","text":"# Note that this script can accept some limited command-line arguments, run\n# `julia build_tarballs.jl --help` to see a usage message.\nusing BinaryBuilder, Pkg\n\n# See https://github.com/JuliaLang/Pkg.jl/issues/2942\n# Once this Pkg issue is resolved, this must be removed\nuuid = Base.UUID(\"a83860b7-747b-57cf-bf1f-3e79990d037f\")\ndelete!(Pkg.Types.get_last_stdlibs(v\"1.6.3\"), uuid)\n\nname = \"DACE\"\nversion = v\"0.1.0\"\n\n# Collection of sources required to build DACE\nsources = [\n GitSource(\"https://github.com/a-ev/dace.git\", \"9fe534f9b27c147a171bce1ad7dc8b4706a9457e\"),\n DirectorySource(\"./bundled\"),\n]\n\n# Bash recipe for building across all platforms\nscript = raw\"\"\"\ncd $WORKSPACE/srcdir/dace\n\ngit apply ../patches/no-safe-strings.patch\n\ncmake . -B build \\\n -DJulia_PREFIX=${prefix} \\\n -DCMAKE_INSTALL_PREFIX=${prefix} \\\n -DCMAKE_TOOLCHAIN_FILE=${CMAKE_TARGET_TOOLCHAIN} \\\n -DCMAKE_FIND_ROOT_PATH=${prefix} \\\n -DCMAKE_BUILD_TYPE=Release \\\n -DWITH_PTHREAD=ON \\\n -DWITH_ALGEBRAICMATRIX=ON \\\n -DCMAKE_CXX_STANDARD=17 \\\n -DWITH_JULIA=ON\n\nVERBOSE=ON cmake --build build --config Release --target install -- -j${nproc}\n\ninstall_license {LICENSE,NOTICE}\n\"\"\"\n\n# These are the platforms we will build for by default, unless further\n# platforms are passed in on the command line\ninclude(\"../../L/libjulia/common.jl\")\nplatforms = vcat(libjulia_platforms.(julia_versions)...)\nplatforms = expand_cxxstring_abis(platforms)\n\n# The products that we will ensure are always built\nproducts = [\n LibraryProduct(\"libdace\", :libdace),\n]\n\n# Dependencies that must be installed before this package can be built\ndependencies = [\n BuildDependency(PackageSpec(name=\"libjulia_jll\")),\n Dependency(\"libcxxwrap_julia_jll\"; compat = \"~0.12.2\"),\n]\n\n# Build the tarballs, and possibly a `build.jl` as well.\nbuild_tarballs(\n ARGS,\n name,\n version,\n sources,\n script,\n platforms,\n products,\n dependencies;\n julia_compat = \"1.6\",\n preferred_gcc_version = v\"12\",\n)\n\n# rebuild trigger: 0","category":"page"},{"location":"tutorials/making-a-new-release-of-dace_jll/","page":"Making a new release of DACE_jll.jl","title":"Making a new release of DACE_jll.jl","text":"
","category":"page"},{"location":"#DACE.jl","page":"Home","title":"DACE.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"This is the documentation page for DACE.jl, a Julia interface to the DACE library.","category":"page"},{"location":"#Getting-started","page":"Home","title":"Getting started","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"DACE.jl can be installed using the Julia package manager. From the Julia REPL, type ] to enter the Pkg REPL mode and run","category":"page"},{"location":"","page":"Home","title":"Home","text":"pkg> add DACE","category":"page"},{"location":"#Notes-about-the-interface","page":"Home","title":"Notes about the interface","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"The Julia interface is built using CxxWrap.jl\nThe C++ source for the interface is currently in this fork of the DACE library\nThe C++ code gets built by BinaryBuilder and released into the Julia registry\nthe build recipe is located here\nThe Julia component of the interface is currently here\nthe DACE library has been released to the Julia General registry","category":"page"},{"location":"","page":"Home","title":"Home","text":"The above may change, in particular we hope to:","category":"page"},{"location":"","page":"Home","title":"Home","text":"merge the forked DACE library back to upstream, if possible\nmove the DACE.jl package under the dacelib organisation on GitHub, if possible","category":"page"},{"location":"#Differences-compared-to-the-C-interface","page":"Home","title":"Differences compared to the C++ interface","text":"","category":"section"},{"location":"#DA-constructor","page":"Home","title":"DA constructor","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"The DA constructor is different in the Julia interface compared to C++. In C++ if you create a DA object with a single argument the behaviour is different depending on whether the argument is an integer or double. For example, in C++:","category":"page"},{"location":"","page":"Home","title":"Home","text":"DA(1) creates a DA object representing 1.0 times the independent variable number 1\nDA(1.0) creates a DA object with the constant part equal to 1.0\nDA(1, 1.0) or DA(1, 1) both create a DA representing 1.0 times the independent variable number 1 (same as first bullet point above)","category":"page"},{"location":"","page":"Home","title":"Home","text":"In Julia with CxxWrap, there is an issue detecting the difference between integer and double when passing a single value on Windows, resulting in huge numbers of warnings being printed to screen. Therefore, in the Julia interface we have:","category":"page"},{"location":"","page":"Home","title":"Home","text":"DA(1) and DA(1.0) both create a DA object with the constant part equal to 1.0\nDA(1, 1.0) or DA(1, 1) both create a DA representing 1.0 times the independent variable number 1","category":"page"},{"location":"tutorials/making-a-new-release-of-dace/#Making-a-new-release-of-DACE.jl","page":"Making a new release of DACE.jl","title":"Making a new release of DACE.jl","text":"","category":"section"},{"location":"tutorials/making-a-new-release-of-dace/","page":"Making a new release of DACE.jl","title":"Making a new release of DACE.jl","text":"A new release of DACE.jl is created using Registrator.jl by following these steps:","category":"page"},{"location":"tutorials/making-a-new-release-of-dace/","page":"Making a new release of DACE.jl","title":"Making a new release of DACE.jl","text":"Make sure all the changes you want to be included in the new release are in the main branch in the GitHub repository\nMake a new commit in the main branch that increments the version specified in Project.toml\nOpen the commit you just made in the GitHub web interface (the list of commits on the main branch can be viewed here)\nAdd a comment to the commit with the following text: @JuliaRegistrator register\nthis will automatically open a pull request against the Julia registry to make a new release and it should be processed automatically\nthe registrator bot will add a comment after yours with any other instructions\nfor example, this is the commit we initially released and you can see the comment we added there to initiate the release","category":"page"}] +} diff --git a/v0.1.1/siteinfo.js b/v0.1.1/siteinfo.js new file mode 100644 index 0000000..20089fd --- /dev/null +++ b/v0.1.1/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "v0.1.1"; diff --git a/v0.1.1/tutorials/making-a-new-release-of-dace/index.html b/v0.1.1/tutorials/making-a-new-release-of-dace/index.html new file mode 100644 index 0000000..05d4e91 --- /dev/null +++ b/v0.1.1/tutorials/making-a-new-release-of-dace/index.html @@ -0,0 +1,2 @@ + +Making a new release of DACE.jl · DACE.jl
GitHub

Making a new release of DACE.jl

A new release of DACE.jl is created using Registrator.jl by following these steps:

  1. Make sure all the changes you want to be included in the new release are in the main branch in the GitHub repository
  2. Make a new commit in the main branch that increments the version specified in Project.toml
  3. Open the commit you just made in the GitHub web interface (the list of commits on the main branch can be viewed here)
  4. Add a comment to the commit with the following text: @JuliaRegistrator register
    • this will automatically open a pull request against the Julia registry to make a new release and it should be processed automatically
    • the registrator bot will add a comment after yours with any other instructions
    • for example, this is the commit we initially released and you can see the comment we added there to initiate the release
diff --git a/v0.1.1/tutorials/making-a-new-release-of-dace_jll/index.html b/v0.1.1/tutorials/making-a-new-release-of-dace_jll/index.html new file mode 100644 index 0000000..4bd1ae6 --- /dev/null +++ b/v0.1.1/tutorials/making-a-new-release-of-dace_jll/index.html @@ -0,0 +1,87 @@ + +Making a new release of DACE_jll.jl · DACE.jl
GitHub

Making a new release of DACE_jll

The DACE_jll Julia package contains the prebuilt DACE library (prebuilt for all combinations of platforms, Julia versions, etc. that Julia is supported on). BinaryBuilder.jl is used to build the libraries and publish them to the Julia registry.

The recipe for building the DACE library can be found on Yggdrasil in the D/DACE directory.

To make a new release of the DACE_jll package you can follow the steps in the following sections.

Make changes to the DACE C++ code

Make your changes and commit them in the dace repo and test them (see setting up your development environment for help getting started with this step).

Make a note of the unique commit hash that identifies the commit that you want the new release of DACE_jll to be built against. This hash can be found using git log or via the commits view in the GitHub interface.

commithash.png

Fork the Yggdrasil repository

On GitHub, make a fork of the Yggdrasil repository, clone that locally and create a branch for your changes

# fork in the github web interface, then...
+
+# clone the repo (replace with the correct URL for your fork)
+git clone git@github.com:<namespace>/Yggdrasil.git
+
+# change directory into the repo
+cd Yggdrasil
+
+# switch to a new branch
+git checkout -b update-dace
+
+# switch to the D/DACE directory
+cd D/DACE

Update the version and commit hash

Edit the build_tarballs.jl file:

  • bump the version of the release on or around line 11:

    version = v"0.1.0"
    Note

    It is highly recommended to follow semantic versioning

  • change the commit hash (on or around line 15) that the new version will be based on to the hash of the commit you identified above

    GitSource("https://github.com/a-ev/dace.git", "9fe534f9b27c147a171bce1ad7dc8b4706a9457e"),

    where 9fe534f9b27c147a171bce1ad7dc8b4706a9457e is the commit hash

Check the version of libcxxwrap_julia_jll

In build_tarballs.jl, check the version of libcxxwrap_julia_jll which is linked to the version of CxxWrap.jl. When bumping the version of the CxxWrap dependency in the DACE.jl package you may also need to bump the version of libcxxwrap_julia_jll on or around line 55:

Dependency("libcxxwrap_julia_jll"; compat = "~0.12.2"),
Important

Make sure the version of libcxxwrap_julia_jll is compatible with the version of CxxWrap,jl in your Project.toml for DACE.jl. See also the Using libcxxwrap-julia as a dependency for downstream packages.

Create a pull request

Commit and push your changes into your fork of Yggdrasil:

git add build_tarballs.jl
+git commit -m "[DACE] bump version"
+git push

You may need to set the upstream of your repo for git push to work. The above commands are just examples and may need tweaking.

Create a pull request back to the main Yggdrasil repo. The builds will run automatically and you can view their status in the pull request. If they all succeed someone will merge them automatically (you don't need to do anything else). For example, see the Add DACE recipe pull request.

Reference

View complete example of build_tarballs.jl
# Note that this script can accept some limited command-line arguments, run
+# `julia build_tarballs.jl --help` to see a usage message.
+using BinaryBuilder, Pkg
+
+# See https://github.com/JuliaLang/Pkg.jl/issues/2942
+# Once this Pkg issue is resolved, this must be removed
+uuid = Base.UUID("a83860b7-747b-57cf-bf1f-3e79990d037f")
+delete!(Pkg.Types.get_last_stdlibs(v"1.6.3"), uuid)
+
+name = "DACE"
+version = v"0.1.0"
+
+# Collection of sources required to build DACE
+sources = [
+    GitSource("https://github.com/a-ev/dace.git", "9fe534f9b27c147a171bce1ad7dc8b4706a9457e"),
+    DirectorySource("./bundled"),
+]
+
+# Bash recipe for building across all platforms
+script = raw"""
+cd $WORKSPACE/srcdir/dace
+
+git apply ../patches/no-safe-strings.patch
+
+cmake . -B build \
+    -DJulia_PREFIX=${prefix} \
+    -DCMAKE_INSTALL_PREFIX=${prefix} \
+    -DCMAKE_TOOLCHAIN_FILE=${CMAKE_TARGET_TOOLCHAIN} \
+    -DCMAKE_FIND_ROOT_PATH=${prefix} \
+    -DCMAKE_BUILD_TYPE=Release \
+    -DWITH_PTHREAD=ON \
+    -DWITH_ALGEBRAICMATRIX=ON \
+    -DCMAKE_CXX_STANDARD=17 \
+    -DWITH_JULIA=ON
+
+VERBOSE=ON cmake --build build --config Release --target install -- -j${nproc}
+
+install_license {LICENSE,NOTICE}
+"""
+
+# These are the platforms we will build for by default, unless further
+# platforms are passed in on the command line
+include("../../L/libjulia/common.jl")
+platforms = vcat(libjulia_platforms.(julia_versions)...)
+platforms = expand_cxxstring_abis(platforms)
+
+# The products that we will ensure are always built
+products = [
+    LibraryProduct("libdace", :libdace),
+]
+
+# Dependencies that must be installed before this package can be built
+dependencies = [
+    BuildDependency(PackageSpec(name="libjulia_jll")),
+    Dependency("libcxxwrap_julia_jll"; compat = "~0.12.2"),
+]
+
+# Build the tarballs, and possibly a `build.jl` as well.
+build_tarballs(
+    ARGS,
+    name,
+    version,
+    sources,
+    script,
+    platforms,
+    products,
+    dependencies;
+    julia_compat = "1.6",
+    preferred_gcc_version = v"12",
+)
+
+# rebuild trigger: 0
diff --git a/v0.1.1/tutorials/modifying-the-cxx-side-of-the-interface/index.html b/v0.1.1/tutorials/modifying-the-cxx-side-of-the-interface/index.html new file mode 100644 index 0000000..e819f5a --- /dev/null +++ b/v0.1.1/tutorials/modifying-the-cxx-side-of-the-interface/index.html @@ -0,0 +1,33 @@ + +Modifying the C++ side of the interface · DACE.jl
GitHub

Modifying the C++ side of the interface

This tutorial will give a brief explanation of the C++ side of the DACE Julia interface, which will hopefully allow you to make changes and add new functionality to the interface.

Note that there are two sides to the interface:

  • the C++ side of the interface, which exists in the DACE C++ source code
  • the Julia side of the interface, which exists in the DACE.jl Julia package

The Julia interface on the C++ side is created using CxxWrap.jl, which is documented in the README.md file in their git repo.

Note

It is assumed that you have successfully followed the tutorial to set up your development environment. It is also assumed that you will refer to the CxxWrap.jl documentation.

Switch to your dace directory

Switch to your dace directory that you set up during the setting up your development environment tutorial

cd /path/to/dace

Inside that directory you should see a sub-directory called build which is where we have compiled the DACE C++ library. You should also see an interfaces directory. Switch into the interfaces/julia directory

cd interfaces/julia

Inside this directory you will see the file dace_julia.cxx, which contains the source code for the Julia interface.

Defining the Julia module

In dace_julia.cxx you will see

JLCXX_MODULE define_julia_module(jlcxx::module& mod) {
+    // code omitted here
+}

All the methods and types defined within the define_julia_module function using mod will belong to the generated Julia module when we load it in the DACE.jl package.

Refer also to the CxxWrap.jl module entry point documentation.

Adding DA static methods

In the first section of the define_julia_module function we add some DA static methods:

// add DA static methods separately
+mod.method("init", [](const unsigned int ord, const unsigned int nvar) {
+        DA::init(ord, nvar);
+    });
+mod.method("getMaxOrder", []()->int64_t { return DA::getMaxOrder(); });
+mod.method("getMaxVariables", []()->int64_t { return DA::getMaxVariables(); });
+mod.method("getMaxMonomials", []()->int64_t { return DA::getMaxMonomials(); });
+mod.method("setEps", [](const double eps) { return DA::setEps(eps); });
+mod.method("getEps", []() { return DA::getEps(); });
+mod.method("getEpsMac", []() { return DA::getEpsMac(); });
+mod.method("setTO", [](const unsigned int ot) { return DA::setTO(ot); });
+mod.method("getTO", []() { return DA::getTO(); });
+mod.method("pushTO", [](const unsigned int ot) { DA::pushTO(ot); });
+mod.method("popTO", []() { DA::popTO(); });

Here mod is the Julia module and when we call mod.method we are adding a new method (function) to the Julia module.

Take the init function for example:

mod.method("init", [](const unsigned int ord, const unsigned int nvar) { DA::init(ord, nvar); });

The first argument to mod.method is the name of the function as it should appear in the Julia module that we are creating, in this case the new function will be named init.

The second argument to mod.method is the C++ function that should be called when some calls the init function in the Julia module that we are creating. In this case we are using a C++ lambda function but you could pass a normal C++ function also. The lambda function, denoted by the [], takes two arguments, ord and nvar (the order and number of variables) and runs the code within the curly braces, DA::init(ord, nvar);, i.e. it calls the DA static method init with the two arguments that were passed in from Julia.

You can return values back to Julia and CxxWrap.jl can automatically infer the type of the return value, such as:

mod.method("getEps", []() { return DA::getEps(); });

is a lambda function ([]) that takes no arguments (()) and returns the epsilon value return DA::getEps(); and automatically converts the C++ return type to a Julia type.

It is also possible to specify the return type, which we have done in some cases to avoid compiler warnings, e.g. we specify the return type of getMaxOrder to be of type int64_t here:

mod.method("getMaxOrder", []()->int64_t { return DA::getMaxOrder(); });

Adding the DA type

Refer to the CxxWrap.jl documentation about exposing C++ classes.

C++ classes are exposed to Julia using mod.add_type<>(), for example we expose the DA class with:

// add the DA object
+mod.add_type<DA>("DA", jlcxx::julia_type("Real", "Base"))

Here the template parameter, <DA>, is the C++ class to expose, the first argument "DA" is the name of corresponding type to create in Julia and the optional second argument can be used to specify which type the new type should inherit from. In this case the Julia DA type will inherit from the Julia Real type (jlcxx::julia_type("Real", "Base")).

Different constructors for the new type can be added, here we define three constructors:

mod.add_type<DA>("DA", jlcxx::julia_type("Real", "Base"))
+    .constructor<>()
+    .constructor<const double>()
+    .constructor<const int, const double>()
  • .constructor<>(): the default constructor that takes no arguments
  • .constructor<const double(): the DA constructor that takes a single double as an argument
  • .constructor<const int, const double>(): the DA constructor that takes and integer and double

CxxWrap will automatically call the correct C++ constructor that matches the arguments in the template parameters.

Adding methods to the DA type

Methods can be chained onto the mod.add_type or defined separately. An example of chaining a method is:

mod.add_type<DA>("DA", jlcxx::julia_type("Real", "Base"))
+    .constructor<>()
+    .constructor<const double>()
+    .constructor<const int, const double>()
+    .method("toString", &DA::toString);

After the three constructors we also add DA::toString as a method in the Julia module named toString. CxxWrap will automatically make the first argument of the method a DA type because we have chained it onto the mod.add_type<DA>().

We can also directly add DA methods using:

mod.method("gamma", [](const DA& da) { return da.GammaFunction(); });

which creates a "gamma" Julia method that is called with a DA as the first argument and returns the result of calling the C++ DA member function da.GammaFunction().

Adding methods to another module

So far, whenever we use mod.method or mod.add_type it adds the methods and types to our new Julia module. We can add methods to another module, such as the Julia Base module, using

mod.set_override_module(jl_base_module);
+
+// all methods here are added to the base module
+mod.method("+", [](const DA& da1, const DA& da2) { return da1 + da2; });
+mod.method("+", [](const DA& da, const double c) { return da + c; });
+mod.method("+", [](const double c, const DA& da) { return c + da; });
+
+// until we call this, then subsequent calls to mod.method will add methods to our module again
+mod.unset_override_module();
diff --git a/v0.1.1/tutorials/setting-up-your-development-environment/index.html b/v0.1.1/tutorials/setting-up-your-development-environment/index.html new file mode 100644 index 0000000..56683ef --- /dev/null +++ b/v0.1.1/tutorials/setting-up-your-development-environment/index.html @@ -0,0 +1,31 @@ + +Setting up your development environment · DACE.jl
GitHub

Setting up your development environment

This tutorial will run through setting up DACE_jll.jl, DACE.jl and the DACE C++ library for development locally. It has been tested on Linux.

After running this tutorial, you should be able to make changes to the C++ code that defines the DACE Julia interface, compile those changes and test them via the DACE.jl Julia package locally.

This is based on the upstream binary builder documention for how to develop locally:

and also CxxWrap documentation:

Clone repos

Create and change to a new directory that we can clone the DACE code into. Then run the following:

  • DACE.jl Julia package
    git clone https://github.com/a-ev/DACE.jl.git
  • DACE C++ library (note specific branch required)
    git clone --branch julia-interface https://github.com/a-ev/dace.git

Set an environment variable with the path to the current directory, so we can refer back to it later:

export srcdir=$PWD

Setup DACE_jll.jl for development

Switch to the DACE.jl directory that you cloned above:

cd ${srcdir}/DACE.jl

Run julia --project to enter the Julia REPL and enter ] to enter the Pkg REPL mode, then

(DACE) pkg> instantiate
+(DACE) pkg> develop DACE_jll

After running the above, press backspace to return to the Julia REPL and run

julia> using DACE_jll
+julia> DACE_jll.dev_jll()

At the end of the above command it will print a location of the override directory, e.g.

...
+[ Info: DACE_jll dev'ed out to /home/<username>/.julia/dev/DACE_jll with pre-populated override directory

The directory /home/<username>/.julia/dev/DACE_jll/override contains the dace shared libraries and headers in lib and includes directories. We can delete the contents of this directory and replace it with our own version that we build locally.

Don't just copy this command, make sure the path corresponds to the path in your output above.

rm -rf /home/<username>/.julia/dev/DACE_jll/override/*

Now store the path in an environment variable so that we can use it later (make sure you replace the path below with your path):

export dacejllpath=${HOME}/.julia/dev/DACE_jll/override

On Mac OS X only: build our own version of libcxxwrap-julia

Note

Skip this section and continue to the next step if you are not running on Mac OS X.

On Mac OS X it seems that currently you need to build your own version of libcxxwrap-julia in order for the remaining instructions to work correctly.

First set up an override directory where we can build our own version of libcxxwrap-julia. We should still be in the DACE.jl directory from above (cd ${srcdir}/DACE.jl). Run julia --project to enter the Julia REPL and enter ] to enter the Pkg REPL mode, then

pkg> develop libcxxwrap_julia_jll

At this point we should also make a note of the version of libcxxwrapjuliajll:

pkg> status libcxxwrap_julia_jll

The above command should output something like:

Project DACE v0.1.0
+Status `/path/to/DACE.jl/Project.toml`
+  [3eaa8342] libcxxwrap_julia_jll v0.13.2+0 `~/.julia/dev/libcxxwrap_julia_jll`

We can see that the version is v0.13.2 (ignore the "+" and anything after it).

Back in the Julia REPL, import the package and run dev_jll:

julia> import libcxxwrap_julia_jll
+julia> libcxxwrap_julia_jll.dev_jll()

At the end of the above command it should print the path to the devved JLL, e.g. /home/<username>/.julia/dev/libcxxwrap_julia_jll. Inside that directory will be an override directory, which is where we will build our local version of libcxxwrap_julia. Make a note of the directory that was printed.

Make sure you are still in the directory where we cloned the other git repos above, clone the libcxxwrap_julia repository and checkout the tag that matches the version you found above:

cd ${srcdir}
+git clone https://github.com/JuliaInterop/libcxxwrap-julia.git
+cd libcxxwrap-julia
+git checkout v0.13.2

Now we will change to the directory where libcxxwrapjuliajll was devved out to and build our own version:

cd /home/<username>/.julia/dev/libcxxwrap_julia_jll/override
+rm -rf *
+cmake -DJulia_EXECUTABLE=$(which julia) ${srcdir}/libcxxwrap-julia
+cmake --build . --config Release

Build the DACE C++ library

Switch to the DACE.jl directory from above:

cd ${srcdir}/DACE.jl

Now find the CxxWrap prefix path by entering the Julia REPL (julia --project) and running

julia> import CxxWrap
+julia> CxxWrap.prefix_path()

This should return a path like:

"/home/<username>/.julia/artifacts/fb412eee87eae845b84a799f0cabf241142406d7"

with a different ID at the end (although it may look like /Users/<username>/.julia/dev/libcxxwrap_julia_jll on Mac OS X). We will use this path in the CMake command later so let's store it in an environment variable (make sure you replace the path below with your path):

export prefixpath=${HOME}/.julia/artifacts/fb412eee87eae845b84a799f0cabf241142406d7

Now switch to the dace directory we cloned earlier (it should be alongside the DACE.jl directory we are currently working in):

cd ${srcdir}/dace

Make a build directory and switch to it:

mkdir build
+cd build

Now run the cmake command to configure DACE:

cmake .. \
+    -DCMAKE_INSTALL_PREFIX=${dacejllpath} \
+    -DCMAKE_PREFIX_PATH=${prefixpath} \
+    -DCMAKE_BUILD_TYPE=Release \
+    -DWITH_PTHREAD=ON \
+    -DWITH_ALGEBRAICMATRIX=ON \
+    -DCMAKE_CXX_STANDARD=17 \
+    -DWITH_JULIA=ON

and then build and install DACE with:

VERBOSE=ON cmake --build . --config Release --target install -- -j$(nproc)

Verify the DACE module is working

Switch back to the DACE.jl directory.

cd ${srcdir}/DACE.jl

Enter the Julia REPL with julia --project and run

julia> using DACE
+julia> DACE.init(10, 1)
+julia> ?DACE.DA

which should show some help about the DACE.DA type.

Make a change to the local DACE library

Now we will make a change to the local C++ source code and verify that the change is loaded in the Julia library.

Switch back to the dace/build directory

cd ${srcdir}/dace/build

Edit the interface file ../interfaces/julia/dace_julia.cxx using an editor such as vim or nano.

Locate the DACE.init function, it should be near the top and look like

mod.method("init", [](const unsigned int ord, const unsigned int nvar) {
+        DA::init(ord, nvar);
+    });

For reference,

  • mod.method adds a function to the Julia module
  • "init" is the name of the function that is being added
  • [](const unsigned int ord, const unsigned int nvar) denotes a C++ lambda function that runs when the function is called from Julia and takes two unsigned integer arguments
  • the lambda function body passes those two arguments to the DA::init routine, which is defined in the DACE C++ library

We will modify this method to add a print statement, such as

mod.method("init", [](const unsigned int ord, const unsigned int nvar) {
+        std::cout << "initialising local version of DACE library..." << std::endl;
+        DA::init(ord, nvar);
+    });

so that we can tell the local version has been loaded. Make the above change then save the file.

We should be in the build directory still. Execute the following command to build and install your change:

VERBOSE=ON cmake --build . --config Release --target install -- -j$(nproc)

Now change back to the DACE.jl directory

cd ${srcdir}/DACE.jl

Once again, enter the Julia REPL with julia --project and run the DACE.init function we ran above:

julia> using DACE
+julia> DACE.init(10, 1)

This time it should print out the string we just added (initialising local version of DACE library...).

diff --git a/versions.js b/versions.js index a038c8a..7d3080b 100644 --- a/versions.js +++ b/versions.js @@ -3,5 +3,5 @@ var DOC_VERSIONS = [ "v0.1", "dev", ]; -var DOCUMENTER_NEWEST = "v0.1.0"; +var DOCUMENTER_NEWEST = "v0.1.1"; var DOCUMENTER_STABLE = "stable";